TSTP Solution File: SWC399-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC399-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n032.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 : Thu Aug 31 20:59:11 EDT 2023
% Result : Unsatisfiable 0.15s 0.36s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 258
% Syntax : Number of formulae : 756 ( 39 unt; 0 def)
% Number of atoms : 3130 ( 340 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 4553 (2179 ~;2201 |; 0 &)
% ( 173 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 188 ( 186 usr; 174 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 10 con; 0-2 aty)
% Number of variables : 766 (; 766 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1826,plain,
$false,
inference(avatar_sat_refutation,[],[f256,f272,f276,f280,f285,f288,f297,f299,f301,f315,f319,f323,f327,f331,f335,f344,f346,f356,f360,f364,f368,f380,f384,f388,f393,f403,f407,f411,f415,f426,f432,f436,f440,f467,f480,f484,f488,f489,f493,f494,f498,f503,f508,f512,f514,f516,f518,f548,f549,f575,f579,f588,f592,f597,f602,f650,f655,f659,f664,f677,f681,f685,f689,f722,f726,f731,f736,f737,f801,f802,f834,f839,f845,f858,f871,f875,f879,f880,f884,f885,f889,f893,f897,f901,f905,f916,f921,f935,f959,f1003,f1007,f1011,f1015,f1019,f1024,f1029,f1033,f1037,f1041,f1045,f1046,f1050,f1054,f1058,f1062,f1066,f1070,f1074,f1079,f1081,f1082,f1318,f1323,f1328,f1338,f1340,f1343,f1353,f1357,f1371,f1417,f1421,f1433,f1437,f1441,f1454,f1458,f1462,f1477,f1481,f1485,f1489,f1510,f1513,f1524,f1528,f1532,f1533,f1537,f1538,f1542,f1546,f1551,f1556,f1580,f1586,f1617,f1621,f1625,f1629,f1633,f1644,f1648,f1652,f1656,f1665,f1685,f1689,f1693,f1697,f1701,f1705,f1706,f1710,f1711,f1715,f1719,f1725,f1731,f1737,f1741,f1745,f1747,f1779,f1783,f1787,f1788,f1792,f1793,f1797,f1801,f1802,f1808,f1812,f1816,f1820,f1825]) ).
fof(f1825,plain,
( spl5_173
| ~ spl5_3
| ~ spl5_9
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1807,f1662,f291,f262,f1822]) ).
fof(f1822,plain,
( spl5_173
<=> sF1 = app(skaf42(sF1,sk7),cons(sk7,skaf43(sk7,sF1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_173])]) ).
fof(f262,plain,
( spl5_3
<=> ssItem(sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_3])]) ).
fof(f291,plain,
( spl5_9
<=> ssList(sF1) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_9])]) ).
fof(f1662,plain,
( spl5_149
<=> memberP(sF1,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_149])]) ).
fof(f1807,plain,
( ~ ssList(sF1)
| ~ ssItem(sk7)
| sF1 = app(skaf42(sF1,sk7),cons(sk7,skaf43(sk7,sF1)))
| ~ spl5_149 ),
inference(resolution,[],[f1664,f169]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause169) ).
fof(f1664,plain,
( memberP(sF1,sk7)
| ~ spl5_149 ),
inference(avatar_component_clause,[],[f1662]) ).
fof(f1820,plain,
( ~ spl5_3
| ~ spl5_9
| spl5_172
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1806,f1662,f1818,f291,f262]) ).
fof(f1818,plain,
( spl5_172
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(cons(X2,sF1),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_172])]) ).
fof(f1806,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ ssList(sF1)
| ~ ssItem(sk7)
| memberP(cons(X2,sF1),sk7) )
| ~ spl5_149 ),
inference(resolution,[],[f1664,f139]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(cons(X2,X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause139) ).
fof(f1816,plain,
( ~ spl5_3
| ~ spl5_9
| spl5_171
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1805,f1662,f1814,f291,f262]) ).
fof(f1814,plain,
( spl5_171
<=> ! [X1] :
( ~ ssList(X1)
| memberP(app(sF1,X1),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_171])]) ).
fof(f1805,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssList(sF1)
| ~ ssItem(sk7)
| memberP(app(sF1,X1),sk7) )
| ~ spl5_149 ),
inference(resolution,[],[f1664,f140]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X1)
| memberP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause140) ).
fof(f1812,plain,
( ~ spl5_3
| spl5_170
| ~ spl5_9
| ~ spl5_149 ),
inference(avatar_split_clause,[],[f1804,f1662,f291,f1810,f262]) ).
fof(f1810,plain,
( spl5_170
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sF1),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_170])]) ).
fof(f1804,plain,
( ! [X0] :
( ~ ssList(sF1)
| ~ ssList(X0)
| ~ ssItem(sk7)
| memberP(app(X0,sF1),sk7) )
| ~ spl5_149 ),
inference(resolution,[],[f1664,f141]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| memberP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause141) ).
fof(f1808,plain,
~ spl5_149,
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1803,plain,
( $false
| ~ spl5_149 ),
inference(resolution,[],[f1664,f244]) ).
fof(f244,plain,
~ memberP(sF1,sk7),
inference(backward_demodulation,[],[f204,f232]) ).
fof(f232,plain,
sk4 = sF1,
inference(definition_folding,[],[f194,f231,f230]) ).
fof(f230,plain,
app(sk5,sk3) = sF0,
introduced(function_definition,[]) ).
fof(f231,plain,
app(sF0,sk6) = sF1,
introduced(function_definition,[]) ).
fof(f194,axiom,
sk4 = app(app(sk5,sk3),sk6),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_9) ).
fof(f204,plain,
~ memberP(sk4,sk7),
inference(definition_unfolding,[],[f200,f190]) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_5) ).
fof(f200,axiom,
~ memberP(sk2,sk7),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_15) ).
fof(f1802,plain,
( ~ spl5_111
| spl5_164 ),
inference(avatar_split_clause,[],[f1761,f1777,f1315]) ).
fof(f1315,plain,
( spl5_111
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_111])]) ).
fof(f1777,plain,
( spl5_164
<=> ! [X2,X1] :
( app(X1,X2) = app(X1,app(X2,nil))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_164])]) ).
fof(f1761,plain,
! [X19,X20] :
( app(X19,X20) = app(X19,app(X20,nil))
| ~ ssList(X19)
| ~ ssList(X20)
| ~ ssList(nil)
| ~ ssList(app(X19,X20)) ),
inference(superposition,[],[f149,f73]) ).
fof(f73,axiom,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause73) ).
fof(f149,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause149) ).
fof(f1801,plain,
( ~ spl5_111
| spl5_169 ),
inference(avatar_split_clause,[],[f1765,f1799,f1315]) ).
fof(f1799,plain,
( spl5_169
<=> ! [X18,X17] :
( ~ ssList(app(X17,X18))
| segmentP(app(X17,X18),X18)
| ~ ssList(X17)
| ~ ssList(X18) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_169])]) ).
fof(f1765,plain,
! [X18,X17] :
( ~ ssList(app(X17,X18))
| ~ ssList(nil)
| ~ ssList(X18)
| ~ ssList(X17)
| segmentP(app(X17,X18),X18) ),
inference(duplicate_literal_removal,[],[f1760]) ).
fof(f1760,plain,
! [X18,X17] :
( ~ ssList(app(X17,X18))
| ~ ssList(nil)
| ~ ssList(X18)
| ~ ssList(X17)
| segmentP(app(X17,X18),X18)
| ~ ssList(app(X17,X18)) ),
inference(superposition,[],[f221,f73]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause173) ).
fof(f1797,plain,
( ~ spl5_111
| spl5_168 ),
inference(avatar_split_clause,[],[f1769,f1795,f1315]) ).
fof(f1795,plain,
( spl5_168
<=> ! [X12,X11] :
( cons(X12,X11) = app(cons(X12,X11),nil)
| ~ ssItem(X12)
| ~ ssList(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_168])]) ).
fof(f1769,plain,
! [X11,X12] :
( cons(X12,X11) = app(cons(X12,X11),nil)
| ~ ssList(nil)
| ~ ssList(X11)
| ~ ssItem(X12) ),
inference(duplicate_literal_removal,[],[f1756]) ).
fof(f1756,plain,
! [X11,X12] :
( cons(X12,X11) = app(cons(X12,X11),nil)
| ~ ssList(nil)
| ~ ssList(X11)
| ~ ssItem(X12)
| ~ ssList(X11) ),
inference(superposition,[],[f157,f73]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause157) ).
fof(f1793,plain,
( ~ spl5_111
| spl5_167 ),
inference(avatar_split_clause,[],[f1770,f1790,f1315]) ).
fof(f1790,plain,
( spl5_167
<=> ! [X7,X8] :
( app(X8,nil) != X7
| ~ ssList(X7)
| X7 = X8
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_167])]) ).
fof(f1770,plain,
! [X10,X9] :
( app(X10,nil) != X9
| ~ ssList(X9)
| ~ ssList(nil)
| X9 = X10
| ~ ssList(X10) ),
inference(duplicate_literal_removal,[],[f1755]) ).
fof(f1755,plain,
! [X10,X9] :
( app(X10,nil) != X9
| ~ ssList(X9)
| ~ ssList(nil)
| X9 = X10
| ~ ssList(X10)
| ~ ssList(X9) ),
inference(superposition,[],[f151,f73]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause151) ).
fof(f1792,plain,
( ~ spl5_111
| spl5_167 ),
inference(avatar_split_clause,[],[f1771,f1790,f1315]) ).
fof(f1771,plain,
! [X8,X7] :
( app(X8,nil) != X7
| ~ ssList(X8)
| ~ ssList(nil)
| X7 = X8
| ~ ssList(X7) ),
inference(duplicate_literal_removal,[],[f1754]) ).
fof(f1754,plain,
! [X8,X7] :
( app(X8,nil) != X7
| ~ ssList(X8)
| ~ ssList(nil)
| X7 = X8
| ~ ssList(X7)
| ~ ssList(X7) ),
inference(superposition,[],[f151,f73]) ).
fof(f1788,plain,
( ~ spl5_111
| spl5_166 ),
inference(avatar_split_clause,[],[f1772,f1785,f1315]) ).
fof(f1785,plain,
( spl5_166
<=> ! [X4,X3] :
( app(X3,X4) != X3
| nil = X4
| ~ ssList(X3)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_166])]) ).
fof(f1772,plain,
! [X6,X5] :
( app(X5,X6) != X5
| ~ ssList(nil)
| ~ ssList(X5)
| nil = X6
| ~ ssList(X6) ),
inference(duplicate_literal_removal,[],[f1753]) ).
fof(f1753,plain,
! [X6,X5] :
( app(X5,X6) != X5
| ~ ssList(nil)
| ~ ssList(X5)
| nil = X6
| ~ ssList(X6)
| ~ ssList(X5) ),
inference(superposition,[],[f150,f73]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X2)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause150) ).
fof(f1787,plain,
( ~ spl5_111
| spl5_166 ),
inference(avatar_split_clause,[],[f1773,f1785,f1315]) ).
fof(f1773,plain,
! [X3,X4] :
( app(X3,X4) != X3
| ~ ssList(X4)
| ~ ssList(X3)
| nil = X4
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f1752]) ).
fof(f1752,plain,
! [X3,X4] :
( app(X3,X4) != X3
| ~ ssList(X4)
| ~ ssList(X3)
| nil = X4
| ~ ssList(nil)
| ~ ssList(X3) ),
inference(superposition,[],[f150,f73]) ).
fof(f1783,plain,
( ~ spl5_111
| spl5_165 ),
inference(avatar_split_clause,[],[f1774,f1781,f1315]) ).
fof(f1781,plain,
( spl5_165
<=> ! [X2,X1] :
( app(X1,X2) = app(X1,app(nil,X2))
| ~ ssList(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_165])]) ).
fof(f1774,plain,
! [X2,X1] :
( app(X1,X2) = app(X1,app(nil,X2))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f1751]) ).
fof(f1751,plain,
! [X2,X1] :
( app(X1,X2) = app(X1,app(nil,X2))
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(superposition,[],[f149,f73]) ).
fof(f1779,plain,
( ~ spl5_111
| spl5_164 ),
inference(avatar_split_clause,[],[f1748,f1777,f1315]) ).
fof(f1748,plain,
! [X2,X1] :
( app(X1,X2) = app(X1,app(X2,nil))
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(nil) ),
inference(superposition,[],[f73,f149]) ).
fof(f1747,plain,
spl5_148,
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1746,plain,
( $false
| spl5_148 ),
inference(resolution,[],[f1660,f193]) ).
fof(f193,axiom,
ssList(sk6),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_8) ).
fof(f1660,plain,
( ~ ssList(sk6)
| spl5_148 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1658,plain,
( spl5_148
<=> ssList(sk6) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_148])]) ).
fof(f1745,plain,
( ~ spl5_111
| spl5_163 ),
inference(avatar_split_clause,[],[f1681,f1743,f1315]) ).
fof(f1743,plain,
( spl5_163
<=> ! [X35] :
( memberP(sF2(X35),X35)
| ~ ssItem(X35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_163])]) ).
fof(f1681,plain,
! [X35] :
( memberP(sF2(X35),X35)
| ~ ssList(nil)
| ~ ssItem(X35) ),
inference(superposition,[],[f241,f233]) ).
fof(f233,plain,
! [X6] : cons(X6,nil) = sF2(X6),
introduced(function_definition,[]) ).
fof(f241,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f215]) ).
fof(f215,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause138) ).
fof(f1741,plain,
( ~ spl5_111
| spl5_162 ),
inference(avatar_split_clause,[],[f1680,f1739,f1315]) ).
fof(f1739,plain,
( spl5_162
<=> ! [X34,X32,X33] :
( ~ ssList(app(X33,cons(X34,sF2(X32))))
| X32 = X34
| ~ ssList(X33)
| ~ equalelemsP(app(X33,cons(X34,sF2(X32))))
| ~ ssItem(X34)
| ~ ssItem(X32) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_162])]) ).
fof(f1680,plain,
! [X34,X32,X33] :
( ~ ssList(app(X33,cons(X34,sF2(X32))))
| ~ ssItem(X32)
| ~ ssItem(X34)
| ~ equalelemsP(app(X33,cons(X34,sF2(X32))))
| ~ ssList(X33)
| ~ ssList(nil)
| X32 = X34 ),
inference(superposition,[],[f224,f233]) ).
fof(f224,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(X0,cons(X1,cons(X2,X3))))
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ equalelemsP(app(X0,cons(X1,cons(X2,X3))))
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2 ),
inference(equality_resolution,[],[f180]) ).
fof(f180,axiom,
! [X2,X3,X0,X1,X4] :
( ~ equalelemsP(X4)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X3)
| X1 = X2
| app(X0,cons(X1,cons(X2,X3))) != X4 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause180) ).
fof(f1737,plain,
( ~ spl5_111
| spl5_161 ),
inference(avatar_split_clause,[],[f1733,f1735,f1315]) ).
fof(f1735,plain,
( spl5_161
<=> ! [X29,X30,X31] :
( ~ duplicatefreeP(sF3(app(X30,cons(X29,X31)),X29))
| ~ ssList(X31)
| ~ ssList(X30)
| ~ ssItem(X29)
| ~ ssList(sF3(app(X30,cons(X29,X31)),X29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_161])]) ).
fof(f1733,plain,
! [X31,X29,X30] :
( ~ duplicatefreeP(sF3(app(X30,cons(X29,X31)),X29))
| ~ ssList(sF3(app(X30,cons(X29,X31)),X29))
| ~ ssItem(X29)
| ~ ssList(X30)
| ~ ssList(X31)
| ~ ssList(nil) ),
inference(forward_demodulation,[],[f1732,f234]) ).
fof(f234,plain,
! [X6,X7] : app(X7,sF2(X6)) = sF3(X7,X6),
introduced(function_definition,[]) ).
fof(f1732,plain,
! [X31,X29,X30] :
( ~ ssList(sF3(app(X30,cons(X29,X31)),X29))
| ~ ssItem(X29)
| ~ duplicatefreeP(app(app(X30,cons(X29,X31)),sF2(X29)))
| ~ ssList(X30)
| ~ ssList(X31)
| ~ ssList(nil) ),
inference(forward_demodulation,[],[f1679,f234]) ).
fof(f1679,plain,
! [X31,X29,X30] :
( ~ ssList(app(app(X30,cons(X29,X31)),sF2(X29)))
| ~ ssItem(X29)
| ~ duplicatefreeP(app(app(X30,cons(X29,X31)),sF2(X29)))
| ~ ssList(X30)
| ~ ssList(X31)
| ~ ssList(nil) ),
inference(superposition,[],[f222,f233]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssItem(X1)
| ~ duplicatefreeP(app(app(X0,cons(X1,X2)),cons(X1,X3)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(equality_resolution,[],[f179]) ).
fof(f179,axiom,
! [X2,X3,X0,X1,X4] :
( ~ duplicatefreeP(X4)
| ~ ssItem(X1)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X0,cons(X1,X2)),cons(X1,X3)) != X4 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause179) ).
