TSTP Solution File: SWC118-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC118-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 15:54:21 EDT 2024
% Result : Unsatisfiable 0.17s 0.43s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 406
% Syntax : Number of formulae : 725 ( 246 unt; 0 def)
% Number of atoms : 2109 ( 279 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2495 (1111 ~;1165 |; 0 &)
% ( 219 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 240 ( 238 usr; 220 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 702 ( 702 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2684,plain,
$false,
inference(avatar_sat_refutation,[],[f241,f246,f251,f256,f261,f270,f279,f284,f289,f294,f299,f304,f309,f314,f319,f324,f329,f334,f339,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f432,f436,f440,f444,f448,f452,f456,f460,f464,f468,f472,f476,f480,f484,f488,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f565,f569,f573,f577,f581,f585,f589,f593,f600,f604,f608,f612,f616,f684,f689,f693,f697,f701,f705,f709,f731,f737,f741,f745,f749,f753,f757,f761,f765,f769,f774,f778,f782,f786,f791,f795,f799,f803,f807,f811,f816,f820,f824,f828,f832,f836,f840,f844,f848,f855,f876,f882,f886,f890,f894,f970,f975,f979,f983,f987,f991,f995,f999,f1003,f1007,f1011,f1015,f1066,f1070,f1074,f1078,f1082,f1086,f1090,f1094,f1178,f1182,f1186,f1201,f1205,f1209,f1213,f1217,f1221,f1225,f1270,f1274,f1278,f1293,f1367,f1371,f1375,f1379,f1383,f1402,f1406,f1499,f1519,f1523,f1527,f1531,f1535,f1539,f1557,f1702,f1706,f1739,f1744,f1748,f1752,f1756,f1760,f1764,f1958,f2000,f2008,f2014,f2020,f2025,f2029,f2034,f2059,f2067,f2071,f2075,f2083,f2089,f2113,f2157,f2158,f2189,f2194,f2245,f2251,f2256,f2301,f2345,f2347,f2393,f2438,f2443,f2492,f2494,f2511,f2541,f2683]) ).
fof(f2683,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2544,f281,f272,f276]) ).
fof(f276,plain,
( spl0_9
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f272,plain,
( spl0_8
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f281,plain,
( spl0_10
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2544,plain,
( nil = sk4
| ~ spl0_8
| ~ spl0_10 ),
inference(forward_demodulation,[],[f282,f273]) ).
fof(f273,plain,
( sk3 = sk4
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f282,plain,
( nil = sk3
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f2541,plain,
( spl0_208
| ~ spl0_10
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2519,f2154,f281,f2191]) ).
fof(f2191,plain,
( spl0_208
<=> sk3 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f2154,plain,
( spl0_206
<=> nil = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f2519,plain,
( sk3 = sk5
| ~ spl0_10
| ~ spl0_206 ),
inference(forward_demodulation,[],[f282,f2156]) ).
fof(f2156,plain,
( nil = sk5
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f2154]) ).
fof(f2511,plain,
( ~ spl0_2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_4
| spl0_6
| ~ spl0_11
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1723,f1704,f286,f263,f253,f258,f238,f243]) ).
fof(f243,plain,
( spl0_2
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f238,plain,
( spl0_1
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f258,plain,
( spl0_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f253,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f263,plain,
( spl0_6
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f286,plain,
( spl0_11
<=> sk4 = app(app(sk5,sk3),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1704,plain,
( spl0_182
<=> ! [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_182])]) ).
fof(f1723,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_11
| ~ spl0_182 ),
inference(superposition,[],[f1705,f288]) ).
fof(f288,plain,
( sk4 = app(app(sk5,sk3),sk6)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f1705,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1704]) ).
fof(f2494,plain,
( ~ spl0_5
| ~ spl0_118
| ~ spl0_206
| spl0_218 ),
inference(avatar_split_clause,[],[f2493,f2485,f2154,f813,f258]) ).
fof(f813,plain,
( spl0_118
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f2485,plain,
( spl0_218
<=> ssList(app(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2493,plain,
( ~ ssList(sk3)
| ~ spl0_118
| ~ spl0_206
| spl0_218 ),
inference(forward_demodulation,[],[f2487,f2231]) ).
fof(f2231,plain,
( sk3 = app(sk5,sk3)
| ~ spl0_118
| ~ spl0_206 ),
inference(superposition,[],[f815,f2156]) ).
fof(f815,plain,
( sk3 = app(nil,sk3)
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f2487,plain,
( ~ ssList(app(sk5,sk3))
| spl0_218 ),
inference(avatar_component_clause,[],[f2485]) ).
fof(f2492,plain,
( ~ spl0_218
| ~ spl0_2
| ~ spl0_4
| spl0_219
| ~ spl0_11
| ~ spl0_143 ),
inference(avatar_split_clause,[],[f1047,f1009,f286,f2489,f253,f243,f2485]) ).
fof(f2489,plain,
( spl0_219
<=> rearsegP(sk4,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f1009,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1047,plain,
( rearsegP(sk4,sk6)
| ~ ssList(sk4)
| ~ ssList(sk6)
| ~ ssList(app(sk5,sk3))
| ~ spl0_11
| ~ spl0_143 ),
inference(superposition,[],[f1010,f288]) ).
fof(f1010,plain,
( ! [X0,X1] :
( rearsegP(app(X0,X1),X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl0_143 ),
inference(avatar_component_clause,[],[f1009]) ).
fof(f2443,plain,
( spl0_217
| ~ spl0_13
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2203,f2154,f296,f2440]) ).
fof(f2440,plain,
( spl0_217
<=> duplicatefreeP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f296,plain,
( spl0_13
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2203,plain,
( duplicatefreeP(sk5)
| ~ spl0_13
| ~ spl0_206 ),
inference(superposition,[],[f298,f2156]) ).
