TSTP Solution File: SWC339-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC339-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 05:13:18 EDT 2024
% Result : Unsatisfiable 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 396
% Syntax : Number of formulae : 666 ( 246 unt; 0 def)
% Number of atoms : 1890 ( 234 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2195 ( 971 ~;1014 |; 0 &)
% ( 210 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 231 ( 229 usr; 211 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 685 ( 685 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2427,plain,
$false,
inference(avatar_sat_refutation,[],[f238,f243,f248,f253,f258,f263,f272,f277,f282,f287,f292,f297,f302,f307,f312,f317,f322,f327,f332,f336,f340,f344,f348,f352,f356,f360,f364,f368,f372,f376,f380,f384,f388,f392,f396,f400,f404,f408,f412,f416,f420,f424,f428,f432,f436,f440,f444,f448,f452,f456,f460,f464,f468,f472,f476,f481,f485,f489,f493,f497,f501,f505,f509,f513,f517,f521,f525,f529,f533,f537,f541,f545,f549,f553,f557,f561,f565,f569,f573,f577,f581,f588,f592,f596,f600,f604,f672,f676,f680,f684,f689,f693,f697,f720,f724,f729,f733,f737,f741,f745,f749,f753,f757,f761,f765,f769,f774,f779,f783,f787,f791,f795,f799,f803,f807,f811,f816,f820,f824,f828,f832,f836,f851,f863,f867,f872,f876,f880,f958,f962,f966,f970,f975,f979,f983,f987,f991,f995,f999,f1003,f1047,f1051,f1062,f1066,f1070,f1074,f1078,f1082,f1166,f1170,f1174,f1178,f1182,f1186,f1201,f1205,f1209,f1213,f1258,f1262,f1266,f1270,f1355,f1359,f1363,f1367,f1371,f1375,f1379,f1487,f1491,f1495,f1499,f1519,f1523,f1527,f1573,f1655,f1659,f1692,f1696,f1700,f1704,f1709,f1713,f1717,f1931,f1937,f1943,f1948,f1952,f1987,f1991,f1995,f2013,f2057,f2101,f2141,f2181,f2223,f2229,f2276,f2319,f2327,f2386,f2426]) ).
fof(f2426,plain,
( ~ spl0_2
| ~ spl0_1
| ~ spl0_5
| ~ spl0_4
| spl0_6
| ~ spl0_9
| ~ spl0_181 ),
inference(avatar_split_clause,[],[f1676,f1657,f274,f260,f250,f255,f235,f240]) ).
fof(f240,plain,
( spl0_2
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f235,plain,
( spl0_1
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f255,plain,
( spl0_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f250,plain,
( spl0_4
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f260,plain,
( spl0_6
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f274,plain,
( spl0_9
<=> sk4 = app(app(sk5,sk3),sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f1657,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f1676,plain,
( segmentP(sk4,sk3)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ spl0_9
| ~ spl0_181 ),
inference(superposition,[],[f1658,f276]) ).
fof(f276,plain,
( sk4 = app(app(sk5,sk3),sk6)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f1658,plain,
( ! [X2,X0,X1] :
( segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) )
| ~ spl0_181 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f2386,plain,
( ~ spl0_210
| spl0_198
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2335,f2098,f2010,f2383]) ).
fof(f2383,plain,
( spl0_210
<=> sk4 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2010,plain,
( spl0_198
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f2098,plain,
( spl0_202
<=> nil = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f2335,plain,
( sk4 != sk6
| spl0_198
| ~ spl0_202 ),
inference(forward_demodulation,[],[f2011,f2100]) ).
fof(f2100,plain,
( nil = sk6
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f2098]) ).
fof(f2011,plain,
( nil != sk4
| spl0_198 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2327,plain,
( spl0_209
| ~ spl0_200
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f2322,f2098,f2054,f2324]) ).
fof(f2324,plain,
( spl0_209
<=> sk5 = sk6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f2054,plain,
( spl0_200
<=> nil = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f2322,plain,
( sk5 = sk6
| ~ spl0_200
| ~ spl0_202 ),
inference(forward_demodulation,[],[f2100,f2056]) ).
fof(f2056,plain,
( nil = sk5
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f2054]) ).
fof(f2319,plain,
( spl0_208
| spl0_202
| ~ spl0_2
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f950,f865,f240,f2098,f2316]) ).
fof(f2316,plain,
( spl0_208
<=> sk6 = cons(skaf83(sk6),skaf82(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f865,plain,
( spl0_127
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f950,plain,
( nil = sk6
| sk6 = cons(skaf83(sk6),skaf82(sk6))
| ~ spl0_2
| ~ spl0_127 ),
inference(resolution,[],[f866,f242]) ).
fof(f242,plain,
( ssList(sk6)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f240]) ).
fof(f866,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 )
| ~ spl0_127 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f2276,plain,
( ~ spl0_207
| spl0_198
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f2235,f2054,f2010,f2273]) ).
fof(f2273,plain,
( spl0_207
<=> sk4 = sk5 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f2235,plain,
( sk4 != sk5
| spl0_198
| ~ spl0_200 ),
inference(forward_demodulation,[],[f2011,f2056]) ).
fof(f2229,plain,
( spl0_206
| ~ spl0_10
| ~ spl0_198 ),
inference(avatar_split_clause,[],[f2183,f2010,f279,f2226]) ).
fof(f2226,plain,
( spl0_206
<=> equalelemsP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f279,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2183,plain,
( equalelemsP(sk4)
| ~ spl0_10
| ~ spl0_198 ),
inference(superposition,[],[f281,f2012]) ).
