TSTP Solution File: SYN475-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SYN475-1 : TPTP v8.1.0. Released 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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 19:38:19 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 262
% Syntax : Number of formulae : 614 ( 1 unt; 0 def)
% Number of atoms : 2027 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2419 (1006 ~;1245 |; 0 &)
% ( 168 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 194 ( 193 usr; 190 prp; 0-1 aty)
% Number of functors : 20 ( 20 usr; 20 con; 0-0 aty)
% Number of variables : 193 ( 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2735,plain,
$false,
inference(avatar_sat_refutation,[],[f316,f346,f359,f376,f394,f418,f443,f448,f462,f474,f486,f495,f517,f526,f531,f543,f554,f564,f586,f594,f623,f628,f639,f644,f660,f665,f670,f675,f684,f689,f699,f714,f728,f733,f752,f758,f762,f771,f772,f787,f797,f822,f826,f827,f832,f841,f846,f852,f856,f861,f866,f875,f897,f898,f904,f913,f918,f919,f924,f933,f934,f954,f959,f972,f983,f993,f994,f999,f1009,f1014,f1019,f1030,f1037,f1053,f1060,f1067,f1079,f1085,f1090,f1091,f1093,f1098,f1115,f1127,f1128,f1143,f1144,f1145,f1151,f1157,f1164,f1169,f1181,f1186,f1188,f1193,f1197,f1202,f1207,f1210,f1216,f1227,f1232,f1243,f1244,f1245,f1246,f1253,f1259,f1270,f1275,f1280,f1287,f1288,f1306,f1308,f1314,f1317,f1328,f1344,f1374,f1387,f1402,f1428,f1439,f1450,f1463,f1465,f1503,f1566,f1642,f1644,f1676,f1681,f1710,f1719,f1735,f1759,f1760,f1803,f1853,f1862,f1865,f1904,f1924,f1927,f1928,f1972,f2038,f2095,f2097,f2099,f2140,f2141,f2142,f2178,f2179,f2181,f2184,f2185,f2211,f2214,f2254,f2259,f2344,f2347,f2348,f2349,f2360,f2405,f2452,f2515,f2539,f2571,f2602,f2605,f2711,f2713,f2733,f2734]) ).
fof(f2734,plain,
( spl53_89
| ~ spl53_191
| spl53_22
| ~ spl53_127 ),
inference(avatar_split_clause,[],[f2722,f883,f391,f1240,f696]) ).
fof(f696,plain,
( spl53_89
<=> c0_1(a1052) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_89])]) ).
fof(f1240,plain,
( spl53_191
<=> c3_1(a1052) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_191])]) ).
fof(f391,plain,
( spl53_22
<=> c2_1(a1052) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_22])]) ).
fof(f883,plain,
( spl53_127
<=> ! [X1] :
( c2_1(X1)
| ~ c3_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_127])]) ).
fof(f2722,plain,
( ~ c3_1(a1052)
| c0_1(a1052)
| spl53_22
| ~ spl53_127 ),
inference(resolution,[],[f884,f393]) ).
fof(f393,plain,
( ~ c2_1(a1052)
| spl53_22 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f884,plain,
( ! [X1] :
( c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl53_127 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f2733,plain,
( ~ spl53_11
| spl53_217
| ~ spl53_127
| spl53_157 ),
inference(avatar_split_clause,[],[f2725,f1034,f883,f1699,f343]) ).
fof(f343,plain,
( spl53_11
<=> c3_1(a1023) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_11])]) ).
fof(f1699,plain,
( spl53_217
<=> c0_1(a1023) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_217])]) ).
fof(f1034,plain,
( spl53_157
<=> c2_1(a1023) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_157])]) ).
fof(f2725,plain,
( c0_1(a1023)
| ~ c3_1(a1023)
| ~ spl53_127
| spl53_157 ),
inference(resolution,[],[f884,f1036]) ).
fof(f1036,plain,
( ~ c2_1(a1023)
| spl53_157 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f2713,plain,
( spl53_89
| spl53_216
| spl53_22
| ~ spl53_138 ),
inference(avatar_split_clause,[],[f2703,f936,f391,f1694,f696]) ).
fof(f1694,plain,
( spl53_216
<=> c1_1(a1052) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_216])]) ).
fof(f936,plain,
( spl53_138
<=> ! [X0] :
( c0_1(X0)
| c2_1(X0)
| c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_138])]) ).
fof(f2703,plain,
( c1_1(a1052)
| c0_1(a1052)
| spl53_22
| ~ spl53_138 ),
inference(resolution,[],[f937,f393]) ).
fof(f937,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl53_138 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f2711,plain,
( spl53_217
| spl53_104
| ~ spl53_138
| spl53_157 ),
inference(avatar_split_clause,[],[f2706,f1034,f936,f768,f1699]) ).
fof(f768,plain,
( spl53_104
<=> c1_1(a1023) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_104])]) ).
fof(f2706,plain,
( c1_1(a1023)
| c0_1(a1023)
| ~ spl53_138
| spl53_157 ),
inference(resolution,[],[f937,f1036]) ).
fof(f2605,plain,
( spl53_220
| ~ spl53_116
| ~ spl53_94
| ~ spl53_181 ),
inference(avatar_split_clause,[],[f2522,f1178,f721,f829,f1859]) ).
fof(f1859,plain,
( spl53_220
<=> c1_1(a1029) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_220])]) ).
fof(f829,plain,
( spl53_116
<=> c0_1(a1029) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_116])]) ).
fof(f721,plain,
( spl53_94
<=> ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_94])]) ).
fof(f1178,plain,
( spl53_181
<=> c3_1(a1029) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_181])]) ).
fof(f2522,plain,
( ~ c0_1(a1029)
| c1_1(a1029)
| ~ spl53_94
| ~ spl53_181 ),
inference(resolution,[],[f1180,f722]) ).
fof(f722,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl53_94 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f1180,plain,
( c3_1(a1029)
| ~ spl53_181 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f2602,plain,
( spl53_54
| spl53_225
| ~ spl53_14
| ~ spl53_166 ),
inference(avatar_split_clause,[],[f2598,f1087,f357,f2402,f528]) ).
fof(f528,plain,
( spl53_54
<=> c1_1(a1001) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_54])]) ).
fof(f2402,plain,
( spl53_225
<=> c0_1(a1001) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_225])]) ).
fof(f357,plain,
( spl53_14
<=> ! [X2] :
( c0_1(X2)
| ~ c2_1(X2)
| c1_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_14])]) ).
fof(f1087,plain,
( spl53_166
<=> c2_1(a1001) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_166])]) ).
fof(f2598,plain,
( c0_1(a1001)
| c1_1(a1001)
| ~ spl53_14
| ~ spl53_166 ),
inference(resolution,[],[f358,f1089]) ).
fof(f1089,plain,
( c2_1(a1001)
| ~ spl53_166 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f358,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| c1_1(X2) )
| ~ spl53_14 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f2571,plain,
( ~ spl53_224
| ~ spl53_149
| ~ spl53_103
| ~ spl53_118 ),
inference(avatar_split_clause,[],[f2568,f838,f764,f990,f2256]) ).
fof(f2256,plain,
( spl53_224
<=> c1_1(a1000) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_224])]) ).
fof(f990,plain,
( spl53_149
<=> c0_1(a1000) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_149])]) ).
fof(f764,plain,
( spl53_103
<=> ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_103])]) ).
fof(f838,plain,
( spl53_118
<=> c2_1(a1000) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_118])]) ).
fof(f2568,plain,
( ~ c0_1(a1000)
| ~ c1_1(a1000)
| ~ spl53_103
| ~ spl53_118 ),
inference(resolution,[],[f765,f840]) ).
fof(f840,plain,
( c2_1(a1000)
| ~ spl53_118 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f765,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl53_103 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f2539,plain,
( ~ spl53_101
| spl53_225
| ~ spl53_65
| ~ spl53_166 ),
inference(avatar_split_clause,[],[f2535,f1087,f578,f2402,f755]) ).
fof(f755,plain,
( spl53_101
<=> c3_1(a1001) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_101])]) ).
fof(f578,plain,
( spl53_65
<=> ! [X1] :
( ~ c3_1(X1)
| c0_1(X1)
| ~ c2_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_65])]) ).
fof(f2535,plain,
( c0_1(a1001)
| ~ c3_1(a1001)
| ~ spl53_65
| ~ spl53_166 ),
inference(resolution,[],[f579,f1089]) ).
fof(f579,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c3_1(X1) )
| ~ spl53_65 ),
inference(avatar_component_clause,[],[f578]) ).
fof(f2515,plain,
( ~ spl53_209
| spl53_152
| spl53_34
| ~ spl53_102 ),
inference(avatar_split_clause,[],[f2504,f760,f440,f1006,f1399]) ).
fof(f1399,plain,
( spl53_209
<=> c1_1(a1025) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_209])]) ).
fof(f1006,plain,
( spl53_152
<=> c3_1(a1025) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_152])]) ).
fof(f440,plain,
( spl53_34
<=> c2_1(a1025) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_34])]) ).
fof(f760,plain,
( spl53_102
<=> ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_102])]) ).
fof(f2504,plain,
( c3_1(a1025)
| ~ c1_1(a1025)
| spl53_34
| ~ spl53_102 ),
inference(resolution,[],[f761,f442]) ).
fof(f442,plain,
( ~ c2_1(a1025)
| spl53_34 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f761,plain,
( ! [X1] :
( c2_1(X1)
| c3_1(X1)
| ~ c1_1(X1) )
| ~ spl53_102 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f2452,plain,
( spl53_35
| ~ spl53_150
| ~ spl53_86
| ~ spl53_201 ),
inference(avatar_split_clause,[],[f2445,f1303,f681,f996,f445]) ).
fof(f445,plain,
( spl53_35
<=> c0_1(a1019) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_35])]) ).
fof(f996,plain,
( spl53_150
<=> c1_1(a1019) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_150])]) ).
fof(f681,plain,
( spl53_86
<=> ! [X1] :
( c0_1(X1)
| ~ c2_1(X1)
| ~ c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_86])]) ).
fof(f1303,plain,
( spl53_201
<=> c2_1(a1019) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_201])]) ).
fof(f2445,plain,
( ~ c1_1(a1019)
| c0_1(a1019)
| ~ spl53_86
| ~ spl53_201 ),
inference(resolution,[],[f682,f1305]) ).
fof(f1305,plain,
( c2_1(a1019)
| ~ spl53_201 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f682,plain,
( ! [X1] :
( ~ c2_1(X1)
| c0_1(X1)
| ~ c1_1(X1) )
| ~ spl53_86 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f2405,plain,
( spl53_54
| ~ spl53_225
| ~ spl53_63
| ~ spl53_166 ),
inference(avatar_split_clause,[],[f2399,f1087,f570,f2402,f528]) ).
fof(f570,plain,
( spl53_63
<=> ! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_63])]) ).
