TSTP Solution File: SWV687-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV687-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 : Thu Aug 31 21:47:45 EDT 2023
% Result : Unsatisfiable 185.95s 185.97s
% Output : CNFRefutation 185.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 124
% Syntax : Number of formulae : 134 ( 13 unt; 119 typ; 0 def)
% Number of atoms : 17 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 6 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 169 ( 111 >; 58 *; 0 +; 0 <<)
% Number of predicates : 85 ( 83 usr; 1 prp; 0-5 aty)
% Number of functors : 36 ( 36 usr; 8 con; 0-6 aty)
% Number of variables : 55 ( 30 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_23,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_24,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_25,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_26,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_27,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_28,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_29,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_30,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_31,type,
c_HOL_Oinverse__class_Oinverse: $i > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i ) > $i ).
tff(decl_33,type,
hBOOL: $i > $o ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i ) > $i ).
tff(decl_35,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_36,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_37,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_38,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_39,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_40,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_41,type,
c_HOL_Oabs__class_Oabs: $i > $i ).
tff(decl_42,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_43,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_44,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_45,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_46,type,
c_COMBB: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Lim_OLIM: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_48,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_49,type,
c_Lim_OisCont: ( $i * $i * $i * $i ) > $o ).
tff(decl_50,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_53,type,
c_Suc: $i ).
tff(decl_54,type,
tc_nat: $i ).
tff(decl_55,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_57,type,
c_HOL_Ominus__class_Ominus: $i > $i ).
tff(decl_58,type,
c_HOL_Otimes__class_Otimes: $i > $i ).
tff(decl_59,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff(decl_60,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_61,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_62,type,
c_Power_Opower__class_Opower: $i > $i ).
tff(decl_63,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_64,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_65,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_66,type,
class_Int_Onumber: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_68,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_69,type,
c_SEQ_OLIMSEQ: ( $i * $i * $i ) > $o ).
tff(decl_70,type,
c_SEQ_OCauchy: ( $i * $i ) > $o ).
tff(decl_71,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_72,type,
c_Deriv_Odifferentiable: ( $i * $i * $i ) > $o ).
tff(decl_73,type,
c_Limits_Otendsto: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_74,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_76,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_77,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_79,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_80,type,
c_Deriv_Oderiv: ( $i * $i * $i * $i ) > $o ).
tff(decl_81,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_82,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_83,type,
c_Series_Osuminf: ( $i * $i ) > $i ).
tff(decl_84,type,
c_Series_Osummable: ( $i * $i ) > $o ).
tff(decl_85,type,
c_HOL_Oinverse__class_Odivide: $i > $i ).
tff(decl_86,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_87,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_88,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_89,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_90,type,
c_Finite__Set_Osetsum: ( $i * $i ) > $i ).
tff(decl_91,type,
c_SetInterval_Oord__class_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_93,type,
c_Nat_Osemiring__1__class_Oof__nat: $i > $i ).
tff(decl_94,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_95,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_96,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_97,type,
c_Series_Osums: ( $i * $i * $i ) > $o ).
tff(decl_98,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_99,type,
c_SEQ_OZseq: ( $i * $i ) > $o ).
tff(decl_100,type,
c_COMBC: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
class_HOL_Oord: $i > $o ).
tff(decl_102,type,
c_List_Osko__SetInterval__Xsetsum__ivl__cong__1__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
v_n: $i ).
tff(decl_104,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_105,type,
tc_Complex_Ocomplex: $i ).
tff(decl_106,type,
c_FFT__Mirabelle_Oroot: $i > $i ).
tff(decl_107,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_108,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_109,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_110,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_111,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_113,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_115,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_116,type,
class_Power_Opower: $i > $o ).
tff(decl_117,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_118,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_119,type,
v_i: $i ).
tff(decl_120,type,
c_HOL_OIf: $i > $i ).
tff(decl_121,type,
tc_bool: $i ).
tff(decl_122,type,
c_fequal: ( $i * $i ) > $i ).
tff(decl_123,type,
c_Transcendental_Osko__Transcendental__Xreal__setsum__nat__ivl__bounded2__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
c_FFT__Mirabelle_ODFT: ( $i * $i * $i ) > $i ).
tff(decl_125,type,
c_FFT__Mirabelle_OIDFT: ( $i * $i * $i ) > $i ).
tff(decl_126,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_127,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_128,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_129,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_130,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_131,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_132,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_133,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_134,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_135,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_136,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_137,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_138,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_139,type,
v_a: $i ).
tff(decl_140,type,
tc_Int_Oint: $i ).
cnf(cls_COMBB__def_0,axiom,
hAPP(hAPP(c_COMBB(X1,X2,X3,X4),X5),X6) = hAPP(X1,hAPP(X5,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBS__def_0) ).
cnf(cls_n__not__Suc__n_0,axiom,
X1 != hAPP(c_Suc,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_n__not__Suc__n_0) ).
cnf(cls_class__semiring_Omul__1_0,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oone__class_Oone(X1)),X2) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_class__semiring_Omul__1_0) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1) ).
cnf(c_0_5,axiom,
hAPP(hAPP(c_COMBB(X1,X2,X3,X4),X5),X6) = hAPP(X1,hAPP(X5,X6)),
cls_COMBB__def_0 ).
cnf(c_0_6,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_7,axiom,
X1 != hAPP(c_Suc,X1),
cls_n__not__Suc__n_0 ).
cnf(c_0_8,plain,
hAPP(c_COMBS(c_COMBB(X1,X2,X3,X4),X5,X6,X7,X8),X9) = hAPP(X1,hAPP(X9,hAPP(X5,X9))),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,axiom,
( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Oone__class_Oone(X1)),X2) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
cls_class__semiring_Omul__1_0 ).
cnf(c_0_10,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_11,plain,
hAPP(c_COMBS(c_COMBB(c_Suc,X1,X2,X3),X4,X5,X6,X7),X8) != hAPP(X8,hAPP(X4,X8)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,plain,
hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint)),X1) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
hAPP(c_COMBS(c_COMBB(c_Suc,X1,X2,X3),hAPP(c_HOL_Otimes__class_Otimes(tc_Int_Oint),c_HOL_Oone__class_Oone(tc_Int_Oint)),X4,X5,X6),X7) != hAPP(X7,X7),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
$false,
inference(er,[status(thm)],[c_0_13]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV687-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 08:52:20 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.44/0.57 start to proof: theBenchmark
% 185.95/185.97 % Version : CSE_E---1.5
% 185.95/185.97 % Problem : theBenchmark.p
% 185.95/185.97 % Proof found
% 185.95/185.97 % SZS status Theorem for theBenchmark.p
% 185.95/185.97 % SZS output start Proof
% See solution above
% 185.95/185.97 % Total time : 185.367000 s
% 185.95/185.97 % SZS output end Proof
% 185.95/185.97 % Total time : 185.406000 s
%------------------------------------------------------------------------------