TSTP Solution File: SWC413-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:26:56 EDT 2024
% Result : Unsatisfiable 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 416
% Syntax : Number of formulae : 713 ( 235 unt; 0 def)
% Number of atoms : 2028 ( 234 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 2348 (1033 ~;1107 |; 0 &)
% ( 208 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 229 ( 227 usr; 209 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 16 con; 0-2 aty)
% Number of variables : 715 ( 715 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2415,plain,
$false,
inference(avatar_sat_refutation,[],[f296,f301,f310,f315,f320,f325,f330,f335,f340,f345,f350,f355,f360,f365,f370,f375,f380,f385,f390,f394,f398,f402,f406,f410,f414,f418,f422,f426,f430,f434,f438,f442,f446,f450,f454,f458,f462,f466,f470,f474,f478,f482,f486,f490,f494,f498,f502,f506,f510,f514,f518,f522,f526,f530,f534,f539,f548,f552,f556,f560,f564,f568,f572,f576,f581,f587,f591,f595,f599,f603,f607,f608,f609,f610,f611,f619,f626,f632,f638,f642,f646,f647,f648,f649,f653,f657,f661,f665,f669,f673,f677,f681,f685,f689,f696,f698,f736,f740,f744,f815,f819,f832,f836,f840,f844,f848,f852,f856,f864,f890,f894,f898,f902,f907,f911,f915,f919,f923,f927,f931,f935,f939,f944,f948,f952,f956,f960,f964,f968,f972,f976,f980,f984,f988,f992,f996,f1062,f1066,f1070,f1074,f1166,f1170,f1174,f1178,f1182,f1186,f1190,f1194,f1198,f1202,f1206,f1244,f1276,f1280,f1284,f1288,f1293,f1297,f1301,f1305,f1309,f1380,f1392,f1396,f1400,f1404,f1408,f1412,f1416,f1420,f1425,f1429,f1433,f1464,f1472,f1476,f1480,f1484,f1548,f1552,f1556,f1560,f1564,f1568,f1572,f1576,f1676,f1694,f1698,f1702,f1706,f1710,f1714,f1719,f1723,f1766,f1770,f1775,f1797,f1801,f1805,f1809,f1813,f1926,f2002,f2008,f2014,f2019,f2023,f2047,f2051,f2055,f2221,f2226,f2231,f2246,f2261,f2266,f2272,f2284,f2310,f2354,f2383,f2387,f2393,f2414]) ).
fof(f2414,plain,
( spl0_74
| spl0_66 ),
inference(avatar_split_clause,[],[f204,f574,f616]) ).
fof(f616,plain,
( spl0_74
<=> sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f574,plain,
( spl0_66
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f204,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_19) ).
fof(f2393,plain,
( spl0_208
| ~ spl0_3
| ~ spl0_119 ),
inference(avatar_split_clause,[],[f1015,f946,f303,f2391]) ).
fof(f2391,plain,
( spl0_208
<=> ! [X0] :
( ~ ssList(X0)
| tl(cons(sk11,X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f303,plain,
( spl0_3
<=> ssItem(sk11) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f946,plain,
( spl0_119
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| tl(cons(X0,X1)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f1015,plain,
( ! [X0] :
( ~ ssList(X0)
| tl(cons(sk11,X0)) = X0 )
| ~ spl0_3
| ~ spl0_119 ),
inference(resolution,[],[f947,f305]) ).
fof(f305,plain,
( ssItem(sk11)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f947,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| tl(cons(X0,X1)) = X1 )
| ~ spl0_119 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f2387,plain,
( spl0_75
| spl0_66 ),
inference(avatar_split_clause,[],[f205,f574,f623]) ).
fof(f623,plain,
( spl0_75
<=> sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f205,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_20) ).
fof(f2383,plain,
( spl0_66
| spl0_96 ),
inference(avatar_split_clause,[],[f261,f817,f574]) ).
fof(f817,plain,
( spl0_96
<=> ! [X6,X8,X7] :
( ~ ssList(X8)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f261,plain,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssList(X8)
| ~ ssList(X11)
| ~ ssItem(X6)
| ~ ssItem(X10)
| ~ ssItem(X7)
| ~ ssItem(X9)
| sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8)
| sk4 != app(app(cons(X9,nil),cons(X10,nil)),X11)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(definition_unfolding,[],[f192,f191,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
fof(f192,axiom,
! [X10,X11,X8,X6,X9,X7] :
( ~ ssList(X8)
| ~ ssList(X11)
| ~ ssItem(X6)
| ~ ssItem(X10)
| ~ ssItem(X7)
| ~ ssItem(X9)
| sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8)
| sk4 != app(app(cons(X9,nil),cons(X10,nil)),X11)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f2354,plain,
( spl0_58
| spl0_9 ),
inference(avatar_split_clause,[],[f249,f332,f541]) ).
fof(f541,plain,
( spl0_58
<=> sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f332,plain,
( spl0_9
<=> ssItem(sk8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f249,plain,
( ssItem(sk8)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f229,f190]) ).
fof(f229,axiom,
( ssItem(sk8)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_44) ).
fof(f2310,plain,
( spl0_74
| spl0_8 ),
inference(avatar_split_clause,[],[f237,f327,f616]) ).
fof(f327,plain,
( spl0_8
<=> ssList(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f237,axiom,
( ssList(sk13)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_52) ).
fof(f2284,plain,
( spl0_58
| spl0_74 ),
inference(avatar_split_clause,[],[f254,f616,f541]) ).
fof(f254,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f240,f190]) ).
fof(f240,axiom,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_55) ).
fof(f2272,plain,
( spl0_3
| spl0_67 ),
inference(avatar_split_clause,[],[f223,f578,f303]) ).
fof(f578,plain,
( spl0_67
<=> ssItem(sk9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f223,axiom,
( ssItem(sk9)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_38) ).
fof(f2266,plain,
( spl0_74
| spl0_3 ),
inference(avatar_split_clause,[],[f225,f303,f616]) ).
fof(f225,axiom,
( ssItem(sk11)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_40) ).
fof(f2261,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f222,f332,f303]) ).
fof(f222,axiom,
( ssItem(sk8)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_37) ).
fof(f2246,plain,
( spl0_3
| spl0_59 ),
inference(avatar_split_clause,[],[f224,f545,f303]) ).
fof(f545,plain,
( spl0_59
<=> ssList(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f224,axiom,
( ssList(sk10)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_39) ).
fof(f2231,plain,
( spl0_8
| spl0_59 ),
inference(avatar_split_clause,[],[f236,f545,f327]) ).
fof(f236,axiom,
( ssList(sk10)
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_51) ).
fof(f2226,plain,
( spl0_59
| spl0_66 ),
inference(avatar_split_clause,[],[f203,f574,f545]) ).
fof(f203,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssList(sk10)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f2221,plain,
( ~ spl0_67
| ~ spl0_9
| ~ spl0_59
| ~ spl0_74
| ~ spl0_75
| ~ spl0_96 ),
inference(avatar_split_clause,[],[f828,f817,f623,f616,f545,f332,f578]) ).
fof(f828,plain,
( ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ ssItem(sk9)
| ~ spl0_74
| ~ spl0_75
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f827]) ).
fof(f827,plain,
( sk3 != sk3
| ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ ssItem(sk9)
| ~ spl0_74
| ~ spl0_75
| ~ spl0_96 ),
inference(forward_demodulation,[],[f824,f625]) ).