fof(f2399,plain,
( ~ c0_1(a1001)
| c1_1(a1001)
| ~ spl53_63
| ~ spl53_166 ),
inference(resolution,[],[f571,f1089]) ).
fof(f571,plain,
( ! [X1] :
( ~ c2_1(X1)
| ~ c0_1(X1)
| c1_1(X1) )
| ~ spl53_63 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2360,plain,
( ~ spl53_149
| spl53_195
| ~ spl53_27
| ~ spl53_118 ),
inference(avatar_split_clause,[],[f2358,f838,f412,f1267,f990]) ).
fof(f1267,plain,
( spl53_195
<=> c3_1(a1000) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_195])]) ).
fof(f412,plain,
( spl53_27
<=> ! [X1] :
( ~ c0_1(X1)
| ~ c2_1(X1)
| c3_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_27])]) ).
fof(f2358,plain,
( c3_1(a1000)
| ~ c0_1(a1000)
| ~ spl53_27
| ~ spl53_118 ),
inference(resolution,[],[f413,f840]) ).
fof(f413,plain,
( ! [X1] :
( ~ c2_1(X1)
| c3_1(X1)
| ~ c0_1(X1) )
| ~ spl53_27 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f2349,plain,
( spl53_208
| spl53_99
| ~ spl53_14
| ~ spl53_135 ),
inference(avatar_split_clause,[],[f2265,f921,f357,f745,f1371]) ).
fof(f1371,plain,
( spl53_208
<=> c0_1(a1008) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_208])]) ).
fof(f745,plain,
( spl53_99
<=> c1_1(a1008) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_99])]) ).
fof(f921,plain,
( spl53_135
<=> c2_1(a1008) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_135])]) ).
fof(f2265,plain,
( c1_1(a1008)
| c0_1(a1008)
| ~ spl53_14
| ~ spl53_135 ),
inference(resolution,[],[f358,f923]) ).
fof(f923,plain,
( c2_1(a1008)
| ~ spl53_135 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f2348,plain,
( ~ spl53_202
| spl53_219
| ~ spl53_18
| spl53_82 ),
inference(avatar_split_clause,[],[f2273,f662,f374,f1800,f1311]) ).
fof(f1311,plain,
( spl53_202
<=> c0_1(a1043) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_202])]) ).
fof(f1800,plain,
( spl53_219
<=> c3_1(a1043) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_219])]) ).
fof(f374,plain,
( spl53_18
<=> ! [X0] :
( c3_1(X0)
| c2_1(X0)
| ~ c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_18])]) ).
fof(f662,plain,
( spl53_82
<=> c2_1(a1043) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_82])]) ).
fof(f2273,plain,
( c3_1(a1043)
| ~ c0_1(a1043)
| ~ spl53_18
| spl53_82 ),
inference(resolution,[],[f375,f664]) ).
fof(f664,plain,
( ~ c2_1(a1043)
| spl53_82 ),
inference(avatar_component_clause,[],[f662]) ).
fof(f375,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
| ~ spl53_18 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f2347,plain,
( spl53_44
| ~ spl53_71
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f2342,f854,f605,f484]) ).
fof(f484,plain,
( spl53_44
<=> ! [X1] :
( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_44])]) ).
fof(f605,plain,
( spl53_71
<=> ! [X1] :
( c3_1(X1)
| c2_1(X1)
| c1_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_71])]) ).
fof(f854,plain,
( spl53_121
<=> ! [X0] :
( c0_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_121])]) ).
fof(f2342,plain,
( ! [X1] :
( c1_1(X1)
| c3_1(X1)
| c0_1(X1) )
| ~ spl53_71
| ~ spl53_121 ),
inference(duplicate_literal_removal,[],[f2327]) ).
fof(f2327,plain,
( ! [X1] :
( c0_1(X1)
| c3_1(X1)
| c3_1(X1)
| c1_1(X1) )
| ~ spl53_71
| ~ spl53_121 ),
inference(resolution,[],[f606,f855]) ).
fof(f855,plain,
( ! [X0] :
( ~ c2_1(X0)
| c3_1(X0)
| c0_1(X0) )
| ~ spl53_121 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f606,plain,
( ! [X1] :
( c2_1(X1)
| c1_1(X1)
| c3_1(X1) )
| ~ spl53_71 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f2344,plain,
( spl53_44
| ~ spl53_14
| ~ spl53_71 ),
inference(avatar_split_clause,[],[f2343,f605,f357,f484]) ).
fof(f2343,plain,
( ! [X0] :
( c1_1(X0)
| c0_1(X0)
| c3_1(X0) )
| ~ spl53_14
| ~ spl53_71 ),
inference(duplicate_literal_removal,[],[f2326]) ).
fof(f2326,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| c0_1(X0)
| c1_1(X0) )
| ~ spl53_14
| ~ spl53_71 ),
inference(resolution,[],[f606,f358]) ).
fof(f2259,plain,
( spl53_224
| ~ spl53_149
| ~ spl53_63
| ~ spl53_118 ),
inference(avatar_split_clause,[],[f2252,f838,f570,f990,f2256]) ).
fof(f2252,plain,
( ~ c0_1(a1000)
| c1_1(a1000)
| ~ spl53_63
| ~ spl53_118 ),
inference(resolution,[],[f571,f840]) ).
fof(f2254,plain,
( spl53_99
| ~ spl53_208
| ~ spl53_63
| ~ spl53_135 ),
inference(avatar_split_clause,[],[f2249,f921,f570,f1371,f745]) ).
fof(f2249,plain,
( ~ c0_1(a1008)
| c1_1(a1008)
| ~ spl53_63
| ~ spl53_135 ),
inference(resolution,[],[f571,f923]) ).
fof(f2214,plain,
( spl53_198
| spl53_75
| ~ spl53_14
| ~ spl53_46 ),
inference(avatar_split_clause,[],[f2212,f492,f357,f625,f1284]) ).
fof(f1284,plain,
( spl53_198
<=> c0_1(a1026) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_198])]) ).
fof(f625,plain,
( spl53_75
<=> c1_1(a1026) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_75])]) ).
fof(f492,plain,
( spl53_46
<=> c2_1(a1026) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_46])]) ).
fof(f2212,plain,
( c1_1(a1026)
| c0_1(a1026)
| ~ spl53_14
| ~ spl53_46 ),
inference(resolution,[],[f494,f358]) ).
fof(f494,plain,
( c2_1(a1026)
| ~ spl53_46 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f2211,plain,
( spl53_211
| spl53_170
| ~ spl53_121
| ~ spl53_123 ),
inference(avatar_split_clause,[],[f2210,f863,f854,f1112,f1447]) ).
fof(f1447,plain,
( spl53_211
<=> c0_1(a1004) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_211])]) ).
fof(f1112,plain,
( spl53_170
<=> c3_1(a1004) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_170])]) ).
fof(f863,plain,
( spl53_123
<=> c2_1(a1004) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_123])]) ).
fof(f2210,plain,
( c3_1(a1004)
| c0_1(a1004)
| ~ spl53_121
| ~ spl53_123 ),
inference(resolution,[],[f865,f855]) ).
fof(f865,plain,
( c2_1(a1004)
| ~ spl53_123 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f2185,plain,
( spl53_35
| ~ spl53_150
| ~ spl53_23
| ~ spl53_214 ),
inference(avatar_split_clause,[],[f1988,f1500,f396,f996,f445]) ).
fof(f396,plain,
( spl53_23
<=> ! [X0] :
( c0_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_23])]) ).
fof(f1500,plain,
( spl53_214
<=> c3_1(a1019) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_214])]) ).
fof(f1988,plain,
( ~ c1_1(a1019)
| c0_1(a1019)
| ~ spl53_23
| ~ spl53_214 ),
inference(resolution,[],[f397,f1501]) ).
fof(f1501,plain,
( c3_1(a1019)
| ~ spl53_214 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f397,plain,
( ! [X0] :
( ~ c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_23 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f2184,plain,
( spl53_8
| ~ spl53_102
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f2094,f854,f760,f331]) ).
fof(f331,plain,
( spl53_8
<=> ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| c0_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_8])]) ).
fof(f2094,plain,
( ! [X1] :
( c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl53_102
| ~ spl53_121 ),
inference(duplicate_literal_removal,[],[f2078]) ).
fof(f2078,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| ~ c1_1(X1)
| c3_1(X1) )
| ~ spl53_102
| ~ spl53_121 ),
inference(resolution,[],[f855,f761]) ).
fof(f2181,plain,
( spl53_161
| spl53_218
| ~ spl53_14
| ~ spl53_59 ),
inference(avatar_split_clause,[],[f2159,f551,f357,f1707,f1057]) ).
fof(f1057,plain,
( spl53_161
<=> c0_1(a1032) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_161])]) ).
fof(f1707,plain,
( spl53_218
<=> c1_1(a1032) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_218])]) ).
fof(f551,plain,
( spl53_59
<=> c2_1(a1032) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_59])]) ).
fof(f2159,plain,
( c1_1(a1032)
| c0_1(a1032)
| ~ spl53_14
| ~ spl53_59 ),
inference(resolution,[],[f358,f553]) ).
fof(f553,plain,
( c2_1(a1032)
| ~ spl53_59 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f2179,plain,
( ~ spl53_84
| ~ spl53_183
| ~ spl53_117
| spl53_122 ),
inference(avatar_split_clause,[],[f2067,f858,f834,f1190,f672]) ).
fof(f672,plain,
( spl53_84
<=> c1_1(a1044) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_84])]) ).
fof(f1190,plain,
( spl53_183
<=> c0_1(a1044) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_183])]) ).
fof(f834,plain,
( spl53_117
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_117])]) ).
fof(f858,plain,
( spl53_122
<=> c3_1(a1044) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_122])]) ).
fof(f2067,plain,
( ~ c0_1(a1044)
| ~ c1_1(a1044)
| ~ spl53_117
| spl53_122 ),
inference(resolution,[],[f835,f860]) ).
fof(f860,plain,
( ~ c3_1(a1044)
| spl53_122 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f835,plain,
( ! [X0] :
( c3_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X0) )
| ~ spl53_117 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f2178,plain,
( spl53_78
| ~ spl53_8
| ~ spl53_23
| ~ spl53_156 ),
inference(avatar_split_clause,[],[f2172,f1027,f396,f331,f641]) ).
fof(f641,plain,
( spl53_78
<=> c0_1(a1045) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_78])]) ).
fof(f1027,plain,
( spl53_156
<=> c1_1(a1045) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_156])]) ).
fof(f2172,plain,
( c0_1(a1045)
| ~ spl53_8
| ~ spl53_23
| ~ spl53_156 ),
inference(resolution,[],[f1994,f1029]) ).
fof(f1029,plain,
( c1_1(a1045)
| ~ spl53_156 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1994,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0) )
| ~ spl53_8
| ~ spl53_23 ),
inference(duplicate_literal_removal,[],[f1980]) ).
