TSTP Solution File: FLD066-3 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 : n008.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 16:07:00 EDT 2022
% Result : Unsatisfiable 9.11s 1.60s
% Output : Refutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 210
% Syntax : Number of formulae : 550 ( 25 unt; 0 def)
% Number of atoms : 1404 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 1400 ( 546 ~; 666 |; 0 &)
% ( 188 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 192 ( 191 usr; 189 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-1 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1338,plain,
$false,
inference(avatar_smt_refutation,[],[f40,f45,f50,f55,f60,f65,f70,f75,f80,f85,f90,f95,f102,f107,f120,f151,f156,f161,f166,f171,f176,f181,f194,f199,f204,f209,f214,f219,f224,f234,f247,f256,f265,f274,f283,f292,f297,f314,f323,f332,f341,f350,f355,f372,f381,f390,f395,f404,f421,f430,f439,f456,f461,f470,f487,f496,f505,f514,f523,f532,f537,f562,f579,f584,f598,f599,f621,f644,f649,f658,f667,f676,f685,f694,f703,f721,f726,f735,f740,f749,f758,f767,f776,f786,f796,f807,f818,f832,f837,f855,f864,f873,f878,f883,f892,f901,f910,f926,f931,f936,f955,f973,f982,f991,f1000,f1005,f1014,f1019,f1028,f1039,f1064,f1085,f1086,f1091,f1096,f1101,f1121,f1126,f1144,f1153,f1158,f1167,f1176,f1185,f1190,f1199,f1209,f1214,f1219,f1241,f1251,f1261,f1271,f1276,f1281,f1291,f1301,f1320,f1335,f1337]) ).
fof(f1337,plain,
( spl0_9
| ~ spl0_11
| ~ spl0_185
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f1336,f1317,f1288,f87,f77]) ).
fof(f77,plain,
( spl0_9
<=> less_or_equal(a,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f87,plain,
( spl0_11
<=> less_or_equal(u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1288,plain,
( spl0_185
<=> sum(v,additive_inverse(c),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1317,plain,
( spl0_187
<=> sum(u,additive_inverse(c),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f1336,plain,
( less_or_equal(a,b)
| ~ spl0_11
| ~ spl0_185
| ~ spl0_187 ),
inference(resolution,[],[f1321,f1319]) ).
fof(f1319,plain,
( sum(u,additive_inverse(c),a)
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1321,plain,
( ! [X0] :
( ~ sum(u,additive_inverse(c),X0)
| less_or_equal(X0,b) )
| ~ spl0_11
| ~ spl0_185 ),
inference(resolution,[],[f1290,f128]) ).
fof(f128,plain,
( ! [X2,X0,X1] :
( ~ sum(v,X0,X2)
| ~ sum(u,X0,X1)
| less_or_equal(X1,X2) )
| ~ spl0_11 ),
inference(resolution,[],[f24,f89]) ).
fof(f89,plain,
( less_or_equal(u,v)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f24,axiom,
! [X3,X0,X1,X4,X5] :
( ~ less_or_equal(X0,X3)
| ~ sum(X0,X5,X4)
| less_or_equal(X4,X1)
| ~ sum(X3,X5,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compatibility_of_order_relation_and_addition) ).
fof(f1290,plain,
( sum(v,additive_inverse(c),b)
| ~ spl0_185 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1335,plain,
( spl0_188
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f1330,f191,f1332]) ).
fof(f1332,plain,
( spl0_188
<=> sum(additive_identity,additive_inverse(additive_identity),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f191,plain,
( spl0_24
<=> sum(additive_inverse(additive_identity),additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f1330,plain,
( sum(additive_identity,additive_inverse(additive_identity),additive_identity)
| ~ spl0_24 ),
inference(resolution,[],[f193,f5]) ).
fof(f5,axiom,
! [X3,X0,X5] :
( ~ sum(X0,X3,X5)
| sum(X3,X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_addition) ).
fof(f193,plain,
( sum(additive_inverse(additive_identity),additive_identity,additive_identity)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f1320,plain,
( spl0_187
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1315,f1278,f1317]) ).
fof(f1278,plain,
( spl0_184
<=> sum(additive_inverse(c),u,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1315,plain,
( sum(u,additive_inverse(c),a)
| ~ spl0_184 ),
inference(resolution,[],[f1280,f5]) ).
fof(f1280,plain,
( sum(additive_inverse(c),u,a)
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f1301,plain,
( spl0_186
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f1296,f221,f1298]) ).
fof(f1298,plain,
( spl0_186
<=> sum(v,additive_inverse(v),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f221,plain,
( spl0_30
<=> sum(additive_inverse(v),v,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1296,plain,
( sum(v,additive_inverse(v),additive_identity)
| ~ spl0_30 ),
inference(resolution,[],[f223,f5]) ).
fof(f223,plain,
( sum(additive_inverse(v),v,additive_identity)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f1291,plain,
( spl0_185
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f1286,f1273,f1288]) ).
fof(f1273,plain,
( spl0_183
<=> sum(additive_inverse(c),v,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f1286,plain,
( sum(v,additive_inverse(c),b)
| ~ spl0_183 ),
inference(resolution,[],[f1275,f5]) ).
fof(f1275,plain,
( sum(additive_inverse(c),v,b)
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1281,plain,
( spl0_184
| ~ spl0_13
| ~ spl0_17
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1263,f216,f148,f99,f1278]) ).
fof(f99,plain,
( spl0_13
<=> sum(c,a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f148,plain,
( spl0_17
<=> sum(additive_identity,a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f216,plain,
( spl0_29
<=> sum(additive_inverse(c),c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f1263,plain,
( sum(additive_inverse(c),u,a)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_29 ),
inference(resolution,[],[f218,f225]) ).
fof(f225,plain,
( ! [X0] :
( ~ sum(X0,c,additive_identity)
| sum(X0,u,a) )
| ~ spl0_13
| ~ spl0_17 ),
inference(resolution,[],[f150,f131]) ).
fof(f131,plain,
( ! [X8,X6,X7] :
( ~ sum(X8,a,X7)
| sum(X6,u,X7)
| ~ sum(X6,c,X8) )
| ~ spl0_13 ),
inference(resolution,[],[f1,f101]) ).
fof(f101,plain,
( sum(c,a,u)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| sum(X0,X1,X2)
| ~ sum(X4,X5,X2)
| ~ sum(X0,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_1) ).
fof(f150,plain,
( sum(additive_identity,a,a)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f218,plain,
( sum(additive_inverse(c),c,additive_identity)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f1276,plain,
( spl0_183
| ~ spl0_14
| ~ spl0_18
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1262,f216,f153,f104,f1273]) ).
fof(f104,plain,
( spl0_14
<=> sum(c,b,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f153,plain,
( spl0_18
<=> sum(additive_identity,b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1262,plain,
( sum(additive_inverse(c),v,b)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_29 ),
inference(resolution,[],[f218,f777]) ).
fof(f777,plain,
( ! [X0] :
( ~ sum(X0,c,additive_identity)
| sum(X0,v,b) )
| ~ spl0_14
| ~ spl0_18 ),
inference(resolution,[],[f155,f132]) ).
fof(f132,plain,
( ! [X10,X11,X9] :
( ~ sum(X11,b,X10)
| sum(X9,v,X10)
| ~ sum(X9,c,X11) )
| ~ spl0_14 ),
inference(resolution,[],[f1,f106]) ).
fof(f106,plain,
( sum(c,b,v)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f104]) ).
fof(f155,plain,
( sum(additive_identity,b,b)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f153]) ).
fof(f1271,plain,
( spl0_182
| ~ spl0_29 ),
inference(avatar_split_clause,[],[f1266,f216,f1268]) ).
fof(f1268,plain,
( spl0_182
<=> sum(c,additive_inverse(c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1266,plain,
( sum(c,additive_inverse(c),additive_identity)
| ~ spl0_29 ),
inference(resolution,[],[f218,f5]) ).
fof(f1261,plain,
( spl0_181
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f1256,f211,f1258]) ).
fof(f1258,plain,
( spl0_181
<=> sum(a,additive_inverse(a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f211,plain,
( spl0_28
<=> sum(additive_inverse(a),a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f1256,plain,
( sum(a,additive_inverse(a),additive_identity)
| ~ spl0_28 ),
inference(resolution,[],[f213,f5]) ).
fof(f213,plain,
( sum(additive_inverse(a),a,additive_identity)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f1251,plain,
( spl0_180
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1246,f206,f1248]) ).
fof(f1248,plain,
( spl0_180
<=> sum(u,additive_inverse(u),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f206,plain,
( spl0_27
<=> sum(additive_inverse(u),u,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1246,plain,
( sum(u,additive_inverse(u),additive_identity)
| ~ spl0_27 ),
inference(resolution,[],[f208,f5]) ).
fof(f208,plain,
( sum(additive_inverse(u),u,additive_identity)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f1241,plain,
( spl0_179
| ~ spl0_26 ),
inference(avatar_split_clause,[],[f1236,f201,f1238]) ).
fof(f1238,plain,
( spl0_179
<=> sum(b,additive_inverse(b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f201,plain,
( spl0_26
<=> sum(additive_inverse(b),b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f1236,plain,
( sum(b,additive_inverse(b),additive_identity)
| ~ spl0_26 ),
inference(resolution,[],[f203,f5]) ).
fof(f203,plain,
( sum(additive_inverse(b),b,additive_identity)
| ~ spl0_26 ),
inference(avatar_component_clause,[],[f201]) ).
fof(f1219,plain,
( spl0_178
| ~ spl0_14
| ~ spl0_21
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1201,f1123,f168,f104,f1216]) ).
fof(f1216,plain,
( spl0_178
<=> sum(v,b,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f168,plain,
( spl0_21
<=> sum(additive_identity,v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1123,plain,
( spl0_161
<=> sum(additive_identity,c,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1201,plain,
( sum(v,b,v)
| ~ spl0_14
| ~ spl0_21
| ~ spl0_161 ),
inference(resolution,[],[f1125,f798]) ).
fof(f798,plain,
( ! [X0] :
( ~ sum(additive_identity,c,X0)
| sum(X0,b,v) )
| ~ spl0_14
| ~ spl0_21 ),
inference(resolution,[],[f170,f136]) ).
fof(f136,plain,
( ! [X10,X11,X9] :
( ~ sum(X11,v,X10)
| sum(X9,b,X10)
| ~ sum(X11,c,X9) )
| ~ spl0_14 ),
inference(resolution,[],[f2,f106]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X3,X5,X1)
| sum(X4,X5,X2)
| ~ sum(X0,X1,X2)
| ~ sum(X0,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_addition_2) ).
fof(f170,plain,
( sum(additive_identity,v,v)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f168]) ).
fof(f1125,plain,
( sum(additive_identity,c,v)
| ~ spl0_161 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1214,plain,
( spl0_177
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1204,f1123,f1211]) ).
fof(f1211,plain,
( spl0_177
<=> sum(c,additive_identity,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1204,plain,
( sum(c,additive_identity,v)
| ~ spl0_161 ),
inference(resolution,[],[f1125,f5]) ).
fof(f1209,plain,
( spl0_176
| ~ spl0_13
| ~ spl0_23
| ~ spl0_161 ),
inference(avatar_split_clause,[],[f1200,f1123,f178,f99,f1206]) ).
