TSTP Solution File: SCT079-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT079-1 : 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 : n018.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 14:11:07 EDT 2023
% Result : Unsatisfiable 159.24s 159.27s
% Output : CNFRefutation 159.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 126
% Syntax : Number of formulae : 155 ( 33 unt; 115 typ; 0 def)
% Number of atoms : 47 ( 35 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 9 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 200 ( 101 >; 99 *; 0 +; 0 <<)
% Number of predicates : 53 ( 51 usr; 1 prp; 0-9 aty)
% Number of functors : 64 ( 64 usr; 14 con; 0-5 aty)
% Number of variables : 133 ( 70 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_23,type,
tc_bool: $i ).
tff(decl_24,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_25,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_26,type,
c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_28,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_29,type,
tc_nat: $i ).
tff(decl_30,type,
c_HOL_Oord__class_Oless: $i > $i ).
tff(decl_31,type,
c_HOL_Ominus__class_Ominus: $i > $i ).
tff(decl_32,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_33,type,
c_Suc: $i > $i ).
tff(decl_34,type,
hBOOL: $i > $o ).
tff(decl_35,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_36,type,
c_lessequals: $i > $i ).
tff(decl_37,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_38,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_39,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_40,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_41,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_42,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_43,type,
class_Power_Opower: $i > $o ).
tff(decl_44,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_45,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_46,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_47,type,
c_Orderings_Oorder: ( $i * $i * $i ) > $o ).
tff(decl_48,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_49,type,
c_Hilbert__Choice_OEps: ( $i * $i ) > $i ).
tff(decl_50,type,
c_Lattices_Oboolean__algebra: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_51,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_52,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_53,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_54,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_55,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_56,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_57,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_58,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_59,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_60,type,
c_in: $i > $i ).
tff(decl_61,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Arrow__Order__Mirabelle_Omkbot: ( $i * $i ) > $i ).
tff(decl_63,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_64,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_65,type,
c_Orderings_Opreorder: ( $i * $i * $i ) > $o ).
tff(decl_66,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_67,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_68,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_69,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_70,type,
c_Orderings_Olinorder: ( $i * $i * $i ) > $o ).
tff(decl_71,type,
c_COMBB: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_73,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_74,type,
c_SetInterval_Oord__class_OlessThan: ( $i * $i ) > $i ).
tff(decl_75,type,
c_Arrow__Order__Mirabelle_Omktop: ( $i * $i ) > $i ).
tff(decl_76,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_77,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_78,type,
c_Lattices_Odistrib__lattice: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_79,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_81,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_82,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_83,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_84,type,
c_Complete__Lattice_Ocomplete__lattice: ( $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_85,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_86,type,
class_Orderings_Obot: $i > $o ).
tff(decl_87,type,
c_SetInterval_Oord__class_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_88,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_89,type,
class_Complete__Lattice_Ocomplete__lattice: $i > $o ).
tff(decl_90,type,
c_Complete__Lattice_OSup__class_OSup: ( $i * $i ) > $i ).
tff(decl_91,type,
c_ATP__Linkup_Osko__Nat__Xinfinite__descent__measure__1__1: ( $i * $i * $i ) > $i ).
tff(decl_92,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_93,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Complete__Lattice_OInf__class_OInf: ( $i * $i ) > $i ).
tff(decl_95,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_96,type,
c_ATP__Linkup_Osko__Nat__Xnat__less__induct__1__1: $i > $i ).
tff(decl_97,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_98,type,
c_Lattices_Obounded__lattice: ( $i * $i * $i * $i * $i * $i * $i ) > $o ).
tff(decl_99,type,
v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1: ( $i * $i ) > $i ).
tff(decl_100,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_101,type,
c_Fun_Ooverride__on: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_103,type,
c_Arrow__Order__Mirabelle_Oabove: ( $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Arrow__Order__Mirabelle_OLin: $i ).
tff(decl_105,type,
c_Arrow__Order__Mirabelle_Obelow: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_Set_OPow: ( $i * $i ) > $i ).
tff(decl_107,type,
c_ATP__Linkup_Osko__Nat__Xmeasure__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_109,type,
c_Lattices_Olattice: ( $i * $i * $i * $i * $i ) > $o ).
tff(decl_110,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_111,type,
c_COMBC: ( $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
c_List_Osko__Divides__Xmod__induct__1__1: ( $i * $i ) > $i ).
tff(decl_113,type,
class_Orderings_Otop: $i > $o ).
tff(decl_114,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_115,type,
c_ATP__Linkup_Osko__Nat__Xmeasure__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_fequal: $i > $i ).
tff(decl_117,type,
c_The: ( $i * $i ) > $i ).
tff(decl_118,type,
c_ATP__Linkup_Osko__Nat__Xinfinite__descent__1__1: $i > $i ).
tff(decl_119,type,
c_List_Osko__List__Xall__nat__less__eq__1__2: ( $i * $i ) > $i ).
tff(decl_120,type,
c_List_Osko__List__Xex__nat__less__eq__1__1: ( $i * $i ) > $i ).
tff(decl_121,type,
t_a: $i ).
tff(decl_122,type,
v_a: $i ).
tff(decl_123,type,
c_HOL_OIf: $i > $i ).
tff(decl_124,type,
v_n: $i ).
tff(decl_125,type,
v_F: $i ).
tff(decl_126,type,
c_Arrow__Order__Mirabelle_OIIA: $i > $o ).
tff(decl_127,type,
c_Arrow__Order__Mirabelle_Ounanimity: $i > $o ).
tff(decl_128,type,
class_HOL_Oord: $i > $o ).