fof(f1980,plain,
( ! [X0] :
( ~ c1_1(X0)
| c0_1(X0)
| ~ c1_1(X0)
| c0_1(X0) )
| ~ spl53_8
| ~ spl53_23 ),
inference(resolution,[],[f397,f332]) ).
fof(f332,plain,
( ! [X0] :
( c3_1(X0)
| c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_8 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f2142,plain,
( ~ spl53_74
| ~ spl53_141
| ~ spl53_129
| spl53_186 ),
inference(avatar_split_clause,[],[f2136,f1213,f891,f951,f620]) ).
fof(f620,plain,
( spl53_74
<=> c3_1(a1006) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_74])]) ).
fof(f951,plain,
( spl53_141
<=> c0_1(a1006) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_141])]) ).
fof(f891,plain,
( spl53_129
<=> ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_129])]) ).
fof(f1213,plain,
( spl53_186
<=> c2_1(a1006) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_186])]) ).
fof(f2136,plain,
( ~ c0_1(a1006)
| ~ c3_1(a1006)
| ~ spl53_129
| spl53_186 ),
inference(resolution,[],[f892,f1215]) ).
fof(f1215,plain,
( ~ c2_1(a1006)
| spl53_186 ),
inference(avatar_component_clause,[],[f1213]) ).
fof(f892,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
| ~ spl53_129 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f2141,plain,
( ~ spl53_202
| ~ spl53_219
| spl53_82
| ~ spl53_129 ),
inference(avatar_split_clause,[],[f2130,f891,f662,f1800,f1311]) ).
fof(f2130,plain,
( ~ c3_1(a1043)
| ~ c0_1(a1043)
| spl53_82
| ~ spl53_129 ),
inference(resolution,[],[f892,f664]) ).
fof(f2140,plain,
( ~ spl53_11
| ~ spl53_217
| ~ spl53_129
| spl53_157 ),
inference(avatar_split_clause,[],[f2134,f1034,f891,f1699,f343]) ).
fof(f2134,plain,
( ~ c0_1(a1023)
| ~ c3_1(a1023)
| ~ spl53_129
| spl53_157 ),
inference(resolution,[],[f892,f1036]) ).
fof(f2099,plain,
( spl53_99
| ~ spl53_208
| ~ spl53_67
| spl53_204 ),
inference(avatar_split_clause,[],[f1545,f1325,f588,f1371,f745]) ).
fof(f588,plain,
( spl53_67
<=> ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_67])]) ).
fof(f1325,plain,
( spl53_204
<=> c3_1(a1008) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_204])]) ).
fof(f1545,plain,
( ~ c0_1(a1008)
| c1_1(a1008)
| ~ spl53_67
| spl53_204 ),
inference(resolution,[],[f589,f1327]) ).
fof(f1327,plain,
( ~ c3_1(a1008)
| spl53_204 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f589,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c1_1(X0) )
| ~ spl53_67 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f2097,plain,
( spl53_109
| spl53_167
| ~ spl53_53
| ~ spl53_121 ),
inference(avatar_split_clause,[],[f2082,f854,f523,f1095,f794]) ).
fof(f794,plain,
( spl53_109
<=> c0_1(a1041) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_109])]) ).
fof(f1095,plain,
( spl53_167
<=> c3_1(a1041) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_167])]) ).
fof(f523,plain,
( spl53_53
<=> c2_1(a1041) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_53])]) ).
fof(f2082,plain,
( c3_1(a1041)
| c0_1(a1041)
| ~ spl53_53
| ~ spl53_121 ),
inference(resolution,[],[f855,f525]) ).
fof(f525,plain,
( c2_1(a1041)
| ~ spl53_53 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f2095,plain,
( spl53_208
| spl53_204
| ~ spl53_121
| ~ spl53_135 ),
inference(avatar_split_clause,[],[f2088,f921,f854,f1325,f1371]) ).
fof(f2088,plain,
( c3_1(a1008)
| c0_1(a1008)
| ~ spl53_121
| ~ spl53_135 ),
inference(resolution,[],[f855,f923]) ).
fof(f2038,plain,
( ~ spl53_181
| ~ spl53_116
| ~ spl53_115
| ~ spl53_197 ),
inference(avatar_split_clause,[],[f2021,f1277,f824,f829,f1178]) ).
fof(f824,plain,
( spl53_115
<=> ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_115])]) ).
fof(f1277,plain,
( spl53_197
<=> c2_1(a1029) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_197])]) ).
fof(f2021,plain,
( ~ c0_1(a1029)
| ~ c3_1(a1029)
| ~ spl53_115
| ~ spl53_197 ),
inference(resolution,[],[f825,f1279]) ).
fof(f1279,plain,
( c2_1(a1029)
| ~ spl53_197 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f825,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
| ~ spl53_115 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1972,plain,
( spl53_23
| ~ spl53_40
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1969,f578,f468,f396]) ).
fof(f468,plain,
( spl53_40
<=> ! [X1] :
( ~ c1_1(X1)
| c2_1(X1)
| c0_1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_40])]) ).
fof(f1969,plain,
( ! [X2] :
( ~ c1_1(X2)
| c0_1(X2)
| ~ c3_1(X2) )
| ~ spl53_40
| ~ spl53_65 ),
inference(duplicate_literal_removal,[],[f1955]) ).
fof(f1955,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2)
| c0_1(X2) )
| ~ spl53_40
| ~ spl53_65 ),
inference(resolution,[],[f579,f469]) ).
fof(f469,plain,
( ! [X1] :
( c2_1(X1)
| ~ c1_1(X1)
| c0_1(X1) )
| ~ spl53_40 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f1928,plain,
( spl53_99
| spl53_208
| ~ spl53_44
| spl53_204 ),
inference(avatar_split_clause,[],[f1919,f1325,f484,f1371,f745]) ).
fof(f1919,plain,
( c0_1(a1008)
| c1_1(a1008)
| ~ spl53_44
| spl53_204 ),
inference(resolution,[],[f485,f1327]) ).
fof(f485,plain,
( ! [X1] :
( c3_1(X1)
| c0_1(X1)
| c1_1(X1) )
| ~ spl53_44 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f1927,plain,
( spl53_210
| spl53_109
| ~ spl53_44
| spl53_167 ),
inference(avatar_split_clause,[],[f1914,f1095,f484,f794,f1436]) ).
fof(f1436,plain,
( spl53_210
<=> c1_1(a1041) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_210])]) ).
fof(f1914,plain,
( c0_1(a1041)
| c1_1(a1041)
| ~ spl53_44
| spl53_167 ),
inference(resolution,[],[f485,f1097]) ).
fof(f1097,plain,
( ~ c3_1(a1041)
| spl53_167 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1924,plain,
( spl53_196
| spl53_4
| ~ spl53_44
| spl53_119 ),
inference(avatar_split_clause,[],[f1920,f843,f484,f313,f1272]) ).
fof(f1272,plain,
( spl53_196
<=> c1_1(a1037) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_196])]) ).
fof(f313,plain,
( spl53_4
<=> c0_1(a1037) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f843,plain,
( spl53_119
<=> c3_1(a1037) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_119])]) ).
fof(f1920,plain,
( c0_1(a1037)
| c1_1(a1037)
| ~ spl53_44
| spl53_119 ),
inference(resolution,[],[f485,f845]) ).
fof(f845,plain,
( ~ c3_1(a1037)
| spl53_119 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f1904,plain,
( spl53_176
| ~ spl53_182
| ~ spl53_63
| ~ spl53_193 ),
inference(avatar_split_clause,[],[f1903,f1256,f570,f1183,f1148]) ).
fof(f1148,plain,
( spl53_176
<=> c1_1(a1002) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_176])]) ).
fof(f1183,plain,
( spl53_182
<=> c0_1(a1002) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_182])]) ).
fof(f1256,plain,
( spl53_193
<=> c2_1(a1002) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_193])]) ).
fof(f1903,plain,
( ~ c0_1(a1002)
| c1_1(a1002)
| ~ spl53_63
| ~ spl53_193 ),
inference(resolution,[],[f1258,f571]) ).
fof(f1258,plain,
( c2_1(a1002)
| ~ spl53_193 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1865,plain,
( ~ spl53_150
| ~ spl53_214
| ~ spl53_30
| ~ spl53_201 ),
inference(avatar_split_clause,[],[f1843,f1303,f424,f1500,f996]) ).
fof(f424,plain,
( spl53_30
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| ~ c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_30])]) ).
fof(f1843,plain,
( ~ c3_1(a1019)
| ~ c1_1(a1019)
| ~ spl53_30
| ~ spl53_201 ),
inference(resolution,[],[f425,f1305]) ).
fof(f425,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X0) )
| ~ spl53_30 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f1862,plain,
( ~ spl53_181
| ~ spl53_220
| ~ spl53_30
| ~ spl53_197 ),
inference(avatar_split_clause,[],[f1836,f1277,f424,f1859,f1178]) ).
fof(f1836,plain,
( ~ c1_1(a1029)
| ~ c3_1(a1029)
| ~ spl53_30
| ~ spl53_197 ),
inference(resolution,[],[f425,f1279]) ).
fof(f1853,plain,
( ~ spl53_184
| ~ spl53_218
| ~ spl53_30
| ~ spl53_59 ),
inference(avatar_split_clause,[],[f1839,f551,f424,f1707,f1199]) ).
fof(f1199,plain,
( spl53_184
<=> c3_1(a1032) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_184])]) ).
fof(f1839,plain,
( ~ c1_1(a1032)
| ~ c3_1(a1032)
| ~ spl53_30
| ~ spl53_59 ),
inference(resolution,[],[f425,f553]) ).
fof(f1803,plain,
( spl53_189
| spl53_219
| ~ spl53_71
| spl53_82 ),
inference(avatar_split_clause,[],[f1797,f662,f605,f1800,f1229]) ).
fof(f1229,plain,
( spl53_189
<=> c1_1(a1043) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_189])]) ).
fof(f1797,plain,
( c3_1(a1043)
| c1_1(a1043)
| ~ spl53_71
| spl53_82 ),
inference(resolution,[],[f664,f606]) ).
fof(f1760,plain,
( spl53_35
| ~ spl53_150
| ~ spl53_8
| spl53_214 ),
inference(avatar_split_clause,[],[f1750,f1500,f331,f996,f445]) ).
fof(f1750,plain,
( ~ c1_1(a1019)
| c0_1(a1019)
| ~ spl53_8
| spl53_214 ),
inference(resolution,[],[f332,f1502]) ).
fof(f1502,plain,
( ~ c3_1(a1019)
| spl53_214 ),
inference(avatar_component_clause,[],[f1500]) ).
fof(f1759,plain,
( spl53_211
| ~ spl53_192
| ~ spl53_8
| spl53_170 ),
inference(avatar_split_clause,[],[f1754,f1112,f331,f1250,f1447]) ).
