TSTP Solution File: SWC119-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC119-1 : 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_sat --cores 0 -t %d %s
% Computer : n021.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 18:41:51 EDT 2022
% Result : Unsatisfiable 46.56s 6.27s
% Output : Refutation 46.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 375
% Syntax : Number of formulae : 1321 ( 63 unt; 0 def)
% Number of atoms : 5297 ( 668 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 7613 (3637 ~;3665 |; 0 &)
% ( 311 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 326 ( 324 usr; 312 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 963 ( 963 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3659,plain,
$false,
inference(avatar_smt_refutation,[],[f240,f245,f250,f255,f260,f261,f266,f271,f278,f283,f288,f296,f301,f305,f310,f319,f328,f333,f334,f335,f340,f345,f350,f351,f356,f357,f358,f369,f370,f379,f384,f389,f391,f402,f433,f443,f447,f462,f467,f475,f476,f484,f485,f503,f523,f531,f535,f539,f543,f547,f565,f569,f573,f577,f581,f609,f617,f622,f627,f658,f663,f677,f680,f682,f683,f684,f688,f692,f693,f694,f696,f725,f730,f736,f760,f773,f788,f793,f805,f809,f815,f817,f844,f850,f869,f873,f874,f875,f881,f884,f889,f890,f908,f912,f917,f922,f923,f924,f925,f926,f937,f942,f947,f952,f987,f1007,f1039,f1043,f1059,f1063,f1135,f1139,f1143,f1147,f1148,f1149,f1155,f1160,f1164,f1168,f1172,f1174,f1176,f1212,f1217,f1222,f1241,f1246,f1254,f1259,f1260,f1262,f1263,f1264,f1268,f1272,f1277,f1281,f1285,f1291,f1318,f1322,f1328,f1332,f1333,f1338,f1342,f1346,f1350,f1351,f1355,f1384,f1388,f1392,f1396,f1400,f1404,f1405,f1409,f1413,f1414,f1418,f1448,f1452,f1458,f1462,f1466,f1470,f1474,f1478,f1479,f1480,f1484,f1486,f1488,f1496,f1498,f1511,f1516,f1521,f1526,f1531,f1538,f1543,f1553,f1557,f1561,f1565,f1574,f1579,f1586,f1593,f1595,f1608,f1613,f1618,f1623,f1628,f1634,f1637,f1650,f1655,f1660,f1665,f1670,f1678,f1682,f1692,f1791,f1797,f1799,f1816,f1821,f1826,f1831,f1836,f1875,f1880,f1884,f1888,f1893,f1898,f1903,f1905,f1906,f1910,f1911,f1912,f1916,f1917,f1923,f1924,f1939,f1955,f1960,f1965,f1970,f1976,f1985,f2002,f2024,f2025,f2029,f2050,f2059,f2064,f2065,f2086,f2090,f2093,f2114,f2124,f2129,f2130,f2151,f2155,f2159,f2163,f2185,f2189,f2195,f2199,f2214,f2218,f2223,f2227,f2231,f2235,f2262,f2266,f2270,f2274,f2294,f2299,f2304,f2308,f2587,f2591,f2596,f2601,f2606,f2611,f2616,f2620,f2625,f2631,f2636,f2783,f2787,f2793,f2797,f2802,f2806,f2813,f2874,f2878,f2883,f2887,f2893,f2900,f2904,f2910,f2968,f2972,f2976,f2980,f2984,f2988,f2992,f3191,f3199,f3205,f3208,f3234,f3239,f3260,f3267,f3279,f3288,f3296,f3303,f3311,f3324,f3334,f3351,f3366,f3371,f3428,f3433,f3438,f3443,f3448,f3454,f3459,f3467,f3487,f3504,f3520,f3539,f3545,f3567,f3581,f3587,f3589,f3593,f3615,f3623,f3655,f3658]) ).
fof(f3658,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f3657,f325,f233,f280,f290]) ).
fof(f290,plain,
( spl0_13
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f280,plain,
( spl0_11
<=> ssItem(sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f233,plain,
( spl0_1
<=> sk3 = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f325,plain,
( spl0_21
<=> nil = sk3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f3657,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f3656]) ).
fof(f3656,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| nil != nil
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f396,f326]) ).
fof(f326,plain,
( nil = sk3
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f325]) ).
fof(f396,plain,
( ~ ssList(nil)
| nil != sk3
| ~ ssItem(sk5)
| ~ spl0_1 ),
inference(superposition,[],[f98,f235]) ).
fof(f235,plain,
( sk3 = cons(sk5,nil)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f98,axiom,
! [X0,X1] :
( nil != cons(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).
fof(f3655,plain,
( spl0_311
| ~ spl0_308
| ~ spl0_310
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f3650,f459,f325,f280,f233,f3612,f3604,f3652]) ).
fof(f3652,plain,
( spl0_311
<=> nil = skaf42(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).
fof(f3604,plain,
( spl0_308
<=> ssList(skaf43(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_308])]) ).
fof(f3612,plain,
( spl0_310
<=> ssList(skaf42(nil,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_310])]) ).
fof(f459,plain,
( spl0_34
<=> sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f3650,plain,
( ~ ssList(skaf42(nil,sk5))
| ~ ssList(skaf43(sk5,nil))
| nil = skaf42(nil,sk5)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3649,f326]) ).
fof(f3649,plain,
( nil = skaf42(nil,sk5)
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(skaf43(sk5,nil))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3648,f326]) ).
fof(f3648,plain,
( ~ ssList(skaf43(sk5,sk3))
| ~ ssList(skaf42(sk3,sk5))
| nil = skaf42(nil,sk5)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f3647]) ).
fof(f3647,plain,
( ~ ssList(skaf43(sk5,sk3))
| ~ ssList(skaf42(sk3,sk5))
| nil = skaf42(nil,sk5)
| nil != nil
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3646,f326]) ).
fof(f3646,plain,
( nil != sk3
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(skaf43(sk5,sk3))
| nil = skaf42(nil,sk5)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3645,f326]) ).
fof(f3645,plain,
( nil = skaf42(sk3,sk5)
| nil != sk3
| ~ ssList(skaf43(sk5,sk3))
| ~ ssList(skaf42(sk3,sk5))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f1294,f3372]) ).
fof(f3372,plain,
( ! [X21,X20] : cons(sk5,skaf43(X20,X21)) = skaf43(X20,X21)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21 ),
inference(forward_demodulation,[],[f3040,f649]) ).
fof(f649,plain,
! [X18,X17] : skaf43(X17,X18) = app(nil,skaf43(X17,X18)),
inference(resolution,[],[f74,f52]) ).
fof(f52,axiom,
! [X0,X1] : ssList(skaf43(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).
fof(f74,axiom,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).
fof(f3040,plain,
( ! [X21,X20] : cons(sk5,skaf43(X20,X21)) = app(nil,skaf43(X20,X21))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1201,f326]) ).
fof(f1201,plain,
( ! [X21,X20] : cons(sk5,skaf43(X20,X21)) = app(sk3,skaf43(X20,X21))
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f748,f52]) ).
fof(f748,plain,
( ! [X18] :
( ~ ssList(X18)
| app(sk3,X18) = cons(sk5,X18) )
| ~ spl0_1
| ~ spl0_11 ),
inference(forward_demodulation,[],[f747,f235]) ).
fof(f747,plain,
( ! [X18] :
( ~ ssList(X18)
| app(cons(sk5,nil),X18) = cons(sk5,X18) )
| ~ spl0_11 ),
inference(resolution,[],[f120,f282]) ).
fof(f282,plain,
( ssItem(sk5)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f120,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f1294,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(skaf42(sk3,sk5))
| nil != sk3
| nil = skaf42(sk3,sk5)
| ~ spl0_34 ),
inference(superposition,[],[f118,f461]) ).
fof(f461,plain,
( sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f118,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).
fof(f3623,plain,
( ~ spl0_306
| spl0_304
| ~ spl0_305
| ~ spl0_21
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f3622,f722,f325,f3560,f3556,f3564]) ).
fof(f3564,plain,
( spl0_306
<=> ssList(skaf47(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_306])]) ).
fof(f3556,plain,
( spl0_304
<=> nil = skaf48(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).
fof(f3560,plain,
( spl0_305
<=> ssList(skaf48(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_305])]) ).
fof(f722,plain,
( spl0_64
<=> sk3 = app(skaf47(sk3,nil),skaf48(nil,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f3622,plain,
( ~ ssList(skaf48(nil,nil))
| nil = skaf48(nil,nil)
| ~ ssList(skaf47(nil,nil))
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3621,f326]) ).
fof(f3621,plain,
( ~ ssList(skaf47(nil,nil))
| ~ ssList(skaf48(nil,nil))
| nil = skaf48(nil,sk3)
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3620,f326]) ).
fof(f3620,plain,
( ~ ssList(skaf48(nil,sk3))
| nil = skaf48(nil,sk3)
| ~ ssList(skaf47(nil,nil))
| ~ spl0_21
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f3619]) ).
fof(f3619,plain,
( nil != nil
| ~ ssList(skaf47(nil,nil))
| nil = skaf48(nil,sk3)
| ~ ssList(skaf48(nil,sk3))
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3618,f326]) ).
fof(f3618,plain,
( nil != sk3
| ~ ssList(skaf47(nil,nil))
| nil = skaf48(nil,sk3)
| ~ ssList(skaf48(nil,sk3))
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f1112,f326]) ).
fof(f1112,plain,
( ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3))
| nil = skaf48(nil,sk3)
| nil != sk3
| ~ spl0_64 ),
inference(superposition,[],[f119,f724]) ).
fof(f724,plain,
( sk3 = app(skaf47(sk3,nil),skaf48(nil,sk3))
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f119,axiom,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).
fof(f3615,plain,
( ~ spl0_308
| spl0_309
| ~ spl0_310
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f3602,f459,f325,f280,f233,f3612,f3608,f3604]) ).
fof(f3608,plain,
( spl0_309
<=> nil = skaf43(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).
fof(f3602,plain,
( ~ ssList(skaf42(nil,sk5))
| nil = skaf43(sk5,nil)
| ~ ssList(skaf43(sk5,nil))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3601,f326]) ).
fof(f3601,plain,
( nil = skaf43(sk5,nil)
| ~ ssList(skaf42(nil,sk5))
| ~ ssList(skaf43(sk5,sk3))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(trivial_inequality_removal,[],[f3600]) ).
fof(f3600,plain,
( ~ ssList(skaf42(nil,sk5))
| ~ ssList(skaf43(sk5,sk3))
| nil != nil
| nil = skaf43(sk5,nil)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3599,f326]) ).
fof(f3599,plain,
( nil = skaf43(sk5,nil)
| nil != sk3
| ~ ssList(skaf43(sk5,sk3))
| ~ ssList(skaf42(nil,sk5))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3598,f3372]) ).
fof(f3598,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| nil = skaf43(sk5,nil)
| nil != sk3
| ~ ssList(skaf42(nil,sk5))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3597,f326]) ).
fof(f3597,plain,
( nil = skaf43(sk5,sk3)
| ~ ssList(skaf42(nil,sk5))
| nil != sk3
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f3596,f3372]) ).
fof(f3596,plain,
( nil = cons(sk5,skaf43(sk5,sk3))
| ~ ssList(skaf42(nil,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| nil != sk3
| ~ spl0_21
| ~ spl0_34 ),
inference(forward_demodulation,[],[f1295,f326]) ).
fof(f1295,plain,
( ~ ssList(skaf42(sk3,sk5))
| nil != sk3
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| nil = cons(sk5,skaf43(sk5,sk3))
| ~ spl0_34 ),
inference(superposition,[],[f119,f461]) ).
fof(f3593,plain,
( ~ spl0_13
| ~ spl0_11
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f3592,f325,f233,f280,f290]) ).
fof(f3592,plain,
( ~ ssItem(sk5)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_21 ),
inference(trivial_inequality_removal,[],[f3591]) ).
fof(f3591,plain,
( ~ ssList(nil)
| nil != nil
| ~ ssItem(sk5)
| ~ spl0_1
| ~ spl0_21 ),
inference(forward_demodulation,[],[f395,f326]) ).
fof(f395,plain,
( ~ ssItem(sk5)
| nil != sk3
| ~ ssList(nil)
| ~ spl0_1 ),
inference(superposition,[],[f99,f235]) ).
fof(f99,axiom,
! [X0,X1] :
( cons(X0,X1) != X1
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).
fof(f3589,plain,
( spl0_27
| ~ spl0_21
| ~ spl0_194 ),
inference(avatar_split_clause,[],[f3588,f1890,f325,f376]) ).
fof(f376,plain,
( spl0_27
<=> nil = cons(sk5,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f1890,plain,
( spl0_194
<=> nil = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_194])]) ).
fof(f3588,plain,
( nil = cons(sk5,nil)
| ~ spl0_21
| ~ spl0_194 ),
inference(forward_demodulation,[],[f1891,f326]) ).
fof(f1891,plain,
( nil = cons(sk5,sk3)
| ~ spl0_194 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f3587,plain,
( ~ spl0_306
| spl0_307
| ~ spl0_305
| ~ spl0_21
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f3586,f722,f325,f3560,f3578,f3564]) ).
fof(f3578,plain,
( spl0_307
<=> nil = skaf47(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_307])]) ).
fof(f3586,plain,
( ~ ssList(skaf48(nil,nil))
| nil = skaf47(nil,nil)
| ~ ssList(skaf47(nil,nil))
| ~ spl0_21
| ~ spl0_64 ),
inference(trivial_inequality_removal,[],[f3585]) ).
fof(f3585,plain,
( ~ ssList(skaf47(nil,nil))
| nil = skaf47(nil,nil)
| nil != nil
| ~ ssList(skaf48(nil,nil))
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3584,f326]) ).
fof(f3584,plain,
( ~ ssList(skaf48(nil,nil))
| ~ ssList(skaf47(nil,nil))
| nil != sk3
| nil = skaf47(nil,nil)
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3583,f326]) ).
fof(f3583,plain,
( ~ ssList(skaf48(nil,nil))
| nil = skaf47(nil,nil)
| ~ ssList(skaf47(sk3,nil))
| nil != sk3
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f3582,f326]) ).
fof(f3582,plain,
( ~ ssList(skaf48(nil,sk3))
| nil != sk3
| nil = skaf47(nil,nil)
| ~ ssList(skaf47(sk3,nil))
| ~ spl0_21
| ~ spl0_64 ),
inference(forward_demodulation,[],[f1111,f326]) ).
fof(f1111,plain,
( nil = skaf47(sk3,nil)
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| nil != sk3
| ~ spl0_64 ),
inference(superposition,[],[f118,f724]) ).
fof(f3581,plain,
( ~ spl0_305
| spl0_307
| ~ spl0_306
| ~ spl0_21
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3576,f847,f325,f3564,f3578,f3560]) ).
fof(f847,plain,
( spl0_74
<=> sk3 = app(app(skaf47(sk3,sk3),sk3),skaf48(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f3576,plain,
( ~ ssList(skaf47(nil,nil))
| nil = skaf47(nil,nil)
| ~ ssList(skaf48(nil,nil))
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3575,f599]) ).
fof(f599,plain,
! [X16,X15] : skaf47(X15,X16) = app(skaf47(X15,X16),nil),
inference(resolution,[],[f73,f49]) ).
fof(f49,axiom,
! [X0,X1] : ssList(skaf47(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).
fof(f73,axiom,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).
fof(f3575,plain,
( ~ ssList(skaf48(nil,nil))
| nil = app(skaf47(nil,nil),nil)
| ~ ssList(skaf47(nil,nil))
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3574,f326]) ).
fof(f3574,plain,
( ~ ssList(skaf48(nil,nil))
| ~ ssList(skaf47(nil,nil))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3573,f599]) ).
fof(f3573,plain,
( ~ ssList(app(skaf47(nil,nil),nil))
| ~ ssList(skaf48(nil,nil))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3572,f326]) ).
fof(f3572,plain,
( ~ ssList(skaf48(nil,nil))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ spl0_21
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3571]) ).
fof(f3571,plain,
( ~ ssList(skaf48(nil,nil))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil != nil
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3570,f326]) ).
fof(f3570,plain,
( nil != sk3
| ~ ssList(skaf48(nil,nil))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f1422,f326]) ).
fof(f1422,plain,
( ~ ssList(skaf48(sk3,sk3))
| nil != sk3
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil = app(skaf47(sk3,sk3),sk3)
| ~ spl0_74 ),
inference(superposition,[],[f118,f849]) ).
fof(f849,plain,
( sk3 = app(app(skaf47(sk3,sk3),sk3),skaf48(sk3,sk3))
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f3567,plain,
( spl0_304
| ~ spl0_305
| ~ spl0_306
| ~ spl0_21
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f3554,f847,f325,f3564,f3560,f3556]) ).
fof(f3554,plain,
( ~ ssList(skaf47(nil,nil))
| ~ ssList(skaf48(nil,nil))
| nil = skaf48(nil,nil)
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3553,f599]) ).
fof(f3553,plain,
( ~ ssList(skaf48(nil,nil))
| nil = skaf48(nil,nil)
| ~ ssList(app(skaf47(nil,nil),nil))
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3552,f326]) ).
fof(f3552,plain,
( ~ ssList(skaf48(sk3,sk3))
| ~ ssList(app(skaf47(nil,nil),nil))
| nil = skaf48(nil,nil)
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3551,f326]) ).
fof(f3551,plain,
( nil = skaf48(nil,nil)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f3550,f326]) ).
fof(f3550,plain,
( nil = skaf48(sk3,sk3)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ spl0_21
| ~ spl0_74 ),
inference(trivial_inequality_removal,[],[f3549]) ).
fof(f3549,plain,
( nil = skaf48(sk3,sk3)
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil != nil
| ~ spl0_21
| ~ spl0_74 ),
inference(forward_demodulation,[],[f1423,f326]) ).
fof(f1423,plain,
( nil != sk3
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| nil = skaf48(sk3,sk3)
| ~ spl0_74 ),
inference(superposition,[],[f119,f849]) ).
fof(f3545,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f371,f325,f233,f376]) ).
fof(f371,plain,
( nil = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_21 ),
inference(backward_demodulation,[],[f235,f326]) ).
fof(f3539,plain,
( spl0_303
| ~ spl0_21
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f3124,f1895,f325,f3536]) ).
fof(f3536,plain,
( spl0_303
<=> memberP(cons(sk5,nil),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).
fof(f1895,plain,
( spl0_195
<=> memberP(cons(sk5,sk3),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_195])]) ).
fof(f3124,plain,
( memberP(cons(sk5,nil),sk5)
| ~ spl0_21
| ~ spl0_195 ),
inference(backward_demodulation,[],[f1897,f326]) ).
fof(f1897,plain,
( memberP(cons(sk5,sk3),sk5)
| ~ spl0_195 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f3520,plain,
( spl0_302
| ~ spl0_21
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f2995,f399,f325,f3517]) ).
fof(f3517,plain,
( spl0_302
<=> memberP(nil,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_302])]) ).
fof(f399,plain,
( spl0_30
<=> memberP(sk3,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f2995,plain,
( memberP(nil,sk5)
| ~ spl0_21
| ~ spl0_30 ),
inference(backward_demodulation,[],[f401,f326]) ).
fof(f401,plain,
( memberP(sk3,sk5)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f3504,plain,
( spl0_301
| ~ spl0_21
| ~ spl0_264 ),
inference(avatar_split_clause,[],[f3177,f2880,f325,f3501]) ).
fof(f3501,plain,
( spl0_301
<=> segmentP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_301])]) ).
fof(f2880,plain,
( spl0_264
<=> segmentP(sk3,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).
fof(f3177,plain,
( segmentP(nil,nil)
| ~ spl0_21
| ~ spl0_264 ),
inference(backward_demodulation,[],[f2882,f326]) ).
fof(f2882,plain,
( segmentP(sk3,sk3)
| ~ spl0_264 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f3487,plain,
( spl0_300
| ~ spl0_21
| ~ spl0_205 ),
inference(avatar_split_clause,[],[f3135,f1967,f325,f3484]) ).
fof(f3484,plain,
( spl0_300
<=> cons(sk5,nil) = app(cons(sk5,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).
fof(f1967,plain,
( spl0_205
<=> app(cons(sk5,sk3),nil) = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_205])]) ).
fof(f3135,plain,
( cons(sk5,nil) = app(cons(sk5,nil),nil)
| ~ spl0_21
| ~ spl0_205 ),
inference(backward_demodulation,[],[f1969,f326]) ).
fof(f1969,plain,
( app(cons(sk5,sk3),nil) = cons(sk5,sk3)
| ~ spl0_205 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f3467,plain,
( spl0_299
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_207 ),
inference(avatar_split_clause,[],[f3462,f1982,f325,f280,f233,f3464]) ).
fof(f3464,plain,
( spl0_299
<=> cons(sk5,nil) = app(skaf42(cons(sk5,nil),sk5),skaf43(sk5,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_299])]) ).
fof(f1982,plain,
( spl0_207
<=> app(skaf42(cons(sk5,sk3),sk5),cons(sk5,skaf43(sk5,cons(sk5,sk3)))) = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).
fof(f3462,plain,
( cons(sk5,nil) = app(skaf42(cons(sk5,nil),sk5),skaf43(sk5,cons(sk5,nil)))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_207 ),
inference(forward_demodulation,[],[f3138,f3372]) ).
fof(f3138,plain,
( cons(sk5,nil) = app(skaf42(cons(sk5,nil),sk5),cons(sk5,skaf43(sk5,cons(sk5,nil))))
| ~ spl0_21
| ~ spl0_207 ),
inference(backward_demodulation,[],[f1984,f326]) ).
fof(f1984,plain,
( app(skaf42(cons(sk5,sk3),sk5),cons(sk5,skaf43(sk5,cons(sk5,sk3)))) = cons(sk5,sk3)
| ~ spl0_207 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f3459,plain,
( spl0_298
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f3405,f1675,f325,f280,f233,f3456]) ).
fof(f3456,plain,
( spl0_298
<=> segmentP(sk4,skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).
fof(f1675,plain,
( spl0_179
<=> segmentP(sk4,cons(sk5,skaf43(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).
fof(f3405,plain,
( segmentP(sk4,skaf43(sk5,sk4))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_179 ),
inference(backward_demodulation,[],[f1677,f3372]) ).
fof(f1677,plain,
( segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_179 ),
inference(avatar_component_clause,[],[f1675]) ).
fof(f3454,plain,
( spl0_297
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f3449,f1004,f325,f280,f233,f3451]) ).
fof(f3451,plain,
( spl0_297
<=> app(skaf42(skaf43(sk5,sk4),sk5),skaf43(sk5,skaf43(sk5,sk4))) = skaf43(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).
fof(f1004,plain,
( spl0_88
<=> cons(sk5,skaf43(sk5,sk4)) = app(skaf42(cons(sk5,skaf43(sk5,sk4)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf43(sk5,sk4))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f3449,plain,
( app(skaf42(skaf43(sk5,sk4),sk5),skaf43(sk5,skaf43(sk5,sk4))) = skaf43(sk5,sk4)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_88 ),
inference(forward_demodulation,[],[f3390,f3372]) ).
fof(f3390,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(skaf42(cons(sk5,skaf43(sk5,sk4)),sk5),skaf43(sk5,cons(sk5,skaf43(sk5,sk4))))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_88 ),
inference(backward_demodulation,[],[f1006,f3372]) ).
fof(f1006,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(skaf42(cons(sk5,skaf43(sk5,sk4)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf43(sk5,sk4)))))
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f3448,plain,
( ~ spl0_296
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| spl0_230 ),
inference(avatar_split_clause,[],[f3410,f2211,f325,f280,f233,f3445]) ).
fof(f3445,plain,
( spl0_296
<=> segmentP(skaf43(sk5,sk4),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).
fof(f2211,plain,
( spl0_230
<=> segmentP(cons(sk5,skaf43(sk5,sk4)),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_230])]) ).
fof(f3410,plain,
( ~ segmentP(skaf43(sk5,sk4),sk4)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| spl0_230 ),
inference(backward_demodulation,[],[f2213,f3372]) ).
fof(f2213,plain,
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),sk4)
| spl0_230 ),
inference(avatar_component_clause,[],[f2211]) ).
fof(f3443,plain,
( spl0_295
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_232 ),
inference(avatar_split_clause,[],[f3412,f2220,f325,f280,f233,f3440]) ).
fof(f3440,plain,
( spl0_295
<=> sk4 = app(app(skaf47(sk4,skaf43(sk5,sk4)),skaf43(sk5,sk4)),skaf48(skaf43(sk5,sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).
fof(f2220,plain,
( spl0_232
<=> sk4 = app(app(skaf47(sk4,cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_232])]) ).
fof(f3412,plain,
( sk4 = app(app(skaf47(sk4,skaf43(sk5,sk4)),skaf43(sk5,sk4)),skaf48(skaf43(sk5,sk4),sk4))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_232 ),
inference(backward_demodulation,[],[f2222,f3372]) ).
fof(f2222,plain,
( sk4 = app(app(skaf47(sk4,cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),sk4))
| ~ spl0_232 ),
inference(avatar_component_clause,[],[f2220]) ).
fof(f3438,plain,
( spl0_294
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_183 ),
inference(avatar_split_clause,[],[f3389,f1788,f325,f280,f233,f3435]) ).
fof(f3435,plain,
( spl0_294
<=> app(skaf42(skaf48(nil,sk4),sk5),skaf43(sk5,skaf48(nil,sk4))) = skaf48(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).
fof(f1788,plain,
( spl0_183
<=> skaf48(nil,sk4) = app(skaf42(skaf48(nil,sk4),sk5),cons(sk5,skaf43(sk5,skaf48(nil,sk4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).
fof(f3389,plain,
( app(skaf42(skaf48(nil,sk4),sk5),skaf43(sk5,skaf48(nil,sk4))) = skaf48(nil,sk4)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_183 ),
inference(backward_demodulation,[],[f1790,f3372]) ).
fof(f1790,plain,
( skaf48(nil,sk4) = app(skaf42(skaf48(nil,sk4),sk5),cons(sk5,skaf43(sk5,skaf48(nil,sk4))))
| ~ spl0_183 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f3433,plain,
( spl0_293
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f3391,f464,f325,f280,f233,f3430]) ).
fof(f3430,plain,
( spl0_293
<=> sk4 = app(skaf42(sk4,sk5),skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).
fof(f464,plain,
( spl0_35
<=> sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f3391,plain,
( sk4 = app(skaf42(sk4,sk5),skaf43(sk5,sk4))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_35 ),
inference(backward_demodulation,[],[f466,f3372]) ).
fof(f466,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_35 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f3428,plain,
( spl0_292
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_200 ),
inference(avatar_split_clause,[],[f3409,f1932,f325,f280,f233,f3425]) ).
fof(f3425,plain,
( spl0_292
<=> memberP(skaf43(sk5,sk4),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_292])]) ).
fof(f1932,plain,
( spl0_200
<=> memberP(cons(sk5,skaf43(sk5,sk4)),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).
fof(f3409,plain,
( memberP(skaf43(sk5,sk4),sk5)
| ~ spl0_1
| ~ spl0_11
| ~ spl0_21
| ~ spl0_200 ),
inference(backward_demodulation,[],[f1934,f3372]) ).
fof(f1934,plain,
( memberP(cons(sk5,skaf43(sk5,sk4)),sk5)
| ~ spl0_200 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f3371,plain,
( spl0_291
| ~ spl0_21
| ~ spl0_206 ),
inference(avatar_split_clause,[],[f3137,f1973,f325,f3368]) ).
fof(f3368,plain,
( spl0_291
<=> cons(sk5,nil) = app(skaf47(cons(sk5,nil),nil),skaf48(nil,cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_291])]) ).
fof(f1973,plain,
( spl0_206
<=> app(skaf47(cons(sk5,sk3),nil),skaf48(nil,cons(sk5,sk3))) = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).
fof(f3137,plain,
( cons(sk5,nil) = app(skaf47(cons(sk5,nil),nil),skaf48(nil,cons(sk5,nil)))
| ~ spl0_21
| ~ spl0_206 ),
inference(backward_demodulation,[],[f1975,f326]) ).
fof(f1975,plain,
( app(skaf47(cons(sk5,sk3),nil),skaf48(nil,cons(sk5,sk3))) = cons(sk5,sk3)
| ~ spl0_206 ),
inference(avatar_component_clause,[],[f1973]) ).
fof(f3366,plain,
( spl0_290
| ~ spl0_21
| ~ spl0_60
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f3361,f1209,f660,f325,f3363]) ).
fof(f3363,plain,
( spl0_290
<=> sk4 = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_290])]) ).
fof(f660,plain,
( spl0_60
<=> sk4 = app(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f1209,plain,
( spl0_104
<=> cons(sk5,sk4) = app(sk3,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).
fof(f3361,plain,
( sk4 = cons(sk5,sk4)
| ~ spl0_21
| ~ spl0_60
| ~ spl0_104 ),
inference(forward_demodulation,[],[f3044,f662]) ).
fof(f662,plain,
( sk4 = app(nil,sk4)
| ~ spl0_60 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f3044,plain,
( cons(sk5,sk4) = app(nil,sk4)
| ~ spl0_21
| ~ spl0_104 ),
inference(backward_demodulation,[],[f1211,f326]) ).
fof(f1211,plain,
( cons(sk5,sk4) = app(sk3,sk4)
| ~ spl0_104 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f3351,plain,
( spl0_289
| ~ spl0_21
| ~ spl0_187 ),
inference(avatar_split_clause,[],[f3346,f1823,f325,f3348]) ).
fof(f3348,plain,
( spl0_289
<=> cons(sk5,skaf47(nil,nil)) = skaf47(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_289])]) ).
fof(f1823,plain,
( spl0_187
<=> app(sk3,app(skaf47(sk3,sk3),sk3)) = cons(sk5,app(skaf47(sk3,sk3),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).
fof(f3346,plain,
( cons(sk5,skaf47(nil,nil)) = skaf47(nil,nil)
| ~ spl0_21
| ~ spl0_187 ),
inference(forward_demodulation,[],[f3345,f648]) ).
fof(f648,plain,
! [X16,X15] : skaf47(X15,X16) = app(nil,skaf47(X15,X16)),
inference(resolution,[],[f74,f49]) ).
fof(f3345,plain,
( cons(sk5,skaf47(nil,nil)) = app(nil,skaf47(nil,nil))
| ~ spl0_21
| ~ spl0_187 ),
inference(forward_demodulation,[],[f3116,f599]) ).
fof(f3116,plain,
( cons(sk5,app(skaf47(nil,nil),nil)) = app(nil,app(skaf47(nil,nil),nil))
| ~ spl0_21
| ~ spl0_187 ),
inference(backward_demodulation,[],[f1825,f326]) ).
fof(f1825,plain,
( app(sk3,app(skaf47(sk3,sk3),sk3)) = cons(sk5,app(skaf47(sk3,sk3),sk3))
| ~ spl0_187 ),
inference(avatar_component_clause,[],[f1823]) ).
fof(f3334,plain,
( spl0_288
| ~ spl0_21
| ~ spl0_202 ),
inference(avatar_split_clause,[],[f3132,f1952,f325,f3331]) ).
fof(f3331,plain,
( spl0_288
<=> cons(sk5,nil) = app(nil,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_288])]) ).
fof(f1952,plain,
( spl0_202
<=> cons(sk5,sk3) = app(nil,cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).
fof(f3132,plain,
( cons(sk5,nil) = app(nil,cons(sk5,nil))
| ~ spl0_21
| ~ spl0_202 ),
inference(backward_demodulation,[],[f1954,f326]) ).
fof(f1954,plain,
( cons(sk5,sk3) = app(nil,cons(sk5,sk3))
| ~ spl0_202 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f3324,plain,
( spl0_287
| ~ spl0_21
| ~ spl0_169 ),
inference(avatar_split_clause,[],[f3074,f1610,f325,f3321]) ).
fof(f3321,plain,
( spl0_287
<=> cons(sk5,skaf43(sk5,nil)) = app(nil,cons(sk5,skaf43(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_287])]) ).
fof(f1610,plain,
( spl0_169
<=> cons(sk5,skaf43(sk5,sk3)) = app(nil,cons(sk5,skaf43(sk5,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).
fof(f3074,plain,
( cons(sk5,skaf43(sk5,nil)) = app(nil,cons(sk5,skaf43(sk5,nil)))
| ~ spl0_21
| ~ spl0_169 ),
inference(backward_demodulation,[],[f1612,f326]) ).
fof(f1612,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(nil,cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_169 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f3311,plain,
( spl0_286
| ~ spl0_21
| ~ spl0_152
| ~ spl0_156 ),
inference(avatar_split_clause,[],[f3306,f1528,f1508,f325,f3308]) ).
fof(f3308,plain,
( spl0_286
<=> cons(sk5,sk4) = cons(sk5,cons(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_286])]) ).
fof(f1508,plain,
( spl0_152
<=> cons(sk5,sk4) = app(nil,cons(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).
fof(f1528,plain,
( spl0_156
<=> app(sk3,cons(sk5,sk4)) = cons(sk5,cons(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).
fof(f3306,plain,
( cons(sk5,sk4) = cons(sk5,cons(sk5,sk4))
| ~ spl0_21
| ~ spl0_152
| ~ spl0_156 ),
inference(forward_demodulation,[],[f3071,f1510]) ).
fof(f1510,plain,
( cons(sk5,sk4) = app(nil,cons(sk5,sk4))
| ~ spl0_152 ),
inference(avatar_component_clause,[],[f1508]) ).
fof(f3071,plain,
( cons(sk5,cons(sk5,sk4)) = app(nil,cons(sk5,sk4))
| ~ spl0_21
| ~ spl0_156 ),
inference(backward_demodulation,[],[f1530,f326]) ).
fof(f1530,plain,
( app(sk3,cons(sk5,sk4)) = cons(sk5,cons(sk5,sk4))
| ~ spl0_156 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f3303,plain,
( spl0_285
| ~ spl0_21
| ~ spl0_170 ),
inference(avatar_split_clause,[],[f3075,f1615,f325,f3300]) ).
fof(f3300,plain,
( spl0_285
<=> cons(sk5,cons(sk5,skaf43(sk5,nil))) = app(nil,cons(sk5,skaf43(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_285])]) ).
fof(f1615,plain,
( spl0_170
<=> cons(sk5,cons(sk5,skaf43(sk5,sk3))) = app(sk3,cons(sk5,skaf43(sk5,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).
fof(f3075,plain,
( cons(sk5,cons(sk5,skaf43(sk5,nil))) = app(nil,cons(sk5,skaf43(sk5,nil)))
| ~ spl0_21
| ~ spl0_170 ),
inference(backward_demodulation,[],[f1617,f326]) ).
fof(f1617,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk3))) = app(sk3,cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_170 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f3296,plain,
( spl0_284
| ~ spl0_21
| ~ spl0_85
| ~ spl0_105 ),
inference(avatar_split_clause,[],[f3291,f1214,f944,f325,f3293]) ).
fof(f3293,plain,
( spl0_284
<=> cons(sk5,cons(sk5,skaf43(sk5,sk4))) = cons(sk5,skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_284])]) ).
fof(f944,plain,
( spl0_85
<=> cons(sk5,skaf43(sk5,sk4)) = app(nil,cons(sk5,skaf43(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f1214,plain,
( spl0_105
<=> cons(sk5,cons(sk5,skaf43(sk5,sk4))) = app(sk3,cons(sk5,skaf43(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).
fof(f3291,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk4))) = cons(sk5,skaf43(sk5,sk4))
| ~ spl0_21
| ~ spl0_85
| ~ spl0_105 ),
inference(forward_demodulation,[],[f3045,f946]) ).
fof(f946,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(nil,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_85 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f3045,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk4))) = app(nil,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_21
| ~ spl0_105 ),
inference(backward_demodulation,[],[f1216,f326]) ).
fof(f1216,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk4))) = app(sk3,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_105 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f3288,plain,
( spl0_283
| ~ spl0_21
| ~ spl0_168 ),
inference(avatar_split_clause,[],[f3073,f1605,f325,f3285]) ).
fof(f3285,plain,
( spl0_283
<=> cons(sk5,skaf43(sk5,nil)) = app(app(skaf47(cons(sk5,skaf43(sk5,nil)),cons(sk5,skaf43(sk5,nil))),cons(sk5,skaf43(sk5,nil))),skaf48(cons(sk5,skaf43(sk5,nil)),cons(sk5,skaf43(sk5,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).
fof(f1605,plain,
( spl0_168
<=> cons(sk5,skaf43(sk5,sk3)) = app(app(skaf47(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3))),cons(sk5,skaf43(sk5,sk3))),skaf48(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).