fof(f1206,plain,
( spl0_176
<=> sum(v,a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f178,plain,
( spl0_23
<=> sum(additive_identity,u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1200,plain,
( sum(v,a,u)
| ~ spl0_13
| ~ spl0_23
| ~ spl0_161 ),
inference(resolution,[],[f1125,f809]) ).
fof(f809,plain,
( ! [X0] :
( ~ sum(additive_identity,c,X0)
| sum(X0,a,u) )
| ~ spl0_13
| ~ spl0_23 ),
inference(resolution,[],[f180,f135]) ).
fof(f135,plain,
( ! [X8,X6,X7] :
( ~ sum(X8,u,X7)
| sum(X6,a,X7)
| ~ sum(X8,c,X6) )
| ~ spl0_13 ),
inference(resolution,[],[f2,f101]) ).
fof(f180,plain,
( sum(additive_identity,u,u)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f178]) ).
fof(f1199,plain,
( spl0_174
| spl0_175
| ~ spl0_2
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1131,f525,f42,f1196,f1192]) ).
fof(f1192,plain,
( spl0_174
<=> less_or_equal(a,multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1196,plain,
( spl0_175
<=> less_or_equal(multiplicative_inverse(b),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f42,plain,
( spl0_2
<=> defined(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f525,plain,
( spl0_84
<=> defined(multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f1131,plain,
( less_or_equal(multiplicative_inverse(b),a)
| less_or_equal(a,multiplicative_inverse(b))
| ~ spl0_2
| ~ spl0_84 ),
inference(resolution,[],[f527,f123]) ).
fof(f123,plain,
( ! [X2] :
( ~ defined(X2)
| less_or_equal(X2,a)
| less_or_equal(a,X2) )
| ~ spl0_2 ),
inference(resolution,[],[f23,f44]) ).
fof(f44,plain,
( defined(a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f23,axiom,
! [X3,X0] :
( ~ defined(X0)
| ~ defined(X3)
| less_or_equal(X0,X3)
| less_or_equal(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_order_relation) ).
fof(f527,plain,
( defined(multiplicative_inverse(b))
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f1190,plain,
( spl0_173
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1127,f525,f1187]) ).
fof(f1187,plain,
( spl0_173
<=> sum(additive_identity,multiplicative_inverse(b),multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1127,plain,
( sum(additive_identity,multiplicative_inverse(b),multiplicative_inverse(b))
| ~ spl0_84 ),
inference(resolution,[],[f527,f3]) ).
fof(f3,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_identity_addition) ).
fof(f1185,plain,
( spl0_171
| spl0_172
| ~ spl0_7
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1134,f525,f67,f1182,f1178]) ).
fof(f1178,plain,
( spl0_171
<=> less_or_equal(u,multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1182,plain,
( spl0_172
<=> less_or_equal(multiplicative_inverse(b),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f67,plain,
( spl0_7
<=> defined(u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1134,plain,
( less_or_equal(multiplicative_inverse(b),u)
| less_or_equal(u,multiplicative_inverse(b))
| ~ spl0_7
| ~ spl0_84 ),
inference(resolution,[],[f527,f126]) ).
fof(f126,plain,
( ! [X5] :
( ~ defined(X5)
| less_or_equal(u,X5)
| less_or_equal(X5,u) )
| ~ spl0_7 ),
inference(resolution,[],[f23,f69]) ).
fof(f69,plain,
( defined(u)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f1176,plain,
( spl0_169
| spl0_170
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1129,f525,f1173,f1169]) ).
fof(f1169,plain,
( spl0_169
<=> sum(additive_identity,multiplicative_inverse(b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f1173,plain,
( spl0_170
<=> defined(multiplicative_inverse(multiplicative_inverse(b))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f1129,plain,
( defined(multiplicative_inverse(multiplicative_inverse(b)))
| sum(additive_identity,multiplicative_inverse(b),additive_identity)
| ~ spl0_84 ),
inference(resolution,[],[f527,f18]) ).
fof(f18,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_identity,X0,additive_identity)
| defined(multiplicative_inverse(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_inverse) ).
fof(f1167,plain,
( spl0_167
| spl0_168
| ~ spl0_12
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1135,f525,f92,f1164,f1160]) ).
fof(f1160,plain,
( spl0_167
<=> less_or_equal(multiplicative_inverse(b),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1164,plain,
( spl0_168
<=> less_or_equal(v,multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f92,plain,
( spl0_12
<=> defined(v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1135,plain,
( less_or_equal(v,multiplicative_inverse(b))
| less_or_equal(multiplicative_inverse(b),v)
| ~ spl0_12
| ~ spl0_84 ),
inference(resolution,[],[f527,f127]) ).
fof(f127,plain,
( ! [X6] :
( ~ defined(X6)
| less_or_equal(v,X6)
| less_or_equal(X6,v) )
| ~ spl0_12 ),
inference(resolution,[],[f23,f94]) ).
fof(f94,plain,
( defined(v)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f1158,plain,
( spl0_166
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1128,f525,f1155]) ).
fof(f1155,plain,
( spl0_166
<=> sum(additive_inverse(multiplicative_inverse(b)),multiplicative_inverse(b),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f1128,plain,
( sum(additive_inverse(multiplicative_inverse(b)),multiplicative_inverse(b),additive_identity)
| ~ spl0_84 ),
inference(resolution,[],[f527,f4]) ).
fof(f4,axiom,
! [X0] :
( ~ defined(X0)
| sum(additive_inverse(X0),X0,additive_identity) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_of_inverse_addition) ).
fof(f1153,plain,
( spl0_164
| spl0_165
| ~ spl0_1
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1133,f525,f37,f1150,f1146]) ).
fof(f1146,plain,
( spl0_164
<=> less_or_equal(c,multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1150,plain,
( spl0_165
<=> less_or_equal(multiplicative_inverse(b),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f37,plain,
( spl0_1
<=> defined(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f1133,plain,
( less_or_equal(multiplicative_inverse(b),c)
| less_or_equal(c,multiplicative_inverse(b))
| ~ spl0_1
| ~ spl0_84 ),
inference(resolution,[],[f527,f125]) ).
fof(f125,plain,
( ! [X4] :
( ~ defined(X4)
| less_or_equal(X4,c)
| less_or_equal(c,X4) )
| ~ spl0_1 ),
inference(resolution,[],[f23,f39]) ).
fof(f39,plain,
( defined(c)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f1144,plain,
( spl0_162
| spl0_163
| ~ spl0_8
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1132,f525,f72,f1141,f1137]) ).
fof(f1137,plain,
( spl0_162
<=> less_or_equal(multiplicative_inverse(b),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1141,plain,
( spl0_163
<=> less_or_equal(b,multiplicative_inverse(b)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f72,plain,
( spl0_8
<=> defined(b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1132,plain,
( less_or_equal(b,multiplicative_inverse(b))
| less_or_equal(multiplicative_inverse(b),b)
| ~ spl0_8
| ~ spl0_84 ),
inference(resolution,[],[f527,f124]) ).
fof(f124,plain,
( ! [X3] :
( ~ defined(X3)
| less_or_equal(X3,b)
| less_or_equal(b,X3) )
| ~ spl0_8 ),
inference(resolution,[],[f23,f74]) ).
fof(f74,plain,
( defined(b)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f1126,plain,
( spl0_161
| ~ spl0_4
| ~ spl0_21
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1111,f529,f168,f52,f1123]) ).
fof(f52,plain,
( spl0_4
<=> sum(b,c,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f529,plain,
( spl0_85
<=> sum(additive_identity,b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1111,plain,
( sum(additive_identity,c,v)
| ~ spl0_4
| ~ spl0_21
| ~ spl0_85 ),
inference(resolution,[],[f531,f799]) ).
fof(f799,plain,
( ! [X1] :
( ~ sum(additive_identity,b,X1)
| sum(X1,c,v) )
| ~ spl0_4
| ~ spl0_21 ),
inference(resolution,[],[f170,f134]) ).
fof(f134,plain,
( ! [X3,X4,X5] :
( ~ sum(X5,v,X4)
| sum(X3,c,X4)
| ~ sum(X5,b,X3) )
| ~ spl0_4 ),
inference(resolution,[],[f2,f54]) ).
fof(f54,plain,
( sum(b,c,v)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f531,plain,
( sum(additive_identity,b,additive_identity)
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f529]) ).
fof(f1121,plain,
( spl0_160
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f1116,f529,f1118]) ).
fof(f1118,plain,
( spl0_160
<=> sum(b,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1116,plain,
( sum(b,additive_identity,additive_identity)
| ~ spl0_85 ),
inference(resolution,[],[f531,f5]) ).
fof(f1101,plain,
( spl0_159
| ~ spl0_13
| ~ spl0_23
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1074,f516,f178,f99,f1098]) ).
fof(f1098,plain,
( spl0_159
<=> sum(additive_identity,a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f516,plain,
( spl0_82
<=> sum(additive_identity,c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f1074,plain,
( sum(additive_identity,a,u)
| ~ spl0_13
| ~ spl0_23
| ~ spl0_82 ),
inference(resolution,[],[f518,f809]) ).
fof(f518,plain,
( sum(additive_identity,c,additive_identity)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f1096,plain,
( spl0_158
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1080,f516,f1093]) ).
fof(f1093,plain,
( spl0_158
<=> sum(c,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1080,plain,
( sum(c,additive_identity,additive_identity)
| ~ spl0_82 ),
inference(resolution,[],[f518,f5]) ).
fof(f1091,plain,
( spl0_157
| ~ spl0_14
| ~ spl0_21
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1075,f516,f168,f104,f1088]) ).
fof(f1088,plain,
( spl0_157
<=> sum(additive_identity,b,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1075,plain,
( sum(additive_identity,b,v)
| ~ spl0_14
| ~ spl0_21
| ~ spl0_82 ),
inference(resolution,[],[f518,f798]) ).
fof(f1086,plain,
( spl0_87
| ~ spl0_14
| ~ spl0_18
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1076,f516,f153,f104,f581]) ).
fof(f581,plain,
( spl0_87
<=> sum(additive_identity,v,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f1076,plain,
( sum(additive_identity,v,b)
| ~ spl0_14
| ~ spl0_18
| ~ spl0_82 ),
inference(resolution,[],[f518,f777]) ).
fof(f1085,plain,
( spl0_156
| ~ spl0_13
| ~ spl0_17
| ~ spl0_82 ),
inference(avatar_split_clause,[],[f1077,f516,f148,f99,f1082]) ).
fof(f1082,plain,
( spl0_156
<=> sum(additive_identity,u,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f1077,plain,
( sum(additive_identity,u,a)
| ~ spl0_13
| ~ spl0_17
| ~ spl0_82 ),
inference(resolution,[],[f518,f225]) ).
fof(f1064,plain,
( spl0_155
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f1059,f498,f1061]) ).
fof(f1061,plain,
( spl0_155
<=> sum(v,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f498,plain,
( spl0_78
<=> sum(additive_identity,v,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f1059,plain,
( sum(v,additive_identity,additive_identity)
| ~ spl0_78 ),
inference(resolution,[],[f500,f5]) ).
fof(f500,plain,
( sum(additive_identity,v,additive_identity)
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f1039,plain,
( spl0_154
| ~ spl0_13
| ~ spl0_20
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f1034,f493,f163,f99,f1036]) ).
