%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU665^1 : 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 : n015.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 08:32:54 AM UTC 2026
% Result : Theorem 144.53s 20.64s
% Output : Refutation 144.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 6
% Syntax : Number of formulae : 84 ( 41 unt; 0 typ; 2 def)
% Number of atoms : 3420 ( 867 equ; 0 cnn)
% Maximal formula atoms : 185 ( 40 avg)
% Number of connectives : 2347 ( 33 ~; 63 |; 593 &; 815 @)
% ( 2 <=>; 784 =>; 0 <=; 0 <~>)
% Maximal formula depth : 197 ( 19 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 41 ( 41 >; 0 *; 0 +; 0 <<)
% Number of symbols : 326 ( 321 usr; 191 con; 0-4 aty)
% ( 40 !!; 17 ??; 0 @@+; 0 @@-)
% Number of variables : 223 ( 0 sgn 96 !; 14 ?; 223 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
in: $i > $i > $o ).
thf(func_def_1,type,
exu: ( $i > $o ) > $o ).
thf(func_def_3,type,
setextAx: $o ).
thf(func_def_5,type,
emptysetAx: $o ).
thf(func_def_6,type,
setadjoin: $i > $i > $i ).
thf(func_def_7,type,
setadjoinAx: $o ).
thf(func_def_8,type,
powerset: $i > $i ).
thf(func_def_9,type,
powersetAx: $o ).
thf(func_def_10,type,
setunion: $i > $i ).
thf(func_def_11,type,
setunionAx: $o ).
thf(func_def_13,type,
omega0Ax: $o ).
thf(func_def_14,type,
omegaSAx: $o ).
thf(func_def_15,type,
omegaIndAx: $o ).
thf(func_def_16,type,
replAx: $o ).
thf(func_def_17,type,
foundationAx: $o ).
thf(func_def_18,type,
wellorderingAx: $o ).
thf(func_def_19,type,
descr: ( $i > $o ) > $i ).
thf(func_def_20,type,
descrp: $o ).
thf(func_def_21,type,
dsetconstr: $i > ( $i > $o ) > $i ).
thf(func_def_22,type,
dsetconstrI: $o ).
thf(func_def_23,type,
dsetconstrEL: $o ).
thf(func_def_24,type,
dsetconstrER: $o ).
thf(func_def_25,type,
exuE1: $o ).
thf(func_def_26,type,
prop2set: $o > $i ).
thf(func_def_27,type,
prop2setE: $o ).
thf(func_def_28,type,
emptysetE: $o ).
thf(func_def_29,type,
emptysetimpfalse: $o ).
thf(func_def_30,type,
notinemptyset: $o ).
thf(func_def_31,type,
exuE3e: $o ).
thf(func_def_32,type,
setext: $o ).
thf(func_def_33,type,
emptyI: $o ).
thf(func_def_34,type,
noeltsimpempty: $o ).
thf(func_def_35,type,
setbeta: $o ).
thf(func_def_36,type,
nonempty: $i > $o ).
thf(func_def_37,type,
nonemptyE1: $o ).
thf(func_def_38,type,
nonemptyI: $o ).
thf(func_def_39,type,
nonemptyI1: $o ).
thf(func_def_40,type,
setadjoinIL: $o ).
thf(func_def_41,type,
emptyinunitempty: $o ).
thf(func_def_42,type,
setadjoinIR: $o ).
thf(func_def_43,type,
setadjoinE: $o ).
thf(func_def_44,type,
setadjoinOr: $o ).
thf(func_def_45,type,
setoftrueEq: $o ).
thf(func_def_46,type,
powersetI: $o ).
thf(func_def_47,type,
emptyinPowerset: $o ).
thf(func_def_48,type,
emptyInPowerset: $o ).
thf(func_def_49,type,
powersetE: $o ).
thf(func_def_50,type,
setunionI: $o ).
thf(func_def_51,type,
setunionE: $o ).
thf(func_def_52,type,
subPowSU: $o ).
thf(func_def_53,type,
exuE2: $o ).
thf(func_def_54,type,
nonemptyImpWitness: $o ).
thf(func_def_55,type,
uniqinunit: $o ).
thf(func_def_56,type,
notinsingleton: $o ).
thf(func_def_57,type,
eqinunit: $o ).
thf(func_def_58,type,
singletonsswitch: $o ).
thf(func_def_59,type,
upairsetE: $o ).
thf(func_def_60,type,
upairsetIL: $o ).
thf(func_def_61,type,
upairsetIR: $o ).
thf(func_def_62,type,
emptyE1: $o ).
thf(func_def_63,type,
vacuousDall: $o ).
thf(func_def_64,type,
quantDeMorgan1: $o ).
thf(func_def_65,type,
quantDeMorgan2: $o ).
thf(func_def_66,type,
quantDeMorgan3: $o ).
thf(func_def_67,type,
quantDeMorgan4: $o ).
thf(func_def_68,type,
prop2setI: $o ).
thf(func_def_69,type,
set2prop: $i > $o ).
thf(func_def_70,type,
prop2set2propI: $o ).
thf(func_def_71,type,
notdexE: $o ).
thf(func_def_72,type,
notdallE: $o ).
thf(func_def_73,type,
exuI1: $o ).
thf(func_def_74,type,
exuI3: $o ).
thf(func_def_75,type,
exuI2: $o ).
thf(func_def_76,type,
inCongP: $o ).
thf(func_def_77,type,
in__Cong: $o ).
thf(func_def_78,type,
exuE3u: $o ).
thf(func_def_79,type,
exu__Cong: $o ).
thf(func_def_80,type,
emptyset__Cong: $o ).
thf(func_def_81,type,
setadjoin__Cong: $o ).
thf(func_def_82,type,
powerset__Cong: $o ).
thf(func_def_83,type,
setunion__Cong: $o ).
thf(func_def_84,type,
omega__Cong: $o ).
thf(func_def_85,type,
exuEu: $o ).
thf(func_def_86,type,
descr__Cong: $o ).
thf(func_def_87,type,
dsetconstr__Cong: $o ).
thf(func_def_88,type,
subset: $i > $i > $o ).
thf(func_def_89,type,
disjoint: $i > $i > $o ).
thf(func_def_90,type,
setsmeet: $i > $i > $o ).
thf(func_def_91,type,
subsetI1: $o ).
thf(func_def_92,type,
eqimpsubset2: $o ).
thf(func_def_93,type,
eqimpsubset1: $o ).
thf(func_def_94,type,
subsetI2: $o ).
thf(func_def_95,type,
emptysetsubset: $o ).
thf(func_def_96,type,
subsetE: $o ).
thf(func_def_97,type,
subsetE2: $o ).
thf(func_def_98,type,
notsubsetI: $o ).
thf(func_def_99,type,
notequalI1: $o ).
thf(func_def_100,type,
notequalI2: $o ).
thf(func_def_101,type,
subsetRefl: $o ).
thf(func_def_102,type,
subsetTrans: $o ).
thf(func_def_103,type,
setadjoinSub: $o ).
thf(func_def_104,type,
setadjoinSub2: $o ).
thf(func_def_105,type,
subset2powerset: $o ).
thf(func_def_106,type,
setextsub: $o ).
thf(func_def_107,type,
subsetemptysetimpeq: $o ).
thf(func_def_108,type,
powersetI1: $o ).
thf(func_def_109,type,
powersetE1: $o ).
thf(func_def_110,type,
inPowerset: $o ).
thf(func_def_111,type,
powersetsubset: $o ).
thf(func_def_112,type,
sepInPowerset: $o ).
thf(func_def_113,type,
sepSubset: $o ).
thf(func_def_114,type,
binunion: $i > $i > $i ).
thf(func_def_115,type,
binunionIL: $o ).
thf(func_def_116,type,
upairset2IR: $o ).
thf(func_def_117,type,
binunionIR: $o ).
thf(func_def_118,type,
binunionEcases: $o ).
thf(func_def_119,type,
binunionE: $o ).
thf(func_def_120,type,
binunionLsub: $o ).
thf(func_def_121,type,
binunionRsub: $o ).
thf(func_def_122,type,
binintersect: $i > $i > $i ).
thf(func_def_123,type,
binintersectI: $o ).
thf(func_def_124,type,
binintersectSubset5: $o ).
thf(func_def_125,type,
binintersectEL: $o ).
thf(func_def_126,type,
binintersectLsub: $o ).
thf(func_def_127,type,
binintersectSubset2: $o ).
thf(func_def_128,type,
binintersectSubset3: $o ).
thf(func_def_129,type,
binintersectER: $o ).
thf(func_def_130,type,
disjointsetsI1: $o ).
thf(func_def_131,type,
binintersectRsub: $o ).
thf(func_def_132,type,
binintersectSubset4: $o ).
thf(func_def_133,type,
binintersectSubset1: $o ).
thf(func_def_134,type,
bs114d: $o ).
thf(func_def_135,type,
regular: $i > $o ).
thf(func_def_136,type,
setminus: $i > $i > $i ).
thf(func_def_137,type,
setminusI: $o ).
thf(func_def_138,type,
setminusEL: $o ).
thf(func_def_139,type,
setminusER: $o ).
thf(func_def_140,type,
setminusSubset2: $o ).
thf(func_def_141,type,
setminusERneg: $o ).
thf(func_def_142,type,
setminusELneg: $o ).
thf(func_def_143,type,
setminusILneg: $o ).
thf(func_def_144,type,
setminusIRneg: $o ).
thf(func_def_145,type,
setminusLsub: $o ).
thf(func_def_146,type,
setminusSubset1: $o ).
thf(func_def_147,type,
symdiff: $i > $i > $i ).
thf(func_def_148,type,
symdiffE: $o ).
thf(func_def_149,type,
symdiffI1: $o ).
thf(func_def_150,type,
symdiffI2: $o ).
thf(func_def_151,type,
symdiffIneg1: $o ).
thf(func_def_152,type,
symdiffIneg2: $o ).
thf(func_def_153,type,
iskpair: $i > $o ).
thf(func_def_154,type,
secondinupair: $o ).
thf(func_def_155,type,
setukpairIL: $o ).
thf(func_def_156,type,
setukpairIR: $o ).
thf(func_def_157,type,
kpairiskpair: $o ).
thf(func_def_158,type,
kpair: $i > $i > $i ).
thf(func_def_159,type,
kpairp: $o ).
thf(func_def_160,type,
cartprod: $i > $i > $i ).
thf(func_def_161,type,
singletonsubset: $o ).
thf(func_def_162,type,
singletoninpowerset: $o ).
thf(func_def_163,type,
singletoninpowunion: $o ).
thf(func_def_164,type,
upairset2E: $o ).
thf(func_def_165,type,
upairsubunion: $o ).
thf(func_def_166,type,
upairinpowunion: $o ).
thf(func_def_167,type,
ubforcartprodlem1: $o ).
thf(func_def_168,type,
ubforcartprodlem2: $o ).
thf(func_def_169,type,
ubforcartprodlem3: $o ).
thf(func_def_170,type,
cartprodpairin: $o ).
thf(func_def_171,type,
cartprodmempair1: $o ).
thf(func_def_172,type,
cartprodmempair: $o ).
thf(func_def_173,type,
setunionE2: $o ).
thf(func_def_174,type,
setunionsingleton1: $o ).
thf(func_def_175,type,
setunionsingleton2: $o ).
thf(func_def_176,type,
setunionsingleton: $o ).
thf(func_def_177,type,
singleton: $i > $o ).
thf(func_def_178,type,
singletonprop: $o ).
thf(func_def_179,type,
ex1: $i > ( $i > $o ) > $o ).
thf(func_def_180,type,
ex1E1: $o ).
thf(func_def_181,type,
ex1I: $o ).
thf(func_def_182,type,
ex1I2: $o ).
thf(func_def_183,type,
singletonsuniq: $o ).
thf(func_def_184,type,
atmost1p: $i > $o ).
thf(func_def_185,type,
atleast2p: $i > $o ).
thf(func_def_186,type,
atmost2p: $i > $o ).
thf(func_def_187,type,
upairsetp: $i > $o ).
thf(func_def_188,type,
setukpairinjL1: $o ).
thf(func_def_189,type,
kfstsingleton: $o ).
thf(func_def_190,type,
theprop: $o ).
thf(func_def_191,type,
kfst: $i > $i ).
thf(func_def_192,type,
kfstpairEq: $o ).
thf(func_def_193,type,
cartprodfstin: $o ).