fof(f625,plain,
( sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f824,plain,
( ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ ssItem(sk9)
| sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_74
| ~ spl0_96 ),
inference(trivial_inequality_removal,[],[f822]) ).
fof(f822,plain,
( sk4 != sk4
| ~ ssList(sk10)
| ~ ssItem(sk8)
| ~ ssItem(sk9)
| sk3 != app(app(cons(sk9,nil),cons(sk8,nil)),sk10)
| ~ spl0_74
| ~ spl0_96 ),
inference(superposition,[],[f818,f618]) ).
fof(f618,plain,
( sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f818,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8) )
| ~ spl0_96 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f2055,plain,
spl0_207,
inference(avatar_split_clause,[],[f285,f2053]) ).
fof(f2053,plain,
( spl0_207
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f285,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause184) ).
fof(f2051,plain,
spl0_206,
inference(avatar_split_clause,[],[f284,f2049]) ).
fof(f2049,plain,
( spl0_206
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f284,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f183,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderP(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| lt(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause183) ).
fof(f2047,plain,
spl0_205,
inference(avatar_split_clause,[],[f283,f2045]) ).
fof(f2045,plain,
( spl0_205
<=> ! [X2,X4,X0,X3,X1] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f283,plain,
! [X2,X3,X0,X1,X4] :
( ~ cyclefreeP(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(app(app(X2,cons(X0,X3)),cons(X1,X4)))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(equality_resolution,[],[f185]) ).
fof(f185,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ cyclefreeP(X5)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X5)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| app(app(X2,cons(X0,X3)),cons(X1,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause185) ).
fof(f2023,plain,
spl0_204,
inference(avatar_split_clause,[],[f282,f2021]) ).
fof(f2021,plain,
( spl0_204
<=> ! [X4,X0,X3,X2,X1] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause182) ).
fof(f2019,plain,
spl0_203,
inference(avatar_split_clause,[],[f281,f2017]) ).
fof(f2017,plain,
( spl0_203
<=> ! [X4,X0,X3,X2,X1] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f281,plain,
! [X2,X3,X0,X1,X4] :
( ~ strictorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3) ),
inference(equality_resolution,[],[f181]) ).
fof(f181,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ strictorderedP(X5)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X3)
| lt(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause181) ).
fof(f2014,plain,
spl0_202,
inference(avatar_split_clause,[],[f278,f2012]) ).
fof(f2012,plain,
( spl0_202
<=> ! [X0,X3,X2,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f278,plain,
! [X2,X3,X0,X1] :
( ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause179) ).
fof(f2008,plain,
spl0_201,
inference(avatar_split_clause,[],[f280,f2006]) ).
fof(f2006,plain,
( spl0_201
<=> ! [X0,X3,X2,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X3)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f280,plain,
! [X2,X3,X0,X1] :
( ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X3)
| ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause180) ).
fof(f2002,plain,
spl0_200,
inference(avatar_split_clause,[],[f177,f2000]) ).
fof(f2000,plain,
( spl0_200
<=> ! [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_200])]) ).
fof(f177,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1
| nil = X0
| nil = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause177) ).
fof(f1926,plain,
( spl0_199
| ~ spl0_59
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f810,f742,f545,f1923]) ).
fof(f1923,plain,
( spl0_199
<=> sk10 = app(nil,sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f742,plain,
( spl0_94
<=> ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f810,plain,
( sk10 = app(nil,sk10)
| ~ spl0_59
| ~ spl0_94 ),
inference(resolution,[],[f743,f547]) ).
fof(f547,plain,
( ssList(sk10)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f743,plain,
( ! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 )
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f1813,plain,
spl0_198,
inference(avatar_split_clause,[],[f167,f1811]) ).
fof(f1811,plain,
( spl0_198
<=> ! [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_198])]) ).
fof(f167,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| app(app(skaf51(X0),cons(skaf49(X0),skaf52(X0))),cons(skaf50(X0),skaf53(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause167) ).
fof(f1809,plain,
spl0_197,
inference(avatar_split_clause,[],[f166,f1807]) ).
fof(f1807,plain,
( spl0_197
<=> ! [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_197])]) ).
fof(f166,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| app(app(skaf56(X0),cons(skaf54(X0),skaf57(X0))),cons(skaf55(X0),skaf58(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause166) ).
fof(f1805,plain,
spl0_196,
inference(avatar_split_clause,[],[f165,f1803]) ).
fof(f1803,plain,
( spl0_196
<=> ! [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_196])]) ).
fof(f165,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| app(app(skaf61(X0),cons(skaf59(X0),skaf62(X0))),cons(skaf60(X0),skaf63(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause165) ).
fof(f1801,plain,
spl0_195,
inference(avatar_split_clause,[],[f164,f1799]) ).
fof(f1799,plain,
( spl0_195
<=> ! [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_195])]) ).
fof(f164,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause164) ).
fof(f1797,plain,
spl0_194,
inference(avatar_split_clause,[],[f163,f1795]) ).
fof(f1795,plain,
( spl0_194
<=> ! [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_194])]) ).
fof(f163,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause163) ).
fof(f1775,plain,
( spl0_193
| ~ spl0_7
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f809,f742,f322,f1772]) ).
fof(f1772,plain,
( spl0_193
<=> sk7 = app(nil,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f322,plain,
( spl0_7
<=> ssList(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f809,plain,
( sk7 = app(nil,sk7)
| ~ spl0_7
| ~ spl0_94 ),
inference(resolution,[],[f743,f324]) ).
fof(f324,plain,
( ssList(sk7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f1770,plain,
spl0_192,
inference(avatar_split_clause,[],[f277,f1768]) ).
fof(f1768,plain,
( spl0_192
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause175) ).
fof(f1766,plain,
spl0_191,
inference(avatar_split_clause,[],[f276,f1764]) ).
fof(f1764,plain,
( spl0_191
<=> ! [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_191])]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause173) ).
fof(f1723,plain,
spl0_190,
inference(avatar_split_clause,[],[f176,f1721]) ).
fof(f1721,plain,
( spl0_190
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause176) ).
fof(f1719,plain,
( spl0_189
| ~ spl0_8
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f808,f742,f327,f1716]) ).
fof(f1716,plain,
( spl0_189
<=> sk13 = app(nil,sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f808,plain,
( sk13 = app(nil,sk13)
| ~ spl0_8
| ~ spl0_94 ),
inference(resolution,[],[f743,f329]) ).
fof(f329,plain,
( ssList(sk13)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f1714,plain,
spl0_188,
inference(avatar_split_clause,[],[f174,f1712]) ).
fof(f1712,plain,
( spl0_188
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| frontsegP(X1,X3)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause174) ).
fof(f1710,plain,
spl0_187,
inference(avatar_split_clause,[],[f172,f1708]) ).
fof(f1708,plain,
( spl0_187
<=> ! [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_187])]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause172) ).
fof(f1706,plain,
spl0_186,
inference(avatar_split_clause,[],[f171,f1704]) ).
fof(f1704,plain,
( spl0_186
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X1 = X3
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause171) ).
fof(f1702,plain,
spl0_185,
inference(avatar_split_clause,[],[f170,f1700]) ).
fof(f1700,plain,
( spl0_185
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| cons(X0,X1) != cons(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause170) ).
