TSTP Solution File: ALG106+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : ALG106+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n019.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 : Mon Jun 24 04:11:05 EDT 2024
% Result : Theorem 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 224
% Syntax : Number of formulae : 1411 ( 209 unt; 0 def)
% Number of atoms : 5189 (2967 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6179 (2401 ~;2645 |; 964 &)
% ( 169 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 209 ( 207 usr; 208 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3851,plain,
$false,
inference(avatar_sat_refutation,[],[f652,f675,f690,f713,f850,f952,f1229,f1281,f1292,f1325,f1343,f1354,f1363,f1385,f1398,f1414,f1420,f1432,f1436,f1443,f1446,f1449,f1452,f1459,f1464,f1465,f1478,f1479,f1482,f1483,f1520,f1531,f1553,f1573,f1580,f1591,f1600,f1608,f1621,f1634,f1650,f1655,f1665,f1667,f1672,f1674,f1679,f1681,f1684,f1689,f1692,f1697,f1698,f1700,f1704,f1708,f1721,f1731,f1733,f1734,f1735,f1747,f1755,f1764,f1773,f1776,f1777,f1789,f1796,f1801,f1802,f1811,f1814,f1828,f1840,f1850,f1856,f1904,f1915,f1928,f1939,f1963,f1971,f1973,f1974,f1975,f1987,f1994,f1997,f2003,f2004,f2005,f2006,f2015,f2021,f2023,f2024,f2030,f2031,f2032,f2043,f2051,f2059,f2061,f2106,f2117,f2130,f2141,f2187,f2190,f2200,f2203,f2214,f2217,f2221,f2223,f2230,f2231,f2259,f2260,f2270,f2277,f2285,f2321,f2326,f2331,f2333,f2335,f2345,f2347,f2351,f2354,f2361,f2367,f2392,f2394,f2404,f2407,f2418,f2473,f2480,f2504,f2507,f2520,f2527,f2546,f2565,f2584,f2599,f2606,f2627,f2638,f2641,f2643,f2647,f2649,f2678,f2695,f2711,f2718,f2726,f2728,f2742,f2772,f2782,f2786,f2793,f2796,f2801,f2816,f2833,f2840,f2848,f2850,f2855,f2881,f2904,f2906,f2911,f2921,f2956,f2960,f2992,f3001,f3002,f3017,f3028,f3046,f3063,f3068,f3085,f3091,f3109,f3115,f3132,f3138,f3154,f3159,f3177,f3183,f3200,f3206,f3224,f3230,f3247,f3253,f3271,f3276,f3293,f3297,f3312,f3317,f3328,f3330,f3334,f3337,f3347,f3354,f3360,f3374,f3382,f3392,f3440,f3444,f3446,f3496,f3521,f3524,f3526,f3531,f3548,f3552,f3563,f3573,f3609,f3615,f3617,f3628,f3637,f3652,f3700,f3715,f3722,f3732,f3735,f3761,f3794,f3835]) ).
fof(f3835,plain,
( ~ spl38_151
| ~ spl38_160 ),
inference(avatar_contradiction_clause,[],[f3834]) ).
fof(f3834,plain,
( $false
| ~ spl38_151
| ~ spl38_160 ),
inference(subsumption_resolution,[],[f3833,f197]) ).
fof(f197,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3833,plain,
( e20 = e22
| ~ spl38_151
| ~ spl38_160 ),
inference(backward_demodulation,[],[f1329,f1367]) ).
fof(f1367,plain,
( e20 = op2(e20,e22)
| ~ spl38_160 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1366,plain,
( spl38_160
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_160])]) ).
fof(f1329,plain,
( e22 = op2(e20,e22)
| ~ spl38_151 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1328,plain,
( spl38_151
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_151])]) ).
fof(f3794,plain,
( ~ spl38_198
| ~ spl38_210 ),
inference(avatar_contradiction_clause,[],[f3793]) ).
fof(f3793,plain,
( $false
| ~ spl38_198
| ~ spl38_210 ),
inference(subsumption_resolution,[],[f1638,f3774]) ).
fof(f3774,plain,
( e11 != op1(e11,e10)
| ~ spl38_198 ),
inference(forward_demodulation,[],[f271,f1587]) ).
fof(f1587,plain,
( e11 = op1(e11,e12)
| ~ spl38_198 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1586,plain,
( spl38_198
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_198])]) ).
fof(f271,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1638,plain,
( e11 = op1(e11,e10)
| ~ spl38_210 ),
inference(avatar_component_clause,[],[f1637]) ).
fof(f1637,plain,
( spl38_210
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_210])]) ).
fof(f3761,plain,
( spl38_66
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_167
| ~ spl38_211 ),
inference(avatar_contradiction_clause,[],[f3760]) ).
fof(f3760,plain,
( $false
| spl38_66
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_167
| ~ spl38_211 ),
inference(subsumption_resolution,[],[f3759,f1409]) ).
fof(f1409,plain,
( e20 = op2(e20,e21)
| ~ spl38_167 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1408,plain,
( spl38_167
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_167])]) ).
fof(f3759,plain,
( e20 != op2(e20,e21)
| spl38_66
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_211 ),
inference(forward_demodulation,[],[f3758,f3564]) ).
fof(f3564,plain,
( e20 = h3(e10)
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f3483,f1300]) ).
fof(f1300,plain,
( e20 = op2(e23,e22)
| ~ spl38_144 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl38_144
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_144])]) ).
fof(f3483,plain,
( op2(e23,e22) = h3(e10)
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f1157,f3481]) ).
fof(f3481,plain,
( e23 = h3(e12)
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f3477,f1321]) ).
fof(f1321,plain,
( e23 = op2(e22,e21)
| ~ spl38_149 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl38_149
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_149])]) ).
fof(f3477,plain,
( op2(e22,e21) = h3(e12)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f1154,f3475]) ).
fof(f3475,plain,
( e21 = h3(e11)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f230,f1353]) ).
fof(f1353,plain,
( e21 = op2(e22,e22)
| ~ spl38_157 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1352,plain,
( spl38_157
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_157])]) ).
fof(f230,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,op2(e22,e22)) = h3(e12)
& op2(e22,e22) = h3(e11)
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22)
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1154,plain,
h3(e12) = op2(e22,h3(e11)),
inference(backward_demodulation,[],[f231,f230]) ).
fof(f231,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1157,plain,
h3(e10) = op2(h3(e12),e22),
inference(forward_demodulation,[],[f1156,f1154]) ).
fof(f1156,plain,
h3(e10) = op2(op2(e22,h3(e11)),e22),
inference(forward_demodulation,[],[f229,f230]) ).
fof(f229,plain,
h3(e10) = op2(op2(e22,op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f3758,plain,
( op2(e20,e21) != h3(e10)
| spl38_66
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_211 ),
inference(forward_demodulation,[],[f3757,f1643]) ).
fof(f1643,plain,
( e10 = op1(e10,e11)
| ~ spl38_211 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1642,plain,
( spl38_211
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_211])]) ).
fof(f3757,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl38_66
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3756,f3564]) ).
fof(f3756,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl38_66
| ~ spl38_157 ),
inference(forward_demodulation,[],[f885,f3475]) ).
fof(f885,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl38_66 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl38_66
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_66])]) ).
fof(f3735,plain,
( ~ spl38_217
| ~ spl38_218 ),
inference(avatar_contradiction_clause,[],[f3734]) ).
fof(f3734,plain,
( $false
| ~ spl38_217
| ~ spl38_218 ),
inference(subsumption_resolution,[],[f3733,f218]) ).
fof(f218,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3733,plain,
( e10 = e11
| ~ spl38_217
| ~ spl38_218 ),
inference(backward_demodulation,[],[f1671,f1678]) ).
fof(f1678,plain,
( e10 = op1(e10,e10)
| ~ spl38_218 ),
inference(avatar_component_clause,[],[f1677]) ).
fof(f1677,plain,
( spl38_218
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_218])]) ).
fof(f1671,plain,
( op1(e10,e10) = e11
| ~ spl38_217 ),
inference(avatar_component_clause,[],[f1670]) ).
fof(f1670,plain,
( spl38_217
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_217])]) ).
fof(f3732,plain,
( spl38_218
| ~ spl38_211
| ~ spl38_257 ),
inference(avatar_split_clause,[],[f3731,f2133,f1642,f1677]) ).
fof(f2133,plain,
( spl38_257
<=> e10 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_257])]) ).
fof(f3731,plain,
( e10 = op1(e10,e10)
| ~ spl38_211
| ~ spl38_257 ),
inference(forward_demodulation,[],[f2134,f1643]) ).
fof(f2134,plain,
( e10 = op1(e10,op1(e10,e11))
| ~ spl38_257 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f3722,plain,
( ~ spl38_203
| ~ spl38_217
| ~ spl38_254 ),
inference(avatar_contradiction_clause,[],[f3721]) ).
fof(f3721,plain,
( $false
| ~ spl38_203
| ~ spl38_217
| ~ spl38_254 ),
inference(subsumption_resolution,[],[f3720,f2689]) ).
fof(f2689,plain,
( e11 != op1(e11,e10)
| ~ spl38_217 ),
inference(forward_demodulation,[],[f240,f1671]) ).
fof(f240,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3720,plain,
( e11 = op1(e11,e10)
| ~ spl38_203
| ~ spl38_254 ),
inference(forward_demodulation,[],[f2123,f1607]) ).
fof(f1607,plain,
( e10 = op1(e11,e12)
| ~ spl38_203 ),
inference(avatar_component_clause,[],[f1606]) ).
fof(f1606,plain,
( spl38_203
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_203])]) ).
fof(f2123,plain,
( e11 = op1(e11,op1(e11,e12))
| ~ spl38_254 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2122,plain,
( spl38_254
<=> e11 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_254])]) ).
fof(f3715,plain,
( ~ spl38_199
| ~ spl38_255 ),
inference(avatar_contradiction_clause,[],[f3714]) ).
fof(f3714,plain,
( $false
| ~ spl38_199
| ~ spl38_255 ),
inference(subsumption_resolution,[],[f3713,f1249]) ).
fof(f1249,plain,
e12 != op1(e12,e11),
inference(backward_demodulation,[],[f251,f1246]) ).
fof(f1246,plain,
e12 = op1(e13,e11),
inference(backward_demodulation,[],[f341,f340]) ).
fof(f340,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(e13,op1(e13,e13))
& e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f341,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f251,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3713,plain,
( e12 = op1(e12,e11)
| ~ spl38_199
| ~ spl38_255 ),
inference(forward_demodulation,[],[f2126,f1590]) ).
fof(f1590,plain,
( e11 = op1(e12,e12)
| ~ spl38_199 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl38_199
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_199])]) ).
fof(f2126,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl38_255 ),
inference(avatar_component_clause,[],[f2125]) ).
fof(f2125,plain,
( spl38_255
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_255])]) ).
fof(f3700,plain,
( ~ spl38_182
| ~ spl38_256 ),
inference(avatar_contradiction_clause,[],[f3699]) ).
fof(f3699,plain,
( $false
| ~ spl38_182
| ~ spl38_256 ),
inference(subsumption_resolution,[],[f3698,f222]) ).
fof(f222,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3698,plain,
( e11 = e13
| ~ spl38_182
| ~ spl38_256 ),
inference(forward_demodulation,[],[f3697,f340]) ).
fof(f3697,plain,
( e13 = op1(e13,e13)
| ~ spl38_182
| ~ spl38_256 ),
inference(backward_demodulation,[],[f2129,f1519]) ).
fof(f1519,plain,
( e13 = op1(e13,e12)
| ~ spl38_182 ),
inference(avatar_component_clause,[],[f1518]) ).
fof(f1518,plain,
( spl38_182
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_182])]) ).
fof(f2129,plain,
( e13 = op1(e13,op1(e13,e12))
| ~ spl38_256 ),
inference(avatar_component_clause,[],[f2128]) ).
fof(f2128,plain,
( spl38_256
<=> e13 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_256])]) ).
fof(f3652,plain,
( spl38_198
| ~ spl38_184
| ~ spl38_252 ),
inference(avatar_split_clause,[],[f3649,f2115,f1529,f1586]) ).
fof(f1529,plain,
( spl38_184
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_184])]) ).
fof(f2115,plain,
( spl38_252
<=> e11 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_252])]) ).
fof(f3649,plain,
( e11 = op1(e11,e12)
| ~ spl38_184
| ~ spl38_252 ),
inference(backward_demodulation,[],[f2116,f1530]) ).
fof(f1530,plain,
( e12 = op1(e11,e13)
| ~ spl38_184 ),
inference(avatar_component_clause,[],[f1529]) ).
fof(f2116,plain,
( e11 = op1(e11,op1(e11,e13))
| ~ spl38_252 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f3637,plain,
( ~ spl38_197
| ~ spl38_217 ),
inference(avatar_contradiction_clause,[],[f3636]) ).
fof(f3636,plain,
( $false
| ~ spl38_197
| ~ spl38_217 ),
inference(subsumption_resolution,[],[f1584,f2670]) ).
fof(f2670,plain,
( e11 != op1(e10,e12)
| ~ spl38_217 ),
inference(backward_demodulation,[],[f265,f1671]) ).
fof(f265,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1584,plain,
( e11 = op1(e10,e12)
| ~ spl38_197 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1583,plain,
( spl38_197
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_197])]) ).
fof(f3628,plain,
( ~ spl38_216
| ~ spl38_217 ),
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3627,plain,
( $false
| ~ spl38_216
| ~ spl38_217 ),
inference(subsumption_resolution,[],[f3626,f221]) ).
fof(f221,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3626,plain,
( e11 = e12
| ~ spl38_216
| ~ spl38_217 ),
inference(forward_demodulation,[],[f1664,f1671]) ).
fof(f1664,plain,
( op1(e10,e10) = e12
| ~ spl38_216 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1663,plain,
( spl38_216
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_216])]) ).
fof(f3617,plain,
( ~ spl38_182
| ~ spl38_189 ),
inference(avatar_contradiction_clause,[],[f3616]) ).
fof(f3616,plain,
( $false
| ~ spl38_182
| ~ spl38_189 ),
inference(subsumption_resolution,[],[f1519,f3583]) ).
fof(f3583,plain,
( e13 != op1(e13,e12)
| ~ spl38_189 ),
inference(forward_demodulation,[],[f256,f1549]) ).
fof(f1549,plain,
( e13 = op1(e11,e12)
| ~ spl38_189 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1548,plain,
( spl38_189
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_189])]) ).
fof(f256,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3615,plain,
( ~ spl38_183
| ~ spl38_193 ),
inference(avatar_contradiction_clause,[],[f3614]) ).
fof(f3614,plain,
( $false
| ~ spl38_183
| ~ spl38_193 ),
inference(subsumption_resolution,[],[f1527,f3579]) ).
fof(f3579,plain,
( e12 != op1(e10,e13)
| ~ spl38_193 ),
inference(forward_demodulation,[],[f269,f1566]) ).
fof(f1566,plain,
( e12 = op1(e10,e12)
| ~ spl38_193 ),
inference(avatar_component_clause,[],[f1565]) ).
fof(f1565,plain,
( spl38_193
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_193])]) ).
fof(f269,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1527,plain,
( e12 = op1(e10,e13)
| ~ spl38_183 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1526,plain,
( spl38_183
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_183])]) ).
fof(f3609,plain,
( ~ spl38_188
| ~ spl38_193 ),
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3608,plain,
( $false
| ~ spl38_188
| ~ spl38_193 ),
inference(subsumption_resolution,[],[f3607,f223]) ).
fof(f223,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3607,plain,
( e12 = e13
| ~ spl38_188
| ~ spl38_193 ),
inference(forward_demodulation,[],[f1546,f1566]) ).
fof(f1546,plain,
( e13 = op1(e10,e12)
| ~ spl38_188 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1545,plain,
( spl38_188
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_188])]) ).
fof(f3573,plain,
( spl38_69
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_169
| ~ spl38_214 ),
inference(avatar_contradiction_clause,[],[f3572]) ).
fof(f3572,plain,
( $false
| spl38_69
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_169
| ~ spl38_214 ),
inference(subsumption_resolution,[],[f3569,f1419]) ).
fof(f1419,plain,
( e20 = op2(e21,e20)
| ~ spl38_169 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl38_169
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_169])]) ).
fof(f3569,plain,
( e20 != op2(e21,e20)
| spl38_69
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_214 ),
inference(backward_demodulation,[],[f3480,f3564]) ).
fof(f3480,plain,
( h3(e10) != op2(e21,h3(e10))
| spl38_69
| ~ spl38_157
| ~ spl38_214 ),
inference(backward_demodulation,[],[f3455,f3475]) ).
fof(f3455,plain,
( h3(e10) != op2(h3(e11),h3(e10))
| spl38_69
| ~ spl38_214 ),
inference(forward_demodulation,[],[f894,f1654]) ).
fof(f1654,plain,
( e10 = op1(e11,e10)
| ~ spl38_214 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1653,plain,
( spl38_214
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_214])]) ).
fof(f894,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl38_69 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl38_69
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_69])]) ).
fof(f3563,plain,
( ~ spl38_88
| ~ spl38_147
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_split_clause,[],[f3562,f1352,f1320,f1310,f964]) ).
fof(f964,plain,
( spl38_88
<=> e23 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_88])]) ).
fof(f1310,plain,
( spl38_147
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_147])]) ).
fof(f3562,plain,
( e23 != h3(e10)
| ~ spl38_147
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f3533,f1311]) ).
fof(f1311,plain,
( e23 = op2(e21,e22)
| ~ spl38_147 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f3533,plain,
( op2(e21,e22) != h3(e10)
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f304,f3483]) ).
fof(f304,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3552,plain,
( ~ spl38_207
| ~ spl38_214 ),
inference(avatar_contradiction_clause,[],[f3551]) ).
fof(f3551,plain,
( $false
| ~ spl38_207
| ~ spl38_214 ),
inference(subsumption_resolution,[],[f3550,f219]) ).
fof(f219,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3550,plain,
( e10 = e12
| ~ spl38_207
| ~ spl38_214 ),
inference(forward_demodulation,[],[f1625,f1654]) ).
fof(f1625,plain,
( e12 = op1(e11,e10)
| ~ spl38_207 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl38_207
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_207])]) ).
fof(f3548,plain,
( ~ spl38_179
| ~ spl38_251 ),
inference(avatar_contradiction_clause,[],[f3547]) ).
fof(f3547,plain,
( $false
| ~ spl38_179
| ~ spl38_251 ),
inference(subsumption_resolution,[],[f3546,f1255]) ).
