TSTP Solution File: SWV598-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV598-1 : 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 : n008.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 21:47:27 EDT 2023
% Result : Unsatisfiable 2.20s 2.26s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 146
% Syntax : Number of formulae : 179 ( 34 unt; 125 typ; 0 def)
% Number of atoms : 88 ( 41 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 74 ( 40 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 158 ( 117 >; 41 *; 0 +; 0 <<)
% Number of predicates : 80 ( 78 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 8 con; 0-3 aty)
% Number of variables : 50 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_23,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_27,type,
tc_RealDef_Oreal: $i ).
tff(decl_28,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_29,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_31,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_32,type,
class_RealVector_Ometric__space: $i > $o ).
tff(decl_33,type,
c_RealVector_Odist__class_Odist: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_36,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_37,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_39,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_40,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_41,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_42,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_43,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_44,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_45,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_46,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_48,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_49,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_50,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_51,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_55,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_57,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_58,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_NthRoot_Osqrt: $i > $i ).
tff(decl_60,type,
class_RealVector_Oreal__div__algebra: $i > $o ).
tff(decl_61,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_62,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Log_Olog: ( $i * $i ) > $i ).
tff(decl_64,type,
c_Transcendental_Oexp: ( $i * $i ) > $i ).
tff(decl_65,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_66,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_67,type,
c_Complex_Ocomplex_OComplex: ( $i * $i ) > $i ).
tff(decl_68,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_71,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_72,type,
c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).
tff(decl_73,type,
c_OrderedGroup_Olordered__ab__group__add__class_Onprt: ( $i * $i ) > $i ).
tff(decl_74,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_75,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_77,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_78,type,
tc_Complex_Ocomplex: $i ).
tff(decl_79,type,
class_RealVector_Osgn__div__norm: $i > $o ).
tff(decl_80,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_81,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(decl_83,type,
c_Transcendental_Otan: $i > $i ).
tff(decl_84,type,
c_Transcendental_Ocos: $i > $i ).
tff(decl_85,type,
c_Log_Opowr: ( $i * $i ) > $i ).
tff(decl_86,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_87,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_88,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(decl_89,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_90,type,
c_Transcendental_Opi: $i ).
tff(decl_91,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_92,type,
class_SEQ_Obanach: $i > $o ).
tff(decl_93,type,
c_Transcendental_Oln: $i > $i ).
tff(decl_94,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_95,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_96,type,
c_Ring__and__Field_Ozero__neq__one: ( $i * $i * $i ) > $o ).
tff(decl_97,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_98,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_99,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_100,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_101,type,
c_Transcendental_Osko__Transcendental__Xlemma__exp__total__1__1: $i > $i ).
tff(decl_102,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_103,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_104,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_105,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_106,type,
c_Complex_Oii: $i ).
tff(decl_107,type,
c_Transcendental_Osin: $i > $i ).
tff(decl_108,type,
c_Transcendental_Oarctan: $i > $i ).
tff(decl_109,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_110,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_111,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_112,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(decl_113,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_114,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_115,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_116,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_117,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_118,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_119,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_120,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(decl_121,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_122,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_123,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(decl_124,type,
c_Complex_Oarg: $i > $i ).
tff(decl_125,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_126,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_127,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_128,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_129,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
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,
c_Complex_Ocis: $i > $i ).
tff(decl_133,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_134,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_135,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_136,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_137,type,
c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1: $i ).
tff(decl_138,type,
class_RealVector_Odist__norm: $i > $o ).
tff(decl_139,type,
c_RealDef_Osko__RealDef__Xreal__mult__inverse__left__ex__1__1: $i > $i ).
tff(decl_140,type,
t_a: $i ).
tff(decl_141,type,
v_x: $i ).
tff(decl_142,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_143,type,
c_Int_OPls: $i ).
tff(decl_144,type,
c_Int_OBit1: $i > $i ).
tff(decl_145,type,
c_Int_OBit0: $i > $i ).
tff(decl_146,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
cnf(cls_real__add__eq__0__iff_1,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__add__eq__0__iff_1) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
cnf(cls_less__eqI_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_less__eqI_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
cnf(cls_real__less__def_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__less__def_1) ).
