TSTP Solution File: ALG124+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:54 EDT 2022
% Result : Theorem 3.06s 0.79s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 171
% Syntax : Number of formulae : 776 ( 127 unt; 0 def)
% Number of atoms : 3712 (2531 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 4665 (1729 ~;1951 |; 851 &)
% ( 134 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 156 ( 154 usr; 155 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3249,plain,
$false,
inference(avatar_sat_refutation,[],[f676,f694,f780,f861,f890,f899,f925,f963,f973,f1086,f1100,f1191,f1192,f1266,f1287,f1302,f1324,f1339,f1349,f1383,f1473,f1478,f1502,f1508,f1509,f1515,f1524,f1541,f1554,f1559,f1566,f1568,f1597,f1608,f1657,f1670,f1692,f1695,f1697,f1710,f1715,f1723,f1726,f1761,f1762,f1763,f1772,f1773,f1778,f1790,f1797,f1800,f1804,f1809,f1832,f1834,f1843,f1859,f1866,f1939,f1959,f1962,f1969,f1996,f2003,f2005,f2007,f2026,f2027,f2045,f2046,f2055,f2065,f2066,f2067,f2068,f2069,f2072,f2092,f2093,f2095,f2116,f2124,f2152,f2184,f2192,f2193,f2196,f2217,f2228,f2250,f2253,f2261,f2268,f2305,f2329,f2331,f2334,f2338,f2347,f2350,f2361,f2374,f2389,f2391,f2419,f2420,f2421,f2426,f2433,f2434,f2436,f2464,f2501,f2529,f2582,f2599,f2606,f2610,f2655,f2721,f2724,f2731,f2740,f2756,f2797,f2800,f2830,f2834,f2842,f2892,f2894,f2900,f2956,f2967,f2995,f3001,f3015,f3021,f3031,f3040,f3053,f3063,f3068,f3078,f3091,f3101,f3105,f3125,f3130,f3151,f3166,f3184,f3195,f3222]) ).
fof(f3222,plain,
( ~ spl20_78
| ~ spl20_93 ),
inference(avatar_contradiction_clause,[],[f3221]) ).
fof(f3221,plain,
( $false
| ~ spl20_78
| ~ spl20_93 ),
inference(subsumption_resolution,[],[f3220,f860]) ).
fof(f860,plain,
( e10 = op1(e12,e12)
| ~ spl20_78 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl20_78
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f3220,plain,
( e10 != op1(e12,e12)
| ~ spl20_93 ),
inference(forward_demodulation,[],[f385,f929]) ).
fof(f929,plain,
( e10 = op1(e13,e12)
| ~ spl20_93 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl20_93
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f385,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e11,e10) != op1(e11,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e13,e10) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e11,e11) != op1(e11,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3195,plain,
( ~ spl20_78
| ~ spl20_243 ),
inference(avatar_split_clause,[],[f3194,f1734,f858]) ).
fof(f1734,plain,
( spl20_243
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_243])]) ).
fof(f3194,plain,
( e10 != op1(e12,e12)
| ~ spl20_243 ),
inference(forward_demodulation,[],[f404,f1735]) ).
fof(f1735,plain,
( e10 = op1(e12,e11)
| ~ spl20_243 ),
inference(avatar_component_clause,[],[f1734]) ).
fof(f404,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3184,plain,
( ~ spl20_177
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f3161,f1743,f1314]) ).
fof(f1314,plain,
( spl20_177
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_177])]) ).
fof(f1743,plain,
( spl20_244
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_244])]) ).
fof(f3161,plain,
( e12 != op1(e11,e10)
| ~ spl20_244 ),
inference(forward_demodulation,[],[f363,f1745]) ).
fof(f1745,plain,
( e12 = op1(e13,e10)
| ~ spl20_244 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f363,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3166,plain,
( ~ spl20_127
| ~ spl20_243 ),
inference(avatar_contradiction_clause,[],[f3165]) ).
fof(f3165,plain,
( $false
| ~ spl20_127
| ~ spl20_243 ),
inference(subsumption_resolution,[],[f3164,f1095]) ).
fof(f1095,plain,
( e10 = op1(e11,e11)
| ~ spl20_127 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1093,plain,
( spl20_127
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_127])]) ).
fof(f3164,plain,
( e10 != op1(e11,e11)
| ~ spl20_243 ),
inference(forward_demodulation,[],[f380,f1735]) ).
fof(f380,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3151,plain,
( ~ spl20_10
| ~ spl20_18 ),
inference(avatar_contradiction_clause,[],[f3150]) ).
fof(f3150,plain,
( $false
| ~ spl20_10
| ~ spl20_18 ),
inference(subsumption_resolution,[],[f3149,f189]) ).
fof(f189,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e13
& e10 != e11
& e12 != e13
& e10 != e13
& e10 != e12
& e11 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f3149,plain,
( e12 = e13
| ~ spl20_10
| ~ spl20_18 ),
inference(forward_demodulation,[],[f585,f550]) ).
fof(f550,plain,
( e13 = op1(e13,e11)
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f548,plain,
( spl20_10
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f585,plain,
( e12 = op1(e13,e11)
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f583,plain,
( spl20_18
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f3130,plain,
( ~ spl20_182
| ~ spl20_221 ),
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3129,plain,
( $false
| ~ spl20_182
| ~ spl20_221 ),
inference(subsumption_resolution,[],[f3128,f116]) ).
fof(f116,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e21 != e22
& e20 != e21
& e22 != e23
& e21 != e23
& e20 != e22
& e20 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f3128,plain,
( e20 = e21
| ~ spl20_182
| ~ spl20_221 ),
inference(forward_demodulation,[],[f1343,f1547]) ).
fof(f1547,plain,
( e21 = op2(e20,e21)
| ~ spl20_221 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1545,plain,
( spl20_221
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_221])]) ).
fof(f1343,plain,
( e20 = op2(e20,e21)
| ~ spl20_182 ),
inference(avatar_component_clause,[],[f1342]) ).
fof(f1342,plain,
( spl20_182
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).
fof(f3125,plain,
( ~ spl20_102
| ~ spl20_221 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3124,plain,
( $false
| ~ spl20_102
| ~ spl20_221 ),
inference(subsumption_resolution,[],[f3123,f1547]) ).
fof(f3123,plain,
( e21 != op2(e20,e21)
| ~ spl20_102 ),
inference(forward_demodulation,[],[f103,f979]) ).
fof(f979,plain,
( e21 = op2(e20,e23)
| ~ spl20_102 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl20_102
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f103,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e21,e23) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e23,e21) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e22,e21)
& op2(e23,e22) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e23) != op2(e22,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f3105,plain,
( ~ spl20_73
| ~ spl20_240 ),
inference(avatar_split_clause,[],[f2676,f1686,f837]) ).
fof(f837,plain,
( spl20_73
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f1686,plain,
( spl20_240
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_240])]) ).
fof(f2676,plain,
( e22 != op2(e20,e23)
| ~ spl20_240 ),
inference(forward_demodulation,[],[f85,f1687]) ).
fof(f1687,plain,
( e22 = op2(e22,e23)
| ~ spl20_240 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f85,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3101,plain,
( spl20_146
| ~ spl20_171
| ~ spl20_217
| ~ spl20_221
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3100]) ).
fof(f3100,plain,
( $false
| spl20_146
| ~ spl20_171
| ~ spl20_217
| ~ spl20_221
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f3099,f1547]) ).
fof(f3099,plain,
( e21 != op2(e20,e21)
| spl20_146
| ~ spl20_171
| ~ spl20_217
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3098,f1668]) ).
fof(f1668,plain,
( e21 = h1(e11)
| ~ spl20_237 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl20_237
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_237])]) ).
fof(f3098,plain,
( op2(e20,e21) != h1(e11)
| spl20_146
| ~ spl20_171
| ~ spl20_217
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3097,f1523]) ).
fof(f1523,plain,
( e11 = op1(e10,e11)
| ~ spl20_217 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f1521,plain,
( spl20_217
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_217])]) ).
fof(f3097,plain,
( op2(e20,e21) != h1(op1(e10,e11))
| spl20_146
| ~ spl20_171
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3096,f1285]) ).
fof(f1285,plain,
( e20 = h1(e10)
| ~ spl20_171 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1284,plain,
( spl20_171
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_171])]) ).
fof(f3096,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| spl20_146
| ~ spl20_237 ),
inference(forward_demodulation,[],[f1174,f1668]) ).
fof(f1174,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl20_146 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1172,plain,
( spl20_146
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f3091,plain,
( ~ spl20_6
| ~ spl20_38
| spl20_147
| ~ spl20_180
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3090]) ).
fof(f3090,plain,
( $false
| ~ spl20_6
| ~ spl20_38
| spl20_147
| ~ spl20_180
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f3089,f1334]) ).
fof(f1334,plain,
( e23 = op2(e21,e23)
| ~ spl20_180 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1332,plain,
( spl20_180
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).
fof(f3089,plain,
( e23 != op2(e21,e23)
| ~ spl20_6
| ~ spl20_38
| spl20_147
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3088,f674]) ).
fof(f674,plain,
( e23 = h1(e13)
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl20_38
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f3088,plain,
( op2(e21,e23) != h1(e13)
| ~ spl20_6
| ~ spl20_38
| spl20_147
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3087,f533]) ).
fof(f533,plain,
( e13 = op1(e11,e13)
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl20_6
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f3087,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| ~ spl20_38
| spl20_147
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3086,f1668]) ).
fof(f3086,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| ~ spl20_38
| spl20_147 ),
inference(forward_demodulation,[],[f1178,f674]) ).
fof(f1178,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl20_147 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl20_147
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f3078,plain,
( ~ spl20_105
| spl20_145
| ~ spl20_176
| ~ spl20_210
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| ~ spl20_105
| spl20_145
| ~ spl20_176
| ~ spl20_210
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f3076,f1310]) ).
fof(f1310,plain,
( e21 = op2(e21,e22)
| ~ spl20_176 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl20_176
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_176])]) ).
fof(f3076,plain,
( e21 != op2(e21,e22)
| ~ spl20_105
| spl20_145
| ~ spl20_210
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3075,f1668]) ).
fof(f3075,plain,
( op2(e21,e22) != h1(e11)
| ~ spl20_105
| spl20_145
| ~ spl20_210
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3074,f991]) ).
fof(f991,plain,
( e11 = op1(e11,e12)
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f990]) ).
fof(f990,plain,
( spl20_105
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f3074,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| spl20_145
| ~ spl20_210
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3073,f1668]) ).
fof(f3073,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| spl20_145
| ~ spl20_210 ),
inference(forward_demodulation,[],[f1170,f1476]) ).
fof(f1476,plain,
( e22 = h1(e12)
| ~ spl20_210 ),
inference(avatar_component_clause,[],[f1475]) ).
fof(f1475,plain,
( spl20_210
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_210])]) ).
fof(f1170,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl20_145 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl20_145
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f3068,plain,
( ~ spl20_38
| ~ spl20_43
| spl20_143
| ~ spl20_171 ),
inference(avatar_contradiction_clause,[],[f3067]) ).
fof(f3067,plain,
( $false
| ~ spl20_38
| ~ spl20_43
| spl20_143
| ~ spl20_171 ),
inference(subsumption_resolution,[],[f3066,f503]) ).
fof(f503,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( op2(e20,e20) = e23
& e22 = op2(op2(e20,e20),e20)
& e21 = op2(op2(op2(e20,e20),e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f3066,plain,
( op2(e20,e20) != e23
| ~ spl20_38
| ~ spl20_43
| spl20_143
| ~ spl20_171 ),
inference(forward_demodulation,[],[f3065,f674]) ).
fof(f3065,plain,
( op2(e20,e20) != h1(e13)
| ~ spl20_43
| spl20_143
| ~ spl20_171 ),
inference(forward_demodulation,[],[f3064,f698]) ).
fof(f698,plain,
( op1(e10,e10) = e13
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl20_43
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f3064,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| spl20_143
| ~ spl20_171 ),
inference(forward_demodulation,[],[f1162,f1285]) ).
