TSTP Solution File: SET863-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SET863-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 14:36:03 EDT 2023
% Result : Unsatisfiable 3.71s 3.82s
% Output : CNFRefutation 3.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 236
% Syntax : Number of formulae : 286 ( 22 unt; 212 typ; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 154 ( 69 ~; 85 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 425 ( 189 >; 236 *; 0 +; 0 <<)
% Number of predicates : 82 ( 81 usr; 1 prp; 0-3 aty)
% Number of functors : 131 ( 131 usr; 23 con; 0-6 aty)
% Number of variables : 136 ( 4 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Datatype_Oo2s: ( $i * $i ) > $i ).
tff(decl_23,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_Datatype_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_25,type,
c_Datatype_Ooption_ONone: $i ).
tff(decl_26,type,
c_Main_Onot__None__eq__iff1__1: ( $i * $i ) > $i ).
tff(decl_27,type,
c_Main_Onot__Some__eq__iff1__1: ( $i * $i ) > $i ).
tff(decl_28,type,
c_Datatype__Universe_OAtom: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
c_Datatype__Universe_OScons: ( $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Datatype__Universe_OIn0: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Datatype__Universe_OIn1: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Datatype__Universe_OLeaf: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Datatype__Universe_ONumb: ( $i * $i * $i ) > $i ).
tff(decl_34,type,
c_0: $i ).
tff(decl_35,type,
tc_nat: $i ).
tff(decl_36,type,
c_Divides_Oop_Advd: ( $i * $i * $i ) > $o ).
tff(decl_37,type,
c_emptyset: $i ).
tff(decl_38,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Extraction_Osumbool_OLeft: $i ).
tff(decl_40,type,
c_Extraction_Osumbool_ORight: $i ).
tff(decl_41,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_42,type,
tc_set: $i > $i ).
tff(decl_43,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Finite__Set_OFinites: $i ).
tff(decl_45,type,
c_Pow: ( $i * $i ) > $i ).
tff(decl_46,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_48,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_49,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
c_GCD_Ogcd: $i > $i ).
tff(decl_51,type,
c_UNIV: $i ).
tff(decl_52,type,
c_IntDef_Oint: $i > $i ).
tff(decl_53,type,
tc_IntDef_Oint: $i ).
tff(decl_54,type,
c_uminus: ( $i * $i ) > $i ).
tff(decl_55,type,
c_List_Olist_ONil: $i ).
tff(decl_56,type,
tc_List_Olist: $i > $i ).
tff(decl_57,type,
c_List_Olex: ( $i * $i ) > $i ).
tff(decl_58,type,
c_append: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_60,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_61,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_62,type,
c_List_Ochar_OChar: ( $i * $i ) > $i ).
tff(decl_63,type,
c_Nat_Osize: ( $i * $i ) > $i ).
tff(decl_64,type,
c_less: ( $i * $i * $i ) > $o ).
tff(decl_65,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_66,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Suc: $i > $i ).
tff(decl_68,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_69,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_70,type,
c_1: $i ).
tff(decl_71,type,
c_Numeral_Obit_OB0: $i ).
tff(decl_72,type,
c_Numeral_Obit_OB1: $i ).
tff(decl_73,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_74,type,
c_Relation_OId: $i ).
tff(decl_75,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_76,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_77,type,
c_SetInterval_OatLeast: ( $i * $i ) > $i ).
tff(decl_78,type,
class_Orderings_Oord: $i > $o ).
tff(decl_79,type,
c_SetInterval_OatMost: ( $i * $i ) > $i ).
tff(decl_80,type,
c_SetInterval_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_81,type,
c_SetInterval_OlessThan: ( $i * $i ) > $i ).
tff(decl_82,type,
c_inter: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
c_Inter: ( $i * $i ) > $i ).
tff(decl_84,type,
c_Union: ( $i * $i ) > $i ).
tff(decl_85,type,
c_Sum__Type_OInl: ( $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Sum__Type_OInr: ( $i * $i * $i ) > $i ).
tff(decl_87,type,
c_Wellfounded__Recursion_Oacyclic: ( $i * $i ) > $o ).
tff(decl_88,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_89,type,
c_Wellfounded__Recursion_Owf: ( $i * $i ) > $o ).