fof(f298,plain,
( duplicatefreeP(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f2438,plain,
( spl0_216
| spl0_208
| ~ spl0_5
| ~ spl0_130
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2162,f2154,f884,f258,f2191,f2435]) ).
fof(f2435,plain,
( spl0_216
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f884,plain,
( spl0_130
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f2162,plain,
( sk3 = sk5
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_5
| ~ spl0_130
| ~ spl0_206 ),
inference(forward_demodulation,[],[f961,f2156]) ).
fof(f961,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_5
| ~ spl0_130 ),
inference(resolution,[],[f885,f260]) ).
fof(f260,plain,
( ssList(sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f885,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_130 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f2393,plain,
( spl0_215
| spl0_208
| ~ spl0_5
| ~ spl0_129
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2161,f2154,f880,f258,f2191,f2390]) ).
fof(f2390,plain,
( spl0_215
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f880,plain,
( spl0_129
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f2161,plain,
( sk3 = sk5
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_5
| ~ spl0_129
| ~ spl0_206 ),
inference(forward_demodulation,[],[f926,f2156]) ).
fof(f926,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_5
| ~ spl0_129 ),
inference(resolution,[],[f881,f260]) ).
fof(f881,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f2347,plain,
( spl0_211
| ~ spl0_206
| ~ spl0_210 ),
inference(avatar_split_clause,[],[f2346,f2242,f2154,f2248]) ).
fof(f2248,plain,
( spl0_211
<=> sk5 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2242,plain,
( spl0_210
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2346,plain,
( sk5 = sk6
| ~ spl0_206
| ~ spl0_210 ),
inference(forward_demodulation,[],[f2244,f2156]) ).
fof(f2244,plain,
( nil = sk6
| ~ spl0_210 ),
inference(avatar_component_clause,[],[f2242]) ).
fof(f2345,plain,
( spl0_214
| spl0_210
| ~ spl0_2
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f964,f884,f243,f2242,f2342]) ).
fof(f2342,plain,
( spl0_214
<=> sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f964,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6))
| ~ spl0_2
| ~ spl0_130 ),
inference(resolution,[],[f885,f245]) ).
fof(f245,plain,
( ssList(sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f2301,plain,
( spl0_213
| spl0_9
| ~ spl0_4
| ~ spl0_130 ),
inference(avatar_split_clause,[],[f962,f884,f253,f276,f2298]) ).
fof(f2298,plain,
( spl0_213
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f962,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_4
| ~ spl0_130 ),
inference(resolution,[],[f885,f255]) ).
fof(f255,plain,
( ssList(sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f2256,plain,
( spl0_212
| ~ spl0_12
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2202,f2154,f291,f2253]) ).
fof(f2253,plain,
( spl0_212
<=> equalelemsP(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f291,plain,
( spl0_12
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f2202,plain,
( equalelemsP(sk5)
| ~ spl0_12
| ~ spl0_206 ),
inference(superposition,[],[f293,f2156]) ).
fof(f293,plain,
( equalelemsP(nil)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f2251,plain,
( ~ spl0_211
| ~ spl0_206
| spl0_210 ),
inference(avatar_split_clause,[],[f2246,f2242,f2154,f2248]) ).
fof(f2246,plain,
( sk5 != sk6
| ~ spl0_206
| spl0_210 ),
inference(forward_demodulation,[],[f2243,f2156]) ).
fof(f2243,plain,
( nil != sk6
| spl0_210 ),
inference(avatar_component_clause,[],[f2242]) ).
fof(f2245,plain,
( spl0_209
| spl0_210
| ~ spl0_2
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f929,f880,f243,f2242,f2238]) ).
fof(f2238,plain,
( spl0_209
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f929,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_2
| ~ spl0_129 ),
inference(resolution,[],[f881,f245]) ).
fof(f2194,plain,
( ~ spl0_208
| spl0_10
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2160,f2154,f281,f2191]) ).
fof(f2160,plain,
( sk3 != sk5
| spl0_10
| ~ spl0_206 ),
inference(forward_demodulation,[],[f283,f2156]) ).
fof(f283,plain,
( nil != sk3
| spl0_10 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f2189,plain,
( spl0_207
| ~ spl0_7
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f2159,f2154,f267,f2186]) ).
fof(f2186,plain,
( spl0_207
<=> neq(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f267,plain,
( spl0_7
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f2159,plain,
( neq(sk3,sk5)
| ~ spl0_7
| ~ spl0_206 ),
inference(forward_demodulation,[],[f268,f2156]) ).
fof(f268,plain,
( neq(sk3,nil)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f2158,plain,
( ~ spl0_4
| ~ spl0_68
| spl0_202 ),
inference(avatar_split_clause,[],[f2084,f2080,f527,f253]) ).
fof(f527,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f2080,plain,
( spl0_202
<=> segmentP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2084,plain,
( ~ ssList(sk4)
| ~ spl0_68
| spl0_202 ),
inference(resolution,[],[f2082,f528]) ).
fof(f528,plain,
( ! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) )
| ~ spl0_68 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f2082,plain,
( ~ segmentP(sk4,sk4)
| spl0_202 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2157,plain,
( spl0_205
| spl0_206
| ~ spl0_1
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f928,f880,f238,f2154,f2150]) ).
fof(f2150,plain,
( spl0_205
<=> sk5 = cons(hd(sk5),tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f928,plain,
( nil = sk5
| sk5 = cons(hd(sk5),tl(sk5))
| ~ spl0_1
| ~ spl0_129 ),
inference(resolution,[],[f881,f240]) ).
fof(f240,plain,
( ssList(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f2113,plain,
( spl0_204
| spl0_9
| ~ spl0_4
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f927,f880,f253,f276,f2110]) ).
fof(f2110,plain,
( spl0_204
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f927,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_4
| ~ spl0_129 ),
inference(resolution,[],[f881,f255]) ).
