TSTP Solution File: SWC104-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC104-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 : Sun May 5 09:58:51 EDT 2024
% Result : Unsatisfiable 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 411
% Syntax : Number of formulae : 751 ( 245 unt; 0 def)
% Number of atoms : 2212 ( 243 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2646 (1185 ~;1235 |; 0 &)
% ( 226 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 247 ( 245 usr; 227 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% Number of variables : 706 ( 706 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2228,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f243,f248,f253,f258,f263,f272,f281,f286,f291,f296,f301,f306,f311,f316,f321,f326,f331,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f432,f436,f440,f444,f448,f452,f456,f460,f464,f468,f472,f476,f480,f485,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f565,f569,f573,f577,f581,f585,f592,f596,f600,f604,f670,f674,f678,f682,f686,f691,f695,f718,f722,f726,f731,f735,f739,f743,f747,f751,f755,f759,f763,f767,f772,f777,f781,f785,f789,f793,f797,f801,f805,f809,f813,f818,f822,f826,f830,f834,f851,f863,f867,f871,f876,f954,f958,f962,f966,f970,f977,f981,f985,f989,f993,f997,f1049,f1053,f1057,f1068,f1072,f1076,f1080,f1084,f1175,f1179,f1183,f1187,f1191,f1195,f1199,f1214,f1218,f1222,f1241,f1335,f1341,f1382,f1386,f1391,f1395,f1468,f1472,f1476,f1480,f1484,f1488,f1492,f1579,f1587,f1591,f1595,f1599,f1603,f1607,f1611,f1656,f1660,f1678,f1726,f1731,f1747,f1752,f1793,f1797,f1802,f1807,f1811,f1815,f1819,f2040,f2045,f2053,f2059,f2065,f2070,f2074,f2080,f2086,f2090,f2094,f2102,f2108,f2114,f2120,f2126,f2132,f2138,f2144,f2150,f2156,f2162,f2168,f2173,f2178,f2183,f2188,f2193,f2198,f2203,f2208,f2215,f2221,f2226,f2227]) ).
fof(f2227,plain,
( spl0_226
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125
| ~ spl0_182
| ~ spl0_223 ),
inference(avatar_split_clause,[],[f2210,f2205,f1723,f848,f278,f274,f260,f2223]) ).
fof(f2223,plain,
( spl0_226
<=> neq(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f260,plain,
( spl0_6
<=> sk4 = app(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f274,plain,
( spl0_9
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f278,plain,
( spl0_10
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f848,plain,
( spl0_125
<=> sk5 = app(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1723,plain,
( spl0_182
<=> sk3 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2205,plain,
( spl0_223
<=> neq(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2210,plain,
( neq(sk5,sk5)
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125
| ~ spl0_182
| ~ spl0_223 ),
inference(forward_demodulation,[],[f2209,f1679]) ).
fof(f1679,plain,
( sk4 = sk5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1244,f1319]) ).
fof(f1319,plain,
( sk5 = app(sk4,sk5)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1283,f276]) ).
fof(f276,plain,
( sk3 = sk4
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f1283,plain,
( sk5 = app(sk3,sk5)
| ~ spl0_10
| ~ spl0_125 ),
inference(superposition,[],[f850,f279]) ).
fof(f279,plain,
( nil = sk3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f850,plain,
( sk5 = app(nil,sk5)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f1244,plain,
( sk4 = app(sk4,sk5)
| ~ spl0_6
| ~ spl0_9 ),
inference(superposition,[],[f262,f276]) ).
fof(f262,plain,
( sk4 = app(sk3,sk5)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f2209,plain,
( neq(sk4,sk5)
| ~ spl0_182
| ~ spl0_223 ),
inference(forward_demodulation,[],[f2207,f1725]) ).
fof(f1725,plain,
( sk3 = sk5
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f2207,plain,
( neq(sk4,sk3)
| ~ spl0_223 ),
inference(avatar_component_clause,[],[f2205]) ).
fof(f2226,plain,
( ~ spl0_226
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1681,f848,f278,f274,f269,f260,f2223]) ).
fof(f269,plain,
( spl0_8
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f1681,plain,
( ~ neq(sk5,sk5)
| ~ spl0_6
| spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1250,f1679]) ).
fof(f1250,plain,
( ~ neq(sk4,sk4)
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1249,f276]) ).
fof(f1249,plain,
( ~ neq(sk4,sk3)
| spl0_8
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1246,f279]) ).
fof(f1246,plain,
( ~ neq(sk4,nil)
| spl0_8
| ~ spl0_9 ),
inference(superposition,[],[f271,f276]) ).
fof(f271,plain,
( ~ neq(sk3,nil)
| spl0_8 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f2221,plain,
( spl0_225
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1679,f848,f278,f274,f260,f2218]) ).
fof(f2218,plain,
( spl0_225
<=> sk4 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2215,plain,
( spl0_224
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1284,f278,f274,f255,f2212]) ).
fof(f2212,plain,
( spl0_224
<=> neq(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f255,plain,
( spl0_5
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f1284,plain,
( neq(sk4,sk4)
| ~ spl0_5
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f1251,f276]) ).
fof(f1251,plain,
( neq(sk4,sk3)
| ~ spl0_5
| ~ spl0_10 ),
inference(superposition,[],[f257,f279]) ).
fof(f257,plain,
( neq(sk4,nil)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f2208,plain,
( spl0_223
| ~ spl0_5
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1251,f278,f255,f2205]) ).