tff(decl_90,type,
c_Wellfounded__Relations_Oless__than: $i ).
tff(decl_91,type,
c_Datatype__Universe_Odprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
tc_Datatype__Universe_Onode: ( $i * $i ) > $i ).
tff(decl_93,type,
c_Main_OdprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Main_OdprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Main_OdprodE__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Main_OdprodE__4: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_Datatype__Universe_Odsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Main_OdsumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_Main_OdsumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_100,type,
c_Main_OdsumE__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_101,type,
c_Main_OdsumE__4: ( $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Datatype__Universe_Ouprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_Main_OuprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Main_OuprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_Datatype__Universe_Ousum: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
c_Main_OusumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_107,type,
c_Main_OusumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_108,type,
c_times: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_Divides_Oop_Amod: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_Main_Omod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_111,type,
c_Main_Ofinite__Union__1: ( $i * $i ) > $i ).
tff(decl_112,type,
c_Infinite__Set_Oatmost__one: ( $i * $i ) > $o ).
tff(decl_113,type,
c_Main_Ozmod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_114,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_115,type,
c_Main_Oin__listsI__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_List_Olistrel: ( $i * $i ) > $i ).
tff(decl_117,type,
c_Main_Olistrel__Cons1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
c_Main_Olistrel__Cons1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_119,type,
c_Main_Olistrel__Cons2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_120,type,
c_Main_Olistrel__Cons2__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
c_List_Olenlex: ( $i * $i ) > $i ).
tff(decl_122,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_123,type,
c_Main_ODomainE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_124,type,
c_Main_OIdE__1: ( $i * $i ) > $i ).
tff(decl_125,type,
c_Main_OImageE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_126,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_127,type,
c_Main_ORangeE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_128,type,
c_Main_OconverseE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_129,type,
c_Main_OconverseE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_130,type,
c_Relation_Odiag: ( $i * $i ) > $i ).
tff(decl_131,type,
c_Main_OdiagE__1: ( $i * $i * $i ) > $i ).
tff(decl_132,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_133,type,
c_Main_Orel__compE__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_134,type,
c_Main_Orel__compE__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_135,type,
c_Main_Orel__compE__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_136,type,
c_SetInterval_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_137,type,
c_SetInterval_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_138,type,
c_SetInterval_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_139,type,
c_SetInterval_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).
tff(decl_140,type,
c_Main_OInterI__1: ( $i * $i * $i ) > $i ).
tff(decl_141,type,
c_Main_OUnionE__1: ( $i * $i * $i ) > $i ).
tff(decl_142,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(decl_143,type,
c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).
tff(decl_144,type,
tc_sum: ( $i * $i ) > $i ).
tff(decl_145,type,
c_Main_OPlusE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_146,type,
c_Main_OPlusE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_147,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_148,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_149,type,
c_Wellfounded__Relations_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_150,type,
tc_Datatype_Ooption: $i > $i ).
tff(decl_151,type,
class_Finite__Set_Ofinite: $i > $o ).
tff(decl_152,type,
class_HOL_Ominus: $i > $o ).
tff(decl_153,type,
class_HOL_Oone: $i > $o ).
tff(decl_154,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_155,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_156,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_157,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_158,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_159,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_160,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_161,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_162,type,
class_Ring__and__Field_Osemiring__0__cancel: $i > $o ).
tff(decl_163,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_164,type,
class_HOL_Oplus: $i > $o ).
tff(decl_165,type,
class_Ring__and__Field_Ocomm__semiring__0__cancel: $i > $o ).
tff(decl_166,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_167,type,
class_Ring__and__Field_Oaxclass__0__neq__1: $i > $o ).
tff(decl_168,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_169,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_170,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_171,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_172,type,
class_Ring__and__Field_Osemiring__1__cancel: $i > $o ).
tff(decl_173,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_174,type,
class_Ring__and__Field_Ocomm__semiring__1__cancel: $i > $o ).
tff(decl_175,type,
class_HOL_Otimes: $i > $o ).
tff(decl_176,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_177,type,
class_LOrder_Omeet__semilorder: $i > $o ).
tff(decl_178,type,
class_LOrder_Ojoin__semilorder: $i > $o ).
tff(decl_179,type,
class_LOrder_Olorder: $i > $o ).