cnf(cls_group__add__class_Odiff__0_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_group__add__class_Odiff__0_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
cnf(cls_sin__minus_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sin__minus_0) ).
cnf(cls_sin__periodic__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_sin__periodic__pi_0) ).
cnf(cls_CHAINED_0_02,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
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/sandbox/benchmark/theBenchmark.p',cls_sin__gt__zero__pi_0) ).
cnf(cls_linorder__neqE__ordered__idom_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_linorder__neqE__ordered__idom_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
cnf(cls_cos__one__sin__zero_0,axiom,
( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cos__one__sin__zero_0) ).
cnf(cls_cos__minus_0,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cos__minus_0) ).
cnf(cls_CHAINED_0_03,axiom,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| v_x != c_Transcendental_Opi ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
cnf(cls_conjecture_1,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
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/sandbox/benchmark/theBenchmark.p',cls_0_0) ).
cnf(c_0_21,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__add__eq__0__iff_1 ).
cnf(c_0_22,axiom,
c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__diff__def_0 ).
cnf(c_0_23,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| c_HOL_Ominus__class_Ominus(X2,X3,X1) != c_HOL_Ominus__class_Ominus(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1) ),
cls_less__eqI_0 ).
cnf(c_0_24,plain,
c_HOL_Ominus__class_Ominus(X1,X1,tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add ).
cnf(c_0_26,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
cls_real__less__def_1 ).
cnf(c_0_27,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),c_0_26]) ).
cnf(c_0_28,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ouminus__class_Ouminus(X2,X1)
| ~ class_OrderedGroup_Ogroup__add(X1) ),
cls_group__add__class_Odiff__0_0 ).
cnf(c_0_29,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add ).
cnf(c_0_30,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__minus_0 ).
cnf(c_0_31,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
cls_sin__periodic__pi_0 ).
cnf(c_0_32,axiom,
( c_Transcendental_Osin(v_x) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
cls_CHAINED_0_02 ).
cnf(c_0_33,negated_conjecture,
c_Transcendental_Osin(v_x) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_34,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0 ).
cnf(c_0_35,axiom,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_CHAINED_0 ).
cnf(c_0_36,plain,
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_37,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_38,axiom,
( c_HOL_Oord__class_Oless(X2,X3,X1)
| c_HOL_Oord__class_Oless(X3,X2,X1)
| X3 = X2
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
cls_linorder__neqE__ordered__idom_0 ).
cnf(c_0_39,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom ).
cnf(c_0_40,axiom,
( c_Transcendental_Osin(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
cls_cos__one__sin__zero_0 ).
cnf(c_0_41,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
cls_cos__minus_0 ).
cnf(c_0_42,plain,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)),
inference(rw,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_43,plain,
( ~ c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_34])]) ).
cnf(c_0_44,plain,
c_HOL_Oord__class_Oless(v_x,c_HOL_Otimes__class_Otimes(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_35,c_0_34]) ).
cnf(c_0_45,axiom,
( c_Transcendental_Ocos(v_x) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal)
| v_x != c_Transcendental_Opi ),
cls_CHAINED_0_03 ).
cnf(c_0_46,negated_conjecture,
c_Transcendental_Ocos(v_x) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_47,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_48,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| X1 = c_Transcendental_Opi
| c_HOL_Oord__class_Oless(c_Transcendental_Opi,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39])]) ).
cnf(c_0_49,plain,
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_42]) ).
cnf(c_0_50,plain,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,v_x,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]) ).
cnf(c_0_51,plain,
v_x != c_Transcendental_Opi,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46])]) ).
cnf(c_0_52,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_53,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_47,c_0_48,c_0_49,c_0_50,c_0_51,c_0_52,c_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV598-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 05:08:17 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 2.20/2.26 % Version : CSE_E---1.5
% 2.20/2.26 % Problem : theBenchmark.p
% 2.20/2.26 % Proof found
% 2.20/2.26 % SZS status Theorem for theBenchmark.p
% 2.20/2.26 % SZS output start Proof
% See solution above
% 2.23/2.27 % Total time : 1.653000 s
% 2.23/2.27 % SZS output end Proof
% 2.23/2.27 % Total time : 1.691000 s
%------------------------------------------------------------------------------