thf(func_def_194,type,
setukpairinjL2: $o ).
thf(func_def_195,type,
setukpairinjL: $o ).
thf(func_def_196,type,
setukpairinjR11: $o ).
thf(func_def_197,type,
setukpairinjR12: $o ).
thf(func_def_198,type,
setukpairinjR1: $o ).
thf(func_def_199,type,
upairequniteq: $o ).
thf(func_def_200,type,
setukpairinjR2: $o ).
thf(func_def_201,type,
setukpairinjR: $o ).
thf(func_def_202,type,
ksndsingleton: $o ).
thf(func_def_203,type,
ksnd: $i > $i ).
thf(func_def_204,type,
ksndpairEq: $o ).
thf(func_def_205,type,
kpairsurjEq: $o ).
thf(func_def_206,type,
cartprodsndin: $o ).
thf(func_def_207,type,
cartprodpairmemEL: $o ).
thf(func_def_208,type,
cartprodpairmemER: $o ).
thf(func_def_209,type,
cartprodmempaircEq: $o ).
thf(func_def_210,type,
cartprodfstpairEq: $o ).
thf(func_def_211,type,
cartprodsndpairEq: $o ).
thf(func_def_212,type,
cartprodpairsurjEq: $o ).
thf(func_def_213,type,
breln: $i > $i > $i > $o ).
thf(func_def_214,type,
dpsetconstr: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_215,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_216,type,
vAND: $o > $o > $o ).
thf(func_def_217,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_218,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_219,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_220,type,
vIMP: $o > $o > $o ).
thf(func_def_221,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_222,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_223,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_224,type,
vIFF: $o > $o > $o ).
thf(func_def_225,type,
vNOT: $o > $o ).
thf(func_def_226,type,
vOR: $o > $o > $o ).
thf(func_def_227,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_228,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_231,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_234,type,
sK2: $i > $i > $o ).
thf(func_def_237,type,
sK5: $i > $i ).
thf(func_def_238,type,
sK6: $i > $i ).
thf(func_def_239,type,
sK7: ( $i > $o ) > $i > $i ).
thf(func_def_240,type,
sK8: ( $i > $o ) > $i > $i ).
thf(func_def_241,type,
sK9: ( $i > $o ) > $i > $i ).
thf(func_def_242,type,
sK10: $i > $i > ( $i > $o ) > $i ).
thf(func_def_243,type,
sK11: $i > ( $i > $o ) > $i ).
thf(func_def_244,type,
sK12: ( $i > $o ) > $i > $i ).
thf(func_def_245,type,
sK13: ( $i > $o ) > $i > $i ).
thf(func_def_246,type,
sK14: ( $i > $o ) > $i > $i ).
thf(func_def_247,type,
sK15: ( $i > $o ) > $i > $i ).
thf(func_def_248,type,
sK16: $i > $i > $i ).
thf(func_def_249,type,
sK17: $i > $i > $i > $i ).
thf(func_def_250,type,
sK18: $i > $i > $i > $i ).
thf(func_def_251,type,
sK19: $i > $i > $i ).
thf(func_def_252,type,
sK20: $i > $i > $i ).
thf(func_def_253,type,
sK21: $i > $i > $i ).
thf(func_def_254,type,
sK22: ( $i > $o ) > ( $i > $o ) > $i > $i > $i ).
thf(func_def_255,type,
sK23: $i > $i > ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_256,type,
sK24: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_257,type,
sK25: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_258,type,
sK26: ( $i > $o ) > $i > $i ).
thf(func_def_259,type,
sK27: ( $i > $o ) > $i > $i ).
thf(func_def_260,type,
sK28: ( $i > $o ) > $i > $i ).
thf(func_def_261,type,
sK29: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_262,type,
sK30: ( $i > $o ) > ( $i > $o ) > $i ).
thf(func_def_263,type,
sK31: ( $i > $o ) > $i ).
thf(func_def_264,type,
sK32: ( $i > $o ) > $i > $i ).
thf(func_def_265,type,
sK33: ( $i > $o ) > $i ).
thf(func_def_266,type,
sK34: ( $i > $o ) > $i > $i ).
thf(func_def_267,type,
sK35: ( $i > $o ) > $i > $i ).
thf(func_def_268,type,
sK36: ( $i > $o ) > $i ).
thf(func_def_269,type,
sK37: ( $i > $o ) > $i > $i ).
thf(func_def_270,type,
sK38: ( $i > $o ) > $i ).
thf(func_def_271,type,
sK39: ( $i > $o ) > $i > $i ).
thf(func_def_272,type,
sK40: ( $i > $o ) > $i > $i ).
thf(func_def_273,type,
sK41: ( $i > $o ) > $i ).
thf(func_def_274,type,
sK42: ( $i > $o ) > $i > $i ).
thf(func_def_275,type,
sK43: ( $i > $o ) > $i ).
thf(func_def_276,type,
sK44: ( $i > $o ) > $i > $i ).
thf(func_def_277,type,
sK45: ( $i > $o ) > $i > $i ).
thf(func_def_278,type,
sK46: ( $i > $o ) > $i > $i ).
thf(func_def_279,type,
sK47: ( $i > $o ) > $i ).
thf(func_def_280,type,
sK48: ( $i > $o ) > $i > $i ).
thf(func_def_281,type,
sK49: ( $i > $o ) > $i ).
thf(func_def_282,type,
sK50: ( $i > $o ) > $i ).
thf(func_def_283,type,
sK51: ( $i > $o ) > $i ).
thf(func_def_284,type,
sK52: ( $i > $o ) > $i ).
thf(func_def_285,type,
sK53: ( $i > $o ) > $i > $i ).
thf(func_def_286,type,
sK54: ( $i > $o ) > $i > $i ).
thf(func_def_287,type,
sK55: ( $i > $o ) > $i > $i ).
thf(func_def_288,type,
sK56: ( $i > $o ) > $i > $i ).
thf(func_def_289,type,
sK57: ( $i > $o ) > $i > $i ).
thf(func_def_290,type,
sK58: ( $i > $o ) > $i > $i ).
thf(func_def_291,type,
sK59: ( $i > $o ) > $i > $i ).
thf(func_def_292,type,
sK60: $i > $i ).
thf(func_def_293,type,
sK61: ( $i > $o ) > $i ).
thf(func_def_294,type,
sK62: ( $i > $o ) > $i > $i ).
thf(func_def_295,type,
sK63: $i > $o > $i > $i ).
thf(func_def_296,type,
sK64: $i > $i > $i ).
thf(func_def_297,type,
sK65: $i > $i ).
thf(func_def_298,type,
sK66: $i > $i ).
thf(func_def_299,type,
sK67: $i > $i ).
thf(func_def_300,type,
sK68: $i > $i > $i ).
thf(func_def_301,type,
sK69: $i > $i > $i ).
thf(func_def_302,type,
sK70: ( $i > $o ) > $i ).
thf(func_def_303,type,
sK71: ( $i > $o ) > $i > $i ).
thf(func_def_304,type,
sK72: ( $i > $o ) > $i ).
thf(func_def_305,type,
sK73: ( $i > $o ) > $i > $i ).
thf(func_def_306,type,
sK74: ( $i > $o ) > $i > $i ).
thf(func_def_307,type,
sK75: $i > $i ).
thf(func_def_308,type,
sK76: $i > $i > $i > $i ).
thf(func_def_309,type,
sK77: $i > $i > $i ).
thf(func_def_310,type,
sK78: $i > $i > $i ).
thf(func_def_311,type,
sK79: $i > $i > $i ).
thf(func_def_312,type,
sK80: $i > $i ).
thf(func_def_313,type,
sK81: $i > ( $i > $i > $o ) > $i ).
thf(func_def_314,type,
sK82: $i > ( $i > $i > $o ) > $i ).
thf(func_def_315,type,
sK83: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_316,type,
sK84: $i > ( $i > $i > $o ) > $i > $i ).
thf(func_def_317,type,
sK85: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_318,type,
sK86: $i > $i > ( $i > $i > $o ) > $i ).
thf(func_def_319,type,
sK87: $i > $i ).
thf(func_def_320,type,
sK88: $i > $i > $i ).
thf(func_def_321,type,
sK89: $i > $i > $i ).
thf(func_def_322,type,
sK90: $i > $i > $i ).
thf(f14,axiom,
( dsetconstrI
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dsetconstrI) ).
thf(f149,axiom,
( cartprodpairin
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairin) ).
thf(f187,axiom,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 )
& ( in @ X5 @ X1 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstr) ).
thf(f188,conjecture,
( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( X2 @ X3 @ X4 )
=> ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dpsetconstrI) ).
thf(f189,negated_conjecture,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( X2 @ X3 @ X4 )
=> ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f188]) ).
thf(f214,plain,
( dsetconstrI
= ( ! [X0: $i,X1: $i > $o,X2: $i] :
( ( in @ X2 @ X0 )
=> ( ( X1 @ X2 )
=> ( in @ X2
@ ( dsetconstr @ X0
@ ^ [X3: $i] : ( X1 @ X3 ) ) ) ) ) ) ),
inference(rectify,[],[f14]) ).
thf(f215,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f214]) ).
thf(f475,plain,
( cartprodpairin
= ( ! [X0: $i,X1: $i,X2: $i] :
( ( in @ X2 @ X0 )
=> ! [X3: $i] :
( ( in @ X3 @ X1 )
=> ( in @ ( kpair @ X2 @ X3 ) @ ( cartprod @ X0 @ X1 ) ) ) ) ) ),
inference(rectify,[],[f149]) ).
thf(f476,plain,
( cartprodpairin
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y3 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f475]) ).
thf(f538,plain,
( dpsetconstr
= ( ^ [X0: $i,X1: $i,X2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ X0 @ X1 )
@ ^ [X3: $i] :
? [X4: $i] :
( ? [X5: $i] :
( ( X3
= ( kpair @ X4 @ X5 ) )
& ( X2 @ X4 @ X5 )
& ( in @ X5 @ X1 ) )
& ( in @ X4 @ X0 ) ) ) ) ),
inference(rectify,[],[f187]) ).
thf(f539,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f538]) ).