fof(f2089,plain,
( spl0_203
| ~ spl0_8
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1562,f286,f272,f2086]) ).
fof(f2086,plain,
( spl0_203
<=> sk4 = app(app(sk5,sk4),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f1562,plain,
( sk4 = app(app(sk5,sk4),sk6)
| ~ spl0_8
| ~ spl0_11 ),
inference(superposition,[],[f288,f273]) ).
fof(f2083,plain,
( ~ spl0_202
| spl0_6
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1560,f272,f263,f2080]) ).
fof(f1560,plain,
( ~ segmentP(sk4,sk4)
| spl0_6
| ~ spl0_8 ),
inference(superposition,[],[f265,f273]) ).
fof(f265,plain,
( ~ segmentP(sk4,sk3)
| spl0_6 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f2075,plain,
spl0_201,
inference(avatar_split_clause,[],[f228,f2073]) ).
fof(f2073,plain,
( spl0_201
<=> ! [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_201])]) ).
fof(f228,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(f2071,plain,
spl0_200,
inference(avatar_split_clause,[],[f227,f2069]) ).
fof(f2069,plain,
( spl0_200
<=> ! [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_200])]) ).
fof(f227,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(f2067,plain,
spl0_199,
inference(avatar_split_clause,[],[f226,f2065]) ).
fof(f2065,plain,
( spl0_199
<=> ! [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_199])]) ).
fof(f226,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(f2059,plain,
( spl0_198
| ~ spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f2054,f272,f267,f2056]) ).
fof(f2056,plain,
( spl0_198
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2054,plain,
( neq(sk4,nil)
| ~ spl0_7
| ~ spl0_8 ),
inference(forward_demodulation,[],[f268,f273]) ).
fof(f2034,plain,
( spl0_197
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f1605,f296,f281,f272,f2031]) ).
fof(f2031,plain,
( spl0_197
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f1605,plain,
( duplicatefreeP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f1570,f273]) ).
fof(f1570,plain,
( duplicatefreeP(sk3)
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f298,f282]) ).
fof(f2029,plain,
spl0_196,
inference(avatar_split_clause,[],[f225,f2027]) ).
fof(f2027,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f225,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(f2025,plain,
spl0_195,
inference(avatar_split_clause,[],[f224,f2023]) ).
fof(f2023,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f224,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(f2020,plain,
spl0_194,
inference(avatar_split_clause,[],[f221,f2018]) ).
fof(f2018,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f221,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(f2014,plain,
spl0_193,
inference(avatar_split_clause,[],[f223,f2012]) ).
fof(f2012,plain,
( spl0_193
<=> ! [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_193])]) ).
fof(f223,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(f2008,plain,
( spl0_192
| ~ spl0_8
| ~ spl0_10
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f2004,f1998,f281,f272,f2006]) ).
fof(f2006,plain,
( spl0_192
<=> ! [X0,X1] :
( sk4 = X1
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1998,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f2004,plain,
( ! [X0,X1] :
( sk4 = X1
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_8
| ~ spl0_10
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2003,f273]) ).
fof(f2003,plain,
( ! [X0,X1] :
( sk3 = X1
| sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_8
| ~ spl0_10
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2002,f282]) ).
fof(f2002,plain,
( ! [X0,X1] :
( sk4 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_8
| ~ spl0_10
| ~ spl0_191 ),
inference(forward_demodulation,[],[f2001,f273]) ).
fof(f2001,plain,
( ! [X0,X1] :
( sk3 = X0
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) )
| ~ spl0_10
| ~ spl0_191 ),
inference(forward_demodulation,[],[f1999,f282]) ).
fof(f1999,plain,
( ! [X0,X1] :
( hd(X0) != hd(X1)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| ~ ssList(X0) )
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1998]) ).
fof(f2000,plain,
spl0_191,
inference(avatar_split_clause,[],[f177,f1998]) ).
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(f1958,plain,
( spl0_190
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1604,f291,f281,f272,f1955]) ).
fof(f1955,plain,
( spl0_190
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1604,plain,
( equalelemsP(sk4)
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12 ),
inference(forward_demodulation,[],[f1569,f273]) ).
fof(f1569,plain,
( equalelemsP(sk3)
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f293,f282]) ).
fof(f1764,plain,
spl0_189,
inference(avatar_split_clause,[],[f167,f1762]) ).
fof(f1762,plain,
( spl0_189
<=> ! [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_189])]) ).
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(f1760,plain,
spl0_188,
inference(avatar_split_clause,[],[f166,f1758]) ).
fof(f1758,plain,
( spl0_188
<=> ! [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_188])]) ).
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(f1756,plain,
spl0_187,
inference(avatar_split_clause,[],[f165,f1754]) ).
fof(f1754,plain,
( spl0_187
<=> ! [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_187])]) ).
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(f1752,plain,
spl0_186,
inference(avatar_split_clause,[],[f164,f1750]) ).
fof(f1750,plain,
( spl0_186
<=> ! [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_186])]) ).
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(f1748,plain,
spl0_185,
inference(avatar_split_clause,[],[f163,f1746]) ).
fof(f1746,plain,
( spl0_185
<=> ! [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_185])]) ).
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(f1744,plain,
( spl0_184
| ~ spl0_3
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f1558,f272,f248,f1741]) ).
fof(f1741,plain,
( spl0_184
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f248,plain,
( spl0_3
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f1558,plain,
( totalorderedP(sk4)
| ~ spl0_3
| ~ spl0_8 ),
inference(superposition,[],[f250,f273]) ).
fof(f250,plain,
( totalorderedP(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f1739,plain,
spl0_183,
inference(avatar_split_clause,[],[f162,f1737]) ).
fof(f1737,plain,
( spl0_183
<=> ! [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_183])]) ).
