TSTP Solution File: ALG386-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.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 31 15:44:16 EDT 2022
% Result : Unsatisfiable 4.05s 1.17s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 263
% Syntax : Number of formulae : 400 ( 255 unt; 0 def)
% Number of atoms : 546 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 164 ( 18 ~; 15 |; 0 &)
% ( 131 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 193 ( 191 usr; 133 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1324,plain,
$false,
inference(avatar_smt_refutation,[],[f600,f605,f610,f615,f620,f625,f630,f635,f640,f645,f650,f655,f660,f665,f670,f678,f683,f688,f693,f698,f703,f708,f713,f718,f723,f728,f733,f737,f742,f748,f753,f759,f764,f769,f774,f779,f785,f791,f796,f800,f805,f810,f815,f820,f825,f830,f835,f840,f845,f850,f855,f860,f866,f871,f876,f881,f886,f891,f896,f900,f905,f911,f916,f921,f927,f932,f938,f943,f948,f953,f958,f963,f969,f974,f979,f984,f990,f995,f1001,f1007,f1012,f1017,f1022,f1027,f1032,f1037,f1042,f1047,f1052,f1058,f1064,f1069,f1074,f1079,f1084,f1089,f1094,f1099,f1104,f1109,f1114,f1119,f1124,f1129,f1134,f1139,f1144,f1149,f1154,f1159,f1164,f1169,f1174,f1181,f1186,f1191,f1196,f1201,f1206,f1212,f1213,f1218,f1223,f1228,f1233,f1238,f1243,f1248,f1254,f1259,f1264,f1323]) ).
fof(f1323,plain,
( ~ spl0_16
| ~ spl0_61 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| ~ spl0_16
| ~ spl0_61 ),
inference(resolution,[],[f1316,f673]) ).
fof(f673,plain,
( ! [X18] : c_lessequals(X18,c_RealVector_Onorm__class_Onorm(v_x(X18),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f672,plain,
( spl0_16
<=> ! [X18] : c_lessequals(X18,c_RealVector_Onorm__class_Onorm(v_x(X18),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1316,plain,
( ! [X0] : ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(v_x(X0),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_61 ),
inference(resolution,[],[f421,f899]) ).
fof(f899,plain,
( ! [X18] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X18),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f898,plain,
( spl0_61
<=> ! [X18] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X18),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f421,axiom,
! [X14] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__CHAINED__1(v_c____,v_cs____),c_RealVector_Onorm__class_Onorm(X14,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1264,plain,
spl0_131,
inference(avatar_split_clause,[],[f541,f1261]) ).
fof(f1261,plain,
( spl0_131
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f541,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring) ).
fof(f1259,plain,
spl0_130,
inference(avatar_split_clause,[],[f92,f1256]) ).
fof(f1256,plain,
( spl0_130
<=> c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f92,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Re_Ozero_0) ).
fof(f1254,plain,
spl0_129,
inference(avatar_split_clause,[],[f480,f1251]) ).
fof(f1251,plain,
( spl0_129
<=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f480,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs) ).
fof(f1248,plain,
spl0_128,
inference(avatar_split_clause,[],[f475,f1245]) ).
fof(f1245,plain,
( spl0_128
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f475,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add) ).
fof(f1243,plain,
spl0_127,
inference(avatar_split_clause,[],[f462,f1240]) ).
fof(f1240,plain,
( spl0_127
<=> class_Power_Opower(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f462,axiom,
class_Power_Opower(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Power_Opower) ).
fof(f1238,plain,
spl0_126,
inference(avatar_split_clause,[],[f527,f1235]) ).
fof(f1235,plain,
( spl0_126
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f527,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0) ).
fof(f1233,plain,
spl0_125,
inference(avatar_split_clause,[],[f435,f1230]) ).
fof(f1230,plain,
( spl0_125
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f435,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f1228,plain,
spl0_124,
inference(avatar_split_clause,[],[f514,f1225]) ).
fof(f1225,plain,
( spl0_124
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f514,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Olinorder) ).
fof(f1223,plain,
spl0_123,
inference(avatar_split_clause,[],[f457,f1220]) ).
fof(f1220,plain,
( spl0_123
<=> class_OrderedGroup_Omonoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f457,axiom,
class_OrderedGroup_Omonoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__add) ).
fof(f1218,plain,
spl0_122,
inference(avatar_split_clause,[],[f542,f1215]) ).
fof(f1215,plain,
( spl0_122
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f542,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add) ).
fof(f1213,plain,
~ spl0_17,
inference(avatar_split_clause,[],[f422,f675]) ).
fof(f675,plain,
( spl0_17
<=> v_thesis____ ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f422,axiom,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1212,plain,
spl0_121,
inference(avatar_split_clause,[],[f487,f1209]) ).
fof(f1209,plain,
( spl0_121
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f487,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult) ).
fof(f1206,plain,
spl0_120,
inference(avatar_split_clause,[],[f472,f1203]) ).
fof(f1203,plain,
( spl0_120
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f472,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f1201,plain,
spl0_119,
inference(avatar_split_clause,[],[f486,f1198]) ).
fof(f1198,plain,
( spl0_119
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f486,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra) ).
fof(f1196,plain,
spl0_118,
inference(avatar_split_clause,[],[f526,f1193]) ).
fof(f1193,plain,
( spl0_118
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f526,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1191,plain,
spl0_117,
inference(avatar_split_clause,[],[f537,f1188]) ).
fof(f1188,plain,
( spl0_117
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f537,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one) ).
fof(f1186,plain,
spl0_116,
inference(avatar_split_clause,[],[f478,f1183]) ).
fof(f1183,plain,
( spl0_116
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f478,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1181,plain,
spl0_115,
inference(avatar_split_clause,[],[f436,f1178]) ).
fof(f1178,plain,
( spl0_115
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f436,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f1174,plain,
spl0_114,
inference(avatar_split_clause,[],[f497,f1171]) ).
fof(f1171,plain,
( spl0_114
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f497,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add) ).
