TSTP Solution File: SWC101-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC101-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 04:47:23 EDT 2024
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 407
% Syntax : Number of formulae : 737 ( 243 unt; 0 def)
% Number of atoms : 2151 ( 251 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2560 (1146 ~;1192 |; 0 &)
% ( 222 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 243 ( 241 usr; 223 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 8 con; 0-2 aty)
% Number of variables : 704 ( 704 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2204,plain,
$false,
inference(avatar_sat_refutation,[],[f239,f244,f249,f254,f259,f268,f277,f282,f287,f292,f297,f302,f307,f312,f317,f322,f327,f332,f337,f341,f345,f349,f353,f357,f361,f365,f369,f373,f377,f381,f385,f389,f393,f397,f401,f405,f409,f413,f417,f421,f425,f429,f433,f437,f441,f445,f449,f453,f457,f461,f465,f469,f473,f477,f481,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f538,f542,f546,f550,f554,f558,f562,f566,f570,f574,f578,f582,f586,f590,f597,f601,f605,f671,f675,f679,f683,f687,f692,f696,f719,f723,f727,f732,f736,f740,f744,f748,f752,f756,f760,f764,f768,f773,f778,f782,f786,f790,f794,f798,f802,f806,f810,f814,f819,f823,f827,f831,f835,f852,f864,f868,f872,f877,f953,f957,f961,f965,f969,f976,f980,f984,f988,f992,f996,f1048,f1052,f1056,f1067,f1071,f1075,f1079,f1083,f1174,f1178,f1182,f1186,f1190,f1194,f1198,f1213,f1217,f1221,f1240,f1333,f1339,f1380,f1384,f1389,f1393,f1466,f1470,f1474,f1478,f1482,f1486,f1490,f1577,f1585,f1589,f1593,f1597,f1601,f1605,f1609,f1654,f1658,f1676,f1724,f1729,f1745,f1750,f1791,f1795,f1800,f1805,f1809,f1813,f1817,f2039,f2044,f2052,f2058,f2064,f2069,f2073,f2079,f2085,f2089,f2093,f2101,f2107,f2113,f2119,f2125,f2131,f2137,f2143,f2149,f2155,f2161,f2167,f2172,f2177,f2182,f2187,f2192,f2197,f2202,f2203]) ).
fof(f2203,plain,
( ~ spl0_8
| spl0_9
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f1251,f279,f274,f270]) ).
fof(f270,plain,
( spl0_8
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f274,plain,
( spl0_9
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f279,plain,
( spl0_10
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1251,plain,
( sk3 != sk4
| spl0_9
| ~ spl0_10 ),
inference(superposition,[],[f276,f280]) ).
fof(f280,plain,
( nil = sk3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f276,plain,
( nil != sk4
| spl0_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f2202,plain,
( ~ spl0_222
| ~ spl0_182
| spl0_207 ),
inference(avatar_split_clause,[],[f2120,f2116,f1721,f2199]) ).
fof(f2199,plain,
( spl0_222
<=> singletonP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f1721,plain,
( spl0_182
<=> sk3 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f2116,plain,
( spl0_207
<=> singletonP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2120,plain,
( ~ singletonP(sk5)
| ~ spl0_182
| spl0_207 ),
inference(forward_demodulation,[],[f2118,f1723]) ).
fof(f1723,plain,
( sk3 = sk5
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1721]) ).
fof(f2118,plain,
( ~ singletonP(sk3)
| spl0_207 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2197,plain,
( spl0_221
| ~ spl0_182
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2114,f2110,f1721,f2194]) ).
fof(f2194,plain,
( spl0_221
<=> cyclefreeP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2110,plain,
( spl0_206
<=> cyclefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2114,plain,
( cyclefreeP(sk5)
| ~ spl0_182
| ~ spl0_206 ),
inference(forward_demodulation,[],[f2112,f1723]) ).
fof(f2112,plain,
( cyclefreeP(sk3)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2110]) ).
fof(f2192,plain,
( spl0_220
| ~ spl0_182
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f2108,f2104,f1721,f2189]) ).
fof(f2189,plain,
( spl0_220
<=> totalorderP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2104,plain,
( spl0_205
<=> totalorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f2108,plain,
( totalorderP(sk5)
| ~ spl0_182
| ~ spl0_205 ),
inference(forward_demodulation,[],[f2106,f1723]) ).
fof(f2106,plain,
( totalorderP(sk3)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f2104]) ).
fof(f2187,plain,
( spl0_219
| ~ spl0_182
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f2102,f2098,f1721,f2184]) ).
fof(f2184,plain,
( spl0_219
<=> strictorderP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f2098,plain,
( spl0_204
<=> strictorderP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f2102,plain,
( strictorderP(sk5)
| ~ spl0_182
| ~ spl0_204 ),
inference(forward_demodulation,[],[f2100,f1723]) ).
fof(f2100,plain,
( strictorderP(sk3)
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2182,plain,
( spl0_218
| ~ spl0_182
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2080,f2076,f1721,f2179]) ).
fof(f2179,plain,
( spl0_218
<=> totalorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2076,plain,
( spl0_200
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2080,plain,
( totalorderedP(sk5)
| ~ spl0_182
| ~ spl0_200 ),
inference(forward_demodulation,[],[f2078,f1723]) ).
fof(f2078,plain,
( totalorderedP(sk3)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f2076]) ).