fof(f2012,plain,
( nil = sk4
| ~ spl0_198 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f281,plain,
( equalelemsP(nil)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f2223,plain,
( spl0_205
| spl0_200
| ~ spl0_1
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f949,f865,f235,f2054,f2220]) ).
fof(f2220,plain,
( spl0_205
<=> sk5 = cons(skaf83(sk5),skaf82(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f949,plain,
( nil = sk5
| sk5 = cons(skaf83(sk5),skaf82(sk5))
| ~ spl0_1
| ~ spl0_127 ),
inference(resolution,[],[f866,f237]) ).
fof(f237,plain,
( ssList(sk5)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f2181,plain,
( spl0_204
| spl0_198
| ~ spl0_4
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f948,f865,f250,f2010,f2178]) ).
fof(f2178,plain,
( spl0_204
<=> sk4 = cons(skaf83(sk4),skaf82(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f948,plain,
( nil = sk4
| sk4 = cons(skaf83(sk4),skaf82(sk4))
| ~ spl0_4
| ~ spl0_127 ),
inference(resolution,[],[f866,f252]) ).
fof(f252,plain,
( ssList(sk4)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f2141,plain,
( spl0_203
| spl0_8
| ~ spl0_5
| ~ spl0_127 ),
inference(avatar_split_clause,[],[f947,f865,f255,f269,f2138]) ).
fof(f2138,plain,
( spl0_203
<=> sk3 = cons(skaf83(sk3),skaf82(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f269,plain,
( spl0_8
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f947,plain,
( nil = sk3
| sk3 = cons(skaf83(sk3),skaf82(sk3))
| ~ spl0_5
| ~ spl0_127 ),
inference(resolution,[],[f866,f257]) ).
fof(f257,plain,
( ssList(sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f2101,plain,
( spl0_201
| spl0_202
| ~ spl0_2
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f915,f861,f240,f2098,f2094]) ).
fof(f2094,plain,
( spl0_201
<=> sk6 = cons(hd(sk6),tl(sk6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f861,plain,
( spl0_126
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f915,plain,
( nil = sk6
| sk6 = cons(hd(sk6),tl(sk6))
| ~ spl0_2
| ~ spl0_126 ),
inference(resolution,[],[f862,f242]) ).
fof(f862,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 )
| ~ spl0_126 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f2057,plain,
( spl0_199
| spl0_200
| ~ spl0_1
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f914,f861,f235,f2054,f2050]) ).
fof(f2050,plain,
( spl0_199
<=> sk5 = cons(hd(sk5),tl(sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f914,plain,
( nil = sk5
| sk5 = cons(hd(sk5),tl(sk5))
| ~ spl0_1
| ~ spl0_126 ),
inference(resolution,[],[f862,f237]) ).
fof(f2013,plain,
( spl0_197
| spl0_198
| ~ spl0_4
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f913,f861,f250,f2010,f2006]) ).
fof(f2006,plain,
( spl0_197
<=> sk4 = cons(hd(sk4),tl(sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f913,plain,
( nil = sk4
| sk4 = cons(hd(sk4),tl(sk4))
| ~ spl0_4
| ~ spl0_126 ),
inference(resolution,[],[f862,f252]) ).
fof(f1995,plain,
spl0_196,
inference(avatar_split_clause,[],[f226,f1993]) ).
fof(f1993,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).
fof(f1991,plain,
spl0_195,
inference(avatar_split_clause,[],[f225,f1989]) ).
fof(f1989,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f225,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).
fof(f1987,plain,
spl0_194,
inference(avatar_split_clause,[],[f224,f1985]) ).
fof(f1985,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f224,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).
fof(f1952,plain,
spl0_193,
inference(avatar_split_clause,[],[f223,f1950]) ).
fof(f1950,plain,
( spl0_193
<=> ! [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_193])]) ).
fof(f223,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f1948,plain,
spl0_192,
inference(avatar_split_clause,[],[f222,f1946]) ).
fof(f1946,plain,
( spl0_192
<=> ! [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_192])]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).
fof(f1943,plain,
spl0_191,
inference(avatar_split_clause,[],[f219,f1941]) ).
fof(f1941,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f219,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).
fof(f1937,plain,
spl0_190,
inference(avatar_split_clause,[],[f221,f1935]) ).
fof(f1935,plain,
( spl0_190
<=> ! [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_190])]) ).
fof(f221,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause180) ).
fof(f1931,plain,
spl0_189,
inference(avatar_split_clause,[],[f177,f1929]) ).
fof(f1929,plain,
( spl0_189
<=> ! [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_189])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause177) ).
fof(f1717,plain,
spl0_188,
inference(avatar_split_clause,[],[f167,f1715]) ).
fof(f1715,plain,
( spl0_188
<=> ! [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_188])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).
fof(f1713,plain,
spl0_187,
inference(avatar_split_clause,[],[f166,f1711]) ).
fof(f1711,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause166) ).
fof(f1709,plain,
( spl0_186
| ~ spl0_3
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1574,f265,f245,f1706]) ).
fof(f1706,plain,
( spl0_186
<=> totalorderedP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f245,plain,
( spl0_3
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f265,plain,
( spl0_7
<=> sk3 = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f1574,plain,
( totalorderedP(sk4)
| ~ spl0_3
| ~ spl0_7 ),
inference(superposition,[],[f247,f267]) ).
fof(f267,plain,
( sk3 = sk4
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f247,plain,
( totalorderedP(sk3)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f245]) ).
fof(f1704,plain,
spl0_185,
inference(avatar_split_clause,[],[f165,f1702]) ).
fof(f1702,plain,
( spl0_185
<=> ! [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_185])]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).
fof(f1700,plain,
spl0_184,
inference(avatar_split_clause,[],[f164,f1698]) ).
