TSTP Solution File: SWV463+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWV463+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 : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 10:58:56 EDT 2024
% Result : Theorem 0.22s 0.48s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 380
% Syntax : Number of formulae : 1284 ( 262 unt; 0 def)
% Number of atoms : 4893 (1244 equ)
% Maximal formula atoms : 188 ( 3 avg)
% Number of connectives : 6403 (2794 ~;2555 |; 614 &)
% ( 338 <=>; 102 =>; 0 <=; 0 <~>)
% Maximal formula depth : 39 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 313 ( 311 usr; 305 prp; 0-2 aty)
% Number of functors : 47 ( 47 usr; 26 con; 0-2 aty)
% Number of variables : 1824 (1747 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3082,plain,
$false,
inference(avatar_sat_refutation,[],[f345,f350,f355,f360,f365,f370,f375,f381,f386,f391,f396,f402,f407,f413,f418,f423,f428,f434,f439,f444,f451,f456,f461,f466,f472,f477,f483,f487,f491,f495,f504,f513,f526,f531,f538,f543,f548,f553,f558,f563,f568,f573,f577,f581,f585,f589,f593,f598,f606,f610,f628,f638,f642,f646,f651,f655,f661,f667,f671,f675,f689,f693,f697,f701,f705,f709,f713,f717,f721,f725,f730,f734,f738,f742,f746,f750,f754,f762,f768,f772,f776,f780,f784,f789,f793,f797,f801,f805,f809,f813,f817,f833,f837,f841,f845,f849,f853,f857,f872,f880,f884,f888,f921,f926,f937,f954,f958,f962,f966,f970,f974,f978,f983,f987,f991,f995,f999,f1003,f1030,f1034,f1038,f1042,f1073,f1083,f1087,f1091,f1097,f1101,f1105,f1109,f1113,f1140,f1150,f1154,f1158,f1162,f1166,f1183,f1218,f1222,f1226,f1237,f1260,f1267,f1271,f1290,f1295,f1299,f1303,f1319,f1323,f1327,f1336,f1340,f1345,f1386,f1390,f1449,f1454,f1459,f1464,f1469,f1485,f1490,f1499,f1504,f1512,f1517,f1529,f1533,f1537,f1547,f1551,f1560,f1567,f1573,f1588,f1592,f1597,f1601,f1605,f1614,f1635,f1641,f1646,f1659,f1665,f1669,f1680,f1707,f1711,f1727,f1742,f1747,f1762,f1778,f1794,f1810,f1815,f1831,f1836,f1840,f1844,f1852,f1871,f1875,f1879,f1884,f1888,f1892,f1896,f1900,f1962,f1971,f2037,f2076,f2081,f2088,f2097,f2104,f2108,f2112,f2116,f2120,f2164,f2189,f2193,f2198,f2203,f2207,f2211,f2215,f2219,f2223,f2227,f2266,f2315,f2319,f2323,f2327,f2333,f2337,f2341,f2345,f2349,f2396,f2453,f2457,f2461,f2510,f2515,f2519,f2523,f2572,f2576,f2580,f2584,f2589,f2593,f2668,f2672,f2707,f2711,f2715,f2719,f2723,f2795,f2799,f2804,f2810,f2814,f2818,f2822,f2826,f2830,f2834,f2838,f2843,f2871,f2881,f2886,f2905,f2910,f2915,f2952,f2958,f2964,f2969,f2974,f2975,f2986,f2987,f3009,f3042,f3080,f3081]) ).
fof(f3081,plain,
( spl15_291
| ~ spl15_71
| ~ spl15_183 ),
inference(avatar_split_clause,[],[f2997,f1557,f723,f2869]) ).
fof(f2869,plain,
( spl15_291
<=> ! [X0] : m_Ldr(X0) != m_Ldr(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_291])]) ).
fof(f723,plain,
( spl15_71
<=> ! [X0,X1] : m_Down(X0) != m_Ldr(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_71])]) ).
fof(f1557,plain,
( spl15_183
<=> m_Down(sK9) = m_Ldr(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_183])]) ).
fof(f2997,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK3)
| ~ spl15_71
| ~ spl15_183 ),
inference(superposition,[],[f724,f1559]) ).
fof(f1559,plain,
( m_Down(sK9) = m_Ldr(sK3)
| ~ spl15_183 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f724,plain,
( ! [X0,X1] : m_Down(X0) != m_Ldr(X1)
| ~ spl15_71 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f3080,plain,
( spl15_304
| ~ spl15_60
| ~ spl15_183 ),
inference(avatar_split_clause,[],[f2993,f1557,f669,f3077]) ).
fof(f3077,plain,
( spl15_304
<=> sK9 = pidMsg(m_Ldr(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_304])]) ).
fof(f669,plain,
( spl15_60
<=> ! [X0] : pidMsg(m_Down(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_60])]) ).
fof(f2993,plain,
( sK9 = pidMsg(m_Ldr(sK3))
| ~ spl15_60
| ~ spl15_183 ),
inference(superposition,[],[f670,f1559]) ).
fof(f670,plain,
( ! [X0] : pidMsg(m_Down(X0)) = X0
| ~ spl15_60 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f3042,plain,
~ spl15_291,
inference(avatar_contradiction_clause,[],[f3041]) ).
fof(f3041,plain,
( $false
| ~ spl15_291 ),
inference(equality_resolution,[],[f2870]) ).
fof(f2870,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK3)
| ~ spl15_291 ),
inference(avatar_component_clause,[],[f2869]) ).
fof(f3009,plain,
( spl15_303
| ~ spl15_47
| ~ spl15_183 ),
inference(avatar_split_clause,[],[f2992,f1557,f587,f3006]) ).
fof(f3006,plain,
( spl15_303
<=> pidElem(m_Ldr(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_303])]) ).
fof(f587,plain,
( spl15_47
<=> ! [X1] : pidElem(m_Down(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_47])]) ).
fof(f2992,plain,
( pidElem(m_Ldr(sK3))
| ~ spl15_47
| ~ spl15_183 ),
inference(superposition,[],[f588,f1559]) ).
fof(f588,plain,
( ! [X1] : pidElem(m_Down(X1))
| ~ spl15_47 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f2987,plain,
( ~ spl15_182
| ~ spl15_159
| ~ spl15_225 ),
inference(avatar_split_clause,[],[f2981,f2035,f1333,f1553]) ).
fof(f1553,plain,
( spl15_182
<=> elem(m_Down(sK9),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_182])]) ).
fof(f1333,plain,
( spl15_159
<=> nbr_proc = host(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_159])]) ).
fof(f2035,plain,
( spl15_225
<=> ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_225])]) ).
fof(f2981,plain,
( ~ elem(m_Down(sK9),queue(host(sK6)))
| ~ spl15_159
| ~ spl15_225 ),
inference(trivial_inequality_removal,[],[f2978]) ).
fof(f2978,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Down(sK9),queue(host(sK6)))
| ~ spl15_159
| ~ spl15_225 ),
inference(superposition,[],[f2036,f1335]) ).
fof(f1335,plain,
( nbr_proc = host(sK9)
| ~ spl15_159 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f2036,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl15_225 ),
inference(avatar_component_clause,[],[f2035]) ).
fof(f2986,plain,
( ~ spl15_302
| ~ spl15_162
| ~ spl15_225 ),
inference(avatar_split_clause,[],[f2980,f2035,f1383,f2983]) ).
fof(f2983,plain,
( spl15_302
<=> elem(m_Down(sK5),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_302])]) ).
fof(f1383,plain,
( spl15_162
<=> nbr_proc = host(sK5) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_162])]) ).
fof(f2980,plain,
( ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl15_162
| ~ spl15_225 ),
inference(trivial_inequality_removal,[],[f2979]) ).
fof(f2979,plain,
( nbr_proc != nbr_proc
| ~ elem(m_Down(sK5),queue(host(sK6)))
| ~ spl15_162
| ~ spl15_225 ),
inference(superposition,[],[f2036,f1385]) ).
fof(f1385,plain,
( nbr_proc = host(sK5)
| ~ spl15_162 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f2975,plain,
( ~ spl15_191
| ~ spl15_224 ),
inference(avatar_split_clause,[],[f2063,f1960,f1607]) ).
fof(f1607,plain,
( spl15_191
<=> elem(m_Ack(sK10,sK8),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_191])]) ).
fof(f1960,plain,
( spl15_224
<=> ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Ack(sK10,X1),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_224])]) ).
fof(f2063,plain,
( ~ elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl15_224 ),
inference(equality_resolution,[],[f1961]) ).
fof(f1961,plain,
( ! [X1] :
( host(X1) != host(sK8)
| ~ elem(m_Ack(sK10,X1),queue(host(sK6))) )
| ~ spl15_224 ),
inference(avatar_component_clause,[],[f1960]) ).
fof(f2974,plain,
( spl15_301
| ~ spl15_99
| ~ spl15_172 ),
inference(avatar_split_clause,[],[f1505,f1502,f855,f2972]) ).
fof(f2972,plain,
( spl15_301
<=> ! [X0] :
( leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_301])]) ).
fof(f855,plain,
( spl15_99
<=> ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_99])]) ).
fof(f1502,plain,
( spl15_172
<=> ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_172])]) ).
fof(f1505,plain,
( ! [X0] :
( leq(host(sK8),X0)
| ~ leq(nbr_proc,X0) )
| ~ spl15_99
| ~ spl15_172 ),
inference(resolution,[],[f1503,f856]) ).
fof(f856,plain,
( ! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) )
| ~ spl15_99 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f1503,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK8),X0) )
| ~ spl15_172 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f2969,plain,
( ~ spl15_300
| spl15_35
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f685,f648,f528,f2966]) ).
fof(f2966,plain,
( spl15_300
<=> setIn(host(sK5),index(acks,host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_300])]) ).
fof(f528,plain,
( spl15_35
<=> setIn(host(sK5),index(acks,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_35])]) ).
fof(f648,plain,
( spl15_56
<=> sK3 = sK4 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_56])]) ).
fof(f685,plain,
( ~ setIn(host(sK5),index(acks,host(sK3)))
| spl15_35
| ~ spl15_56 ),
inference(superposition,[],[f530,f650]) ).
fof(f650,plain,
( sK3 = sK4
| ~ spl15_56 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f530,plain,
( ~ setIn(host(sK5),index(acks,host(sK4)))
| spl15_35 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f2964,plain,
( spl15_299
| ~ spl15_32
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f684,f648,f506,f2961]) ).
fof(f2961,plain,
( spl15_299
<=> setIn(host(sK6),index(acks,host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_299])]) ).
fof(f506,plain,
( spl15_32
<=> setIn(host(sK6),index(acks,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).
fof(f684,plain,
( setIn(host(sK6),index(acks,host(sK3)))
| ~ spl15_32
| ~ spl15_56 ),
inference(superposition,[],[f508,f650]) ).
fof(f508,plain,
( setIn(host(sK6),index(acks,host(sK4)))
| ~ spl15_32 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f2958,plain,
( spl15_298
| ~ spl15_162
| ~ spl15_297 ),
inference(avatar_split_clause,[],[f2953,f2949,f1383,f2955]) ).
fof(f2955,plain,
( spl15_298
<=> nbr_proc = index(pendack,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_298])]) ).
fof(f2949,plain,
( spl15_297
<=> host(sK5) = index(pendack,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_297])]) ).
fof(f2953,plain,
( nbr_proc = index(pendack,host(sK3))
| ~ spl15_162
| ~ spl15_297 ),
inference(forward_demodulation,[],[f2951,f1385]) ).
fof(f2951,plain,
( host(sK5) = index(pendack,host(sK3))
| ~ spl15_297 ),
inference(avatar_component_clause,[],[f2949]) ).
fof(f2952,plain,
( spl15_297
| ~ spl15_16
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f681,f648,f420,f2949]) ).
fof(f420,plain,
( spl15_16
<=> host(sK5) = index(pendack,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_16])]) ).
fof(f681,plain,
( host(sK5) = index(pendack,host(sK3))
| ~ spl15_16
| ~ spl15_56 ),
inference(superposition,[],[f422,f650]) ).
fof(f422,plain,
( host(sK5) = index(pendack,host(sK4))
| ~ spl15_16 ),
inference(avatar_component_clause,[],[f420]) ).
fof(f2915,plain,
( ~ spl15_296
| spl15_35
| ~ spl15_56
| ~ spl15_162 ),
inference(avatar_split_clause,[],[f1420,f1383,f648,f528,f2912]) ).
fof(f2912,plain,
( spl15_296
<=> setIn(nbr_proc,index(acks,host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_296])]) ).
fof(f1420,plain,
( ~ setIn(nbr_proc,index(acks,host(sK3)))
| spl15_35
| ~ spl15_56
| ~ spl15_162 ),
inference(forward_demodulation,[],[f1393,f650]) ).
fof(f1393,plain,
( ~ setIn(nbr_proc,index(acks,host(sK4)))
| spl15_35
| ~ spl15_162 ),
inference(superposition,[],[f530,f1385]) ).
fof(f2910,plain,
( spl15_295
| ~ spl15_10
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f680,f648,f388,f2907]) ).
fof(f2907,plain,
( spl15_295
<=> elec_2 = index(status,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_295])]) ).
fof(f388,plain,
( spl15_10
<=> elec_2 = index(status,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_10])]) ).
fof(f680,plain,
( elec_2 = index(status,host(sK3))
| ~ spl15_10
| ~ spl15_56 ),
inference(superposition,[],[f390,f650]) ).
fof(f390,plain,
( elec_2 = index(status,host(sK4))
| ~ spl15_10 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f2905,plain,
( spl15_294
| ~ spl15_9
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f679,f648,f383,f2902]) ).
fof(f2902,plain,
( spl15_294
<=> sK3 = index(elid,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_294])]) ).
fof(f383,plain,
( spl15_9
<=> sK3 = index(elid,host(sK4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_9])]) ).
fof(f679,plain,
( sK3 = index(elid,host(sK3))
| ~ spl15_9
| ~ spl15_56 ),
inference(superposition,[],[f385,f650]) ).
fof(f385,plain,
( sK3 = index(elid,host(sK4))
| ~ spl15_9 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f2886,plain,
( ~ spl15_293
| ~ spl15_21
| ~ spl15_159
| ~ spl15_201 ),
inference(avatar_split_clause,[],[f1723,f1709,f1333,f448,f2883]) ).
fof(f2883,plain,
( spl15_293
<=> leq(s(nbr_proc),host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_293])]) ).
fof(f448,plain,
( spl15_21
<=> host(sK9) = s(host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_21])]) ).
fof(f1709,plain,
( spl15_201
<=> ! [X0] : ~ leq(s(s(X0)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_201])]) ).
fof(f1723,plain,
( ~ leq(s(nbr_proc),host(sK8))
| ~ spl15_21
| ~ spl15_159
| ~ spl15_201 ),
inference(forward_demodulation,[],[f1719,f1335]) ).
fof(f1719,plain,
( ~ leq(s(host(sK9)),host(sK8))
| ~ spl15_21
| ~ spl15_201 ),
inference(superposition,[],[f1710,f450]) ).
fof(f450,plain,
( host(sK9) = s(host(sK8))
| ~ spl15_21 ),
inference(avatar_component_clause,[],[f448]) ).
fof(f1710,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl15_201 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f2881,plain,
( ~ spl15_292
| ~ spl15_6
| ~ spl15_31
| ~ spl15_191 ),
inference(avatar_split_clause,[],[f1617,f1607,f502,f367,f2878]) ).
fof(f2878,plain,
( spl15_292
<=> leq(host(sK8),host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_292])]) ).
fof(f367,plain,
( spl15_6
<=> host(sK6) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_6])]) ).
fof(f502,plain,
( spl15_31
<=> ! [X38,X39,X40] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_31])]) ).
fof(f1617,plain,
( ~ leq(host(sK8),host(sK6))
| ~ spl15_6
| ~ spl15_31
| ~ spl15_191 ),
inference(forward_demodulation,[],[f1616,f369]) ).
fof(f369,plain,
( host(sK6) = host(sK10)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f367]) ).
fof(f1616,plain,
( ~ leq(host(sK8),host(sK10))
| ~ spl15_31
| ~ spl15_191 ),
inference(resolution,[],[f1609,f503]) ).
fof(f503,plain,
( ! [X40,X38,X39] :
( ~ elem(m_Ack(X40,X38),queue(host(X39)))
| ~ leq(host(X38),host(X40)) )
| ~ spl15_31 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f1609,plain,
( elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl15_191 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f2871,plain,
( spl15_291
| ~ spl15_90
| ~ spl15_192 ),
inference(avatar_split_clause,[],[f1689,f1611,f807,f2869]) ).
fof(f807,plain,
( spl15_90
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_90])]) ).
fof(f1611,plain,
( spl15_192
<=> m_Ack(sK10,sK8) = m_Ldr(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_192])]) ).
fof(f1689,plain,
( ! [X0] : m_Ldr(X0) != m_Ldr(sK3)
| ~ spl15_90
| ~ spl15_192 ),
inference(superposition,[],[f808,f1613]) ).
fof(f1613,plain,
( m_Ack(sK10,sK8) = m_Ldr(sK3)
| ~ spl15_192 ),
inference(avatar_component_clause,[],[f1611]) ).
fof(f808,plain,
( ! [X2,X0,X1] : m_Ack(X0,X1) != m_Ldr(X2)
| ~ spl15_90 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f2843,plain,
( spl15_290
| ~ spl15_61
| ~ spl15_170 ),
inference(avatar_split_clause,[],[f1491,f1488,f673,f2840]) ).
fof(f2840,plain,
( spl15_290
<=> leq(s(s(zero)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_290])]) ).
fof(f673,plain,
( spl15_61
<=> ! [X0] : leq(s(zero),host(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_61])]) ).
fof(f1488,plain,
( spl15_170
<=> ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_170])]) ).
fof(f1491,plain,
( leq(s(s(zero)),nbr_proc)
| ~ spl15_61
| ~ spl15_170 ),
inference(resolution,[],[f1489,f674]) ).
fof(f674,plain,
( ! [X0] : leq(s(zero),host(X0))
| ~ spl15_61 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f1489,plain,
( ! [X0] :
( ~ leq(X0,host(sK8))
| leq(s(X0),nbr_proc) )
| ~ spl15_170 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f2838,plain,
( spl15_289
| ~ spl15_60
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1281,f1269,f669,f2836]) ).
fof(f2836,plain,
( spl15_289
<=> ! [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,[spl15_289])]) ).
fof(f1269,plain,
( spl15_150
<=> ! [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,[spl15_150])]) ).
fof(f1281,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) )
| ~ spl15_60
| ~ spl15_150 ),
inference(superposition,[],[f1270,f670]) ).
fof(f1270,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) )
| ~ spl15_150 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f2834,plain,
( spl15_288
| ~ spl15_59
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1280,f1269,f665,f2832]) ).
fof(f2832,plain,
( spl15_288
<=> ! [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,[spl15_288])]) ).
fof(f665,plain,
( spl15_59
<=> ! [X0] : pidMsg(m_Halt(X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_59])]) ).
fof(f1280,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) )
| ~ spl15_59
| ~ spl15_150 ),
inference(superposition,[],[f1270,f666]) ).
fof(f666,plain,
( ! [X0] : pidMsg(m_Halt(X0)) = X0
| ~ spl15_59 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f2830,plain,
( spl15_287
| ~ spl15_60
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1279,f1269,f669,f2828]) ).
fof(f2828,plain,
( spl15_287
<=> ! [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,[spl15_287])]) ).
fof(f1279,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) )
| ~ spl15_60
| ~ spl15_150 ),
inference(superposition,[],[f1270,f670]) ).
fof(f2826,plain,
( spl15_286
| ~ spl15_59
| ~ spl15_150 ),
inference(avatar_split_clause,[],[f1278,f1269,f665,f2824]) ).
fof(f2824,plain,
( spl15_286
<=> ! [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,[spl15_286])]) ).
fof(f1278,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) )
| ~ spl15_59
| ~ spl15_150 ),
inference(superposition,[],[f1270,f666]) ).
fof(f2822,plain,
( spl15_285
| ~ spl15_60
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1275,f1265,f669,f2820]) ).
fof(f2820,plain,
( spl15_285
<=> ! [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,[spl15_285])]) ).
fof(f1265,plain,
( spl15_149
<=> ! [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,[spl15_149])]) ).
fof(f1275,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) )
| ~ spl15_60
| ~ spl15_149 ),
inference(superposition,[],[f1266,f670]) ).
fof(f1266,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) )
| ~ spl15_149 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f2818,plain,
( spl15_284
| ~ spl15_59
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1274,f1265,f665,f2816]) ).
fof(f2816,plain,
( spl15_284
<=> ! [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,[spl15_284])]) ).
fof(f1274,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) )
| ~ spl15_59
| ~ spl15_149 ),
inference(superposition,[],[f1266,f666]) ).
fof(f2814,plain,
( spl15_283
| ~ spl15_60
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1273,f1265,f669,f2812]) ).
fof(f2812,plain,
( spl15_283
<=> ! [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,[spl15_283])]) ).
fof(f1273,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) )
| ~ spl15_60
| ~ spl15_149 ),
inference(superposition,[],[f1266,f670]) ).
fof(f2810,plain,
( spl15_282
| ~ spl15_59
| ~ spl15_149 ),
inference(avatar_split_clause,[],[f1272,f1265,f665,f2808]) ).
fof(f2808,plain,
( spl15_282
<=> ! [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,[spl15_282])]) ).
fof(f1272,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) )
| ~ spl15_59
| ~ spl15_149 ),
inference(superposition,[],[f1266,f666]) ).
fof(f2804,plain,
( ~ spl15_281
| ~ spl15_34
| ~ spl15_162 ),
inference(avatar_split_clause,[],[f1400,f1383,f524,f2801]) ).
fof(f2801,plain,
( spl15_281
<=> elem(m_Down(sK5),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_281])]) ).
fof(f524,plain,
( spl15_34
<=> ! [X0] : ~ elem(m_Down(X0),queue(host(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_34])]) ).