fof(f1250,plain,
( spl53_192
<=> c1_1(a1004) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_192])]) ).
fof(f1754,plain,
( ~ c1_1(a1004)
| c0_1(a1004)
| ~ spl53_8
| spl53_170 ),
inference(resolution,[],[f332,f1114]) ).
fof(f1114,plain,
( ~ c3_1(a1004)
| spl53_170 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1735,plain,
( ~ spl53_218
| spl53_161
| ~ spl53_23
| ~ spl53_184 ),
inference(avatar_split_clause,[],[f1729,f1199,f396,f1057,f1707]) ).
fof(f1729,plain,
( c0_1(a1032)
| ~ c1_1(a1032)
| ~ spl53_23
| ~ spl53_184 ),
inference(resolution,[],[f397,f1201]) ).
fof(f1201,plain,
( c3_1(a1032)
| ~ spl53_184 ),
inference(avatar_component_clause,[],[f1199]) ).
fof(f1719,plain,
( ~ spl53_216
| spl53_89
| spl53_22
| ~ spl53_40 ),
inference(avatar_split_clause,[],[f1520,f468,f391,f696,f1694]) ).
fof(f1520,plain,
( c0_1(a1052)
| ~ c1_1(a1052)
| spl53_22
| ~ spl53_40 ),
inference(resolution,[],[f469,f393]) ).
fof(f1710,plain,
( spl53_218
| spl53_161
| ~ spl53_32
| ~ spl53_184 ),
inference(avatar_split_clause,[],[f1687,f1199,f432,f1057,f1707]) ).
fof(f432,plain,
( spl53_32
<=> ! [X2] :
( ~ c3_1(X2)
| c0_1(X2)
| c1_1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_32])]) ).
fof(f1687,plain,
( c0_1(a1032)
| c1_1(a1032)
| ~ spl53_32
| ~ spl53_184 ),
inference(resolution,[],[f433,f1201]) ).
fof(f433,plain,
( ! [X2] :
( ~ c3_1(X2)
| c1_1(X2)
| c0_1(X2) )
| ~ spl53_32 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f1681,plain,
( spl53_161
| ~ spl53_184
| ~ spl53_59
| ~ spl53_65 ),
inference(avatar_split_clause,[],[f1678,f578,f551,f1199,f1057]) ).
fof(f1678,plain,
( ~ c3_1(a1032)
| c0_1(a1032)
| ~ spl53_59
| ~ spl53_65 ),
inference(resolution,[],[f553,f579]) ).
fof(f1676,plain,
( ~ spl53_211
| ~ spl53_192
| ~ spl53_103
| ~ spl53_123 ),
inference(avatar_split_clause,[],[f1668,f863,f764,f1250,f1447]) ).
fof(f1668,plain,
( ~ c1_1(a1004)
| ~ c0_1(a1004)
| ~ spl53_103
| ~ spl53_123 ),
inference(resolution,[],[f765,f865]) ).
fof(f1644,plain,
( ~ spl53_141
| ~ spl53_207
| ~ spl53_49
| spl53_186 ),
inference(avatar_split_clause,[],[f1392,f1213,f506,f1364,f951]) ).
fof(f1364,plain,
( spl53_207
<=> c1_1(a1006) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_207])]) ).
fof(f506,plain,
( spl53_49
<=> ! [X0] :
( ~ c0_1(X0)
| c2_1(X0)
| ~ c1_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_49])]) ).
fof(f1392,plain,
( ~ c1_1(a1006)
| ~ c0_1(a1006)
| ~ spl53_49
| spl53_186 ),
inference(resolution,[],[f507,f1215]) ).
fof(f507,plain,
( ! [X0] :
( c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0) )
| ~ spl53_49 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f1642,plain,
( spl53_207
| ~ spl53_141
| ~ spl53_74
| ~ spl53_94 ),
inference(avatar_split_clause,[],[f1639,f721,f620,f951,f1364]) ).
fof(f1639,plain,
( ~ c0_1(a1006)
| c1_1(a1006)
| ~ spl53_74
| ~ spl53_94 ),
inference(resolution,[],[f722,f622]) ).
fof(f622,plain,
( c3_1(a1006)
| ~ spl53_74 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f1566,plain,
( spl53_211
| ~ spl53_192
| ~ spl53_86
| ~ spl53_123 ),
inference(avatar_split_clause,[],[f1560,f863,f681,f1250,f1447]) ).
fof(f1560,plain,
( ~ c1_1(a1004)
| c0_1(a1004)
| ~ spl53_86
| ~ spl53_123 ),
inference(resolution,[],[f682,f865]) ).
fof(f1503,plain,
( ~ spl53_214
| spl53_35
| ~ spl53_65
| ~ spl53_201 ),
inference(avatar_split_clause,[],[f1495,f1303,f578,f445,f1500]) ).
fof(f1495,plain,
( c0_1(a1019)
| ~ c3_1(a1019)
| ~ spl53_65
| ~ spl53_201 ),
inference(resolution,[],[f1305,f579]) ).
fof(f1465,plain,
( spl53_177
| spl53_38
| ~ spl53_71
| spl53_107 ),
inference(avatar_split_clause,[],[f1460,f784,f605,f459,f1154]) ).
fof(f1154,plain,
( spl53_177
<=> c3_1(a1005) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_177])]) ).
fof(f459,plain,
( spl53_38
<=> c1_1(a1005) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_38])]) ).
fof(f784,plain,
( spl53_107
<=> c2_1(a1005) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_107])]) ).
fof(f1460,plain,
( c1_1(a1005)
| c3_1(a1005)
| ~ spl53_71
| spl53_107 ),
inference(resolution,[],[f606,f786]) ).
fof(f786,plain,
( ~ c2_1(a1005)
| spl53_107 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f1463,plain,
( spl53_209
| spl53_152
| spl53_34
| ~ spl53_71 ),
inference(avatar_split_clause,[],[f1455,f605,f440,f1006,f1399]) ).
fof(f1455,plain,
( c3_1(a1025)
| c1_1(a1025)
| spl53_34
| ~ spl53_71 ),
inference(resolution,[],[f606,f442]) ).
fof(f1450,plain,
( spl53_170
| ~ spl53_211
| ~ spl53_27
| ~ spl53_123 ),
inference(avatar_split_clause,[],[f1444,f863,f412,f1447,f1112]) ).
fof(f1444,plain,
( ~ c0_1(a1004)
| c3_1(a1004)
| ~ spl53_27
| ~ spl53_123 ),
inference(resolution,[],[f865,f413]) ).
fof(f1439,plain,
( spl53_167
| ~ spl53_210
| ~ spl53_53
| ~ spl53_57 ),
inference(avatar_split_clause,[],[f1432,f541,f523,f1436,f1095]) ).
fof(f541,plain,
( spl53_57
<=> ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c3_1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_57])]) ).
fof(f1432,plain,
( ~ c1_1(a1041)
| c3_1(a1041)
| ~ spl53_53
| ~ spl53_57 ),
inference(resolution,[],[f525,f542]) ).
fof(f542,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c1_1(X0)
| c3_1(X0) )
| ~ spl53_57 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f1428,plain,
( ~ spl53_83
| spl53_209
| ~ spl53_67
| spl53_152 ),
inference(avatar_split_clause,[],[f1421,f1006,f588,f1399,f667]) ).
fof(f667,plain,
( spl53_83
<=> c0_1(a1025) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_83])]) ).
fof(f1421,plain,
( c1_1(a1025)
| ~ c0_1(a1025)
| ~ spl53_67
| spl53_152 ),
inference(resolution,[],[f589,f1008]) ).
fof(f1008,plain,
( ~ c3_1(a1025)
| spl53_152 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1402,plain,
( ~ spl53_209
| ~ spl53_83
| spl53_34
| ~ spl53_49 ),
inference(avatar_split_clause,[],[f1390,f506,f440,f667,f1399]) ).
fof(f1390,plain,
( ~ c0_1(a1025)
| ~ c1_1(a1025)
| spl53_34
| ~ spl53_49 ),
inference(resolution,[],[f507,f442]) ).
fof(f1387,plain,
( ~ spl53_142
| spl53_134
| ~ spl53_40
| spl53_160 ),
inference(avatar_split_clause,[],[f1383,f1050,f468,f915,f956]) ).
fof(f956,plain,
( spl53_142
<=> c1_1(a1003) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_142])]) ).
fof(f915,plain,
( spl53_134
<=> c0_1(a1003) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_134])]) ).
fof(f1050,plain,
( spl53_160
<=> c2_1(a1003) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_160])]) ).
fof(f1383,plain,
( c0_1(a1003)
| ~ c1_1(a1003)
| ~ spl53_40
| spl53_160 ),
inference(resolution,[],[f469,f1052]) ).
fof(f1052,plain,
( ~ c2_1(a1003)
| spl53_160 ),
inference(avatar_component_clause,[],[f1050]) ).
fof(f1374,plain,
( spl53_204
| ~ spl53_208
| ~ spl53_27
| ~ spl53_135 ),
inference(avatar_split_clause,[],[f1368,f921,f412,f1371,f1325]) ).
fof(f1368,plain,
( ~ c0_1(a1008)
| c3_1(a1008)
| ~ spl53_27
| ~ spl53_135 ),
inference(resolution,[],[f413,f923]) ).
fof(f1344,plain,
( spl53_152
| ~ spl53_83
| ~ spl53_18
| spl53_34 ),
inference(avatar_split_clause,[],[f1334,f440,f374,f667,f1006]) ).
fof(f1334,plain,
( ~ c0_1(a1025)
| c3_1(a1025)
| ~ spl53_18
| spl53_34 ),
inference(resolution,[],[f375,f442]) ).
fof(f1328,plain,
( ~ spl53_204
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f119,f749,f1325]) ).
fof(f749,plain,
( spl53_100
<=> hskp7 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_100])]) ).
fof(f119,axiom,
( ~ hskp7
| ~ c3_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f1317,plain,
( spl53_6
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f23,f749,f322]) ).
fof(f322,plain,
( spl53_6
<=> ndr1_0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f23,axiom,
( ~ hskp7
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f1314,plain,
( ~ spl53_25
| spl53_202 ),
inference(avatar_split_clause,[],[f55,f1311,f403]) ).
fof(f403,plain,
( spl53_25
<=> hskp22 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_25])]) ).
fof(f55,axiom,
( c0_1(a1043)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f1308,plain,
( spl53_103
| spl53_185 ),
inference(avatar_split_clause,[],[f293,f1204,f764]) ).
fof(f1204,plain,
( spl53_185
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_185])]) ).
fof(f293,plain,
! [X0] :
( sP50
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f293_D]) ).
fof(f293_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
<=> ~ sP50 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP50])]) ).
fof(f1306,plain,
( ~ spl53_9
| spl53_201 ),
inference(avatar_split_clause,[],[f66,f1303,f334]) ).
