TSTP Solution File: SCT091-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SCT091-1 : 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 : n003.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 14:11:10 EDT 2023
% Result : Unsatisfiable 172.79s 172.85s
% Output : CNFRefutation 172.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 156
% Syntax : Number of formulae : 182 ( 16 unt; 146 typ; 0 def)
% Number of atoms : 58 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 21 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 269 ( 127 >; 142 *; 0 +; 0 <<)
% Number of predicates : 61 ( 59 usr; 1 prp; 0-4 aty)
% Number of functors : 87 ( 87 usr; 19 con; 0-5 aty)
% Number of variables : 134 ( 50 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_Ring__and__Field_Ozero__neq__one: $i > $o ).
tff(decl_23,type,
class_Ring__and__Field_Ono__zero__divisors: $i > $o ).
tff(decl_24,type,
class_Ring__and__Field_Omult__zero: $i > $o ).
tff(decl_25,type,
class_Power_Opower: $i > $o ).
tff(decl_26,type,
tc_nat: $i ).
tff(decl_27,type,
c_HOL_Ozero__class_Ozero: $i > $i ).
tff(decl_28,type,
c_Power_Opower__class_Opower: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_30,type,
c_HOL_Oplus__class_Oplus: $i > $i ).
tff(decl_31,type,
hAPP: ( $i * $i ) > $i ).
tff(decl_32,type,
class_OrderedGroup_Opordered__ab__group__add__abs: $i > $o ).
tff(decl_33,type,
c_HOL_Oabs__class_Oabs: $i > $i ).
tff(decl_34,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_35,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
tff(decl_36,type,
c_HOL_Ouminus__class_Ouminus: $i > $i ).
tff(decl_37,type,
c_HOL_Oord__class_Oless: $i > $i ).
tff(decl_38,type,
hBOOL: $i > $o ).
tff(decl_39,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_40,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_41,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_42,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_43,type,
class_OrderedGroup_Olordered__ab__group__add: $i > $o ).
tff(decl_44,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_45,type,
c_in: $i > $i ).
tff(decl_46,type,
tc_bool: $i ).
tff(decl_47,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_48,type,
c_Orderings_Obot__class_Obot: $i > $i ).
tff(decl_49,type,
c_Set_Oinsert: ( $i * $i * $i ) > $i ).
tff(decl_50,type,
c_Lattices_Olower__semilattice__class_Oinf: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_52,type,
c_HOL_Oone__class_Oone: $i > $i ).
tff(decl_53,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_54,type,
c_HOL_Oinverse__class_Odivide: $i > $i ).
tff(decl_55,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_56,type,
class_Lattices_Oboolean__algebra: $i > $o ).
tff(decl_57,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_58,type,
class_Orderings_Obot: $i > $o ).
tff(decl_59,type,
c_Orderings_Otop__class_Otop: $i > $i ).
tff(decl_60,type,
c_Set_Ovimage: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_62,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_63,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_64,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_65,type,
class_Lattices_Obounded__lattice: $i > $o ).
tff(decl_66,type,
c_Finite__Set_Ofinite: ( $i * $i ) > $o ).
tff(decl_67,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_68,type,
class_Int_Onumber__ring: $i > $o ).
tff(decl_69,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_70,type,
class_OrderedGroup_Olordered__ab__group__add__abs: $i > $o ).
tff(decl_71,type,
class_Ring__and__Field_Oabs__if: $i > $o ).
tff(decl_72,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_73,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_74,type,
class_Lattices_Olattice: $i > $o ).
tff(decl_75,type,
class_Lattices_Olower__semilattice: $i > $o ).
tff(decl_76,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_77,type,
class_OrderedGroup_Olordered__ab__group__add__meet: $i > $o ).
tff(decl_78,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_79,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_80,type,
c_Nat_Osemiring__1__class_Oof__nat: ( $i * $i ) > $i ).
tff(decl_81,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_82,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
class_OrderedGroup_Omonoid__add: $i > $o ).
tff(decl_84,type,
class_OrderedGroup_Oordered__ab__group__add: $i > $o ).
tff(decl_85,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_86,type,
class_Ring__and__Field_Oring__1__no__zero__divisors: $i > $o ).
tff(decl_87,type,
c_Relation_Ototal__on: ( $i * $i * $i ) > $o ).
tff(decl_88,type,
class_Orderings_Otop: $i > $o ).
tff(decl_89,type,
class_Finite__Set_Ofinite_Ofinite: $i > $o ).
tff(decl_90,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_91,type,
c_Finite__Set_Osetsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
c_Equiv__Relations_Oequiv: ( $i * $i * $i ) > $o ).
tff(decl_93,type,
class_OrderedGroup_Opordered__comm__monoid__add: $i > $o ).
tff(decl_94,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_95,type,
c_HOL_OIf: $i > $i ).