fof(f1162,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl20_143 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1160,plain,
( spl20_143
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f3063,plain,
( ~ spl20_38
| ~ spl20_124
| spl20_141
| ~ spl20_171
| ~ spl20_210
| ~ spl20_244 ),
inference(avatar_contradiction_clause,[],[f3062]) ).
fof(f3062,plain,
( $false
| ~ spl20_38
| ~ spl20_124
| spl20_141
| ~ spl20_171
| ~ spl20_210
| ~ spl20_244 ),
inference(subsumption_resolution,[],[f3061,f1080]) ).
fof(f1080,plain,
( e22 = op2(e23,e20)
| ~ spl20_124 ),
inference(avatar_component_clause,[],[f1078]) ).
fof(f1078,plain,
( spl20_124
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).
fof(f3061,plain,
( e22 != op2(e23,e20)
| ~ spl20_38
| spl20_141
| ~ spl20_171
| ~ spl20_210
| ~ spl20_244 ),
inference(forward_demodulation,[],[f3060,f1476]) ).
fof(f3060,plain,
( op2(e23,e20) != h1(e12)
| ~ spl20_38
| spl20_141
| ~ spl20_171
| ~ spl20_244 ),
inference(forward_demodulation,[],[f3059,f1745]) ).
fof(f3059,plain,
( op2(e23,e20) != h1(op1(e13,e10))
| ~ spl20_38
| spl20_141
| ~ spl20_171 ),
inference(forward_demodulation,[],[f3058,f674]) ).
fof(f3058,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| spl20_141
| ~ spl20_171 ),
inference(forward_demodulation,[],[f1154,f1285]) ).
fof(f1154,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl20_141 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f1152,plain,
( spl20_141
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f3053,plain,
( ~ spl20_38
| spl20_140
| ~ spl20_171
| ~ spl20_189
| ~ spl20_218 ),
inference(avatar_contradiction_clause,[],[f3052]) ).
fof(f3052,plain,
( $false
| ~ spl20_38
| spl20_140
| ~ spl20_171
| ~ spl20_189
| ~ spl20_218 ),
inference(subsumption_resolution,[],[f3051,f1382]) ).
fof(f1382,plain,
( e20 = op2(e20,e23)
| ~ spl20_189 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl20_189
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f3051,plain,
( e20 != op2(e20,e23)
| ~ spl20_38
| spl20_140
| ~ spl20_171
| ~ spl20_218 ),
inference(forward_demodulation,[],[f3050,f1285]) ).
fof(f3050,plain,
( op2(e20,e23) != h1(e10)
| ~ spl20_38
| spl20_140
| ~ spl20_171
| ~ spl20_218 ),
inference(forward_demodulation,[],[f3049,f1528]) ).
fof(f1528,plain,
( e10 = op1(e10,e13)
| ~ spl20_218 ),
inference(avatar_component_clause,[],[f1526]) ).
fof(f1526,plain,
( spl20_218
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_218])]) ).
fof(f3049,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| ~ spl20_38
| spl20_140
| ~ spl20_171 ),
inference(forward_demodulation,[],[f3048,f1285]) ).
fof(f3048,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| ~ spl20_38
| spl20_140 ),
inference(forward_demodulation,[],[f1150,f674]) ).
fof(f1150,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl20_140 ),
inference(avatar_component_clause,[],[f1148]) ).
fof(f1148,plain,
( spl20_140
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_140])]) ).
fof(f3040,plain,
( ~ spl20_11
| ~ spl20_38
| ~ spl20_70
| ~ spl20_130
| spl20_139
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3039]) ).
fof(f3039,plain,
( $false
| ~ spl20_11
| ~ spl20_38
| ~ spl20_70
| ~ spl20_130
| spl20_139
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f3038,f2950]) ).
fof(f2950,plain,
( e21 = op2(e23,e23)
| ~ spl20_70
| ~ spl20_130 ),
inference(backward_demodulation,[],[f2858,f822]) ).
fof(f822,plain,
( e21 = h4(e11)
| ~ spl20_70 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f821,plain,
( spl20_70
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f2858,plain,
( op2(e23,e23) = h4(e11)
| ~ spl20_130 ),
inference(backward_demodulation,[],[f1496,f1108]) ).
fof(f1108,plain,
( e23 = h4(e12)
| ~ spl20_130 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1107,plain,
( spl20_130
<=> e23 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).
fof(f1496,plain,
h4(e11) = op2(h4(e12),e23),
inference(forward_demodulation,[],[f1495,f944]) ).
fof(f944,plain,
h4(e12) = op2(h4(e13),e23),
inference(backward_demodulation,[],[f507,f506]) ).
fof(f506,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e12)
& op2(e23,e23) = h4(e13)
& h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& e23 = h4(e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f507,plain,
op2(op2(e23,e23),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1495,plain,
h4(e11) = op2(op2(h4(e13),e23),e23),
inference(forward_demodulation,[],[f505,f506]) ).
fof(f505,plain,
h4(e11) = op2(op2(op2(e23,e23),e23),e23),
inference(cnf_transformation,[],[f17]) ).
fof(f3038,plain,
( e21 != op2(e23,e23)
| ~ spl20_11
| ~ spl20_38
| spl20_139
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3037,f1668]) ).
fof(f3037,plain,
( op2(e23,e23) != h1(e11)
| ~ spl20_11
| ~ spl20_38
| spl20_139 ),
inference(forward_demodulation,[],[f3036,f553]) ).
fof(f553,plain,
( e11 = op1(e13,e13)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl20_11
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f3036,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| ~ spl20_38
| spl20_139 ),
inference(forward_demodulation,[],[f1146,f674]) ).
fof(f1146,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl20_139 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1144,plain,
( spl20_139
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_139])]) ).
fof(f3031,plain,
( ~ spl20_38
| ~ spl20_54
| ~ spl20_93
| spl20_138
| ~ spl20_171
| ~ spl20_210 ),
inference(avatar_contradiction_clause,[],[f3030]) ).
fof(f3030,plain,
( $false
| ~ spl20_38
| ~ spl20_54
| ~ spl20_93
| spl20_138
| ~ spl20_171
| ~ spl20_210 ),
inference(subsumption_resolution,[],[f3029,f748]) ).
fof(f748,plain,
( e20 = op2(e23,e22)
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f746,plain,
( spl20_54
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f3029,plain,
( e20 != op2(e23,e22)
| ~ spl20_38
| ~ spl20_93
| spl20_138
| ~ spl20_171
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3028,f1285]) ).
fof(f3028,plain,
( op2(e23,e22) != h1(e10)
| ~ spl20_38
| ~ spl20_93
| spl20_138
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3027,f929]) ).
fof(f3027,plain,
( op2(e23,e22) != h1(op1(e13,e12))
| ~ spl20_38
| spl20_138
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3026,f674]) ).
fof(f3026,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e22)
| spl20_138
| ~ spl20_210 ),
inference(forward_demodulation,[],[f1142,f1476]) ).
fof(f1142,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl20_138 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl20_138
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).
fof(f3021,plain,
( ~ spl20_38
| ~ spl20_129
| spl20_137
| ~ spl20_210
| ~ spl20_240 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3020,plain,
( $false
| ~ spl20_38
| ~ spl20_129
| spl20_137
| ~ spl20_210
| ~ spl20_240 ),
inference(subsumption_resolution,[],[f3019,f1687]) ).
fof(f3019,plain,
( e22 != op2(e22,e23)
| ~ spl20_38
| ~ spl20_129
| spl20_137
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3018,f1476]) ).
fof(f3018,plain,
( op2(e22,e23) != h1(e12)
| ~ spl20_38
| ~ spl20_129
| spl20_137
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3017,f1104]) ).
fof(f1104,plain,
( e12 = op1(e12,e13)
| ~ spl20_129 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl20_129
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).
fof(f3017,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| ~ spl20_38
| spl20_137
| ~ spl20_210 ),
inference(forward_demodulation,[],[f3016,f1476]) ).
fof(f3016,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| ~ spl20_38
| spl20_137 ),
inference(forward_demodulation,[],[f1138,f674]) ).
fof(f1138,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl20_137 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1136,plain,
( spl20_137
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_137])]) ).
fof(f3015,plain,
( ~ spl20_42
| ~ spl20_87
| spl20_136
| ~ spl20_171
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3014]) ).
fof(f3014,plain,
( $false
| ~ spl20_42
| ~ spl20_87
| spl20_136
| ~ spl20_171
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f3013,f693]) ).
fof(f693,plain,
( e20 = op2(e21,e20)
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f691,plain,
( spl20_42
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f3013,plain,
( e20 != op2(e21,e20)
| ~ spl20_87
| spl20_136
| ~ spl20_171
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3012,f1285]) ).
fof(f3012,plain,
( op2(e21,e20) != h1(e10)
| ~ spl20_87
| spl20_136
| ~ spl20_171
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3011,f903]) ).
fof(f903,plain,
( e10 = op1(e11,e10)
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f901,plain,
( spl20_87
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f3011,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| spl20_136
| ~ spl20_171
| ~ spl20_237 ),
inference(forward_demodulation,[],[f3010,f1668]) ).
fof(f3010,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| spl20_136
| ~ spl20_171 ),
inference(forward_demodulation,[],[f1134,f1285]) ).
fof(f1134,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl20_136 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl20_136
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).
fof(f3001,plain,
( spl20_135
| ~ spl20_171
| ~ spl20_210
| ~ spl20_220
| ~ spl20_225
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f3000]) ).
fof(f3000,plain,
( $false
| spl20_135
| ~ spl20_171
| ~ spl20_210
| ~ spl20_220
| ~ spl20_225
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f2999,f1572]) ).
fof(f1572,plain,
( e21 = op2(e22,e20)
| ~ spl20_225 ),
inference(avatar_component_clause,[],[f1570]) ).
fof(f1570,plain,
( spl20_225
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_225])]) ).
fof(f2999,plain,
( e21 != op2(e22,e20)
| spl20_135
| ~ spl20_171
| ~ spl20_210
| ~ spl20_220
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2998,f1668]) ).
fof(f2998,plain,
( op2(e22,e20) != h1(e11)
| spl20_135
| ~ spl20_171
| ~ spl20_210
| ~ spl20_220 ),
inference(forward_demodulation,[],[f2997,f1537]) ).
fof(f1537,plain,
( e11 = op1(e12,e10)
| ~ spl20_220 ),
inference(avatar_component_clause,[],[f1535]) ).
fof(f1535,plain,
( spl20_220
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_220])]) ).
fof(f2997,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| spl20_135
| ~ spl20_171
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2996,f1476]) ).
fof(f2996,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| spl20_135
| ~ spl20_171 ),
inference(forward_demodulation,[],[f1130,f1285]) ).
fof(f1130,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl20_135 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1128,plain,
( spl20_135
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).
fof(f2995,plain,
( ~ spl20_10
| ~ spl20_38
| spl20_134
| ~ spl20_168
| ~ spl20_237 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
fof(f2994,plain,
( $false
| ~ spl20_10
| ~ spl20_38
| spl20_134
| ~ spl20_168
| ~ spl20_237 ),
inference(subsumption_resolution,[],[f2993,f1271]) ).
fof(f1271,plain,
( e23 = op2(e23,e21)
| ~ spl20_168 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1269,plain,
( spl20_168
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_168])]) ).
fof(f2993,plain,
( e23 != op2(e23,e21)
| ~ spl20_10
| ~ spl20_38
| spl20_134
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2992,f674]) ).
fof(f2992,plain,
( op2(e23,e21) != h1(e13)
| ~ spl20_10
| ~ spl20_38
| spl20_134
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2991,f550]) ).
fof(f2991,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| ~ spl20_38
| spl20_134
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2990,f674]) ).
fof(f2990,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| spl20_134
| ~ spl20_237 ),
inference(forward_demodulation,[],[f1126,f1668]) ).