fof(f2177,plain,
( spl0_217
| ~ spl0_182
| ~ spl0_193 ),
inference(avatar_split_clause,[],[f2040,f2036,f1721,f2174]) ).
fof(f2174,plain,
( spl0_217
<=> strictorderedP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2036,plain,
( spl0_193
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f2040,plain,
( strictorderedP(sk5)
| ~ spl0_182
| ~ spl0_193 ),
inference(forward_demodulation,[],[f2038,f1723]) ).
fof(f2038,plain,
( strictorderedP(sk3)
| ~ spl0_193 ),
inference(avatar_component_clause,[],[f2036]) ).
fof(f2172,plain,
( spl0_216
| ~ spl0_182
| ~ spl0_188 ),
inference(avatar_split_clause,[],[f1801,f1797,f1721,f2169]) ).
fof(f2169,plain,
( spl0_216
<=> duplicatefreeP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f1797,plain,
( spl0_188
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1801,plain,
( duplicatefreeP(sk5)
| ~ spl0_182
| ~ spl0_188 ),
inference(forward_demodulation,[],[f1799,f1723]) ).
fof(f1799,plain,
( duplicatefreeP(sk3)
| ~ spl0_188 ),
inference(avatar_component_clause,[],[f1797]) ).
fof(f2167,plain,
( spl0_215
| ~ spl0_2
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1730,f1721,f241,f2164]) ).
fof(f2164,plain,
( spl0_215
<=> equalelemsP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f241,plain,
( spl0_2
<=> equalelemsP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f1730,plain,
( equalelemsP(sk5)
| ~ spl0_2
| ~ spl0_182 ),
inference(superposition,[],[f243,f1723]) ).
fof(f243,plain,
( equalelemsP(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f241]) ).
fof(f2161,plain,
( ~ spl0_214
| ~ spl0_8
| ~ spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f1290,f334,f279,f270,f2158]) ).
fof(f2158,plain,
( spl0_214
<=> singletonP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f334,plain,
( spl0_21
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f1290,plain,
( ~ singletonP(sk4)
| ~ spl0_8
| ~ spl0_10
| spl0_21 ),
inference(forward_demodulation,[],[f1260,f271]) ).
fof(f271,plain,
( sk3 = sk4
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f1260,plain,
( ~ singletonP(sk3)
| ~ spl0_10
| spl0_21 ),
inference(superposition,[],[f336,f280]) ).
fof(f336,plain,
( ~ singletonP(nil)
| spl0_21 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f2155,plain,
( spl0_213
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1289,f314,f279,f270,f2152]) ).
fof(f2152,plain,
( spl0_213
<=> cyclefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f314,plain,
( spl0_17
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f1289,plain,
( cyclefreeP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f1258,f271]) ).
fof(f1258,plain,
( cyclefreeP(sk3)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f316,f280]) ).
fof(f316,plain,
( cyclefreeP(nil)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f314]) ).
fof(f2149,plain,
( spl0_212
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1288,f309,f279,f270,f2146]) ).
fof(f2146,plain,
( spl0_212
<=> totalorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f309,plain,
( spl0_16
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f1288,plain,
( totalorderP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_16 ),
inference(forward_demodulation,[],[f1257,f271]) ).
fof(f1257,plain,
( totalorderP(sk3)
| ~ spl0_10
| ~ spl0_16 ),
inference(superposition,[],[f311,f280]) ).
fof(f311,plain,
( totalorderP(nil)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f2143,plain,
( spl0_211
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1287,f304,f279,f270,f2140]) ).
fof(f2140,plain,
( spl0_211
<=> strictorderP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f304,plain,
( spl0_15
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1287,plain,
( strictorderP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_15 ),
inference(forward_demodulation,[],[f1256,f271]) ).
fof(f1256,plain,
( strictorderP(sk3)
| ~ spl0_10
| ~ spl0_15 ),
inference(superposition,[],[f306,f280]) ).
fof(f306,plain,
( strictorderP(nil)
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f2137,plain,
( spl0_210
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1286,f299,f279,f270,f2134]) ).
fof(f2134,plain,
( spl0_210
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f299,plain,
( spl0_14
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1286,plain,
( totalorderedP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f1255,f271]) ).
fof(f1255,plain,
( totalorderedP(sk3)
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f301,f280]) ).
fof(f301,plain,
( totalorderedP(nil)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f2131,plain,
( spl0_209
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1285,f294,f279,f270,f2128]) ).
fof(f2128,plain,
( spl0_209
<=> strictorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f294,plain,
( spl0_13
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f1285,plain,
( strictorderedP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1254,f271]) ).
fof(f1254,plain,
( strictorderedP(sk3)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f296,f280]) ).
fof(f296,plain,
( strictorderedP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f2125,plain,
( spl0_208
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1284,f289,f279,f270,f2122]) ).
fof(f2122,plain,
( spl0_208
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f289,plain,
( spl0_12
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1284,plain,
( duplicatefreeP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1253,f271]) ).
fof(f1253,plain,
( duplicatefreeP(sk3)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f291,f280]) ).
fof(f291,plain,
( duplicatefreeP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f2119,plain,
( ~ spl0_207
| ~ spl0_10
| spl0_21 ),
inference(avatar_split_clause,[],[f1260,f334,f279,f2116]) ).
