TSTP Solution File: SWV455+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:53:11 EDT 2024
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 437
% Syntax : Number of formulae : 1410 ( 245 unt; 0 def)
% Number of atoms : 4723 ( 985 equ)
% Maximal formula atoms : 92 ( 3 avg)
% Number of connectives : 5832 (2519 ~;2451 |; 389 &)
% ( 395 <=>; 78 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 370 ( 368 usr; 362 prp; 0-2 aty)
% Number of functors : 43 ( 43 usr; 23 con; 0-2 aty)
% Number of variables : 1995 (1934 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4001,plain,
$false,
inference(avatar_sat_refutation,[],[f343,f348,f353,f358,f363,f368,f373,f378,f383,f388,f394,f400,f405,f410,f414,f427,f431,f435,f440,f454,f462,f467,f472,f477,f482,f487,f492,f496,f500,f504,f508,f512,f516,f525,f532,f536,f545,f565,f569,f574,f578,f582,f589,f593,f597,f601,f606,f610,f614,f618,f622,f626,f630,f634,f638,f642,f646,f651,f655,f659,f663,f667,f671,f680,f685,f689,f693,f697,f701,f705,f709,f713,f717,f721,f725,f729,f736,f747,f751,f756,f760,f764,f768,f772,f776,f793,f797,f801,f805,f809,f813,f817,f821,f826,f830,f834,f838,f842,f864,f875,f879,f888,f892,f896,f922,f926,f930,f934,f938,f942,f946,f950,f986,f990,f994,f998,f1002,f1041,f1045,f1049,f1057,f1068,f1072,f1089,f1095,f1110,f1115,f1123,f1131,f1135,f1139,f1143,f1149,f1153,f1157,f1178,f1182,f1201,f1205,f1209,f1213,f1222,f1232,f1242,f1250,f1259,f1268,f1276,f1280,f1285,f1289,f1293,f1297,f1336,f1340,f1348,f1352,f1356,f1364,f1368,f1372,f1376,f1380,f1384,f1388,f1424,f1439,f1448,f1455,f1459,f1463,f1467,f1473,f1508,f1519,f1530,f1534,f1538,f1563,f1577,f1582,f1586,f1590,f1594,f1598,f1602,f1606,f1610,f1614,f1688,f1692,f1696,f1700,f1704,f1708,f1712,f1716,f1720,f1785,f1789,f1793,f1820,f1832,f1836,f1840,f1883,f1887,f1891,f1897,f1901,f1978,f1982,f1998,f2018,f2022,f2026,f2030,f2096,f2104,f2110,f2114,f2118,f2122,f2126,f2130,f2134,f2139,f2143,f2174,f2179,f2186,f2198,f2205,f2213,f2217,f2221,f2226,f2231,f2235,f2260,f2264,f2268,f2298,f2302,f2310,f2319,f2332,f2345,f2354,f2364,f2369,f2370,f2377,f2381,f2398,f2402,f2407,f2415,f2419,f2423,f2476,f2493,f2497,f2501,f2519,f2523,f2528,f2532,f2546,f2550,f2566,f2570,f2575,f2580,f2584,f2588,f2592,f2596,f2600,f2604,f2707,f2712,f2720,f2730,f2734,f2738,f2742,f2746,f2750,f2754,f2758,f2762,f2906,f2910,f2920,f2924,f2928,f2932,f2936,f2940,f2944,f2949,f2953,f2957,f2961,f3143,f3148,f3152,f3156,f3160,f3164,f3168,f3172,f3176,f3324,f3328,f3332,f3336,f3340,f3341,f3353,f3357,f3361,f3365,f3369,f3373,f3377,f3381,f3385,f3754,f3758,f3762,f3766,f3770,f3774,f3779,f3783,f3787,f3791,f3795,f3799,f3803,f3807,f3811,f3815,f3819,f3823,f3827,f3831,f4000]) ).
fof(f4000,plain,
( ~ spl13_12
| ~ spl13_296 ),
inference(avatar_split_clause,[],[f3346,f2718,f397]) ).
fof(f397,plain,
( spl13_12
<=> elem(m_Down(sK8),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_12])]) ).
fof(f2718,plain,
( spl13_296
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_296])]) ).
fof(f3346,plain,
( ~ elem(m_Down(sK8),queue(host(sK6)))
| ~ spl13_296 ),
inference(equality_resolution,[],[f2719]) ).
fof(f2719,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl13_296 ),
inference(avatar_component_clause,[],[f2718]) ).
fof(f3831,plain,
( spl13_361
| ~ spl13_29
| ~ spl13_81
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2070,f2020,f745,f494,f3829]) ).
fof(f3829,plain,
( spl13_361
<=> ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_361])]) ).
fof(f494,plain,
( spl13_29
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_29])]) ).
fof(f745,plain,
( spl13_81
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_81])]) ).
fof(f2020,plain,
( spl13_224
<=> ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_224])]) ).
fof(f2070,plain,
( ! [X0,X1] :
( sP1(X0,cons(X1,q_nil))
| sK12(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_29
| ~ spl13_81
| ~ spl13_224 ),
inference(forward_demodulation,[],[f2069,f746]) ).
fof(f746,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl13_81 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f2069,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,q_nil)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_29
| ~ spl13_81
| ~ spl13_224 ),
inference(forward_demodulation,[],[f2057,f746]) ).
fof(f2057,plain,
( ! [X0,X1] :
( sK12(X0,snoc(q_nil,X1)) = X1
| sP1(X0,snoc(q_nil,X1)) )
| ~ spl13_29
| ~ spl13_224 ),
inference(resolution,[],[f2021,f495]) ).
fof(f495,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl13_29 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f2021,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,snoc(X1,X2)),X1)
| sK12(X0,snoc(X1,X2)) = X2
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_224 ),
inference(avatar_component_clause,[],[f2020]) ).
fof(f3827,plain,
( spl13_360
| ~ spl13_29
| ~ spl13_81
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2050,f2016,f745,f494,f3825]) ).
fof(f3825,plain,
( spl13_360
<=> ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_360])]) ).
fof(f2016,plain,
( spl13_223
<=> ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_223])]) ).
fof(f2050,plain,
( ! [X0,X1] :
( sP0(X0,cons(X1,q_nil))
| sK11(X0,cons(X1,q_nil)) = X1 )
| ~ spl13_29
| ~ spl13_81
| ~ spl13_223 ),
inference(forward_demodulation,[],[f2049,f746]) ).
fof(f2049,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,q_nil)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_29
| ~ spl13_81
| ~ spl13_223 ),
inference(forward_demodulation,[],[f2037,f746]) ).
fof(f2037,plain,
( ! [X0,X1] :
( sK11(X0,snoc(q_nil,X1)) = X1
| sP0(X0,snoc(q_nil,X1)) )
| ~ spl13_29
| ~ spl13_223 ),
inference(resolution,[],[f2017,f495]) ).
fof(f2017,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,snoc(X1,X2)),X1)
| sK11(X0,snoc(X1,X2)) = X2
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_223 ),
inference(avatar_component_clause,[],[f2016]) ).
fof(f3823,plain,
( spl13_359
| ~ spl13_47
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f1974,f1899,f591,f3821]) ).
fof(f3821,plain,
( spl13_359
<=> ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_359])]) ).
fof(f591,plain,
( spl13_47
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_47])]) ).
fof(f1899,plain,
( spl13_219
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_219])]) ).
fof(f1974,plain,
( ! [X0] :
( sK10(m_Down(X0)) = X0
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_47
| ~ spl13_219 ),
inference(forward_demodulation,[],[f1962,f592]) ).
fof(f592,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl13_47 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f1962,plain,
( ! [X0] :
( pidMsg(m_Down(X0)) = sK10(m_Down(X0))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_47
| ~ spl13_219 ),
inference(superposition,[],[f592,f1900]) ).
fof(f1900,plain,
( ! [X0] :
( m_Down(X0) = m_Down(sK10(m_Down(X0)))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_219 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f3819,plain,
( spl13_358
| ~ spl13_46
| ~ spl13_47
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1956,f1895,f591,f587,f3817]) ).
fof(f3817,plain,
( spl13_358
<=> ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_358])]) ).
fof(f587,plain,
( spl13_46
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_46])]) ).
fof(f1895,plain,
( spl13_218
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_218])]) ).
fof(f1956,plain,
( ! [X0] :
( sK10(m_Halt(X0)) = X0
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_46
| ~ spl13_47
| ~ spl13_218 ),
inference(forward_demodulation,[],[f1946,f588]) ).
fof(f588,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl13_46 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f1946,plain,
( ! [X0] :
( pidMsg(m_Halt(X0)) = sK10(m_Halt(X0))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_47
| ~ spl13_218 ),
inference(superposition,[],[f592,f1896]) ).
fof(f1896,plain,
( ! [X0] :
( m_Halt(X0) = m_Down(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_218 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f3815,plain,
( spl13_357
| ~ spl13_56
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1947,f1895,f628,f3813]) ).
fof(f3813,plain,
( spl13_357
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_357])]) ).
fof(f628,plain,
( spl13_56
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_56])]) ).
fof(f1947,plain,
( ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_56
| ~ spl13_218 ),
inference(superposition,[],[f629,f1896]) ).
fof(f629,plain,
( ! [X0,X1] : m_Down(X0) != m_Halt(X1)
| ~ spl13_56 ),
inference(avatar_component_clause,[],[f628]) ).
fof(f3811,plain,
( spl13_356
| ~ spl13_73
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1918,f1881,f703,f3809]) ).
fof(f3809,plain,
( spl13_356
<=> ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_356])]) ).
fof(f703,plain,
( spl13_73
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_73])]) ).
fof(f1881,plain,
( spl13_215
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_215])]) ).
fof(f1918,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X0,X1))
| ordered(snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_215 ),
inference(superposition,[],[f704,f1882]) ).
fof(f1882,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_215 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f704,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl13_73 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f3807,plain,
( spl13_355
| ~ spl13_69
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1917,f1881,f687,f3805]) ).
fof(f3805,plain,
( spl13_355
<=> ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_355])]) ).
fof(f687,plain,
( spl13_69
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_69])]) ).
fof(f1917,plain,
( ! [X0,X1] :
( snoc(tail(X0),X1) = tail(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_69
| ~ spl13_215 ),
inference(superposition,[],[f688,f1882]) ).
fof(f688,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl13_69 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f3803,plain,
( spl13_354
| ~ spl13_81
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1825,f1791,f745,f3801]) ).
fof(f3801,plain,
( spl13_354
<=> ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_354])]) ).
fof(f1791,plain,
( spl13_210
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_210])]) ).
fof(f1825,plain,
( ! [X2,X0,X1] :
( ordered(cons(X2,cons(m_Ack(X0,X1),q_nil)))
| ~ ordered(cons(X2,q_nil)) )
| ~ spl13_81
| ~ spl13_210 ),
inference(superposition,[],[f1792,f746]) ).
fof(f1792,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_210 ),
inference(avatar_component_clause,[],[f1791]) ).
fof(f3799,plain,
( spl13_353
| ~ spl13_81
| ~ spl13_209 ),
inference(avatar_split_clause,[],[f1811,f1787,f745,f3797]) ).
fof(f3797,plain,
( spl13_353
<=> ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_353])]) ).
fof(f1787,plain,
( spl13_209
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_209])]) ).
fof(f1811,plain,
( ! [X2,X0,X1] :
( elem(X1,cons(X2,cons(X0,q_nil)))
| ~ elem(X1,cons(X2,q_nil)) )
| ~ spl13_81
| ~ spl13_209 ),
inference(superposition,[],[f1788,f746]) ).
fof(f1788,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_209 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f3795,plain,
( spl13_352
| ~ spl13_94
| ~ spl13_199 ),
inference(avatar_split_clause,[],[f1724,f1686,f811,f3793]) ).
fof(f3793,plain,
( spl13_352
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_352])]) ).
fof(f811,plain,
( spl13_94
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_94])]) ).
fof(f1686,plain,
( spl13_199
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_199])]) ).
fof(f1724,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X1),X0)
| ~ leq(X0,X1) )
| ~ spl13_94
| ~ spl13_199 ),
inference(resolution,[],[f1687,f812]) ).
fof(f812,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl13_94 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f1687,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| s(X0) = X1
| ~ leq(X1,X0) )
| ~ spl13_199 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f3791,plain,
( spl13_351
| ~ spl13_109
| ~ spl13_198 ),
inference(avatar_split_clause,[],[f1681,f1612,f920,f3789]) ).
fof(f3789,plain,
( spl13_351
<=> ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_351])]) ).
fof(f920,plain,
( spl13_109
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_109])]) ).
fof(f1612,plain,
( spl13_198
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_198])]) ).
fof(f1681,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,X0))
| ordered(cons(X1,init(X0)))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_198 ),
inference(superposition,[],[f1613,f921]) ).
fof(f921,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl13_109 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f1613,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_198 ),
inference(avatar_component_clause,[],[f1612]) ).
fof(f3787,plain,
( spl13_350
| ~ spl13_109
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1669,f1608,f920,f3785]) ).
fof(f3785,plain,
( spl13_350
<=> ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_350])]) ).
fof(f1608,plain,
( spl13_197
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_197])]) ).
fof(f1669,plain,
( ! [X0,X1] :
( cons(X1,init(X0)) = init(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_197 ),
inference(superposition,[],[f1609,f921]) ).
fof(f1609,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_197 ),
inference(avatar_component_clause,[],[f1608]) ).
fof(f3783,plain,
( spl13_349
| ~ spl13_170
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1657,f1600,f1378,f3781]) ).
fof(f3781,plain,
( spl13_349
<=> ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_349])]) ).
fof(f1378,plain,
( spl13_170
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_170])]) ).
fof(f1600,plain,
( spl13_195
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_195])]) ).
fof(f1657,plain,
( ! [X0] :
( elem(last(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_170
| ~ spl13_195 ),
inference(resolution,[],[f1601,f1379]) ).
fof(f1379,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_170 ),
inference(avatar_component_clause,[],[f1378]) ).
fof(f1601,plain,
( ! [X0,X1] :
( ~ elem(X1,tail(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_195 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f3779,plain,
( ~ spl13_348
| ~ spl13_129
| spl13_320 ),
inference(avatar_split_clause,[],[f3691,f3145,f1093,f3776]) ).
fof(f3776,plain,
( spl13_348
<=> elem(m_Down(sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_348])]) ).
fof(f1093,plain,
( spl13_129
<=> ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_129])]) ).
fof(f3145,plain,
( spl13_320
<=> elem(m_Down(sK5),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_320])]) ).
fof(f3691,plain,
( ~ elem(m_Down(sK5),sK2)
| ~ spl13_129
| spl13_320 ),
inference(resolution,[],[f3147,f1094]) ).
fof(f1094,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl13_129 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f3147,plain,
( ~ elem(m_Down(sK5),queue(host(sK8)))
| spl13_320 ),
inference(avatar_component_clause,[],[f3145]) ).
fof(f3774,plain,
( spl13_347
| ~ spl13_171
| ~ spl13_195 ),
inference(avatar_split_clause,[],[f1656,f1600,f1382,f3772]) ).
fof(f3772,plain,
( spl13_347
<=> ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_347])]) ).
fof(f1382,plain,
( spl13_171
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_171])]) ).
fof(f1656,plain,
( ! [X0] :
( elem(head(tail(X0)),X0)
| q_nil = X0
| q_nil = tail(X0) )
| ~ spl13_171
| ~ spl13_195 ),
inference(resolution,[],[f1601,f1383]) ).
fof(f1383,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_171 ),
inference(avatar_component_clause,[],[f1382]) ).
fof(f3770,plain,
( spl13_346
| ~ spl13_170
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1645,f1592,f1378,f3768]) ).
fof(f3768,plain,
( spl13_346
<=> ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_346])]) ).
fof(f1592,plain,
( spl13_193
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_193])]) ).
fof(f1645,plain,
( ! [X0] :
( elem(last(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_170
| ~ spl13_193 ),
inference(resolution,[],[f1593,f1379]) ).
fof(f1593,plain,
( ! [X0,X1] :
( ~ elem(X1,init(X0))
| elem(X1,X0)
| q_nil = X0 )
| ~ spl13_193 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f3766,plain,
( spl13_345
| ~ spl13_171
| ~ spl13_193 ),
inference(avatar_split_clause,[],[f1644,f1592,f1382,f3764]) ).
fof(f3764,plain,
( spl13_345
<=> ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_345])]) ).
fof(f1644,plain,
( ! [X0] :
( elem(head(init(X0)),X0)
| q_nil = X0
| q_nil = init(X0) )
| ~ spl13_171
| ~ spl13_193 ),
inference(resolution,[],[f1593,f1383]) ).
fof(f3762,plain,
( spl13_344
| ~ spl13_94
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1629,f1584,f811,f3760]) ).
fof(f3760,plain,
( spl13_344
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_344])]) ).
fof(f1584,plain,
( spl13_191
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_191])]) ).
fof(f1629,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_94
| ~ spl13_191 ),
inference(resolution,[],[f1585,f812]) ).
fof(f1585,plain,
( ! [X2,X0,X1] :
( ~ leq(X2,X1)
| ~ leq(X0,X2)
| leq(X0,s(X1)) )
| ~ spl13_191 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f3758,plain,
( spl13_343
| ~ spl13_175
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1628,f1584,f1437,f3756]) ).
fof(f3756,plain,
( spl13_343
<=> ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_343])]) ).
fof(f1437,plain,
( spl13_175
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_175])]) ).
fof(f1628,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X1))
| leq(X0,s(s(X2)))
| leq(X2,X1) )
| ~ spl13_175
| ~ spl13_191 ),
inference(resolution,[],[f1585,f1438]) ).
fof(f1438,plain,
( ! [X0,X1] :
( leq(s(X1),s(X0))
| leq(X0,X1) )
| ~ spl13_175 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f3754,plain,
( spl13_342
| ~ spl13_118
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1478,f1437,f988,f3752]) ).
fof(f3752,plain,
( spl13_342
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_342])]) ).
fof(f988,plain,
( spl13_118
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_118])]) ).
fof(f1478,plain,
( ! [X0,X1] :
( leq(X0,X1)
| s(X0) = s(X1)
| leq(s(X1),X0) )
| ~ spl13_118
| ~ spl13_175 ),
inference(resolution,[],[f1438,f989]) ).
fof(f989,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl13_118 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f3385,plain,
( spl13_341
| ~ spl13_63
| ~ spl13_214 ),
inference(avatar_split_clause,[],[f1869,f1838,f657,f3383]) ).
fof(f3383,plain,
( spl13_341
<=> ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_341])]) ).
fof(f657,plain,
( spl13_63
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_63])]) ).
fof(f1838,plain,
( spl13_214
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_214])]) ).
fof(f1869,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0
| pidElem(head(X0)) )
| ~ spl13_63
| ~ spl13_214 ),
inference(resolution,[],[f1839,f658]) ).
fof(f658,plain,
( ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) )
| ~ spl13_63 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f1839,plain,
( ! [X0] :
( ~ sP0(head(X0),tail(X0))
| ordered(X0)
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_214 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f3381,plain,
( spl13_340
| ~ spl13_64
| ~ spl13_213 ),
inference(avatar_split_clause,[],[f1853,f1834,f661,f3379]) ).
fof(f3379,plain,
( spl13_340
<=> ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_340])]) ).
fof(f661,plain,
( spl13_64
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_64])]) ).
fof(f1834,plain,
( spl13_213
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_213])]) ).
fof(f1853,plain,
( ! [X0] :
( ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0
| pidElem(last(X0)) )
| ~ spl13_64
| ~ spl13_213 ),
inference(resolution,[],[f1835,f662]) ).
fof(f662,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) )
| ~ spl13_64 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f1835,plain,
( ! [X0] :
( ~ sP1(last(X0),init(X0))
| ordered(X0)
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_213 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f3377,plain,
( spl13_339
| ~ spl13_94
| ~ spl13_212 ),
inference(avatar_split_clause,[],[f1842,f1830,f811,f3375]) ).
fof(f3375,plain,
( spl13_339
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_339])]) ).
fof(f1830,plain,
( spl13_212
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_212])]) ).
fof(f1842,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(X1,X0)
| ~ leq(X0,X1) )
| ~ spl13_94
| ~ spl13_212 ),
inference(resolution,[],[f1831,f812]) ).
fof(f1831,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| s(X0) = s(X1)
| ~ leq(X1,X0) )
| ~ spl13_212 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f3373,plain,
( spl13_338
| ~ spl13_85
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1823,f1791,f762,f3371]) ).
fof(f3371,plain,
( spl13_338
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_338])]) ).
fof(f762,plain,
( spl13_85
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_85])]) ).
fof(f1823,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_85
| ~ spl13_210 ),
inference(resolution,[],[f1792,f763]) ).
fof(f763,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl13_85 ),
inference(avatar_component_clause,[],[f762]) ).
fof(f3369,plain,
( spl13_337
| ~ spl13_81
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1778,f1718,f745,f3367]) ).
fof(f3367,plain,
( spl13_337
<=> ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_337])]) ).
fof(f1718,plain,
( spl13_207
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_207])]) ).
fof(f1778,plain,
( ! [X0,X1] :
( ordered(cons(X1,cons(m_Ldr(X0),q_nil)))
| ~ ordered(cons(X1,q_nil)) )
| ~ spl13_81
| ~ spl13_207 ),
inference(superposition,[],[f1719,f746]) ).