fof(f1731,plain,
( ~ spl5_111
| spl5_160 ),
inference(avatar_split_clause,[],[f1727,f1729,f1315]) ).
fof(f1729,plain,
( spl5_160
<=> ! [X27,X28,X26] :
( ~ duplicatefreeP(app(sF3(X27,X26),cons(X26,X28)))
| ~ ssList(X28)
| ~ ssList(X27)
| ~ ssItem(X26)
| ~ ssList(app(sF3(X27,X26),cons(X26,X28))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_160])]) ).
fof(f1727,plain,
! [X28,X26,X27] :
( ~ duplicatefreeP(app(sF3(X27,X26),cons(X26,X28)))
| ~ ssList(app(sF3(X27,X26),cons(X26,X28)))
| ~ ssItem(X26)
| ~ ssList(X27)
| ~ ssList(nil)
| ~ ssList(X28) ),
inference(forward_demodulation,[],[f1726,f234]) ).
fof(f1726,plain,
! [X28,X26,X27] :
( ~ ssList(app(sF3(X27,X26),cons(X26,X28)))
| ~ ssItem(X26)
| ~ duplicatefreeP(app(app(X27,sF2(X26)),cons(X26,X28)))
| ~ ssList(X27)
| ~ ssList(nil)
| ~ ssList(X28) ),
inference(forward_demodulation,[],[f1678,f234]) ).
fof(f1678,plain,
! [X28,X26,X27] :
( ~ ssList(app(app(X27,sF2(X26)),cons(X26,X28)))
| ~ ssItem(X26)
| ~ duplicatefreeP(app(app(X27,sF2(X26)),cons(X26,X28)))
| ~ ssList(X27)
| ~ ssList(nil)
| ~ ssList(X28) ),
inference(superposition,[],[f222,f233]) ).
fof(f1725,plain,
( ~ spl5_111
| spl5_159 ),
inference(avatar_split_clause,[],[f1721,f1723,f1315]) ).
fof(f1723,plain,
( spl5_159
<=> ! [X25,X24] :
( memberP(sF3(X25,X24),X24)
| ~ ssList(X25)
| ~ ssItem(X24)
| ~ ssList(sF3(X25,X24)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_159])]) ).
fof(f1721,plain,
! [X24,X25] :
( memberP(sF3(X25,X24),X24)
| ~ ssList(sF3(X25,X24))
| ~ ssItem(X24)
| ~ ssList(X25)
| ~ ssList(nil) ),
inference(forward_demodulation,[],[f1720,f234]) ).
fof(f1720,plain,
! [X24,X25] :
( ~ ssList(sF3(X25,X24))
| ~ ssItem(X24)
| ~ ssList(X25)
| ~ ssList(nil)
| memberP(app(X25,sF2(X24)),X24) ),
inference(forward_demodulation,[],[f1677,f234]) ).
fof(f1677,plain,
! [X24,X25] :
( ~ ssList(app(X25,sF2(X24)))
| ~ ssItem(X24)
| ~ ssList(X25)
| ~ ssList(nil)
| memberP(app(X25,sF2(X24)),X24) ),
inference(superposition,[],[f220,f233]) ).
fof(f220,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(app(X0,cons(X1,X2)),X1) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| memberP(X3,X1)
| app(X0,cons(X1,X2)) != X3 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause175) ).
fof(f1719,plain,
( ~ spl5_111
| spl5_158 ),
inference(avatar_split_clause,[],[f1676,f1717,f1315]) ).
fof(f1717,plain,
( spl5_158
<=> ! [X22,X21,X23] :
( ~ frontsegP(cons(X22,X23),sF2(X21))
| ~ ssItem(X22)
| X21 = X22
| ~ ssList(X23)
| ~ ssItem(X21) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_158])]) ).
fof(f1676,plain,
! [X21,X22,X23] :
( ~ frontsegP(cons(X22,X23),sF2(X21))
| ~ ssItem(X21)
| ~ ssList(X23)
| ~ ssList(nil)
| X21 = X22
| ~ ssItem(X22) ),
inference(superposition,[],[f176,f233]) ).
fof(f176,axiom,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X1),cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause176) ).
fof(f1715,plain,
( ~ spl5_111
| spl5_157 ),
inference(avatar_split_clause,[],[f1675,f1713,f1315]) ).
fof(f1713,plain,
( spl5_157
<=> ! [X20,X18,X19] :
( ~ frontsegP(sF2(X18),cons(X19,X20))
| ~ ssItem(X18)
| X18 = X19
| ~ ssList(X20)
| ~ ssItem(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_157])]) ).
fof(f1675,plain,
! [X18,X19,X20] :
( ~ frontsegP(sF2(X18),cons(X19,X20))
| ~ ssItem(X19)
| ~ ssList(nil)
| ~ ssList(X20)
| X18 = X19
| ~ ssItem(X18) ),
inference(superposition,[],[f176,f233]) ).
fof(f1711,plain,
( ~ spl5_111
| spl5_156 ),
inference(avatar_split_clause,[],[f1674,f1708,f1315]) ).
fof(f1708,plain,
( spl5_156
<=> ! [X13,X12,X14] :
( sF2(X12) != cons(X13,X14)
| ~ ssItem(X13)
| nil = X14
| ~ ssList(X14)
| ~ ssItem(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_156])]) ).
fof(f1674,plain,
! [X16,X17,X15] :
( sF2(X15) != cons(X16,X17)
| ~ ssItem(X16)
| ~ ssList(X17)
| ~ ssList(nil)
| nil = X17
| ~ ssItem(X15) ),
inference(superposition,[],[f171,f233]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause171) ).
fof(f1710,plain,
( ~ spl5_111
| spl5_156 ),
inference(avatar_split_clause,[],[f1673,f1708,f1315]) ).
fof(f1673,plain,
! [X14,X12,X13] :
( sF2(X12) != cons(X13,X14)
| ~ ssItem(X12)
| ~ ssList(nil)
| ~ ssList(X14)
| nil = X14
| ~ ssItem(X13) ),
inference(superposition,[],[f171,f233]) ).
fof(f1706,plain,
( ~ spl5_111
| spl5_155 ),
inference(avatar_split_clause,[],[f1672,f1703,f1315]) ).
fof(f1703,plain,
( spl5_155
<=> ! [X6,X8,X7] :
( sF2(X6) != cons(X7,X8)
| ~ ssItem(X7)
| X6 = X7
| ~ ssList(X8)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_155])]) ).
fof(f1672,plain,
! [X10,X11,X9] :
( sF2(X9) != cons(X10,X11)
| ~ ssItem(X10)
| ~ ssList(X11)
| ~ ssList(nil)
| X9 = X10
| ~ ssItem(X9) ),
inference(superposition,[],[f170,f233]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause170) ).
fof(f1705,plain,
( ~ spl5_111
| spl5_155 ),
inference(avatar_split_clause,[],[f1671,f1703,f1315]) ).
fof(f1671,plain,
! [X8,X6,X7] :
( sF2(X6) != cons(X7,X8)
| ~ ssItem(X6)
| ~ ssList(nil)
| ~ ssList(X8)
| X6 = X7
| ~ ssItem(X7) ),
inference(superposition,[],[f170,f233]) ).
fof(f1701,plain,
( ~ spl5_111
| spl5_154 ),
inference(avatar_split_clause,[],[f1670,f1699,f1315]) ).
fof(f1699,plain,
( spl5_154
<=> ! [X4,X5] :
( ~ memberP(sF2(X4),X5)
| ~ ssItem(X4)
| memberP(nil,X5)
| X4 = X5
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_154])]) ).
fof(f1670,plain,
! [X4,X5] :
( ~ memberP(sF2(X4),X5)
| ~ ssItem(X5)
| ~ ssList(nil)
| X4 = X5
| memberP(nil,X5)
| ~ ssItem(X4) ),
inference(superposition,[],[f161,f233]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X2
| memberP(X1,X2)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause161) ).
fof(f1697,plain,
( ~ spl5_111
| spl5_153 ),
inference(avatar_split_clause,[],[f1669,f1695,f1315]) ).
fof(f1695,plain,
( spl5_153
<=> ! [X3] :
( nil != sF2(X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_153])]) ).
fof(f1669,plain,
! [X3] :
( nil != sF2(X3)
| ~ ssList(nil)
| ~ ssItem(X3) ),
inference(superposition,[],[f99,f233]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause99) ).
fof(f1693,plain,
( ~ spl5_111
| spl5_152 ),
inference(avatar_split_clause,[],[f1668,f1691,f1315]) ).
fof(f1691,plain,
( spl5_152
<=> ! [X2] :
( hd(sF2(X2)) = X2
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_152])]) ).
fof(f1668,plain,
! [X2] :
( hd(sF2(X2)) = X2
| ~ ssList(nil)
| ~ ssItem(X2) ),
inference(superposition,[],[f97,f233]) ).
fof(f97,axiom,
! [X0,X1] :
( hd(cons(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause97) ).
fof(f1689,plain,
( ~ spl5_111
| spl5_151 ),
inference(avatar_split_clause,[],[f1667,f1687,f1315]) ).
fof(f1687,plain,
( spl5_151
<=> ! [X1] :
( nil = tl(sF2(X1))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_151])]) ).
fof(f1667,plain,
! [X1] :
( nil = tl(sF2(X1))
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(superposition,[],[f96,f233]) ).
fof(f96,axiom,
! [X0,X1] :
( tl(cons(X0,X1)) = X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause96) ).
fof(f1685,plain,
( ~ spl5_111
| spl5_150 ),
inference(avatar_split_clause,[],[f1666,f1683,f1315]) ).
fof(f1683,plain,
( spl5_150
<=> ! [X0] :
( ssList(sF2(X0))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_150])]) ).
fof(f1666,plain,
! [X0] :
( ssList(sF2(X0))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f86,f233]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause86) ).
fof(f1665,plain,
( ~ spl5_148
| spl5_149
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1639,f382,f1662,f1658]) ).
fof(f382,plain,
( spl5_25
<=> ! [X1] :
( ~ ssList(X1)
| memberP(app(sF0,X1),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_25])]) ).
fof(f1639,plain,
( memberP(sF1,sk7)
| ~ ssList(sk6)
| ~ spl5_25 ),
inference(superposition,[],[f383,f231]) ).
fof(f383,plain,
( ! [X1] :
( memberP(app(sF0,X1),sk7)
| ~ ssList(X1) )
| ~ spl5_25 ),
inference(avatar_component_clause,[],[f382]) ).
fof(f1656,plain,
( ~ spl5_3
| spl5_147
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1638,f382,f1654,f262]) ).
fof(f1654,plain,
( spl5_147
<=> ! [X6] :
( ~ ssList(X6)
| app(sF0,X6) = app(skaf42(app(sF0,X6),sk7),cons(sk7,skaf43(sk7,app(sF0,X6))))
| ~ ssList(app(sF0,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_147])]) ).
fof(f1638,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(sF0,X6))
| ~ ssItem(sk7)
| app(sF0,X6) = app(skaf42(app(sF0,X6),sk7),cons(sk7,skaf43(sk7,app(sF0,X6)))) )
| ~ spl5_25 ),
inference(resolution,[],[f383,f169]) ).
fof(f1652,plain,
( ~ spl5_3
| spl5_146
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1637,f382,f1650,f262]) ).
fof(f1650,plain,
( spl5_146
<=> ! [X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(sF0,X4))
| ~ ssItem(X5)
| memberP(cons(X5,app(sF0,X4)),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_146])]) ).
fof(f1637,plain,
( ! [X4,X5] :
( ~ ssList(X4)
| ~ ssItem(X5)
| ~ ssList(app(sF0,X4))
| ~ ssItem(sk7)
| memberP(cons(X5,app(sF0,X4)),sk7) )
| ~ spl5_25 ),
inference(resolution,[],[f383,f139]) ).
fof(f1648,plain,
( ~ spl5_3
| spl5_145
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1636,f382,f1646,f262]) ).
fof(f1646,plain,
( spl5_145
<=> ! [X2,X3] :
( ~ ssList(X2)
| memberP(app(app(sF0,X2),X3),sk7)
| ~ ssList(app(sF0,X2))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_145])]) ).
fof(f1636,plain,
( ! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(sF0,X2))
| ~ ssItem(sk7)
| memberP(app(app(sF0,X2),X3),sk7) )
| ~ spl5_25 ),
inference(resolution,[],[f383,f140]) ).
fof(f1644,plain,
( ~ spl5_3
| spl5_144
| ~ spl5_25 ),
inference(avatar_split_clause,[],[f1635,f382,f1642,f262]) ).
fof(f1642,plain,
( spl5_144
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| memberP(app(X1,app(sF0,X0)),sk7)
| ~ ssList(app(sF0,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_144])]) ).
fof(f1635,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(sF0,X0))
| ~ ssList(X1)
| ~ ssItem(sk7)
| memberP(app(X1,app(sF0,X0)),sk7) )
| ~ spl5_25 ),
inference(resolution,[],[f383,f141]) ).
fof(f1633,plain,
( ~ spl5_24
| spl5_143
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1612,f374,f1631,f377]) ).
fof(f377,plain,
( spl5_24
<=> ssList(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_24])]) ).
fof(f1631,plain,
( spl5_143
<=> ! [X0,X1] :
( memberP(app(X0,app(X1,sF0)),sk7)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(app(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_143])]) ).
fof(f374,plain,
( spl5_23
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sF0),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_23])]) ).
fof(f1612,plain,
( ! [X0,X1] :
( memberP(app(X0,app(X1,sF0)),sk7)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sF0) )
| ~ spl5_23 ),
inference(superposition,[],[f375,f149]) ).
fof(f375,plain,
( ! [X0] :
( memberP(app(X0,sF0),sk7)
| ~ ssList(X0) )
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f1629,plain,
( ~ spl5_3
| spl5_142
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1611,f374,f1627,f262]) ).
fof(f1627,plain,
( spl5_142
<=> ! [X6] :
( ~ ssList(X6)
| app(X6,sF0) = app(skaf42(app(X6,sF0),sk7),cons(sk7,skaf43(sk7,app(X6,sF0))))
| ~ ssList(app(X6,sF0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_142])]) ).
fof(f1611,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(X6,sF0))
| ~ ssItem(sk7)
| app(X6,sF0) = app(skaf42(app(X6,sF0),sk7),cons(sk7,skaf43(sk7,app(X6,sF0)))) )
| ~ spl5_23 ),
inference(resolution,[],[f375,f169]) ).
fof(f1625,plain,
( ~ spl5_3
| spl5_141
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1610,f374,f1623,f262]) ).
fof(f1623,plain,
( spl5_141
<=> ! [X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(X4,sF0))
| ~ ssItem(X5)
| memberP(cons(X5,app(X4,sF0)),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_141])]) ).
fof(f1610,plain,
( ! [X4,X5] :
( ~ ssList(X4)
| ~ ssItem(X5)
| ~ ssList(app(X4,sF0))
| ~ ssItem(sk7)
| memberP(cons(X5,app(X4,sF0)),sk7) )
| ~ spl5_23 ),
inference(resolution,[],[f375,f139]) ).
fof(f1621,plain,
( ~ spl5_3
| spl5_140
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1609,f374,f1619,f262]) ).
fof(f1619,plain,
( spl5_140
<=> ! [X2,X3] :
( ~ ssList(X2)
| memberP(app(app(X2,sF0),X3),sk7)
| ~ ssList(app(X2,sF0))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_140])]) ).
fof(f1609,plain,
( ! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(X2,sF0))
| ~ ssItem(sk7)
| memberP(app(app(X2,sF0),X3),sk7) )
| ~ spl5_23 ),
inference(resolution,[],[f375,f140]) ).
fof(f1617,plain,
( ~ spl5_3
| spl5_139
| ~ spl5_23 ),
inference(avatar_split_clause,[],[f1608,f374,f1615,f262]) ).
fof(f1615,plain,
( spl5_139
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| memberP(app(X1,app(X0,sF0)),sk7)
| ~ ssList(app(X0,sF0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_139])]) ).
fof(f1608,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,sF0))
| ~ ssList(X1)
| ~ ssItem(sk7)
| memberP(app(X1,app(X0,sF0)),sk7) )
| ~ spl5_23 ),
inference(resolution,[],[f375,f141]) ).
fof(f1586,plain,
( ~ spl5_111
| spl5_138
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1582,f1311,f1584,f1315]) ).
fof(f1584,plain,
( spl5_138
<=> ! [X5] :
( sF2(X5) = sF4(X5,nil)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_138])]) ).
fof(f1311,plain,
( spl5_110
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_110])]) ).
fof(f1582,plain,
( ! [X5] :
( sF2(X5) = sF4(X5,nil)
| ~ ssList(nil)
| ~ ssItem(X5) )
| ~ spl5_110 ),
inference(forward_demodulation,[],[f1581,f235]) ).
fof(f235,plain,
! [X8,X6] : app(sF2(X6),X8) = sF4(X6,X8),
introduced(function_definition,[]) ).
fof(f1581,plain,
( ! [X5] :
( sF2(X5) = app(sF2(X5),nil)
| ~ ssList(nil)
| ~ ssItem(X5) )
| ~ spl5_110 ),
inference(forward_demodulation,[],[f1570,f233]) ).