fof(f1698,plain,
spl0_184,
inference(avatar_split_clause,[],[f169,f1696]) ).
fof(f1696,plain,
( spl0_184
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause169) ).
fof(f1694,plain,
spl0_183,
inference(avatar_split_clause,[],[f168,f1692]) ).
fof(f1692,plain,
( spl0_183
<=> ! [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_183])]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause168) ).
fof(f1676,plain,
( spl0_182
| ~ spl0_1
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f807,f742,f293,f1673]) ).
fof(f1673,plain,
( spl0_182
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f293,plain,
( spl0_1
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f807,plain,
( sk4 = app(nil,sk4)
| ~ spl0_1
| ~ spl0_94 ),
inference(resolution,[],[f743,f295]) ).
fof(f295,plain,
( ssList(sk4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f1576,plain,
spl0_181,
inference(avatar_split_clause,[],[f161,f1574]) ).
fof(f1574,plain,
( spl0_181
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2)
| X0 = X2
| memberP(X1,X2)
| ~ memberP(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause161) ).
fof(f1572,plain,
spl0_180,
inference(avatar_split_clause,[],[f160,f1570]) ).
fof(f1570,plain,
( spl0_180
<=> ! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ lt(X0,hd(X1))
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause160) ).
fof(f1568,plain,
spl0_179,
inference(avatar_split_clause,[],[f159,f1566]) ).
fof(f1566,plain,
( spl0_179
<=> ! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f159,axiom,
! [X0,X1] :
( ~ totalorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause159) ).
fof(f1564,plain,
spl0_178,
inference(avatar_split_clause,[],[f158,f1562]) ).
fof(f1562,plain,
( spl0_178
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| memberP(X1,X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause158) ).
fof(f1560,plain,
spl0_177,
inference(avatar_split_clause,[],[f157,f1558]) ).
fof(f1558,plain,
( spl0_177
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause157) ).
fof(f1556,plain,
spl0_176,
inference(avatar_split_clause,[],[f149,f1554]) ).
fof(f1554,plain,
( spl0_176
<=> ! [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_176])]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause149) ).
fof(f1552,plain,
spl0_175,
inference(avatar_split_clause,[],[f142,f1550]) ).
fof(f1550,plain,
( spl0_175
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f142,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| app(skaf80(X0),cons(skaf78(X0),cons(skaf79(X0),skaf81(X0)))) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause142) ).
fof(f1548,plain,
( spl0_174
| ~ spl0_2
| ~ spl0_94 ),
inference(avatar_split_clause,[],[f806,f742,f298,f1545]) ).
fof(f1545,plain,
( spl0_174
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f298,plain,
( spl0_2
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f806,plain,
( sk3 = app(nil,sk3)
| ~ spl0_2
| ~ spl0_94 ),
inference(resolution,[],[f743,f300]) ).
fof(f300,plain,
( ssList(sk3)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f1484,plain,
spl0_173,
inference(avatar_split_clause,[],[f286,f1482]) ).
fof(f1482,plain,
( spl0_173
<=> ! [X0,X1,X3] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f286,plain,
! [X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f279]) ).
fof(f279,plain,
! [X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X3)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X2)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause178) ).
fof(f1480,plain,
spl0_172,
inference(avatar_split_clause,[],[f151,f1478]) ).
fof(f1478,plain,
( spl0_172
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| app(X0,X1) != app(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause151) ).
fof(f1476,plain,
spl0_171,
inference(avatar_split_clause,[],[f150,f1474]) ).
fof(f1474,plain,
( spl0_171
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| app(X0,X1) != app(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause150) ).
fof(f1472,plain,
spl0_170,
inference(avatar_split_clause,[],[f133,f1470]) ).
fof(f1470,plain,
( spl0_170
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f133,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| tl(app(X1,X0)) = app(tl(X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause133) ).
fof(f1464,plain,
( spl0_169
| ~ spl0_59
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f777,f738,f545,f1461]) ).
fof(f1461,plain,
( spl0_169
<=> sk10 = app(sk10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f738,plain,
( spl0_93
<=> ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f777,plain,
( sk10 = app(sk10,nil)
| ~ spl0_59
| ~ spl0_93 ),
inference(resolution,[],[f739,f547]) ).
fof(f739,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 )
| ~ spl0_93 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f1433,plain,
spl0_168,
inference(avatar_split_clause,[],[f156,f1431]) ).
fof(f1431,plain,
( spl0_168
<=> ! [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_168])]) ).
fof(f156,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause156) ).
fof(f1429,plain,
spl0_167,
inference(avatar_split_clause,[],[f155,f1427]) ).
fof(f1427,plain,
( spl0_167
<=> ! [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_167])]) ).
fof(f155,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause155) ).
fof(f1425,plain,
( spl0_166
| ~ spl0_7
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f776,f738,f322,f1422]) ).
fof(f1422,plain,
( spl0_166
<=> sk7 = app(sk7,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f776,plain,
( sk7 = app(sk7,nil)
| ~ spl0_7
| ~ spl0_93 ),
inference(resolution,[],[f739,f324]) ).
fof(f1420,plain,
spl0_165,
inference(avatar_split_clause,[],[f154,f1418]) ).
fof(f1418,plain,
( spl0_165
<=> ! [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_165])]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause154) ).
fof(f1416,plain,
spl0_164,
inference(avatar_split_clause,[],[f153,f1414]) ).
fof(f1414,plain,
( spl0_164
<=> ! [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_164])]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause153) ).
fof(f1412,plain,
spl0_163,
inference(avatar_split_clause,[],[f152,f1410]) ).
fof(f1410,plain,
( spl0_163
<=> ! [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_163])]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause152) ).
fof(f1408,plain,
spl0_162,
inference(avatar_split_clause,[],[f148,f1406]) ).
fof(f1406,plain,
( spl0_162
<=> ! [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_162])]) ).
fof(f148,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| geq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause148) ).
fof(f1404,plain,
spl0_161,
inference(avatar_split_clause,[],[f147,f1402]) ).
fof(f1402,plain,
( spl0_161
<=> ! [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_161])]) ).
fof(f147,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| lt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause147) ).
fof(f1400,plain,
spl0_160,
inference(avatar_split_clause,[],[f146,f1398]) ).
fof(f1398,plain,
( spl0_160
<=> ! [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_160])]) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ ssItem(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| gt(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause146) ).
fof(f1396,plain,
spl0_159,
inference(avatar_split_clause,[],[f135,f1394]) ).
fof(f1394,plain,
( spl0_159
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f135,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| leq(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause135) ).
fof(f1392,plain,
spl0_158,
inference(avatar_split_clause,[],[f134,f1390]) ).
fof(f1390,plain,
( spl0_158
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(cons(X0,X1))
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause134) ).
fof(f1380,plain,
( spl0_157
| ~ spl0_8
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f775,f738,f327,f1377]) ).
fof(f1377,plain,
( spl0_157
<=> sk13 = app(sk13,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f775,plain,
( sk13 = app(sk13,nil)
| ~ spl0_8
| ~ spl0_93 ),
inference(resolution,[],[f739,f329]) ).
fof(f1309,plain,
spl0_156,
inference(avatar_split_clause,[],[f141,f1307]) ).
fof(f1307,plain,
( spl0_156
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause141) ).
fof(f1305,plain,
spl0_155,
inference(avatar_split_clause,[],[f140,f1303]) ).