tff(decl_129,type,
c_FuncSet_OPi: ( $i * $i * $i * $i ) > $i ).
tff(decl_130,type,
v_sko__Arrow__Order__Mirabelle__Xlinear__alt__1: $i ).
tff(decl_131,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_132,type,
v_h____: $i ).
tff(decl_133,type,
v_Lab____: $i ).
tff(decl_134,type,
v_Lba____: $i ).
tff(decl_135,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_136,type,
c_COMBK: ( $i * $i * $i ) > $i ).
cnf(cls_double__compl_0,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
cnf(clsarity_bool__Lattices_Oboolean__algebra,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
cnf(cls_natgb_Oadd__r0__iff_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_natgb_Oadd__r0__iff_0) ).
cnf(cls_nat__add__commute_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_nat__add__commute_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_COMBS__def_0,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBS__def_0) ).
cnf(cls_less__add__Suc1_0,axiom,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__add__Suc1_0) ).
cnf(cls_add__Suc__right_0,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_add__Suc__right_0) ).
cnf(cls_diff__add__0_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__0_0) ).
cnf(cls_diff__add__inverse2_0,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_diff__add__inverse2_0) ).
cnf(cls_less__not__refl_0,axiom,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_less__not__refl_0) ).
cnf(c_0_11,axiom,
( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
| ~ class_Lattices_Oboolean__algebra(X1) ),
cls_double__compl_0 ).
cnf(c_0_12,axiom,
class_Lattices_Oboolean__algebra(tc_bool),
clsarity_bool__Lattices_Oboolean__algebra ).
cnf(c_0_13,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_nat)
| X1 != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
cls_natgb_Oadd__r0__iff_0 ).
cnf(c_0_14,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),
cls_nat__add__commute_0 ).
cnf(c_0_15,axiom,
hAPP(hAPP(c_COMBC(X1,X2,X3,X4),X5),X6) = hAPP(hAPP(X1,X6),X5),
cls_COMBC__def_0 ).
cnf(c_0_16,plain,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X1)) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) != X2 ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_19,plain,
hAPP(hAPP(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X1,X2,X3),X4),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X5)) = hAPP(X5,X4),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X2,X3,X4,X5),X1) != hAPP(X2,X1) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
hAPP(c_COMBS(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X1,X2,X3),c_HOL_Ouminus__class_Ouminus(tc_bool),X4,X5,X6),X7) = hAPP(X7,X7),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,plain,
( c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3,X4) = c_HOL_Ozero__class_Ozero(tc_nat)
| hAPP(c_COMBS(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X5,X6,X7),c_HOL_Ouminus__class_Ouminus(tc_bool),X8,X9,X10),c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3,X4)) != hAPP(X1,c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X2,X3,X4)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_23,axiom,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)))),
cls_less__add__Suc1_0 ).
cnf(c_0_24,axiom,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)) = c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),
cls_add__Suc__right_0 ).
cnf(c_0_25,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = c_HOL_Ozero__class_Ozero(tc_nat),
cls_diff__add__0_0 ).
cnf(c_0_26,plain,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(hAPP(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X7,X8,X9),X6),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),X2))),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_27,plain,
c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_COMBS(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X1,X2,X3),c_HOL_Ouminus__class_Ouminus(tc_bool),X4,X5,X6),X7,X8,X9) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(er,[status(thm)],[c_0_22]) ).
cnf(c_0_28,plain,
hAPP(hAPP(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X1,X2,X3),X4),hAPP(c_HOL_Ouminus__class_Ouminus(tc_bool),c_COMBS(c_COMBC(c_HOL_Ouminus__class_Ouminus(tc_bool),X5,X6,X7),c_HOL_Ouminus__class_Ouminus(tc_bool),X8,X9,X10))) = hAPP(X4,X4),
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_29,plain,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_Suc(X2)))),
inference(rw,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(spm,[status(thm)],[c_0_25,c_0_14]) ).
cnf(c_0_31,axiom,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)),X2) = X1,
cls_diff__add__inverse2_0 ).
cnf(c_0_32,plain,
hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(X1,X1)) = hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]) ).
cnf(c_0_33,plain,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_Suc(X2)),X1))),
inference(spm,[status(thm)],[c_0_29,c_0_14]) ).
cnf(c_0_34,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(X1,X2)),hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X3,X4,X5),X2)) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(spm,[status(thm)],[c_0_30,c_0_18]) ).
cnf(c_0_35,plain,
hAPP(hAPP(c_HOL_Ominus__class_Ominus(tc_nat),hAPP(c_HOL_Ozero__class_Ozero(tc_nat),X1)),hAPP(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),hAPP(X1,c_Suc(X2))),hAPP(c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),X1,X3,X4,X5),c_Suc(X2)))),
inference(spm,[status(thm)],[c_0_33,c_0_18]) ).
cnf(c_0_37,plain,
c_COMBS(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),X1,X2,X3) = c_HOL_Ozero__class_Ozero(tc_nat),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,axiom,
~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X1)),
cls_less__not__refl_0 ).
cnf(c_0_39,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SCT079-1 : 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
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 16:43:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 159.24/159.27 % Version : CSE_E---1.5
% 159.24/159.27 % Problem : theBenchmark.p
% 159.24/159.27 % Proof found
% 159.24/159.27 % SZS status Theorem for theBenchmark.p
% 159.24/159.27 % SZS output start Proof
% See solution above
% 159.24/159.28 % Total time : 158.682000 s
% 159.24/159.28 % SZS output end Proof
% 159.24/159.28 % Total time : 158.714000 s
%------------------------------------------------------------------------------