TSTP Solution File: SWV594-1 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV594-1 : 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 : n024.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 21:47:26 EDT 2023

% Result   : Unsatisfiable 0.57s 0.75s
% Output   : CNFRefutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :  124
% Syntax   : Number of formulae    :  130 (   9 unt; 119 typ;   0 def)
%            Number of atoms       :   15 (   2 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  154 ( 114   >;  40   *;   0   +;   0  <<)
%            Number of predicates  :   86 (  84 usr;   1 prp; 0-3 aty)
%            Number of functors    :   35 (  35 usr;   5 con; 0-3 aty)
%            Number of variables   :    4 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    class_Divides_Osemiring__div: $i > $o ).

tff(decl_23,type,
    c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).

tff(decl_24,type,
    c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).

tff(decl_25,type,
    c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).

tff(decl_26,type,
    c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).

tff(decl_27,type,
    class_Ring__and__Field_Odvd: $i > $o ).

tff(decl_28,type,
    class_Ring__and__Field_Ocomm__ring: $i > $o ).

tff(decl_29,type,
    c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).

tff(decl_30,type,
    c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).

tff(decl_31,type,
    class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).

tff(decl_32,type,
    c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).

tff(decl_33,type,
    class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).

tff(decl_34,type,
    class_OrderedGroup_Opordered__ab__group__add: $i > $o ).

tff(decl_35,type,
    c_lessequals: ( $i * $i * $i ) > $o ).

tff(decl_36,type,
    c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).

tff(decl_37,type,
    class_RealVector_Oreal__algebra__1: $i > $o ).

tff(decl_38,type,
    tc_RealDef_Oreal: $i ).

tff(decl_39,type,
    c_RealVector_Oof__real: ( $i * $i ) > $i ).

tff(decl_40,type,
    class_Ring__and__Field_Odivision__ring: $i > $o ).

tff(decl_41,type,
    class_Ring__and__Field_Odivision__by__zero: $i > $o ).

tff(decl_42,type,
    c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).

tff(decl_43,type,
    class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).

tff(decl_44,type,
    c_HOL_Ozero__class_Ozero: $i > $i ).

tff(decl_45,type,
    class_RealVector_Osgn__div__norm: $i > $o ).

tff(decl_46,type,
    c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).

tff(decl_47,type,
    c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).

tff(decl_48,type,
    c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).

tff(decl_49,type,
    class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).

tff(decl_50,type,
    class_Ring__and__Field_Oordered__field: $i > $o ).

tff(decl_51,type,
    c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).

tff(decl_52,type,
    class_RealVector_Ometric__space: $i > $o ).

tff(decl_53,type,
    c_RealVector_Odist__class_Odist: ( $i * $i * $i ) > $i ).

tff(decl_54,type,
    class_Lattices_Oupper__semilattice: $i > $o ).

tff(decl_55,type,
    c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).

tff(decl_56,type,
    c_HOL_Oone__class_Oone: $i > $i ).

tff(decl_57,type,
    class_RealVector_Oreal__vector: $i > $o ).

tff(decl_58,type,
    class_Ring__and__Field_Oordered__ring__strict: $i > $o ).

tff(decl_59,type,
    class_Ring__and__Field_Oidom: $i > $o ).

tff(decl_60,type,
    class_Int_Onumber__ring: $i > $o ).

tff(decl_61,type,
    class_OrderedGroup_Olordered__ab__group__add: $i > $o ).

tff(decl_62,type,
    c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).

tff(decl_63,type,
    c_OrderedGroup_Olordered__ab__group__add__class_Onprt: ( $i * $i ) > $i ).

tff(decl_64,type,
    c_Log_Opowr: ( $i * $i ) > $i ).

tff(decl_65,type,
    class_Orderings_Olinorder: $i > $o ).

tff(decl_66,type,
    c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).

tff(decl_67,type,
    class_Ring__and__Field_Opordered__ring: $i > $o ).

tff(decl_68,type,
    class_Ring__and__Field_Omult__mono: $i > $o ).

tff(decl_69,type,
    class_Ring__and__Field_Omult__mono1: $i > $o ).

tff(decl_70,type,
    class_Ring__and__Field_Ofield: $i > $o ).

tff(decl_71,type,
    class_Ring__and__Field_Oordered__semidom: $i > $o ).

tff(decl_72,type,
    class_RealVector_Oreal__normed__field: $i > $o ).

tff(decl_73,type,
    class_RealVector_Oreal__normed__vector: $i > $o ).

tff(decl_74,type,
    c_NthRoot_Osqrt: $i > $i ).

tff(decl_75,type,
    class_RealVector_Oreal__div__algebra: $i > $o ).

tff(decl_76,type,
    class_Lattices_Odistrib__lattice: $i > $o ).

tff(decl_77,type,
    c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).

tff(decl_78,type,
    class_OrderedGroup_Ogroup__add: $i > $o ).

tff(decl_79,type,
    class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).

tff(decl_80,type,
    c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).

tff(decl_81,type,
    c_Transcendental_Ocos: $i > $i ).

tff(decl_82,type,
    class_Ring__and__Field_Oordered__idom: $i > $o ).

tff(decl_83,type,
    class_Lattices_Olower__semilattice: $i > $o ).

tff(decl_84,type,
    class_Lattices_Olattice: $i > $o ).

tff(decl_85,type,
    class_Orderings_Oorder: $i > $o ).

tff(decl_86,type,
    class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).

tff(decl_87,type,
    class_RealVector_Oreal__normed__algebra: $i > $o ).

tff(decl_88,type,
    class_Divides_Oring__div: $i > $o ).