fof(f1570,plain,
( ! [X5] :
( cons(X5,nil) = app(cons(X5,nil),nil)
| ~ ssList(nil)
| ~ ssItem(X5) )
| ~ spl5_110 ),
inference(duplicate_literal_removal,[],[f1563]) ).
fof(f1563,plain,
( ! [X5] :
( cons(X5,nil) = app(cons(X5,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssItem(X5) )
| ~ spl5_110 ),
inference(superposition,[],[f157,f1313]) ).
fof(f1313,plain,
( nil = app(nil,nil)
| ~ spl5_110 ),
inference(avatar_component_clause,[],[f1311]) ).
fof(f1580,plain,
( ~ spl5_111
| spl5_137
| ~ spl5_110 ),
inference(avatar_split_clause,[],[f1575,f1311,f1578,f1315]) ).
fof(f1578,plain,
( spl5_137
<=> ! [X0] :
( app(nil,X0) = app(nil,app(nil,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_137])]) ).
fof(f1575,plain,
( ! [X0] :
( app(nil,X0) = app(nil,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl5_110 ),
inference(duplicate_literal_removal,[],[f1558]) ).
fof(f1558,plain,
( ! [X0] :
( app(nil,X0) = app(nil,app(nil,X0))
| ~ ssList(nil)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl5_110 ),
inference(superposition,[],[f149,f1313]) ).
fof(f1556,plain,
( spl5_136
| ~ spl5_5
| ~ spl5_17
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f1521,f377,f337,f269,f1553]) ).
fof(f1553,plain,
( spl5_136
<=> rearsegP(sF0,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_136])]) ).
fof(f269,plain,
( spl5_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_5])]) ).
fof(f337,plain,
( spl5_17
<=> ssList(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_17])]) ).
fof(f1521,plain,
( ~ ssList(sF0)
| ~ ssList(sk5)
| ~ ssList(sk3)
| rearsegP(sF0,sk3) ),
inference(superposition,[],[f216,f230]) ).
fof(f216,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1)
| rearsegP(app(X0,X1),X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,axiom,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1)
| rearsegP(X2,X1)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause143) ).
fof(f1551,plain,
( spl5_135
| ~ spl5_17
| ~ spl5_5
| ~ spl5_24 ),
inference(avatar_split_clause,[],[f1522,f377,f269,f337,f1548]) ).
fof(f1548,plain,
( spl5_135
<=> frontsegP(sF0,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_135])]) ).
fof(f1522,plain,
( ~ ssList(sF0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| frontsegP(sF0,sk5) ),
inference(superposition,[],[f217,f230]) ).
fof(f217,plain,
! [X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| frontsegP(app(X0,X1),X0) ),
inference(equality_resolution,[],[f144]) ).
fof(f144,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| frontsegP(X2,X0)
| app(X0,X1) != X2 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause144) ).
fof(f1546,plain,
( ~ spl5_17
| ~ spl5_5
| spl5_134 ),
inference(avatar_split_clause,[],[f1523,f1544,f269,f337]) ).
fof(f1544,plain,
( spl5_134
<=> ! [X6] :
( ~ ssList(app(sF0,X6))
| segmentP(app(sF0,X6),sk3)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_134])]) ).
fof(f1523,plain,
! [X6] :
( ~ ssList(app(sF0,X6))
| ~ ssList(X6)
| ~ ssList(sk3)
| ~ ssList(sk5)
| segmentP(app(sF0,X6),sk3) ),
inference(superposition,[],[f221,f230]) ).
fof(f1542,plain,
( ~ spl5_17
| ~ spl5_5
| spl5_133 ),
inference(avatar_split_clause,[],[f1520,f1540,f269,f337]) ).
fof(f1540,plain,
( spl5_133
<=> ! [X5] :
( app(cons(X5,sk5),sk3) = cons(X5,sF0)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_133])]) ).
fof(f1520,plain,
! [X5] :
( app(cons(X5,sk5),sk3) = cons(X5,sF0)
| ~ ssList(sk3)
| ~ ssList(sk5)
| ~ ssItem(X5) ),
inference(superposition,[],[f157,f230]) ).
fof(f1538,plain,
( ~ spl5_5
| ~ spl5_17
| spl5_132 ),
inference(avatar_split_clause,[],[f1519,f1535,f337,f269]) ).
fof(f1535,plain,
( spl5_132
<=> ! [X3] :
( sF0 != app(X3,sk3)
| sk5 = X3
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_132])]) ).
fof(f1519,plain,
! [X4] :
( sF0 != app(X4,sk3)
| ~ ssList(sk5)
| ~ ssList(sk3)
| sk5 = X4
| ~ ssList(X4) ),
inference(superposition,[],[f151,f230]) ).
fof(f1537,plain,
( ~ spl5_17
| ~ spl5_5
| spl5_132 ),
inference(avatar_split_clause,[],[f1518,f1535,f269,f337]) ).
fof(f1518,plain,
! [X3] :
( sF0 != app(X3,sk3)
| ~ ssList(X3)
| ~ ssList(sk3)
| sk5 = X3
| ~ ssList(sk5) ),
inference(superposition,[],[f151,f230]) ).
fof(f1533,plain,
( ~ spl5_17
| ~ spl5_5
| spl5_131 ),
inference(avatar_split_clause,[],[f1517,f1530,f269,f337]) ).
fof(f1530,plain,
( spl5_131
<=> ! [X1] :
( sF0 != app(sk5,X1)
| sk3 = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_131])]) ).
fof(f1517,plain,
! [X2] :
( sF0 != app(sk5,X2)
| ~ ssList(sk3)
| ~ ssList(sk5)
| sk3 = X2
| ~ ssList(X2) ),
inference(superposition,[],[f150,f230]) ).
fof(f1532,plain,
( ~ spl5_5
| ~ spl5_17
| spl5_131 ),
inference(avatar_split_clause,[],[f1516,f1530,f337,f269]) ).
fof(f1516,plain,
! [X1] :
( sF0 != app(sk5,X1)
| ~ ssList(X1)
| ~ ssList(sk5)
| sk3 = X1
| ~ ssList(sk3) ),
inference(superposition,[],[f150,f230]) ).
fof(f1528,plain,
( ~ spl5_5
| ~ spl5_17
| spl5_130 ),
inference(avatar_split_clause,[],[f1515,f1526,f337,f269]) ).
fof(f1526,plain,
( spl5_130
<=> ! [X0] :
( app(sF0,X0) = app(sk5,app(sk3,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_130])]) ).
fof(f1515,plain,
! [X0] :
( app(sF0,X0) = app(sk5,app(sk3,X0))
| ~ ssList(sk5)
| ~ ssList(sk3)
| ~ ssList(X0) ),
inference(superposition,[],[f149,f230]) ).
fof(f1524,plain,
( ~ spl5_5
| ~ spl5_17
| spl5_24 ),
inference(avatar_split_clause,[],[f1514,f377,f337,f269]) ).
fof(f1514,plain,
( ssList(sF0)
| ~ ssList(sk5)
| ~ ssList(sk3) ),
inference(superposition,[],[f85,f230]) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause85) ).
fof(f1513,plain,
( spl5_109
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1512,f831,f1076]) ).
fof(f1076,plain,
( spl5_109
<=> ssList(tl(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_109])]) ).
fof(f831,plain,
( spl5_70
<=> skaf43(sk7,sk3) = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_70])]) ).
fof(f1512,plain,
( ssList(tl(sk3))
| ~ spl5_70 ),
inference(superposition,[],[f52,f833]) ).
fof(f833,plain,
( skaf43(sk7,sk3) = tl(sk3)
| ~ spl5_70 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause52) ).
fof(f1510,plain,
( ~ spl5_111
| spl5_129 ),
inference(avatar_split_clause,[],[f1506,f1508,f1315]) ).
fof(f1508,plain,
( spl5_129
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ memberP(app(X1,nil),X0)
| ~ ssList(X1)
| memberP(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_129])]) ).
fof(f1506,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| memberP(X1,X0)
| ~ memberP(app(X1,nil),X0) ),
inference(duplicate_literal_removal,[],[f1505]) ).
fof(f1505,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(X0)
| memberP(X1,X0)
| ~ memberP(app(X1,nil),X0) ),
inference(resolution,[],[f71,f158]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( memberP(X1,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| memberP(X0,X2)
| ~ memberP(app(X0,X1),X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause158) ).
fof(f71,axiom,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause71) ).
fof(f1489,plain,
( ~ spl5_111
| spl5_128 ),
inference(avatar_split_clause,[],[f1468,f1487,f1315]) ).
fof(f1487,plain,
( spl5_128
<=> ! [X7] :
( ~ ssList(X7)
| app(nil,skaf45(X7,nil)) = X7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_128])]) ).
fof(f1468,plain,
! [X7] :
( ~ ssList(X7)
| ~ ssList(nil)
| app(nil,skaf45(X7,nil)) = X7 ),
inference(duplicate_literal_removal,[],[f1467]) ).
fof(f1467,plain,
! [X7] :
( ~ ssList(X7)
| ~ ssList(X7)
| ~ ssList(nil)
| app(nil,skaf45(X7,nil)) = X7 ),
inference(resolution,[],[f60,f132]) ).
fof(f132,axiom,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(X1,skaf45(X0,X1)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause132) ).
fof(f60,axiom,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause60) ).
fof(f1485,plain,
( ~ spl5_111
| spl5_127 ),
inference(avatar_split_clause,[],[f1469,f1483,f1315]) ).
fof(f1483,plain,
( spl5_127
<=> ! [X6,X5] :
( ~ ssList(X5)
| frontsegP(app(X5,X6),nil)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_127])]) ).
fof(f1469,plain,
! [X6,X5] :
( ~ ssList(X5)
| ~ ssList(nil)
| ~ ssList(X6)
| frontsegP(app(X5,X6),nil) ),
inference(duplicate_literal_removal,[],[f1466]) ).
fof(f1466,plain,
! [X6,X5] :
( ~ ssList(X5)
| ~ ssList(X5)
| ~ ssList(nil)
| ~ ssList(X6)
| frontsegP(app(X5,X6),nil) ),
inference(resolution,[],[f60,f137]) ).
fof(f137,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| frontsegP(app(X0,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause137) ).
fof(f1481,plain,
( ~ spl5_111
| spl5_126 ),
inference(avatar_split_clause,[],[f1471,f1479,f1315]) ).
fof(f1479,plain,
( spl5_126
<=> ! [X2,X3] :
( ~ ssList(X2)
| frontsegP(X2,X3)
| ~ frontsegP(nil,X3)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_126])]) ).
fof(f1471,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ frontsegP(nil,X3)
| ~ ssList(X3)
| frontsegP(X2,X3) ),
inference(duplicate_literal_removal,[],[f1464]) ).
fof(f1464,plain,
! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ frontsegP(nil,X3)
| ~ ssList(X3)
| frontsegP(X2,X3) ),
inference(resolution,[],[f60,f154]) ).
fof(f154,axiom,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| frontsegP(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause154) ).
fof(f1477,plain,
( ~ spl5_111
| spl5_125 ),
inference(avatar_split_clause,[],[f1473,f1475,f1315]) ).
fof(f1475,plain,
( spl5_125
<=> ! [X0,X1] :
( frontsegP(cons(X1,X0),sF2(X1))
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_125])]) ).
fof(f1473,plain,
! [X0,X1] :
( frontsegP(cons(X1,X0),sF2(X1))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(forward_demodulation,[],[f1472,f233]) ).
fof(f1472,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssItem(X1)
| frontsegP(cons(X1,X0),cons(X1,nil)) ),
inference(duplicate_literal_removal,[],[f1463]) ).
fof(f1463,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssItem(X1)
| frontsegP(cons(X1,X0),cons(X1,nil)) ),
inference(resolution,[],[f60,f243]) ).
fof(f243,plain,
! [X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X3)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(duplicate_literal_removal,[],[f223]) ).
fof(f223,plain,
! [X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1)
| frontsegP(cons(X3,X0),cons(X3,X1)) ),
inference(equality_resolution,[],[f178]) ).
fof(f178,axiom,
! [X2,X3,X0,X1] :
( ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X2 != X3
| ~ frontsegP(X0,X1)
| frontsegP(cons(X2,X0),cons(X3,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause178) ).
fof(f1462,plain,
( ~ spl5_111
| spl5_124 ),
inference(avatar_split_clause,[],[f1447,f1460,f1315]) ).
fof(f1460,plain,
( spl5_124
<=> ! [X5] :
( ~ ssList(X5)
| app(skaf46(X5,nil),nil) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_124])]) ).
fof(f1447,plain,
! [X5] :
( ~ ssList(X5)
| ~ ssList(nil)
| app(skaf46(X5,nil),nil) = X5 ),
inference(duplicate_literal_removal,[],[f1446]) ).
fof(f1446,plain,
! [X5] :
( ~ ssList(X5)
| ~ ssList(X5)
| ~ ssList(nil)
| app(skaf46(X5,nil),nil) = X5 ),
inference(resolution,[],[f58,f131]) ).
fof(f131,axiom,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(skaf46(X0,X1),X1) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause131) ).
fof(f58,axiom,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause58) ).
fof(f1458,plain,
( ~ spl5_111
| spl5_123 ),
inference(avatar_split_clause,[],[f1448,f1456,f1315]) ).
fof(f1456,plain,
( spl5_123
<=> ! [X4,X3] :
( ~ ssList(X3)
| ~ ssList(X4)
| rearsegP(app(X4,X3),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_123])]) ).
fof(f1448,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(nil)
| ~ ssList(X4)
| rearsegP(app(X4,X3),nil) ),
inference(duplicate_literal_removal,[],[f1445]) ).
fof(f1445,plain,
! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X3)
| ~ ssList(nil)
| ~ ssList(X4)
| rearsegP(app(X4,X3),nil) ),
inference(resolution,[],[f58,f136]) ).
fof(f136,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| rearsegP(app(X2,X0),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause136) ).
fof(f1454,plain,
( ~ spl5_111
| spl5_122 ),
inference(avatar_split_clause,[],[f1450,f1452,f1315]) ).
fof(f1452,plain,
( spl5_122
<=> ! [X0,X1] :
( ~ ssList(X0)
| rearsegP(X0,X1)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_122])]) ).
fof(f1450,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| ~ ssList(X1)
| rearsegP(X0,X1) ),
inference(duplicate_literal_removal,[],[f1443]) ).
fof(f1443,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ rearsegP(nil,X1)
| ~ ssList(X1)
| rearsegP(X0,X1) ),
inference(resolution,[],[f58,f153]) ).
fof(f153,axiom,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| rearsegP(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause153) ).
fof(f1441,plain,
( ~ spl5_111
| spl5_121 ),
inference(avatar_split_clause,[],[f1426,f1439,f1315]) ).
fof(f1439,plain,
( spl5_121
<=> ! [X6] :
( ~ ssList(X6)
| app(app(skaf47(X6,nil),nil),skaf48(nil,X6)) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_121])]) ).
fof(f1426,plain,
! [X6] :
( ~ ssList(X6)
| ~ ssList(nil)
| app(app(skaf47(X6,nil),nil),skaf48(nil,X6)) = X6 ),
inference(duplicate_literal_removal,[],[f1425]) ).
fof(f1425,plain,
! [X6] :
( ~ ssList(X6)
| ~ ssList(X6)
| ~ ssList(nil)
| app(app(skaf47(X6,nil),nil),skaf48(nil,X6)) = X6 ),
inference(resolution,[],[f56,f168]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause168) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause56) ).
fof(f1437,plain,
( ~ spl5_111
| spl5_120 ),
inference(avatar_split_clause,[],[f1428,f1435,f1315]) ).
fof(f1435,plain,
( spl5_120
<=> ! [X2,X3,X4] :
( ~ ssList(X2)
| segmentP(app(app(X3,X2),X4),nil)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_120])]) ).
fof(f1428,plain,
! [X2,X3,X4] :
( ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X4)
| segmentP(app(app(X3,X2),X4),nil) ),
inference(duplicate_literal_removal,[],[f1423]) ).
fof(f1423,plain,
! [X2,X3,X4] :
( ~ ssList(X2)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(X4)
| segmentP(app(app(X3,X2),X4),nil) ),
inference(resolution,[],[f56,f172]) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| segmentP(app(app(X3,X0),X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause172) ).
fof(f1433,plain,
( ~ spl5_111
| spl5_119 ),
inference(avatar_split_clause,[],[f1429,f1431,f1315]) ).
fof(f1431,plain,
( spl5_119
<=> ! [X0,X1] :
( ~ ssList(X0)
| segmentP(X0,X1)
| ~ segmentP(nil,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_119])]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| segmentP(X0,X1) ),
inference(duplicate_literal_removal,[],[f1422]) ).
fof(f1422,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X1)
| ~ ssList(X1)
| segmentP(X0,X1) ),
inference(resolution,[],[f56,f152]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause152) ).
fof(f1421,plain,
( spl5_118
| ~ spl5_117
| ~ spl5_3
| ~ spl5_70
| spl5_77 ),
inference(avatar_split_clause,[],[f1405,f864,f831,f262,f1414,f1419]) ).