fof(f1169,plain,
spl0_113,
inference(avatar_split_clause,[],[f468,f1166]) ).
fof(f1166,plain,
( spl0_113
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f468,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(f1164,plain,
spl0_112,
inference(avatar_split_clause,[],[f442,f1161]) ).
fof(f1161,plain,
( spl0_112
<=> class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f442,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ono__zero__divisors) ).
fof(f1159,plain,
spl0_111,
inference(avatar_split_clause,[],[f500,f1156]) ).
fof(f1156,plain,
( spl0_111
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f500,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1) ).
fof(f1154,plain,
spl0_110,
inference(avatar_split_clause,[],[f512,f1151]) ).
fof(f1151,plain,
( spl0_110
<=> class_Nat_Osemiring__char__0(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f512,axiom,
class_Nat_Osemiring__char__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Nat_Osemiring__char__0) ).
fof(f1149,plain,
spl0_109,
inference(avatar_split_clause,[],[f516,f1146]) ).
fof(f1146,plain,
( spl0_109
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f516,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Int_Onumber__ring) ).
fof(f1144,plain,
spl0_108,
inference(avatar_split_clause,[],[f492,f1141]) ).
fof(f1141,plain,
( spl0_108
<=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f492,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field) ).
fof(f1139,plain,
spl0_107,
inference(avatar_split_clause,[],[f459,f1136]) ).
fof(f1136,plain,
( spl0_107
<=> class_Orderings_Opreorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f459,axiom,
class_Orderings_Opreorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
fof(f1134,plain,
spl0_106,
inference(avatar_split_clause,[],[f513,f1131]) ).
fof(f1131,plain,
( spl0_106
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f513,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Opreorder) ).
fof(f1129,plain,
spl0_105,
inference(avatar_split_clause,[],[f490,f1126]) ).
fof(f1126,plain,
( spl0_105
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f490,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add) ).
fof(f1124,plain,
spl0_104,
inference(avatar_split_clause,[],[f483,f1121]) ).
fof(f1121,plain,
( spl0_104
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f483,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom) ).
fof(f1119,plain,
spl0_103,
inference(avatar_split_clause,[],[f532,f1116]) ).
fof(f1116,plain,
( spl0_103
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f532,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add) ).
fof(f1114,plain,
spl0_102,
inference(avatar_split_clause,[],[f501,f1111]) ).
fof(f1111,plain,
( spl0_102
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f501,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add) ).
fof(f1109,plain,
spl0_101,
inference(avatar_split_clause,[],[f506,f1106]) ).
fof(f1106,plain,
( spl0_101
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f506,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add) ).
fof(f1104,plain,
spl0_100,
inference(avatar_split_clause,[],[f498,f1101]) ).
fof(f1101,plain,
( spl0_100
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f498,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one) ).
fof(f1099,plain,
spl0_99,
inference(avatar_split_clause,[],[f551,f1096]) ).
fof(f1096,plain,
( spl0_99
<=> class_HOL_Ozero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f551,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__HOL_Ozero) ).
fof(f1094,plain,
spl0_98,
inference(avatar_split_clause,[],[f428,f1091]) ).
fof(f1091,plain,
( spl0_98
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f428,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f1089,plain,
spl0_97,
inference(avatar_split_clause,[],[f533,f1086]) ).
fof(f1086,plain,
( spl0_97
<=> class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f533,axiom,
class_Ring__and__Field_Odivision__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__ring) ).
fof(f1084,plain,
spl0_96,
inference(avatar_split_clause,[],[f473,f1081]) ).
fof(f1081,plain,
( spl0_96
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f473,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict) ).
fof(f1079,plain,
spl0_95,
inference(avatar_split_clause,[],[f507,f1076]) ).
fof(f1076,plain,
( spl0_95
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f507,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add) ).
fof(f1074,plain,
spl0_94,
inference(avatar_split_clause,[],[f449,f1071]) ).
fof(f1071,plain,
( spl0_94
<=> class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f449,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring) ).
fof(f1069,plain,
spl0_93,
inference(avatar_split_clause,[],[f502,f1066]) ).
fof(f1066,plain,
( spl0_93
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f502,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero) ).
fof(f1064,plain,
spl0_92,
inference(avatar_split_clause,[],[f443,f1061]) ).
fof(f1061,plain,
( spl0_92
<=> class_Ring__and__Field_Oordered__semidom(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f443,axiom,
class_Ring__and__Field_Oordered__semidom(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Oordered__semidom) ).
fof(f1058,plain,
spl0_91,
inference(avatar_split_clause,[],[f456,f1055]) ).
fof(f1055,plain,
( spl0_91
<=> class_Ring__and__Field_Osemiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f456,axiom,
class_Ring__and__Field_Osemiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Osemiring) ).
fof(f1052,plain,
spl0_90,
inference(avatar_split_clause,[],[f528,f1049]) ).
fof(f1049,plain,
( spl0_90
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f528,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra) ).
fof(f1047,plain,
spl0_89,
inference(avatar_split_clause,[],[f444,f1044]) ).
fof(f1044,plain,
( spl0_89
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f444,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__1) ).
fof(f1042,plain,
spl0_88,
inference(avatar_split_clause,[],[f446,f1039]) ).
fof(f1039,plain,
( spl0_88
<=> class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f446,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__mult) ).
fof(f1037,plain,
spl0_87,
inference(avatar_split_clause,[],[f440,f1034]) ).
fof(f1034,plain,
( spl0_87
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f440,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__semigroup__add) ).
fof(f1032,plain,
spl0_86,
inference(avatar_split_clause,[],[f432,f1029]) ).
fof(f1029,plain,
( spl0_86
<=> class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f432,axiom,
class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring) ).
fof(f1027,plain,
spl0_85,
inference(avatar_split_clause,[],[f530,f1024]) ).
fof(f1024,plain,
( spl0_85
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f530,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).
fof(f1022,plain,
spl0_84,
inference(avatar_split_clause,[],[f503,f1019]) ).