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(f1706,plain,
spl0_182,
inference(avatar_split_clause,[],[f220,f1704]) ).
fof(f220,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(f1702,plain,
spl0_181,
inference(avatar_split_clause,[],[f219,f1700]) ).
fof(f1700,plain,
( spl0_181
<=> ! [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_181])]) ).
fof(f219,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(f1557,plain,
( ~ spl0_5
| spl0_10
| ~ spl0_19
| spl0_7
| ~ spl0_115 ),
inference(avatar_split_clause,[],[f856,f801,f267,f326,f281,f258]) ).
fof(f326,plain,
( spl0_19
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f801,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f856,plain,
( ~ ssList(nil)
| nil = sk3
| ~ ssList(sk3)
| spl0_7
| ~ spl0_115 ),
inference(resolution,[],[f802,f269]) ).
fof(f269,plain,
( ~ neq(sk3,nil)
| spl0_7 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f802,plain,
( ! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) )
| ~ spl0_115 ),
inference(avatar_component_clause,[],[f801]) ).
fof(f1539,plain,
spl0_180,
inference(avatar_split_clause,[],[f176,f1537]) ).
fof(f1537,plain,
( spl0_180
<=> ! [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_180])]) ).
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(f1535,plain,
spl0_179,
inference(avatar_split_clause,[],[f174,f1533]) ).
fof(f1533,plain,
( spl0_179
<=> ! [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_179])]) ).
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(f1531,plain,
spl0_178,
inference(avatar_split_clause,[],[f172,f1529]) ).
fof(f1529,plain,
( spl0_178
<=> ! [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_178])]) ).
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(f1527,plain,
spl0_177,
inference(avatar_split_clause,[],[f171,f1525]) ).
fof(f1525,plain,
( spl0_177
<=> ! [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_177])]) ).
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(f1523,plain,
spl0_176,
inference(avatar_split_clause,[],[f170,f1521]) ).
fof(f1521,plain,
( spl0_176
<=> ! [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_176])]) ).
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(f1519,plain,
spl0_175,
inference(avatar_split_clause,[],[f169,f1517]) ).
fof(f1517,plain,
( spl0_175
<=> ! [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_175])]) ).
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(f1499,plain,
spl0_174,
inference(avatar_split_clause,[],[f168,f1497]) ).
fof(f1497,plain,
( spl0_174
<=> ! [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_174])]) ).
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(f1406,plain,
spl0_173,
inference(avatar_split_clause,[],[f161,f1404]) ).
fof(f1404,plain,
( spl0_173
<=> ! [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_173])]) ).
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(f1402,plain,
spl0_172,
inference(avatar_split_clause,[],[f160,f1400]) ).
fof(f1400,plain,
( spl0_172
<=> ! [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_172])]) ).
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(f1383,plain,
spl0_171,
inference(avatar_split_clause,[],[f159,f1381]) ).
fof(f1381,plain,
( spl0_171
<=> ! [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_171])]) ).
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(f1379,plain,
spl0_170,
inference(avatar_split_clause,[],[f158,f1377]) ).
fof(f1377,plain,
( spl0_170
<=> ! [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_170])]) ).
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(f1375,plain,
spl0_169,
inference(avatar_split_clause,[],[f157,f1373]) ).
fof(f1373,plain,
( spl0_169
<=> ! [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_169])]) ).
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(f1371,plain,
spl0_168,
inference(avatar_split_clause,[],[f149,f1369]) ).
fof(f1369,plain,
( spl0_168
<=> ! [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_168])]) ).
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(f1367,plain,
spl0_167,
inference(avatar_split_clause,[],[f142,f1365]) ).
fof(f1365,plain,
( spl0_167
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
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(f1293,plain,
spl0_166,
inference(avatar_split_clause,[],[f229,f1291]) ).
fof(f1291,plain,
( spl0_166
<=> ! [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_166])]) ).
fof(f229,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f222]) ).
fof(f222,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(f1278,plain,
spl0_165,
inference(avatar_split_clause,[],[f151,f1276]) ).
fof(f1276,plain,
( spl0_165
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
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(f1274,plain,
spl0_164,
inference(avatar_split_clause,[],[f150,f1272]) ).
fof(f1272,plain,
( spl0_164
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
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(f1270,plain,
spl0_163,
inference(avatar_split_clause,[],[f133,f1268]) ).
fof(f1268,plain,
( spl0_163
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
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(f1225,plain,
spl0_162,
inference(avatar_split_clause,[],[f156,f1223]) ).
fof(f1223,plain,
( spl0_162
<=> ! [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_162])]) ).
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(f1221,plain,
spl0_161,
inference(avatar_split_clause,[],[f155,f1219]) ).
fof(f1219,plain,
( spl0_161
<=> ! [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_161])]) ).
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(f1217,plain,
spl0_160,
inference(avatar_split_clause,[],[f154,f1215]) ).
fof(f1215,plain,
( spl0_160
<=> ! [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_160])]) ).
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(f1213,plain,
spl0_159,
inference(avatar_split_clause,[],[f153,f1211]) ).
fof(f1211,plain,
( spl0_159
<=> ! [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_159])]) ).
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(f1209,plain,
spl0_158,
inference(avatar_split_clause,[],[f152,f1207]) ).
fof(f1207,plain,
( spl0_158
<=> ! [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_158])]) ).
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(f1205,plain,
spl0_157,
inference(avatar_split_clause,[],[f148,f1203]) ).
fof(f1203,plain,
( spl0_157
<=> ! [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_157])]) ).
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(f1201,plain,
spl0_156,
inference(avatar_split_clause,[],[f147,f1199]) ).
fof(f1199,plain,
( spl0_156
<=> ! [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_156])]) ).
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(f1186,plain,
spl0_155,
inference(avatar_split_clause,[],[f146,f1184]) ).
fof(f1184,plain,
( spl0_155
<=> ! [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_155])]) ).