fof(f1255,plain,
e10 != op1(e10,e13),
inference(backward_demodulation,[],[f259,f1253]) ).
fof(f1253,plain,
e10 = op1(e12,e13),
inference(forward_demodulation,[],[f1252,f1246]) ).
fof(f1252,plain,
e10 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[],[f339,f340]) ).
fof(f339,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f259,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3546,plain,
( e10 = op1(e10,e13)
| ~ spl38_179
| ~ spl38_251 ),
inference(forward_demodulation,[],[f2113,f1505]) ).
fof(f1505,plain,
( e13 = op1(e10,e13)
| ~ spl38_179 ),
inference(avatar_component_clause,[],[f1504]) ).
fof(f1504,plain,
( spl38_179
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_179])]) ).
fof(f2113,plain,
( e10 = op1(e10,op1(e10,e13))
| ~ spl38_251 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f2112,plain,
( spl38_251
<=> e10 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_251])]) ).
fof(f3531,plain,
( ~ spl38_163
| ~ spl38_166 ),
inference(avatar_contradiction_clause,[],[f3530]) ).
fof(f3530,plain,
( $false
| ~ spl38_163
| ~ spl38_166 ),
inference(subsumption_resolution,[],[f3528,f200]) ).
fof(f200,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3528,plain,
( e21 = e23
| ~ spl38_163
| ~ spl38_166 ),
inference(backward_demodulation,[],[f1384,f1403]) ).
fof(f1403,plain,
( e21 = op2(e21,e20)
| ~ spl38_166 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1402,plain,
( spl38_166
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_166])]) ).
fof(f1384,plain,
( e23 = op2(e21,e20)
| ~ spl38_163 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl38_163
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_163])]) ).
fof(f3526,plain,
( spl38_160
| ~ spl38_151
| ~ spl38_232 ),
inference(avatar_split_clause,[],[f3525,f1919,f1328,f1366]) ).
fof(f1919,plain,
( spl38_232
<=> e20 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_232])]) ).
fof(f3525,plain,
( e20 = op2(e20,e22)
| ~ spl38_151
| ~ spl38_232 ),
inference(forward_demodulation,[],[f1920,f1329]) ).
fof(f1920,plain,
( e20 = op2(e20,op2(e20,e22))
| ~ spl38_232 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f3524,plain,
( spl38_166
| ~ spl38_161
| ~ spl38_233 ),
inference(avatar_split_clause,[],[f3523,f1922,f1369,f1402]) ).
fof(f1369,plain,
( spl38_161
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_161])]) ).
fof(f1922,plain,
( spl38_233
<=> e21 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_233])]) ).
fof(f3523,plain,
( e21 = op2(e21,e20)
| ~ spl38_161
| ~ spl38_233 ),
inference(forward_demodulation,[],[f1923,f1370]) ).
fof(f1370,plain,
( e20 = op2(e21,e22)
| ~ spl38_161 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1923,plain,
( e21 = op2(e21,op2(e21,e22))
| ~ spl38_233 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f3521,plain,
( ~ spl38_140
| ~ spl38_149
| ~ spl38_157
| ~ spl38_234 ),
inference(avatar_contradiction_clause,[],[f3520]) ).
fof(f3520,plain,
( $false
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157
| ~ spl38_234 ),
inference(subsumption_resolution,[],[f3519,f200]) ).
fof(f3519,plain,
( e21 = e23
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157
| ~ spl38_234 ),
inference(forward_demodulation,[],[f3517,f337]) ).
fof(f337,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f3517,plain,
( e23 = op2(e23,e23)
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157
| ~ spl38_234 ),
inference(backward_demodulation,[],[f3485,f3494]) ).
fof(f3494,plain,
( e23 = h3(e10)
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f3483,f1280]) ).
fof(f1280,plain,
( e23 = op2(e23,e22)
| ~ spl38_140 ),
inference(avatar_component_clause,[],[f1279]) ).
fof(f1279,plain,
( spl38_140
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_140])]) ).
fof(f3485,plain,
( e23 = op2(e23,h3(e10))
| ~ spl38_149
| ~ spl38_157
| ~ spl38_234 ),
inference(backward_demodulation,[],[f1926,f3483]) ).
fof(f1926,plain,
( e23 = op2(e23,op2(e23,e22))
| ~ spl38_234 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f1925,plain,
( spl38_234
<=> e23 = op2(e23,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_234])]) ).
fof(f3496,plain,
( spl38_88
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3495]) ).
fof(f3495,plain,
( $false
| spl38_88
| ~ spl38_140
| ~ spl38_149
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f3494,f965]) ).
fof(f965,plain,
( e23 != h3(e10)
| spl38_88 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f3446,plain,
( ~ spl38_141
| ~ spl38_151 ),
inference(avatar_contradiction_clause,[],[f3445]) ).
fof(f3445,plain,
( $false
| ~ spl38_141
| ~ spl38_151 ),
inference(subsumption_resolution,[],[f1288,f3426]) ).
fof(f3426,plain,
( e22 != op2(e20,e23)
| ~ spl38_151 ),
inference(forward_demodulation,[],[f317,f1329]) ).
fof(f317,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1288,plain,
( e22 = op2(e20,e23)
| ~ spl38_141 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1287,plain,
( spl38_141
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_141])]) ).
fof(f3444,plain,
( ~ spl38_154
| ~ spl38_164 ),
inference(avatar_contradiction_clause,[],[f3443]) ).
fof(f3443,plain,
( $false
| ~ spl38_154
| ~ spl38_164 ),
inference(subsumption_resolution,[],[f1389,f3432]) ).
fof(f3432,plain,
( e22 != op2(e21,e20)
| ~ spl38_154 ),
inference(forward_demodulation,[],[f291,f1342]) ).
fof(f1342,plain,
( e22 = op2(e22,e20)
| ~ spl38_154 ),
inference(avatar_component_clause,[],[f1341]) ).
fof(f1341,plain,
( spl38_154
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_154])]) ).
fof(f291,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1389,plain,
( e22 = op2(e21,e20)
| ~ spl38_164 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1388,plain,
( spl38_164
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_164])]) ).
fof(f3440,plain,
( ~ spl38_156
| ~ spl38_166 ),
inference(avatar_contradiction_clause,[],[f3439]) ).
fof(f3439,plain,
( $false
| ~ spl38_156
| ~ spl38_166 ),
inference(subsumption_resolution,[],[f1403,f3436]) ).
fof(f3436,plain,
( e21 != op2(e21,e20)
| ~ spl38_156 ),
inference(forward_demodulation,[],[f319,f1350]) ).
fof(f1350,plain,
( e21 = op2(e21,e22)
| ~ spl38_156 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1349,plain,
( spl38_156
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_156])]) ).
fof(f319,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3392,plain,
( ~ spl38_29
| ~ spl38_169 ),
inference(avatar_split_clause,[],[f2639,f1418,f745]) ).
fof(f745,plain,
( spl38_29
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_29])]) ).
fof(f2639,plain,
( e20 != h2(e11)
| ~ spl38_169 ),
inference(forward_demodulation,[],[f1187,f1419]) ).
fof(f1187,plain,
op2(e21,e20) != h2(e11),
inference(forward_demodulation,[],[f318,f234]) ).
fof(f234,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,op2(e21,e21)) = h2(e12)
& op2(e21,e21) = h2(e11)
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& e21 = h2(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f318,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3382,plain,
( spl38_175
| ~ spl38_167
| ~ spl38_235 ),
inference(avatar_split_clause,[],[f3381,f1933,f1408,f1487]) ).
fof(f1487,plain,
( spl38_175
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_175])]) ).
fof(f1933,plain,
( spl38_235
<=> e20 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_235])]) ).
fof(f3381,plain,
( e20 = op2(e20,e20)
| ~ spl38_167
| ~ spl38_235 ),
inference(forward_demodulation,[],[f1934,f1409]) ).
fof(f1934,plain,
( e20 = op2(e20,op2(e20,e21))
| ~ spl38_235 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f3374,plain,
spl38_81,
inference(avatar_contradiction_clause,[],[f3373]) ).
fof(f3373,plain,
( $false
| spl38_81 ),
inference(subsumption_resolution,[],[f932,f228]) ).
fof(f228,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f932,plain,
( e22 != h3(e13)
| spl38_81 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl38_81
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_81])]) ).
fof(f3360,plain,
( spl38_87
| ~ spl38_150 ),
inference(avatar_split_clause,[],[f3359,f1323,f957]) ).
fof(f957,plain,
( spl38_87
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_87])]) ).
fof(f1323,plain,
( spl38_150
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_150])]) ).
fof(f3359,plain,
( e23 = h3(e11)
| ~ spl38_150 ),
inference(backward_demodulation,[],[f230,f1324]) ).
fof(f1324,plain,
( e23 = op2(e22,e22)
| ~ spl38_150 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f3354,plain,
( ~ spl38_159
| ~ spl38_236 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
fof(f3353,plain,
( $false
| ~ spl38_159
| ~ spl38_236 ),
inference(subsumption_resolution,[],[f3352,f199]) ).
fof(f199,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3352,plain,
( e21 = e22
| ~ spl38_159
| ~ spl38_236 ),
inference(forward_demodulation,[],[f3348,f1362]) ).
fof(f1362,plain,
( e21 = op2(e22,e21)
| ~ spl38_159 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1361,plain,
( spl38_159
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_159])]) ).
fof(f3348,plain,
( e22 = op2(e22,e21)
| ~ spl38_159
| ~ spl38_236 ),
inference(backward_demodulation,[],[f1937,f1362]) ).
fof(f1937,plain,
( e22 = op2(e22,op2(e22,e21))
| ~ spl38_236 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f1936,plain,
( spl38_236
<=> e22 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_236])]) ).
fof(f3347,plain,
( spl38_111
| ~ spl38_174 ),
inference(avatar_split_clause,[],[f3346,f1476,f1047]) ).
fof(f1047,plain,
( spl38_111
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_111])]) ).
fof(f1476,plain,
( spl38_174
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_174])]) ).
fof(f3346,plain,
( e23 = h2(e11)
| ~ spl38_174 ),
inference(backward_demodulation,[],[f234,f1477]) ).
fof(f1477,plain,
( e23 = op2(e21,e21)
| ~ spl38_174 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f3337,plain,
spl38_10,
inference(avatar_contradiction_clause,[],[f3336]) ).
fof(f3336,plain,
( $false
| spl38_10 ),
inference(subsumption_resolution,[],[f674,f1233]) ).
fof(f1233,plain,
e20 = h4(e10),
inference(backward_demodulation,[],[f1209,f1232]) ).
fof(f1232,plain,
e20 = op2(e22,e23),
inference(forward_demodulation,[],[f1231,f1222]) ).
fof(f1222,plain,
e22 = op2(e23,e21),
inference(backward_demodulation,[],[f1207,f1216]) ).
fof(f1216,plain,
e21 = h4(e11),
inference(backward_demodulation,[],[f238,f337]) ).
fof(f238,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,op2(e23,e23)) = h4(e12)
& op2(e23,e23) = h4(e11)
& op2(op2(e23,op2(e23,e23)),e23) = h4(e10)
& e23 = h4(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1207,plain,
e22 = op2(e23,h4(e11)),
inference(forward_demodulation,[],[f338,f238]) ).
fof(f338,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f1231,plain,
e20 = op2(op2(e23,e21),e23),
inference(forward_demodulation,[],[f336,f337]) ).
fof(f336,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1209,plain,
op2(e22,e23) = h4(e10),
inference(backward_demodulation,[],[f1165,f1208]) ).
fof(f1208,plain,
e22 = h4(e12),
inference(backward_demodulation,[],[f1162,f1207]) ).
fof(f1162,plain,
h4(e12) = op2(e23,h4(e11)),
inference(backward_demodulation,[],[f239,f238]) ).
fof(f239,plain,
op2(e23,op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1165,plain,
h4(e10) = op2(h4(e12),e23),
inference(forward_demodulation,[],[f1164,f1162]) ).
fof(f1164,plain,
h4(e10) = op2(op2(e23,h4(e11)),e23),
inference(forward_demodulation,[],[f237,f238]) ).
fof(f237,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f674,plain,
( e20 != h4(e10)
| spl38_10 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl38_10
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_10])]) ).
fof(f3334,plain,
( spl38_86
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3333]) ).
fof(f3333,plain,
( $false
| spl38_86
| ~ spl38_149
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f951,f2996]) ).
fof(f2996,plain,
( e23 = h3(e12)
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f2995,f1321]) ).
fof(f2995,plain,
( op2(e22,e21) = h3(e12)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f1154,f2954]) ).
fof(f2954,plain,
( e21 = h3(e11)
| ~ spl38_157 ),
inference(forward_demodulation,[],[f230,f1353]) ).
fof(f951,plain,
( e23 != h3(e12)
| spl38_86 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl38_86
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_86])]) ).
fof(f3330,plain,
spl38_4,
inference(avatar_contradiction_clause,[],[f3329]) ).
fof(f3329,plain,
( $false
| spl38_4 ),
inference(subsumption_resolution,[],[f651,f1216]) ).
fof(f651,plain,
( e21 != h4(e11)
| spl38_4 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl38_4
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_4])]) ).
fof(f3328,plain,
( spl38_78
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3327]) ).
fof(f3327,plain,
( $false
| spl38_78
| ~ spl38_149
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f3326,f1321]) ).
fof(f3326,plain,
( e23 != op2(e22,e21)
| spl38_78
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3325,f2996]) ).
fof(f3325,plain,
( op2(e22,e21) != h3(e12)
| spl38_78
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3324,f1246]) ).
fof(f3324,plain,
( op2(e22,e21) != h3(op1(e13,e11))
| spl38_78
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3323,f228]) ).
fof(f3323,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl38_78
| ~ spl38_157 ),
inference(forward_demodulation,[],[f921,f2954]) ).
fof(f921,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl38_78 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl38_78
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_78])]) ).
fof(f3317,plain,
spl38_58,
inference(avatar_contradiction_clause,[],[f3316]) ).
fof(f3316,plain,
( $false
| spl38_58 ),
inference(subsumption_resolution,[],[f845,f236]) ).
fof(f236,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f845,plain,
( e23 != h4(e13)
| spl38_58 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f844,plain,
( spl38_58
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_58])]) ).
fof(f3312,plain,
( spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_154
| ~ spl38_157
| ~ spl38_181 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
fof(f3311,plain,
( $false
| spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_154
| ~ spl38_157
| ~ spl38_181 ),
inference(subsumption_resolution,[],[f3310,f1342]) ).
fof(f3310,plain,
( e22 != op2(e22,e20)
| spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_181 ),
inference(forward_demodulation,[],[f3309,f228]) ).
fof(f3309,plain,
( op2(e22,e20) != h3(e13)
| spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_181 ),
inference(forward_demodulation,[],[f3308,f1516]) ).
fof(f1516,plain,
( e13 = op1(e13,e10)
| ~ spl38_181 ),
inference(avatar_component_clause,[],[f1515]) ).
fof(f1515,plain,
( spl38_181
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_181])]) ).
fof(f3308,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3307,f228]) ).
fof(f3307,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl38_77
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f918,f2999]) ).
fof(f2999,plain,
( e20 = h3(e10)
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f2997,f1300]) ).
fof(f2997,plain,
( op2(e23,e22) = h3(e10)
| ~ spl38_149
| ~ spl38_157 ),
inference(backward_demodulation,[],[f1157,f2996]) ).
fof(f918,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl38_77 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl38_77
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_77])]) ).
fof(f3297,plain,
spl38_59,
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3296,plain,
( $false
| spl38_59 ),
inference(subsumption_resolution,[],[f849,f1208]) ).
fof(f849,plain,
( e22 != h4(e12)
| spl38_59 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f848,plain,
( spl38_59
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_59])]) ).
fof(f3293,plain,
( spl38_74
| ~ spl38_149
| ~ spl38_157
| ~ spl38_192 ),
inference(avatar_contradiction_clause,[],[f3292]) ).
fof(f3292,plain,
( $false
| spl38_74
| ~ spl38_149
| ~ spl38_157
| ~ spl38_192 ),
inference(subsumption_resolution,[],[f3291,f1222]) ).
fof(f3291,plain,
( e22 != op2(e23,e21)
| spl38_74
| ~ spl38_149
| ~ spl38_157
| ~ spl38_192 ),
inference(forward_demodulation,[],[f3290,f228]) ).
fof(f3290,plain,
( op2(e23,e21) != h3(e13)
| spl38_74
| ~ spl38_149
| ~ spl38_157
| ~ spl38_192 ),
inference(forward_demodulation,[],[f3289,f1561]) ).
fof(f1561,plain,
( e13 = op1(e12,e11)
| ~ spl38_192 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl38_192
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_192])]) ).
fof(f3289,plain,
( op2(e23,e21) != h3(op1(e12,e11))
| spl38_74
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3288,f2996]) ).
fof(f3288,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl38_74
| ~ spl38_157 ),
inference(forward_demodulation,[],[f909,f2954]) ).
fof(f909,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl38_74 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f908,plain,
( spl38_74
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_74])]) ).
fof(f3276,plain,
spl38_56,
inference(avatar_contradiction_clause,[],[f3275]) ).
fof(f3275,plain,
( $false
| spl38_56 ),
inference(subsumption_resolution,[],[f3274,f337]) ).
fof(f3274,plain,
( e21 != op2(e23,e23)
| spl38_56 ),
inference(forward_demodulation,[],[f3273,f1216]) ).
fof(f3273,plain,
( op2(e23,e23) != h4(e11)
| spl38_56 ),
inference(forward_demodulation,[],[f3272,f340]) ).
fof(f3272,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl38_56 ),
inference(forward_demodulation,[],[f837,f236]) ).
fof(f837,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| spl38_56 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f836,plain,
( spl38_56
<=> h4(op1(e13,e13)) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_56])]) ).
fof(f3271,plain,
( spl38_72
| ~ spl38_147
| ~ spl38_149
| ~ spl38_157
| ~ spl38_184 ),
inference(avatar_contradiction_clause,[],[f3270]) ).
fof(f3270,plain,
( $false
| spl38_72
| ~ spl38_147
| ~ spl38_149
| ~ spl38_157
| ~ spl38_184 ),
inference(subsumption_resolution,[],[f3269,f1311]) ).
fof(f3269,plain,
( e23 != op2(e21,e22)
| spl38_72
| ~ spl38_149
| ~ spl38_157
| ~ spl38_184 ),
inference(forward_demodulation,[],[f3268,f2996]) ).