fof(f1126,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl20_134 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl20_134
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).
fof(f2967,plain,
( spl20_133
| ~ spl20_171
| ~ spl20_210
| ~ spl20_226
| ~ spl20_237
| ~ spl20_243 ),
inference(avatar_contradiction_clause,[],[f2966]) ).
fof(f2966,plain,
( $false
| spl20_133
| ~ spl20_171
| ~ spl20_210
| ~ spl20_226
| ~ spl20_237
| ~ spl20_243 ),
inference(subsumption_resolution,[],[f2965,f1575]) ).
fof(f1575,plain,
( e20 = op2(e22,e21)
| ~ spl20_226 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl20_226
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f2965,plain,
( e20 != op2(e22,e21)
| spl20_133
| ~ spl20_171
| ~ spl20_210
| ~ spl20_237
| ~ spl20_243 ),
inference(forward_demodulation,[],[f2964,f1285]) ).
fof(f2964,plain,
( op2(e22,e21) != h1(e10)
| spl20_133
| ~ spl20_210
| ~ spl20_237
| ~ spl20_243 ),
inference(forward_demodulation,[],[f2963,f1735]) ).
fof(f2963,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| spl20_133
| ~ spl20_210
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2962,f1476]) ).
fof(f2962,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e21)
| spl20_133
| ~ spl20_237 ),
inference(forward_demodulation,[],[f1122,f1668]) ).
fof(f1122,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl20_133 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl20_133
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_133])]) ).
fof(f2956,plain,
( ~ spl20_38
| ~ spl20_77
| spl20_132
| ~ spl20_209
| ~ spl20_210 ),
inference(avatar_contradiction_clause,[],[f2955]) ).
fof(f2955,plain,
( $false
| ~ spl20_38
| ~ spl20_77
| spl20_132
| ~ spl20_209
| ~ spl20_210 ),
inference(subsumption_resolution,[],[f2954,f2758]) ).
fof(f2758,plain,
( e23 = op2(e22,e22)
| ~ spl20_209 ),
inference(backward_demodulation,[],[f183,f1472]) ).
fof(f1472,plain,
( e23 = h3(e13)
| ~ spl20_209 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1470,plain,
( spl20_209
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_209])]) ).
fof(f183,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e12)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22)
& op2(e22,e22) = h3(e13)
& e22 = h3(e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f2954,plain,
( e23 != op2(e22,e22)
| ~ spl20_38
| ~ spl20_77
| spl20_132
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2953,f674]) ).
fof(f2953,plain,
( op2(e22,e22) != h1(e13)
| ~ spl20_77
| spl20_132
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2952,f856]) ).
fof(f856,plain,
( e13 = op1(e12,e12)
| ~ spl20_77 ),
inference(avatar_component_clause,[],[f854]) ).
fof(f854,plain,
( spl20_77
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f2952,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| spl20_132
| ~ spl20_210 ),
inference(forward_demodulation,[],[f1118,f1476]) ).
fof(f1118,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl20_132 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1116,plain,
( spl20_132
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_132])]) ).
fof(f2900,plain,
( ~ spl20_58
| ~ spl20_92
| spl20_144
| ~ spl20_171
| ~ spl20_210 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
fof(f2899,plain,
( $false
| ~ spl20_58
| ~ spl20_92
| spl20_144
| ~ spl20_171
| ~ spl20_210 ),
inference(subsumption_resolution,[],[f2623,f766]) ).
fof(f766,plain,
( e22 = op2(e20,e22)
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f764,plain,
( spl20_58
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f2623,plain,
( e22 != op2(e20,e22)
| ~ spl20_92
| spl20_144
| ~ spl20_171
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2622,f1476]) ).
fof(f2622,plain,
( op2(e20,e22) != h1(e12)
| ~ spl20_92
| spl20_144
| ~ spl20_171
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2621,f924]) ).
fof(f924,plain,
( e12 = op1(e10,e12)
| ~ spl20_92 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f922,plain,
( spl20_92
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f2621,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| spl20_144
| ~ spl20_171
| ~ spl20_210 ),
inference(forward_demodulation,[],[f2620,f1285]) ).
fof(f2620,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| spl20_144
| ~ spl20_210 ),
inference(forward_demodulation,[],[f1166,f1476]) ).
fof(f1166,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl20_144 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl20_144
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f2894,plain,
( ~ spl20_247
| ~ spl20_225 ),
inference(avatar_split_clause,[],[f2893,f1570,f1766]) ).
fof(f1766,plain,
( spl20_247
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_247])]) ).
fof(f2893,plain,
( e21 != op2(e22,e21)
| ~ spl20_225 ),
inference(forward_demodulation,[],[f88,f1572]) ).
fof(f88,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2892,plain,
( spl20_70
| ~ spl20_104
| ~ spl20_130 ),
inference(avatar_split_clause,[],[f2891,f1107,f985,f821]) ).
fof(f985,plain,
( spl20_104
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f2891,plain,
( e21 = h4(e11)
| ~ spl20_104
| ~ spl20_130 ),
inference(forward_demodulation,[],[f2890,f2858]) ).
fof(f2890,plain,
( e21 = op2(e23,e23)
| ~ spl20_104 ),
inference(forward_demodulation,[],[f506,f987]) ).
fof(f987,plain,
( e21 = h4(e13)
| ~ spl20_104 ),
inference(avatar_component_clause,[],[f985]) ).
fof(f2842,plain,
( ~ spl20_185
| ~ spl20_214 ),
inference(avatar_split_clause,[],[f2841,f1505,f1355]) ).
fof(f1355,plain,
( spl20_185
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_185])]) ).
fof(f1505,plain,
( spl20_214
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_214])]) ).
fof(f2841,plain,
( e22 != h2(e13)
| ~ spl20_214 ),
inference(forward_demodulation,[],[f1676,f1507]) ).
fof(f1507,plain,
( e22 = op2(e21,e22)
| ~ spl20_214 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1676,plain,
op2(e21,e22) != h2(e13),
inference(forward_demodulation,[],[f67,f409]) ).
fof(f409,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( h2(e11) = op2(op2(op2(e21,e21),e21),e21)
& op2(op2(e21,e21),e21) = h2(e12)
& op2(e21,e21) = h2(e13)
& e21 = h2(e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f67,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2834,plain,
( ~ spl20_242
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f2832,f691,f1707]) ).
fof(f1707,plain,
( spl20_242
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_242])]) ).
fof(f2832,plain,
( e20 != h2(e13)
| ~ spl20_42 ),
inference(backward_demodulation,[],[f1807,f693]) ).
fof(f1807,plain,
op2(e21,e20) != h2(e13),
inference(forward_demodulation,[],[f81,f409]) ).
fof(f81,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2830,plain,
( spl20_185
| ~ spl20_59 ),
inference(avatar_split_clause,[],[f2829,f769,f1355]) ).
fof(f769,plain,
( spl20_59
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f2829,plain,
( e22 = h2(e13)
| ~ spl20_59 ),
inference(forward_demodulation,[],[f771,f409]) ).
fof(f771,plain,
( e22 = op2(e21,e21)
| ~ spl20_59 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f2800,plain,
( ~ spl20_104
| ~ spl20_252 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| ~ spl20_104
| ~ spl20_252 ),
inference(subsumption_resolution,[],[f2798,f1854]) ).
fof(f1854,plain,
( e21 = op2(e23,e21)
| ~ spl20_252 ),
inference(avatar_component_clause,[],[f1852]) ).
fof(f1852,plain,
( spl20_252
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_252])]) ).
fof(f2798,plain,
( e21 != op2(e23,e21)
| ~ spl20_104 ),
inference(forward_demodulation,[],[f948,f987]) ).
fof(f948,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[],[f87,f506]) ).
fof(f87,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2797,plain,
( ~ spl20_168
| spl20_183
| ~ spl20_252 ),
inference(avatar_contradiction_clause,[],[f2796]) ).
fof(f2796,plain,
( $false
| ~ spl20_168
| spl20_183
| ~ spl20_252 ),
inference(subsumption_resolution,[],[f2795,f1347]) ).
fof(f1347,plain,
( e21 != e23
| spl20_183 ),
inference(avatar_component_clause,[],[f1346]) ).
fof(f1346,plain,
( spl20_183
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f2795,plain,
( e21 = e23
| ~ spl20_168
| ~ spl20_252 ),
inference(forward_demodulation,[],[f1271,f1854]) ).
fof(f2756,plain,
( ~ spl20_30
| ~ spl20_225 ),
inference(avatar_split_clause,[],[f2631,f1570,f636]) ).
fof(f636,plain,
( spl20_30
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f2631,plain,
( e21 != op2(e21,e20)
| ~ spl20_225 ),
inference(forward_demodulation,[],[f80,f1572]) ).
fof(f80,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2740,plain,
( spl20_242
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f2739,f632,f1707]) ).
fof(f632,plain,
( spl20_29
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f2739,plain,
( e20 = h2(e13)
| ~ spl20_29 ),
inference(forward_demodulation,[],[f409,f633]) ).
fof(f633,plain,
( e20 = op2(e21,e21)
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f2731,plain,
( spl20_130
| ~ spl20_104
| ~ spl20_180 ),
inference(avatar_split_clause,[],[f2730,f1332,f985,f1107]) ).
fof(f2730,plain,
( e23 = h4(e12)
| ~ spl20_104
| ~ spl20_180 ),
inference(forward_demodulation,[],[f2725,f1334]) ).
fof(f2725,plain,
( op2(e21,e23) = h4(e12)
| ~ spl20_104 ),
inference(backward_demodulation,[],[f944,f987]) ).
fof(f2724,plain,
( ~ spl20_32
| ~ spl20_226
| spl20_233 ),
inference(avatar_contradiction_clause,[],[f2723]) ).
fof(f2723,plain,
( $false
| ~ spl20_32
| ~ spl20_226
| spl20_233 ),
inference(subsumption_resolution,[],[f2722,f1635]) ).
fof(f1635,plain,
( e20 != e22
| spl20_233 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1633,plain,
( spl20_233
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_233])]) ).
fof(f2722,plain,
( e20 = e22
| ~ spl20_32
| ~ spl20_226 ),
inference(forward_demodulation,[],[f1575,f649]) ).
fof(f649,plain,
( e22 = op2(e22,e21)
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl20_32
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f2721,plain,
( ~ spl20_209
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f2720,f881,f1470]) ).
fof(f881,plain,
( spl20_83
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f2720,plain,
( e23 != h3(e13)
| ~ spl20_83 ),
inference(forward_demodulation,[],[f1776,f883]) ).
fof(f883,plain,
( e23 = op2(e23,e22)
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f1776,plain,
op2(e23,e22) != h3(e13),
inference(forward_demodulation,[],[f107,f183]) ).
fof(f107,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2655,plain,
( spl20_65
| ~ spl20_179
| ~ spl20_240 ),
inference(avatar_contradiction_clause,[],[f2654]) ).
fof(f2654,plain,
( $false
| spl20_65
| ~ spl20_179
| ~ spl20_240 ),
inference(subsumption_resolution,[],[f2653,f800]) ).
fof(f800,plain,
( e22 != e23
| spl20_65 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl20_65
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f2653,plain,
( e22 = e23
| ~ spl20_179
| ~ spl20_240 ),
inference(forward_demodulation,[],[f1330,f1687]) ).
fof(f1330,plain,
( e23 = op2(e22,e23)
| ~ spl20_179 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1328,plain,
( spl20_179
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_179])]) ).
fof(f2610,plain,
( ~ spl20_190
| ~ spl20_243 ),
inference(avatar_split_clause,[],[f2608,f1734,f1385]) ).
fof(f1385,plain,
( spl20_190
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f2608,plain,
( e10 != op1(e10,e11)
| ~ spl20_243 ),
inference(backward_demodulation,[],[f372,f1735]) ).
fof(f372,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2606,plain,
( ~ spl20_159
| ~ spl20_189 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2605,plain,
( $false
| ~ spl20_159
| ~ spl20_189 ),
inference(subsumption_resolution,[],[f2604,f1382]) ).