fof(f2203,plain,
( ~ spl0_222
| ~ spl0_182
| spl0_207 ),
inference(avatar_split_clause,[],[f2121,f2117,f1723,f2200]) ).
fof(f2200,plain,
( spl0_222
<=> singletonP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2117,plain,
( spl0_207
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2121,plain,
( ~ singletonP(sk5)
| ~ spl0_182
| spl0_207 ),
inference(forward_demodulation,[],[f2119,f1725]) ).
fof(f2119,plain,
( ~ singletonP(sk3)
| spl0_207 ),
inference(avatar_component_clause,[],[f2117]) ).
fof(f2198,plain,
( spl0_221
| ~ spl0_182
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2115,f2111,f1723,f2195]) ).
fof(f2195,plain,
( spl0_221
<=> cyclefreeP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2111,plain,
( spl0_206
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2115,plain,
( cyclefreeP(sk5)
| ~ spl0_182
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2113,f1725]) ).
fof(f2113,plain,
( cyclefreeP(sk3)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f2193,plain,
( spl0_220
| ~ spl0_182
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2109,f2105,f1723,f2190]) ).
fof(f2190,plain,
( spl0_220
<=> totalorderP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2105,plain,
( spl0_205
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f2109,plain,
( totalorderP(sk5)
| ~ spl0_182
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2107,f1725]) ).
fof(f2107,plain,
( totalorderP(sk3)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2105]) ).
fof(f2188,plain,
( spl0_219
| ~ spl0_182
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2103,f2099,f1723,f2185]) ).
fof(f2185,plain,
( spl0_219
<=> strictorderP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2099,plain,
( spl0_204
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2103,plain,
( strictorderP(sk5)
| ~ spl0_182
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2101,f1725]) ).
fof(f2101,plain,
( strictorderP(sk3)
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2183,plain,
( spl0_218
| ~ spl0_182
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2081,f2077,f1723,f2180]) ).
fof(f2180,plain,
( spl0_218
<=> strictorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2077,plain,
( spl0_200
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2081,plain,
( strictorderedP(sk5)
| ~ spl0_182
| ~ spl0_200 ),
inference(forward_demodulation,[],[f2079,f1725]) ).
fof(f2079,plain,
( strictorderedP(sk3)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f2077]) ).
fof(f2178,plain,
( spl0_217
| ~ spl0_182
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2041,f2037,f1723,f2175]) ).
fof(f2175,plain,
( spl0_217
<=> duplicatefreeP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2037,plain,
( spl0_193
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f2041,plain,
( duplicatefreeP(sk5)
| ~ spl0_182
| ~ spl0_193 ),
inference(forward_demodulation,[],[f2039,f1725]) ).
fof(f2039,plain,
( duplicatefreeP(sk3)
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2037]) ).
fof(f2173,plain,
( spl0_216
| ~ spl0_182
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1803,f1799,f1723,f2170]) ).
fof(f2170,plain,
( spl0_216
<=> equalelemsP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1799,plain,
( spl0_188
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1803,plain,
( equalelemsP(sk5)
| ~ spl0_182
| ~ spl0_188 ),
inference(forward_demodulation,[],[f1801,f1725]) ).
fof(f1801,plain,
( equalelemsP(sk3)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f2168,plain,
( spl0_215
| ~ spl0_3
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1732,f1723,f245,f2165]) ).
fof(f2165,plain,
( spl0_215
<=> totalorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f245,plain,
( spl0_3
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1732,plain,
( totalorderedP(sk5)
| ~ spl0_3
| ~ spl0_182 ),
inference(superposition,[],[f247,f1725]) ).
fof(f247,plain,
( totalorderedP(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f2162,plain,
( ~ spl0_214
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f1292,f333,f278,f274,f2159]) ).
fof(f2159,plain,
( spl0_214
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f333,plain,
( spl0_21
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1292,plain,
( ~ singletonP(sk4)
| ~ spl0_9
| ~ spl0_10
| spl0_21 ),
inference(forward_demodulation,[],[f1261,f276]) ).
fof(f1261,plain,
( ~ singletonP(sk3)
| ~ spl0_10
| spl0_21 ),
inference(superposition,[],[f335,f279]) ).
fof(f335,plain,
( ~ singletonP(nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f2156,plain,
( spl0_213
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1291,f313,f278,f274,f2153]) ).
fof(f2153,plain,
( spl0_213
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f313,plain,
( spl0_17
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1291,plain,
( cyclefreeP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1259,f276]) ).
fof(f1259,plain,
( cyclefreeP(sk3)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f315,f279]) ).
fof(f315,plain,
( cyclefreeP(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f2150,plain,
( spl0_212
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1290,f308,f278,f274,f2147]) ).
fof(f2147,plain,
( spl0_212
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f308,plain,
( spl0_16
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1290,plain,
( totalorderP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1258,f276]) ).
fof(f1258,plain,
( totalorderP(sk3)
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f310,f279]) ).
fof(f310,plain,
( totalorderP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f2144,plain,
( spl0_211
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1289,f303,f278,f274,f2141]) ).
fof(f2141,plain,
( spl0_211
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f303,plain,
( spl0_15
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1289,plain,
( strictorderP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1257,f276]) ).
fof(f1257,plain,
( strictorderP(sk3)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f305,f279]) ).