fof(f3073,plain,
( cons(sk5,skaf43(sk5,nil)) = app(app(skaf47(cons(sk5,skaf43(sk5,nil)),cons(sk5,skaf43(sk5,nil))),cons(sk5,skaf43(sk5,nil))),skaf48(cons(sk5,skaf43(sk5,nil)),cons(sk5,skaf43(sk5,nil))))
| ~ spl0_21
| ~ spl0_168 ),
inference(backward_demodulation,[],[f1607,f326]) ).
fof(f1607,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(app(skaf47(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3))),cons(sk5,skaf43(sk5,sk3))),skaf48(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3))))
| ~ spl0_168 ),
inference(avatar_component_clause,[],[f1605]) ).
fof(f3279,plain,
( spl0_282
| ~ spl0_21
| ~ spl0_174
| ~ spl0_178 ),
inference(avatar_split_clause,[],[f3274,f1667,f1647,f325,f3276]) ).
fof(f3276,plain,
( spl0_282
<=> app(skaf47(sk4,sk4),sk4) = cons(sk5,app(skaf47(sk4,sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).
fof(f1647,plain,
( spl0_174
<=> app(nil,app(skaf47(sk4,sk4),sk4)) = app(skaf47(sk4,sk4),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).
fof(f1667,plain,
( spl0_178
<=> app(sk3,app(skaf47(sk4,sk4),sk4)) = cons(sk5,app(skaf47(sk4,sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).
fof(f3274,plain,
( app(skaf47(sk4,sk4),sk4) = cons(sk5,app(skaf47(sk4,sk4),sk4))
| ~ spl0_21
| ~ spl0_174
| ~ spl0_178 ),
inference(forward_demodulation,[],[f3078,f1649]) ).
fof(f1649,plain,
( app(nil,app(skaf47(sk4,sk4),sk4)) = app(skaf47(sk4,sk4),sk4)
| ~ spl0_174 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f3078,plain,
( app(nil,app(skaf47(sk4,sk4),sk4)) = cons(sk5,app(skaf47(sk4,sk4),sk4))
| ~ spl0_21
| ~ spl0_178 ),
inference(backward_demodulation,[],[f1669,f326]) ).
fof(f1669,plain,
( app(sk3,app(skaf47(sk4,sk4),sk4)) = cons(sk5,app(skaf47(sk4,sk4),sk4))
| ~ spl0_178 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f3267,plain,
( spl0_281
| ~ spl0_21
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f3051,f1308,f325,f3264]) ).
fof(f3264,plain,
( spl0_281
<=> ssList(cons(sk5,skaf43(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).
fof(f1308,plain,
( spl0_118
<=> ssList(cons(sk5,skaf43(sk5,sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).
fof(f3051,plain,
( ssList(cons(sk5,skaf43(sk5,nil)))
| ~ spl0_21
| ~ spl0_118 ),
inference(backward_demodulation,[],[f1309,f326]) ).
fof(f1309,plain,
( ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_118 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f3260,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2993,f325,f233,f376]) ).
fof(f2993,plain,
( nil = cons(sk5,nil)
| ~ spl0_1
| ~ spl0_21 ),
inference(backward_demodulation,[],[f235,f326]) ).
fof(f3239,plain,
( spl0_280
| ~ spl0_21
| ~ spl0_172 ),
inference(avatar_split_clause,[],[f3077,f1625,f325,f3236]) ).
fof(f3236,plain,
( spl0_280
<=> app(cons(sk5,skaf43(sk5,nil)),nil) = cons(sk5,skaf43(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).
fof(f1625,plain,
( spl0_172
<=> cons(sk5,skaf43(sk5,sk3)) = app(cons(sk5,skaf43(sk5,sk3)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).
fof(f3077,plain,
( app(cons(sk5,skaf43(sk5,nil)),nil) = cons(sk5,skaf43(sk5,nil))
| ~ spl0_21
| ~ spl0_172 ),
inference(backward_demodulation,[],[f1627,f326]) ).
fof(f1627,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(cons(sk5,skaf43(sk5,sk3)),nil)
| ~ spl0_172 ),
inference(avatar_component_clause,[],[f1625]) ).
fof(f3234,plain,
( spl0_279
| ~ spl0_21
| ~ spl0_204 ),
inference(avatar_split_clause,[],[f3134,f1962,f325,f3231]) ).
fof(f3231,plain,
( spl0_279
<=> cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).
fof(f1962,plain,
( spl0_204
<=> app(sk3,cons(sk5,sk3)) = cons(sk5,cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_204])]) ).
fof(f3134,plain,
( cons(sk5,cons(sk5,nil)) = app(nil,cons(sk5,nil))
| ~ spl0_21
| ~ spl0_204 ),
inference(backward_demodulation,[],[f1964,f326]) ).
fof(f1964,plain,
( app(sk3,cons(sk5,sk3)) = cons(sk5,cons(sk5,sk3))
| ~ spl0_204 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f3208,plain,
( spl0_27
| ~ spl0_21
| ~ spl0_55
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f3207,f1219,f606,f325,f376]) ).
fof(f606,plain,
( spl0_55
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f1219,plain,
( spl0_106
<=> app(sk3,sk3) = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).
fof(f3207,plain,
( nil = cons(sk5,nil)
| ~ spl0_21
| ~ spl0_55
| ~ spl0_106 ),
inference(forward_demodulation,[],[f3046,f608]) ).
fof(f608,plain,
( nil = app(nil,nil)
| ~ spl0_55 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f3046,plain,
( cons(sk5,nil) = app(nil,nil)
| ~ spl0_21
| ~ spl0_106 ),
inference(backward_demodulation,[],[f1221,f326]) ).
fof(f1221,plain,
( app(sk3,sk3) = cons(sk5,sk3)
| ~ spl0_106 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f3205,plain,
( spl0_278
| ~ spl0_21
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f3121,f1877,f325,f3202]) ).
fof(f3202,plain,
( spl0_278
<=> ssList(cons(sk5,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).
fof(f1877,plain,
( spl0_191
<=> ssList(cons(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).
fof(f3121,plain,
( ssList(cons(sk5,nil))
| ~ spl0_21
| ~ spl0_191 ),
inference(backward_demodulation,[],[f1879,f326]) ).
fof(f1879,plain,
( ssList(cons(sk5,sk3))
| ~ spl0_191 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f3199,plain,
( spl0_277
| ~ spl0_21
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f2997,f459,f325,f3196]) ).
fof(f3196,plain,
( spl0_277
<=> nil = app(skaf42(nil,sk5),cons(sk5,skaf43(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_277])]) ).
fof(f2997,plain,
( nil = app(skaf42(nil,sk5),cons(sk5,skaf43(sk5,nil)))
| ~ spl0_21
| ~ spl0_34 ),
inference(backward_demodulation,[],[f461,f326]) ).
fof(f3191,plain,
( spl0_276
| ~ spl0_21
| ~ spl0_203 ),
inference(avatar_split_clause,[],[f3133,f1957,f325,f3188]) ).
fof(f3188,plain,
( spl0_276
<=> cons(sk5,nil) = app(app(skaf47(cons(sk5,nil),cons(sk5,nil)),cons(sk5,nil)),skaf48(cons(sk5,nil),cons(sk5,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_276])]) ).
fof(f1957,plain,
( spl0_203
<=> app(app(skaf47(cons(sk5,sk3),cons(sk5,sk3)),cons(sk5,sk3)),skaf48(cons(sk5,sk3),cons(sk5,sk3))) = cons(sk5,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_203])]) ).
fof(f3133,plain,
( cons(sk5,nil) = app(app(skaf47(cons(sk5,nil),cons(sk5,nil)),cons(sk5,nil)),skaf48(cons(sk5,nil),cons(sk5,nil)))
| ~ spl0_21
| ~ spl0_203 ),
inference(backward_demodulation,[],[f1959,f326]) ).
fof(f1959,plain,
( app(app(skaf47(cons(sk5,sk3),cons(sk5,sk3)),cons(sk5,sk3)),skaf48(cons(sk5,sk3),cons(sk5,sk3))) = cons(sk5,sk3)
| ~ spl0_203 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f2992,plain,
( spl0_275
| ~ spl0_5
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2961,f2872,f252,f2990]) ).
fof(f2990,plain,
( spl0_275
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(X1,app(app(sk4,X0),X2)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0)
| app(X1,app(app(sk4,X0),X2)) = app(app(skaf47(app(X1,app(app(sk4,X0),X2)),sk3),sk3),skaf48(sk3,app(X1,app(app(sk4,X0),X2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_275])]) ).
fof(f252,plain,
( spl0_5
<=> ssList(sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2872,plain,
( spl0_262
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_262])]) ).
fof(f2961,plain,
( ! [X2,X0,X1] :
( ~ ssList(sk3)
| ~ ssList(X1)
| app(X1,app(app(sk4,X0),X2)) = app(app(skaf47(app(X1,app(app(sk4,X0),X2)),sk3),sk3),skaf48(sk3,app(X1,app(app(sk4,X0),X2))))
| ~ ssList(X0)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(X1,app(app(sk4,X0),X2)))
| ~ ssList(X2) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f498]) ).
fof(f498,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X3)
| ~ ssList(X0)
| ~ ssList(X3)
| app(X1,app(X0,X2)) = app(app(skaf47(app(X1,app(X0,X2)),X3),X3),skaf48(X3,app(X1,app(X0,X2))))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,app(X0,X2))) ),
inference(forward_subsumption_demodulation,[],[f497,f149]) ).
fof(f149,axiom,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X2,X1),X0) = app(X2,app(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f497,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X3)
| app(app(X1,X0),X2) = app(app(skaf47(app(app(X1,X0),X2),X3),X3),skaf48(X3,app(app(X1,X0),X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(app(X1,app(X0,X2))) ),
inference(forward_subsumption_demodulation,[],[f489,f149]) ).
fof(f489,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ segmentP(X0,X3)
| ~ ssList(app(app(X1,X0),X2))
| ~ ssList(X3)
| ~ ssList(X2)
| app(app(X1,X0),X2) = app(app(skaf47(app(app(X1,X0),X2),X3),X3),skaf48(X3,app(app(X1,X0),X2)))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f486]) ).
fof(f486,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| app(app(X1,X0),X2) = app(app(skaf47(app(app(X1,X0),X2),X3),X3),skaf48(X3,app(app(X1,X0),X2)))
| ~ segmentP(X0,X3)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(app(X1,X0),X2)) ),
inference(resolution,[],[f172,f168]) ).
fof(f168,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(skaf47(X0,X1),X1),skaf48(X1,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause168) ).
fof(f172,axiom,
! [X2,X3,X0,X1] :
( segmentP(app(app(X3,X0),X2),X1)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).
fof(f2873,plain,
( ! [X0] :
( segmentP(app(sk4,X0),sk3)
| ~ ssList(X0) )
| ~ spl0_262 ),
inference(avatar_component_clause,[],[f2872]) ).
fof(f2988,plain,
( spl0_274
| ~ spl0_5
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2963,f2872,f252,f2986]) ).
fof(f2986,plain,
( spl0_274
<=> ! [X9,X7,X6,X8] :
( ~ ssList(X9)
| ~ ssList(X7)
| ~ ssList(app(sk4,X6))
| ~ ssList(app(X8,app(app(sk4,X6),X9)))
| ~ ssList(X8)
| ~ ssList(X6)
| segmentP(X7,sk3)
| ~ segmentP(X7,app(X8,app(app(sk4,X6),X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).
fof(f2963,plain,
( ! [X8,X6,X9,X7] :
( ~ ssList(sk3)
| ~ ssList(X9)
| segmentP(X7,sk3)
| ~ ssList(X6)
| ~ ssList(X8)
| ~ segmentP(X7,app(X8,app(app(sk4,X6),X9)))
| ~ ssList(app(X8,app(app(sk4,X6),X9)))
| ~ ssList(app(sk4,X6))
| ~ ssList(X7) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f496]) ).
fof(f496,plain,
! [X8,X6,X7,X4,X5] :
( ~ segmentP(X4,X7)
| ~ segmentP(X8,app(X5,app(X4,X6)))
| segmentP(X8,X7)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ ssList(X4)
| ~ ssList(X8)
| ~ ssList(app(X5,app(X4,X6)))
| ~ ssList(X5) ),
inference(forward_subsumption_demodulation,[],[f495,f149]) ).
fof(f495,plain,
! [X8,X6,X7,X4,X5] :
( ~ segmentP(X4,X7)
| segmentP(X8,X7)
| ~ ssList(app(app(X5,X4),X6))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(X8,app(X5,app(X4,X6)))
| ~ ssList(X6) ),
inference(forward_subsumption_demodulation,[],[f490,f149]) ).
fof(f490,plain,
! [X8,X6,X7,X4,X5] :
( ~ segmentP(X4,X7)
| ~ segmentP(X8,app(app(X5,X4),X6))
| ~ ssList(X6)
| ~ ssList(app(app(X5,X4),X6))
| segmentP(X8,X7)
| ~ ssList(X7)
| ~ ssList(X5)
| ~ ssList(X8)
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f487,plain,
! [X8,X6,X7,X4,X5] :
( ~ ssList(X6)
| segmentP(X8,X7)
| ~ ssList(X8)
| ~ segmentP(X4,X7)
| ~ ssList(X7)
| ~ segmentP(X8,app(app(X5,X4),X6))
| ~ ssList(app(app(X5,X4),X6))
| ~ ssList(X7)
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(resolution,[],[f172,f152]) ).
fof(f152,axiom,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X0)
| segmentP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause152) ).
fof(f2984,plain,
( ~ spl0_5
| spl0_273
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2965,f2872,f2982,f252]) ).
fof(f2982,plain,
( spl0_273
<=> ! [X11,X12] :
( ~ ssList(X12)
| ~ ssList(app(sk4,X11))
| segmentP(X12,sk3)
| ~ segmentP(X12,app(sk4,X11))
| ~ ssList(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).
fof(f2965,plain,
( ! [X11,X12] :
( ~ ssList(X12)
| ~ ssList(X11)
| ~ ssList(sk3)
| ~ segmentP(X12,app(sk4,X11))
| segmentP(X12,sk3)
| ~ ssList(app(sk4,X11)) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f152]) ).
fof(f2980,plain,
( ~ spl0_5
| spl0_272
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2964,f2872,f2978,f252]) ).
fof(f2978,plain,
( spl0_272
<=> ! [X10] :
( app(sk4,X10) = app(app(skaf47(app(sk4,X10),sk3),sk3),skaf48(sk3,app(sk4,X10)))
| ~ ssList(app(sk4,X10))
| ~ ssList(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).
fof(f2964,plain,
( ! [X10] :
( app(sk4,X10) = app(app(skaf47(app(sk4,X10),sk3),sk3),skaf48(sk3,app(sk4,X10)))
| ~ ssList(X10)
| ~ ssList(sk3)
| ~ ssList(app(sk4,X10)) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f168]) ).
fof(f2976,plain,
( ~ spl0_5
| spl0_271
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2962,f2872,f2974,f252]) ).
fof(f2974,plain,
( spl0_271
<=> ! [X4,X5,X3] :
( ~ ssList(X4)
| ~ ssList(app(sk4,X3))
| ~ ssList(app(X4,app(app(sk4,X3),X5)))
| sk3 = app(X4,app(app(sk4,X3),X5))
| ~ segmentP(sk3,app(X4,app(app(sk4,X3),X5)))
| ~ ssList(X3)
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).
fof(f2962,plain,
( ! [X3,X4,X5] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X3)
| ~ segmentP(sk3,app(X4,app(app(sk4,X3),X5)))
| sk3 = app(X4,app(app(sk4,X3),X5))
| ~ ssList(sk3)
| ~ ssList(app(X4,app(app(sk4,X3),X5)))
| ~ ssList(app(sk4,X3)) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f494]) ).
fof(f494,plain,
! [X10,X11,X9,X12] :
( ~ segmentP(X9,X12)
| app(X10,app(X9,X11)) = X12
| ~ ssList(X12)
| ~ segmentP(X12,app(X10,app(X9,X11)))
| ~ ssList(X9)
| ~ ssList(X11)
| ~ ssList(X10)
| ~ ssList(app(X10,app(X9,X11))) ),
inference(forward_subsumption_demodulation,[],[f493,f149]) ).
fof(f493,plain,
! [X10,X11,X9,X12] :
( ~ ssList(X11)
| ~ segmentP(X9,X12)
| app(X10,app(X9,X11)) = X12
| ~ ssList(X10)
| ~ segmentP(X12,app(X10,app(X9,X11)))
| ~ ssList(app(app(X10,X9),X11))
| ~ ssList(X9)
| ~ ssList(X12) ),
inference(forward_subsumption_demodulation,[],[f492,f149]) ).
fof(f492,plain,
! [X10,X11,X9,X12] :
( ~ ssList(X12)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X11)
| ~ segmentP(X12,app(X10,app(X9,X11)))
| app(app(X10,X9),X11) = X12
| ~ segmentP(X9,X12)
| ~ ssList(app(app(X10,X9),X11)) ),
inference(forward_subsumption_demodulation,[],[f491,f149]) ).
fof(f491,plain,
! [X10,X11,X9,X12] :
( ~ ssList(X11)
| ~ ssList(X9)
| ~ ssList(X12)
| ~ segmentP(X12,app(app(X10,X9),X11))
| app(app(X10,X9),X11) = X12
| ~ ssList(app(app(X10,X9),X11))
| ~ ssList(X10)
| ~ segmentP(X9,X12) ),
inference(duplicate_literal_removal,[],[f488]) ).
fof(f488,plain,
! [X10,X11,X9,X12] :
( ~ ssList(X11)
| ~ ssList(X10)
| app(app(X10,X9),X11) = X12
| ~ ssList(X9)
| ~ segmentP(X12,app(app(X10,X9),X11))
| ~ ssList(X12)
| ~ ssList(app(app(X10,X9),X11))
| ~ ssList(X12)
| ~ segmentP(X9,X12) ),
inference(resolution,[],[f172,f127]) ).
fof(f127,axiom,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).
fof(f2972,plain,
( spl0_270
| ~ spl0_5
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2966,f2872,f252,f2970]) ).
fof(f2970,plain,
( spl0_270
<=> ! [X13] :
( sk3 = app(sk4,X13)
| ~ ssList(X13)
| ~ ssList(app(sk4,X13))
| ~ segmentP(sk3,app(sk4,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).
fof(f2966,plain,
( ! [X13] :
( ~ ssList(sk3)
| sk3 = app(sk4,X13)
| ~ segmentP(sk3,app(sk4,X13))
| ~ ssList(app(sk4,X13))
| ~ ssList(X13) )
| ~ spl0_262 ),
inference(resolution,[],[f2873,f127]) ).
fof(f2968,plain,
( ~ spl0_13
| spl0_18
| ~ spl0_57
| ~ spl0_262 ),
inference(avatar_split_clause,[],[f2967,f2872,f619,f312,f290]) ).
fof(f312,plain,
( spl0_18
<=> segmentP(sk4,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f619,plain,
( spl0_57
<=> sk4 = app(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f2967,plain,
( segmentP(sk4,sk3)
| ~ ssList(nil)
| ~ spl0_57
| ~ spl0_262 ),
inference(superposition,[],[f2873,f621]) ).
fof(f621,plain,
( sk4 = app(sk4,nil)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f619]) ).
fof(f2910,plain,
( ~ spl0_5
| spl0_269
| ~ spl0_11
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2906,f2629,f280,f2908,f252]) ).
fof(f2908,plain,
( spl0_269
<=> ! [X10,X7,X9,X8] :
( segmentP(X8,sk3)
| ~ ssList(cons(sk5,X7))
| ~ ssList(app(X9,cons(sk5,app(X7,X10))))
| ~ ssList(X10)
| ~ segmentP(X8,app(X9,cons(sk5,app(X7,X10))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).
fof(f2629,plain,
( spl0_253
<=> ! [X12] :
( ~ ssList(X12)
| segmentP(cons(sk5,X12),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).
fof(f2906,plain,
( ! [X10,X8,X9,X7] :
( segmentP(X8,sk3)
| ~ ssList(X9)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(X8,app(X9,cons(sk5,app(X7,X10))))
| ~ ssList(X10)
| ~ ssList(app(X9,cons(sk5,app(X7,X10))))
| ~ ssList(cons(sk5,X7))
| ~ ssList(sk3) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2905,f998]) ).
fof(f998,plain,
( ! [X28,X29] :
( ~ ssList(X28)
| ~ ssList(X29)
| app(cons(sk5,X29),X28) = cons(sk5,app(X29,X28)) )
| ~ spl0_11 ),
inference(resolution,[],[f157,f282]) ).
fof(f157,axiom,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X2)
| cons(X0,app(X1,X2)) = app(cons(X0,X1),X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).
fof(f2905,plain,
( ! [X10,X8,X9,X7] :
( ~ ssList(X9)
| ~ segmentP(X8,app(X9,cons(sk5,app(X7,X10))))
| segmentP(X8,sk3)
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X10)
| ~ ssList(sk3)
| ~ ssList(cons(sk5,X7))
| ~ ssList(app(X9,app(cons(sk5,X7),X10))) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2866,f998]) ).
fof(f2866,plain,
( ! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(sk3)
| ~ segmentP(X8,app(X9,app(cons(sk5,X7),X10)))
| ~ ssList(app(X9,app(cons(sk5,X7),X10)))
| ~ ssList(cons(sk5,X7))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(X9)
| segmentP(X8,sk3) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f496]) ).
fof(f2630,plain,
( ! [X12] :
( segmentP(cons(sk5,X12),sk3)
| ~ ssList(X12) )
| ~ spl0_253 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f2904,plain,
( ~ spl0_5
| spl0_268
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2869,f2629,f2902,f252]) ).
fof(f2902,plain,
( spl0_268
<=> ! [X14] :
( ~ ssList(X14)
| ~ ssList(cons(sk5,X14))
| sk3 = cons(sk5,X14)
| ~ segmentP(sk3,cons(sk5,X14)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_268])]) ).
fof(f2869,plain,
( ! [X14] :
( ~ ssList(X14)
| ~ segmentP(sk3,cons(sk5,X14))
| ~ ssList(sk3)
| sk3 = cons(sk5,X14)
| ~ ssList(cons(sk5,X14)) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f127]) ).
fof(f2900,plain,
( spl0_267
| ~ spl0_5
| ~ spl0_11
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2896,f2629,f280,f252,f2898]) ).
fof(f2898,plain,
( spl0_267
<=> ! [X6,X4,X5] :
( ~ ssList(app(X5,cons(sk5,app(X4,X6))))
| ~ segmentP(sk3,app(X5,cons(sk5,app(X4,X6))))
| sk3 = app(X5,cons(sk5,app(X4,X6)))
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssList(cons(sk5,X4))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_267])]) ).
fof(f2896,plain,
( ! [X6,X4,X5] :
( ~ ssList(sk3)
| ~ ssList(app(X5,cons(sk5,app(X4,X6))))
| ~ ssList(X4)
| ~ ssList(cons(sk5,X4))
| ~ ssList(X5)
| ~ ssList(X6)
| sk3 = app(X5,cons(sk5,app(X4,X6)))
| ~ segmentP(sk3,app(X5,cons(sk5,app(X4,X6)))) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2895,f998]) ).
fof(f2895,plain,
( ! [X6,X4,X5] :
( ~ ssList(app(X5,cons(sk5,app(X4,X6))))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(cons(sk5,X4))
| sk3 = app(X5,app(cons(sk5,X4),X6))
| ~ ssList(X6)
| ~ segmentP(sk3,app(X5,cons(sk5,app(X4,X6))))
| ~ ssList(sk3) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2894,f998]) ).
fof(f2894,plain,
( ! [X6,X4,X5] :
( ~ ssList(cons(sk5,X4))
| ~ ssList(X5)
| ~ ssList(app(X5,cons(sk5,app(X4,X6))))
| ~ ssList(sk3)
| ~ segmentP(sk3,app(X5,app(cons(sk5,X4),X6)))
| sk3 = app(X5,app(cons(sk5,X4),X6))
| ~ ssList(X4)
| ~ ssList(X6) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2865,f998]) ).
fof(f2865,plain,
( ! [X6,X4,X5] :
( ~ ssList(cons(sk5,X4))
| ~ ssList(app(X5,app(cons(sk5,X4),X6)))
| ~ ssList(X5)
| ~ ssList(sk3)
| ~ segmentP(sk3,app(X5,app(cons(sk5,X4),X6)))
| ~ ssList(X6)
| ~ ssList(X4)
| sk3 = app(X5,app(cons(sk5,X4),X6)) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f494]) ).
fof(f2893,plain,
( ~ spl0_5
| spl0_266
| ~ spl0_11
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2889,f2629,f280,f2891,f252]) ).
fof(f2891,plain,
( spl0_266
<=> ! [X2,X1,X3] :
( ~ ssList(app(X2,cons(sk5,app(X1,X3))))
| app(app(skaf47(app(X2,cons(sk5,app(X1,X3))),sk3),sk3),skaf48(sk3,app(X2,cons(sk5,app(X1,X3))))) = app(X2,cons(sk5,app(X1,X3)))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(cons(sk5,X1))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_266])]) ).
fof(f2889,plain,
( ! [X2,X3,X1] :
( ~ ssList(app(X2,cons(sk5,app(X1,X3))))
| ~ ssList(X3)
| ~ ssList(sk3)
| ~ ssList(cons(sk5,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| app(app(skaf47(app(X2,cons(sk5,app(X1,X3))),sk3),sk3),skaf48(sk3,app(X2,cons(sk5,app(X1,X3))))) = app(X2,cons(sk5,app(X1,X3))) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2888,f998]) ).
fof(f2888,plain,
( ! [X2,X3,X1] :
( ~ ssList(X1)
| ~ ssList(cons(sk5,X1))
| ~ ssList(sk3)
| ~ ssList(X3)
| app(X2,app(cons(sk5,X1),X3)) = app(app(skaf47(app(X2,app(cons(sk5,X1),X3)),sk3),sk3),skaf48(sk3,app(X2,app(cons(sk5,X1),X3))))
| ~ ssList(app(X2,cons(sk5,app(X1,X3))))
| ~ ssList(X2) )
| ~ spl0_11
| ~ spl0_253 ),
inference(forward_subsumption_demodulation,[],[f2864,f998]) ).
fof(f2864,plain,
( ! [X2,X3,X1] :
( ~ ssList(X2)
| ~ ssList(cons(sk5,X1))
| ~ ssList(sk3)
| ~ ssList(app(X2,app(cons(sk5,X1),X3)))
| ~ ssList(X3)
| ~ ssList(X1)
| app(X2,app(cons(sk5,X1),X3)) = app(app(skaf47(app(X2,app(cons(sk5,X1),X3)),sk3),sk3),skaf48(sk3,app(X2,app(cons(sk5,X1),X3)))) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f498]) ).
fof(f2887,plain,
( ~ spl0_5
| spl0_265
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2867,f2629,f2885,f252]) ).
fof(f2885,plain,
( spl0_265
<=> ! [X11] :
( cons(sk5,X11) = app(app(skaf47(cons(sk5,X11),sk3),sk3),skaf48(sk3,cons(sk5,X11)))
| ~ ssList(X11)
| ~ ssList(cons(sk5,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).
fof(f2867,plain,
( ! [X11] :
( cons(sk5,X11) = app(app(skaf47(cons(sk5,X11),sk3),sk3),skaf48(sk3,cons(sk5,X11)))
| ~ ssList(cons(sk5,X11))
| ~ ssList(sk3)
| ~ ssList(X11) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f168]) ).
fof(f2883,plain,
( ~ spl0_13
| spl0_264
| ~ spl0_1
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2870,f2629,f233,f2880,f290]) ).
fof(f2870,plain,
( segmentP(sk3,sk3)
| ~ ssList(nil)
| ~ spl0_1
| ~ spl0_253 ),
inference(superposition,[],[f2630,f235]) ).
fof(f2878,plain,
( ~ spl0_5
| spl0_263
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2868,f2629,f2876,f252]) ).
fof(f2876,plain,
( spl0_263
<=> ! [X13,X12] :
( ~ ssList(X12)
| ~ ssList(X13)
| segmentP(X13,sk3)
| ~ ssList(cons(sk5,X12))
| ~ segmentP(X13,cons(sk5,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).
fof(f2868,plain,
( ! [X12,X13] :
( ~ ssList(X12)
| ~ segmentP(X13,cons(sk5,X12))
| ~ ssList(cons(sk5,X12))
| segmentP(X13,sk3)
| ~ ssList(sk3)
| ~ ssList(X13) )
| ~ spl0_253 ),
inference(resolution,[],[f2630,f152]) ).
fof(f2874,plain,
( ~ spl0_5
| spl0_262
| ~ spl0_72
| ~ spl0_51
| ~ spl0_253 ),
inference(avatar_split_clause,[],[f2863,f2629,f567,f812,f2872,f252]) ).
fof(f812,plain,
( spl0_72
<=> ssList(skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).
fof(f567,plain,
( spl0_51
<=> ! [X2,X1] :
( segmentP(app(sk4,X1),X2)
| ~ ssList(X1)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f2863,plain,
( ! [X0] :
( ~ ssList(skaf43(sk5,sk4))
| ~ ssList(X0)
| segmentP(app(sk4,X0),sk3)
| ~ ssList(sk3) )
| ~ spl0_51
| ~ spl0_253 ),
inference(resolution,[],[f2630,f568]) ).
fof(f568,plain,
( ! [X2,X1] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X2)
| ~ ssList(X1)
| segmentP(app(sk4,X1),X2)
| ~ ssList(X2) )
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f2813,plain,
( ~ spl0_3
| spl0_261
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2809,f2609,f2811,f242]) ).
fof(f242,plain,
( spl0_3
<=> ssList(sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f2811,plain,
( spl0_261
<=> ! [X4,X5,X3] :
( ~ ssList(X5)
| ~ segmentP(sk4,app(X4,app(sk4,app(X3,X5))))
| ~ ssList(X3)
| ~ ssList(app(sk4,X3))
| ~ ssList(X4)
| sk4 = app(X4,app(sk4,app(X3,X5)))
| ~ ssList(app(X4,app(sk4,app(X3,X5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_261])]) ).
fof(f2609,plain,
( spl0_249
<=> ! [X13] :
( segmentP(app(sk4,X13),sk4)
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_249])]) ).
fof(f2809,plain,
( ! [X3,X4,X5] :
( ~ ssList(X5)
| ~ ssList(app(X4,app(sk4,app(X3,X5))))
| sk4 = app(X4,app(sk4,app(X3,X5)))
| ~ ssList(X4)
| ~ ssList(app(sk4,X3))
| ~ ssList(sk4)
| ~ ssList(X3)
| ~ segmentP(sk4,app(X4,app(sk4,app(X3,X5)))) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2808,f149]) ).
fof(f2808,plain,
( ! [X3,X4,X5] :
( ~ ssList(app(X4,app(app(sk4,X3),X5)))
| ~ ssList(app(sk4,X3))
| ~ ssList(sk4)
| ~ segmentP(sk4,app(X4,app(sk4,app(X3,X5))))
| ~ ssList(X3)
| sk4 = app(X4,app(sk4,app(X3,X5)))
| ~ ssList(X4)
| ~ ssList(X5) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2807,f149]) ).
fof(f2807,plain,
( ! [X3,X4,X5] :
( sk4 = app(X4,app(sk4,app(X3,X5)))
| ~ ssList(X4)
| ~ ssList(sk4)
| ~ ssList(X5)
| ~ ssList(X3)
| ~ segmentP(sk4,app(X4,app(app(sk4,X3),X5)))
| ~ ssList(app(X4,app(app(sk4,X3),X5)))
| ~ ssList(app(sk4,X3)) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2772,f149]) ).
fof(f2772,plain,
( ! [X3,X4,X5] :
( ~ ssList(X3)
| ~ ssList(sk4)
| sk4 = app(X4,app(app(sk4,X3),X5))
| ~ segmentP(sk4,app(X4,app(app(sk4,X3),X5)))
| ~ ssList(app(sk4,X3))
| ~ ssList(X4)
| ~ ssList(app(X4,app(app(sk4,X3),X5)))
| ~ ssList(X5) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f494]) ).
fof(f2610,plain,
( ! [X13] :
( segmentP(app(sk4,X13),sk4)
| ~ ssList(X13) )
| ~ spl0_249 ),
inference(avatar_component_clause,[],[f2609]) ).
fof(f2806,plain,
( ~ spl0_3
| spl0_260
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2776,f2609,f2804,f242]) ).
fof(f2804,plain,
( spl0_260
<=> ! [X13] :
( sk4 = app(sk4,X13)
| ~ ssList(app(sk4,X13))
| ~ segmentP(sk4,app(sk4,X13))
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_260])]) ).
fof(f2776,plain,
( ! [X13] :
( sk4 = app(sk4,X13)
| ~ ssList(sk4)
| ~ ssList(X13)
| ~ segmentP(sk4,app(sk4,X13))
| ~ ssList(app(sk4,X13)) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f127]) ).
fof(f2802,plain,
( ~ spl0_13
| spl0_259
| ~ spl0_57
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2777,f2609,f619,f2799,f290]) ).
fof(f2799,plain,
( spl0_259
<=> segmentP(sk4,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_259])]) ).
fof(f2777,plain,
( segmentP(sk4,sk4)
| ~ ssList(nil)
| ~ spl0_57
| ~ spl0_249 ),
inference(superposition,[],[f2610,f621]) ).
fof(f2797,plain,
( ~ spl0_3
| spl0_258
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2775,f2609,f2795,f242]) ).
fof(f2795,plain,
( spl0_258
<=> ! [X11,X12] :
( segmentP(X12,sk4)
| ~ ssList(X12)
| ~ ssList(X11)
| ~ ssList(app(sk4,X11))
| ~ segmentP(X12,app(sk4,X11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_258])]) ).
fof(f2775,plain,
( ! [X11,X12] :
( segmentP(X12,sk4)
| ~ segmentP(X12,app(sk4,X11))
| ~ ssList(app(sk4,X11))
| ~ ssList(X11)
| ~ ssList(sk4)
| ~ ssList(X12) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f152]) ).
fof(f2793,plain,
( ~ spl0_3
| spl0_257
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2789,f2609,f2791,f242]) ).
fof(f2791,plain,
( spl0_257
<=> ! [X9,X7,X6,X8] :
( ~ ssList(app(sk4,X6))
| ~ ssList(X6)
| ~ segmentP(X7,app(X8,app(sk4,app(X6,X9))))
| segmentP(X7,sk4)
| ~ ssList(X7)
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(app(X8,app(sk4,app(X6,X9)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_257])]) ).
fof(f2789,plain,
( ! [X8,X6,X9,X7] :
( ~ ssList(app(sk4,X6))
| ~ ssList(app(X8,app(sk4,app(X6,X9))))
| ~ ssList(X9)
| ~ ssList(X8)
| segmentP(X7,sk4)
| ~ ssList(X7)
| ~ segmentP(X7,app(X8,app(sk4,app(X6,X9))))
| ~ ssList(X6)
| ~ ssList(sk4) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2788,f149]) ).
fof(f2788,plain,
( ! [X8,X6,X9,X7] :
( ~ ssList(X8)
| ~ ssList(X7)
| ~ ssList(app(sk4,X6))
| ~ ssList(X9)
| ~ ssList(X6)
| ~ segmentP(X7,app(X8,app(sk4,app(X6,X9))))
| ~ ssList(app(X8,app(app(sk4,X6),X9)))
| segmentP(X7,sk4)
| ~ ssList(sk4) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2773,f149]) ).
fof(f2773,plain,
( ! [X8,X6,X9,X7] :
( ~ segmentP(X7,app(X8,app(app(sk4,X6),X9)))
| ~ ssList(X6)
| ~ ssList(X7)
| ~ ssList(app(sk4,X6))
| segmentP(X7,sk4)
| ~ ssList(app(X8,app(app(sk4,X6),X9)))
| ~ ssList(sk4)
| ~ ssList(X9)
| ~ ssList(X8) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f496]) ).
fof(f2787,plain,
( ~ spl0_3
| spl0_256
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2774,f2609,f2785,f242]) ).
fof(f2785,plain,
( spl0_256
<=> ! [X10] :
( ~ ssList(X10)
| app(sk4,X10) = app(app(skaf47(app(sk4,X10),sk4),sk4),skaf48(sk4,app(sk4,X10)))
| ~ ssList(app(sk4,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).
fof(f2774,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssList(app(sk4,X10))
| app(sk4,X10) = app(app(skaf47(app(sk4,X10),sk4),sk4),skaf48(sk4,app(sk4,X10)))
| ~ ssList(sk4) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f168]) ).