fof(f3268,plain,
( op2(e21,e22) != h3(e12)
| spl38_72
| ~ spl38_157
| ~ spl38_184 ),
inference(forward_demodulation,[],[f3267,f1530]) ).
fof(f3267,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| spl38_72
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3266,f2954]) ).
fof(f3266,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| spl38_72 ),
inference(forward_demodulation,[],[f903,f228]) ).
fof(f903,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl38_72 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f902,plain,
( spl38_72
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_72])]) ).
fof(f3253,plain,
( spl38_55
| ~ spl38_144
| ~ spl38_186 ),
inference(avatar_contradiction_clause,[],[f3252]) ).
fof(f3252,plain,
( $false
| spl38_55
| ~ spl38_144
| ~ spl38_186 ),
inference(subsumption_resolution,[],[f3251,f1300]) ).
fof(f3251,plain,
( e20 != op2(e23,e22)
| spl38_55
| ~ spl38_186 ),
inference(forward_demodulation,[],[f3250,f1233]) ).
fof(f3250,plain,
( op2(e23,e22) != h4(e10)
| spl38_55
| ~ spl38_186 ),
inference(forward_demodulation,[],[f3249,f1539]) ).
fof(f1539,plain,
( e10 = op1(e13,e12)
| ~ spl38_186 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1538,plain,
( spl38_186
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_186])]) ).
fof(f3249,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| spl38_55 ),
inference(forward_demodulation,[],[f3248,f236]) ).
fof(f3248,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e22)
| spl38_55 ),
inference(forward_demodulation,[],[f834,f1208]) ).
fof(f834,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl38_55 ),
inference(avatar_component_clause,[],[f833]) ).
fof(f833,plain,
( spl38_55
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_55])]) ).
fof(f3247,plain,
( spl38_80
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3246]) ).
fof(f3246,plain,
( $false
| spl38_80
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f3245,f1353]) ).
fof(f3245,plain,
( e21 != op2(e22,e22)
| spl38_80
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3244,f2954]) ).
fof(f3244,plain,
( op2(e22,e22) != h3(e11)
| spl38_80 ),
inference(forward_demodulation,[],[f3243,f340]) ).
fof(f3243,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| spl38_80 ),
inference(forward_demodulation,[],[f927,f228]) ).
fof(f927,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl38_80 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl38_80
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_80])]) ).
fof(f3230,plain,
spl38_54,
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3229,plain,
( $false
| spl38_54 ),
inference(subsumption_resolution,[],[f3228,f1222]) ).
fof(f3228,plain,
( e22 != op2(e23,e21)
| spl38_54 ),
inference(forward_demodulation,[],[f3227,f1208]) ).
fof(f3227,plain,
( op2(e23,e21) != h4(e12)
| spl38_54 ),
inference(forward_demodulation,[],[f3226,f1246]) ).
fof(f3226,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| spl38_54 ),
inference(forward_demodulation,[],[f3225,f236]) ).
fof(f3225,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| spl38_54 ),
inference(forward_demodulation,[],[f831,f1216]) ).
fof(f831,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl38_54 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f830,plain,
( spl38_54
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_54])]) ).
fof(f3224,plain,
( spl38_76
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3223]) ).
fof(f3223,plain,
( $false
| spl38_76
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f3222,f1300]) ).
fof(f3222,plain,
( e20 != op2(e23,e22)
| spl38_76
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3221,f2999]) ).
fof(f3221,plain,
( op2(e23,e22) != h3(e10)
| spl38_76
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3220,f1253]) ).
fof(f3220,plain,
( op2(e23,e22) != h3(op1(e12,e13))
| spl38_76
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3219,f2996]) ).
fof(f3219,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| spl38_76 ),
inference(forward_demodulation,[],[f915,f228]) ).
fof(f915,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl38_76 ),
inference(avatar_component_clause,[],[f914]) ).
fof(f914,plain,
( spl38_76
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_76])]) ).
fof(f3206,plain,
( spl38_53
| ~ spl38_139
| ~ spl38_181 ),
inference(avatar_contradiction_clause,[],[f3205]) ).
fof(f3205,plain,
( $false
| spl38_53
| ~ spl38_139
| ~ spl38_181 ),
inference(subsumption_resolution,[],[f3204,f1277]) ).
fof(f1277,plain,
( e23 = op2(e23,e20)
| ~ spl38_139 ),
inference(avatar_component_clause,[],[f1276]) ).
fof(f1276,plain,
( spl38_139
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_139])]) ).
fof(f3204,plain,
( e23 != op2(e23,e20)
| spl38_53
| ~ spl38_181 ),
inference(forward_demodulation,[],[f3203,f236]) ).
fof(f3203,plain,
( op2(e23,e20) != h4(e13)
| spl38_53
| ~ spl38_181 ),
inference(forward_demodulation,[],[f3202,f1516]) ).
fof(f3202,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| spl38_53 ),
inference(forward_demodulation,[],[f3201,f236]) ).
fof(f3201,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| spl38_53 ),
inference(forward_demodulation,[],[f828,f1233]) ).
fof(f828,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl38_53 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f827,plain,
( spl38_53
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_53])]) ).
fof(f3200,plain,
( spl38_75
| ~ spl38_149
| ~ spl38_157
| ~ spl38_199 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| spl38_75
| ~ spl38_149
| ~ spl38_157
| ~ spl38_199 ),
inference(subsumption_resolution,[],[f3198,f337]) ).
fof(f3198,plain,
( e21 != op2(e23,e23)
| spl38_75
| ~ spl38_149
| ~ spl38_157
| ~ spl38_199 ),
inference(forward_demodulation,[],[f3197,f2954]) ).
fof(f3197,plain,
( op2(e23,e23) != h3(e11)
| spl38_75
| ~ spl38_149
| ~ spl38_157
| ~ spl38_199 ),
inference(forward_demodulation,[],[f3196,f1590]) ).
fof(f3196,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| spl38_75
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f912,f2996]) ).
fof(f912,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl38_75 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f911,plain,
( spl38_75
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_75])]) ).
fof(f3183,plain,
spl38_52,
inference(avatar_contradiction_clause,[],[f3182]) ).
fof(f3182,plain,
( $false
| spl38_52 ),
inference(subsumption_resolution,[],[f3181,f1232]) ).
fof(f3181,plain,
( e20 != op2(e22,e23)
| spl38_52 ),
inference(forward_demodulation,[],[f3180,f1233]) ).
fof(f3180,plain,
( op2(e22,e23) != h4(e10)
| spl38_52 ),
inference(forward_demodulation,[],[f3179,f1253]) ).
fof(f3179,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| spl38_52 ),
inference(forward_demodulation,[],[f3178,f1208]) ).
fof(f3178,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl38_52 ),
inference(forward_demodulation,[],[f825,f236]) ).
fof(f825,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl38_52 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl38_52
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_52])]) ).
fof(f3177,plain,
( spl38_71
| ~ spl38_142
| ~ spl38_149
| ~ spl38_157
| ~ spl38_189 ),
inference(avatar_contradiction_clause,[],[f3176]) ).
fof(f3176,plain,
( $false
| spl38_71
| ~ spl38_142
| ~ spl38_149
| ~ spl38_157
| ~ spl38_189 ),
inference(subsumption_resolution,[],[f3175,f1291]) ).
fof(f1291,plain,
( e22 = op2(e21,e23)
| ~ spl38_142 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1290,plain,
( spl38_142
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_142])]) ).
fof(f3175,plain,
( e22 != op2(e21,e23)
| spl38_71
| ~ spl38_149
| ~ spl38_157
| ~ spl38_189 ),
inference(forward_demodulation,[],[f3174,f228]) ).
fof(f3174,plain,
( op2(e21,e23) != h3(e13)
| spl38_71
| ~ spl38_149
| ~ spl38_157
| ~ spl38_189 ),
inference(forward_demodulation,[],[f3173,f1549]) ).
fof(f3173,plain,
( op2(e21,e23) != h3(op1(e11,e12))
| spl38_71
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3172,f2954]) ).
fof(f3172,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| spl38_71
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f900,f2996]) ).
fof(f900,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl38_71 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl38_71
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_71])]) ).
fof(f3159,plain,
( spl38_51
| ~ spl38_157
| ~ spl38_199 ),
inference(avatar_contradiction_clause,[],[f3158]) ).
fof(f3158,plain,
( $false
| spl38_51
| ~ spl38_157
| ~ spl38_199 ),
inference(subsumption_resolution,[],[f3157,f1353]) ).
fof(f3157,plain,
( e21 != op2(e22,e22)
| spl38_51
| ~ spl38_199 ),
inference(forward_demodulation,[],[f3156,f1216]) ).
fof(f3156,plain,
( op2(e22,e22) != h4(e11)
| spl38_51
| ~ spl38_199 ),
inference(forward_demodulation,[],[f3155,f1590]) ).
fof(f3155,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl38_51 ),
inference(forward_demodulation,[],[f822,f1208]) ).
fof(f822,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl38_51 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl38_51
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_51])]) ).
fof(f3154,plain,
( spl38_70
| ~ spl38_157
| ~ spl38_172
| ~ spl38_209 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
fof(f3153,plain,
( $false
| spl38_70
| ~ spl38_157
| ~ spl38_172
| ~ spl38_209 ),
inference(subsumption_resolution,[],[f3152,f1471]) ).
fof(f1471,plain,
( e21 = op2(e21,e21)
| ~ spl38_172 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1470,plain,
( spl38_172
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_172])]) ).
fof(f3152,plain,
( e21 != op2(e21,e21)
| spl38_70
| ~ spl38_157
| ~ spl38_209 ),
inference(forward_demodulation,[],[f3151,f2954]) ).
fof(f3151,plain,
( op2(e21,e21) != h3(e11)
| spl38_70
| ~ spl38_157
| ~ spl38_209 ),
inference(forward_demodulation,[],[f3150,f1633]) ).
fof(f1633,plain,
( e11 = op1(e11,e11)
| ~ spl38_209 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1632,plain,
( spl38_209
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_209])]) ).
fof(f3150,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl38_70
| ~ spl38_157 ),
inference(forward_demodulation,[],[f897,f2954]) ).
fof(f897,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl38_70 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl38_70
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_70])]) ).
fof(f3138,plain,
( spl38_50
| ~ spl38_149
| ~ spl38_192 ),
inference(avatar_contradiction_clause,[],[f3137]) ).
fof(f3137,plain,
( $false
| spl38_50
| ~ spl38_149
| ~ spl38_192 ),
inference(subsumption_resolution,[],[f3136,f1321]) ).
fof(f3136,plain,
( e23 != op2(e22,e21)
| spl38_50
| ~ spl38_192 ),
inference(forward_demodulation,[],[f3135,f236]) ).
fof(f3135,plain,
( op2(e22,e21) != h4(e13)
| spl38_50
| ~ spl38_192 ),
inference(forward_demodulation,[],[f3134,f1561]) ).
fof(f3134,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| spl38_50 ),
inference(forward_demodulation,[],[f3133,f1208]) ).
fof(f3133,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl38_50 ),
inference(forward_demodulation,[],[f819,f1216]) ).
fof(f819,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl38_50 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl38_50
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_50])]) ).
fof(f3132,plain,
( spl38_68
| ~ spl38_144
| ~ spl38_149
| ~ spl38_151
| ~ spl38_157
| ~ spl38_179 ),
inference(avatar_contradiction_clause,[],[f3131]) ).
fof(f3131,plain,
( $false
| spl38_68
| ~ spl38_144
| ~ spl38_149
| ~ spl38_151
| ~ spl38_157
| ~ spl38_179 ),
inference(subsumption_resolution,[],[f3130,f1329]) ).
fof(f3130,plain,
( e22 != op2(e20,e22)
| spl38_68
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_179 ),
inference(forward_demodulation,[],[f3129,f228]) ).
fof(f3129,plain,
( op2(e20,e22) != h3(e13)
| spl38_68
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_179 ),
inference(forward_demodulation,[],[f3128,f1505]) ).
fof(f3128,plain,
( op2(e20,e22) != h3(op1(e10,e13))
| spl38_68
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3127,f2999]) ).
fof(f3127,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| spl38_68 ),
inference(forward_demodulation,[],[f891,f228]) ).
fof(f891,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl38_68 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl38_68
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_68])]) ).
fof(f3115,plain,
( spl38_49
| ~ spl38_154
| ~ spl38_196 ),
inference(avatar_contradiction_clause,[],[f3114]) ).
fof(f3114,plain,
( $false
| spl38_49
| ~ spl38_154
| ~ spl38_196 ),
inference(subsumption_resolution,[],[f3113,f1342]) ).
fof(f3113,plain,
( e22 != op2(e22,e20)
| spl38_49
| ~ spl38_196 ),
inference(forward_demodulation,[],[f3112,f1208]) ).
fof(f3112,plain,
( op2(e22,e20) != h4(e12)
| spl38_49
| ~ spl38_196 ),
inference(forward_demodulation,[],[f3111,f1579]) ).
fof(f1579,plain,
( e12 = op1(e12,e10)
| ~ spl38_196 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f1578,plain,
( spl38_196
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_196])]) ).
fof(f3111,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| spl38_49 ),
inference(forward_demodulation,[],[f3110,f1208]) ).
fof(f3110,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl38_49 ),
inference(forward_demodulation,[],[f816,f1233]) ).
fof(f816,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl38_49 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl38_49
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_49])]) ).
fof(f3109,plain,
( spl38_67
| ~ spl38_137
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_193 ),
inference(avatar_contradiction_clause,[],[f3108]) ).
fof(f3108,plain,
( $false
| spl38_67
| ~ spl38_137
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_193 ),
inference(subsumption_resolution,[],[f3107,f1266]) ).
fof(f1266,plain,
( e23 = op2(e20,e23)
| ~ spl38_137 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl38_137
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_137])]) ).
fof(f3107,plain,
( e23 != op2(e20,e23)
| spl38_67
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_193 ),
inference(forward_demodulation,[],[f3106,f2996]) ).
fof(f3106,plain,
( op2(e20,e23) != h3(e12)
| spl38_67
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_193 ),
inference(forward_demodulation,[],[f3105,f1566]) ).
fof(f3105,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| spl38_67
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3104,f2999]) ).
fof(f3104,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| spl38_67
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f888,f2996]) ).
fof(f888,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl38_67 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f887,plain,
( spl38_67
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_67])]) ).
fof(f3091,plain,
( spl38_48
| ~ spl38_142
| ~ spl38_184 ),
inference(avatar_contradiction_clause,[],[f3090]) ).
fof(f3090,plain,
( $false
| spl38_48
| ~ spl38_142
| ~ spl38_184 ),
inference(subsumption_resolution,[],[f3089,f1291]) ).
fof(f3089,plain,
( e22 != op2(e21,e23)
| spl38_48
| ~ spl38_184 ),
inference(forward_demodulation,[],[f3088,f1208]) ).
fof(f3088,plain,
( op2(e21,e23) != h4(e12)
| spl38_48
| ~ spl38_184 ),
inference(forward_demodulation,[],[f3087,f1530]) ).
fof(f3087,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| spl38_48 ),
inference(forward_demodulation,[],[f3086,f1216]) ).
fof(f3086,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl38_48 ),
inference(forward_demodulation,[],[f813,f236]) ).
fof(f813,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl38_48 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl38_48
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_48])]) ).
fof(f3085,plain,
( spl38_65
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_176
| ~ spl38_217 ),
inference(avatar_contradiction_clause,[],[f3084]) ).
fof(f3084,plain,
( $false
| spl38_65
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_176
| ~ spl38_217 ),
inference(subsumption_resolution,[],[f3083,f1491]) ).
fof(f1491,plain,
( op2(e20,e20) = e21
| ~ spl38_176 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1490,plain,
( spl38_176
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_176])]) ).
fof(f3083,plain,
( op2(e20,e20) != e21
| spl38_65
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_217 ),
inference(forward_demodulation,[],[f3082,f2954]) ).
fof(f3082,plain,
( op2(e20,e20) != h3(e11)
| spl38_65
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_217 ),
inference(forward_demodulation,[],[f3081,f1671]) ).
fof(f3081,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl38_65
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f882,f2999]) ).
fof(f882,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl38_65 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f881,plain,
( spl38_65
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_65])]) ).
fof(f3068,plain,
( spl38_46
| ~ spl38_172
| ~ spl38_209 ),
inference(avatar_contradiction_clause,[],[f3067]) ).
fof(f3067,plain,
( $false
| spl38_46
| ~ spl38_172
| ~ spl38_209 ),
inference(subsumption_resolution,[],[f3066,f1471]) ).
fof(f3066,plain,
( e21 != op2(e21,e21)
| spl38_46
| ~ spl38_209 ),
inference(forward_demodulation,[],[f3065,f1216]) ).
fof(f3065,plain,
( op2(e21,e21) != h4(e11)
| spl38_46
| ~ spl38_209 ),
inference(forward_demodulation,[],[f3064,f1633]) ).
fof(f3064,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| spl38_46 ),
inference(forward_demodulation,[],[f807,f1216]) ).
fof(f807,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl38_46 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f806,plain,
( spl38_46
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_46])]) ).
fof(f3063,plain,
( spl38_79
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_186 ),
inference(avatar_contradiction_clause,[],[f3062]) ).
fof(f3062,plain,
( $false
| spl38_79
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_186 ),
inference(subsumption_resolution,[],[f3061,f1232]) ).
fof(f3061,plain,
( e20 != op2(e22,e23)
| spl38_79
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_186 ),
inference(forward_demodulation,[],[f3060,f2999]) ).
fof(f3060,plain,
( op2(e22,e23) != h3(e10)
| spl38_79
| ~ spl38_149
| ~ spl38_157
| ~ spl38_186 ),
inference(forward_demodulation,[],[f3059,f1539]) ).
fof(f3059,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| spl38_79
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f3058,f228]) ).
fof(f3058,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e23)
| spl38_79
| ~ spl38_149
| ~ spl38_157 ),
inference(forward_demodulation,[],[f924,f2996]) ).
fof(f924,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl38_79 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f923,plain,
( spl38_79
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_79])]) ).
fof(f3046,plain,
( spl38_47
| ~ spl38_147
| ~ spl38_189 ),
inference(avatar_contradiction_clause,[],[f3045]) ).
fof(f3045,plain,
( $false
| spl38_47
| ~ spl38_147
| ~ spl38_189 ),
inference(subsumption_resolution,[],[f3044,f1311]) ).
fof(f3044,plain,
( e23 != op2(e21,e22)
| spl38_47
| ~ spl38_189 ),
inference(forward_demodulation,[],[f3043,f236]) ).