fof(f1419,plain,
( spl5_118
<=> ! [X4,X5,X3] :
( ~ ssList(app(app(X3,cons(sk7,X4)),cons(hd(tl(sk3)),X5)))
| ~ totalorderedP(app(app(X3,cons(sk7,X4)),cons(hd(tl(sk3)),X5)))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_118])]) ).
fof(f1414,plain,
( spl5_117
<=> ssItem(hd(tl(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_117])]) ).
fof(f864,plain,
( spl5_77
<=> leq(sk7,hd(skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_77])]) ).
fof(f1405,plain,
( ! [X3,X4,X5] :
( ~ ssItem(sk7)
| ~ ssItem(hd(tl(sk3)))
| ~ ssList(app(app(X3,cons(sk7,X4)),cons(hd(tl(sk3)),X5)))
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ totalorderedP(app(app(X3,cons(sk7,X4)),cons(hd(tl(sk3)),X5))) )
| ~ spl5_70
| spl5_77 ),
inference(resolution,[],[f907,f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4] :
( leq(X1,X3)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(equality_resolution,[],[f182]) ).
fof(f182,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderedP(X5)
| ~ ssItem(X1)
| ~ ssItem(X3)
| ~ ssList(X5)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X4)
| leq(X1,X3)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause182) ).
fof(f907,plain,
( ~ leq(sk7,hd(tl(sk3)))
| ~ spl5_70
| spl5_77 ),
inference(backward_demodulation,[],[f866,f833]) ).
fof(f866,plain,
( ~ leq(sk7,hd(skaf43(sk7,sk3)))
| spl5_77 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f1417,plain,
( spl5_115
| spl5_116
| ~ spl5_117
| ~ spl5_3
| ~ spl5_70
| spl5_77 ),
inference(avatar_split_clause,[],[f1404,f864,f831,f262,f1414,f1411,f1407]) ).
fof(f1407,plain,
( spl5_115
<=> leq(hd(tl(sk3)),sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_115])]) ).
fof(f1411,plain,
( spl5_116
<=> ! [X2,X0,X1] :
( ~ ssList(app(app(X0,cons(hd(tl(sk3)),X1)),cons(sk7,X2)))
| ~ totalorderP(app(app(X0,cons(hd(tl(sk3)),X1)),cons(sk7,X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_116])]) ).
fof(f1404,plain,
( ! [X2,X0,X1] :
( ~ ssItem(sk7)
| ~ ssItem(hd(tl(sk3)))
| ~ ssList(app(app(X0,cons(hd(tl(sk3)),X1)),cons(sk7,X2)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| leq(hd(tl(sk3)),sk7)
| ~ totalorderP(app(app(X0,cons(hd(tl(sk3)),X1)),cons(sk7,X2))) )
| ~ spl5_70
| spl5_77 ),
inference(resolution,[],[f907,f229]) ).
fof(f229,plain,
! [X2,X3,X0,X1,X4] :
( leq(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| ~ totalorderP(app(app(X0,cons(X1,X2)),cons(X3,X4))) ),
inference(equality_resolution,[],[f184]) ).
fof(f184,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ totalorderP(X5)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0)
| ~ ssList(X2)
| leq(X1,X3)
| leq(X3,X1)
| app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause184) ).
fof(f1371,plain,
( spl5_114
| ~ spl5_5
| spl5_78 ),
inference(avatar_split_clause,[],[f1366,f868,f269,f1368]) ).
fof(f1368,plain,
( spl5_114
<=> sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_114])]) ).
fof(f868,plain,
( spl5_78
<=> totalorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_78])]) ).
fof(f1366,plain,
( ~ ssList(sk3)
| sk3 = app(app(skaf66(sk3),cons(skaf64(sk3),skaf67(sk3))),cons(skaf65(sk3),skaf68(sk3)))
| spl5_78 ),
inference(resolution,[],[f869,f164]) ).
fof(f164,axiom,
! [X0] :
( totalorderedP(X0)
| ~ ssList(X0)
| app(app(skaf66(X0),cons(skaf64(X0),skaf67(X0))),cons(skaf65(X0),skaf68(X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause164) ).
fof(f869,plain,
( ~ totalorderedP(sk3)
| spl5_78 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f1357,plain,
spl5_5,
inference(avatar_split_clause,[],[f202,f269]) ).
fof(f202,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_6) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_1) ).
fof(f1353,plain,
~ spl5_2,
inference(avatar_contradiction_clause,[],[f1348]) ).
fof(f1348,plain,
( $false
| ~ spl5_2 ),
inference(resolution,[],[f1094,f244]) ).
fof(f1094,plain,
( memberP(sF1,sk7)
| ~ spl5_2 ),
inference(backward_demodulation,[],[f205,f255]) ).
fof(f255,plain,
( sk3 = sF1
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl5_2
<=> sk3 = sF1 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_2])]) ).
fof(f205,plain,
memberP(sk3,sk7),
inference(definition_unfolding,[],[f199,f191]) ).
fof(f199,axiom,
memberP(sk1,sk7),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_14) ).
fof(f1343,plain,
spl5_111,
inference(avatar_split_clause,[],[f8,f1315]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause8) ).
fof(f1340,plain,
spl5_113,
inference(avatar_split_clause,[],[f1339,f1326]) ).
fof(f1326,plain,
( spl5_113
<=> ! [X1] :
( strictorderedP(sF2(X1))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_113])]) ).
fof(f1339,plain,
! [X0] :
( strictorderedP(sF2(X0))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f66,f233]) ).
fof(f66,axiom,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause66) ).
fof(f1338,plain,
spl5_112,
inference(avatar_split_clause,[],[f1337,f1321]) ).
fof(f1321,plain,
( spl5_112
<=> ! [X1] :
( totalorderedP(sF2(X1))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_112])]) ).
fof(f1337,plain,
! [X0] :
( totalorderedP(sF2(X0))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f67,f233]) ).
fof(f67,axiom,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause67) ).
fof(f1328,plain,
( ~ spl5_111
| spl5_113 ),
inference(avatar_split_clause,[],[f1324,f1326,f1315]) ).
fof(f1324,plain,
! [X1] :
( strictorderedP(sF2(X1))
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(forward_demodulation,[],[f212,f233]) ).
fof(f212,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| strictorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause112) ).
fof(f1323,plain,
( ~ spl5_111
| spl5_112 ),
inference(avatar_split_clause,[],[f1319,f1321,f1315]) ).
fof(f1319,plain,
! [X1] :
( totalorderedP(sF2(X1))
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(forward_demodulation,[],[f213,f233]) ).
fof(f213,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssItem(X1)
| totalorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause113) ).
fof(f1318,plain,
( spl5_110
| ~ spl5_111 ),
inference(avatar_split_clause,[],[f242,f1315,f1311]) ).
fof(f242,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| nil != X0
| nil = app(X0,nil) ),
inference(equality_resolution,[],[f145]) ).
fof(f145,axiom,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil != X1
| nil != X0
| nil = app(X0,X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause145) ).
fof(f1082,plain,
( ~ spl5_1
| ~ spl5_40
| spl5_52 ),
inference(avatar_split_clause,[],[f797,f581,f473,f249]) ).
fof(f249,plain,
( spl5_1
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl5_1])]) ).
fof(f473,plain,
( spl5_40
<=> nil = skaf42(sk3,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_40])]) ).
fof(f581,plain,
( spl5_52
<=> sk3 = skaf42(sk3,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_52])]) ).
fof(f797,plain,
( nil != sk3
| ~ spl5_40
| spl5_52 ),
inference(superposition,[],[f582,f475]) ).
fof(f475,plain,
( nil = skaf42(sk3,sk7)
| ~ spl5_40 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f582,plain,
( sk3 != skaf42(sk3,sk7)
| spl5_52 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f1081,plain,
( ~ spl5_3
| ~ spl5_1
| ~ spl5_109
| ~ spl5_49
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f1080,f831,f545,f1076,f249,f262]) ).
fof(f545,plain,
( spl5_49
<=> sk3 = cons(sk7,skaf43(sk7,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_49])]) ).
fof(f1080,plain,
( ~ ssList(tl(sk3))
| nil != sk3
| ~ ssItem(sk7)
| ~ spl5_49
| ~ spl5_70 ),
inference(forward_demodulation,[],[f814,f833]) ).
fof(f814,plain,
( nil != sk3
| ~ ssList(skaf43(sk7,sk3))
| ~ ssItem(sk7)
| ~ spl5_49 ),
inference(superposition,[],[f98,f547]) ).
fof(f547,plain,
( sk3 = cons(sk7,skaf43(sk7,sk3))
| ~ spl5_49 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause98) ).
fof(f1079,plain,
( ~ spl5_3
| ~ spl5_109
| ~ spl5_1
| ~ spl5_49
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f938,f831,f545,f249,f1076,f262]) ).
fof(f938,plain,
( nil != sk3
| ~ ssList(tl(sk3))
| ~ ssItem(sk7)
| ~ spl5_49
| ~ spl5_70 ),
inference(superposition,[],[f98,f910]) ).
fof(f910,plain,
( sk3 = cons(sk7,tl(sk3))
| ~ spl5_49
| ~ spl5_70 ),
inference(backward_demodulation,[],[f547,f833]) ).
fof(f1074,plain,
( ~ spl5_5
| spl5_108
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f980,f545,f496,f473,f1072,f269]) ).
fof(f1072,plain,
( spl5_108
<=> ! [X39] :
( memberP(sF4(X39,sk3),X39)
| ~ ssItem(X39) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_108])]) ).
fof(f496,plain,
( spl5_45
<=> ! [X6] :
( app(cons(X6,skaf42(sk3,sk7)),cons(sk7,skaf43(sk7,sk3))) = cons(X6,sk3)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_45])]) ).
fof(f980,plain,
( ! [X39] :
( memberP(sF4(X39,sk3),X39)
| ~ ssList(sk3)
| ~ ssItem(X39) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f979]) ).
fof(f979,plain,
( ! [X39] :
( memberP(sF4(X39,sk3),X39)
| ~ ssList(sk3)
| ~ ssItem(X39)
| ~ ssItem(X39) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f241,f766]) ).
fof(f766,plain,
( ! [X6] :
( cons(X6,sk3) = sF4(X6,sk3)
| ~ ssItem(X6) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(forward_demodulation,[],[f765,f235]) ).
fof(f765,plain,
( ! [X6] :
( cons(X6,sk3) = app(sF2(X6),sk3)
| ~ ssItem(X6) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(forward_demodulation,[],[f762,f233]) ).
fof(f762,plain,
( ! [X6] :
( cons(X6,sk3) = app(cons(X6,nil),sk3)
| ~ ssItem(X6) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(backward_demodulation,[],[f743,f475]) ).
fof(f743,plain,
( ! [X6] :
( cons(X6,sk3) = app(cons(X6,skaf42(sk3,sk7)),sk3)
| ~ ssItem(X6) )
| ~ spl5_45
| ~ spl5_49 ),
inference(backward_demodulation,[],[f497,f547]) ).
fof(f497,plain,
( ! [X6] :
( app(cons(X6,skaf42(sk3,sk7)),cons(sk7,skaf43(sk7,sk3))) = cons(X6,sk3)
| ~ ssItem(X6) )
| ~ spl5_45 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f1070,plain,
( ~ spl5_5
| spl5_107
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f981,f545,f496,f473,f1068,f269]) ).
fof(f1068,plain,
( spl5_107
<=> ! [X38,X36,X37] :
( ~ ssList(app(X37,cons(X38,sF4(X36,sk3))))
| X36 = X38
| ~ ssList(X37)
| ~ equalelemsP(app(X37,cons(X38,sF4(X36,sk3))))
| ~ ssItem(X38)
| ~ ssItem(X36) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_107])]) ).
fof(f981,plain,
( ! [X38,X36,X37] :
( ~ ssList(app(X37,cons(X38,sF4(X36,sk3))))
| ~ ssItem(X36)
| ~ ssItem(X38)
| ~ equalelemsP(app(X37,cons(X38,sF4(X36,sk3))))
| ~ ssList(X37)
| ~ ssList(sk3)
| X36 = X38 )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f978]) ).
fof(f978,plain,
( ! [X38,X36,X37] :
( ~ ssList(app(X37,cons(X38,sF4(X36,sk3))))
| ~ ssItem(X36)
| ~ ssItem(X38)
| ~ equalelemsP(app(X37,cons(X38,sF4(X36,sk3))))
| ~ ssList(X37)
| ~ ssList(sk3)
| X36 = X38
| ~ ssItem(X36) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f224,f766]) ).
fof(f1066,plain,
( ~ spl5_5
| spl5_106
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f982,f545,f496,f473,f1064,f269]) ).
fof(f1064,plain,
( spl5_106
<=> ! [X34,X35,X33] :
( ~ ssList(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssList(X35)
| ~ ssList(X34)
| ~ duplicatefreeP(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssItem(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_106])]) ).
fof(f982,plain,
( ! [X34,X35,X33] :
( ~ ssList(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssItem(X33)
| ~ duplicatefreeP(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssList(X34)
| ~ ssList(X35)
| ~ ssList(sk3) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f977,plain,
( ! [X34,X35,X33] :
( ~ ssList(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssItem(X33)
| ~ duplicatefreeP(app(app(X34,cons(X33,X35)),sF4(X33,sk3)))
| ~ ssList(X34)
| ~ ssList(X35)
| ~ ssList(sk3)
| ~ ssItem(X33) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f222,f766]) ).
fof(f1062,plain,
( ~ spl5_5
| spl5_105
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f983,f545,f496,f473,f1060,f269]) ).
fof(f1060,plain,
( spl5_105
<=> ! [X32,X30,X31] :
( ~ ssList(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssList(X32)
| ~ ssList(X31)
| ~ duplicatefreeP(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssItem(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_105])]) ).
fof(f983,plain,
( ! [X31,X32,X30] :
( ~ ssList(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssItem(X30)
| ~ duplicatefreeP(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssList(X31)
| ~ ssList(sk3)
| ~ ssList(X32) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f976]) ).
fof(f976,plain,
( ! [X31,X32,X30] :
( ~ ssList(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssItem(X30)
| ~ duplicatefreeP(app(app(X31,sF4(X30,sk3)),cons(X30,X32)))
| ~ ssList(X31)
| ~ ssList(sk3)
| ~ ssList(X32)
| ~ ssItem(X30) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f222,f766]) ).
fof(f1058,plain,
( ~ spl5_5
| spl5_104
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f984,f545,f496,f473,f1056,f269]) ).
fof(f1056,plain,
( spl5_104
<=> ! [X29,X28] :
( ~ ssList(app(X29,sF4(X28,sk3)))
| memberP(app(X29,sF4(X28,sk3)),X28)
| ~ ssList(X29)
| ~ ssItem(X28) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_104])]) ).
fof(f984,plain,
( ! [X28,X29] :
( ~ ssList(app(X29,sF4(X28,sk3)))
| ~ ssItem(X28)
| ~ ssList(X29)
| ~ ssList(sk3)
| memberP(app(X29,sF4(X28,sk3)),X28) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f975]) ).
fof(f975,plain,
( ! [X28,X29] :
( ~ ssList(app(X29,sF4(X28,sk3)))
| ~ ssItem(X28)
| ~ ssList(X29)
| ~ ssList(sk3)
| memberP(app(X29,sF4(X28,sk3)),X28)
| ~ ssItem(X28) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f220,f766]) ).
fof(f1054,plain,
( ~ spl5_5
| spl5_103
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f985,f545,f496,f473,f1052,f269]) ).
fof(f1052,plain,
( spl5_103
<=> ! [X25,X27,X26] :
( ~ frontsegP(cons(X26,X27),sF4(X25,sk3))
| ~ ssItem(X26)
| X25 = X26
| ~ ssList(X27)
| ~ ssItem(X25) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_103])]) ).
fof(f985,plain,
( ! [X26,X27,X25] :
( ~ frontsegP(cons(X26,X27),sF4(X25,sk3))
| ~ ssItem(X25)
| ~ ssList(X27)
| ~ ssList(sk3)
| X25 = X26
| ~ ssItem(X26) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f974]) ).
fof(f974,plain,
( ! [X26,X27,X25] :
( ~ frontsegP(cons(X26,X27),sF4(X25,sk3))
| ~ ssItem(X25)
| ~ ssList(X27)
| ~ ssList(sk3)
| X25 = X26
| ~ ssItem(X26)
| ~ ssItem(X25) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f176,f766]) ).
fof(f1050,plain,
( ~ spl5_5
| spl5_102
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f986,f545,f496,f473,f1048,f269]) ).
fof(f1048,plain,
( spl5_102
<=> ! [X22,X24,X23] :
( ~ frontsegP(sF4(X22,sk3),cons(X23,X24))
| ~ ssItem(X22)
| X22 = X23
| ~ ssList(X24)
| ~ ssItem(X23) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_102])]) ).
fof(f986,plain,
( ! [X24,X22,X23] :
( ~ frontsegP(sF4(X22,sk3),cons(X23,X24))
| ~ ssItem(X23)
| ~ ssList(sk3)
| ~ ssList(X24)
| X22 = X23
| ~ ssItem(X22) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f973]) ).