tff(decl_180,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_181,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_182,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_183,type,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_184,type,
class_HOL_Ozero: $i > $o ).
tff(decl_185,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_186,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_187,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_188,type,
class_Ring__and__Field_Opordered__comm__semiring: $i > $o ).
tff(decl_189,type,
class_Ring__and__Field_Opordered__cancel__comm__semiring: $i > $o ).
tff(decl_190,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_191,type,
class_Ring__and__Field_Oaxclass__abs__if: $i > $o ).
tff(decl_192,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_193,type,
class_OrderedGroup_Olordered__ab__group: $i > $o ).
tff(decl_194,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_195,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
tff(decl_196,type,
class_OrderedGroup_Olordered__ab__group__meet: $i > $o ).
tff(decl_197,type,
class_OrderedGroup_Olordered__ab__group__join: $i > $o ).
tff(decl_198,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_199,type,
class_Ring__and__Field_Oaxclass__no__zero__divisors: $i > $o ).
tff(decl_200,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_201,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_202,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_203,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_204,type,
class_Numeral_Onumber: $i > $o ).
tff(decl_205,type,
class_OrderedGroup_Osemigroup__add: $i > $o ).
tff(decl_206,type,
class_Numeral_Onumber__ring: $i > $o ).
tff(decl_207,type,
class_Divides_Odiv: $i > $o ).
tff(decl_208,type,
class_Nat_Opower: $i > $o ).
tff(decl_209,type,
class_Power_Orecpower: $i > $o ).
tff(decl_210,type,
class_Parity_Oeven__odd: $i > $o ).
tff(decl_211,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_212,type,
class_OrderedGroup_Osemigroup__mult: $i > $o ).
tff(decl_213,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_214,type,
tc_Product__Type_Ounit: $i ).
tff(decl_215,type,
tc_bool: $i ).
tff(decl_216,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_217,type,
class_Wellfounded__Recursion_Owellorder: $i > $o ).
tff(decl_218,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_219,type,
class_HOL_Oinverse: $i > $o ).
tff(decl_220,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_221,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_222,type,
class_Ring__and__Field_Opordered__comm__ring: $i > $o ).
tff(decl_223,type,
c_Zorn_OHausdorff__1: ( $i * $i ) > $i ).
tff(decl_224,type,
c_Zorn_Omaxchain: ( $i * $i ) > $i ).
tff(decl_225,type,
c_Zorn_Ochain: ( $i * $i ) > $i ).
tff(decl_226,type,
c_Zorn_Ochain__extend__1: ( $i * $i * $i ) > $i ).
tff(decl_227,type,
c_Zorn_Omaxchain__super__lemma__1: ( $i * $i * $i ) > $i ).
tff(decl_228,type,
v_c: $i ).
tff(decl_229,type,
v_S: $i ).
tff(decl_230,type,
t_a: $i ).
tff(decl_231,type,
v_y: $i ).
tff(decl_232,type,
v_x: $i ).
tff(decl_233,type,
v_xa: $i ).
cnf(cls_conjecture_7,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OPow__iff__iff2_0,axiom,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff2_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_SetInterval_OatMost__subset__iff__iff2_0,axiom,
( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__subset__iff__iff2_0) ).
cnf(cls_Set_OCompl__subset__Compl__iff__iff2_0,axiom,
( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OCompl__subset__Compl__iff__iff2_0) ).
cnf(cls_conjecture_4,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(clsarity_set_2,axiom,
class_Orderings_Oorder(tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_2) ).
cnf(cls_Set_OsubsetD_0,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
cnf(cls_Set_OPow__iff__iff1_0,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OPow__iff__iff1_0) ).
cnf(cls_Set_OComplI_0,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplI_0) ).
cnf(cls_SetInterval_OatMost__iff__iff1_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oord(X1)
| ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff1_0) ).
cnf(clsarity_set_1,axiom,
class_Orderings_Oord(tc_set(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',clsarity_set_1) ).
cnf(cls_SetInterval_OatMost__iff__iff2_0,axiom,
( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
| ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OatMost__iff__iff2_0) ).