fof(f2604,plain,
( e20 != op2(e20,e23)
| ~ spl20_159 ),
inference(forward_demodulation,[],[f949,f1231]) ).
fof(f1231,plain,
( e20 = h4(e13)
| ~ spl20_159 ),
inference(avatar_component_clause,[],[f1230]) ).
fof(f1230,plain,
( spl20_159
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_159])]) ).
fof(f949,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[],[f101,f506]) ).
fof(f101,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2599,plain,
( ~ spl20_182
| ~ spl20_189 ),
inference(avatar_split_clause,[],[f2597,f1380,f1342]) ).
fof(f2597,plain,
( e20 != op2(e20,e21)
| ~ spl20_189 ),
inference(backward_demodulation,[],[f103,f1382]) ).
fof(f2582,plain,
( ~ spl20_221
| ~ spl20_56 ),
inference(avatar_split_clause,[],[f2581,f756,f1545]) ).
fof(f756,plain,
( spl20_56
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f2581,plain,
( e21 != op2(e20,e21)
| ~ spl20_56 ),
inference(backward_demodulation,[],[f96,f758]) ).
fof(f758,plain,
( e21 = op2(e20,e22)
| ~ spl20_56 ),
inference(avatar_component_clause,[],[f756]) ).
fof(f96,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2529,plain,
( ~ spl20_43
| ~ spl20_191 ),
inference(avatar_contradiction_clause,[],[f2528]) ).
fof(f2528,plain,
( $false
| ~ spl20_43
| ~ spl20_191 ),
inference(subsumption_resolution,[],[f2527,f191]) ).
fof(f191,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2527,plain,
( e11 = e13
| ~ spl20_43
| ~ spl20_191 ),
inference(forward_demodulation,[],[f1390,f698]) ).
fof(f1390,plain,
( op1(e10,e10) = e11
| ~ spl20_191 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1389,plain,
( spl20_191
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f2501,plain,
( ~ spl20_94
| ~ spl20_93 ),
inference(avatar_split_clause,[],[f2499,f927,f931]) ).
fof(f931,plain,
( spl20_94
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f2499,plain,
( e10 != op1(e13,e13)
| ~ spl20_93 ),
inference(backward_demodulation,[],[f387,f929]) ).
fof(f387,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2464,plain,
( ~ spl20_97
| ~ spl20_226 ),
inference(avatar_contradiction_clause,[],[f2463]) ).
fof(f2463,plain,
( $false
| ~ spl20_97
| ~ spl20_226 ),
inference(subsumption_resolution,[],[f2462,f595]) ).
fof(f595,plain,
e20 != e23,
inference(backward_demodulation,[],[f310,f503]) ).
fof(f310,plain,
e20 != op2(e20,e20),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e23 != op2(e23,e23)
& e20 != op2(e20,e20)
& e21 != op2(e21,e21)
& ( sP15
| sP14
| sP13
| sP12 )
& e22 != op2(e22,e22) ),
inference(definition_folding,[],[f11,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e20)
| e20 = op2(e22,e23) )
& ( e23 != op2(e21,e20)
| e20 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e21,e22)
| e22 = op2(e21,e23) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e23 != op2(e20,e22)
| e22 = op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e23 != op2(e20,e21)
| e21 = op2(e20,e23) )
& ( e23 != op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e21 != op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e21 != op2(e22,e23)
| e23 = op2(e22,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e20,e21)
| e21 = op2(e20,e22) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e22 != op2(e21,e22)
| e22 = op2(e21,e22) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e22 != op2(e23,e21)
| e21 = op2(e23,e22) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e23,e20)
| e20 = op2(e23,e22) )
& ( e22 != op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e22 != op2(e20,e23)
| e23 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e20 != op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e23,e20)
| e20 = op2(e23,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f11,axiom,
( e23 != op2(e23,e23)
& e20 != op2(e20,e20)
& e21 != op2(e21,e21)
& ( ( ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e20 != op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e23,e20)
| e20 = op2(e23,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) ) )
| ( ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e20,e21)
| e21 = op2(e20,e22) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e22 != op2(e21,e22)
| e22 = op2(e21,e22) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e22 != op2(e23,e21)
| e21 = op2(e23,e22) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e23,e20)
| e20 = op2(e23,e22) )
& ( e22 != op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e22 != op2(e20,e23)
| e23 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ( ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e21 != op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e21 != op2(e22,e23)
| e23 = op2(e22,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e20)
| e20 = op2(e22,e23) )
& ( e23 != op2(e21,e20)
| e20 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e21,e22)
| e22 = op2(e21,e23) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e23 != op2(e20,e22)
| e22 = op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e23 != op2(e20,e21)
| e21 = op2(e20,e23) )
& ( e23 != op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) ) ) )
& e22 != op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2462,plain,
( e20 = e23
| ~ spl20_97
| ~ spl20_226 ),
inference(forward_demodulation,[],[f1575,f952]) ).
fof(f952,plain,
( e23 = op2(e22,e21)
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f951,plain,
( spl20_97
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f2436,plain,
( ~ spl20_125
| ~ spl20_210 ),
inference(avatar_split_clause,[],[f2430,f1475,f1082]) ).
fof(f1082,plain,
( spl20_125
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).
fof(f2430,plain,
( e22 != op2(e23,e22)
| ~ spl20_210 ),
inference(backward_demodulation,[],[f2019,f1476]) ).
fof(f2019,plain,
op2(e23,e22) != h1(e12),
inference(backward_demodulation,[],[f70,f2015]) ).
fof(f2015,plain,
op2(e23,e20) = h1(e12),
inference(forward_demodulation,[],[f484,f503]) ).
fof(f484,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& e20 = h1(e10)
& op2(e20,e20) = h1(e13)
& op2(op2(op2(e20,e20),e20),e20) = h1(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f70,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2434,plain,
( ~ spl20_185
| ~ spl20_86
| spl20_131
| ~ spl20_210
| ~ spl20_237 ),
inference(avatar_split_clause,[],[f2432,f1667,f1475,f1112,f896,f1355]) ).
fof(f896,plain,
( spl20_86
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f1112,plain,
( spl20_131
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f2432,plain,
( e22 != h2(e13)
| ~ spl20_86
| spl20_131
| ~ spl20_210
| ~ spl20_237 ),
inference(backward_demodulation,[],[f2307,f1476]) ).
fof(f2307,plain,
( h1(e12) != h2(e13)
| ~ spl20_86
| spl20_131
| ~ spl20_237 ),
inference(forward_demodulation,[],[f2306,f409]) ).
fof(f2306,plain,
( op2(e21,e21) != h1(e12)
| ~ spl20_86
| spl20_131
| ~ spl20_237 ),
inference(backward_demodulation,[],[f2262,f1668]) ).
fof(f2262,plain,
( h1(e12) != op2(h1(e11),h1(e11))
| ~ spl20_86
| spl20_131 ),
inference(backward_demodulation,[],[f1114,f898]) ).
fof(f898,plain,
( e12 = op1(e11,e11)
| ~ spl20_86 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f1114,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl20_131 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f2433,plain,
( spl20_225
| ~ spl20_210 ),
inference(avatar_split_clause,[],[f2431,f1475,f1570]) ).
fof(f2431,plain,
( e21 = op2(e22,e20)
| ~ spl20_210 ),
inference(backward_demodulation,[],[f2021,f1476]) ).
fof(f2021,plain,
e21 = op2(h1(e12),e20),
inference(backward_demodulation,[],[f735,f2015]) ).
fof(f735,plain,
e21 = op2(op2(e23,e20),e20),
inference(forward_demodulation,[],[f501,f503]) ).
fof(f501,plain,
e21 = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f2426,plain,
( ~ spl20_50
| ~ spl20_244 ),
inference(avatar_split_clause,[],[f2425,f1743,f727]) ).
fof(f727,plain,
( spl20_50
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f2425,plain,
( e12 != op1(e13,e13)
| ~ spl20_244 ),
inference(backward_demodulation,[],[f375,f1745]) ).
fof(f375,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2421,plain,
( ~ spl20_27
| ~ spl20_77 ),
inference(avatar_split_clause,[],[f2418,f854,f623]) ).
fof(f623,plain,
( spl20_27
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f2418,plain,
( e13 != op1(e12,e11)
| ~ spl20_77 ),
inference(backward_demodulation,[],[f404,f856]) ).
fof(f2420,plain,
( ~ spl20_51
| ~ spl20_77 ),
inference(avatar_split_clause,[],[f2417,f854,f731]) ).
fof(f731,plain,
( spl20_51
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f2417,plain,
( e13 != op1(e13,e12)
| ~ spl20_77 ),
inference(backward_demodulation,[],[f385,f856]) ).
fof(f2419,plain,
( ~ spl20_241
| ~ spl20_77 ),
inference(avatar_split_clause,[],[f2416,f854,f1699]) ).
fof(f1699,plain,
( spl20_241
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_241])]) ).
fof(f2416,plain,
( e13 != op1(e12,e13)
| ~ spl20_77 ),
inference(backward_demodulation,[],[f373,f856]) ).
fof(f373,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2391,plain,
( ~ spl20_54
| ~ spl20_159 ),
inference(avatar_split_clause,[],[f2390,f1230,f746]) ).
fof(f2390,plain,
( e20 != op2(e23,e22)
| ~ spl20_159 ),
inference(forward_demodulation,[],[f947,f1231]) ).
fof(f947,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f82,f506]) ).
fof(f82,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2389,plain,
( ~ spl20_53
| ~ spl20_159 ),
inference(avatar_split_clause,[],[f2385,f1230,f742]) ).
fof(f742,plain,
( spl20_53
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f2385,plain,
( e20 != op2(e23,e21)
| ~ spl20_159 ),
inference(backward_demodulation,[],[f948,f1231]) ).
fof(f2374,plain,
( ~ spl20_94
| ~ spl20_218 ),
inference(avatar_split_clause,[],[f2373,f1526,f931]) ).
fof(f2373,plain,
( e10 != op1(e13,e13)
| ~ spl20_218 ),
inference(forward_demodulation,[],[f396,f1528]) ).
fof(f396,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2361,plain,
( ~ spl20_210
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f2360,f664,f1475]) ).
fof(f664,plain,
( spl20_36
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f2360,plain,
( e22 != h1(e12)
| ~ spl20_36 ),
inference(forward_demodulation,[],[f2018,f666]) ).
fof(f666,plain,
( e22 = op2(e21,e20)
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f2018,plain,
op2(e21,e20) != h1(e12),
inference(backward_demodulation,[],[f84,f2015]) ).
fof(f84,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2350,plain,
( ~ spl20_90
| ~ spl20_220 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2349,plain,
( $false
| ~ spl20_90
| ~ spl20_220 ),
inference(subsumption_resolution,[],[f2348,f190]) ).
fof(f190,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f2348,plain,
( e10 = e11
| ~ spl20_90
| ~ spl20_220 ),
inference(forward_demodulation,[],[f915,f1537]) ).
fof(f915,plain,
( e10 = op1(e12,e10)
| ~ spl20_90 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl20_90
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f2347,plain,
( ~ spl20_229
| ~ spl20_180 ),
inference(avatar_split_clause,[],[f2346,f1332,f1592]) ).
fof(f1592,plain,
( spl20_229
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_229])]) ).
fof(f2346,plain,
( e23 != h2(e13)
| ~ spl20_180 ),
inference(forward_demodulation,[],[f1617,f1334]) ).
fof(f1617,plain,
op2(e21,e23) != h2(e13),
inference(backward_demodulation,[],[f94,f409]) ).
fof(f94,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2338,plain,
( ~ spl20_85
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f2337,f896,f892]) ).
fof(f892,plain,
( spl20_85
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f2337,plain,
( e12 != op1(e12,e11)
| ~ spl20_86 ),
inference(forward_demodulation,[],[f380,f898]) ).
fof(f2334,plain,
( ~ spl20_25
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f2333,f990,f614]) ).