fof(f973,plain,
( ! [X24,X22,X23] :
( ~ frontsegP(sF4(X22,sk3),cons(X23,X24))
| ~ ssItem(X23)
| ~ ssList(sk3)
| ~ ssList(X24)
| X22 = X23
| ~ ssItem(X22)
| ~ ssItem(X22) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f176,f766]) ).
fof(f1046,plain,
( ~ spl5_5
| spl5_101
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f987,f545,f496,f473,f1043,f269]) ).
fof(f1043,plain,
( spl5_101
<=> ! [X18,X16,X17] :
( sF4(X16,sk3) != cons(X17,X18)
| ~ ssItem(X17)
| sk3 = X18
| ~ ssList(X18)
| ~ ssItem(X16) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_101])]) ).
fof(f987,plain,
( ! [X21,X19,X20] :
( sF4(X19,sk3) != cons(X20,X21)
| ~ ssItem(X20)
| ~ ssList(X21)
| ~ ssList(sk3)
| sk3 = X21
| ~ ssItem(X19) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f972]) ).
fof(f972,plain,
( ! [X21,X19,X20] :
( sF4(X19,sk3) != cons(X20,X21)
| ~ ssItem(X20)
| ~ ssList(X21)
| ~ ssList(sk3)
| sk3 = X21
| ~ ssItem(X19)
| ~ ssItem(X19) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f171,f766]) ).
fof(f1045,plain,
( ~ spl5_5
| spl5_101
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f988,f545,f496,f473,f1043,f269]) ).
fof(f988,plain,
( ! [X18,X16,X17] :
( sF4(X16,sk3) != cons(X17,X18)
| ~ ssItem(X16)
| ~ ssList(sk3)
| ~ ssList(X18)
| sk3 = X18
| ~ ssItem(X17) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f971]) ).
fof(f971,plain,
( ! [X18,X16,X17] :
( sF4(X16,sk3) != cons(X17,X18)
| ~ ssItem(X16)
| ~ ssList(sk3)
| ~ ssList(X18)
| sk3 = X18
| ~ ssItem(X17)
| ~ ssItem(X16) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f171,f766]) ).
fof(f1041,plain,
( ~ spl5_5
| spl5_100
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f989,f545,f496,f473,f1039,f269]) ).
fof(f1039,plain,
( spl5_100
<=> ! [X13,X14,X15] :
( sF4(X13,sk3) != cons(X14,X15)
| ~ ssItem(X13)
| X13 = X14
| ~ ssList(X15)
| ~ ssItem(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_100])]) ).
fof(f989,plain,
( ! [X14,X15,X13] :
( sF4(X13,sk3) != cons(X14,X15)
| ~ ssItem(X14)
| ~ ssList(X15)
| ~ ssList(sk3)
| X13 = X14
| ~ ssItem(X13) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f970]) ).
fof(f970,plain,
( ! [X14,X15,X13] :
( sF4(X13,sk3) != cons(X14,X15)
| ~ ssItem(X14)
| ~ ssList(X15)
| ~ ssList(sk3)
| X13 = X14
| ~ ssItem(X13)
| ~ ssItem(X13) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f170,f766]) ).
fof(f1037,plain,
( ~ spl5_5
| spl5_99
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f990,f545,f496,f473,f1035,f269]) ).
fof(f1035,plain,
( spl5_99
<=> ! [X11,X12,X10] :
( cons(X11,X12) != sF4(X10,sk3)
| ~ ssItem(X11)
| X10 = X11
| ~ ssList(X12)
| ~ ssItem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_99])]) ).
fof(f990,plain,
( ! [X10,X11,X12] :
( cons(X11,X12) != sF4(X10,sk3)
| ~ ssItem(X10)
| ~ ssList(sk3)
| ~ ssList(X12)
| X10 = X11
| ~ ssItem(X11) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f969]) ).
fof(f969,plain,
( ! [X10,X11,X12] :
( cons(X11,X12) != sF4(X10,sk3)
| ~ ssItem(X10)
| ~ ssList(sk3)
| ~ ssList(X12)
| X10 = X11
| ~ ssItem(X11)
| ~ ssItem(X10) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f170,f766]) ).
fof(f1033,plain,
( ~ spl5_5
| spl5_98
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f991,f545,f496,f473,f1031,f269]) ).
fof(f1031,plain,
( spl5_98
<=> ! [X9,X8] :
( ~ memberP(sF4(X8,sk3),X9)
| ~ ssItem(X8)
| memberP(sk3,X9)
| X8 = X9
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_98])]) ).
fof(f991,plain,
( ! [X8,X9] :
( ~ memberP(sF4(X8,sk3),X9)
| ~ ssItem(X9)
| ~ ssList(sk3)
| X8 = X9
| memberP(sk3,X9)
| ~ ssItem(X8) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f968]) ).
fof(f968,plain,
( ! [X8,X9] :
( ~ memberP(sF4(X8,sk3),X9)
| ~ ssItem(X9)
| ~ ssList(sk3)
| X8 = X9
| memberP(sk3,X9)
| ~ ssItem(X8)
| ~ ssItem(X8) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f161,f766]) ).
fof(f1029,plain,
( ~ spl5_78
| spl5_1
| ~ spl5_5
| spl5_97
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1025,f836,f545,f496,f473,f1027,f269,f249,f868]) ).
fof(f1027,plain,
( spl5_97
<=> ! [X7] :
( ~ leq(X7,sk7)
| ~ ssItem(X7)
| totalorderedP(sF4(X7,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_97])]) ).
fof(f836,plain,
( spl5_71
<=> sk7 = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_71])]) ).
fof(f1025,plain,
( ! [X7] :
( ~ leq(X7,sk7)
| totalorderedP(sF4(X7,sk3))
| ~ ssItem(X7)
| ~ ssList(sk3)
| nil = sk3
| ~ totalorderedP(sk3) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49
| ~ spl5_71 ),
inference(forward_demodulation,[],[f992,f838]) ).
fof(f838,plain,
( sk7 = hd(sk3)
| ~ spl5_71 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f992,plain,
( ! [X7] :
( totalorderedP(sF4(X7,sk3))
| ~ ssItem(X7)
| ~ ssList(sk3)
| nil = sk3
| ~ leq(X7,hd(sk3))
| ~ totalorderedP(sk3) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f967]) ).
fof(f967,plain,
( ! [X7] :
( totalorderedP(sF4(X7,sk3))
| ~ ssItem(X7)
| ~ ssList(sk3)
| nil = sk3
| ~ leq(X7,hd(sk3))
| ~ totalorderedP(sk3)
| ~ ssItem(X7) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f159,f766]) ).
fof(f159,axiom,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ leq(X0,hd(X1))
| ~ totalorderedP(X1) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause159) ).
fof(f1024,plain,
( spl5_1
| ~ spl5_5
| spl5_96
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f1020,f836,f545,f496,f473,f1022,f269,f249]) ).
fof(f1022,plain,
( spl5_96
<=> ! [X6] :
( lt(X6,sk7)
| ~ ssItem(X6)
| ~ strictorderedP(sF4(X6,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_96])]) ).
fof(f1020,plain,
( ! [X6] :
( lt(X6,sk7)
| ~ strictorderedP(sF4(X6,sk3))
| ~ ssList(sk3)
| nil = sk3
| ~ ssItem(X6) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49
| ~ spl5_71 ),
inference(forward_demodulation,[],[f993,f838]) ).
fof(f993,plain,
( ! [X6] :
( ~ strictorderedP(sF4(X6,sk3))
| ~ ssList(sk3)
| nil = sk3
| ~ ssItem(X6)
| lt(X6,hd(sk3)) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f966]) ).
fof(f966,plain,
( ! [X6] :
( ~ strictorderedP(sF4(X6,sk3))
| ~ ssList(sk3)
| nil = sk3
| ~ ssItem(X6)
| lt(X6,hd(sk3))
| ~ ssItem(X6) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f134,f766]) ).
fof(f134,axiom,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause134) ).
fof(f1019,plain,
( ~ spl5_5
| spl5_95
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f994,f545,f496,f473,f1017,f269]) ).
fof(f1017,plain,
( spl5_95
<=> ! [X5] :
( sk3 != sF4(X5,sk3)
| ~ ssItem(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_95])]) ).
fof(f994,plain,
( ! [X5] :
( sk3 != sF4(X5,sk3)
| ~ ssList(sk3)
| ~ ssItem(X5) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f965]) ).
fof(f965,plain,
( ! [X5] :
( sk3 != sF4(X5,sk3)
| ~ ssList(sk3)
| ~ ssItem(X5)
| ~ ssItem(X5) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f99,f766]) ).
fof(f1015,plain,
( ~ spl5_5
| spl5_94
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f995,f545,f496,f473,f1013,f269]) ).
fof(f1013,plain,
( spl5_94
<=> ! [X4] :
( nil != sF4(X4,sk3)
| ~ ssItem(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_94])]) ).
fof(f995,plain,
( ! [X4] :
( nil != sF4(X4,sk3)
| ~ ssList(sk3)
| ~ ssItem(X4) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f964]) ).
fof(f964,plain,
( ! [X4] :
( nil != sF4(X4,sk3)
| ~ ssList(sk3)
| ~ ssItem(X4)
| ~ ssItem(X4) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f98,f766]) ).
fof(f1011,plain,
( ~ spl5_5
| spl5_93
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f996,f545,f496,f473,f1009,f269]) ).
fof(f1009,plain,
( spl5_93
<=> ! [X3] :
( hd(sF4(X3,sk3)) = X3
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_93])]) ).
fof(f996,plain,
( ! [X3] :
( hd(sF4(X3,sk3)) = X3
| ~ ssList(sk3)
| ~ ssItem(X3) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f963]) ).
fof(f963,plain,
( ! [X3] :
( hd(sF4(X3,sk3)) = X3
| ~ ssList(sk3)
| ~ ssItem(X3)
| ~ ssItem(X3) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f97,f766]) ).
fof(f1007,plain,
( ~ spl5_5
| spl5_92
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f997,f545,f496,f473,f1005,f269]) ).
fof(f1005,plain,
( spl5_92
<=> ! [X2] :
( sk3 = tl(sF4(X2,sk3))
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_92])]) ).
fof(f997,plain,
( ! [X2] :
( sk3 = tl(sF4(X2,sk3))
| ~ ssList(sk3)
| ~ ssItem(X2) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f962]) ).
fof(f962,plain,
( ! [X2] :
( sk3 = tl(sF4(X2,sk3))
| ~ ssList(sk3)
| ~ ssItem(X2)
| ~ ssItem(X2) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f96,f766]) ).
fof(f1003,plain,
( ~ spl5_5
| spl5_91
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f998,f545,f496,f473,f1001,f269]) ).
fof(f1001,plain,
( spl5_91
<=> ! [X1] :
( ssList(sF4(X1,sk3))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_91])]) ).
fof(f998,plain,
( ! [X1] :
( ssList(sF4(X1,sk3))
| ~ ssList(sk3)
| ~ ssItem(X1) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
( ! [X1] :
( ssList(sF4(X1,sk3))
| ~ ssList(sk3)
| ~ ssItem(X1)
| ~ ssItem(X1) )
| ~ spl5_40
| ~ spl5_45
| ~ spl5_49 ),
inference(superposition,[],[f86,f766]) ).
fof(f959,plain,
( ~ spl5_3
| ~ spl5_5
| ~ spl5_90
| ~ spl5_49
| ~ spl5_70 ),
inference(avatar_split_clause,[],[f954,f831,f545,f956,f269,f262]) ).
fof(f956,plain,
( spl5_90
<=> sk3 = tl(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_90])]) ).
fof(f954,plain,
( sk3 != tl(sk3)
| ~ ssList(sk3)
| ~ ssItem(sk7)
| ~ spl5_49
| ~ spl5_70 ),
inference(inner_rewriting,[],[f939]) ).
fof(f939,plain,
( sk3 != tl(sk3)
| ~ ssList(tl(sk3))
| ~ ssItem(sk7)
| ~ spl5_49
| ~ spl5_70 ),
inference(superposition,[],[f99,f910]) ).
fof(f935,plain,
( spl5_1
| ~ spl5_5
| spl5_89
| ~ spl5_71 ),
inference(avatar_split_clause,[],[f928,f836,f933,f269,f249]) ).
fof(f933,plain,
( spl5_89
<=> ! [X1] :
( leq(X1,sk7)
| ~ ssItem(X1)
| ~ totalorderedP(cons(X1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_89])]) ).
fof(f928,plain,
( ! [X1] :
( leq(X1,sk7)
| ~ ssList(sk3)
| nil = sk3
| ~ totalorderedP(cons(X1,sk3))
| ~ ssItem(X1) )
| ~ spl5_71 ),
inference(superposition,[],[f135,f838]) ).
fof(f135,axiom,
! [X0,X1] :
( leq(X0,hd(X1))
| ~ ssList(X1)
| nil = X1
| ~ totalorderedP(cons(X0,X1))
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause135) ).
fof(f921,plain,
( spl5_88
| ~ spl5_5
| spl5_75 ),
inference(avatar_split_clause,[],[f912,f855,f269,f918]) ).
fof(f918,plain,
( spl5_88
<=> sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_88])]) ).
fof(f855,plain,
( spl5_75
<=> strictorderedP(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_75])]) ).
fof(f912,plain,
( ~ ssList(sk3)
| sk3 = app(app(skaf71(sk3),cons(skaf69(sk3),skaf72(sk3))),cons(skaf70(sk3),skaf73(sk3)))
| spl5_75 ),
inference(resolution,[],[f857,f163]) ).
fof(f163,axiom,
! [X0] :
( strictorderedP(X0)
| ~ ssList(X0)
| app(app(skaf71(X0),cons(skaf69(X0),skaf72(X0))),cons(skaf70(X0),skaf73(X0))) = X0 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause163) ).
fof(f857,plain,
( ~ strictorderedP(sk3)
| spl5_75 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f916,plain,
( spl5_1
| spl5_87
| ~ spl5_5
| spl5_75 ),
inference(avatar_split_clause,[],[f911,f855,f269,f914,f249]) ).
fof(f914,plain,
( spl5_87
<=> ! [X0] :
( ~ ssItem(X0)
| ~ strictorderedP(cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_87])]) ).
fof(f911,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssItem(X0)
| nil = sk3
| ~ strictorderedP(cons(X0,sk3)) )
| spl5_75 ),
inference(resolution,[],[f857,f124]) ).
fof(f124,axiom,
! [X0,X1] :
( strictorderedP(X1)
| ~ ssList(X1)
| ~ ssItem(X0)
| nil = X1
| ~ strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause124) ).
fof(f905,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_86
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f828,f545,f903,f262,f457]) ).
fof(f457,plain,
( spl5_36
<=> ssList(skaf43(sk7,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_36])]) ).
fof(f903,plain,
( spl5_86
<=> ! [X18,X19] :
( ~ ssList(app(X18,cons(X19,sk3)))
| sk7 = X19
| ~ ssList(X18)
| ~ equalelemsP(app(X18,cons(X19,sk3)))
| ~ ssItem(X19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_86])]) ).
fof(f828,plain,
( ! [X18,X19] :
( ~ ssList(app(X18,cons(X19,sk3)))
| ~ ssItem(sk7)
| ~ ssItem(X19)
| ~ equalelemsP(app(X18,cons(X19,sk3)))
| ~ ssList(X18)
| ~ ssList(skaf43(sk7,sk3))
| sk7 = X19 )
| ~ spl5_49 ),
inference(superposition,[],[f224,f547]) ).
fof(f901,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_85
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f827,f545,f899,f262,f457]) ).
fof(f899,plain,
( spl5_85
<=> ! [X16,X17] :
( ~ ssList(app(app(X16,cons(sk7,X17)),sk3))
| ~ ssList(X17)
| ~ ssList(X16)
| ~ duplicatefreeP(app(app(X16,cons(sk7,X17)),sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_85])]) ).
fof(f827,plain,
( ! [X16,X17] :
( ~ ssList(app(app(X16,cons(sk7,X17)),sk3))
| ~ ssItem(sk7)
| ~ duplicatefreeP(app(app(X16,cons(sk7,X17)),sk3))
| ~ ssList(X16)
| ~ ssList(X17)
| ~ ssList(skaf43(sk7,sk3)) )
| ~ spl5_49 ),
inference(superposition,[],[f222,f547]) ).
fof(f897,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_84
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f826,f545,f895,f262,f457]) ).
fof(f895,plain,
( spl5_84
<=> ! [X14,X15] :
( ~ ssList(app(app(X14,sk3),cons(sk7,X15)))
| ~ ssList(X15)
| ~ ssList(X14)
| ~ duplicatefreeP(app(app(X14,sk3),cons(sk7,X15))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_84])]) ).
fof(f826,plain,
( ! [X14,X15] :
( ~ ssList(app(app(X14,sk3),cons(sk7,X15)))
| ~ ssItem(sk7)
| ~ duplicatefreeP(app(app(X14,sk3),cons(sk7,X15)))
| ~ ssList(X14)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssList(X15) )
| ~ spl5_49 ),
inference(superposition,[],[f222,f547]) ).