fof(f1719,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_207 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f3365,plain,
( spl13_336
| ~ spl13_81
| ~ spl13_206 ),
inference(avatar_split_clause,[],[f1769,f1714,f745,f3363]) ).
fof(f3363,plain,
( spl13_336
<=> ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_336])]) ).
fof(f1714,plain,
( spl13_206
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_206])]) ).
fof(f1769,plain,
( ! [X0,X1] :
( ~ ordered(cons(X1,cons(X0,q_nil)))
| sP1(X0,cons(X1,q_nil)) )
| ~ spl13_81
| ~ spl13_206 ),
inference(superposition,[],[f1715,f746]) ).
fof(f1715,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_206 ),
inference(avatar_component_clause,[],[f1714]) ).
fof(f3361,plain,
( spl13_335
| ~ spl13_94
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1736,f1690,f811,f3359]) ).
fof(f3359,plain,
( spl13_335
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_335])]) ).
fof(f1690,plain,
( spl13_200
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_200])]) ).
fof(f1736,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| ~ leq(X0,X2) )
| ~ spl13_94
| ~ spl13_200 ),
inference(resolution,[],[f1691,f812]) ).
fof(f1691,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,s(X2))
| leq(X0,s(X1))
| ~ leq(X2,X1) )
| ~ spl13_200 ),
inference(avatar_component_clause,[],[f1690]) ).
fof(f3357,plain,
( spl13_334
| ~ spl13_175
| ~ spl13_200 ),
inference(avatar_split_clause,[],[f1735,f1690,f1437,f3355]) ).
fof(f3355,plain,
( spl13_334
<=> ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_334])]) ).
fof(f1735,plain,
( ! [X2,X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X2,X1)
| leq(X2,X0) )
| ~ spl13_175
| ~ spl13_200 ),
inference(resolution,[],[f1691,f1438]) ).
fof(f3353,plain,
( spl13_333
| ~ spl13_47
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1667,f1604,f591,f3351]) ).
fof(f3351,plain,
( spl13_333
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_333])]) ).
fof(f1604,plain,
( spl13_196
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_196])]) ).
fof(f1667,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Down(X0),X1)))
| sP1(m_Down(X0),X1) )
| ~ spl13_47
| ~ spl13_196 ),
inference(superposition,[],[f1605,f592]) ).
fof(f1605,plain,
( ! [X0,X1] :
( leq(pidMsg(X0),pidMsg(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_196 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f3341,plain,
( ~ spl13_4
| ~ spl13_129
| spl13_315 ),
inference(avatar_split_clause,[],[f3248,f2946,f1093,f355]) ).
fof(f355,plain,
( spl13_4
<=> elem(m_Down(sK6),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_4])]) ).
fof(f2946,plain,
( spl13_315
<=> elem(m_Down(sK6),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_315])]) ).
fof(f3248,plain,
( ~ elem(m_Down(sK6),sK2)
| ~ spl13_129
| spl13_315 ),
inference(resolution,[],[f2948,f1094]) ).
fof(f2948,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| spl13_315 ),
inference(avatar_component_clause,[],[f2946]) ).
fof(f3340,plain,
( spl13_332
| ~ spl13_46
| ~ spl13_196 ),
inference(avatar_split_clause,[],[f1666,f1604,f587,f3338]) ).
fof(f3338,plain,
( spl13_332
<=> ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_332])]) ).
fof(f1666,plain,
( ! [X0,X1] :
( leq(X0,pidMsg(sK12(m_Halt(X0),X1)))
| sP1(m_Halt(X0),X1) )
| ~ spl13_46
| ~ spl13_196 ),
inference(superposition,[],[f1605,f588]) ).
fof(f3336,plain,
( spl13_331
| ~ spl13_88
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1624,f1584,f774,f3334]) ).
fof(f3334,plain,
( spl13_331
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_331])]) ).
fof(f774,plain,
( spl13_88
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_88])]) ).
fof(f1624,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X2)))
| ~ leq(X1,X2) )
| ~ spl13_88
| ~ spl13_191 ),
inference(resolution,[],[f1585,f775]) ).
fof(f775,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl13_88 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f3332,plain,
( spl13_330
| ~ spl13_94
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1572,f1561,f811,f3330]) ).
fof(f3330,plain,
( spl13_330
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_330])]) ).
fof(f1561,plain,
( spl13_188
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_188])]) ).
fof(f1572,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_94
| ~ spl13_188 ),
inference(resolution,[],[f1562,f812]) ).
fof(f1562,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X2)
| leq(X0,X1)
| leq(X1,X2) )
| ~ spl13_188 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f3328,plain,
( spl13_329
| ~ spl13_175
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1571,f1561,f1437,f3326]) ).
fof(f3326,plain,
( spl13_329
<=> ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_329])]) ).
fof(f1571,plain,
( ! [X2,X0,X1] :
( leq(s(X0),X1)
| leq(X1,s(X2))
| leq(X2,X0) )
| ~ spl13_175
| ~ spl13_188 ),
inference(resolution,[],[f1562,f1438]) ).
fof(f3324,plain,
( spl13_328
| ~ spl13_108
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1480,f1437,f894,f3322]) ).
fof(f3322,plain,
( spl13_328
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_328])]) ).
fof(f894,plain,
( spl13_108
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_108])]) ).
fof(f1480,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X2,s(X0))
| ~ leq(X2,s(X1)) )
| ~ spl13_108
| ~ spl13_175 ),
inference(resolution,[],[f1438,f895]) ).
fof(f895,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl13_108 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f3176,plain,
( spl13_327
| ~ spl13_68
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1916,f1881,f683,f3174]) ).
fof(f3174,plain,
( spl13_327
<=> ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_327])]) ).
fof(f683,plain,
( spl13_68
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_68])]) ).
fof(f1916,plain,
( ! [X0,X1] :
( head(X0) = head(snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_68
| ~ spl13_215 ),
inference(superposition,[],[f684,f1882]) ).
fof(f684,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl13_68 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f3172,plain,
( spl13_326
| ~ spl13_73
| ~ spl13_210 ),
inference(avatar_split_clause,[],[f1824,f1791,f703,f3170]) ).
fof(f3170,plain,
( spl13_326
<=> ! [X0,X3,X2,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_326])]) ).
fof(f1824,plain,
( ! [X2,X3,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ack(X2,X3))) )
| ~ spl13_73
| ~ spl13_210 ),
inference(resolution,[],[f1792,f704]) ).
fof(f3168,plain,
( spl13_325
| ~ spl13_85
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1776,f1718,f762,f3166]) ).
fof(f3166,plain,
( spl13_325
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_325])]) ).
fof(f1776,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,snoc(X1,m_Ldr(X2))) )
| ~ spl13_85
| ~ spl13_207 ),
inference(resolution,[],[f1719,f763]) ).
fof(f3164,plain,
( spl13_324
| ~ spl13_81
| ~ spl13_197 ),
inference(avatar_split_clause,[],[f1668,f1608,f745,f3162]) ).
fof(f3162,plain,
( spl13_324
<=> ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_324])]) ).
fof(f1668,plain,
( ! [X0,X1] : cons(X1,q_nil) = init(cons(X1,cons(X0,q_nil)))
| ~ spl13_81
| ~ spl13_197 ),
inference(superposition,[],[f1609,f746]) ).
fof(f3160,plain,
( spl13_323
| ~ spl13_72
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1622,f1584,f699,f3158]) ).
fof(f3158,plain,
( spl13_323
<=> ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_323])]) ).
fof(f699,plain,
( spl13_72
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_72])]) ).
fof(f1622,plain,
( ! [X2,X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(X2))
| leq(X2,X1) )
| ~ spl13_72
| ~ spl13_191 ),
inference(resolution,[],[f1585,f700]) ).
fof(f700,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl13_72 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f3156,plain,
( spl13_322
| ~ spl13_88
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1567,f1561,f774,f3154]) ).
fof(f3154,plain,
( spl13_322
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_322])]) ).
fof(f1567,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,s(X2))
| ~ leq(X0,X2) )
| ~ spl13_88
| ~ spl13_188 ),
inference(resolution,[],[f1562,f775]) ).
fof(f3152,plain,
( spl13_321
| ~ spl13_119
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1500,f1471,f992,f3150]) ).
fof(f3150,plain,
( spl13_321
<=> ! [X2,X0,X1,X3] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_321])]) ).
fof(f992,plain,
( spl13_119
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_119])]) ).
fof(f1471,plain,
( spl13_182
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_182])]) ).
fof(f1500,plain,
( ! [X2,X3,X0,X1] : last(cons(X3,cons(X0,snoc(X1,X2)))) = X2
| ~ spl13_119
| ~ spl13_182 ),
inference(superposition,[],[f1472,f993]) ).
fof(f993,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl13_119 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f1472,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_182 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f3148,plain,
( ~ spl13_320
| ~ spl13_5
| ~ spl13_295 ),
inference(avatar_split_clause,[],[f2725,f2715,f360,f3145]) ).
fof(f360,plain,
( spl13_5
<=> host(sK5) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_5])]) ).
fof(f2715,plain,
( spl13_295
<=> ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_295])]) ).
fof(f2725,plain,
( ~ elem(m_Down(sK5),queue(host(sK8)))
| ~ spl13_5
| ~ spl13_295 ),
inference(trivial_inequality_removal,[],[f2721]) ).
fof(f2721,plain,
( host(sK6) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(sK8)))
| ~ spl13_5
| ~ spl13_295 ),
inference(superposition,[],[f2716,f362]) ).
fof(f362,plain,
( host(sK5) = host(sK6)
| ~ spl13_5 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f2716,plain,
( ! [X1] :
( host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) )
| ~ spl13_295 ),
inference(avatar_component_clause,[],[f2715]) ).
fof(f3143,plain,
( spl13_319
| ~ spl13_109
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1499,f1471,f920,f3141]) ).
fof(f3141,plain,
( spl13_319
<=> ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_319])]) ).
fof(f1499,plain,
( ! [X0,X1] :
( last(X0) = last(cons(X1,X0))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_182 ),
inference(superposition,[],[f1472,f921]) ).
fof(f2961,plain,
( spl13_318
| ~ spl13_66
| ~ spl13_215 ),
inference(avatar_split_clause,[],[f1915,f1881,f669,f2959]) ).
fof(f2959,plain,
( spl13_318
<=> ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_318])]) ).
fof(f669,plain,
( spl13_66
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_66])]) ).
fof(f1915,plain,
( ! [X0,X1] :
( elem(head(X0),snoc(X0,X1))
| q_nil = X0 )
| ~ spl13_66
| ~ spl13_215 ),
inference(superposition,[],[f670,f1882]) ).
fof(f670,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl13_66 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f2957,plain,
( spl13_317
| ~ spl13_73
| ~ spl13_207 ),
inference(avatar_split_clause,[],[f1777,f1718,f703,f2955]) ).
fof(f2955,plain,
( spl13_317
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_317])]) ).
fof(f1777,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(snoc(X1,m_Ldr(X2))) )
| ~ spl13_73
| ~ spl13_207 ),
inference(resolution,[],[f1719,f704]) ).
fof(f2953,plain,
( spl13_316
| ~ spl13_48
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1627,f1584,f595,f2951]) ).
fof(f2951,plain,
( spl13_316
<=> ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_316])]) ).
fof(f595,plain,
( spl13_48
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_48])]) ).
fof(f1627,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,s(host(X1))) )
| ~ spl13_48
| ~ spl13_191 ),
inference(resolution,[],[f1585,f596]) ).
fof(f596,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl13_48 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f2949,plain,
( ~ spl13_315
| ~ spl13_295 ),
inference(avatar_split_clause,[],[f2724,f2715,f2946]) ).
fof(f2724,plain,
( ~ elem(m_Down(sK6),queue(host(sK8)))
| ~ spl13_295 ),
inference(equality_resolution,[],[f2716]) ).
fof(f2944,plain,
( spl13_314
| ~ spl13_72
| ~ spl13_188 ),
inference(avatar_split_clause,[],[f1565,f1561,f699,f2942]) ).
fof(f2942,plain,
( spl13_314
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_314])]) ).
fof(f1565,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| leq(X1,X2)
| leq(X2,X0) )
| ~ spl13_72
| ~ spl13_188 ),
inference(resolution,[],[f1562,f700]) ).
fof(f2940,plain,
( spl13_313
| ~ spl13_119
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1434,f1386,f992,f2938]) ).
fof(f2938,plain,
( spl13_313
<=> ! [X0,X3,X2,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_313])]) ).
fof(f1386,plain,
( spl13_172
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_172])]) ).
fof(f1434,plain,
( ! [X2,X3,X0,X1] : elem(X2,cons(X3,cons(X0,snoc(X1,X2))))
| ~ spl13_119
| ~ spl13_172 ),
inference(superposition,[],[f1387,f993]) ).
fof(f1387,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_172 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f2936,plain,
( spl13_312
| ~ spl13_109
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1433,f1386,f920,f2934]) ).
fof(f2934,plain,
( spl13_312
<=> ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_312])]) ).
fof(f1433,plain,
( ! [X0,X1] :
( elem(last(X0),cons(X1,X0))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_172 ),
inference(superposition,[],[f1387,f921]) ).
fof(f2932,plain,
( spl13_311
| ~ spl13_144
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2082,f2028,f1180,f2930]) ).
fof(f2930,plain,
( spl13_311
<=> ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Down(sK4) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_311])]) ).
fof(f1180,plain,
( spl13_144
<=> ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Down(sK4) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_144])]) ).
fof(f2028,plain,
( spl13_226
<=> ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_226])]) ).
fof(f2082,plain,
( ! [X0,X1] :
( sK12(X0,cons(X1,queue(host(sK8)))) = X1
| sP1(X0,cons(X1,queue(host(sK8))))
| m_Down(sK4) = sK12(X0,cons(X1,queue(host(sK8))))
| elem(sK12(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl13_144
| ~ spl13_226 ),
inference(resolution,[],[f2029,f1181]) ).
fof(f1181,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl13_144 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f2029,plain,
( ! [X2,X0,X1] :
( elem(sK12(X0,cons(X1,X2)),X2)
| sK12(X0,cons(X1,X2)) = X1
| sP1(X0,cons(X1,X2)) )
| ~ spl13_226 ),
inference(avatar_component_clause,[],[f2028]) ).
fof(f2928,plain,
( spl13_310
| ~ spl13_144
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2071,f2024,f1180,f2926]) ).
fof(f2926,plain,
( spl13_310
<=> ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Down(sK4) = sK11(X0,cons(X1,queue(host(sK8))))
| elem(sK11(X0,cons(X1,queue(host(sK8)))),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_310])]) ).
fof(f2024,plain,
( spl13_225
<=> ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_225])]) ).
fof(f2071,plain,
( ! [X0,X1] :
( sK11(X0,cons(X1,queue(host(sK8)))) = X1
| sP0(X0,cons(X1,queue(host(sK8))))
| m_Down(sK4) = sK11(X0,cons(X1,queue(host(sK8))))
| elem(sK11(X0,cons(X1,queue(host(sK8)))),sK2) )
| ~ spl13_144
| ~ spl13_225 ),
inference(resolution,[],[f2025,f1181]) ).
fof(f2025,plain,
( ! [X2,X0,X1] :
( elem(sK11(X0,cons(X1,X2)),X2)
| sK11(X0,cons(X1,X2)) = X1
| sP0(X0,cons(X1,X2)) )
| ~ spl13_225 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2924,plain,
( spl13_309
| ~ spl13_144
| ~ spl13_224 ),
inference(avatar_split_clause,[],[f2051,f2020,f1180,f2922]) ).
fof(f2922,plain,
( spl13_309
<=> ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Down(sK4) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_309])]) ).
fof(f2051,plain,
( ! [X0,X1] :
( sK12(X0,snoc(queue(host(sK8)),X1)) = X1
| sP1(X0,snoc(queue(host(sK8)),X1))
| m_Down(sK4) = sK12(X0,snoc(queue(host(sK8)),X1))
| elem(sK12(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl13_144
| ~ spl13_224 ),
inference(resolution,[],[f2021,f1181]) ).
fof(f2920,plain,
( spl13_308
| ~ spl13_144
| ~ spl13_223 ),
inference(avatar_split_clause,[],[f2031,f2016,f1180,f2918]) ).
fof(f2918,plain,
( spl13_308
<=> ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Down(sK4) = sK11(X0,snoc(queue(host(sK8)),X1))
| elem(sK11(X0,snoc(queue(host(sK8)),X1)),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_308])]) ).
fof(f2031,plain,
( ! [X0,X1] :
( sK11(X0,snoc(queue(host(sK8)),X1)) = X1
| sP0(X0,snoc(queue(host(sK8)),X1))
| m_Down(sK4) = sK11(X0,snoc(queue(host(sK8)),X1))
| elem(sK11(X0,snoc(queue(host(sK8)),X1)),sK2) )
| ~ spl13_144
| ~ spl13_223 ),
inference(resolution,[],[f2017,f1181]) ).
fof(f2910,plain,
( spl13_307
| ~ spl13_8
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1541,f1528,f375,f2908]) ).
fof(f2908,plain,
( spl13_307
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK3),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_307])]) ).
fof(f375,plain,
( spl13_8
<=> host(sK3) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_8])]) ).
fof(f1528,plain,
( spl13_185
<=> ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_185])]) ).
fof(f1541,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK3),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_8
| ~ spl13_185 ),
inference(superposition,[],[f1529,f377]) ).
fof(f377,plain,
( host(sK3) = host(sK8)
| ~ spl13_8 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f1529,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_185 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f2906,plain,
( spl13_306
| ~ spl13_6
| ~ spl13_185 ),
inference(avatar_split_clause,[],[f1540,f1528,f365,f2904]) ).
fof(f2904,plain,
( spl13_306
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_306])]) ).
fof(f365,plain,
( spl13_6
<=> host(sK7) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_6])]) ).
fof(f1540,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK5),queue(host(X0)))
| ~ elem(m_Down(sK7),queue(host(X1)))
| host(X1) != host(sK6)
| ~ setIn(X1,alive)
| ~ setIn(X0,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_185 ),
inference(superposition,[],[f1529,f367]) ).
fof(f367,plain,
( host(sK7) = host(sK8)
| ~ spl13_6 ),
inference(avatar_component_clause,[],[f365]) ).
fof(f2762,plain,
( spl13_305
| ~ spl13_44
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1630,f1584,f576,f2760]) ).
fof(f2760,plain,
( spl13_305
<=> ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_305])]) ).
fof(f576,plain,
( spl13_44
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_44])]) ).
fof(f1630,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,s(nbr_proc)) )
| ~ spl13_44
| ~ spl13_191 ),
inference(resolution,[],[f1585,f577]) ).
fof(f577,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl13_44 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f2758,plain,
( spl13_304
| ~ spl13_41
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1626,f1584,f562,f2756]) ).
fof(f2756,plain,
( spl13_304
<=> ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_304])]) ).
fof(f562,plain,
( spl13_41
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_41])]) ).
fof(f1626,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,s(nbr_proc)) )
| ~ spl13_41
| ~ spl13_191 ),
inference(resolution,[],[f1585,f564]) ).
fof(f564,plain,
( leq(s(zero),nbr_proc)
| ~ spl13_41 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f2754,plain,
( spl13_303
| ~ spl13_154
| ~ spl13_191 ),
inference(avatar_split_clause,[],[f1625,f1584,f1266,f2752]) ).
fof(f2752,plain,
( spl13_303
<=> ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_303])]) ).
fof(f1266,plain,
( spl13_154
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_154])]) ).
fof(f1625,plain,
( ! [X0,X1] :
( ~ leq(X0,X1)
| leq(X0,s(s(X1))) )
| ~ spl13_154
| ~ spl13_191 ),
inference(resolution,[],[f1585,f1267]) ).
fof(f1267,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_154 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f2750,plain,
( spl13_302
| ~ spl13_81
| ~ spl13_182 ),
inference(avatar_split_clause,[],[f1498,f1471,f745,f2748]) ).
fof(f2748,plain,
( spl13_302
<=> ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_302])]) ).
fof(f1498,plain,
( ! [X0,X1] : last(cons(X1,cons(X0,q_nil))) = X0
| ~ spl13_81
| ~ spl13_182 ),
inference(superposition,[],[f1472,f746]) ).
fof(f2746,plain,
( spl13_301
| ~ spl13_94
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1493,f1457,f811,f2744]) ).
fof(f2744,plain,
( spl13_301
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_301])]) ).
fof(f1457,plain,
( spl13_179
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_179])]) ).
fof(f1493,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| ~ leq(X0,zero) )
| ~ spl13_94
| ~ spl13_179 ),
inference(resolution,[],[f1458,f812]) ).
fof(f1458,plain,
( ! [X0,X1] :
( ~ leq(X0,s(zero))
| leq(X0,host(X1)) )
| ~ spl13_179 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f2742,plain,
( spl13_300
| ~ spl13_175
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1492,f1457,f1437,f2740]) ).
fof(f2740,plain,
( spl13_300
<=> ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_300])]) ).
fof(f1492,plain,
( ! [X0,X1] :
( leq(s(X0),host(X1))
| leq(zero,X0) )
| ~ spl13_175
| ~ spl13_179 ),
inference(resolution,[],[f1458,f1438]) ).