fof(f1303,plain,
( spl0_155
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ memberP(X0,X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause140) ).
fof(f1301,plain,
spl0_154,
inference(avatar_split_clause,[],[f139,f1299]) ).
fof(f1299,plain,
( spl0_154
<=> ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ memberP(X0,X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause139) ).
fof(f1297,plain,
spl0_153,
inference(avatar_split_clause,[],[f137,f1295]) ).
fof(f1295,plain,
( spl0_153
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause137) ).
fof(f1293,plain,
( spl0_152
| ~ spl0_1
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f774,f738,f293,f1290]) ).
fof(f1290,plain,
( spl0_152
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f774,plain,
( sk4 = app(sk4,nil)
| ~ spl0_1
| ~ spl0_93 ),
inference(resolution,[],[f739,f295]) ).
fof(f1288,plain,
spl0_151,
inference(avatar_split_clause,[],[f136,f1286]) ).
fof(f1286,plain,
( spl0_151
<=> ! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause136) ).
fof(f1284,plain,
spl0_150,
inference(avatar_split_clause,[],[f132,f1282]) ).
fof(f1282,plain,
( spl0_150
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause132) ).
fof(f1280,plain,
spl0_149,
inference(avatar_split_clause,[],[f131,f1278]) ).
fof(f1278,plain,
( spl0_149
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X0,X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause131) ).
fof(f1276,plain,
spl0_148,
inference(avatar_split_clause,[],[f123,f1274]) ).
fof(f1274,plain,
( spl0_148
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f123,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = X1
| hd(app(X1,X0)) = hd(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause123) ).
fof(f1244,plain,
( spl0_147
| ~ spl0_2
| ~ spl0_93 ),
inference(avatar_split_clause,[],[f773,f738,f298,f1241]) ).
fof(f1241,plain,
( spl0_147
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f773,plain,
( sk3 = app(sk3,nil)
| ~ spl0_2
| ~ spl0_93 ),
inference(resolution,[],[f739,f300]) ).
fof(f1206,plain,
spl0_146,
inference(avatar_split_clause,[],[f272,f1204]) ).
fof(f1204,plain,
( spl0_146
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f272,plain,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause144) ).
fof(f1202,plain,
spl0_145,
inference(avatar_split_clause,[],[f271,f1200]) ).
fof(f1200,plain,
( spl0_145
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f271,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause143) ).
fof(f1198,plain,
spl0_144,
inference(avatar_split_clause,[],[f130,f1196]) ).
fof(f1196,plain,
( spl0_144
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f130,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause130) ).
fof(f1194,plain,
spl0_143,
inference(avatar_split_clause,[],[f129,f1192]) ).
fof(f1192,plain,
( spl0_143
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause129) ).
fof(f1190,plain,
spl0_142,
inference(avatar_split_clause,[],[f128,f1188]) ).
fof(f1188,plain,
( spl0_142
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause128) ).
fof(f1186,plain,
spl0_141,
inference(avatar_split_clause,[],[f127,f1184]) ).
fof(f1184,plain,
( spl0_141
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause127) ).
fof(f1182,plain,
spl0_140,
inference(avatar_split_clause,[],[f126,f1180]) ).
fof(f1180,plain,
( spl0_140
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f126,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause126) ).
fof(f1178,plain,
spl0_139,
inference(avatar_split_clause,[],[f125,f1176]) ).
fof(f1176,plain,
( spl0_139
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| totalorderedP(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause125) ).
fof(f1174,plain,
spl0_138,
inference(avatar_split_clause,[],[f124,f1172]) ).
fof(f1172,plain,
( spl0_138
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f124,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| strictorderedP(X1)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause124) ).
fof(f1170,plain,
spl0_137,
inference(avatar_split_clause,[],[f121,f1168]) ).
fof(f1168,plain,
( spl0_137
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f121,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| X0 = X1
| lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause121) ).
fof(f1166,plain,
spl0_136,
inference(avatar_split_clause,[],[f120,f1164]) ).
fof(f1164,plain,
( spl0_136
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause120) ).
fof(f1074,plain,
spl0_135,
inference(avatar_split_clause,[],[f119,f1072]) ).
fof(f1072,plain,
( spl0_135
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f119,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X1
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause119) ).
fof(f1070,plain,
spl0_134,
inference(avatar_split_clause,[],[f118,f1068]) ).
fof(f1068,plain,
( spl0_134
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f118,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| nil = X0
| nil != app(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause118) ).
fof(f1066,plain,
spl0_133,
inference(avatar_split_clause,[],[f109,f1064]) ).
fof(f1064,plain,
( spl0_133
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f109,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(skaf83(X0),skaf82(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause109) ).
fof(f1062,plain,
spl0_132,
inference(avatar_split_clause,[],[f104,f1060]) ).
fof(f1060,plain,
( spl0_132
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f104,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause104) ).
fof(f996,plain,
spl0_131,
inference(avatar_split_clause,[],[f266,f994]) ).
fof(f994,plain,
( spl0_131
<=> ! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f266,plain,
! [X0] :
( ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| singletonP(cons(X0,nil)) ),
inference(equality_resolution,[],[f116]) ).
fof(f116,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| singletonP(X1)
| cons(X0,nil) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause116) ).
fof(f992,plain,
spl0_130,
inference(avatar_split_clause,[],[f114,f990]) ).
fof(f990,plain,
( spl0_130
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f114,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ lt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause114) ).
fof(f988,plain,
spl0_129,
inference(avatar_split_clause,[],[f110,f986]) ).
fof(f986,plain,
( spl0_129
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f110,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X1,X0)
| ~ gt(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause110) ).
fof(f984,plain,
spl0_128,
inference(avatar_split_clause,[],[f108,f982]) ).
fof(f982,plain,
( spl0_128
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f108,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ leq(X0,X1)
| geq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause108) ).
fof(f980,plain,
spl0_127,
inference(avatar_split_clause,[],[f107,f978]) ).
fof(f978,plain,
( spl0_127
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f107,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ geq(X0,X1)
| leq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause107) ).
fof(f976,plain,
spl0_126,
inference(avatar_split_clause,[],[f106,f974]) ).
fof(f974,plain,
( spl0_126
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f106,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ lt(X0,X1)
| gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause106) ).
fof(f972,plain,
spl0_125,
inference(avatar_split_clause,[],[f105,f970]) ).
fof(f970,plain,
( spl0_125
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f105,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ gt(X0,X1)
| lt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause105) ).
fof(f968,plain,
spl0_124,
inference(avatar_split_clause,[],[f103,f966]) ).
fof(f966,plain,
( spl0_124
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f103,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X0,X1)
| leq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause103) ).
fof(f964,plain,
spl0_123,
inference(avatar_split_clause,[],[f102,f962]) ).
fof(f962,plain,
( spl0_123
<=> ! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f102,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause102) ).
fof(f960,plain,
spl0_122,
inference(avatar_split_clause,[],[f101,f958]) ).
fof(f958,plain,
( spl0_122
<=> ! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f101,axiom,
! [X0] :
( ~ singletonP(X0)
| ~ ssList(X0)
| cons(skaf44(X0),nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause101) ).
fof(f956,plain,
spl0_121,
inference(avatar_split_clause,[],[f100,f954]) ).