fof(f2783,plain,
( ~ spl0_3
| spl0_255
| ~ spl0_249 ),
inference(avatar_split_clause,[],[f2779,f2609,f2781,f242]) ).
fof(f2781,plain,
( spl0_255
<=> ! [X2,X0,X1] :
( app(X1,app(sk4,app(X0,X2))) = app(app(skaf47(app(X1,app(sk4,app(X0,X2))),sk4),sk4),skaf48(sk4,app(X1,app(sk4,app(X0,X2)))))
| ~ ssList(app(X1,app(sk4,app(X0,X2))))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(app(sk4,X0))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).
fof(f2779,plain,
( ! [X2,X0,X1] :
( app(X1,app(sk4,app(X0,X2))) = app(app(skaf47(app(X1,app(sk4,app(X0,X2))),sk4),sk4),skaf48(sk4,app(X1,app(sk4,app(X0,X2)))))
| ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(app(sk4,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(app(X1,app(sk4,app(X0,X2)))) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2778,f149]) ).
fof(f2778,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X2)
| app(X1,app(sk4,app(X0,X2))) = app(app(skaf47(app(X1,app(sk4,app(X0,X2))),sk4),sk4),skaf48(sk4,app(X1,app(sk4,app(X0,X2)))))
| ~ ssList(sk4)
| ~ ssList(app(sk4,X0))
| ~ ssList(app(X1,app(app(sk4,X0),X2)))
| ~ ssList(X1) )
| ~ spl0_249 ),
inference(forward_subsumption_demodulation,[],[f2771,f149]) ).
fof(f2771,plain,
( ! [X2,X0,X1] :
( ~ ssList(sk4)
| app(app(skaf47(app(X1,app(app(sk4,X0),X2)),sk4),sk4),skaf48(sk4,app(X1,app(app(sk4,X0),X2)))) = app(X1,app(app(sk4,X0),X2))
| ~ ssList(app(X1,app(app(sk4,X0),X2)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1) )
| ~ spl0_249 ),
inference(resolution,[],[f2610,f498]) ).
fof(f2636,plain,
( ~ spl0_191
| spl0_254
| ~ spl0_5
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f2632,f1219,f280,f233,f252,f2634,f1877]) ).
fof(f2634,plain,
( spl0_254
<=> ! [X46] :
( ~ ssList(X46)
| segmentP(app(sk3,cons(sk5,X46)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).
fof(f2632,plain,
( ! [X46] :
( ~ ssList(sk3)
| ~ ssList(X46)
| segmentP(app(sk3,cons(sk5,X46)),sk3)
| ~ ssList(cons(sk5,sk3)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f2572,f748]) ).
fof(f2572,plain,
( ! [X46] :
( ~ ssList(X46)
| ~ ssList(sk3)
| segmentP(app(sk3,app(sk3,X46)),sk3)
| ~ ssList(cons(sk5,sk3)) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f2567]) ).
fof(f2567,plain,
( ! [X46] :
( ~ ssList(sk3)
| ~ ssList(sk3)
| ~ ssList(cons(sk5,sk3))
| segmentP(app(sk3,app(sk3,X46)),sk3)
| ~ ssList(X46) )
| ~ spl0_106 ),
inference(superposition,[],[f678,f1221]) ).
fof(f678,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X1)
| segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(forward_subsumption_demodulation,[],[f672,f149]) ).
fof(f672,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(app(X0,X1),X2),X1) ),
inference(duplicate_literal_removal,[],[f664]) ).
fof(f664,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f85,f205]) ).
fof(f205,plain,
! [X2,X0,X1] :
( ~ ssList(app(app(X0,X1),X2))
| ~ ssList(X1)
| ~ ssList(X2)
| segmentP(app(app(X0,X1),X2),X1)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f173]) ).
fof(f173,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssList(X0)
| ~ ssList(X2)
| segmentP(X3,X1)
| app(app(X0,X1),X2) != X3
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause173) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f2631,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_253
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2627,f655,f280,f233,f2629,f252,f290]) ).
fof(f655,plain,
( spl0_59
<=> sk3 = app(nil,sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2627,plain,
( ! [X12] :
( ~ ssList(X12)
| segmentP(cons(sk5,X12),sk3)
| ~ ssList(sk3)
| ~ ssList(nil) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(forward_subsumption_demodulation,[],[f2626,f748]) ).
fof(f2626,plain,
( ! [X12] :
( segmentP(app(sk3,X12),sk3)
| ~ ssList(X12)
| ~ ssList(nil)
| ~ ssList(sk3) )
| ~ spl0_59 ),
inference(forward_subsumption_demodulation,[],[f2576,f667]) ).
fof(f667,plain,
! [X8,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| app(X7,X8) = app(nil,app(X7,X8)) ),
inference(resolution,[],[f85,f74]) ).
fof(f2576,plain,
( ! [X12] :
( ~ ssList(X12)
| segmentP(app(nil,app(sk3,X12)),sk3)
| ~ ssList(nil)
| ~ ssList(sk3) )
| ~ spl0_59 ),
inference(duplicate_literal_removal,[],[f2549]) ).
fof(f2549,plain,
( ! [X12] :
( ~ ssList(X12)
| segmentP(app(nil,app(sk3,X12)),sk3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(sk3) )
| ~ spl0_59 ),
inference(superposition,[],[f678,f657]) ).
fof(f657,plain,
( sk3 = app(nil,sk3)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f2625,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_252
| ~ spl0_110
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f2621,f1209,f280,f233,f1251,f2623,f242,f252]) ).
fof(f2623,plain,
( spl0_252
<=> ! [X45] :
( segmentP(cons(sk5,app(sk4,X45)),sk4)
| ~ ssList(X45) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).
fof(f1251,plain,
( spl0_110
<=> ssList(cons(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).
fof(f2621,plain,
( ! [X45] :
( ~ ssList(cons(sk5,sk4))
| segmentP(cons(sk5,app(sk4,X45)),sk4)
| ~ ssList(X45)
| ~ ssList(sk4)
| ~ ssList(sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f2566,f1205]) ).
fof(f1205,plain,
( ! [X26,X27] :
( ~ ssList(X26)
| cons(sk5,app(X26,X27)) = app(sk3,app(X26,X27))
| ~ ssList(X27) )
| ~ spl0_1
| ~ spl0_11 ),
inference(resolution,[],[f748,f85]) ).
fof(f2566,plain,
( ! [X45] :
( ~ ssList(sk3)
| segmentP(app(sk3,app(sk4,X45)),sk4)
| ~ ssList(cons(sk5,sk4))
| ~ ssList(sk4)
| ~ ssList(X45) )
| ~ spl0_104 ),
inference(superposition,[],[f678,f1211]) ).
fof(f2620,plain,
( ~ spl0_5
| ~ spl0_118
| spl0_251
| ~ spl0_119
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f2561,f459,f1312,f2618,f1308,f252]) ).
fof(f2618,plain,
( spl0_251
<=> ! [X38] :
( ~ ssList(X38)
| segmentP(app(skaf42(sk3,sk5),app(cons(sk5,skaf43(sk5,sk3)),X38)),cons(sk5,skaf43(sk5,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).
fof(f1312,plain,
( spl0_119
<=> ssList(skaf42(sk3,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).
fof(f2561,plain,
( ! [X38] :
( ~ ssList(skaf42(sk3,sk5))
| ~ ssList(X38)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| segmentP(app(skaf42(sk3,sk5),app(cons(sk5,skaf43(sk5,sk3)),X38)),cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(sk3) )
| ~ spl0_34 ),
inference(superposition,[],[f678,f461]) ).
fof(f2616,plain,
( ~ spl0_13
| spl0_250 ),
inference(avatar_split_clause,[],[f2612,f2614,f290]) ).
fof(f2614,plain,
( spl0_250
<=> ! [X2,X0,X1] :
( ~ ssList(skaf48(X0,X1))
| ~ ssList(X2)
| segmentP(app(skaf48(X0,X1),X2),skaf48(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_250])]) ).
fof(f2612,plain,
! [X2,X0,X1] :
( ~ ssList(skaf48(X0,X1))
| segmentP(app(skaf48(X0,X1),X2),skaf48(X0,X1))
| ~ ssList(X2)
| ~ ssList(nil) ),
inference(forward_subsumption_demodulation,[],[f2577,f667]) ).
fof(f2577,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| segmentP(app(nil,app(skaf48(X0,X1),X2)),skaf48(X0,X1))
| ~ ssList(skaf48(X0,X1))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2545]) ).
fof(f2545,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(skaf48(X0,X1))
| ~ ssList(skaf48(X0,X1))
| segmentP(app(nil,app(skaf48(X0,X1),X2)),skaf48(X0,X1))
| ~ ssList(nil) ),
inference(superposition,[],[f678,f647]) ).
fof(f647,plain,
! [X14,X13] : app(nil,skaf48(X13,X14)) = skaf48(X13,X14),
inference(resolution,[],[f74,f48]) ).
fof(f48,axiom,
! [X0,X1] : ssList(skaf48(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).
fof(f2611,plain,
( ~ spl0_13
| spl0_249
| ~ spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f2607,f660,f242,f2609,f290]) ).
fof(f2607,plain,
( ! [X13] :
( ~ ssList(sk4)
| segmentP(app(sk4,X13),sk4)
| ~ ssList(nil)
| ~ ssList(X13) )
| ~ spl0_60 ),
inference(forward_subsumption_demodulation,[],[f2578,f667]) ).
fof(f2578,plain,
( ! [X13] :
( ~ ssList(X13)
| ~ ssList(nil)
| segmentP(app(nil,app(sk4,X13)),sk4)
| ~ ssList(sk4) )
| ~ spl0_60 ),
inference(duplicate_literal_removal,[],[f2550]) ).
fof(f2550,plain,
( ! [X13] :
( ~ ssList(sk4)
| ~ ssList(X13)
| ~ ssList(sk4)
| segmentP(app(nil,app(sk4,X13)),sk4)
| ~ ssList(nil) )
| ~ spl0_60 ),
inference(superposition,[],[f678,f662]) ).
fof(f2606,plain,
( ~ spl0_13
| spl0_248 ),
inference(avatar_split_clause,[],[f2602,f2604,f290]) ).
fof(f2604,plain,
( spl0_248
<=> ! [X9,X11,X10] :
( ~ ssList(X11)
| segmentP(app(skaf42(X9,X10),X11),skaf42(X9,X10))
| ~ ssList(skaf42(X9,X10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_248])]) ).
fof(f2602,plain,
! [X10,X11,X9] :
( ~ ssList(X11)
| ~ ssList(nil)
| ~ ssList(skaf42(X9,X10))
| segmentP(app(skaf42(X9,X10),X11),skaf42(X9,X10)) ),
inference(forward_subsumption_demodulation,[],[f2579,f667]) ).
fof(f2579,plain,
! [X10,X11,X9] :
( ~ ssList(X11)
| segmentP(app(nil,app(skaf42(X9,X10),X11)),skaf42(X9,X10))
| ~ ssList(skaf42(X9,X10))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2548]) ).
fof(f2548,plain,
! [X10,X11,X9] :
( ~ ssList(skaf42(X9,X10))
| ~ ssList(X11)
| ~ ssList(skaf42(X9,X10))
| segmentP(app(nil,app(skaf42(X9,X10),X11)),skaf42(X9,X10))
| ~ ssList(nil) ),
inference(superposition,[],[f678,f650]) ).
fof(f650,plain,
! [X19,X20] : skaf42(X19,X20) = app(nil,skaf42(X19,X20)),
inference(resolution,[],[f74,f53]) ).
fof(f53,axiom,
! [X0,X1] : ssList(skaf42(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).
fof(f2601,plain,
( ~ spl0_13
| spl0_247 ),
inference(avatar_split_clause,[],[f2597,f2599,f290]) ).
fof(f2599,plain,
( spl0_247
<=> ! [X41,X40,X39] :
( ~ ssList(X41)
| ~ ssList(skaf42(X39,X40))
| segmentP(app(skaf42(X39,X40),X41),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).
fof(f2597,plain,
! [X40,X41,X39] :
( ~ ssList(X41)
| ~ ssList(skaf42(X39,X40))
| segmentP(app(skaf42(X39,X40),X41),nil)
| ~ ssList(nil) ),
inference(forward_subsumption_demodulation,[],[f2580,f74]) ).
fof(f2580,plain,
! [X40,X41,X39] :
( ~ ssList(X41)
| segmentP(app(skaf42(X39,X40),app(nil,X41)),nil)
| ~ ssList(nil)
| ~ ssList(skaf42(X39,X40)) ),
inference(duplicate_literal_removal,[],[f2562]) ).
fof(f2562,plain,
! [X40,X41,X39] :
( ~ ssList(X41)
| ~ ssList(skaf42(X39,X40))
| segmentP(app(skaf42(X39,X40),app(nil,X41)),nil)
| ~ ssList(nil)
| ~ ssList(skaf42(X39,X40)) ),
inference(superposition,[],[f678,f601]) ).
fof(f601,plain,
! [X19,X20] : app(skaf42(X19,X20),nil) = skaf42(X19,X20),
inference(resolution,[],[f73,f53]) ).
fof(f2596,plain,
( ~ spl0_13
| spl0_246 ),
inference(avatar_split_clause,[],[f2592,f2594,f290]) ).
fof(f2594,plain,
( spl0_246
<=> ! [X32,X33,X31] :
( ~ ssList(skaf47(X31,X32))
| segmentP(app(skaf47(X31,X32),X33),nil)
| ~ ssList(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).
fof(f2592,plain,
! [X31,X32,X33] :
( ~ ssList(skaf47(X31,X32))
| ~ ssList(X33)
| segmentP(app(skaf47(X31,X32),X33),nil)
| ~ ssList(nil) ),
inference(forward_subsumption_demodulation,[],[f2581,f74]) ).
fof(f2581,plain,
! [X31,X32,X33] :
( ~ ssList(nil)
| ~ ssList(skaf47(X31,X32))
| ~ ssList(X33)
| segmentP(app(skaf47(X31,X32),app(nil,X33)),nil) ),
inference(duplicate_literal_removal,[],[f2558]) ).
fof(f2558,plain,
! [X31,X32,X33] :
( segmentP(app(skaf47(X31,X32),app(nil,X33)),nil)
| ~ ssList(skaf47(X31,X32))
| ~ ssList(X33)
| ~ ssList(nil)
| ~ ssList(skaf47(X31,X32)) ),
inference(superposition,[],[f678,f599]) ).
fof(f2591,plain,
( ~ spl0_5
| ~ spl0_93
| spl0_245
| ~ spl0_95
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f2556,f722,f1132,f2589,f1125,f252]) ).
fof(f1125,plain,
( spl0_93
<=> ssList(skaf47(sk3,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).
fof(f2589,plain,
( spl0_245
<=> ! [X29] :
( segmentP(app(skaf47(sk3,nil),app(skaf48(nil,sk3),X29)),skaf48(nil,sk3))
| ~ ssList(X29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).
fof(f1132,plain,
( spl0_95
<=> ssList(skaf48(nil,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).
fof(f2556,plain,
( ! [X29] :
( ~ ssList(skaf48(nil,sk3))
| segmentP(app(skaf47(sk3,nil),app(skaf48(nil,sk3),X29)),skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(sk3)
| ~ ssList(X29) )
| ~ spl0_64 ),
inference(superposition,[],[f678,f724]) ).
fof(f2587,plain,
( ~ spl0_13
| spl0_244 ),
inference(avatar_split_clause,[],[f2583,f2585,f290]) ).
fof(f2585,plain,
( spl0_244
<=> ! [X4,X5,X3] :
( ~ ssList(skaf47(X3,X4))
| ~ ssList(X5)
| segmentP(app(skaf47(X3,X4),X5),skaf47(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).
fof(f2583,plain,
! [X3,X4,X5] :
( ~ ssList(skaf47(X3,X4))
| segmentP(app(skaf47(X3,X4),X5),skaf47(X3,X4))
| ~ ssList(nil)
| ~ ssList(X5) ),
inference(forward_subsumption_demodulation,[],[f2582,f667]) ).
fof(f2582,plain,
! [X3,X4,X5] :
( ~ ssList(X5)
| ~ ssList(nil)
| ~ ssList(skaf47(X3,X4))
| segmentP(app(nil,app(skaf47(X3,X4),X5)),skaf47(X3,X4)) ),
inference(duplicate_literal_removal,[],[f2546]) ).
fof(f2546,plain,
! [X3,X4,X5] :
( ~ ssList(skaf47(X3,X4))
| ~ ssList(skaf47(X3,X4))
| ~ ssList(nil)
| segmentP(app(nil,app(skaf47(X3,X4),X5)),skaf47(X3,X4))
| ~ ssList(X5) ),
inference(superposition,[],[f678,f648]) ).
fof(f2308,plain,
( ~ spl0_13
| spl0_243 ),
inference(avatar_split_clause,[],[f2285,f2306,f290]) ).
fof(f2306,plain,
( spl0_243
<=> ! [X29,X27,X28,X30] :
( segmentP(app(skaf42(X27,X28),X29),X30)
| ~ ssList(X30)
| ~ ssList(X29)
| ~ ssList(skaf42(X27,X28))
| ~ segmentP(skaf42(X27,X28),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).
fof(f2285,plain,
! [X28,X29,X27,X30] :
( segmentP(app(skaf42(X27,X28),X29),X30)
| ~ segmentP(skaf42(X27,X28),X30)
| ~ ssList(skaf42(X27,X28))
| ~ ssList(nil)
| ~ ssList(X29)
| ~ ssList(X30) ),
inference(superposition,[],[f172,f650]) ).
fof(f2304,plain,
( ~ spl0_13
| spl0_242 ),
inference(avatar_split_clause,[],[f2286,f2302,f290]) ).
fof(f2302,plain,
( spl0_242
<=> ! [X32,X33,X31] :
( segmentP(app(skaf42(X31,X32),X33),skaf42(X31,X32))
| ~ ssList(skaf42(X31,X32))
| ~ ssList(app(skaf42(X31,X32),X33))
| ~ ssList(X33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).
fof(f2286,plain,
! [X31,X32,X33] :
( segmentP(app(skaf42(X31,X32),X33),skaf42(X31,X32))
| ~ ssList(X33)
| ~ ssList(app(skaf42(X31,X32),X33))
| ~ ssList(skaf42(X31,X32))
| ~ ssList(nil) ),
inference(superposition,[],[f205,f650]) ).
fof(f2299,plain,
( ~ spl0_13
| spl0_241 ),
inference(avatar_split_clause,[],[f2282,f2297,f290]) ).
fof(f2297,plain,
( spl0_241
<=> ! [X20,X18,X19] :
( ~ ssList(skaf42(X18,X19))
| skaf42(X18,X19) != app(X20,skaf42(X18,X19))
| ~ ssList(X20)
| nil = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).
fof(f2282,plain,
! [X18,X19,X20] :
( ~ ssList(skaf42(X18,X19))
| ~ ssList(X20)
| ~ ssList(nil)
| nil = X20
| skaf42(X18,X19) != app(X20,skaf42(X18,X19)) ),
inference(superposition,[],[f151,f650]) ).
fof(f151,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X2,X1)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X0)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).
fof(f2294,plain,
( ~ spl0_13
| spl0_240 ),
inference(avatar_split_clause,[],[f2283,f2292,f290]) ).
fof(f2292,plain,
( spl0_240
<=> ! [X22,X21,X23] :
( nil = X23
| ~ ssList(skaf42(X21,X22))
| ~ ssList(X23)
| app(X23,skaf42(X21,X22)) != skaf42(X21,X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).
fof(f2283,plain,
! [X21,X22,X23] :
( nil = X23
| app(X23,skaf42(X21,X22)) != skaf42(X21,X22)
| ~ ssList(nil)
| ~ ssList(X23)
| ~ ssList(skaf42(X21,X22)) ),
inference(superposition,[],[f151,f650]) ).
fof(f2274,plain,
( ~ spl0_13
| spl0_239 ),
inference(avatar_split_clause,[],[f2249,f2272,f290]) ).
fof(f2272,plain,
( spl0_239
<=> ! [X22,X21,X23] :
( skaf43(X21,X22) != app(X23,skaf43(X21,X22))
| ~ ssList(skaf43(X21,X22))
| ~ ssList(X23)
| nil = X23 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).
fof(f2249,plain,
! [X21,X22,X23] :
( skaf43(X21,X22) != app(X23,skaf43(X21,X22))
| nil = X23
| ~ ssList(nil)
| ~ ssList(X23)
| ~ ssList(skaf43(X21,X22)) ),
inference(superposition,[],[f151,f649]) ).
fof(f2270,plain,
( ~ spl0_13
| spl0_238 ),
inference(avatar_split_clause,[],[f2251,f2268,f290]) ).
fof(f2268,plain,
( spl0_238
<=> ! [X29,X27,X28,X30] :
( ~ ssList(X29)
| segmentP(app(skaf43(X27,X28),X29),X30)
| ~ ssList(X30)
| ~ ssList(skaf43(X27,X28))
| ~ segmentP(skaf43(X27,X28),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).
fof(f2251,plain,
! [X28,X29,X27,X30] :
( ~ ssList(X29)
| ~ ssList(X30)
| ~ ssList(nil)
| ~ segmentP(skaf43(X27,X28),X30)
| ~ ssList(skaf43(X27,X28))
| segmentP(app(skaf43(X27,X28),X29),X30) ),
inference(superposition,[],[f172,f649]) ).
fof(f2266,plain,
( ~ spl0_13
| spl0_237 ),
inference(avatar_split_clause,[],[f2252,f2264,f290]) ).
fof(f2264,plain,
( spl0_237
<=> ! [X32,X31,X33] :
( ~ ssList(X33)
| ~ ssList(app(skaf43(X31,X32),X33))
| segmentP(app(skaf43(X31,X32),X33),skaf43(X31,X32))
| ~ ssList(skaf43(X31,X32)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).
fof(f2252,plain,
! [X31,X32,X33] :
( ~ ssList(X33)
| ~ ssList(skaf43(X31,X32))
| segmentP(app(skaf43(X31,X32),X33),skaf43(X31,X32))
| ~ ssList(nil)
| ~ ssList(app(skaf43(X31,X32),X33)) ),
inference(superposition,[],[f205,f649]) ).
fof(f2262,plain,
( ~ spl0_13
| spl0_236 ),
inference(avatar_split_clause,[],[f2248,f2260,f290]) ).
fof(f2260,plain,
( spl0_236
<=> ! [X20,X18,X19] :
( app(X20,skaf43(X18,X19)) != skaf43(X18,X19)
| ~ ssList(X20)
| nil = X20
| ~ ssList(skaf43(X18,X19)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).
fof(f2248,plain,
! [X18,X19,X20] :
( app(X20,skaf43(X18,X19)) != skaf43(X18,X19)
| ~ ssList(skaf43(X18,X19))
| nil = X20
| ~ ssList(X20)
| ~ ssList(nil) ),
inference(superposition,[],[f151,f649]) ).
fof(f2235,plain,
( ~ spl0_3
| ~ spl0_49
| spl0_235
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2202,f1675,f2233,f559,f242]) ).
fof(f559,plain,
( spl0_49
<=> ssList(cons(sk5,skaf43(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2233,plain,
( spl0_235
<=> ! [X6,X4,X5] :
( ~ segmentP(X4,app(X5,app(sk4,X6)))
| ~ ssList(app(X5,app(sk4,X6)))
| ~ ssList(X4)
| segmentP(X4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X6)
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_235])]) ).
fof(f2202,plain,
( ! [X6,X4,X5] :
( ~ segmentP(X4,app(X5,app(sk4,X6)))
| ~ ssList(X5)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X6)
| ~ ssList(sk4)
| segmentP(X4,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X4)
| ~ ssList(app(X5,app(sk4,X6))) )
| ~ spl0_179 ),
inference(resolution,[],[f1677,f496]) ).
fof(f2231,plain,
( ~ spl0_3
| ~ spl0_49
| spl0_234
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2201,f1675,f2229,f559,f242]) ).
fof(f2229,plain,
( spl0_234
<=> ! [X2,X3] :
( ~ ssList(X3)
| ~ ssList(app(X2,app(sk4,X3)))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),app(X2,app(sk4,X3)))
| ~ ssList(X2)
| cons(sk5,skaf43(sk5,sk4)) = app(X2,app(sk4,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_234])]) ).
fof(f2201,plain,
( ! [X2,X3] :
( ~ ssList(X3)
| cons(sk5,skaf43(sk5,sk4)) = app(X2,app(sk4,X3))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X2)
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),app(X2,app(sk4,X3)))
| ~ ssList(app(X2,app(sk4,X3)))
| ~ ssList(sk4) )
| ~ spl0_179 ),
inference(resolution,[],[f1677,f494]) ).
fof(f2227,plain,
( ~ spl0_49
| spl0_233
| ~ spl0_3
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2200,f1675,f242,f2225,f559]) ).
fof(f2225,plain,
( spl0_233
<=> ! [X0,X1] :
( app(app(skaf47(app(X0,app(sk4,X1)),cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),app(X0,app(sk4,X1)))) = app(X0,app(sk4,X1))
| ~ ssList(X1)
| ~ ssList(app(X0,app(sk4,X1)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_233])]) ).
fof(f2200,plain,
( ! [X0,X1] :
( ~ ssList(sk4)
| app(app(skaf47(app(X0,app(sk4,X1)),cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),app(X0,app(sk4,X1)))) = app(X0,app(sk4,X1))
| ~ ssList(X0)
| ~ ssList(app(X0,app(sk4,X1)))
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4))) )
| ~ spl0_179 ),
inference(resolution,[],[f1677,f498]) ).
fof(f2223,plain,
( ~ spl0_49
| spl0_232
| ~ spl0_3
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2203,f1675,f242,f2220,f559]) ).
fof(f2203,plain,
( ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),sk4))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_179 ),
inference(resolution,[],[f1677,f168]) ).
fof(f2218,plain,
( ~ spl0_3
| ~ spl0_49
| spl0_231
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2204,f1675,f2216,f559,f242]) ).
fof(f2216,plain,
( spl0_231
<=> ! [X7] :
( ~ ssList(X7)
| ~ segmentP(X7,sk4)
| segmentP(X7,cons(sk5,skaf43(sk5,sk4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_231])]) ).
fof(f2204,plain,
( ! [X7] :
( ~ ssList(X7)
| segmentP(X7,cons(sk5,skaf43(sk5,sk4)))
| ~ segmentP(X7,sk4)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4) )
| ~ spl0_179 ),
inference(resolution,[],[f1677,f152]) ).
fof(f2214,plain,
( ~ spl0_3
| spl0_229
| ~ spl0_49
| ~ spl0_230
| ~ spl0_179 ),
inference(avatar_split_clause,[],[f2205,f1675,f2211,f559,f2207,f242]) ).
fof(f2207,plain,
( spl0_229
<=> sk4 = cons(sk5,skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_229])]) ).
fof(f2205,plain,
( ~ segmentP(cons(sk5,skaf43(sk5,sk4)),sk4)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| sk4 = cons(sk5,skaf43(sk5,sk4))
| ~ ssList(sk4)
| ~ spl0_179 ),
inference(resolution,[],[f1677,f127]) ).
fof(f2199,plain,
( ~ spl0_13
| spl0_228 ),
inference(avatar_split_clause,[],[f2174,f2197,f290]) ).
fof(f2197,plain,
( spl0_228
<=> ! [X22,X21,X23] :
( skaf47(X21,X22) != app(X23,skaf47(X21,X22))
| ~ ssList(X23)
| nil = X23
| ~ ssList(skaf47(X21,X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_228])]) ).
fof(f2174,plain,
! [X21,X22,X23] :
( skaf47(X21,X22) != app(X23,skaf47(X21,X22))
| ~ ssList(skaf47(X21,X22))
| nil = X23
| ~ ssList(nil)
| ~ ssList(X23) ),
inference(superposition,[],[f151,f648]) ).
fof(f2195,plain,
( ~ spl0_13
| spl0_227 ),
inference(avatar_split_clause,[],[f2173,f2193,f290]) ).
fof(f2193,plain,
( spl0_227
<=> ! [X20,X18,X19] :
( app(X20,skaf47(X18,X19)) != skaf47(X18,X19)
| ~ ssList(X20)
| ~ ssList(skaf47(X18,X19))
| nil = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_227])]) ).
fof(f2173,plain,
! [X18,X19,X20] :
( app(X20,skaf47(X18,X19)) != skaf47(X18,X19)
| nil = X20
| ~ ssList(skaf47(X18,X19))
| ~ ssList(nil)
| ~ ssList(X20) ),
inference(superposition,[],[f151,f648]) ).
fof(f2189,plain,
( ~ spl0_13
| spl0_226 ),
inference(avatar_split_clause,[],[f2177,f2187,f290]) ).
fof(f2187,plain,
( spl0_226
<=> ! [X32,X33,X31] :
( segmentP(app(skaf47(X31,X32),X33),skaf47(X31,X32))
| ~ ssList(skaf47(X31,X32))
| ~ ssList(X33)
| ~ ssList(app(skaf47(X31,X32),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_226])]) ).
fof(f2177,plain,
! [X31,X32,X33] :
( segmentP(app(skaf47(X31,X32),X33),skaf47(X31,X32))
| ~ ssList(app(skaf47(X31,X32),X33))
| ~ ssList(X33)
| ~ ssList(skaf47(X31,X32))
| ~ ssList(nil) ),
inference(superposition,[],[f205,f648]) ).
fof(f2185,plain,
( ~ spl0_13
| spl0_225 ),
inference(avatar_split_clause,[],[f2176,f2183,f290]) ).
fof(f2183,plain,
( spl0_225
<=> ! [X29,X27,X28,X30] :
( ~ segmentP(skaf47(X27,X28),X30)
| ~ ssList(X29)
| ~ ssList(X30)
| ~ ssList(skaf47(X27,X28))
| segmentP(app(skaf47(X27,X28),X29),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_225])]) ).
fof(f2176,plain,
! [X28,X29,X27,X30] :
( ~ segmentP(skaf47(X27,X28),X30)
| segmentP(app(skaf47(X27,X28),X29),X30)
| ~ ssList(skaf47(X27,X28))
| ~ ssList(X30)
| ~ ssList(nil)
| ~ ssList(X29) ),
inference(superposition,[],[f172,f648]) ).
fof(f2163,plain,
( ~ spl0_13
| spl0_224 ),
inference(avatar_split_clause,[],[f2139,f2161,f290]) ).
fof(f2161,plain,
( spl0_224
<=> ! [X20,X18,X19] :
( ~ ssList(skaf48(X18,X19))
| ~ ssList(X20)
| app(X20,skaf48(X18,X19)) != skaf48(X18,X19)
| nil = X20 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_224])]) ).
fof(f2139,plain,
! [X18,X19,X20] :
( ~ ssList(skaf48(X18,X19))
| nil = X20
| ~ ssList(nil)
| app(X20,skaf48(X18,X19)) != skaf48(X18,X19)
| ~ ssList(X20) ),
inference(superposition,[],[f151,f647]) ).
fof(f2159,plain,
( ~ spl0_13
| spl0_223 ),
inference(avatar_split_clause,[],[f2143,f2157,f290]) ).
fof(f2157,plain,
( spl0_223
<=> ! [X32,X33,X31] :
( ~ ssList(skaf48(X31,X32))
| ~ ssList(X33)
| segmentP(app(skaf48(X31,X32),X33),skaf48(X31,X32))
| ~ ssList(app(skaf48(X31,X32),X33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).
fof(f2143,plain,
! [X31,X32,X33] :
( ~ ssList(skaf48(X31,X32))
| ~ ssList(app(skaf48(X31,X32),X33))
| segmentP(app(skaf48(X31,X32),X33),skaf48(X31,X32))
| ~ ssList(X33)
| ~ ssList(nil) ),
inference(superposition,[],[f205,f647]) ).
fof(f2155,plain,
( ~ spl0_13
| spl0_222 ),
inference(avatar_split_clause,[],[f2142,f2153,f290]) ).
fof(f2153,plain,
( spl0_222
<=> ! [X29,X27,X28,X30] :
( ~ ssList(X29)
| ~ ssList(skaf48(X27,X28))
| ~ segmentP(skaf48(X27,X28),X30)
| ~ ssList(X30)
| segmentP(app(skaf48(X27,X28),X29),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).
fof(f2142,plain,
! [X28,X29,X27,X30] :
( ~ ssList(X29)
| segmentP(app(skaf48(X27,X28),X29),X30)
| ~ ssList(nil)
| ~ ssList(X30)
| ~ segmentP(skaf48(X27,X28),X30)
| ~ ssList(skaf48(X27,X28)) ),
inference(superposition,[],[f172,f647]) ).
fof(f2151,plain,
( spl0_221
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f2140,f290,f2149]) ).
fof(f2149,plain,
( spl0_221
<=> ! [X22,X21,X23] :
( ~ ssList(X23)
| nil = X23
| ~ ssList(skaf48(X21,X22))
| skaf48(X21,X22) != app(X23,skaf48(X21,X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_221])]) ).
fof(f2140,plain,
! [X21,X22,X23] :
( ~ ssList(nil)
| ~ ssList(X23)
| skaf48(X21,X22) != app(X23,skaf48(X21,X22))
| ~ ssList(skaf48(X21,X22))
| nil = X23 ),
inference(superposition,[],[f151,f647]) ).
fof(f2130,plain,
( spl0_220
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f2101,f290,f2127]) ).
fof(f2127,plain,
( spl0_220
<=> ! [X13,X12,X14] :
( nil = X14
| app(skaf42(X12,X13),X14) != skaf42(X12,X13)
| ~ ssList(skaf42(X12,X13))
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).
fof(f2101,plain,
! [X16,X17,X15] :
( ~ ssList(nil)
| ~ ssList(skaf42(X15,X16))
| nil = X17
| ~ ssList(X17)
| skaf42(X15,X16) != app(skaf42(X15,X16),X17) ),
inference(superposition,[],[f150,f601]) ).
fof(f150,axiom,
! [X2,X0,X1] :
( app(X0,X1) != app(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| X1 = X2
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).
fof(f2129,plain,
( ~ spl0_13
| spl0_220 ),
inference(avatar_split_clause,[],[f2100,f2127,f290]) ).
fof(f2100,plain,
! [X14,X12,X13] :
( nil = X14
| ~ ssList(X14)
| ~ ssList(skaf42(X12,X13))
| app(skaf42(X12,X13),X14) != skaf42(X12,X13)
| ~ ssList(nil) ),
inference(superposition,[],[f150,f601]) ).
fof(f2124,plain,
( spl0_218
| ~ spl0_13
| ~ spl0_219
| ~ spl0_78 ),
inference(avatar_split_clause,[],[f2094,f887,f2121,f290,f2117]) ).
fof(f2117,plain,
( spl0_218
<=> nil = cons(sk5,skaf43(sk5,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).
fof(f2121,plain,
( spl0_219
<=> sk4 = skaf42(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).
fof(f887,plain,
( spl0_78
<=> ! [X3] :
( ~ ssList(X3)
| sk4 != app(skaf42(sk4,sk5),X3)
| cons(sk5,skaf43(sk5,sk4)) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).
fof(f2094,plain,
( sk4 != skaf42(sk4,sk5)
| ~ ssList(nil)
| nil = cons(sk5,skaf43(sk5,sk4))
| ~ spl0_78 ),
inference(superposition,[],[f888,f601]) ).
fof(f888,plain,
( ! [X3] :
( sk4 != app(skaf42(sk4,sk5),X3)
| ~ ssList(X3)
| cons(sk5,skaf43(sk5,sk4)) = X3 )
| ~ spl0_78 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f2114,plain,
( ~ spl0_13
| spl0_217 ),
inference(avatar_split_clause,[],[f2105,f2112,f290]) ).
fof(f2112,plain,
( spl0_217
<=> ! [X29,X27,X28,X30] :
( ~ ssList(X30)
| ~ segmentP(nil,X30)
| ~ ssList(X29)
| ~ ssList(skaf42(X27,X28))
| segmentP(app(skaf42(X27,X28),X29),X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_217])]) ).
fof(f2105,plain,
! [X28,X29,X27,X30] :
( ~ ssList(X30)
| ~ ssList(nil)
| segmentP(app(skaf42(X27,X28),X29),X30)
| ~ ssList(skaf42(X27,X28))
| ~ ssList(X29)
| ~ segmentP(nil,X30) ),
inference(superposition,[],[f172,f601]) ).
fof(f2093,plain,
( ~ spl0_13
| spl0_216 ),
inference(avatar_split_clause,[],[f2072,f2088,f290]) ).