fof(f305,plain,
( strictorderP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f2138,plain,
( spl0_210
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1288,f293,f278,f274,f2135]) ).
fof(f2135,plain,
( spl0_210
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f293,plain,
( spl0_13
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1288,plain,
( strictorderedP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1255,f276]) ).
fof(f1255,plain,
( strictorderedP(sk3)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f295,f279]) ).
fof(f295,plain,
( strictorderedP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f2132,plain,
( spl0_209
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1287,f288,f278,f274,f2129]) ).
fof(f2129,plain,
( spl0_209
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f288,plain,
( spl0_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1287,plain,
( duplicatefreeP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1254,f276]) ).
fof(f1254,plain,
( duplicatefreeP(sk3)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f290,f279]) ).
fof(f290,plain,
( duplicatefreeP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f2126,plain,
( spl0_208
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1286,f283,f278,f274,f2123]) ).
fof(f2123,plain,
( spl0_208
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f283,plain,
( spl0_11
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1286,plain,
( equalelemsP(sk4)
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f1253,f276]) ).
fof(f1253,plain,
( equalelemsP(sk3)
| ~ spl0_10
| ~ spl0_11 ),
inference(superposition,[],[f285,f279]) ).
fof(f285,plain,
( equalelemsP(nil)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f2120,plain,
( ~ spl0_207
| ~ spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f1261,f333,f278,f2117]) ).
fof(f2114,plain,
( spl0_206
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1259,f313,f278,f2111]) ).
fof(f2108,plain,
( spl0_205
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1258,f308,f278,f2105]) ).
fof(f2102,plain,
( spl0_204
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1257,f303,f278,f2099]) ).
fof(f2094,plain,
spl0_203,
inference(avatar_split_clause,[],[f226,f2092]) ).
fof(f2092,plain,
( spl0_203
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f2090,plain,
spl0_202,
inference(avatar_split_clause,[],[f225,f2088]) ).
fof(f2088,plain,
( spl0_202
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f2086,plain,
spl0_201,
inference(avatar_split_clause,[],[f224,f2084]) ).
fof(f2084,plain,
( spl0_201
<=> ! [X2,X4,X0,X3,X1] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f2080,plain,
( spl0_200
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1255,f293,f278,f2077]) ).
fof(f2074,plain,
spl0_199,
inference(avatar_split_clause,[],[f223,f2072]) ).
fof(f2072,plain,
( spl0_199
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f2070,plain,
spl0_198,
inference(avatar_split_clause,[],[f222,f2068]) ).
fof(f2068,plain,
( spl0_198
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f2065,plain,
spl0_197,
inference(avatar_split_clause,[],[f219,f2063]) ).
fof(f2063,plain,
( spl0_197
<=> ! [X0,X3,X2,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f2059,plain,
spl0_196,
inference(avatar_split_clause,[],[f221,f2057]) ).
fof(f2057,plain,
( spl0_196
<=> ! [X0,X3,X2,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f2053,plain,
( spl0_195
| ~ spl0_10
| ~ spl0_182
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2049,f2043,f1723,f278,f2051]) ).
fof(f2051,plain,
( spl0_195
<=> ! [X0,X1] :
( sk5 = X1
| sk5 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f2043,plain,
( spl0_194
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f2049,plain,
( ! [X0,X1] :
( sk5 = X1
| sk5 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_10
| ~ spl0_182
| ~ spl0_194 ),
inference(forward_demodulation,[],[f2048,f1725]) ).
fof(f2048,plain,
( ! [X0,X1] :
( sk3 = X1
| sk5 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_10
| ~ spl0_182
| ~ spl0_194 ),
inference(forward_demodulation,[],[f2047,f279]) ).
fof(f2047,plain,
( ! [X0,X1] :
( sk5 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_10
| ~ spl0_182
| ~ spl0_194 ),
inference(forward_demodulation,[],[f2046,f1725]) ).
fof(f2046,plain,
( ! [X0,X1] :
( sk3 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_10
| ~ spl0_194 ),
inference(forward_demodulation,[],[f2044,f279]) ).
fof(f2044,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f2043]) ).
fof(f2045,plain,
spl0_194,
inference(avatar_split_clause,[],[f177,f2043]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f2040,plain,
( spl0_193
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1254,f288,f278,f2037]) ).
fof(f1819,plain,
spl0_192,
inference(avatar_split_clause,[],[f167,f1817]) ).
fof(f1817,plain,
( spl0_192
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f1815,plain,
spl0_191,
inference(avatar_split_clause,[],[f166,f1813]) ).
fof(f1813,plain,
( spl0_191
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f1811,plain,
spl0_190,
inference(avatar_split_clause,[],[f165,f1809]) ).
fof(f1809,plain,
( spl0_190
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f1807,plain,
spl0_189,
inference(avatar_split_clause,[],[f164,f1805]) ).
fof(f1805,plain,
( spl0_189
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1802,plain,
( spl0_188
| ~ spl0_10
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1253,f283,f278,f1799]) ).
fof(f1797,plain,
spl0_187,
inference(avatar_split_clause,[],[f163,f1795]) ).
fof(f1795,plain,
( spl0_187
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f1793,plain,
spl0_186,
inference(avatar_split_clause,[],[f162,f1791]) ).
fof(f1791,plain,
( spl0_186
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f1752,plain,
( spl0_185
| ~ spl0_182
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1748,f1745,f1723,f1750]) ).