fof(f2738,plain,
( spl13_299
| ~ spl13_72
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1490,f1457,f699,f2736]) ).
fof(f2736,plain,
( spl13_299
<=> ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_299])]) ).
fof(f1490,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| leq(s(zero),X0) )
| ~ spl13_72
| ~ spl13_179 ),
inference(resolution,[],[f1458,f700]) ).
fof(f2734,plain,
( spl13_298
| ~ spl13_88
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1395,f1362,f774,f2732]) ).
fof(f2732,plain,
( spl13_298
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_298])]) ).
fof(f1362,plain,
( spl13_166
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_166])]) ).
fof(f1395,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(s(X0),X1) )
| ~ spl13_88
| ~ spl13_166 ),
inference(resolution,[],[f1363,f775]) ).
fof(f1363,plain,
( ! [X0,X1] :
( ~ leq(s(X0),X1)
| leq(X0,X1) )
| ~ spl13_166 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f2730,plain,
( ~ spl13_297
| spl13_10
| ~ spl13_291 ),
inference(avatar_split_clause,[],[f2686,f2602,f385,f2727]) ).
fof(f2727,plain,
( spl13_297
<=> leq(host(sK8),zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_297])]) ).
fof(f385,plain,
( spl13_10
<=> leq(host(sK8),host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_10])]) ).
fof(f2602,plain,
( spl13_291
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_291])]) ).
fof(f2686,plain,
( ~ leq(host(sK8),zero)
| spl13_10
| ~ spl13_291 ),
inference(resolution,[],[f2603,f387]) ).
fof(f387,plain,
( ~ leq(host(sK8),host(sK4))
| spl13_10 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f2603,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl13_291 ),
inference(avatar_component_clause,[],[f2602]) ).
fof(f2720,plain,
( spl13_295
| ~ spl13_3
| spl13_7
| spl13_296
| ~ spl13_6
| ~ spl13_183 ),
inference(avatar_split_clause,[],[f1513,f1506,f365,f2718,f370,f350,f2715]) ).
fof(f350,plain,
( spl13_3
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_3])]) ).
fof(f370,plain,
( spl13_7
<=> host(sK6) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_7])]) ).
fof(f1506,plain,
( spl13_183
<=> ! [X2,X0,X1] :
( host(X0) != host(sK6)
| host(X1) = host(sK6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_183])]) ).
fof(f1513,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(sK6) = host(sK8)
| ~ setIn(sK7,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(sK8))) )
| ~ spl13_6
| ~ spl13_183 ),
inference(superposition,[],[f1507,f367]) ).
fof(f1507,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| host(X1) = host(sK6)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1))) )
| ~ spl13_183 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f2712,plain,
( ~ spl13_294
| spl13_293
| ~ spl13_8
| ~ spl13_183 ),
inference(avatar_split_clause,[],[f1511,f1506,f375,f2705,f2709]) ).
fof(f2709,plain,
( spl13_294
<=> elem(m_Down(sK3),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_294])]) ).
fof(f2705,plain,
( spl13_293
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X0) = host(sK6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_293])]) ).
fof(f1511,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X0) = host(sK6)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK3),queue(host(sK6)))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_8
| ~ spl13_183 ),
inference(superposition,[],[f1507,f377]) ).
fof(f2707,plain,
( ~ spl13_292
| spl13_293
| ~ spl13_6
| ~ spl13_183 ),
inference(avatar_split_clause,[],[f1510,f1506,f365,f2705,f2701]) ).
fof(f2701,plain,
( spl13_292
<=> elem(m_Down(sK7),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_292])]) ).
fof(f1510,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| host(X0) = host(sK6)
| ~ setIn(X0,alive)
| ~ elem(m_Down(sK7),queue(host(sK6)))
| host(X1) != host(sK6)
| ~ elem(m_Down(X1),queue(host(X0))) )
| ~ spl13_6
| ~ spl13_183 ),
inference(superposition,[],[f1507,f367]) ).
fof(f2604,plain,
( spl13_291
| ~ spl13_88
| ~ spl13_179 ),
inference(avatar_split_clause,[],[f1487,f1457,f774,f2602]) ).
fof(f1487,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,zero) )
| ~ spl13_88
| ~ spl13_179 ),
inference(resolution,[],[f1458,f775]) ).
fof(f2600,plain,
( spl13_290
| ~ spl13_168
| ~ spl13_175 ),
inference(avatar_split_clause,[],[f1479,f1437,f1370,f2598]) ).
fof(f2598,plain,
( spl13_290
<=> ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_290])]) ).
fof(f1370,plain,
( spl13_168
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_168])]) ).
fof(f1479,plain,
( ! [X0] :
( leq(zero,X0)
| leq(s(X0),nbr_proc) )
| ~ spl13_168
| ~ spl13_175 ),
inference(resolution,[],[f1438,f1371]) ).
fof(f1371,plain,
( ! [X0] :
( ~ leq(X0,s(zero))
| leq(X0,nbr_proc) )
| ~ spl13_168 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f2596,plain,
( spl13_289
| ~ spl13_81
| ~ spl13_172 ),
inference(avatar_split_clause,[],[f1432,f1386,f745,f2594]) ).
fof(f2594,plain,
( spl13_289
<=> ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_289])]) ).
fof(f1432,plain,
( ! [X0,X1] : elem(X0,cons(X1,cons(X0,q_nil)))
| ~ spl13_81
| ~ spl13_172 ),
inference(superposition,[],[f1387,f746]) ).
fof(f2592,plain,
( spl13_288
| ~ spl13_72
| ~ spl13_169 ),
inference(avatar_split_clause,[],[f1404,f1374,f699,f2590]) ).
fof(f2590,plain,
( spl13_288
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_288])]) ).
fof(f1374,plain,
( spl13_169
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_169])]) ).
fof(f1404,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| leq(host(X1),X0) )
| ~ spl13_72
| ~ spl13_169 ),
inference(resolution,[],[f1375,f700]) ).
fof(f1375,plain,
( ! [X0,X1] :
( ~ leq(X0,host(X1))
| leq(X0,nbr_proc) )
| ~ spl13_169 ),
inference(avatar_component_clause,[],[f1374]) ).
fof(f2588,plain,
( spl13_287
| ~ spl13_94
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1402,f1370,f811,f2586]) ).
fof(f2586,plain,
( spl13_287
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_287])]) ).
fof(f1402,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_94
| ~ spl13_168 ),
inference(resolution,[],[f1371,f812]) ).
fof(f2584,plain,
( spl13_286
| ~ spl13_72
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1400,f1370,f699,f2582]) ).
fof(f2582,plain,
( spl13_286
<=> ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_286])]) ).
fof(f1400,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| leq(s(zero),X0) )
| ~ spl13_72
| ~ spl13_168 ),
inference(resolution,[],[f1371,f700]) ).
fof(f2580,plain,
( spl13_285
| ~ spl13_72
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1393,f1362,f699,f2578]) ).
fof(f2578,plain,
( spl13_285
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_285])]) ).
fof(f1393,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(X1,s(X0)) )
| ~ spl13_72
| ~ spl13_166 ),
inference(resolution,[],[f1363,f700]) ).
fof(f2575,plain,
( spl13_284
| ~ spl13_31
| ~ spl13_250 ),
inference(avatar_split_clause,[],[f2269,f2258,f502,f2573]) ).
fof(f2573,plain,
( spl13_284
<=> ! [X0] : ~ elem(m_Ack(X0,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_284])]) ).
fof(f502,plain,
( spl13_31
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_31])]) ).
fof(f2258,plain,
( spl13_250
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_250])]) ).
fof(f2269,plain,
( ! [X0] : ~ elem(m_Ack(X0,X0),sK2)
| ~ spl13_31
| ~ spl13_250 ),
inference(resolution,[],[f2259,f503]) ).
fof(f503,plain,
( ! [X0] : leq(X0,X0)
| ~ spl13_31 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f2259,plain,
( ! [X0,X1] :
( ~ leq(host(X1),host(X0))
| ~ elem(m_Ack(X0,X1),sK2) )
| ~ spl13_250 ),
inference(avatar_component_clause,[],[f2258]) ).
fof(f2570,plain,
( spl13_283
| ~ spl13_143
| ~ spl13_226 ),
inference(avatar_split_clause,[],[f2090,f2028,f1176,f2568]) ).
fof(f2568,plain,
( spl13_283
<=> ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK12(X1,snoc(queue(host(sK8)),X0))
| sP1(X1,snoc(queue(host(sK8)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_283])]) ).
fof(f1176,plain,
( spl13_143
<=> ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_143])]) ).
fof(f2090,plain,
( ! [X0,X1] :
( elem(sK12(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK12(X1,snoc(queue(host(sK8)),X0))
| sP1(X1,snoc(queue(host(sK8)),X0)) )
| ~ spl13_143
| ~ spl13_226 ),
inference(superposition,[],[f2029,f1177]) ).
fof(f1177,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl13_143 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f2566,plain,
( spl13_282
| ~ spl13_143
| ~ spl13_225 ),
inference(avatar_split_clause,[],[f2079,f2024,f1176,f2564]) ).
fof(f2564,plain,
( spl13_282
<=> ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK11(X1,snoc(queue(host(sK8)),X0))
| sP0(X1,snoc(queue(host(sK8)),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_282])]) ).
fof(f2079,plain,
( ! [X0,X1] :
( elem(sK11(X1,snoc(queue(host(sK8)),X0)),snoc(sK2,X0))
| m_Down(sK4) = sK11(X1,snoc(queue(host(sK8)),X0))
| sP0(X1,snoc(queue(host(sK8)),X0)) )
| ~ spl13_143
| ~ spl13_225 ),
inference(superposition,[],[f2025,f1177]) ).
fof(f2550,plain,
( spl13_281
| ~ spl13_88
| ~ spl13_168 ),
inference(avatar_split_clause,[],[f1397,f1370,f774,f2548]) ).
fof(f2548,plain,
( spl13_281
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_281])]) ).
fof(f1397,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,zero) )
| ~ spl13_88
| ~ spl13_168 ),
inference(resolution,[],[f1371,f775]) ).
fof(f2546,plain,
( spl13_280
| ~ spl13_88
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1344,f1338,f774,f2544]) ).
fof(f2544,plain,
( spl13_280
<=> ! [X0] : ~ leq(s(s(s(X0))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_280])]) ).
fof(f1338,plain,
( spl13_162
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_162])]) ).
fof(f1344,plain,
( ! [X0] : ~ leq(s(s(s(X0))),X0)
| ~ spl13_88
| ~ spl13_162 ),
inference(resolution,[],[f1339,f775]) ).
fof(f1339,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_162 ),
inference(avatar_component_clause,[],[f1338]) ).
fof(f2532,plain,
( spl13_279
| ~ spl13_72
| ~ spl13_162 ),
inference(avatar_split_clause,[],[f1342,f1338,f699,f2530]) ).
fof(f2530,plain,
( spl13_279
<=> ! [X0] : leq(X0,s(s(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_279])]) ).
fof(f1342,plain,
( ! [X0] : leq(X0,s(s(X0)))
| ~ spl13_72
| ~ spl13_162 ),
inference(resolution,[],[f1339,f700]) ).
fof(f2528,plain,
( ~ spl13_278
| spl13_9
| ~ spl13_240 ),
inference(avatar_split_clause,[],[f2189,f2183,f380,f2525]) ).
fof(f2525,plain,
( spl13_278
<=> host(sK7) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_278])]) ).
fof(f380,plain,
( spl13_9
<=> host(sK3) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_9])]) ).
fof(f2183,plain,
( spl13_240
<=> sK3 = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_240])]) ).
fof(f2189,plain,
( host(sK7) != host(sK6)
| spl13_9
| ~ spl13_240 ),
inference(superposition,[],[f382,f2185]) ).
fof(f2185,plain,
( sK3 = sK7
| ~ spl13_240 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f382,plain,
( host(sK3) != host(sK6)
| spl13_9 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f2523,plain,
( spl13_277
| ~ spl13_98
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1196,f1180,f828,f2521]) ).
fof(f2521,plain,
( spl13_277
<=> ! [X0] :
( m_Down(sK4) = sK12(X0,queue(host(sK8)))
| elem(sK12(X0,queue(host(sK8))),sK2)
| sP1(X0,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_277])]) ).
fof(f828,plain,
( spl13_98
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_98])]) ).
fof(f1196,plain,
( ! [X0] :
( m_Down(sK4) = sK12(X0,queue(host(sK8)))
| elem(sK12(X0,queue(host(sK8))),sK2)
| sP1(X0,queue(host(sK8))) )
| ~ spl13_98
| ~ spl13_144 ),
inference(resolution,[],[f1181,f829]) ).
fof(f829,plain,
( ! [X0,X1] :
( elem(sK12(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl13_98 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f2519,plain,
( spl13_276
| ~ spl13_96
| ~ spl13_144 ),
inference(avatar_split_clause,[],[f1195,f1180,f819,f2517]) ).
fof(f2517,plain,
( spl13_276
<=> ! [X0] :
( m_Down(sK4) = sK11(X0,queue(host(sK8)))
| elem(sK11(X0,queue(host(sK8))),sK2)
| sP0(X0,queue(host(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_276])]) ).
fof(f819,plain,
( spl13_96
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_96])]) ).
fof(f1195,plain,
( ! [X0] :
( m_Down(sK4) = sK11(X0,queue(host(sK8)))
| elem(sK11(X0,queue(host(sK8))),sK2)
| sP0(X0,queue(host(sK8))) )
| ~ spl13_96
| ~ spl13_144 ),
inference(resolution,[],[f1181,f820]) ).
fof(f820,plain,
( ! [X0,X1] :
( elem(sK11(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl13_96 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f2501,plain,
( spl13_275
| ~ spl13_15
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f1959,f1899,f412,f2499]) ).
fof(f2499,plain,
( spl13_275
<=> ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_275])]) ).
fof(f412,plain,
( spl13_15
<=> ! [X24,X23] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_15])]) ).
fof(f1959,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(sK10(m_Down(X0)),alive)
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_15
| ~ spl13_219 ),
inference(superposition,[],[f413,f1900]) ).
fof(f413,plain,
( ! [X24,X23] :
( ~ elem(m_Down(X24),queue(host(X23)))
| ~ setIn(X24,alive) )
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f2497,plain,
( spl13_274
| ~ spl13_15
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1943,f1895,f412,f2495]) ).
fof(f2495,plain,
( spl13_274
<=> ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_274])]) ).
fof(f1943,plain,
( ! [X0,X1] :
( ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(sK10(m_Halt(X0)),alive)
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_15
| ~ spl13_218 ),
inference(superposition,[],[f413,f1896]) ).
fof(f2493,plain,
( spl13_272
| spl13_273
| spl13_67
| ~ spl13_144
| ~ spl13_170 ),
inference(avatar_split_clause,[],[f1410,f1378,f1180,f677,f2490,f2486]) ).
fof(f2486,plain,
( spl13_272
<=> elem(last(queue(host(sK8))),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_272])]) ).
fof(f2490,plain,
( spl13_273
<=> m_Down(sK4) = last(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_273])]) ).
fof(f677,plain,
( spl13_67
<=> q_nil = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_67])]) ).
fof(f1410,plain,
( q_nil = queue(host(sK8))
| m_Down(sK4) = last(queue(host(sK8)))
| elem(last(queue(host(sK8))),sK2)
| ~ spl13_144
| ~ spl13_170 ),
inference(resolution,[],[f1379,f1181]) ).
fof(f2476,plain,
( spl13_271
| ~ spl13_48
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1390,f1362,f595,f2474]) ).
fof(f2474,plain,
( spl13_271
<=> ! [X0] : leq(zero,host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_271])]) ).
fof(f1390,plain,
( ! [X0] : leq(zero,host(X0))
| ~ spl13_48
| ~ spl13_166 ),
inference(resolution,[],[f1363,f596]) ).
fof(f2423,plain,
( spl13_270
| ~ spl13_121
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1192,f1176,f1000,f2421]) ).
fof(f2421,plain,
( spl13_270
<=> ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK8)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_270])]) ).
fof(f1000,plain,
( spl13_121
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_121])]) ).
fof(f1192,plain,
( ! [X0,X1] :
( ~ elem(X1,snoc(queue(host(sK8)),X0))
| m_Down(sK4) = X1
| elem(X1,snoc(sK2,X0)) )
| ~ spl13_121
| ~ spl13_143 ),
inference(superposition,[],[f1001,f1177]) ).
fof(f1001,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_121 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f2419,plain,
( spl13_269
| ~ spl13_119
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1191,f1176,f992,f2417]) ).
fof(f2417,plain,
( spl13_269
<=> ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK8)),X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_269])]) ).
fof(f1191,plain,
( ! [X0,X1] : cons(m_Down(sK4),snoc(snoc(sK2,X0),X1)) = snoc(snoc(queue(host(sK8)),X0),X1)
| ~ spl13_119
| ~ spl13_143 ),
inference(superposition,[],[f993,f1177]) ).
fof(f2415,plain,
( spl13_268
| ~ spl13_103
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1190,f1176,f873,f2413]) ).
fof(f2413,plain,
( spl13_268
<=> ! [X0] :
( ordered(snoc(queue(host(sK8)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_268])]) ).
fof(f873,plain,
( spl13_103
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_103])]) ).
fof(f1190,plain,
( ! [X0] :
( ordered(snoc(queue(host(sK8)),X0))
| ~ sP0(m_Down(sK4),snoc(sK2,X0))
| ~ ordered(snoc(sK2,X0)) )
| ~ spl13_103
| ~ spl13_143 ),
inference(superposition,[],[f874,f1177]) ).
fof(f874,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl13_103 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f2407,plain,
( ~ spl13_267
| ~ spl13_31
| ~ spl13_248 ),
inference(avatar_split_clause,[],[f2236,f2229,f502,f2404]) ).
fof(f2404,plain,
( spl13_267
<=> elem(m_Halt(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_267])]) ).
fof(f2229,plain,
( spl13_248
<=> ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK8),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_248])]) ).
fof(f2236,plain,
( ~ elem(m_Halt(sK8),sK2)
| ~ spl13_31
| ~ spl13_248 ),
inference(resolution,[],[f2230,f503]) ).
fof(f2230,plain,
( ! [X0] :
( ~ leq(host(sK8),host(X0))
| ~ elem(m_Halt(X0),sK2) )
| ~ spl13_248 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f2402,plain,
( spl13_266
| ~ spl13_34
| ~ spl13_219 ),
inference(avatar_split_clause,[],[f1961,f1899,f514,f2400]) ).
fof(f2400,plain,
( spl13_266
<=> ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_266])]) ).
fof(f514,plain,
( spl13_34
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_34])]) ).
fof(f1961,plain,
( ! [X0] :
( ~ elem(m_Down(X0),queue(host(sK10(m_Down(X0)))))
| m_Down(X0) = m_Halt(sK10(m_Down(X0))) )
| ~ spl13_34
| ~ spl13_219 ),
inference(superposition,[],[f515,f1900]) ).
fof(f515,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_34 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f2398,plain,
( spl13_265
| ~ spl13_34
| ~ spl13_218 ),
inference(avatar_split_clause,[],[f1945,f1895,f514,f2396]) ).
fof(f2396,plain,
( spl13_265
<=> ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_265])]) ).
fof(f1945,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),queue(host(sK10(m_Halt(X0)))))
| m_Halt(X0) = m_Halt(sK10(m_Halt(X0))) )
| ~ spl13_34
| ~ spl13_218 ),
inference(superposition,[],[f515,f1896]) ).
fof(f2381,plain,
( ~ spl13_31
| spl13_264 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2378,plain,
( $false
| ~ spl13_31
| spl13_264 ),
inference(resolution,[],[f2376,f503]) ).
fof(f2376,plain,
( ~ leq(sK6,sK6)
| spl13_264 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2374,plain,
( spl13_264
<=> leq(sK6,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_264])]) ).
fof(f2377,plain,
( ~ spl13_264
| spl13_173
| ~ spl13_239 ),
inference(avatar_split_clause,[],[f2372,f2176,f1417,f2374]) ).
fof(f1417,plain,
( spl13_173
<=> leq(sK5,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_173])]) ).
fof(f2176,plain,
( spl13_239
<=> sK5 = sK6 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_239])]) ).
fof(f2372,plain,
( ~ leq(sK6,sK6)
| spl13_173
| ~ spl13_239 ),
inference(forward_demodulation,[],[f1419,f2178]) ).
fof(f2178,plain,
( sK5 = sK6
| ~ spl13_239 ),
inference(avatar_component_clause,[],[f2176]) ).
fof(f1419,plain,
( ~ leq(sK5,sK6)
| spl13_173 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f2370,plain,
( ~ spl13_174
| ~ spl13_4
| ~ spl13_241 ),
inference(avatar_split_clause,[],[f2199,f2196,f355,f1421]) ).
fof(f1421,plain,
( spl13_174
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_174])]) ).
fof(f2196,plain,
( spl13_241
<=> ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_241])]) ).
fof(f2199,plain,
( ~ setIn(sK6,alive)
| ~ spl13_4
| ~ spl13_241 ),
inference(resolution,[],[f2197,f357]) ).
fof(f357,plain,
( elem(m_Down(sK6),sK2)
| ~ spl13_4 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f2197,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_241 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2369,plain,
( ~ spl13_263
| ~ spl13_88
| spl13_176 ),
inference(avatar_split_clause,[],[f1449,f1441,f774,f2366]) ).