fof(f2088,plain,
( spl0_216
<=> ! [X16,X17,X15] :
( nil = X17
| ~ ssList(X17)
| ~ ssList(skaf43(X15,X16))
| skaf43(X15,X16) != app(skaf43(X15,X16),X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_216])]) ).
fof(f2072,plain,
! [X14,X12,X13] :
( nil = X14
| app(skaf43(X12,X13),X14) != skaf43(X12,X13)
| ~ ssList(nil)
| ~ ssList(X14)
| ~ ssList(skaf43(X12,X13)) ),
inference(superposition,[],[f150,f600]) ).
fof(f600,plain,
! [X18,X17] : app(skaf43(X17,X18),nil) = skaf43(X17,X18),
inference(resolution,[],[f73,f52]) ).
fof(f2090,plain,
( ~ spl0_13
| spl0_216 ),
inference(avatar_split_clause,[],[f2073,f2088,f290]) ).
fof(f2073,plain,
! [X16,X17,X15] :
( nil = X17
| ~ ssList(nil)
| ~ ssList(skaf43(X15,X16))
| skaf43(X15,X16) != app(skaf43(X15,X16),X17)
| ~ ssList(X17) ),
inference(superposition,[],[f150,f600]) ).
fof(f2086,plain,
( ~ spl0_13
| spl0_215 ),
inference(avatar_split_clause,[],[f2077,f2084,f290]) ).
fof(f2084,plain,
( spl0_215
<=> ! [X29,X27,X28,X30] :
( ~ ssList(X30)
| ~ ssList(X29)
| ~ segmentP(nil,X30)
| segmentP(app(skaf43(X27,X28),X29),X30)
| ~ ssList(skaf43(X27,X28)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_215])]) ).
fof(f2077,plain,
! [X28,X29,X27,X30] :
( ~ ssList(X30)
| ~ ssList(nil)
| ~ ssList(skaf43(X27,X28))
| segmentP(app(skaf43(X27,X28),X29),X30)
| ~ segmentP(nil,X30)
| ~ ssList(X29) ),
inference(superposition,[],[f172,f600]) ).
fof(f2065,plain,
( ~ spl0_13
| spl0_211 ),
inference(avatar_split_clause,[],[f2036,f2048,f290]) ).
fof(f2048,plain,
( spl0_211
<=> ! [X16,X17,X15] :
( skaf47(X15,X16) != app(skaf47(X15,X16),X17)
| ~ ssList(skaf47(X15,X16))
| nil = X17
| ~ ssList(X17) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_211])]) ).
fof(f2036,plain,
! [X14,X12,X13] :
( nil = X14
| app(skaf47(X12,X13),X14) != skaf47(X12,X13)
| ~ ssList(nil)
| ~ ssList(skaf47(X12,X13))
| ~ ssList(X14) ),
inference(superposition,[],[f150,f599]) ).
fof(f2064,plain,
( ~ spl0_13
| spl0_214 ),
inference(avatar_split_clause,[],[f2041,f2062,f290]) ).
fof(f2062,plain,
( spl0_214
<=> ! [X29,X27,X28,X30] :
( ~ ssList(skaf47(X27,X28))
| ~ ssList(X30)
| ~ ssList(X29)
| segmentP(app(skaf47(X27,X28),X29),X30)
| ~ segmentP(nil,X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_214])]) ).
fof(f2041,plain,
! [X28,X29,X27,X30] :
( ~ ssList(skaf47(X27,X28))
| ~ ssList(nil)
| ~ segmentP(nil,X30)
| segmentP(app(skaf47(X27,X28),X29),X30)
| ~ ssList(X29)
| ~ ssList(X30) ),
inference(superposition,[],[f172,f599]) ).
fof(f2059,plain,
( ~ spl0_212
| spl0_213
| ~ spl0_13
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f2030,f867,f290,f2056,f2052]) ).
fof(f2052,plain,
( spl0_212
<=> sk4 = skaf47(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_212])]) ).
fof(f2056,plain,
( spl0_213
<=> nil = skaf48(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_213])]) ).
fof(f867,plain,
( spl0_75
<=> ! [X2] :
( skaf48(nil,sk4) = X2
| sk4 != app(skaf47(sk4,nil),X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f2030,plain,
( ~ ssList(nil)
| nil = skaf48(nil,sk4)
| sk4 != skaf47(sk4,nil)
| ~ spl0_75 ),
inference(superposition,[],[f868,f599]) ).
fof(f868,plain,
( ! [X2] :
( sk4 != app(skaf47(sk4,nil),X2)
| ~ ssList(X2)
| skaf48(nil,sk4) = X2 )
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f2050,plain,
( ~ spl0_13
| spl0_211 ),
inference(avatar_split_clause,[],[f2037,f2048,f290]) ).
fof(f2037,plain,
! [X16,X17,X15] :
( skaf47(X15,X16) != app(skaf47(X15,X16),X17)
| ~ ssList(X17)
| nil = X17
| ~ ssList(nil)
| ~ ssList(skaf47(X15,X16)) ),
inference(superposition,[],[f150,f599]) ).
fof(f2029,plain,
( ~ spl0_13
| spl0_210 ),
inference(avatar_split_clause,[],[f2013,f2027,f290]) ).
fof(f2027,plain,
( spl0_210
<=> ! [X29,X27,X28,X30] :
( ~ ssList(skaf48(X27,X28))
| ~ ssList(X29)
| ~ segmentP(nil,X30)
| segmentP(app(skaf48(X27,X28),X29),X30)
| ~ ssList(X30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_210])]) ).
fof(f2013,plain,
! [X28,X29,X27,X30] :
( ~ ssList(skaf48(X27,X28))
| ~ ssList(X30)
| segmentP(app(skaf48(X27,X28),X29),X30)
| ~ segmentP(nil,X30)
| ~ ssList(X29)
| ~ ssList(nil) ),
inference(superposition,[],[f172,f598]) ).
fof(f598,plain,
! [X14,X13] : app(skaf48(X13,X14),nil) = skaf48(X13,X14),
inference(resolution,[],[f73,f48]) ).
fof(f2025,plain,
( ~ spl0_13
| spl0_209 ),
inference(avatar_split_clause,[],[f2009,f2022,f290]) ).
fof(f2022,plain,
( spl0_209
<=> ! [X13,X12,X14] :
( ~ ssList(skaf48(X12,X13))
| skaf48(X12,X13) != app(skaf48(X12,X13),X14)
| nil = X14
| ~ ssList(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_209])]) ).
fof(f2009,plain,
! [X16,X17,X15] :
( ~ ssList(X17)
| ~ ssList(nil)
| nil = X17
| ~ ssList(skaf48(X15,X16))
| app(skaf48(X15,X16),X17) != skaf48(X15,X16) ),
inference(superposition,[],[f150,f598]) ).
fof(f2024,plain,
( ~ spl0_13
| spl0_209 ),
inference(avatar_split_clause,[],[f2008,f2022,f290]) ).
fof(f2008,plain,
! [X14,X12,X13] :
( ~ ssList(skaf48(X12,X13))
| nil = X14
| ~ ssList(nil)
| ~ ssList(X14)
| skaf48(X12,X13) != app(skaf48(X12,X13),X14) ),
inference(superposition,[],[f150,f598]) ).
fof(f2002,plain,
( ~ spl0_72
| ~ spl0_11
| spl0_208
| ~ spl0_89 ),
inference(avatar_split_clause,[],[f1997,f1037,f2000,f280,f812]) ).
fof(f2000,plain,
( spl0_208
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(skaf43(sk5,sk4),X0)
| sk4 = app(skaf42(sk4,X0),cons(X0,skaf43(X0,sk4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).
fof(f1037,plain,
( spl0_89
<=> ! [X3] :
( ~ memberP(cons(sk5,skaf43(sk5,sk4)),X3)
| sk4 = app(skaf42(sk4,X3),cons(X3,skaf43(X3,sk4)))
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).
fof(f1997,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sk5)
| sk4 = app(skaf42(sk4,X0),cons(X0,skaf43(X0,sk4)))
| ~ memberP(skaf43(sk5,sk4),X0)
| ~ ssList(skaf43(sk5,sk4)) )
| ~ spl0_89 ),
inference(duplicate_literal_removal,[],[f1996]) ).
fof(f1996,plain,
( ! [X0] :
( ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ memberP(skaf43(sk5,sk4),X0)
| sk4 = app(skaf42(sk4,X0),cons(X0,skaf43(X0,sk4)))
| ~ ssItem(X0) )
| ~ spl0_89 ),
inference(resolution,[],[f1038,f139]) ).
fof(f139,axiom,
! [X2,X0,X1] :
( memberP(cons(X2,X0),X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ memberP(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).
fof(f1038,plain,
( ! [X3] :
( ~ memberP(cons(sk5,skaf43(sk5,sk4)),X3)
| sk4 = app(skaf42(sk4,X3),cons(X3,skaf43(X3,sk4)))
| ~ ssItem(X3) )
| ~ spl0_89 ),
inference(avatar_component_clause,[],[f1037]) ).
fof(f1985,plain,
( ~ spl0_11
| ~ spl0_191
| spl0_207
| ~ spl0_195 ),
inference(avatar_split_clause,[],[f1979,f1895,f1982,f1877,f280]) ).
fof(f1979,plain,
( app(skaf42(cons(sk5,sk3),sk5),cons(sk5,skaf43(sk5,cons(sk5,sk3)))) = cons(sk5,sk3)
| ~ ssList(cons(sk5,sk3))
| ~ ssItem(sk5)
| ~ spl0_195 ),
inference(resolution,[],[f1897,f169]) ).
fof(f169,axiom,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| app(skaf42(X0,X1),cons(X1,skaf43(X1,X0))) = X0
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).
fof(f1976,plain,
( spl0_206
| ~ spl0_33
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1946,f1877,f445,f1973]) ).
fof(f445,plain,
( spl0_33
<=> ! [X0] :
( app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f1946,plain,
( app(skaf47(cons(sk5,sk3),nil),skaf48(nil,cons(sk5,sk3))) = cons(sk5,sk3)
| ~ spl0_33
| ~ spl0_191 ),
inference(resolution,[],[f1879,f610]) ).
fof(f610,plain,
( ! [X0] :
( ~ ssList(X0)
| app(skaf47(X0,nil),skaf48(nil,X0)) = X0 )
| ~ spl0_33 ),
inference(backward_demodulation,[],[f446,f599]) ).
fof(f446,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0 )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f1970,plain,
( spl0_205
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1942,f1877,f1967]) ).
fof(f1942,plain,
( app(cons(sk5,sk3),nil) = cons(sk5,sk3)
| ~ spl0_191 ),
inference(resolution,[],[f1879,f73]) ).
fof(f1965,plain,
( spl0_204
| ~ spl0_1
| ~ spl0_11
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1947,f1877,f280,f233,f1962]) ).
fof(f1947,plain,
( app(sk3,cons(sk5,sk3)) = cons(sk5,cons(sk5,sk3))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_191 ),
inference(resolution,[],[f1879,f748]) ).
fof(f1960,plain,
( spl0_203
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1945,f1877,f1957]) ).
fof(f1945,plain,
( app(app(skaf47(cons(sk5,sk3),cons(sk5,sk3)),cons(sk5,sk3)),skaf48(cons(sk5,sk3),cons(sk5,sk3))) = cons(sk5,sk3)
| ~ spl0_191 ),
inference(resolution,[],[f1879,f438]) ).
fof(f438,plain,
! [X1] :
( ~ ssList(X1)
| app(app(skaf47(X1,X1),X1),skaf48(X1,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f435]) ).
fof(f435,plain,
! [X1] :
( app(app(skaf47(X1,X1),X1),skaf48(X1,X1)) = X1
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(resolution,[],[f168,f57]) ).
fof(f57,axiom,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).
fof(f1955,plain,
( spl0_202
| ~ spl0_191 ),
inference(avatar_split_clause,[],[f1943,f1877,f1952]) ).
fof(f1943,plain,
( cons(sk5,sk3) = app(nil,cons(sk5,sk3))
| ~ spl0_191 ),
inference(resolution,[],[f1879,f74]) ).
fof(f1939,plain,
( spl0_200
| spl0_201
| ~ spl0_11
| ~ spl0_8
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f1930,f575,f268,f280,f1936,f1932]) ).
fof(f1936,plain,
( spl0_201
<=> memberP(skaf42(sk4,sk5),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).
fof(f268,plain,
( spl0_8
<=> memberP(sk4,sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f575,plain,
( spl0_53
<=> ! [X3] :
( memberP(cons(sk5,skaf43(sk5,sk4)),X3)
| memberP(skaf42(sk4,sk5),X3)
| ~ ssItem(X3)
| ~ memberP(sk4,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1930,plain,
( ~ ssItem(sk5)
| memberP(skaf42(sk4,sk5),sk5)
| memberP(cons(sk5,skaf43(sk5,sk4)),sk5)
| ~ spl0_8
| ~ spl0_53 ),
inference(resolution,[],[f576,f270]) ).
fof(f270,plain,
( memberP(sk4,sk5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f576,plain,
( ! [X3] :
( ~ memberP(sk4,X3)
| memberP(skaf42(sk4,sk5),X3)
| ~ ssItem(X3)
| memberP(cons(sk5,skaf43(sk5,sk4)),X3) )
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1924,plain,
( spl0_193
| ~ spl0_5
| ~ spl0_191
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1854,f1219,f1877,f252,f1886]) ).
fof(f1886,plain,
( spl0_193
<=> ! [X11] :
( ~ ssItem(X11)
| cons(sk5,sk3) = app(skaf42(cons(sk5,sk3),X11),cons(X11,skaf43(X11,cons(sk5,sk3))))
| ~ memberP(sk3,X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_193])]) ).
fof(f1854,plain,
( ! [X10] :
( ~ ssList(cons(sk5,sk3))
| ~ ssList(sk3)
| app(skaf42(cons(sk5,sk3),X10),cons(X10,skaf43(X10,cons(sk5,sk3)))) = cons(sk5,sk3)
| ~ memberP(sk3,X10)
| ~ ssItem(X10) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1852]) ).
fof(f1852,plain,
( ! [X10] :
( ~ ssList(cons(sk5,sk3))
| ~ ssItem(X10)
| ~ ssList(sk3)
| ~ ssList(sk3)
| app(skaf42(cons(sk5,sk3),X10),cons(X10,skaf43(X10,cons(sk5,sk3)))) = cons(sk5,sk3)
| ~ memberP(sk3,X10) )
| ~ spl0_106 ),
inference(superposition,[],[f456,f1221]) ).
fof(f456,plain,
! [X6,X7,X5] :
( ~ ssList(app(X6,X7))
| ~ ssList(X7)
| ~ ssList(X6)
| ~ memberP(X7,X5)
| ~ ssItem(X5)
| app(X6,X7) = app(skaf42(app(X6,X7),X5),cons(X5,skaf43(X5,app(X6,X7)))) ),
inference(duplicate_literal_removal,[],[f450]) ).
fof(f450,plain,
! [X6,X7,X5] :
( ~ ssList(X7)
| ~ memberP(X7,X5)
| ~ ssList(X6)
| app(X6,X7) = app(skaf42(app(X6,X7),X5),cons(X5,skaf43(X5,app(X6,X7))))
| ~ ssItem(X5)
| ~ ssItem(X5)
| ~ ssList(app(X6,X7)) ),
inference(resolution,[],[f169,f141]) ).
fof(f141,axiom,
! [X2,X0,X1] :
( memberP(app(X2,X0),X1)
| ~ memberP(X0,X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).
fof(f1923,plain,
( ~ spl0_5
| spl0_199
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1919,f1219,f280,f233,f1921,f252]) ).
fof(f1921,plain,
( spl0_199
<=> ! [X7,X8] :
( ~ ssList(X7)
| ~ segmentP(sk3,X8)
| segmentP(cons(sk5,cons(sk5,X7)),X8)
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).
fof(f1919,plain,
( ! [X8,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| ~ ssList(sk3)
| segmentP(cons(sk5,cons(sk5,X7)),X8)
| ~ segmentP(sk3,X8) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1918,f748]) ).
fof(f1918,plain,
( ! [X8,X7] :
( ~ ssList(sk3)
| ~ segmentP(sk3,X8)
| ~ ssList(X8)
| ~ ssList(X7)
| segmentP(cons(sk5,app(sk3,X7)),X8) )
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1855,f998]) ).
fof(f1855,plain,
( ! [X8,X7] :
( ~ segmentP(sk3,X8)
| ~ ssList(X7)
| ~ ssList(sk3)
| segmentP(app(cons(sk5,sk3),X7),X8)
| ~ ssList(X8) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1850]) ).
fof(f1850,plain,
( ! [X8,X7] :
( ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(sk3,X8)
| ~ ssList(sk3)
| ~ ssList(sk3)
| segmentP(app(cons(sk5,sk3),X7),X8) )
| ~ spl0_106 ),
inference(superposition,[],[f172,f1221]) ).
fof(f1917,plain,
( ~ spl0_5
| spl0_198
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1856,f1219,f1914,f252]) ).
fof(f1914,plain,
( spl0_198
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(cons(sk5,sk3),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).
fof(f1856,plain,
( ! [X1] :
( memberP(cons(sk5,sk3),X1)
| ~ ssList(sk3)
| ~ memberP(sk3,X1)
| ~ ssItem(X1) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1844]) ).
fof(f1844,plain,
( ! [X1] :
( ~ ssList(sk3)
| ~ ssItem(X1)
| memberP(cons(sk5,sk3),X1)
| ~ memberP(sk3,X1)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f141,f1221]) ).
fof(f1916,plain,
( ~ spl0_5
| spl0_198
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1857,f1219,f1914,f252]) ).
fof(f1857,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssItem(X0)
| ~ ssList(sk3)
| memberP(cons(sk5,sk3),X0) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1843]) ).
fof(f1843,plain,
( ! [X0] :
( memberP(cons(sk5,sk3),X0)
| ~ memberP(sk3,X0)
| ~ ssList(sk3)
| ~ ssItem(X0)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f140,f1221]) ).
fof(f140,axiom,
! [X2,X0,X1] :
( memberP(app(X0,X2),X1)
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).
fof(f1912,plain,
( ~ spl0_5
| spl0_192
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1858,f1219,f1882,f252]) ).
fof(f1882,plain,
( spl0_192
<=> ! [X4] :
( sk3 = X4
| ~ ssList(X4)
| cons(sk5,sk3) != app(X4,sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_192])]) ).
fof(f1858,plain,
( ! [X5] :
( sk3 = X5
| ~ ssList(X5)
| ~ ssList(sk3)
| app(X5,sk3) != cons(sk5,sk3) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1848]) ).
fof(f1848,plain,
( ! [X5] :
( ~ ssList(sk3)
| sk3 = X5
| app(X5,sk3) != cons(sk5,sk3)
| ~ ssList(sk3)
| ~ ssList(X5) )
| ~ spl0_106 ),
inference(superposition,[],[f151,f1221]) ).
fof(f1911,plain,
( ~ spl0_194
| spl0_21
| ~ spl0_5
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1859,f1219,f252,f325,f1890]) ).
fof(f1859,plain,
( ~ ssList(sk3)
| nil = sk3
| nil != cons(sk5,sk3)
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1842]) ).
fof(f1842,plain,
( ~ ssList(sk3)
| nil = sk3
| nil != cons(sk5,sk3)
| ~ ssList(sk3)
| ~ spl0_106 ),
inference(superposition,[],[f119,f1221]) ).
fof(f1910,plain,
( spl0_197
| ~ spl0_5
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1860,f1219,f252,f1908]) ).
fof(f1908,plain,
( spl0_197
<=> ! [X6] :
( ~ ssItem(X6)
| memberP(sk3,X6)
| ~ memberP(cons(sk5,sk3),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).
fof(f1860,plain,
( ! [X6] :
( ~ ssList(sk3)
| ~ ssItem(X6)
| ~ memberP(cons(sk5,sk3),X6)
| memberP(sk3,X6) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1849]) ).
fof(f1849,plain,
( ! [X6] :
( memberP(sk3,X6)
| ~ ssItem(X6)
| memberP(sk3,X6)
| ~ memberP(cons(sk5,sk3),X6)
| ~ ssList(sk3)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f158,f1221]) ).
fof(f158,axiom,
! [X2,X0,X1] :
( ~ memberP(app(X0,X1),X2)
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| memberP(X1,X2)
| memberP(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).
fof(f1906,plain,
( ~ spl0_5
| spl0_195
| ~ spl0_191
| ~ spl0_38
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1839,f1219,f501,f1877,f1895,f252]) ).
fof(f501,plain,
( spl0_38
<=> ! [X0] :
( ~ ssList(app(X0,sk3))
| memberP(app(X0,sk3),sk5)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1839,plain,
( ~ ssList(cons(sk5,sk3))
| memberP(cons(sk5,sk3),sk5)
| ~ ssList(sk3)
| ~ spl0_38
| ~ spl0_106 ),
inference(superposition,[],[f502,f1221]) ).
fof(f502,plain,
( ! [X0] :
( ~ ssList(app(X0,sk3))
| memberP(app(X0,sk3),sk5)
| ~ ssList(X0) )
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f1905,plain,
( ~ spl0_5
| spl0_196
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1904,f1219,f280,f233,f1901,f252]) ).
fof(f1901,plain,
( spl0_196
<=> ! [X2] :
( sk3 = X2
| cons(sk5,X2) != cons(sk5,sk3)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_196])]) ).
fof(f1904,plain,
( ! [X3] :
( sk3 = X3
| cons(sk5,X3) != cons(sk5,sk3)
| ~ ssList(X3)
| ~ ssList(sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1861,f748]) ).
fof(f1861,plain,
( ! [X3] :
( ~ ssList(X3)
| app(sk3,X3) != cons(sk5,sk3)
| sk3 = X3
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1846]) ).
fof(f1846,plain,
( ! [X3] :
( ~ ssList(sk3)
| sk3 = X3
| app(sk3,X3) != cons(sk5,sk3)
| ~ ssList(sk3)
| ~ ssList(X3) )
| ~ spl0_106 ),
inference(superposition,[],[f150,f1221]) ).
fof(f1903,plain,
( ~ spl0_5
| spl0_196
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1899,f1219,f280,f233,f1901,f252]) ).
fof(f1899,plain,
( ! [X2] :
( sk3 = X2
| ~ ssList(X2)
| ~ ssList(sk3)
| cons(sk5,X2) != cons(sk5,sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1862,f748]) ).
fof(f1862,plain,
( ! [X2] :
( ~ ssList(X2)
| app(sk3,X2) != cons(sk5,sk3)
| sk3 = X2
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1845]) ).
fof(f1845,plain,
( ! [X2] :
( sk3 = X2
| ~ ssList(X2)
| ~ ssList(sk3)
| app(sk3,X2) != cons(sk5,sk3)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f150,f1221]) ).
fof(f1898,plain,
( spl0_195
| ~ spl0_5
| ~ spl0_61
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1838,f1219,f675,f252,f1895]) ).
fof(f675,plain,
( spl0_61
<=> ! [X6] :
( memberP(app(X6,sk3),sk5)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f1838,plain,
( ~ ssList(sk3)
| memberP(cons(sk5,sk3),sk5)
| ~ spl0_61
| ~ spl0_106 ),
inference(superposition,[],[f676,f1221]) ).
fof(f676,plain,
( ! [X6] :
( memberP(app(X6,sk3),sk5)
| ~ ssList(X6) )
| ~ spl0_61 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f1893,plain,
( ~ spl0_5
| spl0_21
| ~ spl0_194
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1863,f1219,f1890,f325,f252]) ).
fof(f1863,plain,
( nil != cons(sk5,sk3)
| nil = sk3
| ~ ssList(sk3)
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1841]) ).
fof(f1841,plain,
( nil != cons(sk5,sk3)
| ~ ssList(sk3)
| ~ ssList(sk3)
| nil = sk3
| ~ spl0_106 ),
inference(superposition,[],[f118,f1221]) ).
fof(f1888,plain,
( ~ spl0_191
| ~ spl0_5
| spl0_193
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1864,f1219,f1886,f252,f1877]) ).
fof(f1864,plain,
( ! [X11] :
( ~ ssItem(X11)
| ~ memberP(sk3,X11)
| ~ ssList(sk3)
| cons(sk5,sk3) = app(skaf42(cons(sk5,sk3),X11),cons(X11,skaf43(X11,cons(sk5,sk3))))
| ~ ssList(cons(sk5,sk3)) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1853]) ).
fof(f1853,plain,
( ! [X11] :
( ~ ssList(sk3)
| ~ ssItem(X11)
| cons(sk5,sk3) = app(skaf42(cons(sk5,sk3),X11),cons(X11,skaf43(X11,cons(sk5,sk3))))
| ~ ssList(sk3)
| ~ ssList(cons(sk5,sk3))
| ~ memberP(sk3,X11) )
| ~ spl0_106 ),
inference(superposition,[],[f457,f1221]) ).
fof(f457,plain,
! [X10,X8,X9] :
( ~ ssList(app(X9,X10))
| ~ ssItem(X8)
| ~ ssList(X9)
| ~ memberP(X9,X8)
| ~ ssList(X10)
| app(skaf42(app(X9,X10),X8),cons(X8,skaf43(X8,app(X9,X10)))) = app(X9,X10) ),
inference(duplicate_literal_removal,[],[f451]) ).
fof(f451,plain,
! [X10,X8,X9] :
( ~ ssItem(X8)
| ~ memberP(X9,X8)
| ~ ssList(X9)
| ~ ssList(X10)
| ~ ssList(app(X9,X10))
| app(skaf42(app(X9,X10),X8),cons(X8,skaf43(X8,app(X9,X10)))) = app(X9,X10)
| ~ ssItem(X8) ),
inference(resolution,[],[f169,f140]) ).
fof(f1884,plain,
( ~ spl0_5
| spl0_192
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1865,f1219,f1882,f252]) ).
fof(f1865,plain,
( ! [X4] :
( sk3 = X4
| ~ ssList(sk3)
| cons(sk5,sk3) != app(X4,sk3)
| ~ ssList(X4) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1847]) ).
fof(f1847,plain,
( ! [X4] :
( cons(sk5,sk3) != app(X4,sk3)
| sk3 = X4
| ~ ssList(X4)
| ~ ssList(sk3)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f151,f1221]) ).
fof(f1880,plain,
( ~ spl0_5
| spl0_191
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1866,f1219,f1877,f252]) ).
fof(f1866,plain,
( ssList(cons(sk5,sk3))
| ~ ssList(sk3)
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1840]) ).
fof(f1840,plain,
( ~ ssList(sk3)
| ~ ssList(sk3)
| ssList(cons(sk5,sk3))
| ~ spl0_106 ),
inference(superposition,[],[f85,f1221]) ).
fof(f1875,plain,
( ~ spl0_5
| spl0_190
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(avatar_split_clause,[],[f1871,f1219,f280,f233,f1873,f252]) ).
fof(f1873,plain,
( spl0_190
<=> ! [X9] :
( ~ ssList(X9)
| ~ ssList(cons(sk5,cons(sk5,X9)))
| segmentP(cons(sk5,cons(sk5,X9)),sk3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_190])]) ).
fof(f1871,plain,
( ! [X9] :
( ~ ssList(X9)
| segmentP(cons(sk5,cons(sk5,X9)),sk3)
| ~ ssList(sk3)
| ~ ssList(cons(sk5,cons(sk5,X9))) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1870,f748]) ).
fof(f1870,plain,
( ! [X9] :
( ~ ssList(sk3)
| ~ ssList(cons(sk5,app(sk3,X9)))
| ~ ssList(X9)
| segmentP(cons(sk5,cons(sk5,X9)),sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1869,f998]) ).
fof(f1869,plain,
( ! [X9] :
( segmentP(cons(sk5,cons(sk5,X9)),sk3)
| ~ ssList(app(cons(sk5,sk3),X9))
| ~ ssList(sk3)
| ~ ssList(X9) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1868,f748]) ).
fof(f1868,plain,
( ! [X9] :
( ~ ssList(X9)
| segmentP(cons(sk5,app(sk3,X9)),sk3)
| ~ ssList(app(cons(sk5,sk3),X9))
| ~ ssList(sk3) )
| ~ spl0_11
| ~ spl0_106 ),
inference(forward_subsumption_demodulation,[],[f1867,f998]) ).
fof(f1867,plain,
( ! [X9] :
( ~ ssList(sk3)
| segmentP(app(cons(sk5,sk3),X9),sk3)
| ~ ssList(X9)
| ~ ssList(app(cons(sk5,sk3),X9)) )
| ~ spl0_106 ),
inference(duplicate_literal_removal,[],[f1851]) ).
fof(f1851,plain,
( ! [X9] :
( ~ ssList(sk3)
| ~ ssList(app(cons(sk5,sk3),X9))
| ~ ssList(X9)
| segmentP(app(cons(sk5,sk3),X9),sk3)
| ~ ssList(sk3) )
| ~ spl0_106 ),
inference(superposition,[],[f205,f1221]) ).
fof(f1836,plain,
( spl0_189
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1804,f1445,f1833]) ).
fof(f1833,plain,
( spl0_189
<=> app(nil,app(skaf47(sk3,sk3),sk3)) = app(skaf47(sk3,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_189])]) ).
fof(f1445,plain,
( spl0_142
<=> ssList(app(skaf47(sk3,sk3),sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).
fof(f1804,plain,
( app(nil,app(skaf47(sk3,sk3),sk3)) = app(skaf47(sk3,sk3),sk3)
| ~ spl0_142 ),
inference(resolution,[],[f1446,f74]) ).
fof(f1446,plain,
( ssList(app(skaf47(sk3,sk3),sk3))
| ~ spl0_142 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1831,plain,
( spl0_188
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1803,f1445,f1828]) ).
fof(f1828,plain,
( spl0_188
<=> app(skaf47(sk3,sk3),sk3) = app(app(skaf47(sk3,sk3),sk3),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_188])]) ).
fof(f1803,plain,
( app(skaf47(sk3,sk3),sk3) = app(app(skaf47(sk3,sk3),sk3),nil)
| ~ spl0_142 ),
inference(resolution,[],[f1446,f73]) ).
fof(f1826,plain,
( spl0_187
| ~ spl0_1
| ~ spl0_11
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1808,f1445,f280,f233,f1823]) ).
fof(f1808,plain,
( app(sk3,app(skaf47(sk3,sk3),sk3)) = cons(sk5,app(skaf47(sk3,sk3),sk3))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_142 ),
inference(resolution,[],[f1446,f748]) ).
fof(f1821,plain,
( spl0_186
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1806,f1445,f1818]) ).
fof(f1818,plain,
( spl0_186
<=> app(skaf47(sk3,sk3),sk3) = app(app(skaf47(app(skaf47(sk3,sk3),sk3),app(skaf47(sk3,sk3),sk3)),app(skaf47(sk3,sk3),sk3)),skaf48(app(skaf47(sk3,sk3),sk3),app(skaf47(sk3,sk3),sk3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).
fof(f1806,plain,
( app(skaf47(sk3,sk3),sk3) = app(app(skaf47(app(skaf47(sk3,sk3),sk3),app(skaf47(sk3,sk3),sk3)),app(skaf47(sk3,sk3),sk3)),skaf48(app(skaf47(sk3,sk3),sk3),app(skaf47(sk3,sk3),sk3)))
| ~ spl0_142 ),
inference(resolution,[],[f1446,f438]) ).
fof(f1816,plain,
( spl0_185
| ~ spl0_33
| ~ spl0_142 ),
inference(avatar_split_clause,[],[f1807,f1445,f445,f1813]) ).
fof(f1813,plain,
( spl0_185
<=> app(skaf47(app(skaf47(sk3,sk3),sk3),nil),skaf48(nil,app(skaf47(sk3,sk3),sk3))) = app(skaf47(sk3,sk3),sk3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).
fof(f1807,plain,
( app(skaf47(app(skaf47(sk3,sk3),sk3),nil),skaf48(nil,app(skaf47(sk3,sk3),sk3))) = app(skaf47(sk3,sk3),sk3)
| ~ spl0_33
| ~ spl0_142 ),
inference(resolution,[],[f1446,f610]) ).
fof(f1799,plain,
spl0_184,
inference(avatar_contradiction_clause,[],[f1798]) ).
fof(f1798,plain,
( $false
| spl0_184 ),
inference(resolution,[],[f1796,f49]) ).
fof(f1796,plain,
( ~ ssList(skaf47(sk3,sk3))
| spl0_184 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1794,plain,
( spl0_184
<=> ssList(skaf47(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).
fof(f1797,plain,
( ~ spl0_5
| ~ spl0_184
| spl0_142 ),
inference(avatar_split_clause,[],[f1792,f1445,f1794,f252]) ).
fof(f1792,plain,
( ~ ssList(skaf47(sk3,sk3))
| ~ ssList(sk3)
| spl0_142 ),
inference(resolution,[],[f1447,f85]) ).
fof(f1447,plain,
( ~ ssList(app(skaf47(sk3,sk3),sk3))
| spl0_142 ),
inference(avatar_component_clause,[],[f1445]) ).
fof(f1791,plain,
( spl0_183
| ~ spl0_11
| ~ spl0_41
| ~ spl0_182 ),
inference(avatar_split_clause,[],[f1786,f1689,f520,f280,f1788]) ).
fof(f520,plain,
( spl0_41
<=> ssList(skaf48(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f1689,plain,
( spl0_182
<=> memberP(skaf48(nil,sk4),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).
fof(f1786,plain,
( ~ ssList(skaf48(nil,sk4))
| ~ ssItem(sk5)
| skaf48(nil,sk4) = app(skaf42(skaf48(nil,sk4),sk5),cons(sk5,skaf43(sk5,skaf48(nil,sk4))))
| ~ spl0_182 ),
inference(resolution,[],[f1691,f169]) ).
fof(f1691,plain,
( memberP(skaf48(nil,sk4),sk5)
| ~ spl0_182 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f1692,plain,
( ~ spl0_11
| spl0_181
| spl0_182
| ~ spl0_8
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1683,f690,f268,f1689,f1685,f280]) ).
fof(f1685,plain,
( spl0_181
<=> memberP(skaf47(sk4,nil),sk5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).
fof(f690,plain,
( spl0_63
<=> ! [X3] :
( ~ memberP(sk4,X3)
| memberP(skaf48(nil,sk4),X3)
| memberP(skaf47(sk4,nil),X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f1683,plain,
( memberP(skaf48(nil,sk4),sk5)
| memberP(skaf47(sk4,nil),sk5)
| ~ ssItem(sk5)
| ~ spl0_8
| ~ spl0_63 ),
inference(resolution,[],[f691,f270]) ).
fof(f691,plain,
( ! [X3] :
( ~ memberP(sk4,X3)
| ~ ssItem(X3)
| memberP(skaf48(nil,sk4),X3)
| memberP(skaf47(sk4,nil),X3) )
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f1682,plain,
( ~ spl0_3
| spl0_180
| ~ spl0_54 ),
inference(avatar_split_clause,[],[f1673,f579,f1680,f242]) ).
fof(f1680,plain,
( spl0_180
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).
fof(f579,plain,
( spl0_54
<=> ! [X0] :
( segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(app(sk4,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f1673,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4) )
| ~ spl0_54 ),
inference(duplicate_literal_removal,[],[f1671]) ).
fof(f1671,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssList(X0) )
| ~ spl0_54 ),
inference(resolution,[],[f580,f85]) ).
fof(f580,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(X0)
| segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4))) )
| ~ spl0_54 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f1678,plain,
( spl0_179
| ~ spl0_3
| ~ spl0_13
| ~ spl0_54
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1672,f619,f579,f290,f242,f1675]) ).
fof(f1672,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| segmentP(sk4,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_54
| ~ spl0_57 ),
inference(superposition,[],[f580,f621]) ).
fof(f1670,plain,
( spl0_178
| ~ spl0_1
| ~ spl0_11
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1640,f1374,f280,f233,f1667]) ).
fof(f1374,plain,
( spl0_129
<=> ssList(app(skaf47(sk4,sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).
fof(f1640,plain,
( app(sk3,app(skaf47(sk4,sk4),sk4)) = cons(sk5,app(skaf47(sk4,sk4),sk4))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_129 ),
inference(resolution,[],[f1375,f748]) ).
fof(f1375,plain,
( ssList(app(skaf47(sk4,sk4),sk4))
| ~ spl0_129 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1665,plain,
( spl0_177
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1645,f1374,f1662]) ).
fof(f1662,plain,
( spl0_177
<=> app(skaf47(sk4,sk4),sk4) = app(app(skaf47(sk4,sk4),sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).
