TSTP Solution File: ANA026-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : ANA026-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 : Wed Aug 30 17:13:58 EDT 2023
% Result : Unsatisfiable 7.80s 7.87s
% Output : CNFRefutation 7.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 369
% Syntax : Number of formulae : 510 ( 19 unt; 325 typ; 0 def)
% Number of atoms : 450 ( 75 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 538 ( 273 ~; 265 |; 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 : 672 ( 279 >; 393 *; 0 +; 0 <<)
% Number of predicates : 88 ( 86 usr; 1 prp; 0-3 aty)
% Number of functors : 239 ( 239 usr; 46 con; 0-18 aty)
% Number of variables : 337 ( 12 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
class_HOL_Oplus: $i > $o ).
tff(decl_23,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_25,type,
c_SetsAndFunctions_Oelt__set__plus: ( $i * $i * $i ) > $i ).
tff(decl_26,type,
tc_set: $i > $i ).
tff(decl_27,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_29,type,
class_HOL_Otimes: $i > $o ).
tff(decl_30,type,
c_times: ( $i * $i * $i ) > $i ).
tff(decl_31,type,
c_SetsAndFunctions_Oelt__set__times: ( $i * $i * $i ) > $i ).
tff(decl_32,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_33,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_34,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_35,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_36,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_37,type,
class_OrderedGroup_Osemigroup__mult: $i > $o ).
tff(decl_38,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_39,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_40,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_41,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_42,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_43,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_44,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_45,type,
class_Ring__and__Field_Osemiring__0__cancel: $i > $o ).
tff(decl_46,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_47,type,
class_Ring__and__Field_Ocomm__semiring__0__cancel: $i > $o ).
tff(decl_48,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_49,type,
class_Ring__and__Field_Oaxclass__0__neq__1: $i > $o ).
tff(decl_50,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_51,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_52,type,
class_Ring__and__Field_Osemiring__1__cancel: $i > $o ).
tff(decl_53,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_54,type,
class_Ring__and__Field_Ocomm__semiring__1__cancel: $i > $o ).
tff(decl_55,type,
class_HOL_Ominus: $i > $o ).
tff(decl_56,type,
class_HOL_Ozero: $i > $o ).
tff(decl_57,type,
class_HOL_Oone: $i > $o ).
tff(decl_58,type,
class_OrderedGroup_Osemigroup__add: $i > $o ).
tff(decl_59,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_60,type,
c_0: $i ).
tff(decl_61,type,
c_Suc: $i > $i ).
tff(decl_62,type,
c_Binomial_Obinomial: ( $i * $i ) > $i ).
tff(decl_63,type,
tc_nat: $i ).
tff(decl_64,type,
c_1: $i ).
tff(decl_65,type,
c_Datatype_Oo2s: ( $i * $i ) > $i ).
tff(decl_66,type,
c_Datatype_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_67,type,
c_Datatype_Ooption_ONone: $i ).
tff(decl_68,type,
c_Main_Onot__None__eq__1: ( $i * $i ) > $i ).
tff(decl_69,type,
c_Main_Onot__Some__eq__1: ( $i * $i ) > $i ).
tff(decl_70,type,
c_emptyset: $i ).
tff(decl_71,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
tc_Datatype_Ooption: $i > $i ).
tff(decl_73,type,
c_Nat_Osize: ( $i * $i ) > $i ).
tff(decl_74,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_75,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_76,type,
c_Sum__Type_OInl: ( $i * $i * $i ) > $i ).
tff(decl_77,type,
tc_sum: ( $i * $i ) > $i ).
tff(decl_78,type,
c_Sum__Type_OInr: ( $i * $i * $i ) > $i ).
tff(decl_79,type,
c_Datatype_Othe: ( $i * $i ) > $i ).
tff(decl_80,type,
c_Product__Type_OUnity: $i ).
tff(decl_81,type,
c_Datatype_Ounit_Ounit__case: ( $i * $i * $i ) > $i ).
tff(decl_82,type,
c_Datatype_Ounit_Ounit__rec: ( $i * $i * $i ) > $i ).
tff(decl_83,type,
tc_Product__Type_Ounit: $i ).
tff(decl_84,type,
c_Datatype__Universe_OAtom: ( $i * $i * $i ) > $i ).
tff(decl_85,type,
c_Datatype__Universe_OScons: ( $i * $i * $i * $i ) > $i ).
tff(decl_86,type,
c_Datatype__Universe_Odprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_87,type,
tc_Datatype__Universe_Onode: ( $i * $i ) > $i ).
tff(decl_88,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
c_Datatype__Universe_Ouprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Datatype__Universe_Odsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_91,type,
c_Datatype__Universe_Ousum: ( $i * $i * $i * $i ) > $i ).
tff(decl_92,type,
c_Datatype__Universe_OIn0: ( $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Datatype__Universe_OIn1: ( $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Datatype__Universe_OLeaf: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Datatype__Universe_ONumb: ( $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Datatype__Universe_Ontrunc: ( $i * $i * $i * $i ) > $i ).
tff(decl_97,type,
c_div: ( $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Divides_Oop_Amod: ( $i * $i * $i ) > $i ).
tff(decl_99,type,
c_less: ( $i * $i * $i ) > $o ).
tff(decl_100,type,
c_Divides_Oop_Advd: ( $i * $i * $i ) > $o ).
tff(decl_101,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Extraction_Osumbool_OLeft: $i ).
tff(decl_103,type,
c_Extraction_Osumbool_Osumbool__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Extraction_Osumbool_ORight: $i ).
tff(decl_105,type,
c_Extraction_Osumbool_Osumbool__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_106,type,
tc_Extraction_Osumbool: $i ).
tff(decl_107,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_108,type,
c_Finite__Set_OFinites: $i ).
tff(decl_109,type,
c_Finite__Set_OMax: ( $i * $i ) > $i ).
tff(decl_110,type,
c_Orderings_Omax: ( $i * $i * $i ) > $i ).
tff(decl_111,type,
c_Main_OMax__le__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_112,type,
c_Main_OMax__less__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
c_Finite__Set_OMin: ( $i * $i ) > $i ).