fof(f2366,plain,
( spl13_263
<=> leq(nbr_proc,zero) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_263])]) ).
fof(f1441,plain,
( spl13_176
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_176])]) ).
fof(f1449,plain,
( ~ leq(nbr_proc,zero)
| ~ spl13_88
| spl13_176 ),
inference(resolution,[],[f1443,f775]) ).
fof(f1443,plain,
( ~ leq(nbr_proc,s(zero))
| spl13_176 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f2364,plain,
( spl13_262
| ~ spl13_41
| ~ spl13_166 ),
inference(avatar_split_clause,[],[f1389,f1362,f562,f2361]) ).
fof(f2361,plain,
( spl13_262
<=> leq(zero,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_262])]) ).
fof(f1389,plain,
( leq(zero,nbr_proc)
| ~ spl13_41
| ~ spl13_166 ),
inference(resolution,[],[f1363,f564]) ).
fof(f2354,plain,
( spl13_236
| spl13_261
| ~ spl13_160 ),
inference(avatar_split_clause,[],[f1329,f1295,f2352,f2136]) ).
fof(f2136,plain,
( spl13_236
<=> leq(sK3,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_236])]) ).
fof(f2352,plain,
( spl13_261
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_261])]) ).
fof(f1295,plain,
( spl13_160
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_160])]) ).
fof(f1329,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK3,sK8)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_160 ),
inference(equality_resolution,[],[f1296]) ).
fof(f1296,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_160 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f2345,plain,
( spl13_211
| spl13_260
| ~ spl13_159 ),
inference(avatar_split_clause,[],[f1323,f1291,f2343,f1817]) ).
fof(f1817,plain,
( spl13_211
<=> leq(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_211])]) ).
fof(f2343,plain,
( spl13_260
<=> ! [X0] :
( ~ elem(m_Down(sK8),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_260])]) ).
fof(f1291,plain,
( spl13_159
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_159])]) ).
fof(f1323,plain,
( ! [X0] :
( ~ elem(m_Down(sK8),X0)
| leq(sK7,sK8)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl13_159 ),
inference(equality_resolution,[],[f1292]) ).
fof(f1292,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl13_159 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f2332,plain,
( spl13_173
| spl13_259
| ~ spl13_158 ),
inference(avatar_split_clause,[],[f1318,f1287,f2330,f1417]) ).
fof(f2330,plain,
( spl13_259
<=> ! [X0] :
( ~ elem(m_Down(sK6),X0)
| ~ ordered(cons(m_Halt(sK5),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_259])]) ).
fof(f1287,plain,
( spl13_158
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_158])]) ).
fof(f1318,plain,
( ! [X0] :
( ~ elem(m_Down(sK6),X0)
| leq(sK5,sK6)
| ~ ordered(cons(m_Halt(sK5),X0)) )
| ~ spl13_158 ),
inference(equality_resolution,[],[f1288]) ).
fof(f1288,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) )
| ~ spl13_158 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f2319,plain,
( spl13_257
| spl13_258
| ~ spl13_6
| ~ spl13_157 ),
inference(avatar_split_clause,[],[f1314,f1283,f365,f2317,f2313]) ).
fof(f2313,plain,
( spl13_257
<=> leq(sK7,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_257])]) ).
fof(f2317,plain,
( spl13_258
<=> ! [X0] :
( ~ elem(m_Down(sK3),X0)
| ~ ordered(cons(m_Halt(sK7),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_258])]) ).
fof(f1283,plain,
( spl13_157
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_157])]) ).
fof(f1314,plain,
( ! [X0] :
( ~ elem(m_Down(sK3),X0)
| leq(sK7,sK3)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl13_6
| ~ spl13_157 ),
inference(trivial_inequality_removal,[],[f1310]) ).
fof(f1310,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK3),X0)
| leq(sK7,sK3)
| ~ ordered(cons(m_Halt(sK7),X0)) )
| ~ spl13_6
| ~ spl13_157 ),
inference(superposition,[],[f1284,f367]) ).
fof(f1284,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_157 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f2310,plain,
( spl13_255
| spl13_256
| ~ spl13_8
| ~ spl13_156 ),
inference(avatar_split_clause,[],[f1307,f1278,f375,f2308,f2304]) ).
fof(f2304,plain,
( spl13_255
<=> leq(sK3,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_255])]) ).
fof(f2308,plain,
( spl13_256
<=> ! [X0] :
( ~ elem(m_Down(sK7),X0)
| ~ ordered(cons(m_Halt(sK3),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_256])]) ).
fof(f1278,plain,
( spl13_156
<=> ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_156])]) ).
fof(f1307,plain,
( ! [X0] :
( ~ elem(m_Down(sK7),X0)
| leq(sK3,sK7)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_8
| ~ spl13_156 ),
inference(trivial_inequality_removal,[],[f1305]) ).
fof(f1305,plain,
( ! [X0] :
( host(sK8) != host(sK8)
| ~ elem(m_Down(sK7),X0)
| leq(sK3,sK7)
| ~ ordered(cons(m_Halt(sK3),X0)) )
| ~ spl13_8
| ~ spl13_156 ),
inference(superposition,[],[f1279,f377]) ).
fof(f1279,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_156 ),
inference(avatar_component_clause,[],[f1278]) ).
fof(f2302,plain,
( spl13_254
| ~ spl13_101
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1189,f1176,f840,f2300]) ).
fof(f2300,plain,
( spl13_254
<=> ! [X0,X1] :
( elem(X1,snoc(queue(host(sK8)),X0))
| ~ elem(X1,snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_254])]) ).
fof(f840,plain,
( spl13_101
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_101])]) ).
fof(f1189,plain,
( ! [X0,X1] :
( elem(X1,snoc(queue(host(sK8)),X0))
| ~ elem(X1,snoc(sK2,X0)) )
| ~ spl13_101
| ~ spl13_143 ),
inference(superposition,[],[f841,f1177]) ).
fof(f841,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl13_101 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f2298,plain,
( spl13_253
| ~ spl13_85
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1188,f1176,f762,f2296]) ).
fof(f2296,plain,
( spl13_253
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_253])]) ).
fof(f1188,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| sP0(m_Down(sK4),snoc(sK2,X0)) )
| ~ spl13_85
| ~ spl13_143 ),
inference(superposition,[],[f763,f1177]) ).
fof(f2268,plain,
( spl13_252
| ~ spl13_73
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1187,f1176,f703,f2266]) ).
fof(f2266,plain,
( spl13_252
<=> ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| ordered(snoc(sK2,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_252])]) ).
fof(f1187,plain,
( ! [X0] :
( ~ ordered(snoc(queue(host(sK8)),X0))
| ordered(snoc(sK2,X0)) )
| ~ spl13_73
| ~ spl13_143 ),
inference(superposition,[],[f704,f1177]) ).
fof(f2264,plain,
( spl13_251
| ~ spl13_69
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1186,f1176,f687,f2262]) ).
fof(f2262,plain,
( spl13_251
<=> ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_251])]) ).
fof(f1186,plain,
( ! [X0] : snoc(sK2,X0) = tail(snoc(queue(host(sK8)),X0))
| ~ spl13_69
| ~ spl13_143 ),
inference(superposition,[],[f688,f1177]) ).
fof(f2260,plain,
( spl13_250
| ~ spl13_21
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1102,f1093,f452,f2258]) ).
fof(f452,plain,
( spl13_21
<=> ! [X18,X16,X17] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_21])]) ).
fof(f1102,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),sK2)
| ~ leq(host(X1),host(X0)) )
| ~ spl13_21
| ~ spl13_129 ),
inference(resolution,[],[f1094,f453]) ).
fof(f453,plain,
( ! [X18,X16,X17] :
( ~ elem(m_Ack(X18,X16),queue(host(X17)))
| ~ leq(host(X16),host(X18)) )
| ~ spl13_21 ),
inference(avatar_component_clause,[],[f452]) ).
fof(f2235,plain,
( spl13_249
| ~ spl13_68
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1185,f1176,f683,f2233]) ).
fof(f2233,plain,
( spl13_249
<=> ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_249])]) ).
fof(f1185,plain,
( ! [X0] : m_Down(sK4) = head(snoc(queue(host(sK8)),X0))
| ~ spl13_68
| ~ spl13_143 ),
inference(superposition,[],[f684,f1177]) ).
fof(f2231,plain,
( spl13_248
| ~ spl13_19
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1101,f1093,f433,f2229]) ).
fof(f433,plain,
( spl13_19
<=> ! [X20,X19] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_19])]) ).
fof(f1101,plain,
( ! [X0] :
( ~ elem(m_Halt(X0),sK2)
| ~ leq(host(sK8),host(X0)) )
| ~ spl13_19
| ~ spl13_129 ),
inference(resolution,[],[f1094,f434]) ).
fof(f434,plain,
( ! [X19,X20] :
( ~ elem(m_Halt(X20),queue(host(X19)))
| ~ leq(host(X19),host(X20)) )
| ~ spl13_19 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f2226,plain,
( spl13_247
| ~ spl13_66
| ~ spl13_143 ),
inference(avatar_split_clause,[],[f1184,f1176,f669,f2224]) ).
fof(f2224,plain,
( spl13_247
<=> ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK8)),X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_247])]) ).
fof(f1184,plain,
( ! [X0] : elem(m_Down(sK4),snoc(queue(host(sK8)),X0))
| ~ spl13_66
| ~ spl13_143 ),
inference(superposition,[],[f670,f1177]) ).
fof(f2221,plain,
( spl13_246
| ~ spl13_129
| ~ spl13_139 ),
inference(avatar_split_clause,[],[f1145,f1141,f1093,f2219]) ).
fof(f2219,plain,
( spl13_246
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK3,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_246])]) ).
fof(f1141,plain,
( spl13_139
<=> ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_139])]) ).
fof(f1145,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK3,X0),sK2) )
| ~ spl13_129
| ~ spl13_139 ),
inference(resolution,[],[f1142,f1094]) ).
fof(f1142,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl13_139 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f2217,plain,
( spl13_245
| ~ spl13_129
| ~ spl13_138 ),
inference(avatar_split_clause,[],[f1144,f1137,f1093,f2215]) ).
fof(f2215,plain,
( spl13_245
<=> ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_245])]) ).
fof(f1137,plain,
( spl13_138
<=> ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_138])]) ).
fof(f1144,plain,
( ! [X0] :
( setIn(X0,pids)
| ~ elem(m_Ack(sK7,X0),sK2) )
| ~ spl13_129
| ~ spl13_138 ),
inference(resolution,[],[f1138,f1094]) ).
fof(f1138,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl13_138 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f2213,plain,
( spl13_243
| spl13_244
| ~ spl13_111
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1099,f1093,f928,f2211,f2207]) ).
fof(f2207,plain,
( spl13_243
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_243])]) ).
fof(f2211,plain,
( spl13_244
<=> ! [X0] : ~ elem(m_Ack(sK8,X0),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_244])]) ).
fof(f928,plain,
( spl13_111
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_111])]) ).
fof(f1099,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(sK8,pids) )
| ~ spl13_111
| ~ spl13_129 ),
inference(resolution,[],[f1094,f929]) ).
fof(f929,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl13_111 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f2205,plain,
( spl13_242
| ~ spl13_112
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1098,f1093,f932,f2203]) ).
fof(f2203,plain,
( spl13_242
<=> ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_242])]) ).
fof(f932,plain,
( spl13_112
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_112])]) ).
fof(f1098,plain,
( ! [X0] :
( ~ elem(m_Ack(sK8,X0),sK2)
| setIn(X0,pids) )
| ~ spl13_112
| ~ spl13_129 ),
inference(resolution,[],[f1094,f933]) ).
fof(f933,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl13_112 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f2198,plain,
( spl13_241
| ~ spl13_15
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1100,f1093,f412,f2196]) ).
fof(f1100,plain,
( ! [X0] :
( ~ elem(m_Down(X0),sK2)
| ~ setIn(X0,alive) )
| ~ spl13_15
| ~ spl13_129 ),
inference(resolution,[],[f1094,f413]) ).
fof(f2186,plain,
( ~ spl13_1
| spl13_240
| ~ spl13_8
| ~ spl13_152 ),
inference(avatar_split_clause,[],[f1255,f1248,f375,f2183,f340]) ).
fof(f340,plain,
( spl13_1
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_1])]) ).
fof(f1248,plain,
( spl13_152
<=> ! [X0] :
( host(X0) != host(sK8)
| sK7 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_152])]) ).
fof(f1255,plain,
( sK3 = sK7
| ~ setIn(sK3,alive)
| ~ spl13_8
| ~ spl13_152 ),
inference(trivial_inequality_removal,[],[f1253]) ).
fof(f1253,plain,
( host(sK8) != host(sK8)
| sK3 = sK7
| ~ setIn(sK3,alive)
| ~ spl13_8
| ~ spl13_152 ),
inference(superposition,[],[f1249,f377]) ).
fof(f1249,plain,
( ! [X0] :
( host(X0) != host(sK8)
| sK7 = X0
| ~ setIn(X0,alive) )
| ~ spl13_152 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f2179,plain,
( ~ spl13_174
| spl13_239
| ~ spl13_151 ),
inference(avatar_split_clause,[],[f1246,f1240,f2176,f1421]) ).
fof(f1240,plain,
( spl13_151
<=> ! [X0] :
( host(X0) != host(sK6)
| sK5 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_151])]) ).
fof(f1246,plain,
( sK5 = sK6
| ~ setIn(sK6,alive)
| ~ spl13_151 ),
inference(equality_resolution,[],[f1241]) ).
fof(f1241,plain,
( ! [X0] :
( host(X0) != host(sK6)
| sK5 = X0
| ~ setIn(X0,alive) )
| ~ spl13_151 ),
inference(avatar_component_clause,[],[f1240]) ).
fof(f2174,plain,
( spl13_238
| ~ spl13_72
| spl13_236 ),
inference(avatar_split_clause,[],[f2168,f2136,f699,f2171]) ).
fof(f2171,plain,
( spl13_238
<=> leq(sK8,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_238])]) ).
fof(f2168,plain,
( leq(sK8,sK3)
| ~ spl13_72
| spl13_236 ),
inference(resolution,[],[f2138,f700]) ).
fof(f2138,plain,
( ~ leq(sK3,sK8)
| spl13_236 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2143,plain,
( spl13_237
| ~ spl13_47
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1082,f1070,f591,f2141]) ).
fof(f2141,plain,
( spl13_237
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_237])]) ).
fof(f1070,plain,
( spl13_127
<=> ! [X0,X1,X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_127])]) ).
fof(f1082,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_47
| ~ spl13_127 ),
inference(superposition,[],[f1071,f592]) ).
fof(f1071,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X3),pidMsg(X0))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) )
| ~ spl13_127 ),
inference(avatar_component_clause,[],[f1070]) ).
fof(f2139,plain,
( ~ spl13_236
| spl13_20
| ~ spl13_150 ),
inference(avatar_split_clause,[],[f1236,f1230,f437,f2136]) ).
fof(f437,plain,
( spl13_20
<=> setIn(sK8,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_20])]) ).
fof(f1230,plain,
( spl13_150
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_150])]) ).
fof(f1236,plain,
( setIn(sK8,alive)
| ~ leq(sK3,sK8)
| ~ spl13_150 ),
inference(equality_resolution,[],[f1231]) ).
fof(f1231,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK3,X0) )
| ~ spl13_150 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f2134,plain,
( spl13_235
| ~ spl13_46
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1081,f1070,f587,f2132]) ).
fof(f2132,plain,
( spl13_235
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_235])]) ).
fof(f1081,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP1(X1,X2) )
| ~ spl13_46
| ~ spl13_127 ),
inference(superposition,[],[f1071,f588]) ).
fof(f2130,plain,
( spl13_234
| ~ spl13_47
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1080,f1070,f591,f2128]) ).
fof(f2128,plain,
( spl13_234
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_234])]) ).
fof(f1080,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Down(X0),X2) )
| ~ spl13_47
| ~ spl13_127 ),
inference(superposition,[],[f1071,f592]) ).
fof(f2126,plain,
( spl13_233
| ~ spl13_46
| ~ spl13_127 ),
inference(avatar_split_clause,[],[f1079,f1070,f587,f2124]) ).
fof(f2124,plain,
( spl13_233
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_233])]) ).
fof(f1079,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP1(m_Halt(X0),X2) )
| ~ spl13_46
| ~ spl13_127 ),
inference(superposition,[],[f1071,f588]) ).
fof(f2122,plain,
( spl13_232
| ~ spl13_47
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1076,f1066,f591,f2120]) ).
fof(f2120,plain,
( spl13_232
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_232])]) ).
fof(f1066,plain,
( spl13_126
<=> ! [X0,X1,X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_126])]) ).
fof(f1076,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Down(X0))
| ~ pidElem(X1)
| ~ elem(m_Down(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_47
| ~ spl13_126 ),
inference(superposition,[],[f1067,f592]) ).
fof(f1067,plain,
( ! [X3,X0,X1] :
( host(pidMsg(X0)) != host(pidMsg(X3))
| leq(pidMsg(X0),pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) )
| ~ spl13_126 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f2118,plain,
( spl13_231
| ~ spl13_46
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1075,f1066,f587,f2116]) ).
fof(f2116,plain,
( spl13_231
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_231])]) ).
fof(f1075,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(pidMsg(X1),X0)
| ~ pidElem(m_Halt(X0))
| ~ pidElem(X1)
| ~ elem(m_Halt(X0),X2)
| ~ sP0(X1,X2) )
| ~ spl13_46
| ~ spl13_126 ),
inference(superposition,[],[f1067,f588]) ).
fof(f2114,plain,
( spl13_230
| ~ spl13_47
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1074,f1066,f591,f2112]) ).
fof(f2112,plain,
( spl13_230
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_230])]) ).
fof(f1074,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Down(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Down(X0),X2) )
| ~ spl13_47
| ~ spl13_126 ),
inference(superposition,[],[f1067,f592]) ).
fof(f2110,plain,
( spl13_229
| ~ spl13_46
| ~ spl13_126 ),
inference(avatar_split_clause,[],[f1073,f1066,f587,f2108]) ).
fof(f2108,plain,
( spl13_229
<=> ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_229])]) ).
fof(f1073,plain,
( ! [X2,X0,X1] :
( host(X0) != host(pidMsg(X1))
| leq(X0,pidMsg(X1))
| ~ pidElem(X1)
| ~ pidElem(m_Halt(X0))
| ~ elem(X1,X2)
| ~ sP0(m_Halt(X0),X2) )
| ~ spl13_46
| ~ spl13_126 ),
inference(superposition,[],[f1067,f588]) ).
fof(f2104,plain,
( spl13_228
| ~ spl13_86
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1053,f1039,f766,f2102]) ).
fof(f2102,plain,
( spl13_228
<=> ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_228])]) ).
fof(f766,plain,
( spl13_86
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_86])]) ).
fof(f1039,plain,
( spl13_122
<=> ! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_122])]) ).
fof(f1053,plain,
( ! [X0,X1] :
( sK12(X0,X1) = m_Halt(sK10(sK12(X0,X1)))
| sK12(X0,X1) = m_Down(sK10(sK12(X0,X1)))
| sP1(X0,X1) )
| ~ spl13_86
| ~ spl13_122 ),
inference(resolution,[],[f1040,f767]) ).
fof(f767,plain,
( ! [X0,X1] :
( pidElem(sK12(X0,X1))
| sP1(X0,X1) )
| ~ spl13_86 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f1040,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK10(X0)) = X0
| m_Down(sK10(X0)) = X0 )
| ~ spl13_122 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f2096,plain,
( spl13_227
| ~ spl13_84
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1052,f1039,f758,f2094]) ).
fof(f2094,plain,
( spl13_227
<=> ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_227])]) ).
fof(f758,plain,
( spl13_84
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_84])]) ).
fof(f1052,plain,
( ! [X0,X1] :
( sK11(X0,X1) = m_Halt(sK10(sK11(X0,X1)))
| sK11(X0,X1) = m_Down(sK10(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_84
| ~ spl13_122 ),
inference(resolution,[],[f1040,f759]) ).
fof(f759,plain,
( ! [X0,X1] :
( pidElem(sK11(X0,X1))
| sP0(X0,X1) )
| ~ spl13_84 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f2030,plain,
( spl13_226
| ~ spl13_98
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1035,f1000,f828,f2028]) ).
fof(f1035,plain,
( ! [X2,X0,X1] :
( sK12(X0,cons(X1,X2)) = X1
| elem(sK12(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl13_98
| ~ spl13_121 ),
inference(resolution,[],[f1001,f829]) ).
fof(f2026,plain,
( spl13_225
| ~ spl13_96
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1034,f1000,f819,f2024]) ).
fof(f1034,plain,
( ! [X2,X0,X1] :
( sK11(X0,cons(X1,X2)) = X1
| elem(sK11(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl13_96
| ~ spl13_121 ),
inference(resolution,[],[f1001,f820]) ).
fof(f2022,plain,
( spl13_224
| ~ spl13_98
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1028,f996,f828,f2020]) ).
fof(f996,plain,
( spl13_120
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_120])]) ).
fof(f1028,plain,
( ! [X2,X0,X1] :
( sK12(X0,snoc(X1,X2)) = X2
| elem(sK12(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl13_98
| ~ spl13_120 ),
inference(resolution,[],[f997,f829]) ).