fof(f1645,plain,
( app(skaf47(sk4,sk4),sk4) = app(app(skaf47(sk4,sk4),sk4),nil)
| ~ spl0_129 ),
inference(resolution,[],[f1375,f73]) ).
fof(f1660,plain,
( spl0_176
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1642,f1374,f1657]) ).
fof(f1657,plain,
( spl0_176
<=> app(skaf47(sk4,sk4),sk4) = app(app(skaf47(app(skaf47(sk4,sk4),sk4),app(skaf47(sk4,sk4),sk4)),app(skaf47(sk4,sk4),sk4)),skaf48(app(skaf47(sk4,sk4),sk4),app(skaf47(sk4,sk4),sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).
fof(f1642,plain,
( app(skaf47(sk4,sk4),sk4) = app(app(skaf47(app(skaf47(sk4,sk4),sk4),app(skaf47(sk4,sk4),sk4)),app(skaf47(sk4,sk4),sk4)),skaf48(app(skaf47(sk4,sk4),sk4),app(skaf47(sk4,sk4),sk4)))
| ~ spl0_129 ),
inference(resolution,[],[f1375,f438]) ).
fof(f1655,plain,
( spl0_175
| ~ spl0_33
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1643,f1374,f445,f1652]) ).
fof(f1652,plain,
( spl0_175
<=> app(skaf47(sk4,sk4),sk4) = app(skaf47(app(skaf47(sk4,sk4),sk4),nil),skaf48(nil,app(skaf47(sk4,sk4),sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).
fof(f1643,plain,
( app(skaf47(sk4,sk4),sk4) = app(skaf47(app(skaf47(sk4,sk4),sk4),nil),skaf48(nil,app(skaf47(sk4,sk4),sk4)))
| ~ spl0_33
| ~ spl0_129 ),
inference(resolution,[],[f1375,f610]) ).
fof(f1650,plain,
( spl0_174
| ~ spl0_129 ),
inference(avatar_split_clause,[],[f1644,f1374,f1647]) ).
fof(f1644,plain,
( app(nil,app(skaf47(sk4,sk4),sk4)) = app(skaf47(sk4,sk4),sk4)
| ~ spl0_129 ),
inference(resolution,[],[f1375,f74]) ).
fof(f1637,plain,
spl0_173,
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| spl0_173 ),
inference(resolution,[],[f1633,f49]) ).
fof(f1633,plain,
( ~ ssList(skaf47(sk4,sk4))
| spl0_173 ),
inference(avatar_component_clause,[],[f1631]) ).
fof(f1631,plain,
( spl0_173
<=> ssList(skaf47(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).
fof(f1634,plain,
( ~ spl0_3
| ~ spl0_173
| spl0_129 ),
inference(avatar_split_clause,[],[f1629,f1374,f1631,f242]) ).
fof(f1629,plain,
( ~ ssList(skaf47(sk4,sk4))
| ~ ssList(sk4)
| spl0_129 ),
inference(resolution,[],[f1376,f85]) ).
fof(f1376,plain,
( ~ ssList(app(skaf47(sk4,sk4),sk4))
| spl0_129 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f1628,plain,
( spl0_172
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1603,f1308,f1625]) ).
fof(f1603,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(cons(sk5,skaf43(sk5,sk3)),nil)
| ~ spl0_118 ),
inference(resolution,[],[f1309,f73]) ).
fof(f1623,plain,
( spl0_171
| ~ spl0_33
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1601,f1308,f445,f1620]) ).
fof(f1620,plain,
( spl0_171
<=> cons(sk5,skaf43(sk5,sk3)) = app(skaf47(cons(sk5,skaf43(sk5,sk3)),nil),skaf48(nil,cons(sk5,skaf43(sk5,sk3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).
fof(f1601,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(skaf47(cons(sk5,skaf43(sk5,sk3)),nil),skaf48(nil,cons(sk5,skaf43(sk5,sk3))))
| ~ spl0_33
| ~ spl0_118 ),
inference(resolution,[],[f1309,f610]) ).
fof(f1618,plain,
( spl0_170
| ~ spl0_1
| ~ spl0_11
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1598,f1308,f280,f233,f1615]) ).
fof(f1598,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk3))) = app(sk3,cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_118 ),
inference(resolution,[],[f1309,f748]) ).
fof(f1613,plain,
( spl0_169
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1602,f1308,f1610]) ).
fof(f1602,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(nil,cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_118 ),
inference(resolution,[],[f1309,f74]) ).
fof(f1608,plain,
( spl0_168
| ~ spl0_118 ),
inference(avatar_split_clause,[],[f1600,f1308,f1605]) ).
fof(f1600,plain,
( cons(sk5,skaf43(sk5,sk3)) = app(app(skaf47(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3))),cons(sk5,skaf43(sk5,sk3))),skaf48(cons(sk5,skaf43(sk5,sk3)),cons(sk5,skaf43(sk5,sk3))))
| ~ spl0_118 ),
inference(resolution,[],[f1309,f438]) ).
fof(f1595,plain,
spl0_167,
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1594,plain,
( $false
| spl0_167 ),
inference(resolution,[],[f1592,f52]) ).
fof(f1592,plain,
( ~ ssList(skaf43(sk5,sk3))
| spl0_167 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl0_167
<=> ssList(skaf43(sk5,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).
fof(f1593,plain,
( ~ spl0_11
| ~ spl0_167
| spl0_118 ),
inference(avatar_split_clause,[],[f1588,f1308,f1590,f280]) ).
fof(f1588,plain,
( ~ ssList(skaf43(sk5,sk3))
| ~ ssItem(sk5)
| spl0_118 ),
inference(resolution,[],[f1310,f86]) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f1310,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| spl0_118 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1586,plain,
( ~ spl0_41
| ~ spl0_13
| spl0_166
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f1580,f545,f1584,f290,f520]) ).
fof(f1584,plain,
( spl0_166
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(sk4,X0),nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).
fof(f545,plain,
( spl0_47
<=> ! [X2,X3] :
( ~ ssList(X3)
| ~ segmentP(skaf48(nil,sk4),X3)
| ~ ssList(X2)
| segmentP(app(sk4,X2),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f1580,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(sk4,X0),nil)
| ~ ssList(skaf48(nil,sk4)) )
| ~ spl0_47 ),
inference(resolution,[],[f546,f56]) ).
fof(f56,axiom,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).
fof(f546,plain,
( ! [X2,X3] :
( ~ segmentP(skaf48(nil,sk4),X3)
| ~ ssList(X2)
| ~ ssList(X3)
| segmentP(app(sk4,X2),X3) )
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f1579,plain,
( ~ spl0_41
| spl0_165
| ~ spl0_3
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1547,f1540,f242,f1576,f520]) ).
fof(f1576,plain,
( spl0_165
<=> sk4 = app(app(skaf47(sk4,skaf48(nil,sk4)),skaf48(nil,sk4)),skaf48(skaf48(nil,sk4),sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).
fof(f1540,plain,
( spl0_158
<=> segmentP(sk4,skaf48(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).
fof(f1547,plain,
( ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,skaf48(nil,sk4)),skaf48(nil,sk4)),skaf48(skaf48(nil,sk4),sk4))
| ~ ssList(skaf48(nil,sk4))
| ~ spl0_158 ),
inference(resolution,[],[f1542,f168]) ).
fof(f1542,plain,
( segmentP(sk4,skaf48(nil,sk4))
| ~ spl0_158 ),
inference(avatar_component_clause,[],[f1540]) ).
fof(f1574,plain,
( spl0_163
| ~ spl0_3
| ~ spl0_41
| ~ spl0_164
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1549,f1540,f1571,f520,f242,f1567]) ).
fof(f1567,plain,
( spl0_163
<=> sk4 = skaf48(nil,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).
fof(f1571,plain,
( spl0_164
<=> segmentP(skaf48(nil,sk4),sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).
fof(f1549,plain,
( ~ segmentP(skaf48(nil,sk4),sk4)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(sk4)
| sk4 = skaf48(nil,sk4)
| ~ spl0_158 ),
inference(resolution,[],[f1542,f127]) ).
fof(f1565,plain,
( ~ spl0_41
| ~ spl0_3
| spl0_162
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1546,f1540,f1563,f242,f520]) ).
fof(f1563,plain,
( spl0_162
<=> ! [X6,X4,X5] :
( segmentP(X4,skaf48(nil,sk4))
| ~ ssList(X5)
| ~ segmentP(X4,app(X5,app(sk4,X6)))
| ~ ssList(X4)
| ~ ssList(app(X5,app(sk4,X6)))
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).
fof(f1546,plain,
( ! [X6,X4,X5] :
( segmentP(X4,skaf48(nil,sk4))
| ~ ssList(sk4)
| ~ ssList(app(X5,app(sk4,X6)))
| ~ ssList(X6)
| ~ ssList(X4)
| ~ ssList(skaf48(nil,sk4))
| ~ segmentP(X4,app(X5,app(sk4,X6)))
| ~ ssList(X5) )
| ~ spl0_158 ),
inference(resolution,[],[f1542,f496]) ).
fof(f1561,plain,
( ~ spl0_3
| ~ spl0_41
| spl0_161
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1548,f1540,f1559,f520,f242]) ).
fof(f1559,plain,
( spl0_161
<=> ! [X7] :
( ~ segmentP(X7,sk4)
| segmentP(X7,skaf48(nil,sk4))
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).
fof(f1548,plain,
( ! [X7] :
( ~ segmentP(X7,sk4)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(X7)
| segmentP(X7,skaf48(nil,sk4))
| ~ ssList(sk4) )
| ~ spl0_158 ),
inference(resolution,[],[f1542,f152]) ).
fof(f1557,plain,
( ~ spl0_41
| ~ spl0_3
| spl0_160
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1545,f1540,f1555,f242,f520]) ).
fof(f1555,plain,
( spl0_160
<=> ! [X2,X3] :
( skaf48(nil,sk4) = app(X2,app(sk4,X3))
| ~ segmentP(skaf48(nil,sk4),app(X2,app(sk4,X3)))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(X2,app(sk4,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).
fof(f1545,plain,
( ! [X2,X3] :
( skaf48(nil,sk4) = app(X2,app(sk4,X3))
| ~ ssList(sk4)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(app(X2,app(sk4,X3)))
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(skaf48(nil,sk4),app(X2,app(sk4,X3))) )
| ~ spl0_158 ),
inference(resolution,[],[f1542,f494]) ).
fof(f1553,plain,
( ~ spl0_41
| ~ spl0_3
| spl0_159
| ~ spl0_158 ),
inference(avatar_split_clause,[],[f1544,f1540,f1551,f242,f520]) ).
fof(f1551,plain,
( spl0_159
<=> ! [X0,X1] :
( app(app(skaf47(app(X0,app(sk4,X1)),skaf48(nil,sk4)),skaf48(nil,sk4)),skaf48(skaf48(nil,sk4),app(X0,app(sk4,X1)))) = app(X0,app(sk4,X1))
| ~ ssList(X1)
| ~ ssList(app(X0,app(sk4,X1)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).
fof(f1544,plain,
( ! [X0,X1] :
( app(app(skaf47(app(X0,app(sk4,X1)),skaf48(nil,sk4)),skaf48(nil,sk4)),skaf48(skaf48(nil,sk4),app(X0,app(sk4,X1)))) = app(X0,app(sk4,X1))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(app(X0,app(sk4,X1)))
| ~ ssList(X1) )
| ~ spl0_158 ),
inference(resolution,[],[f1542,f498]) ).
fof(f1543,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_158
| ~ spl0_45
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1533,f619,f537,f1540,f290,f242]) ).
fof(f537,plain,
( spl0_45
<=> ! [X1] :
( segmentP(app(sk4,X1),skaf48(nil,sk4))
| ~ ssList(X1)
| ~ ssList(app(sk4,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f1533,plain,
( segmentP(sk4,skaf48(nil,sk4))
| ~ ssList(nil)
| ~ ssList(sk4)
| ~ spl0_45
| ~ spl0_57 ),
inference(superposition,[],[f538,f621]) ).
fof(f538,plain,
( ! [X1] :
( ~ ssList(app(sk4,X1))
| ~ ssList(X1)
| segmentP(app(sk4,X1),skaf48(nil,sk4)) )
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f1538,plain,
( ~ spl0_3
| spl0_157
| ~ spl0_45 ),
inference(avatar_split_clause,[],[f1534,f537,f1536,f242]) ).
fof(f1536,plain,
( spl0_157
<=> ! [X0] :
( segmentP(app(sk4,X0),skaf48(nil,sk4))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).
fof(f1534,plain,
( ! [X0] :
( segmentP(app(sk4,X0),skaf48(nil,sk4))
| ~ ssList(sk4)
| ~ ssList(X0) )
| ~ spl0_45 ),
inference(duplicate_literal_removal,[],[f1532]) ).
fof(f1532,plain,
( ! [X0] :
( segmentP(app(sk4,X0),skaf48(nil,sk4))
| ~ ssList(sk4)
| ~ ssList(X0)
| ~ ssList(X0) )
| ~ spl0_45 ),
inference(resolution,[],[f538,f85]) ).
fof(f1531,plain,
( spl0_156
| ~ spl0_1
| ~ spl0_11
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1501,f1251,f280,f233,f1528]) ).
fof(f1501,plain,
( app(sk3,cons(sk5,sk4)) = cons(sk5,cons(sk5,sk4))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_110 ),
inference(resolution,[],[f1252,f748]) ).
fof(f1252,plain,
( ssList(cons(sk5,sk4))
| ~ spl0_110 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1526,plain,
( spl0_155
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1506,f1251,f1523]) ).
fof(f1523,plain,
( spl0_155
<=> cons(sk5,sk4) = app(cons(sk5,sk4),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).
fof(f1506,plain,
( cons(sk5,sk4) = app(cons(sk5,sk4),nil)
| ~ spl0_110 ),
inference(resolution,[],[f1252,f73]) ).
fof(f1521,plain,
( spl0_154
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1503,f1251,f1518]) ).
fof(f1518,plain,
( spl0_154
<=> app(app(skaf47(cons(sk5,sk4),cons(sk5,sk4)),cons(sk5,sk4)),skaf48(cons(sk5,sk4),cons(sk5,sk4))) = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).
fof(f1503,plain,
( app(app(skaf47(cons(sk5,sk4),cons(sk5,sk4)),cons(sk5,sk4)),skaf48(cons(sk5,sk4),cons(sk5,sk4))) = cons(sk5,sk4)
| ~ spl0_110 ),
inference(resolution,[],[f1252,f438]) ).
fof(f1516,plain,
( spl0_153
| ~ spl0_33
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1504,f1251,f445,f1513]) ).
fof(f1513,plain,
( spl0_153
<=> cons(sk5,sk4) = app(skaf47(cons(sk5,sk4),nil),skaf48(nil,cons(sk5,sk4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).
fof(f1504,plain,
( cons(sk5,sk4) = app(skaf47(cons(sk5,sk4),nil),skaf48(nil,cons(sk5,sk4)))
| ~ spl0_33
| ~ spl0_110 ),
inference(resolution,[],[f1252,f610]) ).
fof(f1511,plain,
( spl0_152
| ~ spl0_110 ),
inference(avatar_split_clause,[],[f1505,f1251,f1508]) ).
fof(f1505,plain,
( cons(sk5,sk4) = app(nil,cons(sk5,sk4))
| ~ spl0_110 ),
inference(resolution,[],[f1252,f74]) ).
fof(f1498,plain,
spl0_141,
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| spl0_141 ),
inference(resolution,[],[f1443,f48]) ).
fof(f1443,plain,
( ~ ssList(skaf48(sk3,sk3))
| spl0_141 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1441,plain,
( spl0_141
<=> ssList(skaf48(sk3,sk3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).
fof(f1496,plain,
( ~ spl0_11
| ~ spl0_72
| spl0_151
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f1492,f571,f1494,f812,f280]) ).
fof(f1494,plain,
( spl0_151
<=> ! [X0] :
( memberP(sk4,X0)
| ~ ssItem(X0)
| ~ memberP(skaf43(sk5,sk4),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).
fof(f571,plain,
( spl0_52
<=> ! [X4] :
( ~ memberP(cons(sk5,skaf43(sk5,sk4)),X4)
| ~ ssItem(X4)
| memberP(sk4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f1492,plain,
( ! [X0] :
( memberP(sk4,X0)
| ~ ssList(skaf43(sk5,sk4))
| ~ memberP(skaf43(sk5,sk4),X0)
| ~ ssItem(sk5)
| ~ ssItem(X0) )
| ~ spl0_52 ),
inference(duplicate_literal_removal,[],[f1490]) ).
fof(f1490,plain,
( ! [X0] :
( ~ ssItem(sk5)
| ~ ssItem(X0)
| ~ ssList(skaf43(sk5,sk4))
| ~ ssItem(X0)
| ~ memberP(skaf43(sk5,sk4),X0)
| memberP(sk4,X0) )
| ~ spl0_52 ),
inference(resolution,[],[f572,f139]) ).
fof(f572,plain,
( ! [X4] :
( ~ memberP(cons(sk5,skaf43(sk5,sk4)),X4)
| ~ ssItem(X4)
| memberP(sk4,X4) )
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f1488,plain,
spl0_130,
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| spl0_130 ),
inference(resolution,[],[f1380,f48]) ).
fof(f1380,plain,
( ~ ssList(skaf48(sk4,sk4))
| spl0_130 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1378,plain,
( spl0_130
<=> ssList(skaf48(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).
fof(f1486,plain,
spl0_119,
inference(avatar_contradiction_clause,[],[f1485]) ).
fof(f1485,plain,
( $false
| spl0_119 ),
inference(resolution,[],[f1314,f53]) ).
fof(f1314,plain,
( ~ ssList(skaf42(sk3,sk5))
| spl0_119 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1484,plain,
( ~ spl0_5
| ~ spl0_142
| ~ spl0_141
| spl0_150
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1433,f847,f1482,f1441,f1445,f252]) ).
fof(f1482,plain,
( spl0_150
<=> ! [X11] :
( ~ ssItem(X11)
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3)))
| ~ memberP(skaf48(sk3,sk3),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).
fof(f1433,plain,
( ! [X11] :
( ~ ssItem(X11)
| ~ memberP(skaf48(sk3,sk3),X11)
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(sk3)
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3))) )
| ~ spl0_74 ),
inference(superposition,[],[f456,f849]) ).
fof(f1480,plain,
( ~ spl0_142
| ~ spl0_141
| spl0_148
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1429,f847,f1472,f1441,f1445]) ).
fof(f1472,plain,
( spl0_148
<=> ! [X5] :
( ~ ssList(X5)
| app(skaf47(sk3,sk3),sk3) = X5
| sk3 != app(X5,skaf48(sk3,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).
fof(f1429,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(skaf48(sk3,sk3))
| sk3 != app(X6,skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| app(skaf47(sk3,sk3),sk3) = X6 )
| ~ spl0_74 ),
inference(superposition,[],[f151,f849]) ).
fof(f1479,plain,
( ~ spl0_141
| spl0_143
| ~ spl0_142
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1426,f847,f1445,f1450,f1441]) ).
fof(f1450,plain,
( spl0_143
<=> ! [X4] :
( ~ ssList(X4)
| sk3 != app(app(skaf47(sk3,sk3),sk3),X4)
| skaf48(sk3,sk3) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).
fof(f1426,plain,
( ! [X3] :
( ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(X3)
| sk3 != app(app(skaf47(sk3,sk3),sk3),X3)
| skaf48(sk3,sk3) = X3
| ~ ssList(skaf48(sk3,sk3)) )
| ~ spl0_74 ),
inference(superposition,[],[f150,f849]) ).
fof(f1478,plain,
( ~ spl0_141
| ~ spl0_142
| spl0_149
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1430,f847,f1476,f1445,f1441]) ).
fof(f1476,plain,
( spl0_149
<=> ! [X7] :
( memberP(skaf48(sk3,sk3),X7)
| ~ ssItem(X7)
| ~ memberP(sk3,X7)
| memberP(app(skaf47(sk3,sk3),sk3),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).
fof(f1430,plain,
( ! [X7] :
( memberP(skaf48(sk3,sk3),X7)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| memberP(app(skaf47(sk3,sk3),sk3),X7)
| ~ memberP(sk3,X7)
| ~ ssItem(X7)
| ~ ssList(skaf48(sk3,sk3)) )
| ~ spl0_74 ),
inference(superposition,[],[f158,f849]) ).
fof(f1474,plain,
( ~ spl0_141
| ~ spl0_142
| spl0_148
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1428,f847,f1472,f1445,f1441]) ).
fof(f1428,plain,
( ! [X5] :
( ~ ssList(X5)
| sk3 != app(X5,skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| app(skaf47(sk3,sk3),sk3) = X5 )
| ~ spl0_74 ),
inference(superposition,[],[f151,f849]) ).
fof(f1470,plain,
( ~ spl0_142
| ~ spl0_5
| spl0_147
| ~ spl0_141
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1434,f847,f1441,f1468,f252,f1445]) ).
fof(f1468,plain,
( spl0_147
<=> ! [X12] :
( ~ memberP(app(skaf47(sk3,sk3),sk3),X12)
| sk3 = app(skaf42(sk3,X12),cons(X12,skaf43(X12,sk3)))
| ~ ssItem(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).
fof(f1434,plain,
( ! [X12] :
( ~ ssList(skaf48(sk3,sk3))
| ~ memberP(app(skaf47(sk3,sk3),sk3),X12)
| ~ ssItem(X12)
| ~ ssList(sk3)
| sk3 = app(skaf42(sk3,X12),cons(X12,skaf43(X12,sk3)))
| ~ ssList(app(skaf47(sk3,sk3),sk3)) )
| ~ spl0_74 ),
inference(superposition,[],[f457,f849]) ).
fof(f1466,plain,
( ~ spl0_141
| ~ spl0_142
| spl0_146
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1424,f847,f1464,f1445,f1441]) ).
fof(f1464,plain,
( spl0_146
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(sk3,X1)
| ~ memberP(app(skaf47(sk3,sk3),sk3),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).
fof(f1424,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ memberP(app(skaf47(sk3,sk3),sk3),X1)
| memberP(sk3,X1)
| ~ ssList(skaf48(sk3,sk3)) )
| ~ spl0_74 ),
inference(superposition,[],[f140,f849]) ).
fof(f1462,plain,
( ~ spl0_142
| ~ spl0_141
| spl0_145
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1425,f847,f1460,f1441,f1445]) ).
fof(f1460,plain,
( spl0_145
<=> ! [X2] :
( ~ memberP(skaf48(sk3,sk3),X2)
| ~ ssItem(X2)
| memberP(sk3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).
fof(f1425,plain,
( ! [X2] :
( ~ memberP(skaf48(sk3,sk3),X2)
| ~ ssList(skaf48(sk3,sk3))
| memberP(sk3,X2)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssItem(X2) )
| ~ spl0_74 ),
inference(superposition,[],[f141,f849]) ).
fof(f1458,plain,
( ~ spl0_141
| ~ spl0_142
| spl0_144
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1454,f847,f280,f233,f1456,f1445,f1441]) ).
fof(f1456,plain,
( spl0_144
<=> ! [X10] :
( segmentP(cons(sk5,X10),skaf48(sk3,sk3))
| ~ ssList(cons(sk5,X10))
| ~ ssList(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).
fof(f1454,plain,
( ! [X10] :
( segmentP(cons(sk5,X10),skaf48(sk3,sk3))
| ~ ssList(X10)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(cons(sk5,X10)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(forward_subsumption_demodulation,[],[f1453,f748]) ).
fof(f1453,plain,
( ! [X10] :
( ~ ssList(X10)
| segmentP(app(sk3,X10),skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(cons(sk5,X10)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(forward_subsumption_demodulation,[],[f1432,f748]) ).
fof(f1432,plain,
( ! [X10] :
( ~ ssList(X10)
| ~ ssList(app(sk3,X10))
| ~ ssList(skaf48(sk3,sk3))
| segmentP(app(sk3,X10),skaf48(sk3,sk3))
| ~ ssList(app(skaf47(sk3,sk3),sk3)) )
| ~ spl0_74 ),
inference(superposition,[],[f205,f849]) ).
fof(f1452,plain,
( ~ spl0_141
| ~ spl0_142
| spl0_143
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1427,f847,f1450,f1445,f1441]) ).
fof(f1427,plain,
( ! [X4] :
( ~ ssList(X4)
| skaf48(sk3,sk3) = X4
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| sk3 != app(app(skaf47(sk3,sk3),sk3),X4) )
| ~ spl0_74 ),
inference(superposition,[],[f150,f849]) ).
fof(f1448,plain,
( spl0_140
| ~ spl0_141
| ~ spl0_142
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1436,f847,f280,f233,f1445,f1441,f1438]) ).
fof(f1438,plain,
( spl0_140
<=> ! [X9,X8] :
( ~ ssList(X8)
| segmentP(cons(sk5,X8),X9)
| ~ segmentP(skaf48(sk3,sk3),X9)
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).
fof(f1436,plain,
( ! [X8,X9] :
( ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(X8)
| ~ segmentP(skaf48(sk3,sk3),X9)
| ~ ssList(X9)
| segmentP(cons(sk5,X8),X9) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_74 ),
inference(forward_subsumption_demodulation,[],[f1431,f748]) ).
fof(f1431,plain,
( ! [X8,X9] :
( segmentP(app(sk3,X8),X9)
| ~ ssList(X8)
| ~ ssList(app(skaf47(sk3,sk3),sk3))
| ~ ssList(skaf48(sk3,sk3))
| ~ ssList(X9)
| ~ segmentP(skaf48(sk3,sk3),X9) )
| ~ spl0_74 ),
inference(superposition,[],[f172,f849]) ).
fof(f1418,plain,
( ~ spl0_130
| ~ spl0_129
| spl0_139
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1361,f841,f1416,f1374,f1378]) ).
fof(f1416,plain,
( spl0_139
<=> ! [X1] :
( ~ memberP(app(skaf47(sk4,sk4),sk4),X1)
| ~ ssItem(X1)
| memberP(sk4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).
fof(f841,plain,
( spl0_73
<=> sk4 = app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).
fof(f1361,plain,
( ! [X1] :
( ~ memberP(app(skaf47(sk4,sk4),sk4),X1)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| memberP(sk4,X1)
| ~ ssItem(X1)
| ~ ssList(skaf48(sk4,sk4)) )
| ~ spl0_73 ),
inference(superposition,[],[f140,f843]) ).
fof(f843,plain,
( sk4 = app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4))
| ~ spl0_73 ),
inference(avatar_component_clause,[],[f841]) ).
fof(f1414,plain,
( spl0_131
| ~ spl0_129
| ~ spl0_130
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1363,f841,f1378,f1374,f1382]) ).
fof(f1382,plain,
( spl0_131
<=> ! [X4] :
( skaf48(sk4,sk4) = X4
| sk4 != app(app(skaf47(sk4,sk4),sk4),X4)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).
fof(f1363,plain,
( ! [X3] :
( ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| skaf48(sk4,sk4) = X3
| ~ ssList(X3)
| sk4 != app(app(skaf47(sk4,sk4),sk4),X3) )
| ~ spl0_73 ),
inference(superposition,[],[f150,f843]) ).
fof(f1413,plain,
( ~ spl0_130
| ~ spl0_3
| ~ spl0_129
| spl0_138
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1370,f841,f1411,f1374,f242,f1378]) ).
fof(f1411,plain,
( spl0_138
<=> ! [X11] :
( ~ ssItem(X11)
| sk4 = app(skaf42(sk4,X11),cons(X11,skaf43(X11,sk4)))
| ~ memberP(skaf48(sk4,sk4),X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).
fof(f1370,plain,
( ! [X11] :
( ~ ssItem(X11)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ memberP(skaf48(sk4,sk4),X11)
| ~ ssList(sk4)
| ~ ssList(skaf48(sk4,sk4))
| sk4 = app(skaf42(sk4,X11),cons(X11,skaf43(X11,sk4))) )
| ~ spl0_73 ),
inference(superposition,[],[f456,f843]) ).
fof(f1409,plain,
( ~ spl0_130
| spl0_137
| ~ spl0_129
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1367,f841,f1374,f1407,f1378]) ).
fof(f1407,plain,
( spl0_137
<=> ! [X7] :
( ~ memberP(sk4,X7)
| memberP(app(skaf47(sk4,sk4),sk4),X7)
| ~ ssItem(X7)
| memberP(skaf48(sk4,sk4),X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).
fof(f1367,plain,
( ! [X7] :
( ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ memberP(sk4,X7)
| memberP(skaf48(sk4,sk4),X7)
| ~ ssItem(X7)
| ~ ssList(skaf48(sk4,sk4))
| memberP(app(skaf47(sk4,sk4),sk4),X7) )
| ~ spl0_73 ),
inference(superposition,[],[f158,f843]) ).
fof(f1405,plain,
( ~ spl0_129
| ~ spl0_130
| spl0_135
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1366,f841,f1398,f1378,f1374]) ).
fof(f1398,plain,
( spl0_135
<=> ! [X5] :
( sk4 != app(X5,skaf48(sk4,sk4))
| app(skaf47(sk4,sk4),sk4) = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).
fof(f1366,plain,
( ! [X6] :
( sk4 != app(X6,skaf48(sk4,sk4))
| ~ ssList(X6)
| app(skaf47(sk4,sk4),sk4) = X6
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4)) )
| ~ spl0_73 ),
inference(superposition,[],[f151,f843]) ).
fof(f1404,plain,
( ~ spl0_130
| ~ spl0_129
| spl0_136
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1362,f841,f1402,f1374,f1378]) ).
fof(f1402,plain,
( spl0_136
<=> ! [X2] :
( ~ memberP(skaf48(sk4,sk4),X2)
| ~ ssItem(X2)
| memberP(sk4,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).
fof(f1362,plain,
( ! [X2] :
( ~ memberP(skaf48(sk4,sk4),X2)
| memberP(sk4,X2)
| ~ ssItem(X2)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ ssList(skaf48(sk4,sk4)) )
| ~ spl0_73 ),
inference(superposition,[],[f141,f843]) ).
fof(f1400,plain,
( ~ spl0_130
| spl0_135
| ~ spl0_129
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1365,f841,f1374,f1398,f1378]) ).
fof(f1365,plain,
( ! [X5] :
( ~ ssList(app(skaf47(sk4,sk4),sk4))
| sk4 != app(X5,skaf48(sk4,sk4))
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(X5)
| app(skaf47(sk4,sk4),sk4) = X5 )
| ~ spl0_73 ),
inference(superposition,[],[f151,f843]) ).
fof(f1396,plain,
( ~ spl0_129
| spl0_134
| ~ spl0_130
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1369,f841,f1378,f1394,f1374]) ).
fof(f1394,plain,
( spl0_134
<=> ! [X10] :
( ~ ssList(app(sk4,X10))
| ~ ssList(X10)
| segmentP(app(sk4,X10),skaf48(sk4,sk4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).
fof(f1369,plain,
( ! [X10] :
( ~ ssList(skaf48(sk4,sk4))
| ~ ssList(app(sk4,X10))
| segmentP(app(sk4,X10),skaf48(sk4,sk4))
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| ~ ssList(X10) )
| ~ spl0_73 ),
inference(superposition,[],[f205,f843]) ).
fof(f1392,plain,
( ~ spl0_129
| ~ spl0_130
| spl0_133
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1368,f841,f1390,f1378,f1374]) ).
fof(f1390,plain,
( spl0_133
<=> ! [X9,X8] :
( ~ ssList(X9)
| ~ ssList(X8)
| segmentP(app(sk4,X8),X9)
| ~ segmentP(skaf48(sk4,sk4),X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).
fof(f1368,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssList(skaf48(sk4,sk4))
| ~ segmentP(skaf48(sk4,sk4),X9)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| segmentP(app(sk4,X8),X9)
| ~ ssList(X8) )
| ~ spl0_73 ),
inference(superposition,[],[f172,f843]) ).
fof(f1388,plain,
( ~ spl0_130
| spl0_132
| ~ spl0_129
| ~ spl0_3
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1371,f841,f242,f1374,f1386,f1378]) ).
fof(f1386,plain,
( spl0_132
<=> ! [X12] :
( sk4 = app(skaf42(sk4,X12),cons(X12,skaf43(X12,sk4)))
| ~ memberP(app(skaf47(sk4,sk4),sk4),X12)
| ~ ssItem(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).
fof(f1371,plain,
( ! [X12] :
( ~ ssList(sk4)
| ~ ssList(app(skaf47(sk4,sk4),sk4))
| sk4 = app(skaf42(sk4,X12),cons(X12,skaf43(X12,sk4)))
| ~ ssList(skaf48(sk4,sk4))
| ~ ssItem(X12)
| ~ memberP(app(skaf47(sk4,sk4),sk4),X12) )
| ~ spl0_73 ),
inference(superposition,[],[f457,f843]) ).
fof(f1384,plain,
( ~ spl0_129
| ~ spl0_130
| spl0_131
| ~ spl0_73 ),
inference(avatar_split_clause,[],[f1364,f841,f1382,f1378,f1374]) ).
fof(f1364,plain,
( ! [X4] :
( skaf48(sk4,sk4) = X4
| ~ ssList(skaf48(sk4,sk4))
| ~ ssList(X4)
| sk4 != app(app(skaf47(sk4,sk4),sk4),X4)
| ~ ssList(app(skaf47(sk4,sk4),sk4)) )
| ~ spl0_73 ),
inference(superposition,[],[f150,f843]) ).
fof(f1355,plain,
( ~ spl0_118
| ~ spl0_5
| ~ spl0_119
| spl0_128
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1306,f459,f1353,f1312,f252,f1308]) ).
fof(f1353,plain,
( spl0_128
<=> ! [X11] :
( ~ memberP(skaf42(sk3,sk5),X11)
| ~ ssItem(X11)
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).
fof(f1306,plain,
( ! [X11] :
( ~ memberP(skaf42(sk3,sk5),X11)
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3)))
| ~ ssItem(X11)
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(sk3)
| ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_34 ),
inference(superposition,[],[f457,f461]) ).
fof(f1351,plain,
( ~ spl0_118
| ~ spl0_119
| spl0_126
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1301,f459,f1344,f1312,f1308]) ).
fof(f1344,plain,
( spl0_126
<=> ! [X4] :
( ~ ssList(X4)
| skaf42(sk3,sk5) = X4
| sk3 != app(X4,cons(sk5,skaf43(sk5,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).
fof(f1301,plain,
( ! [X5] :
( sk3 != app(X5,cons(sk5,skaf43(sk5,sk3)))
| skaf42(sk3,sk5) = X5
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(X5)
| ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_34 ),
inference(superposition,[],[f151,f461]) ).
fof(f1350,plain,
( ~ spl0_119
| spl0_127
| ~ spl0_5
| ~ spl0_118
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1305,f459,f1308,f252,f1348,f1312]) ).
fof(f1348,plain,
( spl0_127
<=> ! [X10] :
( ~ memberP(cons(sk5,skaf43(sk5,sk3)),X10)
| sk3 = app(skaf42(sk3,X10),cons(X10,skaf43(X10,sk3)))
| ~ ssItem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).
fof(f1305,plain,
( ! [X10] :
( ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(sk3)
| ~ memberP(cons(sk5,skaf43(sk5,sk3)),X10)
| ~ ssItem(X10)
| sk3 = app(skaf42(sk3,X10),cons(X10,skaf43(X10,sk3)))
| ~ ssList(skaf42(sk3,sk5)) )
| ~ spl0_34 ),
inference(superposition,[],[f456,f461]) ).
fof(f1346,plain,
( ~ spl0_119
| ~ spl0_118
| spl0_126
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1300,f459,f1344,f1308,f1312]) ).
fof(f1300,plain,
( ! [X4] :
( ~ ssList(X4)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| sk3 != app(X4,cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(skaf42(sk3,sk5))
| skaf42(sk3,sk5) = X4 )
| ~ spl0_34 ),
inference(superposition,[],[f151,f461]) ).
fof(f1342,plain,
( ~ spl0_118
| spl0_125
| ~ spl0_119
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1302,f459,f1312,f1340,f1308]) ).
fof(f1340,plain,
( spl0_125
<=> ! [X6] :
( memberP(skaf42(sk3,sk5),X6)
| ~ memberP(sk3,X6)
| memberP(cons(sk5,skaf43(sk5,sk3)),X6)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).
fof(f1302,plain,
( ! [X6] :
( ~ ssList(skaf42(sk3,sk5))
| memberP(skaf42(sk3,sk5),X6)
| ~ ssItem(X6)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| memberP(cons(sk5,skaf43(sk5,sk3)),X6)
| ~ memberP(sk3,X6) )
| ~ spl0_34 ),
inference(superposition,[],[f158,f461]) ).