fof(f2113,plain,
( spl0_206
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f1258,f314,f279,f2110]) ).
fof(f2107,plain,
( spl0_205
| ~ spl0_10
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f1257,f309,f279,f2104]) ).
fof(f2101,plain,
( spl0_204
| ~ spl0_10
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f1256,f304,f279,f2098]) ).
fof(f2093,plain,
spl0_203,
inference(avatar_split_clause,[],[f226,f2091]) ).
fof(f2091,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/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f2089,plain,
spl0_202,
inference(avatar_split_clause,[],[f225,f2087]) ).
fof(f2087,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/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f2085,plain,
spl0_201,
inference(avatar_split_clause,[],[f224,f2083]) ).
fof(f2083,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/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f2079,plain,
( spl0_200
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1255,f299,f279,f2076]) ).
fof(f2073,plain,
spl0_199,
inference(avatar_split_clause,[],[f223,f2071]) ).
fof(f2071,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/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f2069,plain,
spl0_198,
inference(avatar_split_clause,[],[f222,f2067]) ).
fof(f2067,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/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f2064,plain,
spl0_197,
inference(avatar_split_clause,[],[f219,f2062]) ).
fof(f2062,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/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f2058,plain,
spl0_196,
inference(avatar_split_clause,[],[f221,f2056]) ).
fof(f2056,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/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f2052,plain,
( spl0_195
| ~ spl0_10
| ~ spl0_182
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f2048,f2042,f1721,f279,f2050]) ).
fof(f2050,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(f2042,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(f2048,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,[],[f2047,f1723]) ).
fof(f2047,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,[],[f2046,f280]) ).
fof(f2046,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,[],[f2045,f1723]) ).
fof(f2045,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,[],[f2043,f280]) ).
fof(f2043,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,[],[f2042]) ).
fof(f2044,plain,
spl0_194,
inference(avatar_split_clause,[],[f177,f2042]) ).
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/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f2039,plain,
( spl0_193
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1254,f294,f279,f2036]) ).
fof(f1817,plain,
spl0_192,
inference(avatar_split_clause,[],[f167,f1815]) ).
fof(f1815,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/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f1813,plain,
spl0_191,
inference(avatar_split_clause,[],[f166,f1811]) ).
fof(f1811,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/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f1809,plain,
spl0_190,
inference(avatar_split_clause,[],[f165,f1807]) ).
fof(f1807,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/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f1805,plain,
spl0_189,
inference(avatar_split_clause,[],[f164,f1803]) ).
fof(f1803,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/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f1800,plain,
( spl0_188
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1253,f289,f279,f1797]) ).
fof(f1795,plain,
spl0_187,
inference(avatar_split_clause,[],[f163,f1793]) ).
fof(f1793,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/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f1791,plain,
spl0_186,
inference(avatar_split_clause,[],[f162,f1789]) ).
fof(f1789,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/sandbox2/benchmark/theBenchmark.p',clause162) ).
fof(f1750,plain,
( spl0_185
| ~ spl0_182
| ~ spl0_184 ),
inference(avatar_split_clause,[],[f1746,f1743,f1721,f1748]) ).
fof(f1748,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(f1743,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(f1746,plain,
( ! [X0,X1] :
( sk5 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_182
| ~ spl0_184 ),
inference(forward_demodulation,[],[f1744,f1723]) ).
fof(f1744,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_184 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1745,plain,
( spl0_184
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1334,f1331,f279,f1743]) ).
fof(f1331,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(f1334,plain,
( ! [X0,X1] :
( sk3 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_10
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1332,f280]) ).
fof(f1332,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_159 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1729,plain,
( spl0_183
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1687,f849,f279,f270,f261,f256,f1726]) ).
fof(f1726,plain,
( spl0_183
<=> frontsegP(sk5,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f256,plain,
( spl0_5
<=> sk4 = app(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f261,plain,
( spl0_6
<=> frontsegP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f849,plain,
( spl0_125
<=> sk5 = app(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1687,plain,
( frontsegP(sk5,sk5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1686,f1677]) ).
fof(f1677,plain,
( sk4 = sk5
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1243,f1317]) ).
fof(f1317,plain,
( sk5 = app(sk4,sk5)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f1282,f271]) ).
fof(f1282,plain,
( sk5 = app(sk3,sk5)
| ~ spl0_10
| ~ spl0_125 ),
inference(superposition,[],[f851,f280]) ).
fof(f851,plain,
( sk5 = app(nil,sk5)
| ~ spl0_125 ),
inference(avatar_component_clause,[],[f849]) ).
fof(f1243,plain,
( sk4 = app(sk4,sk5)
| ~ spl0_5
| ~ spl0_8 ),
inference(superposition,[],[f258,f271]) ).
fof(f258,plain,
( sk4 = app(sk3,sk5)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f1686,plain,
( frontsegP(sk4,sk5)
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f262,f1678]) ).
fof(f1678,plain,
( sk3 = sk5
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(forward_demodulation,[],[f271,f1677]) ).
fof(f262,plain,
( frontsegP(sk4,sk3)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f1724,plain,
( spl0_182
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_125 ),
inference(avatar_split_clause,[],[f1678,f849,f279,f270,f256,f1721]) ).
fof(f1676,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_3
| spl0_6
| ~ spl0_5
| ~ spl0_140 ),
inference(avatar_split_clause,[],[f1037,f994,f256,f261,f246,f251,f236]) ).
