TSTP Solution File: LCL755-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL755-1 : 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 : n021.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 06:59:25 EDT 2023
% Result : Unsatisfiable 0.20s 0.86s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 69
% Syntax : Number of formulae : 75 ( 8 unt; 65 typ; 0 def)
% Number of atoms : 12 ( 2 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 61 >; 21 *; 0 +; 0 <<)
% Number of predicates : 49 ( 47 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 4 con; 0-3 aty)
% Number of variables : 8 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_23,type,
c_Orderings_Oord__class_Omax: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_25,type,
c_Orderings_Oord__class_Omin: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_27,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_28,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_30,type,
c_Suc: $i > $i ).
tff(decl_31,type,
tc_nat: $i ).
tff(decl_32,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_33,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_34,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_36,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Divides_Odiv__class_Omod: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Lambda_OdB_OApp: ( $i * $i ) > $i ).
tff(decl_39,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_40,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_41,type,
class_Divides_Osemiring__div: $i > $o ).
tff(decl_42,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_43,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_44,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oordered__semiring: $i > $o ).
tff(decl_47,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_50,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_51,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_52,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_54,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_55,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_56,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_57,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_59,type,
class_Divides_Oring__div: $i > $o ).
tff(decl_60,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_61,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_62,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_63,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_64,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_65,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_66,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_67,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_68,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(decl_69,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_70,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_71,type,
c_Lambda_Obeta: ( $i * $i ) > $o ).
tff(decl_72,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_73,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_74,type,
class_Ring__and__Field_Omult__mono: $i > $o ).
tff(decl_75,type,
class_Ring__and__Field_Omult__mono1: $i > $o ).
tff(decl_76,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_77,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_78,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_79,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_80,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_82,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_83,type,
c_InductTermi_OIT: $i > $o ).
tff(decl_84,type,
v_ra: $i ).
tff(decl_85,type,
v_ia: $i ).
tff(decl_86,type,
v_ja: $i ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Suc__eq__plus1_0,axiom,
c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Suc__eq__plus1_0) ).
cnf(cls_Lambda_0,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))
| ~ c_InductTermi_OIT(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Lambda_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_4,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_Suc(v_ia)),c_Suc(v_ja)))),
cls_conjecture_2 ).
cnf(c_0_5,axiom,
c_Suc(X1) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),
cls_Suc__eq__plus1_0 ).
cnf(c_0_6,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OAbs(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(c_HOL_Oplus__class_Oplus(v_ia,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),c_HOL_Oplus__class_Oplus(v_ja,c_HOL_Oone__class_Oone(tc_nat),tc_nat)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_4,c_0_5]),c_0_5]) ).
cnf(c_0_7,axiom,
( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X1))
| ~ c_InductTermi_OIT(X1) ),
cls_Lambda_0 ).
cnf(c_0_8,negated_conjecture,
c_InductTermi_OIT(c_Lambda_Osubst(v_ra,c_Lambda_OdB_OVar(X1),X2)),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL755-1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 06:34:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.86 % Version : CSE_E---1.5
% 0.20/0.86 % Problem : theBenchmark.p
% 0.20/0.86 % Proof found
% 0.20/0.86 % SZS status Theorem for theBenchmark.p
% 0.20/0.86 % SZS output start Proof
% See solution above
% 0.20/0.86 % Total time : 0.249000 s
% 0.20/0.86 % SZS output end Proof
% 0.20/0.86 % Total time : 0.270000 s
%------------------------------------------------------------------------------