fof(f334,plain,
( spl53_9
<=> hskp12 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_9])]) ).
fof(f66,axiom,
( c2_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f1288,plain,
( spl53_153
| spl53_121 ),
inference(avatar_split_clause,[],[f261,f854,f1011]) ).
fof(f1011,plain,
( spl53_153
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_153])]) ).
fof(f261,plain,
! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| sP34
| c3_1(X2) ),
inference(cnf_transformation,[],[f261_D]) ).
fof(f261_D,plain,
( ! [X2] :
( ~ c2_1(X2)
| c0_1(X2)
| c3_1(X2) )
<=> ~ sP34 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP34])]) ).
fof(f1287,plain,
( ~ spl53_198
| ~ spl53_45 ),
inference(avatar_split_clause,[],[f105,f488,f1284]) ).
fof(f488,plain,
( spl53_45
<=> hskp15 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_45])]) ).
fof(f105,axiom,
( ~ hskp15
| ~ c0_1(a1026) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f1280,plain,
( ~ spl53_61
| spl53_197 ),
inference(avatar_split_clause,[],[f47,f1277,f561]) ).
fof(f561,plain,
( spl53_61
<=> hskp27 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_61])]) ).
fof(f47,axiom,
( c2_1(a1029)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f1275,plain,
( ~ spl53_196
| ~ spl53_3 ),
inference(avatar_split_clause,[],[f99,f309,f1272]) ).
fof(f309,plain,
( spl53_3
<=> hskp19 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f99,axiom,
( ~ hskp19
| ~ c1_1(a1037) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f1270,plain,
( ~ spl53_195
| ~ spl53_39 ),
inference(avatar_split_clause,[],[f129,f464,f1267]) ).
fof(f464,plain,
( spl53_39
<=> hskp0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_39])]) ).
fof(f129,axiom,
( ~ hskp0
| ~ c3_1(a1000) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f1259,plain,
( spl53_193
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f80,f476,f1256]) ).
fof(f476,plain,
( spl53_42
<=> hskp2 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_42])]) ).
fof(f80,axiom,
( ~ hskp2
| c2_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f1253,plain,
( ~ spl53_56
| spl53_192 ),
inference(avatar_split_clause,[],[f76,f1250,f537]) ).
fof(f537,plain,
( spl53_56
<=> hskp4 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_56])]) ).
fof(f76,axiom,
( c1_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).
fof(f1246,plain,
( ~ spl53_179
| spl53_8
| ~ spl53_6
| spl53_7 ),
inference(avatar_split_clause,[],[f200,f327,f322,f331,f1166]) ).
fof(f1166,plain,
( spl53_179
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_179])]) ).
fof(f327,plain,
( spl53_7
<=> hskp6 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_7])]) ).
fof(f200,plain,
! [X1] :
( hskp6
| ~ ndr1_0
| c0_1(X1)
| ~ sP3
| ~ c1_1(X1)
| c3_1(X1) ),
inference(general_splitting,[],[f175,f199_D]) ).
fof(f199,plain,
! [X0] :
( ~ c3_1(X0)
| sP3
| ~ c0_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f199_D]) ).
fof(f199_D,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c0_1(X0)
| ~ c2_1(X0) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f175,axiom,
! [X0,X1] :
( c3_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ ndr1_0
| hskp6
| ~ c1_1(X1)
| c0_1(X1)
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1245,plain,
( spl53_136
| spl53_23 ),
inference(avatar_split_clause,[],[f201,f396,f926]) ).
fof(f926,plain,
( spl53_136
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_136])]) ).
fof(f201,plain,
! [X2] :
( c0_1(X2)
| sP4
| ~ c1_1(X2)
| ~ c3_1(X2) ),
inference(cnf_transformation,[],[f201_D]) ).
fof(f201_D,plain,
( ! [X2] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c3_1(X2) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1244,plain,
( spl53_25
| spl53_33
| spl53_9 ),
inference(avatar_split_clause,[],[f37,f334,f436,f403]) ).
fof(f436,plain,
( spl53_33
<=> hskp14 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_33])]) ).
fof(f37,axiom,
( hskp12
| hskp14
| hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f1243,plain,
( ~ spl53_21
| spl53_191 ),
inference(avatar_split_clause,[],[f49,f1240,f387]) ).
fof(f387,plain,
( spl53_21
<=> hskp26 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_21])]) ).
fof(f49,axiom,
( c3_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f1232,plain,
( ~ spl53_25
| ~ spl53_189 ),
inference(avatar_split_clause,[],[f91,f1229,f403]) ).
fof(f91,axiom,
( ~ c1_1(a1043)
| ~ hskp22 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f1227,plain,
( ~ spl53_68
| ~ spl53_6
| spl53_10
| spl53_71 ),
inference(avatar_split_clause,[],[f224,f605,f339,f322,f591]) ).
fof(f591,plain,
( spl53_68
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_68])]) ).
fof(f339,plain,
( spl53_10
<=> hskp13 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_10])]) ).
fof(f224,plain,
! [X1] :
( c2_1(X1)
| hskp13
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| ~ sP15 ),
inference(general_splitting,[],[f152,f223_D]) ).
fof(f223,plain,
! [X0] :
( sP15
| c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f223_D]) ).
fof(f223_D,plain,
( ! [X0] :
( c1_1(X0)
| c3_1(X0)
| ~ c0_1(X0) )
<=> ~ sP15 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP15])]) ).
fof(f152,axiom,
! [X0,X1] :
( c2_1(X1)
| ~ c0_1(X0)
| hskp13
| c1_1(X1)
| ~ ndr1_0
| c3_1(X0)
| c1_1(X0)
| c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1216,plain,
( ~ spl53_186
| ~ spl53_7 ),
inference(avatar_split_clause,[],[f120,f327,f1213]) ).
fof(f120,axiom,
( ~ hskp6
| ~ c2_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f1210,plain,
( ~ spl53_6
| spl53_71
| ~ spl53_145
| spl53_61 ),
inference(avatar_split_clause,[],[f248,f561,f969,f605,f322]) ).
fof(f969,plain,
( spl53_145
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_145])]) ).
fof(f248,plain,
! [X1] :
( hskp27
| ~ sP27
| c1_1(X1)
| c2_1(X1)
| c3_1(X1)
| ~ ndr1_0 ),
inference(general_splitting,[],[f160,f247_D]) ).
fof(f247,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0)
| sP27 ),
inference(cnf_transformation,[],[f247_D]) ).
fof(f247_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c2_1(X0)
| c1_1(X0) )
<=> ~ sP27 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP27])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ c0_1(X0)
| hskp27
| c2_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ c2_1(X0)
| ~ ndr1_0
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1207,plain,
( spl53_37
| ~ spl53_6
| ~ spl53_185
| spl53_32 ),
inference(avatar_split_clause,[],[f294,f432,f1204,f322,f455]) ).
fof(f455,plain,
( spl53_37
<=> hskp5 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_37])]) ).
fof(f294,plain,
! [X1] :
( c0_1(X1)
| ~ sP50
| ~ ndr1_0
| c1_1(X1)
| ~ c3_1(X1)
| hskp5 ),
inference(general_splitting,[],[f174,f293_D]) ).
fof(f174,axiom,
! [X0,X1] :
( hskp5
| ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0)
| ~ c3_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1202,plain,
( ~ spl53_28
| spl53_184 ),
inference(avatar_split_clause,[],[f60,f1199,f415]) ).
fof(f415,plain,
( spl53_28
<=> hskp17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_28])]) ).
fof(f60,axiom,
( c3_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f1197,plain,
( spl53_100
| spl53_56
| spl53_52 ),
inference(avatar_split_clause,[],[f38,f519,f537,f749]) ).
fof(f519,plain,
( spl53_52
<=> hskp21 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_52])]) ).
fof(f38,axiom,
( hskp21
| hskp4
| hskp7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f1193,plain,
( spl53_183
| ~ spl53_55 ),
inference(avatar_split_clause,[],[f53,f533,f1190]) ).
fof(f533,plain,
( spl53_55
<=> hskp23 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_55])]) ).
fof(f53,axiom,
( ~ hskp23
| c0_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f1188,plain,
( spl53_21
| spl53_100
| spl53_61 ),
inference(avatar_split_clause,[],[f36,f561,f749,f387]) ).
fof(f36,axiom,
( hskp27
| hskp7
| hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f1186,plain,
( spl53_182
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f79,f476,f1183]) ).
fof(f79,axiom,
( ~ hskp2
| c0_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).
fof(f1181,plain,
( ~ spl53_61
| spl53_181 ),
inference(avatar_split_clause,[],[f48,f1178,f561]) ).
fof(f48,axiom,
( c3_1(a1029)
| ~ hskp27 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f1169,plain,
( spl53_179
| spl53_115 ),
inference(avatar_split_clause,[],[f199,f824,f1166]) ).
fof(f1164,plain,
( spl53_33
| spl53_86
| ~ spl53_130
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f226,f322,f894,f681,f436]) ).
fof(f894,plain,
( spl53_130
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_130])]) ).
fof(f226,plain,
! [X1] :
( ~ ndr1_0
| ~ sP16
| c0_1(X1)
| ~ c1_1(X1)
| hskp14
| ~ c2_1(X1) ),
inference(general_splitting,[],[f177,f225_D]) ).
fof(f225,plain,
! [X0] :
( sP16
| c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f225_D]) ).
fof(f225_D,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
<=> ~ sP16 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP16])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ndr1_0
| ~ c3_1(X0)
| c0_1(X1)
| hskp14
| ~ c0_1(X0)
| ~ c2_1(X1)
| c2_1(X0)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f1157,plain,
( ~ spl53_177
| ~ spl53_37 ),
inference(avatar_split_clause,[],[f123,f455,f1154]) ).
fof(f123,axiom,
( ~ hskp5
| ~ c3_1(a1005) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1151,plain,
( ~ spl53_176
| ~ spl53_42 ),
inference(avatar_split_clause,[],[f127,f476,f1148]) ).
fof(f127,axiom,
( ~ hskp2
| ~ c1_1(a1002) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f1145,plain,
( spl53_27
| spl53_125 ),
inference(avatar_split_clause,[],[f213,f872,f412]) ).
fof(f872,plain,
( spl53_125
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_125])]) ).
fof(f213,plain,
! [X0] :
( sP10
| c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f213_D]) ).
fof(f213_D,plain,
( ! [X0] :
( c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP10 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1144,plain,
( ~ spl53_6
| spl53_117
| spl53_3
| spl53_56 ),
inference(avatar_split_clause,[],[f145,f537,f309,f834,f322]) ).
fof(f145,axiom,
! [X0] :
( hskp4
| hskp19
| ~ c0_1(X0)
| ~ c1_1(X0)
| c3_1(X0)
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).