fof(f1750,plain,
( spl0_185
<=> ! [X0,X1] :
( sk5 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1745,plain,
( spl0_184
<=> ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1748,plain,
( ! [X0,X1] :
( sk5 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_182
| ~ spl0_184 ),
inference(forward_demodulation,[],[f1746,f1725]) ).
fof(f1746,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f1747,plain,
( spl0_184
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1336,f1333,f278,f1745]) ).
fof(f1333,plain,
( spl0_159
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1336,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_10
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1334,f279]) ).
fof(f1334,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1731,plain,
( spl0_183
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1689,f848,f278,f274,f265,f260,f1728]) ).
fof(f1728,plain,
( spl0_183
<=> frontsegP(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f265,plain,
( spl0_7
<=> frontsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1689,plain,
( frontsegP(sk5,sk5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1688,f1679]) ).
fof(f1688,plain,
( frontsegP(sk4,sk5)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f266,f1680]) ).
fof(f1680,plain,
( sk3 = sk5
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f276,f1679]) ).
fof(f266,plain,
( frontsegP(sk4,sk3)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f1726,plain,
( spl0_182
| ~ spl0_6
| ~ spl0_9
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1680,f848,f278,f274,f260,f1723]) ).
fof(f1678,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_1
| spl0_7
| ~ spl0_6
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1038,f995,f260,f265,f235,f250,f240]) ).
fof(f240,plain,
( spl0_2
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f250,plain,
( spl0_4
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f235,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f995,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1038,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ spl0_6
| ~ spl0_140 ),
inference(superposition,[],[f996,f262]) ).
fof(f996,plain,
( ! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f1660,plain,
spl0_181,
inference(avatar_split_clause,[],[f218,f1658]) ).
fof(f1658,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f1656,plain,
spl0_180,
inference(avatar_split_clause,[],[f217,f1654]) ).
fof(f1654,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1611,plain,
spl0_179,
inference(avatar_split_clause,[],[f176,f1609]) ).
fof(f1609,plain,
( spl0_179
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f1607,plain,
spl0_178,
inference(avatar_split_clause,[],[f174,f1605]) ).
fof(f1605,plain,
( spl0_178
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1603,plain,
spl0_177,
inference(avatar_split_clause,[],[f172,f1601]) ).
fof(f1601,plain,
( spl0_177
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f1599,plain,
spl0_176,
inference(avatar_split_clause,[],[f171,f1597]) ).
fof(f1597,plain,
( spl0_176
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f1595,plain,
spl0_175,
inference(avatar_split_clause,[],[f170,f1593]) ).
fof(f1593,plain,
( spl0_175
<=> ! [X0,X3,X2,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1591,plain,
spl0_174,
inference(avatar_split_clause,[],[f169,f1589]) ).
fof(f1589,plain,
( spl0_174
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1587,plain,
spl0_173,
inference(avatar_split_clause,[],[f168,f1585]) ).
fof(f1585,plain,
( spl0_173
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1579,plain,
( ~ spl0_4
| ~ spl0_2
| ~ spl0_1
| spl0_172
| ~ spl0_6
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1029,f991,f260,f1576,f235,f240,f250]) ).
fof(f1576,plain,
( spl0_172
<=> rearsegP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f991,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f1029,plain,
( rearsegP(sk4,sk5)
| ~ ssList(sk4)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ spl0_6
| ~ spl0_139 ),
inference(superposition,[],[f992,f262]) ).
fof(f992,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f1492,plain,
spl0_171,
inference(avatar_split_clause,[],[f161,f1490]) ).
fof(f1490,plain,
( spl0_171
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f1488,plain,
spl0_170,
inference(avatar_split_clause,[],[f160,f1486]) ).
fof(f1486,plain,
( spl0_170
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1484,plain,
spl0_169,
inference(avatar_split_clause,[],[f159,f1482]) ).
fof(f1482,plain,
( spl0_169
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f1480,plain,
spl0_168,
inference(avatar_split_clause,[],[f158,f1478]) ).
fof(f1478,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1476,plain,
spl0_167,
inference(avatar_split_clause,[],[f157,f1474]) ).
fof(f1474,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1472,plain,
spl0_166,
inference(avatar_split_clause,[],[f149,f1470]) ).
fof(f1470,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f1468,plain,
spl0_165,
inference(avatar_split_clause,[],[f142,f1466]) ).
fof(f1466,plain,
( spl0_165
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f1395,plain,
spl0_164,
inference(avatar_split_clause,[],[f227,f1393]) ).
fof(f1393,plain,
( spl0_164
<=> ! [X0,X1,X3] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f227,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f1391,plain,
( spl0_163
| ~ spl0_3
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f1242,f274,f245,f1388]) ).
fof(f1388,plain,
( spl0_163
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1242,plain,
( totalorderedP(sk4)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f247,f276]) ).
fof(f1386,plain,
spl0_162,
inference(avatar_split_clause,[],[f151,f1384]) ).
fof(f1384,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f1382,plain,
spl0_161,
inference(avatar_split_clause,[],[f150,f1380]) ).
fof(f1380,plain,
( spl0_161
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f1341,plain,
( spl0_160
| ~ spl0_9
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1337,f1333,f278,f274,f1339]) ).
fof(f1339,plain,
( spl0_160
<=> ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1337,plain,
( ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_9
| ~ spl0_10
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1336,f276]) ).
fof(f1335,plain,
spl0_159,
inference(avatar_split_clause,[],[f133,f1333]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f1241,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_18
| spl0_8
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f837,f787,f269,f318,f278,f250]) ).