fof(f3043,plain,
( op2(e21,e22) != h4(e13)
| spl38_47
| ~ spl38_189 ),
inference(forward_demodulation,[],[f3042,f1549]) ).
fof(f3042,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| spl38_47 ),
inference(forward_demodulation,[],[f3041,f1216]) ).
fof(f3041,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| spl38_47 ),
inference(forward_demodulation,[],[f810,f1208]) ).
fof(f810,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl38_47 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f809,plain,
( spl38_47
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_47])]) ).
fof(f3028,plain,
( spl38_73
| ~ spl38_139
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_196 ),
inference(avatar_contradiction_clause,[],[f3027]) ).
fof(f3027,plain,
( $false
| spl38_73
| ~ spl38_139
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_196 ),
inference(subsumption_resolution,[],[f3024,f1277]) ).
fof(f3024,plain,
( e23 != op2(e23,e20)
| spl38_73
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157
| ~ spl38_196 ),
inference(backward_demodulation,[],[f2998,f2999]) ).
fof(f2998,plain,
( e23 != op2(e23,h3(e10))
| spl38_73
| ~ spl38_149
| ~ spl38_157
| ~ spl38_196 ),
inference(backward_demodulation,[],[f2876,f2996]) ).
fof(f2876,plain,
( h3(e12) != op2(h3(e12),h3(e10))
| spl38_73
| ~ spl38_196 ),
inference(forward_demodulation,[],[f906,f1579]) ).
fof(f906,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl38_73 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f905,plain,
( spl38_73
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_73])]) ).
fof(f3017,plain,
( spl38_44
| ~ spl38_137
| ~ spl38_179 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| spl38_44
| ~ spl38_137
| ~ spl38_179 ),
inference(subsumption_resolution,[],[f3015,f1266]) ).
fof(f3015,plain,
( e23 != op2(e20,e23)
| spl38_44
| ~ spl38_179 ),
inference(forward_demodulation,[],[f3014,f236]) ).
fof(f3014,plain,
( op2(e20,e23) != h4(e13)
| spl38_44
| ~ spl38_179 ),
inference(forward_demodulation,[],[f3013,f1505]) ).
fof(f3013,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl38_44 ),
inference(forward_demodulation,[],[f3012,f1233]) ).
fof(f3012,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl38_44 ),
inference(forward_demodulation,[],[f801,f236]) ).
fof(f801,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl38_44 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f800,plain,
( spl38_44
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_44])]) ).
fof(f3002,plain,
( spl38_38
| ~ spl38_34
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f2948,f1408,f764,f779]) ).
fof(f779,plain,
( spl38_38
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_38])]) ).
fof(f764,plain,
( spl38_34
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_34])]) ).
fof(f2948,plain,
( e20 = h1(e12)
| ~ spl38_34
| ~ spl38_167 ),
inference(backward_demodulation,[],[f2943,f1409]) ).
fof(f2943,plain,
( op2(e20,e21) = h1(e12)
| ~ spl38_34 ),
inference(backward_demodulation,[],[f1150,f1435]) ).
fof(f1435,plain,
( e21 = h1(e11)
| ~ spl38_34 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f1150,plain,
h1(e12) = op2(e20,h1(e11)),
inference(backward_demodulation,[],[f227,f226]) ).
fof(f226,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,op2(e20,e20)) = h1(e12)
& op2(e20,e20) = h1(e11)
& h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f227,plain,
op2(e20,op2(e20,e20)) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f3001,plain,
( spl38_20
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| spl38_20
| ~ spl38_144
| ~ spl38_149
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f2999,f712]) ).
fof(f712,plain,
( e20 != h3(e10)
| spl38_20 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f711,plain,
( spl38_20
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_20])]) ).
fof(f2992,plain,
( spl38_43
| ~ spl38_151
| ~ spl38_193 ),
inference(avatar_contradiction_clause,[],[f2991]) ).
fof(f2991,plain,
( $false
| spl38_43
| ~ spl38_151
| ~ spl38_193 ),
inference(subsumption_resolution,[],[f2990,f1329]) ).
fof(f2990,plain,
( e22 != op2(e20,e22)
| spl38_43
| ~ spl38_193 ),
inference(forward_demodulation,[],[f2989,f1208]) ).
fof(f2989,plain,
( op2(e20,e22) != h4(e12)
| spl38_43
| ~ spl38_193 ),
inference(forward_demodulation,[],[f2988,f1566]) ).
fof(f2988,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| spl38_43 ),
inference(forward_demodulation,[],[f2987,f1233]) ).
fof(f2987,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| spl38_43 ),
inference(forward_demodulation,[],[f798,f1208]) ).
fof(f798,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl38_43 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f797,plain,
( spl38_43
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_43])]) ).
fof(f2960,plain,
( ~ spl38_190
| ~ spl38_192 ),
inference(avatar_split_clause,[],[f2959,f1560,f1551]) ).
fof(f1551,plain,
( spl38_190
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_190])]) ).
fof(f2959,plain,
( e13 != op1(e12,e12)
| ~ spl38_192 ),
inference(forward_demodulation,[],[f279,f1561]) ).
fof(f279,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2956,plain,
( spl38_14
| ~ spl38_157 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2955,plain,
( $false
| spl38_14
| ~ spl38_157 ),
inference(subsumption_resolution,[],[f2954,f689]) ).
fof(f689,plain,
( e21 != h3(e11)
| spl38_14 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl38_14
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_14])]) ).
fof(f2921,plain,
( spl38_42
| ~ spl38_167
| ~ spl38_211 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| spl38_42
| ~ spl38_167
| ~ spl38_211 ),
inference(subsumption_resolution,[],[f1409,f2869]) ).
fof(f2869,plain,
( e20 != op2(e20,e21)
| spl38_42
| ~ spl38_211 ),
inference(forward_demodulation,[],[f2868,f1233]) ).
fof(f2868,plain,
( op2(e20,e21) != h4(e10)
| spl38_42
| ~ spl38_211 ),
inference(forward_demodulation,[],[f2867,f1643]) ).
fof(f2867,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| spl38_42 ),
inference(forward_demodulation,[],[f2866,f1233]) ).
fof(f2866,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| spl38_42 ),
inference(forward_demodulation,[],[f795,f1216]) ).
fof(f795,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl38_42 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl38_42
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_42])]) ).
fof(f2911,plain,
( ~ spl38_189
| ~ spl38_198 ),
inference(avatar_contradiction_clause,[],[f2910]) ).
fof(f2910,plain,
( $false
| ~ spl38_189
| ~ spl38_198 ),
inference(subsumption_resolution,[],[f2909,f222]) ).
fof(f2909,plain,
( e11 = e13
| ~ spl38_189
| ~ spl38_198 ),
inference(forward_demodulation,[],[f1549,f1587]) ).
fof(f2906,plain,
( ~ spl38_198
| ~ spl38_199 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
fof(f2905,plain,
( $false
| ~ spl38_198
| ~ spl38_199 ),
inference(subsumption_resolution,[],[f1590,f2705]) ).
fof(f2705,plain,
( e11 != op1(e12,e12)
| ~ spl38_198 ),
inference(backward_demodulation,[],[f255,f1587]) ).
fof(f255,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2904,plain,
( ~ spl38_198
| ~ spl38_209 ),
inference(avatar_contradiction_clause,[],[f2903]) ).
fof(f2903,plain,
( $false
| ~ spl38_198
| ~ spl38_209 ),
inference(subsumption_resolution,[],[f1633,f2704]) ).
fof(f2704,plain,
( e11 != op1(e11,e11)
| ~ spl38_198 ),
inference(backward_demodulation,[],[f273,f1587]) ).
fof(f273,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2881,plain,
( spl38_84
| ~ spl38_153 ),
inference(avatar_split_clause,[],[f2880,f1334,f942]) ).
fof(f942,plain,
( spl38_84
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_84])]) ).
fof(f1334,plain,
( spl38_153
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_153])]) ).
fof(f2880,plain,
( e22 = h3(e11)
| ~ spl38_153 ),
inference(forward_demodulation,[],[f230,f1335]) ).
fof(f1335,plain,
( e22 = op2(e22,e22)
| ~ spl38_153 ),
inference(avatar_component_clause,[],[f1334]) ).
fof(f2855,plain,
( ~ spl38_155
| ~ spl38_156 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2854,plain,
( $false
| ~ spl38_155
| ~ spl38_156 ),
inference(subsumption_resolution,[],[f1350,f2797]) ).
fof(f2797,plain,
( e21 != op2(e21,e22)
| ~ spl38_155 ),
inference(backward_demodulation,[],[f300,f1347]) ).
fof(f1347,plain,
( e21 = op2(e20,e22)
| ~ spl38_155 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl38_155
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_155])]) ).
fof(f300,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2850,plain,
( ~ spl38_144
| ~ spl38_160 ),
inference(avatar_contradiction_clause,[],[f2849]) ).
fof(f2849,plain,
( $false
| ~ spl38_144
| ~ spl38_160 ),
inference(subsumption_resolution,[],[f1367,f2561]) ).
fof(f2561,plain,
( e20 != op2(e20,e22)
| ~ spl38_144 ),
inference(forward_demodulation,[],[f302,f1300]) ).
fof(f302,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2848,plain,
~ spl38_168,
inference(avatar_contradiction_clause,[],[f2847]) ).
fof(f2847,plain,
( $false
| ~ spl38_168 ),
inference(subsumption_resolution,[],[f2845,f197]) ).
fof(f2845,plain,
( e20 = e22
| ~ spl38_168 ),
inference(backward_demodulation,[],[f1222,f1412]) ).
fof(f1412,plain,
( e20 = op2(e23,e21)
| ~ spl38_168 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1411,plain,
( spl38_168
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_168])]) ).
fof(f2840,plain,
( ~ spl38_201
| ~ spl38_259 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2839,plain,
( $false
| ~ spl38_201
| ~ spl38_259 ),
inference(subsumption_resolution,[],[f2838,f221]) ).
fof(f2838,plain,
( e11 = e12
| ~ spl38_201
| ~ spl38_259 ),
inference(forward_demodulation,[],[f2837,f1599]) ).
fof(f1599,plain,
( e11 = op1(e12,e11)
| ~ spl38_201 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl38_201
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_201])]) ).
fof(f2837,plain,
( e12 = op1(e12,e11)
| ~ spl38_201
| ~ spl38_259 ),
inference(forward_demodulation,[],[f2140,f1599]) ).
fof(f2140,plain,
( e12 = op1(e12,op1(e12,e11))
| ~ spl38_259 ),
inference(avatar_component_clause,[],[f2139]) ).
fof(f2139,plain,
( spl38_259
<=> e12 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_259])]) ).
fof(f2833,plain,
( spl38_108
| ~ spl38_173 ),
inference(avatar_contradiction_clause,[],[f2832]) ).
fof(f2832,plain,
( $false
| spl38_108
| ~ spl38_173 ),
inference(subsumption_resolution,[],[f2831,f1033]) ).
fof(f1033,plain,
( e22 != h2(e11)
| spl38_108 ),
inference(avatar_component_clause,[],[f1032]) ).
fof(f1032,plain,
( spl38_108
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_108])]) ).
fof(f2831,plain,
( e22 = h2(e11)
| ~ spl38_173 ),
inference(backward_demodulation,[],[f234,f1474]) ).
fof(f1474,plain,
( e22 = op2(e21,e21)
| ~ spl38_173 ),
inference(avatar_component_clause,[],[f1473]) ).
fof(f1473,plain,
( spl38_173
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_173])]) ).
fof(f2816,plain,
( spl38_45
| ~ spl38_169
| ~ spl38_214 ),
inference(avatar_contradiction_clause,[],[f2815]) ).
fof(f2815,plain,
( $false
| spl38_45
| ~ spl38_169
| ~ spl38_214 ),
inference(subsumption_resolution,[],[f2814,f1419]) ).
fof(f2814,plain,
( e20 != op2(e21,e20)
| spl38_45
| ~ spl38_214 ),
inference(forward_demodulation,[],[f2813,f1233]) ).
fof(f2813,plain,
( op2(e21,e20) != h4(e10)
| spl38_45
| ~ spl38_214 ),
inference(forward_demodulation,[],[f2812,f1654]) ).
fof(f2812,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| spl38_45 ),
inference(forward_demodulation,[],[f2811,f1216]) ).
fof(f2811,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl38_45 ),
inference(forward_demodulation,[],[f804,f1233]) ).
fof(f804,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl38_45 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f803,plain,
( spl38_45
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_45])]) ).
fof(f2801,plain,
( ~ spl38_143
| ~ spl38_169 ),
inference(avatar_contradiction_clause,[],[f2800]) ).
fof(f2800,plain,
( $false
| ~ spl38_143
| ~ spl38_169 ),
inference(subsumption_resolution,[],[f1297,f2765]) ).
fof(f2765,plain,
( e20 != op2(e23,e20)
| ~ spl38_169 ),
inference(forward_demodulation,[],[f292,f1419]) ).
fof(f292,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1297,plain,
( e20 = op2(e23,e20)
| ~ spl38_143 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl38_143
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_143])]) ).
fof(f2796,plain,
( ~ spl38_165
| ~ spl38_167 ),
inference(avatar_contradiction_clause,[],[f2795]) ).
fof(f2795,plain,
( $false
| ~ spl38_165
| ~ spl38_167 ),
inference(subsumption_resolution,[],[f2794,f196]) ).
fof(f196,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f2794,plain,
( e20 = e21
| ~ spl38_165
| ~ spl38_167 ),
inference(forward_demodulation,[],[f1396,f1409]) ).
fof(f1396,plain,
( e21 = op2(e20,e21)
| ~ spl38_165 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1395,plain,
( spl38_165
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_165])]) ).
fof(f2793,plain,
( ~ spl38_166
| ~ spl38_169 ),
inference(avatar_contradiction_clause,[],[f2792]) ).
fof(f2792,plain,
( $false
| ~ spl38_166
| ~ spl38_169 ),
inference(subsumption_resolution,[],[f2791,f196]) ).
fof(f2791,plain,
( e20 = e21
| ~ spl38_166
| ~ spl38_169 ),
inference(forward_demodulation,[],[f1403,f1419]) ).
fof(f2786,plain,
( ~ spl38_205
| ~ spl38_258 ),
inference(avatar_contradiction_clause,[],[f2785]) ).
fof(f2785,plain,
( $false
| ~ spl38_205
| ~ spl38_258 ),
inference(subsumption_resolution,[],[f2784,f1241]) ).
fof(f1241,plain,
e11 != op1(e11,e13),
inference(backward_demodulation,[],[f262,f340]) ).
fof(f262,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2784,plain,
( e11 = op1(e11,e13)
| ~ spl38_205
| ~ spl38_258 ),
inference(backward_demodulation,[],[f2137,f1616]) ).
fof(f1616,plain,
( e13 = op1(e11,e11)
| ~ spl38_205 ),
inference(avatar_component_clause,[],[f1615]) ).
fof(f1615,plain,
( spl38_205
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_205])]) ).
fof(f2137,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl38_258 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2136,plain,
( spl38_258
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_258])]) ).
fof(f2782,plain,
( spl38_156
| ~ spl38_142
| ~ spl38_231 ),
inference(avatar_split_clause,[],[f2781,f1913,f1290,f1349]) ).
fof(f1913,plain,
( spl38_231
<=> e21 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_231])]) ).
fof(f2781,plain,
( e21 = op2(e21,e22)
| ~ spl38_142
| ~ spl38_231 ),
inference(forward_demodulation,[],[f1914,f1291]) ).
fof(f1914,plain,
( e21 = op2(e21,op2(e21,e23))
| ~ spl38_231 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f2772,plain,
( ~ spl38_142
| ~ spl38_152 ),
inference(avatar_contradiction_clause,[],[f2771]) ).
fof(f2771,plain,
( $false
| ~ spl38_142
| ~ spl38_152 ),
inference(subsumption_resolution,[],[f1332,f2768]) ).
fof(f2768,plain,
( e22 != op2(e21,e22)
| ~ spl38_142 ),
inference(forward_demodulation,[],[f323,f1291]) ).
fof(f323,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1332,plain,
( e22 = op2(e21,e22)
| ~ spl38_152 ),
inference(avatar_component_clause,[],[f1331]) ).
fof(f1331,plain,
( spl38_152
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_152])]) ).
fof(f2742,plain,
( ~ spl38_23
| ~ spl38_111 ),
inference(avatar_contradiction_clause,[],[f2741]) ).
fof(f2741,plain,
( $false
| ~ spl38_23
| ~ spl38_111 ),
inference(subsumption_resolution,[],[f2740,f1220]) ).
fof(f1220,plain,
e21 != op2(e21,e23),
inference(backward_demodulation,[],[f1193,f1216]) ).
fof(f1193,plain,
op2(e21,e23) != h4(e11),
inference(forward_demodulation,[],[f310,f238]) ).
fof(f310,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2740,plain,
( e21 = op2(e21,e23)
| ~ spl38_23
| ~ spl38_111 ),
inference(backward_demodulation,[],[f2644,f1379]) ).
fof(f1379,plain,
( e23 = h2(e11)
| ~ spl38_111 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f2644,plain,
( e21 = op2(e21,h2(e11))
| ~ spl38_23 ),
inference(forward_demodulation,[],[f1158,f1938]) ).
fof(f1938,plain,
( e21 = h2(e12)
| ~ spl38_23 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl38_23
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_23])]) ).
fof(f1158,plain,
h2(e12) = op2(e21,h2(e11)),
inference(backward_demodulation,[],[f235,f234]) ).
fof(f235,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f2728,plain,
( ~ spl38_179
| ~ spl38_180 ),
inference(avatar_contradiction_clause,[],[f2727]) ).
fof(f2727,plain,
( $false
| ~ spl38_179
| ~ spl38_180 ),
inference(subsumption_resolution,[],[f1508,f2664]) ).
fof(f2664,plain,
( e13 != op1(e11,e13)
| ~ spl38_179 ),
inference(forward_demodulation,[],[f258,f1505]) ).
fof(f258,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1508,plain,
( e13 = op1(e11,e13)
| ~ spl38_180 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl38_180
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_180])]) ).
fof(f2726,plain,
( ~ spl38_179
| ~ spl38_183 ),
inference(avatar_contradiction_clause,[],[f2725]) ).
fof(f2725,plain,
( $false
| ~ spl38_179
| ~ spl38_183 ),
inference(subsumption_resolution,[],[f2724,f223]) ).
fof(f2724,plain,
( e12 = e13
| ~ spl38_179
| ~ spl38_183 ),
inference(backward_demodulation,[],[f1505,f1527]) ).
