TSTP Solution File: SWW190+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 1 00:16:25 EDT 2023
% Result : Theorem 24.72s 24.88s
% Output : CNFRefutation 24.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 210
% Syntax : Number of formulae : 258 ( 33 unt; 195 typ; 0 def)
% Number of atoms : 108 ( 25 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 81 ( 36 ~; 30 |; 3 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 379 ( 183 >; 196 *; 0 +; 0 <<)
% Number of predicates : 80 ( 78 usr; 1 prp; 0-6 aty)
% Number of functors : 117 ( 117 usr; 12 con; 0-7 aty)
% Number of variables : 117 ( 32 sgn; 58 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_23,type,
v_P: $i ).
tff(decl_24,type,
v_x____: $i ).
tff(decl_25,type,
hBOOL: $i > $o ).
tff(decl_26,type,
tc_RealDef_Oreal: $i ).
tff(decl_27,type,
c_Orderings_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
tc_HOL_Obool: $i ).
tff(decl_29,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_30,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_31,type,
class_Orderings_Otop: $i > $o ).
tff(decl_32,type,
v_Y____: $i ).
tff(decl_33,type,
class_Orderings_Oord: $i > $o ).
tff(decl_34,type,
c_Lubs_Oubs: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Lubs_OisUb: ( $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Set_OCollect: ( $i * $i ) > $i ).
tff(decl_37,type,
c_member: ( $i * $i * $i ) > $o ).
tff(decl_38,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_39,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_40,type,
c_Lubs_Osetge: ( $i * $i * $i ) > $o ).
tff(decl_41,type,
c_Lubs_OisLub: ( $i * $i * $i * $i ) > $o ).
tff(decl_42,type,
c_Lubs_Osetle: ( $i * $i * $i ) > $o ).
tff(decl_43,type,
c_Limits_Owithin: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_45,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_46,type,
c_fequal: $i > $i ).
tff(decl_47,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_48,type,
c_Lubs_OleastP: ( $i * $i * $i ) > $o ).
tff(decl_49,type,
class_Rings_Olinordered__idom: $i > $o ).
tff(decl_50,type,
c_Orderings_Oord__class_Oless__eq: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
c_Set_OPow: ( $i * $i ) > $i ).
tff(decl_52,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_53,type,
c_Predicate_OPowp: ( $i * $i ) > $i ).
tff(decl_54,type,
c_SEQ_Odecseq: ( $i * $i ) > $o ).
tff(decl_55,type,
tc_Nat_Onat: $i ).
tff(decl_56,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_57,type,
c_SEQ_Oincseq: ( $i * $i ) > $o ).
tff(decl_58,type,
c_Complete__Lattice_Ocomplete__lattice__class_OSUPR: ( $i * $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Complete__Lattice_Ocomplete__lattice__class_OINFI: ( $i * $i * $i * $i ) > $i ).
tff(decl_60,type,
class_Orderings_Obot: $i > $o ).
tff(decl_61,type,
c_SEQ_Omonoseq: ( $i * $i ) > $o ).
tff(decl_62,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_63,type,
c_RComplete_Onatceiling: $i > $i ).
tff(decl_64,type,
c_Set_Othe__elem: ( $i * $i ) > $i ).
tff(decl_65,type,
c_Groups_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
c_Lattices_Osemilattice__inf__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_67,type,
c_Lattices_Osemilattice__sup__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_68,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_69,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_70,type,
class_Lattices_Obounded__lattice__top: $i > $o ).
tff(decl_71,type,
class_Lattices_Osemilattice__sup: $i > $o ).
tff(decl_72,type,
class_Lattices_Osemilattice__inf: $i > $o ).
tff(decl_73,type,
class_Lattices_Obounded__lattice__bot: $i > $o ).
tff(decl_74,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_75,type,
class_Groups_Ominus: $i > $o ).
tff(decl_76,type,
class_Groups_Oordered__ab__group__add: $i > $o ).