fof(f614,plain,
( spl20_25
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f2333,plain,
( e11 != op1(e10,e12)
| ~ spl20_105 ),
inference(forward_demodulation,[],[f395,f991]) ).
fof(f395,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2331,plain,
( ~ spl20_3
| ~ spl20_218 ),
inference(avatar_split_clause,[],[f2330,f1526,f517]) ).
fof(f517,plain,
( spl20_3
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f2330,plain,
( e10 != op1(e12,e13)
| ~ spl20_218 ),
inference(backward_demodulation,[],[f369,f1528]) ).
fof(f369,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2329,plain,
( ~ spl20_170
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f2328,f990,f1279]) ).
fof(f1279,plain,
( spl20_170
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_170])]) ).
fof(f2328,plain,
( e11 != op1(e13,e12)
| ~ spl20_105 ),
inference(forward_demodulation,[],[f406,f991]) ).
fof(f406,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2305,plain,
( ~ spl20_210
| ~ spl20_123 ),
inference(avatar_split_clause,[],[f2301,f1074,f1475]) ).
fof(f1074,plain,
( spl20_123
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).
fof(f2301,plain,
( e22 != h1(e12)
| ~ spl20_123 ),
inference(backward_demodulation,[],[f2020,f1076]) ).
fof(f1076,plain,
( e22 = h4(e13)
| ~ spl20_123 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f2020,plain,
h1(e12) != h4(e13),
inference(backward_demodulation,[],[f945,f2015]) ).
fof(f945,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[],[f72,f506]) ).
fof(f72,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2268,plain,
( ~ spl20_250
| spl20_61 ),
inference(avatar_split_clause,[],[f2267,f777,f1838]) ).
fof(f1838,plain,
( spl20_250
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_250])]) ).
fof(f777,plain,
( spl20_61
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f2267,plain,
( e21 != h2(e13)
| spl20_61 ),
inference(forward_demodulation,[],[f778,f409]) ).
fof(f778,plain,
( e21 != op2(e21,e21)
| spl20_61 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f2261,plain,
( ~ spl20_174
| ~ spl20_220 ),
inference(avatar_contradiction_clause,[],[f2260]) ).
fof(f2260,plain,
( $false
| ~ spl20_174
| ~ spl20_220 ),
inference(subsumption_resolution,[],[f2259,f186]) ).
fof(f186,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2259,plain,
( e11 = e12
| ~ spl20_174
| ~ spl20_220 ),
inference(forward_demodulation,[],[f1301,f1537]) ).
fof(f1301,plain,
( e12 = op1(e12,e10)
| ~ spl20_174 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl20_174
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f2253,plain,
( spl20_210
| ~ spl20_124 ),
inference(avatar_split_clause,[],[f2252,f1078,f1475]) ).
fof(f2252,plain,
( e22 = h1(e12)
| ~ spl20_124 ),
inference(forward_demodulation,[],[f1080,f2015]) ).
fof(f2250,plain,
( ~ spl20_8
| ~ spl20_6 ),
inference(avatar_split_clause,[],[f2247,f531,f539]) ).
fof(f539,plain,
( spl20_8
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f2247,plain,
( e13 != op1(e11,e11)
| ~ spl20_6 ),
inference(backward_demodulation,[],[f381,f533]) ).
fof(f381,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2228,plain,
( ~ spl20_104
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f2227,f722,f985]) ).
fof(f722,plain,
( spl20_49
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f2227,plain,
( e21 != h4(e13)
| ~ spl20_49 ),
inference(backward_demodulation,[],[f947,f724]) ).
fof(f724,plain,
( e21 = op2(e23,e22)
| ~ spl20_49 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f2217,plain,
( ~ spl20_244
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f2216,f936,f1743]) ).
fof(f936,plain,
( spl20_95
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f2216,plain,
( e12 != op1(e13,e10)
| ~ spl20_95 ),
inference(backward_demodulation,[],[f366,f938]) ).
fof(f938,plain,
( e12 = op1(e13,e12)
| ~ spl20_95 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f366,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2196,plain,
( ~ spl20_223
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f2185,f552,f1556]) ).
fof(f1556,plain,
( spl20_223
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_223])]) ).
fof(f2185,plain,
( e11 != op1(e11,e13)
| ~ spl20_11 ),
inference(backward_demodulation,[],[f374,f553]) ).
fof(f374,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2193,plain,
( ~ spl20_216
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f2189,f552,f1517]) ).
fof(f1517,plain,
( spl20_216
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_216])]) ).
fof(f2189,plain,
( e11 != op1(e10,e13)
| ~ spl20_11 ),
inference(backward_demodulation,[],[f396,f553]) ).
fof(f2192,plain,
( ~ spl20_170
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f2188,f552,f1279]) ).
fof(f2188,plain,
( e11 != op1(e13,e12)
| ~ spl20_11 ),
inference(backward_demodulation,[],[f387,f553]) ).
fof(f2184,plain,
( ~ spl20_93
| ~ spl20_91 ),
inference(avatar_split_clause,[],[f2177,f918,f927]) ).
fof(f918,plain,
( spl20_91
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f2177,plain,
( e10 != op1(e13,e12)
| ~ spl20_91 ),
inference(backward_demodulation,[],[f384,f920]) ).
fof(f920,plain,
( e10 = op1(e10,e12)
| ~ spl20_91 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f384,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2152,plain,
( ~ spl20_54
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f2149,f742,f746]) ).
fof(f2149,plain,
( e20 != op2(e23,e22)
| ~ spl20_53 ),
inference(backward_demodulation,[],[f75,f744]) ).
fof(f744,plain,
( e20 = op2(e23,e21)
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f75,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2124,plain,
( ~ spl20_210
| ~ spl20_101 ),
inference(avatar_split_clause,[],[f2118,f970,f1475]) ).
fof(f970,plain,
( spl20_101
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f2118,plain,
( e22 != h1(e12)
| ~ spl20_101 ),
inference(backward_demodulation,[],[f2016,f972]) ).
fof(f972,plain,
( e22 = op2(e22,e20)
| ~ spl20_101 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f2016,plain,
op2(e22,e20) != h1(e12),
inference(backward_demodulation,[],[f100,f2015]) ).
fof(f100,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2116,plain,
( ~ spl20_225
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f2099,f826,f1570]) ).
fof(f826,plain,
( spl20_71
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f2099,plain,
( e21 != op2(e22,e20)
| ~ spl20_71 ),
inference(backward_demodulation,[],[f974,f827]) ).
fof(f827,plain,
( e21 = h3(e13)
| ~ spl20_71 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f974,plain,
op2(e22,e20) != h3(e13),
inference(forward_demodulation,[],[f97,f183]) ).
fof(f97,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2095,plain,
( ~ spl20_232
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f2091,f1535,f1619]) ).
fof(f1619,plain,
( spl20_232
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_232])]) ).
fof(f2091,plain,
( e11 != op1(e12,e11)
| ~ spl20_220 ),
inference(backward_demodulation,[],[f367,f1537]) ).
fof(f367,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2093,plain,
( ~ spl20_219
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f2089,f1535,f1531]) ).
fof(f1531,plain,
( spl20_219
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).
fof(f2089,plain,
( e11 != op1(e11,e10)
| ~ spl20_220 ),
inference(backward_demodulation,[],[f398,f1537]) ).
fof(f398,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2092,plain,
( ~ spl20_75
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f2087,f1535,f846]) ).
fof(f846,plain,
( spl20_75
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f2087,plain,
( e11 != op1(e12,e12)
| ~ spl20_220 ),
inference(backward_demodulation,[],[f402,f1537]) ).
fof(f402,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2072,plain,
( spl20_229
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f2071,f773,f1592]) ).
fof(f773,plain,
( spl20_60
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f2071,plain,
( e23 = h2(e13)
| ~ spl20_60 ),
inference(forward_demodulation,[],[f775,f409]) ).
fof(f775,plain,
( e23 = op2(e21,e21)
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f2069,plain,
( ~ spl20_44
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f2063,f696,f700]) ).
fof(f700,plain,
( spl20_44
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f2063,plain,
( e13 != op1(e13,e10)
| ~ spl20_43 ),
inference(backward_demodulation,[],[f391,f698]) ).
fof(f391,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2068,plain,
( ~ spl20_15
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f2061,f696,f570]) ).
fof(f570,plain,
( spl20_15
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f2061,plain,
( e13 != op1(e10,e12)
| ~ spl20_43 ),
inference(backward_demodulation,[],[f377,f698]) ).
fof(f377,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2067,plain,
( ~ spl20_236
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f2064,f696,f1659]) ).
fof(f1659,plain,
( spl20_236
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_236])]) ).
fof(f2064,plain,
( e13 != op1(e10,e13)
| ~ spl20_43 ),
inference(backward_demodulation,[],[f399,f698]) ).
fof(f399,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2066,plain,
( ~ spl20_7
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f2060,f696,f535]) ).
fof(f535,plain,
( spl20_7
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f2060,plain,
( e13 != op1(e11,e10)
| ~ spl20_43 ),
inference(backward_demodulation,[],[f361,f698]) ).
fof(f361,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2065,plain,
( spl20_244
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f2059,f696,f1743]) ).
fof(f2059,plain,
( e12 = op1(e13,e10)
| ~ spl20_43 ),
inference(backward_demodulation,[],[f194,f698]) ).
fof(f194,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e10,e10),e10)
& e11 = op1(op1(op1(e10,e10),e10),e10)
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f2055,plain,
( ~ spl20_92
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f2048,f610,f922]) ).
fof(f610,plain,
( spl20_24
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f2048,plain,
( e12 != op1(e10,e12)
| ~ spl20_24 ),
inference(backward_demodulation,[],[f386,f611]) ).
fof(f611,plain,
( e12 = op1(e10,e11)
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f386,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2046,plain,
( spl20_34
| spl20_28
| spl20_47
| spl20_99 ),
inference(avatar_split_clause,[],[f308,f959,f714,f628,f655]) ).
fof(f655,plain,
( spl20_34
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f628,plain,
( spl20_28
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f714,plain,
( spl20_47
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f959,plain,
( spl20_99
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f308,plain,
( sP12
| sP14
| sP15
| sP13 ),
inference(cnf_transformation,[],[f38]) ).
fof(f2045,plain,
~ spl20_41,
inference(avatar_split_clause,[],[f2044,f687]) ).
fof(f687,plain,
( spl20_41
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f2044,plain,
e23 != op2(e21,e20),
inference(forward_demodulation,[],[f69,f503]) ).
fof(f69,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2027,plain,
( ~ spl20_225
| spl20_226
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f282,f655,f1574,f1570]) ).
fof(f282,plain,
( ~ sP13
| e20 = op2(e22,e21)
| e21 != op2(e22,e20) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( e21 != op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e21 != op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e23,e21)
| e21 != op2(e23,e21) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( e21 != op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e21 != op2(e22,e23)
| e23 = op2(e22,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f2026,plain,
( spl20_85
| spl20_243
| spl20_232
| spl20_27 ),
inference(avatar_split_clause,[],[f201,f623,f1619,f1734,f892]) ).
fof(f201,plain,
( e13 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e13 = op1(e10,e12) )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10)
| op1(e10,e10) = e13 )
& ( e10 = op1(e13,e13)
| e12 = op1(e13,e13)
| e13 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) )
& ( e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e11 = op1(e13,e12) )
& ( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e10,e13)
| e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( e13 = op1(e11,e10)
| e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e11 = op1(e13,e10) )
& ( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e11 = op1(e11,e13)
| e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2007,plain,
( spl20_128
| spl20_223
| spl20_105
| spl20_219 ),
inference(avatar_split_clause,[],[f219,f1531,f990,f1556,f1097]) ).
fof(f1097,plain,
( spl20_128
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_128])]) ).