fof(f1698,plain,
( spl0_184
<=> ! [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_184])]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).
fof(f1696,plain,
spl0_183,
inference(avatar_split_clause,[],[f163,f1694]) ).
fof(f1694,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).
fof(f1692,plain,
spl0_182,
inference(avatar_split_clause,[],[f162,f1690]) ).
fof(f1690,plain,
( spl0_182
<=> ! [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_182])]) ).
fof(f162,axiom,
! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| app(app(skaf75(X0),cons(skaf74(X0),skaf76(X0))),cons(skaf74(X0),skaf77(X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause162) ).
fof(f1659,plain,
spl0_181,
inference(avatar_split_clause,[],[f218,f1657]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f1655,plain,
spl0_180,
inference(avatar_split_clause,[],[f217,f1653]) ).
fof(f1653,plain,
( spl0_180
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f1573,plain,
( spl0_179
| spl0_8
| ~ spl0_5
| ~ spl0_126 ),
inference(avatar_split_clause,[],[f912,f861,f255,f269,f1570]) ).
fof(f1570,plain,
( spl0_179
<=> sk3 = cons(hd(sk3),tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f912,plain,
( nil = sk3
| sk3 = cons(hd(sk3),tl(sk3))
| ~ spl0_5
| ~ spl0_126 ),
inference(resolution,[],[f862,f257]) ).
fof(f1527,plain,
spl0_178,
inference(avatar_split_clause,[],[f176,f1525]) ).
fof(f1525,plain,
( spl0_178
<=> ! [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_178])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause176) ).
fof(f1523,plain,
spl0_177,
inference(avatar_split_clause,[],[f174,f1521]) ).
fof(f1521,plain,
( spl0_177
<=> ! [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_177])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).
fof(f1519,plain,
spl0_176,
inference(avatar_split_clause,[],[f172,f1517]) ).
fof(f1517,plain,
( spl0_176
<=> ! [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_176])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f1499,plain,
spl0_175,
inference(avatar_split_clause,[],[f171,f1497]) ).
fof(f1497,plain,
( spl0_175
<=> ! [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_175])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f1495,plain,
spl0_174,
inference(avatar_split_clause,[],[f170,f1493]) ).
fof(f1493,plain,
( spl0_174
<=> ! [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_174])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f1491,plain,
spl0_173,
inference(avatar_split_clause,[],[f169,f1489]) ).
fof(f1489,plain,
( spl0_173
<=> ! [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_173])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1487,plain,
spl0_172,
inference(avatar_split_clause,[],[f168,f1485]) ).
fof(f1485,plain,
( spl0_172
<=> ! [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_172])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f1379,plain,
spl0_171,
inference(avatar_split_clause,[],[f161,f1377]) ).
fof(f1377,plain,
( spl0_171
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f1375,plain,
spl0_170,
inference(avatar_split_clause,[],[f160,f1373]) ).
fof(f1373,plain,
( spl0_170
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).
fof(f1371,plain,
spl0_169,
inference(avatar_split_clause,[],[f159,f1369]) ).
fof(f1369,plain,
( spl0_169
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause159) ).
fof(f1367,plain,
spl0_168,
inference(avatar_split_clause,[],[f158,f1365]) ).
fof(f1365,plain,
( spl0_168
<=> ! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1363,plain,
spl0_167,
inference(avatar_split_clause,[],[f157,f1361]) ).
fof(f1361,plain,
( spl0_167
<=> ! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f1359,plain,
spl0_166,
inference(avatar_split_clause,[],[f149,f1357]) ).
fof(f1357,plain,
( spl0_166
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f1355,plain,
spl0_165,
inference(avatar_split_clause,[],[f142,f1353]) ).
fof(f1353,plain,
( spl0_165
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).
fof(f1270,plain,
spl0_164,
inference(avatar_split_clause,[],[f227,f1268]) ).
fof(f1268,plain,
( spl0_164
<=> ! [X0,X1,X3] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f227,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f220]) ).
fof(f220,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).
fof(f1266,plain,
spl0_163,
inference(avatar_split_clause,[],[f151,f1264]) ).
fof(f1264,plain,
( spl0_163
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f1262,plain,
spl0_162,
inference(avatar_split_clause,[],[f150,f1260]) ).
fof(f1260,plain,
( spl0_162
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f1258,plain,
spl0_161,
inference(avatar_split_clause,[],[f133,f1256]) ).
fof(f1256,plain,
( spl0_161
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).
fof(f1213,plain,
spl0_160,
inference(avatar_split_clause,[],[f156,f1211]) ).
fof(f1211,plain,
( spl0_160
<=> ! [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_160])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause156) ).
fof(f1209,plain,
spl0_159,
inference(avatar_split_clause,[],[f155,f1207]) ).
fof(f1207,plain,
( spl0_159
<=> ! [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_159])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).
fof(f1205,plain,
spl0_158,
inference(avatar_split_clause,[],[f154,f1203]) ).
fof(f1203,plain,
( spl0_158
<=> ! [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_158])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause154) ).
fof(f1201,plain,
spl0_157,
inference(avatar_split_clause,[],[f153,f1199]) ).
fof(f1199,plain,
( spl0_157
<=> ! [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_157])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).
fof(f1186,plain,
spl0_156,
inference(avatar_split_clause,[],[f152,f1184]) ).
fof(f1184,plain,
( spl0_156
<=> ! [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_156])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f1182,plain,
spl0_155,
inference(avatar_split_clause,[],[f148,f1180]) ).
fof(f1180,plain,
( spl0_155
<=> ! [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_155])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause148) ).