tff(decl_77,type,
c_Nitpick_Ofold__graph_H: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_78,type,
c_Groups_Ozero__class_Ozero: $i > $i ).
tff(decl_79,type,
class_Groups_Ozero: $i > $o ).
tff(decl_80,type,
class_Groups_Ogroup__add: $i > $o ).
tff(decl_81,type,
class_Groups_Oab__group__add: $i > $o ).
tff(decl_82,type,
c_RComplete_Onatfloor: $i > $i ).
tff(decl_83,type,
c_Finite__Set_Ofold__graph: ( $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_84,type,
c_Groups_Oone__class_Oone: $i > $i ).
tff(decl_85,type,
c_Nat_Osemiring__1__class_ONats: $i > $i ).
tff(decl_86,type,
class_GCD_Ogcd: $i > $o ).
tff(decl_87,type,
c_GCD_Ogcd__class_OGcd: ( $i * $i ) > $i ).
tff(decl_88,type,
class_Rings_Ozero__neq__one: $i > $o ).
tff(decl_89,type,
class_Rings_Osemiring__1: $i > $o ).
tff(decl_90,type,
class_Groups_Oone: $i > $o ).
tff(decl_91,type,
class_Rings_Olinordered__semidom: $i > $o ).
tff(decl_92,type,
c_GCD_Ogcd__class_OLcm: ( $i * $i ) > $i ).
tff(decl_93,type,
c_Finite__Set_Ofold1Set: ( $i * $i * $i * $i ) > $o ).
tff(decl_94,type,
c_Groups_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
class_Groups_Oab__semigroup__mult: $i > $o ).
tff(decl_96,type,
c_Groups_Otimes__class_Otimes: $i > $i ).
tff(decl_97,type,
class_Rings_Olinordered__semiring__1: $i > $o ).
tff(decl_98,type,
class_Rings_Ono__zero__divisors: $i > $o ).
tff(decl_99,type,
class_Rings_Oring__no__zero__divisors: $i > $o ).
tff(decl_100,type,
class_Rings_Omult__zero: $i > $o ).
tff(decl_101,type,
class_Groups_Omonoid__add: $i > $o ).
tff(decl_102,type,
class_Groups_Ocomm__monoid__add: $i > $o ).
tff(decl_103,type,
class_Groups_Olinordered__ab__group__add: $i > $o ).
tff(decl_104,type,
class_Rings_Oring__1: $i > $o ).
tff(decl_105,type,
class_Groups_Ocomm__monoid__mult: $i > $o ).
tff(decl_106,type,
class_Groups_Omonoid__mult: $i > $o ).
tff(decl_107,type,
class_Groups_Oordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_108,type,
class_Groups_Oordered__ab__semigroup__add: $i > $o ).
tff(decl_109,type,
class_Groups_Oab__semigroup__add: $i > $o ).
tff(decl_110,type,
class_Groups_Ocancel__semigroup__add: $i > $o ).
tff(decl_111,type,
class_Groups_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_112,type,
class_Groups_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_113,type,
class_Rings_Ocomm__semiring: $i > $o ).
tff(decl_114,type,
class_Rings_Osemiring: $i > $o ).
tff(decl_115,type,
class_Lattices_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_116,type,
class_Rings_Oring: $i > $o ).
tff(decl_117,type,
class_Rings_Oordered__ring: $i > $o ).
tff(decl_118,type,
class_Rings_Olinordered__semiring__1__strict: $i > $o ).
tff(decl_119,type,
class_Groups_Oordered__comm__monoid__add: $i > $o ).
tff(decl_120,type,
class_Rings_Oordered__cancel__semiring: $i > $o ).
tff(decl_121,type,
class_Rings_Oordered__semiring: $i > $o ).
tff(decl_122,type,
class_Rings_Oordered__comm__semiring: $i > $o ).
tff(decl_123,type,
class_Rings_Olinordered__ring__strict: $i > $o ).
tff(decl_124,type,
class_Rings_Olinordered__ring: $i > $o ).