fof(f1400,plain,
( ~ elem(m_Down(sK5),queue(nbr_proc))
| ~ spl15_34
| ~ spl15_162 ),
inference(superposition,[],[f525,f1385]) ).
fof(f525,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl15_34 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f2799,plain,
( spl15_280
| ~ spl15_97
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1230,f1216,f847,f2797]) ).
fof(f2797,plain,
( spl15_280
<=> ! [X0,X1] :
( sK14(X0,X1) = m_Halt(sK12(sK14(X0,X1)))
| sK14(X0,X1) = m_Down(sK12(sK14(X0,X1)))
| sP1(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_280])]) ).
fof(f847,plain,
( spl15_97
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_97])]) ).
fof(f1216,plain,
( spl15_143
<=> ! [X0] :
( m_Down(sK12(X0)) = X0
| m_Halt(sK12(X0)) = X0
| ~ pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_143])]) ).
fof(f1230,plain,
( ! [X0,X1] :
( sK14(X0,X1) = m_Halt(sK12(sK14(X0,X1)))
| sK14(X0,X1) = m_Down(sK12(sK14(X0,X1)))
| sP1(X0,X1) )
| ~ spl15_97
| ~ spl15_143 ),
inference(resolution,[],[f1217,f848]) ).
fof(f848,plain,
( ! [X0,X1] :
( pidElem(sK14(X0,X1))
| sP1(X0,X1) )
| ~ spl15_97 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f1217,plain,
( ! [X0] :
( ~ pidElem(X0)
| m_Halt(sK12(X0)) = X0
| m_Down(sK12(X0)) = X0 )
| ~ spl15_143 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f2795,plain,
( spl15_279
| ~ spl15_95
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1229,f1216,f839,f2793]) ).
fof(f2793,plain,
( spl15_279
<=> ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK12(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK12(sK13(X0,X1)))
| sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_279])]) ).
fof(f839,plain,
( spl15_95
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK13(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_95])]) ).
fof(f1229,plain,
( ! [X0,X1] :
( sK13(X0,X1) = m_Halt(sK12(sK13(X0,X1)))
| sK13(X0,X1) = m_Down(sK12(sK13(X0,X1)))
| sP0(X0,X1) )
| ~ spl15_95
| ~ spl15_143 ),
inference(resolution,[],[f1217,f840]) ).
fof(f840,plain,
( ! [X0,X1] :
( pidElem(sK13(X0,X1))
| sP0(X0,X1) )
| ~ spl15_95 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f2723,plain,
( spl15_278
| ~ spl15_118
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1209,f1164,f989,f2721]) ).
fof(f2721,plain,
( spl15_278
<=> ! [X2,X0,X1] :
( sK14(X0,snoc(X1,X2)) = X2
| elem(sK14(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_278])]) ).
fof(f989,plain,
( spl15_118
<=> ! [X0,X1] :
( sP1(X0,X1)
| elem(sK14(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_118])]) ).
fof(f1164,plain,
( spl15_140
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_140])]) ).
fof(f1209,plain,
( ! [X2,X0,X1] :
( sK14(X0,snoc(X1,X2)) = X2
| elem(sK14(X0,snoc(X1,X2)),X1)
| sP1(X0,snoc(X1,X2)) )
| ~ spl15_118
| ~ spl15_140 ),
inference(resolution,[],[f1165,f990]) ).
fof(f990,plain,
( ! [X0,X1] :
( elem(sK14(X0,X1),X1)
| sP1(X0,X1) )
| ~ spl15_118 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1165,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,snoc(X2,X1))
| X0 = X1
| elem(X0,X2) )
| ~ spl15_140 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f2719,plain,
( spl15_277
| ~ spl15_117
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1208,f1164,f985,f2717]) ).
fof(f2717,plain,
( spl15_277
<=> ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_277])]) ).
fof(f985,plain,
( spl15_117
<=> ! [X0,X1] :
( sP0(X0,X1)
| elem(sK13(X0,X1),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_117])]) ).
fof(f1208,plain,
( ! [X2,X0,X1] :
( sK13(X0,snoc(X1,X2)) = X2
| elem(sK13(X0,snoc(X1,X2)),X1)
| sP0(X0,snoc(X1,X2)) )
| ~ spl15_117
| ~ spl15_140 ),
inference(resolution,[],[f1165,f986]) ).
fof(f986,plain,
( ! [X0,X1] :
( elem(sK13(X0,X1),X1)
| sP0(X0,X1) )
| ~ spl15_117 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f2715,plain,
( spl15_276
| ~ spl15_118
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1200,f1160,f989,f2713]) ).
fof(f2713,plain,
( spl15_276
<=> ! [X2,X0,X1] :
( sK14(X0,cons(X1,X2)) = X1
| elem(sK14(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_276])]) ).
fof(f1160,plain,
( spl15_139
<=> ! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_139])]) ).
fof(f1200,plain,
( ! [X2,X0,X1] :
( sK14(X0,cons(X1,X2)) = X1
| elem(sK14(X0,cons(X1,X2)),X2)
| sP1(X0,cons(X1,X2)) )
| ~ spl15_118
| ~ spl15_139 ),
inference(resolution,[],[f1161,f990]) ).
fof(f1161,plain,
( ! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) )
| ~ spl15_139 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f2711,plain,
( spl15_275
| ~ spl15_117
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1199,f1160,f985,f2709]) ).
fof(f2709,plain,
( spl15_275
<=> ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_275])]) ).
fof(f1199,plain,
( ! [X2,X0,X1] :
( sK13(X0,cons(X1,X2)) = X1
| elem(sK13(X0,cons(X1,X2)),X2)
| sP0(X0,cons(X1,X2)) )
| ~ spl15_117
| ~ spl15_139 ),
inference(resolution,[],[f1161,f986]) ).
fof(f2707,plain,
( ~ spl15_274
| spl15_43
| ~ spl15_162 ),
inference(avatar_split_clause,[],[f1392,f1383,f570,f2704]) ).
fof(f2704,plain,
( spl15_274
<=> elec_2 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_274])]) ).
fof(f570,plain,
( spl15_43
<=> elec_2 = index(status,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_43])]) ).
fof(f1392,plain,
( elec_2 != index(status,nbr_proc)
| spl15_43
| ~ spl15_162 ),
inference(superposition,[],[f571,f1385]) ).
fof(f571,plain,
( elec_2 != index(status,host(sK5))
| spl15_43 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f2672,plain,
( spl15_273
| ~ spl15_138
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1212,f1164,f1156,f2670]) ).
fof(f2670,plain,
( spl15_273
<=> ! [X0,X3,X2,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_273])]) ).
fof(f1156,plain,
( spl15_138
<=> ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_138])]) ).
fof(f1212,plain,
( ! [X2,X3,X0,X1] :
( ~ elem(X3,cons(X0,snoc(X1,X2)))
| X2 = X3
| elem(X3,cons(X0,X1)) )
| ~ spl15_138
| ~ spl15_140 ),
inference(superposition,[],[f1165,f1157]) ).
fof(f1157,plain,
( ! [X2,X0,X1] : snoc(cons(X0,X2),X1) = cons(X0,snoc(X2,X1))
| ~ spl15_138 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f2668,plain,
( spl15_272
| ~ spl15_123
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1193,f1156,f1032,f2666]) ).
fof(f2666,plain,
( spl15_272
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_272])]) ).
fof(f1032,plain,
( spl15_123
<=> ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_123])]) ).
fof(f1193,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,X2)))
| ~ sP1(X2,cons(X0,X1))
| ~ ordered(cons(X0,X1)) )
| ~ spl15_123
| ~ spl15_138 ),
inference(superposition,[],[f1033,f1157]) ).
fof(f1033,plain,
( ! [X0,X1] :
( ordered(snoc(X1,X0))
| ~ sP1(X0,X1)
| ~ ordered(X1) )
| ~ spl15_123 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f2593,plain,
( spl15_271
| ~ spl15_47
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1228,f1216,f587,f2591]) ).
fof(f2591,plain,
( spl15_271
<=> ! [X0] :
( m_Down(X0) = m_Halt(sK12(m_Down(X0)))
| m_Down(X0) = m_Down(sK12(m_Down(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_271])]) ).
fof(f1228,plain,
( ! [X0] :
( m_Down(X0) = m_Halt(sK12(m_Down(X0)))
| m_Down(X0) = m_Down(sK12(m_Down(X0))) )
| ~ spl15_47
| ~ spl15_143 ),
inference(resolution,[],[f1217,f588]) ).
fof(f2589,plain,
( ~ spl15_270
| ~ spl15_34
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1355,f1333,f524,f2586]) ).
fof(f2586,plain,
( spl15_270
<=> elem(m_Down(sK9),queue(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_270])]) ).
fof(f1355,plain,
( ~ elem(m_Down(sK9),queue(nbr_proc))
| ~ spl15_34
| ~ spl15_159 ),
inference(superposition,[],[f525,f1335]) ).
fof(f2584,plain,
( spl15_269
| ~ spl15_48
| ~ spl15_143 ),
inference(avatar_split_clause,[],[f1227,f1216,f591,f2582]) ).
fof(f2582,plain,
( spl15_269
<=> ! [X0] :
( m_Halt(X0) = m_Halt(sK12(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK12(m_Halt(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_269])]) ).
fof(f591,plain,
( spl15_48
<=> ! [X1] : pidElem(m_Halt(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_48])]) ).
fof(f1227,plain,
( ! [X0] :
( m_Halt(X0) = m_Halt(sK12(m_Halt(X0)))
| m_Halt(X0) = m_Down(sK12(m_Halt(X0))) )
| ~ spl15_48
| ~ spl15_143 ),
inference(resolution,[],[f1217,f592]) ).
fof(f592,plain,
( ! [X1] : pidElem(m_Halt(X1))
| ~ spl15_48 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f2580,plain,
( spl15_268
| ~ spl15_128
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1211,f1164,f1085,f2578]) ).
fof(f2578,plain,
( spl15_268
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_268])]) ).
fof(f1085,plain,
( spl15_128
<=> ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_128])]) ).
fof(f1211,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| last(X0) = X1
| elem(X1,init(X0))
| q_nil = X0 )
| ~ spl15_128
| ~ spl15_140 ),
inference(superposition,[],[f1165,f1086]) ).
fof(f1086,plain,
( ! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 )
| ~ spl15_128 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f2576,plain,
( spl15_267
| ~ spl15_127
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1202,f1160,f1081,f2574]) ).
fof(f2574,plain,
( spl15_267
<=> ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_267])]) ).
fof(f1081,plain,
( spl15_127
<=> ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_127])]) ).
fof(f1202,plain,
( ! [X0,X1] :
( ~ elem(X1,X0)
| head(X0) = X1
| elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl15_127
| ~ spl15_139 ),
inference(superposition,[],[f1161,f1082]) ).
fof(f1082,plain,
( ! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 )
| ~ spl15_127 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f2572,plain,
( spl15_266
| ~ spl15_127
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1185,f1156,f1081,f2570]) ).
fof(f2570,plain,
( spl15_266
<=> ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_266])]) ).
fof(f1185,plain,
( ! [X0,X1] :
( snoc(X0,X1) = cons(head(X0),snoc(tail(X0),X1))
| q_nil = X0 )
| ~ spl15_127
| ~ spl15_138 ),
inference(superposition,[],[f1157,f1082]) ).
fof(f2523,plain,
( spl15_265
| ~ spl15_123
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f1129,f1085,f1032,f2521]) ).
fof(f2521,plain,
( spl15_265
<=> ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_265])]) ).
fof(f1129,plain,
( ! [X0] :
( ordered(X0)
| ~ sP1(last(X0),init(X0))
| ~ ordered(init(X0))
| q_nil = X0 )
| ~ spl15_123
| ~ spl15_128 ),
inference(superposition,[],[f1033,f1086]) ).
fof(f2519,plain,
( spl15_264
| ~ spl15_122
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1121,f1081,f1028,f2517]) ).
fof(f2517,plain,
( spl15_264
<=> ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_264])]) ).
fof(f1028,plain,
( spl15_122
<=> ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_122])]) ).
fof(f1121,plain,
( ! [X0] :
( ordered(X0)
| ~ sP0(head(X0),tail(X0))
| ~ ordered(tail(X0))
| q_nil = X0 )
| ~ spl15_122
| ~ spl15_127 ),
inference(superposition,[],[f1029,f1082]) ).
fof(f1029,plain,
( ! [X0,X1] :
( ordered(cons(X0,X1))
| ~ sP0(X0,X1)
| ~ ordered(X1) )
| ~ spl15_122 ),
inference(avatar_component_clause,[],[f1028]) ).
fof(f2515,plain,
( spl15_263
| ~ spl15_114
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1057,f1036,f972,f2513]) ).
fof(f2513,plain,
( spl15_263
<=> ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_263])]) ).
fof(f972,plain,
( spl15_114
<=> ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_114])]) ).
fof(f1036,plain,
( spl15_124
<=> ! [X0,X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_124])]) ).
fof(f1057,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| ~ leq(s(X0),s(X1))
| ~ leq(X1,X0) )
| ~ spl15_114
| ~ spl15_124 ),
inference(resolution,[],[f1037,f973]) ).
fof(f973,plain,
( ! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) )
| ~ spl15_114 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f1037,plain,
( ! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1) )
| ~ spl15_124 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f2510,plain,
( ~ spl15_262
| ~ spl15_54
| ~ spl15_154 ),
inference(avatar_split_clause,[],[f1314,f1301,f640,f2507]) ).
fof(f2507,plain,
( spl15_262
<=> leq(s(host(sK5)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_262])]) ).
fof(f640,plain,
( spl15_54
<=> ! [X0] : ~ leq(s(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_54])]) ).
fof(f1301,plain,
( spl15_154
<=> ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_154])]) ).
fof(f1314,plain,
( ~ leq(s(host(sK5)),nbr_proc)
| ~ spl15_54
| ~ spl15_154 ),
inference(resolution,[],[f1302,f641]) ).
fof(f641,plain,
( ! [X0] : ~ leq(s(X0),X0)
| ~ spl15_54 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f1302,plain,
( ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) )
| ~ spl15_154 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f2461,plain,
( spl15_261
| ~ spl15_119
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1195,f1156,f993,f2459]) ).
fof(f2459,plain,
( spl15_261
<=> ! [X0,X3,X2,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_261])]) ).
fof(f993,plain,
( spl15_119
<=> ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_119])]) ).
fof(f1195,plain,
( ! [X2,X3,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ack(X2,X3))))
| ~ ordered(cons(X0,X1)) )
| ~ spl15_119
| ~ spl15_138 ),
inference(superposition,[],[f994,f1157]) ).
fof(f994,plain,
( ! [X2,X0,X1] :
( ordered(snoc(X0,m_Ack(X1,X2)))
| ~ ordered(X0) )
| ~ spl15_119 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f2457,plain,
( spl15_260
| ~ spl15_121
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1192,f1156,f1001,f2455]) ).
fof(f2455,plain,
( spl15_260
<=> ! [X0,X3,X2,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_260])]) ).
fof(f1001,plain,
( spl15_121
<=> ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_121])]) ).
fof(f1192,plain,
( ! [X2,X3,X0,X1] :
( elem(X3,cons(X0,snoc(X1,X2)))
| ~ elem(X3,cons(X0,X1)) )
| ~ spl15_121
| ~ spl15_138 ),
inference(superposition,[],[f1002,f1157]) ).
fof(f1002,plain,
( ! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) )
| ~ spl15_121 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f2453,plain,
( spl15_259
| ~ spl15_114
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1170,f1152,f972,f2451]) ).
fof(f2451,plain,
( spl15_259
<=> ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_259])]) ).
fof(f1152,plain,
( spl15_137
<=> ! [X0,X1] :
( leq(X0,X1)
| s(X1) = X0
| ~ leq(X0,s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_137])]) ).
fof(f1170,plain,
( ! [X0,X1] :
( s(X0) = s(X1)
| leq(s(X1),X0)
| ~ leq(X1,X0) )
| ~ spl15_114
| ~ spl15_137 ),
inference(resolution,[],[f1153,f973]) ).
fof(f1153,plain,
( ! [X0,X1] :
( ~ leq(X0,s(X1))
| s(X1) = X0
| leq(X0,X1) )
| ~ spl15_137 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f2396,plain,
( ~ spl15_258
| ~ spl15_54
| ~ spl15_153 ),
inference(avatar_split_clause,[],[f1311,f1297,f640,f2393]) ).
fof(f2393,plain,
( spl15_258
<=> leq(s(host(sK9)),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_258])]) ).
fof(f1297,plain,
( spl15_153
<=> ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,nbr_proc) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_153])]) ).
fof(f1311,plain,
( ~ leq(s(host(sK9)),nbr_proc)
| ~ spl15_54
| ~ spl15_153 ),
inference(resolution,[],[f1298,f641]) ).
fof(f1298,plain,
( ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,nbr_proc) )
| ~ spl15_153 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f2349,plain,
( spl15_257
| ~ spl15_94
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1194,f1156,f835,f2347]) ).
fof(f2347,plain,
( spl15_257
<=> ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_257])]) ).
fof(f835,plain,
( spl15_94
<=> ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_94])]) ).
fof(f1194,plain,
( ! [X2,X0,X1] :
( ordered(cons(X0,snoc(X1,m_Ldr(X2))))
| ~ ordered(cons(X0,X1)) )
| ~ spl15_94
| ~ spl15_138 ),
inference(superposition,[],[f836,f1157]) ).
fof(f836,plain,
( ! [X0,X1] :
( ordered(snoc(X0,m_Ldr(X1)))
| ~ ordered(X0) )
| ~ spl15_94 ),
inference(avatar_component_clause,[],[f835]) ).
fof(f2345,plain,
( spl15_256
| ~ spl15_98
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1191,f1156,f851,f2343]) ).
fof(f2343,plain,
( spl15_256
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_256])]) ).
fof(f851,plain,
( spl15_98
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_98])]) ).
fof(f1191,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| sP1(X2,cons(X0,X1)) )
| ~ spl15_98
| ~ spl15_138 ),
inference(superposition,[],[f852,f1157]) ).
fof(f852,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| sP1(X0,X1) )
| ~ spl15_98 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f2341,plain,
( spl15_255
| ~ spl15_84
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1172,f1152,f782,f2339]) ).
fof(f2339,plain,
( spl15_255
<=> ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_255])]) ).
fof(f782,plain,
( spl15_84
<=> ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_84])]) ).
fof(f1172,plain,
( ! [X0,X1] :
( s(X0) = X1
| leq(X1,X0)
| leq(s(X0),X1) )
| ~ spl15_84
| ~ spl15_137 ),
inference(resolution,[],[f1153,f783]) ).
fof(f783,plain,
( ! [X0,X1] :
( leq(X1,X0)
| leq(X0,X1) )
| ~ spl15_84 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f2337,plain,
( spl15_254
| ~ spl15_60
| ~ spl15_132 ),
inference(avatar_split_clause,[],[f1144,f1103,f669,f2335]) ).
fof(f2335,plain,
( spl15_254
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK14(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_254])]) ).
fof(f1103,plain,
( spl15_132
<=> ! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK14(X0,X1)),pidMsg(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_132])]) ).
fof(f1144,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK14(m_Down(X0),X1)),X0)
| sP1(m_Down(X0),X1) )
| ~ spl15_60
| ~ spl15_132 ),
inference(superposition,[],[f1104,f670]) ).
fof(f1104,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK14(X0,X1)),pidMsg(X0))
| sP1(X0,X1) )
| ~ spl15_132 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f2333,plain,
( spl15_253
| ~ spl15_59
| ~ spl15_132 ),
inference(avatar_split_clause,[],[f1143,f1103,f665,f2331]) ).
fof(f2331,plain,
( spl15_253
<=> ! [X0,X1] :
( ~ leq(pidMsg(sK14(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_253])]) ).
fof(f1143,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(sK14(m_Halt(X0),X1)),X0)
| sP1(m_Halt(X0),X1) )
| ~ spl15_59
| ~ spl15_132 ),
inference(superposition,[],[f1104,f666]) ).
fof(f2327,plain,
( spl15_252
| ~ spl15_60
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1135,f1099,f669,f2325]) ).
fof(f2325,plain,
( spl15_252
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK13(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_252])]) ).
fof(f1099,plain,
( spl15_131
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_131])]) ).
fof(f1135,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK13(m_Down(X0),X1)))
| sP0(m_Down(X0),X1) )
| ~ spl15_60
| ~ spl15_131 ),
inference(superposition,[],[f1100,f670]) ).
fof(f1100,plain,
( ! [X0,X1] :
( ~ leq(pidMsg(X0),pidMsg(sK13(X0,X1)))
| sP0(X0,X1) )
| ~ spl15_131 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f2323,plain,
( spl15_251
| ~ spl15_59
| ~ spl15_131 ),
inference(avatar_split_clause,[],[f1134,f1099,f665,f2321]) ).
fof(f2321,plain,
( spl15_251
<=> ! [X0,X1] :
( ~ leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_251])]) ).
fof(f1134,plain,
( ! [X0,X1] :
( ~ leq(X0,pidMsg(sK13(m_Halt(X0),X1)))
| sP0(m_Halt(X0),X1) )
| ~ spl15_59
| ~ spl15_131 ),
inference(superposition,[],[f1100,f666]) ).
fof(f2319,plain,
( spl15_250
| ~ spl15_114
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1067,f1040,f972,f2317]) ).
fof(f2317,plain,
( spl15_250
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_250])]) ).
fof(f1040,plain,
( spl15_125
<=> ! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_125])]) ).
fof(f1067,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,s(X2))
| ~ leq(X2,X1) )
| ~ spl15_114
| ~ spl15_125 ),
inference(resolution,[],[f1041,f973]) ).
fof(f1041,plain,
( ! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1) )
| ~ spl15_125 ),
inference(avatar_component_clause,[],[f1040]) ).
fof(f2315,plain,
( spl15_249
| ~ spl15_99
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1056,f1036,f855,f2313]) ).