fof(f2718,plain,
( ~ spl38_179
| ~ spl38_188 ),
inference(avatar_contradiction_clause,[],[f2717]) ).
fof(f2717,plain,
( $false
| ~ spl38_179
| ~ spl38_188 ),
inference(subsumption_resolution,[],[f1546,f2463]) ).
fof(f2463,plain,
( e13 != op1(e10,e12)
| ~ spl38_179 ),
inference(forward_demodulation,[],[f269,f1505]) ).
fof(f2711,plain,
( ~ spl38_194
| ~ spl38_198 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2710,plain,
( $false
| ~ spl38_194
| ~ spl38_198 ),
inference(subsumption_resolution,[],[f2709,f221]) ).
fof(f2709,plain,
( e11 = e12
| ~ spl38_194
| ~ spl38_198 ),
inference(forward_demodulation,[],[f1569,f1587]) ).
fof(f1569,plain,
( e12 = op1(e11,e12)
| ~ spl38_194 ),
inference(avatar_component_clause,[],[f1568]) ).
fof(f1568,plain,
( spl38_194
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_194])]) ).
fof(f2695,plain,
( ~ spl38_137
| ~ spl38_230 ),
inference(avatar_contradiction_clause,[],[f2694]) ).
fof(f2694,plain,
( $false
| ~ spl38_137
| ~ spl38_230 ),
inference(subsumption_resolution,[],[f2693,f1238]) ).
fof(f1238,plain,
e20 != op2(e20,e23),
inference(backward_demodulation,[],[f1210,f1233]) ).
fof(f1210,plain,
op2(e20,e23) != h4(e10),
inference(backward_demodulation,[],[f307,f1209]) ).
fof(f307,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2693,plain,
( e20 = op2(e20,e23)
| ~ spl38_137
| ~ spl38_230 ),
inference(forward_demodulation,[],[f1911,f1266]) ).
fof(f1911,plain,
( e20 = op2(e20,op2(e20,e23))
| ~ spl38_230 ),
inference(avatar_component_clause,[],[f1910]) ).
fof(f1910,plain,
( spl38_230
<=> e20 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_230])]) ).
fof(f2678,plain,
( ~ spl38_38
| spl38_41
| ~ spl38_176
| ~ spl38_217 ),
inference(avatar_contradiction_clause,[],[f2677]) ).
fof(f2677,plain,
( $false
| ~ spl38_38
| spl38_41
| ~ spl38_176
| ~ spl38_217 ),
inference(subsumption_resolution,[],[f2674,f1216]) ).
fof(f2674,plain,
( e21 != h4(e11)
| ~ spl38_38
| spl38_41
| ~ spl38_176
| ~ spl38_217 ),
inference(backward_demodulation,[],[f2588,f1671]) ).
fof(f2588,plain,
( e21 != h4(op1(e10,e10))
| ~ spl38_38
| spl38_41
| ~ spl38_176 ),
inference(forward_demodulation,[],[f2356,f2395]) ).
fof(f2395,plain,
( e21 = h1(e10)
| ~ spl38_38
| ~ spl38_176 ),
inference(backward_demodulation,[],[f2304,f1491]) ).
fof(f2304,plain,
( op2(e20,e20) = h1(e10)
| ~ spl38_38 ),
inference(backward_demodulation,[],[f1153,f1951]) ).
fof(f1951,plain,
( e20 = h1(e12)
| ~ spl38_38 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f1153,plain,
h1(e10) = op2(h1(e12),e20),
inference(forward_demodulation,[],[f1152,f1150]) ).
fof(f1152,plain,
h1(e10) = op2(op2(e20,h1(e11)),e20),
inference(forward_demodulation,[],[f225,f226]) ).
fof(f225,plain,
h1(e10) = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f2356,plain,
( h1(e10) != h4(op1(e10,e10))
| ~ spl38_38
| spl38_41 ),
inference(forward_demodulation,[],[f2300,f2304]) ).
fof(f2300,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl38_41 ),
inference(forward_demodulation,[],[f792,f1233]) ).
fof(f792,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl38_41 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f791,plain,
( spl38_41
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_41])]) ).
fof(f2649,plain,
( ~ spl38_137
| ~ spl38_146 ),
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2648,plain,
( $false
| ~ spl38_137
| ~ spl38_146 ),
inference(subsumption_resolution,[],[f2428,f1308]) ).
fof(f1308,plain,
( e23 = op2(e20,e22)
| ~ spl38_146 ),
inference(avatar_component_clause,[],[f1307]) ).
fof(f1307,plain,
( spl38_146
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_146])]) ).
fof(f2428,plain,
( e23 != op2(e20,e22)
| ~ spl38_137 ),
inference(forward_demodulation,[],[f317,f1266]) ).
fof(f2647,plain,
( ~ spl38_137
| ~ spl38_138 ),
inference(avatar_contradiction_clause,[],[f2646]) ).
fof(f2646,plain,
( $false
| ~ spl38_137
| ~ spl38_138 ),
inference(subsumption_resolution,[],[f1269,f2645]) ).
fof(f2645,plain,
( e23 != op2(e21,e23)
| ~ spl38_137 ),
inference(backward_demodulation,[],[f306,f1266]) ).
fof(f306,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1269,plain,
( e23 = op2(e21,e23)
| ~ spl38_138 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1268,plain,
( spl38_138
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_138])]) ).
fof(f2643,plain,
( spl38_24
| ~ spl38_172 ),
inference(avatar_split_clause,[],[f2642,f1470,f726]) ).
fof(f726,plain,
( spl38_24
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_24])]) ).
fof(f2642,plain,
( e21 = h2(e11)
| ~ spl38_172 ),
inference(forward_demodulation,[],[f234,f1471]) ).
fof(f2641,plain,
( ~ spl38_24
| ~ spl38_156 ),
inference(avatar_split_clause,[],[f2640,f1349,f726]) ).
fof(f2640,plain,
( e21 != h2(e11)
| ~ spl38_156 ),
inference(forward_demodulation,[],[f1186,f1350]) ).
fof(f1186,plain,
op2(e21,e22) != h2(e11),
inference(forward_demodulation,[],[f321,f234]) ).
fof(f321,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2638,plain,
( ~ spl38_24
| ~ spl38_159 ),
inference(avatar_split_clause,[],[f2637,f1361,f726]) ).
fof(f2637,plain,
( e21 != h2(e11)
| ~ spl38_159 ),
inference(forward_demodulation,[],[f1201,f1362]) ).
fof(f1201,plain,
op2(e22,e21) != h2(e11),
inference(forward_demodulation,[],[f297,f234]) ).
fof(f297,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2627,plain,
( ~ spl38_148
| ~ spl38_154 ),
inference(avatar_contradiction_clause,[],[f2626]) ).
fof(f2626,plain,
( $false
| ~ spl38_148
| ~ spl38_154 ),
inference(subsumption_resolution,[],[f2625,f201]) ).
fof(f201,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2625,plain,
( e22 = e23
| ~ spl38_148
| ~ spl38_154 ),
inference(forward_demodulation,[],[f1318,f1342]) ).
fof(f1318,plain,
( e23 = op2(e22,e20)
| ~ spl38_148 ),
inference(avatar_component_clause,[],[f1317]) ).
fof(f1317,plain,
( spl38_148
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_148])]) ).
fof(f2606,plain,
( ~ spl38_199
| ~ spl38_201 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2605,plain,
( $false
| ~ spl38_199
| ~ spl38_201 ),
inference(subsumption_resolution,[],[f1599,f2461]) ).
fof(f2461,plain,
( e11 != op1(e12,e11)
| ~ spl38_199 ),
inference(backward_demodulation,[],[f279,f1590]) ).
fof(f2599,plain,
( ~ spl38_208
| ~ spl38_211 ),
inference(avatar_contradiction_clause,[],[f2598]) ).
fof(f2598,plain,
( $false
| ~ spl38_208
| ~ spl38_211 ),
inference(subsumption_resolution,[],[f2597,f218]) ).
fof(f2597,plain,
( e10 = e11
| ~ spl38_208
| ~ spl38_211 ),
inference(backward_demodulation,[],[f1630,f1643]) ).
fof(f1630,plain,
( e11 = op1(e10,e11)
| ~ spl38_208 ),
inference(avatar_component_clause,[],[f1629]) ).
fof(f1629,plain,
( spl38_208
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_208])]) ).
fof(f2584,plain,
( ~ spl38_216
| ~ spl38_196 ),
inference(avatar_split_clause,[],[f2583,f1578,f1663]) ).
fof(f2583,plain,
( op1(e10,e10) != e12
| ~ spl38_196 ),
inference(forward_demodulation,[],[f241,f1579]) ).
fof(f241,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2565,plain,
( spl38_202
| ~ spl38_193
| ~ spl38_253 ),
inference(avatar_split_clause,[],[f2564,f2119,f1565,f1603]) ).
fof(f1603,plain,
( spl38_202
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_202])]) ).
fof(f2119,plain,
( spl38_253
<=> e10 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_253])]) ).
fof(f2564,plain,
( e10 = op1(e10,e12)
| ~ spl38_193
| ~ spl38_253 ),
inference(forward_demodulation,[],[f2120,f1566]) ).
fof(f2120,plain,
( e10 = op1(e10,op1(e10,e12))
| ~ spl38_253 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2546,plain,
( ~ spl38_137
| ~ spl38_141 ),
inference(avatar_contradiction_clause,[],[f2545]) ).
fof(f2545,plain,
( $false
| ~ spl38_137
| ~ spl38_141 ),
inference(subsumption_resolution,[],[f2544,f201]) ).
fof(f2544,plain,
( e22 = e23
| ~ spl38_137
| ~ spl38_141 ),
inference(backward_demodulation,[],[f1266,f1288]) ).
fof(f2527,plain,
( ~ spl38_149
| ~ spl38_159 ),
inference(avatar_contradiction_clause,[],[f2526]) ).
fof(f2526,plain,
( $false
| ~ spl38_149
| ~ spl38_159 ),
inference(subsumption_resolution,[],[f2524,f200]) ).
fof(f2524,plain,
( e21 = e23
| ~ spl38_149
| ~ spl38_159 ),
inference(backward_demodulation,[],[f1321,f1362]) ).
fof(f2520,plain,
( ~ spl38_193
| ~ spl38_202 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2519,plain,
( $false
| ~ spl38_193
| ~ spl38_202 ),
inference(subsumption_resolution,[],[f2518,f219]) ).
fof(f2518,plain,
( e10 = e12
| ~ spl38_193
| ~ spl38_202 ),
inference(forward_demodulation,[],[f1566,f1604]) ).
fof(f1604,plain,
( e10 = op1(e10,e12)
| ~ spl38_202 ),
inference(avatar_component_clause,[],[f1603]) ).
fof(f2507,plain,
( ~ spl38_210
| ~ spl38_214 ),
inference(avatar_contradiction_clause,[],[f2506]) ).
fof(f2506,plain,
( $false
| ~ spl38_210
| ~ spl38_214 ),
inference(subsumption_resolution,[],[f2505,f218]) ).
fof(f2505,plain,
( e10 = e11
| ~ spl38_210
| ~ spl38_214 ),
inference(forward_demodulation,[],[f1638,f1654]) ).
fof(f2504,plain,
~ spl38_213,
inference(avatar_contradiction_clause,[],[f2503]) ).
fof(f2503,plain,
( $false
| ~ spl38_213 ),
inference(subsumption_resolution,[],[f2501,f219]) ).
fof(f2501,plain,
( e10 = e12
| ~ spl38_213 ),
inference(backward_demodulation,[],[f1246,f1649]) ).
fof(f1649,plain,
( e10 = op1(e13,e11)
| ~ spl38_213 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl38_213
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_213])]) ).
fof(f2480,plain,
( ~ spl38_184
| ~ spl38_194 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2479,plain,
( $false
| ~ spl38_184
| ~ spl38_194 ),
inference(subsumption_resolution,[],[f2478,f1569]) ).
fof(f2478,plain,
( e12 != op1(e11,e12)
| ~ spl38_184 ),
inference(forward_demodulation,[],[f275,f1530]) ).
fof(f275,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2473,plain,
( ~ spl38_182
| ~ spl38_186 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2472,plain,
( $false
| ~ spl38_182
| ~ spl38_186 ),
inference(subsumption_resolution,[],[f2469,f220]) ).
fof(f220,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2469,plain,
( e10 = e13
| ~ spl38_182
| ~ spl38_186 ),
inference(backward_demodulation,[],[f1519,f1539]) ).
fof(f2418,plain,
( ~ spl38_144
| ~ spl38_161 ),
inference(avatar_contradiction_clause,[],[f2417]) ).
fof(f2417,plain,
( $false
| ~ spl38_144
| ~ spl38_161 ),
inference(subsumption_resolution,[],[f1300,f2243]) ).
fof(f2243,plain,
( e20 != op2(e23,e22)
| ~ spl38_161 ),
inference(backward_demodulation,[],[f304,f1370]) ).
fof(f2407,plain,
( ~ spl38_151
| ~ spl38_155 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
fof(f2406,plain,
( $false
| ~ spl38_151
| ~ spl38_155 ),
inference(subsumption_resolution,[],[f2405,f199]) ).
fof(f2405,plain,
( e21 = e22
| ~ spl38_151
| ~ spl38_155 ),
inference(backward_demodulation,[],[f1329,f1347]) ).
fof(f2404,plain,
( ~ spl38_154
| ~ spl38_158 ),
inference(avatar_contradiction_clause,[],[f2403]) ).
fof(f2403,plain,
( $false
| ~ spl38_154
| ~ spl38_158 ),
inference(subsumption_resolution,[],[f2402,f199]) ).
fof(f2402,plain,
( e21 = e22
| ~ spl38_154
| ~ spl38_158 ),
inference(backward_demodulation,[],[f1342,f1359]) ).
fof(f1359,plain,
( e21 = op2(e22,e20)
| ~ spl38_158 ),
inference(avatar_component_clause,[],[f1358]) ).
fof(f1358,plain,
( spl38_158
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_158])]) ).
fof(f2394,plain,
( ~ spl38_186
| ~ spl38_203 ),
inference(avatar_contradiction_clause,[],[f2393]) ).
fof(f2393,plain,
( $false
| ~ spl38_186
| ~ spl38_203 ),
inference(subsumption_resolution,[],[f1539,f2179]) ).
fof(f2179,plain,
( e10 != op1(e13,e12)
| ~ spl38_203 ),
inference(backward_demodulation,[],[f256,f1607]) ).
fof(f2392,plain,
( ~ spl38_192
| ~ spl38_205 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2391,plain,
( $false
| ~ spl38_192
| ~ spl38_205 ),
inference(subsumption_resolution,[],[f1561,f2172]) ).
fof(f2172,plain,
( e13 != op1(e12,e11)
| ~ spl38_205 ),
inference(backward_demodulation,[],[f249,f1616]) ).
fof(f249,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2367,plain,
( ~ spl38_215
| ~ spl38_181 ),
inference(avatar_split_clause,[],[f2366,f1515,f1657]) ).
fof(f1657,plain,
( spl38_215
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_215])]) ).
fof(f2366,plain,
( op1(e10,e10) != e13
| ~ spl38_181 ),
inference(forward_demodulation,[],[f242,f1516]) ).
fof(f242,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2361,plain,
( ~ spl38_181
| ~ spl38_206 ),
inference(avatar_contradiction_clause,[],[f2360]) ).
fof(f2360,plain,
( $false
| ~ spl38_181
| ~ spl38_206 ),
inference(subsumption_resolution,[],[f1620,f2349]) ).
fof(f2349,plain,
( e13 != op1(e11,e10)
| ~ spl38_181 ),
inference(forward_demodulation,[],[f244,f1516]) ).
fof(f244,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1620,plain,
( e13 = op1(e11,e10)
| ~ spl38_206 ),
inference(avatar_component_clause,[],[f1619]) ).
fof(f1619,plain,
( spl38_206
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_206])]) ).
fof(f2354,plain,
( ~ spl38_196
| ~ spl38_200 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
fof(f2353,plain,
( $false
| ~ spl38_196
| ~ spl38_200 ),
inference(subsumption_resolution,[],[f2352,f221]) ).
fof(f2352,plain,
( e11 = e12
| ~ spl38_196
| ~ spl38_200 ),
inference(backward_demodulation,[],[f1579,f1596]) ).
fof(f1596,plain,
( e11 = op1(e12,e10)
| ~ spl38_200 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1595,plain,
( spl38_200
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_200])]) ).
fof(f2351,plain,
( ~ spl38_181
| ~ spl38_182 ),
inference(avatar_contradiction_clause,[],[f2350]) ).
fof(f2350,plain,
( $false
| ~ spl38_181
| ~ spl38_182 ),
inference(subsumption_resolution,[],[f1519,f2348]) ).
fof(f2348,plain,
( e13 != op1(e13,e12)
| ~ spl38_181 ),
inference(forward_demodulation,[],[f283,f1516]) ).
fof(f283,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2347,plain,
( spl38_176
| ~ spl38_34 ),
inference(avatar_split_clause,[],[f2346,f764,f1490]) ).
fof(f2346,plain,
( op2(e20,e20) = e21
| ~ spl38_34 ),
inference(forward_demodulation,[],[f226,f1435]) ).
fof(f2345,plain,
( spl38_172
| ~ spl38_24 ),
inference(avatar_split_clause,[],[f2344,f726,f1470]) ).
fof(f2344,plain,
( e21 = op2(e21,e21)
| ~ spl38_24 ),
inference(forward_demodulation,[],[f234,f1397]) ).
fof(f1397,plain,
( e21 = h2(e11)
| ~ spl38_24 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f2335,plain,
( ~ spl38_84
| ~ spl38_154 ),
inference(avatar_split_clause,[],[f2334,f1341,f942]) ).
fof(f2334,plain,
( e22 != h3(e11)
| ~ spl38_154 ),
inference(forward_demodulation,[],[f1184,f1342]) ).
fof(f1184,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[],[f325,f230]) ).
fof(f325,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2333,plain,
( ~ spl38_87
| ~ spl38_140 ),
inference(avatar_split_clause,[],[f2332,f1279,f957]) ).
fof(f2332,plain,
( e23 != h3(e11)
| ~ spl38_140 ),
inference(forward_demodulation,[],[f1195,f1280]) ).
fof(f1195,plain,
op2(e23,e22) != h3(e11),
inference(forward_demodulation,[],[f305,f230]) ).