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(f1182,plain,
spl0_154,
inference(avatar_split_clause,[],[f135,f1180]) ).
fof(f1180,plain,
( spl0_154
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
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(f1178,plain,
spl0_153,
inference(avatar_split_clause,[],[f134,f1176]) ).
fof(f1176,plain,
( spl0_153
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
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(f1094,plain,
spl0_152,
inference(avatar_split_clause,[],[f141,f1092]) ).
fof(f1092,plain,
( spl0_152
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
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(f1090,plain,
spl0_151,
inference(avatar_split_clause,[],[f140,f1088]) ).
fof(f1088,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
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(f1086,plain,
spl0_150,
inference(avatar_split_clause,[],[f139,f1084]) ).
fof(f1084,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
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(f1082,plain,
spl0_149,
inference(avatar_split_clause,[],[f137,f1080]) ).
fof(f1080,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
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(f1078,plain,
spl0_148,
inference(avatar_split_clause,[],[f136,f1076]) ).
fof(f1076,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
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(f1074,plain,
spl0_147,
inference(avatar_split_clause,[],[f132,f1072]) ).
fof(f1072,plain,
( spl0_147
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
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(f1070,plain,
spl0_146,
inference(avatar_split_clause,[],[f131,f1068]) ).
fof(f1068,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
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(f1066,plain,
spl0_145,
inference(avatar_split_clause,[],[f123,f1064]) ).
fof(f1064,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
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(f1015,plain,
spl0_144,
inference(avatar_split_clause,[],[f216,f1013]) ).
fof(f1013,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f216,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(f1011,plain,
spl0_143,
inference(avatar_split_clause,[],[f215,f1009]) ).
fof(f215,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(f1007,plain,
spl0_142,
inference(avatar_split_clause,[],[f130,f1005]) ).
fof(f1005,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
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(f1003,plain,
spl0_141,
inference(avatar_split_clause,[],[f129,f1001]) ).
fof(f1001,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
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(f999,plain,
spl0_140,
inference(avatar_split_clause,[],[f128,f997]) ).
fof(f997,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
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(f995,plain,
spl0_139,
inference(avatar_split_clause,[],[f127,f993]) ).
fof(f993,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
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(f991,plain,
spl0_138,
inference(avatar_split_clause,[],[f126,f989]) ).
fof(f989,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
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(f987,plain,
spl0_137,
inference(avatar_split_clause,[],[f125,f985]) ).
fof(f985,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
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(f983,plain,
spl0_136,
inference(avatar_split_clause,[],[f124,f981]) ).
fof(f981,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
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(f979,plain,
spl0_135,
inference(avatar_split_clause,[],[f122,f977]) ).
fof(f977,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f122,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause122) ).
fof(f975,plain,
( spl0_134
| ~ spl0_2
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f680,f614,f243,f972]) ).
fof(f972,plain,
( spl0_134
<=> sk6 = app(nil,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f614,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f680,plain,
( sk6 = app(nil,sk6)
| ~ spl0_2
| ~ spl0_90 ),
inference(resolution,[],[f615,f245]) ).
fof(f615,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f970,plain,
spl0_133,
inference(avatar_split_clause,[],[f120,f968]) ).
fof(f968,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
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(f894,plain,
spl0_132,
inference(avatar_split_clause,[],[f119,f892]) ).
fof(f892,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f890,plain,
spl0_131,
inference(avatar_split_clause,[],[f118,f888]) ).
fof(f888,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f886,plain,
spl0_130,
inference(avatar_split_clause,[],[f109,f884]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f882,plain,
spl0_129,
inference(avatar_split_clause,[],[f104,f880]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f876,plain,
( spl0_128
| ~ spl0_1
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f679,f614,f238,f873]) ).
fof(f873,plain,
( spl0_128
<=> sk5 = app(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f679,plain,
( sk5 = app(nil,sk5)
| ~ spl0_1
| ~ spl0_90 ),
inference(resolution,[],[f615,f240]) ).
fof(f855,plain,
( spl0_127
| ~ spl0_4
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f678,f614,f253,f852]) ).
fof(f852,plain,
( spl0_127
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f678,plain,
( sk4 = app(nil,sk4)
| ~ spl0_4
| ~ spl0_90 ),
inference(resolution,[],[f615,f255]) ).
fof(f848,plain,
spl0_126,
inference(avatar_split_clause,[],[f210,f846]) ).
fof(f846,plain,
( spl0_126
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f210,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(f844,plain,
spl0_125,
inference(avatar_split_clause,[],[f114,f842]) ).
fof(f842,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f840,plain,
spl0_124,
inference(avatar_split_clause,[],[f110,f838]) ).
fof(f838,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f836,plain,
spl0_123,
inference(avatar_split_clause,[],[f108,f834]) ).
fof(f834,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f832,plain,
spl0_122,
inference(avatar_split_clause,[],[f107,f830]) ).
fof(f830,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f828,plain,
spl0_121,
inference(avatar_split_clause,[],[f106,f826]) ).
fof(f826,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f824,plain,
spl0_120,
inference(avatar_split_clause,[],[f105,f822]) ).
fof(f822,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f820,plain,
spl0_119,
inference(avatar_split_clause,[],[f103,f818]) ).
fof(f818,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f816,plain,
( spl0_118
| ~ spl0_5
| ~ spl0_90 ),
inference(avatar_split_clause,[],[f677,f614,f258,f813]) ).
fof(f677,plain,
( sk3 = app(nil,sk3)
| ~ spl0_5
| ~ spl0_90 ),
inference(resolution,[],[f615,f260]) ).
fof(f811,plain,
spl0_117,
inference(avatar_split_clause,[],[f102,f809]) ).
fof(f809,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f807,plain,
spl0_116,
inference(avatar_split_clause,[],[f101,f805]) ).