fof(f1178,plain,
spl0_154,
inference(avatar_split_clause,[],[f147,f1176]) ).
fof(f1176,plain,
( spl0_154
<=> ! [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_154])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f1174,plain,
spl0_153,
inference(avatar_split_clause,[],[f146,f1172]) ).
fof(f1172,plain,
( spl0_153
<=> ! [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_153])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).
fof(f1170,plain,
spl0_152,
inference(avatar_split_clause,[],[f135,f1168]) ).
fof(f1168,plain,
( spl0_152
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause135) ).
fof(f1166,plain,
spl0_151,
inference(avatar_split_clause,[],[f134,f1164]) ).
fof(f1164,plain,
( spl0_151
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).
fof(f1082,plain,
spl0_150,
inference(avatar_split_clause,[],[f141,f1080]) ).
fof(f1080,plain,
( spl0_150
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1078,plain,
spl0_149,
inference(avatar_split_clause,[],[f140,f1076]) ).
fof(f1076,plain,
( spl0_149
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1074,plain,
spl0_148,
inference(avatar_split_clause,[],[f139,f1072]) ).
fof(f1072,plain,
( spl0_148
<=> ! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1070,plain,
spl0_147,
inference(avatar_split_clause,[],[f137,f1068]) ).
fof(f1068,plain,
( spl0_147
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).
fof(f1066,plain,
spl0_146,
inference(avatar_split_clause,[],[f136,f1064]) ).
fof(f1064,plain,
( spl0_146
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).
fof(f1062,plain,
spl0_145,
inference(avatar_split_clause,[],[f132,f1060]) ).
fof(f1060,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause132) ).
fof(f1051,plain,
spl0_144,
inference(avatar_split_clause,[],[f131,f1049]) ).
fof(f1049,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause131) ).
fof(f1047,plain,
spl0_143,
inference(avatar_split_clause,[],[f123,f1045]) ).
fof(f1045,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).
fof(f1003,plain,
spl0_142,
inference(avatar_split_clause,[],[f214,f1001]) ).
fof(f1001,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f214,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause144) ).
fof(f999,plain,
spl0_141,
inference(avatar_split_clause,[],[f213,f997]) ).
fof(f997,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f213,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause143) ).
fof(f995,plain,
spl0_140,
inference(avatar_split_clause,[],[f130,f993]) ).
fof(f993,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).
fof(f991,plain,
spl0_139,
inference(avatar_split_clause,[],[f129,f989]) ).
fof(f989,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).
fof(f987,plain,
spl0_138,
inference(avatar_split_clause,[],[f128,f985]) ).
fof(f985,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).
fof(f983,plain,
spl0_137,
inference(avatar_split_clause,[],[f127,f981]) ).
fof(f981,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f979,plain,
spl0_136,
inference(avatar_split_clause,[],[f126,f977]) ).
fof(f977,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).
fof(f975,plain,
( spl0_135
| ~ spl0_2
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f668,f602,f240,f972]) ).
fof(f972,plain,
( spl0_135
<=> sk6 = app(nil,sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f602,plain,
( spl0_88
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f668,plain,
( sk6 = app(nil,sk6)
| ~ spl0_2
| ~ spl0_88 ),
inference(resolution,[],[f603,f242]) ).
fof(f603,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f970,plain,
spl0_134,
inference(avatar_split_clause,[],[f125,f968]) ).
fof(f968,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).
fof(f966,plain,
spl0_133,
inference(avatar_split_clause,[],[f124,f964]) ).
fof(f964,plain,
( spl0_133
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).
fof(f962,plain,
spl0_132,
inference(avatar_split_clause,[],[f121,f960]) ).
fof(f960,plain,
( spl0_132
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).
fof(f958,plain,
spl0_131,
inference(avatar_split_clause,[],[f120,f956]) ).
fof(f956,plain,
( spl0_131
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f880,plain,
spl0_130,
inference(avatar_split_clause,[],[f119,f878]) ).
fof(f878,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f876,plain,
spl0_129,
inference(avatar_split_clause,[],[f118,f874]) ).
fof(f874,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f872,plain,
( spl0_128
| ~ spl0_1
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f667,f602,f235,f869]) ).
fof(f869,plain,
( spl0_128
<=> sk5 = app(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f667,plain,
( sk5 = app(nil,sk5)
| ~ spl0_1
| ~ spl0_88 ),
inference(resolution,[],[f603,f237]) ).
fof(f867,plain,
spl0_127,
inference(avatar_split_clause,[],[f109,f865]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).
fof(f863,plain,
spl0_126,
inference(avatar_split_clause,[],[f104,f861]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause104) ).
fof(f851,plain,
( spl0_125
| ~ spl0_4
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f666,f602,f250,f848]) ).
fof(f848,plain,
( spl0_125
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f666,plain,
( sk4 = app(nil,sk4)
| ~ spl0_4
| ~ spl0_88 ),
inference(resolution,[],[f603,f252]) ).
fof(f836,plain,
spl0_124,
inference(avatar_split_clause,[],[f208,f834]) ).
fof(f834,plain,
( spl0_124
<=> ! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f208,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause116) ).
fof(f832,plain,
spl0_123,
inference(avatar_split_clause,[],[f114,f830]) ).
fof(f830,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f828,plain,
spl0_122,
inference(avatar_split_clause,[],[f110,f826]) ).
fof(f826,plain,
( spl0_122
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).
fof(f824,plain,
spl0_121,
inference(avatar_split_clause,[],[f108,f822]) ).
fof(f822,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).
fof(f820,plain,
spl0_120,
inference(avatar_split_clause,[],[f107,f818]) ).
fof(f818,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).