thf(f540,plain,
~ ( setextAx
=> ( emptysetAx
=> ( setadjoinAx
=> ( powersetAx
=> ( setunionAx
=> ( omega0Ax
=> ( omegaSAx
=> ( omegaIndAx
=> ( replAx
=> ( foundationAx
=> ( wellorderingAx
=> ( descrp
=> ( dsetconstrI
=> ( dsetconstrEL
=> ( dsetconstrER
=> ( exuE1
=> ( prop2setE
=> ( emptysetE
=> ( emptysetimpfalse
=> ( notinemptyset
=> ( exuE3e
=> ( setext
=> ( emptyI
=> ( noeltsimpempty
=> ( setbeta
=> ( nonemptyE1
=> ( nonemptyI
=> ( nonemptyI1
=> ( setadjoinIL
=> ( emptyinunitempty
=> ( setadjoinIR
=> ( setadjoinE
=> ( setadjoinOr
=> ( setoftrueEq
=> ( powersetI
=> ( emptyinPowerset
=> ( emptyInPowerset
=> ( powersetE
=> ( setunionI
=> ( setunionE
=> ( subPowSU
=> ( exuE2
=> ( nonemptyImpWitness
=> ( uniqinunit
=> ( notinsingleton
=> ( eqinunit
=> ( singletonsswitch
=> ( upairsetE
=> ( upairsetIL
=> ( upairsetIR
=> ( emptyE1
=> ( vacuousDall
=> ( quantDeMorgan1
=> ( quantDeMorgan2
=> ( quantDeMorgan3
=> ( quantDeMorgan4
=> ( prop2setI
=> ( prop2set2propI
=> ( notdexE
=> ( notdallE
=> ( exuI1
=> ( exuI3
=> ( exuI2
=> ( inCongP
=> ( in__Cong
=> ( exuE3u
=> ( exu__Cong
=> ( emptyset__Cong
=> ( setadjoin__Cong
=> ( powerset__Cong
=> ( setunion__Cong
=> ( omega__Cong
=> ( exuEu
=> ( descr__Cong
=> ( dsetconstr__Cong
=> ( subsetI1
=> ( eqimpsubset2
=> ( eqimpsubset1
=> ( subsetI2
=> ( emptysetsubset
=> ( subsetE
=> ( subsetE2
=> ( notsubsetI
=> ( notequalI1
=> ( notequalI2
=> ( subsetRefl
=> ( subsetTrans
=> ( setadjoinSub
=> ( setadjoinSub2
=> ( subset2powerset
=> ( setextsub
=> ( subsetemptysetimpeq
=> ( powersetI1
=> ( powersetE1
=> ( inPowerset
=> ( powersetsubset
=> ( sepInPowerset
=> ( sepSubset
=> ( binunionIL
=> ( upairset2IR
=> ( binunionIR
=> ( binunionEcases
=> ( binunionE
=> ( binunionLsub
=> ( binunionRsub
=> ( binintersectI
=> ( binintersectSubset5
=> ( binintersectEL
=> ( binintersectLsub
=> ( binintersectSubset2
=> ( binintersectSubset3
=> ( binintersectER
=> ( disjointsetsI1
=> ( binintersectRsub
=> ( binintersectSubset4
=> ( binintersectSubset1
=> ( bs114d
=> ( setminusI
=> ( setminusEL
=> ( setminusER
=> ( setminusSubset2
=> ( setminusERneg
=> ( setminusELneg
=> ( setminusILneg
=> ( setminusIRneg
=> ( setminusLsub
=> ( setminusSubset1
=> ( symdiffE
=> ( symdiffI1
=> ( symdiffI2
=> ( symdiffIneg1
=> ( symdiffIneg2
=> ( secondinupair
=> ( setukpairIL
=> ( setukpairIR
=> ( kpairiskpair
=> ( kpairp
=> ( singletonsubset
=> ( singletoninpowerset
=> ( singletoninpowunion
=> ( upairset2E
=> ( upairsubunion
=> ( upairinpowunion
=> ( ubforcartprodlem1
=> ( ubforcartprodlem2
=> ( ubforcartprodlem3
=> ( cartprodpairin
=> ( cartprodmempair1
=> ( cartprodmempair
=> ( setunionE2
=> ( setunionsingleton1
=> ( setunionsingleton2
=> ( setunionsingleton
=> ( singletonprop
=> ( ex1E1
=> ( ex1I
=> ( ex1I2
=> ( singletonsuniq
=> ( setukpairinjL1
=> ( kfstsingleton
=> ( theprop
=> ( kfstpairEq
=> ( cartprodfstin
=> ( setukpairinjL2
=> ( setukpairinjL
=> ( setukpairinjR11
=> ( setukpairinjR12
=> ( setukpairinjR1
=> ( upairequniteq
=> ( setukpairinjR2
=> ( setukpairinjR
=> ( ksndsingleton
=> ( ksndpairEq
=> ( kpairsurjEq
=> ( cartprodsndin
=> ( cartprodpairmemEL
=> ( cartprodpairmemER
=> ( cartprodmempaircEq
=> ( cartprodfstpairEq
=> ( cartprodsndpairEq
=> ( cartprodpairsurjEq
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ( in @ X3 @ X0 )
=> ! [X4: $i] :
( ( in @ X4 @ X1 )
=> ( ( X2 @ X3 @ X4 )
=> ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [X5: $i,X6: $i] : ( X2 @ X5 @ X6 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f189]) ).
thf(f541,plain,
~ ( ( setextAx = $true )
=> ( ( emptysetAx = $true )
=> ( ( setadjoinAx = $true )
=> ( ( powersetAx = $true )
=> ( ( setunionAx = $true )
=> ( ( omega0Ax = $true )
=> ( ( omegaSAx = $true )
=> ( ( omegaIndAx = $true )
=> ( ( replAx = $true )
=> ( ( foundationAx = $true )
=> ( ( wellorderingAx = $true )
=> ( ( descrp = $true )
=> ( ( dsetconstrI = $true )
=> ( ( dsetconstrEL = $true )
=> ( ( dsetconstrER = $true )
=> ( ( exuE1 = $true )
=> ( ( prop2setE = $true )
=> ( ( emptysetE = $true )
=> ( ( emptysetimpfalse = $true )
=> ( ( notinemptyset = $true )
=> ( ( exuE3e = $true )
=> ( ( setext = $true )
=> ( ( emptyI = $true )
=> ( ( noeltsimpempty = $true )
=> ( ( setbeta = $true )
=> ( ( nonemptyE1 = $true )
=> ( ( nonemptyI = $true )
=> ( ( nonemptyI1 = $true )
=> ( ( setadjoinIL = $true )
=> ( ( emptyinunitempty = $true )
=> ( ( setadjoinIR = $true )
=> ( ( setadjoinE = $true )
=> ( ( setadjoinOr = $true )
=> ( ( setoftrueEq = $true )
=> ( ( powersetI = $true )
=> ( ( emptyinPowerset = $true )
=> ( ( emptyInPowerset = $true )
=> ( ( powersetE = $true )
=> ( ( setunionI = $true )
=> ( ( setunionE = $true )
=> ( ( subPowSU = $true )
=> ( ( exuE2 = $true )
=> ( ( nonemptyImpWitness = $true )
=> ( ( uniqinunit = $true )
=> ( ( notinsingleton = $true )
=> ( ( eqinunit = $true )
=> ( ( singletonsswitch = $true )
=> ( ( upairsetE = $true )
=> ( ( upairsetIL = $true )
=> ( ( upairsetIR = $true )
=> ( ( emptyE1 = $true )
=> ( ( vacuousDall = $true )
=> ( ( quantDeMorgan1 = $true )
=> ( ( quantDeMorgan2 = $true )
=> ( ( quantDeMorgan3 = $true )
=> ( ( quantDeMorgan4 = $true )
=> ( ( prop2setI = $true )
=> ( ( prop2set2propI = $true )
=> ( ( notdexE = $true )
=> ( ( notdallE = $true )
=> ( ( exuI1 = $true )
=> ( ( exuI3 = $true )
=> ( ( exuI2 = $true )
=> ( ( inCongP = $true )
=> ( ( in__Cong = $true )
=> ( ( exuE3u = $true )
=> ( ( exu__Cong = $true )
=> ( ( emptyset__Cong = $true )
=> ( ( setadjoin__Cong = $true )
=> ( ( powerset__Cong = $true )
=> ( ( setunion__Cong = $true )
=> ( ( omega__Cong = $true )
=> ( ( exuEu = $true )
=> ( ( descr__Cong = $true )
=> ( ( dsetconstr__Cong = $true )
=> ( ( subsetI1 = $true )
=> ( ( eqimpsubset2 = $true )
=> ( ( eqimpsubset1 = $true )
=> ( ( subsetI2 = $true )
=> ( ( emptysetsubset = $true )
=> ( ( subsetE = $true )
=> ( ( subsetE2 = $true )
=> ( ( notsubsetI = $true )
=> ( ( notequalI1 = $true )
=> ( ( notequalI2 = $true )
=> ( ( subsetRefl = $true )
=> ( ( subsetTrans = $true )
=> ( ( setadjoinSub = $true )
=> ( ( setadjoinSub2 = $true )
=> ( ( subset2powerset = $true )
=> ( ( setextsub = $true )
=> ( ( subsetemptysetimpeq = $true )
=> ( ( powersetI1 = $true )
=> ( ( powersetE1 = $true )
=> ( ( inPowerset = $true )
=> ( ( powersetsubset = $true )
=> ( ( sepInPowerset = $true )
=> ( ( sepSubset = $true )
=> ( ( binunionIL = $true )
=> ( ( upairset2IR = $true )
=> ( ( binunionIR = $true )
=> ( ( binunionEcases = $true )
=> ( ( binunionE = $true )
=> ( ( binunionLsub = $true )
=> ( ( binunionRsub = $true )
=> ( ( binintersectI = $true )
=> ( ( binintersectSubset5 = $true )
=> ( ( binintersectEL = $true )
=> ( ( binintersectLsub = $true )
=> ( ( binintersectSubset2 = $true )
=> ( ( binintersectSubset3 = $true )
=> ( ( binintersectER = $true )
=> ( ( disjointsetsI1 = $true )
=> ( ( binintersectRsub = $true )
=> ( ( binintersectSubset4 = $true )
=> ( ( binintersectSubset1 = $true )
=> ( ( bs114d = $true )
=> ( ( setminusI = $true )
=> ( ( setminusEL = $true )
=> ( ( setminusER = $true )
=> ( ( setminusSubset2 = $true )
=> ( ( setminusERneg = $true )
=> ( ( setminusELneg = $true )
=> ( ( setminusILneg = $true )
=> ( ( setminusIRneg = $true )
=> ( ( setminusLsub = $true )
=> ( ( setminusSubset1 = $true )
=> ( ( symdiffE = $true )
=> ( ( symdiffI1 = $true )
=> ( ( symdiffI2 = $true )
=> ( ( symdiffIneg1 = $true )
=> ( ( symdiffIneg2 = $true )
=> ( ( secondinupair = $true )
=> ( ( setukpairIL = $true )
=> ( ( setukpairIR = $true )
=> ( ( kpairiskpair = $true )
=> ( ( kpairp = $true )
=> ( ( singletonsubset = $true )
=> ( ( singletoninpowerset = $true )
=> ( ( singletoninpowunion = $true )
=> ( ( upairset2E = $true )
=> ( ( upairsubunion = $true )
=> ( ( upairinpowunion = $true )
=> ( ( ubforcartprodlem1 = $true )
=> ( ( ubforcartprodlem2 = $true )
=> ( ( ubforcartprodlem3 = $true )
=> ( ( cartprodpairin = $true )
=> ( ( cartprodmempair1 = $true )
=> ( ( cartprodmempair = $true )
=> ( ( setunionE2 = $true )
=> ( ( setunionsingleton1 = $true )
=> ( ( setunionsingleton2 = $true )
=> ( ( setunionsingleton = $true )
=> ( ( singletonprop = $true )
=> ( ( ex1E1 = $true )
=> ( ( ex1I = $true )
=> ( ( ex1I2 = $true )
=> ( ( singletonsuniq = $true )
=> ( ( setukpairinjL1 = $true )
=> ( ( kfstsingleton = $true )
=> ( ( theprop = $true )
=> ( ( kfstpairEq = $true )
=> ( ( cartprodfstin = $true )
=> ( ( setukpairinjL2 = $true )
=> ( ( setukpairinjL = $true )
=> ( ( setukpairinjR11 = $true )
=> ( ( setukpairinjR12 = $true )
=> ( ( setukpairinjR1 = $true )
=> ( ( upairequniteq = $true )
=> ( ( setukpairinjR2 = $true )
=> ( ( setukpairinjR = $true )
=> ( ( ksndsingleton = $true )
=> ( ( ksndpairEq = $true )
=> ( ( kpairsurjEq = $true )
=> ( ( cartprodsndin = $true )
=> ( ( cartprodpairmemEL = $true )
=> ( ( cartprodpairmemER = $true )
=> ( ( cartprodmempaircEq = $true )
=> ( ( cartprodfstpairEq = $true )
=> ( ( cartprodsndpairEq = $true )
=> ( ( cartprodpairsurjEq = $true )
=> ! [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ( ( in @ X3 @ X0 )
= $true )
=> ! [X4: $i] :
( ( ( in @ X4 @ X1 )
= $true )
=> ( ( ( X2 @ X3 @ X4 )
= $true )
=> ( $true
= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f540]) ).
thf(f542,plain,
( ? [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ? [X4: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
& ( ( X2 @ X3 @ X4 )
= $true )
& ( ( in @ X4 @ X1 )
= $true ) )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(ennf_transformation,[],[f541]) ).
thf(f543,plain,
( ? [X0: $i,X1: $i,X2: $i > $i > $o,X3: $i] :
( ? [X4: $i] :
( ( $true
!= ( in @ ( kpair @ X3 @ X4 )
@ ( dpsetconstr @ X0 @ X1
@ ^ [Y0: $i,Y1: $i] : ( X2 @ Y0 @ Y1 ) ) ) )
& ( ( X2 @ X3 @ X4 )
= $true )
& ( ( in @ X4 @ X1 )
= $true ) )
& ( ( in @ X3 @ X0 )
= $true ) )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(flattening,[],[f542]) ).