tff(decl_125,type,
class_Rings_Olinordered__comm__semiring__strict: $i > $o ).
tff(decl_126,type,
class_Rings_Olinordered__semiring__strict: $i > $o ).
tff(decl_127,type,
class_Rings_Olinordered__semiring: $i > $o ).
tff(decl_128,type,
class_Rings_Ocomm__semiring__1: $i > $o ).
tff(decl_129,type,
class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct: $i > $o ).
tff(decl_130,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_131,type,
c_Int_Oring__1__class_OInts: $i > $i ).
tff(decl_132,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_133,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_134,type,
class_Power_Opower: $i > $o ).
tff(decl_135,type,
tc_Int_Oint: $i ).
tff(decl_136,type,
class_Rings_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_137,type,
class_Rings_Osemiring__0: $i > $o ).
tff(decl_138,type,
c_Power_Opower_Opower: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
c_Nat__Transfer_Otsub: ( $i * $i ) > $i ).
tff(decl_140,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_141,type,
tc_Limits_Onet: $i > $i ).
tff(decl_142,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_143,type,
esk1_2: ( $i * $i ) > $i ).
tff(decl_144,type,
esk2_0: $i ).
tff(decl_145,type,
esk3_0: $i ).
tff(decl_146,type,
esk4_0: $i ).
tff(decl_147,type,
esk5_3: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
esk6_1: $i > $i ).
tff(decl_149,type,
esk7_1: $i > $i ).
tff(decl_150,type,
esk8_0: $i ).
tff(decl_151,type,
esk9_0: $i ).
tff(decl_152,type,
esk10_1: $i > $i ).
tff(decl_153,type,
esk11_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_154,type,
esk12_3: ( $i * $i * $i ) > $i ).
tff(decl_155,type,
esk13_3: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
esk14_3: ( $i * $i * $i ) > $i ).
tff(decl_157,type,
esk15_3: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
esk16_3: ( $i * $i * $i ) > $i ).
tff(decl_159,type,
esk17_3: ( $i * $i * $i ) > $i ).
tff(decl_160,type,
esk18_3: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
esk19_3: ( $i * $i * $i ) > $i ).
tff(decl_162,type,
esk20_3: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
esk21_3: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
esk22_3: ( $i * $i * $i ) > $i ).
tff(decl_165,type,
esk23_3: ( $i * $i * $i ) > $i ).
tff(decl_166,type,
esk24_2: ( $i * $i ) > $i ).
tff(decl_167,type,
esk25_2: ( $i * $i ) > $i ).
tff(decl_168,type,
esk26_3: ( $i * $i * $i ) > $i ).
tff(decl_169,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_170,type,
esk28_2: ( $i * $i ) > $i ).
tff(decl_171,type,
esk29_2: ( $i * $i ) > $i ).
tff(decl_172,type,
esk30_2: ( $i * $i ) > $i ).
tff(decl_173,type,
esk31_2: ( $i * $i ) > $i ).
tff(decl_174,type,
esk32_1: $i > $i ).
tff(decl_175,type,
esk33_1: $i > $i ).
tff(decl_176,type,
esk34_3: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_178,type,
esk36_2: ( $i * $i ) > $i ).
tff(decl_179,type,
esk37_2: ( $i * $i ) > $i ).
tff(decl_180,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_181,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_182,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_183,type,
esk41_2: ( $i * $i ) > $i ).
tff(decl_184,type,
esk42_2: ( $i * $i ) > $i ).
tff(decl_185,type,
esk43_2: ( $i * $i ) > $i ).
tff(decl_186,type,
esk44_3: ( $i * $i * $i ) > $i ).
tff(decl_187,type,
esk45_3: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
esk46_3: ( $i * $i * $i ) > $i ).
tff(decl_189,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_190,type,
esk48_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_191,type,
esk49_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
esk50_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_193,type,
esk51_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
esk52_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_195,type,
esk53_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_196,type,
esk54_3: ( $i * $i * $i ) > $i ).
