TSTP Solution File: ALG436-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ALG436-1 : 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 : n022.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 16:07:45 EDT 2023
% Result : Unsatisfiable 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 70
% Syntax : Number of formulae : 77 ( 3 unt; 66 typ; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 10 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 83 ( 60 >; 23 *; 0 +; 0 <<)
% Number of predicates : 46 ( 45 usr; 1 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-3 aty)
% Number of variables : 0 ( 0 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,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_25,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
c_HOL_Oinverse__class_Odivide: ( $i * $i * $i ) > $i ).
tff(decl_28,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_29,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_30,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_31,type,
c_Divides_Odiv__class_Odiv: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_33,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_34,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_35,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_36,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
class_RealVector_Oreal__normed__field: $i > $o ).
tff(decl_38,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_39,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_40,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_42,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_43,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_44,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_47,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_48,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_49,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_51,type,
class_Power_Opower: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_53,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_HOL_Oinverse__class_Oinverse: ( $i * $i ) > $i ).
tff(decl_55,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Odivision__ring: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_58,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_59,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_60,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_61,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_62,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_64,type,
c_Polynomial_Osmult: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
tc_Polynomial_Opoly: $i > $i ).
tff(decl_66,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_67,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_68,type,
tc_Rational_Orat: $i ).
tff(decl_69,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_70,type,
c_Polynomial_Opoly__gcd: ( $i * $i * $i ) > $i ).
tff(decl_71,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_72,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_73,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_76,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_77,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_79,type,
class_RealVector_Oreal__field: $i > $o ).
tff(decl_80,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_81,type,
v_p: $i ).
tff(decl_82,type,
v_p_H: $i ).
tff(decl_83,type,
tc_Complex_Ocomplex: $i ).
tff(decl_84,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_85,type,
v_q: $i ).
tff(decl_86,type,
v_r: $i ).
tff(decl_87,type,
class_OrderedGroup_Ocancel__comm__monoid__add: $i > $o ).
cnf(cls_CHAINED_0,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_CHAINED_0_01,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
cnf(cls_conjecture_1,negated_conjecture,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_4,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
cls_CHAINED_0 ).
cnf(c_0_5,negated_conjecture,
( ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
cls_conjecture_0 ).
cnf(c_0_6,axiom,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
cls_CHAINED_0_01 ).
cnf(c_0_7,plain,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(csr,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_Ring__and__Field_Odvd__class_Odvd(v_p,v_r,tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
cls_conjecture_1 ).
cnf(c_0_9,plain,
~ c_Ring__and__Field_Odvd__class_Odvd(v_p,v_q,tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_8,c_0_9]),c_0_7]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ALG436-1 : 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
% 0.17/0.35 % Computer : n022.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Mon Aug 28 03:47:39 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.61 % Version : CSE_E---1.5
% 0.21/0.61 % Problem : theBenchmark.p
% 0.21/0.61 % Proof found
% 0.21/0.61 % SZS status Theorem for theBenchmark.p
% 0.21/0.61 % SZS output start Proof
% See solution above
% 0.21/0.61 % Total time : 0.015000 s
% 0.21/0.61 % SZS output end Proof
% 0.21/0.61 % Total time : 0.029000 s
%------------------------------------------------------------------------------