fof(f1036,plain,
( spl0_154
<=> sum(c,a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f163,plain,
( spl0_20
<=> sum(additive_identity,c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f493,plain,
( spl0_77
<=> sum(additive_identity,u,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f1034,plain,
( sum(c,a,additive_identity)
| ~ spl0_13
| ~ spl0_20
| ~ spl0_77 ),
inference(resolution,[],[f1029,f165]) ).
fof(f165,plain,
( sum(additive_identity,c,c)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f163]) ).
fof(f1029,plain,
( ! [X0] :
( ~ sum(additive_identity,c,X0)
| sum(X0,a,additive_identity) )
| ~ spl0_13
| ~ spl0_77 ),
inference(resolution,[],[f495,f135]) ).
fof(f495,plain,
( sum(additive_identity,u,additive_identity)
| ~ spl0_77 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f1028,plain,
( spl0_152
| spl0_153
| ~ spl0_8
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f961,f489,f72,f1025,f1021]) ).
fof(f1021,plain,
( spl0_152
<=> less_or_equal(multiplicative_inverse(u),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1025,plain,
( spl0_153
<=> less_or_equal(b,multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f489,plain,
( spl0_76
<=> defined(multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f961,plain,
( less_or_equal(b,multiplicative_inverse(u))
| less_or_equal(multiplicative_inverse(u),b)
| ~ spl0_8
| ~ spl0_76 ),
inference(resolution,[],[f491,f124]) ).
fof(f491,plain,
( defined(multiplicative_inverse(u))
| ~ spl0_76 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1019,plain,
( spl0_151
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f957,f489,f1016]) ).
fof(f1016,plain,
( spl0_151
<=> sum(additive_inverse(multiplicative_inverse(u)),multiplicative_inverse(u),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f957,plain,
( sum(additive_inverse(multiplicative_inverse(u)),multiplicative_inverse(u),additive_identity)
| ~ spl0_76 ),
inference(resolution,[],[f491,f4]) ).
fof(f1014,plain,
( spl0_149
| spl0_150
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f958,f489,f1011,f1007]) ).
fof(f1007,plain,
( spl0_149
<=> defined(multiplicative_inverse(multiplicative_inverse(u))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1011,plain,
( spl0_150
<=> sum(additive_identity,multiplicative_inverse(u),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f958,plain,
( sum(additive_identity,multiplicative_inverse(u),additive_identity)
| defined(multiplicative_inverse(multiplicative_inverse(u)))
| ~ spl0_76 ),
inference(resolution,[],[f491,f18]) ).
fof(f1005,plain,
( spl0_148
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f956,f489,f1002]) ).
fof(f1002,plain,
( spl0_148
<=> sum(additive_identity,multiplicative_inverse(u),multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f956,plain,
( sum(additive_identity,multiplicative_inverse(u),multiplicative_inverse(u))
| ~ spl0_76 ),
inference(resolution,[],[f491,f3]) ).
fof(f1000,plain,
( spl0_146
| spl0_147
| ~ spl0_7
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f963,f489,f67,f997,f993]) ).
fof(f993,plain,
( spl0_146
<=> less_or_equal(multiplicative_inverse(u),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f997,plain,
( spl0_147
<=> less_or_equal(u,multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f963,plain,
( less_or_equal(u,multiplicative_inverse(u))
| less_or_equal(multiplicative_inverse(u),u)
| ~ spl0_7
| ~ spl0_76 ),
inference(resolution,[],[f491,f126]) ).
fof(f991,plain,
( spl0_144
| spl0_145
| ~ spl0_2
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f960,f489,f42,f988,f984]) ).
fof(f984,plain,
( spl0_144
<=> less_or_equal(a,multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f988,plain,
( spl0_145
<=> less_or_equal(multiplicative_inverse(u),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f960,plain,
( less_or_equal(multiplicative_inverse(u),a)
| less_or_equal(a,multiplicative_inverse(u))
| ~ spl0_2
| ~ spl0_76 ),
inference(resolution,[],[f491,f123]) ).
fof(f982,plain,
( spl0_142
| spl0_143
| ~ spl0_12
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f964,f489,f92,f979,f975]) ).
fof(f975,plain,
( spl0_142
<=> less_or_equal(v,multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f979,plain,
( spl0_143
<=> less_or_equal(multiplicative_inverse(u),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f964,plain,
( less_or_equal(multiplicative_inverse(u),v)
| less_or_equal(v,multiplicative_inverse(u))
| ~ spl0_12
| ~ spl0_76 ),
inference(resolution,[],[f491,f127]) ).
fof(f973,plain,
( spl0_140
| spl0_141
| ~ spl0_1
| ~ spl0_76 ),
inference(avatar_split_clause,[],[f962,f489,f37,f970,f966]) ).
fof(f966,plain,
( spl0_140
<=> less_or_equal(c,multiplicative_inverse(u)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f970,plain,
( spl0_141
<=> less_or_equal(multiplicative_inverse(u),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f962,plain,
( less_or_equal(multiplicative_inverse(u),c)
| less_or_equal(c,multiplicative_inverse(u))
| ~ spl0_1
| ~ spl0_76 ),
inference(resolution,[],[f491,f125]) ).
fof(f955,plain,
( spl0_139
| ~ spl0_77 ),
inference(avatar_split_clause,[],[f950,f493,f952]) ).
fof(f952,plain,
( spl0_139
<=> sum(u,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f950,plain,
( sum(u,additive_identity,additive_identity)
| ~ spl0_77 ),
inference(resolution,[],[f495,f5]) ).
fof(f936,plain,
( spl0_138
| ~ spl0_14
| ~ spl0_21
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f918,f834,f168,f104,f933]) ).
fof(f933,plain,
( spl0_138
<=> sum(u,b,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f834,plain,
( spl0_121
<=> sum(additive_identity,c,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f918,plain,
( sum(u,b,v)
| ~ spl0_14
| ~ spl0_21
| ~ spl0_121 ),
inference(resolution,[],[f836,f798]) ).
fof(f836,plain,
( sum(additive_identity,c,u)
| ~ spl0_121 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f931,plain,
( spl0_137
| ~ spl0_13
| ~ spl0_23
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f917,f834,f178,f99,f928]) ).
fof(f928,plain,
( spl0_137
<=> sum(u,a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f917,plain,
( sum(u,a,u)
| ~ spl0_13
| ~ spl0_23
| ~ spl0_121 ),
inference(resolution,[],[f836,f809]) ).
fof(f926,plain,
( spl0_136
| ~ spl0_121 ),
inference(avatar_split_clause,[],[f921,f834,f923]) ).
fof(f923,plain,
( spl0_136
<=> sum(c,additive_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f921,plain,
( sum(c,additive_identity,u)
| ~ spl0_121 ),
inference(resolution,[],[f836,f5]) ).
fof(f910,plain,
( spl0_134
| spl0_135
| ~ spl0_12
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f846,f480,f92,f907,f903]) ).
fof(f903,plain,
( spl0_134
<=> less_or_equal(multiplicative_inverse(a),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f907,plain,
( spl0_135
<=> less_or_equal(v,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f480,plain,
( spl0_74
<=> defined(multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f846,plain,
( less_or_equal(v,multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),v)
| ~ spl0_12
| ~ spl0_74 ),
inference(resolution,[],[f482,f127]) ).
fof(f482,plain,
( defined(multiplicative_inverse(a))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f901,plain,
( spl0_132
| spl0_133
| ~ spl0_7
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f845,f480,f67,f898,f894]) ).
fof(f894,plain,
( spl0_132
<=> less_or_equal(multiplicative_inverse(a),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f898,plain,
( spl0_133
<=> less_or_equal(u,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f845,plain,
( less_or_equal(u,multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),u)
| ~ spl0_7
| ~ spl0_74 ),
inference(resolution,[],[f482,f126]) ).
fof(f892,plain,
( spl0_130
| spl0_131
| ~ spl0_2
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f842,f480,f42,f889,f885]) ).
fof(f885,plain,
( spl0_130
<=> less_or_equal(multiplicative_inverse(a),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f889,plain,
( spl0_131
<=> less_or_equal(a,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f842,plain,
( less_or_equal(a,multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),a)
| ~ spl0_2
| ~ spl0_74 ),
inference(resolution,[],[f482,f123]) ).
fof(f883,plain,
( spl0_129
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f839,f480,f880]) ).
fof(f880,plain,
( spl0_129
<=> sum(additive_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f839,plain,
( sum(additive_inverse(multiplicative_inverse(a)),multiplicative_inverse(a),additive_identity)
| ~ spl0_74 ),
inference(resolution,[],[f482,f4]) ).
fof(f878,plain,
( spl0_128
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f838,f480,f875]) ).
fof(f875,plain,
( spl0_128
<=> sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f838,plain,
( sum(additive_identity,multiplicative_inverse(a),multiplicative_inverse(a))
| ~ spl0_74 ),
inference(resolution,[],[f482,f3]) ).
fof(f873,plain,
( spl0_126
| spl0_127
| ~ spl0_8
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f843,f480,f72,f870,f866]) ).
fof(f866,plain,
( spl0_126
<=> less_or_equal(multiplicative_inverse(a),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f870,plain,
( spl0_127
<=> less_or_equal(b,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f843,plain,
( less_or_equal(b,multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),b)
| ~ spl0_8
| ~ spl0_74 ),
inference(resolution,[],[f482,f124]) ).
fof(f864,plain,
( spl0_124
| spl0_125
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f840,f480,f861,f857]) ).
fof(f857,plain,
( spl0_124
<=> sum(additive_identity,multiplicative_inverse(a),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f861,plain,
( spl0_125
<=> defined(multiplicative_inverse(multiplicative_inverse(a))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f840,plain,
( defined(multiplicative_inverse(multiplicative_inverse(a)))
| sum(additive_identity,multiplicative_inverse(a),additive_identity)
| ~ spl0_74 ),
inference(resolution,[],[f482,f18]) ).
fof(f855,plain,
( spl0_122
| spl0_123
| ~ spl0_1
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f844,f480,f37,f852,f848]) ).
fof(f848,plain,
( spl0_122
<=> less_or_equal(multiplicative_inverse(a),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f852,plain,
( spl0_123
<=> less_or_equal(c,multiplicative_inverse(a)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f844,plain,
( less_or_equal(c,multiplicative_inverse(a))
| less_or_equal(multiplicative_inverse(a),c)
| ~ spl0_1
| ~ spl0_74 ),
inference(resolution,[],[f482,f125]) ).
fof(f837,plain,
( spl0_121
| ~ spl0_3
| ~ spl0_23
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f822,f484,f178,f47,f834]) ).
fof(f47,plain,
( spl0_3
<=> sum(a,c,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f484,plain,
( spl0_75
<=> sum(additive_identity,a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f822,plain,
( sum(additive_identity,c,u)
| ~ spl0_3
| ~ spl0_23
| ~ spl0_75 ),
inference(resolution,[],[f486,f810]) ).
fof(f810,plain,
( ! [X1] :
( ~ sum(additive_identity,a,X1)
| sum(X1,c,u) )
| ~ spl0_3
| ~ spl0_23 ),
inference(resolution,[],[f180,f133]) ).
fof(f133,plain,
( ! [X2,X0,X1] :
( ~ sum(X2,u,X1)
| ~ sum(X2,a,X0)
| sum(X0,c,X1) )
| ~ spl0_3 ),
inference(resolution,[],[f2,f49]) ).