fof(f318,plain,
( spl0_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f787,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f837,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl0_8
| ~ spl0_113 ),
inference(resolution,[],[f788,f271]) ).
fof(f788,plain,
( ! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f787]) ).
fof(f1222,plain,
spl0_158,
inference(avatar_split_clause,[],[f156,f1220]) ).
fof(f1220,plain,
( spl0_158
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f1218,plain,
spl0_157,
inference(avatar_split_clause,[],[f155,f1216]) ).
fof(f1216,plain,
( spl0_157
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1214,plain,
spl0_156,
inference(avatar_split_clause,[],[f154,f1212]) ).
fof(f1212,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f1199,plain,
spl0_155,
inference(avatar_split_clause,[],[f153,f1197]) ).
fof(f1197,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f1195,plain,
spl0_154,
inference(avatar_split_clause,[],[f152,f1193]) ).
fof(f1193,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1191,plain,
spl0_153,
inference(avatar_split_clause,[],[f148,f1189]) ).
fof(f1189,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f1187,plain,
spl0_152,
inference(avatar_split_clause,[],[f147,f1185]) ).
fof(f1185,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f1183,plain,
spl0_151,
inference(avatar_split_clause,[],[f146,f1181]) ).
fof(f1181,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f1179,plain,
spl0_150,
inference(avatar_split_clause,[],[f135,f1177]) ).
fof(f1177,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f1175,plain,
spl0_149,
inference(avatar_split_clause,[],[f134,f1173]) ).
fof(f1173,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f1084,plain,
spl0_148,
inference(avatar_split_clause,[],[f141,f1082]) ).
fof(f1082,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1080,plain,
spl0_147,
inference(avatar_split_clause,[],[f140,f1078]) ).
fof(f1078,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1076,plain,
spl0_146,
inference(avatar_split_clause,[],[f139,f1074]) ).
fof(f1074,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1072,plain,
spl0_145,
inference(avatar_split_clause,[],[f137,f1070]) ).
fof(f1070,plain,
( spl0_145
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f1068,plain,
spl0_144,
inference(avatar_split_clause,[],[f136,f1066]) ).
fof(f1066,plain,
( spl0_144
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f1057,plain,
spl0_143,
inference(avatar_split_clause,[],[f132,f1055]) ).
fof(f1055,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f1053,plain,
spl0_142,
inference(avatar_split_clause,[],[f131,f1051]) ).
fof(f1051,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1049,plain,
spl0_141,
inference(avatar_split_clause,[],[f123,f1047]) ).
fof(f1047,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f997,plain,
spl0_140,
inference(avatar_split_clause,[],[f214,f995]) ).
fof(f214,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f993,plain,
spl0_139,
inference(avatar_split_clause,[],[f213,f991]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f989,plain,
spl0_138,
inference(avatar_split_clause,[],[f130,f987]) ).
fof(f987,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f985,plain,
spl0_137,
inference(avatar_split_clause,[],[f129,f983]) ).
fof(f983,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f981,plain,
spl0_136,
inference(avatar_split_clause,[],[f128,f979]) ).
fof(f979,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f977,plain,
spl0_135,
inference(avatar_split_clause,[],[f127,f975]) ).
fof(f975,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f970,plain,
spl0_134,
inference(avatar_split_clause,[],[f126,f968]) ).
fof(f968,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f966,plain,
spl0_133,
inference(avatar_split_clause,[],[f125,f964]) ).
fof(f964,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f962,plain,
spl0_132,
inference(avatar_split_clause,[],[f124,f960]) ).
fof(f960,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f958,plain,
spl0_131,
inference(avatar_split_clause,[],[f121,f956]) ).
fof(f956,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f954,plain,
spl0_130,
inference(avatar_split_clause,[],[f120,f952]) ).
fof(f952,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f876,plain,
spl0_129,
inference(avatar_split_clause,[],[f119,f874]) ).
fof(f874,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f871,plain,
spl0_128,
inference(avatar_split_clause,[],[f118,f869]) ).
fof(f869,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f867,plain,
spl0_127,
inference(avatar_split_clause,[],[f109,f865]) ).
fof(f865,plain,
( spl0_127
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f863,plain,
spl0_126,
inference(avatar_split_clause,[],[f104,f861]) ).
fof(f861,plain,
( spl0_126
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f851,plain,
( spl0_125
| ~ spl0_2
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f666,f602,f240,f848]) ).
fof(f602,plain,
( spl0_88
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f666,plain,
( sk5 = app(nil,sk5)
| ~ spl0_2
| ~ spl0_88 ),
inference(resolution,[],[f603,f242]) ).
fof(f242,plain,
( ssList(sk5)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f603,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f834,plain,
spl0_124,
inference(avatar_split_clause,[],[f208,f832]) ).
fof(f832,plain,
( spl0_124
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f830,plain,
spl0_123,
inference(avatar_split_clause,[],[f114,f828]) ).
fof(f828,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f826,plain,
spl0_122,
inference(avatar_split_clause,[],[f110,f824]) ).
fof(f824,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f822,plain,
spl0_121,
inference(avatar_split_clause,[],[f108,f820]) ).
fof(f820,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f818,plain,
( spl0_120
| ~ spl0_1
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f665,f602,f235,f815]) ).