fof(f236,plain,
( spl0_1
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f251,plain,
( spl0_4
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f246,plain,
( spl0_3
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f994,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(f1037,plain,
( frontsegP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ spl0_5
| ~ spl0_140 ),
inference(superposition,[],[f995,f258]) ).
fof(f995,plain,
( ! [X0,X1] :
( frontsegP(app(X0,X1),X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_140 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f1658,plain,
spl0_181,
inference(avatar_split_clause,[],[f218,f1656]) ).
fof(f1656,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/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f1654,plain,
spl0_180,
inference(avatar_split_clause,[],[f217,f1652]) ).
fof(f1652,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/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f1609,plain,
spl0_179,
inference(avatar_split_clause,[],[f176,f1607]) ).
fof(f1607,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/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f1605,plain,
spl0_178,
inference(avatar_split_clause,[],[f174,f1603]) ).
fof(f1603,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/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f1601,plain,
spl0_177,
inference(avatar_split_clause,[],[f172,f1599]) ).
fof(f1599,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/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f1597,plain,
spl0_176,
inference(avatar_split_clause,[],[f171,f1595]) ).
fof(f1595,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/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f1593,plain,
spl0_175,
inference(avatar_split_clause,[],[f170,f1591]) ).
fof(f1591,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/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f1589,plain,
spl0_174,
inference(avatar_split_clause,[],[f169,f1587]) ).
fof(f1587,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/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f1585,plain,
spl0_173,
inference(avatar_split_clause,[],[f168,f1583]) ).
fof(f1583,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/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f1577,plain,
( ~ spl0_4
| ~ spl0_1
| ~ spl0_3
| spl0_172
| ~ spl0_5
| ~ spl0_139 ),
inference(avatar_split_clause,[],[f1028,f990,f256,f1574,f246,f236,f251]) ).
fof(f1574,plain,
( spl0_172
<=> rearsegP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f990,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(f1028,plain,
( rearsegP(sk4,sk5)
| ~ ssList(sk4)
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ spl0_5
| ~ spl0_139 ),
inference(superposition,[],[f991,f258]) ).
fof(f991,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_139 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f1490,plain,
spl0_171,
inference(avatar_split_clause,[],[f161,f1488]) ).
fof(f1488,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/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f1486,plain,
spl0_170,
inference(avatar_split_clause,[],[f160,f1484]) ).
fof(f1484,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/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f1482,plain,
spl0_169,
inference(avatar_split_clause,[],[f159,f1480]) ).
fof(f1480,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/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f1478,plain,
spl0_168,
inference(avatar_split_clause,[],[f158,f1476]) ).
fof(f1476,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/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f1474,plain,
spl0_167,
inference(avatar_split_clause,[],[f157,f1472]) ).
fof(f1472,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/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f1470,plain,
spl0_166,
inference(avatar_split_clause,[],[f149,f1468]) ).
fof(f1468,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/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f1466,plain,
spl0_165,
inference(avatar_split_clause,[],[f142,f1464]) ).
fof(f1464,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/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f1393,plain,
spl0_164,
inference(avatar_split_clause,[],[f227,f1391]) ).
fof(f1391,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/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f1389,plain,
( spl0_163
| ~ spl0_2
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1241,f270,f241,f1386]) ).
fof(f1386,plain,
( spl0_163
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1241,plain,
( equalelemsP(sk4)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f243,f271]) ).
fof(f1384,plain,
spl0_162,
inference(avatar_split_clause,[],[f151,f1382]) ).
fof(f1382,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/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f1380,plain,
spl0_161,
inference(avatar_split_clause,[],[f150,f1378]) ).
fof(f1378,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/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f1339,plain,
( spl0_160
| ~ spl0_8
| ~ spl0_10
| ~ spl0_159 ),
inference(avatar_split_clause,[],[f1335,f1331,f279,f270,f1337]) ).
fof(f1337,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(f1335,plain,
( ! [X0,X1] :
( sk4 = X1
| ~ ssList(X0)
| ~ ssList(X1)
| tl(app(X1,X0)) = app(tl(X1),X0) )
| ~ spl0_8
| ~ spl0_10
| ~ spl0_159 ),
inference(forward_demodulation,[],[f1334,f271]) ).
fof(f1333,plain,
spl0_159,
inference(avatar_split_clause,[],[f133,f1331]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f1240,plain,
( ~ spl0_4
| spl0_10
| ~ spl0_18
| spl0_7
| ~ spl0_113 ),
inference(avatar_split_clause,[],[f838,f788,f265,f319,f279,f251]) ).
fof(f319,plain,
( spl0_18
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f265,plain,
( spl0_7
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f788,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f838,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl0_7
| ~ spl0_113 ),
inference(resolution,[],[f789,f267]) ).
fof(f267,plain,
( ~ neq(sk3,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f789,plain,
( ! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) )
| ~ spl0_113 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f1221,plain,
spl0_158,
inference(avatar_split_clause,[],[f156,f1219]) ).
fof(f1219,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/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f1217,plain,
spl0_157,
inference(avatar_split_clause,[],[f155,f1215]) ).
fof(f1215,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/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f1213,plain,
spl0_156,
inference(avatar_split_clause,[],[f154,f1211]) ).