fof(f305,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2331,plain,
( ~ spl38_84
| ~ spl38_151 ),
inference(avatar_split_clause,[],[f2330,f1328,f942]) ).
fof(f2330,plain,
( e22 != h3(e11)
| ~ spl38_151 ),
inference(forward_demodulation,[],[f1198,f1329]) ).
fof(f1198,plain,
op2(e20,e22) != h3(e11),
inference(forward_demodulation,[],[f301,f230]) ).
fof(f301,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2326,plain,
( ~ spl38_139
| ~ spl38_140 ),
inference(avatar_contradiction_clause,[],[f2325]) ).
fof(f2325,plain,
( $false
| ~ spl38_139
| ~ spl38_140 ),
inference(subsumption_resolution,[],[f2324,f1277]) ).
fof(f2324,plain,
( e23 != op2(e23,e20)
| ~ spl38_140 ),
inference(forward_demodulation,[],[f331,f1280]) ).
fof(f331,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2321,plain,
( ~ spl38_139
| ~ spl38_163 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| ~ spl38_139
| ~ spl38_163 ),
inference(subsumption_resolution,[],[f2234,f1277]) ).
fof(f2234,plain,
( e23 != op2(e23,e20)
| ~ spl38_163 ),
inference(backward_demodulation,[],[f292,f1384]) ).
fof(f2285,plain,
( ~ spl38_139
| ~ spl38_143 ),
inference(avatar_contradiction_clause,[],[f2284]) ).
fof(f2284,plain,
( $false
| ~ spl38_139
| ~ spl38_143 ),
inference(subsumption_resolution,[],[f2283,f198]) ).
fof(f198,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2283,plain,
( e20 = e23
| ~ spl38_139
| ~ spl38_143 ),
inference(forward_demodulation,[],[f1277,f1297]) ).
fof(f2277,plain,
( ~ spl38_39
| ~ spl38_143 ),
inference(avatar_split_clause,[],[f2275,f1296,f783]) ).
fof(f783,plain,
( spl38_39
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_39])]) ).
fof(f2275,plain,
( e20 != h1(e11)
| ~ spl38_143 ),
inference(backward_demodulation,[],[f1203,f1297]) ).
fof(f1203,plain,
op2(e23,e20) != h1(e11),
inference(forward_demodulation,[],[f290,f226]) ).
fof(f290,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2270,plain,
( ~ spl38_111
| ~ spl38_149 ),
inference(avatar_split_clause,[],[f2266,f1320,f1047]) ).
fof(f2266,plain,
( e23 != h2(e11)
| ~ spl38_149 ),
inference(backward_demodulation,[],[f1201,f1321]) ).
fof(f2260,plain,
( ~ spl38_132
| ~ spl38_154 ),
inference(avatar_split_clause,[],[f2257,f1341,f1122]) ).
fof(f1122,plain,
( spl38_132
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_132])]) ).
fof(f2257,plain,
( e22 != h1(e11)
| ~ spl38_154 ),
inference(backward_demodulation,[],[f1205,f1342]) ).
fof(f1205,plain,
op2(e22,e20) != h1(e11),
inference(forward_demodulation,[],[f289,f226]) ).
fof(f289,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2259,plain,
( ~ spl38_83
| ~ spl38_154
| ~ spl38_157 ),
inference(avatar_split_clause,[],[f2255,f1352,f1341,f938]) ).
fof(f938,plain,
( spl38_83
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_83])]) ).
fof(f2255,plain,
( e22 != h3(e12)
| ~ spl38_154
| ~ spl38_157 ),
inference(backward_demodulation,[],[f2254,f1342]) ).
fof(f2254,plain,
( op2(e22,e20) != h3(e12)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f324,f2249]) ).
fof(f2249,plain,
( op2(e22,e21) = h3(e12)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f1154,f2248]) ).
fof(f2248,plain,
( e21 = h3(e11)
| ~ spl38_157 ),
inference(backward_demodulation,[],[f230,f1353]) ).
fof(f324,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2231,plain,
( ~ spl38_39
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f2227,f1408,f783]) ).
fof(f2227,plain,
( e20 != h1(e11)
| ~ spl38_167 ),
inference(backward_demodulation,[],[f1190,f1409]) ).
fof(f1190,plain,
op2(e20,e21) != h1(e11),
inference(forward_demodulation,[],[f312,f226]) ).
fof(f312,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2230,plain,
( ~ spl38_29
| ~ spl38_167 ),
inference(avatar_split_clause,[],[f2225,f1408,f745]) ).
fof(f2225,plain,
( e20 != h2(e11)
| ~ spl38_167 ),
inference(backward_demodulation,[],[f1202,f1409]) ).
fof(f1202,plain,
op2(e20,e21) != h2(e11),
inference(forward_demodulation,[],[f294,f234]) ).
fof(f294,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2223,plain,
( spl38_29
| ~ spl38_171 ),
inference(avatar_split_clause,[],[f2222,f1467,f745]) ).
fof(f1467,plain,
( spl38_171
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_171])]) ).
fof(f2222,plain,
( e20 = h2(e11)
| ~ spl38_171 ),
inference(backward_demodulation,[],[f234,f1468]) ).
fof(f1468,plain,
( e20 = op2(e21,e21)
| ~ spl38_171 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f2221,plain,
( spl38_39
| ~ spl38_175 ),
inference(avatar_split_clause,[],[f2220,f1487,f783]) ).
fof(f2220,plain,
( e20 = h1(e11)
| ~ spl38_175 ),
inference(backward_demodulation,[],[f226,f1488]) ).
fof(f1488,plain,
( e20 = op2(e20,e20)
| ~ spl38_175 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f2217,plain,
( ~ spl38_181
| ~ spl38_185 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2216,plain,
( $false
| ~ spl38_181
| ~ spl38_185 ),
inference(subsumption_resolution,[],[f2215,f220]) ).
fof(f2215,plain,
( e10 = e13
| ~ spl38_181
| ~ spl38_185 ),
inference(forward_demodulation,[],[f1516,f1536]) ).
fof(f1536,plain,
( e10 = op1(e13,e10)
| ~ spl38_185 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1535,plain,
( spl38_185
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_185])]) ).
fof(f2214,plain,
( ~ spl38_182
| ~ spl38_190 ),
inference(avatar_contradiction_clause,[],[f2213]) ).
fof(f2213,plain,
( $false
| ~ spl38_182
| ~ spl38_190 ),
inference(subsumption_resolution,[],[f1519,f2204]) ).
fof(f2204,plain,
( e13 != op1(e13,e12)
| ~ spl38_190 ),
inference(backward_demodulation,[],[f257,f1552]) ).
fof(f1552,plain,
( e13 = op1(e12,e12)
| ~ spl38_190 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f257,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2203,plain,
( ~ spl38_193
| ~ spl38_197 ),
inference(avatar_contradiction_clause,[],[f2202]) ).
fof(f2202,plain,
( $false
| ~ spl38_193
| ~ spl38_197 ),
inference(subsumption_resolution,[],[f2201,f221]) ).
fof(f2201,plain,
( e11 = e12
| ~ spl38_193
| ~ spl38_197 ),
inference(forward_demodulation,[],[f1566,f1584]) ).
fof(f2200,plain,
( ~ spl38_195
| ~ spl38_196 ),
inference(avatar_split_clause,[],[f2199,f1578,f1571]) ).
fof(f1571,plain,
( spl38_195
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_195])]) ).
fof(f2199,plain,
( e12 != op1(e12,e12)
| ~ spl38_196 ),
inference(backward_demodulation,[],[f277,f1579]) ).
fof(f277,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2190,plain,
( ~ spl38_198
| ~ spl38_203 ),
inference(avatar_contradiction_clause,[],[f2189]) ).
fof(f2189,plain,
( $false
| ~ spl38_198
| ~ spl38_203 ),
inference(subsumption_resolution,[],[f2188,f218]) ).
fof(f2188,plain,
( e10 = e11
| ~ spl38_198
| ~ spl38_203 ),
inference(forward_demodulation,[],[f1587,f1607]) ).
fof(f2187,plain,
( ~ spl38_200
| ~ spl38_201 ),
inference(avatar_contradiction_clause,[],[f2186]) ).
fof(f2186,plain,
( $false
| ~ spl38_200
| ~ spl38_201 ),
inference(subsumption_resolution,[],[f1596,f2184]) ).
fof(f2184,plain,
( e11 != op1(e12,e10)
| ~ spl38_201 ),
inference(backward_demodulation,[],[f276,f1599]) ).
fof(f276,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2141,plain,
( spl38_257
| spl38_258
| spl38_259
| spl38_182 ),
inference(avatar_split_clause,[],[f2131,f1518,f2139,f2136,f2133]) ).
fof(f2131,plain,
( e13 = op1(e13,e12)
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) ),
inference(forward_demodulation,[],[f629,f1246]) ).
fof(f629,plain,
( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23 )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
inference(definition_folding,[],[f10,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46]) ).
fof(f46,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f47,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f48,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f49,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f50,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e13 = op1(e13,op1(e13,e11))
| e12 = op1(e12,op1(e12,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11)) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f2130,plain,
( spl38_253
| spl38_254
| spl38_255
| spl38_256 ),
inference(avatar_split_clause,[],[f630,f2128,f2125,f2122,f2119]) ).
fof(f630,plain,
( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2117,plain,
( spl38_251
| spl38_252
| spl38_196 ),
inference(avatar_split_clause,[],[f2110,f1578,f2115,f2112]) ).
fof(f2110,plain,
( e12 = op1(e12,e10)
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(forward_demodulation,[],[f2109,f1253]) ).
fof(f2109,plain,
( e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(subsumption_resolution,[],[f2108,f223]) ).
fof(f2108,plain,
( e12 = e13
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(forward_demodulation,[],[f2107,f1246]) ).
fof(f2107,plain,
( e13 = op1(e13,e11)
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(forward_demodulation,[],[f631,f340]) ).
fof(f631,plain,
( e13 = op1(e13,op1(e13,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13))
| e10 = op1(e10,op1(e10,e13)) ),
inference(cnf_transformation,[],[f61]) ).
fof(f2106,plain,
( spl38_250
| spl38_249
| spl38_248
| spl38_247
| spl38_246
| spl38_245
| spl38_244
| spl38_243
| spl38_242
| spl38_241
| spl38_240 ),
inference(avatar_split_clause,[],[f2105,f1955,f1968,f1978,f1992,f2001,f2009,f2019,f2028,f2036,f2046,f2056]) ).
fof(f2056,plain,
( spl38_250
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_250])]) ).
fof(f2046,plain,
( spl38_249
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_249])]) ).
fof(f2036,plain,
( spl38_248
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_248])]) ).
fof(f2028,plain,
( spl38_247
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_247])]) ).
fof(f2019,plain,
( spl38_246
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_246])]) ).
fof(f2009,plain,
( spl38_245
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_245])]) ).
fof(f2001,plain,
( spl38_244
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_244])]) ).
fof(f1992,plain,
( spl38_243
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_243])]) ).
fof(f1978,plain,
( spl38_242
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_242])]) ).
fof(f1968,plain,
( spl38_241
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_241])]) ).
fof(f1955,plain,
( spl38_240
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_240])]) ).
fof(f2105,plain,
( sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP23 ),
inference(subsumption_resolution,[],[f2104,f222]) ).
fof(f2104,plain,
( e11 = e13
| sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP23 ),
inference(forward_demodulation,[],[f2103,f340]) ).
fof(f2103,plain,
( e13 = op1(e13,e13)
| sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP23 ),
inference(subsumption_resolution,[],[f2102,f2053]) ).
fof(f2053,plain,
~ sP24,
inference(subsumption_resolution,[],[f621,f340]) ).
fof(f621,plain,
( e11 != op1(e13,e13)
| ~ sP24 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP24 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2102,plain,
( e13 = op1(e13,e13)
| sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP27
| sP26
| sP25
| sP24
| sP23 ),
inference(subsumption_resolution,[],[f2101,f2025]) ).
fof(f2025,plain,
~ sP28,
inference(subsumption_resolution,[],[f597,f340]) ).
fof(f597,plain,
( e11 != op1(e13,e13)
| ~ sP28 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2101,plain,
( e13 = op1(e13,e13)
| sP37
| sP35
| sP34
| sP33
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23 ),
inference(subsumption_resolution,[],[f2100,f1998]) ).
fof(f1998,plain,
~ sP32,
inference(subsumption_resolution,[],[f573,f340]) ).
fof(f573,plain,
( e11 != op1(e13,e13)
| ~ sP32 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2100,plain,
( e13 = op1(e13,e13)
| sP37
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23 ),
inference(subsumption_resolution,[],[f632,f1965]) ).
fof(f1965,plain,
~ sP36,
inference(subsumption_resolution,[],[f549,f340]) ).
fof(f549,plain,
( e11 != op1(e13,e13)
| ~ sP36 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f632,plain,
( e13 = op1(e13,e13)
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23 ),
inference(cnf_transformation,[],[f61]) ).
fof(f2061,plain,
( ~ spl38_250
| spl38_218 ),
inference(avatar_split_clause,[],[f622,f1677,f2056]) ).
fof(f622,plain,
( e10 = op1(e10,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP23 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2059,plain,
( ~ spl38_250
| ~ spl38_218 ),
inference(avatar_split_clause,[],[f624,f1677,f2056]) ).
fof(f624,plain,
( e10 != op1(e10,e10)
| ~ sP23 ),
inference(cnf_transformation,[],[f99]) ).
fof(f2051,plain,
~ spl38_249,
inference(avatar_split_clause,[],[f2050,f2046]) ).
fof(f2050,plain,
~ sP25,
inference(subsumption_resolution,[],[f611,f1257]) ).
fof(f1257,plain,
e10 != op1(e12,e10),
inference(backward_demodulation,[],[f278,f1253]) ).
fof(f278,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f611,plain,
( e10 = op1(e12,e10)
| ~ sP25 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP25 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2043,plain,
~ spl38_248,
inference(avatar_split_clause,[],[f2042,f2036]) ).
fof(f2042,plain,
~ sP26,
inference(subsumption_resolution,[],[f604,f1255]) ).
fof(f604,plain,
( e10 = op1(e10,e13)
| ~ sP26 ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP26 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2032,plain,
( ~ spl38_247
| spl38_208 ),
inference(avatar_split_clause,[],[f599,f1629,f2028]) ).
fof(f599,plain,
( e11 = op1(e10,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2031,plain,
( ~ spl38_247
| ~ spl38_218 ),
inference(avatar_split_clause,[],[f600,f1677,f2028]) ).
fof(f600,plain,
( e10 != op1(e10,e10)
| ~ sP27 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2030,plain,
( ~ spl38_247
| ~ spl38_212 ),
inference(avatar_split_clause,[],[f601,f1645,f2028]) ).
fof(f1645,plain,
( spl38_212
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl38_212])]) ).
fof(f601,plain,
( e10 != op1(e11,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2024,plain,
( ~ spl38_246
| spl38_198 ),
inference(avatar_split_clause,[],[f586,f1586,f2019]) ).
fof(f586,plain,
( e11 = op1(e11,e12)
| ~ sP29 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2023,plain,
( ~ spl38_246
| spl38_201 ),
inference(avatar_split_clause,[],[f587,f1598,f2019]) ).
fof(f587,plain,
( e11 = op1(e12,e11)
| ~ sP29 ),
inference(cnf_transformation,[],[f93]) ).
fof(f2021,plain,
( ~ spl38_246
| ~ spl38_195 ),
inference(avatar_split_clause,[],[f590,f1571,f2019]) ).
fof(f590,plain,
( e12 != op1(e12,e12)
| ~ sP29 ),
inference(cnf_transformation,[],[f93]) ).
fof(f2015,plain,
~ spl38_245,
inference(avatar_split_clause,[],[f2014,f2009]) ).
fof(f2014,plain,
~ sP30,
inference(subsumption_resolution,[],[f581,f1244]) ).
fof(f1244,plain,
e11 != op1(e13,e11),
inference(backward_demodulation,[],[f286,f340]) ).
fof(f286,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f581,plain,
( e11 = op1(e13,e11)
| ~ sP30 ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f2006,plain,
( ~ spl38_244
| spl38_196 ),
inference(avatar_split_clause,[],[f574,f1578,f2001]) ).
fof(f574,plain,
( e12 = op1(e12,e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2005,plain,
( ~ spl38_244
| spl38_193 ),
inference(avatar_split_clause,[],[f575,f1565,f2001]) ).
fof(f575,plain,
( e12 = op1(e10,e12)
| ~ sP31 ),
inference(cnf_transformation,[],[f91]) ).
fof(f2004,plain,
( ~ spl38_244
| ~ spl38_218 ),
inference(avatar_split_clause,[],[f576,f1677,f2001]) ).
fof(f576,plain,
( e10 != op1(e10,e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f91]) ).
fof(f2003,plain,
( ~ spl38_244
| ~ spl38_212 ),
inference(avatar_split_clause,[],[f577,f1645,f2001]) ).
fof(f577,plain,
( e10 != op1(e11,e11)
| ~ sP31 ),
inference(cnf_transformation,[],[f91]) ).
fof(f1997,plain,
( ~ spl38_243
| spl38_195 ),
inference(avatar_split_clause,[],[f562,f1571,f1992]) ).
fof(f562,plain,
( e12 = op1(e12,e12)
| ~ sP33 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f1994,plain,
( ~ spl38_243
| ~ spl38_195 ),
inference(avatar_split_clause,[],[f566,f1571,f1992]) ).
fof(f566,plain,
( e12 != op1(e12,e12)
| ~ sP33 ),
inference(cnf_transformation,[],[f89]) ).
fof(f1987,plain,
~ spl38_242,
inference(avatar_split_clause,[],[f1986,f1978]) ).
fof(f1986,plain,
~ sP34,
inference(subsumption_resolution,[],[f557,f1251]) ).
fof(f1251,plain,
e12 != op1(e13,e12),
inference(backward_demodulation,[],[f285,f1246]) ).
fof(f285,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f557,plain,
( e12 = op1(e13,e12)
| ~ sP34 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11)
& op1(e10,e10) != e13
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1975,plain,
( ~ spl38_241
| spl38_181 ),
inference(avatar_split_clause,[],[f550,f1515,f1968]) ).
fof(f550,plain,
( e13 = op1(e13,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e10 != op1(e13,e13)
& e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f1974,plain,
( ~ spl38_241
| spl38_179 ),
inference(avatar_split_clause,[],[f551,f1504,f1968]) ).
fof(f551,plain,
( e13 = op1(e10,e13)
| ~ sP35 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1973,plain,
( ~ spl38_241
| ~ spl38_218 ),
inference(avatar_split_clause,[],[f552,f1677,f1968]) ).