thf(f544,plain,
( ( $true
!= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dpsetconstr @ sK0 @ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) )
& ( $true
= ( sK2 @ sK3 @ sK4 ) )
& ( $true
= ( in @ sK4 @ sK1 ) )
& ( $true
= ( in @ sK3 @ sK0 ) )
& ( cartprodpairsurjEq = $true )
& ( cartprodsndpairEq = $true )
& ( cartprodfstpairEq = $true )
& ( cartprodmempaircEq = $true )
& ( cartprodpairmemER = $true )
& ( cartprodpairmemEL = $true )
& ( cartprodsndin = $true )
& ( kpairsurjEq = $true )
& ( ksndpairEq = $true )
& ( ksndsingleton = $true )
& ( setukpairinjR = $true )
& ( setukpairinjR2 = $true )
& ( upairequniteq = $true )
& ( setukpairinjR1 = $true )
& ( setukpairinjR12 = $true )
& ( setukpairinjR11 = $true )
& ( setukpairinjL = $true )
& ( setukpairinjL2 = $true )
& ( cartprodfstin = $true )
& ( kfstpairEq = $true )
& ( theprop = $true )
& ( kfstsingleton = $true )
& ( setukpairinjL1 = $true )
& ( singletonsuniq = $true )
& ( ex1I2 = $true )
& ( ex1I = $true )
& ( ex1E1 = $true )
& ( singletonprop = $true )
& ( setunionsingleton = $true )
& ( setunionsingleton2 = $true )
& ( setunionsingleton1 = $true )
& ( setunionE2 = $true )
& ( cartprodmempair = $true )
& ( cartprodmempair1 = $true )
& ( cartprodpairin = $true )
& ( ubforcartprodlem3 = $true )
& ( ubforcartprodlem2 = $true )
& ( ubforcartprodlem1 = $true )
& ( upairinpowunion = $true )
& ( upairsubunion = $true )
& ( upairset2E = $true )
& ( singletoninpowunion = $true )
& ( singletoninpowerset = $true )
& ( singletonsubset = $true )
& ( kpairp = $true )
& ( kpairiskpair = $true )
& ( setukpairIR = $true )
& ( setukpairIL = $true )
& ( secondinupair = $true )
& ( symdiffIneg2 = $true )
& ( symdiffIneg1 = $true )
& ( symdiffI2 = $true )
& ( symdiffI1 = $true )
& ( symdiffE = $true )
& ( setminusSubset1 = $true )
& ( setminusLsub = $true )
& ( setminusIRneg = $true )
& ( setminusILneg = $true )
& ( setminusELneg = $true )
& ( setminusERneg = $true )
& ( setminusSubset2 = $true )
& ( setminusER = $true )
& ( setminusEL = $true )
& ( setminusI = $true )
& ( bs114d = $true )
& ( binintersectSubset1 = $true )
& ( binintersectSubset4 = $true )
& ( binintersectRsub = $true )
& ( disjointsetsI1 = $true )
& ( binintersectER = $true )
& ( binintersectSubset3 = $true )
& ( binintersectSubset2 = $true )
& ( binintersectLsub = $true )
& ( binintersectEL = $true )
& ( binintersectSubset5 = $true )
& ( binintersectI = $true )
& ( binunionRsub = $true )
& ( binunionLsub = $true )
& ( binunionE = $true )
& ( binunionEcases = $true )
& ( binunionIR = $true )
& ( upairset2IR = $true )
& ( binunionIL = $true )
& ( sepSubset = $true )
& ( sepInPowerset = $true )
& ( powersetsubset = $true )
& ( inPowerset = $true )
& ( powersetE1 = $true )
& ( powersetI1 = $true )
& ( subsetemptysetimpeq = $true )
& ( setextsub = $true )
& ( subset2powerset = $true )
& ( setadjoinSub2 = $true )
& ( setadjoinSub = $true )
& ( subsetTrans = $true )
& ( subsetRefl = $true )
& ( notequalI2 = $true )
& ( notequalI1 = $true )
& ( notsubsetI = $true )
& ( subsetE2 = $true )
& ( subsetE = $true )
& ( emptysetsubset = $true )
& ( subsetI2 = $true )
& ( eqimpsubset1 = $true )
& ( eqimpsubset2 = $true )
& ( subsetI1 = $true )
& ( dsetconstr__Cong = $true )
& ( descr__Cong = $true )
& ( exuEu = $true )
& ( omega__Cong = $true )
& ( setunion__Cong = $true )
& ( powerset__Cong = $true )
& ( setadjoin__Cong = $true )
& ( emptyset__Cong = $true )
& ( exu__Cong = $true )
& ( exuE3u = $true )
& ( in__Cong = $true )
& ( inCongP = $true )
& ( exuI2 = $true )
& ( exuI3 = $true )
& ( exuI1 = $true )
& ( notdallE = $true )
& ( notdexE = $true )
& ( prop2set2propI = $true )
& ( prop2setI = $true )
& ( quantDeMorgan4 = $true )
& ( quantDeMorgan3 = $true )
& ( quantDeMorgan2 = $true )
& ( quantDeMorgan1 = $true )
& ( vacuousDall = $true )
& ( emptyE1 = $true )
& ( upairsetIR = $true )
& ( upairsetIL = $true )
& ( upairsetE = $true )
& ( singletonsswitch = $true )
& ( eqinunit = $true )
& ( notinsingleton = $true )
& ( uniqinunit = $true )
& ( nonemptyImpWitness = $true )
& ( exuE2 = $true )
& ( subPowSU = $true )
& ( setunionE = $true )
& ( setunionI = $true )
& ( powersetE = $true )
& ( emptyInPowerset = $true )
& ( emptyinPowerset = $true )
& ( powersetI = $true )
& ( setoftrueEq = $true )
& ( setadjoinOr = $true )
& ( setadjoinE = $true )
& ( setadjoinIR = $true )
& ( emptyinunitempty = $true )
& ( setadjoinIL = $true )
& ( nonemptyI1 = $true )
& ( nonemptyI = $true )
& ( nonemptyE1 = $true )
& ( setbeta = $true )
& ( noeltsimpempty = $true )
& ( emptyI = $true )
& ( setext = $true )
& ( exuE3e = $true )
& ( notinemptyset = $true )
& ( emptysetimpfalse = $true )
& ( emptysetE = $true )
& ( prop2setE = $true )
& ( exuE1 = $true )
& ( dsetconstrER = $true )
& ( dsetconstrEL = $true )
& ( dsetconstrI = $true )
& ( descrp = $true )
& ( wellorderingAx = $true )
& ( foundationAx = $true )
& ( replAx = $true )
& ( omegaIndAx = $true )
& ( omegaSAx = $true )
& ( omega0Ax = $true )
& ( setunionAx = $true )
& ( powersetAx = $true )
& ( setadjoinAx = $true )
& ( emptysetAx = $true )
& ( setextAx = $true ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f543]) ).
thf(f558,plain,
( dsetconstrI
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f215]) ).
thf(f693,plain,
( cartprodpairin
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y3 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f476]) ).
thf(f731,plain,
( dpsetconstr
= ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f539]) ).
thf(f744,plain,
dsetconstrI = $true,
inference(cnf_transformation,[],[f544]) ).
thf(f878,plain,
cartprodpairin = $true,
inference(cnf_transformation,[],[f544]) ).
thf(f913,plain,
( $true
= ( in @ sK3 @ sK0 ) ),
inference(cnf_transformation,[],[f544]) ).
thf(f914,plain,
( $true
= ( in @ sK4 @ sK1 ) ),
inference(cnf_transformation,[],[f544]) ).
thf(f915,plain,
( $true
= ( sK2 @ sK3 @ sK4 ) ),
inference(cnf_transformation,[],[f544]) ).
thf(f916,plain,
( $true
!= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dpsetconstr @ sK0 @ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) ),
inference(cnf_transformation,[],[f544]) ).
thf(f932,plain,
( ( !! @ $i
@ ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f558,f744]) ).
thf(f1066,plain,
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y3 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ) ) ) ),
inference(definition_unfolding,[],[f693,f878]) ).
thf(f1101,plain,
( $true
!= ( in @ ( kpair @ sK3 @ sK4 )
@ ( ^ [Y0: $i,Y1: $i,Y2: $i > $i > $o] :
( dsetconstr @ ( cartprod @ Y0 @ Y1 )
@ ^ [Y3: $i] :
( ?? @ $i
@ ^ [Y4: $i] :
( ( in @ Y4 @ Y0 )
& ( ?? @ $i
@ ^ [Y5: $i] :
( ( in @ Y5 @ Y1 )
& ( Y2 @ Y4 @ Y5 )
& ( ( kpair @ Y4 @ Y5 )
= Y3 ) ) ) ) ) )
@ sK0
@ sK1
@ ^ [Y0: $i,Y1: $i] : ( sK2 @ Y0 @ Y1 ) ) ) ),
inference(definition_unfolding,[],[f916,f731]) ).
thf(f1102,plain,
( $true
!= ( in @ ( kpair @ sK3 @ sK4 )
@ ( dsetconstr @ ( cartprod @ sK0 @ sK1 )
@ ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK0 )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ sK1 )
& ( sK2 @ Y1 @ Y2 )
& ( ( kpair @ Y1 @ Y2 )
= Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1101]) ).
thf(f1459,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( !! @ $i
@ ^ [Y3: $i] :
( ( in @ Y3 @ Y1 )
=> ( in @ ( kpair @ Y0 @ Y3 ) @ ( cartprod @ Y2 @ Y1 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f1066]) ).
thf(f1460,plain,
! [X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( kpair @ X1 @ Y2 ) @ ( cartprod @ Y1 @ Y0 ) ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1459]) ).
thf(f1461,plain,
! [X2: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ Y0 )
=> ( in @ ( kpair @ X1 @ Y2 ) @ ( cartprod @ Y1 @ Y0 ) ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f1460]) ).
thf(f1462,plain,
! [X2: $i,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ ( kpair @ X1 @ Y1 ) @ ( cartprod @ Y0 @ X2 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1461]) ).
thf(f1463,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( !! @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ X2 )
=> ( in @ ( kpair @ X1 @ Y1 ) @ ( cartprod @ Y0 @ X2 ) ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f1462]) ).
thf(f1464,plain,
! [X2: $i,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ X3 )
=> ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ ( kpair @ X1 @ Y0 ) @ ( cartprod @ X3 @ X2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f1463]) ).
thf(f1465,plain,
! [X2: $i,X3: $i,X1: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ ( kpair @ X1 @ Y0 ) @ ( cartprod @ X3 @ X2 ) ) ) ) ) ),
inference(imp_proxy_clausification,[],[f1464]) ).
thf(f1466,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( ^ [Y0: $i] :
( ( in @ Y0 @ X2 )
=> ( in @ ( kpair @ X1 @ Y0 ) @ ( cartprod @ X3 @ X2 ) ) )
@ X4 ) ) ),
inference(pi_proxy_clausification,[],[f1465]) ).
thf(f1467,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( ( in @ X4 @ X2 )
=> ( in @ ( kpair @ X1 @ X4 ) @ ( cartprod @ X3 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f1466]) ).
thf(f1468,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i] :
( ( $true
= ( in @ ( kpair @ X1 @ X4 ) @ ( cartprod @ X3 @ X2 ) ) )
| ( ( in @ X4 @ X2 )
= $false )
| ( ( in @ X1 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f1467]) ).
thf(f2786,plain,
! [X1: $i] :
( $true
= ( ^ [Y0: $i] :
( !! @ ( $i > $o )
@ ^ [Y1: $i > $o] :
( !! @ $i
@ ^ [Y2: $i] :
( ( in @ Y0 @ Y2 )
=> ( ( Y1 @ Y0 )
=> ( in @ Y0
@ ( dsetconstr @ Y2
@ ^ [Y3: $i] : ( Y1 @ Y3 ) ) ) ) ) ) )
@ X1 ) ),
inference(pi_proxy_clausification,[],[f932]) ).
thf(f2787,plain,
! [X1: $i] :
( $true
= ( !! @ ( $i > $o )
@ ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( ( Y0 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2786]) ).
thf(f2788,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( ^ [Y0: $i > $o] :
( !! @ $i
@ ^ [Y1: $i] :
( ( in @ X1 @ Y1 )
=> ( ( Y0 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y1 @ Y0 ) ) ) ) )
@ X2 ) ),
inference(pi_proxy_clausification,[],[f2787]) ).
thf(f2789,plain,
! [X2: $i > $o,X1: $i] :
( $true
= ( !! @ $i
@ ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) ) ) ),
inference(beta-eta_normalization,[],[f2788]) ).
thf(f2790,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ^ [Y0: $i] :
( ( in @ X1 @ Y0 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ Y0 @ X2 ) ) ) )
@ X3 ) ),
inference(pi_proxy_clausification,[],[f2789]) ).