tff(decl_114,type,
c_Main_OMin__ge__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Main_OMin__gr__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Orderings_Omin: ( $i * $i * $i ) > $i ).
tff(decl_117,type,
c_Finite__Set_Ocard: ( $i * $i ) > $i ).
tff(decl_118,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(decl_119,type,
c_Pow: ( $i * $i ) > $i ).
tff(decl_120,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_121,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_122,type,
c_NatArith_Oof__nat: ( $i * $i ) > $i ).
tff(decl_123,type,
c_Fun_Oid: ( $i * $i ) > $i ).
tff(decl_124,type,
c_GCD_Ogcd: $i > $i ).
tff(decl_125,type,
c_UNIV: $i ).
tff(decl_126,type,
class_Numeral_Onumber__ring: $i > $o ).
tff(decl_127,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_128,type,
c_Numeral_OMin: $i ).
tff(decl_129,type,
c_Numeral_Onumber__of: ( $i * $i ) > $i ).
tff(decl_130,type,
c_HOL_Oabs: ( $i * $i ) > $i ).
tff(decl_131,type,
class_Power_Orecpower: $i > $o ).
tff(decl_132,type,
c_Nat_Opower: ( $i * $i * $i ) > $i ).
tff(decl_133,type,
c_Numeral_OPls: $i ).
tff(decl_134,type,
c_Numeral_Obin__minus: $i > $i ).
tff(decl_135,type,
c_Numeral_Obin__add: ( $i * $i ) > $i ).
tff(decl_136,type,
c_IntDef_Oneg: ( $i * $i ) > $o ).
tff(decl_137,type,
c_Numeral_Obit_OB1: $i ).
tff(decl_138,type,
c_Numeral_OBit: ( $i * $i ) > $i ).
tff(decl_139,type,
c_Numeral_Obit_OB0: $i ).
tff(decl_140,type,
c_IntDef_Oiszero: ( $i * $i ) > $o ).
tff(decl_141,type,
c_IntDef_Oint: $i > $i ).
tff(decl_142,type,
tc_IntDef_Oint: $i ).
tff(decl_143,type,
c_IntDef_Onat: $i > $i ).
tff(decl_144,type,
c_IntDef_Oof__int: ( $i * $i ) > $i ).
tff(decl_145,type,
c_uminus: ( $i * $i ) > $i ).
tff(decl_146,type,
c_IntDef_OInteg: $i ).
tff(decl_147,type,
c_IntDef_OAbs__Integ: $i > $i ).
tff(decl_148,type,
c_IntDef_ORep__Integ: $i > $i ).
tff(decl_149,type,
c_IntDef_OInts: $i ).
tff(decl_150,type,
c_IntDef_ONats: $i ).
tff(decl_151,type,
c_IntDef_Ointrel: $i ).
tff(decl_152,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_153,type,
c_IntDiv_OposDivAlg: $i > $i ).
tff(decl_154,type,
c_IntDiv_OnegateSnd: $i > $i ).
tff(decl_155,type,
c_fst: ( $i * $i * $i ) > $i ).
tff(decl_156,type,
c_IntDiv_OnegDivAlg: $i > $i ).
tff(decl_157,type,
c_snd: ( $i * $i * $i ) > $i ).
tff(decl_158,type,
c_IntDiv_Oadjust: ( $i * $i ) > $i ).
tff(decl_159,type,
class_LOrder_Ojoin__semilorder: $i > $o ).
tff(decl_160,type,
c_LOrder_Ojoin: ( $i * $i * $i ) > $i ).
tff(decl_161,type,
class_LOrder_Omeet__semilorder: $i > $o ).
tff(decl_162,type,
c_LOrder_Omeet: ( $i * $i * $i ) > $i ).
tff(decl_163,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_164,type,
tc_List_Olist: $i > $i ).
tff(decl_165,type,
c_List_Olex: ( $i * $i ) > $i ).
tff(decl_166,type,
c_List_Olist_ONil: $i ).
tff(decl_167,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_168,type,
c_List_Oconcat: ( $i * $i ) > $i ).
tff(decl_169,type,
c_Main_ONil__eq__concat__conv__1: ( $i * $i ) > $i ).
tff(decl_170,type,
c_append: ( $i * $i * $i ) > $i ).
tff(decl_171,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_172,type,
c_List_Obutlast: ( $i * $i ) > $i ).
tff(decl_173,type,
c_List_Olast: ( $i * $i ) > $i ).
tff(decl_174,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_175,type,
c_List_Otake: ( $i * $i * $i ) > $i ).
tff(decl_176,type,
c_List_Odrop: ( $i * $i * $i ) > $i ).
tff(decl_177,type,
c_List_Ochar_OChar: ( $i * $i ) > $i ).
tff(decl_178,type,
tc_List_Ochar: $i ).
tff(decl_179,type,
c_Main_Oconcat__eq__Nil__conv__1: ( $i * $i ) > $i ).
tff(decl_180,type,
c_List_Orotate1: ( $i * $i ) > $i ).
tff(decl_181,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_182,type,
c_inter: ( $i * $i * $i ) > $i ).
tff(decl_183,type,
c_List_Oremove1: ( $i * $i * $i ) > $i ).
tff(decl_184,type,
c_List_Orotate: ( $i * $i * $i ) > $i ).
tff(decl_185,type,
c_List_Osublist: ( $i * $i * $i ) > $i ).
tff(decl_186,type,
c_List_Oupt: ( $i * $i ) > $i ).
tff(decl_187,type,
c_List_Oreplicate: ( $i * $i * $i ) > $i ).
tff(decl_188,type,
c_List_Ohd: ( $i * $i ) > $i ).
tff(decl_189,type,
c_List_Otl: ( $i * $i ) > $i ).
tff(decl_190,type,
c_List_Oitrev: ( $i * $i * $i ) > $i ).
tff(decl_191,type,
c_List_Olist__update: ( $i * $i * $i * $i ) > $i ).
tff(decl_192,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_193,type,
c_List_Ozip: ( $i * $i * $i * $i ) > $i ).