fof(f1019,plain,
( spl0_84
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f503,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono) ).
fof(f1017,plain,
spl0_83,
inference(avatar_split_clause,[],[f504,f1014]) ).
fof(f1014,plain,
( spl0_83
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f504,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult) ).
fof(f1012,plain,
spl0_82,
inference(avatar_split_clause,[],[f433,f1009]) ).
fof(f1009,plain,
( spl0_82
<=> class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f433,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1) ).
fof(f1007,plain,
spl0_81,
inference(avatar_split_clause,[],[f520,f1004]) ).
fof(f1004,plain,
( spl0_81
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f520,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f1001,plain,
spl0_80,
inference(avatar_split_clause,[],[f543,f998]) ).
fof(f998,plain,
( spl0_80
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f543,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add) ).
fof(f995,plain,
spl0_79,
inference(avatar_split_clause,[],[f493,f992]) ).
fof(f992,plain,
( spl0_79
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f493,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring) ).
fof(f990,plain,
spl0_78,
inference(avatar_split_clause,[],[f538,f987]) ).
fof(f987,plain,
( spl0_78
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f538,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add) ).
fof(f984,plain,
spl0_77,
inference(avatar_split_clause,[],[f511,f981]) ).
fof(f981,plain,
( spl0_77
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f511,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oidom) ).
fof(f979,plain,
spl0_76,
inference(avatar_split_clause,[],[f510,f976]) ).
fof(f976,plain,
( spl0_76
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f510,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring) ).
fof(f974,plain,
spl0_75,
inference(avatar_split_clause,[],[f536,f971]) ).
fof(f971,plain,
( spl0_75
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f536,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add) ).
fof(f969,plain,
spl0_74,
inference(avatar_split_clause,[],[f464,f966]) ).
fof(f966,plain,
( spl0_74
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f464,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(f963,plain,
spl0_73,
inference(avatar_split_clause,[],[f488,f960]) ).
fof(f960,plain,
( spl0_73
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f488,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f958,plain,
spl0_72,
inference(avatar_split_clause,[],[f479,f955]) ).
fof(f955,plain,
( spl0_72
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f479,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring) ).
fof(f953,plain,
spl0_71,
inference(avatar_split_clause,[],[f466,f950]) ).
fof(f950,plain,
( spl0_71
<=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f466,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors) ).
fof(f948,plain,
spl0_70,
inference(avatar_split_clause,[],[f494,f945]) ).
fof(f945,plain,
( spl0_70
<=> class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f494,axiom,
class_Ring__and__Field_Odivision__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__ring) ).
fof(f943,plain,
spl0_69,
inference(avatar_split_clause,[],[f525,f940]) ).
fof(f940,plain,
( spl0_69
<=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f525,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero) ).
fof(f938,plain,
spl0_68,
inference(avatar_split_clause,[],[f509,f935]) ).
fof(f935,plain,
( spl0_68
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f509,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ofield) ).
fof(f932,plain,
spl0_67,
inference(avatar_split_clause,[],[f491,f929]) ).
fof(f929,plain,
( spl0_67
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f491,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring) ).
fof(f927,plain,
spl0_66,
inference(avatar_split_clause,[],[f489,f924]) ).
fof(f924,plain,
( spl0_66
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f489,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult) ).
fof(f921,plain,
spl0_65,
inference(avatar_split_clause,[],[f477,f918]) ).
fof(f918,plain,
( spl0_65
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f477,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add) ).
fof(f916,plain,
spl0_64,
inference(avatar_split_clause,[],[f461,f913]) ).
fof(f913,plain,
( spl0_64
<=> class_Orderings_Oorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f461,axiom,
class_Orderings_Oorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
fof(f911,plain,
spl0_63,
inference(avatar_split_clause,[],[f453,f908]) ).
fof(f908,plain,
( spl0_63
<=> class_Ring__and__Field_Omult__zero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f453,axiom,
class_Ring__and__Field_Omult__zero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__zero) ).
fof(f905,plain,
spl0_62,
inference(avatar_split_clause,[],[f546,f902]) ).
fof(f902,plain,
( spl0_62
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f546,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring) ).
fof(f900,plain,
( spl0_17
| spl0_61 ),
inference(avatar_split_clause,[],[f424,f898,f675]) ).
fof(f424,axiom,
! [X18] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_x(X18),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f896,plain,
spl0_60,
inference(avatar_split_clause,[],[f515,f893]) ).
fof(f893,plain,
( spl0_60
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f515,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Orderings_Oorder) ).
fof(f891,plain,
spl0_59,
inference(avatar_split_clause,[],[f447,f888]) ).
fof(f888,plain,
( spl0_59
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f447,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__mult) ).
fof(f886,plain,
spl0_58,
inference(avatar_split_clause,[],[f471,f883]) ).
fof(f883,plain,
( spl0_58
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f471,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors) ).
fof(f881,plain,
spl0_57,
inference(avatar_split_clause,[],[f474,f878]) ).
fof(f878,plain,
( spl0_57
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f474,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra) ).
fof(f876,plain,
spl0_56,
inference(avatar_split_clause,[],[f495,f873]) ).
fof(f873,plain,
( spl0_56
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f495,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring) ).
fof(f871,plain,
spl0_55,
inference(avatar_split_clause,[],[f445,f868]) ).
fof(f868,plain,
( spl0_55
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f445,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ocomm__semiring__0) ).
fof(f866,plain,
spl0_54,
inference(avatar_split_clause,[],[f448,f863]) ).
fof(f863,plain,
( spl0_54
<=> class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f448,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Oab__semigroup__add) ).
fof(f860,plain,
spl0_53,
inference(avatar_split_clause,[],[f454,f857]) ).
fof(f857,plain,
( spl0_53
<=> class_Ring__and__Field_Omult__mono(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f454,axiom,
class_Ring__and__Field_Omult__mono(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono) ).
fof(f855,plain,
spl0_52,
inference(avatar_split_clause,[],[f430,f852]) ).