tff(decl_89,type,
    class_OrderedGroup_Oab__semigroup__mult: $i > $o ).

tff(decl_90,type,
    class_Ring__and__Field_Ocomm__semiring: $i > $o ).

tff(decl_91,type,
    c_Transcendental_Otan: $i > $i ).

tff(decl_92,type,
    c_Transcendental_Osin: $i > $i ).

tff(decl_93,type,
    class_Ring__and__Field_Oring: $i > $o ).

tff(decl_94,type,
    class_Ring__and__Field_Opordered__semiring: $i > $o ).

tff(decl_95,type,
    c_NthRoot_Oroot: ( $i * $i ) > $i ).

tff(decl_96,type,
    class_Lattices_Oboolean__algebra: $i > $o ).

tff(decl_97,type,
    class_Ring__and__Field_Opordered__ring__abs: $i > $o ).

tff(decl_98,type,
    class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).

tff(decl_99,type,
    class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).

tff(decl_100,type,
    c_Transcendental_Opi: $i ).

tff(decl_101,type,
    class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).

tff(decl_102,type,
    class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).

tff(decl_103,type,
    class_Ring__and__Field_Osgn__if: $i > $o ).

tff(decl_104,type,
    c_Transcendental_Oarctan: $i > $i ).

tff(decl_105,type,
    class_OrderedGroup_Oab__group__add: $i > $o ).

tff(decl_106,type,
    class_Ring__and__Field_Ocomm__ring__1: $i > $o ).

tff(decl_107,type,
    class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).

tff(decl_108,type,
    class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).

tff(decl_109,type,
    class_RealVector_Oreal__normed__div__algebra: $i > $o ).

tff(decl_110,type,
    class_RealVector_Oreal__normed__algebra__1: $i > $o ).

tff(decl_111,type,
    class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).

tff(decl_112,type,
    class_Ring__and__Field_Oabs__if: $i > $o ).

tff(decl_113,type,
    class_Ring__and__Field_Oordered__semiring: $i > $o ).

tff(decl_114,type,
    class_OrderedGroup_Ocomm__monoid__add: $i > $o ).

tff(decl_115,type,
    class_Ring__and__Field_Olordered__ring: $i > $o ).

tff(decl_116,type,
    class_SEQ_Obanach: $i > $o ).

tff(decl_117,type,
    c_Transcendental_Oexp: ( $i * $i ) > $i ).

tff(decl_118,type,
    class_OrderedGroup_Omonoid__mult: $i > $o ).

tff(decl_119,type,
    class_RealVector_Oreal__algebra: $i > $o ).

tff(decl_120,type,
    class_RealVector_Oreal__field: $i > $o ).

tff(decl_121,type,
    class_OrderedGroup_Oordered__ab__group__add: $i > $o ).

tff(decl_122,type,
    class_Ring__and__Field_Oring__1: $i > $o ).

tff(decl_123,type,
    class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).

tff(decl_124,type,
    class_Orderings_Opreorder: $i > $o ).

tff(decl_125,type,
    class_OrderedGroup_Oab__semigroup__add: $i > $o ).

tff(decl_126,type,
    class_Ring__and__Field_Osemiring: $i > $o ).

tff(decl_127,type,
    class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).

tff(decl_128,type,
    class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).

tff(decl_129,type,
    c_Fun_Oid: ( $i * $i ) > $i ).

tff(decl_130,type,
    class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).

tff(decl_131,type,
    class_Ring__and__Field_Omult__zero: $i > $o ).

tff(decl_132,type,
    class_RealVector_Odist__norm: $i > $o ).

tff(decl_133,type,
    class_Ring__and__Field_Ozero__neq__one: $i > $o ).

tff(decl_134,type,
    class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).

tff(decl_135,type,
    class_Ring__and__Field_Ono__zero__divisors: $i > $o ).

tff(decl_136,type,
    class_Power_Opower: $i > $o ).

tff(decl_137,type,
    class_OrderedGroup_Omonoid__add: $i > $o ).

tff(decl_138,type,
    t_a: $i ).

tff(decl_139,type,
    v_x: $i ).

tff(decl_140,type,
    tc_nat: $i ).

cnf(cls_sin__gt__zero__pi_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sin__gt__zero__pi_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_0_0,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_0_0) ).

cnf(cls_CHAINED_0,axiom,
    c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0) ).

cnf(cls_real__less__def_1,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).

cnf(c_0_5,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
    cls_sin__gt__zero__pi_0 ).

cnf(c_0_6,negated_conjecture,
    c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    cls_conjecture_0 ).

cnf(c_0_7,axiom,
    c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_x,tc_RealDef_Oreal),
    cls_0_0 ).

cnf(c_0_8,axiom,
    c_HOL_Oord__class_Oless(v_x,c_Transcendental_Opi,tc_RealDef_Oreal),
    cls_CHAINED_0 ).

cnf(c_0_9,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
    cls_real__less__def_1 ).

cnf(c_0_10,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_5,c_0_6]),c_0_7]),c_0_8])]),c_0_9]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SWV594-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n024.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   : Tue Aug 29 10:21:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 0.57/0.75  % Version  : CSE_E---1.5
% 0.57/0.75  % Problem  : theBenchmark.p
% 0.57/0.75  % Proof found
% 0.57/0.75  % SZS status Theorem for theBenchmark.p
% 0.57/0.75  % SZS output start Proof
% See solution above
% 0.57/0.75  % Total time : 0.137000 s
% 0.57/0.76  % SZS output end Proof
% 0.57/0.76  % Total time : 0.172000 s
%------------------------------------------------------------------------------