tff(decl_194,type,
c_List_Olexn: ( $i * $i * $i ) > $i ).
tff(decl_195,type,
c_List_Olexord: ( $i * $i ) > $i ).
tff(decl_196,type,
c_Main_Olexord__Nil__left__1: ( $i * $i ) > $i ).
tff(decl_197,type,
c_Main_Olexord__Nil__left__2: ( $i * $i ) > $i ).
tff(decl_198,type,
c_List_Olist__inter: ( $i * $i * $i ) > $i ).
tff(decl_199,type,
c_List_Onth: ( $i * $i * $i ) > $i ).
tff(decl_200,type,
c_List_Olistrel: ( $i * $i ) > $i ).
tff(decl_201,type,
c_List_Olistset: ( $i * $i ) > $i ).
tff(decl_202,type,
c_List_Oset__Cons: ( $i * $i * $i ) > $i ).
tff(decl_203,type,
c_List_Onibble_ONibble9: $i ).
tff(decl_204,type,
c_List_Onibble_Onibble__case: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_205,type,
c_List_Onibble_ONibbleA: $i ).
tff(decl_206,type,
c_List_Onibble_ONibbleB: $i ).
tff(decl_207,type,
c_List_Onibble_ONibbleC: $i ).
tff(decl_208,type,
c_List_Onibble_ONibbleD: $i ).
tff(decl_209,type,
c_List_Onibble_ONibbleE: $i ).
tff(decl_210,type,
c_List_Onibble_ONibbleF: $i ).
tff(decl_211,type,
c_List_Onibble_ONibble0: $i ).
tff(decl_212,type,
c_List_Onibble_ONibble1: $i ).
tff(decl_213,type,
c_List_Onibble_ONibble2: $i ).
tff(decl_214,type,
c_List_Onibble_ONibble3: $i ).
tff(decl_215,type,
c_List_Onibble_ONibble4: $i ).
tff(decl_216,type,
c_List_Onibble_ONibble5: $i ).
tff(decl_217,type,
c_List_Onibble_ONibble6: $i ).
tff(decl_218,type,
c_List_Onibble_ONibble7: $i ).
tff(decl_219,type,
c_List_Onibble_ONibble8: $i ).
tff(decl_220,type,
c_List_Onibble_Onibble__rec: ( $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_221,type,
tc_List_Onibble: $i ).
tff(decl_222,type,
c_List_Onull: ( $i * $i ) > $o ).
tff(decl_223,type,
c_List_Oop_Amem: ( $i * $i * $i ) > $o ).
tff(decl_224,type,
c_SetInterval_OlessThan: ( $i * $i ) > $i ).
tff(decl_225,type,
c_Map_Omap__of: ( $i * $i * $i * $i ) > $i ).
tff(decl_226,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_227,type,
c_Numeral_Obin__succ: $i > $i ).
tff(decl_228,type,
c_Numeral_Obin__mult: ( $i * $i ) > $i ).
tff(decl_229,type,
class_Numeral_Onumber: $i > $o ).
tff(decl_230,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_231,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_232,type,
c_divide: ( $i * $i * $i ) > $i ).
tff(decl_233,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_234,type,
c_HOL_Oinverse: ( $i * $i ) > $i ).
tff(decl_235,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_236,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_237,type,
c_Numeral_Obin__pred: $i > $i ).
tff(decl_238,type,
c_Numeral_Obit_Obit__case: ( $i * $i * $i * $i ) > $i ).
tff(decl_239,type,
c_Numeral_Obit_Obit__rec: ( $i * $i * $i * $i ) > $i ).
tff(decl_240,type,
tc_Numeral_Obit: $i ).
tff(decl_241,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
tff(decl_242,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_243,type,
class_OrderedGroup_Olordered__ab__group: $i > $o ).
tff(decl_244,type,
c_OrderedGroup_Onprt: ( $i * $i ) > $i ).
tff(decl_245,type,
c_OrderedGroup_Opprt: ( $i * $i ) > $i ).
tff(decl_246,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_247,type,
c_Parity_Oeven: ( $i * $i ) > $o ).
tff(decl_248,type,
c_Main_Osurj__pair__1: ( $i * $i * $i ) > $i ).
tff(decl_249,type,
c_Main_Osurj__pair__2: ( $i * $i * $i ) > $i ).
tff(decl_250,type,
c_Relation_OId: $i ).
tff(decl_251,type,
c_Relation_Odiag: ( $i * $i ) > $i ).
tff(decl_252,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_253,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_254,type,
c_SetInterval_OatLeast: ( $i * $i ) > $i ).
tff(decl_255,type,
c_SetInterval_OatMost: ( $i * $i ) > $i ).
tff(decl_256,type,
c_SetInterval_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_257,type,
c_SetInterval_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_258,type,
class_Orderings_Oord: $i > $o ).
tff(decl_259,type,
c_SetInterval_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_260,type,
c_SetInterval_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_261,type,
c_SetInterval_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).
tff(decl_262,type,
c_Inter: ( $i * $i ) > $i ).
tff(decl_263,type,
c_Main_OInter__UNIV__conv__1__1: ( $i * $i ) > $i ).
tff(decl_264,type,
c_Main_OInter__UNIV__conv__2__1: ( $i * $i ) > $i ).
tff(decl_265,type,
c_Main_OInter__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_266,type,
c_Union: ( $i * $i ) > $i ).
tff(decl_267,type,
c_Main_OUnion__empty__conv__1: ( $i * $i ) > $i ).
tff(decl_268,type,
c_Main_OUnion__iff__1: ( $i * $i * $i ) > $i ).
tff(decl_269,type,
c_Main_Oall__not__in__conv__1: ( $i * $i ) > $i ).
tff(decl_270,type,
c_Set_Ocontents: ( $i * $i ) > $i ).
tff(decl_271,type,
c_Main_Oempty__Union__conv__1: ( $i * $i ) > $i ).
tff(decl_272,type,
c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).
tff(decl_273,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_274,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_275,type,
c_Wellfounded__Recursion_Oacyclic: ( $i * $i ) > $o ).
