TSTP Solution File: SWC344+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWC344+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n020.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 : Wed Aug 31 18:40:36 EDT 2022
% Result : Theorem 1.98s 0.64s
% Output : Refutation 1.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 85
% Syntax : Number of formulae : 619 ( 11 unt; 0 def)
% Number of atoms : 4041 (1081 equ)
% Maximal formula atoms : 92 ( 6 avg)
% Number of connectives : 5727 (2305 ~;2857 |; 439 &)
% ( 70 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 76 ( 74 usr; 71 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 1018 ( 814 !; 204 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1554,plain,
$false,
inference(avatar_sat_refutation,[],[f796,f809,f817,f818,f822,f826,f830,f834,f838,f842,f846,f847,f861,f865,f869,f873,f877,f881,f885,f889,f893,f897,f898,f902,f903,f907,f911,f912,f921,f925,f929,f930,f934,f938,f939,f943,f944,f948,f952,f956,f960,f964,f965,f966,f970,f974,f975,f979,f980,f981,f982,f986,f987,f988,f989,f990,f994,f998,f1002,f1003,f1007,f1008,f1009,f1010,f1011,f1012,f1016,f1017,f1018,f1022,f1026,f1027,f1031,f1032,f1036,f1037,f1038,f1043,f1044,f1046,f1047,f1048,f1050,f1051,f1052,f1053,f1054,f1058,f1063,f1064,f1065,f1069,f1070,f1071,f1072,f1073,f1074,f1075,f1076,f1077,f1098,f1100,f1335,f1376,f1393,f1396,f1399,f1402,f1411,f1414,f1417,f1420,f1423,f1426,f1429,f1432,f1435,f1438,f1441,f1444,f1447,f1450,f1453,f1456,f1459,f1462,f1465,f1468,f1471,f1474,f1477,f1481,f1485,f1488,f1497,f1502,f1505,f1508,f1509,f1512,f1517,f1522,f1525,f1530,f1535,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1553]) ).
fof(f1553,plain,
( spl61_75
| ~ spl61_61
| ~ spl61_60
| spl61_73
| ~ spl61_48 ),
inference(avatar_split_clause,[],[f1552,f996,f1267,f1081,f1085,f1281]) ).
fof(f1281,plain,
( spl61_75
<=> sK9 = app(cons(sK14(sK9),nil),sK15(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_75])]) ).
fof(f1085,plain,
( spl61_61
<=> ssList(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_61])]) ).
fof(f1081,plain,
( spl61_60
<=> ssList(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_60])]) ).
fof(f1267,plain,
( spl61_73
<=> sK6 = app(cons(sK12(sK8),nil),sK13(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_73])]) ).
fof(f996,plain,
( spl61_48
<=> ! [X14,X15] :
( app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14)
| ~ ssList(X15)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_48])]) ).
fof(f1552,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK8)
| ~ ssList(sK9)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ spl61_48 ),
inference(trivial_inequality_removal,[],[f1551]) ).
fof(f1551,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| sK5 != sK5
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ~ spl61_48 ),
inference(superposition,[],[f997,f650]) ).
fof(f650,plain,
app(app(sK8,sK6),sK9) = sK5,
inference(definition_unfolding,[],[f496,f500]) ).
fof(f500,plain,
sK7 = sK5,
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ssList(sK4)
& ssList(sK6)
& sK7 = sK5
& strictorderedP(sK6)
& ssList(sK9)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( sK9 != app(cons(X6,nil),X7)
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(sK8,sK6),sK9) = sK7
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| sK8 != app(X11,cons(X10,nil))
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) )
& ssList(sK8)
& ( nil = sK7
| nil != sK6 )
& ssList(sK7)
& sK4 = sK6
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ( ssItem(sK10(X14))
& ssList(sK13(X14))
& app(cons(sK12(X14),nil),sK13(X14)) = sK4
& lt(sK10(X14),sK12(X14))
& ssItem(sK12(X14))
& app(sK11(X14),cons(sK10(X14),nil)) = X14
& ssList(sK11(X14)) )
| ( ssList(sK15(X15))
& lt(sK16(X15),sK14(X15))
& app(sK17(X15),cons(sK16(X15),nil)) = sK4
& ssList(sK17(X15))
& ssItem(sK16(X15))
& app(cons(sK14(X15),nil),sK15(X15)) = X15
& ssItem(sK14(X15)) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) )
& ssList(sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17])],[f245,f259,f258,f257,f256,f255,f254,f253,f252,f251,f250,f249,f248,f247,f246]) ).
fof(f246,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& X0 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,X0),X15) != X1
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = X0
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = X0
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(X0) ) )
| ( nil = X0
& nil != X1 ) ) ) )
& ssList(X1) ) )
=> ( ssList(sK4)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& sK4 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != X1
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != X1 ) ) ) )
& ssList(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f247,plain,
( ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& sK4 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != X1
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != X1 ) ) ) )
& ssList(X1) )
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& sK4 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) ) ) )
& ssList(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f248,plain,
( ? [X2] :
( ssList(X2)
& ? [X3] :
( sK5 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& sK4 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) ) ) )
=> ( ssList(sK6)
& ? [X3] :
( sK5 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,sK6),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != sK6 )
& ssList(X3)
& sK4 = sK6
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f249,plain,
( ? [X3] :
( sK5 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,sK6),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != sK6 )
& ssList(X3)
& sK4 = sK6
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) ) )
=> ( sK7 = sK5
& ? [X4] :
( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& sK7 = app(app(X4,sK6),X5)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = sK7
| nil != sK6 )
& ssList(sK7)
& sK4 = sK6
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,sK4),X15) != sK5
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(sK4) ) )
| ( nil = sK4
& nil != sK5 ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f250,plain,
( ? [X4] :
( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& sK7 = app(app(X4,sK6),X5)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
=> ( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& sK7 = app(app(sK8,sK6),X5)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| sK8 != app(X11,cons(X10,nil))
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(sK8) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X5] :
( strictorderedP(sK6)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& sK7 = app(app(sK8,sK6),X5)
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| sK8 != app(X11,cons(X10,nil))
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
=> ( strictorderedP(sK6)
& ssList(sK9)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( sK9 != app(cons(X6,nil),X7)
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(sK8,sK6),sK9) = sK7
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| sK8 != app(X11,cons(X10,nil))
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != sK6 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
! [X14] :
( ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
=> ( ssItem(sK10(X14))
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(sK10(X14),X18) )
& ssItem(X18) )
& app(X17,cons(sK10(X14),nil)) = X14
& ssList(X17) ) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
! [X14] :
( ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(sK10(X14),X18) )
& ssItem(X18) )
& app(X17,cons(sK10(X14),nil)) = X14
& ssList(X17) )
=> ( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(sK10(X14),X18) )
& ssItem(X18) )
& app(sK11(X14),cons(sK10(X14),nil)) = X14
& ssList(sK11(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X14] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = sK4
& lt(sK10(X14),X18) )
& ssItem(X18) )
=> ( ? [X19] :
( ssList(X19)
& app(cons(sK12(X14),nil),X19) = sK4
& lt(sK10(X14),sK12(X14)) )
& ssItem(sK12(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
! [X14] :
( ? [X19] :
( ssList(X19)
& app(cons(sK12(X14),nil),X19) = sK4
& lt(sK10(X14),sK12(X14)) )
=> ( ssList(sK13(X14))
& app(cons(sK12(X14),nil),sK13(X14)) = sK4
& lt(sK10(X14),sK12(X14)) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
! [X15] :
( ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
=> ( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,sK14(X15))
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(sK14(X15),nil),X21) = X15 )
& ssItem(sK14(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X15] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,sK14(X15))
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(sK14(X15),nil),X21) = X15 )
=> ( ssList(sK15(X15))
& ? [X22] :
( ? [X23] :
( lt(X22,sK14(X15))
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
& app(cons(sK14(X15),nil),sK15(X15)) = X15 ) ),
introduced(choice_axiom,[]) ).
fof(f258,plain,
! [X15] :
( ? [X22] :
( ? [X23] :
( lt(X22,sK14(X15))
& app(X23,cons(X22,nil)) = sK4
& ssList(X23) )
& ssItem(X22) )
=> ( ? [X23] :
( lt(sK16(X15),sK14(X15))
& sK4 = app(X23,cons(sK16(X15),nil))
& ssList(X23) )
& ssItem(sK16(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
! [X15] :
( ? [X23] :
( lt(sK16(X15),sK14(X15))
& sK4 = app(X23,cons(sK16(X15),nil))
& ssList(X23) )
=> ( lt(sK16(X15),sK14(X15))
& app(sK17(X15),cons(sK16(X15),nil)) = sK4
& ssList(sK17(X15)) ) ),
introduced(choice_axiom,[]) ).
fof(f245,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ? [X4] :
( ? [X5] :
( strictorderedP(X2)
& ssList(X5)
& ! [X6] :
( ~ ssItem(X6)
| ! [X7] :
( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ! [X9] :
( ~ lt(X8,X6)
| app(X9,cons(X8,nil)) != X2
| ~ ssList(X9) )
| ~ ssItem(X8) )
| ~ ssList(X7) ) )
& app(app(X4,X2),X5) = X3
& ! [X10] :
( ! [X11] :
( ~ ssList(X11)
| app(X11,cons(X10,nil)) != X4
| ! [X12] :
( ! [X13] :
( ~ lt(X10,X12)
| ~ ssList(X13)
| app(cons(X12,nil),X13) != X2 )
| ~ ssItem(X12) ) )
| ~ ssItem(X10) ) )
& ssList(X4) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& X0 = X2
& ( ! [X14] :
( ~ ssList(X14)
| ! [X15] :
( app(app(X14,X0),X15) != X1
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = X0
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| ? [X20] :
( ? [X21] :
( ssList(X21)
& ? [X22] :
( ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = X0
& ssList(X23) )
& ssItem(X22) )
& app(cons(X20,nil),X21) = X15 )
& ssItem(X20) )
| ~ ssList(X15)
| ~ strictorderedP(X0) ) )
| ( nil = X0
& nil != X1 ) ) ) )
& ssList(X1) ) ),
inference(rectify,[],[f117]) ).
fof(f117,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ? [X2] :
( ssList(X2)
& ? [X3] :
( X1 = X3
& ? [X14] :
( ? [X15] :
( strictorderedP(X2)
& ssList(X15)
& ! [X20] :
( ~ ssItem(X20)
| ! [X21] :
( app(cons(X20,nil),X21) != X15
| ! [X22] :
( ! [X23] :
( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X2
| ~ ssList(X23) )
| ~ ssItem(X22) )
| ~ ssList(X21) ) )
& app(app(X14,X2),X15) = X3
& ! [X16] :
( ! [X17] :
( ~ ssList(X17)
| app(X17,cons(X16,nil)) != X14
| ! [X18] :
( ! [X19] :
( ~ lt(X16,X18)
| ~ ssList(X19)
| app(cons(X18,nil),X19) != X2 )
| ~ ssItem(X18) ) )
| ~ ssItem(X16) ) )
& ssList(X14) )
& ( nil = X3
| nil != X2 )
& ssList(X3)
& X0 = X2
& ( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( app(app(X4,X0),X5) != X1
| ? [X10] :
( ssItem(X10)
& ? [X11] :
( ? [X12] :
( ? [X13] :
( ssList(X13)
& app(cons(X12,nil),X13) = X0
& lt(X10,X12) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) ) )
| ? [X6] :
( ? [X7] :
( ssList(X7)
& ? [X8] :
( ? [X9] :
( lt(X8,X6)
& app(X9,cons(X8,nil)) = X0
& ssList(X9) )
& ssItem(X8) )
& app(cons(X6,nil),X7) = X5 )
& ssItem(X6) )
| ~ ssList(X5)
| ~ strictorderedP(X0) ) )
| ( nil = X0
& nil != X1 ) ) ) )
& ssList(X1) ) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( nil = X3
| nil != X2 )
& ? [X14] :
( ? [X15] :
( ! [X20] :
( ~ ssItem(X20)
| ! [X21] :
( app(cons(X20,nil),X21) != X15
| ! [X22] :
( ! [X23] :
( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X2
| ~ ssList(X23) )
| ~ ssItem(X22) )
| ~ ssList(X21) ) )
& strictorderedP(X2)
& ! [X16] :
( ! [X17] :
( ~ ssList(X17)
| app(X17,cons(X16,nil)) != X14
| ! [X18] :
( ! [X19] :
( ~ lt(X16,X18)
| ~ ssList(X19)
| app(cons(X18,nil),X19) != X2 )
| ~ ssItem(X18) ) )
| ~ ssItem(X16) )
& app(app(X14,X2),X15) = X3
& ssList(X15) )
& ssList(X14) )
& X0 = X2
& X1 = X3
& ( ! [X4] :
( ~ ssList(X4)
| ! [X5] :
( ? [X6] :
( ? [X7] :
( app(cons(X6,nil),X7) = X5
& ? [X8] :
( ? [X9] :
( app(X9,cons(X8,nil)) = X0
& lt(X8,X6)
& ssList(X9) )
& ssItem(X8) )
& ssList(X7) )
& ssItem(X6) )
| ~ ssList(X5)
| app(app(X4,X0),X5) != X1
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ? [X13] :
( lt(X10,X12)
& app(cons(X12,nil),X13) = X0
& ssList(X13) )
& ssItem(X12) )
& app(X11,cons(X10,nil)) = X4
& ssList(X11) )
& ssItem(X10) )
| ~ strictorderedP(X0) ) )
| ( nil = X0
& nil != X1 ) )
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( nil != X3
& nil = X2 )
| ! [X14] :
( ssList(X14)
=> ! [X15] :
( ssList(X15)
=> ( ? [X20] :
( ssItem(X20)
& ? [X21] :
( ssList(X21)
& app(cons(X20,nil),X21) = X15
& ? [X22] :
( ssItem(X22)
& ? [X23] :
( lt(X22,X20)
& app(X23,cons(X22,nil)) = X2
& ssList(X23) ) ) ) )
| ~ strictorderedP(X2)
| ? [X16] :
( ssItem(X16)
& ? [X17] :
( ? [X18] :
( ? [X19] :
( ssList(X19)
& app(cons(X18,nil),X19) = X2
& lt(X16,X18) )
& ssItem(X18) )
& app(X17,cons(X16,nil)) = X14
& ssList(X17) ) )
| app(app(X14,X2),X15) != X3 ) ) )
| X0 != X2
| X1 != X3
| ( ? [X4] :
( ssList(X4)
& ? [X5] :
( ! [X6] :
( ssItem(X6)
=> ! [X7] :
( ssList(X7)
=> ( app(cons(X6,nil),X7) != X5
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssList(X9)
=> ( app(X9,cons(X8,nil)) != X0
| ~ lt(X8,X6) ) ) ) ) ) )
& ssList(X5)
& app(app(X4,X0),X5) = X1
& ! [X10] :
( ssItem(X10)
=> ! [X11] :
( ssList(X11)
=> ( ! [X12] :
( ssItem(X12)
=> ! [X13] :
( ssList(X13)
=> ( ~ lt(X10,X12)
| app(cons(X12,nil),X13) != X0 ) ) )
| app(X11,cons(X10,nil)) != X4 ) ) )
& strictorderedP(X0) ) )
& ( nil = X1
| nil != X0 ) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ? [X14] :
( ? [X15] :
( ssList(X15)
& ! [X20] :
( ssItem(X20)
=> ! [X21] :
( ssList(X21)
=> ( app(cons(X20,nil),X21) != X15
| ! [X22] :
( ssItem(X22)
=> ! [X23] :
( ssList(X23)
=> ( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X0 ) ) ) ) ) )
& app(app(X14,X0),X15) = X1
& strictorderedP(X0)
& ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ( ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssList(X19)
=> ( app(cons(X18,nil),X19) != X0
| ~ lt(X16,X18) ) ) )
| app(X17,cons(X16,nil)) != X14 ) ) ) )
& ssList(X14) )
& ( nil = X1
| nil != X0 ) )
| ( nil != X3
& nil = X2 )
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X2
& lt(X6,X8)
& ssList(X9) ) ) ) )
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) )
& ssList(X11)
& app(cons(X10,nil),X11) = X5 )
& ssItem(X10) )
| ~ strictorderedP(X2) ) ) )
| X0 != X2 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ? [X14] :
( ? [X15] :
( ssList(X15)
& ! [X20] :
( ssItem(X20)
=> ! [X21] :
( ssList(X21)
=> ( app(cons(X20,nil),X21) != X15
| ! [X22] :
( ssItem(X22)
=> ! [X23] :
( ssList(X23)
=> ( ~ lt(X22,X20)
| app(X23,cons(X22,nil)) != X0 ) ) ) ) ) )
& app(app(X14,X0),X15) = X1
& strictorderedP(X0)
& ! [X16] :
( ssItem(X16)
=> ! [X17] :
( ssList(X17)
=> ( ! [X18] :
( ssItem(X18)
=> ! [X19] :
( ssList(X19)
=> ( app(cons(X18,nil),X19) != X0
| ~ lt(X16,X18) ) ) )
| app(X17,cons(X16,nil)) != X14 ) ) ) )
& ssList(X14) )
& ( nil = X1
| nil != X0 ) )
| ( nil != X3
& nil = X2 )
| X1 != X3
| ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( ? [X6] :
( ssItem(X6)
& ? [X7] :
( ssList(X7)
& app(X7,cons(X6,nil)) = X4
& ? [X8] :
( ssItem(X8)
& ? [X9] :
( app(cons(X8,nil),X9) = X2
& lt(X6,X8)
& ssList(X9) ) ) ) )
| app(app(X4,X2),X5) != X3
| ? [X10] :
( ? [X11] :
( ? [X12] :
( ssItem(X12)
& ? [X13] :
( ssList(X13)
& app(X13,cons(X12,nil)) = X2
& lt(X12,X10) ) )
& ssList(X11)
& app(cons(X10,nil),X11) = X5 )
& ssItem(X10) )
| ~ strictorderedP(X2) ) ) )
| X0 != X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f496,plain,
app(app(sK8,sK6),sK9) = sK7,
inference(cnf_transformation,[],[f260]) ).
