TSTP Solution File: ALG361-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG361-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n025.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 : Wed Aug 30 16:07:28 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 95
% Syntax : Number of formulae : 101 ( 7 unt; 91 typ; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 139 ( 81 >; 58 *; 0 +; 0 <<)
% Number of predicates : 64 ( 63 usr; 2 prp; 0-5 aty)
% Number of functors : 28 ( 28 usr; 9 con; 0-5 aty)
% Number of variables : 3 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_23,type,
c_HOL_Otimes__class_Otimes: ( $i * $i ) > $i ).
tff(decl_24,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_25,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_27,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_28,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_29,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
c_HOL_Oabs__class_Oabs: $i > $i ).
tff(decl_31,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_32,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_33,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_34,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_35,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(decl_36,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_37,type,
c_RealVector_Oof__real: $i > $i ).
tff(decl_38,type,
tc_RealDef_Oreal: $i ).
tff(decl_39,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Lim_OLIM: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_41,type,
c_Fun_Ocomp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Set_Oimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i ) > $i ).
tff(decl_44,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_45,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_46,type,
c_RealVector_Obounded__linear: ( $i * $i * $i ) > $o ).
tff(decl_47,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_48,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_55,type,
c_RealVector_Onorm__class_Onorm: $i > $i ).
tff(decl_56,type,
c_Complex_OIm: $i ).
tff(decl_57,type,
tc_Complex_Ocomplex: $i ).
tff(decl_58,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(decl_59,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_60,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(decl_61,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(decl_62,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_63,type,
c_Lim_OisCont: ( $i * $i * $i * $i ) > $o ).
tff(decl_64,type,
tc_nat: $i ).
tff(decl_65,type,
c_SEQ_OLIMSEQ: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_67,type,
c_Lim_OisUCont: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_69,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_71,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_72,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_73,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_74,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_77,type,
c_Complex_Ocnj: $i ).
tff(decl_78,type,
c_Complex_ORe: $i ).
tff(decl_79,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_80,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_82,type,
class_SEQ_Obanach: $i > $o ).
tff(decl_83,type,
c_Series_Osummable: ( $i * $i ) > $o ).
tff(decl_84,type,
c_Series_Osko__Series__Xsummable__comparison__test__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_85,type,
c_SEQ_Omonoseq: $i > $o ).
tff(decl_86,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_87,type,
c_Limits_OZfun: ( $i * $i * $i * $i ) > $o ).
tff(decl_88,type,
c_Limits_Otendsto: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_89,type,
c_SEQ_OZseq: ( $i * $i ) > $o ).
tff(decl_90,type,
c_Series_Osums: ( $i * $i * $i ) > $o ).
tff(decl_91,type,
c_SEQ_OCauchy: ( $i * $i ) > $o ).
tff(decl_92,type,
c_Series_Osuminf: ( $i * $i ) > $i ).
tff(decl_93,type,
c_SEQ_Osubseq: $i > $o ).
tff(decl_94,type,
c_SEQ_Oincseq: $i > $o ).
tff(decl_95,type,
c_SEQ_Odecseq: $i > $o ).
tff(decl_96,type,
c_SEQ_Osko__SEQ__Xseq__monosub__1__1: $i > $i ).
tff(decl_97,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_98,type,
c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
v_z: $i ).
tff(decl_100,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_101,type,
c_Deriv_Odifferentiable: ( $i * $i * $i ) > $o ).
tff(decl_102,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_103,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_104,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_105,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_106,type,
hBOOL: $i > $o ).
tff(decl_107,type,
v_thesis____: $o ).
tff(decl_108,type,
v_s: $i ).
tff(decl_109,type,
v_sko__CHAINED__1: $i > $i ).
tff(decl_110,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_111,type,
tc_bool: $i ).
tff(decl_112,type,
c_fequal: ( $i * $i * $i ) > $o ).
cnf(cls_that_0,axiom,
( v_thesis____
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_that_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_1,axiom,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
cnf(cls_CHAINED_0,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(c_0_4,axiom,
( v_thesis____
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
| ~ c_SEQ_Osubseq(X1) ),
cls_that_0 ).
cnf(c_0_5,negated_conjecture,
~ v_thesis____,
cls_conjecture_0 ).
cnf(c_0_6,plain,
( ~ c_SEQ_Osubseq(X1)
| ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
inference(sr,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
cls_CHAINED_1 ).
cnf(c_0_8,axiom,
c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
cls_CHAINED_0 ).
cnf(c_0_9,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG361-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 05:57:39 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.63 % Total time : 0.027000 s
% 0.19/0.63 % SZS output end Proof
% 0.19/0.63 % Total time : 0.037000 s
%------------------------------------------------------------------------------