TSTP Solution File: ALG380-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG380-1 : 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 16:07:33 EDT 2023
% Result : Unsatisfiable 0.52s 0.78s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 106
% Syntax : Number of formulae : 115 ( 14 unt; 99 typ; 0 def)
% Number of atoms : 18 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 115 ( 90 >; 25 *; 0 +; 0 <<)
% Number of predicates : 70 ( 68 usr; 1 prp; 0-3 aty)
% Number of functors : 31 ( 31 usr; 9 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_23,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_25,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_26,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_27,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_28,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_29,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_30,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_31,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_32,type,
c_Int_OPls: $i ).
tff(decl_33,type,
c_Int_OBit1: $i > $i ).
tff(decl_34,type,
c_Int_OBit0: $i > $i ).
tff(decl_35,type,
tc_nat: $i ).
tff(decl_36,type,
c_Int_Onumber__class_Onumber__of: ( $i * $i ) > $i ).
tff(decl_37,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_39,type,
class_RealVector_Oreal__normed__vector: $i > $o ).
tff(decl_40,type,
c_RealVector_Onorm__class_Onorm: ( $i * $i ) > $i ).
tff(decl_41,type,
tc_RealDef_Oreal: $i ).
tff(decl_42,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Transcendental_Ocos: $i > $i ).
tff(decl_44,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Transcendental_Osin: $i > $i ).
tff(decl_46,type,
c_Transcendental_Opi: $i ).
tff(decl_47,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_48,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_50,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_52,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_54,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_55,type,
c_Complex_Ocis: $i > $i ).
tff(decl_56,type,
tc_Complex_Ocomplex: $i ).
tff(decl_57,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_59,type,
c_NthRoot_Osqrt: $i > $i ).
tff(decl_60,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_61,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_62,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_63,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_64,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_65,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_66,type,
class_RealVector_Oreal__algebra__1: $i > $o ).
tff(decl_67,type,
c_RealVector_Oof__real: ( $i * $i ) > $i ).
tff(decl_68,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_69,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_71,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_72,type,
c_Transcendental_Otan: $i > $i ).
tff(decl_73,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_75,type,
c_HOL_Osgn__class_Osgn: ( $i * $i ) > $i ).
tff(decl_76,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Osgn__if: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_79,type,
class_RealVector_Oreal__normed__algebra__1: $i > $o ).
tff(decl_80,type,
c_Complex_Orcis: ( $i * $i ) > $i ).
tff(decl_81,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_82,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_83,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_84,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_85,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_86,type,
class_Power_Opower: $i > $o ).
tff(decl_87,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_88,type,
class_Int_Onumber: $i > $o ).
tff(decl_89,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_91,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_92,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_93,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_94,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_95,type,
class_RealVector_Oreal__normed__div__algebra: $i > $o ).
tff(decl_96,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_97,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_98,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_99,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_100,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_101,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_102,type,
class_HOL_Oeq: $i > $o ).
tff(decl_103,type,
c_HOL_Oeq__class_Oeq: ( $i * $i * $i ) > $o ).
tff(decl_104,type,
tc_Int_Oint: $i ).
tff(decl_105,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_106,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_107,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_108,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_109,type,
c_Transcendental_Osko__Transcendental__Xcos__is__zero__1__1: $i ).
tff(decl_110,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_111,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_112,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_113,type,
c_Int_Oiszero: ( $i * $i ) > $o ).
tff(decl_114,type,
class_Int_Oring__char__0: $i > $o ).
tff(decl_115,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_116,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_117,type,
v_r: $i ).
tff(decl_118,type,
v_a: $i ).
tff(decl_119,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_120,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
cnf(cls_conjecture_0,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_rcis__mult_0,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X1,X2),c_Complex_Orcis(X3,X4),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rcis__mult_0) ).
cnf(cls_real__sqrt__mult_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__mult_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_real__sum__of__halves_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sum__of__halves_0) ).
cnf(cls_abs__idempotent_0,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__idempotent_0) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
cnf(c_0_7,negated_conjecture,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),c_Complex_Orcis(c_NthRoot_Osqrt(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal)),c_HOL_Oinverse__class_Odivide(v_a,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_Complex_Ocomplex) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
cls_conjecture_0 ).
cnf(c_0_8,axiom,
c_HOL_Otimes__class_Otimes(c_Complex_Orcis(X1,X2),c_Complex_Orcis(X3,X4),tc_Complex_Ocomplex) = c_Complex_Orcis(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal)),
cls_rcis__mult_0 ).
cnf(c_0_9,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal),
cls_real__sqrt__mult_0 ).
cnf(c_0_10,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_real__sqrt__abs2_0 ).
cnf(c_0_11,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
cls_real__sum__of__halves_0 ).
cnf(c_0_12,negated_conjecture,
c_Complex_Orcis(c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),v_a) != c_Complex_Orcis(c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal),v_a),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),c_0_11]) ).
cnf(c_0_13,axiom,
( c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X2,X1),X1) = c_HOL_Oabs__class_Oabs(X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
cls_abs__idempotent_0 ).
cnf(c_0_14,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG380-1 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 28 02:45:35 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.50/0.57 start to proof: theBenchmark
% 0.52/0.78 % Version : CSE_E---1.5
% 0.52/0.78 % Problem : theBenchmark.p
% 0.52/0.78 % Proof found
% 0.52/0.78 % SZS status Theorem for theBenchmark.p
% 0.52/0.78 % SZS output start Proof
% See solution above
% 0.52/0.79 % Total time : 0.174000 s
% 0.52/0.79 % SZS output end Proof
% 0.52/0.79 % Total time : 0.212000 s
%------------------------------------------------------------------------------