fof(f49,plain,
( sum(a,c,u)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f486,plain,
( sum(additive_identity,a,additive_identity)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f832,plain,
( spl0_120
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f827,f484,f829]) ).
fof(f829,plain,
( spl0_120
<=> sum(a,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f827,plain,
( sum(a,additive_identity,additive_identity)
| ~ spl0_75 ),
inference(resolution,[],[f486,f5]) ).
fof(f818,plain,
( spl0_119
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f813,f178,f815]) ).
fof(f815,plain,
( spl0_119
<=> sum(u,additive_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f813,plain,
( sum(u,additive_identity,u)
| ~ spl0_23 ),
inference(resolution,[],[f180,f5]) ).
fof(f807,plain,
( spl0_118
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f802,f168,f804]) ).
fof(f804,plain,
( spl0_118
<=> sum(v,additive_identity,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f802,plain,
( sum(v,additive_identity,v)
| ~ spl0_21 ),
inference(resolution,[],[f170,f5]) ).
fof(f796,plain,
( spl0_117
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f791,f163,f793]) ).
fof(f793,plain,
( spl0_117
<=> sum(c,additive_identity,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f791,plain,
( sum(c,additive_identity,c)
| ~ spl0_20 ),
inference(resolution,[],[f165,f5]) ).
fof(f786,plain,
( spl0_116
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f781,f153,f783]) ).
fof(f783,plain,
( spl0_116
<=> sum(b,additive_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f781,plain,
( sum(b,additive_identity,b)
| ~ spl0_18 ),
inference(resolution,[],[f155,f5]) ).
fof(f776,plain,
( spl0_114
| spl0_115
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f706,f520,f773,f769]) ).
fof(f769,plain,
( spl0_114
<=> sum(additive_identity,multiplicative_inverse(c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f773,plain,
( spl0_115
<=> defined(multiplicative_inverse(multiplicative_inverse(c))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f520,plain,
( spl0_83
<=> defined(multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f706,plain,
( defined(multiplicative_inverse(multiplicative_inverse(c)))
| sum(additive_identity,multiplicative_inverse(c),additive_identity)
| ~ spl0_83 ),
inference(resolution,[],[f522,f18]) ).
fof(f522,plain,
( defined(multiplicative_inverse(c))
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f767,plain,
( spl0_112
| spl0_113
| ~ spl0_1
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f710,f520,f37,f764,f760]) ).
fof(f760,plain,
( spl0_112
<=> less_or_equal(c,multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f764,plain,
( spl0_113
<=> less_or_equal(multiplicative_inverse(c),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f710,plain,
( less_or_equal(multiplicative_inverse(c),c)
| less_or_equal(c,multiplicative_inverse(c))
| ~ spl0_1
| ~ spl0_83 ),
inference(resolution,[],[f522,f125]) ).
fof(f758,plain,
( spl0_110
| spl0_111
| ~ spl0_8
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f709,f520,f72,f755,f751]) ).
fof(f751,plain,
( spl0_110
<=> less_or_equal(multiplicative_inverse(c),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f755,plain,
( spl0_111
<=> less_or_equal(b,multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f709,plain,
( less_or_equal(b,multiplicative_inverse(c))
| less_or_equal(multiplicative_inverse(c),b)
| ~ spl0_8
| ~ spl0_83 ),
inference(resolution,[],[f522,f124]) ).
fof(f749,plain,
( spl0_108
| spl0_109
| ~ spl0_7
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f711,f520,f67,f746,f742]) ).
fof(f742,plain,
( spl0_108
<=> less_or_equal(u,multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f746,plain,
( spl0_109
<=> less_or_equal(multiplicative_inverse(c),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f711,plain,
( less_or_equal(multiplicative_inverse(c),u)
| less_or_equal(u,multiplicative_inverse(c))
| ~ spl0_7
| ~ spl0_83 ),
inference(resolution,[],[f522,f126]) ).
fof(f740,plain,
( spl0_107
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f704,f520,f737]) ).
fof(f737,plain,
( spl0_107
<=> sum(additive_identity,multiplicative_inverse(c),multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f704,plain,
( sum(additive_identity,multiplicative_inverse(c),multiplicative_inverse(c))
| ~ spl0_83 ),
inference(resolution,[],[f522,f3]) ).
fof(f735,plain,
( spl0_105
| spl0_106
| ~ spl0_12
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f712,f520,f92,f732,f728]) ).
fof(f728,plain,
( spl0_105
<=> less_or_equal(multiplicative_inverse(c),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f732,plain,
( spl0_106
<=> less_or_equal(v,multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f712,plain,
( less_or_equal(v,multiplicative_inverse(c))
| less_or_equal(multiplicative_inverse(c),v)
| ~ spl0_12
| ~ spl0_83 ),
inference(resolution,[],[f522,f127]) ).
fof(f726,plain,
( spl0_104
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f705,f520,f723]) ).
fof(f723,plain,
( spl0_104
<=> sum(additive_inverse(multiplicative_inverse(c)),multiplicative_inverse(c),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f705,plain,
( sum(additive_inverse(multiplicative_inverse(c)),multiplicative_inverse(c),additive_identity)
| ~ spl0_83 ),
inference(resolution,[],[f522,f4]) ).
fof(f721,plain,
( spl0_102
| spl0_103
| ~ spl0_2
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f708,f520,f42,f718,f714]) ).
fof(f714,plain,
( spl0_102
<=> less_or_equal(a,multiplicative_inverse(c)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f718,plain,
( spl0_103
<=> less_or_equal(multiplicative_inverse(c),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f708,plain,
( less_or_equal(multiplicative_inverse(c),a)
| less_or_equal(a,multiplicative_inverse(c))
| ~ spl0_2
| ~ spl0_83 ),
inference(resolution,[],[f522,f123]) ).
fof(f703,plain,
( spl0_100
| spl0_101
| ~ spl0_8
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f636,f502,f72,f700,f696]) ).
fof(f696,plain,
( spl0_100
<=> less_or_equal(b,multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f700,plain,
( spl0_101
<=> less_or_equal(multiplicative_inverse(v),b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f502,plain,
( spl0_79
<=> defined(multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f636,plain,
( less_or_equal(multiplicative_inverse(v),b)
| less_or_equal(b,multiplicative_inverse(v))
| ~ spl0_8
| ~ spl0_79 ),
inference(resolution,[],[f504,f124]) ).
fof(f504,plain,
( defined(multiplicative_inverse(v))
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f694,plain,
( spl0_98
| spl0_99
| ~ spl0_7
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f638,f502,f67,f691,f687]) ).
fof(f687,plain,
( spl0_98
<=> less_or_equal(u,multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f691,plain,
( spl0_99
<=> less_or_equal(multiplicative_inverse(v),u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f638,plain,
( less_or_equal(multiplicative_inverse(v),u)
| less_or_equal(u,multiplicative_inverse(v))
| ~ spl0_7
| ~ spl0_79 ),
inference(resolution,[],[f504,f126]) ).
fof(f685,plain,
( spl0_96
| spl0_97
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f633,f502,f682,f678]) ).
fof(f678,plain,
( spl0_96
<=> defined(multiplicative_inverse(multiplicative_inverse(v))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f682,plain,
( spl0_97
<=> sum(additive_identity,multiplicative_inverse(v),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f633,plain,
( sum(additive_identity,multiplicative_inverse(v),additive_identity)
| defined(multiplicative_inverse(multiplicative_inverse(v)))
| ~ spl0_79 ),
inference(resolution,[],[f504,f18]) ).
fof(f676,plain,
( spl0_94
| spl0_95
| ~ spl0_1
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f637,f502,f37,f673,f669]) ).
fof(f669,plain,
( spl0_94
<=> less_or_equal(multiplicative_inverse(v),c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f673,plain,
( spl0_95
<=> less_or_equal(c,multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f637,plain,
( less_or_equal(c,multiplicative_inverse(v))
| less_or_equal(multiplicative_inverse(v),c)
| ~ spl0_1
| ~ spl0_79 ),
inference(resolution,[],[f504,f125]) ).
fof(f667,plain,
( spl0_92
| spl0_93
| ~ spl0_12
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f639,f502,f92,f664,f660]) ).
fof(f660,plain,
( spl0_92
<=> less_or_equal(multiplicative_inverse(v),v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f664,plain,
( spl0_93
<=> less_or_equal(v,multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f639,plain,
( less_or_equal(v,multiplicative_inverse(v))
| less_or_equal(multiplicative_inverse(v),v)
| ~ spl0_12
| ~ spl0_79 ),
inference(resolution,[],[f504,f127]) ).
fof(f658,plain,
( spl0_90
| spl0_91
| ~ spl0_2
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f635,f502,f42,f655,f651]) ).
fof(f651,plain,
( spl0_90
<=> less_or_equal(a,multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f655,plain,
( spl0_91
<=> less_or_equal(multiplicative_inverse(v),a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f635,plain,
( less_or_equal(multiplicative_inverse(v),a)
| less_or_equal(a,multiplicative_inverse(v))
| ~ spl0_2
| ~ spl0_79 ),
inference(resolution,[],[f504,f123]) ).
fof(f649,plain,
( spl0_89
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f632,f502,f646]) ).
fof(f646,plain,
( spl0_89
<=> sum(additive_inverse(multiplicative_inverse(v)),multiplicative_inverse(v),additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f632,plain,
( sum(additive_inverse(multiplicative_inverse(v)),multiplicative_inverse(v),additive_identity)
| ~ spl0_79 ),
inference(resolution,[],[f504,f4]) ).
fof(f644,plain,
( spl0_88
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f631,f502,f641]) ).
fof(f641,plain,
( spl0_88
<=> sum(additive_identity,multiplicative_inverse(v),multiplicative_inverse(v)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f631,plain,
( sum(additive_identity,multiplicative_inverse(v),multiplicative_inverse(v))
| ~ spl0_79 ),
inference(resolution,[],[f504,f3]) ).
fof(f621,plain,
( spl0_69
| ~ spl0_11
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f617,f427,f87,f449]) ).
fof(f449,plain,
( spl0_69
<=> less_or_equal(additive_identity,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f427,plain,
( spl0_66
<=> less_or_equal(additive_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f617,plain,
( less_or_equal(additive_identity,v)
| ~ spl0_11
| ~ spl0_66 ),
inference(resolution,[],[f429,f109]) ).
fof(f109,plain,
( ! [X0] :
( ~ less_or_equal(X0,u)
| less_or_equal(X0,v) )
| ~ spl0_11 ),
inference(resolution,[],[f22,f89]) ).
fof(f22,axiom,
! [X3,X0,X5] :
( ~ less_or_equal(X3,X5)
| ~ less_or_equal(X0,X3)
| less_or_equal(X0,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order_relation) ).
fof(f429,plain,
( less_or_equal(additive_identity,u)
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f599,plain,
( spl0_56
| spl0_55
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f413,f67,f37,f365,f369]) ).
fof(f369,plain,
( spl0_56
<=> less_or_equal(c,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f365,plain,
( spl0_55
<=> less_or_equal(u,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f413,plain,
( less_or_equal(u,c)
| less_or_equal(c,u)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f126,f39]) ).
fof(f598,plain,
( spl0_57
| ~ spl0_11
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f594,f369,f87,f374]) ).