tff(decl_276,type,
c_Wellfounded__Recursion_Owf: ( $i * $i ) > $o ).
tff(decl_277,type,
c_Wellfounded__Relations_Oless__than: $i ).
tff(decl_278,type,
c_Main_OdprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_279,type,
c_Main_OdprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_280,type,
c_Main_OdprodE__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_281,type,
c_Main_OdprodE__4: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_282,type,
c_Main_OdsumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_283,type,
c_Main_OdsumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_284,type,
c_Main_OdsumE__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_285,type,
c_Main_OdsumE__4: ( $i * $i * $i * $i ) > $i ).
tff(decl_286,type,
c_Main_OuprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_287,type,
c_Main_OuprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_288,type,
c_Main_OusumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_289,type,
c_Main_OusumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_290,type,
c_Main_Omod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_291,type,
c_Main_Ofinite__Union__1: ( $i * $i ) > $i ).
tff(decl_292,type,
c_Infinite__Set_Oatmost__one: ( $i * $i ) > $o ).
tff(decl_293,type,
c_Main_Ozmod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_294,type,
c_Main_Oin__listsI__1: ( $i * $i * $i ) > $i ).
tff(decl_295,type,
c_Main_Olistrel__Cons1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_296,type,
c_Main_Olistrel__Cons1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_297,type,
c_Main_Olistrel__Cons2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_298,type,
c_Main_Olistrel__Cons2__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_299,type,
c_List_Olenlex: ( $i * $i ) > $i ).
tff(decl_300,type,
c_Main_ODomainE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_301,type,
c_Main_OIdE__1: ( $i * $i ) > $i ).
tff(decl_302,type,
c_Main_OImageE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_303,type,
c_Main_ORangeE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_304,type,
c_Main_OconverseE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_305,type,
c_Main_OconverseE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_306,type,
c_Main_OdiagE__1: ( $i * $i * $i ) > $i ).
tff(decl_307,type,
c_Main_Orel__compE__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_308,type,
c_Main_Orel__compE__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_309,type,
c_Main_Orel__compE__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_310,type,
c_Main_OInterI__1: ( $i * $i * $i ) > $i ).
tff(decl_311,type,
c_Main_OUnionE__1: ( $i * $i * $i ) > $i ).
tff(decl_312,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(decl_313,type,
c_Main_OPlusE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_314,type,
c_Main_OPlusE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_315,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_316,type,
c_Wellfounded__Relations_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_317,type,
class_Finite__Set_Ofinite: $i > $o ).
tff(decl_318,type,
class_LOrder_Olorder: $i > $o ).
tff(decl_319,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_320,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_321,type,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_322,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_323,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_324,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_325,type,
class_Ring__and__Field_Opordered__comm__semiring: $i > $o ).
tff(decl_326,type,
class_Ring__and__Field_Opordered__cancel__comm__semiring: $i > $o ).
tff(decl_327,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_328,type,
class_Ring__and__Field_Oaxclass__abs__if: $i > $o ).
tff(decl_329,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_330,type,
class_OrderedGroup_Olordered__ab__group__meet: $i > $o ).
tff(decl_331,type,
class_OrderedGroup_Olordered__ab__group__join: $i > $o ).
tff(decl_332,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_333,type,
class_Ring__and__Field_Oaxclass__no__zero__divisors: $i > $o ).
tff(decl_334,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_335,type,
class_Divides_Odiv: $i > $o ).
tff(decl_336,type,
class_Nat_Opower: $i > $o ).
tff(decl_337,type,
class_Parity_Oeven__odd: $i > $o ).
tff(decl_338,type,
tc_bool: $i ).
tff(decl_339,type,
class_Wellfounded__Recursion_Owellorder: $i > $o ).
tff(decl_340,type,
class_HOL_Oinverse: $i > $o ).
tff(decl_341,type,
class_Ring__and__Field_Opordered__comm__ring: $i > $o ).
tff(decl_342,type,
v_k: $i > $i ).
tff(decl_343,type,
t_b: $i ).
tff(decl_344,type,
v_g: $i > $i ).
tff(decl_345,type,
v_x: $i ).
tff(decl_346,type,
v_f: $i > $i ).
cnf(cls_Orderings_Oorder__class_Oaxioms__1_0,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_OrderedGroup_Onprt__eq__0_0,axiom,
( c_OrderedGroup_Onprt(X2,X1) = c_0
| ~ class_OrderedGroup_Olordered__ab__group(X1)
| ~ c_lessequals(c_0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__eq__0_0) ).
cnf(cls_OrderedGroup_Onprt__eq__id_0,axiom,
( c_OrderedGroup_Onprt(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group(X1)
| ~ c_lessequals(X2,c_0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Onprt__eq__id_0) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1,axiom,
( c_lessequals(X3,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2,axiom,
( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2) ).
cnf(cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0,axiom,
( c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_53,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_53) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_33,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_33) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_0,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Olordered__ab__group__abs_0) ).
cnf(cls_OrderedGroup_Oabs__of__nonneg_0,axiom,
( c_HOL_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonneg_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_OrderedGroup_Oadd__0__right_0,axiom,
( c_plus(X2,c_0,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__0__right_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_23,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_23) ).
cnf(cls_OrderedGroup_Oneg__le__0__iff__le_1,axiom,
( c_lessequals(c_uminus(X2,X1),c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__0__iff__le_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_54,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_54) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__left_0,axiom,
( c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__left_0) ).
cnf(cls_OrderedGroup_Oneg__0__le__iff__le_1,axiom,
( c_lessequals(c_0,c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_37,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_37) ).
cnf(cls_OrderedGroup_Ominus__minus_0,axiom,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__minus_0) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_4,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_4) ).
cnf(cls_OrderedGroup_Oright__minus_0,axiom,
( c_plus(X2,c_uminus(X2,X1),X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oright__minus_0) ).
cnf(cls_OrderedGroup_Oneg__equal__iff__equal_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(X2,X1) != c_uminus(X3,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__equal__iff__equal_0) ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_OrderedGroup_Oabs__of__nonpos_0,axiom,
( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(X2,c_0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oabs__of__nonpos_0) ).