fof(f852,plain,
( spl0_52
<=> class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f430,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1) ).
fof(f850,plain,
spl0_51,
inference(avatar_split_clause,[],[f518,f847]) ).
fof(f847,plain,
( spl0_51
<=> class_HOL_Ozero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f518,axiom,
class_HOL_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__HOL_Ozero) ).
fof(f845,plain,
spl0_50,
inference(avatar_split_clause,[],[f469,f842]) ).
fof(f842,plain,
( spl0_50
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f469,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs) ).
fof(f840,plain,
spl0_49,
inference(avatar_split_clause,[],[f540,f837]) ).
fof(f837,plain,
( spl0_49
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f540,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f835,plain,
spl0_48,
inference(avatar_split_clause,[],[f523,f832]) ).
fof(f832,plain,
( spl0_48
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f523,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add) ).
fof(f830,plain,
spl0_47,
inference(avatar_split_clause,[],[f451,f827]) ).
fof(f827,plain,
( spl0_47
<=> class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f451,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Ozero__neq__one) ).
fof(f825,plain,
spl0_46,
inference(avatar_split_clause,[],[f434,f822]) ).
fof(f822,plain,
( spl0_46
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f434,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f820,plain,
spl0_45,
inference(avatar_split_clause,[],[f548,f817]) ).
fof(f817,plain,
( spl0_45
<=> class_Nat_Osemiring__char__0(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f548,axiom,
class_Nat_Osemiring__char__0(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Nat_Osemiring__char__0) ).
fof(f815,plain,
spl0_44,
inference(avatar_split_clause,[],[f524,f812]) ).
fof(f812,plain,
( spl0_44
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f524,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors) ).
fof(f810,plain,
spl0_43,
inference(avatar_split_clause,[],[f521,f807]) ).
fof(f807,plain,
( spl0_43
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f521,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f805,plain,
spl0_42,
inference(avatar_split_clause,[],[f519,f802]) ).
fof(f802,plain,
( spl0_42
<=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f519,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors) ).
fof(f800,plain,
( spl0_17
| spl0_41 ),
inference(avatar_split_clause,[],[f406,f798,f675]) ).
fof(f798,plain,
( spl0_41
<=> ! [X28] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_sko__local__Xthat__1(v_c____,v_cs____,X28),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f406,axiom,
! [X28] :
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_sko__local__Xthat__1(v_c____,v_cs____,X28),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_1) ).
fof(f796,plain,
spl0_40,
inference(avatar_split_clause,[],[f463,f793]) ).
fof(f793,plain,
( spl0_40
<=> class_HOL_Ozero(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f463,axiom,
class_HOL_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__HOL_Ozero) ).
fof(f791,plain,
spl0_39,
inference(avatar_split_clause,[],[f539,f788]) ).
fof(f788,plain,
( spl0_39
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f539,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero) ).
fof(f785,plain,
spl0_38,
inference(avatar_split_clause,[],[f505,f782]) ).
fof(f782,plain,
( spl0_38
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f505,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Osemiring) ).
fof(f779,plain,
spl0_37,
inference(avatar_split_clause,[],[f496,f776]) ).
fof(f776,plain,
( spl0_37
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f496,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__normed__field) ).
fof(f774,plain,
spl0_36,
inference(avatar_split_clause,[],[f437,f771]) ).
fof(f771,plain,
( spl0_36
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f437,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f769,plain,
spl0_35,
inference(avatar_split_clause,[],[f482,f766]) ).
fof(f766,plain,
( spl0_35
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f482,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero) ).
fof(f764,plain,
spl0_34,
inference(avatar_split_clause,[],[f460,f761]) ).
fof(f761,plain,
( spl0_34
<=> class_Orderings_Olinorder(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f460,axiom,
class_Orderings_Olinorder(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
fof(f759,plain,
spl0_33,
inference(avatar_split_clause,[],[f549,f756]) ).
fof(f756,plain,
( spl0_33
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f549,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Int_Onumber__ring) ).
fof(f753,plain,
spl0_32,
inference(avatar_split_clause,[],[f517,f750]) ).
fof(f750,plain,
( spl0_32
<=> class_Power_Opower(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f517,axiom,
class_Power_Opower(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Power_Opower) ).
fof(f748,plain,
spl0_31,
inference(avatar_split_clause,[],[f476,f745]) ).
fof(f745,plain,
( spl0_31
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f476,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add) ).
fof(f742,plain,
spl0_30,
inference(avatar_split_clause,[],[f467,f739]) ).
fof(f739,plain,
( spl0_30
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f467,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(f737,plain,
( spl0_29
| spl0_17 ),
inference(avatar_split_clause,[],[f405,f675,f735]) ).
fof(f735,plain,
( spl0_29
<=> ! [X28] : c_lessequals(X28,c_RealVector_Onorm__class_Onorm(v_sko__local__Xthat__1(v_c____,v_cs____,X28),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f405,axiom,
! [X28] :
( v_thesis____
| c_lessequals(X28,c_RealVector_Onorm__class_Onorm(v_sko__local__Xthat__1(v_c____,v_cs____,X28),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f733,plain,
spl0_28,
inference(avatar_split_clause,[],[f544,f730]) ).
fof(f730,plain,
( spl0_28
<=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f544,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__field) ).
fof(f728,plain,
spl0_27,
inference(avatar_split_clause,[],[f452,f725]) ).
fof(f725,plain,
( spl0_27
<=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f452,axiom,
class_Ring__and__Field_Omult__mono1(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Omult__mono1) ).
fof(f723,plain,
spl0_26,
inference(avatar_split_clause,[],[f531,f720]) ).
fof(f720,plain,
( spl0_26
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f531,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult) ).
fof(f718,plain,
spl0_25,
inference(avatar_split_clause,[],[f458,f715]) ).
fof(f715,plain,
( spl0_25
<=> class_Nat_Osemiring__char__0(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f458,axiom,
class_Nat_Osemiring__char__0(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Nat_Osemiring__char__0) ).