fof(f374,plain,
( spl0_57
<=> less_or_equal(c,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f594,plain,
( less_or_equal(c,v)
| ~ spl0_11
| ~ spl0_56 ),
inference(resolution,[],[f371,f109]) ).
fof(f371,plain,
( less_or_equal(c,u)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f369]) ).
fof(f584,plain,
( spl0_87
| ~ spl0_44
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f570,f311,f307,f581]) ).
fof(f307,plain,
( spl0_44
<=> less_or_equal(b,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f311,plain,
( spl0_45
<=> less_or_equal(v,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f570,plain,
( ~ less_or_equal(b,v)
| sum(additive_identity,v,b)
| ~ spl0_45 ),
inference(resolution,[],[f313,f21]) ).
fof(f21,axiom,
! [X3,X0] :
( ~ less_or_equal(X0,X3)
| sum(additive_identity,X0,X3)
| ~ less_or_equal(X3,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',antisymmetry_of_order_relation) ).
fof(f313,plain,
( less_or_equal(v,b)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f579,plain,
( spl0_44
| ~ spl0_11
| ~ spl0_51 ),
inference(avatar_split_clause,[],[f575,f338,f87,f307]) ).
fof(f338,plain,
( spl0_51
<=> less_or_equal(b,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f575,plain,
( less_or_equal(b,v)
| ~ spl0_11
| ~ spl0_51 ),
inference(resolution,[],[f340,f109]) ).
fof(f340,plain,
( less_or_equal(b,u)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f338]) ).
fof(f562,plain,
( spl0_86
| ~ spl0_40
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f556,f276,f280,f559]) ).
fof(f559,plain,
( spl0_86
<=> sum(additive_identity,a,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f280,plain,
( spl0_40
<=> less_or_equal(v,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f276,plain,
( spl0_39
<=> less_or_equal(a,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f556,plain,
( ~ less_or_equal(v,a)
| sum(additive_identity,a,v)
| ~ spl0_39 ),
inference(resolution,[],[f278,f21]) ).
fof(f278,plain,
( less_or_equal(a,v)
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f537,plain,
( spl0_39
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f533,f253,f87,f276]) ).
fof(f253,plain,
( spl0_34
<=> less_or_equal(a,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f533,plain,
( less_or_equal(a,v)
| ~ spl0_11
| ~ spl0_34 ),
inference(resolution,[],[f255,f109]) ).
fof(f255,plain,
( less_or_equal(a,u)
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f532,plain,
( spl0_84
| spl0_85
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f475,f72,f529,f525]) ).
fof(f475,plain,
( sum(additive_identity,b,additive_identity)
| defined(multiplicative_inverse(b))
| ~ spl0_8 ),
inference(resolution,[],[f18,f74]) ).
fof(f523,plain,
( spl0_82
| spl0_83
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f476,f37,f520,f516]) ).
fof(f476,plain,
( defined(multiplicative_inverse(c))
| sum(additive_identity,c,additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f18,f39]) ).
fof(f514,plain,
( spl0_80
| spl0_81
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f473,f57,f511,f507]) ).
fof(f507,plain,
( spl0_80
<=> sum(additive_identity,multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f511,plain,
( spl0_81
<=> defined(multiplicative_inverse(multiplicative_identity)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f57,plain,
( spl0_5
<=> defined(multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f473,plain,
( defined(multiplicative_inverse(multiplicative_identity))
| sum(additive_identity,multiplicative_identity,additive_identity)
| ~ spl0_5 ),
inference(resolution,[],[f18,f59]) ).
fof(f59,plain,
( defined(multiplicative_identity)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f505,plain,
( spl0_78
| spl0_79
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f478,f92,f502,f498]) ).
fof(f478,plain,
( defined(multiplicative_inverse(v))
| sum(additive_identity,v,additive_identity)
| ~ spl0_12 ),
inference(resolution,[],[f18,f94]) ).
fof(f496,plain,
( spl0_76
| spl0_77
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f477,f67,f493,f489]) ).
fof(f477,plain,
( sum(additive_identity,u,additive_identity)
| defined(multiplicative_inverse(u))
| ~ spl0_7 ),
inference(resolution,[],[f18,f69]) ).
fof(f487,plain,
( spl0_74
| spl0_75
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f474,f42,f484,f480]) ).
fof(f474,plain,
( sum(additive_identity,a,additive_identity)
| defined(multiplicative_inverse(a))
| ~ spl0_2 ),
inference(resolution,[],[f18,f44]) ).
fof(f470,plain,
( spl0_72
| spl0_73
| ~ spl0_5
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f441,f92,f57,f467,f463]) ).
fof(f463,plain,
( spl0_72
<=> less_or_equal(multiplicative_identity,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f467,plain,
( spl0_73
<=> less_or_equal(v,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f441,plain,
( less_or_equal(v,multiplicative_identity)
| less_or_equal(multiplicative_identity,v)
| ~ spl0_5
| ~ spl0_12 ),
inference(resolution,[],[f127,f59]) ).
fof(f461,plain,
( spl0_71
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f447,f92,f458]) ).
fof(f458,plain,
( spl0_71
<=> less_or_equal(v,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f447,plain,
( less_or_equal(v,v)
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f446]) ).
fof(f446,plain,
( less_or_equal(v,v)
| less_or_equal(v,v)
| ~ spl0_12 ),
inference(resolution,[],[f127,f94]) ).
fof(f456,plain,
( spl0_69
| spl0_70
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f440,f92,f82,f453,f449]) ).
fof(f453,plain,
( spl0_70
<=> less_or_equal(v,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f82,plain,
( spl0_10
<=> defined(additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f440,plain,
( less_or_equal(v,additive_identity)
| less_or_equal(additive_identity,v)
| ~ spl0_10
| ~ spl0_12 ),
inference(resolution,[],[f127,f84]) ).
fof(f84,plain,
( defined(additive_identity)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f82]) ).
fof(f439,plain,
( spl0_67
| spl0_68
| ~ spl0_5
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f410,f67,f57,f436,f432]) ).
fof(f432,plain,
( spl0_67
<=> less_or_equal(multiplicative_identity,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f436,plain,
( spl0_68
<=> less_or_equal(u,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f410,plain,
( less_or_equal(u,multiplicative_identity)
| less_or_equal(multiplicative_identity,u)
| ~ spl0_5
| ~ spl0_7 ),
inference(resolution,[],[f126,f59]) ).
fof(f430,plain,
( spl0_65
| spl0_66
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f409,f82,f67,f427,f423]) ).
fof(f423,plain,
( spl0_65
<=> less_or_equal(u,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f409,plain,
( less_or_equal(additive_identity,u)
| less_or_equal(u,additive_identity)
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[],[f126,f84]) ).
fof(f421,plain,
( spl0_64
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f416,f67,f418]) ).
fof(f418,plain,
( spl0_64
<=> less_or_equal(u,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f416,plain,
( less_or_equal(u,u)
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f414]) ).
fof(f414,plain,
( less_or_equal(u,u)
| less_or_equal(u,u)
| ~ spl0_7 ),
inference(resolution,[],[f126,f69]) ).
fof(f404,plain,
( spl0_62
| spl0_63
| ~ spl0_1
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f357,f57,f37,f401,f397]) ).
fof(f397,plain,
( spl0_62
<=> less_or_equal(c,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f401,plain,
( spl0_63
<=> less_or_equal(multiplicative_identity,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f357,plain,
( less_or_equal(multiplicative_identity,c)
| less_or_equal(c,multiplicative_identity)
| ~ spl0_1
| ~ spl0_5 ),
inference(resolution,[],[f125,f59]) ).
fof(f395,plain,
( spl0_61
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f363,f37,f392]) ).
fof(f392,plain,
( spl0_61
<=> less_or_equal(c,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f363,plain,
( less_or_equal(c,c)
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f360]) ).
fof(f360,plain,
( less_or_equal(c,c)
| less_or_equal(c,c)
| ~ spl0_1 ),
inference(resolution,[],[f125,f39]) ).
fof(f390,plain,
( spl0_59
| spl0_60
| ~ spl0_1
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f356,f82,f37,f387,f383]) ).
fof(f383,plain,
( spl0_59
<=> less_or_equal(additive_identity,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f387,plain,
( spl0_60
<=> less_or_equal(c,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f356,plain,
( less_or_equal(c,additive_identity)
| less_or_equal(additive_identity,c)
| ~ spl0_1
| ~ spl0_10 ),
inference(resolution,[],[f125,f84]) ).
fof(f381,plain,
( spl0_57
| spl0_58
| ~ spl0_1
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f362,f92,f37,f378,f374]) ).
fof(f378,plain,
( spl0_58
<=> less_or_equal(v,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f362,plain,
( less_or_equal(v,c)
| less_or_equal(c,v)
| ~ spl0_1
| ~ spl0_12 ),
inference(resolution,[],[f125,f94]) ).
fof(f372,plain,
( spl0_55
| spl0_56
| ~ spl0_1
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f361,f67,f37,f369,f365]) ).
fof(f361,plain,
( less_or_equal(c,u)
| less_or_equal(u,c)
| ~ spl0_1
| ~ spl0_7 ),
inference(resolution,[],[f125,f69]) ).
fof(f355,plain,
( spl0_54
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f305,f72,f352]) ).
fof(f352,plain,
( spl0_54
<=> less_or_equal(b,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f305,plain,
( less_or_equal(b,b)
| ~ spl0_8 ),
inference(duplicate_literal_removal,[],[f301]) ).
fof(f301,plain,
( less_or_equal(b,b)
| less_or_equal(b,b)
| ~ spl0_8 ),
inference(resolution,[],[f124,f74]) ).
fof(f350,plain,
( spl0_52
| spl0_53
| ~ spl0_1
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f302,f72,f37,f347,f343]) ).
fof(f343,plain,
( spl0_52
<=> less_or_equal(c,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f347,plain,
( spl0_53
<=> less_or_equal(b,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f302,plain,
( less_or_equal(b,c)
| less_or_equal(c,b)
| ~ spl0_1
| ~ spl0_8 ),
inference(resolution,[],[f124,f39]) ).
fof(f341,plain,
( spl0_50
| spl0_51
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f303,f72,f67,f338,f334]) ).
fof(f334,plain,
( spl0_50
<=> less_or_equal(u,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f303,plain,
( less_or_equal(b,u)
| less_or_equal(u,b)
| ~ spl0_7
| ~ spl0_8 ),
inference(resolution,[],[f124,f69]) ).
fof(f332,plain,
( spl0_48
| spl0_49
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f298,f82,f72,f329,f325]) ).
fof(f325,plain,
( spl0_48
<=> less_or_equal(additive_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f329,plain,
( spl0_49
<=> less_or_equal(b,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f298,plain,
( less_or_equal(b,additive_identity)
| less_or_equal(additive_identity,b)
| ~ spl0_8
| ~ spl0_10 ),
inference(resolution,[],[f124,f84]) ).
fof(f323,plain,
( spl0_46
| spl0_47
| ~ spl0_5
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f299,f72,f57,f320,f316]) ).
fof(f316,plain,
( spl0_46
<=> less_or_equal(multiplicative_identity,b) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f320,plain,
( spl0_47
<=> less_or_equal(b,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f299,plain,
( less_or_equal(b,multiplicative_identity)
| less_or_equal(multiplicative_identity,b)
| ~ spl0_5
| ~ spl0_8 ),
inference(resolution,[],[f124,f59]) ).
