TSTP Solution File: ALG391-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG391-1 : 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 : n016.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 16:07:35 EDT 2023
% Result : Unsatisfiable 0.21s 0.79s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 129
% Syntax : Number of formulae : 132 ( 3 unt; 127 typ; 0 def)
% Number of atoms : 9 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 190 ( 120 >; 70 *; 0 +; 0 <<)
% Number of predicates : 80 ( 78 usr; 1 prp; 0-5 aty)
% Number of functors : 49 ( 49 usr; 7 con; 0-4 aty)
% Number of variables : 2 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Suc: $i > $i ).
tff(decl_23,type,
tc_nat: $i ).
tff(decl_24,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
class_HOL_Ozero: $i > $o ).
tff(decl_26,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_27,type,
c_Polynomial_Omonom: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_29,type,
c_Polynomial_OpCons: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_31,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_35,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_36,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_38,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_39,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_41,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Polynomial_Opos__poly: ( $i * $i ) > $o ).
tff(decl_43,type,
class_Lattices_Oupper__semilattice: $i > $o ).
tff(decl_44,type,
c_Lattices_Oupper__semilattice__class_Osup: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_47,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_49,type,
c_OrderedGroup_Olordered__ab__group__add__class_Opprt: ( $i * $i ) > $i ).
tff(decl_50,type,
c_OrderedGroup_Olordered__ab__group__add__class_Onprt: ( $i * $i ) > $i ).
tff(decl_51,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_52,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_53,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_56,type,
class_HOL_Oeq: $i > $o ).
tff(decl_57,type,
c_HOL_Oeq__class_Oeq: ( $i * $i * $i ) > $o ).
tff(decl_58,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_59,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_62,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_63,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_64,type,
class_Lattices_Odistrib__lattice: $i > $o ).
tff(decl_65,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_66,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_68,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_69,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_70,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_71,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_72,type,
c_Polynomial_Opdivmod__rel: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_73,type,
c_Polynomial_Odegree: ( $i * $i ) > $i ).
tff(decl_74,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_76,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_77,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_78,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_81,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_84,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_85,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_86,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_87,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_88,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_89,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_90,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_91,type,
c_Polynomial_Ocoeff: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
t_a: $i ).
tff(decl_93,type,
v_p: $i ).
tff(decl_94,type,
v_sko__local__Xassms__1: $i > $i ).
tff(decl_95,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_96,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(decl_97,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_100,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_101,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_102,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_103,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_104,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_105,type,
c_Polynomial_Osynthetic__div: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_Polynomial_Opoly: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_109,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_110,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_111,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_113,type,
class_SEQ_Obanach: $i > $o ).
tff(decl_114,type,
c_Transcendental_Oexp: ( $i * $i ) > $i ).
tff(decl_115,type,
c_Polynomial_Opoly__gcd: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
class_OrderedGroup_Olordered__ab__group__add__join: $i > $o ).
tff(decl_117,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_118,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_119,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(decl_120,type,
c_Fundamental__Theorem__Algebra__Mirabelle_Opsize: ( $i * $i ) > $i ).
tff(decl_121,type,
c_Polynomial_Opcompose: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_123,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_124,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_125,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_126,type,
v_sko__local__Xnz__1: $i > $i ).
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_Ring__and__Field_Osgn__if: $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,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_133,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_134,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_135,type,
c_Polynomial_Osynthetic__divmod: ( $i * $i * $i ) > $i ).
tff(decl_136,type,
v_x: $i ).
tff(decl_137,type,
c_Polynomial_Oorder: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
v_c____: $i ).
tff(decl_139,type,
v_cs____: $i ).
tff(decl_140,type,
v_sko__local__XpCons__2__1: ( $i * $i ) > $i ).
tff(decl_141,type,
v_sko__local__XpCons__Xprems__1: ( $i * $i ) > $i ).
tff(decl_142,type,
v_sko__local__XpCons__1__2: $i > $i ).
tff(decl_143,type,
v_sko__local__XpCons__Xhyps__2: $i > $i ).
tff(decl_144,type,
v_sko__unknown__thm__ro4__2: ( $i * $i ) > $i ).
tff(decl_145,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_146,type,
class_OrderedGroup_Ocancel__comm__monoid__add: $i > $o ).
tff(decl_147,type,
tc_RealDef_Oreal: $i ).
tff(decl_148,type,
tc_prod: ( $i * $i ) > $i ).
cnf(cls_conjecture_2,negated_conjecture,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,X1),t_a) != c_Polynomial_Opoly(X1,hAPP(v_x,X1),t_a)
| c_Polynomial_Odegree(X1,t_a) != c_Polynomial_Odegree(v_cs____,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_conjecture_0,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_2,negated_conjecture,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| c_Polynomial_Opoly(v_cs____,hAPP(v_x,X1),t_a) != c_Polynomial_Opoly(X1,hAPP(v_x,X1),t_a)
| c_Polynomial_Odegree(X1,t_a) != c_Polynomial_Odegree(v_cs____,t_a) ),
cls_conjecture_2 ).
cnf(c_0_3,negated_conjecture,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
cls_conjecture_0 ).
cnf(c_0_4,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[c_0_2]),c_0_3]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG391-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.35 % Computer : n016.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Mon Aug 28 03:10:14 EDT 2023
% 0.20/0.35 % CPUTime :
% 0.21/0.59 start to proof: theBenchmark
% 0.21/0.79 % Version : CSE_E---1.5
% 0.21/0.79 % Problem : theBenchmark.p
% 0.21/0.79 % Proof found
% 0.21/0.79 % SZS status Theorem for theBenchmark.p
% 0.21/0.79 % SZS output start Proof
% See solution above
% 0.21/0.79 % Total time : 0.159000 s
% 0.21/0.79 % SZS output end Proof
% 0.21/0.79 % Total time : 0.193000 s
%------------------------------------------------------------------------------