thf(f2791,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( $true
= ( ( in @ X1 @ X3 )
=> ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) ),
inference(beta-eta_normalization,[],[f2790]) ).
thf(f2792,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( ( in @ X1 @ X3 )
= $false )
| ( $true
= ( ( X2 @ X1 )
=> ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) ) ) ),
inference(imp_proxy_clausification,[],[f2791]) ).
thf(f2793,plain,
! [X2: $i > $o,X3: $i,X1: $i] :
( ( $true
= ( in @ X1 @ ( dsetconstr @ X3 @ X2 ) ) )
| ( $false
= ( X2 @ X1 ) )
| ( ( in @ X1 @ X3 )
= $false ) ),
inference(imp_proxy_clausification,[],[f2792]) ).
thf(f5989,definition,
( spl91_24
<=> ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl91_24])],[avatar_definition]) ).
thf(f5991,plain,
( ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ~ spl91_24 ),
inference(avatar_component_clause,[],[f5989]) ).
thf(f5993,definition,
( spl91_25
<=> ! [X2: $i,X1: $i] :
( ( ( kpair @ sK3 @ sK4 )
!= ( kpair @ X1 @ X2 ) )
| ( $false
= ( in @ X2 @ sK1 ) )
| ( $false
= ( sK2 @ X1 @ X2 ) )
| ( $false
= ( in @ X1 @ sK0 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl91_25])],[avatar_definition]) ).
thf(f5994,plain,
( ! [X2: $i,X1: $i] :
( ( ( kpair @ sK3 @ sK4 )
!= ( kpair @ X1 @ X2 ) )
| ( $false
= ( in @ X2 @ sK1 ) )
| ( $false
= ( sK2 @ X1 @ X2 ) )
| ( $false
= ( in @ X1 @ sK0 ) ) )
| ~ spl91_25 ),
inference(avatar_component_clause,[],[f5993]) ).
thf(f11557,plain,
( ( $false = $true )
| ( $false
= ( in @ sK4 @ sK1 ) )
| ( $false
= ( in @ sK3 @ sK0 ) )
| ~ spl91_24 ),
inference(constrained_superposition,[],[f1468,f5991]) ).
thf(f11558,plain,
( ( $false
= ( in @ sK4 @ sK1 ) )
| ( $false
= ( in @ sK3 @ sK0 ) )
| ~ spl91_24 ),
inference(trivial_inequality_removal,[],[f11557]) ).
thf(f11571,plain,
( ( $false = $true )
| ( $false
= ( in @ sK4 @ sK1 ) )
| ~ spl91_24 ),
inference(forward_demodulation,[],[f11558,f913]) ).
thf(f11572,plain,
( ( $false
= ( in @ sK4 @ sK1 ) )
| ~ spl91_24 ),
inference(trivial_inequality_removal,[],[f11571]) ).
thf(f11591,plain,
( ( $false = $true )
| ~ spl91_24 ),
inference(constrained_superposition,[],[f11572,f914]) ).
thf(f11601,plain,
( $false
| ~ spl91_24 ),
inference(trivial_inequality_removal,[],[f11591]) ).
thf(f11602,plain,
~ spl91_24,
inference(avatar_contradiction_clause,[],[f11601]) ).
thf(f25028,plain,
( ( $true != $true )
| ( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK0 )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ sK1 )
& ( sK2 @ Y1 @ Y2 )
& ( ( kpair @ Y1 @ Y2 )
= Y0 ) ) ) ) )
@ ( kpair @ sK3 @ sK4 ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(constrained_superposition,[],[f1102,f2793]) ).
thf(f25074,plain,
( ( $false
= ( ^ [Y0: $i] :
( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK0 )
& ( ?? @ $i
@ ^ [Y2: $i] :
( ( in @ Y2 @ sK1 )
& ( sK2 @ Y1 @ Y2 )
& ( ( kpair @ Y1 @ Y2 )
= Y0 ) ) ) ) )
@ ( kpair @ sK3 @ sK4 ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(trivial_inequality_removal,[],[f25028]) ).
thf(f25075,plain,
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK0 )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK1 )
& ( sK2 @ Y0 @ Y1 )
& ( ( kpair @ Y0 @ Y1 )
= ( kpair @ sK3 @ sK4 ) ) ) ) ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f25074]) ).
thf(f25076,plain,
! [X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ sK0 )
& ( ?? @ $i
@ ^ [Y1: $i] :
( ( in @ Y1 @ sK1 )
& ( sK2 @ Y0 @ Y1 )
& ( ( kpair @ Y0 @ Y1 )
= ( kpair @ sK3 @ sK4 ) ) ) ) )
@ X1 ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(pi_proxy_clausification,[],[f25075]) ).
thf(f25077,plain,
! [X1: $i] :
( ( $false
= ( ( in @ X1 @ sK0 )
& ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK1 )
& ( sK2 @ X1 @ Y0 )
& ( ( kpair @ X1 @ Y0 )
= ( kpair @ sK3 @ sK4 ) ) ) ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) ) ),
inference(beta-eta_normalization,[],[f25076]) ).
thf(f25078,plain,
! [X1: $i] :
( ( $false
= ( ?? @ $i
@ ^ [Y0: $i] :
( ( in @ Y0 @ sK1 )
& ( sK2 @ X1 @ Y0 )
& ( ( kpair @ X1 @ Y0 )
= ( kpair @ sK3 @ sK4 ) ) ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) ) ),
inference(and_proxy_clausification,[],[f25077]) ).
thf(f25079,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ^ [Y0: $i] :
( ( in @ Y0 @ sK1 )
& ( sK2 @ X1 @ Y0 )
& ( ( kpair @ X1 @ Y0 )
= ( kpair @ sK3 @ sK4 ) ) )
@ X2 ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) ) ),
inference(pi_proxy_clausification,[],[f25078]) ).
thf(f25080,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( in @ X2 @ sK1 )
& ( sK2 @ X1 @ X2 )
& ( ( kpair @ X1 @ X2 )
= ( kpair @ sK3 @ sK4 ) ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) ) ),
inference(beta-eta_normalization,[],[f25079]) ).
thf(f25081,plain,
! [X2: $i,X1: $i] :
( ( $false
= ( ( kpair @ X1 @ X2 )
= ( kpair @ sK3 @ sK4 ) ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) )
| ( $false
= ( ( in @ X2 @ sK1 )
& ( sK2 @ X1 @ X2 ) ) ) ),
inference(and_proxy_clausification,[],[f25080]) ).
thf(f25082,plain,
! [X2: $i,X1: $i] :
( ( ( kpair @ sK3 @ sK4 )
!= ( kpair @ X1 @ X2 ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) )
| ( $false
= ( ( in @ X2 @ sK1 )
& ( sK2 @ X1 @ X2 ) ) ) ),
inference(equality_proxy_clausification,[],[f25081]) ).
thf(f25083,plain,
! [X2: $i,X1: $i] :
( ( ( kpair @ sK3 @ sK4 )
!= ( kpair @ X1 @ X2 ) )
| ( $false
= ( in @ ( kpair @ sK3 @ sK4 ) @ ( cartprod @ sK0 @ sK1 ) ) )
| ( $false
= ( in @ X1 @ sK0 ) )
| ( $false
= ( sK2 @ X1 @ X2 ) )
| ( $false
= ( in @ X2 @ sK1 ) ) ),
inference(and_proxy_clausification,[],[f25082]) ).
thf(f25194,plain,
( spl91_24
| spl91_25 ),
inference(avatar_split_clause,[],[f25083,f5993,f5989]) ).
thf(f271712,plain,
( ( $false
= ( in @ sK4 @ sK1 ) )
| ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ( $false
= ( in @ sK3 @ sK0 ) )
| ~ spl91_25 ),
inference(equality_resolution,[],[f5994]) ).
thf(f271713,plain,
( ( $false = $true )
| ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ( $false
= ( in @ sK3 @ sK0 ) )
| ~ spl91_25 ),
inference(forward_demodulation,[],[f271712,f914]) ).
thf(f271714,plain,
( ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ( $false
= ( in @ sK3 @ sK0 ) )
| ~ spl91_25 ),
inference(trivial_inequality_removal,[],[f271713]) ).
thf(f271723,plain,
( ( $false = $true )
| ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ~ spl91_25 ),
inference(forward_demodulation,[],[f271714,f913]) ).
thf(f271724,plain,
( ( $false
= ( sK2 @ sK3 @ sK4 ) )
| ~ spl91_25 ),
inference(trivial_inequality_removal,[],[f271723]) ).
thf(f274117,plain,
( ( $false = $true )
| ~ spl91_25 ),
inference(constrained_superposition,[],[f271724,f915]) ).
thf(f274199,plain,
( $false
| ~ spl91_25 ),
inference(trivial_inequality_removal,[],[f274117]) ).
thf(f274200,plain,
~ spl91_25,
inference(avatar_contradiction_clause,[],[f274199]) ).
cnf(s49,plain,
~ spl91_24,
inference(sat_conversion,[],[f11602]) ).
cnf(s186,plain,
( spl91_24
| spl91_25 ),
inference(sat_conversion,[],[f25194]) ).
cnf(s584,plain,
~ spl91_25,
inference(sat_conversion,[],[f274200]) ).
cnf(s597,plain,
spl91_24,
inference(rat,[],[s186,s584]) ).
cnf(s670,plain,
$false,
inference(rat,[],[s49,s597]) ).
thf(f274254,plain,
$false,
inference(avatar_sat_refutation,[],[s670]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU665^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19 % Computer : n015.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 14:09:58 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.22 Running first-order model finding
% 0.10/0.22 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
% 4.04/1.02 % (3579479)Will run a generic schedule for satisfiability detection.
% 4.04/1.02 % (3579489)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3347747277:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/1.02 % (3579485)% WARNING: option uhcvi not known.
% 4.04/1.02 % (3579484)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1909365309_2999 on theBenchmark for (2999ds/0Mi)
% 4.04/1.02 % (3579488)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2090114886:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 4.04/1.02 % (3579485)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1325841567:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 4.04/1.02 % (3579486)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1048444886:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 4.04/1.02 % (3579487)dis+10_1_sil=32000:sp=arity:random_seed=787882752:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 4.04/1.02 % (3579490)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=149194800:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 4.04/1.02 % (3579488)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/1.02 % (3579485)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 4.04/1.02 % (3579489)Instruction limit reached!
% 4.04/1.02 % (3579489)------------------------------
% 4.04/1.02 % (3579489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.02 % (3579489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.02 % (3579489)CaDiCaL version: 2.1.3
% 4.04/1.02 % (3579489)Termination reason: Instruction limit
% 4.04/1.02 % (3579489)Termination phase: Saturation
% 4.04/1.02 % (3579489)Time elapsed: 0.031 s
% 4.04/1.02 % (3579489)Peak memory usage: 13 MB
% 4.04/1.02 % (3579489)Instructions burned: 132 (million)
% 4.04/1.02 % Exception at run slice level
% 4.04/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/1.02 % (3579485)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 4.04/1.02 % (3579498)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2833826470:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 4.04/1.02 % (3579487)Instruction limit reached!
% 4.04/1.02 % (3579487)------------------------------
% 4.04/1.02 % (3579487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.02 % (3579487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.02 % (3579487)CaDiCaL version: 2.1.3
% 4.04/1.02 % (3579487)Termination reason: Instruction limit
% 4.04/1.02 % (3579487)Termination phase: Saturation
% 4.04/1.02 % (3579487)Time elapsed: 0.044 s
% 4.04/1.02 % (3579487)Peak memory usage: 12 MB
% 4.04/1.02 % (3579487)Instructions burned: 105 (million)
% 4.04/1.02 % (3579488)Instruction limit reached!
% 4.04/1.02 % (3579488)------------------------------
% 4.04/1.02 % (3579488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.04/1.02 % (3579488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.02 % (3579488)CaDiCaL version: 2.1.3
% 4.04/1.02 % (3579488)Termination reason: Instruction limit
% 4.04/1.02 % (3579488)Termination phase: Saturation
% 4.04/1.02 % (3579488)Time elapsed: 0.050 s
% 4.04/1.02 % (3579488)Peak memory usage: 13 MB
% 4.04/1.02 % (3579488)Instructions burned: 117 (million)
% 4.04/1.02 % (3579499)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=667694514:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 4.04/1.02 % Exception at run slice level
% 4.04/1.02 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 4.04/1.02 % (3579504)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2655096682:i=477:bd=all_2999 on theBenchmark for (2999ds/477Mi)
% 4.04/1.02 % (3579501)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=1599912451:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 4.04/1.02 % (3579502)ott-21_1_sil=16000:fs=off:random_seed=3596493672:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 4.04/1.02 % (3579490)Instruction limit reached!