tff(decl_96,type,
c_COMBC: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_COMBB: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_COMBS: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_ATP__Linkup_Osko__Finite__Set__Xsetsum__nonpos__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
c_Finite__Set_Osetprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
c_ATP__Linkup_Osko__Finite__Set__Xsetprod__nonneg__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_ATP__Linkup_Osko__Finite__Set__Xsetprod__pos__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_ATP__Linkup_Osko__Finite__Set__Xsetprod__zero__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_106,type,
c_ATP__Linkup_Osko__Transitive__Closure__XtranclD2__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_ATP__Linkup_Osko__Wellfounded__Xwf__eq__minimal__1__1: ( $i * $i * $i ) > $i ).
tff(decl_108,type,
c_Wellfounded_Owf: ( $i * $i ) > $o ).
tff(decl_109,type,
c_ATP__Linkup_Osko__Wellfounded__XwfE__min__1__1: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_ATP__Linkup_Osko__Relation__XImageE__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_111,type,
c_ATP__Linkup_Osko__Relation__XImage__iff__1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_112,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_113,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__1__1: ( $i * $i * $i ) > $i ).
tff(decl_114,type,
c_Wellfounded_Oacc: ( $i * $i ) > $i ).
tff(decl_115,type,
v_sko__Wellfounded__Xacc__Xinducts__1: ( $i * $i ) > $i ).
tff(decl_116,type,
t_a: $i ).
tff(decl_117,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__induct__rule__1__1: ( $i * $i * $i ) > $i ).
tff(decl_118,type,
c_ATP__Linkup_Osko__Wellfounded__Xnot__acc__down__1__1: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
v_sko__Wellfounded__Xacc__Xinduct__1: ( $i * $i ) > $i ).
tff(decl_120,type,
c_ATP__Linkup_Osko__Wellfounded__Xacc__Xintros__1__1: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_122,type,
c_Relation_Orefl__on: ( $i * $i * $i ) > $o ).
tff(decl_123,type,
c_Relation_OId: $i > $i ).
tff(decl_124,type,
c_Relation_OId__on: ( $i * $i ) > $i ).
tff(decl_125,type,
c_ATP__Linkup_Osko__Relation__XDomainE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
c_ATP__Linkup_Osko__Relation__XDomain__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_127,type,
c_ATP__Linkup_Osko__Relation__XRangeE__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_128,type,
c_ATP__Linkup_Osko__Relation__XRange__iff__1__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
c_fequal: $i > $i ).
tff(decl_130,type,
v_sko__Arrow__Order__Mirabelle__Xthird__alt__1: ( $i * $i ) > $i ).
tff(decl_131,type,
tc_Arrow__Order__Mirabelle_Oalt: $i ).
tff(decl_132,type,
c_List_Olist_ONil: $i > $i ).
tff(decl_133,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_134,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_135,type,
tc_Arrow__Order__Mirabelle_Oindi: $i ).
tff(decl_136,type,
v_h____: $i ).
tff(decl_137,type,
v_Lab____: $i ).
tff(decl_138,type,
v_Lba____: $i ).
tff(decl_139,type,
c_Arrow__Order__Mirabelle_OProf: $i ).
tff(decl_140,type,
v_a____: $i ).
tff(decl_141,type,
v_b____: $i ).
tff(decl_142,type,
v_n____: $i ).
tff(decl_143,type,
v_F: $i > $i ).
tff(decl_144,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_145,type,
class_Orderings_Opreorder: $i > $o ).
tff(decl_146,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_147,type,
c_Wellfounded_Omlex__prod: ( $i * $i * $i ) > $i ).
tff(decl_148,type,
c_Recdef_Ocut: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_149,type,
c_Relation_Osym: ( $i * $i ) > $o ).
tff(decl_150,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_151,type,
c_Relation_Oantisym: ( $i * $i ) > $o ).
tff(decl_152,type,
c_Relation_Oinv__image: ( $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
class_Nat_Osemiring__char__0: $i > $o ).
tff(decl_154,type,
c_Wellfounded_Omeasure: ( $i * $i ) > $i ).
tff(decl_155,type,
c_Relation_Oirrefl: ( $i * $i ) > $o ).
tff(decl_156,type,
c_Equiv__Relations_Ocongruent: ( $i * $i * $i * $i ) > $o ).
tff(decl_157,type,
c_Nitpick_Orefl_H: ( $i * $i ) > $o ).
tff(decl_158,type,
v_sko__Arrow__Order__Mirabelle__Xcomplete__Lin__1: ( $i * $i ) > $i ).
tff(decl_159,type,
c_Product__Type_OSigma: ( $i * $i * $i * $i ) > $i ).
tff(decl_160,type,
v_c____: $i ).
tff(decl_161,type,
v_d____: $i ).
tff(decl_162,type,
v_e____: $i ).
tff(decl_163,type,
c_Arrow__Order__Mirabelle_Omktop: $i ).