cnf(cls_OrderedGroup_Oneg__le__0__iff__le_0,axiom,
( c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_uminus(X2,X1),c_0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__le__0__iff__le_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Orderings_Olinorder__not__le_0,axiom,
( c_less(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Olinorder__not__le_0) ).
cnf(cls_OrderedGroup_Oneg__0__le__iff__le_0,axiom,
( c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oneg__0__le__iff__le_0) ).
cnf(cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0,axiom,
( c_plus(c_0,X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
cnf(cls_OrderedGroup_Oadd__le__cancel__right_0,axiom,
( c_lessequals(X2,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oadd__le__cancel__right_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__11_1,axiom,
( X2 = c_minus(c_plus(X2,X3,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__11_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__10_0,axiom,
( X2 = c_plus(c_minus(X2,X3,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
cnf(cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0,axiom,
( c_plus(c_uminus(X2,X1),X2,X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0) ).
cnf(cls_OrderedGroup_Ominus__diff__eq_0,axiom,
( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Ominus__diff__eq_0) ).
cnf(cls_OrderedGroup_Odiff__eq__0__iff__eq_0,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X3,X1) != c_0 ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-1.ax',cls_OrderedGroup_Odiff__eq__0__iff__eq_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__4_0,axiom,
( c_minus(c_minus(X2,X3,X1),X4,X1) = c_minus(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__4_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_1,axiom,
( c_lessequals(X2,c_minus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),X4,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
cnf(cls_OrderedGroup_Ocompare__rls__9_0,axiom,
( c_lessequals(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_minus(X3,X4,X1),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
cnf(cls_OrderedGroup_Ocompare__rls__5_0,axiom,
( c_minus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__5_0) ).
cnf(clsrel_OrderedGroup_Opordered__ab__group__add_0,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_OrderedGroup_Opordered__ab__group__add_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c_0_44,axiom,
( c_lessequals(X2,X2,X1)
| ~ class_Orderings_Oorder(X1) ),
cls_Orderings_Oorder__class_Oaxioms__1_0 ).
cnf(c_0_45,axiom,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_44 ).
cnf(c_0_46,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_47,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_48,axiom,
( c_OrderedGroup_Onprt(X2,X1) = c_0
| ~ class_OrderedGroup_Olordered__ab__group(X1)
| ~ c_lessequals(c_0,X2,X1) ),
cls_OrderedGroup_Onprt__eq__0_0 ).
cnf(c_0_49,axiom,
( c_OrderedGroup_Onprt(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group(X1)
| ~ c_lessequals(X2,c_0,X1) ),
cls_OrderedGroup_Onprt__eq__id_0 ).
cnf(c_0_50,axiom,
( c_lessequals(X3,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_1 ).
cnf(c_0_51,negated_conjecture,
c_lessequals(X1,X1,t_b),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_52,plain,
( X1 = c_0
| ~ class_OrderedGroup_Olordered__ab__group(X2)
| ~ c_lessequals(c_0,X1,X2)
| ~ c_lessequals(X1,c_0,X2) ),
inference(spm,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( c_lessequals(X1,c_Orderings_Omax(X2,X1,t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_54,negated_conjecture,
( c_Orderings_Omax(X1,c_0,t_b) = c_0
| ~ class_OrderedGroup_Olordered__ab__group(t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_Orderings_Omax(X1,c_0,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_55,axiom,
( c_lessequals(c_Orderings_Omax(X4,X2,X1),X3,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X3,X1) ),
cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_2 ).
cnf(c_0_56,axiom,
( c_lessequals(X2,X4,X1)
| ~ class_Orderings_Olinorder(X1)
| ~ c_lessequals(c_Orderings_Omax(X2,X3,X1),X4,X1) ),
cls_Orderings_Omin__max_Obelow__sup_Oabove__sup__conv_0 ).
cnf(c_0_57,negated_conjecture,
( c_Orderings_Omax(X1,c_0,t_b) = c_0
| ~ class_OrderedGroup_Olordered__ab__group(t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_51])]) ).
cnf(c_0_58,negated_conjecture,
( c_lessequals(X1,X2,t_b)
| ~ class_OrderedGroup_Olordered__ab__group(t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_59,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_53 ).
cnf(c_0_60,negated_conjecture,
( c_lessequals(X1,X2,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_47])]) ).
cnf(c_0_61,axiom,
( class_Orderings_Olinorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_33 ).
cnf(c_0_62,negated_conjecture,
( c_lessequals(X1,X2,t_b)
| ~ c_lessequals(c_0,X2,t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_47])]) ).
cnf(c_0_63,axiom,
( c_lessequals(c_0,c_HOL_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
cls_OrderedGroup_Oabs__ge__zero_0 ).
cnf(c_0_64,negated_conjecture,
( c_lessequals(X1,c_HOL_Oabs(X2,t_b),t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_65,axiom,
( class_OrderedGroup_Olordered__ab__group(X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
clsrel_OrderedGroup_Olordered__ab__group__abs_0 ).
cnf(c_0_66,axiom,
( c_HOL_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(c_0,X2,X1) ),
cls_OrderedGroup_Oabs__of__nonneg_0 ).
cnf(c_0_67,axiom,
( class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_50 ).
cnf(c_0_68,axiom,
( c_plus(X2,c_0,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_OrderedGroup_Oadd__0__right_0 ).
cnf(c_0_69,axiom,
( class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_23 ).
cnf(c_0_70,negated_conjecture,
( c_HOL_Oabs(X1,t_b) = c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_HOL_Oabs(X1,t_b),c_0,t_b) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_64]),c_0_51])]),c_0_65]) ).
cnf(c_0_71,plain,
( c_HOL_Oabs(X1,X2) = X1
| ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(c_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,plain,
( c_plus(X1,c_0,X2) = X1
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( X1 = c_0
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_47])]) ).
cnf(c_0_74,axiom,
( c_lessequals(c_uminus(X2,X1),c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,X2,X1) ),
cls_OrderedGroup_Oneg__le__0__iff__le_1 ).