fof(f997,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15) )
| ~ spl61_48 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1550,plain,
( spl61_75
| ~ spl61_60
| ~ spl61_61
| spl61_64
| ~ spl61_20 ),
inference(avatar_split_clause,[],[f1492,f867,f1104,f1085,f1081,f1281]) ).
fof(f1104,plain,
( spl61_64
<=> ssList(sK13(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_64])]) ).
fof(f867,plain,
( spl61_20
<=> ! [X14,X15] :
( app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_20])]) ).
fof(f1492,plain,
( ssList(sK13(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ spl61_20 ),
inference(trivial_inequality_removal,[],[f1491]) ).
fof(f1491,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| sK5 != sK5
| ssList(sK13(sK8))
| ~ spl61_20 ),
inference(superposition,[],[f868,f650]) ).
fof(f868,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ssList(sK13(X14))
| ~ ssList(X14)
| ~ ssList(X15) )
| ~ spl61_20 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f1549,plain,
( ~ spl61_60
| spl61_67
| spl61_75
| ~ spl61_61
| ~ spl61_11 ),
inference(avatar_split_clause,[],[f1490,f828,f1085,f1281,f1146,f1081]) ).
fof(f1146,plain,
( spl61_67
<=> ssItem(sK10(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_67])]) ).
fof(f828,plain,
( spl61_11
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ssItem(sK10(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_11])]) ).
fof(f1490,plain,
( ~ ssList(sK9)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ssItem(sK10(sK8))
| ~ ssList(sK8)
| ~ spl61_11 ),
inference(trivial_inequality_removal,[],[f1489]) ).
fof(f1489,plain,
( ~ ssList(sK8)
| sK5 != sK5
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK9)
| ssItem(sK10(sK8))
| ~ spl61_11 ),
inference(superposition,[],[f829,f650]) ).
fof(f829,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssItem(sK10(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14) )
| ~ spl61_11 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f1548,plain,
( ~ spl61_61
| spl61_72
| spl61_75
| ~ spl61_60
| ~ spl61_21 ),
inference(avatar_split_clause,[],[f1539,f871,f1081,f1281,f1260,f1085]) ).
fof(f1260,plain,
( spl61_72
<=> sK8 = app(sK11(sK8),cons(sK10(sK8),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_72])]) ).
fof(f871,plain,
( spl61_21
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_21])]) ).
fof(f1539,plain,
( ~ ssList(sK8)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK9)
| ~ spl61_21 ),
inference(trivial_inequality_removal,[],[f1538]) ).
fof(f1538,plain,
( ~ ssList(sK8)
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| sK5 != sK5
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK9)
| ~ spl61_21 ),
inference(superposition,[],[f872,f650]) ).
fof(f872,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15 )
| ~ spl61_21 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f1547,plain,
( ~ spl61_60
| spl61_75
| ~ spl61_61
| spl61_70
| ~ spl61_12 ),
inference(avatar_split_clause,[],[f1527,f832,f1208,f1085,f1281,f1081]) ).
fof(f1208,plain,
( spl61_70
<=> lt(sK10(sK8),sK12(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_70])]) ).
fof(f832,plain,
( spl61_12
<=> ! [X14,X15] :
( ~ ssList(X14)
| lt(sK10(X14),sK12(X14))
| app(app(X14,sK6),X15) != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_12])]) ).
fof(f1527,plain,
( lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK9)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK8)
| ~ spl61_12 ),
inference(trivial_inequality_removal,[],[f1526]) ).
fof(f1526,plain,
( ~ ssList(sK8)
| sK5 != sK5
| ~ ssList(sK9)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| lt(sK10(sK8),sK12(sK8))
| ~ spl61_12 ),
inference(superposition,[],[f833,f650]) ).
fof(f833,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| lt(sK10(X14),sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14) )
| ~ spl61_12 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f1546,plain,
( ~ spl61_60
| spl61_68
| spl61_75
| ~ spl61_61
| ~ spl61_22 ),
inference(avatar_split_clause,[],[f1494,f875,f1085,f1281,f1153,f1081]) ).
fof(f1153,plain,
( spl61_68
<=> ssItem(sK12(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_68])]) ).
fof(f875,plain,
( spl61_22
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_22])]) ).
fof(f1494,plain,
( ~ ssList(sK9)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ssItem(sK12(sK8))
| ~ ssList(sK8)
| ~ spl61_22 ),
inference(trivial_inequality_removal,[],[f1493]) ).
fof(f1493,plain,
( sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK8)
| sK5 != sK5
| ssItem(sK12(sK8))
| ~ ssList(sK9)
| ~ spl61_22 ),
inference(superposition,[],[f876,f650]) ).
fof(f876,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14)
| ssItem(sK12(X14)) )
| ~ spl61_22 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f1545,plain,
( ~ spl61_61
| spl61_62
| ~ spl61_60
| spl61_75
| ~ spl61_53 ),
inference(avatar_split_clause,[],[f1519,f1024,f1281,f1081,f1089,f1085]) ).
fof(f1089,plain,
( spl61_62
<=> ssList(sK11(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_62])]) ).
fof(f1024,plain,
( spl61_53
<=> ! [X14,X15] :
( ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ssList(sK11(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_53])]) ).
fof(f1519,plain,
( sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK8)
| ssList(sK11(sK8))
| ~ ssList(sK9)
| ~ spl61_53 ),
inference(trivial_inequality_removal,[],[f1518]) ).
fof(f1518,plain,
( ~ ssList(sK8)
| sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ ssList(sK9)
| sK5 != sK5
| ssList(sK11(sK8))
| ~ spl61_53 ),
inference(superposition,[],[f1025,f650]) ).
fof(f1025,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK11(X14)) )
| ~ spl61_53 ),
inference(avatar_component_clause,[],[f1024]) ).
fof(f1544,plain,
( spl61_71
| ~ spl61_60
| ~ spl61_61
| spl61_73
| ~ spl61_34 ),
inference(avatar_split_clause,[],[f1532,f927,f1267,f1085,f1081,f1215]) ).
fof(f1215,plain,
( spl61_71
<=> lt(sK16(sK9),sK14(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_71])]) ).
fof(f927,plain,
( spl61_34
<=> ! [X14,X15] :
( ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_34])]) ).
fof(f1532,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| lt(sK16(sK9),sK14(sK9))
| ~ spl61_34 ),
inference(trivial_inequality_removal,[],[f1531]) ).
fof(f1531,plain,
( ~ ssList(sK8)
| lt(sK16(sK9),sK14(sK9))
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK9)
| sK5 != sK5
| ~ spl61_34 ),
inference(superposition,[],[f928,f650]) ).
fof(f928,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ ssList(X14)
| lt(sK16(X15),sK14(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 )
| ~ spl61_34 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f1543,plain,
( ~ spl61_61
| spl61_74
| spl61_73
| ~ spl61_60
| ~ spl61_15 ),
inference(avatar_split_clause,[],[f1537,f844,f1081,f1267,f1274,f1085]) ).
fof(f1274,plain,
( spl61_74
<=> app(sK17(sK9),cons(sK16(sK9),nil)) = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl61_74])]) ).
fof(f844,plain,
( spl61_15
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_15])]) ).
fof(f1537,plain,
( ~ ssList(sK8)
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK9)
| ~ spl61_15 ),
inference(trivial_inequality_removal,[],[f1536]) ).
fof(f1536,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK9)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| sK5 != sK5
| ~ ssList(sK8)
| ~ spl61_15 ),
inference(superposition,[],[f845,f650]) ).
fof(f845,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15) )
| ~ spl61_15 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f1542,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_72
| spl61_74
| ~ spl61_33 ),
inference(avatar_split_clause,[],[f1541,f923,f1274,f1260,f1085,f1081]) ).
fof(f923,plain,
( spl61_33
<=> ! [X14,X15] :
( ~ ssList(X15)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_33])]) ).
fof(f1541,plain,
( app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_33 ),
inference(trivial_inequality_removal,[],[f1540]) ).
fof(f1540,plain,
( sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| sK5 != sK5
| ~ ssList(sK9)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK8)
| ~ spl61_33 ),
inference(superposition,[],[f924,f650]) ).
fof(f924,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14) )
| ~ spl61_33 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f1535,plain,
( spl61_74
| ~ spl61_61
| spl61_70
| ~ spl61_60
| ~ spl61_39 ),
inference(avatar_split_clause,[],[f1534,f950,f1081,f1208,f1085,f1274]) ).
fof(f950,plain,
( spl61_39
<=> ! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ ssList(X15)
| ~ ssList(X14)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_39])]) ).
fof(f1534,plain,
( ~ ssList(sK8)
| lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK9)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ spl61_39 ),
inference(trivial_inequality_removal,[],[f1533]) ).
fof(f1533,plain,
( ~ ssList(sK9)
| sK5 != sK5
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK8)
| lt(sK10(sK8),sK12(sK8))
| ~ spl61_39 ),
inference(superposition,[],[f951,f650]) ).
fof(f951,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| lt(sK10(X14),sK12(X14)) )
| ~ spl61_39 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1530,plain,
( ~ spl61_61
| spl61_72
| spl61_71
| ~ spl61_60
| ~ spl61_25 ),
inference(avatar_split_clause,[],[f1529,f887,f1081,f1215,f1260,f1085]) ).
fof(f887,plain,
( spl61_25
<=> ! [X14,X15] :
( ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_25])]) ).
fof(f1529,plain,
( ~ ssList(sK8)
| lt(sK16(sK9),sK14(sK9))
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK9)
| ~ spl61_25 ),
inference(trivial_inequality_removal,[],[f1528]) ).
fof(f1528,plain,
( ~ ssList(sK9)
| lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| sK5 != sK5
| ~ spl61_25 ),
inference(superposition,[],[f888,f650]) ).
fof(f888,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| ~ ssList(X14) )
| ~ spl61_25 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f1525,plain,
( spl61_63
| ~ spl61_61
| ~ spl61_60
| spl61_72
| ~ spl61_59 ),
inference(avatar_split_clause,[],[f1524,f1067,f1260,f1081,f1085,f1093]) ).
fof(f1093,plain,
( spl61_63
<=> ssItem(sK14(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_63])]) ).
fof(f1067,plain,
( spl61_59
<=> ! [X14,X15] :
( app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_59])]) ).
fof(f1524,plain,
( sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK14(sK9))
| ~ spl61_59 ),
inference(trivial_inequality_removal,[],[f1523]) ).
fof(f1523,plain,
( ~ ssList(sK8)
| ssItem(sK14(sK9))
| sK5 != sK5
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK9)
| ~ spl61_59 ),
inference(superposition,[],[f1068,f650]) ).
fof(f1068,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK14(X15))
| app(sK11(X14),cons(sK10(X14),nil)) = X14 )
| ~ spl61_59 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1522,plain,
( spl61_65
| ~ spl61_61
| ~ spl61_60
| spl61_72
| ~ spl61_57 ),
inference(avatar_split_clause,[],[f1521,f1056,f1260,f1081,f1085,f1108]) ).
fof(f1108,plain,
( spl61_65
<=> ssList(sK17(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_65])]) ).
fof(f1056,plain,
( spl61_57
<=> ! [X14,X15] :
( ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK17(X15))
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_57])]) ).
fof(f1521,plain,
( sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssList(sK17(sK9))
| ~ spl61_57 ),
inference(trivial_inequality_removal,[],[f1520]) ).