fof(f2313,plain,
( spl15_249
<=> ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_249])]) ).
fof(f1056,plain,
( ! [X0,X1] :
( s(X0) = X1
| ~ leq(s(X0),X1)
| ~ leq(X1,X0) )
| ~ spl15_99
| ~ spl15_124 ),
inference(resolution,[],[f1037,f856]) ).
fof(f2266,plain,
( ~ spl15_248
| ~ spl15_162
| spl15_240 ),
inference(avatar_split_clause,[],[f2199,f2195,f1383,f2263]) ).
fof(f2263,plain,
( spl15_248
<=> leq(nbr_proc,host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_248])]) ).
fof(f2195,plain,
( spl15_240
<=> leq(host(sK5),host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_240])]) ).
fof(f2199,plain,
( ~ leq(nbr_proc,host(sK3))
| ~ spl15_162
| spl15_240 ),
inference(forward_demodulation,[],[f2197,f1385]) ).
fof(f2197,plain,
( ~ leq(host(sK5),host(sK3))
| spl15_240 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f2227,plain,
( spl15_247
| ~ spl15_87
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1190,f1156,f795,f2225]) ).
fof(f2225,plain,
( spl15_247
<=> ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_247])]) ).
fof(f795,plain,
( spl15_87
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_87])]) ).
fof(f1190,plain,
( ! [X2,X0,X1] :
( ~ ordered(cons(X0,snoc(X1,X2)))
| ordered(cons(X0,X1)) )
| ~ spl15_87
| ~ spl15_138 ),
inference(superposition,[],[f796,f1157]) ).
fof(f796,plain,
( ! [X0,X1] :
( ~ ordered(snoc(X1,X0))
| ordered(X1) )
| ~ spl15_87 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f2223,plain,
( spl15_246
| ~ spl15_83
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1189,f1156,f778,f2221]) ).
fof(f2221,plain,
( spl15_246
<=> ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_246])]) ).
fof(f778,plain,
( spl15_83
<=> ! [X0,X1] : init(snoc(X1,X0)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_83])]) ).
fof(f1189,plain,
( ! [X2,X0,X1] : cons(X0,X1) = init(cons(X0,snoc(X1,X2)))
| ~ spl15_83
| ~ spl15_138 ),
inference(superposition,[],[f779,f1157]) ).
fof(f779,plain,
( ! [X0,X1] : init(snoc(X1,X0)) = X1
| ~ spl15_83 ),
inference(avatar_component_clause,[],[f778]) ).
fof(f2219,plain,
( spl15_245
| ~ spl15_84
| ~ spl15_132 ),
inference(avatar_split_clause,[],[f1141,f1103,f782,f2217]) ).
fof(f2217,plain,
( spl15_245
<=> ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK14(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_245])]) ).
fof(f1141,plain,
( ! [X0,X1] :
( sP1(X0,X1)
| leq(pidMsg(X0),pidMsg(sK14(X0,X1))) )
| ~ spl15_84
| ~ spl15_132 ),
inference(resolution,[],[f1104,f783]) ).
fof(f2215,plain,
( spl15_244
| ~ spl15_121
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f1128,f1085,f1001,f2213]) ).
fof(f2213,plain,
( spl15_244
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_244])]) ).
fof(f1128,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,init(X0))
| q_nil = X0 )
| ~ spl15_121
| ~ spl15_128 ),
inference(superposition,[],[f1002,f1086]) ).
fof(f2211,plain,
( spl15_243
| ~ spl15_98
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f1127,f1085,f851,f2209]) ).
fof(f2209,plain,
( spl15_243
<=> ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_243])]) ).
fof(f1127,plain,
( ! [X0] :
( ~ ordered(X0)
| sP1(last(X0),init(X0))
| q_nil = X0 )
| ~ spl15_98
| ~ spl15_128 ),
inference(superposition,[],[f852,f1086]) ).
fof(f2207,plain,
( spl15_242
| ~ spl15_120
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1120,f1081,f997,f2205]) ).
fof(f2205,plain,
( spl15_242
<=> ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_242])]) ).
fof(f997,plain,
( spl15_120
<=> ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_120])]) ).
fof(f1120,plain,
( ! [X0,X1] :
( elem(X1,X0)
| ~ elem(X1,tail(X0))
| q_nil = X0 )
| ~ spl15_120
| ~ spl15_127 ),
inference(superposition,[],[f998,f1082]) ).
fof(f998,plain,
( ! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) )
| ~ spl15_120 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f2203,plain,
( spl15_241
| ~ spl15_96
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1119,f1081,f843,f2201]) ).
fof(f2201,plain,
( spl15_241
<=> ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_241])]) ).
fof(f843,plain,
( spl15_96
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_96])]) ).
fof(f1119,plain,
( ! [X0] :
( ~ ordered(X0)
| sP0(head(X0),tail(X0))
| q_nil = X0 )
| ~ spl15_96
| ~ spl15_127 ),
inference(superposition,[],[f844,f1082]) ).
fof(f844,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| sP0(X0,X1) )
| ~ spl15_96 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2198,plain,
( ~ spl15_240
| ~ spl15_31
| ~ spl15_151 ),
inference(avatar_split_clause,[],[f1304,f1287,f502,f2195]) ).
fof(f1287,plain,
( spl15_151
<=> elem(m_Ack(sK3,sK5),queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_151])]) ).
fof(f1304,plain,
( ~ leq(host(sK5),host(sK3))
| ~ spl15_31
| ~ spl15_151 ),
inference(resolution,[],[f1289,f503]) ).
fof(f1289,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK3)))
| ~ spl15_151 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f2193,plain,
( spl15_239
| ~ spl15_99
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1066,f1040,f855,f2191]) ).
fof(f2191,plain,
( spl15_239
<=> ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_239])]) ).
fof(f1066,plain,
( ! [X2,X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X2)
| ~ leq(X2,X1) )
| ~ spl15_99
| ~ spl15_125 ),
inference(resolution,[],[f1041,f856]) ).
fof(f2189,plain,
( spl15_238
| ~ spl15_61
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1055,f1036,f673,f2187]) ).
fof(f2187,plain,
( spl15_238
<=> ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_238])]) ).
fof(f1055,plain,
( ! [X0] :
( host(X0) = s(zero)
| ~ leq(host(X0),s(zero)) )
| ~ spl15_61
| ~ spl15_124 ),
inference(resolution,[],[f1037,f674]) ).
fof(f2164,plain,
( spl15_237
| ~ spl15_84
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1061,f1040,f782,f2162]) ).
fof(f2162,plain,
( spl15_237
<=> ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_237])]) ).
fof(f1061,plain,
( ! [X2,X0,X1] :
( leq(X0,X1)
| ~ leq(X0,X2)
| leq(X1,X2) )
| ~ spl15_84
| ~ spl15_125 ),
inference(resolution,[],[f1041,f783]) ).
fof(f2120,plain,
( spl15_236
| ~ spl15_82
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1188,f1156,f774,f2118]) ).
fof(f2118,plain,
( spl15_236
<=> ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_236])]) ).
fof(f774,plain,
( spl15_82
<=> ! [X0,X1] : last(snoc(X1,X0)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_82])]) ).
fof(f1188,plain,
( ! [X2,X0,X1] : last(cons(X0,snoc(X1,X2))) = X2
| ~ spl15_82
| ~ spl15_138 ),
inference(superposition,[],[f775,f1157]) ).
fof(f775,plain,
( ! [X0,X1] : last(snoc(X1,X0)) = X0
| ~ spl15_82 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f2116,plain,
( spl15_235
| ~ spl15_87
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f1126,f1085,f795,f2114]) ).
fof(f2114,plain,
( spl15_235
<=> ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_235])]) ).
fof(f1126,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(init(X0))
| q_nil = X0 )
| ~ spl15_87
| ~ spl15_128 ),
inference(superposition,[],[f796,f1086]) ).
fof(f2112,plain,
( spl15_234
| ~ spl15_86
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1118,f1081,f791,f2110]) ).
fof(f2110,plain,
( spl15_234
<=> ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_234])]) ).
fof(f791,plain,
( spl15_86
<=> ! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_86])]) ).
fof(f1118,plain,
( ! [X0] :
( ~ ordered(X0)
| ordered(tail(X0))
| q_nil = X0 )
| ~ spl15_86
| ~ spl15_127 ),
inference(superposition,[],[f792,f1082]) ).
fof(f792,plain,
( ! [X0,X1] :
( ~ ordered(cons(X0,X1))
| ordered(X1) )
| ~ spl15_86 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f2108,plain,
( spl15_233
| ~ spl15_61
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1065,f1040,f673,f2106]) ).
fof(f2106,plain,
( spl15_233
<=> ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_233])]) ).
fof(f1065,plain,
( ! [X0,X1] :
( leq(X0,host(X1))
| ~ leq(X0,s(zero)) )
| ~ spl15_61
| ~ spl15_125 ),
inference(resolution,[],[f1041,f674]) ).
fof(f2104,plain,
( spl15_232
| ~ spl15_55
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1059,f1036,f644,f2102]) ).
fof(f2102,plain,
( spl15_232
<=> ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_232])]) ).
fof(f644,plain,
( spl15_55
<=> ! [X0] : leq(host(X0),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_55])]) ).
fof(f1059,plain,
( ! [X0] :
( host(X0) = nbr_proc
| ~ leq(nbr_proc,host(X0)) )
| ~ spl15_55
| ~ spl15_124 ),
inference(resolution,[],[f1037,f645]) ).
fof(f645,plain,
( ! [X0] : leq(host(X0),nbr_proc)
| ~ spl15_55 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f2097,plain,
( ~ spl15_230
| spl15_231
| ~ spl15_53
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1058,f1036,f635,f2094,f2090]) ).
fof(f2090,plain,
( spl15_230
<=> leq(nbr_proc,s(zero)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_230])]) ).
fof(f2094,plain,
( spl15_231
<=> s(zero) = nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl15_231])]) ).
fof(f635,plain,
( spl15_53
<=> leq(s(zero),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_53])]) ).
fof(f1058,plain,
( s(zero) = nbr_proc
| ~ leq(nbr_proc,s(zero))
| ~ spl15_53
| ~ spl15_124 ),
inference(resolution,[],[f1037,f637]) ).
fof(f637,plain,
( leq(s(zero),nbr_proc)
| ~ spl15_53 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2088,plain,
( spl15_229
| ~ spl15_84
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f1015,f976,f782,f2086]) ).
fof(f2086,plain,
( spl15_229
<=> ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_229])]) ).
fof(f976,plain,
( spl15_115
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),s(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_115])]) ).
fof(f1015,plain,
( ! [X0,X1] :
( leq(X0,X1)
| leq(s(X1),s(X0)) )
| ~ spl15_84
| ~ spl15_115 ),
inference(resolution,[],[f977,f783]) ).
fof(f977,plain,
( ! [X0,X1] :
( ~ leq(s(X0),s(X1))
| leq(X0,X1) )
| ~ spl15_115 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f2081,plain,
( ~ spl15_195
| spl15_227 ),
inference(avatar_contradiction_clause,[],[f2078]) ).
fof(f2078,plain,
( $false
| ~ spl15_195
| spl15_227 ),
inference(resolution,[],[f2072,f1645]) ).
fof(f1645,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl15_195 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f1644,plain,
( spl15_195
<=> ! [X0] : leq(X0,s(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_195])]) ).
fof(f2072,plain,
( ~ leq(nbr_proc,s(nbr_proc))
| spl15_227 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2070,plain,
( spl15_227
<=> leq(nbr_proc,s(nbr_proc)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_227])]) ).
fof(f2076,plain,
( ~ spl15_72
| spl15_226
| ~ spl15_227
| spl15_228
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146
| ~ spl15_162 ),
inference(avatar_split_clause,[],[f1978,f1383,f1232,f648,f420,f388,f2074,f2070,f2067,f727]) ).
fof(f727,plain,
( spl15_72
<=> setIn(sK3,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_72])]) ).
fof(f2067,plain,
( spl15_226
<=> ! [X0] :
( host(X0) != s(nbr_proc)
| ~ elem(m_Down(X0),queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_226])]) ).
fof(f2074,plain,
( spl15_228
<=> ! [X1] :
( nbr_proc != host(X1)
| ~ elem(m_Ack(sK3,X1),queue(host(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_228])]) ).
fof(f1232,plain,
( spl15_146
<=> ! [X11,X12,X10] :
( host(X11) != s(index(pendack,host(X12)))
| ~ setIn(X12,alive)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| elec_2 != index(status,host(X12))
| host(X10) != index(pendack,host(X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_146])]) ).
fof(f1978,plain,
( ! [X0,X1] :
( nbr_proc != host(X1)
| ~ leq(nbr_proc,s(nbr_proc))
| host(X0) != s(nbr_proc)
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146
| ~ spl15_162 ),
inference(forward_demodulation,[],[f1977,f1385]) ).
fof(f1977,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,s(nbr_proc))
| host(X0) != s(nbr_proc)
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X1) != host(sK5) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146
| ~ spl15_162 ),
inference(forward_demodulation,[],[f1976,f1385]) ).
fof(f1976,plain,
( ! [X0,X1] :
( host(X0) != s(nbr_proc)
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| ~ leq(nbr_proc,s(host(sK5)))
| host(X1) != host(sK5) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146
| ~ spl15_162 ),
inference(forward_demodulation,[],[f1252,f1385]) ).
fof(f1252,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != s(host(sK5))
| ~ leq(nbr_proc,s(host(sK5)))
| host(X1) != host(sK5) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146 ),
inference(trivial_inequality_removal,[],[f1251]) ).
fof(f1251,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != s(host(sK5))
| ~ leq(nbr_proc,s(host(sK5)))
| host(X1) != host(sK5) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1250,f390]) ).
fof(f1250,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(sK3,X1),queue(host(sK3)))
| ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != s(host(sK5))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1249,f650]) ).
fof(f1249,plain,
( ! [X0,X1] :
( ~ elem(m_Down(X0),queue(host(sK3)))
| ~ setIn(sK3,alive)
| host(X0) != s(host(sK5))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1248,f650]) ).
fof(f1248,plain,
( ! [X0,X1] :
( ~ setIn(sK3,alive)
| host(X0) != s(host(sK5))
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl15_16
| ~ spl15_56
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1239,f650]) ).
fof(f1239,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK5))
| ~ setIn(sK4,alive)
| ~ elem(m_Down(X0),queue(host(sK4)))
| ~ elem(m_Ack(sK4,X1),queue(host(sK4)))
| ~ leq(nbr_proc,s(host(sK5)))
| elec_2 != index(status,host(sK4))
| host(X1) != host(sK5) )
| ~ spl15_16
| ~ spl15_146 ),
inference(superposition,[],[f1233,f422]) ).
fof(f1233,plain,
( ! [X10,X11,X12] :
( host(X11) != s(index(pendack,host(X12)))
| ~ setIn(X12,alive)
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| elec_2 != index(status,host(X12))
| host(X10) != index(pendack,host(X12)) )
| ~ spl15_146 ),
inference(avatar_component_clause,[],[f1232]) ).
fof(f2037,plain,
( spl15_225
| ~ spl15_159
| ~ spl15_223 ),
inference(avatar_split_clause,[],[f1975,f1957,f1333,f2035]) ).
fof(f1957,plain,
( spl15_223
<=> ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_223])]) ).
fof(f1975,plain,
( ! [X0] :
( host(X0) != nbr_proc
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl15_159
| ~ spl15_223 ),
inference(forward_demodulation,[],[f1958,f1335]) ).
fof(f1958,plain,
( ! [X0] :
( host(X0) != host(sK9)
| ~ elem(m_Down(X0),queue(host(sK6))) )
| ~ spl15_223 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f1971,plain,
( ~ spl15_3
| ~ spl15_14
| ~ spl15_18
| ~ spl15_147 ),
inference(avatar_split_clause,[],[f1970,f1235,f431,f410,f352]) ).
fof(f352,plain,
( spl15_3
<=> setIn(sK7,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_3])]) ).
fof(f410,plain,
( spl15_14
<=> norm = index(status,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_14])]) ).
fof(f431,plain,
( spl15_18
<=> host(sK7) = index(ldr,host(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).
fof(f1235,plain,
( spl15_147
<=> ! [X9] :
( norm != index(status,host(X9))
| ~ setIn(X9,alive)
| host(X9) != index(ldr,host(X9)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_147])]) ).
fof(f1970,plain,
( ~ setIn(sK7,alive)
| ~ spl15_14
| ~ spl15_18
| ~ spl15_147 ),
inference(trivial_inequality_removal,[],[f1969]) ).
fof(f1969,plain,
( norm != norm
| ~ setIn(sK7,alive)
| ~ spl15_14
| ~ spl15_18
| ~ spl15_147 ),
inference(forward_demodulation,[],[f1967,f412]) ).
fof(f412,plain,
( norm = index(status,host(sK7))
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f1967,plain,
( ~ setIn(sK7,alive)
| norm != index(status,host(sK7))
| ~ spl15_18
| ~ spl15_147 ),
inference(trivial_inequality_removal,[],[f1966]) ).
fof(f1966,plain,
( host(sK7) != host(sK7)
| ~ setIn(sK7,alive)
| norm != index(status,host(sK7))
| ~ spl15_18
| ~ spl15_147 ),
inference(superposition,[],[f1236,f433]) ).
fof(f433,plain,
( host(sK7) = index(ldr,host(sK7))
| ~ spl15_18 ),
inference(avatar_component_clause,[],[f431]) ).
fof(f1236,plain,
( ! [X9] :
( host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| norm != index(status,host(X9)) )
| ~ spl15_147 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1962,plain,
( ~ spl15_2
| spl15_223
| ~ spl15_4
| spl15_224
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(avatar_split_clause,[],[f1247,f1232,f448,f436,f415,f367,f1960,f357,f1957,f347]) ).
fof(f347,plain,
( spl15_2
<=> setIn(sK10,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_2])]) ).
fof(f357,plain,
( spl15_4
<=> leq(nbr_proc,host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_4])]) ).
fof(f415,plain,
( spl15_15
<=> elec_2 = index(status,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_15])]) ).
fof(f436,plain,
( spl15_19
<=> host(sK8) = index(pendack,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_19])]) ).
fof(f1247,plain,
( ! [X0,X1] :
( host(X1) != host(sK8)
| ~ leq(nbr_proc,host(sK9))
| host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6))) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1246,f438]) ).
fof(f438,plain,
( host(sK8) = index(pendack,host(sK6))
| ~ spl15_19 ),
inference(avatar_component_clause,[],[f436]) ).
fof(f1246,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK9))
| host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(trivial_inequality_removal,[],[f1245]) ).
fof(f1245,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ leq(nbr_proc,host(sK9))
| host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1244,f417]) ).
fof(f417,plain,
( elec_2 = index(status,host(sK6))
| ~ spl15_15 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f1244,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,host(sK9))
| host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| elec_2 != index(status,host(sK6))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1243,f450]) ).
fof(f1243,plain,
( ! [X0,X1] :
( ~ leq(nbr_proc,s(host(sK8)))
| host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| elec_2 != index(status,host(sK6))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1242,f438]) ).
fof(f1242,plain,
( ! [X0,X1] :
( host(X0) != host(sK9)
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| ~ leq(nbr_proc,s(index(pendack,host(sK6))))
| elec_2 != index(status,host(sK6))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_19
| ~ spl15_21
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1241,f450]) ).
fof(f1241,plain,
( ! [X0,X1] :
( host(X0) != s(host(sK8))
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| ~ leq(nbr_proc,s(index(pendack,host(sK6))))
| elec_2 != index(status,host(sK6))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_19
| ~ spl15_146 ),
inference(forward_demodulation,[],[f1238,f438]) ).
fof(f1238,plain,
( ! [X0,X1] :
( host(X0) != s(index(pendack,host(sK6)))
| ~ setIn(sK10,alive)
| ~ elem(m_Down(X0),queue(host(sK6)))
| ~ elem(m_Ack(sK10,X1),queue(host(sK6)))
| ~ leq(nbr_proc,s(index(pendack,host(sK6))))
| elec_2 != index(status,host(sK6))
| host(X1) != index(pendack,host(sK6)) )
| ~ spl15_6
| ~ spl15_146 ),
inference(superposition,[],[f1233,f369]) ).
fof(f1900,plain,
( spl15_222
| ~ spl15_78
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1187,f1156,f752,f1898]) ).
fof(f1898,plain,
( spl15_222
<=> ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_222])]) ).
fof(f752,plain,
( spl15_78
<=> ! [X2,X1] : elem(X1,snoc(X2,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_78])]) ).
fof(f1187,plain,
( ! [X2,X0,X1] : elem(X2,cons(X0,snoc(X1,X2)))
| ~ spl15_78
| ~ spl15_138 ),
inference(superposition,[],[f753,f1157]) ).
fof(f753,plain,
( ! [X2,X1] : elem(X1,snoc(X2,X1))
| ~ spl15_78 ),
inference(avatar_component_clause,[],[f752]) ).
fof(f1896,plain,
( spl15_221
| ~ spl15_78
| ~ spl15_128 ),
inference(avatar_split_clause,[],[f1125,f1085,f752,f1894]) ).
fof(f1894,plain,
( spl15_221
<=> ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_221])]) ).
fof(f1125,plain,
( ! [X0] :
( elem(last(X0),X0)
| q_nil = X0 )
| ~ spl15_78
| ~ spl15_128 ),
inference(superposition,[],[f753,f1086]) ).
fof(f1892,plain,
( spl15_220
| ~ spl15_77
| ~ spl15_127 ),
inference(avatar_split_clause,[],[f1117,f1081,f748,f1890]) ).
fof(f1890,plain,
( spl15_220
<=> ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_220])]) ).
fof(f748,plain,
( spl15_77
<=> ! [X2,X1] : elem(X1,cons(X1,X2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_77])]) ).
fof(f1117,plain,
( ! [X0] :
( elem(head(X0),X0)
| q_nil = X0 )
| ~ spl15_77
| ~ spl15_127 ),
inference(superposition,[],[f749,f1082]) ).