fof(f552,plain,
( e10 != op1(e10,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1971,plain,
( ~ spl38_241
| ~ spl38_212 ),
inference(avatar_split_clause,[],[f553,f1645,f1968]) ).
fof(f553,plain,
( e10 != op1(e11,e11)
| ~ sP35 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1963,plain,
~ spl38_240,
inference(avatar_split_clause,[],[f1962,f1955]) ).
fof(f1962,plain,
~ sP37,
inference(subsumption_resolution,[],[f1961,f220]) ).
fof(f1961,plain,
( e10 = e13
| ~ sP37 ),
inference(forward_demodulation,[],[f539,f1253]) ).
fof(f539,plain,
( e13 = op1(e12,e13)
| ~ sP37 ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1939,plain,
( spl38_235
| spl38_236
| spl38_140
| spl38_23 ),
inference(avatar_split_clause,[],[f1931,f722,f1279,f1936,f1933]) ).
fof(f1931,plain,
( e21 = h2(e12)
| e23 = op2(e23,e22)
| e22 = op2(e22,op2(e22,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[],[f1930,f1158]) ).
fof(f1930,plain,
( e21 = op2(e21,h2(e11))
| e23 = op2(e23,e22)
| e22 = op2(e22,op2(e22,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[],[f1929,f234]) ).
fof(f1929,plain,
( e23 = op2(e23,e22)
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(forward_demodulation,[],[f529,f1222]) ).
fof(f529,plain,
( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
inference(definition_folding,[],[f11,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30]) ).
fof(f30,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f31,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f33,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) )
& ( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) )
& ( e23 = op2(e23,op2(e23,e21))
| e22 = op2(e22,op2(e22,e21))
| e21 = op2(e21,op2(e21,e21))
| e20 = op2(e20,op2(e20,e21)) )
& ( e23 = op2(e23,op2(e23,e20))
| e22 = op2(e22,op2(e22,e20))
| e21 = op2(e21,op2(e21,e20))
| e20 = op2(e20,op2(e20,e20)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1928,plain,
( spl38_232
| spl38_233
| spl38_234
| spl38_83 ),
inference(avatar_split_clause,[],[f1917,f938,f1925,f1922,f1919]) ).
fof(f1917,plain,
( e22 = h3(e12)
| e23 = op2(e23,op2(e23,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(forward_demodulation,[],[f1916,f1154]) ).
fof(f1916,plain,
( e22 = op2(e22,h3(e11))
| e23 = op2(e23,op2(e23,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(forward_demodulation,[],[f530,f230]) ).
fof(f530,plain,
( e23 = op2(e23,op2(e23,e22))
| e22 = op2(e22,op2(e22,e22))
| e21 = op2(e21,op2(e21,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f1915,plain,
( spl38_230
| spl38_231
| spl38_154 ),
inference(avatar_split_clause,[],[f1908,f1341,f1913,f1910]) ).
fof(f1908,plain,
( e22 = op2(e22,e20)
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(forward_demodulation,[],[f1907,f1232]) ).
fof(f1907,plain,
( e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(subsumption_resolution,[],[f1906,f201]) ).
fof(f1906,plain,
( e22 = e23
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(forward_demodulation,[],[f1905,f1222]) ).
fof(f1905,plain,
( e23 = op2(e23,e21)
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(forward_demodulation,[],[f531,f337]) ).
fof(f531,plain,
( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f1904,plain,
( spl38_229
| spl38_228
| spl38_227
| spl38_226
| spl38_225
| spl38_224
| spl38_223
| spl38_222
| spl38_221
| spl38_220
| spl38_219 ),
inference(avatar_split_clause,[],[f1903,f1712,f1727,f1739,f1753,f1769,f1781,f1794,f1807,f1819,f1832,f1846]) ).
fof(f1846,plain,
( spl38_229
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_229])]) ).
fof(f1832,plain,
( spl38_228
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_228])]) ).
fof(f1819,plain,
( spl38_227
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_227])]) ).
fof(f1807,plain,
( spl38_226
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_226])]) ).
fof(f1794,plain,
( spl38_225
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_225])]) ).
fof(f1781,plain,
( spl38_224
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_224])]) ).
fof(f1769,plain,
( spl38_223
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_223])]) ).
fof(f1753,plain,
( spl38_222
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_222])]) ).
fof(f1739,plain,
( spl38_221
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_221])]) ).
fof(f1727,plain,
( spl38_220
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_220])]) ).
fof(f1712,plain,
( spl38_219
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_219])]) ).
fof(f1903,plain,
( sP22
| sP20
| sP19
| sP18
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP8 ),
inference(subsumption_resolution,[],[f1902,f200]) ).
fof(f1902,plain,
( e21 = e23
| sP22
| sP20
| sP19
| sP18
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP8 ),
inference(forward_demodulation,[],[f1901,f337]) ).
fof(f1901,plain,
( e23 = op2(e23,e23)
| sP22
| sP20
| sP19
| sP18
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP8 ),
inference(subsumption_resolution,[],[f1900,f1842]) ).
fof(f1842,plain,
~ sP9,
inference(subsumption_resolution,[],[f521,f337]) ).
fof(f521,plain,
( e21 != op2(e23,e23)
| ~ sP9 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP9 ),
inference(nnf_transformation,[],[f31]) ).
fof(f1900,plain,
( e23 = op2(e23,e23)
| sP22
| sP20
| sP19
| sP18
| sP16
| sP15
| sP14
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f1899,f1803]) ).
fof(f1803,plain,
~ sP13,
inference(subsumption_resolution,[],[f497,f337]) ).
fof(f497,plain,
( e21 != op2(e23,e23)
| ~ sP13 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1899,plain,
( e23 = op2(e23,e23)
| sP22
| sP20
| sP19
| sP18
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f1898,f1765]) ).
fof(f1765,plain,
~ sP17,
inference(subsumption_resolution,[],[f473,f337]) ).
fof(f473,plain,
( e21 != op2(e23,e23)
| ~ sP17 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f1898,plain,
( e23 = op2(e23,e23)
| sP22
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f532,f1723]) ).
fof(f1723,plain,
~ sP21,
inference(subsumption_resolution,[],[f449,f337]) ).
fof(f449,plain,
( e21 != op2(e23,e23)
| ~ sP21 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e21 != op2(e23,e23)
& e21 != op2(e22,e22)
& e21 != op2(e21,e21)
& op2(e20,e20) != e21
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f532,plain,
( e23 = op2(e23,e23)
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(cnf_transformation,[],[f45]) ).
fof(f1856,plain,
( ~ spl38_229
| spl38_39 ),
inference(avatar_split_clause,[],[f1855,f783,f1846]) ).
fof(f1855,plain,
( e20 = h1(e11)
| ~ sP8 ),
inference(forward_demodulation,[],[f522,f226]) ).
fof(f522,plain,
( e20 = op2(e20,e20)
| ~ sP8 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP8 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1850,plain,
( ~ spl38_229
| ~ spl38_29 ),
inference(avatar_split_clause,[],[f1849,f745,f1846]) ).
fof(f1849,plain,
( e20 != h2(e11)
| ~ sP8 ),
inference(forward_demodulation,[],[f525,f234]) ).
fof(f525,plain,
( e20 != op2(e21,e21)
| ~ sP8 ),
inference(cnf_transformation,[],[f84]) ).
fof(f1840,plain,
~ spl38_228,
inference(avatar_split_clause,[],[f1839,f1832]) ).
fof(f1839,plain,
~ sP10,
inference(subsumption_resolution,[],[f511,f1236]) ).
fof(f1236,plain,
e20 != op2(e22,e20),
inference(backward_demodulation,[],[f1213,f1233]) ).
fof(f1213,plain,
op2(e22,e20) != h4(e10),
inference(backward_demodulation,[],[f326,f1209]) ).
fof(f326,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f511,plain,
( e20 = op2(e22,e20)
| ~ sP10 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP10 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1828,plain,
~ spl38_227,
inference(avatar_split_clause,[],[f1827,f1819]) ).
fof(f1827,plain,
~ sP11,
inference(subsumption_resolution,[],[f504,f1238]) ).
fof(f504,plain,
( e20 = op2(e20,e23)
| ~ sP11 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP11 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1814,plain,
( ~ spl38_226
| spl38_165 ),
inference(avatar_split_clause,[],[f499,f1395,f1807]) ).
fof(f499,plain,
( e21 = op2(e20,e21)
| ~ sP12 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1811,plain,
( ~ spl38_226
| ~ spl38_29 ),
inference(avatar_split_clause,[],[f1810,f745,f1807]) ).
fof(f1810,plain,
( e20 != h2(e11)
| ~ sP12 ),
inference(forward_demodulation,[],[f501,f234]) ).
fof(f501,plain,
( e20 != op2(e21,e21)
| ~ sP12 ),
inference(cnf_transformation,[],[f80]) ).
fof(f1802,plain,
( ~ spl38_225
| spl38_156 ),
inference(avatar_split_clause,[],[f486,f1349,f1794]) ).
fof(f486,plain,
( e21 = op2(e21,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1801,plain,
( ~ spl38_225
| spl38_159 ),
inference(avatar_split_clause,[],[f487,f1361,f1794]) ).
fof(f487,plain,
( e21 = op2(e22,e21)
| ~ sP14 ),
inference(cnf_transformation,[],[f78]) ).
fof(f1796,plain,
( ~ spl38_225
| ~ spl38_84 ),
inference(avatar_split_clause,[],[f1792,f942,f1794]) ).
fof(f1792,plain,
( e22 != h3(e11)
| ~ sP14 ),
inference(forward_demodulation,[],[f490,f230]) ).
fof(f490,plain,
( e22 != op2(e22,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f78]) ).
fof(f1789,plain,
~ spl38_224,
inference(avatar_split_clause,[],[f1788,f1781]) ).
fof(f1788,plain,
~ sP15,
inference(subsumption_resolution,[],[f481,f1218]) ).
fof(f1218,plain,
e21 != op2(e23,e21),
inference(backward_demodulation,[],[f1176,f1216]) ).
fof(f1176,plain,
op2(e23,e21) != h4(e11),
inference(forward_demodulation,[],[f334,f238]) ).
fof(f334,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f481,plain,
( e21 = op2(e23,e21)
| ~ sP15 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1777,plain,
( ~ spl38_223
| spl38_154 ),
inference(avatar_split_clause,[],[f474,f1341,f1769]) ).
fof(f474,plain,
( e22 = op2(e22,e20)
| ~ sP16 ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1776,plain,
( ~ spl38_223
| spl38_151 ),
inference(avatar_split_clause,[],[f475,f1328,f1769]) ).
fof(f475,plain,
( e22 = op2(e20,e22)
| ~ sP16 ),
inference(cnf_transformation,[],[f76]) ).
fof(f1773,plain,
( ~ spl38_223
| ~ spl38_29 ),
inference(avatar_split_clause,[],[f1772,f745,f1769]) ).
fof(f1772,plain,
( e20 != h2(e11)
| ~ sP16 ),
inference(forward_demodulation,[],[f477,f234]) ).
fof(f477,plain,
( e20 != op2(e21,e21)
| ~ sP16 ),
inference(cnf_transformation,[],[f76]) ).
fof(f1764,plain,
( ~ spl38_222
| spl38_84 ),
inference(avatar_split_clause,[],[f1763,f942,f1753]) ).
fof(f1763,plain,
( e22 = h3(e11)
| ~ sP18 ),
inference(forward_demodulation,[],[f462,f230]) ).
fof(f462,plain,
( e22 = op2(e22,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1755,plain,
( ~ spl38_222
| ~ spl38_84 ),
inference(avatar_split_clause,[],[f1751,f942,f1753]) ).
fof(f1751,plain,
( e22 != h3(e11)
| ~ sP18 ),
inference(forward_demodulation,[],[f466,f230]) ).
fof(f466,plain,
( e22 != op2(e22,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f74]) ).
fof(f1747,plain,
~ spl38_221,
inference(avatar_split_clause,[],[f1746,f1739]) ).
fof(f1746,plain,
~ sP19,
inference(subsumption_resolution,[],[f457,f1228]) ).
fof(f1228,plain,
e22 != op2(e23,e22),
inference(backward_demodulation,[],[f333,f1222]) ).
fof(f333,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f457,plain,
( e22 = op2(e23,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& e23 != op2(e21,e21)
& op2(e20,e20) != e23
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f1735,plain,
( ~ spl38_220
| spl38_139 ),
inference(avatar_split_clause,[],[f450,f1276,f1727]) ).
fof(f450,plain,
( e23 = op2(e23,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1734,plain,
( ~ spl38_220
| spl38_137 ),
inference(avatar_split_clause,[],[f451,f1265,f1727]) ).
fof(f451,plain,
( e23 = op2(e20,e23)
| ~ sP20 ),
inference(cnf_transformation,[],[f72]) ).
fof(f1733,plain,
( ~ spl38_220
| ~ spl38_39 ),
inference(avatar_split_clause,[],[f1732,f783,f1727]) ).
fof(f1732,plain,
( e20 != h1(e11)
| ~ sP20 ),
inference(forward_demodulation,[],[f452,f226]) ).
fof(f452,plain,
( e20 != op2(e20,e20)
| ~ sP20 ),
inference(cnf_transformation,[],[f72]) ).
fof(f1731,plain,
( ~ spl38_220
| ~ spl38_29 ),
inference(avatar_split_clause,[],[f1730,f745,f1727]) ).
fof(f1730,plain,
( e20 != h2(e11)
| ~ sP20 ),
inference(forward_demodulation,[],[f453,f234]) ).
fof(f453,plain,
( e20 != op2(e21,e21)
| ~ sP20 ),
inference(cnf_transformation,[],[f72]) ).
fof(f1721,plain,
~ spl38_219,
inference(avatar_split_clause,[],[f1720,f1712]) ).
fof(f1720,plain,
~ sP22,
inference(subsumption_resolution,[],[f1719,f198]) ).
fof(f1719,plain,
( e20 = e23
| ~ sP22 ),
inference(forward_demodulation,[],[f439,f1232]) ).
fof(f439,plain,
( e23 = op2(e22,e23)
| ~ sP22 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1708,plain,
( spl38_218
| spl38_217
| spl38_216
| spl38_215 ),
inference(avatar_split_clause,[],[f422,f1657,f1663,f1670,f1677]) ).
fof(f422,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1704,plain,
( spl38_183
| spl38_179 ),
inference(avatar_split_clause,[],[f1703,f1504,f1526]) ).
fof(f1703,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1702,f1255]) ).
fof(f1702,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f425,f1240]) ).
fof(f1240,plain,
e11 != op1(e10,e13),
inference(backward_demodulation,[],[f260,f340]) ).
fof(f260,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1700,plain,
( spl38_212
| spl38_209
| spl38_205 ),
inference(avatar_split_clause,[],[f1699,f1615,f1632,f1645]) ).
fof(f1699,plain,
( e13 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(subsumption_resolution,[],[f427,f1248]) ).
fof(f1248,plain,
e12 != op1(e11,e11),
inference(backward_demodulation,[],[f250,f1246]) ).
fof(f250,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f427,plain,
( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1698,plain,
( spl38_203
| spl38_198
| spl38_194
| spl38_189 ),
inference(avatar_split_clause,[],[f428,f1548,f1568,f1586,f1606]) ).
fof(f428,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1697,plain,
( spl38_184
| spl38_180 ),
inference(avatar_split_clause,[],[f1696,f1507,f1529]) ).
fof(f1696,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f1695,f1256]) ).
fof(f1256,plain,
e10 != op1(e11,e13),
inference(backward_demodulation,[],[f261,f1253]) ).
fof(f261,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1695,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f429,f1241]) ).
fof(f429,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1692,plain,
( spl38_201
| spl38_192 ),
inference(avatar_split_clause,[],[f1691,f1560,f1598]) ).
fof(f1691,plain,
( e13 = op1(e12,e11)
| e11 = op1(e12,e11) ),
inference(subsumption_resolution,[],[f1690,f1258]) ).
fof(f1258,plain,
e10 != op1(e12,e11),
inference(backward_demodulation,[],[f280,f1253]) ).
fof(f280,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1690,plain,
( e13 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(subsumption_resolution,[],[f431,f1249]) ).
fof(f431,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1689,plain,
( spl38_199
| spl38_195
| spl38_190 ),
inference(avatar_split_clause,[],[f1688,f1551,f1571,f1589]) ).
fof(f1688,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12) ),
inference(subsumption_resolution,[],[f432,f1259]) ).
fof(f1259,plain,
e10 != op1(e12,e12),
inference(backward_demodulation,[],[f281,f1253]) ).
fof(f281,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f432,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1684,plain,
( spl38_186
| spl38_182 ),
inference(avatar_split_clause,[],[f1683,f1518,f1538]) ).
fof(f1683,plain,
( e13 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(subsumption_resolution,[],[f1682,f1245]) ).
fof(f1245,plain,
e11 != op1(e13,e12),
inference(backward_demodulation,[],[f287,f340]) ).
fof(f287,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1682,plain,
( e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(subsumption_resolution,[],[f436,f1251]) ).
fof(f436,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1681,plain,
( spl38_218
| spl38_211
| spl38_202 ),
inference(avatar_split_clause,[],[f1680,f1603,f1642,f1677]) ).
fof(f1680,plain,
( e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(subsumption_resolution,[],[f390,f1255]) ).
fof(f390,plain,
( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1679,plain,
( spl38_218
| spl38_214
| spl38_185 ),
inference(avatar_split_clause,[],[f1675,f1535,f1653,f1677]) ).
fof(f1675,plain,
( e10 = op1(e13,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(subsumption_resolution,[],[f391,f1257]) ).
fof(f391,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1674,plain,
( spl38_217
| spl38_208
| spl38_197 ),
inference(avatar_split_clause,[],[f1673,f1583,f1629,f1670]) ).
fof(f1673,plain,
( e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(subsumption_resolution,[],[f392,f1240]) ).
fof(f392,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1672,plain,
( spl38_217
| spl38_210
| spl38_200 ),
inference(avatar_split_clause,[],[f1668,f1595,f1637,f1670]) ).
fof(f1668,plain,
( e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(subsumption_resolution,[],[f393,f1243]) ).
fof(f1243,plain,
e11 != op1(e13,e10),
inference(backward_demodulation,[],[f284,f340]) ).
fof(f284,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f393,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1667,plain,
( spl38_216
| spl38_193
| spl38_183 ),
inference(avatar_split_clause,[],[f1666,f1526,f1565,f1663]) ).