fof(f1520,plain,
( sK5 != sK5
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ssList(sK17(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ~ spl61_57 ),
inference(superposition,[],[f1057,f650]) ).
fof(f1057,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_57 ),
inference(avatar_component_clause,[],[f1056]) ).
fof(f1517,plain,
( spl61_62
| spl61_74
| ~ spl61_60
| ~ spl61_61
| ~ spl61_50 ),
inference(avatar_split_clause,[],[f1516,f1005,f1085,f1081,f1274,f1089]) ).
fof(f1005,plain,
( spl61_50
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ssList(sK11(X14))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_50])]) ).
fof(f1516,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ssList(sK11(sK8))
| ~ spl61_50 ),
inference(trivial_inequality_removal,[],[f1515]) ).
fof(f1515,plain,
( ~ ssList(sK8)
| sK5 != sK5
| ssList(sK11(sK8))
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK9)
| ~ spl61_50 ),
inference(superposition,[],[f1006,f650]) ).
fof(f1006,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK11(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6 )
| ~ spl61_50 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f1512,plain,
( ~ spl61_61
| ~ spl61_60
| spl61_74
| spl61_68
| ~ spl61_49 ),
inference(avatar_split_clause,[],[f1511,f1000,f1153,f1274,f1081,f1085]) ).
fof(f1000,plain,
( spl61_49
<=> ! [X14,X15] :
( app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X15)
| ~ ssList(X14)
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_49])]) ).
fof(f1511,plain,
( ssItem(sK12(sK8))
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK8)
| ~ ssList(sK9)
| ~ spl61_49 ),
inference(trivial_inequality_removal,[],[f1510]) ).
fof(f1510,plain,
( ~ ssList(sK9)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ssItem(sK12(sK8))
| ~ ssList(sK8)
| sK5 != sK5
| ~ spl61_49 ),
inference(superposition,[],[f1001,f650]) ).
fof(f1001,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| ssItem(sK12(X14)) )
| ~ spl61_49 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1509,plain,
( ~ spl61_60
| spl61_72
| ~ spl61_61
| spl61_66
| ~ spl61_29 ),
inference(avatar_split_clause,[],[f1499,f905,f1142,f1085,f1260,f1081]) ).
fof(f1142,plain,
( spl61_66
<=> ssList(sK15(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_66])]) ).
fof(f905,plain,
( spl61_29
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| ssList(sK15(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_29])]) ).
fof(f1499,plain,
( ssList(sK15(sK9))
| ~ ssList(sK9)
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK8)
| ~ spl61_29 ),
inference(trivial_inequality_removal,[],[f1498]) ).
fof(f1498,plain,
( ~ ssList(sK9)
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ssList(sK15(sK9))
| sK5 != sK5
| ~ ssList(sK8)
| ~ spl61_29 ),
inference(superposition,[],[f906,f650]) ).
fof(f906,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X14)
| ssList(sK15(X15))
| ~ ssList(X15) )
| ~ spl61_29 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1508,plain,
( ~ spl61_61
| ~ spl61_60
| spl61_73
| spl61_65
| ~ spl61_46 ),
inference(avatar_split_clause,[],[f1507,f984,f1108,f1267,f1081,f1085]) ).
fof(f984,plain,
( spl61_46
<=> ! [X14,X15] :
( ~ ssList(X14)
| ssList(sK17(X15))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_46])]) ).
fof(f1507,plain,
( ssList(sK17(sK9))
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ~ spl61_46 ),
inference(trivial_inequality_removal,[],[f1506]) ).
fof(f1506,plain,
( sK5 != sK5
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ssList(sK17(sK9))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_46 ),
inference(superposition,[],[f985,f650]) ).
fof(f985,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK17(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_46 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f1505,plain,
( ~ spl61_60
| spl61_73
| spl61_69
| ~ spl61_61
| ~ spl61_41 ),
inference(avatar_split_clause,[],[f1504,f958,f1085,f1160,f1267,f1081]) ).
fof(f1160,plain,
( spl61_69
<=> ssItem(sK16(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_69])]) ).
fof(f958,plain,
( spl61_41
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ ssList(X14)
| ssItem(sK16(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_41])]) ).
fof(f1504,plain,
( ~ ssList(sK9)
| ssItem(sK16(sK9))
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK8)
| ~ spl61_41 ),
inference(trivial_inequality_removal,[],[f1503]) ).
fof(f1503,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK16(sK9))
| sK5 != sK5
| ~ spl61_41 ),
inference(superposition,[],[f959,f650]) ).
fof(f959,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssItem(sK16(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15) )
| ~ spl61_41 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f1502,plain,
( ~ spl61_61
| spl61_74
| ~ spl61_60
| spl61_67
| ~ spl61_36 ),
inference(avatar_split_clause,[],[f1501,f936,f1146,f1081,f1274,f1085]) ).
fof(f936,plain,
( spl61_36
<=> ! [X14,X15] :
( ~ ssList(X15)
| ssItem(sK10(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_36])]) ).
fof(f1501,plain,
( ssItem(sK10(sK8))
| ~ ssList(sK8)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK9)
| ~ spl61_36 ),
inference(trivial_inequality_removal,[],[f1500]) ).
fof(f1500,plain,
( app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK9)
| ssItem(sK10(sK8))
| ~ ssList(sK8)
| sK5 != sK5
| ~ spl61_36 ),
inference(superposition,[],[f937,f650]) ).
fof(f937,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ssItem(sK10(X14))
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_36 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1497,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_66
| spl61_73
| ~ spl61_23 ),
inference(avatar_split_clause,[],[f1496,f879,f1267,f1142,f1085,f1081]) ).
fof(f879,plain,
( spl61_23
<=> ! [X14,X15] :
( ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK15(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_23])]) ).
fof(f1496,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ssList(sK15(sK9))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_23 ),
inference(trivial_inequality_removal,[],[f1495]) ).
fof(f1495,plain,
( ~ ssList(sK8)
| ssList(sK15(sK9))
| sK5 != sK5
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK9)
| ~ spl61_23 ),
inference(superposition,[],[f880,f650]) ).
fof(f880,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK15(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 )
| ~ spl61_23 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1488,plain,
( ~ spl61_60
| spl61_64
| ~ spl61_61
| spl61_74
| ~ spl61_10 ),
inference(avatar_split_clause,[],[f1487,f824,f1274,f1085,f1104,f1081]) ).
fof(f824,plain,
( spl61_10
<=> ! [X14,X15] :
( app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| ssList(sK13(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_10])]) ).
fof(f1487,plain,
( app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ ssList(sK9)
| ssList(sK13(sK8))
| ~ ssList(sK8)
| ~ spl61_10 ),
inference(trivial_inequality_removal,[],[f1486]) ).
fof(f1486,plain,
( ssList(sK13(sK8))
| ~ ssList(sK8)
| ~ ssList(sK9)
| app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| sK5 != sK5
| ~ spl61_10 ),
inference(superposition,[],[f825,f650]) ).
fof(f825,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_10 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f1485,plain,
( spl61_63
| ~ spl61_60
| ~ spl61_61
| spl61_73
| ~ spl61_8 ),
inference(avatar_split_clause,[],[f1484,f815,f1267,f1085,f1081,f1093]) ).
fof(f815,plain,
( spl61_8
<=> ! [X14,X15] :
( ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_8])]) ).
fof(f1484,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ssItem(sK14(sK9))
| ~ spl61_8 ),
inference(trivial_inequality_removal,[],[f1483]) ).
fof(f1483,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| sK5 != sK5
| sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ssItem(sK14(sK9))
| ~ spl61_8 ),
inference(superposition,[],[f816,f650]) ).
fof(f816,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK14(X15)) )
| ~ spl61_8 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1481,plain,
( ~ spl61_62
| ~ spl61_67
| spl61_79
| ~ spl61_72 ),
inference(avatar_split_clause,[],[f1480,f1260,f1357,f1146,f1089]) ).
fof(f1357,plain,
( spl61_79
<=> ! [X0,X1] :
( app(cons(X0,nil),X1) != sK6
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ lt(sK10(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_79])]) ).
fof(f1480,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(sK10(sK8))
| ~ ssList(sK11(sK8))
| ~ lt(sK10(sK8),X0)
| app(cons(X0,nil),X1) != sK6
| ~ ssItem(X0) )
| ~ spl61_72 ),
inference(trivial_inequality_removal,[],[f1479]) ).
fof(f1479,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sK6
| ~ ssList(X1)
| ~ ssItem(sK10(sK8))
| sK8 != sK8
| ~ lt(sK10(sK8),X0)
| ~ ssItem(X0)
| ~ ssList(sK11(sK8)) )
| ~ spl61_72 ),
inference(superposition,[],[f495,f1262]) ).
fof(f1262,plain,
( sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ spl61_72 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f495,plain,
! [X10,X11,X12,X13] :
( sK8 != app(X11,cons(X10,nil))
| app(cons(X12,nil),X13) != sK6
| ~ ssItem(X12)
| ~ lt(X10,X12)
| ~ ssList(X11)
| ~ ssList(X13)
| ~ ssItem(X10) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1477,plain,
( spl61_69
| ~ spl61_61
| ~ spl61_60
| spl61_72
| ~ spl61_6 ),
inference(avatar_split_clause,[],[f1476,f807,f1260,f1081,f1085,f1160]) ).
fof(f807,plain,
( spl61_6
<=> ! [X14,X15] :
( ssItem(sK16(X15))
| ~ ssList(X15)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_6])]) ).
fof(f1476,plain,
( sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK16(sK9))
| ~ spl61_6 ),
inference(trivial_inequality_removal,[],[f1475]) ).
fof(f1475,plain,
( ~ ssList(sK8)
| ~ ssList(sK9)
| sK8 = app(sK11(sK8),cons(sK10(sK8),nil))
| sK5 != sK5
| ssItem(sK16(sK9))
| ~ spl61_6 ),
inference(superposition,[],[f808,f650]) ).
fof(f808,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssItem(sK16(X15))
| ~ ssList(X14) )
| ~ spl61_6 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f1474,plain,
( ~ spl61_60
| spl61_71
| spl61_70
| ~ spl61_61
| ~ spl61_47 ),
inference(avatar_split_clause,[],[f1473,f992,f1085,f1208,f1215,f1081]) ).
fof(f992,plain,
( spl61_47
<=> ! [X14,X15] :
( ~ ssList(X14)
| lt(sK16(X15),sK14(X15))
| lt(sK10(X14),sK12(X14))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_47])]) ).
fof(f1473,plain,
( ~ ssList(sK9)
| lt(sK10(sK8),sK12(sK8))
| lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| ~ spl61_47 ),
inference(trivial_inequality_removal,[],[f1472]) ).
fof(f1472,plain,
( ~ ssList(sK9)
| lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| lt(sK10(sK8),sK12(sK8))
| sK5 != sK5
| ~ spl61_47 ),
inference(superposition,[],[f993,f650]) ).
fof(f993,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| lt(sK10(X14),sK12(X14))
| ~ ssList(X14) )
| ~ spl61_47 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1471,plain,
( spl61_66
| ~ spl61_60
| ~ spl61_61
| spl61_70
| ~ spl61_55 ),
inference(avatar_split_clause,[],[f1470,f1034,f1208,f1085,f1081,f1142]) ).
fof(f1034,plain,
( spl61_55
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_55])]) ).
fof(f1470,plain,
( lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ssList(sK15(sK9))
| ~ spl61_55 ),
inference(trivial_inequality_removal,[],[f1469]) ).
fof(f1469,plain,
( ssList(sK15(sK9))
| ~ ssList(sK8)
| sK5 != sK5
| lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK9)
| ~ spl61_55 ),
inference(superposition,[],[f1035,f650]) ).
fof(f1035,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X14)
| ~ ssList(X15) )
| ~ spl61_55 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1468,plain,
( ~ spl61_61
| spl61_70
| ~ spl61_60
| spl61_65
| ~ spl61_54 ),
inference(avatar_split_clause,[],[f1467,f1029,f1108,f1081,f1208,f1085]) ).
fof(f1029,plain,
( spl61_54
<=> ! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssList(sK17(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_54])]) ).
fof(f1467,plain,
( ssList(sK17(sK9))
| ~ ssList(sK8)
| lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK9)
| ~ spl61_54 ),
inference(trivial_inequality_removal,[],[f1466]) ).
fof(f1466,plain,
( ~ ssList(sK8)
| sK5 != sK5
| ~ ssList(sK9)
| lt(sK10(sK8),sK12(sK8))
| ssList(sK17(sK9))
| ~ spl61_54 ),
inference(superposition,[],[f1030,f650]) ).
fof(f1030,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ ssList(X14)
| lt(sK10(X14),sK12(X14)) )
| ~ spl61_54 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1465,plain,
( spl61_62
| spl61_71
| ~ spl61_60
| ~ spl61_61
| ~ spl61_40 ),
inference(avatar_split_clause,[],[f1464,f954,f1085,f1081,f1215,f1089]) ).
fof(f954,plain,
( spl61_40
<=> ! [X14,X15] :
( lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ssList(sK11(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_40])]) ).
fof(f1464,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| lt(sK16(sK9),sK14(sK9))
| ssList(sK11(sK8))
| ~ spl61_40 ),
inference(trivial_inequality_removal,[],[f1463]) ).
fof(f1463,plain,
( ~ ssList(sK8)
| ~ ssList(sK9)
| ssList(sK11(sK8))
| sK5 != sK5
| lt(sK16(sK9),sK14(sK9))
| ~ spl61_40 ),
inference(superposition,[],[f955,f650]) ).
fof(f955,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| ~ ssList(X14)
| ~ ssList(X15)
| lt(sK16(X15),sK14(X15)) )
| ~ spl61_40 ),
inference(avatar_component_clause,[],[f954]) ).
fof(f1462,plain,
( spl61_68
| ~ spl61_61
| ~ spl61_60
| spl61_71
| ~ spl61_35 ),
inference(avatar_split_clause,[],[f1461,f932,f1215,f1081,f1085,f1153]) ).
fof(f932,plain,
( spl61_35
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_35])]) ).
fof(f1461,plain,
( lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK12(sK8))
| ~ spl61_35 ),
inference(trivial_inequality_removal,[],[f1460]) ).
fof(f1460,plain,
( lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK12(sK8))
| sK5 != sK5
| ~ spl61_35 ),
inference(superposition,[],[f933,f650]) ).
fof(f933,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssItem(sK12(X14))
| ~ ssList(X14)
| lt(sK16(X15),sK14(X15)) )
| ~ spl61_35 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f1459,plain,
( spl61_70
| ~ spl61_61
| spl61_63
| ~ spl61_60
| ~ spl61_32 ),
inference(avatar_split_clause,[],[f1458,f919,f1081,f1093,f1085,f1208]) ).