fof(f997,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl13_120 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f2018,plain,
( spl13_223
| ~ spl13_96
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1027,f996,f819,f2016]) ).
fof(f1027,plain,
( ! [X2,X0,X1] :
( sK11(X0,snoc(X1,X2)) = X2
| elem(sK11(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl13_96
| ~ spl13_120 ),
inference(resolution,[],[f997,f820]) ).
fof(f1998,plain,
( spl13_222
| ~ spl13_72
| spl13_211 ),
inference(avatar_split_clause,[],[f1892,f1817,f699,f1995]) ).
fof(f1995,plain,
( spl13_222
<=> leq(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_222])]) ).
fof(f1892,plain,
( leq(sK8,sK7)
| ~ spl13_72
| spl13_211 ),
inference(resolution,[],[f1819,f700]) ).
fof(f1819,plain,
( ~ leq(sK7,sK8)
| spl13_211 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1982,plain,
( spl13_221
| ~ spl13_119
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1031,f996,f992,f1980]) ).
fof(f1980,plain,
( spl13_221
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_221])]) ).
fof(f1031,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl13_119
| ~ spl13_120 ),
inference(superposition,[],[f997,f993]) ).
fof(f1978,plain,
( spl13_220
| ~ spl13_104
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1020,f992,f877,f1976]) ).
fof(f1976,plain,
( spl13_220
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_220])]) ).
fof(f877,plain,
( spl13_104
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_104])]) ).
fof(f1020,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_104
| ~ spl13_119 ),
inference(superposition,[],[f878,f993]) ).
fof(f878,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl13_104 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f1901,plain,
( spl13_219
| ~ spl13_32
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1051,f1039,f506,f1899]) ).
fof(f506,plain,
( spl13_32
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_32])]) ).
fof(f1051,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK10(m_Down(X0)))
| m_Down(X0) = m_Down(sK10(m_Down(X0))) )
| ~ spl13_32
| ~ spl13_122 ),
inference(resolution,[],[f1040,f507]) ).
fof(f507,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl13_32 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f1897,plain,
( spl13_218
| ~ spl13_33
| ~ spl13_122 ),
inference(avatar_split_clause,[],[f1050,f1039,f510,f1895]) ).
fof(f510,plain,
( spl13_33
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_33])]) ).
fof(f1050,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK10(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK10(m_Halt(X0))) )
| ~ spl13_33
| ~ spl13_122 ),
inference(resolution,[],[f1040,f511]) ).
fof(f511,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl13_33 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f1891,plain,
( spl13_217
| ~ spl13_110
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1037,f1000,f924,f1889]) ).
fof(f1889,plain,
( spl13_217
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_217])]) ).
fof(f924,plain,
( spl13_110
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_110])]) ).
fof(f1037,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_110
| ~ spl13_121 ),
inference(superposition,[],[f1001,f925]) ).
fof(f925,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl13_110 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f1887,plain,
( spl13_216
| ~ spl13_109
| ~ spl13_120 ),
inference(avatar_split_clause,[],[f1030,f996,f920,f1885]) ).
fof(f1885,plain,
( spl13_216
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_216])]) ).
fof(f1030,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_109
| ~ spl13_120 ),
inference(superposition,[],[f997,f921]) ).
fof(f1883,plain,
( spl13_215
| ~ spl13_110
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1012,f992,f924,f1881]) ).
fof(f1012,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl13_110
| ~ spl13_119 ),
inference(superposition,[],[f993,f925]) ).
fof(f1840,plain,
( spl13_214
| ~ spl13_103
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f966,f924,f873,f1838]) ).
fof(f966,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_103
| ~ spl13_110 ),
inference(superposition,[],[f874,f925]) ).
fof(f1836,plain,
( spl13_213
| ~ spl13_104
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f958,f920,f877,f1834]) ).
fof(f958,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl13_104
| ~ spl13_109 ),
inference(superposition,[],[f878,f921]) ).
fof(f1832,plain,
( spl13_212
| ~ spl13_94
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f909,f890,f811,f1830]) ).
fof(f890,plain,
( spl13_107
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_107])]) ).
fof(f909,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl13_94
| ~ spl13_107 ),
inference(resolution,[],[f891,f812]) ).
fof(f891,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl13_107 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f1820,plain,
( ~ spl13_211
| spl13_20
| ~ spl13_149 ),
inference(avatar_split_clause,[],[f1226,f1220,f437,f1817]) ).
fof(f1220,plain,
( spl13_149
<=> ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_149])]) ).
fof(f1226,plain,
( setIn(sK8,alive)
| ~ leq(sK7,sK8)
| ~ spl13_149 ),
inference(equality_resolution,[],[f1221]) ).
fof(f1221,plain,
( ! [X0] :
( host(X0) != host(sK8)
| setIn(X0,alive)
| ~ leq(sK7,X0) )
| ~ spl13_149 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1793,plain,
( spl13_210
| ~ spl13_99
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1022,f992,f832,f1791]) ).
fof(f832,plain,
( spl13_99
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_99])]) ).
fof(f1022,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_99
| ~ spl13_119 ),
inference(superposition,[],[f833,f993]) ).
fof(f833,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl13_99 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f1789,plain,
( spl13_209
| ~ spl13_100
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1019,f992,f836,f1787]) ).
fof(f836,plain,
( spl13_100
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_100])]) ).
fof(f1019,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl13_100
| ~ spl13_119 ),
inference(superposition,[],[f837,f993]) ).
fof(f837,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl13_100 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f1785,plain,
( spl13_208
| ~ spl13_94
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1010,f988,f811,f1783]) ).
fof(f1783,plain,
( spl13_208
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_208])]) ).
fof(f1010,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl13_94
| ~ spl13_118 ),
inference(resolution,[],[f989,f812]) ).
fof(f1720,plain,
( spl13_207
| ~ spl13_82
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1021,f992,f749,f1718]) ).
fof(f749,plain,
( spl13_82
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_82])]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl13_82
| ~ spl13_119 ),
inference(superposition,[],[f750,f993]) ).
fof(f750,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl13_82 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f1716,plain,
( spl13_206
| ~ spl13_87
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1018,f992,f770,f1714]) ).
fof(f770,plain,
( spl13_87
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_87])]) ).
fof(f1018,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl13_87
| ~ spl13_119 ),
inference(superposition,[],[f771,f993]) ).
fof(f771,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl13_87 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1712,plain,
( spl13_205
| ~ spl13_72
| ~ spl13_118 ),
inference(avatar_split_clause,[],[f1008,f988,f699,f1710]) ).
fof(f1710,plain,
( spl13_205
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_205])]) ).
fof(f1008,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl13_72
| ~ spl13_118 ),
inference(resolution,[],[f989,f700]) ).
fof(f1708,plain,
( spl13_204
| ~ spl13_47
| ~ spl13_114 ),
inference(avatar_split_clause,[],[f980,f940,f591,f1706]) ).
fof(f1706,plain,
( spl13_204
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_204])]) ).
fof(f940,plain,
( spl13_114
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_114])]) ).
fof(f980,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl13_47
| ~ spl13_114 ),
inference(superposition,[],[f941,f592]) ).
fof(f941,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl13_114 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f1704,plain,
( spl13_203
| ~ spl13_46
| ~ spl13_114 ),
inference(avatar_split_clause,[],[f979,f940,f587,f1702]) ).
fof(f1702,plain,
( spl13_203
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_203])]) ).
fof(f979,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK12(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl13_46
| ~ spl13_114 ),
inference(superposition,[],[f941,f588]) ).
fof(f1700,plain,
( spl13_202
| ~ spl13_47
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f976,f936,f591,f1698]) ).
fof(f1698,plain,
( spl13_202
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_202])]) ).
fof(f936,plain,
( spl13_113
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_113])]) ).
fof(f976,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl13_47
| ~ spl13_113 ),
inference(superposition,[],[f937,f592]) ).
fof(f937,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
| sP0(X0,X1) )
| ~ spl13_113 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f1696,plain,
( spl13_201
| ~ spl13_46
| ~ spl13_113 ),
inference(avatar_split_clause,[],[f975,f936,f587,f1694]) ).
fof(f1694,plain,
( spl13_201
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_201])]) ).
fof(f975,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK11(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl13_46
| ~ spl13_113 ),
inference(superposition,[],[f937,f588]) ).
fof(f1692,plain,
( spl13_200
| ~ spl13_94
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f917,f894,f811,f1690]) ).
fof(f917,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl13_94
| ~ spl13_108 ),
inference(resolution,[],[f895,f812]) ).
fof(f1688,plain,
( spl13_199
| ~ spl13_88
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f906,f890,f774,f1686]) ).
fof(f906,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl13_88
| ~ spl13_107 ),
inference(resolution,[],[f891,f775]) ).
fof(f1614,plain,
( spl13_198
| ~ spl13_74
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1017,f992,f707,f1612]) ).
fof(f707,plain,
( spl13_74
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_74])]) ).
fof(f1017,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl13_74
| ~ spl13_119 ),
inference(superposition,[],[f708,f993]) ).
fof(f708,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl13_74 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f1610,plain,
( spl13_197
| ~ spl13_71
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1016,f992,f695,f1608]) ).
fof(f695,plain,
( spl13_71
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_71])]) ).
fof(f1016,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl13_71
| ~ spl13_119 ),
inference(superposition,[],[f696,f993]) ).
fof(f696,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl13_71 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f1606,plain,
( spl13_196
| ~ spl13_72
| ~ spl13_114 ),
inference(avatar_split_clause,[],[f977,f940,f699,f1604]) ).
fof(f977,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK12(X0,X1))) )
| ~ spl13_72
| ~ spl13_114 ),
inference(resolution,[],[f941,f700]) ).
fof(f1602,plain,
( spl13_195
| ~ spl13_101
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f965,f924,f840,f1600]) ).
fof(f965,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl13_101
| ~ spl13_110 ),
inference(superposition,[],[f841,f925]) ).
fof(f1598,plain,
( spl13_194
| ~ spl13_85
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f964,f924,f762,f1596]) ).
fof(f1596,plain,
( spl13_194
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_194])]) ).
fof(f964,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl13_85
| ~ spl13_110 ),
inference(superposition,[],[f763,f925]) ).
fof(f1594,plain,
( spl13_193
| ~ spl13_100
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f957,f920,f836,f1592]) ).
fof(f957,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl13_100
| ~ spl13_109 ),
inference(superposition,[],[f837,f921]) ).
fof(f1590,plain,
( spl13_192
| ~ spl13_87
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f956,f920,f770,f1588]) ).
fof(f1588,plain,
( spl13_192
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_192])]) ).
fof(f956,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl13_87
| ~ spl13_109 ),
inference(superposition,[],[f771,f921]) ).
fof(f1586,plain,
( spl13_191
| ~ spl13_88
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f914,f894,f774,f1584]) ).
fof(f914,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl13_88
| ~ spl13_108 ),
inference(resolution,[],[f895,f775]) ).
fof(f1582,plain,
( spl13_190
| ~ spl13_72
| spl13_173 ),
inference(avatar_split_clause,[],[f1468,f1417,f699,f1579]) ).
fof(f1579,plain,
( spl13_190
<=> leq(sK6,sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_190])]) ).
fof(f1468,plain,
( leq(sK6,sK5)
| ~ spl13_72
| spl13_173 ),
inference(resolution,[],[f1419,f700]) ).
fof(f1577,plain,
( spl13_189
| ~ spl13_48
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f908,f890,f595,f1575]) ).
fof(f1575,plain,
( spl13_189
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_189])]) ).
fof(f908,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl13_48
| ~ spl13_107 ),
inference(resolution,[],[f891,f596]) ).
fof(f1563,plain,
( spl13_188
| ~ spl13_72
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f912,f894,f699,f1561]) ).
fof(f912,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl13_72
| ~ spl13_108 ),
inference(resolution,[],[f895,f700]) ).
fof(f1538,plain,
( spl13_187
| ~ spl13_8
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f870,f862,f375,f1536]) ).
fof(f1536,plain,
( spl13_187
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_187])]) ).
fof(f862,plain,
( spl13_102
<=> ! [X10,X11,X9,X8] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_102])]) ).
fof(f870,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_8
| ~ spl13_102 ),
inference(superposition,[],[f863,f377]) ).
fof(f863,plain,
( ! [X10,X11,X8,X9] :
( host(X10) != host(X11)
| ~ elem(m_Down(X11),queue(host(X8)))
| ~ elem(m_Down(X9),queue(host(X10)))
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
| ~ spl13_102 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f1534,plain,
( spl13_186
| ~ spl13_6
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f869,f862,f365,f1532]) ).
fof(f1532,plain,
( spl13_186
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_186])]) ).
fof(f869,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_6
| ~ spl13_102 ),
inference(superposition,[],[f863,f367]) ).
fof(f1530,plain,
( spl13_185
| ~ spl13_5
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f868,f862,f360,f1528]) ).
fof(f868,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(X0)))
| host(X2) != host(X1)
| ~ setIn(X0,alive)
| ~ setIn(X1,alive)
| host(X0) = host(X1) )
| ~ spl13_5
| ~ spl13_102 ),
inference(superposition,[],[f863,f362]) ).
fof(f1519,plain,
( ~ spl13_3
| spl13_184
| ~ spl13_6
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f866,f862,f365,f1517,f350]) ).
fof(f1517,plain,
( spl13_184
<=> ! [X2,X0,X1] :
( host(X0) != host(sK8)
| host(X1) = host(sK8)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_184])]) ).
fof(f866,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK8)))
| host(X2) != host(X1)
| ~ setIn(sK7,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK8) )
| ~ spl13_6
| ~ spl13_102 ),
inference(superposition,[],[f863,f367]) ).
fof(f1508,plain,
( ~ spl13_2
| spl13_183
| ~ spl13_5
| ~ spl13_102 ),
inference(avatar_split_clause,[],[f865,f862,f360,f1506,f345]) ).
fof(f345,plain,
( spl13_2
<=> setIn(sK5,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_2])]) ).
fof(f865,plain,
( ! [X2,X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ elem(m_Down(X2),queue(host(sK6)))
| host(X2) != host(X1)
| ~ setIn(sK5,alive)
| ~ setIn(X1,alive)
| host(X1) = host(sK6) )
| ~ spl13_5
| ~ spl13_102 ),
inference(superposition,[],[f863,f362]) ).
fof(f1473,plain,
( spl13_182
| ~ spl13_70
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1015,f992,f691,f1471]) ).
fof(f691,plain,
( spl13_70
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_70])]) ).
fof(f1015,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl13_70
| ~ spl13_119 ),
inference(superposition,[],[f692,f993]) ).
fof(f692,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl13_70 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f1467,plain,
( spl13_181
| ~ spl13_73
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f963,f924,f703,f1465]) ).
fof(f1465,plain,
( spl13_181
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_181])]) ).
fof(f963,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl13_73
| ~ spl13_110 ),
inference(superposition,[],[f704,f925]) ).
fof(f1463,plain,
( spl13_180
| ~ spl13_74
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f955,f920,f707,f1461]) ).
fof(f1461,plain,
( spl13_180
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_180])]) ).
fof(f955,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl13_74
| ~ spl13_109 ),
inference(superposition,[],[f708,f921]) ).
fof(f1459,plain,
( spl13_179
| ~ spl13_48
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f916,f894,f595,f1457]) ).
fof(f916,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl13_48
| ~ spl13_108 ),
inference(resolution,[],[f895,f596]) ).
fof(f1455,plain,
( spl13_178
| ~ spl13_44
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f910,f890,f576,f1453]) ).
fof(f1453,plain,
( spl13_178
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_178])]) ).
fof(f910,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl13_44
| ~ spl13_107 ),
inference(resolution,[],[f891,f577]) ).
fof(f1448,plain,
( ~ spl13_176
| spl13_177
| ~ spl13_41
| ~ spl13_107 ),
inference(avatar_split_clause,[],[f907,f890,f562,f1445,f1441]) ).
fof(f1445,plain,
( spl13_177
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl13_177])]) ).
fof(f907,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl13_41
| ~ spl13_107 ),
inference(resolution,[],[f891,f564]) ).
fof(f1439,plain,
( spl13_175
| ~ spl13_72
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f852,f815,f699,f1437]) ).
fof(f815,plain,
( spl13_95
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_95])]) ).
fof(f852,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl13_72
| ~ spl13_95 ),
inference(resolution,[],[f816,f700]) ).
fof(f816,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl13_95 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f1424,plain,
( ~ spl13_173
| spl13_174
| ~ spl13_148 ),
inference(avatar_split_clause,[],[f1217,f1211,f1421,f1417]) ).
fof(f1211,plain,
( spl13_148
<=> ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK5,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_148])]) ).
fof(f1217,plain,
( setIn(sK6,alive)
| ~ leq(sK5,sK6)
| ~ spl13_148 ),
inference(equality_resolution,[],[f1212]) ).
fof(f1212,plain,
( ! [X0] :
( host(X0) != host(sK6)
| setIn(X0,alive)
| ~ leq(sK5,X0) )
| ~ spl13_148 ),
inference(avatar_component_clause,[],[f1211]) ).
fof(f1388,plain,
( spl13_172
| ~ spl13_65
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1014,f992,f665,f1386]) ).
fof(f665,plain,
( spl13_65
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_65])]) ).
fof(f1014,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl13_65
| ~ spl13_119 ),
inference(superposition,[],[f666,f993]) ).
fof(f666,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl13_65 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f1384,plain,
( spl13_171
| ~ spl13_66
| ~ spl13_110 ),
inference(avatar_split_clause,[],[f962,f924,f669,f1382]) ).
fof(f962,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl13_66
| ~ spl13_110 ),
inference(superposition,[],[f670,f925]) ).
fof(f1380,plain,
( spl13_170
| ~ spl13_65
| ~ spl13_109 ),
inference(avatar_split_clause,[],[f954,f920,f665,f1378]) ).
fof(f954,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl13_65
| ~ spl13_109 ),
inference(superposition,[],[f666,f921]) ).
fof(f1376,plain,
( spl13_169
| ~ spl13_44
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f918,f894,f576,f1374]) ).
fof(f918,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl13_44
| ~ spl13_108 ),
inference(resolution,[],[f895,f577]) ).
fof(f1372,plain,
( spl13_168
| ~ spl13_41
| ~ spl13_108 ),
inference(avatar_split_clause,[],[f915,f894,f562,f1370]) ).
fof(f915,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl13_41
| ~ spl13_108 ),
inference(resolution,[],[f895,f564]) ).
fof(f1368,plain,
( spl13_167
| ~ spl13_87
| ~ spl13_99 ),
inference(avatar_split_clause,[],[f856,f832,f770,f1366]) ).
fof(f1366,plain,
( spl13_167
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_167])]) ).
fof(f856,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl13_87
| ~ spl13_99 ),
inference(resolution,[],[f833,f771]) ).
fof(f1364,plain,
( spl13_166
| ~ spl13_88
| ~ spl13_95 ),
inference(avatar_split_clause,[],[f850,f815,f774,f1362]) ).
fof(f850,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl13_88
| ~ spl13_95 ),
inference(resolution,[],[f816,f775]) ).
fof(f1356,plain,
( spl13_165
| ~ spl13_82
| ~ spl13_87 ),
inference(avatar_split_clause,[],[f787,f770,f749,f1354]) ).
fof(f1354,plain,
( spl13_165
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_165])]) ).
fof(f787,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl13_82
| ~ spl13_87 ),
inference(resolution,[],[f771,f750]) ).
fof(f1352,plain,
( spl13_164
| ~ spl13_70
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f779,f745,f691,f1350]) ).
fof(f1350,plain,
( spl13_164
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_164])]) ).
fof(f779,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl13_70
| ~ spl13_81 ),
inference(superposition,[],[f692,f746]) ).
fof(f1348,plain,
( spl13_163
| ~ spl13_71
| ~ spl13_81 ),
inference(avatar_split_clause,[],[f778,f745,f695,f1346]) ).
fof(f1346,plain,
( spl13_163
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_163])]) ).
fof(f778,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl13_71
| ~ spl13_81 ),
inference(superposition,[],[f696,f746]) ).
fof(f1340,plain,
( spl13_162
| ~ spl13_42
| ~ spl13_88 ),
inference(avatar_split_clause,[],[f789,f774,f567,f1338]) ).
fof(f567,plain,
( spl13_42
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_42])]) ).
fof(f789,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl13_42
| ~ spl13_88 ),
inference(resolution,[],[f775,f568]) ).
fof(f568,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl13_42 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1336,plain,
( ~ spl13_161
| spl13_61
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1281,f1093,f648,f1333]) ).
fof(f1333,plain,
( spl13_161
<=> elem(m_Down(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_161])]) ).
fof(f648,plain,
( spl13_61
<=> elem(m_Down(sK3),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_61])]) ).
fof(f1281,plain,
( ~ elem(m_Down(sK3),sK2)
| spl13_61
| ~ spl13_129 ),
inference(resolution,[],[f650,f1094]) ).
fof(f650,plain,
( ~ elem(m_Down(sK3),queue(host(sK8)))
| spl13_61 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1297,plain,
( spl13_160
| ~ spl13_8
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1063,f1055,f375,f1295]) ).
fof(f1055,plain,
( spl13_125
<=> ! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_125])]) ).