fof(f1666,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12 ),
inference(subsumption_resolution,[],[f394,f1247]) ).
fof(f1247,plain,
e12 != op1(e10,e11),
inference(backward_demodulation,[],[f248,f1246]) ).
fof(f248,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f394,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1665,plain,
( spl38_216
| spl38_207
| spl38_196 ),
inference(avatar_split_clause,[],[f1661,f1578,f1624,f1663]) ).
fof(f1661,plain,
( e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(subsumption_resolution,[],[f395,f1250]) ).
fof(f1250,plain,
e12 != op1(e13,e10),
inference(backward_demodulation,[],[f282,f1246]) ).
fof(f282,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f395,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1655,plain,
( spl38_214
| spl38_212
| spl38_203 ),
inference(avatar_split_clause,[],[f1651,f1606,f1645,f1653]) ).
fof(f1651,plain,
( e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f398,f1256]) ).
fof(f398,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1650,plain,
( spl38_211
| spl38_212
| spl38_213 ),
inference(avatar_split_clause,[],[f1640,f1648,f1645,f1642]) ).
fof(f1640,plain,
( e10 = op1(e13,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f399,f1258]) ).
fof(f399,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1634,plain,
( spl38_208
| spl38_209
| spl38_201 ),
inference(avatar_split_clause,[],[f1627,f1598,f1632,f1629]) ).
fof(f1627,plain,
( e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f401,f1244]) ).
fof(f401,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1621,plain,
( spl38_206
| spl38_205
| spl38_189
| spl38_180 ),
inference(avatar_split_clause,[],[f404,f1507,f1548,f1615,f1619]) ).
fof(f404,plain,
( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1608,plain,
( spl38_202
| spl38_203
| spl38_186 ),
inference(avatar_split_clause,[],[f1601,f1538,f1606,f1603]) ).
fof(f1601,plain,
( e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f407,f1259]) ).
fof(f407,plain,
( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1600,plain,
( spl38_200
| spl38_201
| spl38_199 ),
inference(avatar_split_clause,[],[f1593,f1589,f1598,f1595]) ).
fof(f1593,plain,
( e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f1592,f218]) ).
fof(f1592,plain,
( e10 = e11
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(forward_demodulation,[],[f408,f1253]) ).
fof(f408,plain,
( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1591,plain,
( spl38_197
| spl38_198
| spl38_199 ),
inference(avatar_split_clause,[],[f1581,f1589,f1586,f1583]) ).
fof(f1581,plain,
( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f409,f1245]) ).
fof(f409,plain,
( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1580,plain,
( spl38_196
| spl38_195 ),
inference(avatar_split_clause,[],[f1576,f1571,f1578]) ).
fof(f1576,plain,
( e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f1575,f219]) ).
fof(f1575,plain,
( e10 = e12
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(forward_demodulation,[],[f1574,f1253]) ).
fof(f1574,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f410,f1249]) ).
fof(f410,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1573,plain,
( spl38_193
| spl38_194
| spl38_195 ),
inference(avatar_split_clause,[],[f1563,f1571,f1568,f1565]) ).
fof(f1563,plain,
( e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f411,f1251]) ).
fof(f411,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1553,plain,
( spl38_188
| spl38_189
| spl38_190
| spl38_182 ),
inference(avatar_split_clause,[],[f413,f1518,f1551,f1548,f1545]) ).
fof(f413,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1531,plain,
( spl38_183
| spl38_184 ),
inference(avatar_split_clause,[],[f1524,f1529,f1526]) ).
fof(f1524,plain,
( e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1523,f219]) ).
fof(f1523,plain,
( e10 = e12
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(forward_demodulation,[],[f1522,f1253]) ).
fof(f1522,plain,
( e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1521,f221]) ).
fof(f1521,plain,
( e11 = e12
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(forward_demodulation,[],[f419,f340]) ).
fof(f419,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1520,plain,
( spl38_181
| spl38_182 ),
inference(avatar_split_clause,[],[f1513,f1518,f1515]) ).
fof(f1513,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f1512,f223]) ).
fof(f1512,plain,
( e12 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f1511,f1246]) ).
fof(f1511,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f1510,f222]) ).
fof(f1510,plain,
( e11 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f420,f340]) ).
fof(f420,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1483,plain,
( spl38_160
| spl38_155
| spl38_151
| spl38_146 ),
inference(avatar_split_clause,[],[f376,f1307,f1328,f1346,f1366]) ).
fof(f376,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1482,plain,
( spl38_141
| spl38_137 ),
inference(avatar_split_clause,[],[f1481,f1265,f1287]) ).
fof(f1481,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f1480,f1238]) ).
fof(f1480,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f377,f1221]) ).
fof(f1221,plain,
e21 != op2(e20,e23),
inference(backward_demodulation,[],[f1194,f1216]) ).
fof(f1194,plain,
op2(e20,e23) != h4(e11),
inference(forward_demodulation,[],[f308,f238]) ).
fof(f308,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f377,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1479,plain,
( spl38_169
| spl38_166
| spl38_164
| spl38_163 ),
inference(avatar_split_clause,[],[f378,f1383,f1388,f1402,f1418]) ).
fof(f378,plain,
( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1478,plain,
( spl38_171
| spl38_172
| spl38_173
| spl38_174 ),
inference(avatar_split_clause,[],[f379,f1476,f1473,f1470,f1467]) ).
fof(f379,plain,
( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1465,plain,
( spl38_161
| spl38_156
| spl38_152
| spl38_147 ),
inference(avatar_split_clause,[],[f380,f1310,f1331,f1349,f1369]) ).
fof(f380,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1464,plain,
( spl38_142
| spl38_138 ),
inference(avatar_split_clause,[],[f1463,f1268,f1290]) ).
fof(f1463,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f1462,f1237]) ).
fof(f1237,plain,
e20 != op2(e21,e23),
inference(backward_demodulation,[],[f1211,f1233]) ).
fof(f1211,plain,
op2(e21,e23) != h4(e10),
inference(backward_demodulation,[],[f309,f1209]) ).
fof(f309,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1462,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f381,f1220]) ).
fof(f381,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1459,plain,
( spl38_159
| spl38_149 ),
inference(avatar_split_clause,[],[f1458,f1320,f1361]) ).
fof(f1458,plain,
( e23 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(subsumption_resolution,[],[f1457,f1235]) ).
fof(f1235,plain,
e20 != op2(e22,e21),
inference(backward_demodulation,[],[f1214,f1233]) ).
fof(f1214,plain,
op2(e22,e21) != h4(e10),
inference(backward_demodulation,[],[f328,f1209]) ).
fof(f328,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1457,plain,
( e23 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(subsumption_resolution,[],[f383,f1226]) ).
fof(f1226,plain,
e22 != op2(e22,e21),
inference(backward_demodulation,[],[f299,f1222]) ).
fof(f299,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f383,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1452,plain,
( spl38_143
| spl38_139 ),
inference(avatar_split_clause,[],[f1451,f1276,f1296]) ).
fof(f1451,plain,
( e23 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1450,f1219]) ).
fof(f1219,plain,
e21 != op2(e23,e20),
inference(backward_demodulation,[],[f1177,f1216]) ).
fof(f1177,plain,
op2(e23,e20) != h4(e11),
inference(forward_demodulation,[],[f332,f238]) ).
fof(f332,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1450,plain,
( e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f386,f1227]) ).
fof(f1227,plain,
e22 != op2(e23,e20),
inference(backward_demodulation,[],[f330,f1222]) ).
fof(f330,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f386,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1449,plain,
( spl38_144
| spl38_140 ),
inference(avatar_split_clause,[],[f1448,f1279,f1299]) ).
fof(f1448,plain,
( e23 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(subsumption_resolution,[],[f1447,f1217]) ).
fof(f1217,plain,
e21 != op2(e23,e22),
inference(backward_demodulation,[],[f1175,f1216]) ).
fof(f1175,plain,
op2(e23,e22) != h4(e11),
inference(forward_demodulation,[],[f335,f238]) ).
fof(f335,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1447,plain,
( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(subsumption_resolution,[],[f388,f1228]) ).
fof(f388,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1446,plain,
( spl38_167
| spl38_160
| spl38_39 ),
inference(avatar_split_clause,[],[f1445,f783,f1366,f1408]) ).
fof(f1445,plain,
( e20 = h1(e11)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f1444,f226]) ).
fof(f1444,plain,
( e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f342,f1238]) ).
fof(f342,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f1443,plain,
( spl38_169
| spl38_143
| spl38_39 ),
inference(avatar_split_clause,[],[f1441,f783,f1296,f1418]) ).
fof(f1441,plain,
( e20 = h1(e11)
| e20 = op2(e23,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1440,f226]) ).
fof(f1440,plain,
( e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f343,f1236]) ).
fof(f343,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1436,plain,
( spl38_166
| spl38_158
| spl38_34 ),
inference(avatar_split_clause,[],[f1434,f764,f1358,f1402]) ).
fof(f1434,plain,
( e21 = h1(e11)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1433,f226]) ).
fof(f1433,plain,
( e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(subsumption_resolution,[],[f345,f1219]) ).
fof(f345,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1432,plain,
( spl38_151
| spl38_141
| spl38_132 ),
inference(avatar_split_clause,[],[f1431,f1122,f1287,f1328]) ).
fof(f1431,plain,
( e22 = h1(e11)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f1430,f226]) ).
fof(f1430,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22 ),
inference(subsumption_resolution,[],[f346,f1224]) ).
fof(f1224,plain,
e22 != op2(e20,e21),
inference(backward_demodulation,[],[f296,f1222]) ).
fof(f296,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f346,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1420,plain,
( spl38_169
| spl38_161
| spl38_29 ),
inference(avatar_split_clause,[],[f1416,f745,f1369,f1418]) ).
fof(f1416,plain,
( e20 = h2(e11)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f1415,f234]) ).
fof(f1415,plain,
( e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(subsumption_resolution,[],[f350,f1237]) ).
fof(f350,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1414,plain,
( spl38_167
| spl38_168
| spl38_29 ),
inference(avatar_split_clause,[],[f1406,f745,f1411,f1408]) ).
fof(f1406,plain,
( e20 = h2(e11)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f1405,f234]) ).
fof(f1405,plain,
( e20 = op2(e23,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f351,f1235]) ).
fof(f351,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1398,plain,
( spl38_165
| spl38_159
| spl38_24 ),
inference(avatar_split_clause,[],[f1393,f726,f1361,f1395]) ).
fof(f1393,plain,
( e21 = h2(e11)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21) ),
inference(forward_demodulation,[],[f1392,f234]) ).
fof(f1392,plain,
( e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f353,f1218]) ).
fof(f353,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1385,plain,
( spl38_163
| spl38_147
| spl38_138
| spl38_111 ),
inference(avatar_split_clause,[],[f1381,f1047,f1268,f1310,f1383]) ).
fof(f1381,plain,
( e23 = h2(e11)
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f356,f234]) ).
fof(f356,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1363,plain,
( spl38_158
| spl38_159
| spl38_157 ),
inference(avatar_split_clause,[],[f1356,f1352,f1361,f1358]) ).
fof(f1356,plain,
( e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f1355,f196]) ).
fof(f1355,plain,
( e20 = e21
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[],[f360,f1232]) ).
fof(f360,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1354,plain,
( spl38_155
| spl38_156
| spl38_157 ),
inference(avatar_split_clause,[],[f1344,f1352,f1349,f1346]) ).
fof(f1344,plain,
( e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(subsumption_resolution,[],[f361,f1217]) ).
fof(f361,plain,
( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1343,plain,
( spl38_154
| spl38_153 ),
inference(avatar_split_clause,[],[f1339,f1334,f1341]) ).
fof(f1339,plain,
( e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f1338,f197]) ).
fof(f1338,plain,
( e20 = e22
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f1337,f1232]) ).
fof(f1337,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f362,f1226]) ).
fof(f362,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1325,plain,
( spl38_148
| spl38_149
| spl38_150 ),
inference(avatar_split_clause,[],[f1315,f1323,f1320,f1317]) ).
fof(f1315,plain,
( e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f1314,f198]) ).
fof(f1314,plain,
( e20 = e23
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(forward_demodulation,[],[f364,f1232]) ).
fof(f364,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1292,plain,
( spl38_141
| spl38_142 ),
inference(avatar_split_clause,[],[f1285,f1290,f1287]) ).
fof(f1285,plain,
( e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f1284,f197]) ).
fof(f1284,plain,
( e20 = e22
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f1283,f1232]) ).
fof(f1283,plain,
( e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f1282,f199]) ).
fof(f1282,plain,
( e21 = e22
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f371,f337]) ).
fof(f371,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1281,plain,
( spl38_139
| spl38_140 ),
inference(avatar_split_clause,[],[f1274,f1279,f1276]) ).
fof(f1274,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1273,f201]) ).
fof(f1273,plain,
( e22 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f1272,f1222]) ).
fof(f1272,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1271,f200]) ).
fof(f1271,plain,
( e21 = e23
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f372,f337]) ).
fof(f372,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1229,plain,
~ spl38_108,
inference(avatar_split_clause,[],[f1225,f1032]) ).
fof(f1225,plain,
e22 != h2(e11),
inference(backward_demodulation,[],[f1199,f1222]) ).
fof(f1199,plain,
op2(e23,e21) != h2(e11),
inference(forward_demodulation,[],[f298,f234]) ).
fof(f298,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f952,plain,
( ~ spl38_65
| ~ spl38_66
| ~ spl38_67
| ~ spl38_68
| ~ spl38_69
| ~ spl38_70
| ~ spl38_71
| ~ spl38_72
| ~ spl38_73
| ~ spl38_74
| ~ spl38_75
| ~ spl38_76
| ~ spl38_77
| ~ spl38_78
| ~ spl38_79
| ~ spl38_80
| spl38_16
| spl38_11
| ~ spl38_81
| ~ spl38_86 ),
inference(avatar_split_clause,[],[f175,f950,f931,f677,f696,f926,f923,f920,f917,f914,f911,f908,f905,f902,f899,f896,f893,f890,f887,f884,f881]) ).
fof(f696,plain,
( spl38_16
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_16])]) ).
fof(f677,plain,
( spl38_11
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_11])]) ).
fof(f175,plain,
( e23 != h3(e12)
| e22 != h3(e13)
| sP5
| sP4
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| sP7
| sP6
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| sP5
| sP4
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| sP3
| sP2
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f850,plain,
( ~ spl38_41
| ~ spl38_42
| ~ spl38_43
| ~ spl38_44
| ~ spl38_45
| ~ spl38_46
| ~ spl38_47
| ~ spl38_48
| ~ spl38_49
| ~ spl38_50
| ~ spl38_51
| ~ spl38_52
| ~ spl38_53
| ~ spl38_54
| ~ spl38_55
| ~ spl38_56
| spl38_6
| spl38_1
| ~ spl38_59
| ~ spl38_58 ),
inference(avatar_split_clause,[],[f194,f844,f848,f639,f658,f836,f833,f830,f827,f824,f821,f818,f815,f812,f809,f806,f803,f800,f797,f794,f791]) ).
fof(f658,plain,
( spl38_6
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_6])]) ).
fof(f639,plain,
( spl38_1
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl38_1])]) ).
fof(f194,plain,
( e23 != h4(e13)
| e22 != h4(e12)
| sP7
| sP6
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f713,plain,
( ~ spl38_16
| ~ spl38_20 ),
inference(avatar_split_clause,[],[f112,f711,f696]) ).
fof(f112,plain,
( e20 != h3(e10)
| ~ sP4 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f690,plain,
( ~ spl38_11
| ~ spl38_14 ),
inference(avatar_split_clause,[],[f109,f688,f677]) ).
fof(f109,plain,
( e21 != h3(e11)
| ~ sP5 ),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f675,plain,
( ~ spl38_6
| ~ spl38_10 ),
inference(avatar_split_clause,[],[f104,f673,f658]) ).
fof(f104,plain,
( e20 != h4(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f652,plain,
( ~ spl38_1
| ~ spl38_4 ),
inference(avatar_split_clause,[],[f101,f650,f639]) ).
fof(f101,plain,
( e21 != h4(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ALG106+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.13 % Command : run_vampire %s %d SAT
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 17:02:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (11302)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.22/0.43 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11301)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.22/0.43 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11304)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.22/0.43 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11300)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:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.22/0.43 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11305)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.22/0.43 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43 % (11303)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.22/0.44 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.44 % (11299)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.22/0.46 Detected minimum model sizes of [8]
% 0.22/0.46 Detected maximum model sizes of [max]
% 0.22/0.47 Detected minimum model sizes of [8]
% 0.22/0.47 Detected maximum model sizes of [max]
% 0.22/0.48 TRYING [23]
% 0.22/0.48 TRYING [8]
% 0.22/0.48 Detected minimum model sizes of [8]
% 0.22/0.48 Detected maximum model sizes of [max]
% 0.22/0.49 TRYING [10]
% 0.22/0.49 % (11303)Instruction limit reached!
% 0.22/0.49 % (11303)------------------------------
% 0.22/0.49 % (11303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (11303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (11303)Termination reason: Time limit
% 0.22/0.49 % (11303)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (11303)Memory used [KB]: 2524
% 0.22/0.49 % (11303)Time elapsed: 0.055 s
% 0.22/0.49 % (11303)Instructions burned: 104 (million)
% 0.22/0.49 % (11305)Instruction limit reached!
% 0.22/0.49 % (11305)------------------------------
% 0.22/0.49 % (11305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.49 % (11305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.49 % (11305)Termination reason: Time limit
% 0.22/0.49 % (11305)Termination phase: Saturation
% 0.22/0.49
% 0.22/0.49 % (11305)Memory used [KB]: 3030
% 0.22/0.49 % (11305)Time elapsed: 0.059 s
% 0.22/0.49 % (11305)Instructions burned: 115 (million)
% 0.22/0.50 % (11304)First to succeed.
% 0.22/0.52 % (11304)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11297"
% 0.22/0.52 % (11297)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.52 % (11304)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Theorem for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.53 % (11304)------------------------------
% 0.22/0.53 % (11304)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.22/0.53 % (11304)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.22/0.53 % (11304)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (11304)Memory used [KB]: 2022
% 0.22/0.53 % (11304)Time elapsed: 0.089 s
% 0.22/0.53 % (11304)Instructions burned: 162 (million)
% 0.22/0.53 % (11304)------------------------------
% 0.22/0.53 % (11304)------------------------------
% 0.22/0.53 % (11297)Success in time 0.142 s
%------------------------------------------------------------------------------