fof(f815,plain,
( spl0_120
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f665,plain,
( sk4 = app(nil,sk4)
| ~ spl0_1
| ~ spl0_88 ),
inference(resolution,[],[f603,f237]) ).
fof(f237,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f813,plain,
spl0_119,
inference(avatar_split_clause,[],[f107,f811]) ).
fof(f811,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f809,plain,
spl0_118,
inference(avatar_split_clause,[],[f106,f807]) ).
fof(f807,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f805,plain,
spl0_117,
inference(avatar_split_clause,[],[f105,f803]) ).
fof(f803,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f801,plain,
spl0_116,
inference(avatar_split_clause,[],[f103,f799]) ).
fof(f799,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f797,plain,
spl0_115,
inference(avatar_split_clause,[],[f102,f795]) ).
fof(f795,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f793,plain,
spl0_114,
inference(avatar_split_clause,[],[f101,f791]) ).
fof(f791,plain,
( spl0_114
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f789,plain,
spl0_113,
inference(avatar_split_clause,[],[f100,f787]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f785,plain,
spl0_112,
inference(avatar_split_clause,[],[f97,f783]) ).
fof(f783,plain,
( spl0_112
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f781,plain,
spl0_111,
inference(avatar_split_clause,[],[f96,f779]) ).
fof(f779,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f777,plain,
( spl0_110
| ~ spl0_4
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f664,f602,f250,f774]) ).
fof(f774,plain,
( spl0_110
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f664,plain,
( sk3 = app(nil,sk3)
| ~ spl0_4
| ~ spl0_88 ),
inference(resolution,[],[f603,f252]) ).
fof(f252,plain,
( ssList(sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f772,plain,
( spl0_109
| ~ spl0_2
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f635,f598,f240,f769]) ).
fof(f769,plain,
( spl0_109
<=> sk5 = app(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f598,plain,
( spl0_87
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f635,plain,
( sk5 = app(sk5,nil)
| ~ spl0_2
| ~ spl0_87 ),
inference(resolution,[],[f599,f242]) ).
fof(f599,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f767,plain,
spl0_108,
inference(avatar_split_clause,[],[f229,f765]) ).
fof(f765,plain,
( spl0_108
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f229,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f763,plain,
spl0_107,
inference(avatar_split_clause,[],[f99,f761]) ).
fof(f761,plain,
( spl0_107
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f759,plain,
spl0_106,
inference(avatar_split_clause,[],[f98,f757]) ).
fof(f757,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f755,plain,
spl0_105,
inference(avatar_split_clause,[],[f95,f753]) ).
fof(f753,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f751,plain,
spl0_104,
inference(avatar_split_clause,[],[f94,f749]) ).
fof(f749,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f747,plain,
spl0_103,
inference(avatar_split_clause,[],[f93,f745]) ).
fof(f745,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f743,plain,
spl0_102,
inference(avatar_split_clause,[],[f92,f741]) ).
fof(f741,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f739,plain,
spl0_101,
inference(avatar_split_clause,[],[f91,f737]) ).
fof(f737,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f735,plain,
spl0_100,
inference(avatar_split_clause,[],[f90,f733]) ).
fof(f733,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f731,plain,
( spl0_99
| ~ spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f634,f598,f235,f728]) ).
fof(f728,plain,
( spl0_99
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f634,plain,
( sk4 = app(sk4,nil)
| ~ spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f599,f237]) ).
fof(f726,plain,
spl0_98,
inference(avatar_split_clause,[],[f89,f724]) ).
fof(f724,plain,
( spl0_98
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f722,plain,
spl0_97,
inference(avatar_split_clause,[],[f88,f720]) ).
fof(f720,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f718,plain,
spl0_96,
inference(avatar_split_clause,[],[f87,f716]) ).
fof(f716,plain,
( spl0_96
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f695,plain,
spl0_95,
inference(avatar_split_clause,[],[f86,f693]) ).
fof(f693,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f691,plain,
( spl0_94
| ~ spl0_4
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f633,f598,f250,f688]) ).
fof(f688,plain,
( spl0_94
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f633,plain,
( sk3 = app(sk3,nil)
| ~ spl0_4
| ~ spl0_87 ),
inference(resolution,[],[f599,f252]) ).
fof(f686,plain,
spl0_93,
inference(avatar_split_clause,[],[f85,f684]) ).
fof(f684,plain,
( spl0_93
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f682,plain,
spl0_92,
inference(avatar_split_clause,[],[f84,f680]) ).
fof(f680,plain,
( spl0_92
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f678,plain,
spl0_91,
inference(avatar_split_clause,[],[f82,f676]) ).
fof(f676,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f674,plain,
spl0_90,
inference(avatar_split_clause,[],[f80,f672]) ).
fof(f672,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f670,plain,
spl0_89,
inference(avatar_split_clause,[],[f75,f668]) ).
fof(f668,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).
fof(f604,plain,
spl0_88,
inference(avatar_split_clause,[],[f74,f602]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f600,plain,
spl0_87,
inference(avatar_split_clause,[],[f73,f598]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f596,plain,
spl0_86,
inference(avatar_split_clause,[],[f196,f594]) ).
fof(f594,plain,
( spl0_86
<=> ! [X9,X7,X6,X8] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X8,X6)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f196,axiom,
! [X8,X6,X9,X7] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X8,X6)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f592,plain,
( spl0_84
| spl0_85 ),
inference(avatar_split_clause,[],[f72,f590,f587]) ).