fof(f816,plain,
( spl0_119
| ~ spl0_5
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f665,f602,f255,f813]) ).
fof(f813,plain,
( spl0_119
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f665,plain,
( sk3 = app(nil,sk3)
| ~ spl0_5
| ~ spl0_88 ),
inference(resolution,[],[f603,f257]) ).
fof(f811,plain,
spl0_118,
inference(avatar_split_clause,[],[f106,f809]) ).
fof(f809,plain,
( spl0_118
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).
fof(f807,plain,
spl0_117,
inference(avatar_split_clause,[],[f105,f805]) ).
fof(f805,plain,
( spl0_117
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).
fof(f803,plain,
spl0_116,
inference(avatar_split_clause,[],[f103,f801]) ).
fof(f801,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause103) ).
fof(f799,plain,
spl0_115,
inference(avatar_split_clause,[],[f102,f797]) ).
fof(f797,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).
fof(f795,plain,
spl0_114,
inference(avatar_split_clause,[],[f101,f793]) ).
fof(f793,plain,
( spl0_114
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).
fof(f791,plain,
spl0_113,
inference(avatar_split_clause,[],[f100,f789]) ).
fof(f789,plain,
( spl0_113
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f787,plain,
spl0_112,
inference(avatar_split_clause,[],[f97,f785]) ).
fof(f785,plain,
( spl0_112
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).
fof(f783,plain,
spl0_111,
inference(avatar_split_clause,[],[f96,f781]) ).
fof(f781,plain,
( spl0_111
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).
fof(f779,plain,
( spl0_110
| ~ spl0_2
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f636,f598,f240,f776]) ).
fof(f776,plain,
( spl0_110
<=> sk6 = app(sk6,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f598,plain,
( spl0_87
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f636,plain,
( sk6 = app(sk6,nil)
| ~ spl0_2
| ~ spl0_87 ),
inference(resolution,[],[f599,f242]) ).
fof(f599,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f774,plain,
( spl0_109
| ~ spl0_1
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f635,f598,f235,f771]) ).
fof(f771,plain,
( spl0_109
<=> sk5 = app(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f635,plain,
( sk5 = app(sk5,nil)
| ~ spl0_1
| ~ spl0_87 ),
inference(resolution,[],[f599,f237]) ).
fof(f769,plain,
spl0_108,
inference(avatar_split_clause,[],[f229,f767]) ).
fof(f767,plain,
( spl0_108
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f229,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f765,plain,
spl0_107,
inference(avatar_split_clause,[],[f99,f763]) ).
fof(f763,plain,
( spl0_107
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f761,plain,
spl0_106,
inference(avatar_split_clause,[],[f98,f759]) ).
fof(f759,plain,
( spl0_106
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f757,plain,
spl0_105,
inference(avatar_split_clause,[],[f95,f755]) ).
fof(f755,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).
fof(f753,plain,
spl0_104,
inference(avatar_split_clause,[],[f94,f751]) ).
fof(f751,plain,
( spl0_104
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).
fof(f749,plain,
spl0_103,
inference(avatar_split_clause,[],[f93,f747]) ).
fof(f747,plain,
( spl0_103
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause93) ).
fof(f745,plain,
spl0_102,
inference(avatar_split_clause,[],[f92,f743]) ).
fof(f743,plain,
( spl0_102
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).
fof(f741,plain,
spl0_101,
inference(avatar_split_clause,[],[f91,f739]) ).
fof(f739,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).
fof(f737,plain,
spl0_100,
inference(avatar_split_clause,[],[f90,f735]) ).
fof(f735,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).
fof(f733,plain,
spl0_99,
inference(avatar_split_clause,[],[f89,f731]) ).
fof(f731,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).
fof(f729,plain,
( spl0_98
| ~ spl0_4
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f634,f598,f250,f726]) ).
fof(f726,plain,
( spl0_98
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f634,plain,
( sk4 = app(sk4,nil)
| ~ spl0_4
| ~ spl0_87 ),
inference(resolution,[],[f599,f252]) ).
fof(f724,plain,
spl0_97,
inference(avatar_split_clause,[],[f88,f722]) ).
fof(f722,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).
fof(f720,plain,
spl0_96,
inference(avatar_split_clause,[],[f87,f718]) ).
fof(f718,plain,
( spl0_96
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).
fof(f697,plain,
spl0_95,
inference(avatar_split_clause,[],[f86,f695]) ).
fof(f695,plain,
( spl0_95
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f693,plain,
spl0_94,
inference(avatar_split_clause,[],[f85,f691]) ).
fof(f691,plain,
( spl0_94
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f689,plain,
( spl0_93
| ~ spl0_5
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f633,f598,f255,f686]) ).
fof(f686,plain,
( spl0_93
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f633,plain,
( sk3 = app(sk3,nil)
| ~ spl0_5
| ~ spl0_87 ),
inference(resolution,[],[f599,f257]) ).
fof(f684,plain,
spl0_92,
inference(avatar_split_clause,[],[f84,f682]) ).
fof(f682,plain,
( spl0_92
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).
fof(f680,plain,
spl0_91,
inference(avatar_split_clause,[],[f82,f678]) ).
fof(f678,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).
fof(f676,plain,
spl0_90,
inference(avatar_split_clause,[],[f80,f674]) ).
fof(f674,plain,
( spl0_90
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).
fof(f672,plain,
spl0_89,
inference(avatar_split_clause,[],[f77,f670]) ).
fof(f670,plain,
( spl0_89
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f77,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).
fof(f604,plain,
spl0_88,
inference(avatar_split_clause,[],[f74,f602]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f600,plain,
spl0_87,
inference(avatar_split_clause,[],[f73,f598]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f596,plain,
spl0_86,
inference(avatar_split_clause,[],[f197,f594]) ).
fof(f594,plain,
( spl0_86
<=> ! [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_86])]) ).