fof(f919,plain,
( spl61_32
<=> ! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_32])]) ).
fof(f1458,plain,
( ~ ssList(sK8)
| ssItem(sK14(sK9))
| ~ ssList(sK9)
| lt(sK10(sK8),sK12(sK8))
| ~ spl61_32 ),
inference(trivial_inequality_removal,[],[f1457]) ).
fof(f1457,plain,
( ~ ssList(sK9)
| lt(sK10(sK8),sK12(sK8))
| ssItem(sK14(sK9))
| ~ ssList(sK8)
| sK5 != sK5
| ~ spl61_32 ),
inference(superposition,[],[f920,f650]) ).
fof(f920,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| lt(sK10(X14),sK12(X14))
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_32 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1456,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_71
| spl61_67
| ~ spl61_26 ),
inference(avatar_split_clause,[],[f1455,f891,f1146,f1215,f1085,f1081]) ).
fof(f891,plain,
( spl61_26
<=> ! [X14,X15] :
( ~ ssList(X15)
| ssItem(sK10(X14))
| ~ ssList(X14)
| lt(sK16(X15),sK14(X15))
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_26])]) ).
fof(f1455,plain,
( ssItem(sK10(sK8))
| lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_26 ),
inference(trivial_inequality_removal,[],[f1454]) ).
fof(f1454,plain,
( sK5 != sK5
| lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK10(sK8))
| ~ spl61_26 ),
inference(superposition,[],[f892,f650]) ).
fof(f892,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK10(X14))
| lt(sK16(X15),sK14(X15)) )
| ~ spl61_26 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f1453,plain,
( ~ spl61_60
| spl61_64
| ~ spl61_61
| spl61_71
| ~ spl61_19 ),
inference(avatar_split_clause,[],[f1452,f863,f1215,f1085,f1104,f1081]) ).
fof(f863,plain,
( spl61_19
<=> ! [X14,X15] :
( ssList(sK13(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_19])]) ).
fof(f1452,plain,
( lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK9)
| ssList(sK13(sK8))
| ~ ssList(sK8)
| ~ spl61_19 ),
inference(trivial_inequality_removal,[],[f1451]) ).
fof(f1451,plain,
( lt(sK16(sK9),sK14(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssList(sK13(sK8))
| sK5 != sK5
| ~ spl61_19 ),
inference(superposition,[],[f864,f650]) ).
fof(f864,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X14)
| ~ ssList(X15) )
| ~ spl61_19 ),
inference(avatar_component_clause,[],[f863]) ).
fof(f1450,plain,
( spl61_69
| ~ spl61_61
| ~ spl61_60
| spl61_70
| ~ spl61_9 ),
inference(avatar_split_clause,[],[f1449,f820,f1208,f1081,f1085,f1160]) ).
fof(f820,plain,
( spl61_9
<=> ! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_9])]) ).
fof(f1449,plain,
( lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK16(sK9))
| ~ spl61_9 ),
inference(trivial_inequality_removal,[],[f1448]) ).
fof(f1448,plain,
( lt(sK10(sK8),sK12(sK8))
| ~ ssList(sK8)
| sK5 != sK5
| ssItem(sK16(sK9))
| ~ ssList(sK9)
| ~ spl61_9 ),
inference(superposition,[],[f821,f650]) ).
fof(f821,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| lt(sK10(X14),sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15) )
| ~ spl61_9 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f1447,plain,
( spl61_69
| ~ spl61_61
| spl61_68
| ~ spl61_60
| ~ spl61_52 ),
inference(avatar_split_clause,[],[f1446,f1020,f1081,f1153,f1085,f1160]) ).
fof(f1020,plain,
( spl61_52
<=> ! [X14,X15] :
( ~ ssList(X15)
| ~ ssList(X14)
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_52])]) ).
fof(f1446,plain,
( ~ ssList(sK8)
| ssItem(sK12(sK8))
| ~ ssList(sK9)
| ssItem(sK16(sK9))
| ~ spl61_52 ),
inference(trivial_inequality_removal,[],[f1445]) ).
fof(f1445,plain,
( ssItem(sK12(sK8))
| ssItem(sK16(sK9))
| ~ ssList(sK9)
| sK5 != sK5
| ~ ssList(sK8)
| ~ spl61_52 ),
inference(superposition,[],[f1021,f650]) ).
fof(f1021,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK16(X15))
| ssItem(sK12(X14)) )
| ~ spl61_52 ),
inference(avatar_component_clause,[],[f1020]) ).
fof(f1444,plain,
( ~ spl61_60
| spl61_63
| spl61_64
| ~ spl61_61
| ~ spl61_51 ),
inference(avatar_split_clause,[],[f1443,f1014,f1085,f1104,f1093,f1081]) ).
fof(f1014,plain,
( spl61_51
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK13(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_51])]) ).
fof(f1443,plain,
( ~ ssList(sK9)
| ssList(sK13(sK8))
| ssItem(sK14(sK9))
| ~ ssList(sK8)
| ~ spl61_51 ),
inference(trivial_inequality_removal,[],[f1442]) ).
fof(f1442,plain,
( ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK14(sK9))
| sK5 != sK5
| ssList(sK13(sK8))
| ~ spl61_51 ),
inference(superposition,[],[f1015,f650]) ).
fof(f1015,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ ssList(X14) )
| ~ spl61_51 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1441,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_67
| spl61_69
| ~ spl61_45 ),
inference(avatar_split_clause,[],[f1440,f977,f1160,f1146,f1085,f1081]) ).
fof(f977,plain,
( spl61_45
<=> ! [X14,X15] :
( ssItem(sK10(X14))
| ~ ssList(X15)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_45])]) ).
fof(f1440,plain,
( ssItem(sK16(sK9))
| ssItem(sK10(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_45 ),
inference(trivial_inequality_removal,[],[f1439]) ).
fof(f1439,plain,
( ~ ssList(sK9)
| ssItem(sK16(sK9))
| ssItem(sK10(sK8))
| sK5 != sK5
| ~ ssList(sK8)
| ~ spl61_45 ),
inference(superposition,[],[f978,f650]) ).
fof(f978,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK10(X14))
| ~ ssList(X15)
| ~ ssList(X14)
| ssItem(sK16(X15)) )
| ~ spl61_45 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1438,plain,
( spl61_66
| spl61_64
| ~ spl61_60
| ~ spl61_61
| ~ spl61_44 ),
inference(avatar_split_clause,[],[f1437,f972,f1085,f1081,f1104,f1142]) ).
fof(f972,plain,
( spl61_44
<=> ! [X14,X15] :
( ssList(sK13(X14))
| ssList(sK15(X15))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_44])]) ).
fof(f1437,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ssList(sK13(sK8))
| ssList(sK15(sK9))
| ~ spl61_44 ),
inference(trivial_inequality_removal,[],[f1436]) ).
fof(f1436,plain,
( sK5 != sK5
| ssList(sK13(sK8))
| ssList(sK15(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ~ spl61_44 ),
inference(superposition,[],[f973,f650]) ).
fof(f973,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| ~ ssList(X15)
| ssList(sK15(X15))
| ~ ssList(X14) )
| ~ spl61_44 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1435,plain,
( spl61_68
| ~ spl61_60
| spl61_66
| ~ spl61_61
| ~ spl61_43 ),
inference(avatar_split_clause,[],[f1434,f968,f1085,f1142,f1081,f1153]) ).
fof(f968,plain,
( spl61_43
<=> ! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_43])]) ).
fof(f1434,plain,
( ~ ssList(sK9)
| ssList(sK15(sK9))
| ~ ssList(sK8)
| ssItem(sK12(sK8))
| ~ spl61_43 ),
inference(trivial_inequality_removal,[],[f1433]) ).
fof(f1433,plain,
( ssList(sK15(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| sK5 != sK5
| ssItem(sK12(sK8))
| ~ spl61_43 ),
inference(superposition,[],[f969,f650]) ).
fof(f969,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssItem(sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15) )
| ~ spl61_43 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1432,plain,
( ~ spl61_60
| spl61_65
| ~ spl61_61
| spl61_68
| ~ spl61_42 ),
inference(avatar_split_clause,[],[f1431,f962,f1153,f1085,f1108,f1081]) ).
fof(f962,plain,
( spl61_42
<=> ! [X14,X15] :
( ~ ssList(X14)
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssList(sK17(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_42])]) ).
fof(f1431,plain,
( ssItem(sK12(sK8))
| ~ ssList(sK9)
| ssList(sK17(sK9))
| ~ ssList(sK8)
| ~ spl61_42 ),
inference(trivial_inequality_removal,[],[f1430]) ).
fof(f1430,plain,
( ~ ssList(sK9)
| sK5 != sK5
| ssList(sK17(sK9))
| ssItem(sK12(sK8))
| ~ ssList(sK8)
| ~ spl61_42 ),
inference(superposition,[],[f963,f650]) ).
fof(f963,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK17(X15))
| ~ ssList(X15)
| ssItem(sK12(X14)) )
| ~ spl61_42 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f1429,plain,
( spl61_67
| ~ spl61_60
| spl61_63
| ~ spl61_61
| ~ spl61_38 ),
inference(avatar_split_clause,[],[f1428,f946,f1085,f1093,f1081,f1146]) ).
fof(f946,plain,
( spl61_38
<=> ! [X14,X15] :
( ssItem(sK14(X15))
| ~ ssList(X15)
| ssItem(sK10(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_38])]) ).
fof(f1428,plain,
( ~ ssList(sK9)
| ssItem(sK14(sK9))
| ~ ssList(sK8)
| ssItem(sK10(sK8))
| ~ spl61_38 ),
inference(trivial_inequality_removal,[],[f1427]) ).
fof(f1427,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ssItem(sK10(sK8))
| ssItem(sK14(sK9))
| sK5 != sK5
| ~ spl61_38 ),
inference(superposition,[],[f947,f650]) ).
fof(f947,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssItem(sK10(X14))
| ssItem(sK14(X15))
| ~ ssList(X14) )
| ~ spl61_38 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1426,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_62
| spl61_65
| ~ spl61_37 ),
inference(avatar_split_clause,[],[f1425,f941,f1108,f1089,f1085,f1081]) ).
fof(f941,plain,
( spl61_37
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK11(X14))
| ~ ssList(X15)
| ssList(sK17(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_37])]) ).
fof(f1425,plain,
( ssList(sK17(sK9))
| ssList(sK11(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_37 ),
inference(trivial_inequality_removal,[],[f1424]) ).
fof(f1424,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ssList(sK11(sK8))
| ssList(sK17(sK9))
| sK5 != sK5
| ~ spl61_37 ),
inference(superposition,[],[f942,f650]) ).
fof(f942,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK17(X15))
| ssList(sK11(X14))
| ~ ssList(X15) )
| ~ spl61_37 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f1423,plain,
( ~ spl61_61
| spl61_62
| spl61_66
| ~ spl61_60
| ~ spl61_30 ),
inference(avatar_split_clause,[],[f1422,f909,f1081,f1142,f1089,f1085]) ).
fof(f909,plain,
( spl61_30
<=> ! [X14,X15] :
( ~ ssList(X14)
| ssList(sK11(X14))
| ~ ssList(X15)
| ssList(sK15(X15))
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_30])]) ).
fof(f1422,plain,
( ~ ssList(sK8)
| ssList(sK15(sK9))
| ssList(sK11(sK8))
| ~ ssList(sK9)
| ~ spl61_30 ),
inference(trivial_inequality_removal,[],[f1421]) ).
fof(f1421,plain,
( ~ ssList(sK9)
| ssList(sK11(sK8))
| ssList(sK15(sK9))
| sK5 != sK5
| ~ ssList(sK8)
| ~ spl61_30 ),
inference(superposition,[],[f910,f650]) ).
fof(f910,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK15(X15))
| ssList(sK11(X14))
| ~ ssList(X15) )
| ~ spl61_30 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1420,plain,
( spl61_67
| ~ spl61_61
| ~ spl61_60
| spl61_65
| ~ spl61_28 ),
inference(avatar_split_clause,[],[f1419,f900,f1108,f1081,f1085,f1146]) ).
fof(f900,plain,
( spl61_28
<=> ! [X14,X15] :
( ~ ssList(X14)
| ssList(sK17(X15))
| ssItem(sK10(X14))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_28])]) ).
fof(f1419,plain,
( ssList(sK17(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK10(sK8))
| ~ spl61_28 ),
inference(trivial_inequality_removal,[],[f1418]) ).
fof(f1418,plain,
( sK5 != sK5
| ssList(sK17(sK9))
| ~ ssList(sK8)
| ~ ssList(sK9)
| ssItem(sK10(sK8))
| ~ spl61_28 ),
inference(superposition,[],[f901,f650]) ).
fof(f901,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssList(sK17(X15))
| ssItem(sK10(X14))
| ~ ssList(X14) )
| ~ spl61_28 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1417,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_62
| spl61_69
| ~ spl61_27 ),
inference(avatar_split_clause,[],[f1416,f895,f1160,f1089,f1085,f1081]) ).
fof(f895,plain,
( spl61_27
<=> ! [X14,X15] :
( ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK16(X15))
| ssList(sK11(X14))
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_27])]) ).
fof(f1416,plain,
( ssItem(sK16(sK9))
| ssList(sK11(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_27 ),
inference(trivial_inequality_removal,[],[f1415]) ).
fof(f1415,plain,
( ssItem(sK16(sK9))
| sK5 != sK5
| ~ ssList(sK8)
| ssList(sK11(sK8))
| ~ ssList(sK9)
| ~ spl61_27 ),
inference(superposition,[],[f896,f650]) ).
fof(f896,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK16(X15))
| ~ ssList(X14)
| ~ ssList(X15) )
| ~ spl61_27 ),
inference(avatar_component_clause,[],[f895]) ).
fof(f1414,plain,
( spl61_64
| ~ spl61_60
| ~ spl61_61
| spl61_69
| ~ spl61_24 ),
inference(avatar_split_clause,[],[f1413,f883,f1160,f1085,f1081,f1104]) ).
fof(f883,plain,
( spl61_24
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK13(X14))
| ssItem(sK16(X15)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_24])]) ).
fof(f1413,plain,
( ssItem(sK16(sK9))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ssList(sK13(sK8))
| ~ spl61_24 ),
inference(trivial_inequality_removal,[],[f1412]) ).
fof(f1412,plain,
( ssItem(sK16(sK9))
| sK5 != sK5
| ~ ssList(sK9)
| ssList(sK13(sK8))
| ~ ssList(sK8)
| ~ spl61_24 ),
inference(superposition,[],[f884,f650]) ).