fof(f1338,plain,
( ~ spl0_118
| ~ spl0_119
| spl0_124
| ~ spl0_1
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1334,f459,f280,f233,f1336,f1312,f1308]) ).
fof(f1336,plain,
( spl0_124
<=> ! [X8,X7] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk3)),X8)
| ~ ssList(X7)
| segmentP(cons(sk5,X7),X8)
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).
fof(f1334,plain,
( ! [X8,X7] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk3)),X8)
| ~ ssList(X8)
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(X7)
| segmentP(cons(sk5,X7),X8) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_34 ),
inference(forward_subsumption_demodulation,[],[f1303,f748]) ).
fof(f1303,plain,
( ! [X8,X7] :
( ~ segmentP(cons(sk5,skaf43(sk5,sk3)),X8)
| segmentP(app(sk3,X7),X8)
| ~ ssList(X8)
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(X7)
| ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_34 ),
inference(superposition,[],[f172,f461]) ).
fof(f1333,plain,
( ~ spl0_119
| ~ spl0_118
| spl0_120
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1299,f459,f1316,f1308,f1312]) ).
fof(f1316,plain,
( spl0_120
<=> ! [X2] :
( cons(sk5,skaf43(sk5,sk3)) = X2
| sk3 != app(skaf42(sk3,sk5),X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).
fof(f1299,plain,
( ! [X3] :
( cons(sk5,skaf43(sk5,sk3)) = X3
| ~ ssList(X3)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| sk3 != app(skaf42(sk3,sk5),X3)
| ~ ssList(skaf42(sk3,sk5)) )
| ~ spl0_34 ),
inference(superposition,[],[f150,f461]) ).
fof(f1332,plain,
( ~ spl0_119
| ~ spl0_118
| spl0_123
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1297,f459,f1330,f1308,f1312]) ).
fof(f1330,plain,
( spl0_123
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(sk3,X1)
| ~ memberP(cons(sk5,skaf43(sk5,sk3)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).
fof(f1297,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ memberP(cons(sk5,skaf43(sk5,sk3)),X1)
| ~ ssList(skaf42(sk3,sk5))
| memberP(sk3,X1) )
| ~ spl0_34 ),
inference(superposition,[],[f141,f461]) ).
fof(f1328,plain,
( ~ spl0_119
| ~ spl0_118
| spl0_122
| ~ spl0_1
| ~ spl0_11
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1324,f459,f280,f233,f1326,f1308,f1312]) ).
fof(f1326,plain,
( spl0_122
<=> ! [X9] :
( ~ ssList(cons(sk5,X9))
| ~ ssList(X9)
| segmentP(cons(sk5,X9),cons(sk5,skaf43(sk5,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).
fof(f1324,plain,
( ! [X9] :
( ~ ssList(cons(sk5,X9))
| segmentP(cons(sk5,X9),cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(X9)
| ~ ssList(skaf42(sk3,sk5)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_34 ),
inference(forward_subsumption_demodulation,[],[f1323,f748]) ).
fof(f1323,plain,
( ! [X9] :
( ~ ssList(skaf42(sk3,sk5))
| ~ ssList(app(sk3,X9))
| ~ ssList(X9)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| segmentP(cons(sk5,X9),cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_34 ),
inference(forward_subsumption_demodulation,[],[f1304,f748]) ).
fof(f1304,plain,
( ! [X9] :
( segmentP(app(sk3,X9),cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(X9)
| ~ ssList(cons(sk5,skaf43(sk5,sk3)))
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(app(sk3,X9)) )
| ~ spl0_34 ),
inference(superposition,[],[f205,f461]) ).
fof(f1322,plain,
( ~ spl0_118
| ~ spl0_119
| spl0_121
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1296,f459,f1320,f1312,f1308]) ).
fof(f1320,plain,
( spl0_121
<=> ! [X0] :
( memberP(sk3,X0)
| ~ ssItem(X0)
| ~ memberP(skaf42(sk3,sk5),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).
fof(f1296,plain,
( ! [X0] :
( memberP(sk3,X0)
| ~ memberP(skaf42(sk3,sk5),X0)
| ~ ssItem(X0)
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_34 ),
inference(superposition,[],[f140,f461]) ).
fof(f1318,plain,
( ~ spl0_118
| ~ spl0_119
| spl0_120
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f1298,f459,f1316,f1312,f1308]) ).
fof(f1298,plain,
( ! [X2] :
( cons(sk5,skaf43(sk5,sk3)) = X2
| ~ ssList(skaf42(sk3,sk5))
| ~ ssList(X2)
| sk3 != app(skaf42(sk3,sk5),X2)
| ~ ssList(cons(sk5,skaf43(sk5,sk3))) )
| ~ spl0_34 ),
inference(superposition,[],[f150,f461]) ).
fof(f1291,plain,
( ~ spl0_3
| spl0_117
| ~ spl0_5
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1287,f1209,f280,f252,f1289,f242]) ).
fof(f1289,plain,
( spl0_117
<=> ! [X9] :
( ~ ssList(cons(sk5,app(sk4,X9)))
| segmentP(cons(sk5,app(sk4,X9)),sk4)
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).
fof(f1287,plain,
( ! [X9] :
( ~ ssList(sk3)
| ~ ssList(cons(sk5,app(sk4,X9)))
| ~ ssList(sk4)
| ~ ssList(X9)
| segmentP(cons(sk5,app(sk4,X9)),sk4) )
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f1286,f998]) ).
fof(f1286,plain,
( ! [X9] :
( ~ ssList(app(cons(sk5,sk4),X9))
| segmentP(cons(sk5,app(sk4,X9)),sk4)
| ~ ssList(sk3)
| ~ ssList(sk4)
| ~ ssList(X9) )
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f1235,f998]) ).
fof(f1235,plain,
( ! [X9] :
( segmentP(app(cons(sk5,sk4),X9),sk4)
| ~ ssList(X9)
| ~ ssList(sk4)
| ~ ssList(sk3)
| ~ ssList(app(cons(sk5,sk4),X9)) )
| ~ spl0_104 ),
inference(superposition,[],[f205,f1211]) ).
fof(f1285,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_116
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1233,f1209,f1283,f242,f252]) ).
fof(f1283,plain,
( spl0_116
<=> ! [X6] :
( memberP(sk3,X6)
| memberP(sk4,X6)
| ~ memberP(cons(sk5,sk4),X6)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).
fof(f1233,plain,
( ! [X6] :
( memberP(sk3,X6)
| ~ ssItem(X6)
| ~ ssList(sk4)
| ~ memberP(cons(sk5,sk4),X6)
| memberP(sk4,X6)
| ~ ssList(sk3) )
| ~ spl0_104 ),
inference(superposition,[],[f158,f1211]) ).
fof(f1281,plain,
( ~ spl0_3
| spl0_115
| ~ spl0_5
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1228,f1209,f252,f1279,f242]) ).
fof(f1279,plain,
( spl0_115
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(cons(sk5,sk4),X1)
| ~ memberP(sk4,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).
fof(f1228,plain,
( ! [X1] :
( ~ ssList(sk3)
| ~ ssItem(X1)
| ~ ssList(sk4)
| ~ memberP(sk4,X1)
| memberP(cons(sk5,sk4),X1) )
| ~ spl0_104 ),
inference(superposition,[],[f141,f1211]) ).
fof(f1277,plain,
( ~ spl0_3
| spl0_114
| ~ spl0_5
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1273,f1209,f280,f252,f1275,f242]) ).
fof(f1275,plain,
( spl0_114
<=> ! [X8,X7] :
( ~ ssList(X8)
| ~ ssList(X7)
| segmentP(cons(sk5,app(sk4,X7)),X8)
| ~ segmentP(sk4,X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).
fof(f1273,plain,
( ! [X8,X7] :
( ~ ssList(sk3)
| ~ ssList(X8)
| ~ segmentP(sk4,X8)
| ~ ssList(X7)
| ~ ssList(sk4)
| segmentP(cons(sk5,app(sk4,X7)),X8) )
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f1234,f998]) ).
fof(f1234,plain,
( ! [X8,X7] :
( ~ ssList(X8)
| ~ ssList(sk4)
| ~ segmentP(sk4,X8)
| segmentP(app(cons(sk5,sk4),X7),X8)
| ~ ssList(X7)
| ~ ssList(sk3) )
| ~ spl0_104 ),
inference(superposition,[],[f172,f1211]) ).
fof(f1272,plain,
( ~ spl0_5
| ~ spl0_110
| ~ spl0_3
| spl0_113
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1237,f1209,f1270,f242,f1251,f252]) ).
fof(f1270,plain,
( spl0_113
<=> ! [X11] :
( ~ memberP(sk3,X11)
| cons(sk5,sk4) = app(skaf42(cons(sk5,sk4),X11),cons(X11,skaf43(X11,cons(sk5,sk4))))
| ~ ssItem(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).
fof(f1237,plain,
( ! [X11] :
( ~ memberP(sk3,X11)
| ~ ssItem(X11)
| ~ ssList(sk4)
| ~ ssList(cons(sk5,sk4))
| cons(sk5,sk4) = app(skaf42(cons(sk5,sk4),X11),cons(X11,skaf43(X11,cons(sk5,sk4))))
| ~ ssList(sk3) )
| ~ spl0_104 ),
inference(superposition,[],[f457,f1211]) ).
fof(f1268,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_112
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1227,f1209,f1266,f242,f252]) ).
fof(f1266,plain,
( spl0_112
<=> ! [X0] :
( ~ memberP(sk3,X0)
| memberP(cons(sk5,sk4),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).
fof(f1227,plain,
( ! [X0] :
( ~ memberP(sk3,X0)
| ~ ssList(sk4)
| ~ ssItem(X0)
| ~ ssList(sk3)
| memberP(cons(sk5,sk4),X0) )
| ~ spl0_104 ),
inference(superposition,[],[f140,f1211]) ).
fof(f1264,plain,
( spl0_110
| ~ spl0_5
| ~ spl0_3
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1224,f1209,f242,f252,f1251]) ).
fof(f1224,plain,
( ~ ssList(sk4)
| ~ ssList(sk3)
| ssList(cons(sk5,sk4))
| ~ spl0_104 ),
inference(superposition,[],[f85,f1211]) ).
fof(f1263,plain,
( ~ spl0_108
| ~ spl0_3
| spl0_21
| ~ spl0_5
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1225,f1209,f252,f325,f242,f1243]) ).
fof(f1243,plain,
( spl0_108
<=> nil = cons(sk5,sk4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).
fof(f1225,plain,
( ~ ssList(sk3)
| nil = sk3
| ~ ssList(sk4)
| nil != cons(sk5,sk4)
| ~ spl0_104 ),
inference(superposition,[],[f118,f1211]) ).
fof(f1262,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_111
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1261,f1209,f280,f233,f1257,f242,f252]) ).
fof(f1257,plain,
( spl0_111
<=> ! [X2] :
( cons(sk5,sk4) != cons(sk5,X2)
| ~ ssList(X2)
| sk4 = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).
fof(f1261,plain,
( ! [X3] :
( sk4 = X3
| ~ ssList(X3)
| cons(sk5,sk4) != cons(sk5,X3)
| ~ ssList(sk4)
| ~ ssList(sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f1230,f748]) ).
fof(f1230,plain,
( ! [X3] :
( ~ ssList(X3)
| ~ ssList(sk4)
| sk4 = X3
| cons(sk5,sk4) != app(sk3,X3)
| ~ ssList(sk3) )
| ~ spl0_104 ),
inference(superposition,[],[f150,f1211]) ).
fof(f1260,plain,
( ~ spl0_5
| spl0_107
| ~ spl0_3
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1231,f1209,f242,f1239,f252]) ).
fof(f1239,plain,
( spl0_107
<=> ! [X5] :
( app(X5,sk4) != cons(sk5,sk4)
| ~ ssList(X5)
| sk3 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).
fof(f1231,plain,
( ! [X4] :
( ~ ssList(sk4)
| cons(sk5,sk4) != app(X4,sk4)
| ~ ssList(sk3)
| ~ ssList(X4)
| sk3 = X4 )
| ~ spl0_104 ),
inference(superposition,[],[f151,f1211]) ).
fof(f1259,plain,
( ~ spl0_3
| ~ spl0_5
| spl0_111
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1255,f1209,f280,f233,f1257,f252,f242]) ).
fof(f1255,plain,
( ! [X2] :
( cons(sk5,sk4) != cons(sk5,X2)
| sk4 = X2
| ~ ssList(sk3)
| ~ ssList(X2)
| ~ ssList(sk4) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_104 ),
inference(forward_subsumption_demodulation,[],[f1229,f748]) ).
fof(f1229,plain,
( ! [X2] :
( sk4 = X2
| ~ ssList(sk3)
| app(sk3,X2) != cons(sk5,sk4)
| ~ ssList(X2)
| ~ ssList(sk4) )
| ~ spl0_104 ),
inference(superposition,[],[f150,f1211]) ).
fof(f1254,plain,
( ~ spl0_5
| ~ spl0_3
| spl0_109
| ~ spl0_110
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1236,f1209,f1251,f1248,f242,f252]) ).
fof(f1248,plain,
( spl0_109
<=> ! [X10] :
( ~ memberP(sk4,X10)
| cons(sk5,sk4) = app(skaf42(cons(sk5,sk4),X10),cons(X10,skaf43(X10,cons(sk5,sk4))))
| ~ ssItem(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).
fof(f1236,plain,
( ! [X10] :
( ~ ssList(cons(sk5,sk4))
| ~ memberP(sk4,X10)
| ~ ssList(sk4)
| ~ ssItem(X10)
| cons(sk5,sk4) = app(skaf42(cons(sk5,sk4),X10),cons(X10,skaf43(X10,cons(sk5,sk4))))
| ~ ssList(sk3) )
| ~ spl0_104 ),
inference(superposition,[],[f456,f1211]) ).
fof(f1246,plain,
( ~ spl0_5
| ~ spl0_108
| spl0_20
| ~ spl0_3
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1226,f1209,f242,f321,f1243,f252]) ).
fof(f321,plain,
( spl0_20
<=> nil = sk4 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f1226,plain,
( ~ ssList(sk4)
| nil = sk4
| nil != cons(sk5,sk4)
| ~ ssList(sk3)
| ~ spl0_104 ),
inference(superposition,[],[f119,f1211]) ).
fof(f1241,plain,
( ~ spl0_3
| spl0_107
| ~ spl0_5
| ~ spl0_104 ),
inference(avatar_split_clause,[],[f1232,f1209,f252,f1239,f242]) ).
fof(f1232,plain,
( ! [X5] :
( ~ ssList(sk3)
| app(X5,sk4) != cons(sk5,sk4)
| sk3 = X5
| ~ ssList(sk4)
| ~ ssList(X5) )
| ~ spl0_104 ),
inference(superposition,[],[f151,f1211]) ).
fof(f1222,plain,
( spl0_106
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1206,f280,f252,f233,f1219]) ).
fof(f1206,plain,
( app(sk3,sk3) = cons(sk5,sk3)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_11 ),
inference(resolution,[],[f748,f254]) ).
fof(f254,plain,
( ssList(sk3)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f1217,plain,
( spl0_105
| ~ spl0_1
| ~ spl0_11
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1204,f559,f280,f233,f1214]) ).
fof(f1204,plain,
( cons(sk5,cons(sk5,skaf43(sk5,sk4))) = app(sk3,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_1
| ~ spl0_11
| ~ spl0_49 ),
inference(resolution,[],[f748,f560]) ).
fof(f560,plain,
( ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f1212,plain,
( spl0_104
| ~ spl0_1
| ~ spl0_3
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f1207,f280,f242,f233,f1209]) ).
fof(f1207,plain,
( cons(sk5,sk4) = app(sk3,sk4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_11 ),
inference(resolution,[],[f748,f244]) ).
fof(f244,plain,
( ssList(sk4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f1176,plain,
spl0_95,
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| spl0_95 ),
inference(resolution,[],[f1134,f48]) ).
fof(f1134,plain,
( ~ ssList(skaf48(nil,sk3))
| spl0_95 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1174,plain,
spl0_93,
inference(avatar_contradiction_clause,[],[f1173]) ).
fof(f1173,plain,
( $false
| spl0_93 ),
inference(resolution,[],[f1127,f49]) ).
fof(f1127,plain,
( ~ ssList(skaf47(sk3,nil))
| spl0_93 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1172,plain,
( ~ spl0_95
| spl0_103
| ~ spl0_93
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1113,f722,f1125,f1170,f1132]) ).
fof(f1170,plain,
( spl0_103
<=> ! [X0] :
( ~ memberP(skaf47(sk3,nil),X0)
| ~ ssItem(X0)
| memberP(sk3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).
fof(f1113,plain,
( ! [X0] :
( ~ ssList(skaf47(sk3,nil))
| ~ memberP(skaf47(sk3,nil),X0)
| memberP(sk3,X0)
| ~ ssList(skaf48(nil,sk3))
| ~ ssItem(X0) )
| ~ spl0_64 ),
inference(superposition,[],[f140,f724]) ).
fof(f1168,plain,
( ~ spl0_93
| ~ spl0_95
| spl0_102
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1114,f722,f1166,f1132,f1125]) ).
fof(f1166,plain,
( spl0_102
<=> ! [X1] :
( memberP(sk3,X1)
| ~ memberP(skaf48(nil,sk3),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).
fof(f1114,plain,
( ! [X1] :
( memberP(sk3,X1)
| ~ ssItem(X1)
| ~ memberP(skaf48(nil,sk3),X1)
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil)) )
| ~ spl0_64 ),
inference(superposition,[],[f141,f724]) ).
fof(f1164,plain,
( spl0_101
| ~ spl0_95
| ~ spl0_93
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1119,f722,f1125,f1132,f1162]) ).
fof(f1162,plain,
( spl0_101
<=> ! [X6] :
( ~ ssItem(X6)
| memberP(skaf47(sk3,nil),X6)
| memberP(skaf48(nil,sk3),X6)
| ~ memberP(sk3,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).
fof(f1119,plain,
( ! [X6] :
( ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3))
| ~ ssItem(X6)
| ~ memberP(sk3,X6)
| memberP(skaf48(nil,sk3),X6)
| memberP(skaf47(sk3,nil),X6) )
| ~ spl0_64 ),
inference(superposition,[],[f158,f724]) ).
fof(f1160,plain,
( ~ spl0_93
| ~ spl0_95
| spl0_100
| ~ spl0_1
| ~ spl0_11
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1156,f722,f280,f233,f1158,f1132,f1125]) ).
fof(f1158,plain,
( spl0_100
<=> ! [X7,X8] :
( ~ ssList(X7)
| ~ ssList(X8)
| ~ segmentP(skaf48(nil,sk3),X8)
| segmentP(cons(sk5,X7),X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).
fof(f1156,plain,
( ! [X8,X7] :
( ~ ssList(X7)
| segmentP(cons(sk5,X7),X8)
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| ~ segmentP(skaf48(nil,sk3),X8)
| ~ ssList(X8) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_64 ),
inference(forward_subsumption_demodulation,[],[f1120,f748]) ).
fof(f1120,plain,
( ! [X8,X7] :
( segmentP(app(sk3,X7),X8)
| ~ segmentP(skaf48(nil,sk3),X8)
| ~ ssList(X7)
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(X8) )
| ~ spl0_64 ),
inference(superposition,[],[f172,f724]) ).
fof(f1155,plain,
( ~ spl0_95
| ~ spl0_93
| spl0_99
| ~ spl0_1
| ~ spl0_11
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1151,f722,f280,f233,f1153,f1125,f1132]) ).
fof(f1153,plain,
( spl0_99
<=> ! [X9] :
( ~ ssList(cons(sk5,X9))
| ~ ssList(X9)
| segmentP(cons(sk5,X9),skaf48(nil,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).
fof(f1151,plain,
( ! [X9] :
( ~ ssList(cons(sk5,X9))
| segmentP(cons(sk5,X9),skaf48(nil,sk3))
| ~ ssList(X9)
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_64 ),
inference(forward_subsumption_demodulation,[],[f1150,f748]) ).
fof(f1150,plain,
( ! [X9] :
( ~ ssList(skaf48(nil,sk3))
| segmentP(app(sk3,X9),skaf48(nil,sk3))
| ~ ssList(X9)
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(cons(sk5,X9)) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_64 ),
inference(forward_subsumption_demodulation,[],[f1121,f748]) ).
fof(f1121,plain,
( ! [X9] :
( ~ ssList(skaf47(sk3,nil))
| ~ ssList(app(sk3,X9))
| ~ ssList(X9)
| segmentP(app(sk3,X9),skaf48(nil,sk3))
| ~ ssList(skaf48(nil,sk3)) )
| ~ spl0_64 ),
inference(superposition,[],[f205,f724]) ).
fof(f1149,plain,
( ~ spl0_93
| spl0_98
| ~ spl0_95
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1117,f722,f1132,f1145,f1125]) ).
fof(f1145,plain,
( spl0_98
<=> ! [X5] :
( sk3 != app(X5,skaf48(nil,sk3))
| skaf47(sk3,nil) = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).
fof(f1117,plain,
( ! [X4] :
( ~ ssList(skaf48(nil,sk3))
| sk3 != app(X4,skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| skaf47(sk3,nil) = X4
| ~ ssList(X4) )
| ~ spl0_64 ),
inference(superposition,[],[f151,f724]) ).
fof(f1148,plain,
( ~ spl0_95
| spl0_96
| ~ spl0_93
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1116,f722,f1125,f1137,f1132]) ).
fof(f1137,plain,
( spl0_96
<=> ! [X2] :
( skaf48(nil,sk3) = X2
| sk3 != app(skaf47(sk3,nil),X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).
fof(f1116,plain,
( ! [X3] :
( ~ ssList(skaf47(sk3,nil))
| skaf48(nil,sk3) = X3
| sk3 != app(skaf47(sk3,nil),X3)
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(X3) )
| ~ spl0_64 ),
inference(superposition,[],[f150,f724]) ).
fof(f1147,plain,
( ~ spl0_95
| ~ spl0_93
| spl0_98
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1118,f722,f1145,f1125,f1132]) ).
fof(f1118,plain,
( ! [X5] :
( sk3 != app(X5,skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(X5)
| skaf47(sk3,nil) = X5 )
| ~ spl0_64 ),
inference(superposition,[],[f151,f724]) ).
fof(f1143,plain,
( ~ spl0_5
| ~ spl0_93
| ~ spl0_95
| spl0_97
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1122,f722,f1141,f1132,f1125,f252]) ).
fof(f1141,plain,
( spl0_97
<=> ! [X10] :
( ~ ssItem(X10)
| ~ memberP(skaf48(nil,sk3),X10)
| sk3 = app(skaf42(sk3,X10),cons(X10,skaf43(X10,sk3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).
fof(f1122,plain,
( ! [X10] :
( ~ ssItem(X10)
| ~ ssList(skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| ~ ssList(sk3)
| sk3 = app(skaf42(sk3,X10),cons(X10,skaf43(X10,sk3)))
| ~ memberP(skaf48(nil,sk3),X10) )
| ~ spl0_64 ),
inference(superposition,[],[f456,f724]) ).
fof(f1139,plain,
( spl0_96
| ~ spl0_93
| ~ spl0_95
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1115,f722,f1132,f1125,f1137]) ).
fof(f1115,plain,
( ! [X2] :
( ~ ssList(skaf48(nil,sk3))
| ~ ssList(skaf47(sk3,nil))
| skaf48(nil,sk3) = X2
| ~ ssList(X2)
| sk3 != app(skaf47(sk3,nil),X2) )
| ~ spl0_64 ),
inference(superposition,[],[f150,f724]) ).
fof(f1135,plain,
( ~ spl0_5
| ~ spl0_93
| spl0_94
| ~ spl0_95
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1123,f722,f1132,f1129,f1125,f252]) ).
fof(f1129,plain,
( spl0_94
<=> ! [X11] :
( ~ memberP(skaf47(sk3,nil),X11)
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3)))
| ~ ssItem(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).
fof(f1123,plain,
( ! [X11] :
( ~ ssList(skaf48(nil,sk3))
| ~ memberP(skaf47(sk3,nil),X11)
| ~ ssItem(X11)
| ~ ssList(skaf47(sk3,nil))
| sk3 = app(skaf42(sk3,X11),cons(X11,skaf43(X11,sk3)))
| ~ ssList(sk3) )
| ~ spl0_64 ),
inference(superposition,[],[f457,f724]) ).
fof(f1063,plain,
( ~ spl0_3
| ~ spl0_42
| ~ spl0_41
| spl0_92
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1047,f614,f1061,f520,f525,f242]) ).
fof(f525,plain,
( spl0_42
<=> ssList(skaf47(sk4,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f1061,plain,
( spl0_92
<=> ! [X2] :
( sk4 = app(skaf42(sk4,X2),cons(X2,skaf43(X2,sk4)))
| ~ memberP(skaf47(sk4,nil),X2)
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).
fof(f614,plain,
( spl0_56
<=> sk4 = app(skaf47(sk4,nil),skaf48(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f1047,plain,
( ! [X2] :
( sk4 = app(skaf42(sk4,X2),cons(X2,skaf43(X2,sk4)))
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(sk4)
| ~ ssItem(X2)
| ~ memberP(skaf47(sk4,nil),X2) )
| ~ spl0_56 ),
inference(superposition,[],[f457,f616]) ).
fof(f616,plain,
( sk4 = app(skaf47(sk4,nil),skaf48(nil,sk4))
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f1059,plain,
( spl0_91
| ~ spl0_3
| ~ spl0_48
| ~ spl0_49
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1048,f464,f559,f555,f242,f1057]) ).
fof(f1057,plain,
( spl0_91
<=> ! [X3] :
( ~ ssItem(X3)
| sk4 = app(skaf42(sk4,X3),cons(X3,skaf43(X3,sk4)))
| ~ memberP(skaf42(sk4,sk5),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).
fof(f555,plain,
( spl0_48
<=> ssList(skaf42(sk4,sk5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1048,plain,
( ! [X3] :
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(sk4)
| ~ ssItem(X3)
| ~ memberP(skaf42(sk4,sk5),X3)
| sk4 = app(skaf42(sk4,X3),cons(X3,skaf43(X3,sk4))) )
| ~ spl0_35 ),
inference(superposition,[],[f457,f466]) ).
fof(f1043,plain,
( ~ spl0_42
| spl0_90
| ~ spl0_41
| ~ spl0_3
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f1027,f614,f242,f520,f1041,f525]) ).
fof(f1041,plain,
( spl0_90
<=> ! [X2] :
( sk4 = app(skaf42(sk4,X2),cons(X2,skaf43(X2,sk4)))
| ~ ssItem(X2)
| ~ memberP(skaf48(nil,sk4),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).
fof(f1027,plain,
( ! [X2] :
( ~ ssList(sk4)
| ~ ssList(skaf48(nil,sk4))
| sk4 = app(skaf42(sk4,X2),cons(X2,skaf43(X2,sk4)))
| ~ ssList(skaf47(sk4,nil))
| ~ memberP(skaf48(nil,sk4),X2)
| ~ ssItem(X2) )
| ~ spl0_56 ),
inference(superposition,[],[f456,f616]) ).
fof(f1039,plain,
( ~ spl0_3
| ~ spl0_48
| spl0_89
| ~ spl0_49
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f1028,f464,f559,f1037,f555,f242]) ).
fof(f1028,plain,
( ! [X3] :
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ memberP(cons(sk5,skaf43(sk5,sk4)),X3)
| ~ ssList(skaf42(sk4,sk5))
| ~ ssItem(X3)
| sk4 = app(skaf42(sk4,X3),cons(X3,skaf43(X3,sk4)))
| ~ ssList(sk4) )
| ~ spl0_35 ),
inference(superposition,[],[f456,f466]) ).
fof(f1007,plain,
( ~ spl0_72
| ~ spl0_11
| spl0_88
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1000,f559,f1004,f280,f812]) ).
fof(f1000,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(skaf42(cons(sk5,skaf43(sk5,sk4)),sk5),cons(sk5,skaf43(sk5,cons(sk5,skaf43(sk5,sk4)))))
| ~ ssItem(sk5)
| ~ ssList(skaf43(sk5,sk4))
| ~ spl0_49 ),
inference(resolution,[],[f454,f560]) ).
fof(f454,plain,
! [X0,X1] :
( ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1)))) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f448,plain,
! [X0,X1] :
( cons(X0,X1) = app(skaf42(cons(X0,X1),X0),cons(X0,skaf43(X0,cons(X0,X1))))
| ~ ssList(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f169,f227]) ).
fof(f227,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X2,X1] :
( ~ ssItem(X1)
| memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f138]) ).
fof(f138,axiom,
! [X2,X0,X1] :
( X0 != X1
| ~ ssList(X2)
| memberP(cons(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).
fof(f987,plain,
( ~ spl0_11
| spl0_87
| ~ spl0_61 ),
inference(avatar_split_clause,[],[f981,f675,f985,f280]) ).
fof(f985,plain,
( spl0_87
<=> ! [X1] :
( ~ ssList(X1)
| app(skaf42(app(X1,sk3),sk5),cons(sk5,skaf43(sk5,app(X1,sk3)))) = app(X1,sk3)
| ~ ssList(app(X1,sk3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f981,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssList(app(X1,sk3))
| app(skaf42(app(X1,sk3),sk5),cons(sk5,skaf43(sk5,app(X1,sk3)))) = app(X1,sk3)
| ~ ssItem(sk5) )
| ~ spl0_61 ),
inference(resolution,[],[f676,f169]) ).
fof(f952,plain,
( spl0_86
| ~ spl0_33
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f930,f559,f445,f949]) ).
fof(f949,plain,
( spl0_86
<=> cons(sk5,skaf43(sk5,sk4)) = app(skaf47(cons(sk5,skaf43(sk5,sk4)),nil),skaf48(nil,cons(sk5,skaf43(sk5,sk4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f930,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(skaf47(cons(sk5,skaf43(sk5,sk4)),nil),skaf48(nil,cons(sk5,skaf43(sk5,sk4))))
| ~ spl0_33
| ~ spl0_49 ),
inference(resolution,[],[f560,f610]) ).
fof(f947,plain,
( spl0_85
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f931,f559,f944]) ).
fof(f931,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(nil,cons(sk5,skaf43(sk5,sk4)))
| ~ spl0_49 ),
inference(resolution,[],[f560,f74]) ).
fof(f942,plain,
( spl0_84
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f932,f559,f939]) ).
fof(f939,plain,
( spl0_84
<=> cons(sk5,skaf43(sk5,sk4)) = app(cons(sk5,skaf43(sk5,sk4)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f932,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(cons(sk5,skaf43(sk5,sk4)),nil)
| ~ spl0_49 ),
inference(resolution,[],[f560,f73]) ).
fof(f937,plain,
( spl0_83
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f929,f559,f934]) ).
fof(f934,plain,
( spl0_83
<=> cons(sk5,skaf43(sk5,sk4)) = app(app(skaf47(cons(sk5,skaf43(sk5,sk4)),cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),cons(sk5,skaf43(sk5,sk4)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f929,plain,
( cons(sk5,skaf43(sk5,sk4)) = app(app(skaf47(cons(sk5,skaf43(sk5,sk4)),cons(sk5,skaf43(sk5,sk4))),cons(sk5,skaf43(sk5,sk4))),skaf48(cons(sk5,skaf43(sk5,sk4)),cons(sk5,skaf43(sk5,sk4))))
| ~ spl0_49 ),
inference(resolution,[],[f560,f438]) ).
fof(f926,plain,
( ~ spl0_3
| ~ spl0_13
| spl0_80
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f892,f660,f910,f290,f242]) ).
fof(f910,plain,
( spl0_80
<=> ! [X1] :
( ~ ssList(X1)
| nil = X1
| sk4 != app(X1,sk4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f892,plain,
( ! [X1] :
( nil = X1
| sk4 != app(X1,sk4)
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssList(sk4) )
| ~ spl0_60 ),
inference(superposition,[],[f151,f662]) ).
fof(f925,plain,
( spl0_79
| ~ spl0_49
| ~ spl0_48
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f900,f464,f555,f559,f906]) ).
fof(f906,plain,
( spl0_79
<=> ! [X3] :
( sk4 != app(X3,cons(sk5,skaf43(sk5,sk4)))
| skaf42(sk4,sk5) = X3
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f900,plain,
( ! [X3] :
( ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| sk4 != app(X3,cons(sk5,skaf43(sk5,sk4)))
| skaf42(sk4,sk5) = X3
| ~ ssList(X3) )
| ~ spl0_35 ),
inference(superposition,[],[f151,f466]) ).
fof(f924,plain,
( ~ spl0_41
| spl0_81
| ~ spl0_42
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f899,f614,f525,f915,f520]) ).
fof(f915,plain,
( spl0_81
<=> ! [X2] :
( skaf47(sk4,nil) = X2
| sk4 != app(X2,skaf48(nil,sk4))
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f899,plain,
( ! [X2] :
( ~ ssList(skaf47(sk4,nil))
| sk4 != app(X2,skaf48(nil,sk4))
| ~ ssList(skaf48(nil,sk4))
| skaf47(sk4,nil) = X2
| ~ ssList(X2) )
| ~ spl0_56 ),
inference(superposition,[],[f151,f616]) ).
fof(f923,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_82
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f891,f655,f920,f252,f290]) ).
fof(f920,plain,
( spl0_82
<=> ! [X0] :
( sk3 != app(X0,sk3)
| nil = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f891,plain,
( ! [X0] :
( nil = X0
| sk3 != app(X0,sk3)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl0_59 ),
inference(superposition,[],[f151,f657]) ).
fof(f922,plain,
( ~ spl0_5
| ~ spl0_13
| spl0_82
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f897,f655,f920,f290,f252]) ).
fof(f897,plain,
( ! [X0] :
( sk3 != app(X0,sk3)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sk3)
| nil = X0 )
| ~ spl0_59 ),
inference(superposition,[],[f151,f657]) ).
fof(f917,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_81
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f893,f614,f915,f525,f520]) ).
fof(f893,plain,
( ! [X2] :
( skaf47(sk4,nil) = X2
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(X2)
| ~ ssList(skaf48(nil,sk4))
| sk4 != app(X2,skaf48(nil,sk4)) )
| ~ spl0_56 ),
inference(superposition,[],[f151,f616]) ).
fof(f912,plain,
( ~ spl0_13
| spl0_80
| ~ spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f898,f660,f242,f910,f290]) ).
fof(f898,plain,
( ! [X1] :
( ~ ssList(sk4)
| ~ ssList(X1)
| ~ ssList(nil)
| sk4 != app(X1,sk4)
| nil = X1 )
| ~ spl0_60 ),
inference(superposition,[],[f151,f662]) ).
fof(f908,plain,
( ~ spl0_49
| ~ spl0_48
| spl0_79
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f894,f464,f906,f555,f559]) ).
fof(f894,plain,
( ! [X3] :
( sk4 != app(X3,cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X3)
| skaf42(sk4,sk5) = X3 )
| ~ spl0_35 ),
inference(superposition,[],[f151,f466]) ).
fof(f890,plain,
( ~ spl0_48
| ~ spl0_49
| spl0_78
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f860,f464,f887,f559,f555]) ).
fof(f860,plain,
( ! [X3] :
( ~ ssList(X3)
| cons(sk5,skaf43(sk5,sk4)) = X3
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(skaf42(sk4,sk5))
| sk4 != app(skaf42(sk4,sk5),X3) )
| ~ spl0_35 ),
inference(superposition,[],[f150,f466]) ).
fof(f889,plain,
( ~ spl0_49
| spl0_78
| ~ spl0_48
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f854,f464,f555,f887,f559]) ).
fof(f854,plain,
( ! [X3] :
( ~ ssList(skaf42(sk4,sk5))
| ~ ssList(X3)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| cons(sk5,skaf43(sk5,sk4)) = X3
| sk4 != app(skaf42(sk4,sk5),X3) )
| ~ spl0_35 ),
inference(superposition,[],[f150,f466]) ).
fof(f884,plain,
( ~ spl0_13
| spl0_77
| ~ spl0_5
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f883,f624,f280,f233,f252,f879,f290]) ).
fof(f879,plain,
( spl0_77
<=> ! [X4] :
( sk3 != cons(sk5,X4)
| nil = X4
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).
fof(f624,plain,
( spl0_58
<=> sk3 = app(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f883,plain,
( ! [X4] :
( ~ ssList(sk3)
| nil = X4
| sk3 != cons(sk5,X4)
| ~ ssList(nil)
| ~ ssList(X4) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(forward_subsumption_demodulation,[],[f855,f748]) ).