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/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f592,plain,
spl0_85,
inference(avatar_split_clause,[],[f196,f590]) ).
fof(f590,plain,
( spl0_85
<=> ! [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_85])]) ).
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/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f588,plain,
( spl0_83
| spl0_84 ),
inference(avatar_split_clause,[],[f72,f586,f583]) ).
fof(f583,plain,
( spl0_83
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f586,plain,
( spl0_84
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f581,plain,
spl0_82,
inference(avatar_split_clause,[],[f70,f579]) ).
fof(f579,plain,
( spl0_82
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).
fof(f577,plain,
spl0_81,
inference(avatar_split_clause,[],[f69,f575]) ).
fof(f575,plain,
( spl0_81
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause69) ).
fof(f573,plain,
spl0_80,
inference(avatar_split_clause,[],[f68,f571]) ).
fof(f571,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause68) ).
fof(f569,plain,
spl0_79,
inference(avatar_split_clause,[],[f67,f567]) ).
fof(f567,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f565,plain,
spl0_78,
inference(avatar_split_clause,[],[f66,f563]) ).
fof(f563,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f561,plain,
spl0_77,
inference(avatar_split_clause,[],[f65,f559]) ).
fof(f559,plain,
( spl0_77
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause65) ).
fof(f557,plain,
spl0_76,
inference(avatar_split_clause,[],[f64,f555]) ).
fof(f555,plain,
( spl0_76
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).
fof(f553,plain,
spl0_75,
inference(avatar_split_clause,[],[f232,f551]) ).
fof(f551,plain,
( spl0_75
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f232,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f206]) ).
fof(f206,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).
fof(f549,plain,
spl0_74,
inference(avatar_split_clause,[],[f230,f547]) ).
fof(f547,plain,
( spl0_74
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f230,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f211,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).
fof(f545,plain,
spl0_73,
inference(avatar_split_clause,[],[f71,f543]) ).
fof(f543,plain,
( spl0_73
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause71) ).
fof(f541,plain,
spl0_72,
inference(avatar_split_clause,[],[f63,f539]) ).
fof(f539,plain,
( spl0_72
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).
fof(f537,plain,
spl0_71,
inference(avatar_split_clause,[],[f62,f535]) ).
fof(f535,plain,
( spl0_71
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).
fof(f533,plain,
spl0_70,
inference(avatar_split_clause,[],[f61,f531]) ).
fof(f531,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f529,plain,
spl0_69,
inference(avatar_split_clause,[],[f60,f527]) ).
fof(f527,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause60) ).
fof(f525,plain,
spl0_68,
inference(avatar_split_clause,[],[f59,f523]) ).
fof(f523,plain,
( spl0_68
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).
fof(f521,plain,
spl0_67,
inference(avatar_split_clause,[],[f58,f519]) ).
fof(f519,plain,
( spl0_67
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause58) ).
fof(f517,plain,
spl0_66,
inference(avatar_split_clause,[],[f57,f515]) ).
fof(f515,plain,
( spl0_66
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f513,plain,
spl0_65,
inference(avatar_split_clause,[],[f56,f511]) ).
fof(f511,plain,
( spl0_65
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f509,plain,
spl0_64,
inference(avatar_split_clause,[],[f55,f507]) ).
fof(f507,plain,
( spl0_64
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).
fof(f505,plain,
spl0_63,
inference(avatar_split_clause,[],[f53,f503]) ).
fof(f503,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f501,plain,
spl0_62,
inference(avatar_split_clause,[],[f52,f499]) ).
fof(f499,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f497,plain,
spl0_61,
inference(avatar_split_clause,[],[f51,f495]) ).
fof(f495,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).
fof(f493,plain,
spl0_60,
inference(avatar_split_clause,[],[f50,f491]) ).
fof(f491,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).
fof(f489,plain,
spl0_59,
inference(avatar_split_clause,[],[f49,f487]) ).
fof(f487,plain,
( spl0_59
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f485,plain,
spl0_58,
inference(avatar_split_clause,[],[f48,f483]) ).
fof(f483,plain,
( spl0_58
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f481,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f54,f478]) ).
fof(f478,plain,
( spl0_57
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f476,plain,
spl0_56,
inference(avatar_split_clause,[],[f47,f474]) ).
fof(f474,plain,
( spl0_56
<=> ! [X0] : ssItem(skaf44(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f47,axiom,
! [X0] : ssItem(skaf44(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).
fof(f472,plain,
spl0_55,
inference(avatar_split_clause,[],[f46,f470]) ).
fof(f470,plain,
( spl0_55
<=> ! [X0] : ssItem(skaf49(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f46,axiom,
! [X0] : ssItem(skaf49(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).
fof(f468,plain,
spl0_54,
inference(avatar_split_clause,[],[f45,f466]) ).
fof(f466,plain,
( spl0_54
<=> ! [X0] : ssItem(skaf50(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f45,axiom,
! [X0] : ssItem(skaf50(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
fof(f464,plain,
spl0_53,
inference(avatar_split_clause,[],[f44,f462]) ).
fof(f462,plain,
( spl0_53
<=> ! [X0] : ssList(skaf51(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f44,axiom,
! [X0] : ssList(skaf51(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).
fof(f460,plain,
spl0_52,
inference(avatar_split_clause,[],[f43,f458]) ).
fof(f458,plain,
( spl0_52
<=> ! [X0] : ssList(skaf52(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f43,axiom,
! [X0] : ssList(skaf52(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
fof(f456,plain,
spl0_51,
inference(avatar_split_clause,[],[f42,f454]) ).