fof(f1143,plain,
( spl53_43
| spl53_71 ),
inference(avatar_split_clause,[],[f265,f605,f480]) ).
fof(f480,plain,
( spl53_43
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_43])]) ).
fof(f265,plain,
! [X0] :
( c3_1(X0)
| sP36
| c1_1(X0)
| c2_1(X0) ),
inference(cnf_transformation,[],[f265_D]) ).
fof(f265_D,plain,
( ! [X0] :
( c3_1(X0)
| c1_1(X0)
| c2_1(X0) )
<=> ~ sP36 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP36])]) ).
fof(f1128,plain,
( ~ spl53_6
| ~ spl53_154
| spl53_40
| spl53_56 ),
inference(avatar_split_clause,[],[f228,f537,f468,f1016,f322]) ).
fof(f1016,plain,
( spl53_154
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_154])]) ).
fof(f228,plain,
! [X1] :
( hskp4
| c0_1(X1)
| ~ sP17
| ~ c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ),
inference(general_splitting,[],[f157,f227_D]) ).
fof(f227,plain,
! [X0] :
( sP17
| ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) ),
inference(cnf_transformation,[],[f227_D]) ).
fof(f227_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| c3_1(X0)
| c1_1(X0) )
<=> ~ sP17 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP17])]) ).
fof(f157,axiom,
! [X0,X1] :
( c1_1(X0)
| ~ ndr1_0
| c2_1(X1)
| hskp4
| c0_1(X1)
| ~ c0_1(X0)
| c3_1(X0)
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1127,plain,
( spl53_127
| spl53_132 ),
inference(avatar_split_clause,[],[f233,f906,f883]) ).
fof(f906,plain,
( spl53_132
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_132])]) ).
fof(f233,plain,
! [X0] :
( sP20
| c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f233_D]) ).
fof(f233_D,plain,
( ! [X0] :
( c2_1(X0)
| c0_1(X0)
| ~ c3_1(X0) )
<=> ~ sP20 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP20])]) ).
fof(f1115,plain,
( ~ spl53_170
| ~ spl53_56 ),
inference(avatar_split_clause,[],[f124,f537,f1112]) ).
fof(f124,axiom,
( ~ hskp4
| ~ c3_1(a1004) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f1098,plain,
( ~ spl53_167
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f94,f519,f1095]) ).
fof(f94,axiom,
( ~ hskp21
| ~ c3_1(a1041) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f1093,plain,
( spl53_86
| spl53_41 ),
inference(avatar_split_clause,[],[f207,f471,f681]) ).
fof(f471,plain,
( spl53_41
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_41])]) ).
fof(f207,plain,
! [X0] :
( sP7
| ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) ),
inference(cnf_transformation,[],[f207_D]) ).
fof(f207_D,plain,
( ! [X0] :
( ~ c1_1(X0)
| ~ c2_1(X0)
| c0_1(X0) )
<=> ~ sP7 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1091,plain,
( spl53_49
| spl53_114 ),
inference(avatar_split_clause,[],[f257,f819,f506]) ).
fof(f819,plain,
( spl53_114
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_114])]) ).
fof(f257,plain,
! [X0] :
( sP32
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
inference(cnf_transformation,[],[f257_D]) ).
fof(f257_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) )
<=> ~ sP32 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP32])]) ).
fof(f1090,plain,
( spl53_166
| ~ spl53_36 ),
inference(avatar_split_clause,[],[f81,f450,f1087]) ).
fof(f450,plain,
( spl53_36
<=> hskp1 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_36])]) ).
fof(f81,axiom,
( ~ hskp1
| c2_1(a1001) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).
fof(f1085,plain,
( spl53_81
| spl53_129 ),
inference(avatar_split_clause,[],[f277,f891,f657]) ).
fof(f657,plain,
( spl53_81
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_81])]) ).
fof(f277,plain,
! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0)
| sP42 ),
inference(cnf_transformation,[],[f277_D]) ).
fof(f277_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c3_1(X0)
| c2_1(X0) )
<=> ~ sP42 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP42])]) ).
fof(f1079,plain,
( spl53_103
| spl53_26 ),
inference(avatar_split_clause,[],[f193,f408,f764]) ).
fof(f408,plain,
( spl53_26
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_26])]) ).
fof(f193,plain,
! [X0] :
( sP0
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) ),
inference(cnf_transformation,[],[f193_D]) ).
fof(f193_D,plain,
( ! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1067,plain,
( spl53_133
| spl53_138 ),
inference(avatar_split_clause,[],[f231,f936,f910]) ).
fof(f910,plain,
( spl53_133
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_133])]) ).
fof(f231,plain,
! [X2] :
( c0_1(X2)
| c2_1(X2)
| sP19
| c1_1(X2) ),
inference(cnf_transformation,[],[f231_D]) ).
fof(f231_D,plain,
( ! [X2] :
( c0_1(X2)
| c2_1(X2)
| c1_1(X2) )
<=> ~ sP19 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP19])]) ).
fof(f1060,plain,
( ~ spl53_28
| ~ spl53_161 ),
inference(avatar_split_clause,[],[f102,f1057,f415]) ).
fof(f102,axiom,
( ~ c0_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f1053,plain,
( ~ spl53_50
| ~ spl53_160 ),
inference(avatar_split_clause,[],[f126,f1050,f510]) ).
fof(f510,plain,
( spl53_50
<=> hskp3 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_50])]) ).
fof(f126,axiom,
( ~ c2_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f1037,plain,
( ~ spl53_157
| ~ spl53_10 ),
inference(avatar_split_clause,[],[f110,f339,f1034]) ).
fof(f110,axiom,
( ~ hskp13
| ~ c2_1(a1023) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f1030,plain,
( ~ spl53_47
| spl53_156 ),
inference(avatar_split_clause,[],[f51,f1027,f497]) ).
fof(f497,plain,
( spl53_47
<=> hskp24 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_47])]) ).
fof(f51,axiom,
( c1_1(a1045)
| ~ hskp24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f1019,plain,
( spl53_67
| spl53_154 ),
inference(avatar_split_clause,[],[f227,f1016,f588]) ).
fof(f1014,plain,
( ~ spl53_6
| ~ spl53_153
| ~ spl53_17
| spl53_63 ),
inference(avatar_split_clause,[],[f264,f570,f370,f1011,f322]) ).
fof(f370,plain,
( spl53_17
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_17])]) ).
fof(f264,plain,
! [X1] :
( ~ c2_1(X1)
| ~ sP35
| c1_1(X1)
| ~ sP34
| ~ ndr1_0
| ~ c0_1(X1) ),
inference(general_splitting,[],[f262,f263_D]) ).
fof(f263,plain,
! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| sP35
| c2_1(X0) ),
inference(cnf_transformation,[],[f263_D]) ).
fof(f263_D,plain,
( ! [X0] :
( c3_1(X0)
| ~ c0_1(X0)
| c2_1(X0) )
<=> ~ sP35 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP35])]) ).
fof(f262,plain,
! [X0,X1] :
( c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X1)
| ~ c0_1(X0)
| ~ sP34 ),
inference(general_splitting,[],[f186,f261_D]) ).
fof(f186,axiom,
! [X2,X0,X1] :
( c1_1(X1)
| c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| ~ c0_1(X1)
| c0_1(X2)
| ~ c2_1(X1)
| ~ c2_1(X2)
| c3_1(X2)
| ~ c0_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause186) ).
fof(f1009,plain,
( ~ spl53_152
| ~ spl53_33 ),
inference(avatar_split_clause,[],[f108,f436,f1006]) ).
fof(f108,axiom,
( ~ hskp14
| ~ c3_1(a1025) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f999,plain,
( ~ spl53_9
| spl53_150 ),
inference(avatar_split_clause,[],[f65,f996,f334]) ).
fof(f65,axiom,
( c1_1(a1019)
| ~ hskp12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f994,plain,
( spl53_87
| spl53_129 ),
inference(avatar_split_clause,[],[f219,f891,f686]) ).
fof(f686,plain,
( spl53_87
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_87])]) ).
fof(f219,plain,
! [X0] :
( c2_1(X0)
| sP13
| ~ c3_1(X0)
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f219_D]) ).
fof(f219_D,plain,
( ! [X0] :
( c2_1(X0)
| ~ c3_1(X0)
| ~ c0_1(X0) )
<=> ~ sP13 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP13])]) ).
fof(f993,plain,
( spl53_149
| ~ spl53_39 ),
inference(avatar_split_clause,[],[f83,f464,f990]) ).
fof(f83,axiom,
( ~ hskp0
| c0_1(a1000) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).
fof(f983,plain,
( spl53_137
| spl53_30 ),
inference(avatar_split_clause,[],[f203,f424,f930]) ).
fof(f930,plain,
( spl53_137
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_137])]) ).
fof(f203,plain,
! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| sP5
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f203_D]) ).
fof(f203_D,plain,
( ! [X0] :
( ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) )
<=> ~ sP5 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).
fof(f972,plain,
( spl53_145
| spl53_63 ),
inference(avatar_split_clause,[],[f247,f570,f969]) ).
fof(f959,plain,
( ~ spl53_50
| spl53_142 ),
inference(avatar_split_clause,[],[f78,f956,f510]) ).
fof(f78,axiom,
( c1_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).
fof(f954,plain,
( spl53_141
| ~ spl53_7 ),
inference(avatar_split_clause,[],[f74,f327,f951]) ).
fof(f74,axiom,
( ~ hskp6
| c0_1(a1006) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f934,plain,
( spl53_96
| spl53_63 ),
inference(avatar_split_clause,[],[f259,f570,f730]) ).
fof(f730,plain,
( spl53_96
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_96])]) ).
fof(f259,plain,
! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| sP33
| ~ c0_1(X0) ),
inference(cnf_transformation,[],[f259_D]) ).
fof(f259_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0) )
<=> ~ sP33 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP33])]) ).
fof(f933,plain,
( ~ spl53_6
| ~ spl53_136
| ~ spl53_137
| spl53_65 ),
inference(avatar_split_clause,[],[f204,f578,f930,f926,f322]) ).
fof(f204,plain,
! [X1] :
( ~ c2_1(X1)
| ~ c3_1(X1)
| ~ sP5
| ~ sP4
| ~ ndr1_0
| c0_1(X1) ),
inference(general_splitting,[],[f202,f203_D]) ).
fof(f202,plain,
! [X0,X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ sP4 ),
inference(general_splitting,[],[f191,f201_D]) ).
fof(f191,axiom,
! [X2,X0,X1] :
( c0_1(X1)
| ~ c3_1(X1)
| ~ c2_1(X0)
| ~ c2_1(X1)
| ~ c1_1(X0)
| ~ c1_1(X2)
| ~ ndr1_0
| ~ c3_1(X0)
| ~ c3_1(X2)
| c0_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause191) ).
fof(f924,plain,
( spl53_135
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f73,f749,f921]) ).