cnf(cls_Zorn_Ochain__extend_0,axiom,
( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Set_OComplD__dest_0,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OComplD__dest_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Zorn_Ochain__extend_1,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
cnf(cls_Zorn_Omaxchain__super__lemma_0,axiom,
( c_in(X1,X6,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_5,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Zorn_Omaxchain__super__lemma_1,axiom,
( c_in(X1,X6,X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
cnf(cls_conjecture_6,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(c_0_24,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
cls_conjecture_7 ).
cnf(c_0_25,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_26,axiom,
( c_in(X1,c_Pow(X2,X3),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OPow__iff__iff2_0 ).
cnf(c_0_27,negated_conjecture,
( c_lessequals(c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),v_y,tc_set(t_a))
| c_lessequals(v_c,X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_29,negated_conjecture,
( c_lessequals(v_c,X1,tc_set(tc_set(t_a)))
| c_in(c_Main_OsubsetI__1(v_c,X1,tc_set(t_a)),c_Pow(v_y,t_a),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( c_lessequals(c_SetInterval_OatMost(X2,X1),c_SetInterval_OatMost(X3,X1),tc_set(X1))
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_SetInterval_OatMost__subset__iff__iff2_0 ).
cnf(c_0_31,axiom,
( c_lessequals(c_uminus(X2,tc_set(X3)),c_uminus(X1,tc_set(X3)),tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OCompl__subset__Compl__iff__iff2_0 ).
cnf(c_0_32,negated_conjecture,
c_lessequals(v_c,c_Pow(v_y,t_a),tc_set(tc_set(t_a))),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,plain,
( c_in(c_SetInterval_OatMost(X1,X2),c_Pow(c_SetInterval_OatMost(X3,X2),X2),tc_set(X2))
| ~ class_Orderings_Oorder(X2)
| ~ c_lessequals(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_26,c_0_30]) ).
cnf(c_0_34,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
cls_conjecture_4 ).
cnf(c_0_35,axiom,
class_Orderings_Oorder(tc_set(X1)),
clsarity_set_2 ).
cnf(c_0_36,axiom,
( c_in(X1,X4,X3)
| ~ c_in(X1,X2,X3)
| ~ c_lessequals(X2,X4,tc_set(X3)) ),
cls_Set_OsubsetD_0 ).
cnf(c_0_37,negated_conjecture,
c_lessequals(c_uminus(c_Pow(v_y,t_a),tc_set(tc_set(t_a))),c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(tc_set(t_a))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(X1,c_Pow(X2,X3),tc_set(X3)) ),
cls_Set_OPow__iff__iff1_0 ).
cnf(c_0_39,negated_conjecture,
c_in(c_SetInterval_OatMost(v_y,tc_set(t_a)),c_Pow(c_SetInterval_OatMost(v_x,tc_set(t_a)),tc_set(t_a)),tc_set(tc_set(t_a))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35])]) ).
cnf(c_0_40,negated_conjecture,
( c_in(X1,c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(t_a))
| ~ c_in(X1,c_uminus(c_Pow(v_y,t_a),tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,axiom,
( c_in(X1,X2,X3)
| c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
cls_Set_OComplI_0 ).
cnf(c_0_42,negated_conjecture,
c_lessequals(c_SetInterval_OatMost(v_y,tc_set(t_a)),c_SetInterval_OatMost(v_x,tc_set(t_a)),tc_set(tc_set(t_a))),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
( c_in(X1,c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X1,c_Pow(v_y,t_a),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_44,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oord(X1)
| ~ c_in(X2,c_SetInterval_OatMost(X3,X1),X1) ),
cls_SetInterval_OatMost__iff__iff1_0 ).
cnf(c_0_45,negated_conjecture,
( c_in(X1,c_SetInterval_OatMost(v_x,tc_set(t_a)),tc_set(t_a))
| ~ c_in(X1,c_SetInterval_OatMost(v_y,tc_set(t_a)),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_36,c_0_42]) ).
cnf(c_0_46,axiom,
class_Orderings_Oord(tc_set(X1)),
clsarity_set_1 ).
cnf(c_0_47,axiom,
( c_in(X2,c_SetInterval_OatMost(X3,X1),X1)
| ~ class_Orderings_Oord(X1)
| ~ c_lessequals(X2,X3,X1) ),
cls_SetInterval_OatMost__iff__iff2_0 ).
cnf(c_0_48,negated_conjecture,
( c_lessequals(X1,v_y,tc_set(t_a))
| c_in(X1,c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_38,c_0_43]) ).