fof(f805,plain,
( spl0_116
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f803,plain,
spl0_115,
inference(avatar_split_clause,[],[f100,f801]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f799,plain,
spl0_114,
inference(avatar_split_clause,[],[f97,f797]) ).
fof(f797,plain,
( spl0_114
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f795,plain,
spl0_113,
inference(avatar_split_clause,[],[f96,f793]) ).
fof(f793,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f791,plain,
( spl0_112
| ~ spl0_2
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f648,f610,f243,f788]) ).
fof(f788,plain,
( spl0_112
<=> sk6 = app(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f610,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f648,plain,
( sk6 = app(sk6,nil)
| ~ spl0_2
| ~ spl0_89 ),
inference(resolution,[],[f611,f245]) ).
fof(f611,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f786,plain,
spl0_111,
inference(avatar_split_clause,[],[f231,f784]) ).
fof(f784,plain,
( spl0_111
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f231,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f214,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(f782,plain,
spl0_110,
inference(avatar_split_clause,[],[f99,f780]) ).
fof(f780,plain,
( spl0_110
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f778,plain,
spl0_109,
inference(avatar_split_clause,[],[f98,f776]) ).
fof(f776,plain,
( spl0_109
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f774,plain,
( spl0_108
| ~ spl0_1
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f647,f610,f238,f771]) ).
fof(f771,plain,
( spl0_108
<=> sk5 = app(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f647,plain,
( sk5 = app(sk5,nil)
| ~ spl0_1
| ~ spl0_89 ),
inference(resolution,[],[f611,f240]) ).
fof(f769,plain,
spl0_107,
inference(avatar_split_clause,[],[f95,f767]) ).
fof(f767,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f765,plain,
spl0_106,
inference(avatar_split_clause,[],[f94,f763]) ).
fof(f763,plain,
( spl0_106
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f761,plain,
spl0_105,
inference(avatar_split_clause,[],[f93,f759]) ).
fof(f759,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f757,plain,
spl0_104,
inference(avatar_split_clause,[],[f92,f755]) ).
fof(f755,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f753,plain,
spl0_103,
inference(avatar_split_clause,[],[f91,f751]) ).
fof(f751,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f749,plain,
spl0_102,
inference(avatar_split_clause,[],[f90,f747]) ).
fof(f747,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f745,plain,
spl0_101,
inference(avatar_split_clause,[],[f89,f743]) ).
fof(f743,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f741,plain,
spl0_100,
inference(avatar_split_clause,[],[f88,f739]) ).
fof(f739,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f737,plain,
spl0_99,
inference(avatar_split_clause,[],[f87,f735]) ).
fof(f735,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f731,plain,
( spl0_98
| ~ spl0_4
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f646,f610,f253,f728]) ).
fof(f728,plain,
( spl0_98
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f646,plain,
( sk4 = app(sk4,nil)
| ~ spl0_4
| ~ spl0_89 ),
inference(resolution,[],[f611,f255]) ).
fof(f709,plain,
spl0_97,
inference(avatar_split_clause,[],[f86,f707]) ).
fof(f707,plain,
( spl0_97
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f705,plain,
spl0_96,
inference(avatar_split_clause,[],[f85,f703]) ).
fof(f703,plain,
( spl0_96
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f701,plain,
spl0_95,
inference(avatar_split_clause,[],[f84,f699]) ).
fof(f699,plain,
( spl0_95
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f697,plain,
spl0_94,
inference(avatar_split_clause,[],[f82,f695]) ).
fof(f695,plain,
( spl0_94
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f693,plain,
spl0_93,
inference(avatar_split_clause,[],[f80,f691]) ).
fof(f691,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f689,plain,
( spl0_92
| ~ spl0_5
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f645,f610,f258,f686]) ).
fof(f686,plain,
( spl0_92
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f645,plain,
( sk3 = app(sk3,nil)
| ~ spl0_5
| ~ spl0_89 ),
inference(resolution,[],[f611,f260]) ).
fof(f684,plain,
spl0_91,
inference(avatar_split_clause,[],[f77,f682]) ).
fof(f682,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause77) ).
fof(f616,plain,
spl0_90,
inference(avatar_split_clause,[],[f74,f614]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f612,plain,
spl0_89,
inference(avatar_split_clause,[],[f73,f610]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f608,plain,
spl0_88,
inference(avatar_split_clause,[],[f197,f606]) ).
fof(f606,plain,
( spl0_88
<=> ! [X9,X7,X6,X8] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X8,X6)
| sk6 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f197,axiom,
! [X8,X6,X9,X7] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X8,X6)
| sk6 != app(cons(X6,nil),X7)
| sk3 != app(X9,cons(X8,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_12) ).
fof(f604,plain,
spl0_87,
inference(avatar_split_clause,[],[f196,f602]) ).
fof(f602,plain,
( spl0_87
<=> ! [X9,X7,X6,X8] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X6,X8)
| sk5 != app(X7,cons(X6,nil))
| sk3 != app(cons(X8,nil),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f196,axiom,
! [X8,X6,X9,X7] :
( ~ ssItem(X6)
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ leq(X6,X8)
| sk5 != app(X7,cons(X6,nil))
| sk3 != app(cons(X8,nil),X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_11) ).
fof(f600,plain,
( spl0_85
| spl0_86 ),
inference(avatar_split_clause,[],[f72,f598,f595]) ).
fof(f595,plain,
( spl0_85
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f598,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(f593,plain,
spl0_84,
inference(avatar_split_clause,[],[f70,f591]) ).
fof(f591,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(f589,plain,
spl0_83,
inference(avatar_split_clause,[],[f69,f587]) ).
fof(f587,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(f585,plain,
spl0_82,
inference(avatar_split_clause,[],[f68,f583]) ).
fof(f583,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(f581,plain,
spl0_81,
inference(avatar_split_clause,[],[f67,f579]) ).