fof(f855,plain,
( ! [X4] :
( nil = X4
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ ssList(X4)
| sk3 != app(sk3,X4) )
| ~ spl0_58 ),
inference(superposition,[],[f150,f626]) ).
fof(f626,plain,
( sk3 = app(sk3,nil)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f881,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_77
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f877,f624,f280,f233,f879,f252,f290]) ).
fof(f877,plain,
( ! [X4] :
( sk3 != cons(sk5,X4)
| ~ ssList(sk3)
| ~ ssList(nil)
| ~ ssList(X4)
| nil = X4 )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(forward_subsumption_demodulation,[],[f861,f748]) ).
fof(f861,plain,
( ! [X4] :
( ~ ssList(X4)
| nil = X4
| ~ ssList(nil)
| sk3 != app(sk3,X4)
| ~ ssList(sk3) )
| ~ spl0_58 ),
inference(superposition,[],[f150,f626]) ).
fof(f875,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_75
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f853,f614,f867,f525,f520]) ).
fof(f853,plain,
( ! [X2] :
( sk4 != app(skaf47(sk4,nil),X2)
| ~ ssList(skaf47(sk4,nil))
| skaf48(nil,sk4) = X2
| ~ ssList(X2)
| ~ ssList(skaf48(nil,sk4)) )
| ~ spl0_56 ),
inference(superposition,[],[f150,f616]) ).
fof(f874,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_76
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f856,f619,f871,f242,f290]) ).
fof(f871,plain,
( spl0_76
<=> ! [X5] :
( sk4 != app(sk4,X5)
| nil = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).
fof(f856,plain,
( ! [X5] :
( ~ ssList(X5)
| ~ ssList(sk4)
| sk4 != app(sk4,X5)
| ~ ssList(nil)
| nil = X5 )
| ~ spl0_57 ),
inference(superposition,[],[f150,f621]) ).
fof(f873,plain,
( ~ spl0_3
| spl0_76
| ~ spl0_13
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f862,f619,f290,f871,f242]) ).
fof(f862,plain,
( ! [X5] :
( ~ ssList(nil)
| sk4 != app(sk4,X5)
| ~ ssList(X5)
| ~ ssList(sk4)
| nil = X5 )
| ~ spl0_57 ),
inference(superposition,[],[f150,f621]) ).
fof(f869,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_75
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f859,f614,f867,f525,f520]) ).
fof(f859,plain,
( ! [X2] :
( skaf48(nil,sk4) = X2
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(X2)
| sk4 != app(skaf47(sk4,nil),X2) )
| ~ spl0_56 ),
inference(superposition,[],[f150,f616]) ).
fof(f850,plain,
( spl0_74
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f838,f252,f847]) ).
fof(f838,plain,
( sk3 = app(app(skaf47(sk3,sk3),sk3),skaf48(sk3,sk3))
| ~ spl0_5 ),
inference(resolution,[],[f438,f254]) ).
fof(f844,plain,
( spl0_73
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f839,f242,f841]) ).
fof(f839,plain,
( sk4 = app(app(skaf47(sk4,sk4),sk4),skaf48(sk4,sk4))
| ~ spl0_3 ),
inference(resolution,[],[f438,f244]) ).
fof(f817,plain,
spl0_72,
inference(avatar_contradiction_clause,[],[f816]) ).
fof(f816,plain,
( $false
| spl0_72 ),
inference(resolution,[],[f814,f52]) ).
fof(f814,plain,
( ~ ssList(skaf43(sk5,sk4))
| spl0_72 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f815,plain,
( ~ spl0_72
| ~ spl0_11
| spl0_49 ),
inference(avatar_split_clause,[],[f810,f559,f280,f812]) ).
fof(f810,plain,
( ~ ssItem(sk5)
| ~ ssList(skaf43(sk5,sk4))
| spl0_49 ),
inference(resolution,[],[f561,f86]) ).
fof(f561,plain,
( ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| spl0_49 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f809,plain,
( spl0_71
| ~ spl0_13
| ~ spl0_3
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f801,f660,f242,f290,f807]) ).
fof(f807,plain,
( spl0_71
<=> ! [X5] :
( ~ ssList(X5)
| segmentP(app(sk4,X5),sk4)
| ~ ssList(app(sk4,X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f801,plain,
( ! [X5] :
( ~ ssList(sk4)
| ~ ssList(nil)
| ~ ssList(X5)
| ~ ssList(app(sk4,X5))
| segmentP(app(sk4,X5),sk4) )
| ~ spl0_60 ),
inference(superposition,[],[f205,f662]) ).
fof(f805,plain,
( ~ spl0_13
| ~ spl0_3
| spl0_70
| ~ spl0_60 ),
inference(avatar_split_clause,[],[f800,f660,f803,f242,f290]) ).
fof(f803,plain,
( spl0_70
<=> ! [X4,X3] :
( segmentP(app(sk4,X3),X4)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ segmentP(sk4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f800,plain,
( ! [X3,X4] :
( segmentP(app(sk4,X3),X4)
| ~ ssList(sk4)
| ~ segmentP(sk4,X4)
| ~ ssList(X4)
| ~ ssList(nil)
| ~ ssList(X3) )
| ~ spl0_60 ),
inference(superposition,[],[f172,f662]) ).
fof(f793,plain,
( ~ spl0_13
| spl0_69
| ~ spl0_5
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f789,f655,f280,f233,f252,f791,f290]) ).
fof(f791,plain,
( spl0_69
<=> ! [X4,X3] :
( ~ ssList(X3)
| segmentP(cons(sk5,X3),X4)
| ~ segmentP(sk3,X4)
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f789,plain,
( ! [X3,X4] :
( ~ ssList(sk3)
| ~ ssList(X3)
| ~ segmentP(sk3,X4)
| ~ ssList(X4)
| segmentP(cons(sk5,X3),X4)
| ~ ssList(nil) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(forward_subsumption_demodulation,[],[f781,f748]) ).
fof(f781,plain,
( ! [X3,X4] :
( ~ ssList(nil)
| segmentP(app(sk3,X3),X4)
| ~ ssList(X3)
| ~ ssList(sk3)
| ~ segmentP(sk3,X4)
| ~ ssList(X4) )
| ~ spl0_59 ),
inference(superposition,[],[f172,f657]) ).
fof(f788,plain,
( ~ spl0_5
| spl0_68
| ~ spl0_13
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f784,f655,f280,f233,f290,f786,f252]) ).
fof(f786,plain,
( spl0_68
<=> ! [X5] :
( segmentP(cons(sk5,X5),sk3)
| ~ ssList(cons(sk5,X5))
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f784,plain,
( ! [X5] :
( ~ ssList(nil)
| segmentP(cons(sk5,X5),sk3)
| ~ ssList(X5)
| ~ ssList(cons(sk5,X5))
| ~ ssList(sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(forward_subsumption_demodulation,[],[f783,f748]) ).
fof(f783,plain,
( ! [X5] :
( ~ ssList(cons(sk5,X5))
| ~ ssList(X5)
| ~ ssList(nil)
| ~ ssList(sk3)
| segmentP(app(sk3,X5),sk3) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_59 ),
inference(forward_subsumption_demodulation,[],[f782,f748]) ).
fof(f782,plain,
( ! [X5] :
( ~ ssList(app(sk3,X5))
| ~ ssList(X5)
| segmentP(app(sk3,X5),sk3)
| ~ ssList(sk3)
| ~ ssList(nil) )
| ~ spl0_59 ),
inference(superposition,[],[f205,f657]) ).
fof(f773,plain,
( ~ spl0_5
| ~ spl0_13
| spl0_67
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f769,f624,f280,f233,f771,f290,f252]) ).
fof(f771,plain,
( spl0_67
<=> ! [X4,X3] :
( ~ ssList(X4)
| ~ segmentP(nil,X4)
| ~ ssList(X3)
| segmentP(cons(sk5,X3),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).
fof(f769,plain,
( ! [X3,X4] :
( ~ ssList(X4)
| ~ ssList(nil)
| ~ ssList(X3)
| ~ ssList(sk3)
| segmentP(cons(sk5,X3),X4)
| ~ segmentP(nil,X4) )
| ~ spl0_1
| ~ spl0_11
| ~ spl0_58 ),
inference(forward_subsumption_demodulation,[],[f767,f748]) ).
fof(f767,plain,
( ! [X3,X4] :
( ~ ssList(X4)
| segmentP(app(sk3,X3),X4)
| ~ ssList(X3)
| ~ ssList(nil)
| ~ ssList(sk3)
| ~ segmentP(nil,X4) )
| ~ spl0_58 ),
inference(superposition,[],[f172,f626]) ).
fof(f760,plain,
( ~ spl0_13
| spl0_66
| ~ spl0_3
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f755,f619,f242,f758,f290]) ).
fof(f758,plain,
( spl0_66
<=> ! [X4,X3] :
( ~ ssList(X4)
| ~ ssList(X3)
| segmentP(app(sk4,X3),X4)
| ~ segmentP(nil,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f755,plain,
( ! [X3,X4] :
( ~ ssList(sk4)
| ~ ssList(X4)
| ~ segmentP(nil,X4)
| segmentP(app(sk4,X3),X4)
| ~ ssList(nil)
| ~ ssList(X3) )
| ~ spl0_57 ),
inference(superposition,[],[f172,f621]) ).
fof(f736,plain,
spl0_48,
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| spl0_48 ),
inference(resolution,[],[f557,f53]) ).
fof(f557,plain,
( ~ ssList(skaf42(sk4,sk5))
| spl0_48 ),
inference(avatar_component_clause,[],[f555]) ).
fof(f730,plain,
( spl0_65
| ~ spl0_13
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f699,f445,f290,f727]) ).
fof(f727,plain,
( spl0_65
<=> nil = app(skaf47(nil,nil),skaf48(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f699,plain,
( nil = app(skaf47(nil,nil),skaf48(nil,nil))
| ~ spl0_13
| ~ spl0_33 ),
inference(resolution,[],[f610,f291]) ).
fof(f291,plain,
( ssList(nil)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f725,plain,
( spl0_64
| ~ spl0_5
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f719,f445,f252,f722]) ).
fof(f719,plain,
( sk3 = app(skaf47(sk3,nil),skaf48(nil,sk3))
| ~ spl0_5
| ~ spl0_33 ),
inference(resolution,[],[f610,f254]) ).
fof(f696,plain,
( spl0_63
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f695,f533,f690]) ).
fof(f533,plain,
( spl0_44
<=> ! [X4] :
( ~ ssItem(X4)
| memberP(skaf48(nil,sk4),X4)
| memberP(app(skaf47(sk4,nil),nil),X4)
| ~ memberP(sk4,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f695,plain,
( ! [X4] :
( memberP(skaf48(nil,sk4),X4)
| ~ ssItem(X4)
| ~ memberP(sk4,X4)
| memberP(skaf47(sk4,nil),X4) )
| ~ spl0_44 ),
inference(forward_demodulation,[],[f534,f599]) ).
fof(f534,plain,
( ! [X4] :
( ~ ssItem(X4)
| memberP(skaf48(nil,sk4),X4)
| memberP(app(skaf47(sk4,nil),nil),X4)
| ~ memberP(sk4,X4) )
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f694,plain,
( ~ spl0_42
| ~ spl0_41
| spl0_47
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f629,f614,f545,f520,f525]) ).
fof(f629,plain,
( ! [X2,X1] :
( ~ ssList(X2)
| segmentP(app(sk4,X1),X2)
| ~ segmentP(skaf48(nil,sk4),X2)
| ~ ssList(X1)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(skaf47(sk4,nil)) )
| ~ spl0_56 ),
inference(superposition,[],[f172,f616]) ).
fof(f693,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_45
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f628,f614,f537,f525,f520]) ).
fof(f628,plain,
( ! [X0] :
( ~ ssList(app(sk4,X0))
| ~ ssList(X0)
| segmentP(app(sk4,X0),skaf48(nil,sk4))
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(skaf48(nil,sk4)) )
| ~ spl0_56 ),
inference(superposition,[],[f205,f616]) ).
fof(f692,plain,
( ~ spl0_42
| ~ spl0_41
| spl0_63
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f630,f614,f690,f520,f525]) ).
fof(f630,plain,
( ! [X3] :
( ~ memberP(sk4,X3)
| ~ ssItem(X3)
| memberP(skaf47(sk4,nil),X3)
| ~ ssList(skaf48(nil,sk4))
| memberP(skaf48(nil,sk4),X3)
| ~ ssList(skaf47(sk4,nil)) )
| ~ spl0_56 ),
inference(superposition,[],[f158,f616]) ).
fof(f688,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_62
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f632,f614,f686,f525,f520]) ).
fof(f686,plain,
( spl0_62
<=> ! [X5] :
( ~ ssItem(X5)
| memberP(sk4,X5)
| ~ memberP(skaf47(sk4,nil),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f632,plain,
( ! [X5] :
( ~ ssItem(X5)
| ~ memberP(skaf47(sk4,nil),X5)
| ~ ssList(skaf47(sk4,nil))
| ~ ssList(skaf48(nil,sk4))
| memberP(sk4,X5) )
| ~ spl0_56 ),
inference(superposition,[],[f140,f616]) ).
fof(f684,plain,
( ~ spl0_41
| ~ spl0_42
| spl0_46
| ~ spl0_56 ),
inference(avatar_split_clause,[],[f631,f614,f541,f525,f520]) ).
fof(f541,plain,
( spl0_46
<=> ! [X5] :
( ~ memberP(skaf48(nil,sk4),X5)
| ~ ssItem(X5)
| memberP(sk4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f631,plain,
( ! [X4] :
( memberP(sk4,X4)
| ~ ssList(skaf47(sk4,nil))
| ~ memberP(skaf48(nil,sk4),X4)
| ~ ssItem(X4)
| ~ ssList(skaf48(nil,sk4)) )
| ~ spl0_56 ),
inference(superposition,[],[f141,f616]) ).
fof(f683,plain,
( ~ spl0_42
| spl0_39 ),
inference(avatar_split_clause,[],[f611,f513,f525]) ).
fof(f513,plain,
( spl0_39
<=> ssList(app(skaf47(sk4,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f611,plain,
( ~ ssList(skaf47(sk4,nil))
| spl0_39 ),
inference(backward_demodulation,[],[f515,f599]) ).
fof(f515,plain,
( ~ ssList(app(skaf47(sk4,nil),nil))
| spl0_39 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f682,plain,
spl0_42,
inference(avatar_contradiction_clause,[],[f681]) ).
fof(f681,plain,
( $false
| spl0_42 ),
inference(resolution,[],[f527,f49]) ).
fof(f527,plain,
( ~ ssList(skaf47(sk4,nil))
| spl0_42 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f680,plain,
spl0_41,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f679,plain,
( $false
| spl0_41 ),
inference(resolution,[],[f522,f48]) ).
fof(f522,plain,
( ~ ssList(skaf48(nil,sk4))
| spl0_41 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f677,plain,
( spl0_61
| ~ spl0_5
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f673,f501,f252,f675]) ).
fof(f673,plain,
( ! [X6] :
( ~ ssList(sk3)
| memberP(app(X6,sk3),sk5)
| ~ ssList(X6) )
| ~ spl0_38 ),
inference(duplicate_literal_removal,[],[f666]) ).
fof(f666,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(X6)
| ~ ssList(sk3)
| memberP(app(X6,sk3),sk5) )
| ~ spl0_38 ),
inference(resolution,[],[f85,f502]) ).
fof(f663,plain,
( spl0_60
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f653,f242,f660]) ).
fof(f653,plain,
( sk4 = app(nil,sk4)
| ~ spl0_3 ),
inference(resolution,[],[f74,f244]) ).
fof(f658,plain,
( spl0_59
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f652,f252,f655]) ).
fof(f652,plain,
( sk3 = app(nil,sk3)
| ~ spl0_5 ),
inference(resolution,[],[f74,f254]) ).
fof(f627,plain,
( spl0_58
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f603,f252,f624]) ).
fof(f603,plain,
( sk3 = app(sk3,nil)
| ~ spl0_5 ),
inference(resolution,[],[f73,f254]) ).
fof(f622,plain,
( spl0_57
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f604,f242,f619]) ).
fof(f604,plain,
( sk4 = app(sk4,nil)
| ~ spl0_3 ),
inference(resolution,[],[f73,f244]) ).
fof(f617,plain,
( spl0_56
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f612,f440,f614]) ).
fof(f440,plain,
( spl0_32
<=> sk4 = app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f612,plain,
( sk4 = app(skaf47(sk4,nil),skaf48(nil,sk4))
| ~ spl0_32 ),
inference(backward_demodulation,[],[f442,f599]) ).
fof(f442,plain,
( sk4 = app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4))
| ~ spl0_32 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f609,plain,
( spl0_55
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f584,f290,f606]) ).
fof(f584,plain,
( nil = app(nil,nil)
| ~ spl0_13 ),
inference(resolution,[],[f73,f291]) ).
fof(f581,plain,
( ~ spl0_49
| ~ spl0_48
| spl0_54
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f549,f464,f579,f555,f559]) ).
fof(f549,plain,
( ! [X0] :
( segmentP(app(sk4,X0),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(skaf42(sk4,sk5))
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(X0)
| ~ ssList(app(sk4,X0)) )
| ~ spl0_35 ),
inference(superposition,[],[f205,f466]) ).
fof(f577,plain,
( ~ spl0_49
| spl0_53
| ~ spl0_48
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f551,f464,f555,f575,f559]) ).
fof(f551,plain,
( ! [X3] :
( ~ ssList(skaf42(sk4,sk5))
| memberP(cons(sk5,skaf43(sk5,sk4)),X3)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ memberP(sk4,X3)
| ~ ssItem(X3)
| memberP(skaf42(sk4,sk5),X3) )
| ~ spl0_35 ),
inference(superposition,[],[f158,f466]) ).
fof(f573,plain,
( ~ spl0_48
| ~ spl0_49
| spl0_52
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f552,f464,f571,f559,f555]) ).
fof(f552,plain,
( ! [X4] :
( ~ memberP(cons(sk5,skaf43(sk5,sk4)),X4)
| memberP(sk4,X4)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| ~ ssItem(X4)
| ~ ssList(skaf42(sk4,sk5)) )
| ~ spl0_35 ),
inference(superposition,[],[f141,f466]) ).
fof(f569,plain,
( ~ spl0_49
| ~ spl0_48
| spl0_51
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f550,f464,f567,f555,f559]) ).
fof(f550,plain,
( ! [X2,X1] :
( segmentP(app(sk4,X1),X2)
| ~ ssList(X2)
| ~ ssList(skaf42(sk4,sk5))
| ~ segmentP(cons(sk5,skaf43(sk5,sk4)),X2)
| ~ ssList(X1)
| ~ ssList(cons(sk5,skaf43(sk5,sk4))) )
| ~ spl0_35 ),
inference(superposition,[],[f172,f466]) ).
fof(f565,plain,
( ~ spl0_48
| ~ spl0_49
| spl0_50
| ~ spl0_35 ),
inference(avatar_split_clause,[],[f553,f464,f563,f559,f555]) ).
fof(f563,plain,
( spl0_50
<=> ! [X5] :
( ~ ssItem(X5)
| ~ memberP(skaf42(sk4,sk5),X5)
| memberP(sk4,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f553,plain,
( ! [X5] :
( ~ ssItem(X5)
| ~ ssList(cons(sk5,skaf43(sk5,sk4)))
| memberP(sk4,X5)
| ~ memberP(skaf42(sk4,sk5),X5)
| ~ ssList(skaf42(sk4,sk5)) )
| ~ spl0_35 ),
inference(superposition,[],[f140,f466]) ).
fof(f547,plain,
( ~ spl0_39
| spl0_47
| ~ spl0_41
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f508,f440,f520,f545,f513]) ).
fof(f508,plain,
( ! [X2,X3] :
( ~ ssList(skaf48(nil,sk4))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(app(skaf47(sk4,nil),nil))
| ~ segmentP(skaf48(nil,sk4),X3)
| segmentP(app(sk4,X2),X3) )
| ~ spl0_32 ),
inference(superposition,[],[f172,f442]) ).
fof(f543,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_46
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f510,f440,f541,f520,f513]) ).
fof(f510,plain,
( ! [X5] :
( ~ memberP(skaf48(nil,sk4),X5)
| memberP(sk4,X5)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(app(skaf47(sk4,nil),nil))
| ~ ssItem(X5) )
| ~ spl0_32 ),
inference(superposition,[],[f141,f442]) ).
fof(f539,plain,
( ~ spl0_39
| spl0_45
| ~ spl0_41
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f507,f440,f520,f537,f513]) ).
fof(f507,plain,
( ! [X1] :
( ~ ssList(skaf48(nil,sk4))
| segmentP(app(sk4,X1),skaf48(nil,sk4))
| ~ ssList(app(sk4,X1))
| ~ ssList(X1)
| ~ ssList(app(skaf47(sk4,nil),nil)) )
| ~ spl0_32 ),
inference(superposition,[],[f205,f442]) ).
fof(f535,plain,
( ~ spl0_39
| ~ spl0_41
| spl0_44
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f509,f440,f533,f520,f513]) ).
fof(f509,plain,
( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(sk4,X4)
| ~ ssList(skaf48(nil,sk4))
| memberP(app(skaf47(sk4,nil),nil),X4)
| memberP(skaf48(nil,sk4),X4)
| ~ ssList(app(skaf47(sk4,nil),nil)) )
| ~ spl0_32 ),
inference(superposition,[],[f158,f442]) ).
fof(f531,plain,
( ~ spl0_42
| ~ spl0_41
| ~ spl0_13
| spl0_43
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f506,f440,f529,f290,f520,f525]) ).
fof(f529,plain,
( spl0_43
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(sk4,X0)
| ~ segmentP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f506,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| ~ segmentP(nil,X0)
| segmentP(sk4,X0)
| ~ ssList(skaf48(nil,sk4))
| ~ ssList(skaf47(sk4,nil)) )
| ~ spl0_32 ),
inference(superposition,[],[f172,f442]) ).
fof(f523,plain,
( ~ spl0_39
| spl0_40
| ~ spl0_41
| ~ spl0_32 ),
inference(avatar_split_clause,[],[f511,f440,f520,f517,f513]) ).
fof(f517,plain,
( spl0_40
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(app(skaf47(sk4,nil),nil),X6)
| memberP(sk4,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f511,plain,
( ! [X6] :
( ~ ssList(skaf48(nil,sk4))
| ~ ssItem(X6)
| ~ ssList(app(skaf47(sk4,nil),nil))
| memberP(sk4,X6)
| ~ memberP(app(skaf47(sk4,nil),nil),X6) )
| ~ spl0_32 ),
inference(superposition,[],[f140,f442]) ).
fof(f503,plain,
( ~ spl0_13
| ~ spl0_11
| spl0_38
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f499,f233,f501,f280,f290]) ).
fof(f499,plain,
( ! [X0] :
( ~ ssList(app(X0,sk3))
| ~ ssItem(sk5)
| ~ ssList(X0)
| memberP(app(X0,sk3),sk5)
| ~ ssList(nil) )
| ~ spl0_1 ),
inference(superposition,[],[f215,f235]) ).
fof(f215,plain,
! [X2,X0,X1] :
( ~ ssList(app(X0,cons(X1,X2)))
| memberP(app(X0,cons(X1,X2)),X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(equality_resolution,[],[f175]) ).
fof(f175,axiom,
! [X2,X3,X0,X1] :
( ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X0)
| app(X0,cons(X1,X2)) != X3
| memberP(X3,X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).
fof(f485,plain,
( ~ spl0_13
| ~ spl0_11
| spl0_37
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f477,f233,f482,f280,f290]) ).
fof(f482,plain,
( spl0_37
<=> ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f477,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| nil = X1
| ~ ssItem(sk5)
| ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssList(X1) )
| ~ spl0_1 ),
inference(superposition,[],[f171,f235]) ).
fof(f171,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssList(X3)
| X1 = X3
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause171) ).
fof(f484,plain,
( ~ spl0_13
| ~ spl0_11
| spl0_37
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f478,f233,f482,f280,f290]) ).
fof(f478,plain,
( ! [X0,X1] :
( cons(X0,X1) != sk3
| ~ ssItem(X0)
| ~ ssItem(sk5)
| ~ ssList(nil)
| nil = X1
| ~ ssList(X1) )
| ~ spl0_1 ),
inference(superposition,[],[f171,f235]) ).
fof(f476,plain,
( ~ spl0_11
| ~ spl0_13
| spl0_36
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f469,f233,f473,f290,f280]) ).
fof(f473,plain,
( spl0_36
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| sk5 = X0
| cons(X0,X1) != sk3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f469,plain,
( ! [X0,X1] :
( sk5 = X0
| ~ ssList(nil)
| ~ ssItem(sk5)
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sk3 )
| ~ spl0_1 ),
inference(superposition,[],[f170,f235]) ).
fof(f170,axiom,
! [X2,X3,X0,X1] :
( cons(X0,X1) != cons(X2,X3)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| X0 = X2
| ~ ssItem(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause170) ).
fof(f475,plain,
( ~ spl0_11
| spl0_36
| ~ spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f468,f233,f290,f473,f280]) ).
fof(f468,plain,
( ! [X0,X1] :
( ~ ssList(nil)
| ~ ssItem(X0)
| ~ ssItem(sk5)
| cons(X0,X1) != sk3
| sk5 = X0
| ~ ssList(X1) )
| ~ spl0_1 ),
inference(superposition,[],[f170,f235]) ).
fof(f467,plain,
( ~ spl0_11
| ~ spl0_3
| spl0_35
| ~ spl0_8 ),
inference(avatar_split_clause,[],[f453,f268,f464,f242,f280]) ).
fof(f453,plain,
( sk4 = app(skaf42(sk4,sk5),cons(sk5,skaf43(sk5,sk4)))
| ~ ssList(sk4)
| ~ ssItem(sk5)
| ~ spl0_8 ),
inference(resolution,[],[f169,f270]) ).
fof(f462,plain,
( spl0_34
| ~ spl0_5
| ~ spl0_11
| ~ spl0_30 ),
inference(avatar_split_clause,[],[f452,f399,f280,f252,f459]) ).
fof(f452,plain,
( ~ ssItem(sk5)
| ~ ssList(sk3)
| sk3 = app(skaf42(sk3,sk5),cons(sk5,skaf43(sk5,sk3)))
| ~ spl0_30 ),
inference(resolution,[],[f169,f401]) ).
fof(f447,plain,
( spl0_33
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f437,f290,f445]) ).
fof(f437,plain,
! [X0] :
( ~ ssList(nil)
| app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f434]) ).
fof(f434,plain,
! [X0] :
( app(app(skaf47(X0,nil),nil),skaf48(nil,X0)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f168,f56]) ).
fof(f443,plain,
( spl0_32
| ~ spl0_3
| ~ spl0_13
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f436,f381,f290,f242,f440]) ).
fof(f381,plain,
( spl0_28
<=> segmentP(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f436,plain,
( ~ ssList(nil)
| ~ ssList(sk4)
| sk4 = app(app(skaf47(sk4,nil),nil),skaf48(nil,sk4))
| ~ spl0_28 ),
inference(resolution,[],[f168,f382]) ).
fof(f382,plain,
( segmentP(sk4,nil)
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f433,plain,
( ~ spl0_13
| spl0_31
| ~ spl0_11
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f427,f233,f280,f431,f290]) ).
fof(f431,plain,
( spl0_31
<=> ! [X0] :
( memberP(nil,X0)
| ~ memberP(sk3,X0)
| ~ ssItem(X0)
| sk5 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).
fof(f427,plain,
( ! [X0] :
( ~ ssItem(sk5)
| memberP(nil,X0)
| ~ ssList(nil)
| sk5 = X0
| ~ ssItem(X0)
| ~ memberP(sk3,X0) )
| ~ spl0_1 ),
inference(superposition,[],[f161,f235]) ).
fof(f161,axiom,
! [X2,X0,X1] :
( ~ memberP(cons(X0,X1),X2)
| X0 = X2
| ~ ssItem(X2)
| memberP(X1,X2)
| ~ ssItem(X0)
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause161) ).
fof(f402,plain,
( ~ spl0_11
| spl0_30
| ~ spl0_13
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f394,f233,f290,f399,f280]) ).
fof(f394,plain,
( ~ ssList(nil)
| memberP(sk3,sk5)
| ~ ssItem(sk5)
| ~ spl0_1 ),
inference(superposition,[],[f227,f235]) ).
fof(f391,plain,
( ~ spl0_3
| spl0_28 ),
inference(avatar_split_clause,[],[f390,f381,f242]) ).
fof(f390,plain,
( ~ ssList(sk4)
| spl0_28 ),
inference(resolution,[],[f383,f56]) ).
fof(f383,plain,
( ~ segmentP(sk4,nil)
| spl0_28 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f389,plain,
( ~ spl0_29
| spl0_19
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f372,f325,f316,f386]) ).
fof(f386,plain,
( spl0_29
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f316,plain,
( spl0_19
<=> neq(sk3,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f372,plain,
( ~ neq(nil,nil)
| spl0_19
| ~ spl0_21 ),
inference(backward_demodulation,[],[f318,f326]) ).
fof(f318,plain,
( ~ neq(sk3,nil)
| spl0_19 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f384,plain,
( ~ spl0_28
| spl0_18
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f373,f325,f312,f381]) ).
fof(f373,plain,
( ~ segmentP(sk4,nil)
| spl0_18
| ~ spl0_21 ),
inference(backward_demodulation,[],[f314,f326]) ).
fof(f314,plain,
( ~ segmentP(sk4,sk3)
| spl0_18 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f379,plain,
( spl0_27
| ~ spl0_1
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f371,f325,f233,f376]) ).
fof(f370,plain,
( ~ spl0_13
| spl0_20
| ~ spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f363,f237,f242,f321,f290]) ).
fof(f237,plain,
( spl0_2
<=> neq(sk4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f363,plain,
( ~ ssList(sk4)
| nil = sk4
| ~ ssList(nil)
| spl0_2 ),
inference(resolution,[],[f100,f239]) ).
fof(f239,plain,
( ~ neq(sk4,nil)
| spl0_2 ),
inference(avatar_component_clause,[],[f237]) ).
fof(f100,axiom,
! [X0,X1] :
( neq(X1,X0)
| ~ ssList(X1)
| X0 = X1
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).
fof(f369,plain,
( ~ spl0_13
| ~ spl0_5
| spl0_21
| spl0_19 ),
inference(avatar_split_clause,[],[f364,f316,f325,f252,f290]) ).
fof(f364,plain,
( nil = sk3
| ~ ssList(sk3)
| ~ ssList(nil)
| spl0_19 ),
inference(resolution,[],[f100,f318]) ).
fof(f358,plain,
spl0_16,
inference(avatar_split_clause,[],[f66,f303]) ).
fof(f303,plain,
( spl0_16
<=> ! [X1] :
( ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f66,axiom,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).
fof(f357,plain,
spl0_14,
inference(avatar_split_clause,[],[f67,f294]) ).
fof(f294,plain,
( spl0_14
<=> ! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f67,axiom,
! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).
fof(f356,plain,
spl0_26,
inference(avatar_split_clause,[],[f7,f353]) ).
fof(f353,plain,
( spl0_26
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f7,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).
fof(f351,plain,
spl0_13,
inference(avatar_split_clause,[],[f8,f290]) ).
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f350,plain,
~ spl0_25,
inference(avatar_split_clause,[],[f54,f347]) ).
fof(f347,plain,
( spl0_25
<=> skac3 = skac2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f54,axiom,
skac3 != skac2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).
fof(f345,plain,
spl0_24,
inference(avatar_split_clause,[],[f6,f342]) ).
fof(f342,plain,
( spl0_24
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f6,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).
fof(f340,plain,
spl0_23,
inference(avatar_split_clause,[],[f1,f337]) ).
fof(f337,plain,
( spl0_23
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f1,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f335,plain,
( spl0_21
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f192,f321,f325]) ).
fof(f192,axiom,
( nil != sk4
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f334,plain,
spl0_3,
inference(avatar_split_clause,[],[f189,f242]) ).
fof(f189,axiom,
ssList(sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_4) ).
fof(f333,plain,
spl0_22,
inference(avatar_split_clause,[],[f4,f330]) ).
fof(f330,plain,
( spl0_22
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f4,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).
fof(f328,plain,
( ~ spl0_20
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f200,f325,f321]) ).
fof(f200,plain,
( nil != sk3
| nil != sk4 ),
inference(definition_unfolding,[],[f193,f190,f191]) ).
fof(f191,axiom,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190,axiom,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f193,axiom,
( nil != sk2
| nil != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f319,plain,
( ~ spl0_18
| ~ spl0_19 ),
inference(avatar_split_clause,[],[f198,f316,f312]) ).
fof(f198,plain,
( ~ neq(sk3,nil)
| ~ segmentP(sk4,sk3) ),
inference(definition_unfolding,[],[f197,f190,f191,f191]) ).
fof(f197,axiom,
( ~ segmentP(sk2,sk1)
| ~ neq(sk1,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f310,plain,
spl0_17,
inference(avatar_split_clause,[],[f3,f307]) ).
fof(f307,plain,
( spl0_17
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f3,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
fof(f305,plain,
( spl0_16
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f209,f290,f303]) ).
fof(f209,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssItem(X1)
| strictorderedP(cons(X1,nil)) ),
inference(equality_resolution,[],[f112]) ).
fof(f112,axiom,
! [X0,X1] :
( strictorderedP(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0)
| nil != X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).
fof(f301,plain,
~ spl0_15,
inference(avatar_split_clause,[],[f11,f298]) ).
fof(f298,plain,
( spl0_15
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f11,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).
fof(f296,plain,
( ~ spl0_13
| spl0_14 ),
inference(avatar_split_clause,[],[f213,f294,f290]) ).
fof(f213,plain,
! [X1] :
( totalorderedP(cons(X1,nil))
| ~ ssList(nil)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f113]) ).
fof(f113,axiom,
! [X0,X1] :
( ~ ssList(X0)
| nil != X0
| ~ ssItem(X1)
| totalorderedP(cons(X1,X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).
fof(f288,plain,
spl0_12,
inference(avatar_split_clause,[],[f5,f285]) ).
fof(f285,plain,
( spl0_12
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f5,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).
fof(f283,plain,
( spl0_11
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f194,f237,f280]) ).
fof(f194,axiom,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f278,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f72,f276,f273]) ).
fof(f273,plain,
( spl0_9
<=> ! [X0] :
( duplicatefreeP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f276,plain,
( spl0_10
<=> ! [X1] : ssItem(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f72,axiom,
! [X0,X1] :
( ssItem(X1)
| duplicatefreeP(X0)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause72) ).
fof(f271,plain,
( ~ spl0_2
| spl0_8 ),
inference(avatar_split_clause,[],[f196,f268,f237]) ).
fof(f196,axiom,
( memberP(sk4,sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f266,plain,
spl0_7,
inference(avatar_split_clause,[],[f10,f263]) ).
fof(f263,plain,
( spl0_7
<=> ssItem(skac2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f10,axiom,
ssItem(skac2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).
fof(f261,plain,
spl0_5,
inference(avatar_split_clause,[],[f199,f252]) ).
fof(f199,plain,
ssList(sk3),
inference(definition_unfolding,[],[f186,f191]) ).
fof(f186,axiom,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f260,plain,
spl0_6,
inference(avatar_split_clause,[],[f9,f257]) ).
fof(f257,plain,
( spl0_6
<=> ssItem(skac3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f9,axiom,
ssItem(skac3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).
fof(f255,plain,
spl0_5,
inference(avatar_split_clause,[],[f188,f252]) ).
fof(f188,axiom,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f250,plain,
spl0_4,
inference(avatar_split_clause,[],[f2,f247]) ).
fof(f247,plain,
( spl0_4
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f245,plain,
spl0_3,
inference(avatar_split_clause,[],[f201,f242]) ).
fof(f201,plain,
ssList(sk4),
inference(definition_unfolding,[],[f187,f190]) ).
fof(f187,axiom,
ssList(sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_2) ).
fof(f240,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f195,f237,f233]) ).
fof(f195,axiom,
( ~ neq(sk4,nil)
| sk3 = cons(sk5,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC119-1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 18:14:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (14938)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (14961)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.50 % (14953)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.50 % (14948)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (14944)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.51 % (14942)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.51 % (14965)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.51 % (14940)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (14939)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52 % (14944)Instruction limit reached!