fof(f713,plain,
spl0_24,
inference(avatar_split_clause,[],[f481,f710]) ).
fof(f710,plain,
( spl0_24
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f481,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors) ).
fof(f708,plain,
spl0_23,
inference(avatar_split_clause,[],[f545,f705]) ).
fof(f705,plain,
( spl0_23
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f545,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ofield) ).
fof(f703,plain,
~ spl0_22,
inference(avatar_split_clause,[],[f197,f700]) ).
fof(f700,plain,
( spl0_22
<=> v_cs____ = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f197,axiom,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cs0_0) ).
fof(f698,plain,
spl0_21,
inference(avatar_split_clause,[],[f465,f695]) ).
fof(f695,plain,
( spl0_21
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f465,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring) ).
fof(f693,plain,
spl0_20,
inference(avatar_split_clause,[],[f550,f690]) ).
fof(f690,plain,
( spl0_20
<=> class_Power_Opower(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f550,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Power_Opower) ).
fof(f688,plain,
spl0_19,
inference(avatar_split_clause,[],[f485,f685]) ).
fof(f685,plain,
( spl0_19
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f485,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0) ).
fof(f683,plain,
spl0_18,
inference(avatar_split_clause,[],[f522,f680]) ).
fof(f680,plain,
( spl0_18
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f522,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra) ).
fof(f678,plain,
( spl0_16
| spl0_17 ),
inference(avatar_split_clause,[],[f423,f675,f672]) ).
fof(f423,axiom,
! [X18] :
( v_thesis____
| c_lessequals(X18,c_RealVector_Onorm__class_Onorm(v_x(X18),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f670,plain,
spl0_15,
inference(avatar_split_clause,[],[f529,f667]) ).
fof(f667,plain,
( spl0_15
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f529,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult) ).
fof(f665,plain,
spl0_14,
inference(avatar_split_clause,[],[f470,f662]) ).
fof(f662,plain,
( spl0_14
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f470,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f660,plain,
spl0_13,
inference(avatar_split_clause,[],[f535,f657]) ).
fof(f657,plain,
( spl0_13
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f535,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field) ).
fof(f655,plain,
spl0_12,
inference(avatar_split_clause,[],[f534,f652]) ).
fof(f652,plain,
( spl0_12
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f534,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring) ).
fof(f650,plain,
spl0_11,
inference(avatar_split_clause,[],[f439,f647]) ).
fof(f647,plain,
( spl0_11
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f439,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(f645,plain,
spl0_10,
inference(avatar_split_clause,[],[f508,f642]) ).
fof(f642,plain,
( spl0_10
<=> class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f508,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__RealVector_Oreal__field) ).
fof(f640,plain,
spl0_9,
inference(avatar_split_clause,[],[f438,f637]) ).
fof(f637,plain,
( spl0_9
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f438,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Opordered__comm__monoid__add) ).
fof(f635,plain,
spl0_8,
inference(avatar_split_clause,[],[f484,f632]) ).
fof(f632,plain,
( spl0_8
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f484,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
fof(f630,plain,
spl0_7,
inference(avatar_split_clause,[],[f431,f627]) ).
fof(f627,plain,
( spl0_7
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f431,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(f625,plain,
spl0_6,
inference(avatar_split_clause,[],[f450,f622]) ).
fof(f622,plain,
( spl0_6
<=> class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f450,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Ocomm__monoid__add) ).
fof(f620,plain,
spl0_5,
inference(avatar_split_clause,[],[f547,f617]) ).
fof(f617,plain,
( spl0_5
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f547,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Oidom) ).
fof(f615,plain,
spl0_4,
inference(avatar_split_clause,[],[f499,f612]) ).
fof(f612,plain,
( spl0_4
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f499,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom) ).
fof(f610,plain,
spl0_3,
inference(avatar_split_clause,[],[f441,f607]) ).
fof(f607,plain,
( spl0_3
<=> class_Ring__and__Field_Opordered__semiring(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f441,axiom,
class_Ring__and__Field_Opordered__semiring(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__Ring__and__Field_Opordered__semiring) ).
fof(f605,plain,
spl0_2,
inference(avatar_split_clause,[],[f429,f602]) ).
fof(f602,plain,
( spl0_2
<=> class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f429,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring) ).
fof(f600,plain,
spl0_1,
inference(avatar_split_clause,[],[f455,f597]) ).
fof(f597,plain,
( spl0_1
<=> class_OrderedGroup_Omonoid__mult(tc_nat) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f455,axiom,
class_OrderedGroup_Omonoid__mult(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsarity_nat__OrderedGroup_Omonoid__mult) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG386-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n013.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 15:04:17 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.06/0.53 % (1906)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.55 % (1910)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.33/0.57 % (1909)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.57 % (1922)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.33/0.57 % (1914)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.57 % (1907)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.33/0.57 % (1911)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.57 % (1908)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.33/0.58 % (1928)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.33/0.58 % (1905)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.33/0.58 % (1920)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.33/0.58 % (1915)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.33/0.59 % (1933)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.33/0.59 % (1934)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.33/0.59 % (1932)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.33/0.59 % (1931)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.33/0.59 % (1929)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.33/0.59 % (1923)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.60 % (1912)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.33/0.60 % (1927)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.33/0.60 % (1918)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.60 % (1913)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.33/0.60 % (1913)Instruction limit reached!
% 1.33/0.60 % (1913)------------------------------
% 1.33/0.60 % (1913)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.60 % (1913)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.60 % (1913)Termination reason: Unknown
% 1.33/0.60 % (1913)Termination phase: Unused predicate definition removal
% 1.33/0.60
% 1.33/0.60 % (1913)Memory used [KB]: 1407
% 1.33/0.60 % (1913)Time elapsed: 0.003 s
% 1.33/0.60 % (1913)Instructions burned: 2 (million)
% 1.33/0.60 % (1913)------------------------------
% 1.33/0.60 % (1913)------------------------------
% 1.33/0.61 % (1917)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.33/0.61 % (1916)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.61 % (1919)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.33/0.61 % (1930)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.33/0.62 % (1921)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.33/0.62 % (1926)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.33/0.62 % (1924)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.33/0.62 % (1912)Instruction limit reached!