fof(f954,plain,
( spl0_121
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f100,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| X0 = X1
| neq(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause100) ).
fof(f952,plain,
spl0_120,
inference(avatar_split_clause,[],[f97,f950]) ).
fof(f950,plain,
( spl0_120
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| hd(cons(X0,X1)) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f97,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| hd(cons(X0,X1)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause97) ).
fof(f948,plain,
spl0_119,
inference(avatar_split_clause,[],[f96,f946]) ).
fof(f96,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| tl(cons(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause96) ).
fof(f944,plain,
( spl0_118
| ~ spl0_59
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f731,f694,f545,f941]) ).
fof(f941,plain,
( spl0_118
<=> duplicatefreeP(sk10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f694,plain,
( spl0_91
<=> ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f731,plain,
( duplicatefreeP(sk10)
| ~ spl0_59
| ~ spl0_91 ),
inference(resolution,[],[f695,f547]) ).
fof(f695,plain,
( ! [X0] :
( ~ ssList(X0)
| duplicatefreeP(X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f939,plain,
spl0_117,
inference(avatar_split_clause,[],[f287,f937]) ).
fof(f937,plain,
( spl0_117
<=> ! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f287,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(duplicate_literal_removal,[],[f275]) ).
fof(f275,plain,
! [X2,X1] :
( ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause138) ).
fof(f935,plain,
spl0_116,
inference(avatar_split_clause,[],[f99,f933]) ).
fof(f933,plain,
( spl0_116
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f99,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause99) ).
fof(f931,plain,
spl0_115,
inference(avatar_split_clause,[],[f98,f929]) ).
fof(f929,plain,
( spl0_115
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f98,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| nil != cons(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause98) ).
fof(f927,plain,
spl0_114,
inference(avatar_split_clause,[],[f95,f925]) ).
fof(f925,plain,
( spl0_114
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f95,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf54(X0),skaf55(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause95) ).
fof(f923,plain,
spl0_113,
inference(avatar_split_clause,[],[f94,f921]) ).
fof(f921,plain,
( spl0_113
<=> ! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f94,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderP(X0)
| ~ leq(skaf55(X0),skaf54(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause94) ).
fof(f919,plain,
spl0_112,
inference(avatar_split_clause,[],[f93,f917]) ).
fof(f917,plain,
( spl0_112
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f93,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf59(X0),skaf60(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause93) ).
fof(f915,plain,
spl0_111,
inference(avatar_split_clause,[],[f92,f913]) ).
fof(f913,plain,
( spl0_111
<=> ! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f92,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderP(X0)
| ~ lt(skaf60(X0),skaf59(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause92) ).
fof(f911,plain,
spl0_110,
inference(avatar_split_clause,[],[f91,f909]) ).
fof(f909,plain,
( spl0_110
<=> ! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f91,axiom,
! [X0] :
( ~ ssList(X0)
| totalorderedP(X0)
| ~ leq(skaf64(X0),skaf65(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause91) ).
fof(f907,plain,
( spl0_109
| ~ spl0_7
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f730,f694,f322,f904]) ).
fof(f904,plain,
( spl0_109
<=> duplicatefreeP(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f730,plain,
( duplicatefreeP(sk7)
| ~ spl0_7
| ~ spl0_91 ),
inference(resolution,[],[f695,f324]) ).
fof(f902,plain,
spl0_108,
inference(avatar_split_clause,[],[f90,f900]) ).
fof(f900,plain,
( spl0_108
<=> ! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f90,axiom,
! [X0] :
( ~ ssList(X0)
| strictorderedP(X0)
| ~ lt(skaf69(X0),skaf70(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause90) ).
fof(f898,plain,
spl0_107,
inference(avatar_split_clause,[],[f89,f896]) ).
fof(f896,plain,
( spl0_107
<=> ! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f89,axiom,
! [X0] :
( ~ ssList(X0)
| equalelemsP(X0)
| skaf79(X0) != skaf78(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
fof(f894,plain,
spl0_106,
inference(avatar_split_clause,[],[f88,f892]) ).
fof(f892,plain,
( spl0_106
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f88,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf49(X0),skaf50(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause88) ).
fof(f890,plain,
spl0_105,
inference(avatar_split_clause,[],[f87,f888]) ).
fof(f888,plain,
( spl0_105
<=> ! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f87,axiom,
! [X0] :
( ~ ssList(X0)
| cyclefreeP(X0)
| leq(skaf50(X0),skaf49(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause87) ).
fof(f864,plain,
( spl0_104
| ~ spl0_8
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f729,f694,f327,f861]) ).
fof(f861,plain,
( spl0_104
<=> duplicatefreeP(sk13) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f729,plain,
( duplicatefreeP(sk13)
| ~ spl0_8
| ~ spl0_91 ),
inference(resolution,[],[f695,f329]) ).
fof(f856,plain,
spl0_103,
inference(avatar_split_clause,[],[f86,f854]) ).
fof(f854,plain,
( spl0_103
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ssList(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ssList(cons(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause86) ).
fof(f852,plain,
spl0_102,
inference(avatar_split_clause,[],[f85,f850]) ).
fof(f850,plain,
( spl0_102
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f85,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ssList(app(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause85) ).
fof(f848,plain,
spl0_101,
inference(avatar_split_clause,[],[f84,f846]) ).
fof(f846,plain,
( spl0_101
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f84,axiom,
! [X0] :
( ~ ssList(X0)
| ~ frontsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
fof(f844,plain,
spl0_100,
inference(avatar_split_clause,[],[f82,f842]) ).
fof(f842,plain,
( spl0_100
<=> ! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f82,axiom,
! [X0] :
( ~ ssList(X0)
| ~ rearsegP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause82) ).
fof(f840,plain,
spl0_99,
inference(avatar_split_clause,[],[f80,f838]) ).
fof(f838,plain,
( spl0_99
<=> ! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f80,axiom,
! [X0] :
( ~ ssList(X0)
| ~ segmentP(nil,X0)
| nil = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause80) ).
fof(f836,plain,
spl0_98,
inference(avatar_split_clause,[],[f78,f834]) ).
fof(f834,plain,
( spl0_98
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f78,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssItem(hd(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause78) ).
fof(f832,plain,
spl0_97,
inference(avatar_split_clause,[],[f75,f830]) ).
fof(f830,plain,
( spl0_97
<=> ! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f75,axiom,
! [X0] :
( ~ ssList(X0)
| nil = X0
| ssList(tl(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause75) ).
fof(f819,plain,
( spl0_6
| spl0_96 ),
inference(avatar_split_clause,[],[f258,f817,f317]) ).
fof(f317,plain,
( spl0_6
<=> ssItem(sk12) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f258,plain,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk12)
| sk3 != app(app(cons(X7,nil),cons(X6,nil)),X8)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
inference(definition_unfolding,[],[f194,f191,f190]) ).
fof(f194,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ssItem(sk12)
| sk1 != app(app(cons(X7,nil),cons(X6,nil)),X8)
| sk2 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_9) ).
fof(f815,plain,
( spl0_95
| ~ spl0_1
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f728,f694,f293,f812]) ).
fof(f812,plain,
( spl0_95
<=> duplicatefreeP(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f728,plain,
( duplicatefreeP(sk4)
| ~ spl0_1
| ~ spl0_91 ),
inference(resolution,[],[f695,f295]) ).