% 0.19/0.52 % (14944)------------------------------
% 0.19/0.52 % (14944)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (14944)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (14944)Termination reason: Unknown
% 0.19/0.52 % (14944)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (14944)Memory used [KB]: 5756
% 0.19/0.52 % (14944)Time elapsed: 0.076 s
% 0.19/0.52 % (14944)Instructions burned: 8 (million)
% 0.19/0.52 % (14944)------------------------------
% 0.19/0.52 % (14944)------------------------------
% 0.19/0.53 % (14963)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.53 % (14964)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (14943)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (14952)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.53 % (14967)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (14937)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 % (14958)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.53 % (14945)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (14941)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (14945)Instruction limit reached!
% 0.19/0.53 % (14945)------------------------------
% 0.19/0.53 % (14945)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (14945)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (14945)Termination reason: Unknown
% 0.19/0.53 % (14945)Termination phase: Property scanning
% 0.19/0.53
% 0.19/0.53 % (14945)Memory used [KB]: 1151
% 0.19/0.53 % (14945)Time elapsed: 0.004 s
% 0.19/0.53 % (14945)Instructions burned: 3 (million)
% 0.19/0.53 % (14945)------------------------------
% 0.19/0.53 % (14945)------------------------------
% 0.19/0.54 % (14966)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.54 % (14938)Refutation not found, incomplete strategy% (14938)------------------------------
% 0.19/0.54 % (14938)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.54 % (14938)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.54 % (14938)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.54
% 0.19/0.54 % (14938)Memory used [KB]: 6012
% 0.19/0.54 % (14938)Time elapsed: 0.129 s
% 0.19/0.54 % (14938)Instructions burned: 19 (million)
% 0.19/0.54 % (14938)------------------------------
% 0.19/0.54 % (14938)------------------------------
% 0.19/0.54 % (14950)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.54 % (14962)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (14956)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (14960)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (14959)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.54 % (14954)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (14946)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.55 % (14947)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (14955)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.55 % (14957)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.55 % (14951)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.58 TRYING [1]
% 0.19/0.58 TRYING [2]
% 0.19/0.59 TRYING [1]
% 0.19/0.59 TRYING [2]
% 0.19/0.59 TRYING [3]
% 0.19/0.59 % (14943)Instruction limit reached!
% 0.19/0.59 % (14943)------------------------------
% 0.19/0.59 % (14943)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59 % (14943)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59 % (14943)Termination reason: Unknown
% 0.19/0.59 % (14943)Termination phase: Finite model building constraint generation
% 0.19/0.59
% 0.19/0.59 % (14943)Memory used [KB]: 7675
% 0.19/0.59 % (14943)Time elapsed: 0.193 s
% 0.19/0.59 % (14943)Instructions burned: 55 (million)
% 0.19/0.59 % (14943)------------------------------
% 0.19/0.59 % (14943)------------------------------
% 0.19/0.60 % (14942)Instruction limit reached!
% 0.19/0.60 % (14942)------------------------------
% 0.19/0.60 % (14942)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60 % (14942)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60 % (14942)Termination reason: Unknown
% 0.19/0.60 % (14942)Termination phase: Saturation
% 0.19/0.60
% 0.19/0.60 % (14942)Memory used [KB]: 6268
% 0.19/0.60 % (14942)Time elapsed: 0.199 s
% 0.19/0.60 % (14942)Instructions burned: 49 (million)
% 0.19/0.60 % (14942)------------------------------
% 0.19/0.60 % (14942)------------------------------
% 1.94/0.61 % (14939)Instruction limit reached!
% 1.94/0.61 % (14939)------------------------------
% 1.94/0.61 % (14939)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (14939)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14939)Termination reason: Unknown
% 1.94/0.61 % (14939)Termination phase: Saturation
% 1.94/0.61
% 1.94/0.61 % (14939)Memory used [KB]: 1791
% 1.94/0.61 % (14939)Time elapsed: 0.204 s
% 1.94/0.61 % (14939)Instructions burned: 38 (million)
% 1.94/0.61 % (14939)------------------------------
% 1.94/0.61 % (14939)------------------------------
% 1.94/0.61 TRYING [3]
% 1.94/0.61 % (14941)Instruction limit reached!
% 1.94/0.61 % (14941)------------------------------
% 1.94/0.61 % (14941)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.94/0.61 % (14941)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.94/0.61 % (14941)Termination reason: Unknown
% 1.94/0.61 % (14941)Termination phase: Saturation
% 1.94/0.61
% 1.94/0.61 % (14941)Memory used [KB]: 6524
% 1.94/0.61 % (14941)Time elapsed: 0.209 s
% 1.94/0.61 % (14941)Instructions burned: 52 (million)
% 1.94/0.61 % (14941)------------------------------
% 1.94/0.61 % (14941)------------------------------
% 1.94/0.62 % (14948)Instruction limit reached!
% 1.94/0.62 % (14948)------------------------------
% 1.94/0.62 % (14948)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62 % (14940)Instruction limit reached!
% 2.07/0.62 % (14940)------------------------------
% 2.07/0.62 % (14940)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62 % (14940)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (14940)Termination reason: Unknown
% 2.07/0.62 % (14940)Termination phase: Saturation
% 2.07/0.62
% 2.07/0.62 % (14940)Memory used [KB]: 6652
% 2.07/0.62 % (14940)Time elapsed: 0.201 s
% 2.07/0.62 % (14940)Instructions burned: 51 (million)
% 2.07/0.62 % (14940)------------------------------
% 2.07/0.62 % (14940)------------------------------
% 2.07/0.62 % (14948)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (14948)Termination reason: Unknown
% 2.07/0.62 % (14948)Termination phase: Saturation
% 2.07/0.62
% 2.07/0.62 % (14948)Memory used [KB]: 7547
% 2.07/0.62 % (14948)Time elapsed: 0.202 s
% 2.07/0.62 % (14948)Instructions burned: 100 (million)
% 2.07/0.62 % (14948)------------------------------
% 2.07/0.62 % (14948)------------------------------
% 2.07/0.62 % (14953)Instruction limit reached!
% 2.07/0.62 % (14953)------------------------------
% 2.07/0.62 % (14953)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.07/0.62 % (14953)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.07/0.62 % (14953)Termination reason: Unknown
% 2.07/0.62 % (14953)Termination phase: Saturation
% 2.07/0.62
% 2.07/0.62 % (14953)Memory used [KB]: 2302
% 2.07/0.62 % (14953)Time elapsed: 0.186 s
% 2.07/0.62 % (14953)Instructions burned: 75 (million)
% 2.07/0.62 % (14953)------------------------------
% 2.07/0.62 % (14953)------------------------------
% 2.14/0.63 % (14946)Instruction limit reached!
% 2.14/0.63 % (14946)------------------------------
% 2.14/0.63 % (14946)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (14946)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (14946)Termination reason: Unknown
% 2.14/0.63 % (14946)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (14946)Memory used [KB]: 2174
% 2.14/0.63 % (14946)Time elapsed: 0.220 s
% 2.14/0.63 % (14946)Instructions burned: 52 (million)
% 2.14/0.63 % (14946)------------------------------
% 2.14/0.63 % (14946)------------------------------
% 2.14/0.63 % (14947)Instruction limit reached!
% 2.14/0.63 % (14947)------------------------------
% 2.14/0.63 % (14947)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (14947)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (14947)Termination reason: Unknown
% 2.14/0.63 % (14947)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (14947)Memory used [KB]: 6780
% 2.14/0.63 % (14947)Time elapsed: 0.232 s
% 2.14/0.63 % (14947)Instructions burned: 52 (million)
% 2.14/0.63 % (14947)------------------------------
% 2.14/0.63 % (14947)------------------------------
% 2.14/0.64 TRYING [3]
% 2.14/0.64 % (14955)Instruction limit reached!
% 2.14/0.64 % (14955)------------------------------
% 2.14/0.64 % (14955)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (14955)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (14955)Termination reason: Unknown
% 2.14/0.64 % (14955)Termination phase: Finite model building constraint generation
% 2.14/0.64
% 2.14/0.64 % (14955)Memory used [KB]: 8059
% 2.14/0.64 % (14955)Time elapsed: 0.237 s
% 2.14/0.64 % (14955)Instructions burned: 60 (million)
% 2.14/0.64 % (14955)------------------------------
% 2.14/0.64 % (14955)------------------------------
% 2.14/0.66 % (15067)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.14/0.67 % (14964)Instruction limit reached!
% 2.14/0.67 % (14964)------------------------------
% 2.14/0.67 % (14964)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (14964)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (14964)Termination reason: Unknown
% 2.14/0.67 % (14964)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (14964)Memory used [KB]: 7036
% 2.14/0.67 % (14964)Time elapsed: 0.039 s
% 2.14/0.67 % (14964)Instructions burned: 69 (million)
% 2.14/0.67 % (14964)------------------------------
% 2.14/0.67 % (14964)------------------------------
% 2.14/0.67 % (15072)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.14/0.67 % (14952)Instruction limit reached!
% 2.14/0.67 % (14952)------------------------------
% 2.14/0.67 % (14952)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (14952)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (14952)Termination reason: Unknown
% 2.14/0.67 % (14952)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (14952)Memory used [KB]: 7036
% 2.14/0.67 % (14952)Time elapsed: 0.039 s
% 2.14/0.67 % (14952)Instructions burned: 68 (million)
% 2.14/0.67 % (14952)------------------------------
% 2.14/0.67 % (14952)------------------------------
% 2.14/0.70 % (15074)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.62/0.71 % (15100)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.62/0.71 % (14957)Instruction limit reached!
% 2.62/0.71 % (14957)------------------------------
% 2.62/0.71 % (14957)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (14957)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.71 % (14957)Termination reason: Unknown
% 2.62/0.71 % (14957)Termination phase: Saturation
% 2.62/0.71
% 2.62/0.71 % (14957)Memory used [KB]: 2558
% 2.62/0.71 % (14957)Time elapsed: 0.314 s
% 2.62/0.71 % (14957)Instructions burned: 100 (million)
% 2.62/0.71 % (14957)------------------------------
% 2.62/0.71 % (14957)------------------------------
% 2.62/0.71 % (14951)Instruction limit reached!
% 2.62/0.71 % (14951)------------------------------
% 2.62/0.71 % (14951)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (14951)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.71 % (14951)Termination reason: Unknown
% 2.62/0.71 % (14951)Termination phase: Saturation
% 2.62/0.71
% 2.62/0.71 % (14951)Memory used [KB]: 7164
% 2.62/0.71 % (14951)Time elapsed: 0.309 s
% 2.62/0.71 % (14951)Instructions burned: 99 (million)
% 2.62/0.71 % (14951)------------------------------
% 2.62/0.71 % (14951)------------------------------
% 2.62/0.71 % (14954)Instruction limit reached!
% 2.62/0.71 % (14954)------------------------------
% 2.62/0.71 % (14954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.71 % (14954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.71 % (14954)Termination reason: Unknown
% 2.62/0.71 % (14954)Termination phase: Saturation
% 2.62/0.71
% 2.62/0.71 % (14954)Memory used [KB]: 6780
% 2.62/0.71 % (14954)Time elapsed: 0.298 s
% 2.62/0.71 % (14954)Instructions burned: 99 (million)
% 2.62/0.71 % (14954)------------------------------
% 2.62/0.71 % (14954)------------------------------
% 2.62/0.72 % (14965)Instruction limit reached!
% 2.62/0.72 % (14965)------------------------------
% 2.62/0.72 % (14965)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (14956)Instruction limit reached!
% 2.62/0.73 % (14956)------------------------------
% 2.62/0.73 % (14956)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (14956)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (14956)Termination reason: Unknown
% 2.62/0.73 % (14956)Termination phase: Saturation
% 2.62/0.73
% 2.62/0.73 % (14956)Memory used [KB]: 7675
% 2.62/0.73 % (14956)Time elapsed: 0.328 s
% 2.62/0.73 % (14956)Instructions burned: 101 (million)
% 2.62/0.73 % (14956)------------------------------
% 2.62/0.73 % (14956)------------------------------
% 2.62/0.73 % (14950)Instruction limit reached!
% 2.62/0.73 % (14950)------------------------------
% 2.62/0.73 % (14950)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.73 % (14950)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (14950)Termination reason: Unknown
% 2.62/0.73 % (14950)Termination phase: Saturation
% 2.62/0.73
% 2.62/0.73 % (14950)Memory used [KB]: 7291
% 2.62/0.73 % (14950)Time elapsed: 0.330 s
% 2.62/0.73 % (14950)Instructions burned: 101 (million)
% 2.62/0.73 % (14950)------------------------------
% 2.62/0.73 % (14950)------------------------------
% 2.62/0.73 % (15104)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.62/0.73 % (15110)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.62/0.73 % (14965)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.73 % (14965)Termination reason: Unknown
% 2.62/0.73 % (14965)Termination phase: Saturation
% 2.62/0.73
% 2.62/0.73 % (14965)Memory used [KB]: 3965
% 2.62/0.73 % (14965)Time elapsed: 0.304 s
% 2.62/0.73 % (14965)Instructions burned: 178 (million)
% 2.62/0.73 % (14965)------------------------------
% 2.62/0.73 % (14965)------------------------------
% 2.62/0.74 % (15108)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.62/0.74 % (14959)Instruction limit reached!
% 2.62/0.74 % (14959)------------------------------
% 2.62/0.74 % (14959)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.62/0.75 % (14959)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.62/0.75 % (14959)Termination reason: Unknown
% 2.62/0.75 % (14959)Termination phase: Saturation
% 2.62/0.75
% 2.62/0.75 % (14959)Memory used [KB]: 8187
% 2.62/0.75 % (14959)Time elapsed: 0.340 s
% 2.62/0.75 % (14959)Instructions burned: 138 (million)
% 2.62/0.75 % (14959)------------------------------
% 2.62/0.75 % (14959)------------------------------
% 2.62/0.75 % (15109)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.62/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.62/0.76 % (15112)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.62/0.76 % (15111)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.62/0.77 % (15113)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.62/0.77 % (15114)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.62/0.77 % (15115)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.62/0.77 TRYING [4]
% 2.94/0.80 % (15128)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 2.94/0.81 % (15131)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 2.94/0.81 % (15146)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 2.94/0.82 % (14958)Instruction limit reached!
% 2.94/0.82 % (14958)------------------------------
% 2.94/0.82 % (14958)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.82 % (14958)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.82 % (14958)Termination reason: Unknown
% 2.94/0.82 % (14958)Termination phase: Saturation
% 2.94/0.82
% 2.94/0.82 % (14958)Memory used [KB]: 6908
% 2.94/0.82 % (14958)Time elapsed: 0.420 s
% 2.94/0.82 % (14958)Instructions burned: 178 (million)
% 2.94/0.82 % (14958)------------------------------
% 2.94/0.82 % (14958)------------------------------
% 2.94/0.84 % (15074)Instruction limit reached!
% 2.94/0.84 % (15074)------------------------------
% 2.94/0.84 % (15074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.84 % (15074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.84 % (15074)Termination reason: Unknown
% 2.94/0.84 % (15074)Termination phase: Saturation
% 2.94/0.84
% 2.94/0.84 % (15074)Memory used [KB]: 7291
% 2.94/0.84 % (15074)Time elapsed: 0.278 s
% 2.94/0.84 % (15074)Instructions burned: 90 (million)
% 2.94/0.84 % (15074)------------------------------
% 2.94/0.84 % (15074)------------------------------
% 2.94/0.85 % (15110)Instruction limit reached!
% 2.94/0.85 % (15110)------------------------------
% 2.94/0.85 % (15110)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.94/0.85 % (15110)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.94/0.85 % (15110)Termination reason: Unknown
% 2.94/0.85 % (15110)Termination phase: Saturation
% 2.94/0.85
% 2.94/0.85 % (15110)Memory used [KB]: 7036
% 2.94/0.85 % (15110)Time elapsed: 0.039 s
% 2.94/0.85 % (15110)Instructions burned: 69 (million)
% 2.94/0.85 % (15110)------------------------------
% 2.94/0.85 % (15110)------------------------------
% 2.94/0.85 % (15143)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 2.94/0.85 % (15150)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 2.94/0.86 % (15155)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 2.94/0.86 % (15164)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4585Mi)
% 2.94/0.86 % (15157)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 2.94/0.87 % (15152)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.40/0.93 % (15113)Instruction limit reached!
% 3.40/0.93 % (15113)------------------------------
% 3.40/0.93 % (15113)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.95 % (15198)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.40/0.95 % (15113)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.95 % (15113)Termination reason: Unknown
% 3.40/0.95 % (15113)Termination phase: Saturation
% 3.40/0.95
% 3.40/0.95 % (15113)Memory used [KB]: 6780
% 3.40/0.95 % (15113)Time elapsed: 0.270 s
% 3.40/0.95 % (15113)Instructions burned: 90 (million)
% 3.40/0.95 % (15113)------------------------------
% 3.40/0.95 % (15113)------------------------------
% 3.40/0.95 % (15200)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.40/0.97 % (15150)Instruction limit reached!
% 3.40/0.97 % (15150)------------------------------
% 3.40/0.97 % (15150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.40/0.97 % (15150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.40/0.97 % (15150)Termination reason: Unknown
% 3.40/0.97 % (15150)Termination phase: Saturation
% 3.40/0.97
% 3.40/0.97 % (15150)Memory used [KB]: 7036
% 3.40/0.97 % (15150)Time elapsed: 0.035 s
% 3.40/0.97 % (15150)Instructions burned: 68 (million)
% 3.40/0.97 % (15150)------------------------------
% 3.40/0.97 % (15150)------------------------------
% 3.40/0.99 % (15199)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2016Mi)
% 3.74/1.06 % (15072)Instruction limit reached!
% 3.74/1.06 % (15072)------------------------------
% 3.74/1.06 % (15072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.74/1.06 % (15072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.74/1.06 % (15072)Termination reason: Unknown
% 3.74/1.06 % (15072)Termination phase: Saturation
% 3.74/1.06
% 3.74/1.06 % (15072)Memory used [KB]: 4477
% 3.74/1.06 % (15072)Time elapsed: 0.454 s
% 3.74/1.06 % (15072)Instructions burned: 212 (million)
% 3.74/1.06 % (15072)------------------------------
% 3.74/1.06 % (15072)------------------------------
% 3.74/1.07 % (15201)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 3.88/1.08 % (14967)Instruction limit reached!
% 3.88/1.08 % (14967)------------------------------
% 3.88/1.08 % (14967)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.08 % (14967)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.08 % (14967)Termination reason: Unknown
% 3.88/1.08 % (14967)Termination phase: Saturation
% 3.88/1.08
% 3.88/1.08 % (14967)Memory used [KB]: 11897
% 3.88/1.08 % (14967)Time elapsed: 0.678 s
% 3.88/1.08 % (14967)Instructions burned: 356 (million)
% 3.88/1.08 % (14967)------------------------------
% 3.88/1.08 % (14967)------------------------------
% 3.88/1.09 % (15202)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 3.88/1.11 % (15198)Instruction limit reached!
% 3.88/1.11 % (15198)------------------------------
% 3.88/1.11 % (15198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.88/1.13 % (15198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.88/1.13 % (15198)Termination reason: Unknown
% 3.88/1.13 % (15198)Termination phase: Saturation
% 3.88/1.13
% 3.88/1.13 % (15198)Memory used [KB]: 6908
% 3.88/1.13 % (15198)Time elapsed: 0.261 s
% 3.88/1.13 % (15198)Instructions burned: 91 (million)
% 3.88/1.13 % (15198)------------------------------
% 3.88/1.13 % (15198)------------------------------
% 6.49/1.19 % (15203)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.64/1.21 % (15204)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 6.86/1.24 TRYING [5]
% 6.86/1.28 % (14961)Instruction limit reached!
% 6.86/1.28 % (14961)------------------------------
% 6.86/1.28 % (14961)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.28 % (14961)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.28 % (14961)Termination reason: Unknown
% 6.86/1.28 % (14961)Termination phase: Saturation
% 6.86/1.28
% 6.86/1.28 % (14961)Memory used [KB]: 8571
% 6.86/1.28 % (14961)Time elapsed: 0.835 s
% 6.86/1.28 % (14961)Instructions burned: 468 (million)
% 6.86/1.28 % (14961)------------------------------
% 6.86/1.28 % (14961)------------------------------
% 6.86/1.29 % (15205)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9989Mi)
% 6.86/1.29 % (15067)Instruction limit reached!
% 6.86/1.29 % (15067)------------------------------
% 6.86/1.29 % (15067)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.29 % (15067)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.29 % (15067)Termination reason: Unknown
% 6.86/1.29 % (15067)Termination phase: Saturation
% 6.86/1.29
% 6.86/1.29 % (15067)Memory used [KB]: 10106
% 6.86/1.29 % (15067)Time elapsed: 0.736 s
% 6.86/1.29 % (15067)Instructions burned: 389 (million)
% 6.86/1.29 % (15067)------------------------------
% 6.86/1.29 % (15067)------------------------------
% 6.86/1.33 % (14966)Instruction limit reached!
% 6.86/1.33 % (14966)------------------------------
% 6.86/1.33 % (14966)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.33 % (14966)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.33 % (14966)Termination reason: Unknown
% 6.86/1.33 % (14966)Termination phase: Saturation
% 6.86/1.33
% 6.86/1.33 % (14966)Memory used [KB]: 10874
% 6.86/1.33 % (14966)Time elapsed: 0.899 s
% 6.86/1.33 % (14966)Instructions burned: 440 (million)
% 6.86/1.33 % (14966)------------------------------
% 6.86/1.33 % (14966)------------------------------
% 7.67/1.39 % (14960)Instruction limit reached!
% 7.67/1.39 % (14960)------------------------------
% 7.67/1.39 % (14960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.67/1.39 % (14960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.67/1.39 % (14960)Termination reason: Unknown
% 7.67/1.39 % (14960)Termination phase: Saturation
% 7.67/1.39
% 7.67/1.39 % (14960)Memory used [KB]: 6396
% 7.67/1.39 % (14960)Time elapsed: 0.991 s
% 7.67/1.39 % (14960)Instructions burned: 500 (million)
% 7.67/1.39 % (14960)------------------------------
% 7.67/1.39 % (14960)------------------------------
% 8.15/1.41 % (14962)Instruction limit reached!
% 8.15/1.41 % (14962)------------------------------
% 8.15/1.41 % (14962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.41 % (14962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.41 % (14962)Termination reason: Unknown
% 8.15/1.41 % (14962)Termination phase: Saturation
% 8.15/1.41
% 8.15/1.41 % (14962)Memory used [KB]: 13048
% 8.15/1.41 % (14962)Time elapsed: 1.007 s
% 8.15/1.41 % (14962)Instructions burned: 482 (million)
% 8.15/1.41 % (14962)------------------------------
% 8.15/1.41 % (14962)------------------------------
% 8.15/1.42 % (15206)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.15/1.42 % (14963)Instruction limit reached!
% 8.15/1.42 % (14963)------------------------------
% 8.15/1.42 % (14963)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.15/1.42 % (14963)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.15/1.42 % (14963)Termination reason: Unknown
% 8.15/1.42 % (14963)Termination phase: Saturation
% 8.15/1.42
% 8.15/1.42 % (14963)Memory used [KB]: 13432
% 8.15/1.42 % (14963)Time elapsed: 1.016 s
% 8.15/1.42 % (14963)Instructions burned: 500 (million)
% 8.15/1.42 % (14963)------------------------------
% 8.15/1.42 % (14963)------------------------------
% 8.15/1.43 % (15207)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/90Mi)
% 8.15/1.46 % (15208)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/44001Mi)
% 9.01/1.54 % (15209)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 9.01/1.55 % (15210)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 9.01/1.56 % (15211)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/32293Mi)
% 9.01/1.59 % (15207)Instruction limit reached!
% 9.01/1.59 % (15207)------------------------------
% 9.01/1.59 % (15207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.01/1.59 % (15207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.01/1.59 % (15207)Termination reason: Unknown
% 9.01/1.59 % (15207)Termination phase: Saturation
% 9.01/1.59
% 9.01/1.59 % (15207)Memory used [KB]: 6908
% 9.01/1.59 % (15207)Time elapsed: 0.275 s
% 9.01/1.59 % (15207)Instructions burned: 91 (million)
% 9.01/1.59 % (15207)------------------------------
% 9.01/1.59 % (15207)------------------------------
% 10.18/1.74 % (15212)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/37001Mi)
% 11.41/1.82 % (15109)Instruction limit reached!
% 11.41/1.82 % (15109)------------------------------
% 11.41/1.82 % (15109)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.41/1.83 % (15109)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.41/1.83 % (15109)Termination reason: Unknown
% 11.41/1.83 % (15109)Termination phase: Saturation
% 11.41/1.83
% 11.41/1.83 % (15109)Memory used [KB]: 7931
% 11.41/1.83 % (15109)Time elapsed: 1.176 s
% 11.41/1.83 % (15109)Instructions burned: 656 (million)
% 11.41/1.83 % (15109)------------------------------
% 11.41/1.83 % (15109)------------------------------
% 12.84/1.99 % (15213)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2985ds/10187Mi)
% 12.84/2.01 % (15108)Instruction limit reached!
% 12.84/2.01 % (15108)------------------------------
% 12.84/2.01 % (15108)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.84/2.02 % (15108)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.84/2.02 % (15108)Termination reason: Unknown
% 12.84/2.02 % (15108)Termination phase: Saturation
% 12.84/2.02
% 12.84/2.02 % (15108)Memory used [KB]: 17014
% 12.84/2.02 % (15108)Time elapsed: 1.368 s
% 12.84/2.02 % (15108)Instructions burned: 748 (million)
% 12.84/2.02 % (15108)------------------------------
% 12.84/2.02 % (15108)------------------------------
% 13.78/2.12 % (15214)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 14.60/2.23 % (15100)Instruction limit reached!
% 14.60/2.23 % (15100)------------------------------
% 14.60/2.23 % (15100)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 14.60/2.23 % (15100)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 14.60/2.23 % (15100)Termination reason: Unknown
% 14.60/2.23 % (15100)Termination phase: Saturation
% 14.60/2.23
% 14.60/2.23 % (15100)Memory used [KB]: 20724
% 14.60/2.23 % (15100)Time elapsed: 1.584 s
% 14.60/2.23 % (15100)Instructions burned: 920 (million)
% 14.60/2.23 % (15100)------------------------------
% 14.60/2.23 % (15100)------------------------------
% 15.34/2.36 % (15104)Instruction limit reached!
% 15.34/2.36 % (15104)------------------------------
% 15.34/2.36 % (15104)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.34/2.36 % (15104)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.34/2.36 % (15104)Termination reason: Unknown
% 15.34/2.36 % (15104)Termination phase: Saturation
% 15.34/2.36
% 15.34/2.36 % (15104)Memory used [KB]: 20852
% 15.34/2.36 % (15104)Time elapsed: 1.718 s
% 15.34/2.36 % (15104)Instructions burned: 934 (million)
% 15.34/2.36 % (15104)------------------------------
% 15.34/2.36 % (15104)------------------------------
% 15.34/2.37 % (15111)Instruction limit reached!
% 15.34/2.37 % (15111)------------------------------
% 15.34/2.37 % (15111)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.34/2.37 % (15111)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.34/2.37 % (15111)Termination reason: Unknown
% 15.34/2.37 % (15111)Termination phase: Saturation
% 15.34/2.37
% 15.34/2.37 % (15111)Memory used [KB]: 16630
% 15.34/2.37 % (15111)Time elapsed: 1.715 s
% 15.34/2.37 % (15111)Instructions burned: 940 (million)
% 15.34/2.37 % (15111)------------------------------
% 15.34/2.37 % (15111)------------------------------
% 15.99/2.38 % (15215)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2980ds/10147Mi)
% 16.35/2.48 % (15216)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/38056Mi)
% 16.35/2.49 % (15112)Instruction limit reached!
% 16.35/2.49 % (15112)------------------------------
% 16.35/2.49 % (15112)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.35/2.49 % (15112)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.35/2.49 % (15112)Termination reason: Unknown
% 16.35/2.49 % (15112)Termination phase: Saturation
% 16.35/2.49
% 16.35/2.49 % (15112)Memory used [KB]: 20724
% 16.35/2.49 % (15112)Time elapsed: 1.672 s
% 16.35/2.49 % (15112)Instructions burned: 981 (million)
% 16.35/2.49 % (15112)------------------------------
% 16.35/2.49 % (15112)------------------------------
% 16.98/2.51 TRYING [1]
% 16.98/2.51 TRYING [2]
% 16.98/2.52 % (15217)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/33239Mi)
% 16.98/2.53 TRYING [6]
% 16.98/2.54 TRYING [1]
% 16.98/2.55 TRYING [2]
% 16.98/2.56 TRYING [3]
% 16.98/2.58 TRYING [3]
% 17.55/2.64 % (15218)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/20987Mi)
% 17.55/2.67 TRYING [1]
% 18.21/2.68 TRYING [2]
% 18.29/2.69 TRYING [4]
% 18.46/2.71 TRYING [4]
% 18.46/2.72 TRYING [3]
% 19.51/2.87 TRYING [4]
% 20.08/2.98 % (15152)Instruction limit reached!
% 20.08/2.98 % (15152)------------------------------
% 20.08/2.98 % (15152)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.85/2.99 % (15152)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.85/2.99 % (15152)Termination reason: Unknown
% 20.85/2.99 % (15152)Termination phase: Saturation
% 20.85/2.99
% 20.85/2.99 % (15152)Memory used [KB]: 3582
% 20.85/2.99 % (15152)Time elapsed: 2.218 s
% 20.85/2.99 % (15152)Instructions burned: 1824 (million)
% 20.85/2.99 % (15152)------------------------------
% 20.85/2.99 % (15152)------------------------------
% 21.78/3.12 TRYING [5]
% 21.78/3.14 % (15219)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=49917:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/49917Mi)
% 21.78/3.16 % (15204)Instruction limit reached!
% 21.78/3.16 % (15204)------------------------------
% 21.78/3.16 % (15204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 21.78/3.16 % (15204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 21.78/3.16 % (15204)Termination reason: Unknown
% 21.78/3.16 % (15204)Termination phase: Saturation
% 21.78/3.16
% 21.78/3.17 % (15204)Memory used [KB]: 3198
% 21.78/3.17 % (15204)Time elapsed: 2.009 s
% 21.78/3.17 % (15204)Instructions burned: 1826 (million)
% 21.78/3.17 % (15204)------------------------------
% 21.78/3.17 % (15204)------------------------------
% 21.78/3.17 TRYING [1]
% 21.78/3.18 TRYING [2]
% 21.78/3.18 TRYING [5]
% 21.78/3.18 TRYING [3]
% 23.29/3.31 % (15220)dis+2_1:64_add=large:bce=on:bd=off:i=19144:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/19144Mi)
% 23.47/3.32 TRYING [4]
% 23.47/3.38 TRYING [5]
% 26.67/3.79 TRYING [5]
% 28.01/3.96 % (15199)Instruction limit reached!
% 28.01/3.96 % (15199)------------------------------
% 28.01/3.96 % (15199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 28.01/3.96 % (15199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 28.01/3.96 % (15199)Termination reason: Unknown
% 28.01/3.96 % (15199)Termination phase: Saturation
% 28.01/3.96
% 28.01/3.96 % (15199)Memory used [KB]: 21620
% 28.01/3.96 % (15199)Time elapsed: 3.053 s
% 28.01/3.96 % (15199)Instructions burned: 2016 (million)
% 28.01/3.96 % (15199)------------------------------
% 28.01/3.96 % (15199)------------------------------
% 29.11/4.09 % (15221)dis+10_1:128_bd=off:lcm=predicate:sac=on:sp=reverse_arity:urr=on:i=27492:si=on:rawr=on:rtra=on_0 on theBenchmark for (2963ds/27492Mi)
% 29.11/4.10 % (15114)Instruction limit reached!
% 29.11/4.10 % (15114)------------------------------
% 29.11/4.10 % (15114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 29.11/4.10 % (15114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 29.11/4.10 % (15114)Termination reason: Unknown
% 29.11/4.10 % (15114)Termination phase: Saturation
% 29.11/4.10
% 29.11/4.10 % (15114)Memory used [KB]: 21748
% 29.11/4.10 % (15114)Time elapsed: 3.422 s
% 29.11/4.10 % (15114)Instructions burned: 2018 (million)
% 29.11/4.10 % (15114)------------------------------
% 29.11/4.10 % (15114)------------------------------
% 30.32/4.25 % (15222)ott-11_1:32_i=6101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/6101Mi)
% 31.47/4.35 % (15155)Instruction limit reached!
% 31.47/4.35 % (15155)------------------------------
% 31.47/4.35 % (15155)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 31.47/4.35 % (15155)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 31.47/4.35 % (15155)Termination reason: Unknown
% 31.47/4.35 % (15155)Termination phase: Saturation
% 31.47/4.35
% 31.47/4.35 % (15155)Memory used [KB]: 28784
% 31.47/4.35 % (15155)Time elapsed: 3.545 s
% 31.47/4.35 % (15155)Instructions burned: 2135 (million)
% 31.47/4.35 % (15155)------------------------------
% 31.47/4.35 % (15155)------------------------------
% 31.47/4.39 TRYING [6]
% 32.61/4.50 % (15223)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2960ds/90Mi)
% 32.61/4.54 TRYING [6]
% 33.97/4.66 % (15223)Instruction limit reached!
% 33.97/4.66 % (15223)------------------------------
% 33.97/4.66 % (15223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 33.97/4.67 % (15223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 33.97/4.67 % (15223)Termination reason: Unknown
% 33.97/4.67 % (15223)Termination phase: Saturation
% 33.97/4.67
% 33.97/4.67 % (15223)Memory used [KB]: 6908
% 33.97/4.67 % (15223)Time elapsed: 0.272 s
% 33.97/4.67 % (15223)Instructions burned: 90 (million)
% 33.97/4.67 % (15223)------------------------------
% 33.97/4.67 % (15223)------------------------------
% 35.25/4.80 TRYING [6]
% 35.25/4.81 % (15224)ott+11_1:128_av=off:bd=off:bsr=unit_only:fd=preordered:to=lpo:updr=off:i=91600:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/91600Mi)
% 37.04/5.06 TRYING [6]
% 41.14/5.54 % (15157)Instruction limit reached!
% 41.14/5.54 % (15157)------------------------------
% 41.14/5.54 % (15157)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 41.14/5.55 % (15157)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 41.14/5.55 % (15157)Termination reason: Unknown
% 41.14/5.55 % (15157)Termination phase: Saturation
% 41.14/5.55
% 41.14/5.55 % (15157)Memory used [KB]: 36332
% 41.14/5.55 % (15157)Time elapsed: 4.624 s
% 41.14/5.55 % (15157)Instructions burned: 2892 (million)
% 41.14/5.55 % (15157)------------------------------
% 41.14/5.55 % (15157)------------------------------
% 41.79/5.66 TRYING [7]
% 41.79/5.67 % (15225)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=7127:si=on:rawr=on:rtra=on_0 on theBenchmark for (2948ds/7127Mi)
% 44.07/5.97 % (15128)Instruction limit reached!
% 44.07/5.97 % (15128)------------------------------
% 44.07/5.97 % (15128)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 44.07/5.97 % (15128)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 44.07/5.97 % (15128)Termination reason: Unknown
% 44.07/5.97 % (15128)Termination phase: Saturation
% 44.07/5.97
% 44.07/5.97 % (15128)Memory used [KB]: 4093
% 44.07/5.97 % (15128)Time elapsed: 4.984 s
% 44.07/5.97 % (15128)Instructions burned: 4960 (million)
% 44.07/5.97 % (15128)------------------------------
% 44.07/5.97 % (15128)------------------------------
% 45.52/6.09 % (15226)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2943ds/35256Mi)
% 45.78/6.21 % (15209)First to succeed.
% 46.56/6.27 % (15209)Refutation found. Thanks to Tanya!
% 46.56/6.27 % SZS status Unsatisfiable for theBenchmark
% 46.56/6.27 % SZS output start Proof for theBenchmark
% See solution above
% 46.56/6.29 % (15209)------------------------------
% 46.56/6.29 % (15209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 46.56/6.29 % (15209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 46.56/6.29 % (15209)Termination reason: Refutation
% 46.56/6.29
% 46.56/6.29 % (15209)Memory used [KB]: 4477
% 46.56/6.29 % (15209)Time elapsed: 4.315 s
% 46.56/6.29 % (15209)Instructions burned: 4559 (million)
% 46.56/6.29 % (15209)------------------------------
% 46.56/6.29 % (15209)------------------------------
% 46.56/6.29 % (14931)Success in time 5.914 s
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