fof(f219,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e10,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e13) )
& ( e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| e10 = op1(e13,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| e10 = op1(e11,e11) )
& ( e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10) )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13)
| e13 = op1(e11,e11) )
& ( e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10) )
& ( op1(e10,e10) = e12
| e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| e12 = op1(e10,e11) )
& ( e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e13,e13) )
& ( e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12) )
& ( e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10) )
& ( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) )
& ( e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10) )
& ( e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12) )
& ( e11 = op1(e11,e10)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11) )
& ( e13 = op1(e11,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) )
& ( e12 = op1(e13,e10)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e10 = op1(e10,e12)
| e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) )
& ( e10 = op1(e11,e13)
| e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| e11 = op1(e13,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2005,plain,
~ spl20_233,
inference(avatar_split_clause,[],[f113,f1633]) ).
fof(f113,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2003,plain,
spl20_220,
inference(avatar_split_clause,[],[f2002,f1535]) ).
fof(f2002,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[],[f193,f194]) ).
fof(f193,plain,
e11 = op1(op1(op1(e10,e10),e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f1996,plain,
spl20_171,
inference(avatar_split_clause,[],[f483,f1284]) ).
fof(f483,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f1969,plain,
( spl20_101
| spl20_82
| spl20_240
| spl20_32 ),
inference(avatar_split_clause,[],[f1968,f647,f1686,f876,f970]) ).
fof(f876,plain,
( spl20_82
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f1968,plain,
( e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = h3(e13)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f330,f183]) ).
fof(f330,plain,
( e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21
| e21 = op2(e20,e22) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e23) )
& ( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23) )
& ( e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e20) )
& ( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22) )
& ( e23 = op2(e21,e22)
| e23 = op2(e20,e22)
| e23 = op2(e23,e22)
| e23 = op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23)
| e20 = op2(e22,e21) )
& ( e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21) )
& ( e21 = op2(e20,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) )
& ( e22 = op2(e20,e21)
| op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) )
& ( e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e21) )
& ( e20 = op2(e21,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20) )
& ( e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) )
& ( e21 = op2(e23,e21)
| e21 = op2(e23,e20)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22) )
& ( e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e23) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) )
& ( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| op2(e20,e20) = e23
| e23 = op2(e20,e22) )
& ( e20 = op2(e21,e23)
| e20 = op2(e23,e23)
| e20 = op2(e20,e23)
| e20 = op2(e22,e23) )
& ( e21 = op2(e23,e20)
| e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| op2(e20,e20) = e21 )
& ( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) )
& ( e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1962,plain,
~ spl20_149,
inference(avatar_split_clause,[],[f1961,f1188]) ).
fof(f1188,plain,
( spl20_149
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f1961,plain,
e23 != op2(e20,e21),
inference(forward_demodulation,[],[f90,f503]) ).
fof(f90,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1959,plain,
( ~ spl20_43
| ~ spl20_17
| spl20_218 ),
inference(avatar_split_clause,[],[f437,f1526,f578,f696]) ).
fof(f578,plain,
( spl20_17
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f437,plain,
( e10 = op1(e10,e13)
| ~ sP18
| op1(e10,e10) != e13 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e13 != op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 != op1(e12,e13)
| e13 = op1(e12,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e13 != op1(e12,e10)
| e10 = op1(e12,e13) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e13 != op1(e12,e11)
| e11 = op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( e13 != op1(e10,e12)
| e12 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e13 != op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 != op1(e12,e13)
| e13 = op1(e12,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e13 != op1(e12,e10)
| e10 = op1(e12,e13) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e13 != op1(e12,e11)
| e11 = op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( e13 != op1(e10,e12)
| e12 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1939,plain,
( spl20_170
| spl20_95
| spl20_93
| spl20_51 ),
inference(avatar_split_clause,[],[f202,f731,f927,f936,f1279]) ).
fof(f202,plain,
( e13 = op1(e13,e12)
| e10 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1866,plain,
( spl20_252
| spl20_250
| spl20_221
| spl20_247 ),
inference(avatar_split_clause,[],[f1865,f1766,f1545,f1838,f1852]) ).
fof(f1865,plain,
( e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = h2(e13)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f327,f409]) ).
fof(f327,plain,
( e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1859,plain,
( spl20_15
| ~ spl20_23
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f473,f574,f606,f570]) ).
fof(f606,plain,
( spl20_23
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f574,plain,
( spl20_16
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f473,plain,
( e12 != op1(e10,e13)
| ~ sP16
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e12 != op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e10,e11)
| e11 = op1(e10,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e12 != op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e10,e11)
| e11 = op1(e10,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1843,plain,
~ spl20_65,
inference(avatar_split_clause,[],[f115,f798]) ).
fof(f115,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1834,plain,
( spl20_6
| spl20_241
| spl20_236 ),
inference(avatar_split_clause,[],[f1833,f1659,f1699,f531]) ).
fof(f1833,plain,
( e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f226,f476]) ).
fof(f476,plain,
e13 != op1(e13,e13),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( sP19
| sP18
| sP17
| sP16 )
& e12 != op1(e12,e12)
& e11 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 != op1(e13,e13) ),
inference(definition_folding,[],[f10,f42,f41,f40,f39]) ).
fof(f40,plain,
( ( ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e10 != op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e10 != op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f42,plain,
( ( ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e11 != op1(e10,e13)
| e13 = op1(e10,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f10,axiom,
( ( ( ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e11 != op1(e10,e13)
| e13 = op1(e10,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ( ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e13 != op1(e11,e13)
| e13 = op1(e11,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 != op1(e12,e13)
| e13 = op1(e12,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) )
& ( e13 != op1(e13,e13)
| e13 = op1(e13,e13) )
& ( e13 != op1(e12,e10)
| e10 = op1(e12,e13) )
& ( e13 = op1(e10,e13)
| e13 != op1(e10,e13) )
& ( e13 != op1(e12,e11)
| e11 = op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( e13 != op1(e10,e12)
| e12 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) ) )
| ( ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e10 != op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e10 != op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) ) )
| ( ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e12 != op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e12 != op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e12 != op1(e10,e11)
| e11 = op1(e10,e12) )
& ( e11 = op1(e13,e12)
| e12 != op1(e13,e11) )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 != op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 != op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e12 != op1(e12,e13)
| e13 = op1(e12,e12) ) ) )
& e12 != op1(e12,e12)
& e11 != op1(e11,e11)
& e10 != op1(e10,e10)
& e13 != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f226,plain,
( e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1832,plain,
( spl20_16
| spl20_236
| spl20_216
| spl20_218 ),
inference(avatar_split_clause,[],[f200,f1526,f1517,f1659,f574]) ).
fof(f200,plain,
( e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1809,plain,
~ spl20_82,
inference(avatar_split_clause,[],[f1808,f876]) ).
fof(f1808,plain,
e22 != h3(e13),
inference(forward_demodulation,[],[f307,f183]) ).
fof(f307,plain,
e22 != op2(e22,e22),
inference(cnf_transformation,[],[f38]) ).
fof(f1804,plain,
( spl20_71
| spl20_56
| spl20_176
| spl20_49 ),
inference(avatar_split_clause,[],[f1803,f722,f1309,f756,f826]) ).
fof(f1803,plain,
( e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = h3(e13) ),
inference(forward_demodulation,[],[f326,f183]) ).
fof(f326,plain,
( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1800,plain,
( spl20_75
| ~ spl20_85
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f468,f606,f892,f846]) ).
fof(f468,plain,
( ~ sP16
| e12 != op1(e12,e11)
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f63]) ).
fof(f1797,plain,
( ~ spl20_1
| ~ spl20_78
| spl20_174 ),
inference(avatar_split_clause,[],[f457,f1299,f858,f509]) ).
fof(f509,plain,
( spl20_1
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f457,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( e10 != op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e10 != op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e12 = op1(e11,e10)
| e10 != op1(e11,e12) )
& ( e10 = op1(e11,e10)
| e10 != op1(e11,e10) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1790,plain,
( spl20_123
| spl20_159
| spl20_104 ),
inference(avatar_split_clause,[],[f1789,f985,f1230,f1074]) ).
fof(f1789,plain,
( e21 = h4(e13)
| e20 = h4(e13)
| e22 = h4(e13) ),
inference(subsumption_resolution,[],[f1788,f946]) ).
fof(f946,plain,
e23 != h4(e13),
inference(backward_demodulation,[],[f311,f506]) ).
fof(f311,plain,
e23 != op2(e23,e23),
inference(cnf_transformation,[],[f38]) ).
fof(f1788,plain,
( e22 = h4(e13)
| e23 = h4(e13)
| e21 = h4(e13)
| e20 = h4(e13) ),
inference(forward_demodulation,[],[f1787,f506]) ).
fof(f1787,plain,
( e23 = op2(e23,e23)
| e21 = h4(e13)
| e20 = h4(e13)
| e22 = h4(e13) ),
inference(forward_demodulation,[],[f1786,f506]) ).
fof(f1786,plain,
( e22 = h4(e13)
| e20 = op2(e23,e23)
| e21 = h4(e13)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f1785,f506]) ).
fof(f1785,plain,
( e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = h4(e13) ),
inference(forward_demodulation,[],[f344,f506]) ).
fof(f344,plain,
( e21 = op2(e23,e23)
| e23 = op2(e23,e23)
| e20 = op2(e23,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| e20 = op2(e20,e20) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e22 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1778,plain,
( spl20_54
| ~ spl20_47
| ~ spl20_124 ),
inference(avatar_split_clause,[],[f262,f1078,f714,f746]) ).
fof(f262,plain,
( e22 != op2(e23,e20)
| ~ sP14
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e20,e21)
| e21 = op2(e20,e22) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e22 != op2(e21,e22)
| e22 = op2(e21,e22) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e22 != op2(e23,e21)
| e21 = op2(e23,e22) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 != op2(e23,e20)
| e20 = op2(e23,e22) )
& ( e22 != op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e22 != op2(e20,e23)
| e23 = op2(e20,e22) )
& ( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1773,plain,
spl20_43,
inference(avatar_split_clause,[],[f192,f696]) ).
fof(f192,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f12]) ).
fof(f1772,plain,
( ~ spl20_23
| ~ spl20_244
| spl20_93 ),
inference(avatar_split_clause,[],[f472,f927,f1743,f606]) ).
fof(f472,plain,
( e10 = op1(e13,e12)
| e12 != op1(e13,e10)
| ~ sP16 ),
inference(cnf_transformation,[],[f63]) ).
fof(f1763,plain,
( spl20_73
| spl20_181
| spl20_102
| spl20_189 ),
inference(avatar_split_clause,[],[f346,f1380,f977,f1336,f837]) ).
fof(f1336,plain,
( spl20_181
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_181])]) ).
fof(f346,plain,
( e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1762,plain,
( ~ spl20_12
| spl20_243
| ~ spl20_220 ),
inference(avatar_split_clause,[],[f425,f1535,f1734,f556]) ).
fof(f556,plain,
( spl20_12
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f425,plain,
( e11 != op1(e12,e10)
| e10 = op1(e12,e11)
| ~ sP19 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ( e13 = op1(e12,e11)
| e11 != op1(e12,e13) )
& ( e11 != op1(e10,e13)
| e13 = op1(e10,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( e11 != op1(e12,e12)
| e12 = op1(e12,e11) )
& ( e11 = op1(e13,e11)
| e11 != op1(e13,e11) )
& ( e11 = op1(e12,e11)
| e11 != op1(e12,e11) )
& ( e10 = op1(e13,e11)
| e11 != op1(e13,e10) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1761,plain,
( spl20_90
| spl20_243
| spl20_78
| spl20_3 ),
inference(avatar_split_clause,[],[f238,f517,f858,f1734,f913]) ).
fof(f238,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1726,plain,
( ~ spl20_99
| ~ spl20_83
| spl20_123 ),
inference(avatar_split_clause,[],[f1725,f1074,f881,f959]) ).
fof(f1725,plain,
( e22 = h4(e13)
| e23 != op2(e23,e22)
| ~ sP12 ),
inference(forward_demodulation,[],[f298,f506]) ).