fof(f1211,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/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f1198,plain,
spl0_155,
inference(avatar_split_clause,[],[f153,f1196]) ).
fof(f1196,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/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f1194,plain,
spl0_154,
inference(avatar_split_clause,[],[f152,f1192]) ).
fof(f1192,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/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f1190,plain,
spl0_153,
inference(avatar_split_clause,[],[f148,f1188]) ).
fof(f1188,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/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f1186,plain,
spl0_152,
inference(avatar_split_clause,[],[f147,f1184]) ).
fof(f1184,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/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f1182,plain,
spl0_151,
inference(avatar_split_clause,[],[f146,f1180]) ).
fof(f1180,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/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f1178,plain,
spl0_150,
inference(avatar_split_clause,[],[f135,f1176]) ).
fof(f1176,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/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f1174,plain,
spl0_149,
inference(avatar_split_clause,[],[f134,f1172]) ).
fof(f1172,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/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f1083,plain,
spl0_148,
inference(avatar_split_clause,[],[f141,f1081]) ).
fof(f1081,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/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f1079,plain,
spl0_147,
inference(avatar_split_clause,[],[f140,f1077]) ).
fof(f1077,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/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f1075,plain,
spl0_146,
inference(avatar_split_clause,[],[f139,f1073]) ).
fof(f1073,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/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f1071,plain,
spl0_145,
inference(avatar_split_clause,[],[f137,f1069]) ).
fof(f1069,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/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f1067,plain,
spl0_144,
inference(avatar_split_clause,[],[f136,f1065]) ).
fof(f1065,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/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f1056,plain,
spl0_143,
inference(avatar_split_clause,[],[f132,f1054]) ).
fof(f1054,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/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f1052,plain,
spl0_142,
inference(avatar_split_clause,[],[f131,f1050]) ).
fof(f1050,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/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f1048,plain,
spl0_141,
inference(avatar_split_clause,[],[f123,f1046]) ).
fof(f1046,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/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f996,plain,
spl0_140,
inference(avatar_split_clause,[],[f214,f994]) ).
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/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f992,plain,
spl0_139,
inference(avatar_split_clause,[],[f213,f990]) ).
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/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f988,plain,
spl0_138,
inference(avatar_split_clause,[],[f130,f986]) ).
fof(f986,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/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f984,plain,
spl0_137,
inference(avatar_split_clause,[],[f129,f982]) ).
fof(f982,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/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f980,plain,
spl0_136,
inference(avatar_split_clause,[],[f128,f978]) ).
fof(f978,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/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f976,plain,
spl0_135,
inference(avatar_split_clause,[],[f127,f974]) ).
fof(f974,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/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f969,plain,
spl0_134,
inference(avatar_split_clause,[],[f126,f967]) ).
fof(f967,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/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f965,plain,
spl0_133,
inference(avatar_split_clause,[],[f125,f963]) ).
fof(f963,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/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f961,plain,
spl0_132,
inference(avatar_split_clause,[],[f124,f959]) ).
fof(f959,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/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f957,plain,
spl0_131,
inference(avatar_split_clause,[],[f121,f955]) ).
fof(f955,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/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f953,plain,
spl0_130,
inference(avatar_split_clause,[],[f120,f951]) ).
fof(f951,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/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f877,plain,
spl0_129,
inference(avatar_split_clause,[],[f119,f875]) ).
fof(f875,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/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f872,plain,
spl0_128,
inference(avatar_split_clause,[],[f118,f870]) ).
fof(f870,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/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f868,plain,
spl0_127,
inference(avatar_split_clause,[],[f109,f866]) ).
fof(f866,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/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f864,plain,
spl0_126,
inference(avatar_split_clause,[],[f104,f862]) ).
fof(f862,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/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f852,plain,
( spl0_125
| ~ spl0_1
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f667,f603,f236,f849]) ).
fof(f603,plain,
( spl0_88
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f667,plain,
( sk5 = app(nil,sk5)
| ~ spl0_1
| ~ spl0_88 ),
inference(resolution,[],[f604,f238]) ).
fof(f238,plain,
( ssList(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f236]) ).
fof(f604,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f835,plain,
spl0_124,
inference(avatar_split_clause,[],[f208,f833]) ).
fof(f833,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/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f831,plain,
spl0_123,
inference(avatar_split_clause,[],[f114,f829]) ).
fof(f829,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/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f827,plain,
spl0_122,
inference(avatar_split_clause,[],[f110,f825]) ).
fof(f825,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/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f823,plain,
spl0_121,
inference(avatar_split_clause,[],[f108,f821]) ).
fof(f821,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/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f819,plain,
( spl0_120
| ~ spl0_3
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f666,f603,f246,f816]) ).
fof(f816,plain,
( spl0_120
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f666,plain,
( sk4 = app(nil,sk4)
| ~ spl0_3
| ~ spl0_88 ),
inference(resolution,[],[f604,f248]) ).
fof(f248,plain,
( ssList(sk4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f814,plain,
spl0_119,
inference(avatar_split_clause,[],[f107,f812]) ).
fof(f812,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/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f810,plain,
spl0_118,
inference(avatar_split_clause,[],[f106,f808]) ).
fof(f808,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/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f806,plain,
spl0_117,
inference(avatar_split_clause,[],[f105,f804]) ).
fof(f804,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/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f802,plain,
spl0_116,
inference(avatar_split_clause,[],[f103,f800]) ).
