TSTP Solution File: ALG376-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG376-1 : 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 : 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 : Wed Aug 30 16:07:32 EDT 2023
% Result : Unsatisfiable 0.61s 0.85s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 113
% Syntax : Number of formulae : 127 ( 15 unt; 106 typ; 0 def)
% Number of atoms : 27 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 120 ( 92 >; 28 *; 0 +; 0 <<)
% Number of predicates : 68 ( 66 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 14 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_23,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_27,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_29,type,
c_NthRoot_Osqrt: $i > $i ).
tff(decl_30,type,
tc_RealDef_Oreal: $i ).
tff(decl_31,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_32,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_33,type,
tc_nat: $i ).
tff(decl_34,type,
c_RealDef_Oreal: ( $i * $i ) > $i ).
tff(decl_35,type,
c_Transcendental_Opi: $i ).
tff(decl_36,type,
c_Transcendental_Otan: $i > $i ).
tff(decl_37,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_38,type,
c_HOL_Ouminus__class_Ouminus: ( $i * $i ) > $i ).
tff(decl_39,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_40,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_41,type,
class_Int_Onumber: $i > $o ).
tff(decl_42,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_44,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_45,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_46,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_47,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_48,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_49,type,
c_Transcendental_Oarctan: $i > $i ).
tff(decl_50,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_58,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_59,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_60,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_61,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_62,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_63,type,
c_Transcendental_Osko__Transcendental__Xlemma__tan__total1__1__1: $i > $i ).
tff(decl_64,type,
c_Deriv_Osko__Deriv__Xlemma__interval__lt__1__1: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
v_r: $i ).
tff(decl_66,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_68,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_69,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_70,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_71,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_73,type,
class_RealVector_Oreal__vector: $i > $o ).
tff(decl_74,type,
c_RealVector_OscaleR__class_OscaleR: ( $i * $i * $i ) > $i ).
tff(decl_75,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_76,type,
class_RealVector_Oreal__algebra: $i > $o ).
tff(decl_77,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_79,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_82,type,
tc_Int_Oint: $i ).
tff(decl_83,type,
c_Transcendental_Osko__Transcendental__Xtan__total__1__1: $i > $i ).
tff(decl_84,type,
v_d____: $i ).
tff(decl_85,type,
c_Int_OMin: $i ).
tff(decl_86,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_87,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_88,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_89,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_90,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_91,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_92,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_93,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_94,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_95,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_96,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_97,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_98,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_100,type,
c_Int_OBit0: $i > $i ).
tff(decl_101,type,
v_g____: $i > $i ).
tff(decl_102,type,
tc_Complex_Ocomplex: $i ).
tff(decl_103,type,
c_Int_OPls: $i ).
tff(decl_104,type,
c_Int_OBit1: $i > $i ).
tff(decl_105,type,
v_p: $i ).
tff(decl_106,type,
v_sko__local__Xs1__1: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
v_s____: $i ).
tff(decl_108,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_109,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_110,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_111,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_112,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_113,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_115,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_116,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_117,type,
c_Polynomial_Opoly: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_119,type,
v_f____: $i > $i ).
tff(decl_120,type,
v_z____: $i ).
tff(decl_121,type,
v_N1____: $i ).
tff(decl_122,type,
v_N2____: $i ).
tff(decl_123,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_124,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_125,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_126,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_127,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
cnf(cls_th1_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),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_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_th1_0) ).
cnf(cls_Bit0__def_0,axiom,
c_Int_OBit0(X1) = c_HOL_Oplus__class_Oplus(X1,X1,tc_Int_Oint),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Bit0__def_0) ).
cnf(cls_abs__minus__add__cancel_0,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__minus__add__cancel_0) ).
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/sandbox2/benchmark/theBenchmark.p',cls_real__diff__def_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0_01,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
| ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_le__add1_0,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__add1_0) ).
cnf(c_0_7,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),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_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
cls_th1_0 ).
cnf(c_0_8,axiom,
c_Int_OBit0(X1) = c_HOL_Oplus__class_Oplus(X1,X1,tc_Int_Oint),
cls_Bit0__def_0 ).
cnf(c_0_9,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_abs__minus__add__cancel_0 ).
cnf(c_0_10,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_11,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_12,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_13,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_14,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal)
| ~ c_lessequals(v_N1____,c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat),tc_nat) ),
cls_CHAINED_0_01 ).
cnf(c_0_15,axiom,
c_lessequals(X1,c_HOL_Oplus__class_Oplus(X1,X2,tc_nat),tc_nat),
cls_le__add1_0 ).
cnf(c_0_16,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_17,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_18,plain,
c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_d____,tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_19,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_g____(v_f____(c_HOL_Oplus__class_Oplus(v_N1____,v_N2____,tc_nat))),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_HOL_Oplus__class_Oplus(c_Int_OBit1(c_Int_OPls),c_Int_OBit1(c_Int_OPls),tc_Int_Oint),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_16,c_0_13]) ).
cnf(c_0_20,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG376-1 : TPTP v8.1.2. Released v4.1.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n009.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 28 04:16:05 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.41/0.62 start to proof: theBenchmark
% 0.61/0.84 % Version : CSE_E---1.5
% 0.61/0.84 % Problem : theBenchmark.p
% 0.61/0.84 % Proof found
% 0.61/0.85 % SZS status Theorem for theBenchmark.p
% 0.61/0.85 % SZS output start Proof
% See solution above
% 0.61/0.85 % Total time : 0.180000 s
% 0.61/0.85 % SZS output end Proof
% 0.61/0.85 % Total time : 0.217000 s
%------------------------------------------------------------------------------