fof(f314,plain,
( spl0_44
| spl0_45
| ~ spl0_8
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f304,f92,f72,f311,f307]) ).
fof(f304,plain,
( less_or_equal(v,b)
| less_or_equal(b,v)
| ~ spl0_8
| ~ spl0_12 ),
inference(resolution,[],[f124,f94]) ).
fof(f297,plain,
( spl0_43
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f242,f42,f294]) ).
fof(f294,plain,
( spl0_43
<=> less_or_equal(a,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f242,plain,
( less_or_equal(a,a)
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f237,plain,
( less_or_equal(a,a)
| less_or_equal(a,a)
| ~ spl0_2 ),
inference(resolution,[],[f123,f44]) ).
fof(f292,plain,
( spl0_41
| spl0_42
| ~ spl0_2
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f235,f82,f42,f289,f285]) ).
fof(f285,plain,
( spl0_41
<=> less_or_equal(additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f289,plain,
( spl0_42
<=> less_or_equal(a,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f235,plain,
( less_or_equal(a,additive_identity)
| less_or_equal(additive_identity,a)
| ~ spl0_2
| ~ spl0_10 ),
inference(resolution,[],[f123,f84]) ).
fof(f283,plain,
( spl0_39
| spl0_40
| ~ spl0_2
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f241,f92,f42,f280,f276]) ).
fof(f241,plain,
( less_or_equal(v,a)
| less_or_equal(a,v)
| ~ spl0_2
| ~ spl0_12 ),
inference(resolution,[],[f123,f94]) ).
fof(f274,plain,
( spl0_37
| spl0_38
| ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f239,f42,f37,f271,f267]) ).
fof(f267,plain,
( spl0_37
<=> less_or_equal(c,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f271,plain,
( spl0_38
<=> less_or_equal(a,c) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f239,plain,
( less_or_equal(a,c)
| less_or_equal(c,a)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f123,f39]) ).
fof(f265,plain,
( spl0_35
| spl0_36
| ~ spl0_2
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f236,f57,f42,f262,f258]) ).
fof(f258,plain,
( spl0_35
<=> less_or_equal(multiplicative_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f262,plain,
( spl0_36
<=> less_or_equal(a,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f236,plain,
( less_or_equal(a,multiplicative_identity)
| less_or_equal(multiplicative_identity,a)
| ~ spl0_2
| ~ spl0_5 ),
inference(resolution,[],[f123,f59]) ).
fof(f256,plain,
( spl0_33
| spl0_34
| ~ spl0_2
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f240,f67,f42,f253,f249]) ).
fof(f249,plain,
( spl0_33
<=> less_or_equal(u,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f240,plain,
( less_or_equal(a,u)
| less_or_equal(u,a)
| ~ spl0_2
| ~ spl0_7 ),
inference(resolution,[],[f123,f69]) ).
fof(f247,plain,
( spl0_9
| spl0_32
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f238,f72,f42,f244,f77]) ).
fof(f244,plain,
( spl0_32
<=> less_or_equal(b,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f238,plain,
( less_or_equal(b,a)
| less_or_equal(a,b)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[],[f123,f74]) ).
fof(f234,plain,
( spl0_31
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f229,f148,f231]) ).
fof(f231,plain,
( spl0_31
<=> sum(a,additive_identity,a) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f229,plain,
( sum(a,additive_identity,a)
| ~ spl0_17 ),
inference(resolution,[],[f150,f5]) ).
fof(f224,plain,
( spl0_30
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f189,f92,f221]) ).
fof(f189,plain,
( sum(additive_inverse(v),v,additive_identity)
| ~ spl0_12 ),
inference(resolution,[],[f4,f94]) ).
fof(f219,plain,
( spl0_29
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f187,f37,f216]) ).
fof(f187,plain,
( sum(additive_inverse(c),c,additive_identity)
| ~ spl0_1 ),
inference(resolution,[],[f4,f39]) ).
fof(f214,plain,
( spl0_28
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f185,f42,f211]) ).
fof(f185,plain,
( sum(additive_inverse(a),a,additive_identity)
| ~ spl0_2 ),
inference(resolution,[],[f4,f44]) ).
fof(f209,plain,
( spl0_27
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f188,f67,f206]) ).
fof(f188,plain,
( sum(additive_inverse(u),u,additive_identity)
| ~ spl0_7 ),
inference(resolution,[],[f4,f69]) ).
fof(f204,plain,
( spl0_26
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f186,f72,f201]) ).
fof(f186,plain,
( sum(additive_inverse(b),b,additive_identity)
| ~ spl0_8 ),
inference(resolution,[],[f4,f74]) ).
fof(f199,plain,
( spl0_25
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f184,f57,f196]) ).
fof(f196,plain,
( spl0_25
<=> sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f184,plain,
( sum(additive_inverse(multiplicative_identity),multiplicative_identity,additive_identity)
| ~ spl0_5 ),
inference(resolution,[],[f4,f59]) ).
fof(f194,plain,
( spl0_24
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f183,f82,f191]) ).
fof(f183,plain,
( sum(additive_inverse(additive_identity),additive_identity,additive_identity)
| ~ spl0_10 ),
inference(resolution,[],[f4,f84]) ).
fof(f181,plain,
( spl0_23
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f145,f67,f178]) ).
fof(f145,plain,
( sum(additive_identity,u,u)
| ~ spl0_7 ),
inference(resolution,[],[f3,f69]) ).
fof(f176,plain,
( spl0_22
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f140,f82,f173]) ).
fof(f173,plain,
( spl0_22
<=> sum(additive_identity,additive_identity,additive_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f140,plain,
( sum(additive_identity,additive_identity,additive_identity)
| ~ spl0_10 ),
inference(resolution,[],[f3,f84]) ).
fof(f171,plain,
( spl0_21
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f146,f92,f168]) ).
fof(f146,plain,
( sum(additive_identity,v,v)
| ~ spl0_12 ),
inference(resolution,[],[f3,f94]) ).
fof(f166,plain,
( spl0_20
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f144,f37,f163]) ).
fof(f144,plain,
( sum(additive_identity,c,c)
| ~ spl0_1 ),
inference(resolution,[],[f3,f39]) ).
fof(f161,plain,
( spl0_19
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f141,f57,f158]) ).
fof(f158,plain,
( spl0_19
<=> sum(additive_identity,multiplicative_identity,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f141,plain,
( sum(additive_identity,multiplicative_identity,multiplicative_identity)
| ~ spl0_5 ),
inference(resolution,[],[f3,f59]) ).
fof(f156,plain,
( spl0_18
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f143,f72,f153]) ).
fof(f143,plain,
( sum(additive_identity,b,b)
| ~ spl0_8 ),
inference(resolution,[],[f3,f74]) ).
fof(f151,plain,
( spl0_17
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f142,f42,f148]) ).
fof(f142,plain,
( sum(additive_identity,a,a)
| ~ spl0_2 ),
inference(resolution,[],[f3,f44]) ).
fof(f120,plain,
( spl0_15
| ~ spl0_16
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f111,f87,f117,f113]) ).
fof(f113,plain,
( spl0_15
<=> sum(additive_identity,u,v) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f117,plain,
( spl0_16
<=> less_or_equal(v,u) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f111,plain,
( ~ less_or_equal(v,u)
| sum(additive_identity,u,v)
| ~ spl0_11 ),
inference(resolution,[],[f21,f89]) ).
fof(f107,plain,
( spl0_14
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f97,f52,f104]) ).
fof(f97,plain,
( sum(c,b,v)
| ~ spl0_4 ),
inference(resolution,[],[f5,f54]) ).
fof(f102,plain,
( spl0_13
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f96,f47,f99]) ).
fof(f96,plain,
( sum(c,a,u)
| ~ spl0_3 ),
inference(resolution,[],[f5,f49]) ).
fof(f95,plain,
spl0_12,
inference(avatar_split_clause,[],[f31,f92]) ).
fof(f31,axiom,
defined(v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_is_defined) ).
fof(f90,plain,
spl0_11,
inference(avatar_split_clause,[],[f34,f87]) ).
fof(f34,axiom,
less_or_equal(u,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_or_equal_8) ).
fof(f85,plain,
spl0_10,
inference(avatar_split_clause,[],[f14,f82]) ).
fof(f14,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_additive_identity) ).
fof(f80,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f35,f77]) ).
fof(f35,axiom,
~ less_or_equal(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_less_or_equal_9) ).
fof(f75,plain,
spl0_8,
inference(avatar_split_clause,[],[f28,f72]) ).
fof(f28,axiom,
defined(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_defined) ).
fof(f70,plain,
spl0_7,
inference(avatar_split_clause,[],[f30,f67]) ).
fof(f30,axiom,
defined(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_is_defined) ).
fof(f65,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f26,f62]) ).
fof(f62,plain,
( spl0_6
<=> sum(additive_identity,additive_identity,multiplicative_identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f26,axiom,
~ sum(additive_identity,additive_identity,multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',different_identities) ).
fof(f60,plain,
spl0_5,
inference(avatar_split_clause,[],[f17,f57]) ).
fof(f17,axiom,
defined(multiplicative_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_definedness_of_multiplicative_identity) ).
fof(f55,plain,
spl0_4,
inference(avatar_split_clause,[],[f33,f52]) ).
fof(f33,axiom,
sum(b,c,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_7) ).
fof(f50,plain,
spl0_3,
inference(avatar_split_clause,[],[f32,f47]) ).
fof(f32,axiom,
sum(a,c,u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_6) ).
fof(f45,plain,
spl0_2,
inference(avatar_split_clause,[],[f27,f42]) ).
fof(f27,axiom,
defined(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_defined) ).
fof(f40,plain,
spl0_1,
inference(avatar_split_clause,[],[f29,f37]) ).
fof(f29,axiom,
defined(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_defined) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD066-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 20:47:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.20/0.50 % (4057)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (4051)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)
% 0.20/0.53 % (4059)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.54 % (4050)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (4058)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)
% 0.20/0.54 % (4049)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)
% 1.50/0.55 % (4076)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.55 % (4070)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)
% 1.50/0.55 % (4061)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)
% 1.50/0.56 % (4056)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)
% 1.50/0.56 % (4053)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)
% 1.50/0.56 % (4074)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)
% 1.50/0.56 % (4068)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)
% 1.76/0.56 TRYING [1]
% 1.76/0.56 TRYING [2]
% 1.76/0.57 % (4073)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.76/0.57 % (4060)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.76/0.57 % (4065)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.57 % (4075)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)
% 1.76/0.57 % (4047)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)
% 1.76/0.57 % (4046)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)
% 1.76/0.57 TRYING [3]
% 1.76/0.57 TRYING [1]
% 1.76/0.57 TRYING [2]
% 1.76/0.58 % (4048)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)
% 1.76/0.58 % (4077)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)
% 1.76/0.58 % (4064)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.76/0.58 % (4066)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)
% 1.76/0.59 % (4069)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.76/0.59 % (4047)Refutation not found, incomplete strategy% (4047)------------------------------
% 1.76/0.59 % (4047)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.59 % (4047)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.59 % (4047)Termination reason: Refutation not found, incomplete strategy
% 1.76/0.59
% 1.76/0.59 % (4047)Memory used [KB]: 5373
% 1.76/0.59 % (4047)Time elapsed: 0.189 s
% 1.76/0.59 % (4047)Instructions burned: 3 (million)
% 1.76/0.59 % (4047)------------------------------
% 1.76/0.59 % (4047)------------------------------
% 1.76/0.60 TRYING [1]
% 1.76/0.60 % (4072)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.76/0.60 TRYING [3]
% 1.76/0.60 % (4071)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)
% 1.76/0.60 TRYING [2]
% 1.76/0.60 % (4063)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)
% 1.76/0.61 TRYING [4]
% 1.76/0.61 % (4055)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.76/0.61 % (4055)Instruction limit reached!