% 4.04/1.02 % (3579490)------------------------------
% 16.37/2.66 % (3579490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.37/2.66 % (3579490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/2.66 % (3579490)CaDiCaL version: 2.1.3
% 16.37/2.66 % (3579490)Termination reason: Instruction limit
% 16.37/2.66 % (3579490)Termination phase: Saturation
% 16.37/2.66 % (3579490)Time elapsed: 0.071 s
% 16.37/2.66 % (3579490)Peak memory usage: 14 MB
% 16.37/2.66 % (3579490)Instructions burned: 160 (million)
% 16.37/2.66 % (3579501)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.37/2.66 % (3579508)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2801610986:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 16.37/2.66 % (3579501)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 16.37/2.66 % (3579499)Instruction limit reached!
% 16.37/2.66 % (3579499)------------------------------
% 16.37/2.66 % (3579499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.37/2.66 % (3579499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/2.66 % (3579499)CaDiCaL version: 2.1.3
% 16.37/2.66 % (3579499)Termination reason: Instruction limit
% 16.37/2.66 % (3579499)Termination phase: Saturation
% 16.37/2.66 % (3579499)Time elapsed: 0.058 s
% 16.37/2.66 % (3579499)Peak memory usage: 13 MB
% 16.37/2.66 % (3579499)Instructions burned: 132 (million)
% 16.37/2.66 % Exception at run slice level
% 16.37/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.37/2.66 % (3579510)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=214782723:i=1179_2998 on theBenchmark for (2998ds/1179Mi)
% 16.37/2.66 % (3579511)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2225278436:i=889:ins=1_2998 on theBenchmark for (2998ds/889Mi)
% 16.37/2.66 % (3579502)Instruction limit reached!
% 16.37/2.66 % (3579502)------------------------------
% 16.37/2.66 % (3579502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.37/2.66 % (3579502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/2.66 % (3579502)CaDiCaL version: 2.1.3
% 16.37/2.66 % (3579502)Termination reason: Instruction limit
% 16.37/2.66 % (3579502)Termination phase: Saturation
% 16.37/2.66 % (3579502)Time elapsed: 0.081 s
% 16.37/2.66 % (3579502)Peak memory usage: 14 MB
% 16.37/2.66 % (3579502)Instructions burned: 181 (million)
% 16.37/2.66 % (3579514)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=1516626459: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)
% 16.37/2.66 % Exception at run slice level
% 16.37/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.37/2.66 % (3579514)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.37/2.66 % (3579516)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2670571725:i=879:kws=inv_precedence:fsr=off_2997 on theBenchmark for (2997ds/879Mi)
% 16.37/2.66 % (3579504)Instruction limit reached!
% 16.37/2.66 % (3579504)------------------------------
% 16.37/2.66 % (3579504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.37/2.66 % (3579504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.37/2.66 % (3579504)CaDiCaL version: 2.1.3
% 16.37/2.66 % (3579504)Termination reason: Instruction limit
% 16.37/2.66 % (3579504)Termination phase: Saturation
% 16.37/2.66 % (3579504)Time elapsed: 0.133 s
% 16.37/2.66 % (3579504)Peak memory usage: 15 MB
% 16.37/2.66 % (3579504)Instructions burned: 479 (million)
% 16.37/2.66 % (3579518)fmb+10_1_sil=64000:random_seed=267783737:i=22061:nm=2:gsp=on_2997 on theBenchmark for (2997ds/22061Mi)
% 16.37/2.66 % (3579516)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 16.37/2.66 % (3579518)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 16.37/2.66 % Exception at run slice level
% 16.37/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 16.37/2.66 % (3579520)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3552353026:i=9515:nm=5_2997 on theBenchmark for (2997ds/9515Mi)
% 16.37/2.66 % Exception at run slice level
% 16.37/2.66 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.70/6.44 % (3579522)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2277666190:fmbsr=1.7:i=920_2997 on theBenchmark for (2997ds/920Mi)
% 43.70/6.44 % Exception at run slice level
% 43.70/6.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.70/6.44 % (3579524)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1032133202:i=5131_2996 on theBenchmark for (2996ds/5131Mi)
% 43.70/6.44 % (3579524)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 43.70/6.44 % (3579501)Instruction limit reached!
% 43.70/6.44 % (3579501)------------------------------
% 43.70/6.44 % (3579501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.44 % (3579501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.44 % (3579501)CaDiCaL version: 2.1.3
% 43.70/6.44 % (3579501)Termination reason: Instruction limit
% 43.70/6.44 % (3579501)Termination phase: Saturation
% 43.70/6.44 % (3579501)Time elapsed: 0.279 s
% 43.70/6.44 % (3579501)Peak memory usage: 15 MB
% 43.70/6.44 % (3579501)Instructions burned: 684 (million)
% 43.70/6.44 % (3579526)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3455183434:i=1472:ins=7:fdi=8:gsp=on_2996 on theBenchmark for (2996ds/1472Mi)
% 43.70/6.44 % (3579526)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 43.70/6.44 % (3579526)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 43.70/6.44 % (3579514)Instruction limit reached!
% 43.70/6.44 % (3579514)------------------------------
% 43.70/6.44 % (3579514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.44 % (3579514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.44 % (3579514)CaDiCaL version: 2.1.3
% 43.70/6.44 % (3579514)Termination reason: Instruction limit
% 43.70/6.44 % (3579514)Termination phase: Saturation
% 43.70/6.44 % (3579514)Time elapsed: 0.298 s
% 43.70/6.44 % (3579514)Peak memory usage: 16 MB
% 43.70/6.44 % (3579514)Instructions burned: 693 (million)
% 43.70/6.44 % (3579528)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=427061555:i=6324_2994 on theBenchmark for (2994ds/6324Mi)
% 43.70/6.44 % Exception at run slice level
% 43.70/6.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.70/6.44 % (3579530)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=3086463261:fmbsr=2.30978:i=2174_2994 on theBenchmark for (2994ds/2174Mi)
% 43.70/6.44 % Exception at run slice level
% 43.70/6.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 43.70/6.44 % (3579532)ott-2_1_sil=16000:newcnf=on:random_seed=300099364:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2993 on theBenchmark for (2993ds/869Mi)
% 43.70/6.44 % (3579532)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 43.70/6.44 % (3579516)Instruction limit reached!
% 43.70/6.44 % (3579516)------------------------------
% 43.70/6.44 % (3579516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.44 % (3579516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.44 % (3579516)CaDiCaL version: 2.1.3
% 43.70/6.44 % (3579516)Termination reason: Instruction limit
% 43.70/6.44 % (3579516)Termination phase: Saturation
% 43.70/6.44 % (3579516)Time elapsed: 0.432 s
% 43.70/6.44 % (3579516)Peak memory usage: 17 MB
% 43.70/6.44 % (3579516)Instructions burned: 879 (million)
% 43.70/6.44 % (3579534)ott+10_1_sil=32000:tgt=ground:random_seed=3559324530:i=5114:av=off_2993 on theBenchmark for (2993ds/5114Mi)
% 43.70/6.44 % (3579510)Instruction limit reached!
% 43.70/6.44 % (3579510)------------------------------
% 43.70/6.44 % (3579510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 43.70/6.44 % (3579510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.70/6.44 % (3579510)CaDiCaL version: 2.1.3
% 43.70/6.44 % (3579510)Termination reason: Instruction limit
% 43.70/6.44 % (3579510)Termination phase: Saturation
% 43.70/6.44 % (3579510)Time elapsed: 0.554 s
% 43.70/6.44 % (3579510)Peak memory usage: 18 MB
% 43.70/6.44 % (3579510)Instructions burned: 1180 (million)
% 43.70/6.44 % (3579536)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3421905377:i=54282_2992 on theBenchmark for (2992ds/54282Mi)
% 43.70/6.44 % Exception at run slice level
% 43.70/6.44 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.63/12.97 % (3579538)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=192483005:i=3512:aac=none_2992 on theBenchmark for (2992ds/3512Mi)
% 89.63/12.97 % (3579538)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.63/12.97 % (3579532)Instruction limit reached!
% 89.63/12.97 % (3579532)------------------------------
% 89.63/12.97 % (3579532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.63/12.97 % (3579532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.63/12.97 % (3579532)CaDiCaL version: 2.1.3
% 89.63/12.97 % (3579532)Termination reason: Instruction limit
% 89.63/12.97 % (3579532)Termination phase: Saturation
% 89.63/12.97 % (3579532)Time elapsed: 0.321 s
% 89.63/12.97 % (3579532)Peak memory usage: 15 MB
% 89.63/12.97 % (3579532)Instructions burned: 870 (million)
% 89.63/12.97 % (3579540)dis+21_1_sil=32000:sas=cadical:random_seed=57165152:i=3773:amm=off_2990 on theBenchmark for (2990ds/3773Mi)
% 89.63/12.97 % (3579526)Instruction limit reached!
% 89.63/12.97 % (3579526)------------------------------
% 89.63/12.97 % (3579526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.63/12.97 % (3579526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.63/12.97 % (3579526)CaDiCaL version: 2.1.3
% 89.63/12.97 % (3579526)Termination reason: Instruction limit
% 89.63/12.97 % (3579526)Termination phase: Saturation
% 89.63/12.97 % (3579526)Time elapsed: 0.680 s
% 89.63/12.97 % (3579526)Peak memory usage: 26 MB
% 89.63/12.97 % (3579526)Instructions burned: 1472 (million)
% 89.63/12.97 % (3579542)ott+11_1_sil=16000:gs=on:random_seed=4056672968:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2989 on theBenchmark for (2989ds/2251Mi)
% 89.63/12.97 % (3579542)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 89.63/12.97 % (3579524)Instruction limit reached!
% 89.63/12.97 % (3579524)------------------------------
% 89.63/12.97 % (3579524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.63/12.97 % (3579524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.63/12.97 % (3579524)CaDiCaL version: 2.1.3
% 89.63/12.97 % (3579524)Termination reason: Instruction limit
% 89.63/12.97 % (3579524)Termination phase: Saturation
% 89.63/12.97 % (3579524)Time elapsed: 1.242 s
% 89.63/12.97 % (3579524)Peak memory usage: 26 MB
% 89.63/12.97 % (3579524)Instructions burned: 5134 (million)
% 89.63/12.97 % (3579544)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=2303300014:fmbsr=1.6:i=67534_2984 on theBenchmark for (2984ds/67534Mi)
% 89.63/12.97 % Exception at run slice level
% 89.63/12.97 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 89.63/12.97 % (3579546)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=399610037:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2983 on theBenchmark for (2983ds/4591Mi)
% 89.63/12.97 % (3579542)Instruction limit reached!
% 89.63/12.97 % (3579542)------------------------------
% 89.63/12.97 % (3579542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.63/12.97 % (3579542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.63/12.97 % (3579542)CaDiCaL version: 2.1.3
% 89.63/12.97 % (3579542)Termination reason: Instruction limit
% 89.63/12.97 % (3579542)Termination phase: Saturation
% 89.63/12.97 % (3579542)Time elapsed: 0.919 s
% 89.63/12.97 % (3579542)Peak memory usage: 16 MB
% 89.63/12.97 % (3579542)Instructions burned: 2252 (million)
% 89.63/12.97 % (3579548)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=117623544:i=29340_2979 on theBenchmark for (2979ds/29340Mi)
% 89.63/12.97 % (3579538)Instruction limit reached!
% 89.63/12.97 % (3579538)------------------------------
% 89.63/12.97 % (3579538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 89.63/12.97 % (3579538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.63/12.97 % (3579538)CaDiCaL version: 2.1.3
% 89.63/12.97 % (3579538)Termination reason: Instruction limit
% 89.63/12.97 % (3579538)Termination phase: Saturation
% 89.63/12.97 % (3579538)Time elapsed: 1.603 s
% 89.63/12.97 % (3579538)Peak memory usage: 23 MB
% 89.63/12.97 % (3579538)Instructions burned: 3512 (million)
% 89.63/12.97 % (3579550)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=3065952012:i=5211_2975 on theBenchmark for (2975ds/5211Mi)
% 99.77/14.38 % (3579546)Instruction limit reached!