fof(f298,plain,
( e22 = op2(e23,e23)
| ~ sP12
| e23 != op2(e23,e22) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e23 != op2(e22,e20)
| e20 = op2(e22,e23) )
& ( e23 != op2(e21,e20)
| e20 = op2(e21,e23) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 != op2(e21,e22)
| e22 = op2(e21,e23) )
& ( e23 = op2(e20,e23)
| e23 != op2(e20,e23) )
& ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e23 != op2(e20,e22)
| e22 = op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e23 != op2(e20,e21)
| e21 = op2(e20,e23) )
& ( e23 != op2(e22,e23)
| e23 = op2(e22,e23) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1723,plain,
~ spl20_181,
inference(avatar_split_clause,[],[f1722,f1336]) ).
fof(f1722,plain,
e23 != op2(e20,e23),
inference(forward_demodulation,[],[f99,f503]) ).
fof(f99,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1715,plain,
~ spl20_183,
inference(avatar_split_clause,[],[f114,f1346]) ).
fof(f114,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1710,plain,
( spl20_242
| spl20_226
| spl20_182
| spl20_53 ),
inference(avatar_split_clause,[],[f1705,f742,f1342,f1574,f1707]) ).
fof(f1705,plain,
( e20 = op2(e23,e21)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = h2(e13) ),
inference(forward_demodulation,[],[f322,f409]) ).
fof(f322,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1697,plain,
( spl20_190
| spl20_218
| spl20_91
| spl20_88 ),
inference(avatar_split_clause,[],[f222,f905,f918,f1526,f1385]) ).
fof(f905,plain,
( spl20_88
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f222,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1695,plain,
~ spl20_128,
inference(avatar_split_clause,[],[f478,f1097]) ).
fof(f478,plain,
e11 != op1(e11,e11),
inference(cnf_transformation,[],[f43]) ).
fof(f1692,plain,
spl20_237,
inference(avatar_split_clause,[],[f1691,f1667]) ).
fof(f1691,plain,
e21 = h1(e11),
inference(forward_demodulation,[],[f1690,f735]) ).
fof(f1690,plain,
h1(e11) = op2(op2(e23,e20),e20),
inference(forward_demodulation,[],[f481,f503]) ).
fof(f481,plain,
op2(op2(op2(e20,e20),e20),e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1670,plain,
( ~ spl20_237
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f136,f807,f1667]) ).
fof(f807,plain,
( spl20_67
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f136,plain,
( ~ sP7
| e21 != h1(e11) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e13) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e13) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1657,plain,
( spl20_229
| spl20_97
| spl20_149
| spl20_168 ),
inference(avatar_split_clause,[],[f1656,f1269,f1188,f951,f1592]) ).
fof(f1656,plain,
( e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = h2(e13) ),
inference(forward_demodulation,[],[f336,f409]) ).
fof(f336,plain,
( e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1608,plain,
( spl20_87
| spl20_219
| spl20_7
| spl20_177 ),
inference(avatar_split_clause,[],[f199,f1314,f535,f1531,f901]) ).
fof(f199,plain,
( e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1597,plain,
~ spl20_46,
inference(avatar_split_clause,[],[f1596,f709]) ).
fof(f709,plain,
( spl20_46
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f1596,plain,
e23 != op2(e22,e20),
inference(forward_demodulation,[],[f92,f503]) ).
fof(f92,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1568,plain,
spl20_124,
inference(avatar_split_clause,[],[f1567,f1078]) ).
fof(f1567,plain,
e22 = op2(e23,e20),
inference(forward_demodulation,[],[f502,f503]) ).
fof(f502,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f1566,plain,
( spl20_209
| spl20_46
| spl20_179
| spl20_97 ),
inference(avatar_split_clause,[],[f1565,f951,f1328,f709,f1470]) ).
fof(f1565,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| e23 = h3(e13) ),
inference(forward_demodulation,[],[f335,f183]) ).
fof(f335,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1559,plain,
( ~ spl20_12
| ~ spl20_223
| spl20_8 ),
inference(avatar_split_clause,[],[f423,f539,f1556,f556]) ).
fof(f423,plain,
( e13 = op1(e11,e11)
| e11 != op1(e11,e13)
| ~ sP19 ),
inference(cnf_transformation,[],[f60]) ).
fof(f1554,plain,
( ~ spl20_94
| spl20_44
| ~ spl20_1 ),
inference(avatar_split_clause,[],[f455,f509,f700,f931]) ).
fof(f455,plain,
( ~ sP17
| e13 = op1(e13,e10)
| e10 != op1(e13,e13) ),
inference(cnf_transformation,[],[f62]) ).
fof(f1541,plain,
spl20_38,
inference(avatar_split_clause,[],[f1540,f673]) ).
fof(f1540,plain,
e23 = h1(e13),
inference(forward_demodulation,[],[f482,f503]) ).
fof(f482,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f1524,plain,
( spl20_25
| spl20_216
| spl20_217
| spl20_191 ),
inference(avatar_split_clause,[],[f235,f1389,f1521,f1517,f614]) ).
fof(f235,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e13)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1515,plain,
( ~ spl20_190
| ~ spl20_1
| spl20_191 ),
inference(avatar_split_clause,[],[f449,f1389,f509,f1385]) ).
fof(f449,plain,
( op1(e10,e10) = e11
| ~ sP17
| e10 != op1(e10,e11) ),
inference(cnf_transformation,[],[f62]) ).
fof(f1509,plain,
~ spl20_61,
inference(avatar_split_clause,[],[f309,f777]) ).
fof(f309,plain,
e21 != op2(e21,e21),
inference(cnf_transformation,[],[f38]) ).
fof(f1508,plain,
( spl20_125
| spl20_214
| spl20_58
| spl20_82 ),
inference(avatar_split_clause,[],[f1503,f876,f764,f1505,f1082]) ).
fof(f1503,plain,
( e22 = h3(e13)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f313,f183]) ).
fof(f313,plain,
( e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1502,plain,
( spl20_125
| spl20_54
| spl20_49
| spl20_83 ),
inference(avatar_split_clause,[],[f349,f881,f722,f746,f1082]) ).
fof(f349,plain,
( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1478,plain,
( ~ spl20_5
| ~ spl20_210 ),
inference(avatar_split_clause,[],[f133,f1475,f526]) ).
fof(f526,plain,
( spl20_5
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f133,plain,
( e22 != h1(e12)
| ~ sP8 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e13) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e13) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1473,plain,
( spl20_82
| spl20_209
| spl20_100
| spl20_71 ),
inference(avatar_split_clause,[],[f1468,f826,f966,f1470,f876]) ).
fof(f966,plain,
( spl20_100
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f1468,plain,
( e21 = h3(e13)
| e20 = h3(e13)
| e23 = h3(e13)
| e22 = h3(e13) ),
inference(forward_demodulation,[],[f1467,f183]) ).
fof(f1467,plain,
( e20 = h3(e13)
| e23 = h3(e13)
| e22 = op2(e22,e22)
| e21 = h3(e13) ),
inference(forward_demodulation,[],[f1466,f183]) ).
fof(f1466,plain,
( e20 = op2(e22,e22)
| e21 = h3(e13)
| e22 = op2(e22,e22)
| e23 = h3(e13) ),
inference(forward_demodulation,[],[f1465,f183]) ).
fof(f1465,plain,
( e21 = h3(e13)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) ),
inference(forward_demodulation,[],[f345,f183]) ).
fof(f345,plain,
( e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1383,plain,
( spl20_189
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f1378,f959,f1380]) ).
fof(f1378,plain,
( ~ sP12
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f303,f503]) ).
fof(f303,plain,
( op2(e20,e20) != e23
| e20 = op2(e20,e23)
| ~ sP12 ),
inference(cnf_transformation,[],[f59]) ).
fof(f1349,plain,
( ~ spl20_182
| ~ spl20_28
| spl20_183 ),
inference(avatar_split_clause,[],[f1340,f1346,f628,f1342]) ).
fof(f1340,plain,
( e21 = e23
| ~ sP15
| e20 != op2(e20,e21) ),
inference(forward_demodulation,[],[f247,f503]) ).
fof(f247,plain,
( ~ sP15
| e20 != op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e20 != op2(e23,e22)
| e22 = op2(e23,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e21 = op2(e22,e20)
| e20 != op2(e22,e21) )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e23,e20)
| e20 = op2(e23,e20) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1339,plain,
( spl20_179
| spl20_180
| spl20_181 ),
inference(avatar_split_clause,[],[f1326,f1336,f1332,f1328]) ).
fof(f1326,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f1325,f946]) ).
fof(f1325,plain,
( e23 = h4(e13)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f314,f506]) ).
fof(f314,plain,
( e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1324,plain,
( spl20_11
| spl20_94
| spl20_50 ),
inference(avatar_split_clause,[],[f1323,f727,f931,f552]) ).
fof(f1323,plain,
( e12 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13) ),
inference(subsumption_resolution,[],[f208,f476]) ).
fof(f208,plain,
( e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1302,plain,
( spl20_76
| spl20_174
| spl20_85
| spl20_129 ),
inference(avatar_split_clause,[],[f237,f1102,f892,f1299,f850]) ).
fof(f850,plain,
( spl20_76
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f237,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1287,plain,
( ~ spl20_136
| ~ spl20_137
| spl20_5
| spl20_37
| spl20_67
| ~ spl20_135
| ~ spl20_144
| ~ spl20_171
| ~ spl20_145
| ~ spl20_147
| ~ spl20_132
| ~ spl20_138
| ~ spl20_140
| ~ spl20_131
| ~ spl20_146
| ~ spl20_133
| ~ spl20_134
| ~ spl20_141
| ~ spl20_139
| ~ spl20_143 ),
inference(avatar_split_clause,[],[f177,f1160,f1144,f1152,f1124,f1120,f1172,f1112,f1148,f1140,f1116,f1176,f1168,f1284,f1164,f1128,f807,f669,f526,f1136,f1132]) ).
fof(f669,plain,
( spl20_37
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f177,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| e20 != h1(e10)
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP7
| sP6
| sP8
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| ( e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e11) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP11
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP10
| sP9
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e13) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP8
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP7
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP6
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) )
& ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| ( e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| sP5
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP4
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP3
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) )
& ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP2
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| sP1
| sP0 ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e12) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e12) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f30,plain,
( ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e21 != h2(e13)
& e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| ( e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13)
& e20 != h2(e11) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| ( e21 != h2(e13)
& e21 != h2(e10)
& e21 != h2(e12)
& e21 != h2(e11) )
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) )
& ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e13) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e13) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e13) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) )
& ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| ( e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| ( e22 != h3(e12)
& e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e11) )
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| ( e21 != h3(e13)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e12) )
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) )
& ( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e22 != h4(e11)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e12) )
| ( e23 != h4(e12)
& e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e10) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e10)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e11) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& ( e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e12) )
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) )
| ( ( e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e11) )
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e13) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11) ) )
| ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e10)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e23 = h2(e11)
| e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10) )
& ( e21 = h2(e11)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e11) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e13)
| e20 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e10) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e10)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e11) )
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& ( e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e12) )
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) )
| ( ( e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e11) )
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e13) )
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11) ) )
| ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e22 = h2(e10)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e23 = h2(e11)
| e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10) )
& ( e21 = h2(e11)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e20 = h2(e10)
| e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e11) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10)
| e22 = h4(e13) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e13)
| e20 = h4(e12) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1266,plain,
~ spl20_76,
inference(avatar_split_clause,[],[f479,f850]) ).
fof(f479,plain,
e12 != op1(e12,e12),
inference(cnf_transformation,[],[f43]) ).
fof(f1192,plain,
( spl20_1
| spl20_12
| spl20_17
| spl20_23 ),
inference(avatar_split_clause,[],[f480,f606,f578,f556,f509]) ).
fof(f480,plain,
( sP16
| sP18
| sP19
| sP17 ),
inference(cnf_transformation,[],[f43]) ).
fof(f1191,plain,
( ~ spl20_102
| spl20_149
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f277,f655,f1188,f977]) ).