fof(f800,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/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f798,plain,
spl0_115,
inference(avatar_split_clause,[],[f102,f796]) ).
fof(f796,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/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f794,plain,
spl0_114,
inference(avatar_split_clause,[],[f101,f792]) ).
fof(f792,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/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f790,plain,
spl0_113,
inference(avatar_split_clause,[],[f100,f788]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f786,plain,
spl0_112,
inference(avatar_split_clause,[],[f97,f784]) ).
fof(f784,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/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f782,plain,
spl0_111,
inference(avatar_split_clause,[],[f96,f780]) ).
fof(f780,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/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f778,plain,
( spl0_110
| ~ spl0_4
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f665,f603,f251,f775]) ).
fof(f775,plain,
( spl0_110
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f665,plain,
( sk3 = app(nil,sk3)
| ~ spl0_4
| ~ spl0_88 ),
inference(resolution,[],[f604,f253]) ).
fof(f253,plain,
( ssList(sk3)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f773,plain,
( spl0_109
| ~ spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f636,f599,f236,f770]) ).
fof(f770,plain,
( spl0_109
<=> sk5 = app(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f599,plain,
( spl0_87
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f636,plain,
( sk5 = app(sk5,nil)
| ~ spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f600,f238]) ).
fof(f600,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f768,plain,
spl0_108,
inference(avatar_split_clause,[],[f229,f766]) ).
fof(f766,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/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f764,plain,
spl0_107,
inference(avatar_split_clause,[],[f99,f762]) ).
fof(f762,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/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f760,plain,
spl0_106,
inference(avatar_split_clause,[],[f98,f758]) ).
fof(f758,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/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f756,plain,
spl0_105,
inference(avatar_split_clause,[],[f95,f754]) ).
fof(f754,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/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f752,plain,
spl0_104,
inference(avatar_split_clause,[],[f94,f750]) ).
fof(f750,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/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f748,plain,
spl0_103,
inference(avatar_split_clause,[],[f93,f746]) ).
fof(f746,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/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f744,plain,
spl0_102,
inference(avatar_split_clause,[],[f92,f742]) ).
fof(f742,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/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f740,plain,
spl0_101,
inference(avatar_split_clause,[],[f91,f738]) ).
fof(f738,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/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f736,plain,
spl0_100,
inference(avatar_split_clause,[],[f90,f734]) ).
fof(f734,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/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f732,plain,
( spl0_99
| ~ spl0_3
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f635,f599,f246,f729]) ).
fof(f729,plain,
( spl0_99
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f635,plain,
( sk4 = app(sk4,nil)
| ~ spl0_3
| ~ spl0_87 ),
inference(resolution,[],[f600,f248]) ).
fof(f727,plain,
spl0_98,
inference(avatar_split_clause,[],[f89,f725]) ).
fof(f725,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/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f723,plain,
spl0_97,
inference(avatar_split_clause,[],[f88,f721]) ).
fof(f721,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/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f719,plain,
spl0_96,
inference(avatar_split_clause,[],[f87,f717]) ).
fof(f717,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/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f696,plain,
spl0_95,
inference(avatar_split_clause,[],[f86,f694]) ).
fof(f694,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/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f692,plain,
( spl0_94
| ~ spl0_4
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f634,f599,f251,f689]) ).
fof(f689,plain,
( spl0_94
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f634,plain,
( sk3 = app(sk3,nil)
| ~ spl0_4
| ~ spl0_87 ),
inference(resolution,[],[f600,f253]) ).
fof(f687,plain,
spl0_93,
inference(avatar_split_clause,[],[f85,f685]) ).
fof(f685,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/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f683,plain,
spl0_92,
inference(avatar_split_clause,[],[f84,f681]) ).
fof(f681,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/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f679,plain,
spl0_91,
inference(avatar_split_clause,[],[f82,f677]) ).
fof(f677,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/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f675,plain,
spl0_90,
inference(avatar_split_clause,[],[f80,f673]) ).
fof(f673,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/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f671,plain,
spl0_89,
inference(avatar_split_clause,[],[f75,f669]) ).
fof(f669,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/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f605,plain,
spl0_88,
inference(avatar_split_clause,[],[f74,f603]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f601,plain,
spl0_87,
inference(avatar_split_clause,[],[f73,f599]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f597,plain,
( spl0_85
| spl0_86 ),
inference(avatar_split_clause,[],[f72,f595,f592]) ).
fof(f592,plain,
( spl0_85
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f595,plain,
( spl0_86
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f590,plain,
spl0_84,
inference(avatar_split_clause,[],[f70,f588]) ).
fof(f588,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f586,plain,
spl0_83,
inference(avatar_split_clause,[],[f69,f584]) ).
fof(f584,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f582,plain,
spl0_82,
inference(avatar_split_clause,[],[f68,f580]) ).
fof(f580,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f578,plain,
spl0_81,
inference(avatar_split_clause,[],[f67,f576]) ).
fof(f576,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f574,plain,
spl0_80,
inference(avatar_split_clause,[],[f66,f572]) ).
fof(f572,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f570,plain,
spl0_79,
inference(avatar_split_clause,[],[f65,f568]) ).
fof(f568,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f566,plain,
spl0_78,
inference(avatar_split_clause,[],[f64,f564]) ).