fof(f1063,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK3,X0)
| ~ ordered(cons(m_Halt(sK3),X1)) )
| ~ spl13_8
| ~ spl13_125 ),
inference(superposition,[],[f1056,f377]) ).
fof(f1056,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl13_125 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1293,plain,
( spl13_159
| ~ spl13_6
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1062,f1055,f365,f1291]) ).
fof(f1062,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(X0),X1)
| leq(sK7,X0)
| ~ ordered(cons(m_Halt(sK7),X1)) )
| ~ spl13_6
| ~ spl13_125 ),
inference(superposition,[],[f1056,f367]) ).
fof(f1289,plain,
( spl13_158
| ~ spl13_5
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1061,f1055,f360,f1287]) ).
fof(f1061,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK5,X0)
| ~ ordered(cons(m_Halt(sK5),X1)) )
| ~ spl13_5
| ~ spl13_125 ),
inference(superposition,[],[f1056,f362]) ).
fof(f1285,plain,
( spl13_157
| ~ spl13_8
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1060,f1055,f375,f1283]) ).
fof(f1060,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),X1)
| leq(X0,sK3)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_8
| ~ spl13_125 ),
inference(superposition,[],[f1056,f377]) ).
fof(f1280,plain,
( spl13_156
| ~ spl13_6
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1059,f1055,f365,f1278]) ).
fof(f1059,plain,
( ! [X0,X1] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),X1)
| leq(X0,sK7)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_6
| ~ spl13_125 ),
inference(superposition,[],[f1056,f367]) ).
fof(f1276,plain,
( spl13_155
| ~ spl13_5
| ~ spl13_125 ),
inference(avatar_split_clause,[],[f1058,f1055,f360,f1274]) ).
fof(f1274,plain,
( spl13_155
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_155])]) ).
fof(f1058,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),X1)
| leq(X0,sK5)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl13_5
| ~ spl13_125 ),
inference(superposition,[],[f1056,f362]) ).
fof(f1268,plain,
( spl13_154
| ~ spl13_42
| ~ spl13_72 ),
inference(avatar_split_clause,[],[f738,f699,f567,f1266]) ).
fof(f738,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl13_42
| ~ spl13_72 ),
inference(resolution,[],[f700,f568]) ).
fof(f1259,plain,
( ~ spl13_1
| spl13_153
| ~ spl13_8
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f555,f534,f375,f1257,f340]) ).
fof(f1257,plain,
( spl13_153
<=> ! [X0] :
( host(X0) != host(sK8)
| sK3 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_153])]) ).
fof(f534,plain,
( spl13_38
<=> ! [X13,X12] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_38])]) ).
fof(f555,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(X0,alive)
| ~ setIn(sK3,alive)
| sK3 = X0 )
| ~ spl13_8
| ~ spl13_38 ),
inference(superposition,[],[f535,f377]) ).
fof(f535,plain,
( ! [X12,X13] :
( host(X13) != host(X12)
| ~ setIn(X12,alive)
| ~ setIn(X13,alive)
| X12 = X13 )
| ~ spl13_38 ),
inference(avatar_component_clause,[],[f534]) ).
fof(f1250,plain,
( ~ spl13_3
| spl13_152
| ~ spl13_6
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f554,f534,f365,f1248,f350]) ).
fof(f554,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(X0,alive)
| ~ setIn(sK7,alive)
| sK7 = X0 )
| ~ spl13_6
| ~ spl13_38 ),
inference(superposition,[],[f535,f367]) ).
fof(f1242,plain,
( ~ spl13_2
| spl13_151
| ~ spl13_5
| ~ spl13_38 ),
inference(avatar_split_clause,[],[f553,f534,f360,f1240,f345]) ).
fof(f553,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(X0,alive)
| ~ setIn(sK5,alive)
| sK5 = X0 )
| ~ spl13_5
| ~ spl13_38 ),
inference(superposition,[],[f535,f362]) ).
fof(f1232,plain,
( ~ spl13_1
| spl13_150
| ~ spl13_8
| ~ spl13_37 ),
inference(avatar_split_clause,[],[f551,f530,f375,f1230,f340]) ).
fof(f530,plain,
( spl13_37
<=> ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_37])]) ).
fof(f551,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK3,alive)
| ~ leq(sK3,X0)
| setIn(X0,alive) )
| ~ spl13_8
| ~ spl13_37 ),
inference(superposition,[],[f531,f377]) ).
fof(f531,plain,
( ! [X14,X15] :
( host(X14) != host(X15)
| ~ setIn(X15,alive)
| ~ leq(X15,X14)
| setIn(X14,alive) )
| ~ spl13_37 ),
inference(avatar_component_clause,[],[f530]) ).
fof(f1222,plain,
( ~ spl13_3
| spl13_149
| ~ spl13_6
| ~ spl13_37 ),
inference(avatar_split_clause,[],[f550,f530,f365,f1220,f350]) ).
fof(f550,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ setIn(sK7,alive)
| ~ leq(sK7,X0)
| setIn(X0,alive) )
| ~ spl13_6
| ~ spl13_37 ),
inference(superposition,[],[f531,f367]) ).
fof(f1213,plain,
( ~ spl13_2
| spl13_148
| ~ spl13_5
| ~ spl13_37 ),
inference(avatar_split_clause,[],[f549,f530,f360,f1211,f345]) ).
fof(f549,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK5,alive)
| ~ leq(sK5,X0)
| setIn(X0,alive) )
| ~ spl13_5
| ~ spl13_37 ),
inference(superposition,[],[f531,f362]) ).
fof(f1209,plain,
( spl13_147
| ~ spl13_29
| ~ spl13_98 ),
inference(avatar_split_clause,[],[f855,f828,f494,f1207]) ).
fof(f1207,plain,
( spl13_147
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_147])]) ).
fof(f855,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl13_29
| ~ spl13_98 ),
inference(resolution,[],[f829,f495]) ).
fof(f1205,plain,
( spl13_146
| ~ spl13_45
| ~ spl13_85 ),
inference(avatar_split_clause,[],[f784,f762,f580,f1203]) ).
fof(f1203,plain,
( spl13_146
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_146])]) ).
fof(f580,plain,
( spl13_45
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_45])]) ).
fof(f784,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl13_45
| ~ spl13_85 ),
inference(resolution,[],[f763,f581]) ).
fof(f581,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl13_45 ),
inference(avatar_component_clause,[],[f580]) ).
fof(f1201,plain,
( ~ spl13_145
| spl13_50
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1096,f1093,f603,f1198]) ).
fof(f1198,plain,
( spl13_145
<=> elem(m_Down(sK7),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_145])]) ).
fof(f603,plain,
( spl13_50
<=> elem(m_Down(sK7),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_50])]) ).
fof(f1096,plain,
( ~ elem(m_Down(sK7),sK2)
| spl13_50
| ~ spl13_129 ),
inference(resolution,[],[f1094,f605]) ).
fof(f605,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| spl13_50 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f1182,plain,
( spl13_144
| ~ spl13_13
| ~ spl13_121 ),
inference(avatar_split_clause,[],[f1036,f1000,f402,f1180]) ).
fof(f402,plain,
( spl13_13
<=> cons(m_Down(sK4),sK2) = queue(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_13])]) ).
fof(f1036,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK8)))
| m_Down(sK4) = X0
| elem(X0,sK2) )
| ~ spl13_13
| ~ spl13_121 ),
inference(superposition,[],[f1001,f404]) ).
fof(f404,plain,
( cons(m_Down(sK4),sK2) = queue(host(sK8))
| ~ spl13_13 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f1178,plain,
( spl13_143
| ~ spl13_13
| ~ spl13_119 ),
inference(avatar_split_clause,[],[f1011,f992,f402,f1176]) ).
fof(f1011,plain,
( ! [X0] : cons(m_Down(sK4),snoc(sK2,X0)) = snoc(queue(host(sK8)),X0)
| ~ spl13_13
| ~ spl13_119 ),
inference(superposition,[],[f993,f404]) ).
fof(f1157,plain,
( spl13_142
| ~ spl13_8
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f446,f429,f375,f1155]) ).
fof(f1155,plain,
( spl13_142
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_142])]) ).
fof(f429,plain,
( spl13_18
<=> ! [X22,X21] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_18])]) ).
fof(f446,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK3),queue(host(X0))) )
| ~ spl13_8
| ~ spl13_18 ),
inference(superposition,[],[f430,f377]) ).
fof(f430,plain,
( ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
| ~ spl13_18 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f1153,plain,
( spl13_141
| ~ spl13_6
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f445,f429,f365,f1151]) ).
fof(f1151,plain,
( spl13_141
<=> ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_141])]) ).
fof(f445,plain,
( ! [X0] :
( host(X0) != host(sK8)
| ~ elem(m_Down(sK7),queue(host(X0))) )
| ~ spl13_6
| ~ spl13_18 ),
inference(superposition,[],[f430,f367]) ).
fof(f1149,plain,
( spl13_140
| ~ spl13_5
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f444,f429,f360,f1147]) ).
fof(f1147,plain,
( spl13_140
<=> ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_140])]) ).
fof(f444,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK5),queue(host(X0))) )
| ~ spl13_5
| ~ spl13_18 ),
inference(superposition,[],[f430,f362]) ).
fof(f1143,plain,
( spl13_139
| ~ spl13_8
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f972,f932,f375,f1141]) ).
fof(f972,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl13_8
| ~ spl13_112 ),
inference(superposition,[],[f933,f377]) ).
fof(f1139,plain,
( spl13_138
| ~ spl13_6
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f971,f932,f365,f1137]) ).
fof(f971,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(X0,pids) )
| ~ spl13_6
| ~ spl13_112 ),
inference(superposition,[],[f933,f367]) ).
fof(f1135,plain,
( spl13_137
| ~ spl13_5
| ~ spl13_112 ),
inference(avatar_split_clause,[],[f970,f932,f360,f1133]) ).
fof(f1133,plain,
( spl13_137
<=> ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_137])]) ).
fof(f970,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl13_5
| ~ spl13_112 ),
inference(superposition,[],[f933,f362]) ).
fof(f1131,plain,
( spl13_135
| spl13_136
| ~ spl13_8
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f969,f928,f375,f1129,f1125]) ).
fof(f1125,plain,
( spl13_135
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_135])]) ).
fof(f1129,plain,
( spl13_136
<=> ! [X0] : ~ elem(m_Ack(sK3,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_136])]) ).
fof(f969,plain,
( ! [X0] :
( ~ elem(m_Ack(sK3,X0),queue(host(sK8)))
| setIn(sK3,pids) )
| ~ spl13_8
| ~ spl13_111 ),
inference(superposition,[],[f929,f377]) ).
fof(f1123,plain,
( spl13_133
| spl13_134
| ~ spl13_6
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f968,f928,f365,f1121,f1117]) ).
fof(f1117,plain,
( spl13_133
<=> setIn(sK7,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_133])]) ).
fof(f1121,plain,
( spl13_134
<=> ! [X0] : ~ elem(m_Ack(sK7,X0),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_134])]) ).
fof(f968,plain,
( ! [X0] :
( ~ elem(m_Ack(sK7,X0),queue(host(sK8)))
| setIn(sK7,pids) )
| ~ spl13_6
| ~ spl13_111 ),
inference(superposition,[],[f929,f367]) ).
fof(f1115,plain,
( ~ spl13_132
| ~ spl13_34
| ~ spl13_129 ),
inference(avatar_split_clause,[],[f1097,f1093,f514,f1112]) ).
fof(f1112,plain,
( spl13_132
<=> elem(m_Down(sK8),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_132])]) ).
fof(f1097,plain,
( ~ elem(m_Down(sK8),sK2)
| ~ spl13_34
| ~ spl13_129 ),
inference(resolution,[],[f1094,f515]) ).
fof(f1110,plain,
( spl13_130
| spl13_131
| ~ spl13_5
| ~ spl13_111 ),
inference(avatar_split_clause,[],[f967,f928,f360,f1108,f1104]) ).
fof(f1104,plain,
( spl13_130
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_130])]) ).
fof(f1108,plain,
( spl13_131
<=> ! [X0] : ~ elem(m_Ack(sK5,X0),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_131])]) ).
fof(f967,plain,
( ! [X0] :
( ~ elem(m_Ack(sK5,X0),queue(host(sK6)))
| setIn(sK5,pids) )
| ~ spl13_5
| ~ spl13_111 ),
inference(superposition,[],[f929,f362]) ).
fof(f1095,plain,
( spl13_129
| ~ spl13_13
| ~ spl13_101 ),
inference(avatar_split_clause,[],[f860,f840,f402,f1093]) ).
fof(f860,plain,
( ! [X0] :
( elem(X0,queue(host(sK8)))
| ~ elem(X0,sK2) )
| ~ spl13_13
| ~ spl13_101 ),
inference(superposition,[],[f841,f404]) ).
fof(f1089,plain,
( spl13_128
| ~ spl13_13
| ~ spl13_68 ),
inference(avatar_split_clause,[],[f730,f683,f402,f1086]) ).
fof(f1086,plain,
( spl13_128
<=> m_Down(sK4) = head(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_128])]) ).
fof(f730,plain,
( m_Down(sK4) = head(queue(host(sK8)))
| ~ spl13_13
| ~ spl13_68 ),
inference(superposition,[],[f684,f404]) ).
fof(f1072,plain,
spl13_127,
inference(avatar_split_clause,[],[f277,f1070]) ).
fof(f277,plain,
! [X3,X0,X1] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f170,f171]) ).
fof(f171,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1)))
& pidElem(sK12(X0,X1))
& pidElem(X0)
& elem(sK12(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X3),pidMsg(X0))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f169]) ).
fof(f169,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X2),pidMsg(X0))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP1(X0,X1) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( sP1(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1068,plain,
spl13_126,
inference(avatar_split_clause,[],[f268,f1066]) ).
fof(f268,plain,
! [X3,X0,X1] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f164,f165]) ).
fof(f165,plain,
! [X0,X1] :
( ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> ( ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1)))
& pidElem(sK11(X0,X1))
& pidElem(X0)
& elem(sK11(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X3] :
( leq(pidMsg(X0),pidMsg(X3))
| host(pidMsg(X0)) != host(pidMsg(X3))
| ~ pidElem(X3)
| ~ pidElem(X0)
| ~ elem(X3,X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2] :
( ~ leq(pidMsg(X0),pidMsg(X2))
& host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) ) )
& ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
| ~ sP0(X0,X1) ) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0,X1] :
( sP0(X0,X1)
<=> ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1057,plain,
spl13_125,
inference(avatar_split_clause,[],[f300,f1055]) ).
fof(f300,plain,
! [X2,X0,X1] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0,X1,X2] :
( leq(X1,X2)
| ~ elem(m_Down(X2),X0)
| host(X2) != host(X1)
| ~ ordered(cons(m_Halt(X1),X0)) ),
inference(ennf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ( elem(m_Down(X2),X0)
& host(X2) = host(X1)
& ordered(cons(m_Halt(X1),X0)) )
=> leq(X1,X2) ),
inference(rectify,[],[f58]) ).
fof(f58,axiom,
! [X3,X4,X5] :
( ( elem(m_Down(X5),X3)
& host(X4) = host(X5)
& ordered(cons(m_Halt(X4),X3)) )
=> leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_57) ).
fof(f1049,plain,
spl13_124,
inference(avatar_split_clause,[],[f281,f1047]) ).
fof(f1047,plain,
( spl13_124
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_124])]) ).
fof(f281,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK12(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1045,plain,
spl13_123,
inference(avatar_split_clause,[],[f272,f1043]) ).
fof(f1043,plain,
( spl13_123
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_123])]) ).
fof(f272,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1041,plain,
spl13_122,
inference(avatar_split_clause,[],[f231,f1039]) ).
fof(f231,plain,
! [X0] :
( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK10(X0)) = X0
| m_Halt(sK10(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f154,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
| ~ pidElem(X0) ) ),
inference(rectify,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ( pidElem(X0)
| ! [X1] :
( m_Down(X1) != X0
& m_Halt(X1) != X0 ) )
& ( ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 )
| ~ pidElem(X0) ) ),
inference(nnf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0] :
( pidElem(X0)
<=> ? [X1] :
( m_Down(X1) = X0
| m_Halt(X1) = X0 ) ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X4] :
( pidElem(X4)
<=> ? [X5] :
( m_Down(X5) = X4
| m_Halt(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_48) ).
fof(f1002,plain,
spl13_121,
inference(avatar_split_clause,[],[f304,f1000]) ).
fof(f304,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f181]) ).
fof(f181,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X4,X5,X3] :
( elem(X4,cons(X5,X3))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_46) ).
fof(f998,plain,
spl13_120,
inference(avatar_split_clause,[],[f301,f996]) ).
fof(f301,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( elem(X0,snoc(X2,X1))
| ( ~ elem(X0,X2)
& X0 != X1 ) )
& ( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1,X2] :
( elem(X0,snoc(X2,X1))
<=> ( elem(X0,X2)
| X0 = X1 ) ),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X4,X5,X3] :
( elem(X4,snoc(X3,X5))
<=> ( elem(X4,X3)
| X4 = X5 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_47) ).
fof(f994,plain,
spl13_119,
inference(avatar_split_clause,[],[f297,f992]) ).
fof(f297,plain,
! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1,X2] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X4,X5,X3] : snoc(cons(X4,X3),X5) = cons(X4,snoc(X3,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).
fof(f990,plain,
spl13_118,
inference(avatar_split_clause,[],[f286,f988]) ).
fof(f286,plain,
! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(flattening,[],[f175]) ).
fof(f175,plain,
! [X0,X1] :
( ( leq(X0,s(X1))
| ( ~ leq(X0,X1)
& s(X1) != X0 ) )
& ( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0,X1] :
( leq(X0,s(X1))
<=> ( leq(X0,X1)
| s(X1) = X0 ) ),
inference(rectify,[],[f65]) ).
fof(f65,axiom,
! [X4,X5] :
( leq(X4,s(X5))
<=> ( leq(X4,X5)
| s(X5) = X4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_64) ).
fof(f986,plain,
spl13_117,
inference(avatar_split_clause,[],[f253,f984]) ).
fof(f984,plain,
( spl13_117
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_117])]) ).
fof(f253,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ),
inference(ennf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( host(X1) = s(host(X0))
=> host(X0) != host(X1) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2,X3] :
( s(host(X2)) = host(X3)
=> host(X2) != host(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_01) ).
fof(f950,plain,
spl13_116,
inference(avatar_split_clause,[],[f308,f948]) ).
fof(f948,plain,
( spl13_116
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_116])]) ).
fof(f308,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X7,X8,X9,X10] :
( X9 != X10
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_32) ).
fof(f946,plain,
spl13_115,
inference(avatar_split_clause,[],[f307,f944]) ).
fof(f944,plain,
( spl13_115
<=> ! [X0,X3,X2,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_115])]) ).
fof(f307,plain,
! [X2,X3,X0,X1] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X0,X2) != m_Ack(X1,X3)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X0,X2) != m_Ack(X1,X3) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
! [X7,X8,X9,X10] :
( X7 != X8
=> m_Ack(X7,X9) != m_Ack(X8,X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).
fof(f942,plain,
spl13_114,
inference(avatar_split_clause,[],[f282,f940]) ).
fof(f282,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK12(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f938,plain,
spl13_113,
inference(avatar_split_clause,[],[f273,f936]) ).
fof(f273,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK11(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f934,plain,
spl13_112,
inference(avatar_split_clause,[],[f255,f932]) ).
fof(f255,plain,
! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0,X1] :
( ( setIn(X1,pids)
& setIn(X0,pids) )
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( elem(m_Ack(X0,X1),queue(host(X0)))
=> ( setIn(X1,pids)
& setIn(X0,pids) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom) ).
fof(f930,plain,
spl13_111,
inference(avatar_split_clause,[],[f254,f928]) ).
fof(f254,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f926,plain,
spl13_110,
inference(avatar_split_clause,[],[f230,f924]) ).
fof(f230,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X3] :
( cons(head(X3),tail(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_39) ).
fof(f922,plain,
spl13_109,
inference(avatar_split_clause,[],[f229,f920]) ).
fof(f229,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(rectify,[],[f41]) ).
fof(f41,axiom,
! [X3] :
( snoc(init(X3),last(X3)) = X3
| q_nil = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_40) ).
fof(f896,plain,
spl13_108,
inference(avatar_split_clause,[],[f299,f894]) ).
fof(f299,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(flattening,[],[f136]) ).
fof(f136,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ),
inference(ennf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ),
inference(rectify,[],[f63]) ).
fof(f63,axiom,
! [X4,X5,X6] :
( ( leq(X5,X6)
& leq(X4,X5) )
=> leq(X4,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_62) ).
fof(f892,plain,
spl13_107,
inference(avatar_split_clause,[],[f289,f890]) ).
fof(f289,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(flattening,[],[f177]) ).
fof(f177,plain,
! [X0,X1] :
( ( ( leq(X1,X0)
& leq(X0,X1) )
| X0 != X1 )
& ( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1] :
( ( leq(X1,X0)
& leq(X0,X1) )
<=> X0 = X1 ),
inference(rectify,[],[f62]) ).
fof(f62,axiom,
! [X4,X5] :
( ( leq(X5,X4)
& leq(X4,X5) )
<=> X4 = X5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_61) ).