fof(f579,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(f577,plain,
spl0_80,
inference(avatar_split_clause,[],[f66,f575]) ).
fof(f575,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(f573,plain,
spl0_79,
inference(avatar_split_clause,[],[f65,f571]) ).
fof(f571,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(f569,plain,
spl0_78,
inference(avatar_split_clause,[],[f64,f567]) ).
fof(f567,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(f565,plain,
spl0_77,
inference(avatar_split_clause,[],[f234,f563]) ).
fof(f563,plain,
( spl0_77
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f234,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f208,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(f561,plain,
spl0_76,
inference(avatar_split_clause,[],[f232,f559]) ).
fof(f559,plain,
( spl0_76
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f232,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f213]) ).
fof(f213,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(f557,plain,
spl0_75,
inference(avatar_split_clause,[],[f71,f555]) ).
fof(f555,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(f553,plain,
spl0_74,
inference(avatar_split_clause,[],[f63,f551]) ).
fof(f551,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(f549,plain,
spl0_73,
inference(avatar_split_clause,[],[f62,f547]) ).
fof(f547,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(f545,plain,
spl0_72,
inference(avatar_split_clause,[],[f61,f543]) ).
fof(f543,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(f541,plain,
spl0_71,
inference(avatar_split_clause,[],[f60,f539]) ).
fof(f539,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(f537,plain,
spl0_70,
inference(avatar_split_clause,[],[f59,f535]) ).
fof(f535,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(f533,plain,
spl0_69,
inference(avatar_split_clause,[],[f58,f531]) ).
fof(f531,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(f529,plain,
spl0_68,
inference(avatar_split_clause,[],[f57,f527]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f525,plain,
spl0_67,
inference(avatar_split_clause,[],[f56,f523]) ).
fof(f523,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(f521,plain,
spl0_66,
inference(avatar_split_clause,[],[f55,f519]) ).
fof(f519,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(f517,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f515]) ).
fof(f515,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f513,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f511]) ).
fof(f511,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f509,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f507]) ).
fof(f507,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f505,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f503]) ).
fof(f503,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f501,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f499]) ).
fof(f499,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f497,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f495]) ).
fof(f495,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f493,plain,
~ spl0_59,
inference(avatar_split_clause,[],[f54,f490]) ).
fof(f490,plain,
( spl0_59
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f488,plain,
spl0_58,
inference(avatar_split_clause,[],[f47,f486]) ).
fof(f486,plain,
( spl0_58
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f484,plain,
spl0_57,
inference(avatar_split_clause,[],[f46,f482]) ).
fof(f482,plain,
( spl0_57
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f480,plain,
spl0_56,
inference(avatar_split_clause,[],[f45,f478]) ).
fof(f478,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f476,plain,
spl0_55,
inference(avatar_split_clause,[],[f44,f474]) ).
fof(f474,plain,
( spl0_55
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f472,plain,
spl0_54,
inference(avatar_split_clause,[],[f43,f470]) ).
fof(f470,plain,
( spl0_54
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f468,plain,
spl0_53,
inference(avatar_split_clause,[],[f42,f466]) ).
fof(f466,plain,
( spl0_53
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f464,plain,
spl0_52,
inference(avatar_split_clause,[],[f41,f462]) ).
fof(f462,plain,
( spl0_52
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f460,plain,
spl0_51,
inference(avatar_split_clause,[],[f40,f458]) ).
fof(f458,plain,
( spl0_51
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f456,plain,
spl0_50,
inference(avatar_split_clause,[],[f39,f454]) ).
fof(f454,plain,
( spl0_50
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f452,plain,
spl0_49,
inference(avatar_split_clause,[],[f38,f450]) ).
fof(f450,plain,
( spl0_49
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f448,plain,
spl0_48,
inference(avatar_split_clause,[],[f37,f446]) ).
fof(f446,plain,
( spl0_48
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f444,plain,
spl0_47,
inference(avatar_split_clause,[],[f36,f442]) ).
fof(f442,plain,
( spl0_47
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f440,plain,
spl0_46,
inference(avatar_split_clause,[],[f35,f438]) ).
fof(f438,plain,
( spl0_46
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f436,plain,
spl0_45,
inference(avatar_split_clause,[],[f34,f434]) ).
fof(f434,plain,
( spl0_45
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f432,plain,
spl0_44,
inference(avatar_split_clause,[],[f33,f430]) ).
fof(f430,plain,
( spl0_44
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f428,plain,
spl0_43,
inference(avatar_split_clause,[],[f32,f426]) ).
fof(f426,plain,
( spl0_43
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f424,plain,
spl0_42,
inference(avatar_split_clause,[],[f31,f422]) ).
fof(f422,plain,
( spl0_42
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f420,plain,
spl0_41,
inference(avatar_split_clause,[],[f30,f418]) ).
fof(f418,plain,
( spl0_41
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f416,plain,
spl0_40,
inference(avatar_split_clause,[],[f29,f414]) ).
fof(f414,plain,
( spl0_40
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f412,plain,
spl0_39,
inference(avatar_split_clause,[],[f28,f410]) ).
fof(f410,plain,
( spl0_39
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f408,plain,
spl0_38,
inference(avatar_split_clause,[],[f27,f406]) ).
fof(f406,plain,
( spl0_38
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f404,plain,
spl0_37,
inference(avatar_split_clause,[],[f26,f402]) ).
fof(f402,plain,
( spl0_37
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f400,plain,
spl0_36,
inference(avatar_split_clause,[],[f25,f398]) ).
fof(f398,plain,
( spl0_36
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f396,plain,
spl0_35,
inference(avatar_split_clause,[],[f24,f394]) ).
fof(f394,plain,
( spl0_35
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f392,plain,
spl0_34,
inference(avatar_split_clause,[],[f23,f390]) ).
fof(f390,plain,
( spl0_34
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f388,plain,
spl0_33,
inference(avatar_split_clause,[],[f22,f386]) ).