fof(f744,plain,
spl0_94,
inference(avatar_split_clause,[],[f74,f742]) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause74) ).
fof(f740,plain,
spl0_93,
inference(avatar_split_clause,[],[f73,f738]) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
fof(f736,plain,
( spl0_92
| ~ spl0_2
| ~ spl0_91 ),
inference(avatar_split_clause,[],[f727,f694,f298,f733]) ).
fof(f733,plain,
( spl0_92
<=> duplicatefreeP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f727,plain,
( duplicatefreeP(sk3)
| ~ spl0_2
| ~ spl0_91 ),
inference(resolution,[],[f695,f300]) ).
fof(f698,plain,
( spl0_6
| ~ spl0_90 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| spl0_6
| ~ spl0_90 ),
inference(resolution,[],[f692,f318]) ).
fof(f318,plain,
( ~ ssItem(sk12)
| spl0_6 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f692,plain,
( ! [X1] : ssItem(X1)
| ~ spl0_90 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl0_90
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f696,plain,
( spl0_90
| spl0_91 ),
inference(avatar_split_clause,[],[f72,f694,f691]) ).
fof(f72,axiom,
! [X0,X1] :
( ~ ssList(X0)
| duplicatefreeP(X0)
| ssItem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause72) ).
fof(f689,plain,
spl0_89,
inference(avatar_split_clause,[],[f70,f687]) ).
fof(f687,plain,
( spl0_89
<=> ! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f70,axiom,
! [X0] :
( ~ ssItem(X0)
| cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
fof(f685,plain,
spl0_88,
inference(avatar_split_clause,[],[f69,f683]) ).
fof(f683,plain,
( spl0_88
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f69,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
fof(f681,plain,
spl0_87,
inference(avatar_split_clause,[],[f68,f679]) ).
fof(f679,plain,
( spl0_87
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f68,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
fof(f677,plain,
spl0_86,
inference(avatar_split_clause,[],[f67,f675]) ).
fof(f675,plain,
( spl0_86
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause67) ).
fof(f673,plain,
spl0_85,
inference(avatar_split_clause,[],[f66,f671]) ).
fof(f671,plain,
( spl0_85
<=> ! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
fof(f669,plain,
spl0_84,
inference(avatar_split_clause,[],[f65,f667]) ).
fof(f667,plain,
( spl0_84
<=> ! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f65,axiom,
! [X0] :
( ~ ssItem(X0)
| duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
fof(f665,plain,
spl0_83,
inference(avatar_split_clause,[],[f64,f663]) ).
fof(f663,plain,
( spl0_83
<=> ! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f64,axiom,
! [X0] :
( ~ ssItem(X0)
| equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause64) ).
fof(f661,plain,
spl0_82,
inference(avatar_split_clause,[],[f291,f659]) ).
fof(f659,plain,
( spl0_82
<=> ! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f291,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f265,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f115]) ).
fof(f115,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause115) ).
fof(f657,plain,
spl0_81,
inference(avatar_split_clause,[],[f290,f655]) ).
fof(f655,plain,
( spl0_81
<=> ! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f290,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(duplicate_literal_removal,[],[f269]) ).
fof(f269,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f117]) ).
fof(f117,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause117) ).
fof(f653,plain,
spl0_80,
inference(avatar_split_clause,[],[f71,f651]) ).
fof(f651,plain,
( spl0_80
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f71,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
fof(f649,plain,
( spl0_6
| spl0_59 ),
inference(avatar_split_clause,[],[f231,f545,f317]) ).
fof(f231,axiom,
( ssList(sk10)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_46) ).
fof(f648,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f227,f332,f317]) ).
fof(f227,axiom,
( ssItem(sk8)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_42) ).
fof(f647,plain,
( ~ spl0_67
| ~ spl0_59
| ~ spl0_9
| ~ spl0_66
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f621,f616,f574,f332,f545,f578]) ).
fof(f621,plain,
( ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ spl0_66
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f620]) ).
fof(f620,plain,
( sk4 != sk4
| ~ ssItem(sk8)
| ~ ssList(sk10)
| ~ ssItem(sk9)
| ~ spl0_66
| ~ spl0_74 ),
inference(superposition,[],[f575,f618]) ).
fof(f575,plain,
( ! [X8,X6,X7] :
( sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8)
| ~ ssItem(X6)
| ~ ssList(X8)
| ~ ssItem(X7) )
| ~ spl0_66 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f646,plain,
spl0_79,
inference(avatar_split_clause,[],[f63,f644]) ).
fof(f644,plain,
( spl0_79
<=> ! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f63,axiom,
! [X0] :
( ~ ssItem(X0)
| ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause63) ).
fof(f642,plain,
spl0_78,
inference(avatar_split_clause,[],[f62,f640]) ).
fof(f640,plain,
( spl0_78
<=> ! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f62,axiom,
! [X0] :
( ~ ssItem(X0)
| leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause62) ).
fof(f638,plain,
spl0_77,
inference(avatar_split_clause,[],[f61,f636]) ).
fof(f636,plain,
( spl0_77
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f61,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause61) ).
fof(f632,plain,
( spl0_76
| spl0_6 ),
inference(avatar_split_clause,[],[f251,f317,f629]) ).
fof(f629,plain,
( spl0_76
<=> sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f251,plain,
( ssItem(sk12)
| sk4 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
inference(definition_unfolding,[],[f215,f190]) ).
fof(f215,axiom,
( ssItem(sk12)
| sk2 = app(app(cons(sk5,nil),cons(sk6,nil)),sk7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_30) ).
fof(f626,plain,
( spl0_75
| spl0_6 ),
inference(avatar_split_clause,[],[f233,f317,f623]) ).
fof(f233,axiom,
( ssItem(sk12)
| sk3 = app(app(cons(sk9,nil),cons(sk8,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_48) ).
fof(f619,plain,
( spl0_74
| spl0_6 ),
inference(avatar_split_clause,[],[f232,f317,f616]) ).
fof(f232,axiom,
( ssItem(sk12)
| sk4 = app(app(cons(sk8,nil),cons(sk9,nil)),sk10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_47) ).
fof(f611,plain,
( spl0_58
| spl0_67 ),
inference(avatar_split_clause,[],[f250,f578,f541]) ).
fof(f250,plain,
( ssItem(sk9)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f235,f190]) ).
fof(f235,axiom,
( ssItem(sk9)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_50) ).
fof(f610,plain,
( spl0_67
| spl0_8 ),
inference(avatar_split_clause,[],[f234,f327,f578]) ).
fof(f234,axiom,
( ssList(sk13)
| ssItem(sk9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_49) ).
fof(f609,plain,
( spl0_6
| spl0_67 ),
inference(avatar_split_clause,[],[f230,f578,f317]) ).
fof(f230,axiom,
( ssItem(sk9)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_45) ).
fof(f608,plain,
( ~ spl0_6
| ~ spl0_8
| ~ spl0_3
| ~ spl0_58
| ~ spl0_66 ),
inference(avatar_split_clause,[],[f583,f574,f541,f303,f327,f317]) ).
fof(f583,plain,
( ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ spl0_58
| ~ spl0_66 ),
inference(trivial_inequality_removal,[],[f582]) ).
fof(f582,plain,
( sk4 != sk4
| ~ ssItem(sk11)
| ~ ssList(sk13)
| ~ ssItem(sk12)
| ~ spl0_58
| ~ spl0_66 ),
inference(superposition,[],[f575,f543]) ).