fof(f893,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_83
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f824,f545,f891,f262,f457]) ).
fof(f891,plain,
( spl5_83
<=> ! [X11,X12] :
( ~ frontsegP(cons(X11,X12),sk3)
| ~ ssItem(X11)
| sk7 = X11
| ~ ssList(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_83])]) ).
fof(f824,plain,
( ! [X11,X12] :
( ~ frontsegP(cons(X11,X12),sk3)
| ~ ssItem(sk7)
| ~ ssList(X12)
| ~ ssList(skaf43(sk7,sk3))
| sk7 = X11
| ~ ssItem(X11) )
| ~ spl5_49 ),
inference(superposition,[],[f176,f547]) ).
fof(f889,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_82
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f823,f545,f887,f457,f262]) ).
fof(f887,plain,
( spl5_82
<=> ! [X9,X10] :
( ~ frontsegP(sk3,cons(X9,X10))
| sk7 = X9
| ~ ssList(X10)
| ~ ssItem(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_82])]) ).
fof(f823,plain,
( ! [X10,X9] :
( ~ frontsegP(sk3,cons(X9,X10))
| ~ ssItem(X9)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssList(X10)
| sk7 = X9
| ~ ssItem(sk7) )
| ~ spl5_49 ),
inference(superposition,[],[f176,f547]) ).
fof(f885,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_81
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f822,f545,f882,f457,f262]) ).
fof(f882,plain,
( spl5_81
<=> ! [X6,X5] :
( sk3 != cons(X5,X6)
| ~ ssItem(X5)
| skaf43(sk7,sk3) = X6
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_81])]) ).
fof(f822,plain,
( ! [X8,X7] :
( sk3 != cons(X7,X8)
| ~ ssItem(X7)
| ~ ssList(X8)
| ~ ssList(skaf43(sk7,sk3))
| skaf43(sk7,sk3) = X8
| ~ ssItem(sk7) )
| ~ spl5_49 ),
inference(superposition,[],[f171,f547]) ).
fof(f884,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_81
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f821,f545,f882,f262,f457]) ).
fof(f821,plain,
( ! [X6,X5] :
( sk3 != cons(X5,X6)
| ~ ssItem(sk7)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssList(X6)
| skaf43(sk7,sk3) = X6
| ~ ssItem(X5) )
| ~ spl5_49 ),
inference(superposition,[],[f171,f547]) ).
fof(f880,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_80
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f820,f545,f877,f457,f262]) ).
fof(f877,plain,
( spl5_80
<=> ! [X2,X1] :
( cons(X1,X2) != sk3
| ~ ssItem(X1)
| sk7 = X1
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_80])]) ).
fof(f820,plain,
( ! [X3,X4] :
( cons(X3,X4) != sk3
| ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(skaf43(sk7,sk3))
| sk7 = X3
| ~ ssItem(sk7) )
| ~ spl5_49 ),
inference(superposition,[],[f170,f547]) ).
fof(f879,plain,
( ~ spl5_36
| ~ spl5_3
| spl5_80
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f819,f545,f877,f262,f457]) ).
fof(f819,plain,
( ! [X2,X1] :
( cons(X1,X2) != sk3
| ~ ssItem(sk7)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssList(X2)
| sk7 = X1
| ~ ssItem(X1) )
| ~ spl5_49 ),
inference(superposition,[],[f170,f547]) ).
fof(f875,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_79
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f818,f545,f873,f457,f262]) ).
fof(f873,plain,
( spl5_79
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(skaf43(sk7,sk3),X0)
| sk7 = X0
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_79])]) ).
fof(f818,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(skaf43(sk7,sk3))
| sk7 = X0
| memberP(skaf43(sk7,sk3),X0)
| ~ ssItem(sk7) )
| ~ spl5_49 ),
inference(superposition,[],[f161,f547]) ).
fof(f871,plain,
( ~ spl5_76
| ~ spl5_77
| spl5_74
| ~ spl5_36
| ~ spl5_3
| spl5_78
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f817,f545,f868,f262,f457,f851,f864,f860]) ).
fof(f860,plain,
( spl5_76
<=> totalorderedP(skaf43(sk7,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_76])]) ).
fof(f851,plain,
( spl5_74
<=> nil = skaf43(sk7,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_74])]) ).
fof(f817,plain,
( totalorderedP(sk3)
| ~ ssItem(sk7)
| ~ ssList(skaf43(sk7,sk3))
| nil = skaf43(sk7,sk3)
| ~ leq(sk7,hd(skaf43(sk7,sk3)))
| ~ totalorderedP(skaf43(sk7,sk3))
| ~ spl5_49 ),
inference(superposition,[],[f159,f547]) ).
fof(f858,plain,
( spl5_73
| ~ spl5_3
| spl5_74
| ~ spl5_36
| ~ spl5_75
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f816,f545,f855,f457,f851,f262,f847]) ).
fof(f847,plain,
( spl5_73
<=> lt(sk7,hd(skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_73])]) ).
fof(f816,plain,
( ~ strictorderedP(sk3)
| ~ ssList(skaf43(sk7,sk3))
| nil = skaf43(sk7,sk3)
| ~ ssItem(sk7)
| lt(sk7,hd(skaf43(sk7,sk3)))
| ~ spl5_49 ),
inference(superposition,[],[f134,f547]) ).
fof(f845,plain,
( ~ spl5_3
| ~ spl5_5
| ~ spl5_72
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f840,f545,f842,f269,f262]) ).
fof(f842,plain,
( spl5_72
<=> sk3 = skaf43(sk7,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_72])]) ).
fof(f840,plain,
( sk3 != skaf43(sk7,sk3)
| ~ ssList(sk3)
| ~ ssItem(sk7)
| ~ spl5_49 ),
inference(inner_rewriting,[],[f815]) ).
fof(f815,plain,
( sk3 != skaf43(sk7,sk3)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssItem(sk7)
| ~ spl5_49 ),
inference(superposition,[],[f99,f547]) ).
fof(f839,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_71
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f813,f545,f836,f457,f262]) ).
fof(f813,plain,
( sk7 = hd(sk3)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssItem(sk7)
| ~ spl5_49 ),
inference(superposition,[],[f97,f547]) ).
fof(f834,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_70
| ~ spl5_49 ),
inference(avatar_split_clause,[],[f812,f545,f831,f457,f262]) ).
fof(f812,plain,
( skaf43(sk7,sk3) = tl(sk3)
| ~ ssList(skaf43(sk7,sk3))
| ~ ssItem(sk7)
| ~ spl5_49 ),
inference(superposition,[],[f96,f547]) ).
fof(f802,plain,
( ~ spl5_5
| ~ spl5_49
| spl5_58 ),
inference(avatar_split_clause,[],[f800,f652,f545,f269]) ).
fof(f652,plain,
( spl5_58
<=> rearsegP(cons(sk7,skaf43(sk7,sk3)),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_58])]) ).
fof(f800,plain,
( ~ ssList(sk3)
| ~ spl5_49
| spl5_58 ),
inference(resolution,[],[f747,f59]) ).
fof(f59,axiom,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause59) ).
fof(f747,plain,
( ~ rearsegP(sk3,sk3)
| ~ spl5_49
| spl5_58 ),
inference(backward_demodulation,[],[f654,f547]) ).
fof(f654,plain,
( ~ rearsegP(cons(sk7,skaf43(sk7,sk3)),sk3)
| spl5_58 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f801,plain,
( ~ spl5_46
| ~ spl5_49
| spl5_58 ),
inference(avatar_contradiction_clause,[],[f799]) ).
fof(f799,plain,
( $false
| ~ spl5_46
| ~ spl5_49
| spl5_58 ),
inference(resolution,[],[f747,f744]) ).
fof(f744,plain,
( rearsegP(sk3,sk3)
| ~ spl5_46
| ~ spl5_49 ),
inference(backward_demodulation,[],[f502,f547]) ).
fof(f502,plain,
( rearsegP(sk3,cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_46 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl5_46
<=> rearsegP(sk3,cons(sk7,skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_46])]) ).
fof(f737,plain,
( ~ spl5_37
| spl5_40
| spl5_69
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f714,f477,f733,f473,f461]) ).
fof(f461,plain,
( spl5_37
<=> ssList(skaf42(sk3,sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_37])]) ).
fof(f733,plain,
( spl5_69
<=> ssItem(hd(sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_69])]) ).
fof(f477,plain,
( spl5_41
<=> hd(skaf42(sk3,sk7)) = hd(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_41])]) ).
fof(f714,plain,
( ssItem(hd(sk3))
| nil = skaf42(sk3,sk7)
| ~ ssList(skaf42(sk3,sk7))
| ~ spl5_41 ),
inference(superposition,[],[f78,f479]) ).
fof(f479,plain,
( hd(skaf42(sk3,sk7)) = hd(sk3)
| ~ spl5_41 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f78,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause78) ).
fof(f736,plain,
( ~ spl5_37
| spl5_40
| spl5_69
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f713,f477,f733,f473,f461]) ).
fof(f713,plain,
( ssItem(hd(sk3))
| nil = skaf42(sk3,sk7)
| ~ ssList(skaf42(sk3,sk7))
| ~ spl5_41 ),
inference(superposition,[],[f76,f479]) ).
fof(f76,axiom,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause76) ).
fof(f731,plain,
( ~ spl5_37
| spl5_40
| spl5_68
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f712,f477,f728,f473,f461]) ).
fof(f728,plain,
( spl5_68
<=> skaf42(sk3,sk7) = cons(hd(sk3),tl(skaf42(sk3,sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_68])]) ).
fof(f712,plain,
( skaf42(sk3,sk7) = cons(hd(sk3),tl(skaf42(sk3,sk7)))
| nil = skaf42(sk3,sk7)
| ~ ssList(skaf42(sk3,sk7))
| ~ spl5_41 ),
inference(superposition,[],[f104,f479]) ).
fof(f104,axiom,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause104) ).
fof(f726,plain,
( spl5_40
| ~ spl5_37
| spl5_67
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f711,f477,f724,f461,f473]) ).
fof(f724,plain,
( spl5_67
<=> ! [X1] :
( leq(X1,hd(sk3))
| ~ ssItem(X1)
| ~ totalorderedP(cons(X1,skaf42(sk3,sk7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_67])]) ).
fof(f711,plain,
( ! [X1] :
( leq(X1,hd(sk3))
| ~ ssList(skaf42(sk3,sk7))
| nil = skaf42(sk3,sk7)
| ~ totalorderedP(cons(X1,skaf42(sk3,sk7)))
| ~ ssItem(X1) )
| ~ spl5_41 ),
inference(superposition,[],[f135,f479]) ).
fof(f722,plain,
( ~ spl5_65
| spl5_40
| ~ spl5_37
| spl5_66
| ~ spl5_41 ),
inference(avatar_split_clause,[],[f710,f477,f720,f461,f473,f716]) ).
fof(f716,plain,
( spl5_65
<=> strictorderedP(skaf42(sk3,sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_65])]) ).
fof(f720,plain,
( spl5_66
<=> ! [X0] :
( ~ lt(X0,hd(sk3))
| strictorderedP(cons(X0,skaf42(sk3,sk7)))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_66])]) ).
fof(f710,plain,
( ! [X0] :
( ~ lt(X0,hd(sk3))
| ~ ssItem(X0)
| ~ ssList(skaf42(sk3,sk7))
| nil = skaf42(sk3,sk7)
| ~ strictorderedP(skaf42(sk3,sk7))
| strictorderedP(cons(X0,skaf42(sk3,sk7))) )
| ~ spl5_41 ),
inference(superposition,[],[f160,f479]) ).
fof(f160,axiom,
! [X0,X1] :
( ~ lt(X0,hd(X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| nil = X1
| ~ strictorderedP(X1)
| strictorderedP(cons(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause160) ).
fof(f689,plain,
( ~ spl5_5
| spl5_64
| ~ spl5_52
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f670,f590,f581,f687,f269]) ).
fof(f687,plain,
( spl5_64
<=> ! [X7] :
( ~ ssList(X7)
| app(sk3,X7) = app(sk3,skaf45(app(sk3,X7),sk3))
| ~ ssList(app(sk3,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_64])]) ).
fof(f590,plain,
( spl5_54
<=> ! [X2] :
( ~ ssList(X2)
| frontsegP(app(sk3,X2),skaf42(sk3,sk7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_54])]) ).
fof(f670,plain,
( ! [X7] :
( ~ ssList(X7)
| ~ ssList(app(sk3,X7))
| ~ ssList(sk3)
| app(sk3,X7) = app(sk3,skaf45(app(sk3,X7),sk3)) )
| ~ spl5_52
| ~ spl5_54 ),
inference(resolution,[],[f613,f132]) ).
fof(f613,plain,
( ! [X2] :
( frontsegP(app(sk3,X2),sk3)
| ~ ssList(X2) )
| ~ spl5_52
| ~ spl5_54 ),
inference(backward_demodulation,[],[f591,f583]) ).
fof(f583,plain,
( sk3 = skaf42(sk3,sk7)
| ~ spl5_52 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f591,plain,
( ! [X2] :
( ~ ssList(X2)
| frontsegP(app(sk3,X2),skaf42(sk3,sk7)) )
| ~ spl5_54 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f685,plain,
( ~ spl5_5
| spl5_63
| ~ spl5_52
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f669,f590,f581,f683,f269]) ).
fof(f683,plain,
( spl5_63
<=> ! [X6,X5] :
( ~ ssList(X5)
| frontsegP(app(app(sk3,X5),X6),sk3)
| ~ ssList(X6)
| ~ ssList(app(sk3,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_63])]) ).
fof(f669,plain,
( ! [X6,X5] :
( ~ ssList(X5)
| ~ ssList(app(sk3,X5))
| ~ ssList(sk3)
| ~ ssList(X6)
| frontsegP(app(app(sk3,X5),X6),sk3) )
| ~ spl5_52
| ~ spl5_54 ),
inference(resolution,[],[f613,f137]) ).
fof(f681,plain,
( ~ spl5_5
| spl5_62
| ~ spl5_52
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f668,f590,f581,f679,f269]) ).
fof(f679,plain,
( spl5_62
<=> ! [X4] :
( ~ ssList(X4)
| sk3 = app(sk3,X4)
| ~ frontsegP(sk3,app(sk3,X4))
| ~ ssList(app(sk3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_62])]) ).
fof(f668,plain,
( ! [X4] :
( ~ ssList(X4)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X4))
| ~ frontsegP(sk3,app(sk3,X4))
| sk3 = app(sk3,X4) )
| ~ spl5_52
| ~ spl5_54 ),
inference(resolution,[],[f613,f129]) ).
fof(f129,axiom,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause129) ).
fof(f677,plain,
( ~ spl5_5
| spl5_61
| ~ spl5_52
| ~ spl5_54 ),
inference(avatar_split_clause,[],[f666,f590,f581,f675,f269]) ).
fof(f675,plain,
( spl5_61
<=> ! [X0,X1] :
( ~ ssList(X0)
| frontsegP(cons(X1,app(sk3,X0)),cons(X1,sk3))
| ~ ssItem(X1)
| ~ ssList(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_61])]) ).
fof(f666,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(sk3)
| ~ ssList(app(sk3,X0))
| ~ ssItem(X1)
| frontsegP(cons(X1,app(sk3,X0)),cons(X1,sk3)) )
| ~ spl5_52
| ~ spl5_54 ),
inference(resolution,[],[f613,f243]) ).
fof(f664,plain,
( spl5_60
| ~ spl5_39
| ~ spl5_5
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f646,f500,f269,f469,f661]) ).
fof(f661,plain,
( spl5_60
<=> sk3 = app(skaf46(sk3,cons(sk7,skaf43(sk7,sk3))),cons(sk7,skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_60])]) ).
fof(f469,plain,
( spl5_39
<=> ssList(cons(sk7,skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_39])]) ).
fof(f646,plain,
( ~ ssList(sk3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| sk3 = app(skaf46(sk3,cons(sk7,skaf43(sk7,sk3))),cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_46 ),
inference(resolution,[],[f502,f131]) ).
fof(f659,plain,
( spl5_59
| ~ spl5_39
| ~ spl5_5
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f645,f500,f269,f469,f657]) ).
fof(f657,plain,
( spl5_59
<=> ! [X1] :
( ~ ssList(X1)
| rearsegP(app(X1,sk3),cons(sk7,skaf43(sk7,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_59])]) ).
fof(f645,plain,
( ! [X1] :
( ~ ssList(sk3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(X1)
| rearsegP(app(X1,sk3),cons(sk7,skaf43(sk7,sk3))) )
| ~ spl5_46 ),
inference(resolution,[],[f502,f136]) ).
fof(f655,plain,
( spl5_49
| ~ spl5_58
| ~ spl5_5
| ~ spl5_39
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f644,f500,f469,f269,f652,f545]) ).
fof(f644,plain,
( ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(sk3)
| ~ rearsegP(cons(sk7,skaf43(sk7,sk3)),sk3)
| sk3 = cons(sk7,skaf43(sk7,sk3))
| ~ spl5_46 ),
inference(resolution,[],[f502,f128]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ rearsegP(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause128) ).