fof(f277,plain,
( ~ sP13
| e23 = op2(e20,e21)
| e21 != op2(e20,e23) ),
inference(cnf_transformation,[],[f58]) ).
fof(f1100,plain,
( spl20_86
| spl20_8
| spl20_127
| spl20_128 ),
inference(avatar_split_clause,[],[f204,f1097,f1093,f539,f896]) ).
fof(f204,plain,
( e11 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1086,plain,
( spl20_50
| ~ spl20_17
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f428,f731,f578,f727]) ).
fof(f428,plain,
( e13 != op1(e13,e12)
| ~ sP18
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f61]) ).
fof(f973,plain,
( ~ spl20_100
| spl20_101
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f964,f628,f970,f966]) ).
fof(f964,plain,
( ~ sP15
| e22 = op2(e22,e20)
| e20 != h3(e13) ),
inference(forward_demodulation,[],[f254,f183]) ).
fof(f254,plain,
( ~ sP15
| e20 != op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f56]) ).
fof(f963,plain,
~ spl20_88,
inference(avatar_split_clause,[],[f477,f905]) ).
fof(f477,plain,
e10 != op1(e10,e10),
inference(cnf_transformation,[],[f43]) ).
fof(f925,plain,
( spl20_25
| spl20_91
| spl20_92
| spl20_15 ),
inference(avatar_split_clause,[],[f210,f570,f922,f918,f614]) ).
fof(f210,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f899,plain,
( spl20_85
| spl20_24
| spl20_86
| spl20_18 ),
inference(avatar_split_clause,[],[f234,f583,f896,f610,f892]) ).
fof(f234,plain,
( e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f890,plain,
( spl20_44
| spl20_10
| spl20_51 ),
inference(avatar_split_clause,[],[f889,f731,f548,f700]) ).
fof(f889,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f220,f476]) ).
fof(f220,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f861,plain,
( spl20_75
| spl20_76
| spl20_77
| spl20_78 ),
inference(avatar_split_clause,[],[f205,f858,f854,f850,f846]) ).
fof(f205,plain,
( e10 = op1(e12,e12)
| e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f780,plain,
( spl20_59
| spl20_29
| spl20_60
| spl20_61 ),
inference(avatar_split_clause,[],[f355,f777,f773,f632,f769]) ).
fof(f355,plain,
( e21 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f694,plain,
( spl20_41
| spl20_42
| spl20_30
| spl20_36 ),
inference(avatar_split_clause,[],[f348,f664,f636,f691,f687]) ).
fof(f348,plain,
( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f676,plain,
( ~ spl20_37
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f138,f673,f669]) ).
fof(f138,plain,
( e23 != h1(e13)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n002.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:07:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.54 % (15650)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.54 % (15656)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.55 % (15658)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.55 % (15648)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.55 % (15639)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.56 % (15641)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.56 % (15641)Instruction limit reached!
% 0.18/0.56 % (15641)------------------------------
% 0.18/0.56 % (15641)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (15641)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (15641)Termination reason: Unknown
% 0.18/0.56 % (15641)Termination phase: shuffling
% 0.18/0.56
% 0.18/0.56 % (15641)Memory used [KB]: 1023
% 0.18/0.56 % (15641)Time elapsed: 0.003 s
% 0.18/0.56 % (15641)Instructions burned: 2 (million)
% 0.18/0.56 % (15641)------------------------------
% 0.18/0.56 % (15641)------------------------------
% 0.18/0.58 % (15640)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.60 % (15633)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.60 % (15652)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.60 % (15653)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.60 % (15655)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.60 % (15654)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.60 % (15636)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.60 % (15637)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.61 % (15640)Instruction limit reached!
% 0.18/0.61 % (15640)------------------------------
% 0.18/0.61 % (15640)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.61 % (15640)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.61 % (15640)Termination reason: Unknown
% 0.18/0.61 % (15640)Termination phase: Property scanning
% 0.18/0.61
% 0.18/0.61 % (15640)Memory used [KB]: 1151
% 0.18/0.61 % (15640)Time elapsed: 0.007 s
% 0.18/0.61 % (15640)Instructions burned: 8 (million)
% 0.18/0.61 % (15640)------------------------------
% 0.18/0.61 % (15640)------------------------------
% 1.92/0.61 % (15647)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.92/0.61 % (15660)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.92/0.61 % (15635)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.92/0.61 % (15657)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.92/0.61 % (15663)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.92/0.61 % (15661)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.92/0.62 % (15646)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.92/0.62 % (15644)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.92/0.62 % (15638)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.92/0.62 % (15639)Instruction limit reached!
% 1.92/0.62 % (15639)------------------------------
% 1.92/0.62 % (15639)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.92/0.62 % (15649)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.92/0.62 % (15645)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.92/0.62 % (15662)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 2.06/0.63 % (15659)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 2.06/0.63 % (15639)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.06/0.63 % (15639)Termination reason: Unknown
% 2.06/0.63 % (15639)Termination phase: Finite model building preprocessing
% 2.06/0.63
% 2.06/0.63 % (15639)Memory used [KB]: 2430
% 2.06/0.63 % (15639)Time elapsed: 0.031 s
% 2.06/0.63 % (15639)Instructions burned: 51 (million)
% 2.06/0.63 % (15639)------------------------------
% 2.06/0.63 % (15639)------------------------------
% 2.06/0.64 % (15651)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.06/0.64 % (15642)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.20/0.65 % (15634)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.20/0.67 % (15648)Instruction limit reached!
% 2.20/0.67 % (15648)------------------------------
% 2.20/0.67 % (15648)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (15648)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67 % (15648)Termination reason: Unknown
% 2.20/0.67 % (15648)Termination phase: Saturation
% 2.20/0.67
% 2.20/0.67 % (15648)Memory used [KB]: 7036
% 2.20/0.67 % (15648)Time elapsed: 0.067 s
% 2.20/0.67 % (15648)Instructions burned: 68 (million)
% 2.20/0.67 % (15648)------------------------------
% 2.20/0.67 % (15648)------------------------------
% 2.20/0.68 % (15635)Instruction limit reached!
% 2.20/0.68 % (15635)------------------------------
% 2.20/0.68 % (15635)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.68 % (15635)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.68 % (15635)Termination reason: Unknown
% 2.20/0.68 % (15635)Termination phase: Saturation
% 2.20/0.68
% 2.20/0.68 % (15635)Memory used [KB]: 1279
% 2.20/0.68 % (15635)Time elapsed: 0.028 s
% 2.20/0.68 % (15635)Instructions burned: 37 (million)
% 2.20/0.68 % (15635)------------------------------
% 2.20/0.68 % (15635)------------------------------
% 2.20/0.71 % (15636)Instruction limit reached!
% 2.20/0.71 % (15636)------------------------------
% 2.20/0.71 % (15636)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.71 % (15636)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.71 % (15636)Termination reason: Unknown
% 2.20/0.71 % (15636)Termination phase: Saturation
% 2.20/0.71
% 2.20/0.71 % (15636)Memory used [KB]: 6140
% 2.20/0.71 % (15636)Time elapsed: 0.033 s
% 2.20/0.71 % (15636)Instructions burned: 51 (million)
% 2.20/0.71 % (15636)------------------------------
% 2.20/0.71 % (15636)------------------------------
% 2.73/0.72 % (15650)Instruction limit reached!
% 2.73/0.72 % (15650)------------------------------
% 2.73/0.72 % (15650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.72 % (15650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.72 % (15650)Termination reason: Unknown
% 2.73/0.72 % (15650)Termination phase: Saturation
% 2.73/0.72
% 2.73/0.72 % (15650)Memory used [KB]: 7036
% 2.73/0.72 % (15650)Time elapsed: 0.257 s
% 2.73/0.72 % (15650)Instructions burned: 99 (million)
% 2.73/0.72 % (15650)------------------------------
% 2.73/0.72 % (15650)------------------------------
% 2.73/0.73 % (15637)Instruction limit reached!
% 2.73/0.73 % (15637)------------------------------
% 2.73/0.73 % (15637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.73 % (15637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.73 % (15637)Termination reason: Unknown
% 2.73/0.73 % (15637)Termination phase: Saturation
% 2.73/0.73
% 2.73/0.73 % (15637)Memory used [KB]: 6780
% 2.73/0.73 % (15637)Time elapsed: 0.037 s
% 2.73/0.73 % (15637)Instructions burned: 51 (million)
% 2.73/0.73 % (15637)------------------------------
% 2.73/0.73 % (15637)------------------------------
% 2.73/0.73 % (15638)Instruction limit reached!
% 2.73/0.73 % (15638)------------------------------
% 2.73/0.73 % (15638)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.73 % (15638)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.73 % (15638)Termination reason: Unknown
% 2.73/0.73 % (15638)Termination phase: Saturation
% 2.73/0.73
% 2.73/0.73 % (15638)Memory used [KB]: 6652
% 2.73/0.73 % (15638)Time elapsed: 0.301 s
% 2.73/0.73 % (15638)Instructions burned: 49 (million)
% 2.73/0.73 % (15638)------------------------------
% 2.73/0.73 % (15638)------------------------------
% 2.73/0.74 % (15644)Instruction limit reached!
% 2.73/0.74 % (15644)------------------------------
% 2.73/0.74 % (15644)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.74 % (15644)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.74 % (15644)Termination reason: Unknown
% 2.73/0.74 % (15644)Termination phase: Saturation
% 2.73/0.74
% 2.73/0.74 % (15644)Memory used [KB]: 6908
% 2.73/0.74 % (15644)Time elapsed: 0.039 s
% 2.73/0.74 % (15644)Instructions burned: 51 (million)
% 2.73/0.74 % (15644)------------------------------
% 2.73/0.74 % (15644)------------------------------
% 2.73/0.75 % (15657)First to succeed.
% 2.73/0.75 % (15678)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.73/0.76 % (15649)Instruction limit reached!
% 2.73/0.76 % (15649)------------------------------
% 2.73/0.76 % (15649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.73/0.76 % (15649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.73/0.76 % (15649)Termination reason: Unknown
% 2.73/0.76 % (15649)Termination phase: Saturation
% 2.73/0.76
% 2.73/0.76 % (15649)Memory used [KB]: 1663
% 2.73/0.76 % (15649)Time elapsed: 0.053 s
% 2.73/0.76 % (15649)Instructions burned: 75 (million)
% 2.73/0.76 % (15649)------------------------------
% 2.73/0.76 % (15649)------------------------------
% 3.06/0.77 TRYING [1]
% 3.06/0.77 TRYING [2]
% 3.06/0.78 % (15660)Instruction limit reached!
% 3.06/0.78 % (15660)------------------------------
% 3.06/0.78 % (15660)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.78 % (15660)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.78 % (15660)Termination reason: Unknown
% 3.06/0.78 % (15660)Termination phase: Saturation
% 3.06/0.78
% 3.06/0.78 % (15660)Memory used [KB]: 7036
% 3.06/0.78 % (15660)Time elapsed: 0.049 s
% 3.06/0.78 % (15660)Instructions burned: 68 (million)
% 3.06/0.78 % (15660)------------------------------
% 3.06/0.78 % (15660)------------------------------
% 3.06/0.79 % (15657)Refutation found. Thanks to Tanya!
% 3.06/0.79 % SZS status Theorem for theBenchmark
% 3.06/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.80 % (15657)------------------------------
% 3.06/0.80 % (15657)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.06/0.80 % (15657)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.06/0.80 % (15657)Termination reason: Refutation
% 3.06/0.80
% 3.06/0.80 % (15657)Memory used [KB]: 7419
% 3.06/0.80 % (15657)Time elapsed: 0.071 s
% 3.06/0.80 % (15657)Instructions burned: 75 (million)
% 3.06/0.80 % (15657)------------------------------
% 3.06/0.80 % (15657)------------------------------
% 3.06/0.80 % (15632)Success in time 0.454 s
%------------------------------------------------------------------------------