fof(f749,plain,
( ! [X2,X1] : elem(X1,cons(X1,X2))
| ~ spl15_77 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f1888,plain,
( spl15_219
| ~ spl15_55
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1069,f1040,f644,f1886]) ).
fof(f1886,plain,
( spl15_219
<=> ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_219])]) ).
fof(f1069,plain,
( ! [X0,X1] :
( leq(X0,nbr_proc)
| ~ leq(X0,host(X1)) )
| ~ spl15_55
| ~ spl15_125 ),
inference(resolution,[],[f1041,f645]) ).
fof(f1884,plain,
( ~ spl15_218
| ~ spl15_34
| ~ spl15_157 ),
inference(avatar_split_clause,[],[f1435,f1325,f524,f1881]) ).
fof(f1881,plain,
( spl15_218
<=> elem(m_Down(sK3),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_218])]) ).
fof(f1325,plain,
( spl15_157
<=> ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_157])]) ).
fof(f1435,plain,
( ~ elem(m_Down(sK3),sK2)
| ~ spl15_34
| ~ spl15_157 ),
inference(resolution,[],[f1326,f525]) ).
fof(f1326,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl15_157 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1879,plain,
( spl15_217
| ~ spl15_53
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1068,f1040,f635,f1877]) ).
fof(f1877,plain,
( spl15_217
<=> ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_217])]) ).
fof(f1068,plain,
( ! [X0] :
( leq(X0,nbr_proc)
| ~ leq(X0,s(zero)) )
| ~ spl15_53
| ~ spl15_125 ),
inference(resolution,[],[f1041,f637]) ).
fof(f1875,plain,
( spl15_216
| ~ spl15_98
| ~ spl15_119 ),
inference(avatar_split_clause,[],[f1021,f993,f851,f1873]) ).
fof(f1873,plain,
( spl15_216
<=> ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_216])]) ).
fof(f1021,plain,
( ! [X2,X0,X1] :
( ~ ordered(X0)
| sP1(m_Ack(X1,X2),X0) )
| ~ spl15_98
| ~ spl15_119 ),
inference(resolution,[],[f994,f852]) ).
fof(f1871,plain,
( spl15_215
| ~ spl15_99
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f1013,f976,f855,f1869]) ).
fof(f1869,plain,
( spl15_215
<=> ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_215])]) ).
fof(f1013,plain,
( ! [X0,X1] :
( leq(X0,X1)
| ~ leq(s(X0),X1) )
| ~ spl15_99
| ~ spl15_115 ),
inference(resolution,[],[f977,f856]) ).
fof(f1852,plain,
( spl15_214
| ~ spl15_3
| ~ spl15_14
| ~ spl15_18
| ~ spl15_126 ),
inference(avatar_split_clause,[],[f1079,f1071,f431,f410,f352,f1850]) ).
fof(f1850,plain,
( spl15_214
<=> ! [X0,X1] :
( elec_2 != index(status,host(X0))
| leq(index(pendack,host(X0)),host(sK7))
| ~ setIn(X0,alive)
| ~ elem(m_Halt(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_214])]) ).
fof(f1071,plain,
( spl15_126
<=> ! [X20,X18,X19] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_126])]) ).
fof(f1079,plain,
( ! [X0,X1] :
( ~ setIn(sK7,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK7)) )
| ~ spl15_14
| ~ spl15_18
| ~ spl15_126 ),
inference(trivial_inequality_removal,[],[f1078]) ).
fof(f1078,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK7,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK7)) )
| ~ spl15_14
| ~ spl15_18
| ~ spl15_126 ),
inference(forward_demodulation,[],[f1076,f412]) ).
fof(f1076,plain,
( ! [X0,X1] :
( norm != index(status,host(sK7))
| ~ setIn(sK7,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK7)) )
| ~ spl15_18
| ~ spl15_126 ),
inference(trivial_inequality_removal,[],[f1075]) ).
fof(f1075,plain,
( ! [X0,X1] :
( host(sK7) != host(sK7)
| norm != index(status,host(sK7))
| ~ setIn(sK7,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Halt(X0),queue(host(X1)))
| ~ setIn(X0,alive)
| leq(index(pendack,host(X0)),host(sK7)) )
| ~ spl15_18
| ~ spl15_126 ),
inference(superposition,[],[f1072,f433]) ).
fof(f1072,plain,
( ! [X18,X19,X20] :
( host(X18) != index(ldr,host(X18))
| norm != index(status,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) )
| ~ spl15_126 ),
inference(avatar_component_clause,[],[f1071]) ).
fof(f1844,plain,
( spl15_213
| ~ spl15_94
| ~ spl15_98 ),
inference(avatar_split_clause,[],[f873,f851,f835,f1842]) ).
fof(f1842,plain,
( spl15_213
<=> ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_213])]) ).
fof(f873,plain,
( ! [X0,X1] :
( sP1(m_Ldr(X0),X1)
| ~ ordered(X1) )
| ~ spl15_94
| ~ spl15_98 ),
inference(resolution,[],[f852,f836]) ).
fof(f1840,plain,
( spl15_212
| ~ spl15_82
| ~ spl15_93 ),
inference(avatar_split_clause,[],[f860,f831,f774,f1838]) ).
fof(f1838,plain,
( spl15_212
<=> ! [X0] : last(cons(X0,q_nil)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_212])]) ).
fof(f831,plain,
( spl15_93
<=> ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_93])]) ).
fof(f860,plain,
( ! [X0] : last(cons(X0,q_nil)) = X0
| ~ spl15_82
| ~ spl15_93 ),
inference(superposition,[],[f775,f832]) ).
fof(f832,plain,
( ! [X0] : cons(X0,q_nil) = snoc(q_nil,X0)
| ~ spl15_93 ),
inference(avatar_component_clause,[],[f831]) ).
fof(f1836,plain,
( ~ spl15_211
| spl15_79
| ~ spl15_159 ),
inference(avatar_split_clause,[],[f1348,f1333,f759,f1833]) ).
fof(f1833,plain,
( spl15_211
<=> leq(nbr_proc,host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_211])]) ).
fof(f759,plain,
( spl15_79
<=> leq(host(sK9),host(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_79])]) ).
fof(f1348,plain,
( ~ leq(nbr_proc,host(sK8))
| spl15_79
| ~ spl15_159 ),
inference(superposition,[],[f761,f1335]) ).
fof(f761,plain,
( ~ leq(host(sK9),host(sK8))
| spl15_79 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f1831,plain,
( spl15_210
| ~ spl15_83
| ~ spl15_93 ),
inference(avatar_split_clause,[],[f859,f831,f778,f1829]) ).
fof(f1829,plain,
( spl15_210
<=> ! [X0] : q_nil = init(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_210])]) ).
fof(f859,plain,
( ! [X0] : q_nil = init(cons(X0,q_nil))
| ~ spl15_83
| ~ spl15_93 ),
inference(superposition,[],[f779,f832]) ).
fof(f1815,plain,
( spl15_209
| ~ spl15_162
| ~ spl15_208 ),
inference(avatar_split_clause,[],[f1811,f1808,f1383,f1813]) ).
fof(f1813,plain,
( spl15_209
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),nbr_proc)
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_209])]) ).
fof(f1808,plain,
( spl15_208
<=> ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| ~ leq(index(pendack,host(X0)),host(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_208])]) ).
fof(f1811,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),nbr_proc)
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl15_162
| ~ spl15_208 ),
inference(forward_demodulation,[],[f1809,f1385]) ).
fof(f1809,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| ~ leq(index(pendack,host(X0)),host(sK5)) )
| ~ spl15_208 ),
inference(avatar_component_clause,[],[f1808]) ).
fof(f1810,plain,
( ~ spl15_72
| spl15_208
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f949,f919,f648,f420,f388,f1808,f727]) ).
fof(f919,plain,
( spl15_104
<=> ! [X22,X21] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_104])]) ).
fof(f949,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| ~ leq(index(pendack,host(X0)),host(sK5))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_104 ),
inference(forward_demodulation,[],[f948,f650]) ).
fof(f948,plain,
( ! [X0] :
( ~ setIn(sK3,alive)
| ~ leq(index(pendack,host(X0)),host(sK5))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_104 ),
inference(forward_demodulation,[],[f947,f650]) ).
fof(f947,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK5))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_104 ),
inference(forward_demodulation,[],[f943,f422]) ).
fof(f943,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_104 ),
inference(trivial_inequality_removal,[],[f939]) ).
fof(f939,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK4)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_104 ),
inference(superposition,[],[f920,f390]) ).
fof(f920,plain,
( ! [X21,X22] :
( elec_2 != index(status,host(X22))
| ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
| ~ spl15_104 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f1794,plain,
( ~ spl15_2
| spl15_207
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_104 ),
inference(avatar_split_clause,[],[f946,f919,f436,f415,f367,f1792,f347]) ).
fof(f1792,plain,
( spl15_207
<=> ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK8))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_207])]) ).
fof(f946,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),host(sK8))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_104 ),
inference(forward_demodulation,[],[f945,f438]) ).
fof(f945,plain,
( ! [X0] :
( ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_104 ),
inference(trivial_inequality_removal,[],[f944]) ).
fof(f944,plain,
( ! [X0] :
( elec_2 != elec_2
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_104 ),
inference(forward_demodulation,[],[f938,f417]) ).
fof(f938,plain,
( ! [X0] :
( elec_2 != index(status,host(sK6))
| ~ leq(index(pendack,host(X0)),index(pendack,host(sK6)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_104 ),
inference(superposition,[],[f920,f369]) ).
fof(f1778,plain,
( spl15_206
| ~ spl15_72
| ~ spl15_10
| ~ spl15_56
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f917,f886,f648,f388,f727,f1776]) ).
fof(f1776,plain,
( spl15_206
<=> ! [X0,X1] :
( host(X1) != host(sK3)
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_206])]) ).
fof(f886,plain,
( spl15_103
<=> ! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_103])]) ).
fof(f917,plain,
( ! [X0,X1] :
( ~ setIn(sK3,alive)
| host(X1) != host(sK3)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_56
| ~ spl15_103 ),
inference(forward_demodulation,[],[f916,f650]) ).
fof(f916,plain,
( ! [X0,X1] :
( host(X1) != host(sK3)
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_56
| ~ spl15_103 ),
inference(forward_demodulation,[],[f913,f650]) ).
fof(f913,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK4)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_103 ),
inference(trivial_inequality_removal,[],[f909]) ).
fof(f909,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK4)
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_103 ),
inference(superposition,[],[f887,f390]) ).
fof(f887,plain,
( ! [X24,X25,X23] :
( elec_2 != index(status,host(X25))
| ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
| ~ spl15_103 ),
inference(avatar_component_clause,[],[f886]) ).
fof(f1762,plain,
( ~ spl15_2
| spl15_205
| ~ spl15_6
| ~ spl15_15
| ~ spl15_103 ),
inference(avatar_split_clause,[],[f915,f886,f415,f367,f1760,f347]) ).
fof(f1760,plain,
( spl15_205
<=> ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| ~ setIn(X0,alive)
| host(X1) != host(sK6)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_205])]) ).
fof(f915,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK6)
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_103 ),
inference(trivial_inequality_removal,[],[f914]) ).
fof(f914,plain,
( ! [X0,X1] :
( elec_2 != elec_2
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK6)
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_103 ),
inference(forward_demodulation,[],[f908,f417]) ).
fof(f908,plain,
( ! [X0,X1] :
( elec_2 != index(status,host(sK6))
| ~ elem(m_Ack(X0,X1),queue(host(X0)))
| elec_2 != index(status,host(X0))
| host(X1) != host(sK6)
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive) )
| ~ spl15_6
| ~ spl15_103 ),
inference(superposition,[],[f887,f369]) ).
fof(f1747,plain,
( spl15_204
| ~ spl15_162
| ~ spl15_203 ),
inference(avatar_split_clause,[],[f1743,f1740,f1383,f1745]) ).
fof(f1745,plain,
( spl15_204
<=> ! [X0] :
( leq(nbr_proc,host(X0))
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_204])]) ).
fof(f1740,plain,
( spl15_203
<=> ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| leq(host(sK5),host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_203])]) ).
fof(f1743,plain,
( ! [X0] :
( leq(nbr_proc,host(X0))
| leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) )
| ~ spl15_162
| ~ spl15_203 ),
inference(forward_demodulation,[],[f1741,f1385]) ).
fof(f1741,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0))
| leq(host(sK5),host(X0)) )
| ~ spl15_203 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1742,plain,
( ~ spl15_72
| spl15_203
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_102 ),
inference(avatar_split_clause,[],[f906,f882,f648,f420,f388,f1740,f727]) ).
fof(f882,plain,
( spl15_102
<=> ! [X27,X26] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_102])]) ).
fof(f906,plain,
( ! [X0] :
( leq(host(X0),host(sK3))
| ~ setIn(sK3,alive)
| leq(host(sK5),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_102 ),
inference(forward_demodulation,[],[f905,f650]) ).
fof(f905,plain,
( ! [X0] :
( ~ setIn(sK3,alive)
| leq(host(sK5),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_56
| ~ spl15_102 ),
inference(forward_demodulation,[],[f904,f650]) ).
fof(f904,plain,
( ! [X0] :
( leq(host(sK5),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_16
| ~ spl15_102 ),
inference(forward_demodulation,[],[f900,f422]) ).
fof(f900,plain,
( ! [X0] :
( leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_102 ),
inference(trivial_inequality_removal,[],[f896]) ).
fof(f896,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK4)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK4,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK4)) )
| ~ spl15_10
| ~ spl15_102 ),
inference(superposition,[],[f883,f390]) ).
fof(f883,plain,
( ! [X26,X27] :
( elec_2 != index(status,host(X27))
| leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) )
| ~ spl15_102 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f1727,plain,
( ~ spl15_2
| spl15_202
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_102 ),
inference(avatar_split_clause,[],[f903,f882,f436,f415,f367,f1725,f347]) ).
fof(f1725,plain,
( spl15_202
<=> ! [X0] :
( leq(host(sK8),host(X0))
| leq(host(X0),host(sK6))
| ~ setIn(X0,alive)
| elec_2 != index(status,host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_202])]) ).
fof(f903,plain,
( ! [X0] :
( leq(host(sK8),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_19
| ~ spl15_102 ),
inference(forward_demodulation,[],[f902,f438]) ).
fof(f902,plain,
( ! [X0] :
( leq(index(pendack,host(sK6)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_102 ),
inference(trivial_inequality_removal,[],[f901]) ).
fof(f901,plain,
( ! [X0] :
( elec_2 != elec_2
| leq(index(pendack,host(sK6)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_15
| ~ spl15_102 ),
inference(forward_demodulation,[],[f895,f417]) ).
fof(f895,plain,
( ! [X0] :
( elec_2 != index(status,host(sK6))
| leq(index(pendack,host(sK6)),host(X0))
| elec_2 != index(status,host(X0))
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| leq(host(X0),host(sK6)) )
| ~ spl15_6
| ~ spl15_102 ),
inference(superposition,[],[f883,f369]) ).
fof(f1711,plain,
( spl15_201
| ~ spl15_54
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f875,f855,f640,f1709]) ).
fof(f875,plain,
( ! [X0] : ~ leq(s(s(X0)),X0)
| ~ spl15_54
| ~ spl15_99 ),
inference(resolution,[],[f856,f641]) ).
fof(f1707,plain,
( ~ spl15_200
| spl15_191
| ~ spl15_192 ),
inference(avatar_split_clause,[],[f1681,f1611,f1607,f1704]) ).
fof(f1704,plain,
( spl15_200
<=> elem(m_Ldr(sK3),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_200])]) ).
fof(f1681,plain,
( ~ elem(m_Ldr(sK3),queue(host(sK6)))
| spl15_191
| ~ spl15_192 ),
inference(forward_demodulation,[],[f1608,f1613]) ).
fof(f1608,plain,
( ~ elem(m_Ack(sK10,sK8),queue(host(sK6)))
| spl15_191 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1680,plain,
( spl15_199
| ~ spl15_177
| ~ spl15_191 ),
inference(avatar_split_clause,[],[f1615,f1607,f1531,f1677]) ).
fof(f1677,plain,
( spl15_199
<=> setIn(sK8,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_199])]) ).
fof(f1531,plain,
( spl15_177
<=> ! [X0] :
( ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| setIn(X0,pids) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_177])]) ).
fof(f1615,plain,
( setIn(sK8,pids)
| ~ spl15_177
| ~ spl15_191 ),
inference(resolution,[],[f1609,f1532]) ).
fof(f1532,plain,
( ! [X0] :
( ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl15_177 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1669,plain,
( spl15_198
| ~ spl15_6
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1262,f1258,f367,f1667]) ).
fof(f1667,plain,
( spl15_198
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK10,X0)
| ~ ordered(cons(m_Halt(sK10),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_198])]) ).
fof(f1258,plain,
( spl15_148
<=> ! [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,[spl15_148])]) ).
fof(f1262,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(X0),X1)
| leq(sK10,X0)
| ~ ordered(cons(m_Halt(sK10),X1)) )
| ~ spl15_6
| ~ spl15_148 ),
inference(superposition,[],[f1259,f369]) ).
fof(f1259,plain,
( ! [X2,X0,X1] :
( host(X2) != host(X1)
| ~ elem(m_Down(X2),X0)
| leq(X1,X2)
| ~ ordered(cons(m_Halt(X1),X0)) )
| ~ spl15_148 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1665,plain,
( spl15_197
| ~ spl15_6
| ~ spl15_148 ),
inference(avatar_split_clause,[],[f1261,f1258,f367,f1663]) ).
fof(f1663,plain,
( spl15_197
<=> ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK10),X1)
| leq(X0,sK10)
| ~ ordered(cons(m_Halt(X0),X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_197])]) ).
fof(f1261,plain,
( ! [X0,X1] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK10),X1)
| leq(X0,sK10)
| ~ ordered(cons(m_Halt(X0),X1)) )
| ~ spl15_6
| ~ spl15_148 ),
inference(superposition,[],[f1259,f369]) ).
fof(f1659,plain,
( spl15_196
| ~ spl15_3
| ~ spl15_14
| ~ spl15_18
| ~ spl15_101 ),
inference(avatar_split_clause,[],[f894,f878,f431,f410,f352,f1657]) ).
fof(f1657,plain,
( spl15_196
<=> ! [X0,X1] :
( host(X0) != host(sK7)
| ~ setIn(X1,alive)
| ~ elem(m_Down(X0),queue(host(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_196])]) ).
fof(f878,plain,
( spl15_101
<=> ! [X29,X28,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_101])]) ).
fof(f894,plain,
( ! [X0,X1] :
( ~ setIn(sK7,alive)
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl15_14
| ~ spl15_18
| ~ spl15_101 ),
inference(trivial_inequality_removal,[],[f893]) ).
fof(f893,plain,
( ! [X0,X1] :
( norm != norm
| ~ setIn(sK7,alive)
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl15_14
| ~ spl15_18
| ~ spl15_101 ),
inference(forward_demodulation,[],[f891,f412]) ).
fof(f891,plain,
( ! [X0,X1] :
( norm != index(status,host(sK7))
| ~ setIn(sK7,alive)
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl15_18
| ~ spl15_101 ),
inference(trivial_inequality_removal,[],[f890]) ).
fof(f890,plain,
( ! [X0,X1] :
( host(sK7) != host(sK7)
| norm != index(status,host(sK7))
| ~ setIn(sK7,alive)
| host(X0) != host(sK7)
| ~ elem(m_Down(X0),queue(host(X1)))
| ~ setIn(X1,alive) )
| ~ spl15_18
| ~ spl15_101 ),
inference(superposition,[],[f879,f433]) ).
fof(f879,plain,
( ! [X28,X29,X30] :
( host(X28) != index(ldr,host(X28))
| norm != index(status,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) )
| ~ spl15_101 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f1646,plain,
( spl15_195
| ~ spl15_54
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f822,f782,f640,f1644]) ).
fof(f822,plain,
( ! [X0] : leq(X0,s(X0))
| ~ spl15_54
| ~ spl15_84 ),
inference(resolution,[],[f783,f641]) ).
fof(f1641,plain,
( ~ spl15_2
| spl15_194
| ~ spl15_6
| ~ spl15_19
| ~ spl15_58 ),
inference(avatar_split_clause,[],[f663,f659,f436,f367,f1639,f347]) ).
fof(f1639,plain,
( spl15_194
<=> ! [X0] :
( leq(host(X0),host(sK8))
| ~ elem(m_Ack(sK10,X0),queue(host(sK6))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_194])]) ).
fof(f659,plain,
( spl15_58
<=> ! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_58])]) ).
fof(f663,plain,
( ! [X0] :
( leq(host(X0),host(sK8))
| ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| ~ setIn(sK10,alive) )
| ~ spl15_6
| ~ spl15_19
| ~ spl15_58 ),
inference(forward_demodulation,[],[f662,f438]) ).
fof(f662,plain,
( ! [X0] :
( ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| leq(host(X0),index(pendack,host(sK6)))
| ~ setIn(sK10,alive) )
| ~ spl15_6
| ~ spl15_58 ),
inference(superposition,[],[f660,f369]) ).
fof(f660,plain,
( ! [X34,X35] :
( ~ elem(m_Ack(X35,X34),queue(host(X35)))
| leq(host(X34),index(pendack,host(X35)))
| ~ setIn(X35,alive) )
| ~ spl15_58 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f1635,plain,
( ~ spl15_2
| spl15_193
| ~ spl15_6
| ~ spl15_49 ),
inference(avatar_split_clause,[],[f599,f596,f367,f1633,f347]) ).
fof(f1633,plain,
( spl15_193
<=> ! [X0] :
( host(X0) != host(sK6)
| sK10 = X0
| ~ setIn(X0,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_193])]) ).
fof(f596,plain,
( spl15_49
<=> ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_49])]) ).
fof(f599,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ setIn(sK10,alive)
| ~ setIn(X0,alive)
| sK10 = X0 )
| ~ spl15_6
| ~ spl15_49 ),
inference(superposition,[],[f597,f369]) ).