fof(f888,plain,
( spl13_105
| ~ spl13_106
| ~ spl13_13
| ~ spl13_73 ),
inference(avatar_split_clause,[],[f743,f703,f402,f885,f881]) ).
fof(f881,plain,
( spl13_105
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_105])]) ).
fof(f885,plain,
( spl13_106
<=> ordered(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_106])]) ).
fof(f743,plain,
( ~ ordered(queue(host(sK8)))
| ordered(sK2)
| ~ spl13_13
| ~ spl13_73 ),
inference(superposition,[],[f704,f404]) ).
fof(f879,plain,
spl13_104,
inference(avatar_split_clause,[],[f285,f877]) ).
fof(f285,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(flattening,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
& ( ( sP1(X0,X1)
& ordered(X1) )
| ~ ordered(snoc(X1,X0)) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( sP1(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f134,f144]) ).
fof(f134,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f133]) ).
fof(f133,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( leq(pidMsg(X2),pidMsg(X0))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ordered(snoc(X1,X0))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X2),pidMsg(X0)) )
& ordered(X1) ) ),
inference(rectify,[],[f55]) ).
fof(f55,axiom,
! [X4,X3] :
( ordered(snoc(X3,X4))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X5),pidMsg(X4)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_54) ).
fof(f875,plain,
spl13_103,
inference(avatar_split_clause,[],[f276,f873]) ).
fof(f276,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(flattening,[],[f167]) ).
fof(f167,plain,
! [X0,X1] :
( ( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
& ( ( sP0(X0,X1)
& ordered(X1) )
| ~ ordered(cons(X0,X1)) ) ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( sP0(X0,X1)
& ordered(X1) ) ),
inference(definition_folding,[],[f132,f142]) ).
fof(f132,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( leq(pidMsg(X0),pidMsg(X2))
| host(pidMsg(X2)) != host(pidMsg(X0))
| ~ pidElem(X2)
| ~ pidElem(X0)
| ~ elem(X2,X1) )
& ordered(X1) ) ),
inference(ennf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0,X1] :
( ordered(cons(X0,X1))
<=> ( ! [X2] :
( ( host(pidMsg(X2)) = host(pidMsg(X0))
& pidElem(X2)
& pidElem(X0)
& elem(X2,X1) )
=> leq(pidMsg(X0),pidMsg(X2)) )
& ordered(X1) ) ),
inference(rectify,[],[f54]) ).
fof(f54,axiom,
! [X4,X3] :
( ordered(cons(X4,X3))
<=> ( ! [X5] :
( ( host(pidMsg(X5)) = host(pidMsg(X4))
& pidElem(X5)
& pidElem(X4)
& elem(X5,X3) )
=> leq(pidMsg(X4),pidMsg(X5)) )
& ordered(X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_53) ).
fof(f864,plain,
spl13_102,
inference(avatar_split_clause,[],[f190,f862]) ).
fof(f190,plain,
! [X10,X11,X8,X9] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( elem(m_Down(sK8),queue(host(sK5)))
& elem(m_Down(sK6),sK2)
& host(sK7) = host(sK8)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7)
& host(sK3) = host(sK7)
& host(sK3) != host(sK5)
& ( elec_1 != index(status,host(sK3))
| ( host(sK4) != sK9
& ~ setIn(sK9,index(down,host(sK3)))
& leq(s(zero),sK9)
& ~ leq(host(sK3),sK9) ) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9])],[f146,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) = host(X5) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X7] :
( host(X2) != X7
& ~ setIn(X7,index(down,host(X1)))
& leq(s(zero),X7)
& ~ leq(host(X1),X7) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) )
=> ( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),sK2)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) = host(sK3) )
& host(X3) != host(sK3) )
& ( elec_1 != index(status,host(sK3))
| ? [X7] :
( host(sK4) != X7
& ~ setIn(X7,index(down,host(sK3)))
& leq(s(zero),X7)
& ~ leq(host(sK3),X7) ) )
& ( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) )
& ( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) )
& ~ leq(host(sK3),host(sK4))
& setIn(sK3,alive)
& queue(host(sK3)) = cons(m_Down(sK4),sK2)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X3] :
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),sK2)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X5) = host(sK3) )
& host(X3) != host(sK3) )
=> ( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(sK5)))
& elem(m_Down(X4),sK2)
& host(X5) = host(X6)
& host(X4) = host(sK5)
& setIn(X5,alive)
& setIn(sK5,alive)
& host(X5) != host(sK5) )
& host(X5) = host(sK3) )
& host(sK3) != host(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5,X4] :
( ? [X6] :
( elem(m_Down(X6),queue(host(sK5)))
& elem(m_Down(X4),sK2)
& host(X5) = host(X6)
& host(X4) = host(sK5)
& setIn(X5,alive)
& setIn(sK5,alive)
& host(X5) != host(sK5) )
& host(X5) = host(sK3) )
=> ( ? [X6] :
( elem(m_Down(X6),queue(host(sK5)))
& elem(m_Down(sK6),sK2)
& host(X6) = host(sK7)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) )
& host(sK3) = host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X6] :
( elem(m_Down(X6),queue(host(sK5)))
& elem(m_Down(sK6),sK2)
& host(X6) = host(sK7)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) )
=> ( elem(m_Down(sK8),queue(host(sK5)))
& elem(m_Down(sK6),sK2)
& host(sK7) = host(sK8)
& host(sK5) = host(sK6)
& setIn(sK7,alive)
& setIn(sK5,alive)
& host(sK5) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
( ? [X7] :
( host(sK4) != X7
& ~ setIn(X7,index(down,host(sK3)))
& leq(s(zero),X7)
& ~ leq(host(sK3),X7) )
=> ( host(sK4) != sK9
& ~ setIn(sK9,index(down,host(sK3)))
& leq(s(zero),sK9)
& ~ leq(host(sK3),sK9) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2] :
( ? [X3] :
( ? [X4,X5] :
( ? [X6] :
( elem(m_Down(X6),queue(host(X3)))
& elem(m_Down(X4),X0)
& host(X5) = host(X6)
& host(X3) = host(X4)
& setIn(X5,alive)
& setIn(X3,alive)
& host(X3) != host(X5) )
& host(X1) = host(X5) )
& host(X3) != host(X1) )
& ( elec_1 != index(status,host(X1))
| ? [X7] :
( host(X2) != X7
& ~ setIn(X7,index(down,host(X1)))
& leq(s(zero),X7)
& ~ leq(host(X1),X7) ) )
& ( host(X2) != host(index(elid,host(X1)))
| wait != index(status,host(X1)) )
& ( norm != index(status,host(X1))
| host(X2) != index(ldr,host(X1)) )
& ~ leq(host(X1),host(X2))
& setIn(X1,alive)
& queue(host(X1)) = cons(m_Down(X2),X0)
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X10)))
| ~ elem(m_Down(X11),queue(host(X8)))
| host(X10) != host(X11)
| host(X8) != host(X9)
| ~ setIn(X10,alive)
| ~ setIn(X8,alive)
| host(X8) = host(X10) )
& ! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 )
& ! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) )
& ! [X16,X17,X18] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) )
& ! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) )
& ! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) )
& ! [X23,X24] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) )
& ! [X25,X26] :
( ~ elem(m_Down(X26),queue(host(X25)))
| ~ setIn(X26,alive) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& ( elec_1 != index(status,host(X2))
| ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& leq(s(zero),X23)
& ~ leq(host(X2),X23) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X2,X3] :
( ? [X24] :
( ? [X25,X26] :
( ? [X27] :
( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0)
& host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
& host(X2) = host(X26) )
& host(X2) != host(X24) )
& ( elec_1 != index(status,host(X2))
| ? [X23] :
( host(X3) != X23
& ~ setIn(X23,index(down,host(X2)))
& leq(s(zero),X23)
& ~ leq(host(X2),X23) ) )
& ( host(X3) != host(index(elid,host(X2)))
| wait != index(status,host(X2)) )
& ( norm != index(status,host(X2))
| host(X3) != index(ldr,host(X2)) )
& ~ leq(host(X2),host(X3))
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ~ elem(m_Down(X5),queue(host(X6)))
| ~ elem(m_Down(X7),queue(host(X4)))
| host(X6) != host(X7)
| host(X4) != host(X5)
| ~ setIn(X6,alive)
| ~ setIn(X4,alive)
| host(X4) = host(X6) )
& ! [X8,X9] :
( ~ setIn(X9,alive)
| ~ setIn(X8,alive)
| host(X8) != host(X9)
| X8 = X9 )
& ! [X10,X11] :
( ~ setIn(X11,alive)
| host(X10) != host(X11)
| ~ leq(X11,X10)
| setIn(X10,alive) )
& ! [X12,X13,X14] :
( ~ leq(host(X12),host(X14))
| ~ elem(m_Ack(X14,X12),queue(host(X13))) )
& ! [X15,X16] :
( ~ leq(host(X15),host(X16))
| ~ elem(m_Halt(X16),queue(host(X15))) )
& ! [X17,X18] :
( host(X17) != host(X18)
| ~ elem(m_Down(X18),queue(host(X17))) )
& ! [X19,X20] :
( ~ setIn(X20,alive)
| ~ elem(m_Down(X20),queue(host(X19))) )
& ! [X21,X22] :
( ~ elem(m_Down(X22),queue(host(X21)))
| ~ setIn(X22,alive) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X2,X3] :
( ( queue(host(X2)) = cons(m_Down(X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = host(X7)
& host(X4) = host(X5)
& setIn(X6,alive)
& setIn(X4,alive)
& host(X4) != host(X6) )
=> ~ ( elem(m_Down(X5),queue(host(X6)))
& elem(m_Down(X7),queue(host(X4))) ) )
& ! [X8,X9] :
( ( host(X8) = host(X9)
& X8 != X9 )
=> ( ~ setIn(X9,alive)
| ~ setIn(X8,alive) ) )
& ! [X10,X11] :
( ( host(X10) = host(X11)
& leq(X11,X10)
& ~ setIn(X10,alive) )
=> ~ setIn(X11,alive) )
& ! [X12,X13,X14] :
( elem(m_Ack(X14,X12),queue(host(X13)))
=> ~ leq(host(X12),host(X14)) )
& ! [X15,X16] :
( elem(m_Halt(X16),queue(host(X15)))
=> ~ leq(host(X15),host(X16)) )
& ! [X17,X18] :
( elem(m_Down(X18),queue(host(X17)))
=> host(X17) != host(X18) )
& ! [X19,X20] :
( elem(m_Down(X20),queue(host(X19)))
=> ~ setIn(X20,alive) )
& ! [X21,X22] :
( setIn(X22,alive)
=> ~ elem(m_Down(X22),queue(host(X21))) ) )
=> ( setIn(X2,alive)
=> ( ~ leq(host(X2),host(X3))
=> ( ~ ( ( host(X3) = host(index(elid,host(X2)))
& wait = index(status,host(X2)) )
| ( norm = index(status,host(X2))
& host(X3) = index(ldr,host(X2)) ) )
=> ( ~ ( elec_1 = index(status,host(X2))
& ! [X23] :
( ( leq(s(zero),X23)
& ~ leq(host(X2),X23) )
=> ( host(X3) = X23
| setIn(X23,index(down,host(X2))) ) ) )
=> ! [X24] :
( host(X2) != host(X24)
=> ! [X25,X26] :
( host(X2) = host(X26)
=> ! [X27] :
( ( host(X26) = host(X27)
& host(X24) = host(X25)
& setIn(X26,alive)
& setIn(X24,alive)
& host(X24) != host(X26) )
=> ~ ( elem(m_Down(X27),queue(host(X24)))
& elem(m_Down(X25),X0) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Down(X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X13) = host(X14)
& host(X6) = host(X15)
& setIn(X14,alive)
& setIn(X6,alive)
& host(X6) != host(X14) )
=> ~ ( elem(m_Down(X15),queue(host(X14)))
& elem(m_Down(X13),queue(host(X6))) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,alive) ) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& leq(X13,X6)
& ~ setIn(X6,alive) )
=> ~ setIn(X13,alive) )
& ! [X6,X14,X13] :
( elem(m_Ack(X13,X6),queue(host(X14)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Halt(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> host(X6) != host(X13) )
& ! [X6,X13] :
( elem(m_Down(X13),queue(host(X6)))
=> ~ setIn(X13,alive) )
& ! [X6,X13] :
( setIn(X13,alive)
=> ~ elem(m_Down(X13),queue(host(X6))) ) )
=> ( setIn(X4,alive)
=> ( ~ leq(host(X4),host(X5))
=> ( ~ ( ( host(X5) = host(index(elid,host(X4)))
& wait = index(status,host(X4)) )
| ( norm = index(status,host(X4))
& host(X5) = index(ldr,host(X4)) ) )
=> ( ~ ( elec_1 = index(status,host(X4))
& ! [X6] :
( ( leq(s(zero),X6)
& ~ leq(host(X4),X6) )
=> ( host(X5) = X6
| setIn(X6,index(down,host(X4))) ) ) )
=> ! [X6] :
( host(X4) != host(X6)
=> ! [X16,X17] :
( host(X4) = host(X17)
=> ! [X18] :
( ( host(X17) = host(X18)
& host(X6) = host(X16)
& setIn(X17,alive)
& setIn(X6,alive)
& host(X6) != host(X17) )
=> ~ ( elem(m_Down(X18),queue(host(X6)))
& elem(m_Down(X16),X11) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f842,plain,
spl13_101,
inference(avatar_split_clause,[],[f306,f840]) ).
fof(f306,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f838,plain,
spl13_100,
inference(avatar_split_clause,[],[f303,f836]) ).
fof(f303,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f834,plain,
spl13_99,
inference(avatar_split_clause,[],[f298,f832]) ).
fof(f298,plain,
! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ordered(X0)
=> ordered(snoc(X0,m_Ack(X1,X2))) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( ordered(X3)
=> ordered(snoc(X3,m_Ack(X4,X5))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_55) ).
fof(f830,plain,
spl13_98,
inference(avatar_split_clause,[],[f278,f828]) ).
fof(f278,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK12(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f826,plain,
( ~ spl13_97
| ~ spl13_15
| ~ spl13_80 ),
inference(avatar_split_clause,[],[f786,f733,f412,f823]) ).
fof(f823,plain,
( spl13_97
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_97])]) ).
fof(f733,plain,
( spl13_80
<=> elem(m_Down(sK4),queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_80])]) ).
fof(f786,plain,
( ~ setIn(sK4,alive)
| ~ spl13_15
| ~ spl13_80 ),
inference(resolution,[],[f735,f413]) ).
fof(f735,plain,
( elem(m_Down(sK4),queue(host(sK8)))
| ~ spl13_80 ),
inference(avatar_component_clause,[],[f733]) ).
fof(f821,plain,
spl13_96,
inference(avatar_split_clause,[],[f269,f819]) ).
fof(f269,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK11(X0,X1),X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f817,plain,
spl13_95,
inference(avatar_split_clause,[],[f267,f815]) ).
fof(f267,plain,
! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( ( leq(X0,X1)
| ~ leq(s(X0),s(X1)) )
& ( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1] :
( leq(X0,X1)
<=> leq(s(X0),s(X1)) ),
inference(rectify,[],[f64]) ).
fof(f64,axiom,
! [X4,X5] :
( leq(X4,X5)
<=> leq(s(X4),s(X5)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_63) ).
fof(f813,plain,
spl13_94,
inference(avatar_split_clause,[],[f266,f811]) ).
fof(f266,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f809,plain,
spl13_93,
inference(avatar_split_clause,[],[f264,f807]) ).
fof(f807,plain,
( spl13_93
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_93])]) ).
fof(f264,plain,
! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( ( X0 != X1
| m_Down(X0) = m_Down(X1) )
& ( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( X0 != X1
<=> m_Down(X0) != m_Down(X1) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Down(X4) != m_Down(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_30) ).
fof(f805,plain,
spl13_92,
inference(avatar_split_clause,[],[f262,f803]) ).
fof(f803,plain,
( spl13_92
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_92])]) ).
fof(f262,plain,
! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( ( X0 != X1
| m_Halt(X0) = m_Halt(X1) )
& ( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( X0 != X1
<=> m_Halt(X0) != m_Halt(X1) ),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Halt(X5) != m_Halt(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_26) ).
fof(f801,plain,
spl13_91,
inference(avatar_split_clause,[],[f260,f799]) ).
fof(f799,plain,
( spl13_91
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_91])]) ).
fof(f260,plain,
! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f159]) ).
fof(f159,plain,
! [X0,X1] :
( ( X0 != X1
| m_Ldr(X0) = m_Ldr(X1) )
& ( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( X0 != X1
<=> m_Ldr(X0) != m_Ldr(X1) ),
inference(rectify,[],[f30]) ).
fof(f30,axiom,
! [X4,X5] :
( X4 != X5
<=> m_Ldr(X5) != m_Ldr(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_29) ).
fof(f797,plain,
spl13_90,
inference(avatar_split_clause,[],[f258,f795]) ).
fof(f795,plain,
( spl13_90
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_90])]) ).
fof(f258,plain,
! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f158]) ).
fof(f158,plain,
! [X0,X1] :
( ( X0 != X1
| m_NormQ(X0) = m_NormQ(X1) )
& ( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( X0 != X1
<=> m_NormQ(X0) != m_NormQ(X1) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NormQ(X5) != m_NormQ(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_27) ).
fof(f793,plain,
spl13_89,
inference(avatar_split_clause,[],[f256,f791]) ).
fof(f791,plain,
( spl13_89
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_89])]) ).
fof(f256,plain,
! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1] :
( ( X0 != X1
| m_NotNorm(X1) = m_NotNorm(X0) )
& ( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
inference(nnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0,X1] :
( X0 != X1
<=> m_NotNorm(X1) != m_NotNorm(X0) ),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X4,X5] :
( X4 != X5
<=> m_NotNorm(X4) != m_NotNorm(X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_28) ).
fof(f776,plain,
spl13_88,
inference(avatar_split_clause,[],[f288,f774]) ).
fof(f288,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f772,plain,
spl13_87,
inference(avatar_split_clause,[],[f284,f770]) ).
fof(f284,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f768,plain,
spl13_86,
inference(avatar_split_clause,[],[f280,f766]) ).
fof(f280,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK12(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f764,plain,
spl13_85,
inference(avatar_split_clause,[],[f275,f762]) ).
fof(f275,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f760,plain,
spl13_84,
inference(avatar_split_clause,[],[f271,f758]) ).
fof(f271,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK11(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f756,plain,
( spl13_83
| ~ spl13_13
| ~ spl13_69 ),
inference(avatar_split_clause,[],[f731,f687,f402,f753]) ).
fof(f753,plain,
( spl13_83
<=> sK2 = tail(queue(host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_83])]) ).
fof(f731,plain,
( sK2 = tail(queue(host(sK8)))
| ~ spl13_13
| ~ spl13_69 ),
inference(superposition,[],[f688,f404]) ).
fof(f751,plain,
spl13_82,
inference(avatar_split_clause,[],[f251,f749]) ).
fof(f251,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ),
inference(ennf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ordered(X0)
=> ordered(snoc(X0,m_Ldr(X1))) ),
inference(rectify,[],[f57]) ).
fof(f57,axiom,
! [X3,X4] :
( ordered(X3)
=> ordered(snoc(X3,m_Ldr(X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_56) ).
fof(f747,plain,
spl13_81,
inference(avatar_split_clause,[],[f226,f745]) ).
fof(f226,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0] : cons(X0,q_nil) = snoc(q_nil,X0),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X4] : cons(X4,q_nil) = snoc(q_nil,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_43) ).
fof(f736,plain,
( spl13_80
| ~ spl13_13
| ~ spl13_66 ),
inference(avatar_split_clause,[],[f681,f669,f402,f733]) ).
fof(f681,plain,
( elem(m_Down(sK4),queue(host(sK8)))
| ~ spl13_13
| ~ spl13_66 ),
inference(superposition,[],[f670,f404]) ).
fof(f729,plain,
spl13_79,
inference(avatar_split_clause,[],[f296,f727]) ).
fof(f727,plain,
( spl13_79
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_79])]) ).
fof(f296,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Down(X2),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Down(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f725,plain,
spl13_78,
inference(avatar_split_clause,[],[f295,f723]) ).
fof(f723,plain,
( spl13_78
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_78])]) ).
fof(f295,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Halt(X2),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Halt(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f721,plain,
spl13_77,
inference(avatar_split_clause,[],[f294,f719]) ).
fof(f719,plain,
( spl13_77
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_77])]) ).
fof(f294,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_Ldr(X2),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_Ldr(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).
fof(f717,plain,
spl13_76,
inference(avatar_split_clause,[],[f293,f715]) ).
fof(f715,plain,
( spl13_76
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_76])]) ).
fof(f293,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NotNorm(X2),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NotNorm(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f713,plain,
spl13_75,
inference(avatar_split_clause,[],[f292,f711]) ).
fof(f711,plain,
( spl13_75
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_75])]) ).
fof(f292,plain,
! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0,X1,X2] : m_Ack(X0,X1) != m_NormQ(X2),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X4,X5,X6] : m_Ack(X4,X5) != m_NormQ(X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_15) ).
fof(f709,plain,
spl13_74,
inference(avatar_split_clause,[],[f283,f707]) ).
fof(f283,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f705,plain,
spl13_73,
inference(avatar_split_clause,[],[f274,f703]) ).
fof(f274,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f701,plain,
spl13_72,
inference(avatar_split_clause,[],[f250,f699]) ).