tff(decl_197,type,
esk55_3: ( $i * $i * $i ) > $i ).
tff(decl_198,type,
esk56_3: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
esk57_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_200,type,
esk58_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_201,type,
esk59_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_202,type,
esk60_3: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
esk61_3: ( $i * $i * $i ) > $i ).
tff(decl_204,type,
esk62_2: ( $i * $i ) > $i ).
tff(decl_205,type,
esk63_3: ( $i * $i * $i ) > $i ).
tff(decl_206,type,
esk64_3: ( $i * $i * $i ) > $i ).
tff(decl_207,type,
esk65_1: $i > $i ).
tff(decl_208,type,
esk66_2: ( $i * $i ) > $i ).
tff(decl_209,type,
esk67_2: ( $i * $i ) > $i ).
tff(decl_210,type,
esk68_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_211,type,
esk69_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_212,type,
esk70_2: ( $i * $i ) > $i ).
tff(decl_213,type,
esk71_2: ( $i * $i ) > $i ).
tff(decl_214,type,
esk72_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_215,type,
esk73_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_216,type,
esk74_2: ( $i * $i ) > $i ).
fof(conj_0,conjecture,
? [X4] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(fact_Collect__empty__eq,axiom,
! [X12,X7] :
( c_Set_OCollect(X7,X12) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X12,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__empty__eq) ).
fof(fact_Collect__def,axiom,
! [X12,X7] : c_Set_OCollect(X7,X12) = X12,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Collect__def) ).
fof(fact_isUb__UNIV__I,axiom,
! [X30,X10,X7] :
( class_Orderings_Oord(X7)
=> ( ! [X31] :
( c_member(X7,X31,X10)
=> c_Orderings_Oord__class_Oless__eq(X7,X31,X30) )
=> hBOOL(hAPP(c_Lubs_OisUb(X7,c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)),X10),X30)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_isUb__UNIV__I) ).
fof(fact_top__apply,axiom,
! [X6,X8,X7] :
( class_Orderings_Otop(X7)
=> hAPP(c_Orderings_Otop__class_Otop(tc_fun(X8,X7)),X6) = c_Orderings_Otop__class_Otop(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top__apply) ).
fof(fact_top1I,axiom,
! [X6,X7] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)),X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_top1I) ).
fof(fact_mem__def,axiom,
! [X14,X6,X7] :
( c_member(X7,X6,X14)
<=> hBOOL(hAPP(X14,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(arity_RealDef__Oreal__Orderings_Oord,axiom,
class_Orderings_Oord(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oord) ).
fof(arity_HOL__Obool__Orderings_Otop,axiom,
class_Orderings_Otop(tc_HOL_Obool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Otop) ).
fof(fact_Y,axiom,
! [X9] :
( hBOOL(hAPP(v_P,X9))
=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X9,v_Y____) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Y) ).
fof(fact_bot__apply,axiom,
! [X6,X8,X7] :
( class_Orderings_Obot(X7)
=> hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,X7)),X6) = c_Orderings_Obot__class_Obot(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_bot__apply) ).
fof(fact_UNIV__eq__I,axiom,
! [X14,X7] :
( ! [X3] : c_member(X7,X3,X14)
=> c_Orderings_Otop__class_Otop(tc_fun(X7,tc_HOL_Obool)) = X14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_UNIV__eq__I) ).
fof(fact_order__less__imp__le,axiom,
! [X20,X9,X7] :
( class_Orderings_Opreorder(X7)
=> ( c_Orderings_Oord__class_Oless(X7,X9,X20)
=> c_Orderings_Oord__class_Oless__eq(X7,X9,X20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_order__less__imp__le) ).
fof(arity_HOL__Obool__Orderings_Obot,axiom,
class_Orderings_Obot(tc_HOL_Obool),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_HOL__Obool__Orderings_Obot) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(c_0_15,negated_conjecture,
~ ? [X4] : hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X4)),
inference(assume_negation,[status(cth)],[conj_0]) ).