fof(f597,plain,
( ! [X36,X37] :
( host(X36) != host(X37)
| ~ setIn(X36,alive)
| ~ setIn(X37,alive)
| X36 = X37 )
| ~ spl15_49 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f1614,plain,
( spl15_191
| spl15_192
| ~ spl15_27
| ~ spl15_56
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1214,f1164,f648,f480,f1611,f1607]) ).
fof(f480,plain,
( spl15_27
<=> elem(m_Ack(sK10,sK8),snoc(queue(host(sK6)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_27])]) ).
fof(f1214,plain,
( m_Ack(sK10,sK8) = m_Ldr(sK3)
| elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl15_27
| ~ spl15_56
| ~ spl15_140 ),
inference(forward_demodulation,[],[f1205,f650]) ).
fof(f1205,plain,
( m_Ldr(sK4) = m_Ack(sK10,sK8)
| elem(m_Ack(sK10,sK8),queue(host(sK6)))
| ~ spl15_27
| ~ spl15_140 ),
inference(resolution,[],[f1165,f482]) ).
fof(f482,plain,
( elem(m_Ack(sK10,sK8),snoc(queue(host(sK6)),m_Ldr(sK4)))
| ~ spl15_27 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f1605,plain,
( spl15_190
| ~ spl15_23
| ~ spl15_56
| ~ spl15_139 ),
inference(avatar_split_clause,[],[f1203,f1160,f648,f458,f1603]) ).
fof(f1603,plain,
( spl15_190
<=> ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_190])]) ).
fof(f458,plain,
( spl15_23
<=> queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).
fof(f1203,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK3)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl15_23
| ~ spl15_56
| ~ spl15_139 ),
inference(forward_demodulation,[],[f1201,f650]) ).
fof(f1201,plain,
( ! [X0] :
( ~ elem(X0,queue(host(sK4)))
| m_Ack(sK3,sK5) = X0
| elem(X0,sK2) )
| ~ spl15_23
| ~ spl15_139 ),
inference(superposition,[],[f1161,f460]) ).
fof(f460,plain,
( queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
| ~ spl15_23 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f1601,plain,
( spl15_189
| ~ spl15_23
| ~ spl15_56
| ~ spl15_138 ),
inference(avatar_split_clause,[],[f1196,f1156,f648,f458,f1599]) ).
fof(f1599,plain,
( spl15_189
<=> ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_189])]) ).
fof(f1196,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK3)),X0)
| ~ spl15_23
| ~ spl15_56
| ~ spl15_138 ),
inference(forward_demodulation,[],[f1184,f650]) ).
fof(f1184,plain,
( ! [X0] : cons(m_Ack(sK3,sK5),snoc(sK2,X0)) = snoc(queue(host(sK4)),X0)
| ~ spl15_23
| ~ spl15_138 ),
inference(superposition,[],[f1157,f460]) ).
fof(f1597,plain,
( ~ spl15_188
| spl15_163
| ~ spl15_166 ),
inference(avatar_split_clause,[],[f1460,f1456,f1442,f1594]) ).
fof(f1594,plain,
( spl15_188
<=> sK6 = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_188])]) ).
fof(f1442,plain,
( spl15_163
<=> sK6 = index(elid,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_163])]) ).
fof(f1456,plain,
( spl15_166
<=> sK10 = index(elid,host(sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_166])]) ).
fof(f1460,plain,
( sK6 != sK10
| spl15_163
| ~ spl15_166 ),
inference(superposition,[],[f1443,f1458]) ).
fof(f1458,plain,
( sK10 = index(elid,host(sK6))
| ~ spl15_166 ),
inference(avatar_component_clause,[],[f1456]) ).
fof(f1443,plain,
( sK6 != index(elid,host(sK6))
| spl15_163 ),
inference(avatar_component_clause,[],[f1442]) ).
fof(f1592,plain,
( spl15_187
| ~ spl15_44
| ~ spl15_118 ),
inference(avatar_split_clause,[],[f1020,f989,f575,f1590]) ).
fof(f1590,plain,
( spl15_187
<=> ! [X0] : sP1(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_187])]) ).
fof(f575,plain,
( spl15_44
<=> ! [X0] : ~ elem(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_44])]) ).
fof(f1020,plain,
( ! [X0] : sP1(X0,q_nil)
| ~ spl15_44
| ~ spl15_118 ),
inference(resolution,[],[f990,f576]) ).
fof(f576,plain,
( ! [X0] : ~ elem(X0,q_nil)
| ~ spl15_44 ),
inference(avatar_component_clause,[],[f575]) ).
fof(f1588,plain,
( spl15_186
| ~ spl15_57
| ~ spl15_96 ),
inference(avatar_split_clause,[],[f865,f843,f653,f1586]) ).
fof(f1586,plain,
( spl15_186
<=> ! [X0] : sP0(X0,q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_186])]) ).
fof(f653,plain,
( spl15_57
<=> ! [X0] : ordered(cons(X0,q_nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_57])]) ).
fof(f865,plain,
( ! [X0] : sP0(X0,q_nil)
| ~ spl15_57
| ~ spl15_96 ),
inference(resolution,[],[f844,f654]) ).
fof(f654,plain,
( ! [X0] : ordered(cons(X0,q_nil))
| ~ spl15_57 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1573,plain,
( spl15_185
| ~ spl15_159
| ~ spl15_184 ),
inference(avatar_split_clause,[],[f1569,f1565,f1333,f1571]) ).
fof(f1571,plain,
( spl15_185
<=> ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_185])]) ).
fof(f1565,plain,
( spl15_184
<=> ! [X0] :
( ~ leq(X0,host(sK9))
| host(sK9) = X0
| leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_184])]) ).
fof(f1569,plain,
( ! [X0] :
( nbr_proc = X0
| ~ leq(X0,nbr_proc)
| leq(X0,host(sK8)) )
| ~ spl15_159
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1568,f1335]) ).
fof(f1568,plain,
( ! [X0] :
( ~ leq(X0,nbr_proc)
| host(sK9) = X0
| leq(X0,host(sK8)) )
| ~ spl15_159
| ~ spl15_184 ),
inference(forward_demodulation,[],[f1566,f1335]) ).
fof(f1566,plain,
( ! [X0] :
( ~ leq(X0,host(sK9))
| host(sK9) = X0
| leq(X0,host(sK8)) )
| ~ spl15_184 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1567,plain,
( spl15_184
| ~ spl15_21
| ~ spl15_137 ),
inference(avatar_split_clause,[],[f1174,f1152,f448,f1565]) ).
fof(f1174,plain,
( ! [X0] :
( ~ leq(X0,host(sK9))
| host(sK9) = X0
| leq(X0,host(sK8)) )
| ~ spl15_21
| ~ spl15_137 ),
inference(superposition,[],[f1153,f450]) ).
fof(f1560,plain,
( spl15_182
| spl15_183
| ~ spl15_25
| ~ spl15_56
| ~ spl15_140 ),
inference(avatar_split_clause,[],[f1213,f1164,f648,f469,f1557,f1553]) ).
fof(f469,plain,
( spl15_25
<=> elem(m_Down(sK9),snoc(queue(host(sK6)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_25])]) ).
fof(f1213,plain,
( m_Down(sK9) = m_Ldr(sK3)
| elem(m_Down(sK9),queue(host(sK6)))
| ~ spl15_25
| ~ spl15_56
| ~ spl15_140 ),
inference(forward_demodulation,[],[f1204,f650]) ).
fof(f1204,plain,
( m_Ldr(sK4) = m_Down(sK9)
| elem(m_Down(sK9),queue(host(sK6)))
| ~ spl15_25
| ~ spl15_140 ),
inference(resolution,[],[f1165,f471]) ).
fof(f471,plain,
( elem(m_Down(sK9),snoc(queue(host(sK6)),m_Ldr(sK4)))
| ~ spl15_25 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f1551,plain,
( spl15_181
| ~ spl15_6
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f498,f489,f367,f1549]) ).
fof(f1549,plain,
( spl15_181
<=> ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK10),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_181])]) ).
fof(f489,plain,
( spl15_29
<=> ! [X44,X43] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_29])]) ).
fof(f498,plain,
( ! [X0] :
( host(X0) != host(sK6)
| ~ elem(m_Down(sK10),queue(host(X0))) )
| ~ spl15_6
| ~ spl15_29 ),
inference(superposition,[],[f490,f369]) ).
fof(f490,plain,
( ! [X44,X43] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) )
| ~ spl15_29 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f1547,plain,
( ~ spl15_179
| spl15_180
| ~ spl15_159
| ~ spl15_178 ),
inference(avatar_split_clause,[],[f1539,f1535,f1333,f1545,f1541]) ).
fof(f1541,plain,
( spl15_179
<=> nbr_proc = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_179])]) ).
fof(f1545,plain,
( spl15_180
<=> ! [X0] : host(X0) != nbr_proc ),
introduced(avatar_definition,[new_symbols(naming,[spl15_180])]) ).
fof(f1535,plain,
( spl15_178
<=> ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_178])]) ).
fof(f1539,plain,
( ! [X0] :
( host(X0) != nbr_proc
| nbr_proc != host(sK8) )
| ~ spl15_159
| ~ spl15_178 ),
inference(inner_rewriting,[],[f1538]) ).
fof(f1538,plain,
( ! [X0] :
( host(X0) != nbr_proc
| host(X0) != host(sK8) )
| ~ spl15_159
| ~ spl15_178 ),
inference(forward_demodulation,[],[f1536,f1335]) ).
fof(f1536,plain,
( ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK8) )
| ~ spl15_178 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1537,plain,
( spl15_178
| ~ spl15_21
| ~ spl15_136 ),
inference(avatar_split_clause,[],[f1168,f1148,f448,f1535]) ).
fof(f1148,plain,
( spl15_136
<=> ! [X0,X1] :
( host(X0) != host(X1)
| host(X1) != s(host(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_136])]) ).
fof(f1168,plain,
( ! [X0] :
( host(X0) != host(sK9)
| host(X0) != host(sK8) )
| ~ spl15_21
| ~ spl15_136 ),
inference(superposition,[],[f1149,f450]) ).
fof(f1149,plain,
( ! [X0,X1] :
( host(X1) != s(host(X0))
| host(X0) != host(X1) )
| ~ spl15_136 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1533,plain,
( spl15_177
| ~ spl15_6
| ~ spl15_130 ),
inference(avatar_split_clause,[],[f1131,f1095,f367,f1531]) ).
fof(f1095,plain,
( spl15_130
<=> ! [X0,X1] :
( setIn(X1,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_130])]) ).
fof(f1131,plain,
( ! [X0] :
( ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| setIn(X0,pids) )
| ~ spl15_6
| ~ spl15_130 ),
inference(superposition,[],[f1096,f369]) ).
fof(f1096,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X1,pids) )
| ~ spl15_130 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1529,plain,
( spl15_175
| spl15_176
| ~ spl15_6
| ~ spl15_129 ),
inference(avatar_split_clause,[],[f1130,f1089,f367,f1527,f1523]) ).
fof(f1523,plain,
( spl15_175
<=> setIn(sK10,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_175])]) ).
fof(f1527,plain,
( spl15_176
<=> ! [X0] : ~ elem(m_Ack(sK10,X0),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_176])]) ).
fof(f1089,plain,
( spl15_129
<=> ! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_129])]) ).
fof(f1130,plain,
( ! [X0] :
( ~ elem(m_Ack(sK10,X0),queue(host(sK6)))
| setIn(sK10,pids) )
| ~ spl15_6
| ~ spl15_129 ),
inference(superposition,[],[f1090,f369]) ).
fof(f1090,plain,
( ! [X0,X1] :
( ~ elem(m_Ack(X0,X1),queue(host(X0)))
| setIn(X0,pids) )
| ~ spl15_129 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1517,plain,
( spl15_174
| ~ spl15_159
| ~ spl15_173 ),
inference(avatar_split_clause,[],[f1513,f1510,f1333,f1515]) ).
fof(f1515,plain,
( spl15_174
<=> ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_174])]) ).
fof(f1510,plain,
( spl15_173
<=> ! [X0] :
( ~ leq(s(X0),host(sK9))
| leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_173])]) ).
fof(f1513,plain,
( ! [X0] :
( ~ leq(s(X0),nbr_proc)
| leq(X0,host(sK8)) )
| ~ spl15_159
| ~ spl15_173 ),
inference(forward_demodulation,[],[f1511,f1335]) ).
fof(f1511,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK9))
| leq(X0,host(sK8)) )
| ~ spl15_173 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1512,plain,
( spl15_173
| ~ spl15_21
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f1018,f976,f448,f1510]) ).
fof(f1018,plain,
( ! [X0] :
( ~ leq(s(X0),host(sK9))
| leq(X0,host(sK8)) )
| ~ spl15_21
| ~ spl15_115 ),
inference(superposition,[],[f977,f450]) ).
fof(f1504,plain,
( spl15_172
| ~ spl15_159
| ~ spl15_171 ),
inference(avatar_split_clause,[],[f1500,f1497,f1333,f1502]) ).
fof(f1497,plain,
( spl15_171
<=> ! [X0] :
( ~ leq(host(sK9),s(X0))
| leq(host(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_171])]) ).
fof(f1500,plain,
( ! [X0] :
( ~ leq(nbr_proc,s(X0))
| leq(host(sK8),X0) )
| ~ spl15_159
| ~ spl15_171 ),
inference(forward_demodulation,[],[f1498,f1335]) ).
fof(f1498,plain,
( ! [X0] :
( ~ leq(host(sK9),s(X0))
| leq(host(sK8),X0) )
| ~ spl15_171 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1499,plain,
( spl15_171
| ~ spl15_21
| ~ spl15_115 ),
inference(avatar_split_clause,[],[f1017,f976,f448,f1497]) ).
fof(f1017,plain,
( ! [X0] :
( ~ leq(host(sK9),s(X0))
| leq(host(sK8),X0) )
| ~ spl15_21
| ~ spl15_115 ),
inference(superposition,[],[f977,f450]) ).
fof(f1490,plain,
( spl15_170
| ~ spl15_159
| ~ spl15_169 ),
inference(avatar_split_clause,[],[f1486,f1483,f1333,f1488]) ).
fof(f1483,plain,
( spl15_169
<=> ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_169])]) ).
fof(f1486,plain,
( ! [X0] :
( leq(s(X0),nbr_proc)
| ~ leq(X0,host(sK8)) )
| ~ spl15_159
| ~ spl15_169 ),
inference(forward_demodulation,[],[f1484,f1335]) ).
fof(f1484,plain,
( ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK8)) )
| ~ spl15_169 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f1485,plain,
( spl15_169
| ~ spl15_21
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f1011,f972,f448,f1483]) ).
fof(f1011,plain,
( ! [X0] :
( leq(s(X0),host(sK9))
| ~ leq(X0,host(sK8)) )
| ~ spl15_21
| ~ spl15_114 ),
inference(superposition,[],[f973,f450]) ).
fof(f1469,plain,
( spl15_168
| ~ spl15_159
| ~ spl15_167 ),
inference(avatar_split_clause,[],[f1465,f1462,f1333,f1467]) ).
fof(f1467,plain,
( spl15_168
<=> ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_168])]) ).
fof(f1462,plain,
( spl15_167
<=> ! [X0] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_167])]) ).
fof(f1465,plain,
( ! [X0] :
( leq(nbr_proc,s(X0))
| ~ leq(host(sK8),X0) )
| ~ spl15_159
| ~ spl15_167 ),
inference(forward_demodulation,[],[f1463,f1335]) ).
fof(f1463,plain,
( ! [X0] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK8),X0) )
| ~ spl15_167 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1464,plain,
( spl15_167
| ~ spl15_21
| ~ spl15_114 ),
inference(avatar_split_clause,[],[f1010,f972,f448,f1462]) ).
fof(f1010,plain,
( ! [X0] :
( leq(host(sK9),s(X0))
| ~ leq(host(sK8),X0) )
| ~ spl15_21
| ~ spl15_114 ),
inference(superposition,[],[f973,f450]) ).
fof(f1459,plain,
( spl15_166
| ~ spl15_2
| ~ spl15_6
| ~ spl15_15
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f623,f608,f415,f367,f347,f1456]) ).
fof(f608,plain,
( spl15_51
<=> ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_51])]) ).
fof(f623,plain,
( ~ setIn(sK10,alive)
| sK10 = index(elid,host(sK6))
| ~ spl15_6
| ~ spl15_15
| ~ spl15_51 ),
inference(trivial_inequality_removal,[],[f622]) ).
fof(f622,plain,
( elec_2 != elec_2
| ~ setIn(sK10,alive)
| sK10 = index(elid,host(sK6))
| ~ spl15_6
| ~ spl15_15
| ~ spl15_51 ),
inference(forward_demodulation,[],[f616,f417]) ).
fof(f616,plain,
( elec_2 != index(status,host(sK6))
| ~ setIn(sK10,alive)
| sK10 = index(elid,host(sK6))
| ~ spl15_6
| ~ spl15_51 ),
inference(superposition,[],[f609,f369]) ).
fof(f609,plain,
( ! [X31] :
( elec_2 != index(status,host(X31))
| ~ setIn(X31,alive)
| index(elid,host(X31)) = X31 )
| ~ spl15_51 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f1454,plain,
( spl15_165
| ~ spl15_129
| ~ spl15_151 ),
inference(avatar_split_clause,[],[f1306,f1287,f1089,f1451]) ).
fof(f1451,plain,
( spl15_165
<=> setIn(sK3,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_165])]) ).
fof(f1306,plain,
( setIn(sK3,pids)
| ~ spl15_129
| ~ spl15_151 ),
inference(resolution,[],[f1289,f1090]) ).
fof(f1449,plain,
( spl15_163
| ~ spl15_164
| ~ spl15_15
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f620,f608,f415,f1446,f1442]) ).
fof(f1446,plain,
( spl15_164
<=> setIn(sK6,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_164])]) ).
fof(f620,plain,
( ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl15_15
| ~ spl15_51 ),
inference(trivial_inequality_removal,[],[f619]) ).
fof(f619,plain,
( elec_2 != elec_2
| ~ setIn(sK6,alive)
| sK6 = index(elid,host(sK6))
| ~ spl15_15
| ~ spl15_51 ),
inference(superposition,[],[f609,f417]) ).
fof(f1390,plain,
( ~ spl15_55
| spl15_161 ),
inference(avatar_contradiction_clause,[],[f1387]) ).
fof(f1387,plain,
( $false
| ~ spl15_55
| spl15_161 ),
inference(resolution,[],[f1381,f645]) ).
fof(f1381,plain,
( ~ leq(host(sK5),nbr_proc)
| spl15_161 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl15_161
<=> leq(host(sK5),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_161])]) ).
fof(f1386,plain,
( ~ spl15_161
| spl15_162
| ~ spl15_12
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1054,f1036,f399,f1383,f1379]) ).
fof(f399,plain,
( spl15_12
<=> leq(nbr_proc,host(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_12])]) ).
fof(f1054,plain,
( nbr_proc = host(sK5)
| ~ leq(host(sK5),nbr_proc)
| ~ spl15_12
| ~ spl15_124 ),
inference(resolution,[],[f1037,f401]) ).
fof(f401,plain,
( leq(nbr_proc,host(sK5))
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1345,plain,
( spl15_160
| ~ spl15_130
| ~ spl15_151 ),
inference(avatar_split_clause,[],[f1305,f1287,f1095,f1342]) ).
fof(f1342,plain,
( spl15_160
<=> setIn(sK5,pids) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_160])]) ).
fof(f1305,plain,
( setIn(sK5,pids)
| ~ spl15_130
| ~ spl15_151 ),
inference(resolution,[],[f1289,f1096]) ).
fof(f1340,plain,
( ~ spl15_55
| spl15_158 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl15_55
| spl15_158 ),
inference(resolution,[],[f1331,f645]) ).
fof(f1331,plain,
( ~ leq(host(sK9),nbr_proc)
| spl15_158 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl15_158
<=> leq(host(sK9),nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_158])]) ).
fof(f1336,plain,
( ~ spl15_158
| spl15_159
| ~ spl15_4
| ~ spl15_124 ),
inference(avatar_split_clause,[],[f1053,f1036,f357,f1333,f1329]) ).
fof(f1053,plain,
( nbr_proc = host(sK9)
| ~ leq(host(sK9),nbr_proc)
| ~ spl15_4
| ~ spl15_124 ),
inference(resolution,[],[f1037,f359]) ).
fof(f359,plain,
( leq(nbr_proc,host(sK9))
| ~ spl15_4 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f1327,plain,
( spl15_157
| ~ spl15_23
| ~ spl15_56
| ~ spl15_120 ),
inference(avatar_split_clause,[],[f1025,f997,f648,f458,f1325]) ).
fof(f1025,plain,
( ! [X0] :
( elem(X0,queue(host(sK3)))
| ~ elem(X0,sK2) )
| ~ spl15_23
| ~ spl15_56
| ~ spl15_120 ),
inference(forward_demodulation,[],[f1024,f650]) ).
fof(f1024,plain,
( ! [X0] :
( elem(X0,queue(host(sK4)))
| ~ elem(X0,sK2) )
| ~ spl15_23
| ~ spl15_120 ),
inference(superposition,[],[f998,f460]) ).
fof(f1323,plain,
( spl15_156
| ~ spl15_21
| ~ spl15_99 ),
inference(avatar_split_clause,[],[f876,f855,f448,f1321]) ).
fof(f1321,plain,
( spl15_156
<=> ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,host(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_156])]) ).
fof(f876,plain,
( ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,host(sK8)) )
| ~ spl15_21
| ~ spl15_99 ),
inference(superposition,[],[f856,f450]) ).
fof(f1319,plain,
( spl15_155
| ~ spl15_23
| ~ spl15_56
| ~ spl15_80 ),
inference(avatar_split_clause,[],[f819,f766,f648,f458,f1316]) ).
fof(f1316,plain,
( spl15_155
<=> m_Ack(sK3,sK5) = head(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_155])]) ).