fof(f884,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15))
| ~ ssList(X15)
| ssList(sK13(X14))
| ~ ssList(X14) )
| ~ spl61_24 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f1411,plain,
( ~ spl61_60
| ~ spl61_61
| spl61_68
| spl61_63
| ~ spl61_18 ),
inference(avatar_split_clause,[],[f1410,f859,f1093,f1153,f1085,f1081]) ).
fof(f859,plain,
( spl61_18
<=> ! [X14,X15] :
( ssItem(sK14(X15))
| ~ ssList(X15)
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_18])]) ).
fof(f1410,plain,
( ssItem(sK14(sK9))
| ssItem(sK12(sK8))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ~ spl61_18 ),
inference(trivial_inequality_removal,[],[f1409]) ).
fof(f1409,plain,
( ssItem(sK14(sK9))
| ~ ssList(sK9)
| sK5 != sK5
| ~ ssList(sK8)
| ssItem(sK12(sK8))
| ~ spl61_18 ),
inference(superposition,[],[f860,f650]) ).
fof(f860,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK12(X14))
| ssItem(sK14(X15)) )
| ~ spl61_18 ),
inference(avatar_component_clause,[],[f859]) ).
fof(f1402,plain,
( ~ spl61_61
| spl61_67
| spl61_66
| ~ spl61_60
| ~ spl61_14 ),
inference(avatar_split_clause,[],[f1401,f840,f1081,f1142,f1146,f1085]) ).
fof(f840,plain,
( spl61_14
<=> ! [X14,X15] :
( ssList(sK15(X15))
| ~ ssList(X15)
| ssItem(sK10(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_14])]) ).
fof(f1401,plain,
( ~ ssList(sK8)
| ssList(sK15(sK9))
| ssItem(sK10(sK8))
| ~ ssList(sK9)
| ~ spl61_14 ),
inference(trivial_inequality_removal,[],[f1400]) ).
fof(f1400,plain,
( ssList(sK15(sK9))
| ~ ssList(sK9)
| ~ ssList(sK8)
| ssItem(sK10(sK8))
| sK5 != sK5
| ~ spl61_14 ),
inference(superposition,[],[f841,f650]) ).
fof(f841,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK15(X15))
| ssItem(sK10(X14))
| ~ ssList(X15) )
| ~ spl61_14 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f1399,plain,
( spl61_65
| ~ spl61_61
| spl61_64
| ~ spl61_60
| ~ spl61_13 ),
inference(avatar_split_clause,[],[f1398,f836,f1081,f1104,f1085,f1108]) ).
fof(f836,plain,
( spl61_13
<=> ! [X14,X15] :
( ~ ssList(X15)
| ssList(sK17(X15))
| ssList(sK13(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_13])]) ).
fof(f1398,plain,
( ~ ssList(sK8)
| ssList(sK13(sK8))
| ~ ssList(sK9)
| ssList(sK17(sK9))
| ~ spl61_13 ),
inference(trivial_inequality_removal,[],[f1397]) ).
fof(f1397,plain,
( ~ ssList(sK9)
| ssList(sK17(sK9))
| ~ ssList(sK8)
| ssList(sK13(sK8))
| sK5 != sK5
| ~ spl61_13 ),
inference(superposition,[],[f837,f650]) ).
fof(f837,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK13(X14))
| ssList(sK17(X15))
| ~ ssList(X15) )
| ~ spl61_13 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1396,plain,
( ~ spl61_66
| ~ spl61_63
| spl61_78
| ~ spl61_75 ),
inference(avatar_split_clause,[],[f1395,f1281,f1329,f1093,f1142]) ).
fof(f1329,plain,
( spl61_78
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ lt(X0,sK14(sK9))
| ~ ssList(X1)
| app(X1,cons(X0,nil)) != sK6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_78])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( app(X1,cons(X0,nil)) != sK6
| ~ ssItem(sK14(sK9))
| ~ ssItem(X0)
| ~ lt(X0,sK14(sK9))
| ~ ssList(sK15(sK9))
| ~ ssList(X1) )
| ~ spl61_75 ),
inference(trivial_inequality_removal,[],[f1394]) ).
fof(f1394,plain,
( ! [X0,X1] :
( app(X1,cons(X0,nil)) != sK6
| ~ ssList(sK15(sK9))
| ~ ssList(X1)
| sK9 != sK9
| ~ ssItem(X0)
| ~ lt(X0,sK14(sK9))
| ~ ssItem(sK14(sK9)) )
| ~ spl61_75 ),
inference(superposition,[],[f497,f1283]) ).
fof(f1283,plain,
( sK9 = app(cons(sK14(sK9),nil),sK15(sK9))
| ~ spl61_75 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f497,plain,
! [X8,X6,X9,X7] :
( sK9 != app(cons(X6,nil),X7)
| ~ ssList(X7)
| ~ lt(X8,X6)
| sK6 != app(X9,cons(X8,nil))
| ~ ssItem(X8)
| ~ ssItem(X6)
| ~ ssList(X9) ),
inference(cnf_transformation,[],[f260]) ).
fof(f1393,plain,
( ~ spl61_61
| spl61_63
| ~ spl61_60
| spl61_62
| ~ spl61_3 ),
inference(avatar_split_clause,[],[f1392,f794,f1089,f1081,f1093,f1085]) ).
fof(f794,plain,
( spl61_3
<=> ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK11(X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_3])]) ).
fof(f1392,plain,
( ssList(sK11(sK8))
| ~ ssList(sK8)
| ssItem(sK14(sK9))
| ~ ssList(sK9)
| ~ spl61_3 ),
inference(trivial_inequality_removal,[],[f1391]) ).
fof(f1391,plain,
( ~ ssList(sK9)
| ~ ssList(sK8)
| ssList(sK11(sK8))
| ssItem(sK14(sK9))
| sK5 != sK5
| ~ spl61_3 ),
inference(superposition,[],[f795,f650]) ).
fof(f795,plain,
( ! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| ~ ssList(X14)
| ssItem(sK14(X15))
| ~ ssList(X15) )
| ~ spl61_3 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f1376,plain,
( ~ spl61_64
| ~ spl61_68
| ~ spl61_70
| ~ spl61_73
| ~ spl61_79 ),
inference(avatar_split_clause,[],[f1375,f1357,f1267,f1208,f1153,f1104]) ).
fof(f1375,plain,
( ~ lt(sK10(sK8),sK12(sK8))
| ~ ssItem(sK12(sK8))
| ~ ssList(sK13(sK8))
| ~ spl61_73
| ~ spl61_79 ),
inference(trivial_inequality_removal,[],[f1374]) ).
fof(f1374,plain,
( ~ lt(sK10(sK8),sK12(sK8))
| sK6 != sK6
| ~ ssItem(sK12(sK8))
| ~ ssList(sK13(sK8))
| ~ spl61_73
| ~ spl61_79 ),
inference(superposition,[],[f1358,f1269]) ).
fof(f1269,plain,
( sK6 = app(cons(sK12(sK8),nil),sK13(sK8))
| ~ spl61_73 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1358,plain,
( ! [X0,X1] :
( app(cons(X0,nil),X1) != sK6
| ~ ssItem(X0)
| ~ lt(sK10(sK8),X0)
| ~ ssList(X1) )
| ~ spl61_79 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1335,plain,
( ~ spl61_65
| ~ spl61_69
| ~ spl61_71
| ~ spl61_74
| ~ spl61_78 ),
inference(avatar_split_clause,[],[f1334,f1329,f1274,f1215,f1160,f1108]) ).
fof(f1334,plain,
( ~ lt(sK16(sK9),sK14(sK9))
| ~ ssItem(sK16(sK9))
| ~ ssList(sK17(sK9))
| ~ spl61_74
| ~ spl61_78 ),
inference(trivial_inequality_removal,[],[f1333]) ).
fof(f1333,plain,
( ~ lt(sK16(sK9),sK14(sK9))
| sK6 != sK6
| ~ ssList(sK17(sK9))
| ~ ssItem(sK16(sK9))
| ~ spl61_74
| ~ spl61_78 ),
inference(superposition,[],[f1330,f1276]) ).
fof(f1276,plain,
( app(sK17(sK9),cons(sK16(sK9),nil)) = sK6
| ~ spl61_74 ),
inference(avatar_component_clause,[],[f1274]) ).
fof(f1330,plain,
( ! [X0,X1] :
( app(X1,cons(X0,nil)) != sK6
| ~ lt(X0,sK14(sK9))
| ~ ssList(X1)
| ~ ssItem(X0) )
| ~ spl61_78 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1100,plain,
spl61_61,
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| spl61_61 ),
inference(resolution,[],[f1087,f498]) ).
fof(f498,plain,
ssList(sK9),
inference(cnf_transformation,[],[f260]) ).
fof(f1087,plain,
( ~ ssList(sK9)
| spl61_61 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1098,plain,
spl61_60,
inference(avatar_contradiction_clause,[],[f1097]) ).
fof(f1097,plain,
( $false
| spl61_60 ),
inference(resolution,[],[f1083,f494]) ).
fof(f494,plain,
ssList(sK8),
inference(cnf_transformation,[],[f260]) ).
fof(f1083,plain,
( ~ ssList(sK8)
| spl61_60 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1077,plain,
( spl61_2
| ~ spl61_1
| spl61_52 ),
inference(avatar_split_clause,[],[f717,f1020,f786,f790]) ).
fof(f790,plain,
( spl61_2
<=> nil = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl61_2])]) ).
fof(f786,plain,
( spl61_1
<=> strictorderedP(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl61_1])]) ).
fof(f717,plain,
! [X14,X15] :
( ~ ssList(X15)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| ~ ssList(X14)
| ssItem(sK16(X15))
| nil = sK6 ),
inference(definition_unfolding,[],[f426,f491,f491,f491]) ).
fof(f491,plain,
sK4 = sK6,
inference(cnf_transformation,[],[f260]) ).
fof(f426,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1076,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_51 ),
inference(avatar_split_clause,[],[f680,f1014,f786,f811]) ).
fof(f811,plain,
( spl61_7
<=> nil = sK5 ),
introduced(avatar_definition,[new_symbols(naming,[spl61_7])]) ).
fof(f680,plain,
! [X14,X15] :
( ssList(sK13(X14))
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ~ ssList(X15)
| ssItem(sK14(X15)) ),
inference(definition_unfolding,[],[f463,f491,f491]) ).
fof(f463,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1075,plain,
( ~ spl61_1
| spl61_33
| spl61_2 ),
inference(avatar_split_clause,[],[f727,f790,f923,f786]) ).
fof(f727,plain,
! [X14,X15] :
( nil = sK6
| ~ ssList(X14)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f416,f491,f491,f491,f491]) ).
fof(f416,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1074,plain,
( ~ spl61_1
| spl61_2
| spl61_46 ),
inference(avatar_split_clause,[],[f687,f984,f790,f786]) ).
fof(f687,plain,
! [X14,X15] :
( ~ ssList(X15)
| ssList(sK17(X15))
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f456,f491,f491,f491,f491]) ).
fof(f456,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1073,plain,
( ~ spl61_7
| spl61_59
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f736,f786,f1067,f811]) ).
fof(f736,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15))
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| nil != sK5 ),
inference(definition_unfolding,[],[f407,f491,f491]) ).
fof(f407,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1072,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_23 ),
inference(avatar_split_clause,[],[f682,f879,f786,f811]) ).
fof(f682,plain,
! [X14,X15] :
( app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ ssList(X14)
| nil != sK5
| ssList(sK15(X15)) ),
inference(definition_unfolding,[],[f461,f491,f491,f491]) ).
fof(f461,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1071,plain,
( ~ spl61_1
| spl61_2
| spl61_54 ),
inference(avatar_split_clause,[],[f701,f1029,f790,f786]) ).
fof(f701,plain,
! [X14,X15] :
( ~ ssList(X15)
| ssList(sK17(X15))
| nil = sK6
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| lt(sK10(X14),sK12(X14))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f442,f491,f491,f491]) ).
fof(f442,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1070,plain,
( ~ spl61_1
| spl61_49
| spl61_2 ),
inference(avatar_split_clause,[],[f713,f790,f1000,f786]) ).
fof(f713,plain,
! [X14,X15] :
( nil = sK6
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X15)
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f430,f491,f491,f491,f491]) ).
fof(f430,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1069,plain,
( spl61_2
| ~ spl61_1
| spl61_59 ),
inference(avatar_split_clause,[],[f735,f1067,f786,f790]) ).
fof(f735,plain,
! [X14,X15] :
( app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| ssItem(sK14(X15))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| nil = sK6 ),
inference(definition_unfolding,[],[f408,f491,f491,f491]) ).
fof(f408,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1065,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_34 ),
inference(avatar_split_clause,[],[f684,f927,f811,f786]) ).
fof(f684,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| nil != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| lt(sK16(X15),sK14(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6 ),
inference(definition_unfolding,[],[f459,f491,f491,f491]) ).
fof(f459,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1064,plain,
( spl61_2
| ~ spl61_1
| spl61_43 ),
inference(avatar_split_clause,[],[f709,f968,f786,f790]) ).
fof(f709,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssList(sK15(X15))
| ~ strictorderedP(sK6)
| ~ ssList(X15)
| ssItem(sK12(X14))
| nil = sK6 ),
inference(definition_unfolding,[],[f434,f491,f491,f491]) ).
fof(f434,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1063,plain,
( ~ spl61_1
| spl61_2
| spl61_57 ),
inference(avatar_split_clause,[],[f729,f1056,f790,f786]) ).
fof(f729,plain,
! [X14,X15] :
( ~ ssList(X14)
| nil = sK6
| ssList(sK17(X15))
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f414,f491,f491,f491]) ).
fof(f414,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1058,plain,
( spl61_57
| ~ spl61_7
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f730,f786,f811,f1056]) ).
fof(f730,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| nil != sK5
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK17(X15))
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f413,f491,f491]) ).
fof(f413,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1054,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_15 ),
inference(avatar_split_clause,[],[f686,f844,f811,f786]) ).
fof(f686,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ~ strictorderedP(sK6)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f457,f491,f491,f491,f491]) ).
fof(f457,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1053,plain,
( ~ spl61_1
| spl61_39
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f700,f811,f950,f786]) ).
fof(f700,plain,
! [X14,X15] :
( nil != sK5
| app(app(X14,sK6),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f443,f491,f491,f491]) ).
fof(f443,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1052,plain,
( ~ spl61_1
| spl61_2
| spl61_32 ),
inference(avatar_split_clause,[],[f707,f919,f790,f786]) ).
fof(f707,plain,
! [X14,X15] :
( ~ ssList(X14)
| lt(sK10(X14),sK12(X14))
| ~ ssList(X15)
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ssItem(sK14(X15)) ),
inference(definition_unfolding,[],[f436,f491,f491,f491]) ).
fof(f436,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1051,plain,
( spl61_2
| spl61_38
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f665,f786,f946,f790]) ).