fof(f543,plain,
( sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f607,plain,
spl0_73,
inference(avatar_split_clause,[],[f60,f605]) ).
fof(f605,plain,
( spl0_73
<=> ! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f60,axiom,
! [X0] :
( ~ ssList(X0)
| frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
fof(f603,plain,
spl0_72,
inference(avatar_split_clause,[],[f59,f601]) ).
fof(f601,plain,
( spl0_72
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f59,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
fof(f599,plain,
spl0_71,
inference(avatar_split_clause,[],[f58,f597]) ).
fof(f597,plain,
( spl0_71
<=> ! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f58,axiom,
! [X0] :
( ~ ssList(X0)
| rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
fof(f595,plain,
spl0_70,
inference(avatar_split_clause,[],[f57,f593]) ).
fof(f593,plain,
( spl0_70
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f57,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
fof(f591,plain,
spl0_69,
inference(avatar_split_clause,[],[f56,f589]) ).
fof(f589,plain,
( spl0_69
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f56,axiom,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
fof(f587,plain,
spl0_68,
inference(avatar_split_clause,[],[f55,f585]) ).
fof(f585,plain,
( spl0_68
<=> ! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f55,axiom,
! [X0] :
( ~ ssItem(X0)
| geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause55) ).
fof(f581,plain,
( spl0_67
| spl0_66 ),
inference(avatar_split_clause,[],[f202,f574,f578]) ).
fof(f202,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssItem(sk9)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f576,plain,
( spl0_9
| spl0_66 ),
inference(avatar_split_clause,[],[f201,f574,f332]) ).
fof(f201,axiom,
! [X8,X6,X7] :
( ~ ssList(X8)
| ~ ssItem(X6)
| ~ ssItem(X7)
| ssItem(sk8)
| sk4 != app(app(cons(X6,nil),cons(X7,nil)),X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f572,plain,
spl0_65,
inference(avatar_split_clause,[],[f53,f570]) ).
fof(f570,plain,
( spl0_65
<=> ! [X0,X1] : ssList(skaf42(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
fof(f568,plain,
spl0_64,
inference(avatar_split_clause,[],[f52,f566]) ).
fof(f566,plain,
( spl0_64
<=> ! [X0,X1] : ssList(skaf43(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
fof(f564,plain,
spl0_63,
inference(avatar_split_clause,[],[f51,f562]) ).
fof(f562,plain,
( spl0_63
<=> ! [X0,X1] : ssList(skaf45(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f51,axiom,
! [X0,X1] : ssList(skaf45(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
fof(f560,plain,
spl0_62,
inference(avatar_split_clause,[],[f50,f558]) ).
fof(f558,plain,
( spl0_62
<=> ! [X0,X1] : ssList(skaf46(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f50,axiom,
! [X0,X1] : ssList(skaf46(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
fof(f556,plain,
spl0_61,
inference(avatar_split_clause,[],[f49,f554]) ).
fof(f554,plain,
( spl0_61
<=> ! [X0,X1] : ssList(skaf47(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).
fof(f552,plain,
spl0_60,
inference(avatar_split_clause,[],[f48,f550]) ).
fof(f550,plain,
( spl0_60
<=> ! [X0,X1] : ssList(skaf48(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause48) ).
fof(f548,plain,
( spl0_58
| spl0_59 ),
inference(avatar_split_clause,[],[f245,f545,f541]) ).
fof(f245,plain,
( ssList(sk10)
| sk4 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
inference(definition_unfolding,[],[f239,f190]) ).
fof(f239,axiom,
( ssList(sk10)
| sk2 = app(app(cons(sk11,nil),cons(sk12,nil)),sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_54) ).
fof(f539,plain,
~ spl0_57,
inference(avatar_split_clause,[],[f54,f536]) ).
fof(f536,plain,
( spl0_57
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
fof(f534,plain,
spl0_56,
inference(avatar_split_clause,[],[f47,f532]) ).
fof(f532,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/sandbox2/benchmark/theBenchmark.p',clause47) ).
fof(f530,plain,
spl0_55,
inference(avatar_split_clause,[],[f46,f528]) ).
fof(f528,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/sandbox2/benchmark/theBenchmark.p',clause46) ).
fof(f526,plain,
spl0_54,
inference(avatar_split_clause,[],[f45,f524]) ).
fof(f524,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/sandbox2/benchmark/theBenchmark.p',clause45) ).
fof(f522,plain,
spl0_53,
inference(avatar_split_clause,[],[f44,f520]) ).
fof(f520,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/sandbox2/benchmark/theBenchmark.p',clause44) ).
fof(f518,plain,
spl0_52,
inference(avatar_split_clause,[],[f43,f516]) ).
fof(f516,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/sandbox2/benchmark/theBenchmark.p',clause43) ).
fof(f514,plain,
spl0_51,
inference(avatar_split_clause,[],[f42,f512]) ).
fof(f512,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/sandbox2/benchmark/theBenchmark.p',clause42) ).
fof(f510,plain,
spl0_50,
inference(avatar_split_clause,[],[f41,f508]) ).
fof(f508,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/sandbox2/benchmark/theBenchmark.p',clause41) ).
fof(f506,plain,
spl0_49,
inference(avatar_split_clause,[],[f40,f504]) ).
fof(f504,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/sandbox2/benchmark/theBenchmark.p',clause40) ).
fof(f502,plain,
spl0_48,
inference(avatar_split_clause,[],[f39,f500]) ).
fof(f500,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/sandbox2/benchmark/theBenchmark.p',clause39) ).
fof(f498,plain,
spl0_47,
inference(avatar_split_clause,[],[f38,f496]) ).
fof(f496,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/sandbox2/benchmark/theBenchmark.p',clause38) ).
fof(f494,plain,
spl0_46,
inference(avatar_split_clause,[],[f37,f492]) ).
fof(f492,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/sandbox2/benchmark/theBenchmark.p',clause37) ).
fof(f490,plain,
spl0_45,
inference(avatar_split_clause,[],[f36,f488]) ).
fof(f488,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/sandbox2/benchmark/theBenchmark.p',clause36) ).
fof(f486,plain,
spl0_44,
inference(avatar_split_clause,[],[f35,f484]) ).
fof(f484,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/sandbox2/benchmark/theBenchmark.p',clause35) ).
fof(f482,plain,
spl0_43,
inference(avatar_split_clause,[],[f34,f480]) ).
fof(f480,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/sandbox2/benchmark/theBenchmark.p',clause34) ).
fof(f478,plain,
spl0_42,
inference(avatar_split_clause,[],[f33,f476]) ).
fof(f476,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/sandbox2/benchmark/theBenchmark.p',clause33) ).
fof(f474,plain,
spl0_41,
inference(avatar_split_clause,[],[f32,f472]) ).
fof(f472,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/sandbox2/benchmark/theBenchmark.p',clause32) ).
fof(f470,plain,
spl0_40,
inference(avatar_split_clause,[],[f31,f468]) ).
fof(f468,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/sandbox2/benchmark/theBenchmark.p',clause31) ).
fof(f466,plain,
spl0_39,
inference(avatar_split_clause,[],[f30,f464]) ).
fof(f464,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/sandbox2/benchmark/theBenchmark.p',clause30) ).
fof(f462,plain,
spl0_38,
inference(avatar_split_clause,[],[f29,f460]) ).