fof(f766,plain,
( spl15_80
<=> ! [X0,X1] : head(cons(X0,X1)) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_80])]) ).
fof(f819,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK3)))
| ~ spl15_23
| ~ spl15_56
| ~ spl15_80 ),
inference(forward_demodulation,[],[f818,f650]) ).
fof(f818,plain,
( m_Ack(sK3,sK5) = head(queue(host(sK4)))
| ~ spl15_23
| ~ spl15_80 ),
inference(superposition,[],[f767,f460]) ).
fof(f767,plain,
( ! [X0,X1] : head(cons(X0,X1)) = X0
| ~ spl15_80 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f1303,plain,
( spl15_154
| ~ spl15_12
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1064,f1040,f399,f1301]) ).
fof(f1064,plain,
( ! [X0] :
( leq(X0,host(sK5))
| ~ leq(X0,nbr_proc) )
| ~ spl15_12
| ~ spl15_125 ),
inference(resolution,[],[f1041,f401]) ).
fof(f1299,plain,
( spl15_153
| ~ spl15_4
| ~ spl15_125 ),
inference(avatar_split_clause,[],[f1063,f1040,f357,f1297]) ).
fof(f1063,plain,
( ! [X0] :
( leq(X0,host(sK9))
| ~ leq(X0,nbr_proc) )
| ~ spl15_4
| ~ spl15_125 ),
inference(resolution,[],[f1041,f359]) ).
fof(f1295,plain,
( ~ spl15_152
| ~ spl15_6
| ~ spl15_34 ),
inference(avatar_split_clause,[],[f594,f524,f367,f1292]) ).
fof(f1292,plain,
( spl15_152
<=> elem(m_Down(sK10),queue(host(sK6))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_152])]) ).
fof(f594,plain,
( ~ elem(m_Down(sK10),queue(host(sK6)))
| ~ spl15_6
| ~ spl15_34 ),
inference(superposition,[],[f525,f369]) ).
fof(f1290,plain,
( spl15_151
| ~ spl15_23
| ~ spl15_56
| ~ spl15_77 ),
inference(avatar_split_clause,[],[f764,f748,f648,f458,f1287]) ).
fof(f764,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK3)))
| ~ spl15_23
| ~ spl15_56
| ~ spl15_77 ),
inference(forward_demodulation,[],[f763,f650]) ).
fof(f763,plain,
( elem(m_Ack(sK3,sK5),queue(host(sK4)))
| ~ spl15_23
| ~ spl15_77 ),
inference(superposition,[],[f749,f460]) ).
fof(f1271,plain,
spl15_150,
inference(avatar_split_clause,[],[f290,f1269]) ).
fof(f290,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(sK14(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK14(X0,X1)))
& pidElem(sK14(X0,X1))
& pidElem(X0)
& elem(sK14(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,[sK14])],[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(sK14(X0,X1)),pidMsg(X0))
& host(pidMsg(X0)) = host(pidMsg(sK14(X0,X1)))
& pidElem(sK14(X0,X1))
& pidElem(X0)
& elem(sK14(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(f1267,plain,
spl15_149,
inference(avatar_split_clause,[],[f281,f1265]) ).
fof(f281,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(sK13(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(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,[sK13])],[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(sK13(X0,X1)))
& host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1)))
& pidElem(sK13(X0,X1))
& pidElem(X0)
& elem(sK13(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(f1260,plain,
spl15_148,
inference(avatar_split_clause,[],[f313,f1258]) ).
fof(f313,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(f1237,plain,
( spl15_146
| spl15_147 ),
inference(avatar_split_clause,[],[f201,f1235,f1232]) ).
fof(f201,plain,
! [X10,X11,X9,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| host(X11) != s(index(pendack,host(X12)))
| host(X10) != index(pendack,host(X12))
| elec_2 != index(status,host(X12))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
( norm = index(status,host(sK7))
& host(sK7) = index(ldr,host(sK7))
& setIn(sK7,alive)
& host(sK9) = s(index(pendack,host(sK10)))
& index(pendack,host(sK10)) = host(sK8)
& elec_2 = index(status,host(sK10))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK10))))
& setIn(sK10,alive)
& host(sK4) != host(sK10)
& host(sK6) = host(sK10)
& host(sK4) != host(sK7)
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| host(X11) != s(index(pendack,host(X12)))
| host(X10) != index(pendack,host(X12))
| elec_2 != index(status,host(X12))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,host(X16))
| host(X14) != host(X16)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(host(X16)))
| ( host(X15) != sK11(X15,X16)
& ~ setIn(sK11(X15,X16),index(down,host(X16)))
& leq(s(zero),sK11(X15,X16))
& ~ leq(host(X16),sK11(X15,X16)) ) )
& ! [X18,X19,X20] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| ( elec_2 != index(status,host(X31))
& elec_1 != index(status,host(X31)) ) )
& ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 )
& ! [X38,X39,X40] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) )
& ! [X43,X44] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) )
& ! [X45,X46] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11])],[f146,f151,f150,f149,f148,f147]) ).
fof(f147,plain,
( ? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X2) != host(X8)
& host(X4) = host(X8) )
& host(X2) != host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| host(X11) != s(index(pendack,host(X12)))
| host(X10) != index(pendack,host(X12))
| elec_2 != index(status,host(X12))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,host(X16))
| host(X14) != host(X16)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(host(X16)))
| ? [X17] :
( host(X15) != X17
& ~ setIn(X17,index(down,host(X16)))
& leq(s(zero),X17)
& ~ leq(host(X16),X17) ) )
& ! [X18,X19,X20] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| ( elec_2 != index(status,host(X31))
& elec_1 != index(status,host(X31)) ) )
& ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 )
& ! [X38,X39,X40] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) )
& ! [X43,X44] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) )
& ! [X45,X46] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ) )
=> ( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X4) = host(X8) )
& host(X5) != host(sK4) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
& leq(nbr_proc,index(pendack,host(sK4)))
& host(sK5) = index(pendack,host(sK4))
& elec_2 = index(status,host(sK4))
& sK3 = index(elid,host(sK4))
& setIn(sK4,alive)
& queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| host(X11) != s(index(pendack,host(X12)))
| host(X10) != index(pendack,host(X12))
| elec_2 != index(status,host(X12))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,host(X16))
| host(X14) != host(X16)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(host(X16)))
| ? [X17] :
( host(X15) != X17
& ~ setIn(X17,index(down,host(X16)))
& leq(s(zero),X17)
& ~ leq(host(X16),X17) ) )
& ! [X18,X19,X20] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| ( elec_2 != index(status,host(X31))
& elec_1 != index(status,host(X31)) ) )
& ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 )
& ! [X38,X39,X40] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) )
& ! [X43,X44] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) )
& ! [X45,X46] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f148,plain,
( ? [X4] :
( ? [X5] :
( ? [X8,X7,X6] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X4) = host(X8) )
& host(X5) != host(sK4) )
& ( host(X4) = host(sK5)
| setIn(host(X4),index(acks,host(sK4))) ) )
=> ( ? [X5] :
( ? [X8,X7,X6] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X8) = host(sK6) )
& host(X5) != host(sK4) )
& ( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
( ? [X5] :
( ? [X8,X7,X6] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X8) = host(sK6) )
& host(X5) != host(sK4) )
=> ( ? [X8,X7,X6] :
( norm = index(status,host(sK7))
& host(sK7) = index(ldr,host(sK7))
& setIn(sK7,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X8) = host(sK6) )
& host(sK4) != host(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
( ? [X8,X7,X6] :
( norm = index(status,host(sK7))
& host(sK7) = index(ldr,host(sK7))
& setIn(sK7,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(sK4)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X8) != host(sK4)
& host(X8) = host(sK6) )
=> ( norm = index(status,host(sK7))
& host(sK7) = index(ldr,host(sK7))
& setIn(sK7,alive)
& host(sK9) = s(index(pendack,host(sK10)))
& index(pendack,host(sK10)) = host(sK8)
& elec_2 = index(status,host(sK10))
& elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
& elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
& leq(nbr_proc,s(index(pendack,host(sK10))))
& setIn(sK10,alive)
& host(sK4) != host(sK10)
& host(sK6) = host(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f151,plain,
! [X15,X16] :
( ? [X17] :
( host(X15) != X17
& ~ setIn(X17,index(down,host(X16)))
& leq(s(zero),X17)
& ~ leq(host(X16),X17) )
=> ( host(X15) != sK11(X15,X16)
& ~ setIn(sK11(X15,X16),index(down,host(X16)))
& leq(s(zero),sK11(X15,X16))
& ~ leq(host(X16),sK11(X15,X16)) ) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
? [X0,X1,X2,X3] :
( ? [X4] :
( ? [X5] :
( ? [X6,X7,X8] :
( norm = index(status,host(X5))
& host(X5) = index(ldr,host(X5))
& setIn(X5,alive)
& host(X7) = s(index(pendack,host(X8)))
& host(X6) = index(pendack,host(X8))
& elec_2 = index(status,host(X8))
& elem(m_Ack(X8,X6),snoc(queue(host(X8)),m_Ldr(X2)))
& elem(m_Down(X7),snoc(queue(host(X8)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X8))))
& setIn(X8,alive)
& host(X2) != host(X8)
& host(X4) = host(X8) )
& host(X2) != host(X5) )
& ( host(X3) = host(X4)
| setIn(host(X4),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X9,X10,X11,X12] :
( norm != index(status,host(X9))
| host(X9) != index(ldr,host(X9))
| ~ setIn(X9,alive)
| host(X11) != s(index(pendack,host(X12)))
| host(X10) != index(pendack,host(X12))
| elec_2 != index(status,host(X12))
| ~ leq(nbr_proc,s(index(pendack,host(X12))))
| ~ elem(m_Ack(X12,X10),queue(host(X12)))
| ~ elem(m_Down(X11),queue(host(X12)))
| ~ setIn(X12,alive) )
& ! [X13,X14,X15,X16] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,host(X16))
| host(X14) != host(X16)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(host(X16)))
| ? [X17] :
( host(X15) != X17
& ~ setIn(X17,index(down,host(X16)))
& leq(s(zero),X17)
& ~ leq(host(X16),X17) ) )
& ! [X18,X19,X20] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) )
& ! [X21,X22] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) )
& ! [X26,X27] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) )
& ! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| ( elec_2 != index(status,host(X31))
& elec_1 != index(status,host(X31)) ) )
& ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) )
& ! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) )
& ! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 )
& ! [X38,X39,X40] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) )
& ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) )
& ! [X43,X44] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) )
& ! [X45,X46] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ) ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( norm = index(status,host(X43))
& host(X43) = index(ldr,host(X43))
& setIn(X43,alive)
& s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) != host(X43) )
& ( host(X3) = host(X42)
| setIn(host(X42),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(flattening,[],[f125]) ).
fof(f125,plain,
? [X0,X1,X2,X3] :
( ? [X42] :
( ? [X43] :
( ? [X44,X45,X46] :
( norm = index(status,host(X43))
& host(X43) = index(ldr,host(X43))
& setIn(X43,alive)
& s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive)
& host(X2) != host(X46)
& host(X42) = host(X46) )
& host(X2) != host(X43) )
& ( host(X3) = host(X42)
| setIn(host(X42),index(acks,host(X2))) ) )
& leq(nbr_proc,index(pendack,host(X2)))
& host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1
& setIn(X2,alive)
& queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( norm != index(status,host(X4))
| host(X4) != index(ldr,host(X4))
| ~ setIn(X4,alive)
| host(X6) != s(index(pendack,host(X7)))
| host(X5) != index(pendack,host(X7))
| elec_2 != index(status,host(X7))
| ~ leq(nbr_proc,s(index(pendack,host(X7))))
| ~ elem(m_Ack(X7,X5),queue(host(X7)))
| ~ elem(m_Down(X6),queue(host(X7)))
| ~ setIn(X7,alive) )
& ! [X8,X9,X10,X11] :
( ~ elem(m_Down(X9),queue(host(X8)))
| ~ setIn(X8,alive)
| elec_1 != index(status,host(X11))
| host(X11) != host(X9)
| nbr_proc != host(X11)
| ~ elem(m_Down(X10),queue(host(X11)))
| ? [X12] :
( host(X10) != X12
& ~ setIn(X12,index(down,host(X11)))
& leq(s(zero),X12)
& ~ leq(host(X11),X12) ) )
& ! [X13,X14,X15] :
( norm != index(status,host(X13))
| host(X13) != index(ldr,host(X13))
| ~ setIn(X13,alive)
| elec_2 != index(status,host(X15))
| ~ elem(m_Halt(X15),queue(host(X14)))
| ~ setIn(X15,alive)
| leq(index(pendack,host(X15)),host(X13)) )
& ! [X16,X17] :
( ~ leq(index(pendack,host(X16)),index(pendack,host(X17)))
| elec_2 != index(status,host(X17))
| elec_2 != index(status,host(X16))
| ~ setIn(X17,alive)
| ~ setIn(X16,alive)
| leq(host(X16),host(X17)) )
& ! [X18,X19,X20] :
( ~ elem(m_Ack(X18,X19),queue(host(X18)))
| elec_2 != index(status,host(X20))
| elec_2 != index(status,host(X18))
| host(X19) != host(X20)
| ~ setIn(X20,alive)
| ~ setIn(X18,alive) )
& ! [X21,X22] :
( leq(index(pendack,host(X22)),host(X21))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) )
& ! [X23,X24,X25] :
( norm != index(status,host(X23))
| host(X23) != index(ldr,host(X23))
| ~ setIn(X23,alive)
| host(X23) != host(X24)
| ~ elem(m_Down(X24),queue(host(X25)))
| ~ setIn(X25,alive) )
& ! [X26] :
( index(elid,host(X26)) = X26
| ~ setIn(X26,alive)
| ( elec_2 != index(status,host(X26))
& elec_1 != index(status,host(X26)) ) )
& ! [X27,X28] :
( ~ elem(m_Ack(X28,X27),queue(host(X28)))
| elec_1 != index(status,host(X28))
| ~ setIn(X28,alive) )
& ! [X29,X30] :
( leq(host(X29),index(pendack,host(X30)))
| ~ elem(m_Ack(X30,X29),queue(host(X30)))
| ~ setIn(X30,alive) )
& ! [X31,X32] :
( ~ setIn(X32,alive)
| ~ setIn(X31,alive)
| host(X31) != host(X32)
| X31 = X32 )
& ! [X33,X34,X35] :
( ~ leq(host(X33),host(X35))
| ~ elem(m_Ack(X35,X33),queue(host(X34))) )
& ! [X36,X37] :
( ~ leq(host(X36),host(X37))
| ~ elem(m_Halt(X37),queue(host(X36))) )
& ! [X38,X39] :
( host(X38) != host(X39)
| ~ elem(m_Down(X39),queue(host(X38))) )
& ! [X40,X41] :
( ~ leq(host(X40),host(X41))
| ~ elem(m_Ldr(X41),queue(host(X40))) ) ),
inference(ennf_transformation,[],[f69]) ).
fof(f69,plain,
~ ! [X0,X1,X2,X3] :
( ( queue(host(X2)) = cons(m_Ack(X1,X3),X0)
& ! [X4,X5,X6,X7] :
( ( host(X6) = s(index(pendack,host(X7)))
& host(X5) = index(pendack,host(X7))
& elec_2 = index(status,host(X7))
& leq(nbr_proc,s(index(pendack,host(X7))))
& elem(m_Ack(X7,X5),queue(host(X7)))
& elem(m_Down(X6),queue(host(X7)))
& setIn(X7,alive) )
=> ~ ( norm = index(status,host(X4))
& host(X4) = index(ldr,host(X4))
& setIn(X4,alive) ) )
& ! [X8,X9,X10,X11] :
( ( elec_1 = index(status,host(X11))
& host(X11) = host(X9)
& nbr_proc = host(X11)
& elem(m_Down(X10),queue(host(X11)))
& ! [X12] :
( ( leq(s(zero),X12)
& ~ leq(host(X11),X12) )
=> ( host(X10) = X12
| setIn(X12,index(down,host(X11))) ) ) )
=> ~ ( elem(m_Down(X9),queue(host(X8)))
& setIn(X8,alive) ) )
& ! [X13,X14,X15] :
( ( elec_2 = index(status,host(X15))
& elem(m_Halt(X15),queue(host(X14)))
& setIn(X15,alive)
& ~ leq(index(pendack,host(X15)),host(X13)) )
=> ~ ( norm = index(status,host(X13))
& host(X13) = index(ldr,host(X13))
& setIn(X13,alive) ) )
& ! [X16,X17] :
( ( elec_2 = index(status,host(X17))
& elec_2 = index(status,host(X16))
& setIn(X17,alive)
& setIn(X16,alive)
& ~ leq(host(X16),host(X17)) )
=> ~ leq(index(pendack,host(X16)),index(pendack,host(X17))) )
& ! [X18,X19,X20] :
( ( elec_2 = index(status,host(X20))
& elec_2 = index(status,host(X18))
& host(X19) = host(X20)
& setIn(X20,alive)
& setIn(X18,alive) )
=> ~ elem(m_Ack(X18,X19),queue(host(X18))) )
& ! [X21,X22] :
( ( elec_2 = index(status,host(X22))
& elec_2 = index(status,host(X21))
& setIn(X22,alive)
& setIn(X21,alive)
& ~ leq(host(X21),host(X22)) )
=> leq(index(pendack,host(X22)),host(X21)) )
& ! [X23,X24,X25] :
( ( host(X23) = host(X24)
& elem(m_Down(X24),queue(host(X25)))
& setIn(X25,alive) )
=> ~ ( norm = index(status,host(X23))
& host(X23) = index(ldr,host(X23))
& setIn(X23,alive) ) )
& ! [X26] :
( ( setIn(X26,alive)
& ( elec_2 = index(status,host(X26))
| elec_1 = index(status,host(X26)) ) )
=> index(elid,host(X26)) = X26 )
& ! [X27,X28] :
( ( elec_1 = index(status,host(X28))
& setIn(X28,alive) )
=> ~ elem(m_Ack(X28,X27),queue(host(X28))) )
& ! [X29,X30] :
( ( elem(m_Ack(X30,X29),queue(host(X30)))
& setIn(X30,alive) )
=> leq(host(X29),index(pendack,host(X30))) )
& ! [X31,X32] :
( ( host(X31) = host(X32)
& X31 != X32 )
=> ( ~ setIn(X32,alive)
| ~ setIn(X31,alive) ) )
& ! [X33,X34,X35] :
( elem(m_Ack(X35,X33),queue(host(X34)))
=> ~ leq(host(X33),host(X35)) )
& ! [X36,X37] :
( elem(m_Halt(X37),queue(host(X36)))
=> ~ leq(host(X36),host(X37)) )
& ! [X38,X39] :
( elem(m_Down(X39),queue(host(X38)))
=> host(X38) != host(X39) )
& ! [X40,X41] :
( elem(m_Ldr(X41),queue(host(X40)))
=> ~ leq(host(X40),host(X41)) ) )
=> ( setIn(X2,alive)
=> ( ( host(X3) = index(pendack,host(X2))
& elec_2 = index(status,host(X2))
& index(elid,host(X2)) = X1 )
=> ( leq(nbr_proc,index(pendack,host(X2)))
=> ! [X42] :
( ( host(X3) = host(X42)
| setIn(host(X42),index(acks,host(X2))) )
=> ! [X43] :
( host(X2) != host(X43)
=> ! [X44,X45,X46] :
( host(X42) = host(X46)
=> ( host(X2) != host(X46)
=> ( ( s(index(pendack,host(X46))) = host(X45)
& index(pendack,host(X46)) = host(X44)
& elec_2 = index(status,host(X46))
& elem(m_Ack(X46,X44),snoc(queue(host(X46)),m_Ldr(X2)))
& elem(m_Down(X45),snoc(queue(host(X46)),m_Ldr(X2)))
& leq(nbr_proc,s(index(pendack,host(X46))))
& setIn(X46,alive) )
=> ~ ( norm = index(status,host(X43))
& host(X43) = index(ldr,host(X43))
& setIn(X43,alive) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f68]) ).
fof(f68,negated_conjecture,
~ ! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,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_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) != host(X16)
=> ! [X17,X18,X19] :
( host(X6) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( norm = index(status,host(X16))
& host(X16) = index(ldr,host(X16))
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f67]) ).