cnf(c_0_75,axiom,
( class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_54 ).
cnf(c_0_76,axiom,
( c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X2,X4,X1),X1) ),
cls_OrderedGroup_Oadd__le__cancel__left_0 ).
cnf(c_0_77,negated_conjecture,
c_plus(X1,c_0,t_b) = X1,
inference(spm,[status(thm)],[c_0_72,c_0_47]) ).
cnf(c_0_78,negated_conjecture,
( X1 = c_0
| ~ c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_67]),c_0_47])]) ).
cnf(c_0_79,plain,
( c_lessequals(c_uminus(X1,X2),c_0,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(c_0,X1,X2) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,axiom,
( c_lessequals(c_0,c_uminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_0,X1) ),
cls_OrderedGroup_Oneg__0__le__iff__le_1 ).
cnf(c_0_81,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| ~ c_lessequals(c_plus(X2,X1,t_b),X2,t_b) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_37 ).
cnf(c_0_83,negated_conjecture,
( c_uminus(X1,t_b) = c_0
| ~ c_lessequals(c_0,c_uminus(X1,t_b),t_b)
| ~ c_lessequals(c_0,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_79]),c_0_47])]) ).
cnf(c_0_84,plain,
( c_lessequals(c_0,c_uminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X1,c_0,X2) ),
inference(spm,[status(thm)],[c_0_80,c_0_75]) ).
cnf(c_0_85,axiom,
( c_uminus(c_uminus(X2,X1),X1) = X2
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ominus__minus_0 ).
cnf(c_0_86,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_4 ).
cnf(c_0_87,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_plus(X2,X1,t_b),X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_82]),c_0_47])]) ).
cnf(c_0_88,negated_conjecture,
( c_lessequals(X1,c_Orderings_Omax(X2,c_0,t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_62,c_0_53]) ).
cnf(c_0_89,axiom,
( c_plus(X2,c_uminus(X2,X1),X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Oright__minus_0 ).
cnf(c_0_90,negated_conjecture,
( c_uminus(X1,t_b) = c_0
| ~ c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_47])]) ).
cnf(c_0_91,plain,
( c_uminus(c_uminus(X1,X2),X2) = X1
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_92,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_plus(c_Orderings_Omax(X2,c_0,t_b),X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_93,plain,
( c_plus(X1,c_uminus(X1,X2),X2) = c_0
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_89,c_0_86]) ).
cnf(c_0_94,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_uminus(X2,X1) != c_uminus(X3,X1) ),
cls_OrderedGroup_Oneg__equal__iff__equal_0 ).
cnf(c_0_95,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X3,X1) ),
cls_Orderings_Oorder__less__imp__le_0 ).
cnf(c_0_96,negated_conjecture,
( X1 = c_0
| ~ c_lessequals(c_0,c_uminus(X1,t_b),t_b)
| ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_47])]) ).
cnf(c_0_97,negated_conjecture,
( c_lessequals(c_uminus(c_Orderings_Omax(X1,c_0,t_b),t_b),c_0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_93]),c_0_51]),c_0_47])]) ).
cnf(c_0_98,plain,
( X1 = X2
| c_uminus(X1,X3) != c_uminus(X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_94,c_0_86]) ).
cnf(c_0_99,plain,
( c_lessequals(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_less(X1,X2,X3) ),
inference(spm,[status(thm)],[c_0_95,c_0_45]) ).
cnf(c_0_100,negated_conjecture,
( c_Orderings_Omax(X1,c_0,t_b) = c_0
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_uminus(c_Orderings_Omax(X1,c_0,t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_96,c_0_97]) ).
cnf(c_0_101,axiom,
( c_HOL_Oabs(X2,X1) = c_uminus(X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__abs(X1)
| ~ c_lessequals(X2,c_0,X1) ),
cls_OrderedGroup_Oabs__of__nonpos_0 ).
cnf(c_0_102,negated_conjecture,
( X1 = X2
| c_uminus(X1,t_b) != c_uminus(X2,t_b) ),
inference(spm,[status(thm)],[c_0_98,c_0_47]) ).
cnf(c_0_103,axiom,
( c_lessequals(c_0,X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_uminus(X2,X1),c_0,X1) ),
cls_OrderedGroup_Oneg__le__0__iff__le_0 ).
cnf(c_0_104,negated_conjecture,
( c_lessequals(X1,X2,t_b)
| ~ c_less(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_99,c_0_47]) ).
cnf(c_0_105,negated_conjecture,
~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b),
cls_conjecture_2 ).
cnf(c_0_106,negated_conjecture,
( c_Orderings_Omax(X1,c_0,t_b) = c_0
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_Orderings_Omax(X1,c_0,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_84]),c_0_47])]) ).
cnf(c_0_107,axiom,
( c_less(X2,X3,X1)
| c_lessequals(X3,X2,X1)
| ~ class_Orderings_Olinorder(X1) ),
cls_Orderings_Olinorder__not__le_0 ).
cnf(c_0_108,plain,
( c_HOL_Oabs(X1,X2) = c_uminus(X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_lessequals(X1,c_0,X2) ),
inference(spm,[status(thm)],[c_0_101,c_0_67]) ).
cnf(c_0_109,negated_conjecture,
c_uminus(c_uminus(X1,t_b),t_b) = X1,
inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_91]),c_0_47])])]) ).
cnf(c_0_110,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_less(c_uminus(X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_103,c_0_104]) ).
cnf(c_0_111,negated_conjecture,
( ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_71]),c_0_47])]) ).
cnf(c_0_112,negated_conjecture,
( c_Orderings_Omax(X1,c_0,t_b) = c_0
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_55]),c_0_51])]) ).
cnf(c_0_113,plain,
( c_less(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_107,c_0_61]) ).
cnf(c_0_114,axiom,
( c_lessequals(X2,c_0,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_0,c_uminus(X2,X1),X1) ),
cls_OrderedGroup_Oneg__0__le__iff__le_0 ).
cnf(c_0_115,axiom,
( c_plus(c_0,X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0 ).
cnf(c_0_116,negated_conjecture,
( ~ c_lessequals(c_Orderings_Omax(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b),c_uminus(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_108]),c_0_47])]) ).