fof(f454,plain,
( spl0_51
<=> ! [X0] : ssList(skaf53(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f42,axiom,
! [X0] : ssList(skaf53(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).
fof(f452,plain,
spl0_50,
inference(avatar_split_clause,[],[f41,f450]) ).
fof(f450,plain,
( spl0_50
<=> ! [X0] : ssItem(skaf54(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f41,axiom,
! [X0] : ssItem(skaf54(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).
fof(f448,plain,
spl0_49,
inference(avatar_split_clause,[],[f40,f446]) ).
fof(f446,plain,
( spl0_49
<=> ! [X0] : ssItem(skaf55(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f40,axiom,
! [X0] : ssItem(skaf55(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).
fof(f444,plain,
spl0_48,
inference(avatar_split_clause,[],[f39,f442]) ).
fof(f442,plain,
( spl0_48
<=> ! [X0] : ssList(skaf56(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f39,axiom,
! [X0] : ssList(skaf56(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
fof(f440,plain,
spl0_47,
inference(avatar_split_clause,[],[f38,f438]) ).
fof(f438,plain,
( spl0_47
<=> ! [X0] : ssList(skaf57(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f38,axiom,
! [X0] : ssList(skaf57(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
fof(f436,plain,
spl0_46,
inference(avatar_split_clause,[],[f37,f434]) ).
fof(f434,plain,
( spl0_46
<=> ! [X0] : ssList(skaf58(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f37,axiom,
! [X0] : ssList(skaf58(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
fof(f432,plain,
spl0_45,
inference(avatar_split_clause,[],[f36,f430]) ).
fof(f430,plain,
( spl0_45
<=> ! [X0] : ssItem(skaf59(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f36,axiom,
! [X0] : ssItem(skaf59(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).
fof(f428,plain,
spl0_44,
inference(avatar_split_clause,[],[f35,f426]) ).
fof(f426,plain,
( spl0_44
<=> ! [X0] : ssItem(skaf60(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f35,axiom,
! [X0] : ssItem(skaf60(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).
fof(f424,plain,
spl0_43,
inference(avatar_split_clause,[],[f34,f422]) ).
fof(f422,plain,
( spl0_43
<=> ! [X0] : ssList(skaf61(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f34,axiom,
! [X0] : ssList(skaf61(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).
fof(f420,plain,
spl0_42,
inference(avatar_split_clause,[],[f33,f418]) ).
fof(f418,plain,
( spl0_42
<=> ! [X0] : ssList(skaf62(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f33,axiom,
! [X0] : ssList(skaf62(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
fof(f416,plain,
spl0_41,
inference(avatar_split_clause,[],[f32,f414]) ).
fof(f414,plain,
( spl0_41
<=> ! [X0] : ssList(skaf63(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f32,axiom,
! [X0] : ssList(skaf63(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
fof(f412,plain,
spl0_40,
inference(avatar_split_clause,[],[f31,f410]) ).
fof(f410,plain,
( spl0_40
<=> ! [X0] : ssItem(skaf64(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f31,axiom,
! [X0] : ssItem(skaf64(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
fof(f408,plain,
spl0_39,
inference(avatar_split_clause,[],[f30,f406]) ).
fof(f406,plain,
( spl0_39
<=> ! [X0] : ssItem(skaf65(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f30,axiom,
! [X0] : ssItem(skaf65(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).
fof(f404,plain,
spl0_38,
inference(avatar_split_clause,[],[f29,f402]) ).
fof(f402,plain,
( spl0_38
<=> ! [X0] : ssList(skaf66(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f29,axiom,
! [X0] : ssList(skaf66(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
fof(f400,plain,
spl0_37,
inference(avatar_split_clause,[],[f28,f398]) ).
fof(f398,plain,
( spl0_37
<=> ! [X0] : ssList(skaf67(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f28,axiom,
! [X0] : ssList(skaf67(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).
fof(f396,plain,
spl0_36,
inference(avatar_split_clause,[],[f27,f394]) ).
fof(f394,plain,
( spl0_36
<=> ! [X0] : ssList(skaf68(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f27,axiom,
! [X0] : ssList(skaf68(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
fof(f392,plain,
spl0_35,
inference(avatar_split_clause,[],[f26,f390]) ).
fof(f390,plain,
( spl0_35
<=> ! [X0] : ssItem(skaf69(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f26,axiom,
! [X0] : ssItem(skaf69(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
fof(f388,plain,
spl0_34,
inference(avatar_split_clause,[],[f25,f386]) ).
fof(f386,plain,
( spl0_34
<=> ! [X0] : ssItem(skaf70(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f25,axiom,
! [X0] : ssItem(skaf70(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).
fof(f384,plain,
spl0_33,
inference(avatar_split_clause,[],[f24,f382]) ).
fof(f382,plain,
( spl0_33
<=> ! [X0] : ssList(skaf71(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f24,axiom,
! [X0] : ssList(skaf71(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
fof(f380,plain,
spl0_32,
inference(avatar_split_clause,[],[f23,f378]) ).
fof(f378,plain,
( spl0_32
<=> ! [X0] : ssList(skaf72(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f23,axiom,
! [X0] : ssList(skaf72(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
fof(f376,plain,
spl0_31,
inference(avatar_split_clause,[],[f22,f374]) ).
fof(f374,plain,
( spl0_31
<=> ! [X0] : ssList(skaf73(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f22,axiom,
! [X0] : ssList(skaf73(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).
fof(f372,plain,
spl0_30,
inference(avatar_split_clause,[],[f21,f370]) ).