% 1.33/0.62 % (1912)------------------------------
% 1.33/0.62 % (1912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.33/0.62 % (1912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.33/0.62 % (1912)Termination reason: Unknown
% 1.33/0.62 % (1912)Termination phase: Saturation
% 1.33/0.62
% 1.33/0.62 % (1912)Memory used [KB]: 6012
% 1.33/0.62 % (1912)Time elapsed: 0.011 s
% 1.33/0.62 % (1912)Instructions burned: 7 (million)
% 1.33/0.62 % (1912)------------------------------
% 1.33/0.62 % (1912)------------------------------
% 1.33/0.62 % (1925)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 2.07/0.64 % (1907)Instruction limit reached!
% 2.07/0.64 % (1907)------------------------------
% 2.07/0.64 % (1907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.64 % (1907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.64 % (1907)Termination reason: Unknown
% 2.07/0.64 % (1907)Termination phase: Saturation
% 2.07/0.64
% 2.07/0.64 % (1907)Memory used [KB]: 1791
% 2.07/0.64 % (1907)Time elapsed: 0.182 s
% 2.07/0.64 % (1907)Instructions burned: 37 (million)
% 2.07/0.64 % (1907)------------------------------
% 2.07/0.64 % (1907)------------------------------
% 2.07/0.65 % (1906)Instruction limit reached!
% 2.07/0.65 % (1906)------------------------------
% 2.07/0.65 % (1906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.65 % (1906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.65 % (1906)Termination reason: Unknown
% 2.07/0.65 % (1906)Termination phase: Saturation
% 2.07/0.65
% 2.07/0.65 % (1906)Memory used [KB]: 6908
% 2.07/0.65 % (1906)Time elapsed: 0.207 s
% 2.07/0.65 % (1906)Instructions burned: 50 (million)
% 2.07/0.65 % (1906)------------------------------
% 2.07/0.65 % (1906)------------------------------
% 2.07/0.67 % (1914)Instruction limit reached!
% 2.07/0.67 % (1914)------------------------------
% 2.07/0.67 % (1914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.68 % (1914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.68 % (1914)Termination reason: Unknown
% 2.07/0.68 % (1914)Termination phase: Saturation
% 2.07/0.68
% 2.07/0.68 % (1914)Memory used [KB]: 2430
% 2.07/0.68 % (1914)Time elapsed: 0.223 s
% 2.07/0.68 % (1914)Instructions burned: 51 (million)
% 2.07/0.68 % (1914)------------------------------
% 2.07/0.68 % (1914)------------------------------
% 2.07/0.68 % (1922)Instruction limit reached!
% 2.07/0.68 % (1922)------------------------------
% 2.07/0.68 % (1922)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.68 % (1922)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.68 % (1922)Termination reason: Unknown
% 2.07/0.68 % (1922)Termination phase: Finite model building preprocessing
% 2.07/0.68
% 2.07/0.68 % (1922)Memory used [KB]: 2814
% 2.07/0.68 % (1922)Time elapsed: 0.051 s
% 2.07/0.68 % (1922)Instructions burned: 59 (million)
% 2.07/0.68 % (1922)------------------------------
% 2.07/0.68 % (1922)------------------------------
% 2.49/0.70 % (1915)Instruction limit reached!
% 2.49/0.70 % (1915)------------------------------
% 2.49/0.70 % (1915)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.70 % (1915)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.70 % (1915)Termination reason: Unknown
% 2.49/0.70 % (1915)Termination phase: Saturation
% 2.49/0.70
% 2.49/0.70 % (1915)Memory used [KB]: 6908
% 2.49/0.70 % (1915)Time elapsed: 0.248 s
% 2.49/0.70 % (1915)Instructions burned: 50 (million)
% 2.49/0.70 % (1915)------------------------------
% 2.49/0.70 % (1915)------------------------------
% 2.49/0.71 % (1911)Instruction limit reached!
% 2.49/0.71 % (1911)------------------------------
% 2.49/0.71 % (1911)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.71 % (1911)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.71 % (1911)Termination reason: Unknown
% 2.49/0.71 % (1911)Termination phase: Finite model building preprocessing
% 2.49/0.71
% 2.49/0.71 % (1911)Memory used [KB]: 2814
% 2.49/0.71 % (1911)Time elapsed: 0.039 s
% 2.49/0.71 % (1911)Instructions burned: 52 (million)
% 2.49/0.71 % (1911)------------------------------
% 2.49/0.71 % (1911)------------------------------
% 2.49/0.71 % (1909)Instruction limit reached!
% 2.49/0.71 % (1909)------------------------------
% 2.49/0.71 % (1909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.71 % (1909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.71 % (1909)Termination reason: Unknown
% 2.49/0.71 % (1909)Termination phase: Saturation
% 2.49/0.71
% 2.49/0.71 % (1909)Memory used [KB]: 6524
% 2.49/0.71 % (1909)Time elapsed: 0.278 s
% 2.49/0.71 % (1909)Instructions burned: 52 (million)
% 2.49/0.71 % (1909)------------------------------
% 2.49/0.71 % (1909)------------------------------
% 2.49/0.71 % (1908)Instruction limit reached!
% 2.49/0.71 % (1908)------------------------------
% 2.49/0.71 % (1908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.71 % (1908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.71 % (1908)Termination reason: Unknown
% 2.49/0.71 % (1908)Termination phase: Saturation
% 2.49/0.71
% 2.49/0.71 % (1908)Memory used [KB]: 6780
% 2.49/0.71 % (1908)Time elapsed: 0.281 s
% 2.49/0.71 % (1908)Instructions burned: 51 (million)
% 2.49/0.71 % (1908)------------------------------
% 2.49/0.71 % (1908)------------------------------
% 2.49/0.72 % (1910)Instruction limit reached!