cnf(c_0_117,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_0,c_uminus(X1,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_109]),c_0_47])]) ).
cnf(c_0_118,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| ~ c_less(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_75]),c_0_47])]) ).
cnf(c_0_119,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_120,negated_conjecture,
( c_less(X1,X2,t_b)
| c_lessequals(X2,X1,t_b) ),
inference(spm,[status(thm)],[c_0_113,c_0_47]) ).
cnf(c_0_121,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ c_less(c_0,c_uminus(X1,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_114,c_0_104]) ).
cnf(c_0_122,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(c_uminus(X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_109]),c_0_47])]) ).
cnf(c_0_123,plain,
( c_plus(c_0,X1,X2) = X1
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_115,c_0_69]) ).
cnf(c_0_124,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_uminus(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_112]),c_0_117]) ).
cnf(c_0_125,negated_conjecture,
( c_lessequals(c_0,c_uminus(X1,t_b),t_b)
| ~ c_less(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_91]),c_0_47])]) ).
cnf(c_0_126,negated_conjecture,
( c_less(c_minus(v_f(v_x),v_g(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_119,c_0_120]) ).
cnf(c_0_127,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_less(c_0,c_uminus(X1,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_121,c_0_75]),c_0_47])]) ).
cnf(c_0_128,negated_conjecture,
( c_less(c_0,c_uminus(X1,t_b),t_b)
| c_lessequals(c_0,X1,t_b) ),
inference(spm,[status(thm)],[c_0_122,c_0_120]) ).
cnf(c_0_129,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_plus(c_HOL_Oabs(X2,t_b),X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_87,c_0_64]) ).
cnf(c_0_130,axiom,
( c_lessequals(X2,X4,X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),c_plus(X4,X3,X1),X1) ),
cls_OrderedGroup_Oadd__le__cancel__right_0 ).
cnf(c_0_131,negated_conjecture,
c_plus(c_0,X1,t_b) = X1,
inference(spm,[status(thm)],[c_0_123,c_0_47]) ).
cnf(c_0_132,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_0,t_b) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125]),c_0_126]) ).
cnf(c_0_133,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_127,c_0_128]) ).
cnf(c_0_134,axiom,
( X2 = c_minus(c_plus(X2,X3,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ocompare__rls__11_1 ).
cnf(c_0_135,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_OrderedGroup_Olordered__ab__group__abs(t_b)
| ~ c_lessequals(c_plus(X2,X1,t_b),c_0,t_b)
| ~ c_lessequals(c_0,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_71]),c_0_47])]) ).
cnf(c_0_136,axiom,
( X2 = c_plus(c_minus(X2,X3,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ocompare__rls__10_0 ).
cnf(c_0_137,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(t_b)
| ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
inference(spm,[status(thm)],[c_0_130,c_0_131]) ).
cnf(c_0_138,negated_conjecture,
( c_lessequals(c_0,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(spm,[status(thm)],[c_0_132,c_0_133]) ).
cnf(c_0_139,axiom,
( c_plus(c_uminus(X2,X1),X2,X1) = c_0
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Oab__group__add__class_Oaxioms__1_0 ).
cnf(c_0_140,axiom,
( c_uminus(c_minus(X2,X3,X1),X1) = c_minus(X3,X2,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ominus__diff__eq_0 ).
cnf(c_0_141,axiom,
( X2 = X3
| ~ class_OrderedGroup_Oab__group__add(X1)
| c_minus(X2,X3,X1) != c_0 ),
cls_OrderedGroup_Odiff__eq__0__iff__eq_0 ).
cnf(c_0_142,axiom,
( c_minus(c_minus(X2,X3,X1),X4,X1) = c_minus(X2,c_plus(X3,X4,X1),X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ocompare__rls__4_0 ).
cnf(c_0_143,plain,
( c_minus(c_plus(X1,X2,X3),X2,X3) = X1
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_134,c_0_86]) ).
cnf(c_0_144,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_plus(X2,X1,t_b),c_0,t_b)
| ~ c_lessequals(c_0,X2,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_67]),c_0_47])]) ).
cnf(c_0_145,plain,
( c_plus(c_minus(X1,X2,X3),X2,X3) = X1
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_136,c_0_86]) ).
cnf(c_0_146,negated_conjecture,
( c_lessequals(c_0,X1,t_b)
| ~ c_lessequals(X2,c_plus(X1,X2,t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_82]),c_0_47])]) ).
cnf(c_0_147,negated_conjecture,
( c_lessequals(X1,c_minus(v_f(v_x),v_k(v_x),t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(spm,[status(thm)],[c_0_62,c_0_138]) ).
cnf(c_0_148,plain,
( c_plus(c_uminus(X1,X2),X1,X2) = c_0
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(spm,[status(thm)],[c_0_139,c_0_86]) ).
cnf(c_0_149,plain,
( c_uminus(c_minus(X1,X2,X3),X3) = c_minus(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(spm,[status(thm)],[c_0_140,c_0_86]) ).
cnf(c_0_150,plain,
( c_minus(X1,X2,X3) = X4
| c_minus(X1,c_plus(X2,X4,X3),X3) != c_0
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(spm,[status(thm)],[c_0_141,c_0_142]) ).
cnf(c_0_151,negated_conjecture,
c_minus(X1,X1,t_b) = c_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_131]),c_0_47])]) ).
cnf(c_0_152,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(c_0,c_minus(X2,X1,t_b),t_b)
| ~ c_lessequals(X2,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_145]),c_0_47])]) ).
cnf(c_0_153,negated_conjecture,
( c_lessequals(c_0,c_minus(X1,X2,t_b),t_b)
| ~ c_lessequals(X2,X1,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_145]),c_0_47])]) ).
cnf(c_0_154,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_plus(c_minus(v_f(v_x),v_k(v_x),t_b),X1,t_b),c_0,t_b) ),
inference(spm,[status(thm)],[c_0_87,c_0_147]) ).
cnf(c_0_155,negated_conjecture,
c_plus(X1,c_uminus(X1,t_b),t_b) = c_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_109]),c_0_47])]) ).