fof(f665,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK10(X14))
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| ssItem(sK14(X15)) ),
inference(definition_unfolding,[],[f478,f491,f491,f491]) ).
fof(f478,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1050,plain,
( ~ spl61_1
| spl61_2
| spl61_20 ),
inference(avatar_split_clause,[],[f677,f867,f790,f786]) ).
fof(f677,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| nil = sK6
| ~ strictorderedP(sK6)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ssList(sK13(X14)) ),
inference(definition_unfolding,[],[f466,f491,f491,f491]) ).
fof(f466,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1048,plain,
( spl61_2
| ~ spl61_1
| spl61_41 ),
inference(avatar_split_clause,[],[f689,f958,f786,f790]) ).
fof(f689,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15))
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| ~ ssList(X15)
| nil = sK6 ),
inference(definition_unfolding,[],[f454,f491,f491,f491,f491]) ).
fof(f454,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1047,plain,
( spl61_2
| spl61_36
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f657,f786,f936,f790]) ).
fof(f657,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| nil = sK6
| ~ ssList(X15)
| ssItem(sK10(X14)) ),
inference(definition_unfolding,[],[f486,f491,f491,f491,f491]) ).
fof(f486,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1046,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_44 ),
inference(avatar_split_clause,[],[f668,f972,f786,f811]) ).
fof(f668,plain,
! [X14,X15] :
( ssList(sK13(X14))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| nil != sK5
| ssList(sK15(X15))
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f475,f491,f491]) ).
fof(f475,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1044,plain,
( ~ spl61_7
| spl61_35
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f712,f786,f932,f811]) ).
fof(f712,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X14)
| nil != sK5
| ~ ssList(X15)
| ssItem(sK12(X14))
| lt(sK16(X15),sK14(X15))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f431,f491,f491]) ).
fof(f431,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1043,plain,
( ~ spl61_1
| spl61_2
| spl61_53 ),
inference(avatar_split_clause,[],[f747,f1024,f790,f786]) ).
fof(f747,plain,
! [X14,X15] :
( ssList(sK11(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| nil = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f396,f491,f491,f491]) ).
fof(f396,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1038,plain,
( spl61_2
| ~ spl61_1
| spl61_55 ),
inference(avatar_split_clause,[],[f695,f1034,f786,f790]) ).
fof(f695,plain,
! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ strictorderedP(sK6)
| nil = sK6
| ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK15(X15))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f448,f491,f491,f491]) ).
fof(f448,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1037,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_9 ),
inference(avatar_split_clause,[],[f704,f820,f786,f811]) ).
fof(f704,plain,
! [X14,X15] :
( ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| lt(sK10(X14),sK12(X14))
| ssItem(sK16(X15))
| nil != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f439,f491,f491]) ).
fof(f439,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1036,plain,
( ~ spl61_7
| spl61_55
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f696,f786,f1034,f811]) ).
fof(f696,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK15(X15))
| lt(sK10(X14),sK12(X14))
| nil != sK5 ),
inference(definition_unfolding,[],[f447,f491,f491]) ).
fof(f447,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1032,plain,
( ~ spl61_7
| spl61_28
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f660,f786,f900,f811]) ).
fof(f660,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ssItem(sK10(X14))
| ~ ssList(X15)
| ssList(sK17(X15)) ),
inference(definition_unfolding,[],[f483,f491,f491]) ).
fof(f483,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1031,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_54 ),
inference(avatar_split_clause,[],[f702,f1029,f786,f811]) ).
fof(f702,plain,
! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| nil != sK5
| ssList(sK17(X15))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f441,f491,f491]) ).
fof(f441,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1027,plain,
( ~ spl61_1
| spl61_50
| spl61_2 ),
inference(avatar_split_clause,[],[f741,f790,f1005,f786]) ).
fof(f741,plain,
! [X14,X15] :
( nil = sK6
| ~ ssList(X15)
| ssList(sK11(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f402,f491,f491,f491,f491]) ).
fof(f402,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1026,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_53 ),
inference(avatar_split_clause,[],[f748,f1024,f811,f786]) ).
fof(f748,plain,
! [X14,X15] :
( ~ ssList(X15)
| nil != sK5
| ~ strictorderedP(sK6)
| ssList(sK11(X14))
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15 ),
inference(definition_unfolding,[],[f395,f491,f491]) ).
fof(f395,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1022,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_52 ),
inference(avatar_split_clause,[],[f718,f1020,f811,f786]) ).
fof(f718,plain,
! [X14,X15] :
( ~ ssList(X15)
| ssItem(sK16(X15))
| ssItem(sK12(X14))
| nil != sK5
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f425,f491,f491]) ).
fof(f425,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1018,plain,
( ~ spl61_1
| spl61_2
| spl61_18 ),
inference(avatar_split_clause,[],[f721,f859,f790,f786]) ).
fof(f721,plain,
! [X14,X15] :
( ssItem(sK14(X15))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssItem(sK12(X14))
| ~ ssList(X15)
| nil = sK6
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f422,f491,f491,f491]) ).
fof(f422,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1017,plain,
( ~ spl61_1
| spl61_40
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f740,f811,f954,f786]) ).
fof(f740,plain,
! [X14,X15] :
( nil != sK5
| ~ ssList(X15)
| ssList(sK11(X14))
| lt(sK16(X15),sK14(X15))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f403,f491,f491]) ).
fof(f403,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1016,plain,
( ~ spl61_1
| spl61_2
| spl61_51 ),
inference(avatar_split_clause,[],[f679,f1014,f790,f786]) ).
fof(f679,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| nil = sK6
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| ssItem(sK14(X15)) ),
inference(definition_unfolding,[],[f464,f491,f491,f491]) ).
fof(f464,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1012,plain,
( spl61_2
| spl61_48
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f691,f786,f996,f790]) ).
fof(f691,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| nil = sK6
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f452,f491,f491,f491,f491]) ).
fof(f452,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1011,plain,
( spl61_2
| spl61_42
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f715,f786,f962,f790]) ).
fof(f715,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK17(X15))
| ssItem(sK12(X14))
| nil = sK6 ),
inference(definition_unfolding,[],[f428,f491,f491,f491]) ).
fof(f428,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1010,plain,
( spl61_30
| ~ spl61_1
| spl61_2 ),
inference(avatar_split_clause,[],[f737,f790,f786,f909]) ).
fof(f737,plain,
! [X14,X15] :
( nil = sK6
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK11(X14))
| ssList(sK15(X15))
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f406,f491,f491,f491]) ).
fof(f406,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1009,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_10 ),
inference(avatar_split_clause,[],[f672,f824,f811,f786]) ).
fof(f672,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| nil != sK5
| ~ strictorderedP(sK6)
| ssList(sK13(X14))
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f471,f491,f491,f491]) ).
fof(f471,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1008,plain,
( ~ spl61_1
| spl61_2
| spl61_47 ),
inference(avatar_split_clause,[],[f697,f992,f790,f786]) ).
fof(f697,plain,
! [X14,X15] :
( ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| lt(sK10(X14),sK12(X14))
| lt(sK16(X15),sK14(X15))
| nil = sK6
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f446,f491,f491,f491]) ).
fof(f446,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1007,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_50 ),
inference(avatar_split_clause,[],[f742,f1005,f811,f786]) ).
fof(f742,plain,
! [X14,X15] :
( ~ ssList(X14)
| nil != sK5
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| ssList(sK11(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK6 ),
inference(definition_unfolding,[],[f401,f491,f491,f491]) ).
fof(f401,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1003,plain,
( spl61_2
| ~ spl61_1
| spl61_26 ),
inference(avatar_split_clause,[],[f655,f891,f786,f790]) ).
fof(f655,plain,
! [X14,X15] :
( ~ ssList(X14)
| ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| ~ strictorderedP(sK6)
| nil = sK6
| ssItem(sK10(X14))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f488,f491,f491,f491]) ).
fof(f488,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f1002,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_49 ),
inference(avatar_split_clause,[],[f714,f1000,f786,f811]) ).
fof(f714,plain,
! [X14,X15] :
( app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5
| ssItem(sK12(X14))
| ~ strictorderedP(sK6)
| nil != sK5
| ~ ssList(X14)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f429,f491,f491,f491]) ).
fof(f429,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f998,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_48 ),
inference(avatar_split_clause,[],[f692,f996,f786,f811]) ).
fof(f692,plain,
! [X14,X15] :
( app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| nil != sK5
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f451,f491,f491,f491]) ).
fof(f451,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f994,plain,
( ~ spl61_1
| spl61_47
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f698,f811,f992,f786]) ).
fof(f698,plain,
! [X14,X15] :
( nil != sK5
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| lt(sK10(X14),sK12(X14))
| ~ strictorderedP(sK6)
| lt(sK16(X15),sK14(X15)) ),
inference(definition_unfolding,[],[f445,f491,f491]) ).
fof(f445,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f990,plain,
( spl61_2
| spl61_19
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f669,f786,f863,f790]) ).
fof(f669,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| lt(sK16(X15),sK14(X15))
| nil = sK6
| ssList(sK13(X14)) ),
inference(definition_unfolding,[],[f474,f491,f491,f491]) ).
fof(f474,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f989,plain,
( ~ spl61_1
| spl61_2
| spl61_12 ),
inference(avatar_split_clause,[],[f705,f832,f790,f786]) ).
fof(f705,plain,
! [X14,X15] :
( app(cons(sK14(X15),nil),sK15(X15)) = X15
| lt(sK10(X14),sK12(X14))
| nil = sK6
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f438,f491,f491,f491]) ).
fof(f438,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f988,plain,
( ~ spl61_1
| spl61_2
| spl61_45 ),
inference(avatar_split_clause,[],[f661,f977,f790,f786]) ).
fof(f661,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| nil = sK6
| ssItem(sK16(X15))
| ssItem(sK10(X14))
| ~ strictorderedP(sK6)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f482,f491,f491,f491]) ).
fof(f482,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f987,plain,
( spl61_2
| ~ spl61_1
| spl61_8 ),
inference(avatar_split_clause,[],[f693,f815,f786,f790]) ).
fof(f693,plain,
! [X14,X15] :
( app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| nil = sK6
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK14(X15)) ),
inference(definition_unfolding,[],[f450,f491,f491,f491,f491]) ).
fof(f450,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f986,plain,
( ~ spl61_1
| spl61_46
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f688,f811,f984,f786]) ).
fof(f688,plain,
! [X14,X15] :
( nil != sK5
| ~ ssList(X14)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssList(sK17(X15))
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f455,f491,f491,f491]) ).
fof(f455,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f982,plain,
( spl61_2
| spl61_22
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f719,f786,f875,f790]) ).
fof(f719,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ssItem(sK12(X14))
| nil = sK6
| ~ ssList(X14)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f424,f491,f491,f491]) ).
fof(f424,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f981,plain,
( ~ spl61_1
| spl61_11
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f664,f811,f828,f786]) ).
fof(f664,plain,
! [X14,X15] :
( nil != sK5
| ssItem(sK10(X14))
| ~ ssList(X14)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f479,f491,f491]) ).
fof(f479,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f980,plain,
( ~ spl61_1
| spl61_2
| spl61_21 ),
inference(avatar_split_clause,[],[f733,f871,f790,f786]) ).
fof(f733,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(app(X14,sK6),X15) != sK5
| nil = sK6
| ~ strictorderedP(sK6)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f410,f491,f491,f491]) ).
fof(f410,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f979,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_45 ),
inference(avatar_split_clause,[],[f662,f977,f811,f786]) ).
fof(f662,plain,
! [X14,X15] :
( ssItem(sK10(X14))
| ssItem(sK16(X15))
| nil != sK5
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f481,f491,f491]) ).
fof(f481,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f975,plain,
( ~ spl61_1
| spl61_13
| spl61_2 ),
inference(avatar_split_clause,[],[f673,f790,f836,f786]) ).
fof(f673,plain,
! [X14,X15] :
( nil = sK6
| ssList(sK17(X15))
| ~ strictorderedP(sK6)
| ssList(sK13(X14))
| ~ ssList(X15)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f470,f491,f491,f491]) ).
fof(f470,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f974,plain,
( spl61_2
| ~ spl61_1
| spl61_44 ),
inference(avatar_split_clause,[],[f667,f972,f786,f790]) ).
fof(f667,plain,
! [X14,X15] :
( ssList(sK13(X14))
| ~ ssList(X15)
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ssList(sK15(X15))
| nil = sK6 ),
inference(definition_unfolding,[],[f476,f491,f491,f491]) ).
fof(f476,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f970,plain,
( ~ spl61_1
| spl61_43
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f710,f811,f968,f786]) ).
fof(f710,plain,
! [X14,X15] :
( nil != sK5
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| ssList(sK15(X15))
| ~ ssList(X15)
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f433,f491,f491]) ).
fof(f433,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f966,plain,
( spl61_7
| ~ spl61_2 ),
inference(avatar_split_clause,[],[f651,f790,f811]) ).
fof(f651,plain,
( nil != sK6
| nil = sK5 ),
inference(definition_unfolding,[],[f493,f500]) ).
fof(f493,plain,
( nil = sK7
| nil != sK6 ),
inference(cnf_transformation,[],[f260]) ).
fof(f965,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_37 ),
inference(avatar_split_clause,[],[f744,f941,f786,f811]) ).
fof(f744,plain,
! [X14,X15] :
( ssList(sK11(X14))
| ssList(sK17(X15))
| ~ strictorderedP(sK6)
| nil != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f399,f491,f491]) ).
fof(f399,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f964,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_42 ),
inference(avatar_split_clause,[],[f716,f962,f811,f786]) ).
fof(f716,plain,
! [X14,X15] :
( ~ ssList(X14)
| nil != sK5
| ~ ssList(X15)
| ssList(sK17(X15))
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ssItem(sK12(X14)) ),
inference(definition_unfolding,[],[f427,f491,f491]) ).
fof(f427,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f960,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_41 ),
inference(avatar_split_clause,[],[f690,f958,f811,f786]) ).
fof(f690,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| nil != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ strictorderedP(sK6)
| ssItem(sK16(X15))
| ~ ssList(X14)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f453,f491,f491,f491]) ).
fof(f453,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f956,plain,
( spl61_2
| ~ spl61_1
| spl61_40 ),
inference(avatar_split_clause,[],[f739,f954,f786,f790]) ).
fof(f739,plain,
! [X14,X15] :
( lt(sK16(X15),sK14(X15))
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f404,f491,f491,f491]) ).
fof(f404,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f952,plain,
( spl61_2
| spl61_39
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f699,f786,f950,f790]) ).
fof(f699,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| lt(sK10(X14),sK12(X14))
| app(app(X14,sK6),X15) != sK5
| nil = sK6
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X14)
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f444,f491,f491,f491,f491]) ).
