TSTP Solution File: LCL800-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL800-1 : 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 : n027.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 06:59:41 EDT 2023
% Result : Unsatisfiable 0.19s 0.74s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 69
% Syntax : Number of formulae : 76 ( 12 unt; 64 typ; 0 def)
% Number of atoms : 12 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 77 ( 55 >; 22 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 9 con; 0-3 aty)
% Number of variables : 22 ( 2 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_23,type,
c_HOL_Otimes__class_Otimes: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
tc_nat: $i ).
tff(decl_25,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_26,type,
c_HOL_Oplus__class_Oplus: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_28,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_29,type,
c_HOL_Ominus__class_Ominus: ( $i * $i * $i ) > $i ).
tff(decl_30,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_31,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_32,type,
c_Suc: $i > $i ).
tff(decl_33,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_34,type,
c_HOL_Oord__class_Oless: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_36,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_37,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_38,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_39,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_40,type,
class_Ring__and__Field_Oring__no__zero__divisors: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_42,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_43,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_45,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_47,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_48,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_52,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_55,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_56,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Oab__semigroup__idem__mult: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_60,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_61,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_62,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_63,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_64,type,
c_Lambda_Oliftn: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Lambda_OdB_OVar: $i > $i ).
tff(decl_66,type,
c_ATP__Linkup_Osko__Nat__Xless__Suc__eq__0__disj__1__1: ( $i * $i ) > $i ).
tff(decl_67,type,
c_ATP__Linkup_Osko__Nat__Xgr0__implies__Suc__1__1: $i > $i ).
tff(decl_68,type,
c_ATP__Linkup_Osko__Nat__Xgr0__conv__Suc__1__1: $i > $i ).
tff(decl_69,type,
c_Lambda_OdB_OAbs: $i > $i ).
tff(decl_70,type,
c_Lambda_Obeta: ( $i * $i ) > $o ).
tff(decl_71,type,
c_Lambda_Osko__Lambda__Xbeta__cases__2__1: ( $i * $i ) > $i ).
tff(decl_72,type,
c_Lambda_Osubstn: ( $i * $i * $i ) > $i ).
tff(decl_73,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_74,type,
c_Lambda_Olift: ( $i * $i ) > $i ).
tff(decl_75,type,
c_Lambda_Osubst: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Lambda_OdB_OApp: ( $i * $i ) > $i ).
tff(decl_77,type,
c_InductTermi_OIT: $i > $o ).
tff(decl_78,type,
v_n____: $i ).
tff(decl_79,type,
v_i____: $i ).
tff(decl_80,type,
v_ua______: $i ).
tff(decl_81,type,
v_u____: $i ).
tff(decl_82,type,
v_rs____: $i ).
tff(decl_83,type,
v_a____: $i ).
tff(decl_84,type,
v_as____: $i ).
tff(decl_85,type,
tc_Lambda_OdB: $i ).
cnf(cls_subst__App_0,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__App_0) ).
cnf(cls_subst__lift_0,axiom,
c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__lift_0) ).
cnf(cls_CHAINED_0,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
cnf(cls_subst__eq_0,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c_0_5,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OApp(X1,X2),X3,X4) = c_Lambda_OdB_OApp(c_Lambda_Osubst(X1,X3,X4),c_Lambda_Osubst(X2,X3,X4)),
cls_subst__App_0 ).
cnf(c_0_6,axiom,
c_Lambda_Osubst(c_Lambda_Olift(X1,X2),X3,X2) = X1,
cls_subst__lift_0 ).
cnf(c_0_7,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
cls_CHAINED_0 ).
cnf(c_0_8,plain,
c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(X1,X2),X3),X4,X2) = c_Lambda_OdB_OApp(X1,c_Lambda_Osubst(X3,X4,X2)),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,axiom,
c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X1) = X2,
cls_subst__eq_0 ).
cnf(c_0_10,negated_conjecture,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
cls_conjecture_0 ).
cnf(c_0_11,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_10]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL800-1 : 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
% 0.13/0.34 % Computer : n027.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 : Thu Aug 24 19:17:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.74 % Version : CSE_E---1.5
% 0.19/0.74 % Problem : theBenchmark.p
% 0.19/0.74 % Proof found
% 0.19/0.74 % SZS status Theorem for theBenchmark.p
% 0.19/0.74 % SZS output start Proof
% See solution above
% 0.19/0.75 % Total time : 0.159000 s
% 0.19/0.75 % SZS output end Proof
% 0.19/0.75 % Total time : 0.171000 s
%------------------------------------------------------------------------------