fof(f564,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f562,plain,
spl0_77,
inference(avatar_split_clause,[],[f232,f560]) ).
fof(f560,plain,
( spl0_77
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
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/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f558,plain,
spl0_76,
inference(avatar_split_clause,[],[f230,f556]) ).
fof(f556,plain,
( spl0_76
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
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/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f554,plain,
spl0_75,
inference(avatar_split_clause,[],[f71,f552]) ).
fof(f552,plain,
( spl0_75
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f550,plain,
spl0_74,
inference(avatar_split_clause,[],[f63,f548]) ).
fof(f548,plain,
( spl0_74
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f546,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f544]) ).
fof(f544,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f542,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f540]) ).
fof(f540,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f538,plain,
spl0_71,
inference(avatar_split_clause,[],[f60,f536]) ).
fof(f536,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f534,plain,
spl0_70,
inference(avatar_split_clause,[],[f59,f532]) ).
fof(f532,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f530,plain,
spl0_69,
inference(avatar_split_clause,[],[f58,f528]) ).
fof(f528,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f526,plain,
spl0_68,
inference(avatar_split_clause,[],[f57,f524]) ).
fof(f524,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f522,plain,
spl0_67,
inference(avatar_split_clause,[],[f56,f520]) ).
fof(f520,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f518,plain,
spl0_66,
inference(avatar_split_clause,[],[f55,f516]) ).
fof(f516,plain,
( spl0_66
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f514,plain,
spl0_65,
inference(avatar_split_clause,[],[f195,f512]) ).
fof(f512,plain,
( spl0_65
<=> ! [X6,X8,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X8,cons(X6,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f195,axiom,
! [X8,X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssList(X7)
| sk5 != app(cons(X6,nil),X7)
| sk3 != app(X8,cons(X6,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f510,plain,
spl0_64,
inference(avatar_split_clause,[],[f53,f508]) ).
fof(f508,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/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f506,plain,
spl0_63,
inference(avatar_split_clause,[],[f52,f504]) ).
fof(f504,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/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f502,plain,
spl0_62,
inference(avatar_split_clause,[],[f51,f500]) ).
fof(f500,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/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f498,plain,
spl0_61,
inference(avatar_split_clause,[],[f50,f496]) ).
fof(f496,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/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f494,plain,
spl0_60,
inference(avatar_split_clause,[],[f49,f492]) ).
fof(f492,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/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f490,plain,
spl0_59,
inference(avatar_split_clause,[],[f48,f488]) ).
fof(f488,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/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f486,plain,
~ spl0_58,
inference(avatar_split_clause,[],[f54,f483]) ).
fof(f483,plain,
( spl0_58
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f481,plain,
spl0_57,
inference(avatar_split_clause,[],[f47,f479]) ).
fof(f479,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/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f477,plain,
spl0_56,
inference(avatar_split_clause,[],[f46,f475]) ).
fof(f475,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/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f473,plain,
spl0_55,
inference(avatar_split_clause,[],[f45,f471]) ).
fof(f471,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/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f469,plain,
spl0_54,
inference(avatar_split_clause,[],[f44,f467]) ).
fof(f467,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/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f465,plain,
spl0_53,
inference(avatar_split_clause,[],[f43,f463]) ).
fof(f463,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/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f461,plain,
spl0_52,
inference(avatar_split_clause,[],[f42,f459]) ).
fof(f459,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/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f457,plain,
spl0_51,
inference(avatar_split_clause,[],[f41,f455]) ).
fof(f455,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/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f453,plain,
spl0_50,
inference(avatar_split_clause,[],[f40,f451]) ).
fof(f451,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/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f449,plain,
spl0_49,
inference(avatar_split_clause,[],[f39,f447]) ).
fof(f447,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/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f445,plain,
spl0_48,
inference(avatar_split_clause,[],[f38,f443]) ).
fof(f443,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/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f441,plain,
spl0_47,
inference(avatar_split_clause,[],[f37,f439]) ).
fof(f439,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/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f437,plain,
spl0_46,
inference(avatar_split_clause,[],[f36,f435]) ).
fof(f435,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/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f433,plain,
spl0_45,
inference(avatar_split_clause,[],[f35,f431]) ).
fof(f431,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/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f429,plain,
spl0_44,
inference(avatar_split_clause,[],[f34,f427]) ).
fof(f427,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/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f425,plain,
spl0_43,
inference(avatar_split_clause,[],[f33,f423]) ).
fof(f423,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/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f421,plain,
spl0_42,
inference(avatar_split_clause,[],[f32,f419]) ).
fof(f419,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/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f417,plain,
spl0_41,
inference(avatar_split_clause,[],[f31,f415]) ).
fof(f415,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/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f413,plain,
spl0_40,
inference(avatar_split_clause,[],[f30,f411]) ).
fof(f411,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/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f409,plain,
spl0_39,
inference(avatar_split_clause,[],[f29,f407]) ).
fof(f407,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/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f405,plain,
spl0_38,
inference(avatar_split_clause,[],[f28,f403]) ).
fof(f403,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/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f401,plain,
spl0_37,
inference(avatar_split_clause,[],[f27,f399]) ).
fof(f399,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/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f397,plain,
spl0_36,
inference(avatar_split_clause,[],[f26,f395]) ).
fof(f395,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/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f393,plain,
spl0_35,
inference(avatar_split_clause,[],[f25,f391]) ).