fof(c_0_16,plain,
! [X12,X7] :
( c_Set_OCollect(X7,X12) = c_Orderings_Obot__class_Obot(tc_fun(X7,tc_HOL_Obool))
<=> ! [X3] : ~ hBOOL(hAPP(X12,X3)) ),
inference(fof_simplification,[status(thm)],[fact_Collect__empty__eq]) ).
fof(c_0_17,negated_conjecture,
! [X3230] : ~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X3230)),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
fof(c_0_18,plain,
! [X111,X112] : c_Set_OCollect(X112,X111) = X111,
inference(variable_rename,[status(thm)],[fact_Collect__def]) ).
fof(c_0_19,plain,
! [X709,X710,X711,X712,X714] :
( ( c_Set_OCollect(X710,X709) != c_Orderings_Obot__class_Obot(tc_fun(X710,tc_HOL_Obool))
| ~ hBOOL(hAPP(X709,X711)) )
& ( hBOOL(hAPP(X712,esk33_1(X712)))
| c_Set_OCollect(X714,X712) = c_Orderings_Obot__class_Obot(tc_fun(X714,tc_HOL_Obool)) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])])]) ).
cnf(c_0_20,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),c_Set_OCollect(tc_RealDef_Oreal,v_P)),X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
c_Set_OCollect(X1,X2) = X2,
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,plain,
( hBOOL(hAPP(X1,esk33_1(X1)))
| c_Set_OCollect(X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_23,plain,
( c_Set_OCollect(X1,X2) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_24,plain,
! [X511,X512,X513] :
( ( c_member(X513,esk17_3(X511,X512,X513),X512)
| hBOOL(hAPP(c_Lubs_OisUb(X513,c_Orderings_Otop__class_Otop(tc_fun(X513,tc_HOL_Obool)),X512),X511))
| ~ class_Orderings_Oord(X513) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X513,esk17_3(X511,X512,X513),X511)
| hBOOL(hAPP(c_Lubs_OisUb(X513,c_Orderings_Otop__class_Otop(tc_fun(X513,tc_HOL_Obool)),X512),X511))
| ~ class_Orderings_Oord(X513) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_isUb__UNIV__I])])])]) ).
cnf(c_0_25,negated_conjecture,
~ hBOOL(hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P),X1)),
inference(rw,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( X1 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| hBOOL(hAPP(X1,esk33_1(X1))) ),
inference(rw,[status(thm)],[c_0_22,c_0_21]) ).
cnf(c_0_27,plain,
( X2 != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(rw,[status(thm)],[c_0_23,c_0_21]) ).
fof(c_0_28,plain,
! [X104,X105,X106] :
( ~ class_Orderings_Otop(X106)
| hAPP(c_Orderings_Otop__class_Otop(tc_fun(X105,X106)),X104) = c_Orderings_Otop__class_Otop(X106) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_top__apply])]) ).
fof(c_0_29,plain,
! [X102,X103] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X103,tc_HOL_Obool)),X102)),
inference(variable_rename,[status(thm)],[fact_top1I]) ).
fof(c_0_30,plain,
! [X147,X148,X149] :
( ( ~ c_member(X149,X148,X147)
| hBOOL(hAPP(X147,X148)) )
& ( ~ hBOOL(hAPP(X147,X148))
| c_member(X149,X148,X147) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mem__def])]) ).
cnf(c_0_31,plain,
( c_member(X1,esk17_3(X2,X3,X1),X3)
| hBOOL(hAPP(c_Lubs_OisUb(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X3),X2))
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_32,negated_conjecture,
c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P) = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_33,plain,
class_Orderings_Oord(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oord]) ).
cnf(c_0_34,plain,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(er,[status(thm)],[c_0_27]) ).
cnf(c_0_35,plain,
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X2,X1)),X3) = c_Orderings_Otop__class_Otop(X1)
| ~ class_Orderings_Otop(X1) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
class_Orderings_Otop(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Otop]) ).