fof(f444,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f948,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_38 ),
inference(avatar_split_clause,[],[f666,f946,f786,f811]) ).
fof(f666,plain,
! [X14,X15] :
( ssItem(sK14(X15))
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssItem(sK10(X14))
| ~ ssList(X15)
| nil != sK5 ),
inference(definition_unfolding,[],[f477,f491,f491]) ).
fof(f477,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f944,plain,
spl61_1,
inference(avatar_split_clause,[],[f499,f786]) ).
fof(f499,plain,
strictorderedP(sK6),
inference(cnf_transformation,[],[f260]) ).
fof(f943,plain,
( spl61_2
| spl61_37
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f743,f786,f941,f790]) ).
fof(f743,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ssList(sK17(X15))
| ~ ssList(X15)
| ssList(sK11(X14))
| ~ ssList(X14)
| nil = sK6 ),
inference(definition_unfolding,[],[f400,f491,f491,f491]) ).
fof(f400,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f939,plain,
( ~ spl61_1
| spl61_25
| ~ spl61_7 ),
inference(avatar_split_clause,[],[f726,f811,f887,f786]) ).
fof(f726,plain,
! [X14,X15] :
( nil != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| lt(sK16(X15),sK14(X15))
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f417,f491,f491]) ).
fof(f417,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f938,plain,
( ~ spl61_7
| spl61_36
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f658,f786,f936,f811]) ).
fof(f658,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X15)
| ~ ssList(X14)
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ssItem(sK10(X14)) ),
inference(definition_unfolding,[],[f485,f491,f491,f491]) ).
fof(f485,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f934,plain,
( spl61_2
| ~ spl61_1
| spl61_35 ),
inference(avatar_split_clause,[],[f711,f932,f786,f790]) ).
fof(f711,plain,
! [X14,X15] :
( ~ ssList(X14)
| ~ strictorderedP(sK6)
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| nil = sK6
| ssItem(sK12(X14))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f432,f491,f491,f491]) ).
fof(f432,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f930,plain,
( spl61_2
| ~ spl61_1
| spl61_29 ),
inference(avatar_split_clause,[],[f723,f905,f786,f790]) ).
fof(f723,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| nil = sK6
| ~ ssList(X15)
| ~ ssList(X14)
| ssList(sK15(X15))
| app(sK11(X14),cons(sK10(X14),nil)) = X14 ),
inference(definition_unfolding,[],[f420,f491,f491,f491]) ).
fof(f420,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f929,plain,
( ~ spl61_1
| spl61_34
| spl61_2 ),
inference(avatar_split_clause,[],[f683,f790,f927,f786]) ).
fof(f683,plain,
! [X14,X15] :
( nil = sK6
| ~ ssList(X15)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| lt(sK16(X15),sK14(X15)) ),
inference(definition_unfolding,[],[f460,f491,f491,f491,f491]) ).
fof(f460,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f925,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_33 ),
inference(avatar_split_clause,[],[f728,f923,f811,f786]) ).
fof(f728,plain,
! [X14,X15] :
( ~ ssList(X15)
| nil != sK5
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f415,f491,f491,f491]) ).
fof(f415,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f921,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_32 ),
inference(avatar_split_clause,[],[f708,f919,f786,f811]) ).
fof(f708,plain,
! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ strictorderedP(sK6)
| nil != sK5
| ssItem(sK14(X15))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f435,f491,f491]) ).
fof(f435,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f912,plain,
( spl61_2
| spl61_24
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f675,f786,f883,f790]) ).
fof(f675,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X14)
| ssList(sK13(X14))
| nil = sK6
| ssItem(sK16(X15)) ),
inference(definition_unfolding,[],[f468,f491,f491,f491]) ).
fof(f468,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f911,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_30 ),
inference(avatar_split_clause,[],[f738,f909,f786,f811]) ).
fof(f738,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ssList(sK15(X15))
| nil != sK5
| ~ ssList(X15)
| ssList(sK11(X14)) ),
inference(definition_unfolding,[],[f405,f491,f491]) ).
fof(f405,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f907,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_29 ),
inference(avatar_split_clause,[],[f724,f905,f786,f811]) ).
fof(f724,plain,
! [X14,X15] :
( ~ ssList(X14)
| ~ ssList(X15)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK15(X15))
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| nil != sK5 ),
inference(definition_unfolding,[],[f419,f491,f491]) ).
fof(f419,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f903,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_27 ),
inference(avatar_split_clause,[],[f746,f895,f811,f786]) ).
fof(f746,plain,
! [X14,X15] :
( ssList(sK11(X14))
| nil != sK5
| app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ ssList(X14)
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f397,f491,f491]) ).
fof(f397,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f902,plain,
( ~ spl61_1
| spl61_28
| spl61_2 ),
inference(avatar_split_clause,[],[f659,f790,f900,f786]) ).
fof(f659,plain,
! [X14,X15] :
( nil = sK6
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ~ strictorderedP(sK6)
| ssItem(sK10(X14))
| ssList(sK17(X15)) ),
inference(definition_unfolding,[],[f484,f491,f491,f491]) ).
fof(f484,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f898,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_14 ),
inference(avatar_split_clause,[],[f654,f840,f811,f786]) ).
fof(f654,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| nil != sK5
| ssList(sK15(X15))
| ~ strictorderedP(sK6)
| ssItem(sK10(X14)) ),
inference(definition_unfolding,[],[f489,f491,f491]) ).
fof(f489,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f897,plain,
( ~ spl61_1
| spl61_2
| spl61_27 ),
inference(avatar_split_clause,[],[f745,f895,f790,f786]) ).
fof(f745,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| nil = sK6
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f398,f491,f491,f491]) ).
fof(f398,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f893,plain,
( ~ spl61_7
| spl61_26
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f656,f786,f891,f811]) ).
fof(f656,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| lt(sK16(X15),sK14(X15))
| ~ ssList(X14)
| ssItem(sK10(X14)) ),
inference(definition_unfolding,[],[f487,f491,f491]) ).
fof(f487,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f889,plain,
( spl61_2
| ~ spl61_1
| spl61_25 ),
inference(avatar_split_clause,[],[f725,f887,f786,f790]) ).
fof(f725,plain,
! [X14,X15] :
( ~ ssList(X15)
| ~ ssList(X14)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| lt(sK16(X15),sK14(X15))
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| nil = sK6 ),
inference(definition_unfolding,[],[f418,f491,f491,f491]) ).
fof(f418,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f885,plain,
( ~ spl61_7
| spl61_24
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f676,f786,f883,f811]) ).
fof(f676,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| ssItem(sK16(X15))
| ssList(sK13(X14))
| ~ ssList(X15)
| nil != sK5
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f467,f491,f491]) ).
fof(f467,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f881,plain,
( spl61_2
| spl61_23
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f681,f786,f879,f790]) ).
fof(f681,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| nil = sK6
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ssList(sK15(X15))
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f462,f491,f491,f491,f491]) ).
fof(f462,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f877,plain,
( ~ spl61_7
| spl61_22
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f720,f786,f875,f811]) ).
fof(f720,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ~ ssList(X14)
| nil != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ssItem(sK12(X14))
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f423,f491,f491]) ).
fof(f423,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f873,plain,
( ~ spl61_7
| spl61_21
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f734,f786,f871,f811]) ).
fof(f734,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ~ ssList(X15)
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f409,f491,f491]) ).
fof(f409,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f869,plain,
( spl61_20
| ~ spl61_7
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f678,f786,f811,f867]) ).
fof(f678,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| nil != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14)
| ~ ssList(X15)
| ssList(sK13(X14))
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f465,f491,f491]) ).
fof(f465,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f865,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_19 ),
inference(avatar_split_clause,[],[f670,f863,f811,f786]) ).
fof(f670,plain,
! [X14,X15] :
( ssList(sK13(X14))
| lt(sK16(X15),sK14(X15))
| nil != sK5
| ~ ssList(X15)
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f473,f491,f491]) ).
fof(f473,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| lt(sK16(X15),sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f861,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_18 ),
inference(avatar_split_clause,[],[f722,f859,f786,f811]) ).
fof(f722,plain,
! [X14,X15] :
( ssItem(sK14(X15))
| ssItem(sK12(X14))
| ~ strictorderedP(sK6)
| nil != sK5
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f421,f491,f491]) ).
fof(f421,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK12(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f847,plain,
( ~ spl61_7
| spl61_3
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f750,f786,f794,f811]) ).
fof(f750,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| ssItem(sK14(X15))
| ~ ssList(X14)
| ssList(sK11(X14))
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| nil != sK5 ),
inference(definition_unfolding,[],[f393,f491,f491]) ).
fof(f393,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f846,plain,
( spl61_15
| spl61_2
| ~ spl61_1 ),
inference(avatar_split_clause,[],[f685,f786,f790,f844]) ).
fof(f685,plain,
! [X14,X15] :
( ~ strictorderedP(sK6)
| nil = sK6
| ~ ssList(X14)
| ~ ssList(X15)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| app(sK17(X15),cons(sK16(X15),nil)) = sK6
| app(app(X14,sK6),X15) != sK5 ),
inference(definition_unfolding,[],[f458,f491,f491,f491,f491,f491]) ).
fof(f458,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f842,plain,
( ~ spl61_1
| spl61_2
| spl61_14 ),
inference(avatar_split_clause,[],[f653,f840,f790,f786]) ).
fof(f653,plain,
! [X14,X15] :
( ssList(sK15(X15))
| nil = sK6
| ssItem(sK10(X14))
| ~ ssList(X14)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f490,f491,f491,f491]) ).
fof(f490,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| ssList(sK15(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f838,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_13 ),
inference(avatar_split_clause,[],[f674,f836,f811,f786]) ).
fof(f674,plain,
! [X14,X15] :
( ~ ssList(X15)
| nil != sK5
| ~ strictorderedP(sK6)
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ssList(sK13(X14))
| ssList(sK17(X15)) ),
inference(definition_unfolding,[],[f469,f491,f491]) ).
fof(f469,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| ssList(sK17(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f834,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_12 ),
inference(avatar_split_clause,[],[f706,f832,f811,f786]) ).
fof(f706,plain,
! [X14,X15] :
( ~ ssList(X14)
| nil != sK5
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ strictorderedP(sK6)
| ~ ssList(X15)
| app(app(X14,sK6),X15) != sK5
| lt(sK10(X14),sK12(X14)) ),
inference(definition_unfolding,[],[f437,f491,f491]) ).
fof(f437,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f830,plain,
( spl61_2
| ~ spl61_1
| spl61_11 ),
inference(avatar_split_clause,[],[f663,f828,f786,f790]) ).
fof(f663,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ssItem(sK10(X14))
| ~ ssList(X15)
| nil = sK6
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f480,f491,f491,f491]) ).
fof(f480,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssItem(sK10(X14))
| app(cons(sK14(X15),nil),sK15(X15)) = X15
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f826,plain,
( ~ spl61_1
| spl61_2
| spl61_10 ),
inference(avatar_split_clause,[],[f671,f824,f790,f786]) ).
fof(f671,plain,
! [X14,X15] :
( app(sK17(X15),cons(sK16(X15),nil)) = sK6
| ~ ssList(X15)
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ssList(sK13(X14))
| ~ ssList(X14) ),
inference(definition_unfolding,[],[f472,f491,f491,f491,f491]) ).
fof(f472,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK13(X14))
| app(sK17(X15),cons(sK16(X15),nil)) = sK4
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f822,plain,
( spl61_2
| ~ spl61_1
| spl61_9 ),
inference(avatar_split_clause,[],[f703,f820,f786,f790]) ).
fof(f703,plain,
! [X14,X15] :
( lt(sK10(X14),sK12(X14))
| ~ ssList(X14)
| ~ strictorderedP(sK6)
| nil = sK6
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15)
| ssItem(sK16(X15)) ),
inference(definition_unfolding,[],[f440,f491,f491,f491]) ).
fof(f440,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| lt(sK10(X14),sK12(X14))
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f818,plain,
( ~ spl61_7
| ~ spl61_1
| spl61_6 ),
inference(avatar_split_clause,[],[f732,f807,f786,f811]) ).
fof(f732,plain,
! [X14,X15] :
( app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X14)
| ssItem(sK16(X15))
| app(app(X14,sK6),X15) != sK5
| ~ strictorderedP(sK6)
| ~ ssList(X15)
| nil != sK5 ),
inference(definition_unfolding,[],[f411,f491,f491]) ).
fof(f411,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f817,plain,
( ~ spl61_1
| ~ spl61_7
| spl61_8 ),
inference(avatar_split_clause,[],[f694,f815,f811,f786]) ).
fof(f694,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(cons(sK12(X14),nil),sK13(X14)) = sK6
| ssItem(sK14(X15))
| app(app(X14,sK6),X15) != sK5
| nil != sK5
| ~ ssList(X15)
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f449,f491,f491,f491]) ).
fof(f449,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(cons(sK12(X14),nil),sK13(X14)) = sK4
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil != sK5 ),
inference(cnf_transformation,[],[f260]) ).
fof(f809,plain,
( ~ spl61_1
| spl61_2
| spl61_6 ),
inference(avatar_split_clause,[],[f731,f807,f790,f786]) ).
fof(f731,plain,
! [X14,X15] :
( ssItem(sK16(X15))
| nil = sK6
| ~ strictorderedP(sK6)
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ~ ssList(X14)
| app(app(X14,sK6),X15) != sK5
| ~ ssList(X15) ),
inference(definition_unfolding,[],[f412,f491,f491,f491]) ).
fof(f412,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| app(sK11(X14),cons(sK10(X14),nil)) = X14
| ssItem(sK16(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
fof(f796,plain,
( ~ spl61_1
| spl61_2
| spl61_3 ),
inference(avatar_split_clause,[],[f749,f794,f790,f786]) ).
fof(f749,plain,
! [X14,X15] :
( app(app(X14,sK6),X15) != sK5
| ssList(sK11(X14))
| nil = sK6
| ~ ssList(X14)
| ~ ssList(X15)
| ssItem(sK14(X15))
| ~ strictorderedP(sK6) ),
inference(definition_unfolding,[],[f394,f491,f491,f491]) ).
fof(f394,plain,
! [X14,X15] :
( ~ ssList(X14)
| app(app(X14,sK4),X15) != sK5
| ssList(sK11(X14))
| ssItem(sK14(X15))
| ~ ssList(X15)
| ~ strictorderedP(sK4)
| nil = sK4 ),
inference(cnf_transformation,[],[f260]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWC344+1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:51:15 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.49 % (21348)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.51 % (21365)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.51 % (21357)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.52 % (21357)Instruction limit reached!