fof(f650,plain,
( spl5_57
| ~ spl5_39
| ~ spl5_5
| ~ spl5_46 ),
inference(avatar_split_clause,[],[f643,f500,f269,f469,f648]) ).
fof(f648,plain,
( spl5_57
<=> ! [X0] :
( ~ rearsegP(cons(sk7,skaf43(sk7,sk3)),X0)
| rearsegP(sk3,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_57])]) ).
fof(f643,plain,
( ! [X0] :
( ~ ssList(sk3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ rearsegP(cons(sk7,skaf43(sk7,sk3)),X0)
| ~ ssList(X0)
| rearsegP(sk3,X0) )
| ~ spl5_46 ),
inference(resolution,[],[f502,f153]) ).
fof(f602,plain,
( ~ spl5_5
| ~ spl5_37
| spl5_56
| spl5_53 ),
inference(avatar_split_clause,[],[f598,f585,f600,f461,f269]) ).
fof(f600,plain,
( spl5_56
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ frontsegP(cons(X1,skaf42(sk3,sk7)),cons(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_56])]) ).
fof(f585,plain,
( spl5_53
<=> frontsegP(skaf42(sk3,sk7),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_53])]) ).
fof(f598,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(sk3)
| ~ ssItem(X1)
| ~ frontsegP(cons(X1,skaf42(sk3,sk7)),cons(X0,sk3)) )
| spl5_53 ),
inference(resolution,[],[f587,f174]) ).
fof(f174,axiom,
! [X2,X3,X0,X1] :
( frontsegP(X1,X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),cons(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause174) ).
fof(f587,plain,
( ~ frontsegP(skaf42(sk3,sk7),sk3)
| spl5_53 ),
inference(avatar_component_clause,[],[f585]) ).
fof(f597,plain,
( spl5_55
| ~ spl5_37
| ~ spl5_5
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f571,f505,f269,f461,f594]) ).
fof(f594,plain,
( spl5_55
<=> sk3 = app(skaf42(sk3,sk7),skaf45(sk3,skaf42(sk3,sk7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_55])]) ).
fof(f505,plain,
( spl5_47
<=> frontsegP(sk3,skaf42(sk3,sk7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_47])]) ).
fof(f571,plain,
( ~ ssList(sk3)
| ~ ssList(skaf42(sk3,sk7))
| sk3 = app(skaf42(sk3,sk7),skaf45(sk3,skaf42(sk3,sk7)))
| ~ spl5_47 ),
inference(resolution,[],[f507,f132]) ).
fof(f507,plain,
( frontsegP(sk3,skaf42(sk3,sk7))
| ~ spl5_47 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f592,plain,
( spl5_54
| ~ spl5_37
| ~ spl5_5
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f570,f505,f269,f461,f590]) ).
fof(f570,plain,
( ! [X2] :
( ~ ssList(sk3)
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(X2)
| frontsegP(app(sk3,X2),skaf42(sk3,sk7)) )
| ~ spl5_47 ),
inference(resolution,[],[f507,f137]) ).
fof(f588,plain,
( spl5_52
| ~ spl5_53
| ~ spl5_5
| ~ spl5_37
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f569,f505,f461,f269,f585,f581]) ).
fof(f569,plain,
( ~ ssList(skaf42(sk3,sk7))
| ~ ssList(sk3)
| ~ frontsegP(skaf42(sk3,sk7),sk3)
| sk3 = skaf42(sk3,sk7)
| ~ spl5_47 ),
inference(resolution,[],[f507,f129]) ).
fof(f579,plain,
( spl5_51
| ~ spl5_37
| ~ spl5_5
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f568,f505,f269,f461,f577]) ).
fof(f577,plain,
( spl5_51
<=> ! [X1] :
( ~ frontsegP(skaf42(sk3,sk7),X1)
| frontsegP(sk3,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_51])]) ).
fof(f568,plain,
( ! [X1] :
( ~ ssList(sk3)
| ~ ssList(skaf42(sk3,sk7))
| ~ frontsegP(skaf42(sk3,sk7),X1)
| ~ ssList(X1)
| frontsegP(sk3,X1) )
| ~ spl5_47 ),
inference(resolution,[],[f507,f154]) ).
fof(f575,plain,
( spl5_50
| ~ spl5_5
| ~ spl5_37
| ~ spl5_47 ),
inference(avatar_split_clause,[],[f567,f505,f461,f269,f573]) ).
fof(f573,plain,
( spl5_50
<=> ! [X0] :
( ~ ssItem(X0)
| frontsegP(cons(X0,sk3),cons(X0,skaf42(sk3,sk7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_50])]) ).
fof(f567,plain,
( ! [X0] :
( ~ ssList(skaf42(sk3,sk7))
| ~ ssList(sk3)
| ~ ssItem(X0)
| frontsegP(cons(X0,sk3),cons(X0,skaf42(sk3,sk7))) )
| ~ spl5_47 ),
inference(resolution,[],[f507,f243]) ).
fof(f549,plain,
( ~ spl5_39
| spl5_49
| ~ spl5_8
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f528,f473,f282,f545,f469]) ).
fof(f282,plain,
( spl5_8
<=> sk3 = app(skaf42(sk3,sk7),cons(sk7,skaf43(sk7,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_8])]) ).
fof(f528,plain,
( sk3 = cons(sk7,skaf43(sk7,sk3))
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8
| ~ spl5_40 ),
inference(superposition,[],[f74,f524]) ).
fof(f524,plain,
( sk3 = app(nil,cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8
| ~ spl5_40 ),
inference(backward_demodulation,[],[f284,f475]) ).
fof(f284,plain,
( sk3 = app(skaf42(sk3,sk7),cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f74,axiom,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause74) ).
fof(f548,plain,
( ~ spl5_39
| spl5_49
| ~ spl5_8
| ~ spl5_40 ),
inference(avatar_split_clause,[],[f527,f473,f282,f545,f469]) ).
fof(f527,plain,
( sk3 = cons(sk7,skaf43(sk7,sk3))
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8
| ~ spl5_40 ),
inference(superposition,[],[f524,f74]) ).
fof(f518,plain,
( ~ spl5_3
| ~ spl5_36
| spl5_39 ),
inference(avatar_split_clause,[],[f517,f469,f457,f262]) ).
fof(f517,plain,
( ~ ssList(skaf43(sk7,sk3))
| ~ ssItem(sk7)
| spl5_39 ),
inference(resolution,[],[f471,f86]) ).
fof(f471,plain,
( ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| spl5_39 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f516,plain,
spl5_36,
inference(avatar_contradiction_clause,[],[f515]) ).
fof(f515,plain,
( $false
| spl5_36 ),
inference(resolution,[],[f459,f52]) ).
fof(f459,plain,
( ~ ssList(skaf43(sk7,sk3))
| spl5_36 ),
inference(avatar_component_clause,[],[f457]) ).
fof(f514,plain,
spl5_37,
inference(avatar_contradiction_clause,[],[f513]) ).
fof(f513,plain,
( $false
| spl5_37 ),
inference(resolution,[],[f463,f53]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause53) ).
fof(f463,plain,
( ~ ssList(skaf42(sk3,sk7))
| spl5_37 ),
inference(avatar_component_clause,[],[f461]) ).
fof(f512,plain,
( ~ spl5_37
| ~ spl5_39
| spl5_48
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f455,f282,f510,f469,f461]) ).
fof(f510,plain,
( spl5_48
<=> ! [X7] :
( ~ ssList(app(sk3,X7))
| segmentP(app(sk3,X7),cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_48])]) ).
fof(f455,plain,
( ! [X7] :
( ~ ssList(app(sk3,X7))
| ~ ssList(X7)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(skaf42(sk3,sk7))
| segmentP(app(sk3,X7),cons(sk7,skaf43(sk7,sk3))) )
| ~ spl5_8 ),
inference(superposition,[],[f221,f284]) ).
fof(f508,plain,
( spl5_47
| ~ spl5_37
| ~ spl5_39
| ~ spl5_5
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f454,f282,f269,f469,f461,f505]) ).
fof(f454,plain,
( ~ ssList(sk3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(skaf42(sk3,sk7))
| frontsegP(sk3,skaf42(sk3,sk7))
| ~ spl5_8 ),
inference(superposition,[],[f217,f284]) ).
fof(f503,plain,
( spl5_46
| ~ spl5_39
| ~ spl5_37
| ~ spl5_5
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f453,f282,f269,f461,f469,f500]) ).
fof(f453,plain,
( ~ ssList(sk3)
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| rearsegP(sk3,cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8 ),
inference(superposition,[],[f216,f284]) ).
fof(f498,plain,
( ~ spl5_37
| ~ spl5_39
| spl5_45
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f452,f282,f496,f469,f461]) ).
fof(f452,plain,
( ! [X6] :
( app(cons(X6,skaf42(sk3,sk7)),cons(sk7,skaf43(sk7,sk3))) = cons(X6,sk3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(skaf42(sk3,sk7))
| ~ ssItem(X6) )
| ~ spl5_8 ),
inference(superposition,[],[f157,f284]) ).
fof(f494,plain,
( ~ spl5_39
| ~ spl5_37
| spl5_44
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f451,f282,f491,f461,f469]) ).
fof(f491,plain,
( spl5_44
<=> ! [X4] :
( sk3 != app(X4,cons(sk7,skaf43(sk7,sk3)))
| skaf42(sk3,sk7) = X4
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_44])]) ).
fof(f451,plain,
( ! [X5] :
( sk3 != app(X5,cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| skaf42(sk3,sk7) = X5
| ~ ssList(X5) )
| ~ spl5_8 ),
inference(superposition,[],[f151,f284]) ).
fof(f493,plain,
( ~ spl5_37
| ~ spl5_39
| spl5_44
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f450,f282,f491,f469,f461]) ).
fof(f450,plain,
( ! [X4] :
( sk3 != app(X4,cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(X4)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| skaf42(sk3,sk7) = X4
| ~ ssList(skaf42(sk3,sk7)) )
| ~ spl5_8 ),
inference(superposition,[],[f151,f284]) ).
fof(f489,plain,
( ~ spl5_37
| ~ spl5_39
| spl5_43
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f449,f282,f486,f469,f461]) ).
fof(f486,plain,
( spl5_43
<=> ! [X2] :
( sk3 != app(skaf42(sk3,sk7),X2)
| cons(sk7,skaf43(sk7,sk3)) = X2
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_43])]) ).
fof(f449,plain,
( ! [X3] :
( sk3 != app(skaf42(sk3,sk7),X3)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(skaf42(sk3,sk7))
| cons(sk7,skaf43(sk7,sk3)) = X3
| ~ ssList(X3) )
| ~ spl5_8 ),
inference(superposition,[],[f150,f284]) ).
fof(f488,plain,
( ~ spl5_39
| ~ spl5_37
| spl5_43
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f448,f282,f486,f461,f469]) ).
fof(f448,plain,
( ! [X2] :
( sk3 != app(skaf42(sk3,sk7),X2)
| ~ ssList(X2)
| ~ ssList(skaf42(sk3,sk7))
| cons(sk7,skaf43(sk7,sk3)) = X2
| ~ ssList(cons(sk7,skaf43(sk7,sk3))) )
| ~ spl5_8 ),
inference(superposition,[],[f150,f284]) ).
fof(f484,plain,
( ~ spl5_39
| ~ spl5_37
| spl5_42
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f447,f282,f482,f461,f469]) ).
fof(f482,plain,
( spl5_42
<=> ! [X1] :
( app(sk3,X1) = app(skaf42(sk3,sk7),app(cons(sk7,skaf43(sk7,sk3)),X1))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_42])]) ).
fof(f447,plain,
( ! [X1] :
( app(sk3,X1) = app(skaf42(sk3,sk7),app(cons(sk7,skaf43(sk7,sk3)),X1))
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ ssList(X1) )
| ~ spl5_8 ),
inference(superposition,[],[f149,f284]) ).
fof(f480,plain,
( ~ spl5_39
| spl5_40
| ~ spl5_37
| spl5_41
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f446,f282,f477,f461,f473,f469]) ).
fof(f446,plain,
( hd(skaf42(sk3,sk7)) = hd(sk3)
| ~ ssList(skaf42(sk3,sk7))
| nil = skaf42(sk3,sk7)
| ~ ssList(cons(sk7,skaf43(sk7,sk3)))
| ~ spl5_8 ),
inference(superposition,[],[f123,f284]) ).
fof(f123,axiom,
! [X0,X1] :
( hd(app(X1,X0)) = hd(X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause123) ).
fof(f467,plain,
( ~ spl5_36
| ~ spl5_37
| ~ spl5_3
| spl5_38
| ~ spl5_8 ),
inference(avatar_split_clause,[],[f441,f282,f465,f262,f461,f457]) ).
fof(f465,plain,
( spl5_38
<=> ! [X0] :
( ~ ssList(app(sk3,cons(sk7,X0)))
| ~ ssList(X0)
| ~ duplicatefreeP(app(sk3,cons(sk7,X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_38])]) ).
fof(f441,plain,
( ! [X0] :
( ~ ssList(app(sk3,cons(sk7,X0)))
| ~ ssItem(sk7)
| ~ duplicatefreeP(app(sk3,cons(sk7,X0)))
| ~ ssList(skaf42(sk3,sk7))
| ~ ssList(skaf43(sk7,sk3))
| ~ ssList(X0) )
| ~ spl5_8 ),
inference(superposition,[],[f222,f284]) ).
fof(f440,plain,
( ~ spl5_9
| spl5_35
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f421,f295,f438,f291]) ).
fof(f438,plain,
( spl5_35
<=> ! [X3] :
( ~ memberP(tl(app(X3,sF1)),sk7)
| nil = X3
| ~ ssList(X3)
| memberP(tl(X3),sk7)
| ~ ssList(tl(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_35])]) ).
fof(f295,plain,
( spl5_10
<=> ! [X0] :
( ~ ssList(X0)
| ~ memberP(app(X0,sF1),sk7)
| memberP(X0,sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_10])]) ).
fof(f421,plain,
( ! [X3] :
( ~ memberP(tl(app(X3,sF1)),sk7)
| ~ ssList(tl(X3))
| memberP(tl(X3),sk7)
| ~ ssList(X3)
| nil = X3
| ~ ssList(sF1) )
| ~ spl5_10 ),
inference(superposition,[],[f296,f133]) ).
fof(f133,axiom,
! [X0,X1] :
( tl(app(X1,X0)) = app(tl(X1),X0)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause133) ).
fof(f296,plain,
( ! [X0] :
( ~ memberP(app(X0,sF1),sk7)
| ~ ssList(X0)
| memberP(X0,sk7) )
| ~ spl5_10 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f436,plain,
( ~ spl5_9
| spl5_34
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f420,f295,f434,f291]) ).
fof(f434,plain,
( spl5_34
<=> ! [X2,X1] :
( ~ memberP(app(X1,app(X2,sF1)),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| memberP(app(X1,X2),sk7)
| ~ ssList(app(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_34])]) ).
fof(f420,plain,
( ! [X2,X1] :
( ~ memberP(app(X1,app(X2,sF1)),sk7)
| ~ ssList(app(X1,X2))
| memberP(app(X1,X2),sk7)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(sF1) )
| ~ spl5_10 ),
inference(superposition,[],[f296,f149]) ).
fof(f432,plain,
( ~ spl5_9
| spl5_33
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f428,f295,f430,f291]) ).
fof(f430,plain,
( spl5_33
<=> ! [X0] :
( memberP(sF2(X0),sk7)
| ~ ssItem(X0)
| ~ memberP(cons(X0,sF1),sk7)
| ~ ssList(sF2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_33])]) ).
fof(f428,plain,
( ! [X0] :
( memberP(sF2(X0),sk7)
| ~ ssList(sF2(X0))
| ~ memberP(cons(X0,sF1),sk7)
| ~ ssList(sF1)
| ~ ssItem(X0) )
| ~ spl5_10 ),
inference(forward_demodulation,[],[f427,f233]) ).
fof(f427,plain,
( ! [X0] :
( ~ ssList(sF2(X0))
| ~ memberP(cons(X0,sF1),sk7)
| memberP(cons(X0,nil),sk7)
| ~ ssList(sF1)
| ~ ssItem(X0) )
| ~ spl5_10 ),
inference(forward_demodulation,[],[f419,f233]) ).
fof(f419,plain,
( ! [X0] :
( ~ memberP(cons(X0,sF1),sk7)
| ~ ssList(cons(X0,nil))
| memberP(cons(X0,nil),sk7)
| ~ ssList(sF1)
| ~ ssItem(X0) )
| ~ spl5_10 ),
inference(superposition,[],[f296,f120]) ).
fof(f120,axiom,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',clause120) ).
fof(f426,plain,
( ~ spl5_3
| spl5_32
| ~ spl5_10 ),
inference(avatar_split_clause,[],[f417,f295,f424,f262]) ).
fof(f424,plain,
( spl5_32
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,sF1))
| ~ ssList(X1)
| ~ memberP(app(X1,app(X0,sF1)),sk7)
| memberP(X1,sk7)
| memberP(X0,sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_32])]) ).