% 99.77/14.38 % (3579546)------------------------------
% 99.77/14.38 % (3579546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.77/14.38 % (3579546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.77/14.38 % (3579546)CaDiCaL version: 2.1.3
% 99.77/14.38 % (3579546)Termination reason: Instruction limit
% 99.77/14.38 % (3579546)Termination phase: Saturation
% 99.77/14.38 % (3579546)Time elapsed: 1.087 s
% 99.77/14.38 % (3579546)Peak memory usage: 26 MB
% 99.77/14.38 % (3579546)Instructions burned: 4593 (million)
% 99.77/14.38 % (3579552)fmb+10_1_sil=32000:sas=cadical:bce=on:fmbss=17:random_seed=1251314547:i=5497:nm=2_2972 on theBenchmark for (2972ds/5497Mi)
% 99.77/14.38 % Exception at run slice level
% 99.77/14.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.77/14.38 % (3579554)fmb+10_1_fmbas=predicate:sil=64000:tgt=full:sas=cadical:fmbss=15:random_seed=1622796176:fmbsr=2:i=46332_2972 on theBenchmark for (2972ds/46332Mi)
% 99.77/14.38 % (3579540)Instruction limit reached!
% 99.77/14.38 % (3579540)------------------------------
% 99.77/14.38 % (3579540)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.77/14.38 % (3579540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.77/14.38 % (3579540)CaDiCaL version: 2.1.3
% 99.77/14.38 % (3579540)Termination reason: Instruction limit
% 99.77/14.38 % (3579540)Termination phase: Saturation
% 99.77/14.38 % (3579540)Time elapsed: 1.771 s
% 99.77/14.38 % (3579540)Peak memory usage: 24 MB
% 99.77/14.38 % (3579540)Instructions burned: 3774 (million)
% 99.77/14.38 % Exception at run slice level
% 99.77/14.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.77/14.38 % (3579556)fmb+10_1_sil=128000:tgt=full:sas=cadical:fmbss=12:random_seed=2097795603:i=14071_2972 on theBenchmark for (2972ds/14071Mi)
% 99.77/14.38 % (3579557)dis+10_161_sil=128000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3111171500:i=22565:add=on:rawr=on_2972 on theBenchmark for (2972ds/22565Mi)
% 99.77/14.38 % Exception at run slice level
% 99.77/14.38 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 99.77/14.38 % (3579560)ott+4_1_sil=16000:sp=arity:gs=on:random_seed=41543830:i=8173:av=off_2971 on theBenchmark for (2971ds/8173Mi)
% 99.77/14.38 % (3579534)Instruction limit reached!
% 99.77/14.38 % (3579534)------------------------------
% 99.77/14.38 % (3579534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.77/14.38 % (3579534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.77/14.38 % (3579534)CaDiCaL version: 2.1.3
% 99.77/14.38 % (3579534)Termination reason: Instruction limit
% 99.77/14.38 % (3579534)Termination phase: Saturation
% 99.77/14.38 % (3579534)Time elapsed: 2.245 s
% 99.77/14.38 % (3579534)Peak memory usage: 27 MB
% 99.77/14.38 % (3579534)Instructions burned: 5116 (million)
% 99.77/14.38 % (3579562)dis+10_16:1_sil=16000:random_seed=118685941:i=9155:fsr=off_2970 on theBenchmark for (2970ds/9155Mi)
% 99.77/14.38 % (3579550)Instruction limit reached!
% 99.77/14.38 % (3579550)------------------------------
% 99.77/14.38 % (3579550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.77/14.38 % (3579550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.77/14.38 % (3579550)CaDiCaL version: 2.1.3
% 99.77/14.38 % (3579550)Termination reason: Instruction limit
% 99.77/14.38 % (3579550)Termination phase: Saturation
% 99.77/14.38 % (3579550)Time elapsed: 2.531 s
% 99.77/14.38 % (3579550)Peak memory usage: 33 MB
% 99.77/14.38 % (3579550)Instructions burned: 5213 (million)
% 99.77/14.38 % (3579971)ott-3_8_sil=64000:random_seed=2752195730:i=20139:bs=on_2950 on theBenchmark for (2950ds/20139Mi)
% 99.77/14.38 % (3579560)Instruction limit reached!
% 99.77/14.38 % (3579560)------------------------------
% 99.77/14.38 % (3579560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 99.77/14.38 % (3579560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 99.77/14.38 % (3579560)CaDiCaL version: 2.1.3
% 99.77/14.38 % (3579560)Termination reason: Instruction limit
% 99.77/14.38 % (3579560)Termination phase: Saturation
% 99.77/14.38 % (3579560)Time elapsed: 3.352 s
% 99.77/14.38 % (3579560)Peak memory usage: 26 MB
% 99.77/14.38 % (3579560)Instructions burned: 8174 (million)
% 99.77/14.38 % (3579977)fmb+10_1_sil=64000:tgt=ground:sas=cadical:bce=on:fmbss=9:random_seed=4274430584:fmbsr=2:i=32576_2938 on theBenchmark for (2938ds/32576Mi)
% 107.81/15.56 % Exception at run slice level
% 107.81/15.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 107.81/15.56 % (3579557)Instruction limit reached!
% 107.81/15.56 % (3579557)------------------------------
% 107.81/15.56 % (3579557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.81/15.56 % (3579557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.81/15.56 % (3579557)CaDiCaL version: 2.1.3
% 107.81/15.56 % (3579557)Termination reason: Instruction limit
% 107.81/15.56 % (3579557)Termination phase: Saturation
% 107.81/15.56 % (3579557)Time elapsed: 3.461 s
% 107.81/15.56 % (3579557)Peak memory usage: 19 MB
% 107.81/15.56 % (3579557)Instructions burned: 22572 (million)
% 107.81/15.56 % (3579980)ott-11_1_sil=16000:alpa=false:sac=on:random_seed=833514390:i=14134_2937 on theBenchmark for (2937ds/14134Mi)
% 107.81/15.56 % (3579979)ott+10_8:1_sil=16000:sp=arity:gs=on:random_seed=2673343611:i=11404_2937 on theBenchmark for (2937ds/11404Mi)
% 107.81/15.56 % (3579980)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 107.81/15.56 % (3579562)Instruction limit reached!
% 107.81/15.56 % (3579562)------------------------------
% 107.81/15.56 % (3579562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.81/15.56 % (3579562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.81/15.56 % (3579562)CaDiCaL version: 2.1.3
% 107.81/15.56 % (3579562)Termination reason: Instruction limit
% 107.81/15.56 % (3579562)Termination phase: Saturation
% 107.81/15.56 % (3579562)Time elapsed: 4.121 s
% 107.81/15.56 % (3579562)Peak memory usage: 37 MB
% 107.81/15.56 % (3579562)Instructions burned: 9156 (million)
% 107.81/15.56 % (3579983)dis+33_16_sil=32000:sac=on:random_seed=2113592946:i=15851:nm=0_2929 on theBenchmark for (2929ds/15851Mi)
% 107.81/15.56 % (3579980)Instruction limit reached!
% 107.81/15.56 % (3579980)------------------------------
% 107.81/15.56 % (3579980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.81/15.56 % (3579980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.81/15.56 % (3579980)CaDiCaL version: 2.1.3
% 107.81/15.56 % (3579980)Termination reason: Instruction limit
% 107.81/15.56 % (3579980)Termination phase: Saturation
% 107.81/15.56 % (3579980)Time elapsed: 3.146 s
% 107.81/15.56 % (3579980)Peak memory usage: 39 MB
% 107.81/15.56 % (3579980)Instructions burned: 14137 (million)
% 107.81/15.56 % (3579985)dis+4_1024_sil=32000:avsql=on:sp=occurrence:gs=on:avsqc=1:random_seed=2040570020:avsq=on:i=17627:add=on:amm=off_2905 on theBenchmark for (2905ds/17627Mi)
% 107.81/15.56 % (3579979)Instruction limit reached!
% 107.81/15.56 % (3579979)------------------------------
% 107.81/15.56 % (3579979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.81/15.56 % (3579979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.81/15.56 % (3579979)CaDiCaL version: 2.1.3
% 107.81/15.56 % (3579979)Termination reason: Instruction limit
% 107.81/15.56 % (3579979)Termination phase: Saturation
% 107.81/15.56 % (3579979)Time elapsed: 5.422 s
% 107.81/15.56 % (3579979)Peak memory usage: 50 MB
% 107.81/15.56 % (3579979)Instructions burned: 11405 (million)
% 107.81/15.56 % (3579987)ott+10_64_anc=all:sil=128000:sas=cadical:bsr=unit_only:nwc=1:cn=on:random_seed=3850412059:s2a=on:i=53295_2883 on theBenchmark for (2883ds/53295Mi)
% 107.81/15.56 % (3579971)Instruction limit reached!
% 107.81/15.56 % (3579971)------------------------------
% 107.81/15.56 % (3579971)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 107.81/15.56 % (3579971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 107.81/15.56 % (3579971)CaDiCaL version: 2.1.3
% 107.81/15.56 % (3579971)Termination reason: Instruction limit
% 107.81/15.56 % (3579971)Termination phase: Saturation
% 107.81/15.56 % (3579971)Time elapsed: 7.397 s
% 107.81/15.56 % (3579971)Peak memory usage: 21 MB
% 107.81/15.56 % (3579971)Instructions burned: 20139 (million)
% 107.81/15.56 % (3579989)fmb+10_1_sil=32000:sas=cadical:fmbss=16:random_seed=1449056469:i=26857:ins=20_2876 on theBenchmark for (2876ds/26857Mi)
% 107.81/15.56 % Exception at run slice level
% 107.81/15.56 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 107.81/15.56 % (3579991)ott+10_1_sil=64000:plsq=on:plsqc=4:bsr=unit_only:gs=on:random_seed=3441023645:i=28120:bs=on:fsr=off_2875 on theBenchmark for (2875ds/28120Mi)
% 107.81/15.56 % (3579983)Instruction limit reached!
% 107.81/15.56 % (3579983)------------------------------
% 107.81/15.56 % (3579983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.09 % (3579983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.09 % (3579983)CaDiCaL version: 2.1.3
% 126.30/18.09 % (3579983)Termination reason: Instruction limit
% 126.30/18.09 % (3579983)Termination phase: Saturation
% 126.30/18.09 % (3579983)Time elapsed: 5.632 s
% 126.30/18.09 % (3579983)Peak memory usage: 17 MB
% 126.30/18.09 % (3579983)Instructions burned: 15852 (million)
% 126.30/18.09 % (3579993)fmb+10_1_sil=256000:fmbss=7:random_seed=1255033016:fmbsr=1.6:i=182295_2872 on theBenchmark for (2872ds/182295Mi)
% 126.30/18.09 % (3579985)Instruction limit reached!
% 126.30/18.09 % (3579985)------------------------------
% 126.30/18.09 % (3579985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.09 % (3579985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.09 % (3579985)CaDiCaL version: 2.1.3
% 126.30/18.09 % (3579985)Termination reason: Instruction limit
% 126.30/18.09 % (3579985)Termination phase: Saturation
% 126.30/18.09 % (3579985)Time elapsed: 3.360 s
% 126.30/18.09 % (3579985)Peak memory usage: 24 MB
% 126.30/18.09 % (3579985)Instructions burned: 17631 (million)
% 126.30/18.09 % (3579995)fmb+10_1_sil=128000:fmbss=21:newcnf=on:random_seed=3264997587:i=44625:gsp=on_2872 on theBenchmark for (2872ds/44625Mi)
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % (3579995)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 126.30/18.09 % (3579995)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % (3579997)fmb+10_1_sil=256000:sas=cadical:fmbss=15:random_seed=1698520729:i=160505_2872 on theBenchmark for (2872ds/160505Mi)
% 126.30/18.09 % (3579998)fmb+10_1_sil=256000:tgt=full:fmbss=10:random_seed=3798817287:fmbsr=1.3:i=225729_2871 on theBenchmark for (2871ds/225729Mi)
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % (3580001)fmb+10_1_sil=256000:tgt=full:sas=cadical:fmbss=10:random_seed=94540347:fmbsr=2:i=185024:ins=7_2871 on theBenchmark for (2871ds/185024Mi)
% 126.30/18.09 % (3580002)fmb+10_1_sas=cadical:si=on:bce=on:rp=on:random_seed=2129701173:rtra=on_2871 on theBenchmark for (2871ds/0Mi)
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % (3580005)% WARNING: option uhcvi not known.