fof(f587,plain,
( spl0_84
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f590,plain,
( spl0_85
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f585,plain,
spl0_83,
inference(avatar_split_clause,[],[f70,f583]) ).
fof(f583,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f581,plain,
spl0_82,
inference(avatar_split_clause,[],[f69,f579]) ).
fof(f579,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f577,plain,
spl0_81,
inference(avatar_split_clause,[],[f68,f575]) ).
fof(f575,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f573,plain,
spl0_80,
inference(avatar_split_clause,[],[f67,f571]) ).
fof(f571,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f569,plain,
spl0_79,
inference(avatar_split_clause,[],[f66,f567]) ).
fof(f567,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f565,plain,
spl0_78,
inference(avatar_split_clause,[],[f65,f563]) ).
fof(f563,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f561,plain,
spl0_77,
inference(avatar_split_clause,[],[f64,f559]) ).
fof(f559,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f557,plain,
spl0_76,
inference(avatar_split_clause,[],[f232,f555]) ).
fof(f555,plain,
( spl0_76
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f232,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f553,plain,
spl0_75,
inference(avatar_split_clause,[],[f230,f551]) ).
fof(f551,plain,
( spl0_75
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f230,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f549,plain,
spl0_74,
inference(avatar_split_clause,[],[f71,f547]) ).
fof(f547,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f545,plain,
spl0_73,
inference(avatar_split_clause,[],[f63,f543]) ).
fof(f543,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f541,plain,
spl0_72,
inference(avatar_split_clause,[],[f62,f539]) ).
fof(f539,plain,
( spl0_72
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f537,plain,
spl0_71,
inference(avatar_split_clause,[],[f61,f535]) ).
fof(f535,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f533,plain,
spl0_70,
inference(avatar_split_clause,[],[f60,f531]) ).
fof(f531,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f529,plain,
spl0_69,
inference(avatar_split_clause,[],[f59,f527]) ).
fof(f527,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f525,plain,
spl0_68,
inference(avatar_split_clause,[],[f58,f523]) ).
fof(f523,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f521,plain,
spl0_67,
inference(avatar_split_clause,[],[f57,f519]) ).
fof(f519,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f517,plain,
spl0_66,
inference(avatar_split_clause,[],[f56,f515]) ).
fof(f515,plain,
( spl0_66
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f513,plain,
spl0_65,
inference(avatar_split_clause,[],[f55,f511]) ).
fof(f511,plain,
( spl0_65
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f509,plain,
spl0_64,
inference(avatar_split_clause,[],[f53,f507]) ).
fof(f507,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f505,plain,
spl0_63,
inference(avatar_split_clause,[],[f52,f503]) ).
fof(f503,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f501,plain,
spl0_62,
inference(avatar_split_clause,[],[f51,f499]) ).
fof(f499,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f497,plain,
spl0_61,
inference(avatar_split_clause,[],[f50,f495]) ).
fof(f495,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f493,plain,
spl0_60,
inference(avatar_split_clause,[],[f49,f491]) ).
fof(f491,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f489,plain,
spl0_59,
inference(avatar_split_clause,[],[f48,f487]) ).
fof(f487,plain,
( spl0_59
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f485,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f54,f482]) ).
fof(f482,plain,
( spl0_58
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f480,plain,
spl0_57,
inference(avatar_split_clause,[],[f47,f478]) ).
fof(f478,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f476,plain,
spl0_56,
inference(avatar_split_clause,[],[f46,f474]) ).
fof(f474,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f472,plain,
spl0_55,
inference(avatar_split_clause,[],[f45,f470]) ).
fof(f470,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f468,plain,
spl0_54,
inference(avatar_split_clause,[],[f44,f466]) ).
fof(f466,plain,
( spl0_54
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f464,plain,
spl0_53,
inference(avatar_split_clause,[],[f43,f462]) ).
fof(f462,plain,
( spl0_53
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f460,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f458]) ).
fof(f458,plain,
( spl0_52
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f456,plain,
spl0_51,
inference(avatar_split_clause,[],[f41,f454]) ).
fof(f454,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f452,plain,
spl0_50,
inference(avatar_split_clause,[],[f40,f450]) ).
fof(f450,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f448,plain,
spl0_49,
inference(avatar_split_clause,[],[f39,f446]) ).
fof(f446,plain,
( spl0_49
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f444,plain,
spl0_48,
inference(avatar_split_clause,[],[f38,f442]) ).
fof(f442,plain,
( spl0_48
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f440,plain,
spl0_47,
inference(avatar_split_clause,[],[f37,f438]) ).
fof(f438,plain,
( spl0_47
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f436,plain,
spl0_46,
inference(avatar_split_clause,[],[f36,f434]) ).
fof(f434,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f432,plain,
spl0_45,
inference(avatar_split_clause,[],[f35,f430]) ).
fof(f430,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f428,plain,
spl0_44,
inference(avatar_split_clause,[],[f34,f426]) ).
fof(f426,plain,
( spl0_44
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f424,plain,
spl0_43,
inference(avatar_split_clause,[],[f33,f422]) ).
fof(f422,plain,
( spl0_43
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f420,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f418]) ).
fof(f418,plain,
( spl0_42
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f416,plain,
spl0_41,
inference(avatar_split_clause,[],[f31,f414]) ).
fof(f414,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f412,plain,
spl0_40,
inference(avatar_split_clause,[],[f30,f410]) ).