% 2.49/0.72 % (1910)------------------------------
% 2.49/0.72 % (1910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.72 % (1910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.72 % (1910)Termination reason: Unknown
% 2.49/0.72 % (1910)Termination phase: Saturation
% 2.49/0.72
% 2.49/0.72 % (1910)Memory used [KB]: 6652
% 2.49/0.72 % (1910)Time elapsed: 0.268 s
% 2.49/0.72 % (1910)Instructions burned: 48 (million)
% 2.49/0.72 % (1910)------------------------------
% 2.49/0.72 % (1910)------------------------------
% 2.49/0.75 % (1920)Instruction limit reached!
% 2.49/0.75 % (1920)------------------------------
% 2.49/0.75 % (1920)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.49/0.75 % (1920)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.49/0.75 % (1920)Termination reason: Unknown
% 2.49/0.75 % (1920)Termination phase: Saturation
% 2.49/0.75
% 2.49/0.75 % (1920)Memory used [KB]: 2558
% 2.49/0.75 % (1920)Time elapsed: 0.265 s
% 2.49/0.75 % (1920)Instructions burned: 75 (million)
% 2.49/0.75 % (1920)------------------------------
% 2.49/0.75 % (1920)------------------------------
% 2.85/0.78 % (1931)Instruction limit reached!
% 2.85/0.78 % (1931)------------------------------
% 2.85/0.78 % (1931)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.78 % (1931)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.78 % (1931)Termination reason: Unknown
% 2.85/0.78 % (1931)Termination phase: Saturation
% 2.85/0.78
% 2.85/0.78 % (1931)Memory used [KB]: 7803
% 2.85/0.78 % (1931)Time elapsed: 0.058 s
% 2.85/0.78 % (1931)Instructions burned: 68 (million)
% 2.85/0.78 % (1931)------------------------------
% 2.85/0.78 % (1931)------------------------------
% 2.85/0.80 % (1923)Instruction limit reached!
% 2.85/0.80 % (1923)------------------------------
% 2.85/0.80 % (1923)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.80 % (1923)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.80 % (1923)Termination reason: Unknown
% 2.85/0.80 % (1923)Termination phase: Saturation
% 2.85/0.80
% 2.85/0.80 % (1923)Memory used [KB]: 7419
% 2.85/0.80 % (1923)Time elapsed: 0.354 s
% 2.85/0.80 % (1923)Instructions burned: 100 (million)
% 2.85/0.80 % (1923)------------------------------
% 2.85/0.80 % (1923)------------------------------
% 2.85/0.82 % (1919)Instruction limit reached!
% 2.85/0.82 % (1919)------------------------------
% 2.85/0.82 % (1919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.82 % (1919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.82 % (1919)Termination reason: Unknown
% 2.85/0.82 % (1919)Termination phase: Saturation
% 2.85/0.82
% 2.85/0.82 % (1919)Memory used [KB]: 7675
% 2.85/0.82 % (1919)Time elapsed: 0.059 s
% 2.85/0.82 % (1919)Instructions burned: 68 (million)
% 2.85/0.82 % (1919)------------------------------
% 2.85/0.82 % (1919)------------------------------
% 2.85/0.84 % (1970)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.85/0.84 % (1971)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.29/0.86 % (1918)Instruction limit reached!
% 3.29/0.86 % (1918)------------------------------
% 3.29/0.86 % (1918)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.87 % (1918)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.87 % (1918)Termination reason: Unknown
% 3.29/0.87 % (1918)Termination phase: Saturation
% 3.29/0.87
% 3.29/0.87 % (1918)Memory used [KB]: 7291
% 3.29/0.87 % (1918)Time elapsed: 0.430 s
% 3.29/0.87 % (1918)Instructions burned: 99 (million)
% 3.29/0.87 % (1918)------------------------------
% 3.29/0.87 % (1918)------------------------------
% 3.29/0.88 TRYING [1]
% 3.29/0.89 % (1974)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.29/0.89 % (1917)Instruction limit reached!
% 3.29/0.89 % (1917)------------------------------
% 3.29/0.89 % (1917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.29/0.89 % (1917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.29/0.89 % (1917)Termination reason: Unknown
% 3.29/0.89 % (1917)Termination phase: Saturation
% 3.29/0.89
% 3.29/0.89 % (1917)Memory used [KB]: 7291
% 3.29/0.89 % (1917)Time elapsed: 0.460 s
% 3.29/0.89 % (1917)Instructions burned: 101 (million)
% 3.29/0.89 % (1917)------------------------------
% 3.29/0.89 % (1917)------------------------------
% 3.46/0.90 % (1924)Instruction limit reached!
% 3.46/0.90 % (1924)------------------------------
% 3.46/0.90 % (1924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.90 % (1924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.90 % (1924)Termination reason: Unknown
% 3.46/0.90 % (1924)Termination phase: Saturation
% 3.46/0.90
% 3.46/0.90 % (1924)Memory used [KB]: 2430
% 3.46/0.90 % (1924)Time elapsed: 0.439 s
% 3.46/0.90 % (1924)Instructions burned: 101 (million)
% 3.46/0.90 % (1924)------------------------------
% 3.46/0.90 % (1924)------------------------------
% 3.46/0.90 % (1916)Instruction limit reached!
% 3.46/0.90 % (1916)------------------------------
% 3.46/0.90 % (1916)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.46/0.90 % (1916)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.46/0.90 % (1916)Termination reason: Unknown
% 3.46/0.90 % (1916)Termination phase: Saturation
% 3.46/0.90
% 3.46/0.90 % (1916)Memory used [KB]: 7803
% 3.46/0.90 % (1916)Time elapsed: 0.453 s
% 3.46/0.90 % (1916)Instructions burned: 100 (million)
% 3.46/0.90 % (1916)------------------------------
% 3.46/0.90 % (1916)------------------------------
% 3.46/0.90 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.46/0.90 % (1977)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/981Mi)
% 3.46/0.90 % (1972)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.46/0.91 % (1973)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.46/0.92 % (1968)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.46/0.93 % (1969)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.63/0.94 % (1980)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 3.63/0.94 % (1975)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.63/0.94 % (1979)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/90Mi)
% 3.63/0.94 % (1976)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/940Mi)
% 3.63/0.96 TRYING [2]
% 3.63/0.98 % (1970)Instruction limit reached!