fof(f73,axiom,
( ~ hskp7
| c2_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f919,plain,
( spl53_124
| spl53_8 ),
inference(avatar_split_clause,[],[f211,f331,f868]) ).
fof(f868,plain,
( spl53_124
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_124])]) ).
fof(f211,plain,
! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| sP9
| c0_1(X2) ),
inference(cnf_transformation,[],[f211_D]) ).
fof(f211_D,plain,
( ! [X2] :
( c3_1(X2)
| ~ c1_1(X2)
| c0_1(X2) )
<=> ~ sP9 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP9])]) ).
fof(f918,plain,
( ~ spl53_50
| ~ spl53_134 ),
inference(avatar_split_clause,[],[f125,f915,f510]) ).
fof(f125,axiom,
( ~ c0_1(a1003)
| ~ hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f913,plain,
( ~ spl53_6
| ~ spl53_132
| ~ spl53_133
| spl53_14 ),
inference(avatar_split_clause,[],[f234,f357,f910,f906,f322]) ).
fof(f234,plain,
! [X1] :
( c1_1(X1)
| ~ c2_1(X1)
| c0_1(X1)
| ~ sP19
| ~ sP20
| ~ ndr1_0 ),
inference(general_splitting,[],[f232,f233_D]) ).
fof(f232,plain,
! [X0,X1] :
( c0_1(X0)
| ~ c3_1(X0)
| c0_1(X1)
| c1_1(X1)
| ~ ndr1_0
| c2_1(X0)
| ~ c2_1(X1)
| ~ sP19 ),
inference(general_splitting,[],[f183,f231_D]) ).
fof(f183,axiom,
! [X2,X0,X1] :
( c0_1(X2)
| c0_1(X0)
| ~ c3_1(X0)
| c0_1(X1)
| c1_1(X2)
| c1_1(X1)
| ~ ndr1_0
| c2_1(X2)
| c2_1(X0)
| ~ c2_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f904,plain,
( spl53_3
| spl53_21
| ~ spl53_6
| spl53_115 ),
inference(avatar_split_clause,[],[f150,f824,f322,f387,f309]) ).
fof(f150,axiom,
! [X0] :
( ~ c0_1(X0)
| ~ ndr1_0
| ~ c3_1(X0)
| hskp26
| ~ c2_1(X0)
| hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f898,plain,
( ~ spl53_6
| spl53_100
| spl53_103 ),
inference(avatar_split_clause,[],[f147,f764,f749,f322]) ).
fof(f147,axiom,
! [X0] :
( ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c2_1(X0)
| hskp7
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f897,plain,
( spl53_129
| spl53_130 ),
inference(avatar_split_clause,[],[f225,f894,f891]) ).
fof(f875,plain,
( ~ spl53_6
| ~ spl53_124
| ~ spl53_125
| spl53_94 ),
inference(avatar_split_clause,[],[f214,f721,f872,f868,f322]) ).
fof(f214,plain,
! [X1] :
( ~ c3_1(X1)
| ~ sP10
| c1_1(X1)
| ~ sP9
| ~ c0_1(X1)
| ~ ndr1_0 ),
inference(general_splitting,[],[f212,f213_D]) ).
fof(f212,plain,
! [X0,X1] :
( ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| c1_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c0_1(X1)
| ~ sP9 ),
inference(general_splitting,[],[f189,f211_D]) ).
fof(f189,axiom,
! [X2,X0,X1] :
( c0_1(X2)
| ~ c1_1(X2)
| ~ c0_1(X0)
| ~ c3_1(X1)
| ~ c2_1(X0)
| c3_1(X2)
| c1_1(X1)
| ~ ndr1_0
| c3_1(X0)
| ~ c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause189) ).
fof(f866,plain,
( ~ spl53_56
| spl53_123 ),
inference(avatar_split_clause,[],[f77,f863,f537]) ).
fof(f77,axiom,
( c2_1(a1004)
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f861,plain,
( ~ spl53_122
| ~ spl53_55 ),
inference(avatar_split_clause,[],[f90,f533,f858]) ).
fof(f90,axiom,
( ~ hskp23
| ~ c3_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f856,plain,
( ~ spl53_6
| spl53_42
| spl53_36
| spl53_121 ),
inference(avatar_split_clause,[],[f134,f854,f450,f476,f322]) ).
fof(f134,axiom,
! [X0] :
( c0_1(X0)
| c3_1(X0)
| ~ c2_1(X0)
| hskp1
| hskp2
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f852,plain,
( spl53_23
| ~ spl53_6
| ~ spl53_95
| spl53_45 ),
inference(avatar_split_clause,[],[f296,f488,f725,f322,f396]) ).
fof(f725,plain,
( spl53_95
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_95])]) ).
fof(f296,plain,
! [X1] :
( hskp15
| ~ sP51
| ~ ndr1_0
| ~ c3_1(X1)
| ~ c1_1(X1)
| c0_1(X1) ),
inference(general_splitting,[],[f178,f295_D]) ).
fof(f295,plain,
! [X0] :
( sP51
| c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) ),
inference(cnf_transformation,[],[f295_D]) ).
fof(f295_D,plain,
( ! [X0] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ c3_1(X0) )
<=> ~ sP51 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP51])]) ).
fof(f178,axiom,
! [X0,X1] :
( c1_1(X0)
| ~ c0_1(X0)
| ~ ndr1_0
| c0_1(X1)
| ~ c3_1(X1)
| ~ c3_1(X0)
| hskp15
| ~ c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f846,plain,
( ~ spl53_3
| ~ spl53_119 ),
inference(avatar_split_clause,[],[f100,f843,f309]) ).
fof(f100,axiom,
( ~ c3_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f841,plain,
( ~ spl53_39
| spl53_118 ),
inference(avatar_split_clause,[],[f84,f838,f464]) ).
fof(f84,axiom,
( c2_1(a1000)
| ~ hskp0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f832,plain,
( spl53_116
| ~ spl53_61 ),
inference(avatar_split_clause,[],[f46,f561,f829]) ).
fof(f46,axiom,
( ~ hskp27
| c0_1(a1029) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f827,plain,
( spl53_102
| spl53_51 ),
inference(avatar_split_clause,[],[f279,f514,f760]) ).
fof(f514,plain,
( spl53_51
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_51])]) ).
fof(f279,plain,
! [X0] :
( sP43
| c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) ),
inference(cnf_transformation,[],[f279_D]) ).
fof(f279_D,plain,
( ! [X0] :
( c2_1(X0)
| c3_1(X0)
| ~ c1_1(X0) )
<=> ~ sP43 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP43])]) ).
fof(f826,plain,
( spl53_50
| spl53_115
| spl53_47
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f149,f322,f497,f824,f510]) ).
fof(f149,axiom,
! [X0] :
( ~ ndr1_0
| hskp24
| ~ c3_1(X0)
| ~ c2_1(X0)
| ~ c0_1(X0)
| hskp3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f822,plain,
( ~ spl53_114
| ~ spl53_6
| ~ spl53_13
| spl53_63 ),
inference(avatar_split_clause,[],[f258,f570,f353,f322,f819]) ).
fof(f353,plain,
( spl53_13
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_13])]) ).
fof(f258,plain,
! [X1] :
( ~ c0_1(X1)
| ~ sP31
| ~ ndr1_0
| ~ c2_1(X1)
| ~ sP32
| c1_1(X1) ),
inference(general_splitting,[],[f256,f257_D]) ).
fof(f256,plain,
! [X0,X1] :
( ~ c2_1(X1)
| ~ ndr1_0
| ~ c0_1(X1)
| c1_1(X1)
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0)
| ~ sP31 ),
inference(general_splitting,[],[f187,f255_D]) ).
fof(f255,plain,
! [X2] :
( c0_1(X2)
| c1_1(X2)
| sP31
| ~ c2_1(X2) ),
inference(cnf_transformation,[],[f255_D]) ).
fof(f255_D,plain,
( ! [X2] :
( c0_1(X2)
| c1_1(X2)
| ~ c2_1(X2) )
<=> ~ sP31 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP31])]) ).
fof(f187,axiom,
! [X2,X0,X1] :
( c1_1(X2)
| ~ c2_1(X1)
| ~ ndr1_0
| ~ c2_1(X2)
| ~ c0_1(X1)
| c1_1(X1)
| c0_1(X2)
| ~ c0_1(X0)
| ~ c1_1(X0)
| c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause187) ).
fof(f797,plain,
( ~ spl53_109
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f93,f519,f794]) ).
fof(f93,axiom,
( ~ hskp21
| ~ c0_1(a1041) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f787,plain,
( ~ spl53_37
| ~ spl53_107 ),
inference(avatar_split_clause,[],[f122,f784,f455]) ).
fof(f122,axiom,
( ~ c2_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f772,plain,
( spl53_45
| ~ spl53_6
| spl53_94
| spl53_47 ),
inference(avatar_split_clause,[],[f140,f497,f721,f322,f488]) ).
fof(f140,axiom,
! [X0] :
( hskp24
| c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| hskp15
| ~ c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f771,plain,
( ~ spl53_10
| ~ spl53_104 ),
inference(avatar_split_clause,[],[f109,f768,f339]) ).
fof(f109,axiom,
( ~ c1_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f762,plain,
( ~ spl53_77
| spl53_102
| spl53_45
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f252,f322,f488,f760,f636]) ).
fof(f636,plain,
( spl53_77
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_77])]) ).
fof(f252,plain,
! [X1] :
( ~ ndr1_0
| hskp15
| c2_1(X1)
| c3_1(X1)
| ~ sP29
| ~ c1_1(X1) ),
inference(general_splitting,[],[f173,f251_D]) ).
fof(f251,plain,
! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0)
| sP29 ),
inference(cnf_transformation,[],[f251_D]) ).
fof(f251_D,plain,
( ! [X0] :
( ~ c2_1(X0)
| ~ c0_1(X0)
| c3_1(X0) )
<=> ~ sP29 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP29])]) ).
fof(f173,axiom,
! [X0,X1] :
( ~ ndr1_0
| ~ c2_1(X0)
| c3_1(X1)
| c2_1(X1)
| ~ c0_1(X0)
| hskp15
| ~ c1_1(X1)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f758,plain,
( ~ spl53_36
| spl53_101 ),
inference(avatar_split_clause,[],[f82,f755,f450]) ).
fof(f82,axiom,
( c3_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f752,plain,
( ~ spl53_99
| ~ spl53_100 ),
inference(avatar_split_clause,[],[f118,f749,f745]) ).
fof(f118,axiom,
( ~ hskp7
| ~ c1_1(a1008) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f733,plain,
( spl53_3
| ~ spl53_6
| spl53_67
| ~ spl53_96 ),
inference(avatar_split_clause,[],[f260,f730,f588,f322,f309]) ).