fof(f250,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ),
inference(rectify,[],[f61]) ).
fof(f61,axiom,
! [X4,X5] :
( leq(X5,X4)
| leq(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_60) ).
fof(f697,plain,
spl13_71,
inference(avatar_split_clause,[],[f249,f695]) ).
fof(f249,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] : init(snoc(X1,X0)) = X1,
inference(rectify,[],[f39]) ).
fof(f39,axiom,
! [X5,X3] : init(snoc(X3,X5)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_38) ).
fof(f693,plain,
spl13_70,
inference(avatar_split_clause,[],[f248,f691]) ).
fof(f248,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
! [X0,X1] : last(snoc(X1,X0)) = X0,
inference(rectify,[],[f38]) ).
fof(f38,axiom,
! [X5,X3] : last(snoc(X3,X5)) = X5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_37) ).
fof(f689,plain,
spl13_69,
inference(avatar_split_clause,[],[f247,f687]) ).
fof(f247,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
! [X0,X1] : tail(cons(X0,X1)) = X1,
inference(rectify,[],[f37]) ).
fof(f37,axiom,
! [X4,X3] : tail(cons(X4,X3)) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_36) ).
fof(f685,plain,
spl13_68,
inference(avatar_split_clause,[],[f246,f683]) ).
fof(f246,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] : head(cons(X0,X1)) = X0,
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X4,X3] : head(cons(X4,X3)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_35) ).
fof(f680,plain,
( ~ spl13_67
| ~ spl13_13
| ~ spl13_62 ),
inference(avatar_split_clause,[],[f675,f653,f402,f677]) ).
fof(f653,plain,
( spl13_62
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_62])]) ).
fof(f675,plain,
( q_nil != queue(host(sK8))
| ~ spl13_13
| ~ spl13_62 ),
inference(superposition,[],[f654,f404]) ).
fof(f654,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl13_62 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f671,plain,
spl13_66,
inference(avatar_split_clause,[],[f321,f669]) ).
fof(f321,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f305]) ).
fof(f305,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f667,plain,
spl13_65,
inference(avatar_split_clause,[],[f320,f665]) ).
fof(f320,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f302]) ).
fof(f302,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f663,plain,
spl13_64,
inference(avatar_split_clause,[],[f279,f661]) ).
fof(f279,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f659,plain,
spl13_63,
inference(avatar_split_clause,[],[f270,f657]) ).
fof(f270,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f655,plain,
spl13_62,
inference(avatar_split_clause,[],[f245,f653]) ).
fof(f245,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X4,X3] : cons(X4,X3) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_41) ).
fof(f651,plain,
( ~ spl13_61
| ~ spl13_8
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f528,f514,f375,f648]) ).
fof(f528,plain,
( ~ elem(m_Down(sK3),queue(host(sK8)))
| ~ spl13_8
| ~ spl13_34 ),
inference(superposition,[],[f515,f377]) ).
fof(f646,plain,
spl13_60,
inference(avatar_split_clause,[],[f244,f644]) ).
fof(f644,plain,
( spl13_60
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_60])]) ).
fof(f244,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(rectify,[],[f43]) ).
fof(f43,axiom,
! [X5,X3] : snoc(X3,X5) != q_nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).
fof(f642,plain,
spl13_59,
inference(avatar_split_clause,[],[f243,f640]) ).
fof(f640,plain,
( spl13_59
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_59])]) ).
fof(f243,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
! [X0,X1] : m_Down(X0) != m_Ldr(X1),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X4,X5] : m_Down(X4) != m_Ldr(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_18) ).
fof(f638,plain,
spl13_58,
inference(avatar_split_clause,[],[f242,f636]) ).
fof(f636,plain,
( spl13_58
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_58])]) ).
fof(f242,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0,X1] : m_Down(X0) != m_NormQ(X1),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X4,X5] : m_Down(X4) != m_NormQ(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).
fof(f634,plain,
spl13_57,
inference(avatar_split_clause,[],[f241,f632]) ).
fof(f632,plain,
( spl13_57
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_57])]) ).
fof(f241,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
! [X0,X1] : m_Down(X0) != m_NotNorm(X1),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X4,X5] : m_Down(X4) != m_NotNorm(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_19) ).
fof(f630,plain,
spl13_56,
inference(avatar_split_clause,[],[f240,f628]) ).
fof(f240,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] : m_Down(X0) != m_Halt(X1),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X4,X5] : m_Halt(X5) != m_Down(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).
fof(f626,plain,
spl13_55,
inference(avatar_split_clause,[],[f239,f624]) ).
fof(f624,plain,
( spl13_55
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_55])]) ).
fof(f239,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
! [X0,X1] : m_Halt(X1) != m_Ldr(X0),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X4,X5] : m_Halt(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).
fof(f622,plain,
spl13_54,
inference(avatar_split_clause,[],[f238,f620]) ).
fof(f620,plain,
( spl13_54
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_54])]) ).
fof(f238,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
! [X0,X1] : m_Halt(X1) != m_NormQ(X0),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X4,X5] : m_Halt(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_21) ).
fof(f618,plain,
spl13_53,
inference(avatar_split_clause,[],[f237,f616]) ).
fof(f616,plain,
( spl13_53
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_53])]) ).
fof(f237,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0,X1] : m_Halt(X1) != m_NotNorm(X0),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X4,X5] : m_NotNorm(X4) != m_Halt(X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_16) ).
fof(f614,plain,
spl13_52,
inference(avatar_split_clause,[],[f236,f612]) ).
fof(f612,plain,
( spl13_52
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_52])]) ).
fof(f236,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1] : m_Ldr(X0) != m_NormQ(X1),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X4,X5] : m_NormQ(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).
fof(f610,plain,
spl13_51,
inference(avatar_split_clause,[],[f235,f608]) ).
fof(f608,plain,
( spl13_51
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_51])]) ).
fof(f235,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X4,X5] : m_NotNorm(X5) != m_Ldr(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_24) ).
fof(f606,plain,
( ~ spl13_50
| ~ spl13_6
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f527,f514,f365,f603]) ).
fof(f527,plain,
( ~ elem(m_Down(sK7),queue(host(sK8)))
| ~ spl13_6
| ~ spl13_34 ),
inference(superposition,[],[f515,f367]) ).
fof(f601,plain,
spl13_49,
inference(avatar_split_clause,[],[f234,f599]) ).
fof(f599,plain,
( spl13_49
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_49])]) ).
fof(f234,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X4,X5] : m_NotNorm(X5) != m_NormQ(X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_25) ).
fof(f597,plain,
spl13_48,
inference(avatar_split_clause,[],[f225,f595]) ).
fof(f225,plain,
! [X0] : leq(s(zero),host(X0)),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0] : leq(s(zero),host(X0)),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X2] : leq(s(zero),host(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_02) ).
fof(f593,plain,
spl13_47,
inference(avatar_split_clause,[],[f224,f591]) ).
fof(f224,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] : pidMsg(m_Down(X0)) = X0,
inference(rectify,[],[f51]) ).
fof(f51,axiom,
! [X4] : pidMsg(m_Down(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_50) ).
fof(f589,plain,
spl13_46,
inference(avatar_split_clause,[],[f223,f587]) ).
fof(f223,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0] : pidMsg(m_Halt(X0)) = X0,
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X4] : pidMsg(m_Halt(X4)) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).
fof(f582,plain,
spl13_45,
inference(avatar_split_clause,[],[f338,f580]) ).
fof(f338,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f228,f226]) ).
fof(f228,plain,
! [X0] : ordered(snoc(q_nil,X0)),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0] :
( ordered(snoc(q_nil,X0))
& ordered(cons(X0,q_nil)) ),
inference(rectify,[],[f53]) ).
fof(f53,axiom,
! [X4] :
( ordered(snoc(q_nil,X4))
& ordered(cons(X4,q_nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_52) ).
fof(f578,plain,
spl13_44,
inference(avatar_split_clause,[],[f222,f576]) ).
fof(f222,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] : leq(host(X0),nbr_proc),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X2] : leq(host(X2),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_04) ).
fof(f574,plain,
( ~ spl13_43
| ~ spl13_5
| ~ spl13_34 ),
inference(avatar_split_clause,[],[f526,f514,f360,f571]) ).
fof(f571,plain,
( spl13_43
<=> elem(m_Down(sK5),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_43])]) ).
fof(f526,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl13_5
| ~ spl13_34 ),
inference(superposition,[],[f515,f362]) ).
fof(f569,plain,
spl13_42,
inference(avatar_split_clause,[],[f221,f567]) ).
fof(f221,plain,
! [X0] : ~ leq(s(X0),X0),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0] : ~ leq(s(X0),X0),
inference(rectify,[],[f59]) ).
fof(f59,axiom,
! [X4] : ~ leq(s(X4),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_58) ).
fof(f565,plain,
spl13_41,
inference(avatar_split_clause,[],[f217,f562]) ).
fof(f217,plain,
leq(s(zero),nbr_proc),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
leq(s(zero),nbr_proc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_03) ).
fof(f545,plain,
( ~ spl13_39
| ~ spl13_40 ),
inference(avatar_split_clause,[],[f333,f542,f538]) ).
fof(f538,plain,
( spl13_39
<=> host(sK4) = host(index(elid,host(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_39])]) ).
fof(f542,plain,
( spl13_40
<=> wait = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_40])]) ).
fof(f333,plain,
( wait != index(status,host(sK8))
| host(sK4) != host(index(elid,host(sK8))) ),
inference(forward_demodulation,[],[f332,f324]) ).
fof(f324,plain,
host(sK3) = host(sK8),
inference(forward_demodulation,[],[f201,f206]) ).
fof(f206,plain,
host(sK7) = host(sK8),
inference(cnf_transformation,[],[f152]) ).
fof(f201,plain,
host(sK3) = host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f332,plain,
( host(sK4) != host(index(elid,host(sK8)))
| wait != index(status,host(sK3)) ),
inference(forward_demodulation,[],[f195,f324]) ).
fof(f195,plain,
( host(sK4) != host(index(elid,host(sK3)))
| wait != index(status,host(sK3)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f536,plain,
spl13_38,
inference(avatar_split_clause,[],[f189,f534]) ).
fof(f189,plain,
! [X12,X13] :
( ~ setIn(X13,alive)
| ~ setIn(X12,alive)
| host(X13) != host(X12)
| X12 = X13 ),
inference(cnf_transformation,[],[f152]) ).
fof(f532,plain,
spl13_37,
inference(avatar_split_clause,[],[f188,f530]) ).
fof(f188,plain,
! [X14,X15] :
( ~ setIn(X15,alive)
| host(X14) != host(X15)
| ~ leq(X15,X14)
| setIn(X14,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f525,plain,
( ~ spl13_35
| ~ spl13_36 ),
inference(avatar_split_clause,[],[f335,f522,f518]) ).
fof(f518,plain,
( spl13_35
<=> norm = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_35])]) ).
fof(f522,plain,
( spl13_36
<=> host(sK4) = index(ldr,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_36])]) ).
fof(f335,plain,
( host(sK4) != index(ldr,host(sK8))
| norm != index(status,host(sK8)) ),
inference(forward_demodulation,[],[f334,f324]) ).
fof(f334,plain,
( norm != index(status,host(sK8))
| host(sK4) != index(ldr,host(sK3)) ),
inference(forward_demodulation,[],[f194,f324]) ).
fof(f194,plain,
( norm != index(status,host(sK3))
| host(sK4) != index(ldr,host(sK3)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f516,plain,
( spl13_34
| ~ spl13_18 ),
inference(avatar_split_clause,[],[f447,f429,f514]) ).
fof(f447,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl13_18 ),
inference(equality_resolution,[],[f430]) ).
fof(f512,plain,
spl13_33,
inference(avatar_split_clause,[],[f310,f510]) ).
fof(f310,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f232]) ).
fof(f232,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f508,plain,
spl13_32,
inference(avatar_split_clause,[],[f309,f506]) ).
fof(f309,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f233]) ).
fof(f233,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f504,plain,
spl13_31,
inference(avatar_split_clause,[],[f220,f502]) ).
fof(f220,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0] : leq(X0,X0),
inference(rectify,[],[f60]) ).
fof(f60,axiom,
! [X4] : leq(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_59) ).
fof(f500,plain,
spl13_30,
inference(avatar_split_clause,[],[f219,f498]) ).
fof(f498,plain,
( spl13_30
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_30])]) ).
fof(f219,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
! [X0] : ~ setIn(X0,setEmpty),
inference(rectify,[],[f66]) ).
fof(f66,axiom,
! [X4] : ~ setIn(X4,setEmpty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_65) ).
fof(f496,plain,
spl13_29,
inference(avatar_split_clause,[],[f218,f494]) ).
fof(f218,plain,
! [X0] : ~ elem(X0,q_nil),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] : ~ elem(X0,q_nil),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X4] : ~ elem(X4,q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_45) ).
fof(f492,plain,
~ spl13_28,
inference(avatar_split_clause,[],[f216,f489]) ).
fof(f489,plain,
( spl13_28
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_28])]) ).
fof(f216,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f487,plain,
~ spl13_27,
inference(avatar_split_clause,[],[f215,f484]) ).
fof(f484,plain,
( spl13_27
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_27])]) ).
fof(f215,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f482,plain,
~ spl13_26,
inference(avatar_split_clause,[],[f214,f479]) ).
fof(f479,plain,
( spl13_26
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_26])]) ).
fof(f214,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f477,plain,
~ spl13_25,
inference(avatar_split_clause,[],[f213,f474]) ).
fof(f474,plain,
( spl13_25
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_25])]) ).
fof(f213,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f472,plain,
~ spl13_24,
inference(avatar_split_clause,[],[f212,f469]) ).
fof(f469,plain,
( spl13_24
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_24])]) ).
fof(f212,plain,
elec_1 != elec_2,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
elec_1 != elec_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_05) ).
fof(f467,plain,
~ spl13_23,
inference(avatar_split_clause,[],[f211,f464]) ).
fof(f464,plain,
( spl13_23
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl13_23])]) ).
fof(f211,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f462,plain,
~ spl13_22,
inference(avatar_split_clause,[],[f210,f459]) ).
fof(f459,plain,
( spl13_22
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl13_22])]) ).
fof(f210,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f454,plain,
spl13_21,
inference(avatar_split_clause,[],[f187,f452]) ).
fof(f187,plain,
! [X18,X16,X17] :
( ~ leq(host(X16),host(X18))
| ~ elem(m_Ack(X18,X16),queue(host(X17))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f440,plain,
( ~ spl13_20
| ~ spl13_12
| ~ spl13_15 ),
inference(avatar_split_clause,[],[f415,f412,f397,f437]) ).
fof(f415,plain,
( ~ setIn(sK8,alive)
| ~ spl13_12
| ~ spl13_15 ),
inference(resolution,[],[f413,f399]) ).
fof(f399,plain,
( elem(m_Down(sK8),queue(host(sK6)))
| ~ spl13_12 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f435,plain,
spl13_19,
inference(avatar_split_clause,[],[f186,f433]) ).
fof(f186,plain,
! [X19,X20] :
( ~ leq(host(X19),host(X20))
| ~ elem(m_Halt(X20),queue(host(X19))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f431,plain,
spl13_18,
inference(avatar_split_clause,[],[f185,f429]) ).
fof(f185,plain,
! [X21,X22] :
( host(X21) != host(X22)
| ~ elem(m_Down(X22),queue(host(X21))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f427,plain,
( ~ spl13_16
| ~ spl13_17 ),
inference(avatar_split_clause,[],[f326,f424,f420]) ).
fof(f420,plain,
( spl13_16
<=> host(sK4) = sK9 ),
introduced(avatar_definition,[new_symbols(naming,[spl13_16])]) ).
fof(f424,plain,
( spl13_17
<=> elec_1 = index(status,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_17])]) ).
fof(f326,plain,
( elec_1 != index(status,host(sK8))
| host(sK4) != sK9 ),
inference(forward_demodulation,[],[f199,f324]) ).
fof(f199,plain,
( elec_1 != index(status,host(sK3))
| host(sK4) != sK9 ),
inference(cnf_transformation,[],[f152]) ).
fof(f414,plain,
spl13_15,
inference(avatar_split_clause,[],[f184,f412]) ).
fof(f184,plain,
! [X24,X23] :
( ~ setIn(X24,alive)
| ~ elem(m_Down(X24),queue(host(X23))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f410,plain,
spl13_14,
inference(avatar_split_clause,[],[f209,f407]) ).
fof(f407,plain,
( spl13_14
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_14])]) ).
fof(f209,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f405,plain,
spl13_13,
inference(avatar_split_clause,[],[f337,f402]) ).
fof(f337,plain,
cons(m_Down(sK4),sK2) = queue(host(sK8)),
inference(forward_demodulation,[],[f191,f324]) ).
fof(f191,plain,
queue(host(sK3)) = cons(m_Down(sK4),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f400,plain,
( spl13_12
| ~ spl13_5
| ~ spl13_11 ),
inference(avatar_split_clause,[],[f395,f391,f360,f397]) ).
fof(f391,plain,
( spl13_11
<=> elem(m_Down(sK8),queue(host(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl13_11])]) ).
fof(f395,plain,
( elem(m_Down(sK8),queue(host(sK6)))
| ~ spl13_5
| ~ spl13_11 ),
inference(forward_demodulation,[],[f393,f362]) ).
fof(f393,plain,
( elem(m_Down(sK8),queue(host(sK5)))
| ~ spl13_11 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f394,plain,
spl13_11,
inference(avatar_split_clause,[],[f208,f391]) ).
fof(f208,plain,
elem(m_Down(sK8),queue(host(sK5))),
inference(cnf_transformation,[],[f152]) ).
fof(f388,plain,
~ spl13_10,
inference(avatar_split_clause,[],[f336,f385]) ).
fof(f336,plain,
~ leq(host(sK8),host(sK4)),
inference(forward_demodulation,[],[f193,f324]) ).
fof(f193,plain,
~ leq(host(sK3),host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f383,plain,
~ spl13_9,
inference(avatar_split_clause,[],[f325,f380]) ).
fof(f325,plain,
host(sK3) != host(sK6),
inference(forward_demodulation,[],[f200,f205]) ).
fof(f205,plain,
host(sK5) = host(sK6),
inference(cnf_transformation,[],[f152]) ).
fof(f200,plain,
host(sK3) != host(sK5),
inference(cnf_transformation,[],[f152]) ).
fof(f378,plain,
spl13_8,
inference(avatar_split_clause,[],[f324,f375]) ).
fof(f373,plain,
~ spl13_7,
inference(avatar_split_clause,[],[f323,f370]) ).
fof(f323,plain,
host(sK6) != host(sK8),
inference(forward_demodulation,[],[f322,f205]) ).
fof(f322,plain,
host(sK5) != host(sK8),
inference(forward_demodulation,[],[f202,f206]) ).
fof(f202,plain,
host(sK5) != host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f368,plain,
spl13_6,
inference(avatar_split_clause,[],[f206,f365]) ).
fof(f363,plain,
spl13_5,
inference(avatar_split_clause,[],[f205,f360]) ).
fof(f358,plain,
spl13_4,
inference(avatar_split_clause,[],[f207,f355]) ).
fof(f207,plain,
elem(m_Down(sK6),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f353,plain,
spl13_3,
inference(avatar_split_clause,[],[f204,f350]) ).
fof(f204,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f348,plain,
spl13_2,
inference(avatar_split_clause,[],[f203,f345]) ).
fof(f203,plain,
setIn(sK5,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f343,plain,
spl13_1,
inference(avatar_split_clause,[],[f192,f340]) ).
fof(f192,plain,
setIn(sK3,alive),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV455+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.33 % Computer : n027.cluster.edu
% 0.15/0.33 % Model : x86_64 x86_64
% 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33 % Memory : 8042.1875MB
% 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33 % CPULimit : 300
% 0.15/0.33 % WCLimit : 300
% 0.15/0.33 % DateTime : Tue Apr 30 05:07:17 EDT 2024
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % (16222)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.35 % (16226)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.35 Detected minimum model sizes of [4]
% 0.15/0.35 Detected maximum model sizes of [max]
% 0.15/0.35 % (16225)WARNING: value z3 for option sas not known
% 0.15/0.35 TRYING [4]
% 0.15/0.35 % (16223)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.35 % (16224)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.35 % (16225)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.35 % (16227)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.35 % (16228)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.35 % (16229)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.37 TRYING [5]
% 0.15/0.38 Detected minimum model sizes of [4]
% 0.15/0.38 Detected maximum model sizes of [max]
% 0.15/0.39 TRYING [4]
% 0.19/0.41 TRYING [6]
% 0.19/0.48 % (16227)First to succeed.
% 0.19/0.49 % (16227)Refutation found. Thanks to Tanya!
% 0.19/0.49 % SZS status Theorem for theBenchmark
% 0.19/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (16227)------------------------------
% 0.19/0.50 % (16227)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.19/0.50 % (16227)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (16227)Memory used [KB]: 2609
% 0.19/0.50 % (16227)Time elapsed: 0.137 s
% 0.19/0.50 % (16227)Instructions burned: 247 (million)
% 0.19/0.50 % (16227)------------------------------
% 0.19/0.50 % (16227)------------------------------
% 0.19/0.50 % (16222)Success in time 0.161 s
%------------------------------------------------------------------------------