% 1.76/0.61 % (4055)------------------------------
% 1.76/0.61 % (4055)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.61 % (4055)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.61 % (4055)Termination reason: Unknown
% 1.76/0.61 % (4055)Termination phase: Blocked clause elimination
% 1.76/0.61
% 1.76/0.61 % (4055)Memory used [KB]: 895
% 1.76/0.61 % (4055)Time elapsed: 0.003 s
% 1.76/0.61 % (4055)Instructions burned: 2 (million)
% 1.76/0.61 % (4055)------------------------------
% 1.76/0.61 % (4055)------------------------------
% 1.76/0.61 % (4062)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)
% 1.76/0.61 TRYING [3]
% 1.76/0.62 % (4054)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.76/0.63 TRYING [4]
% 1.76/0.63 % (4053)Instruction limit reached!
% 1.76/0.63 % (4053)------------------------------
% 1.76/0.63 % (4053)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.64 % (4053)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.64 % (4053)Termination reason: Unknown
% 1.76/0.64 % (4053)Termination phase: Finite model building constraint generation
% 1.76/0.64
% 1.76/0.64 % (4053)Memory used [KB]: 7803
% 1.76/0.64 % (4053)Time elapsed: 0.141 s
% 1.76/0.64 % (4053)Instructions burned: 51 (million)
% 1.76/0.64 % (4053)------------------------------
% 1.76/0.64 % (4053)------------------------------
% 2.35/0.64 TRYING [4]
% 2.35/0.65 % (4054)Instruction limit reached!
% 2.35/0.65 % (4054)------------------------------
% 2.35/0.65 % (4054)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65 % (4054)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65 % (4054)Termination reason: Unknown
% 2.35/0.65 % (4054)Termination phase: Saturation
% 2.35/0.65
% 2.35/0.65 % (4054)Memory used [KB]: 5500
% 2.35/0.65 % (4054)Time elapsed: 0.247 s
% 2.35/0.65 % (4054)Instructions burned: 7 (million)
% 2.35/0.65 % (4054)------------------------------
% 2.35/0.65 % (4054)------------------------------
% 2.35/0.65 % (4050)Instruction limit reached!
% 2.35/0.65 % (4050)------------------------------
% 2.35/0.65 % (4050)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65 % (4050)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65 % (4050)Termination reason: Unknown
% 2.35/0.65 % (4050)Termination phase: Saturation
% 2.35/0.65
% 2.35/0.65 % (4050)Memory used [KB]: 6524
% 2.35/0.65 % (4050)Time elapsed: 0.240 s
% 2.35/0.65 % (4050)Instructions burned: 51 (million)
% 2.35/0.65 % (4050)------------------------------
% 2.35/0.65 % (4050)------------------------------
% 2.35/0.65 % (4048)Instruction limit reached!
% 2.35/0.65 % (4048)------------------------------
% 2.35/0.65 % (4048)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65 % (4048)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65 % (4048)Termination reason: Unknown
% 2.35/0.65 % (4048)Termination phase: Saturation
% 2.35/0.65
% 2.35/0.65 % (4048)Memory used [KB]: 1279
% 2.35/0.65 % (4048)Time elapsed: 0.235 s
% 2.35/0.65 % (4048)Instructions burned: 37 (million)
% 2.35/0.65 % (4048)------------------------------
% 2.35/0.65 % (4048)------------------------------
% 2.35/0.65 % (4051)Instruction limit reached!
% 2.35/0.65 % (4051)------------------------------
% 2.35/0.65 % (4051)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65 % (4051)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65 % (4051)Termination reason: Unknown
% 2.35/0.65 % (4051)Termination phase: Saturation
% 2.35/0.65
% 2.35/0.65 % (4051)Memory used [KB]: 6012
% 2.35/0.65 % (4051)Time elapsed: 0.270 s
% 2.35/0.65 % (4051)Instructions burned: 49 (million)
% 2.35/0.65 % (4051)------------------------------
% 2.35/0.65 % (4051)------------------------------
% 2.35/0.65 % (4056)Instruction limit reached!
% 2.35/0.65 % (4056)------------------------------
% 2.35/0.65 % (4056)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.65 % (4056)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.65 % (4056)Termination reason: Unknown
% 2.35/0.65 % (4056)Termination phase: Saturation
% 2.35/0.65
% 2.35/0.65 % (4056)Memory used [KB]: 1023
% 2.35/0.65 % (4056)Time elapsed: 0.211 s
% 2.35/0.65 % (4056)Instructions burned: 51 (million)
% 2.35/0.65 % (4056)------------------------------
% 2.35/0.65 % (4056)------------------------------
% 2.35/0.66 % (4057)Instruction limit reached!
% 2.35/0.66 % (4057)------------------------------
% 2.35/0.66 % (4057)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.66 % (4057)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.66 % (4057)Termination reason: Unknown
% 2.35/0.66 % (4057)Termination phase: Saturation
% 2.35/0.66
% 2.35/0.66 % (4057)Memory used [KB]: 6396
% 2.35/0.66 % (4057)Time elapsed: 0.282 s
% 2.35/0.66 % (4057)Instructions burned: 51 (million)
% 2.35/0.66 % (4057)------------------------------
% 2.35/0.66 % (4057)------------------------------
% 2.35/0.67 % (4064)Instruction limit reached!
% 2.35/0.67 % (4064)------------------------------
% 2.35/0.67 % (4064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.35/0.67 % (4064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.35/0.67 % (4064)Termination reason: Unknown
% 2.35/0.67 % (4064)Termination phase: Finite model building constraint generation
% 2.35/0.67
% 2.35/0.67 % (4064)Memory used [KB]: 8315
% 2.35/0.67 % (4064)Time elapsed: 0.253 s
% 2.35/0.67 % (4064)Instructions burned: 59 (million)
% 2.35/0.67 % (4064)------------------------------
% 2.35/0.67 % (4064)------------------------------
% 2.64/0.68 % (4049)Instruction limit reached!
% 2.64/0.68 % (4049)------------------------------
% 2.64/0.68 % (4049)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.68 % (4049)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.68 % (4049)Termination reason: Unknown
% 2.64/0.68 % (4049)Termination phase: Saturation
% 2.64/0.68
% 2.64/0.68 % (4049)Memory used [KB]: 6396
% 2.64/0.68 % (4049)Time elapsed: 0.297 s
% 2.64/0.68 % (4049)Instructions burned: 52 (million)
% 2.64/0.68 % (4049)------------------------------
% 2.64/0.68 % (4049)------------------------------
% 2.64/0.68 % (4061)Instruction limit reached!
% 2.64/0.68 % (4061)------------------------------
% 2.64/0.68 % (4061)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.68 % (4061)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.68 % (4061)Termination reason: Unknown
% 2.64/0.68 % (4061)Termination phase: Saturation
% 2.64/0.68
% 2.64/0.68 % (4061)Memory used [KB]: 6268
% 2.64/0.68 % (4061)Time elapsed: 0.096 s
% 2.64/0.68 % (4061)Instructions burned: 68 (million)
% 2.64/0.68 % (4061)------------------------------
% 2.64/0.68 % (4061)------------------------------
% 2.64/0.72 % (4066)Instruction limit reached!
% 2.64/0.72 % (4066)------------------------------
% 2.64/0.72 % (4066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.72 % (4066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.72 % (4066)Termination reason: Unknown
% 2.64/0.72 % (4066)Termination phase: Saturation
% 2.64/0.72
% 2.64/0.72 % (4066)Memory used [KB]: 1279
% 2.64/0.72 % (4066)Time elapsed: 0.314 s
% 2.64/0.72 % (4066)Instructions burned: 101 (million)
% 2.64/0.72 % (4066)------------------------------
% 2.64/0.72 % (4066)------------------------------
% 2.93/0.74 % (4060)Instruction limit reached!
% 2.93/0.74 % (4060)------------------------------
% 2.93/0.74 % (4060)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.74 % (4060)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.74 % (4060)Termination reason: Unknown
% 2.93/0.74 % (4060)Termination phase: Saturation
% 2.93/0.74
% 2.93/0.74 % (4060)Memory used [KB]: 6396
% 2.93/0.74 % (4060)Time elapsed: 0.326 s
% 2.93/0.74 % (4060)Instructions burned: 100 (million)
% 2.93/0.74 % (4060)------------------------------
% 2.93/0.74 % (4060)------------------------------
% 2.93/0.75 % (4074)Instruction limit reached!
% 2.93/0.75 % (4074)------------------------------
% 2.93/0.75 % (4074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (4074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (4074)Termination reason: Unknown
% 2.93/0.75 % (4074)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (4074)Memory used [KB]: 6268
% 2.93/0.75 % (4074)Time elapsed: 0.056 s
% 2.93/0.75 % (4074)Instructions burned: 68 (million)
% 2.93/0.75 % (4074)------------------------------
% 2.93/0.75 % (4074)------------------------------
% 2.93/0.75 % (4059)Instruction limit reached!
% 2.93/0.75 % (4059)------------------------------
% 2.93/0.75 % (4059)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.93/0.75 % (4059)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.93/0.75 % (4059)Termination reason: Unknown
% 2.93/0.75 % (4059)Termination phase: Saturation
% 2.93/0.75
% 2.93/0.75 % (4059)Memory used [KB]: 6396
% 2.93/0.75 % (4059)Time elapsed: 0.351 s
% 2.93/0.75 % (4059)Instructions burned: 101 (million)
% 2.93/0.75 % (4059)------------------------------
% 2.93/0.75 % (4059)------------------------------
% 3.06/0.78 % (4058)Instruction limit reached!
% 3.06/0.78 % (4058)------------------------------
% 3.06/0.78 % (4058)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.78 % (4058)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.78 % (4058)Termination reason: Unknown
% 3.06/0.78 % (4058)Termination phase: Saturation
% 3.06/0.78
% 3.06/0.78 % (4058)Memory used [KB]: 6908
% 3.06/0.78 % (4058)Time elapsed: 0.373 s
% 3.06/0.78 % (4058)Instructions burned: 100 (million)
% 3.06/0.78 % (4058)------------------------------
% 3.06/0.78 % (4058)------------------------------
% 3.06/0.79 TRYING [5]
% 3.06/0.81 % (4062)Instruction limit reached!
% 3.06/0.81 % (4062)------------------------------
% 3.06/0.81 % (4062)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.81 % (4062)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.81 % (4062)Termination reason: Unknown
% 3.06/0.81 % (4062)Termination phase: Saturation
% 3.06/0.81
% 3.06/0.81 % (4062)Memory used [KB]: 1407
% 3.06/0.81 % (4062)Time elapsed: 0.402 s
% 3.06/0.81 % (4062)Instructions burned: 76 (million)
% 3.06/0.81 % (4062)------------------------------
% 3.06/0.81 % (4062)------------------------------
% 3.34/0.83 % (4138)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)
% 3.34/0.83 % (4065)Instruction limit reached!
