TSTP Solution File: ALG439-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG439-1 : 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 : n011.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 16:07:46 EDT 2023
% Result : Unsatisfiable 0.70s 0.76s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 118
% Syntax : Number of formulae : 123 ( 4 unt; 115 typ; 0 def)
% Number of atoms : 12 ( 11 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 4 ~; 4 |; 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 ( 107 >; 62 *; 0 +; 0 <<)
% Number of predicates : 71 ( 69 usr; 1 prp; 0-5 aty)
% Number of functors : 46 ( 46 usr; 8 con; 0-4 aty)
% Number of variables : 4 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_23,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_24,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_26,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_27,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_28,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_29,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_32,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_34,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_35,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_36,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_37,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_38,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_40,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_41,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_42,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_43,type,
c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).
tff(decl_44,type,
c_OrderedGroup_Olordered__ab__group__add__class_Onprt: ( $i * $i ) > $i ).
tff(decl_45,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_46,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_47,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_48,type,
c_Suc: $i > $i ).
tff(decl_49,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_51,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_52,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_53,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_55,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__1: $i > $i ).
tff(decl_56,type,
tc_Complex_Ocomplex: $i ).
tff(decl_57,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xfundamental__theorem__of__algebra__alt__2: $i > $i ).
tff(decl_58,type,
c_Polynomial_Opoly: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_60,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_62,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_63,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_64,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_65,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_66,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_67,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_68,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_69,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_71,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_Polynomial_Ocoeff: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_74,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_75,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_76,type,
tc_RealDef_Oreal: $i ).
tff(decl_77,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_79,type,
c_Polynomial_Opdivmod: ( $i * $i * $i ) > $i ).
tff(decl_80,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(decl_81,type,
tc_nat: $i ).
tff(decl_82,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_84,type,
c_Polynomial_Opoly__gcd: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_86,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_87,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_88,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_89,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_91,type,
class_HOL_Ozero: $i > $o ).
tff(decl_92,type,
class_HOL_Oeq: $i > $o ).
tff(decl_93,type,
c_HOL_Oeq__class_Oeq: ( $i * $i * $i ) > $o ).
tff(decl_94,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_95,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_97,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_100,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(decl_101,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_102,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_103,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_104,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_105,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_106,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_107,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_108,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_109,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_111,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_112,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_114,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_115,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_116,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_117,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_118,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_119,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_120,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_121,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_122,type,
c_Polynomial_Osynthetic__divmod: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_124,type,
t_a: $i ).
tff(decl_125,type,
v_x: $i ).
tff(decl_126,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv__2b__1: $i > $i ).
tff(decl_127,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1: ( $i * $i * $i ) > $i ).
tff(decl_128,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv2__1: ( $i * $i * $i ) > $i ).
tff(decl_129,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2: $i > $i ).
tff(decl_130,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__4__1: $i ).
tff(decl_131,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__3__1: $i > $i ).
tff(decl_132,type,
v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xbasic__cqe__conv1__5__1: $i > $i ).
tff(decl_133,type,
v_c: $i ).
tff(decl_134,type,
v_y: $i ).
tff(decl_135,type,
class_OrderedGroup_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_136,type,
tc_prod: ( $i * $i ) > $i ).
cnf(cls_conjecture_1,negated_conjecture,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y
| v_c = v_y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_mpoly__base__conv_I2_J_0,axiom,
X1 = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mpoly__base__conv_I2_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_3,negated_conjecture,
( c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) = v_y
| v_c = v_y ),
cls_conjecture_1 ).
cnf(c_0_4,axiom,
X1 = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),
cls_mpoly__base__conv_I2_J_0 ).
cnf(c_0_5,negated_conjecture,
( v_c != v_y
| c_Polynomial_Opoly(c_Polynomial_OpCons(v_c,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),tc_Complex_Ocomplex),v_x,tc_Complex_Ocomplex) != v_y ),
cls_conjecture_0 ).
cnf(c_0_6,negated_conjecture,
v_c = v_y,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4])]) ).
cnf(c_0_7,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_4])]),c_0_6])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG439-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n011.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 28 03:03:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 0.70/0.76 % Version : CSE_E---1.5
% 0.70/0.76 % Problem : theBenchmark.p
% 0.70/0.76 % Proof found
% 0.70/0.76 % SZS status Theorem for theBenchmark.p
% 0.70/0.76 % SZS output start Proof
% See solution above
% 0.70/0.77 % Total time : 0.171000 s
% 0.70/0.77 % SZS output end Proof
% 0.70/0.77 % Total time : 0.196000 s
%------------------------------------------------------------------------------