% 126.30/18.09 % (3580005)dis+11_61:31_drc=ordering:si=on:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=823137174:i=271062:add=off:rtra=on:rawr=on_2871 on theBenchmark for (2871ds/271062Mi)
% 126.30/18.09 % (3580005)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 126.30/18.09 % Exception at run slice level
% 126.30/18.09 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 126.30/18.09 % (3580005)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 126.30/18.09 % (3580007)dis+10_161_sil=256000:plsq=on:si=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=652246888:i=176048:add=on:rtra=on:rawr=on_2871 on theBenchmark for (2871ds/176048Mi)
% 126.30/18.09 % (3579548)Instruction limit reached!
% 126.30/18.09 % (3579548)------------------------------
% 126.30/18.09 % (3579548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 126.30/18.09 % (3579548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 126.30/18.09 % (3579548)CaDiCaL version: 2.1.3
% 126.30/18.09 % (3579548)Termination reason: Instruction limit
% 126.30/18.09 % (3579548)Termination phase: Saturation
% 126.30/18.09 % (3579548)Time elapsed: 11.965 s
% 126.30/18.09 % (3579548)Peak memory usage: 61 MB
% 126.30/18.09 % (3579548)Instructions burned: 29341 (million)
% 126.30/18.09 % (3580009)dis+10_1_sil=32000:si=on:sp=arity:random_seed=3318878442:i=206:fgj=on:rtra=on_2859 on theBenchmark for (2859ds/206Mi)
% 126.30/18.09 % (3580009)Instruction limit reached!
% 126.30/18.09 % (3580009)------------------------------
% 144.53/20.64 % (3580009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580009)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580009)Termination reason: Instruction limit
% 144.53/20.64 % (3580009)Termination phase: Saturation
% 144.53/20.64 % (3580009)Time elapsed: 0.096 s
% 144.53/20.64 % (3580009)Peak memory usage: 14 MB
% 144.53/20.64 % (3580009)Instructions burned: 207 (million)
% 144.53/20.64 % (3580011)ott+31_1_sil=16000:si=on:lcm=predicate:bce=on:newcnf=on:random_seed=1402572242:i=232:rtra=on_2858 on theBenchmark for (2858ds/232Mi)
% 144.53/20.64 % (3580011)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 144.53/20.64 % (3580011)Instruction limit reached!
% 144.53/20.64 % (3580011)------------------------------
% 144.53/20.64 % (3580011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580011)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580011)Termination reason: Instruction limit
% 144.53/20.64 % (3580011)Termination phase: Saturation
% 144.53/20.64 % (3580011)Time elapsed: 0.107 s
% 144.53/20.64 % (3580011)Peak memory usage: 14 MB
% 144.53/20.64 % (3580011)Instructions burned: 233 (million)
% 144.53/20.64 % (3580013)ott+1_1_to=lpo:sil=16000:si=on:sp=reverse_arity:erd=off:random_seed=380825002:i=262:rtra=on_2857 on theBenchmark for (2857ds/262Mi)
% 144.53/20.64 % (3580013)Instruction limit reached!
% 144.53/20.64 % (3580013)------------------------------
% 144.53/20.64 % (3580013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580013)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580013)Termination reason: Instruction limit
% 144.53/20.64 % (3580013)Termination phase: Saturation
% 144.53/20.64 % (3580013)Time elapsed: 0.123 s
% 144.53/20.64 % (3580013)Peak memory usage: 14 MB
% 144.53/20.64 % (3580013)Instructions burned: 263 (million)
% 144.53/20.64 % (3580015)ott-3_16_to=lpo:sil=16000:si=on:sp=arity:fd=off:rp=on:random_seed=2605780473:i=318:bs=unit_only:nicw=on:fsr=off:rtra=on:amm=off_2855 on theBenchmark for (2855ds/318Mi)
% 144.53/20.64 % (3580015)Instruction limit reached!
% 144.53/20.64 % (3580015)------------------------------
% 144.53/20.64 % (3580015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580015)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580015)Termination reason: Instruction limit
% 144.53/20.64 % (3580015)Termination phase: Saturation
% 144.53/20.64 % (3580015)Time elapsed: 0.141 s
% 144.53/20.64 % (3580015)Peak memory usage: 14 MB
% 144.53/20.64 % (3580015)Instructions burned: 320 (million)
% 144.53/20.64 % (3580017)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:si=on:random_seed=1743839682:i=1428:nm=2:rtra=on_2854 on theBenchmark for (2854ds/1428Mi)
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580019)ott+32_1_sil=16000:bsd=on:si=on:sp=const_max:bce=on:random_seed=793285319:i=262:bd=preordered:rtra=on:fsd=on_2853 on theBenchmark for (2853ds/262Mi)
% 144.53/20.64 % (3580019)Instruction limit reached!
% 144.53/20.64 % (3580019)------------------------------
% 144.53/20.64 % (3580019)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580019)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580019)Termination reason: Instruction limit
% 144.53/20.64 % (3580019)Termination phase: Saturation
% 144.53/20.64 % (3580019)Time elapsed: 0.122 s
% 144.53/20.64 % (3580019)Peak memory usage: 14 MB
% 144.53/20.64 % (3580019)Instructions burned: 263 (million)
% 144.53/20.64 % (3580021)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=638628352:i=1368:slsql=off:bs=unit_only:nicw=on:rtra=on:rawr=on_2852 on theBenchmark for (2852ds/1368Mi)
% 144.53/20.64 % (3580021)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 144.53/20.64 % (3580021)WARNING: Look ahead literal selection is not currently compatible with higher-order. Ignoring request to use
% 144.53/20.64 % (3580021)Instruction limit reached!
% 144.53/20.64 % (3580021)------------------------------
% 144.53/20.64 % (3580021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580021)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580021)Termination reason: Instruction limit
% 144.53/20.64 % (3580021)Termination phase: Saturation
% 144.53/20.64 % (3580021)Time elapsed: 0.536 s
% 144.53/20.64 % (3580021)Peak memory usage: 16 MB
% 144.53/20.64 % (3580021)Instructions burned: 1369 (million)
% 144.53/20.64 % (3580023)ott-21_1_sil=16000:si=on:fs=off:random_seed=2022424768:i=360:av=off:fsr=off:rtra=on_2846 on theBenchmark for (2846ds/360Mi)
% 144.53/20.64 % (3580023)Instruction limit reached!
% 144.53/20.64 % (3580023)------------------------------
% 144.53/20.64 % (3580023)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580023)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580023)Termination reason: Instruction limit
% 144.53/20.64 % (3580023)Termination phase: Saturation
% 144.53/20.64 % (3580023)Time elapsed: 0.164 s
% 144.53/20.64 % (3580023)Peak memory usage: 15 MB
% 144.53/20.64 % (3580023)Instructions burned: 360 (million)
% 144.53/20.64 % (3580025)dis+10_4_sil=64000:si=on:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3150075985:i=954:bd=all:rtra=on_2844 on theBenchmark for (2844ds/954Mi)
% 144.53/20.64 % (3580025)Instruction limit reached!
% 144.53/20.64 % (3580025)------------------------------
% 144.53/20.64 % (3580025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580025)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580025)Termination reason: Instruction limit
% 144.53/20.64 % (3580025)Termination phase: Saturation
% 144.53/20.64 % (3580025)Time elapsed: 0.505 s
% 144.53/20.64 % (3580025)Peak memory usage: 15 MB
% 144.53/20.64 % (3580025)Instructions burned: 955 (million)
% 144.53/20.64 % (3580027)fmb+10_1_sil=64000:si=on:erd=off:updr=off:random_seed=1507953006:fmbsr=1.3:i=1730:ins=25:rtra=on_2839 on theBenchmark for (2839ds/1730Mi)
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580029)ott+10_1_to=lpo:sil=64000:tgt=full:si=on:sp=arity:spb=goal_then_units:random_seed=1834761750:i=2358:rtra=on_2839 on theBenchmark for (2839ds/2358Mi)
% 144.53/20.64 % (3580029)Instruction limit reached!
% 144.53/20.64 % (3580029)------------------------------
% 144.53/20.64 % (3580029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580029)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580029)Termination reason: Instruction limit
% 144.53/20.64 % (3580029)Termination phase: Saturation
% 144.53/20.64 % (3580029)Time elapsed: 1.079 s
% 144.53/20.64 % (3580029)Peak memory usage: 25 MB
% 144.53/20.64 % (3580029)Instructions burned: 2359 (million)
% 144.53/20.64 % (3580031)fmb+10_1_sil=64000:si=on:erd=off:fmbss=14:random_seed=3604603882:i=1778:ins=1:rtra=on_2828 on theBenchmark for (2828ds/1778Mi)
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580033)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=423739519: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)
% 144.53/20.64 % (3580033)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 144.53/20.64 % (3580033)Instruction limit reached!
% 144.53/20.64 % (3580033)------------------------------
% 144.53/20.64 % (3580033)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580033)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580033)Termination reason: Instruction limit
% 144.53/20.64 % (3580033)Termination phase: Saturation
% 144.53/20.64 % (3580033)Time elapsed: 0.556 s
% 144.53/20.64 % (3580033)Peak memory usage: 17 MB
% 144.53/20.64 % (3580033)Instructions burned: 1386 (million)
% 144.53/20.64 % (3580036)dis-10_1_anc=none:sil=64000:si=on:spb=goal:newcnf=on:cn=on:random_seed=1145916609:i=1758:kws=inv_precedence:fsr=off:rtra=on_2821 on theBenchmark for (2821ds/1758Mi)
% 144.53/20.64 % (3580036)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 144.53/20.64 % (3580036)Instruction limit reached!
% 144.53/20.64 % (3580036)------------------------------
% 144.53/20.64 % (3580036)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3580036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3580036)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3580036)Termination reason: Instruction limit
% 144.53/20.64 % (3580036)Termination phase: Saturation
% 144.53/20.64 % (3580036)Time elapsed: 0.854 s
% 144.53/20.64 % (3580036)Peak memory usage: 20 MB
% 144.53/20.64 % (3580036)Instructions burned: 1759 (million)
% 144.53/20.64 % (3580153)fmb+10_1_sil=64000:si=on:random_seed=291249378:i=44122:nm=2:rtra=on:gsp=on_2813 on theBenchmark for (2813ds/44122Mi)
% 144.53/20.64 % (3580153)WARNING: Not using GeneralSplitting currently not compatible with polymorphic/higher-order inputs.
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580155)fmb+10_1_sil=16000:sas=cadical:si=on:fmbss=20:random_seed=2455198783:i=19030:nm=5:rtra=on_2812 on theBenchmark for (2812ds/19030Mi)
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580157)fmb+10_1_sil=64000:sas=cadical:si=on:fmbss=8:random_seed=4180514018:fmbsr=1.7:i=1840:rtra=on_2811 on theBenchmark for (2811ds/1840Mi)
% 144.53/20.64 % Exception at run slice level
% 144.53/20.64 User error: Finite model building is currently not compatible with polymorphism or higher-order constructs
% 144.53/20.64 % (3580159)dis-4_1_sil=16000:drc=ordering:si=on:sp=const_frequency:sac=on:newcnf=on:random_seed=3134437122:i=10262:rtra=on_2811 on theBenchmark for (2811ds/10262Mi)
% 144.53/20.64 % (3580159)WARNING: Not using 'newcnf' as currently not compatible with higher-order inputs.
% 144.53/20.64 % (3579485) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3579479-3579485"...
% 144.53/20.64 % (3579485)...printing done.
% 144.53/20.64 % (3579485)Refutation found. Thanks to Tanya!
% 144.53/20.64 % SZS status Theorem for theBenchmark
% 144.53/20.64 % SZS output start Proof for theBenchmark
% See solution above
% 144.53/20.64 % (3579485)------------------------------
% 144.53/20.64 % (3579485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 144.53/20.64 % (3579485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.53/20.64 % (3579485)CaDiCaL version: 2.1.3
% 144.53/20.64 % (3579485)Termination reason: Refutation
% 144.53/20.64 % (3579485)Time elapsed: 20.319 s
% 144.53/20.64 % (3579485)Peak memory usage: 84 MB
% 144.53/20.64 % (3579485)Instructions burned: 44252 (million)
% 144.53/20.64 % (3579479)Success in time 20.402 s
% 144.53/20.64 % Vampire exiting
%------------------------------------------------------------------------------