% 3.34/0.83 % (4065)------------------------------
% 3.34/0.83 % (4065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.83 % (4065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.84 % (4065)Termination reason: Unknown
% 3.34/0.84 % (4065)Termination phase: Saturation
% 3.34/0.84
% 3.34/0.84 % (4065)Memory used [KB]: 6268
% 3.34/0.84 % (4065)Time elapsed: 0.433 s
% 3.34/0.84 % (4065)Instructions burned: 100 (million)
% 3.34/0.84 % (4065)------------------------------
% 3.34/0.84 % (4065)------------------------------
% 3.34/0.84 % (4132)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)
% 3.34/0.86 % (4069)Instruction limit reached!
% 3.34/0.86 % (4069)------------------------------
% 3.34/0.86 % (4069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.86 % (4069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.86 % (4069)Termination reason: Unknown
% 3.34/0.86 % (4069)Termination phase: Saturation
% 3.34/0.86
% 3.34/0.86 % (4069)Memory used [KB]: 7547
% 3.34/0.86 % (4069)Time elapsed: 0.467 s
% 3.34/0.86 % (4069)Instructions burned: 139 (million)
% 3.34/0.86 % (4069)------------------------------
% 3.34/0.86 % (4069)------------------------------
% 3.53/0.86 % (4133)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)
% 3.53/0.87 % (4134)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)
% 3.53/0.87 % (4140)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)
% 3.53/0.88 % (4145)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.53/0.88 % (4063)Instruction limit reached!
% 3.53/0.88 % (4063)------------------------------
% 3.53/0.88 % (4063)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.88 % (4063)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.88 % (4063)Termination reason: Unknown
% 3.53/0.88 % (4063)Termination phase: Saturation
% 3.53/0.88
% 3.53/0.88 % (4063)Memory used [KB]: 6524
% 3.53/0.88 % (4063)Time elapsed: 0.480 s
% 3.53/0.88 % (4063)Instructions burned: 100 (million)
% 3.53/0.88 % (4063)------------------------------
% 3.53/0.88 % (4063)------------------------------
% 3.53/0.88 % (4136)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.53/0.89 % (4135)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/920Mi)
% 3.53/0.89 % (4139)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)
% 3.53/0.89 % (4146)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)
% 3.53/0.90 % (4137)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)
% 3.53/0.91 % (4143)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)
% 3.53/0.92 % (4068)Instruction limit reached!
% 3.53/0.92 % (4068)------------------------------
% 3.53/0.92 % (4068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.92 % (4068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.92 % (4068)Termination reason: Unknown
% 3.53/0.92 % (4068)Termination phase: Saturation
% 3.53/0.92
% 3.53/0.92 % (4068)Memory used [KB]: 6908
% 3.53/0.92 % (4068)Time elapsed: 0.529 s
% 3.53/0.92 % (4068)Instructions burned: 177 (million)
% 3.53/0.92 % (4068)------------------------------
% 3.53/0.92 % (4068)------------------------------
% 3.53/0.92 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 3.53/0.93 % (4141)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)
% 3.53/0.93 % (4070)Instruction limit reached!
% 3.53/0.93 % (4070)------------------------------
% 3.53/0.93 % (4070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.53/0.93 % (4070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.53/0.93 % (4070)Termination reason: Unknown
% 3.53/0.93 % (4070)Termination phase: Saturation
% 3.53/0.93
% 3.53/0.93 % (4070)Memory used [KB]: 2046
% 3.53/0.93 % (4070)Time elapsed: 0.447 s
% 3.53/0.93 % (4070)Instructions burned: 498 (million)
% 3.53/0.93 % (4070)------------------------------
% 3.53/0.93 % (4070)------------------------------
% 3.53/0.93 % (4144)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)
% 3.53/0.94 % (4147)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)
% 3.79/0.94 % (4148)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4756Mi)
% 3.82/0.98 % (4075)Instruction limit reached!
% 3.82/0.98 % (4075)------------------------------
% 3.82/0.98 % (4075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.82/0.98 % (4075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.82/0.98 % (4075)Termination reason: Unknown
% 3.82/0.98 % (4075)Termination phase: Saturation
% 3.82/0.98
% 3.82/0.98 % (4075)Memory used [KB]: 2174
% 3.82/0.98 % (4075)Time elapsed: 0.576 s
% 3.82/0.98 % (4075)Instructions burned: 177 (million)
% 3.82/0.98 % (4075)------------------------------
% 3.82/0.98 % (4075)------------------------------
% 3.82/0.98 % (4155)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 (2994ds/90Mi)
% 3.82/1.00 % (4149)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4931Mi)
% 3.93/1.04 % (4150)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 (2995ds/68Mi)
% 3.93/1.04 % (4155)Instruction limit reached!
% 3.93/1.04 % (4155)------------------------------
% 3.93/1.04 % (4155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.93/1.04 % (4155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.93/1.04 % (4155)Termination reason: Unknown
% 3.93/1.04 % (4155)Termination phase: Saturation
% 3.93/1.04
% 3.93/1.04 % (4155)Memory used [KB]: 7164
% 3.93/1.04 % (4155)Time elapsed: 0.055 s
% 3.93/1.04 % (4155)Instructions burned: 91 (million)
% 3.93/1.04 % (4155)------------------------------
% 3.93/1.04 % (4155)------------------------------
% 3.93/1.05 % (4151)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)
% 5.70/1.09 % (4139)Instruction limit reached!
% 5.70/1.09 % (4139)------------------------------
% 5.70/1.09 % (4139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.70/1.09 % (4139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.70/1.09 % (4139)Termination reason: Unknown
% 5.70/1.09 % (4139)Termination phase: Saturation
% 5.70/1.09
% 5.70/1.09 % (4139)Memory used [KB]: 6268
% 5.70/1.09 % (4139)Time elapsed: 0.051 s
% 5.70/1.09 % (4139)Instructions burned: 68 (million)
% 5.70/1.09 % (4139)------------------------------
% 5.70/1.09 % (4139)------------------------------
% 5.70/1.09 % (4152)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 (2994ds/2134Mi)
% 5.70/1.09 % (4157)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/8004Mi)
% 5.70/1.12 % (4154)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/4585Mi)
% 5.70/1.12 % (4153)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2891Mi)
% 5.70/1.14 % (4143)Instruction limit reached!
% 5.70/1.14 % (4143)------------------------------
% 5.70/1.14 % (4143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.70/1.14 % (4143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.70/1.14 % (4143)Termination reason: Unknown
% 5.70/1.14 % (4143)Termination phase: Saturation
% 5.70/1.14
% 5.70/1.14 % (4143)Memory used [KB]: 6268
% 5.70/1.14 % (4143)Time elapsed: 0.405 s
% 5.70/1.14 % (4143)Instructions burned: 90 (million)
% 5.70/1.14 % (4143)------------------------------
% 5.70/1.14 % (4143)------------------------------
% 5.70/1.14 % (4134)Instruction limit reached!
% 5.70/1.14 % (4134)------------------------------
% 5.70/1.14 % (4134)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.70/1.14 % (4134)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.70/1.14 % (4134)Termination reason: Unknown
% 5.70/1.14 % (4134)Termination phase: Saturation
% 5.70/1.14
% 5.70/1.14 % (4134)Memory used [KB]: 6780
% 5.70/1.14 % (4134)Time elapsed: 0.414 s
% 5.70/1.14 % (4134)Instructions burned: 90 (million)
% 5.70/1.14 % (4134)------------------------------
% 5.70/1.14 % (4134)------------------------------
% 6.65/1.23 % (4150)Instruction limit reached!
% 6.65/1.23 % (4150)------------------------------
% 6.65/1.23 % (4150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.23 % (4150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.23 % (4150)Termination reason: Unknown
% 6.65/1.23 % (4150)Termination phase: Saturation
% 6.65/1.23
% 6.65/1.23 % (4150)Memory used [KB]: 6268
% 6.65/1.23 % (4150)Time elapsed: 0.053 s
% 6.65/1.23 % (4150)Instructions burned: 69 (million)
% 6.65/1.23 % (4150)------------------------------
% 6.65/1.23 % (4150)------------------------------
% 6.65/1.23 TRYING [6]
% 6.65/1.23 % (4077)Instruction limit reached!
% 6.65/1.23 % (4077)------------------------------
% 6.65/1.23 % (4077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.65/1.23 % (4077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.65/1.23 % (4077)Termination reason: Unknown
% 6.65/1.23 % (4077)Termination phase: Saturation
% 6.65/1.23
% 6.65/1.23 % (4077)Memory used [KB]: 10362
% 6.65/1.23 % (4077)Time elapsed: 0.836 s
% 6.65/1.23 % (4077)Instructions burned: 356 (million)
% 6.65/1.23 % (4077)------------------------------
% 6.65/1.23 % (4077)------------------------------
% 6.65/1.24 % (4156)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 (2993ds/2016Mi)
% 7.17/1.27 % (4133)Instruction limit reached!
% 7.17/1.27 % (4133)------------------------------
% 7.17/1.27 % (4133)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.17/1.27 % (4133)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.17/1.27 % (4133)Termination reason: Unknown
% 7.17/1.27 % (4133)Termination phase: Saturation
% 7.17/1.27
% 7.17/1.27 % (4133)Memory used [KB]: 1151
% 7.17/1.27 % (4133)Time elapsed: 0.560 s
% 7.17/1.27 % (4133)Instructions burned: 212 (million)
% 7.17/1.27 % (4133)------------------------------
% 7.17/1.27 % (4133)------------------------------
% 7.54/1.33 % (4159)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=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9965Mi)
% 7.82/1.37 % (4161)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 7.82/1.38 % (4163)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.82/1.39 % (4160)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9877Mi)
% 7.82/1.41 % (4076)Instruction limit reached!
% 7.82/1.41 % (4076)------------------------------
% 7.82/1.41 % (4076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.82/1.41 % (4076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.82/1.41 % (4076)Termination reason: Unknown
% 7.82/1.41 % (4076)Termination phase: Saturation
% 7.82/1.41
% 7.82/1.41 % (4076)Memory used [KB]: 9210
% 7.82/1.41 % (4076)Time elapsed: 1.024 s
% 7.82/1.41 % (4076)Instructions burned: 439 (million)
% 7.82/1.41 % (4076)------------------------------
% 7.82/1.41 % (4076)------------------------------
% 8.42/1.45 % (4162)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 (2991ds/1824Mi)
% 8.67/1.53 % (4164)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 9.11/1.57 % (4151)First to succeed.
% 9.11/1.59 % (4166)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 (2989ds/90Mi)
% 9.11/1.60 % (4151)Refutation found. Thanks to Tanya!
% 9.11/1.60 % SZS status Unsatisfiable for theBenchmark
% 9.11/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 9.11/1.61 % (4151)------------------------------
% 9.11/1.61 % (4151)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.11/1.61 % (4151)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.11/1.61 % (4151)Termination reason: Refutation
% 9.11/1.61
% 9.11/1.61 % (4151)Memory used [KB]: 1663
% 9.11/1.61 % (4151)Time elapsed: 0.684 s
% 9.11/1.61 % (4151)Instructions burned: 261 (million)
% 9.11/1.61 % (4151)------------------------------
% 9.11/1.61 % (4151)------------------------------
% 9.11/1.61 % (4041)Success in time 1.262 s
%------------------------------------------------------------------------------