cnf(c_0_37,plain,
hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2)),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_38,plain,
! [X107] :
( ~ hBOOL(hAPP(v_P,X107))
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X107,v_Y____) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Y])]) ).
cnf(c_0_39,plain,
( hBOOL(hAPP(X3,X2))
| ~ c_member(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_40,negated_conjecture,
c_member(tc_RealDef_Oreal,esk17_3(X1,v_P,tc_RealDef_Oreal),v_P),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33])]),c_0_34]) ).
fof(c_0_41,plain,
! [X682,X683,X684] :
( ~ class_Orderings_Obot(X684)
| hAPP(c_Orderings_Obot__class_Obot(tc_fun(X683,X684)),X682) = c_Orderings_Obot__class_Obot(X684) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_bot__apply])]) ).
fof(c_0_42,plain,
! [X806,X807] :
( ~ c_member(X807,esk47_2(X806,X807),X806)
| c_Orderings_Otop__class_Otop(tc_fun(X807,tc_HOL_Obool)) = X806 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_UNIV__eq__I])])]) ).
cnf(c_0_43,plain,
( c_member(X3,X2,X1)
| ~ hBOOL(hAPP(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_44,plain,
hAPP(c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X2) = c_Orderings_Otop__class_Otop(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_45,plain,
hBOOL(c_Orderings_Otop__class_Otop(tc_HOL_Obool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_35]),c_0_36])]) ).
fof(c_0_46,plain,
! [X408,X409,X410] :
( ~ class_Orderings_Opreorder(X410)
| ~ c_Orderings_Oord__class_Oless(X410,X409,X408)
| c_Orderings_Oord__class_Oless__eq(X410,X409,X408) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__le])]) ).
cnf(c_0_47,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,v_Y____)
| ~ hBOOL(hAPP(v_P,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,negated_conjecture,
hBOOL(hAPP(v_P,esk17_3(X1,v_P,tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,plain,
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,X1)),X3) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_41]) ).
cnf(c_0_50,plain,
class_Orderings_Obot(tc_HOL_Obool),
inference(split_conjunct,[status(thm)],[arity_HOL__Obool__Orderings_Obot]) ).
cnf(c_0_51,plain,
( c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = X2
| ~ c_member(X1,esk47_2(X2,X1),X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,plain,
c_member(X1,X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_HOL_Obool))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45])]) ).
cnf(c_0_53,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_54,negated_conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,esk17_3(X1,v_P,tc_RealDef_Oreal),v_Y____),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(c_0_56,negated_conjecture,
hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(tc_RealDef_Oreal,tc_HOL_Obool)),v_P),X1) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_32]),c_0_50])]) ).
cnf(c_0_57,plain,
c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_HOL_Obool)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,plain,
( hBOOL(hAPP(c_Lubs_OisUb(X1,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),X3),X2))
| ~ c_Orderings_Oord__class_Oless__eq(X1,esk17_3(X2,X3,X1),X2)
| ~ class_Orderings_Oord(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_59,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,esk17_3(X1,v_P,tc_RealDef_Oreal),v_Y____),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
hAPP(c_Lubs_OisUb(tc_RealDef_Oreal,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_HOL_Obool)),v_P),X2) = c_Orderings_Obot__class_Obot(tc_HOL_Obool),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_61,plain,
~ hBOOL(c_Orderings_Obot__class_Obot(tc_HOL_Obool)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_49]),c_0_50])]) ).
cnf(c_0_62,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60]),c_0_33])]),c_0_61]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWW190+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 20:00:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 24.72/24.88 % Version : CSE_E---1.5
% 24.72/24.88 % Problem : theBenchmark.p
% 24.72/24.88 % Proof found
% 24.72/24.88 % SZS status Theorem for theBenchmark.p
% 24.72/24.88 % SZS output start Proof
% See solution above
% 24.72/24.89 % Total time : 24.184000 s
% 24.72/24.89 % SZS output end Proof
% 24.72/24.89 % Total time : 24.224000 s
%------------------------------------------------------------------------------