TSTP Solution File: SWV689-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV689-1 : 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 : n001.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 : Thu Aug 31 21:47:46 EDT 2023
% Result : Unsatisfiable 0.17s 0.63s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 72
% Syntax : Number of formulae : 76 ( 5 unt; 69 typ; 0 def)
% Number of atoms : 9 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 6 ( 4 ~; 2 |; 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 : 84 ( 65 >; 19 *; 0 +; 0 <<)
% Number of predicates : 57 ( 56 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 6 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_23,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_24,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
c_Suc: $i > $i ).
tff(decl_27,type,
tc_nat: $i ).
tff(decl_28,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_30,type,
c_Ring__and__Field_Odvd__class_Odvd: ( $i * $i * $i ) > $o ).
tff(decl_31,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_32,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_35,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_36,type,
c_HOL_Oabs__class_Oabs: ( $i * $i ) > $i ).
tff(decl_37,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_38,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_40,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_42,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_43,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Opordered__ring__abs: $i > $o ).
tff(decl_46,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_47,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
c_Parity_Oeven__odd__class_Oeven: ( $i * $i ) > $o ).
tff(decl_49,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_50,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_54,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_55,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_56,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_57,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_59,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_60,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_61,type,
class_Ring__and__Field_Odvd: $i > $o ).
tff(decl_62,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_64,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_65,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_66,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_68,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_69,type,
class_RealVector_Oreal__normed__algebra: $i > $o ).
tff(decl_70,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_71,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_72,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_73,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_74,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_75,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_77,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_80,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_81,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_82,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_83,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_84,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_85,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_86,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_87,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_88,type,
v_i: $i ).
tff(decl_89,type,
v_n: $i ).
tff(decl_90,type,
v_k: $i ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_less__imp__diff__less_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__imp__diff__less_0) ).
cnf(cls_assms_0,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_assms_0) ).
cnf(c_0_3,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(v_i,v_k,tc_nat),v_n,tc_nat),
cls_conjecture_0 ).
cnf(c_0_4,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)
| ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
cls_less__imp__diff__less_0 ).
cnf(c_0_5,axiom,
c_HOL_Oord__class_Oless(v_i,v_n,tc_nat),
cls_assms_0 ).
cnf(c_0_6,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV689-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.33 % Computer : n001.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 : Tue Aug 29 10:33:22 EDT 2023
% 0.17/0.33 % CPUTime :
% 0.17/0.57 start to proof: theBenchmark
% 0.17/0.63 % Version : CSE_E---1.5
% 0.17/0.63 % Problem : theBenchmark.p
% 0.17/0.63 % Proof found
% 0.17/0.63 % SZS status Theorem for theBenchmark.p
% 0.17/0.63 % SZS output start Proof
% See solution above
% 0.17/0.64 % Total time : 0.035000 s
% 0.17/0.64 % SZS output end Proof
% 0.17/0.64 % Total time : 0.056000 s
%------------------------------------------------------------------------------