fof(f410,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f408,plain,
spl0_39,
inference(avatar_split_clause,[],[f29,f406]) ).
fof(f406,plain,
( spl0_39
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f404,plain,
spl0_38,
inference(avatar_split_clause,[],[f28,f402]) ).
fof(f402,plain,
( spl0_38
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f400,plain,
spl0_37,
inference(avatar_split_clause,[],[f27,f398]) ).
fof(f398,plain,
( spl0_37
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f396,plain,
spl0_36,
inference(avatar_split_clause,[],[f26,f394]) ).
fof(f394,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f392,plain,
spl0_35,
inference(avatar_split_clause,[],[f25,f390]) ).
fof(f390,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f388,plain,
spl0_34,
inference(avatar_split_clause,[],[f24,f386]) ).
fof(f386,plain,
( spl0_34
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f384,plain,
spl0_33,
inference(avatar_split_clause,[],[f23,f382]) ).
fof(f382,plain,
( spl0_33
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f380,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f378]) ).
fof(f378,plain,
( spl0_32
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f376,plain,
spl0_31,
inference(avatar_split_clause,[],[f21,f374]) ).
fof(f374,plain,
( spl0_31
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f372,plain,
spl0_30,
inference(avatar_split_clause,[],[f20,f370]) ).
fof(f370,plain,
( spl0_30
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f368,plain,
spl0_29,
inference(avatar_split_clause,[],[f19,f366]) ).
fof(f366,plain,
( spl0_29
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f364,plain,
spl0_28,
inference(avatar_split_clause,[],[f18,f362]) ).
fof(f362,plain,
( spl0_28
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f360,plain,
spl0_27,
inference(avatar_split_clause,[],[f17,f358]) ).
fof(f358,plain,
( spl0_27
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f356,plain,
spl0_26,
inference(avatar_split_clause,[],[f16,f354]) ).
fof(f354,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f352,plain,
spl0_25,
inference(avatar_split_clause,[],[f15,f350]) ).
fof(f350,plain,
( spl0_25
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f348,plain,
spl0_24,
inference(avatar_split_clause,[],[f14,f346]) ).
fof(f346,plain,
( spl0_24
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f344,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f342]) ).
fof(f342,plain,
( spl0_23
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f340,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f338]) ).
fof(f338,plain,
( spl0_22
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f336,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f11,f333]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f331,plain,
spl0_20,
inference(avatar_split_clause,[],[f10,f328]) ).
fof(f328,plain,
( spl0_20
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f326,plain,
spl0_19,
inference(avatar_split_clause,[],[f9,f323]) ).
fof(f323,plain,
( spl0_19
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f321,plain,
spl0_18,
inference(avatar_split_clause,[],[f8,f318]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f316,plain,
spl0_17,
inference(avatar_split_clause,[],[f7,f313]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f311,plain,
spl0_16,
inference(avatar_split_clause,[],[f6,f308]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f306,plain,
spl0_15,
inference(avatar_split_clause,[],[f5,f303]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f301,plain,
spl0_14,
inference(avatar_split_clause,[],[f4,f298]) ).
fof(f298,plain,
( spl0_14
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f296,plain,
spl0_13,
inference(avatar_split_clause,[],[f3,f293]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f291,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f288]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f286,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f283]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f281,plain,
( spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f233,f278,f274]) ).
fof(f233,plain,
( nil != sk3
| sk3 = sk4 ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f272,plain,
( ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f202,f269,f265]) ).
fof(f202,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f198,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f198,axiom,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f263,plain,
spl0_6,
inference(avatar_split_clause,[],[f194,f260]) ).
fof(f194,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f258,plain,
spl0_5,
inference(avatar_split_clause,[],[f201,f255]) ).
fof(f201,plain,
neq(sk4,nil),
inference(definition_unfolding,[],[f192,f190]) ).
fof(f192,axiom,
neq(sk2,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f253,plain,
spl0_4,
inference(avatar_split_clause,[],[f199,f250]) ).
fof(f199,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f248,plain,
spl0_3,
inference(avatar_split_clause,[],[f195,f245]) ).
fof(f195,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f243,plain,
spl0_2,
inference(avatar_split_clause,[],[f193,f240]) ).
fof(f193,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f238,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f235]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWC104-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri May 3 20:28:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (3700)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (3707)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.33 % (3703)WARNING: value z3 for option sas not known
% 0.15/0.33 % (3706)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.33 % (3701)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33 % (3705)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.33 % (3702)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33 % (3704)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33 % (3703)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.34 TRYING [1]
% 0.15/0.34 TRYING [2]
% 0.15/0.35 TRYING [3]
% 0.15/0.36 TRYING [1]
% 0.15/0.36 TRYING [2]
% 0.15/0.37 TRYING [3]
% 0.15/0.38 % (3705)First to succeed.
% 0.15/0.38 TRYING [1]
% 0.15/0.39 % (3706)Also succeeded, but the first one will report.
% 0.15/0.39 TRYING [2]
% 0.15/0.39 % (3705)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3700"
% 0.15/0.39 % (3705)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (3705)------------------------------
% 0.15/0.40 % (3705)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (3705)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (3705)Memory used [KB]: 2284
% 0.15/0.40 % (3705)Time elapsed: 0.061 s
% 0.15/0.40 % (3705)Instructions burned: 112 (million)
% 0.15/0.40 % (3700)Success in time 0.068 s
%------------------------------------------------------------------------------