cnf(c_0_49,negated_conjecture,
( c_lessequals(X1,v_x,tc_set(t_a))
| ~ c_in(X1,c_SetInterval_OatMost(v_y,tc_set(t_a)),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_46])]) ).
cnf(c_0_50,negated_conjecture,
( c_in(X1,c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(t_a))
| c_in(X1,c_SetInterval_OatMost(v_y,tc_set(t_a)),tc_set(t_a)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_46])]) ).
cnf(c_0_51,axiom,
( c_in(c_Zorn_Ochain__extend__1(X4,X1,X3),X4,tc_set(X3))
| c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3))) ),
cls_Zorn_Ochain__extend_0 ).
cnf(c_0_52,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_1 ).
cnf(c_0_53,axiom,
( ~ c_in(X1,X2,X3)
| ~ c_in(X1,c_uminus(X2,tc_set(X3)),X3) ),
cls_Set_OComplD__dest_0 ).
cnf(c_0_54,negated_conjecture,
( c_lessequals(X1,v_x,tc_set(t_a))
| c_in(X1,c_uminus(v_c,tc_set(tc_set(t_a))),tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_55,negated_conjecture,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,X1,t_a),v_c,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_56,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
cls_conjecture_3 ).
cnf(c_0_57,axiom,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_in(X1,X2,tc_set(X3))
| ~ c_in(X4,c_Zorn_Ochain(X2,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X4,X1,X3),X1,tc_set(X3)) ),
cls_Zorn_Ochain__extend_1 ).
cnf(c_0_58,negated_conjecture,
( c_lessequals(X1,v_x,tc_set(t_a))
| ~ c_in(X1,v_c,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_60,negated_conjecture,
( c_in(c_union(c_insert(X1,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(v_c,X1,t_a),X1,tc_set(t_a))
| ~ c_in(X1,v_S,tc_set(t_a)) ),
inference(spm,[status(thm)],[c_0_57,c_0_52]) ).
cnf(c_0_61,negated_conjecture,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_62,axiom,
( c_in(X1,X6,X3)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X4,tc_set(X3))
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3))) ),
cls_Zorn_Omaxchain__super__lemma_0 ).
cnf(c_0_63,negated_conjecture,
c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_56])]) ).
cnf(c_0_64,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_65,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X2,X1,t_a)
| ~ c_in(X2,v_x,t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]) ).
cnf(c_0_66,negated_conjecture,
c_in(v_xa,v_x,t_a),
cls_conjecture_5 ).
cnf(c_0_67,axiom,
( c_in(X1,X6,X3)
| ~ c_in(X1,X2,X3)
| ~ c_in(X4,c_Zorn_Omaxchain(X5,X3),tc_set(tc_set(X3)))
| ~ c_in(c_union(c_insert(X2,c_emptyset,tc_set(X3)),X4,tc_set(X3)),c_Zorn_Ochain(X5,X3),tc_set(tc_set(X3)))
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X4,X6,X3),X6,tc_set(X3)) ),
cls_Zorn_Omaxchain__super__lemma_1 ).
cnf(c_0_68,negated_conjecture,
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(v_xa,X1,t_a) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_69,negated_conjecture,
( c_in(X1,X2,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X1,v_x,t_a) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_63]),c_0_64])]) ).
cnf(c_0_70,negated_conjecture,
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_y,tc_set(t_a))
| c_in(v_xa,X1,t_a) ),
inference(spm,[status(thm)],[c_0_24,c_0_68]) ).
cnf(c_0_71,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
cls_conjecture_6 ).
cnf(c_0_72,negated_conjecture,
( c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x,t_a) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_71]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_66]),c_0_71]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET863-1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 13:10:41 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 3.71/3.82 % Version : CSE_E---1.5
% 3.71/3.82 % Problem : theBenchmark.p
% 3.71/3.82 % Proof found
% 3.71/3.82 % SZS status Theorem for theBenchmark.p
% 3.71/3.82 % SZS output start Proof
% See solution above
% 3.81/3.83 % Total time : 3.222000 s
% 3.81/3.83 % SZS output end Proof
% 3.81/3.83 % Total time : 3.244000 s
%------------------------------------------------------------------------------