fof(f370,plain,
( spl0_30
<=> ! [X0] : ssItem(skaf74(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f21,axiom,
! [X0] : ssItem(skaf74(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).
fof(f368,plain,
spl0_29,
inference(avatar_split_clause,[],[f20,f366]) ).
fof(f366,plain,
( spl0_29
<=> ! [X0] : ssList(skaf75(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f20,axiom,
! [X0] : ssList(skaf75(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).
fof(f364,plain,
spl0_28,
inference(avatar_split_clause,[],[f19,f362]) ).
fof(f362,plain,
( spl0_28
<=> ! [X0] : ssList(skaf76(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f19,axiom,
! [X0] : ssList(skaf76(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).
fof(f360,plain,
spl0_27,
inference(avatar_split_clause,[],[f18,f358]) ).
fof(f358,plain,
( spl0_27
<=> ! [X0] : ssList(skaf77(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f18,axiom,
! [X0] : ssList(skaf77(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).
fof(f356,plain,
spl0_26,
inference(avatar_split_clause,[],[f17,f354]) ).
fof(f354,plain,
( spl0_26
<=> ! [X0] : ssItem(skaf78(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f17,axiom,
! [X0] : ssItem(skaf78(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).
fof(f352,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f350]) ).
fof(f350,plain,
( spl0_25
<=> ! [X0] : ssItem(skaf79(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f16,axiom,
! [X0] : ssItem(skaf79(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).
fof(f348,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f346]) ).
fof(f346,plain,
( spl0_24
<=> ! [X0] : ssList(skaf80(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f15,axiom,
! [X0] : ssList(skaf80(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
fof(f344,plain,
spl0_23,
inference(avatar_split_clause,[],[f14,f342]) ).
fof(f342,plain,
( spl0_23
<=> ! [X0] : ssList(skaf81(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f14,axiom,
! [X0] : ssList(skaf81(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).
fof(f340,plain,
spl0_22,
inference(avatar_split_clause,[],[f13,f338]) ).
fof(f338,plain,
( spl0_22
<=> ! [X0] : ssList(skaf82(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f13,axiom,
! [X0] : ssList(skaf82(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).
fof(f336,plain,
spl0_21,
inference(avatar_split_clause,[],[f12,f334]) ).
fof(f334,plain,
( spl0_21
<=> ! [X0] : ssItem(skaf83(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f12,axiom,
! [X0] : ssItem(skaf83(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).
fof(f332,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f11,f329]) ).
fof(f329,plain,
( spl0_20
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f327,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f324]) ).
fof(f324,plain,
( spl0_19
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f322,plain,
spl0_18,
inference(avatar_split_clause,[],[f9,f319]) ).
fof(f319,plain,
( spl0_18
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f317,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f314]) ).
fof(f314,plain,
( spl0_17
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f312,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f309]) ).
fof(f309,plain,
( spl0_16
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f307,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f304]) ).
fof(f304,plain,
( spl0_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f302,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f299]) ).
fof(f299,plain,
( spl0_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f297,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f294]) ).
fof(f294,plain,
( spl0_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f292,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f289]) ).
fof(f289,plain,
( spl0_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f287,plain,
spl0_11,
inference(avatar_split_clause,[],[f2,f284]) ).
fof(f284,plain,
( spl0_11
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f282,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f279]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f277,plain,
spl0_9,
inference(avatar_split_clause,[],[f194,f274]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f272,plain,
( spl0_7
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f233,f269,f265]) ).
fof(f233,plain,
( nil != sk3
| sk3 = sk4 ),
inference(inner_rewriting,[],[f198]) ).
fof(f198,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f263,plain,
( ~ spl0_6
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f202,f245,f260]) ).
fof(f202,plain,
( ~ totalorderedP(sk3)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f199,f191,f190,f191]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f199,axiom,
( ~ totalorderedP(sk1)
| ~ segmentP(sk2,sk1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f258,plain,
spl0_5,
inference(avatar_split_clause,[],[f201,f255]) ).
fof(f201,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f253,plain,
spl0_4,
inference(avatar_split_clause,[],[f200,f250]) ).
fof(f200,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f248,plain,
spl0_3,
inference(avatar_split_clause,[],[f195,f245]) ).
fof(f195,axiom,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f243,plain,
spl0_2,
inference(avatar_split_clause,[],[f193,f240]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f238,plain,
spl0_1,
inference(avatar_split_clause,[],[f192,f235]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWC339-1 : TPTP v8.2.0. Released v2.4.0.
% 0.04/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n005.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 03:04:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (8943)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (8946)WARNING: value z3 for option sas not known
% 0.22/0.38 % (8944)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (8948)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (8946)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)
% 0.22/0.38 % (8945)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (8949)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)
% 0.22/0.38 % (8950)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)
% 0.22/0.38 % (8951)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)
% 0.22/0.39 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.41 TRYING [3]
% 0.22/0.44 TRYING [1]
% 0.22/0.45 TRYING [2]
% 0.22/0.45 % (8949)First to succeed.
% 0.22/0.45 TRYING [1]
% 0.22/0.46 TRYING [2]
% 0.22/0.46 % (8949)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8943"
% 0.22/0.46 % (8949)Refutation found. Thanks to Tanya!
% 0.22/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47 % (8949)------------------------------
% 0.22/0.47 % (8949)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47 % (8949)Termination reason: Refutation
% 0.22/0.47
% 0.22/0.47 % (8949)Memory used [KB]: 2542
% 0.22/0.47 % (8949)Time elapsed: 0.080 s
% 0.22/0.47 % (8949)Instructions burned: 132 (million)
% 0.22/0.47 % (8943)Success in time 0.103 s
%------------------------------------------------------------------------------