tff(decl_164,type,
c_Arrow__Order__Mirabelle_Omkbot: $i ).
tff(decl_165,type,
v_P____: $i ).
tff(decl_166,type,
c_Arrow__Order__Mirabelle_Oabove: $i ).
tff(decl_167,type,
v_sko__CHAINED__1: ( $i * $i * $i * $i ) > $i ).
cnf(cls_ComplI_0,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplI_0) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
cnf(cls_ComplD_0,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplD_0) ).
cnf(cls_double__complement_0,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__complement_0) ).
cnf(cls_mem__def_0,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
cnf(cls_mem__def_1,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
cnf(cls_bot1E_0,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
cnf(cls_Compl__disjoint_0,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__disjoint_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_inf1I_0,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf1I_0) ).
cnf(c_0_10,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3)))
| hBOOL(hAPP(hAPP(c_in(X1),X2),X3)) ),
cls_ComplI_0 ).
cnf(c_0_11,axiom,
hAPP(c_COMBC(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),X2),
cls_COMBC__def_0 ).
cnf(c_0_12,axiom,
( ~ hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3))) ),
cls_ComplD_0 ).
cnf(c_0_13,plain,
( hBOOL(hAPP(c_COMBC(c_in(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3,X4,X5),X6))
| hBOOL(hAPP(hAPP(c_in(X1),X6),X2)) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2)) = X2,
cls_double__complement_0 ).
cnf(c_0_15,axiom,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X1)) ),
cls_mem__def_0 ).
cnf(c_0_16,plain,
( hBOOL(hAPP(c_COMBC(c_in(X1),X2,X3,X4,X5),X6))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X6),X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]) ).
cnf(c_0_17,plain,
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| hBOOL(hAPP(hAPP(c_in(X1),X3),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_18,plain,
( hBOOL(hAPP(X1,X2))
| ~ hBOOL(hAPP(c_COMBC(c_in(X3),X1,X4,X5,X6),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_11]) ).
cnf(c_0_19,plain,
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| hBOOL(hAPP(c_COMBC(c_in(X1),X2,X4,X5,X6),X3)) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_20,axiom,
( hBOOL(hAPP(hAPP(c_in(X1),X2),X3))
| ~ hBOOL(hAPP(X3,X2)) ),
cls_mem__def_1 ).
cnf(c_0_21,plain,
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| hBOOL(hAPP(X2,X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,axiom,
~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2)),
cls_bot1E_0 ).
cnf(c_0_23,axiom,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
cls_Compl__disjoint_0 ).
cnf(c_0_24,plain,
( hBOOL(hAPP(hAPP(c_in(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X3,tc_bool)),X4)))
| hBOOL(hAPP(X4,X2)) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,axiom,
hAPP(c_COMBS(X1,X2,X3,X4,X5),X6) = hAPP(hAPP(X1,X6),hAPP(X2,X6)),
cls_COMBS__def_0 ).
cnf(c_0_26,plain,
~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_nat,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),tc_nat),tc_fun(X1,tc_bool)),X2)),
inference(rw,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)) = c_Lattices_Olower__semilattice__class_Oinf(tc_nat,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),tc_nat),tc_fun(X2,tc_bool)),
inference(rw,[status(thm)],[c_0_23,c_0_23]) ).
cnf(c_0_28,plain,
( hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5),X6))
| hBOOL(hAPP(X6,X6)) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1),tc_fun(X2,tc_bool)),X3)),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,tc_fun(X3,tc_bool)),X4))
| ~ hBOOL(hAPP(X2,X4))
| ~ hBOOL(hAPP(X1,X4)) ),
cls_inf1I_0 ).
cnf(c_0_31,plain,
( hBOOL(hAPP(hAPP(X1,X2),X2))
| ~ hBOOL(hAPP(c_COMBS(c_in(X3),X1,X4,X5,X6),X2)) ),
inference(spm,[status(thm)],[c_0_15,c_0_25]) ).
cnf(c_0_32,plain,
hBOOL(hAPP(c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5),c_COMBS(c_in(X1),c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X3,X4,X5))),
inference(ef,[status(thm)],[c_0_28]) ).
cnf(c_0_33,plain,
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X2),X3))
| ~ hBOOL(hAPP(X2,X3)) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),c_COMBS(c_in(X2),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3,X4,X5)),c_COMBS(c_in(X2),c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X3,X4,X5))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_32])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SCT091-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 16:52:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.60 start to proof: theBenchmark
% 172.79/172.85 % Version : CSE_E---1.5
% 172.79/172.85 % Problem : theBenchmark.p
% 172.79/172.85 % Proof found
% 172.79/172.85 % SZS status Theorem for theBenchmark.p
% 172.79/172.85 % SZS output start Proof
% See solution above
% 172.79/172.86 % Total time : 172.130000 s
% 172.79/172.86 % SZS output end Proof
% 172.79/172.86 % Total time : 172.168000 s
%------------------------------------------------------------------------------