fof(f67,conjecture,
! [X11,X12,X4,X5] :
( ( queue(host(X4)) = cons(m_Ack(X12,X5),X11)
& ! [X6,X15,X14,X13] :
( ( host(X14) = s(index(pendack,host(X13)))
& index(pendack,host(X13)) = host(X15)
& elec_2 = index(status,host(X13))
& leq(nbr_proc,s(index(pendack,host(X13))))
& elem(m_Ack(X13,X15),queue(host(X13)))
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X15,X14,X13] :
( ( elec_1 = index(status,host(X13))
& host(X13) = host(X15)
& nbr_proc = host(X13)
& elem(m_Down(X14),queue(host(X13)))
& ! [X16] :
( ( leq(s(zero),X16)
& ~ leq(host(X13),X16) )
=> ( host(X14) = X16
| setIn(X16,index(down,host(X13))) ) ) )
=> ~ ( elem(m_Down(X15),queue(host(X6)))
& setIn(X6,alive) ) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elem(m_Halt(X13),queue(host(X14)))
& setIn(X13,alive)
& ~ leq(index(pendack,host(X13)),host(X6)) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> ~ leq(index(pendack,host(X6)),index(pendack,host(X13))) )
& ! [X6,X14,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& host(X13) = host(X14)
& setIn(X13,alive)
& setIn(X6,alive) )
=> ~ elem(m_Ack(X6,X14),queue(host(X6))) )
& ! [X6,X13] :
( ( elec_2 = index(status,host(X13))
& elec_2 = index(status,host(X6))
& setIn(X13,alive)
& setIn(X6,alive)
& ~ leq(host(X6),host(X13)) )
=> leq(index(pendack,host(X13)),host(X6)) )
& ! [X6,X14,X13] :
( ( host(X6) = host(X14)
& elem(m_Down(X14),queue(host(X13)))
& setIn(X13,alive) )
=> ~ ( norm = index(status,host(X6))
& host(X6) = index(ldr,host(X6))
& setIn(X6,alive) ) )
& ! [X6] :
( ( setIn(X6,alive)
& ( elec_2 = index(status,host(X6))
| elec_1 = index(status,host(X6)) ) )
=> index(elid,host(X6)) = X6 )
& ! [X6,X13] :
( ( elec_1 = index(status,host(X13))
& setIn(X13,alive) )
=> ~ elem(m_Ack(X13,X6),queue(host(X13))) )
& ! [X6,X13] :
( ( elem(m_Ack(X13,X6),queue(host(X13)))
& setIn(X13,alive) )
=> leq(host(X6),index(pendack,host(X13))) )
& ! [X6,X13] :
( ( host(X6) = host(X13)
& X6 != X13 )
=> ( ~ setIn(X13,alive)
| ~ setIn(X6,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_Ldr(X13),queue(host(X6)))
=> ~ leq(host(X6),host(X13)) ) )
=> ( setIn(X4,alive)
=> ( ( host(X5) = index(pendack,host(X4))
& elec_2 = index(status,host(X4))
& index(elid,host(X4)) = X12 )
=> ( leq(nbr_proc,index(pendack,host(X4)))
=> ! [X6] :
( ( host(X5) = host(X6)
| setIn(host(X6),index(acks,host(X4))) )
=> ! [X16] :
( host(X4) != host(X16)
=> ! [X17,X18,X19] :
( host(X6) = host(X19)
=> ( host(X4) != host(X19)
=> ( ( s(index(pendack,host(X19))) = host(X18)
& index(pendack,host(X19)) = host(X17)
& elec_2 = index(status,host(X19))
& elem(m_Ack(X19,X17),snoc(queue(host(X19)),m_Ldr(X4)))
& elem(m_Down(X18),snoc(queue(host(X19)),m_Ldr(X4)))
& leq(nbr_proc,s(index(pendack,host(X19))))
& setIn(X19,alive) )
=> ~ ( norm = index(status,host(X16))
& host(X16) = index(ldr,host(X16))
& setIn(X16,alive) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
fof(f1226,plain,
spl15_145,
inference(avatar_split_clause,[],[f294,f1224]) ).
fof(f1224,plain,
( spl15_145
<=> ! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK14(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_145])]) ).
fof(f294,plain,
! [X0,X1] :
( sP1(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK14(X0,X1))) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1222,plain,
spl15_144,
inference(avatar_split_clause,[],[f285,f1220]) ).
fof(f1220,plain,
( spl15_144
<=> ! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_144])]) ).
fof(f285,plain,
! [X0,X1] :
( sP0(X0,X1)
| host(pidMsg(X0)) = host(pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1218,plain,
spl15_143,
inference(avatar_split_clause,[],[f244,f1216]) ).
fof(f244,plain,
! [X0] :
( m_Down(sK12(X0)) = X0
| m_Halt(sK12(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(sK12(X0)) = X0
| m_Halt(sK12(X0)) = X0
| ~ pidElem(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f154,f155]) ).
fof(f155,plain,
! [X0] :
( ? [X2] :
( m_Down(X2) = X0
| m_Halt(X2) = X0 )
=> ( m_Down(sK12(X0)) = X0
| m_Halt(sK12(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(f1183,plain,
( spl15_141
| ~ spl15_142
| ~ spl15_23
| ~ spl15_56
| ~ spl15_86 ),
inference(avatar_split_clause,[],[f829,f791,f648,f458,f1180,f1176]) ).
fof(f1176,plain,
( spl15_141
<=> ordered(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_141])]) ).
fof(f1180,plain,
( spl15_142
<=> ordered(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_142])]) ).
fof(f829,plain,
( ~ ordered(queue(host(sK3)))
| ordered(sK2)
| ~ spl15_23
| ~ spl15_56
| ~ spl15_86 ),
inference(forward_demodulation,[],[f828,f650]) ).
fof(f828,plain,
( ~ ordered(queue(host(sK4)))
| ordered(sK2)
| ~ spl15_23
| ~ spl15_86 ),
inference(superposition,[],[f792,f460]) ).
fof(f1166,plain,
spl15_140,
inference(avatar_split_clause,[],[f317,f1164]) ).
fof(f317,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,snoc(X2,X1)) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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,[],[f181]) ).
fof(f181,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,[],[f122]) ).
fof(f122,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(f1162,plain,
spl15_139,
inference(avatar_split_clause,[],[f314,f1160]) ).
fof(f314,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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,[],[f179]) ).
fof(f179,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,[],[f121]) ).
fof(f121,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(f1158,plain,
spl15_138,
inference(avatar_split_clause,[],[f310,f1156]) ).
fof(f310,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(f1154,plain,
spl15_137,
inference(avatar_split_clause,[],[f299,f1152]) ).
fof(f299,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(f1150,plain,
spl15_136,
inference(avatar_split_clause,[],[f266,f1148]) ).
fof(f266,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(f1140,plain,
( spl15_135
| ~ spl15_23
| ~ spl15_56
| ~ spl15_81 ),
inference(avatar_split_clause,[],[f821,f770,f648,f458,f1137]) ).
fof(f1137,plain,
( spl15_135
<=> sK2 = tail(queue(host(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_135])]) ).
fof(f770,plain,
( spl15_81
<=> ! [X0,X1] : tail(cons(X0,X1)) = X1 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_81])]) ).
fof(f821,plain,
( sK2 = tail(queue(host(sK3)))
| ~ spl15_23
| ~ spl15_56
| ~ spl15_81 ),
inference(forward_demodulation,[],[f820,f650]) ).
fof(f820,plain,
( sK2 = tail(queue(host(sK4)))
| ~ spl15_23
| ~ spl15_81 ),
inference(superposition,[],[f771,f460]) ).
fof(f771,plain,
( ! [X0,X1] : tail(cons(X0,X1)) = X1
| ~ spl15_81 ),
inference(avatar_component_clause,[],[f770]) ).
fof(f1113,plain,
spl15_134,
inference(avatar_split_clause,[],[f321,f1111]) ).
fof(f1111,plain,
( spl15_134
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_134])]) ).
fof(f321,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X2 = X3 ),
inference(ennf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0,X1,X2,X3] :
( X2 != X3
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
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(f1109,plain,
spl15_133,
inference(avatar_split_clause,[],[f320,f1107]) ).
fof(f1107,plain,
( spl15_133
<=> ! [X0,X3,X2,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_133])]) ).
fof(f320,plain,
! [X2,X3,X0,X1] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( m_Ack(X1,X3) != m_Ack(X0,X2)
| X0 = X1 ),
inference(ennf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0,X1,X2,X3] :
( X0 != X1
=> m_Ack(X1,X3) != m_Ack(X0,X2) ),
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(f1105,plain,
spl15_132,
inference(avatar_split_clause,[],[f295,f1103]) ).
fof(f295,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ leq(pidMsg(sK14(X0,X1)),pidMsg(X0)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f1101,plain,
spl15_131,
inference(avatar_split_clause,[],[f286,f1099]) ).
fof(f286,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(pidMsg(X0),pidMsg(sK13(X0,X1))) ),
inference(cnf_transformation,[],[f166]) ).
fof(f1097,plain,
spl15_130,
inference(avatar_split_clause,[],[f268,f1095]) ).
fof(f268,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(f1091,plain,
spl15_129,
inference(avatar_split_clause,[],[f267,f1089]) ).
fof(f267,plain,
! [X0,X1] :
( setIn(X0,pids)
| ~ elem(m_Ack(X0,X1),queue(host(X0))) ),
inference(cnf_transformation,[],[f130]) ).
fof(f1087,plain,
spl15_128,
inference(avatar_split_clause,[],[f243,f1085]) ).
fof(f243,plain,
! [X0] :
( snoc(init(X0),last(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,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(f1083,plain,
spl15_127,
inference(avatar_split_clause,[],[f242,f1081]) ).
fof(f242,plain,
! [X0] :
( cons(head(X0),tail(X0)) = X0
| q_nil = X0 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,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(f1073,plain,
spl15_126,
inference(avatar_split_clause,[],[f196,f1071]) ).
fof(f196,plain,
! [X18,X19,X20] :
( norm != index(status,host(X18))
| host(X18) != index(ldr,host(X18))
| ~ setIn(X18,alive)
| elec_2 != index(status,host(X20))
| ~ elem(m_Halt(X20),queue(host(X19)))
| ~ setIn(X20,alive)
| leq(index(pendack,host(X20)),host(X18)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f1042,plain,
spl15_125,
inference(avatar_split_clause,[],[f312,f1040]) ).
fof(f312,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(f1038,plain,
spl15_124,
inference(avatar_split_clause,[],[f302,f1036]) ).
fof(f302,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(f1034,plain,
spl15_123,
inference(avatar_split_clause,[],[f298,f1032]) ).
fof(f298,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(f1030,plain,
spl15_122,
inference(avatar_split_clause,[],[f289,f1028]) ).
fof(f289,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(f1003,plain,
spl15_121,
inference(avatar_split_clause,[],[f319,f1001]) ).
fof(f319,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f182]) ).
fof(f999,plain,
spl15_120,
inference(avatar_split_clause,[],[f316,f997]) ).
fof(f316,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| ~ elem(X0,X2) ),
inference(cnf_transformation,[],[f180]) ).
fof(f995,plain,
spl15_119,
inference(avatar_split_clause,[],[f311,f993]) ).
fof(f311,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(f991,plain,
spl15_118,
inference(avatar_split_clause,[],[f291,f989]) ).
fof(f291,plain,
! [X0,X1] :
( sP1(X0,X1)
| elem(sK14(X0,X1),X1) ),
inference(cnf_transformation,[],[f172]) ).
fof(f987,plain,
spl15_117,
inference(avatar_split_clause,[],[f282,f985]) ).
fof(f282,plain,
! [X0,X1] :
( sP0(X0,X1)
| elem(sK13(X0,X1),X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f983,plain,
( spl15_116
| spl15_79
| ~ spl15_84 ),
inference(avatar_split_clause,[],[f823,f782,f759,f980]) ).
fof(f980,plain,
( spl15_116
<=> leq(host(sK8),host(sK9)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_116])]) ).
fof(f823,plain,
( leq(host(sK8),host(sK9))
| spl15_79
| ~ spl15_84 ),
inference(resolution,[],[f783,f761]) ).
fof(f978,plain,
spl15_115,
inference(avatar_split_clause,[],[f280,f976]) ).
fof(f280,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(f974,plain,
spl15_114,
inference(avatar_split_clause,[],[f279,f972]) ).
fof(f279,plain,
! [X0,X1] :
( leq(s(X0),s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f162]) ).
fof(f970,plain,
spl15_113,
inference(avatar_split_clause,[],[f277,f968]) ).
fof(f968,plain,
( spl15_113
<=> ! [X0,X1] :
( m_Down(X0) != m_Down(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_113])]) ).
fof(f277,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(f966,plain,
spl15_112,
inference(avatar_split_clause,[],[f275,f964]) ).
fof(f964,plain,
( spl15_112
<=> ! [X0,X1] :
( m_Halt(X0) != m_Halt(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_112])]) ).
fof(f275,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(f962,plain,
spl15_111,
inference(avatar_split_clause,[],[f273,f960]) ).
fof(f960,plain,
( spl15_111
<=> ! [X0,X1] :
( m_Ldr(X0) != m_Ldr(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_111])]) ).
fof(f273,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(f958,plain,
spl15_110,
inference(avatar_split_clause,[],[f271,f956]) ).
fof(f956,plain,
( spl15_110
<=> ! [X0,X1] :
( m_NormQ(X0) != m_NormQ(X1)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_110])]) ).
fof(f271,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(f954,plain,
spl15_109,
inference(avatar_split_clause,[],[f269,f952]) ).
fof(f952,plain,
( spl15_109
<=> ! [X0,X1] :
( m_NotNorm(X1) != m_NotNorm(X0)
| X0 = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_109])]) ).
fof(f269,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(f937,plain,
( spl15_106
| ~ spl15_107
| spl15_108 ),
inference(avatar_split_clause,[],[f339,f935,f931,f928]) ).
fof(f928,plain,
( spl15_106
<=> ! [X16,X15] :
( nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(nbr_proc))
| ~ leq(nbr_proc,sK11(X15,X16)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_106])]) ).
fof(f931,plain,
( spl15_107
<=> elec_1 = index(status,nbr_proc) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_107])]) ).
fof(f935,plain,
( spl15_108
<=> ! [X13,X14] :
( ~ elem(m_Down(X14),queue(host(X13)))
| nbr_proc != host(X14)
| ~ setIn(X13,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_108])]) ).
fof(f339,plain,
! [X16,X14,X15,X13] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,nbr_proc)
| nbr_proc != host(X14)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(nbr_proc))
| ~ leq(nbr_proc,sK11(X15,X16)) ),
inference(inner_rewriting,[],[f197]) ).
fof(f197,plain,
! [X16,X14,X15,X13] :
( ~ elem(m_Down(X14),queue(host(X13)))
| ~ setIn(X13,alive)
| elec_1 != index(status,host(X16))
| host(X14) != host(X16)
| nbr_proc != host(X16)
| ~ elem(m_Down(X15),queue(host(X16)))
| ~ leq(host(X16),sK11(X15,X16)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f926,plain,
( ~ spl15_105
| spl15_8
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f678,f648,f378,f923]) ).
fof(f923,plain,
( spl15_105
<=> host(sK6) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_105])]) ).
fof(f378,plain,
( spl15_8
<=> host(sK4) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_8])]) ).
fof(f678,plain,
( host(sK6) != host(sK3)
| spl15_8
| ~ spl15_56 ),
inference(superposition,[],[f380,f650]) ).
fof(f380,plain,
( host(sK4) != host(sK6)
| spl15_8 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f921,plain,
spl15_104,
inference(avatar_split_clause,[],[f195,f919]) ).
fof(f195,plain,
! [X21,X22] :
( ~ leq(index(pendack,host(X21)),index(pendack,host(X22)))
| elec_2 != index(status,host(X22))
| elec_2 != index(status,host(X21))
| ~ setIn(X22,alive)
| ~ setIn(X21,alive)
| leq(host(X21),host(X22)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f888,plain,
spl15_103,
inference(avatar_split_clause,[],[f194,f886]) ).
fof(f194,plain,
! [X24,X25,X23] :
( ~ elem(m_Ack(X23,X24),queue(host(X23)))
| elec_2 != index(status,host(X25))
| elec_2 != index(status,host(X23))
| host(X24) != host(X25)
| ~ setIn(X25,alive)
| ~ setIn(X23,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f884,plain,
spl15_102,
inference(avatar_split_clause,[],[f193,f882]) ).
fof(f193,plain,
! [X26,X27] :
( leq(index(pendack,host(X27)),host(X26))
| elec_2 != index(status,host(X27))
| elec_2 != index(status,host(X26))
| ~ setIn(X27,alive)
| ~ setIn(X26,alive)
| leq(host(X26),host(X27)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f880,plain,
spl15_101,
inference(avatar_split_clause,[],[f192,f878]) ).
fof(f192,plain,
! [X28,X29,X30] :
( norm != index(status,host(X28))
| host(X28) != index(ldr,host(X28))
| ~ setIn(X28,alive)
| host(X28) != host(X29)
| ~ elem(m_Down(X29),queue(host(X30)))
| ~ setIn(X30,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f872,plain,
( ~ spl15_100
| spl15_5
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f677,f648,f362,f869]) ).
fof(f869,plain,
( spl15_100
<=> host(sK7) = host(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_100])]) ).
fof(f362,plain,
( spl15_5
<=> host(sK4) = host(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_5])]) ).
fof(f677,plain,
( host(sK7) != host(sK3)
| spl15_5
| ~ spl15_56 ),
inference(superposition,[],[f364,f650]) ).
fof(f364,plain,
( host(sK4) != host(sK7)
| spl15_5 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f857,plain,
spl15_99,
inference(avatar_split_clause,[],[f301,f855]) ).
fof(f301,plain,
! [X0,X1] :
( leq(X0,s(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f853,plain,
spl15_98,
inference(avatar_split_clause,[],[f297,f851]) ).
fof(f297,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f849,plain,
spl15_97,
inference(avatar_split_clause,[],[f293,f847]) ).
fof(f293,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(sK14(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
fof(f845,plain,
spl15_96,
inference(avatar_split_clause,[],[f288,f843]) ).
fof(f288,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f841,plain,
spl15_95,
inference(avatar_split_clause,[],[f284,f839]) ).
fof(f284,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(sK13(X0,X1)) ),
inference(cnf_transformation,[],[f166]) ).
fof(f837,plain,
spl15_94,
inference(avatar_split_clause,[],[f264,f835]) ).
fof(f264,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(f833,plain,
spl15_93,
inference(avatar_split_clause,[],[f239,f831]) ).
fof(f239,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(f817,plain,
spl15_92,
inference(avatar_split_clause,[],[f309,f815]) ).
fof(f815,plain,
( spl15_92
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Down(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_92])]) ).
fof(f309,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(f813,plain,
spl15_91,
inference(avatar_split_clause,[],[f308,f811]) ).
fof(f811,plain,
( spl15_91
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_Halt(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_91])]) ).
fof(f308,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(f809,plain,
spl15_90,
inference(avatar_split_clause,[],[f307,f807]) ).
fof(f307,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(f805,plain,
spl15_89,
inference(avatar_split_clause,[],[f306,f803]) ).
fof(f803,plain,
( spl15_89
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NotNorm(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_89])]) ).
fof(f306,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(f801,plain,
spl15_88,
inference(avatar_split_clause,[],[f305,f799]) ).
fof(f799,plain,
( spl15_88
<=> ! [X2,X0,X1] : m_Ack(X0,X1) != m_NormQ(X2) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_88])]) ).
fof(f305,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(f797,plain,
spl15_87,
inference(avatar_split_clause,[],[f296,f795]) ).
fof(f296,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(snoc(X1,X0)) ),
inference(cnf_transformation,[],[f174]) ).
fof(f793,plain,
spl15_86,
inference(avatar_split_clause,[],[f287,f791]) ).
fof(f287,plain,
! [X0,X1] :
( ordered(X1)
| ~ ordered(cons(X0,X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f789,plain,
( ~ spl15_85
| ~ spl15_23
| ~ spl15_56
| ~ spl15_73 ),
inference(avatar_split_clause,[],[f757,f732,f648,f458,f786]) ).
fof(f786,plain,
( spl15_85
<=> q_nil = queue(host(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_85])]) ).
fof(f732,plain,
( spl15_73
<=> ! [X0,X1] : q_nil != cons(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_73])]) ).
fof(f757,plain,
( q_nil != queue(host(sK3))
| ~ spl15_23
| ~ spl15_56
| ~ spl15_73 ),
inference(forward_demodulation,[],[f756,f650]) ).
fof(f756,plain,
( q_nil != queue(host(sK4))
| ~ spl15_23
| ~ spl15_73 ),
inference(superposition,[],[f733,f460]) ).
fof(f733,plain,
( ! [X0,X1] : q_nil != cons(X0,X1)
| ~ spl15_73 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f784,plain,
spl15_84,
inference(avatar_split_clause,[],[f263,f782]) ).
fof(f263,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(f780,plain,
spl15_83,
inference(avatar_split_clause,[],[f262,f778]) ).
fof(f262,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(f776,plain,
spl15_82,
inference(avatar_split_clause,[],[f261,f774]) ).
fof(f261,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(f772,plain,
spl15_81,
inference(avatar_split_clause,[],[f260,f770]) ).
fof(f260,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(f768,plain,
spl15_80,
inference(avatar_split_clause,[],[f259,f766]) ).
fof(f259,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(f762,plain,
( ~ spl15_79
| ~ spl15_21
| ~ spl15_54 ),
inference(avatar_split_clause,[],[f656,f640,f448,f759]) ).
fof(f656,plain,
( ~ leq(host(sK9),host(sK8))
| ~ spl15_21
| ~ spl15_54 ),
inference(superposition,[],[f641,f450]) ).
fof(f754,plain,
spl15_78,
inference(avatar_split_clause,[],[f334,f752]) ).
fof(f334,plain,
! [X2,X1] : elem(X1,snoc(X2,X1)),
inference(equality_resolution,[],[f318]) ).
fof(f318,plain,
! [X2,X0,X1] :
( elem(X0,snoc(X2,X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f750,plain,
spl15_77,
inference(avatar_split_clause,[],[f333,f748]) ).
fof(f333,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f315]) ).
fof(f315,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f180]) ).
fof(f746,plain,
spl15_76,
inference(avatar_split_clause,[],[f292,f744]) ).
fof(f744,plain,
( spl15_76
<=> ! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_76])]) ).
fof(f292,plain,
! [X0,X1] :
( sP1(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f742,plain,
spl15_75,
inference(avatar_split_clause,[],[f283,f740]) ).
fof(f740,plain,
( spl15_75
<=> ! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_75])]) ).
fof(f283,plain,
! [X0,X1] :
( sP0(X0,X1)
| pidElem(X0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f738,plain,
spl15_74,
inference(avatar_split_clause,[],[f258,f736]) ).
fof(f736,plain,
( spl15_74
<=> ! [X0,X1] : q_nil != snoc(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_74])]) ).
fof(f258,plain,
! [X0,X1] : q_nil != snoc(X1,X0),
inference(cnf_transformation,[],[f94]) ).
fof(f94,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(f734,plain,
spl15_73,
inference(avatar_split_clause,[],[f257,f732]) ).
fof(f257,plain,
! [X0,X1] : q_nil != cons(X0,X1),
inference(cnf_transformation,[],[f93]) ).
fof(f93,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(f730,plain,
( spl15_72
| ~ spl15_1
| ~ spl15_56 ),
inference(avatar_split_clause,[],[f676,f648,f342,f727]) ).
fof(f342,plain,
( spl15_1
<=> setIn(sK4,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_1])]) ).