fof(f260,plain,
! [X1] :
( ~ sP33
| ~ c0_1(X1)
| c3_1(X1)
| c1_1(X1)
| ~ ndr1_0
| hskp19 ),
inference(general_splitting,[],[f170,f259_D]) ).
fof(f170,axiom,
! [X0,X1] :
( c1_1(X1)
| hskp19
| ~ ndr1_0
| c3_1(X1)
| ~ c0_1(X0)
| ~ c0_1(X1)
| ~ c2_1(X0)
| c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f728,plain,
( spl53_94
| spl53_95 ),
inference(avatar_split_clause,[],[f295,f725,f721]) ).
fof(f714,plain,
( spl53_6
| ~ spl53_52 ),
inference(avatar_split_clause,[],[f9,f519,f322]) ).
fof(f9,axiom,
( ~ hskp21
| ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f699,plain,
( ~ spl53_89
| ~ spl53_21 ),
inference(avatar_split_clause,[],[f85,f387,f696]) ).
fof(f85,axiom,
( ~ hskp26
| ~ c0_1(a1052) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f689,plain,
( ~ spl53_6
| ~ spl53_87
| spl53_9
| spl53_71 ),
inference(avatar_split_clause,[],[f220,f605,f334,f686,f322]) ).
fof(f220,plain,
! [X1] :
( c3_1(X1)
| hskp12
| ~ sP13
| c1_1(X1)
| ~ ndr1_0
| c2_1(X1) ),
inference(general_splitting,[],[f161,f219_D]) ).
fof(f161,axiom,
! [X0,X1] :
( c3_1(X1)
| ~ c0_1(X0)
| ~ c3_1(X0)
| ~ ndr1_0
| c2_1(X0)
| hskp12
| c2_1(X1)
| c1_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f684,plain,
( ~ spl53_56
| spl53_6 ),
inference(avatar_split_clause,[],[f26,f322,f537]) ).
fof(f26,axiom,
( ndr1_0
| ~ hskp4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f675,plain,
( spl53_84
| ~ spl53_55 ),
inference(avatar_split_clause,[],[f54,f533,f672]) ).
fof(f54,axiom,
( ~ hskp23
| c1_1(a1044) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f670,plain,
( ~ spl53_33
| spl53_83 ),
inference(avatar_split_clause,[],[f63,f667,f436]) ).
fof(f63,axiom,
( c0_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f665,plain,
( ~ spl53_82
| ~ spl53_25 ),
inference(avatar_split_clause,[],[f92,f403,f662]) ).
fof(f92,axiom,
( ~ hskp22
| ~ c2_1(a1043) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f660,plain,
( ~ spl53_81
| spl53_56
| spl53_14
| ~ spl53_6 ),
inference(avatar_split_clause,[],[f278,f322,f357,f537,f657]) ).
fof(f278,plain,
! [X1] :
( ~ ndr1_0
| c0_1(X1)
| c1_1(X1)
| hskp4
| ~ c2_1(X1)
| ~ sP42 ),
inference(general_splitting,[],[f164,f277_D]) ).
fof(f164,axiom,
! [X0,X1] :
( ~ ndr1_0
| ~ c0_1(X0)
| hskp4
| c2_1(X0)
| ~ c3_1(X0)
| ~ c2_1(X1)
| c1_1(X1)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f644,plain,
( ~ spl53_78
| ~ spl53_47 ),
inference(avatar_split_clause,[],[f89,f497,f641]) ).
fof(f89,axiom,
( ~ hskp24
| ~ c0_1(a1045) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f639,plain,
( spl53_77
| spl53_27 ),
inference(avatar_split_clause,[],[f251,f412,f636]) ).
fof(f628,plain,
( ~ spl53_45
| ~ spl53_75 ),
inference(avatar_split_clause,[],[f106,f625,f488]) ).
fof(f106,axiom,
( ~ c1_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f623,plain,
( ~ spl53_7
| spl53_74 ),
inference(avatar_split_clause,[],[f75,f620,f327]) ).
fof(f75,axiom,
( c3_1(a1006)
| ~ hskp6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f594,plain,
( spl53_67
| spl53_68 ),
inference(avatar_split_clause,[],[f223,f591,f588]) ).
fof(f586,plain,
( spl53_10
| ~ spl53_6
| spl53_7
| spl53_49 ),
inference(avatar_split_clause,[],[f142,f506,f327,f322,f339]) ).
fof(f142,axiom,
! [X0] :
( c2_1(X0)
| hskp6
| ~ c1_1(X0)
| ~ ndr1_0
| ~ c0_1(X0)
| hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f564,plain,
( spl53_33
| spl53_7
| spl53_61 ),
inference(avatar_split_clause,[],[f35,f561,f327,f436]) ).
fof(f35,axiom,
( hskp27
| hskp6
| hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f554,plain,
( ~ spl53_28
| spl53_59 ),
inference(avatar_split_clause,[],[f59,f551,f415]) ).
fof(f59,axiom,
( c2_1(a1032)
| ~ hskp17 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f543,plain,
( spl53_55
| spl53_56
| ~ spl53_6
| spl53_57 ),
inference(avatar_split_clause,[],[f146,f541,f322,f537,f533]) ).
fof(f146,axiom,
! [X0] :
( ~ c1_1(X0)
| ~ ndr1_0
| hskp4
| c3_1(X0)
| hskp23
| ~ c2_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f531,plain,
( ~ spl53_36
| ~ spl53_54 ),
inference(avatar_split_clause,[],[f128,f528,f450]) ).
fof(f128,axiom,
( ~ c1_1(a1001)
| ~ hskp1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f526,plain,
( ~ spl53_52
| spl53_53 ),
inference(avatar_split_clause,[],[f56,f523,f519]) ).
fof(f56,axiom,
( c2_1(a1041)
| ~ hskp21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f517,plain,
( spl53_50
| ~ spl53_6
| ~ spl53_51
| spl53_14 ),
inference(avatar_split_clause,[],[f280,f357,f514,f322,f510]) ).
fof(f280,plain,
! [X1] :
( c0_1(X1)
| ~ sP43
| ~ c2_1(X1)
| c1_1(X1)
| ~ ndr1_0
| hskp3 ),
inference(general_splitting,[],[f154,f279_D]) ).
fof(f154,axiom,
! [X0,X1] :
( c1_1(X1)
| c2_1(X0)
| ~ c2_1(X1)
| c3_1(X0)
| hskp3
| ~ ndr1_0
| ~ c1_1(X0)
| c0_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f495,plain,
( ~ spl53_45
| spl53_46 ),
inference(avatar_split_clause,[],[f62,f492,f488]) ).
fof(f62,axiom,
( c2_1(a1026)
| ~ hskp15 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f486,plain,
( spl53_42
| ~ spl53_43
| ~ spl53_6
| spl53_44 ),
inference(avatar_split_clause,[],[f266,f484,f322,f480,f476]) ).
fof(f266,plain,
! [X1] :
( c3_1(X1)
| ~ ndr1_0
| c0_1(X1)
| ~ sP36
| hskp2
| c1_1(X1) ),
inference(general_splitting,[],[f151,f265_D]) ).
fof(f151,axiom,
! [X0,X1] :
( c1_1(X1)
| c1_1(X0)
| ~ ndr1_0
| hskp2
| c3_1(X1)
| c0_1(X1)
| c2_1(X0)
| c3_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f474,plain,
( spl53_39
| ~ spl53_6
| spl53_40
| ~ spl53_41 ),
inference(avatar_split_clause,[],[f208,f471,f468,f322,f464]) ).
fof(f208,plain,
! [X1] :
( ~ sP7
| ~ c1_1(X1)
| c0_1(X1)
| ~ ndr1_0
| hskp0
| c2_1(X1) ),
inference(general_splitting,[],[f165,f207_D]) ).
fof(f165,axiom,
! [X0,X1] :
( ~ c1_1(X1)
| ~ ndr1_0
| c0_1(X1)
| c2_1(X1)
| hskp0
| c0_1(X0)
| ~ c2_1(X0)
| ~ c1_1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f462,plain,
( ~ spl53_37
| ~ spl53_38 ),
inference(avatar_split_clause,[],[f121,f459,f455]) ).
fof(f121,axiom,
( ~ c1_1(a1005)
| ~ hskp5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f448,plain,
( ~ spl53_35
| ~ spl53_9 ),
inference(avatar_split_clause,[],[f111,f334,f445]) ).
fof(f111,axiom,
( ~ hskp12
| ~ c0_1(a1019) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).
fof(f443,plain,
( ~ spl53_33
| ~ spl53_34 ),
inference(avatar_split_clause,[],[f107,f440,f436]) ).
fof(f107,axiom,
( ~ c2_1(a1025)
| ~ hskp14 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f418,plain,
( ~ spl53_6
| ~ spl53_26
| spl53_27
| spl53_28 ),
inference(avatar_split_clause,[],[f194,f415,f412,f408,f322]) ).
fof(f194,plain,
! [X1] :
( hskp17
| ~ c0_1(X1)
| ~ sP0
| c3_1(X1)
| ~ ndr1_0
| ~ c2_1(X1) ),
inference(general_splitting,[],[f182,f193_D]) ).
fof(f182,axiom,
! [X0,X1] :
( c3_1(X1)
| ~ c2_1(X1)
| ~ c2_1(X0)
| ~ c0_1(X0)
| ~ c1_1(X0)
| ~ c0_1(X1)
| hskp17
| ~ ndr1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f394,plain,
( ~ spl53_21
| ~ spl53_22 ),
inference(avatar_split_clause,[],[f86,f391,f387]) ).
fof(f86,axiom,
( ~ c2_1(a1052)
| ~ hskp26 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f376,plain,
( spl53_17
| spl53_18 ),
inference(avatar_split_clause,[],[f263,f374,f370]) ).
fof(f359,plain,
( spl53_13
| spl53_14 ),
inference(avatar_split_clause,[],[f255,f357,f353]) ).
fof(f346,plain,
( ~ spl53_10
| spl53_11 ),
inference(avatar_split_clause,[],[f64,f343,f339]) ).
fof(f64,axiom,
( c3_1(a1023)
| ~ hskp13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f316,plain,
( ~ spl53_3
| ~ spl53_4 ),
inference(avatar_split_clause,[],[f98,f313,f309]) ).
fof(f98,axiom,
( ~ c0_1(a1037)
| ~ hskp19 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN475-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 21:58:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 % (9806)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.46 % (9798)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.51 % (9798)First to succeed.
% 0.19/0.52 % (9798)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (9798)------------------------------
% 0.19/0.52 % (9798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9798)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (9798)Memory used [KB]: 6908
% 0.19/0.52 % (9798)Time elapsed: 0.123 s
% 0.19/0.52 % (9798)Instructions burned: 44 (million)
% 0.19/0.52 % (9798)------------------------------
% 0.19/0.52 % (9798)------------------------------
% 0.19/0.52 % (9787)Success in time 0.174 s
%------------------------------------------------------------------------------