fof(f417,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| memberP(X0,sk7)
| ~ ssList(X1)
| ~ ssList(app(X0,sF1))
| ~ ssItem(sk7)
| memberP(X1,sk7)
| ~ memberP(app(X1,app(X0,sF1)),sk7) )
| ~ spl5_10 ),
inference(resolution,[],[f296,f158]) ).
fof(f415,plain,
( ~ spl5_3
| spl5_31
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f398,f278,f413,f262]) ).
fof(f413,plain,
( spl5_31
<=> ! [X7] :
( ~ ssItem(X7)
| cons(X7,sk3) = app(skaf42(cons(X7,sk3),sk7),cons(sk7,skaf43(sk7,cons(X7,sk3))))
| ~ ssList(cons(X7,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_31])]) ).
fof(f278,plain,
( spl5_7
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(cons(X2,sk3),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_7])]) ).
fof(f398,plain,
( ! [X7] :
( ~ ssItem(X7)
| ~ ssList(cons(X7,sk3))
| ~ ssItem(sk7)
| cons(X7,sk3) = app(skaf42(cons(X7,sk3),sk7),cons(sk7,skaf43(sk7,cons(X7,sk3)))) )
| ~ spl5_7 ),
inference(resolution,[],[f279,f169]) ).
fof(f279,plain,
( ! [X2] :
( memberP(cons(X2,sk3),sk7)
| ~ ssItem(X2) )
| ~ spl5_7 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f411,plain,
( ~ spl5_3
| spl5_30
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f397,f278,f409,f262]) ).
fof(f409,plain,
( spl5_30
<=> ! [X6,X5] :
( ~ ssItem(X5)
| ~ ssList(cons(X5,sk3))
| ~ ssItem(X6)
| memberP(cons(X6,cons(X5,sk3)),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_30])]) ).
fof(f397,plain,
( ! [X6,X5] :
( ~ ssItem(X5)
| ~ ssItem(X6)
| ~ ssList(cons(X5,sk3))
| ~ ssItem(sk7)
| memberP(cons(X6,cons(X5,sk3)),sk7) )
| ~ spl5_7 ),
inference(resolution,[],[f279,f139]) ).
fof(f407,plain,
( ~ spl5_3
| spl5_29
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f396,f278,f405,f262]) ).
fof(f405,plain,
( spl5_29
<=> ! [X4,X3] :
( ~ ssItem(X3)
| memberP(app(cons(X3,sk3),X4),sk7)
| ~ ssList(cons(X3,sk3))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_29])]) ).
fof(f396,plain,
( ! [X3,X4] :
( ~ ssItem(X3)
| ~ ssList(X4)
| ~ ssList(cons(X3,sk3))
| ~ ssItem(sk7)
| memberP(app(cons(X3,sk3),X4),sk7) )
| ~ spl5_7 ),
inference(resolution,[],[f279,f140]) ).
fof(f403,plain,
( ~ spl5_3
| spl5_28
| ~ spl5_7 ),
inference(avatar_split_clause,[],[f395,f278,f401,f262]) ).
fof(f401,plain,
( spl5_28
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| memberP(app(X2,cons(X1,sk3)),sk7)
| ~ ssList(cons(X1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_28])]) ).
fof(f395,plain,
( ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(cons(X1,sk3))
| ~ ssList(X2)
| ~ ssItem(sk7)
| memberP(app(X2,cons(X1,sk3)),sk7) )
| ~ spl5_7 ),
inference(resolution,[],[f279,f141]) ).
fof(f393,plain,
( spl5_27
| ~ spl5_3
| ~ spl5_24
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f372,f341,f377,f262,f390]) ).
fof(f390,plain,
( spl5_27
<=> sF0 = app(skaf42(sF0,sk7),cons(sk7,skaf43(sk7,sF0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_27])]) ).
fof(f341,plain,
( spl5_18
<=> memberP(sF0,sk7) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_18])]) ).
fof(f372,plain,
( ~ ssList(sF0)
| ~ ssItem(sk7)
| sF0 = app(skaf42(sF0,sk7),cons(sk7,skaf43(sk7,sF0)))
| ~ spl5_18 ),
inference(resolution,[],[f343,f169]) ).
fof(f343,plain,
( memberP(sF0,sk7)
| ~ spl5_18 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f388,plain,
( ~ spl5_3
| ~ spl5_24
| spl5_26
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f371,f341,f386,f377,f262]) ).
fof(f386,plain,
( spl5_26
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(cons(X2,sF0),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_26])]) ).
fof(f371,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ ssList(sF0)
| ~ ssItem(sk7)
| memberP(cons(X2,sF0),sk7) )
| ~ spl5_18 ),
inference(resolution,[],[f343,f139]) ).
fof(f384,plain,
( ~ spl5_3
| ~ spl5_24
| spl5_25
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f370,f341,f382,f377,f262]) ).
fof(f370,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssList(sF0)
| ~ ssItem(sk7)
| memberP(app(sF0,X1),sk7) )
| ~ spl5_18 ),
inference(resolution,[],[f343,f140]) ).
fof(f380,plain,
( ~ spl5_3
| spl5_23
| ~ spl5_24
| ~ spl5_18 ),
inference(avatar_split_clause,[],[f369,f341,f377,f374,f262]) ).
fof(f369,plain,
( ! [X0] :
( ~ ssList(sF0)
| ~ ssList(X0)
| ~ ssItem(sk7)
| memberP(app(X0,sF0),sk7) )
| ~ spl5_18 ),
inference(resolution,[],[f343,f141]) ).
fof(f368,plain,
( ~ spl5_3
| spl5_22
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f350,f274,f366,f262]) ).
fof(f366,plain,
( spl5_22
<=> ! [X6] :
( ~ ssList(X6)
| app(sk3,X6) = app(skaf42(app(sk3,X6),sk7),cons(sk7,skaf43(sk7,app(sk3,X6))))
| ~ ssList(app(sk3,X6)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_22])]) ).
fof(f274,plain,
( spl5_6
<=> ! [X1] :
( ~ ssList(X1)
| memberP(app(sk3,X1),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_6])]) ).
fof(f350,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(sk3,X6))
| ~ ssItem(sk7)
| app(sk3,X6) = app(skaf42(app(sk3,X6),sk7),cons(sk7,skaf43(sk7,app(sk3,X6)))) )
| ~ spl5_6 ),
inference(resolution,[],[f275,f169]) ).
fof(f275,plain,
( ! [X1] :
( memberP(app(sk3,X1),sk7)
| ~ ssList(X1) )
| ~ spl5_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f364,plain,
( ~ spl5_3
| spl5_21
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f349,f274,f362,f262]) ).
fof(f362,plain,
( spl5_21
<=> ! [X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(sk3,X4))
| ~ ssItem(X5)
| memberP(cons(X5,app(sk3,X4)),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_21])]) ).
fof(f349,plain,
( ! [X4,X5] :
( ~ ssList(X4)
| ~ ssItem(X5)
| ~ ssList(app(sk3,X4))
| ~ ssItem(sk7)
| memberP(cons(X5,app(sk3,X4)),sk7) )
| ~ spl5_6 ),
inference(resolution,[],[f275,f139]) ).
fof(f360,plain,
( ~ spl5_3
| spl5_20
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f348,f274,f358,f262]) ).
fof(f358,plain,
( spl5_20
<=> ! [X2,X3] :
( ~ ssList(X2)
| memberP(app(app(sk3,X2),X3),sk7)
| ~ ssList(app(sk3,X2))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_20])]) ).
fof(f348,plain,
( ! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(sk3,X2))
| ~ ssItem(sk7)
| memberP(app(app(sk3,X2),X3),sk7) )
| ~ spl5_6 ),
inference(resolution,[],[f275,f140]) ).
fof(f356,plain,
( ~ spl5_3
| spl5_19
| ~ spl5_6 ),
inference(avatar_split_clause,[],[f347,f274,f354,f262]) ).
fof(f354,plain,
( spl5_19
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| memberP(app(X1,app(sk3,X0)),sk7)
| ~ ssList(app(sk3,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_19])]) ).
fof(f347,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(sk3,X0))
| ~ ssList(X1)
| ~ ssItem(sk7)
| memberP(app(X1,app(sk3,X0)),sk7) )
| ~ spl5_6 ),
inference(resolution,[],[f275,f141]) ).
fof(f346,plain,
spl5_17,
inference(avatar_contradiction_clause,[],[f345]) ).
fof(f345,plain,
( $false
| spl5_17 ),
inference(resolution,[],[f339,f192]) ).
fof(f192,axiom,
ssList(sk5),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_7) ).
fof(f339,plain,
( ~ ssList(sk5)
| spl5_17 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f344,plain,
( ~ spl5_17
| spl5_18
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f310,f266,f341,f337]) ).
fof(f266,plain,
( spl5_4
<=> ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sk3),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_4])]) ).
fof(f310,plain,
( memberP(sF0,sk7)
| ~ ssList(sk5)
| ~ spl5_4 ),
inference(superposition,[],[f267,f230]) ).
fof(f267,plain,
( ! [X0] :
( memberP(app(X0,sk3),sk7)
| ~ ssList(X0) )
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f335,plain,
( ~ spl5_5
| spl5_16
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f309,f266,f333,f269]) ).
fof(f333,plain,
( spl5_16
<=> ! [X3] :
( memberP(tl(app(X3,sk3)),sk7)
| nil = X3
| ~ ssList(X3)
| ~ ssList(tl(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_16])]) ).
fof(f309,plain,
( ! [X3] :
( memberP(tl(app(X3,sk3)),sk7)
| ~ ssList(tl(X3))
| ~ ssList(X3)
| nil = X3
| ~ ssList(sk3) )
| ~ spl5_4 ),
inference(superposition,[],[f267,f133]) ).
fof(f331,plain,
( ~ spl5_5
| spl5_15
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f308,f266,f329,f269]) ).
fof(f329,plain,
( spl5_15
<=> ! [X2,X1] :
( memberP(app(X1,app(X2,sk3)),sk7)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_15])]) ).
fof(f308,plain,
( ! [X2,X1] :
( memberP(app(X1,app(X2,sk3)),sk7)
| ~ ssList(app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(sk3) )
| ~ spl5_4 ),
inference(superposition,[],[f267,f149]) ).
fof(f327,plain,
( ~ spl5_3
| spl5_14
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f305,f266,f325,f262]) ).
fof(f325,plain,
( spl5_14
<=> ! [X6] :
( ~ ssList(X6)
| app(X6,sk3) = app(skaf42(app(X6,sk3),sk7),cons(sk7,skaf43(sk7,app(X6,sk3))))
| ~ ssList(app(X6,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_14])]) ).
fof(f305,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(X6,sk3))
| ~ ssItem(sk7)
| app(X6,sk3) = app(skaf42(app(X6,sk3),sk7),cons(sk7,skaf43(sk7,app(X6,sk3)))) )
| ~ spl5_4 ),
inference(resolution,[],[f267,f169]) ).
fof(f323,plain,
( ~ spl5_3
| spl5_13
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f304,f266,f321,f262]) ).
fof(f321,plain,
( spl5_13
<=> ! [X4,X5] :
( ~ ssList(X4)
| ~ ssList(app(X4,sk3))
| ~ ssItem(X5)
| memberP(cons(X5,app(X4,sk3)),sk7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_13])]) ).
fof(f304,plain,
( ! [X4,X5] :
( ~ ssList(X4)
| ~ ssItem(X5)
| ~ ssList(app(X4,sk3))
| ~ ssItem(sk7)
| memberP(cons(X5,app(X4,sk3)),sk7) )
| ~ spl5_4 ),
inference(resolution,[],[f267,f139]) ).
fof(f319,plain,
( ~ spl5_3
| spl5_12
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f303,f266,f317,f262]) ).
fof(f317,plain,
( spl5_12
<=> ! [X2,X3] :
( ~ ssList(X2)
| memberP(app(app(X2,sk3),X3),sk7)
| ~ ssList(app(X2,sk3))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_12])]) ).
fof(f303,plain,
( ! [X2,X3] :
( ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(app(X2,sk3))
| ~ ssItem(sk7)
| memberP(app(app(X2,sk3),X3),sk7) )
| ~ spl5_4 ),
inference(resolution,[],[f267,f140]) ).
fof(f315,plain,
( ~ spl5_3
| spl5_11
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f302,f266,f313,f262]) ).
fof(f313,plain,
( spl5_11
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| memberP(app(X1,app(X0,sk3)),sk7)
| ~ ssList(app(X0,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl5_11])]) ).
fof(f302,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,sk3))
| ~ ssList(X1)
| ~ ssItem(sk7)
| memberP(app(X1,app(X0,sk3)),sk7) )
| ~ spl5_4 ),
inference(resolution,[],[f267,f141]) ).
fof(f301,plain,
spl5_9,
inference(avatar_contradiction_clause,[],[f300]) ).
fof(f300,plain,
( $false
| spl5_9 ),
inference(resolution,[],[f293,f245]) ).
fof(f245,plain,
ssList(sF1),
inference(backward_demodulation,[],[f203,f232]) ).
fof(f203,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_2) ).
fof(f293,plain,
( ~ ssList(sF1)
| spl5_9 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f299,plain,
spl5_5,
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| spl5_5 ),
inference(resolution,[],[f271,f202]) ).
fof(f271,plain,
( ~ ssList(sk3)
| spl5_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f297,plain,
( ~ spl5_3
| ~ spl5_9
| spl5_10 ),
inference(avatar_split_clause,[],[f289,f295,f291,f262]) ).
fof(f289,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssItem(sk7)
| memberP(X0,sk7)
| ~ memberP(app(X0,sF1),sk7) ),
inference(resolution,[],[f244,f158]) ).
fof(f288,plain,
spl5_3,
inference(avatar_contradiction_clause,[],[f286]) ).
fof(f286,plain,
( $false
| spl5_3 ),
inference(resolution,[],[f264,f198]) ).
fof(f198,axiom,
ssItem(sk7),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_13) ).
fof(f264,plain,
( ~ ssItem(sk7)
| spl5_3 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f285,plain,
( spl5_8
| ~ spl5_3
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f260,f269,f262,f282]) ).
fof(f260,plain,
( ~ ssList(sk3)
| ~ ssItem(sk7)
| sk3 = app(skaf42(sk3,sk7),cons(sk7,skaf43(sk7,sk3))) ),
inference(resolution,[],[f205,f169]) ).
fof(f280,plain,
( ~ spl5_3
| ~ spl5_5
| spl5_7 ),
inference(avatar_split_clause,[],[f259,f278,f269,f262]) ).
fof(f259,plain,
! [X2] :
( ~ ssItem(X2)
| ~ ssList(sk3)
| ~ ssItem(sk7)
| memberP(cons(X2,sk3),sk7) ),
inference(resolution,[],[f205,f139]) ).
fof(f276,plain,
( ~ spl5_3
| ~ spl5_5
| spl5_6 ),
inference(avatar_split_clause,[],[f258,f274,f269,f262]) ).
fof(f258,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(sk3)
| ~ ssItem(sk7)
| memberP(app(sk3,X1),sk7) ),
inference(resolution,[],[f205,f140]) ).
fof(f272,plain,
( ~ spl5_3
| spl5_4
| ~ spl5_5 ),
inference(avatar_split_clause,[],[f257,f269,f266,f262]) ).
fof(f257,plain,
! [X0] :
( ~ ssList(sk3)
| ~ ssList(X0)
| ~ ssItem(sk7)
| memberP(app(X0,sk3),sk7) ),
inference(resolution,[],[f205,f141]) ).
fof(f256,plain,
( ~ spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f247,f253,f249]) ).
fof(f247,plain,
( sk3 = sF1
| nil != sk3 ),
inference(inner_rewriting,[],[f246]) ).
fof(f246,plain,
( nil = sF1
| nil != sk3 ),
inference(forward_demodulation,[],[f201,f232]) ).
fof(f201,axiom,
( nil != sk3
| nil = sk4 ),
file('/export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304',co1_16) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWC399-1 : TPTP v8.1.2. Released v2.4.0.
% 0.05/0.10 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Aug 28 19:09:15 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.09/0.29 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.wP5y9UED55/Vampire---4.8_30304
% 0.09/0.29 % (30476)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (30488)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.15/0.33 % (30482)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.15/0.33 % (30480)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.15/0.33 % (30485)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.15/0.33 % (30478)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.15/0.34 % (30479)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.15/0.34 % (30486)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.15/0.36 % (30478)First to succeed.
% 0.15/0.36 % (30478)Refutation found. Thanks to Tanya!
% 0.15/0.36 % SZS status Unsatisfiable for Vampire---4
% 0.15/0.36 % SZS output start Proof for Vampire---4
% See solution above
% 0.15/0.37 % (30478)------------------------------
% 0.15/0.37 % (30478)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.15/0.37 % (30478)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.15/0.37 % (30478)Termination reason: Refutation
% 0.15/0.37
% 0.15/0.37 % (30478)Memory used [KB]: 6780
% 0.15/0.37 % (30478)Time elapsed: 0.031 s
% 0.15/0.37 % (30478)------------------------------
% 0.15/0.37 % (30478)------------------------------
% 0.15/0.37 % (30476)Success in time 0.07 s
% 0.15/0.37 % Vampire---4.8 exiting
%------------------------------------------------------------------------------