fof(f676,plain,
( setIn(sK3,alive)
| ~ spl15_1
| ~ spl15_56 ),
inference(superposition,[],[f344,f650]) ).
fof(f344,plain,
( setIn(sK4,alive)
| ~ spl15_1 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f725,plain,
spl15_71,
inference(avatar_split_clause,[],[f256,f723]) ).
fof(f256,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(f721,plain,
spl15_70,
inference(avatar_split_clause,[],[f255,f719]) ).
fof(f719,plain,
( spl15_70
<=> ! [X0,X1] : m_Down(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_70])]) ).
fof(f255,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(f717,plain,
spl15_69,
inference(avatar_split_clause,[],[f254,f715]) ).
fof(f715,plain,
( spl15_69
<=> ! [X0,X1] : m_Down(X0) != m_NotNorm(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_69])]) ).
fof(f254,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(f713,plain,
spl15_68,
inference(avatar_split_clause,[],[f253,f711]) ).
fof(f711,plain,
( spl15_68
<=> ! [X0,X1] : m_Down(X0) != m_Halt(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_68])]) ).
fof(f253,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(f709,plain,
spl15_67,
inference(avatar_split_clause,[],[f252,f707]) ).
fof(f707,plain,
( spl15_67
<=> ! [X0,X1] : m_Halt(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_67])]) ).
fof(f252,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(f705,plain,
spl15_66,
inference(avatar_split_clause,[],[f251,f703]) ).
fof(f703,plain,
( spl15_66
<=> ! [X0,X1] : m_Halt(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_66])]) ).
fof(f251,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(f701,plain,
spl15_65,
inference(avatar_split_clause,[],[f250,f699]) ).
fof(f699,plain,
( spl15_65
<=> ! [X0,X1] : m_Halt(X1) != m_NotNorm(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_65])]) ).
fof(f250,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(f697,plain,
spl15_64,
inference(avatar_split_clause,[],[f249,f695]) ).
fof(f695,plain,
( spl15_64
<=> ! [X0,X1] : m_Ldr(X0) != m_NormQ(X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_64])]) ).
fof(f249,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(f693,plain,
spl15_63,
inference(avatar_split_clause,[],[f248,f691]) ).
fof(f691,plain,
( spl15_63
<=> ! [X0,X1] : m_NotNorm(X1) != m_Ldr(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_63])]) ).
fof(f248,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(f689,plain,
spl15_62,
inference(avatar_split_clause,[],[f247,f687]) ).
fof(f687,plain,
( spl15_62
<=> ! [X0,X1] : m_NotNorm(X1) != m_NormQ(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_62])]) ).
fof(f247,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(f675,plain,
spl15_61,
inference(avatar_split_clause,[],[f238,f673]) ).
fof(f238,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(f671,plain,
spl15_60,
inference(avatar_split_clause,[],[f237,f669]) ).
fof(f237,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(f667,plain,
spl15_59,
inference(avatar_split_clause,[],[f236,f665]) ).
fof(f236,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(f661,plain,
spl15_58,
inference(avatar_split_clause,[],[f188,f659]) ).
fof(f188,plain,
! [X34,X35] :
( leq(host(X34),index(pendack,host(X35)))
| ~ elem(m_Ack(X35,X34),queue(host(X35)))
| ~ setIn(X35,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f655,plain,
spl15_57,
inference(avatar_split_clause,[],[f340,f653]) ).
fof(f340,plain,
! [X0] : ordered(cons(X0,q_nil)),
inference(forward_demodulation,[],[f241,f239]) ).
fof(f241,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(f651,plain,
( ~ spl15_1
| spl15_56
| ~ spl15_9
| ~ spl15_10
| ~ spl15_51 ),
inference(avatar_split_clause,[],[f624,f608,f388,f383,f648,f342]) ).
fof(f624,plain,
( sK3 = sK4
| ~ setIn(sK4,alive)
| ~ spl15_9
| ~ spl15_10
| ~ spl15_51 ),
inference(forward_demodulation,[],[f621,f385]) ).
fof(f621,plain,
( ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl15_10
| ~ spl15_51 ),
inference(trivial_inequality_removal,[],[f617]) ).
fof(f617,plain,
( elec_2 != elec_2
| ~ setIn(sK4,alive)
| sK4 = index(elid,host(sK4))
| ~ spl15_10
| ~ spl15_51 ),
inference(superposition,[],[f609,f390]) ).
fof(f646,plain,
spl15_55,
inference(avatar_split_clause,[],[f235,f644]) ).
fof(f235,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(f642,plain,
spl15_54,
inference(avatar_split_clause,[],[f234,f640]) ).
fof(f234,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(f638,plain,
spl15_53,
inference(avatar_split_clause,[],[f230,f635]) ).
fof(f230,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(f628,plain,
spl15_52,
inference(avatar_split_clause,[],[f189,f626]) ).
fof(f626,plain,
( spl15_52
<=> ! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_52])]) ).
fof(f189,plain,
! [X32,X33] :
( ~ elem(m_Ack(X33,X32),queue(host(X33)))
| elec_1 != index(status,host(X33))
| ~ setIn(X33,alive) ),
inference(cnf_transformation,[],[f152]) ).
fof(f610,plain,
spl15_51,
inference(avatar_split_clause,[],[f191,f608]) ).
fof(f191,plain,
! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| elec_2 != index(status,host(X31)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f606,plain,
spl15_50,
inference(avatar_split_clause,[],[f190,f604]) ).
fof(f604,plain,
( spl15_50
<=> ! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| elec_1 != index(status,host(X31)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_50])]) ).
fof(f190,plain,
! [X31] :
( index(elid,host(X31)) = X31
| ~ setIn(X31,alive)
| elec_1 != index(status,host(X31)) ),
inference(cnf_transformation,[],[f152]) ).
fof(f598,plain,
spl15_49,
inference(avatar_split_clause,[],[f187,f596]) ).
fof(f187,plain,
! [X36,X37] :
( ~ setIn(X37,alive)
| ~ setIn(X36,alive)
| host(X36) != host(X37)
| X36 = X37 ),
inference(cnf_transformation,[],[f152]) ).
fof(f593,plain,
spl15_48,
inference(avatar_split_clause,[],[f323,f591]) ).
fof(f323,plain,
! [X1] : pidElem(m_Halt(X1)),
inference(equality_resolution,[],[f245]) ).
fof(f245,plain,
! [X0,X1] :
( pidElem(X0)
| m_Halt(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f589,plain,
spl15_47,
inference(avatar_split_clause,[],[f322,f587]) ).
fof(f322,plain,
! [X1] : pidElem(m_Down(X1)),
inference(equality_resolution,[],[f246]) ).
fof(f246,plain,
! [X0,X1] :
( pidElem(X0)
| m_Down(X1) != X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f585,plain,
spl15_46,
inference(avatar_split_clause,[],[f233,f583]) ).
fof(f583,plain,
( spl15_46
<=> ! [X0] : leq(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_46])]) ).
fof(f233,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(f581,plain,
spl15_45,
inference(avatar_split_clause,[],[f232,f579]) ).
fof(f579,plain,
( spl15_45
<=> ! [X0] : ~ setIn(X0,setEmpty) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_45])]) ).
fof(f232,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(f577,plain,
spl15_44,
inference(avatar_split_clause,[],[f231,f575]) ).
fof(f231,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(f573,plain,
( spl15_43
| ~ spl15_15
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f518,f510,f415,f570]) ).
fof(f510,plain,
( spl15_33
<=> host(sK5) = host(sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_33])]) ).
fof(f518,plain,
( elec_2 = index(status,host(sK5))
| ~ spl15_15
| ~ spl15_33 ),
inference(superposition,[],[f417,f512]) ).
fof(f512,plain,
( host(sK5) = host(sK6)
| ~ spl15_33 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f568,plain,
~ spl15_42,
inference(avatar_split_clause,[],[f229,f565]) ).
fof(f565,plain,
( spl15_42
<=> setIn(nil,alive) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_42])]) ).
fof(f229,plain,
~ setIn(nil,alive),
inference(cnf_transformation,[],[f35]) ).
fof(f35,axiom,
~ setIn(nil,alive),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_34) ).
fof(f563,plain,
~ spl15_41,
inference(avatar_split_clause,[],[f228,f560]) ).
fof(f560,plain,
( spl15_41
<=> elec_2 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl15_41])]) ).
fof(f228,plain,
elec_2 != norm,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
elec_2 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_09) ).
fof(f558,plain,
~ spl15_40,
inference(avatar_split_clause,[],[f227,f555]) ).
fof(f555,plain,
( spl15_40
<=> elec_2 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl15_40])]) ).
fof(f227,plain,
elec_2 != wait,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
elec_2 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_08) ).
fof(f553,plain,
~ spl15_39,
inference(avatar_split_clause,[],[f226,f550]) ).
fof(f550,plain,
( spl15_39
<=> elec_1 = elec_2 ),
introduced(avatar_definition,[new_symbols(naming,[spl15_39])]) ).
fof(f226,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(f548,plain,
~ spl15_38,
inference(avatar_split_clause,[],[f225,f545]) ).
fof(f545,plain,
( spl15_38
<=> elec_1 = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl15_38])]) ).
fof(f225,plain,
elec_1 != norm,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
elec_1 != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_07) ).
fof(f543,plain,
~ spl15_37,
inference(avatar_split_clause,[],[f224,f540]) ).
fof(f540,plain,
( spl15_37
<=> elec_1 = wait ),
introduced(avatar_definition,[new_symbols(naming,[spl15_37])]) ).
fof(f224,plain,
elec_1 != wait,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
elec_1 != wait,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_06) ).
fof(f538,plain,
~ spl15_36,
inference(avatar_split_clause,[],[f223,f535]) ).
fof(f535,plain,
( spl15_36
<=> wait = norm ),
introduced(avatar_definition,[new_symbols(naming,[spl15_36])]) ).
fof(f223,plain,
wait != norm,
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
wait != norm,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f531,plain,
( ~ spl15_35
| spl15_32
| ~ spl15_33 ),
inference(avatar_split_clause,[],[f514,f510,f506,f528]) ).
fof(f514,plain,
( ~ setIn(host(sK5),index(acks,host(sK4)))
| spl15_32
| ~ spl15_33 ),
inference(forward_demodulation,[],[f507,f512]) ).
fof(f507,plain,
( ~ setIn(host(sK6),index(acks,host(sK4)))
| spl15_32 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f526,plain,
( spl15_34
| ~ spl15_29 ),
inference(avatar_split_clause,[],[f499,f489,f524]) ).
fof(f499,plain,
( ! [X0] : ~ elem(m_Down(X0),queue(host(X0)))
| ~ spl15_29 ),
inference(equality_resolution,[],[f490]) ).
fof(f513,plain,
( spl15_32
| spl15_33 ),
inference(avatar_split_clause,[],[f208,f510,f506]) ).
fof(f208,plain,
( host(sK5) = host(sK6)
| setIn(host(sK6),index(acks,host(sK4))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f504,plain,
spl15_31,
inference(avatar_split_clause,[],[f186,f502]) ).
fof(f186,plain,
! [X40,X38,X39] :
( ~ leq(host(X38),host(X40))
| ~ elem(m_Ack(X40,X38),queue(host(X39))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f495,plain,
spl15_30,
inference(avatar_split_clause,[],[f185,f493]) ).
fof(f493,plain,
( spl15_30
<=> ! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_30])]) ).
fof(f185,plain,
! [X41,X42] :
( ~ leq(host(X41),host(X42))
| ~ elem(m_Halt(X42),queue(host(X41))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f491,plain,
spl15_29,
inference(avatar_split_clause,[],[f184,f489]) ).
fof(f184,plain,
! [X44,X43] :
( host(X43) != host(X44)
| ~ elem(m_Down(X44),queue(host(X43))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f487,plain,
spl15_28,
inference(avatar_split_clause,[],[f183,f485]) ).
fof(f485,plain,
( spl15_28
<=> ! [X45,X46] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_28])]) ).
fof(f183,plain,
! [X46,X45] :
( ~ leq(host(X45),host(X46))
| ~ elem(m_Ldr(X46),queue(host(X45))) ),
inference(cnf_transformation,[],[f152]) ).
fof(f483,plain,
( spl15_27
| ~ spl15_6
| ~ spl15_26 ),
inference(avatar_split_clause,[],[f478,f474,f367,f480]) ).
fof(f474,plain,
( spl15_26
<=> elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_26])]) ).
fof(f478,plain,
( elem(m_Ack(sK10,sK8),snoc(queue(host(sK6)),m_Ldr(sK4)))
| ~ spl15_6
| ~ spl15_26 ),
inference(forward_demodulation,[],[f476,f369]) ).
fof(f476,plain,
( elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4)))
| ~ spl15_26 ),
inference(avatar_component_clause,[],[f474]) ).
fof(f477,plain,
spl15_26,
inference(avatar_split_clause,[],[f215,f474]) ).
fof(f215,plain,
elem(m_Ack(sK10,sK8),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f472,plain,
( spl15_25
| ~ spl15_6
| ~ spl15_24 ),
inference(avatar_split_clause,[],[f467,f463,f367,f469]) ).
fof(f463,plain,
( spl15_24
<=> elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_24])]) ).
fof(f467,plain,
( elem(m_Down(sK9),snoc(queue(host(sK6)),m_Ldr(sK4)))
| ~ spl15_6
| ~ spl15_24 ),
inference(forward_demodulation,[],[f465,f369]) ).
fof(f465,plain,
( elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4)))
| ~ spl15_24 ),
inference(avatar_component_clause,[],[f463]) ).
fof(f466,plain,
spl15_24,
inference(avatar_split_clause,[],[f214,f463]) ).
fof(f214,plain,
elem(m_Down(sK9),snoc(queue(host(sK10)),m_Ldr(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f461,plain,
spl15_23,
inference(avatar_split_clause,[],[f202,f458]) ).
fof(f202,plain,
queue(host(sK4)) = cons(m_Ack(sK3,sK5),sK2),
inference(cnf_transformation,[],[f152]) ).
fof(f456,plain,
spl15_22,
inference(avatar_split_clause,[],[f222,f453]) ).
fof(f453,plain,
( spl15_22
<=> ordered(q_nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).
fof(f222,plain,
ordered(q_nil),
inference(cnf_transformation,[],[f52]) ).
fof(f52,axiom,
ordered(q_nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).
fof(f451,plain,
( spl15_21
| ~ spl15_6
| ~ spl15_19
| ~ spl15_20 ),
inference(avatar_split_clause,[],[f446,f441,f436,f367,f448]) ).
fof(f441,plain,
( spl15_20
<=> host(sK9) = s(index(pendack,host(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_20])]) ).
fof(f446,plain,
( host(sK9) = s(host(sK8))
| ~ spl15_6
| ~ spl15_19
| ~ spl15_20 ),
inference(forward_demodulation,[],[f445,f438]) ).
fof(f445,plain,
( host(sK9) = s(index(pendack,host(sK6)))
| ~ spl15_6
| ~ spl15_20 ),
inference(forward_demodulation,[],[f443,f369]) ).
fof(f443,plain,
( host(sK9) = s(index(pendack,host(sK10)))
| ~ spl15_20 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f444,plain,
spl15_20,
inference(avatar_split_clause,[],[f218,f441]) ).
fof(f218,plain,
host(sK9) = s(index(pendack,host(sK10))),
inference(cnf_transformation,[],[f152]) ).
fof(f439,plain,
( spl15_19
| ~ spl15_6
| ~ spl15_17 ),
inference(avatar_split_clause,[],[f429,f425,f367,f436]) ).
fof(f425,plain,
( spl15_17
<=> index(pendack,host(sK10)) = host(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_17])]) ).
fof(f429,plain,
( host(sK8) = index(pendack,host(sK6))
| ~ spl15_6
| ~ spl15_17 ),
inference(forward_demodulation,[],[f427,f369]) ).
fof(f427,plain,
( index(pendack,host(sK10)) = host(sK8)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f434,plain,
spl15_18,
inference(avatar_split_clause,[],[f220,f431]) ).
fof(f220,plain,
host(sK7) = index(ldr,host(sK7)),
inference(cnf_transformation,[],[f152]) ).
fof(f428,plain,
spl15_17,
inference(avatar_split_clause,[],[f217,f425]) ).
fof(f217,plain,
index(pendack,host(sK10)) = host(sK8),
inference(cnf_transformation,[],[f152]) ).
fof(f423,plain,
spl15_16,
inference(avatar_split_clause,[],[f206,f420]) ).
fof(f206,plain,
host(sK5) = index(pendack,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f418,plain,
( spl15_15
| ~ spl15_6
| ~ spl15_13 ),
inference(avatar_split_clause,[],[f408,f404,f367,f415]) ).
fof(f404,plain,
( spl15_13
<=> elec_2 = index(status,host(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_13])]) ).
fof(f408,plain,
( elec_2 = index(status,host(sK6))
| ~ spl15_6
| ~ spl15_13 ),
inference(forward_demodulation,[],[f406,f369]) ).
fof(f406,plain,
( elec_2 = index(status,host(sK10))
| ~ spl15_13 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f413,plain,
spl15_14,
inference(avatar_split_clause,[],[f221,f410]) ).
fof(f221,plain,
norm = index(status,host(sK7)),
inference(cnf_transformation,[],[f152]) ).
fof(f407,plain,
spl15_13,
inference(avatar_split_clause,[],[f216,f404]) ).
fof(f216,plain,
elec_2 = index(status,host(sK10)),
inference(cnf_transformation,[],[f152]) ).
fof(f402,plain,
( spl15_12
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f397,f393,f399]) ).
fof(f393,plain,
( spl15_11
<=> leq(nbr_proc,index(pendack,host(sK4))) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_11])]) ).
fof(f397,plain,
( leq(nbr_proc,host(sK5))
| ~ spl15_11 ),
inference(forward_demodulation,[],[f395,f206]) ).
fof(f395,plain,
( leq(nbr_proc,index(pendack,host(sK4)))
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f396,plain,
spl15_11,
inference(avatar_split_clause,[],[f207,f393]) ).
fof(f207,plain,
leq(nbr_proc,index(pendack,host(sK4))),
inference(cnf_transformation,[],[f152]) ).
fof(f391,plain,
spl15_10,
inference(avatar_split_clause,[],[f205,f388]) ).
fof(f205,plain,
elec_2 = index(status,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f386,plain,
spl15_9,
inference(avatar_split_clause,[],[f204,f383]) ).
fof(f204,plain,
sK3 = index(elid,host(sK4)),
inference(cnf_transformation,[],[f152]) ).
fof(f381,plain,
( ~ spl15_8
| ~ spl15_6
| spl15_7 ),
inference(avatar_split_clause,[],[f376,f372,f367,f378]) ).
fof(f372,plain,
( spl15_7
<=> host(sK4) = host(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl15_7])]) ).
fof(f376,plain,
( host(sK4) != host(sK6)
| ~ spl15_6
| spl15_7 ),
inference(forward_demodulation,[],[f374,f369]) ).
fof(f374,plain,
( host(sK4) != host(sK10)
| spl15_7 ),
inference(avatar_component_clause,[],[f372]) ).
fof(f375,plain,
~ spl15_7,
inference(avatar_split_clause,[],[f211,f372]) ).
fof(f211,plain,
host(sK4) != host(sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f370,plain,
spl15_6,
inference(avatar_split_clause,[],[f210,f367]) ).
fof(f210,plain,
host(sK6) = host(sK10),
inference(cnf_transformation,[],[f152]) ).
fof(f365,plain,
~ spl15_5,
inference(avatar_split_clause,[],[f209,f362]) ).
fof(f209,plain,
host(sK4) != host(sK7),
inference(cnf_transformation,[],[f152]) ).
fof(f360,plain,
spl15_4,
inference(avatar_split_clause,[],[f335,f357]) ).
fof(f335,plain,
leq(nbr_proc,host(sK9)),
inference(forward_demodulation,[],[f213,f218]) ).
fof(f213,plain,
leq(nbr_proc,s(index(pendack,host(sK10)))),
inference(cnf_transformation,[],[f152]) ).
fof(f355,plain,
spl15_3,
inference(avatar_split_clause,[],[f219,f352]) ).
fof(f219,plain,
setIn(sK7,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f350,plain,
spl15_2,
inference(avatar_split_clause,[],[f212,f347]) ).
fof(f212,plain,
setIn(sK10,alive),
inference(cnf_transformation,[],[f152]) ).
fof(f345,plain,
spl15_1,
inference(avatar_split_clause,[],[f203,f342]) ).
fof(f203,plain,
setIn(sK4,alive),
inference(cnf_transformation,[],[f152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV463+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:16:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (23110)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (23113)WARNING: value z3 for option sas not known
% 0.15/0.38 % (23111)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (23112)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (23114)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (23115)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)
% 0.15/0.38 % (23113)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)
% 0.15/0.38 % (23116)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)
% 0.15/0.38 % (23117)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)
% 0.15/0.40 Detected minimum model sizes of [4]
% 0.15/0.40 Detected maximum model sizes of [max]
% 0.15/0.40 TRYING [4]
% 0.22/0.44 Detected minimum model sizes of [4]
% 0.22/0.44 Detected maximum model sizes of [max]
% 0.22/0.45 TRYING [4]
% 0.22/0.46 % (23115)First to succeed.
% 0.22/0.46 TRYING [5]
% 0.22/0.48 % (23115)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-23110"
% 0.22/0.48 % (23115)Refutation found. Thanks to Tanya!
% 0.22/0.48 % SZS status Theorem for theBenchmark
% 0.22/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.49 % (23115)------------------------------
% 0.22/0.49 % (23115)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.49 % (23115)Termination reason: Refutation
% 0.22/0.49
% 0.22/0.49 % (23115)Memory used [KB]: 2185
% 0.22/0.49 % (23115)Time elapsed: 0.098 s
% 0.22/0.49 % (23115)Instructions burned: 157 (million)
% 0.22/0.49 % (23110)Success in time 0.125 s
%------------------------------------------------------------------------------