cnf(c_0_156,negated_conjecture,
c_uminus(c_minus(X1,X2,t_b),t_b) = c_minus(X2,X1,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_109,c_0_149]),c_0_47])]) ).
cnf(c_0_157,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b)
| ~ c_lessequals(c_0,c_HOL_Oabs(c_minus(v_f(v_x),v_g(v_x),t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_105,c_0_55]) ).
cnf(c_0_158,axiom,
( c_lessequals(X2,c_minus(X4,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_plus(X2,X3,X1),X4,X1) ),
cls_OrderedGroup_Ocompare__rls__9_1 ).
cnf(c_0_159,negated_conjecture,
( c_minus(c_plus(X1,X2,t_b),X1,t_b) = X2
| ~ class_OrderedGroup_Oab__group__add(t_b) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_160,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ c_lessequals(X2,c_0,t_b)
| ~ c_lessequals(X1,X2,t_b) ),
inference(spm,[status(thm)],[c_0_152,c_0_153]) ).
cnf(c_0_161,negated_conjecture,
( c_lessequals(c_minus(v_k(v_x),v_f(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_155]),c_0_156]),c_0_51])]) ).
cnf(c_0_162,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_minus(v_f(v_x),v_k(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_71]),c_0_47])]) ).
cnf(c_0_163,plain,
( c_lessequals(X1,c_minus(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Oordered__idom(X4)
| ~ c_lessequals(c_plus(X1,X3,X4),X2,X4) ),
inference(spm,[status(thm)],[c_0_158,c_0_75]) ).
cnf(c_0_164,negated_conjecture,
c_minus(c_plus(X1,X2,t_b),X1,t_b) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_159,c_0_86]),c_0_47])]) ).
cnf(c_0_165,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,c_minus(v_k(v_x),v_f(v_x),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_166,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_plus(c_minus(v_f(v_x),v_k(v_x),t_b),v_g(v_x),t_b),v_f(v_x),t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_163]),c_0_47])]) ).
cnf(c_0_167,negated_conjecture,
c_plus(X1,X2,t_b) = c_plus(X2,X1,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_164]),c_0_47])]) ).
cnf(c_0_168,axiom,
( c_lessequals(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(X2,c_minus(X3,X4,X1),X1) ),
cls_OrderedGroup_Ocompare__rls__9_0 ).
cnf(c_0_169,axiom,
( c_minus(X2,c_minus(X3,X4,X1),X1) = c_minus(c_plus(X2,X4,X1),X3,X1)
| ~ class_OrderedGroup_Oab__group__add(X1) ),
cls_OrderedGroup_Ocompare__rls__5_0 ).
cnf(c_0_170,axiom,
( class_OrderedGroup_Oab__group__add(X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
clsrel_OrderedGroup_Opordered__ab__group__add_0 ).
cnf(c_0_171,negated_conjecture,
c_minus(X1,c_minus(X1,X2,t_b),t_b) = X2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_164,c_0_145]),c_0_47])]) ).
cnf(c_0_172,negated_conjecture,
( c_lessequals(c_0,c_uminus(X1,t_b),t_b)
| ~ c_lessequals(X1,c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_91]),c_0_47])]) ).
cnf(c_0_173,negated_conjecture,
( c_lessequals(X1,c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_plus(X1,v_f(v_x),t_b),v_k(v_x),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_163]),c_0_47])]) ).
cnf(c_0_174,negated_conjecture,
( ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_plus(v_g(v_x),c_minus(v_f(v_x),v_k(v_x),t_b),t_b),v_f(v_x),t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(rw,[status(thm)],[c_0_166,c_0_167]) ).
cnf(c_0_175,plain,
( c_lessequals(c_plus(X1,c_minus(X2,X3,X4),X4),X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| ~ c_lessequals(X1,c_minus(c_plus(X5,X3,X4),X2,X4),X4) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_170]) ).
cnf(c_0_176,negated_conjecture,
c_minus(c_plus(X1,X2,t_b),X2,t_b) = X1,
inference(spm,[status(thm)],[c_0_171,c_0_164]) ).
cnf(c_0_177,negated_conjecture,
c_lessequals(v_g(X1),v_k(X1),t_b),
cls_conjecture_1 ).
cnf(c_0_178,negated_conjecture,
( c_lessequals(c_0,c_minus(X1,X2,t_b),t_b)
| ~ c_lessequals(c_minus(X2,X1,t_b),c_0,t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_149]),c_0_47])]) ).
cnf(c_0_179,negated_conjecture,
( c_lessequals(c_minus(X1,v_f(v_x),t_b),c_0,t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,v_k(v_x),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_173,c_0_145]),c_0_47])]) ).
cnf(c_0_180,negated_conjecture,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(c_0,c_minus(v_f(v_x),v_g(v_x),t_b),t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_167]),c_0_176]),c_0_177])]) ).
cnf(c_0_181,negated_conjecture,
( c_lessequals(c_0,c_minus(v_f(v_x),X1,t_b),t_b)
| ~ class_Orderings_Olinorder(t_b)
| ~ c_lessequals(X1,v_k(v_x),t_b) ),
inference(spm,[status(thm)],[c_0_178,c_0_179]) ).
cnf(c_0_182,negated_conjecture,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| ~ class_Orderings_Olinorder(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_181]),c_0_177])]) ).
cnf(c_0_183,negated_conjecture,
~ class_Orderings_Olinorder(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_75]),c_0_47])]) ).
cnf(c_0_184,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_61]),c_0_47])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : ANA026-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n022.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 18:33:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 7.80/7.87 % Version : CSE_E---1.5
% 7.80/7.87 % Problem : theBenchmark.p
% 7.80/7.87 % Proof found
% 7.80/7.87 % SZS status Theorem for theBenchmark.p
% 7.80/7.87 % SZS output start Proof
% See solution above
% 7.80/7.89 % Total time : 7.234000 s
% 7.80/7.89 % SZS output end Proof
% 7.80/7.89 % Total time : 7.290000 s
%------------------------------------------------------------------------------