% 3.63/0.98 % (1970)------------------------------
% 3.63/0.98 % (1970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/0.98 % (1970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/0.98 % (1970)Termination reason: Unknown
% 3.63/0.98 % (1970)Termination phase: Saturation
% 3.63/0.98
% 3.63/0.98 % (1970)Memory used [KB]: 7036
% 3.63/0.98 % (1970)Time elapsed: 0.221 s
% 3.63/0.98 % (1970)Instructions burned: 92 (million)
% 3.63/0.98 % (1970)------------------------------
% 3.63/0.98 % (1970)------------------------------
% 3.63/0.99 % (1983)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4958Mi)
% 3.63/1.00 % (1921)Instruction limit reached!
% 3.63/1.00 % (1921)------------------------------
% 3.63/1.00 % (1921)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.63/1.00 % (1921)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.63/1.00 % (1921)Termination reason: Unknown
% 3.63/1.00 % (1921)Termination phase: Saturation
% 3.63/1.00
% 3.63/1.00 % (1921)Memory used [KB]: 7164
% 3.63/1.00 % (1921)Time elapsed: 0.536 s
% 3.63/1.00 % (1921)Instructions burned: 100 (million)
% 3.63/1.00 % (1921)------------------------------
% 3.63/1.00 % (1921)------------------------------
% 3.90/1.00 % (1926)Instruction limit reached!
% 3.90/1.00 % (1926)------------------------------
% 3.90/1.00 % (1926)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.00 % (1926)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.00 % (1926)Termination reason: Unknown
% 3.90/1.00 % (1926)Termination phase: Saturation
% 3.90/1.00
% 3.90/1.00 % (1926)Memory used [KB]: 8187
% 3.90/1.00 % (1926)Time elapsed: 0.566 s
% 3.90/1.00 % (1926)Instructions burned: 138 (million)
% 3.90/1.00 % (1926)------------------------------
% 3.90/1.00 % (1926)------------------------------
% 3.90/1.01 % (1932)Instruction limit reached!
% 3.90/1.01 % (1932)------------------------------
% 3.90/1.01 % (1932)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.90/1.01 % (1932)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.90/1.01 % (1932)Termination reason: Unknown
% 3.90/1.01 % (1932)Termination phase: Saturation
% 3.90/1.01
% 3.90/1.01 % (1932)Memory used [KB]: 3582
% 3.90/1.01 % (1932)Time elapsed: 0.543 s
% 3.90/1.01 % (1932)Instructions burned: 177 (million)
% 3.90/1.01 % (1932)------------------------------
% 3.90/1.01 % (1932)------------------------------
% 3.90/1.01 % (1981)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/3735Mi)
% 4.05/1.06 % (1993)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 4.05/1.06 % (1984)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 4.05/1.06 % (1979)Instruction limit reached!
% 4.05/1.06 % (1979)------------------------------
% 4.05/1.06 % (1979)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.05/1.06 % (1979)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.05/1.06 % (1979)Termination reason: Unknown
% 4.05/1.06 % (1979)Termination phase: Saturation
% 4.05/1.06
% 4.05/1.06 % (1979)Memory used [KB]: 7036
% 4.05/1.06 % (1979)Time elapsed: 0.249 s
% 4.05/1.06 % (1979)Instructions burned: 90 (million)
% 4.05/1.06 % (1979)------------------------------
% 4.05/1.06 % (1979)------------------------------
% 4.05/1.11 % (1925)Instruction limit reached!
% 4.05/1.11 % (1925)------------------------------
% 4.05/1.11 % (1925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.05/1.11 % (1925)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.05/1.11 % (1925)Termination reason: Unknown
% 4.05/1.11 % (1925)Termination phase: Saturation
% 4.05/1.11
% 4.05/1.11 % (1925)Memory used [KB]: 7419
% 4.05/1.11 % (1925)Time elapsed: 0.631 s
% 4.05/1.11 % (1925)Instructions burned: 177 (million)
% 4.05/1.11 % (1925)------------------------------
% 4.05/1.11 % (1925)------------------------------
% 4.05/1.11 % (1975)Instruction limit reached!
% 4.05/1.11 % (1975)------------------------------
% 4.05/1.11 % (1975)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.05/1.11 % (1975)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.05/1.11 % (1975)Termination reason: Unknown
% 4.05/1.11 % (1975)Termination phase: Saturation
% 4.05/1.11
% 4.05/1.11 % (1975)Memory used [KB]: 7675
% 4.05/1.11 % (1975)Time elapsed: 0.053 s
% 4.05/1.11 % (1975)Instructions burned: 68 (million)
% 4.05/1.11 % (1975)------------------------------
% 4.05/1.11 % (1975)------------------------------
% 4.05/1.16 % (1993)First to succeed.
% 4.05/1.16 % (2002)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/2134Mi)
% 4.05/1.17 % (1993)Refutation found. Thanks to Tanya!
% 4.05/1.17 % SZS status Unsatisfiable for theBenchmark
% 4.05/1.17 % SZS output start Proof for theBenchmark
% See solution above
% 4.05/1.17 % (1993)------------------------------
% 4.05/1.17 % (1993)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.05/1.17 % (1993)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.05/1.17 % (1993)Termination reason: Refutation
% 4.05/1.17
% 4.05/1.17 % (1993)Memory used [KB]: 2686
% 4.05/1.17 % (1993)Time elapsed: 0.202 s
% 4.05/1.17 % (1993)Instructions burned: 181 (million)
% 4.05/1.17 % (1993)------------------------------
% 4.05/1.17 % (1993)------------------------------
% 4.05/1.17 % (1904)Success in time 0.81 s
%------------------------------------------------------------------------------