fof(f460,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/sandbox2/benchmark/theBenchmark.p',clause29) ).
fof(f458,plain,
spl0_37,
inference(avatar_split_clause,[],[f28,f456]) ).
fof(f456,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/sandbox2/benchmark/theBenchmark.p',clause28) ).
fof(f454,plain,
spl0_36,
inference(avatar_split_clause,[],[f27,f452]) ).
fof(f452,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/sandbox2/benchmark/theBenchmark.p',clause27) ).
fof(f450,plain,
spl0_35,
inference(avatar_split_clause,[],[f26,f448]) ).
fof(f448,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/sandbox2/benchmark/theBenchmark.p',clause26) ).
fof(f446,plain,
spl0_34,
inference(avatar_split_clause,[],[f25,f444]) ).
fof(f444,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/sandbox2/benchmark/theBenchmark.p',clause25) ).
fof(f442,plain,
spl0_33,
inference(avatar_split_clause,[],[f24,f440]) ).
fof(f440,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/sandbox2/benchmark/theBenchmark.p',clause24) ).
fof(f438,plain,
spl0_32,
inference(avatar_split_clause,[],[f23,f436]) ).
fof(f436,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/sandbox2/benchmark/theBenchmark.p',clause23) ).
fof(f434,plain,
spl0_31,
inference(avatar_split_clause,[],[f22,f432]) ).
fof(f432,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/sandbox2/benchmark/theBenchmark.p',clause22) ).
fof(f430,plain,
spl0_30,
inference(avatar_split_clause,[],[f21,f428]) ).
fof(f428,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/sandbox2/benchmark/theBenchmark.p',clause21) ).
fof(f426,plain,
spl0_29,
inference(avatar_split_clause,[],[f20,f424]) ).
fof(f424,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/sandbox2/benchmark/theBenchmark.p',clause20) ).
fof(f422,plain,
spl0_28,
inference(avatar_split_clause,[],[f19,f420]) ).
fof(f420,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/sandbox2/benchmark/theBenchmark.p',clause19) ).
fof(f418,plain,
spl0_27,
inference(avatar_split_clause,[],[f18,f416]) ).
fof(f416,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/sandbox2/benchmark/theBenchmark.p',clause18) ).
fof(f414,plain,
spl0_26,
inference(avatar_split_clause,[],[f17,f412]) ).
fof(f412,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/sandbox2/benchmark/theBenchmark.p',clause17) ).
fof(f410,plain,
spl0_25,
inference(avatar_split_clause,[],[f16,f408]) ).
fof(f408,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/sandbox2/benchmark/theBenchmark.p',clause16) ).
fof(f406,plain,
spl0_24,
inference(avatar_split_clause,[],[f15,f404]) ).
fof(f404,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/sandbox2/benchmark/theBenchmark.p',clause15) ).
fof(f402,plain,
spl0_23,
inference(avatar_split_clause,[],[f14,f400]) ).
fof(f400,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/sandbox2/benchmark/theBenchmark.p',clause14) ).
fof(f398,plain,
spl0_22,
inference(avatar_split_clause,[],[f13,f396]) ).
fof(f396,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/sandbox2/benchmark/theBenchmark.p',clause13) ).
fof(f394,plain,
spl0_21,
inference(avatar_split_clause,[],[f12,f392]) ).
fof(f392,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/sandbox2/benchmark/theBenchmark.p',clause12) ).
fof(f390,plain,
~ spl0_20,
inference(avatar_split_clause,[],[f11,f387]) ).
fof(f387,plain,
( spl0_20
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
fof(f385,plain,
spl0_19,
inference(avatar_split_clause,[],[f10,f382]) ).
fof(f382,plain,
( spl0_19
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
fof(f380,plain,
spl0_18,
inference(avatar_split_clause,[],[f9,f377]) ).
fof(f377,plain,
( spl0_18
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
fof(f375,plain,
spl0_17,
inference(avatar_split_clause,[],[f8,f372]) ).
fof(f372,plain,
( spl0_17
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
fof(f370,plain,
spl0_16,
inference(avatar_split_clause,[],[f7,f367]) ).
fof(f367,plain,
( spl0_16
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
fof(f365,plain,
spl0_15,
inference(avatar_split_clause,[],[f6,f362]) ).
fof(f362,plain,
( spl0_15
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
fof(f360,plain,
spl0_14,
inference(avatar_split_clause,[],[f5,f357]) ).
fof(f357,plain,
( spl0_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
fof(f355,plain,
spl0_13,
inference(avatar_split_clause,[],[f4,f352]) ).
fof(f352,plain,
( spl0_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
fof(f350,plain,
spl0_12,
inference(avatar_split_clause,[],[f3,f347]) ).
fof(f347,plain,
( spl0_12
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
fof(f345,plain,
spl0_11,
inference(avatar_split_clause,[],[f2,f342]) ).
fof(f342,plain,
( spl0_11
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
fof(f340,plain,
spl0_10,
inference(avatar_split_clause,[],[f1,f337]) ).
fof(f337,plain,
( spl0_10
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
fof(f335,plain,
( spl0_9
| spl0_8 ),
inference(avatar_split_clause,[],[f228,f327,f332]) ).
fof(f228,axiom,
( ssList(sk13)
| ssItem(sk8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_43) ).
fof(f330,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f218,f322,f327]) ).
fof(f218,axiom,
( ssList(sk7)
| ssList(sk13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_33) ).
fof(f325,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f214,f322,f317]) ).
fof(f214,axiom,
( ssList(sk7)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_29) ).
fof(f320,plain,
( spl0_6
| spl0_5 ),
inference(avatar_split_clause,[],[f213,f312,f317]) ).
fof(f312,plain,
( spl0_5
<=> ssItem(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f213,axiom,
( ssItem(sk6)
| ssItem(sk12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_28) ).
fof(f315,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f207,f312,f303]) ).
fof(f207,axiom,
( ssItem(sk6)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_22) ).
fof(f310,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f206,f307,f303]) ).
fof(f307,plain,
( spl0_4
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f206,axiom,
( ssItem(sk5)
| ssItem(sk11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_21) ).
fof(f301,plain,
spl0_2,
inference(avatar_split_clause,[],[f242,f298]) ).
fof(f242,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
fof(f296,plain,
spl0_1,
inference(avatar_split_clause,[],[f189,f293]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC413-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n013.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 : Fri May 3 20:33:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (27330)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38 % (27333)WARNING: value z3 for option sas not known
% 0.21/0.38 % (27333)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)
% 0.21/0.38 % (27334)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.38 % (27332)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.38 % (27331)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38 % (27335)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)
% 0.21/0.38 % (27336)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)
% 0.21/0.38 % (27337)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)
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.42 TRYING [3]
% 0.21/0.46 % (27335)First to succeed.
% 0.21/0.47 % (27335)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27330"
% 0.21/0.47 % (27335)Refutation found. Thanks to Tanya!
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.47 % (27335)------------------------------
% 0.21/0.47 % (27335)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.47 % (27335)Termination reason: Refutation
% 0.21/0.47
% 0.21/0.47 % (27335)Memory used [KB]: 2484
% 0.21/0.47 % (27335)Time elapsed: 0.087 s
% 0.21/0.47 % (27335)Instructions burned: 149 (million)
% 0.21/0.47 % (27330)Success in time 0.102 s
%------------------------------------------------------------------------------