fof(f386,plain,
( spl0_33
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f384,plain,
spl0_32,
inference(avatar_split_clause,[],[f21,f382]) ).
fof(f382,plain,
( spl0_32
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f380,plain,
spl0_31,
inference(avatar_split_clause,[],[f20,f378]) ).
fof(f378,plain,
( spl0_31
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f376,plain,
spl0_30,
inference(avatar_split_clause,[],[f19,f374]) ).
fof(f374,plain,
( spl0_30
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f372,plain,
spl0_29,
inference(avatar_split_clause,[],[f18,f370]) ).
fof(f370,plain,
( spl0_29
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f368,plain,
spl0_28,
inference(avatar_split_clause,[],[f17,f366]) ).
fof(f366,plain,
( spl0_28
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f364,plain,
spl0_27,
inference(avatar_split_clause,[],[f16,f362]) ).
fof(f362,plain,
( spl0_27
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f360,plain,
spl0_26,
inference(avatar_split_clause,[],[f15,f358]) ).
fof(f358,plain,
( spl0_26
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f356,plain,
spl0_25,
inference(avatar_split_clause,[],[f14,f354]) ).
fof(f354,plain,
( spl0_25
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f352,plain,
spl0_24,
inference(avatar_split_clause,[],[f13,f350]) ).
fof(f350,plain,
( spl0_24
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f348,plain,
spl0_23,
inference(avatar_split_clause,[],[f12,f346]) ).
fof(f346,plain,
( spl0_23
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f344,plain,
~ spl0_22,
inference(avatar_split_clause,[],[f11,f341]) ).
fof(f341,plain,
( spl0_22
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f339,plain,
spl0_21,
inference(avatar_split_clause,[],[f10,f336]) ).
fof(f336,plain,
( spl0_21
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f334,plain,
spl0_20,
inference(avatar_split_clause,[],[f9,f331]) ).
fof(f331,plain,
( spl0_20
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f329,plain,
spl0_19,
inference(avatar_split_clause,[],[f8,f326]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f324,plain,
spl0_18,
inference(avatar_split_clause,[],[f7,f321]) ).
fof(f321,plain,
( spl0_18
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f319,plain,
spl0_17,
inference(avatar_split_clause,[],[f6,f316]) ).
fof(f316,plain,
( spl0_17
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f314,plain,
spl0_16,
inference(avatar_split_clause,[],[f5,f311]) ).
fof(f311,plain,
( spl0_16
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f309,plain,
spl0_15,
inference(avatar_split_clause,[],[f4,f306]) ).
fof(f306,plain,
( spl0_15
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f304,plain,
spl0_14,
inference(avatar_split_clause,[],[f3,f301]) ).
fof(f301,plain,
( spl0_14
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f299,plain,
spl0_13,
inference(avatar_split_clause,[],[f2,f296]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f294,plain,
spl0_12,
inference(avatar_split_clause,[],[f1,f291]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f289,plain,
spl0_11,
inference(avatar_split_clause,[],[f194,f286]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f284,plain,
( spl0_8
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f236,f281,f272]) ).
fof(f236,plain,
( nil != sk3
| sk3 = sk4 ),
inference(inner_rewriting,[],[f198]) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_13) ).
fof(f279,plain,
( ~ spl0_8
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f235,f276,f272]) ).
fof(f235,plain,
( nil != sk4
| sk3 != sk4 ),
inference(inner_rewriting,[],[f203]) ).
fof(f203,plain,
( nil != sk4
| nil != sk3 ),
inference(definition_unfolding,[],[f199,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(f199,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f270,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f204,f267,f263]) ).
fof(f204,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f200,f191,f190,f191]) ).
fof(f200,axiom,
( ~ neq(sk1,nil)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f261,plain,
spl0_5,
inference(avatar_split_clause,[],[f202,f258]) ).
fof(f202,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f256,plain,
spl0_4,
inference(avatar_split_clause,[],[f201,f253]) ).
fof(f201,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
fof(f251,plain,
spl0_3,
inference(avatar_split_clause,[],[f195,f248]) ).
fof(f195,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_10) ).
fof(f246,plain,
spl0_2,
inference(avatar_split_clause,[],[f193,f243]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_8) ).
fof(f241,plain,
spl0_1,
inference(avatar_split_clause,[],[f192,f238]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWC118-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33 % Computer : n013.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue Apr 30 04:12:34 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.33 % (7705)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.35 % (7708)WARNING: value z3 for option sas not known
% 0.11/0.35 % (7709)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.35 % (7712)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)
% 0.11/0.35 % (7710)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)
% 0.11/0.35 % (7707)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.35 % (7706)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.35 % (7711)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)
% 0.11/0.35 % (7708)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)
% 0.17/0.36 TRYING [1]
% 0.17/0.36 TRYING [2]
% 0.17/0.37 TRYING [3]
% 0.17/0.40 TRYING [1]
% 0.17/0.41 TRYING [2]
% 0.17/0.42 % (7710)First to succeed.
% 0.17/0.42 TRYING [4]
% 0.17/0.42 TRYING [1]
% 0.17/0.42 TRYING [2]
% 0.17/0.43 % (7710)Refutation found. Thanks to Tanya!
% 0.17/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.43 % (7710)------------------------------
% 0.17/0.43 % (7710)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.17/0.43 % (7710)Termination reason: Refutation
% 0.17/0.43
% 0.17/0.43 % (7710)Memory used [KB]: 2604
% 0.17/0.43 % (7710)Time elapsed: 0.078 s
% 0.17/0.43 % (7710)Instructions burned: 147 (million)
% 0.17/0.43 % (7710)------------------------------
% 0.17/0.43 % (7710)------------------------------
% 0.17/0.43 % (7705)Success in time 0.1 s
%------------------------------------------------------------------------------