% 0.21/0.52 % (21357)------------------------------
% 0.21/0.52 % (21357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (21357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (21357)Termination reason: Unknown
% 0.21/0.52 % (21357)Termination phase: Naming
% 0.21/0.52
% 0.21/0.52 % (21357)Memory used [KB]: 1535
% 0.21/0.52 % (21357)Time elapsed: 0.005 s
% 0.21/0.52 % (21357)Instructions burned: 3 (million)
% 0.21/0.52 % (21357)------------------------------
% 0.21/0.52 % (21357)------------------------------
% 1.29/0.53 % (21342)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.29/0.53 % (21340)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.54 % (21341)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.54 % (21351)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.29/0.54 % (21345)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.29/0.54 % (21343)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.29/0.54 % (21353)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.29/0.54 % (21362)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.29/0.54 % (21359)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.29/0.54 % (21349)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.29/0.54 % (21348)Instruction limit reached!
% 1.29/0.54 % (21348)------------------------------
% 1.29/0.54 % (21348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (21348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54 % (21348)Termination reason: Unknown
% 1.29/0.54 % (21348)Termination phase: Saturation
% 1.29/0.54
% 1.29/0.54 % (21348)Memory used [KB]: 6908
% 1.29/0.54 % (21348)Time elapsed: 0.129 s
% 1.29/0.54 % (21348)Instructions burned: 33 (million)
% 1.29/0.54 % (21348)------------------------------
% 1.29/0.54 % (21348)------------------------------
% 1.29/0.54 % (21350)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.54 % (21339)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.44/0.55 % (21347)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.44/0.55 % (21361)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 1.44/0.55 % (21354)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55 % (21350)Instruction limit reached!
% 1.44/0.55 % (21350)------------------------------
% 1.44/0.55 % (21350)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (21349)Instruction limit reached!
% 1.44/0.55 % (21349)------------------------------
% 1.44/0.55 % (21349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (21360)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.55 % (21346)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.44/0.55 % (21366)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.44/0.55 % (21363)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.55 % (21358)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.44/0.55 % (21340)Instruction limit reached!
% 1.44/0.55 % (21340)------------------------------
% 1.44/0.55 % (21340)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (21367)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.44/0.55 % (21343)Instruction limit reached!
% 1.44/0.55 % (21343)------------------------------
% 1.44/0.55 % (21343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (21353)Instruction limit reached!
% 1.44/0.55 % (21353)------------------------------
% 1.44/0.55 % (21353)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (21353)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (21353)Termination reason: Unknown
% 1.44/0.55 % (21353)Termination phase: Preprocessing 2
% 1.44/0.55
% 1.44/0.55 % (21353)Memory used [KB]: 1663
% 1.44/0.55 % (21353)Time elapsed: 0.004 s
% 1.44/0.55 % (21353)Instructions burned: 3 (million)
% 1.44/0.55 % (21353)------------------------------
% 1.44/0.55 % (21353)------------------------------
% 1.44/0.56 % (21355)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.44/0.56 % (21344)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.44/0.56 % (21364)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.44/0.56 % (21368)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.44/0.56 % (21367)Instruction limit reached!
% 1.44/0.56 % (21367)------------------------------
% 1.44/0.56 % (21367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (21341)Instruction limit reached!
% 1.44/0.56 % (21341)------------------------------
% 1.44/0.56 % (21341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (21341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (21341)Termination reason: Unknown
% 1.44/0.56 % (21341)Termination phase: Preprocessing 3
% 1.44/0.56
% 1.44/0.56 % (21341)Memory used [KB]: 1663
% 1.44/0.56 % (21341)Time elapsed: 0.003 s
% 1.44/0.56 % (21341)Instructions burned: 3 (million)
% 1.44/0.56 % (21341)------------------------------
% 1.44/0.56 % (21341)------------------------------
% 1.44/0.56 % (21356)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.44/0.56 % (21349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (21349)Termination reason: Unknown
% 1.44/0.56 % (21349)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (21349)Memory used [KB]: 6396
% 1.44/0.56 % (21349)Time elapsed: 0.136 s
% 1.44/0.56 % (21349)Instructions burned: 14 (million)
% 1.44/0.56 % (21349)------------------------------
% 1.44/0.56 % (21349)------------------------------
% 1.44/0.56 % (21352)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.44/0.56 % (21350)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (21350)Termination reason: Unknown
% 1.44/0.56 % (21350)Termination phase: Saturation
% 1.44/0.56
% 1.44/0.56 % (21354)Instruction limit reached!
% 1.44/0.56 % (21354)------------------------------
% 1.44/0.56 % (21354)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (21354)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (21354)Termination reason: Unknown
% 1.44/0.56 % (21354)Termination phase: Function definition elimination
% 1.44/0.56
% 1.44/0.56 % (21354)Memory used [KB]: 1918
% 1.44/0.56 % (21354)Time elapsed: 0.006 s
% 1.44/0.56 % (21354)Instructions burned: 9 (million)
% 1.44/0.56 % (21354)------------------------------
% 1.44/0.56 % (21354)------------------------------
% 1.44/0.56 % (21350)Memory used [KB]: 6268
% 1.44/0.56 % (21350)Time elapsed: 0.005 s
% 1.44/0.56 % (21350)Instructions burned: 8 (million)
% 1.44/0.56 % (21350)------------------------------
% 1.44/0.56 % (21350)------------------------------
% 1.44/0.56 % (21351)Instruction limit reached!
% 1.44/0.56 % (21351)------------------------------
% 1.44/0.56 % (21351)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.56 % (21340)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.56 % (21340)Termination reason: Unknown
% 1.44/0.57 % (21367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (21367)Termination reason: Unknown
% 1.44/0.57 % (21367)Termination phase: Function definition elimination
% 1.44/0.57
% 1.44/0.57 % (21367)Memory used [KB]: 1918
% 1.44/0.57 % (21367)Time elapsed: 0.006 s
% 1.44/0.57 % (21367)Instructions burned: 9 (million)
% 1.44/0.57 % (21367)------------------------------
% 1.44/0.57 % (21367)------------------------------
% 1.44/0.57 % (21358)Instruction limit reached!
% 1.44/0.57 % (21358)------------------------------
% 1.44/0.57 % (21358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (21343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (21343)Termination reason: Unknown
% 1.44/0.57 % (21343)Termination phase: Saturation
% 1.44/0.57
% 1.44/0.57 % (21343)Memory used [KB]: 6268
% 1.44/0.57 % (21343)Time elapsed: 0.007 s
% 1.44/0.57 % (21343)Instructions burned: 14 (million)
% 1.44/0.57 % (21343)------------------------------
% 1.44/0.57 % (21343)------------------------------
% 1.44/0.57 % (21358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.57 % (21358)Termination reason: Unknown
% 1.44/0.57 % (21358)Termination phase: Saturation
% 1.44/0.57
% 1.44/0.57 % (21358)Memory used [KB]: 6396
% 1.44/0.57 % (21358)Time elapsed: 0.159 s
% 1.44/0.57 % (21358)Instructions burned: 11 (million)
% 1.44/0.57 % (21358)------------------------------
% 1.44/0.57 % (21358)------------------------------
% 1.44/0.57 % (21356)Instruction limit reached!
% 1.44/0.57 % (21356)------------------------------
% 1.44/0.57 % (21356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.57 % (21340)Termination phase: Saturation
% 1.44/0.57
% 1.44/0.57 % (21340)Memory used [KB]: 2046
% 1.44/0.57 % (21340)Time elapsed: 0.008 s
% 1.44/0.57 % (21340)Instructions burned: 14 (million)
% 1.44/0.57 % (21340)------------------------------
% 1.44/0.57 % (21340)------------------------------
% 1.44/0.58 % (21356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (21356)Termination reason: Unknown
% 1.44/0.58 % (21356)Termination phase: Naming
% 1.44/0.58
% 1.44/0.58 % (21356)Memory used [KB]: 1663
% 1.44/0.58 % (21356)Time elapsed: 0.004 s
% 1.44/0.58 % (21356)Instructions burned: 3 (million)
% 1.44/0.58 % (21356)------------------------------
% 1.44/0.58 % (21356)------------------------------
% 1.44/0.58 % (21344)Instruction limit reached!
% 1.44/0.58 % (21344)------------------------------
% 1.44/0.58 % (21344)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (21344)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (21344)Termination reason: Unknown
% 1.44/0.58 % (21344)Termination phase: Saturation
% 1.44/0.58
% 1.44/0.58 % (21344)Memory used [KB]: 1791
% 1.44/0.58 % (21344)Time elapsed: 0.146 s
% 1.44/0.58 % (21344)Instructions burned: 15 (million)
% 1.44/0.58 % (21344)------------------------------
% 1.44/0.58 % (21344)------------------------------
% 1.44/0.58 % (21366)Instruction limit reached!
% 1.44/0.58 % (21366)------------------------------
% 1.44/0.58 % (21366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.58 % (21351)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.58 % (21351)Termination reason: Unknown
% 1.44/0.58 % (21351)Termination phase: Saturation
% 1.44/0.58
% 1.44/0.58 % (21351)Memory used [KB]: 2046
% 1.44/0.58 % (21351)Time elapsed: 0.008 s
% 1.44/0.58 % (21351)Instructions burned: 16 (million)
% 1.44/0.58 % (21351)------------------------------
% 1.44/0.58 % (21351)------------------------------
% 1.44/0.59 % (21366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.59 % (21366)Termination reason: Unknown
% 1.44/0.59 % (21366)Termination phase: Saturation
% 1.44/0.59
% 1.44/0.59 % (21366)Memory used [KB]: 6652
% 1.44/0.59 % (21366)Time elapsed: 0.154 s
% 1.44/0.59 % (21366)Instructions burned: 25 (million)
% 1.44/0.59 % (21366)------------------------------
% 1.44/0.59 % (21366)------------------------------
% 1.44/0.59 % (21359)Instruction limit reached!
% 1.44/0.59 % (21359)------------------------------
% 1.44/0.59 % (21359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.59 % (21368)Instruction limit reached!
% 1.44/0.59 % (21368)------------------------------
% 1.44/0.59 % (21368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.60 % (21361)First to succeed.
% 1.44/0.60 % (21359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.60 % (21359)Termination reason: Unknown
% 1.44/0.60 % (21359)Termination phase: Saturation
% 1.44/0.60
% 1.44/0.60 % (21359)Memory used [KB]: 6652
% 1.44/0.60 % (21359)Time elapsed: 0.157 s
% 1.44/0.60 % (21359)Instructions burned: 31 (million)
% 1.44/0.60 % (21359)------------------------------
% 1.44/0.60 % (21359)------------------------------
% 1.44/0.60 % (21368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.60 % (21368)Termination reason: Unknown
% 1.44/0.60 % (21368)Termination phase: Saturation
% 1.44/0.60
% 1.44/0.60 % (21368)Memory used [KB]: 6396
% 1.44/0.60 % (21368)Time elapsed: 0.013 s
% 1.44/0.60 % (21368)Instructions burned: 25 (million)
% 1.44/0.60 % (21368)------------------------------
% 1.44/0.60 % (21368)------------------------------
% 1.44/0.60 % (21362)Instruction limit reached!
% 1.44/0.60 % (21362)------------------------------
% 1.44/0.60 % (21362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.61 % (21345)Instruction limit reached!
% 1.44/0.61 % (21345)------------------------------
% 1.44/0.61 % (21345)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62 % (21346)Instruction limit reached!
% 1.44/0.62 % (21346)------------------------------
% 1.44/0.62 % (21346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.62 % (21346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62 % (21346)Termination reason: Unknown
% 1.44/0.62 % (21346)Termination phase: Saturation
% 1.44/0.62
% 1.44/0.62 % (21346)Memory used [KB]: 6780
% 1.44/0.62 % (21346)Time elapsed: 0.195 s
% 1.44/0.62 % (21346)Instructions burned: 39 (million)
% 1.44/0.62 % (21346)------------------------------
% 1.44/0.62 % (21346)------------------------------
% 1.44/0.62 % (21362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.62 % (21362)Termination reason: Unknown
% 1.44/0.62 % (21362)Termination phase: Saturation
% 1.44/0.62
% 1.44/0.62 % (21362)Memory used [KB]: 2430
% 1.44/0.62 % (21362)Time elapsed: 0.193 s
% 1.44/0.62 % (21362)Instructions burned: 46 (million)
% 1.44/0.62 % (21362)------------------------------
% 1.44/0.62 % (21362)------------------------------
% 1.44/0.63 % (21347)Instruction limit reached!
% 1.44/0.63 % (21347)------------------------------
% 1.44/0.63 % (21347)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.63 % (21347)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.63 % (21347)Termination reason: Unknown
% 1.44/0.63 % (21347)Termination phase: Saturation
% 1.44/0.63
% 1.44/0.63 % (21347)Memory used [KB]: 7164
% 1.44/0.63 % (21347)Time elapsed: 0.211 s
% 1.44/0.63 % (21347)Instructions burned: 50 (million)
% 1.44/0.63 % (21347)------------------------------
% 1.44/0.63 % (21347)------------------------------
% 1.98/0.63 % (21345)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (21345)Termination reason: Unknown
% 1.98/0.63 % (21345)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (21345)Memory used [KB]: 6652
% 1.98/0.63 % (21345)Time elapsed: 0.175 s
% 1.98/0.63 % (21345)Instructions burned: 40 (million)
% 1.98/0.63 % (21345)------------------------------
% 1.98/0.63 % (21345)------------------------------
% 1.98/0.63 % (21342)Instruction limit reached!
% 1.98/0.63 % (21342)------------------------------
% 1.98/0.63 % (21342)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63 % (21342)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63 % (21342)Termination reason: Unknown
% 1.98/0.63 % (21342)Termination phase: Saturation
% 1.98/0.63
% 1.98/0.63 % (21342)Memory used [KB]: 7291
% 1.98/0.63 % (21342)Time elapsed: 0.195 s
% 1.98/0.63 % (21342)Instructions burned: 52 (million)
% 1.98/0.63 % (21342)------------------------------
% 1.98/0.63 % (21342)------------------------------
% 1.98/0.63 % (21369)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 1.98/0.64 % (21361)Refutation found. Thanks to Tanya!
% 1.98/0.64 % SZS status Theorem for theBenchmark
% 1.98/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 1.98/0.64 % (21361)------------------------------
% 1.98/0.64 % (21361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64 % (21361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64 % (21361)Termination reason: Refutation
% 1.98/0.64
% 1.98/0.64 % (21361)Memory used [KB]: 7164
% 1.98/0.64 % (21361)Time elapsed: 0.168 s
% 1.98/0.64 % (21361)Instructions burned: 44 (million)
% 1.98/0.64 % (21361)------------------------------
% 1.98/0.64 % (21361)------------------------------
% 1.98/0.64 % (21338)Success in time 0.285 s
%------------------------------------------------------------------------------