fof(f391,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/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f389,plain,
spl0_34,
inference(avatar_split_clause,[],[f24,f387]) ).
fof(f387,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/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f385,plain,
spl0_33,
inference(avatar_split_clause,[],[f23,f383]) ).
fof(f383,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/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f381,plain,
spl0_32,
inference(avatar_split_clause,[],[f22,f379]) ).
fof(f379,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/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f377,plain,
spl0_31,
inference(avatar_split_clause,[],[f21,f375]) ).
fof(f375,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/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f373,plain,
spl0_30,
inference(avatar_split_clause,[],[f20,f371]) ).
fof(f371,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/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f369,plain,
spl0_29,
inference(avatar_split_clause,[],[f19,f367]) ).
fof(f367,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/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f365,plain,
spl0_28,
inference(avatar_split_clause,[],[f18,f363]) ).
fof(f363,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/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f361,plain,
spl0_27,
inference(avatar_split_clause,[],[f17,f359]) ).
fof(f359,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/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f357,plain,
spl0_26,
inference(avatar_split_clause,[],[f16,f355]) ).
fof(f355,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/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f353,plain,
spl0_25,
inference(avatar_split_clause,[],[f15,f351]) ).
fof(f351,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/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f349,plain,
spl0_24,
inference(avatar_split_clause,[],[f14,f347]) ).
fof(f347,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/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f345,plain,
spl0_23,
inference(avatar_split_clause,[],[f13,f343]) ).
fof(f343,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/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f341,plain,
spl0_22,
inference(avatar_split_clause,[],[f12,f339]) ).
fof(f339,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/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f337,plain,
~ spl0_21,
inference(avatar_split_clause,[],[f11,f334]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f332,plain,
spl0_20,
inference(avatar_split_clause,[],[f10,f329]) ).
fof(f329,plain,
( spl0_20
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f327,plain,
spl0_19,
inference(avatar_split_clause,[],[f9,f324]) ).
fof(f324,plain,
( spl0_19
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f322,plain,
spl0_18,
inference(avatar_split_clause,[],[f8,f319]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f317,plain,
spl0_17,
inference(avatar_split_clause,[],[f7,f314]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f312,plain,
spl0_16,
inference(avatar_split_clause,[],[f6,f309]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f307,plain,
spl0_15,
inference(avatar_split_clause,[],[f5,f304]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f302,plain,
spl0_14,
inference(avatar_split_clause,[],[f4,f299]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f297,plain,
spl0_13,
inference(avatar_split_clause,[],[f3,f294]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f292,plain,
spl0_12,
inference(avatar_split_clause,[],[f2,f289]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f287,plain,
spl0_11,
inference(avatar_split_clause,[],[f1,f284]) ).
fof(f284,plain,
( spl0_11
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f282,plain,
( spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f234,f279,f270]) ).
fof(f234,plain,
( nil != sk3
| sk3 = sk4 ),
inference(inner_rewriting,[],[f196]) ).
fof(f196,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f277,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f233,f274,f270]) ).
fof(f233,plain,
( nil != sk4
| sk3 != sk4 ),
inference(inner_rewriting,[],[f201]) ).
fof(f201,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f197,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f197,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f268,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f202,f265,f261]) ).
fof(f202,plain,
( ~ neq(sk3,nil)
| ~ frontsegP(sk4,sk3) ),
inference(definition_unfolding,[],[f198,f191,f190,f191]) ).
fof(f198,axiom,
( ~ neq(sk1,nil)
| ~ frontsegP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f259,plain,
spl0_5,
inference(avatar_split_clause,[],[f193,f256]) ).
fof(f193,axiom,
sk4 = app(sk3,sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f254,plain,
spl0_4,
inference(avatar_split_clause,[],[f200,f251]) ).
fof(f200,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f249,plain,
spl0_3,
inference(avatar_split_clause,[],[f199,f246]) ).
fof(f199,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f244,plain,
spl0_2,
inference(avatar_split_clause,[],[f194,f241]) ).
fof(f194,axiom,
equalelemsP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f239,plain,
spl0_1,
inference(avatar_split_clause,[],[f192,f236]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC101-1 : TPTP v8.2.0. Released v2.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 03:17:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (21957)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (21960)WARNING: value z3 for option sas not known
% 0.15/0.38 % (21959)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (21961)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (21958)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (21963)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)
% 0.15/0.38 % (21962)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)
% 0.15/0.38 % (21964)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)
% 0.15/0.38 % (21960)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.41 TRYING [1]
% 0.15/0.41 TRYING [2]
% 0.21/0.43 TRYING [3]
% 0.21/0.43 % (21962)First to succeed.
% 0.21/0.44 TRYING [1]
% 0.21/0.44 % (21962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21957"
% 0.21/0.44 TRYING [2]
% 0.21/0.45 % (21963)Also succeeded, but the first one will report.
% 0.21/0.45 % (21962)Refutation found. Thanks to Tanya!
% 0.21/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (21962)------------------------------
% 0.21/0.45 % (21962)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (21962)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (21962)Memory used [KB]: 2280
% 0.21/0.45 % (21962)Time elapsed: 0.067 s
% 0.21/0.45 % (21962)Instructions burned: 111 (million)
% 0.21/0.45 % (21957)Success in time 0.096 s
%------------------------------------------------------------------------------