TSTP Solution File: ALG124+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n022.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 15:39:49 EDT 2022
% Result : Theorem 2.33s 0.71s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 168
% Syntax : Number of formulae : 751 ( 126 unt; 0 def)
% Number of atoms : 3596 (2461 equ)
% Maximal formula atoms : 132 ( 4 avg)
% Number of connectives : 4507 (1662 ~;1865 |; 848 &)
% ( 132 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 154 ( 152 usr; 153 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3378,plain,
$false,
inference(avatar_sat_refutation,[],[f644,f778,f795,f931,f946,f969,f981,f1105,f1128,f1129,f1159,f1197,f1231,f1238,f1255,f1271,f1272,f1274,f1292,f1326,f1350,f1352,f1354,f1376,f1390,f1409,f1411,f1433,f1451,f1452,f1469,f1480,f1483,f1492,f1577,f1604,f1606,f1616,f1619,f1726,f1729,f1736,f1745,f1747,f1749,f1750,f1753,f1754,f1769,f1772,f1775,f1799,f1864,f1866,f1883,f1885,f1895,f1905,f1913,f1921,f1933,f1943,f1944,f1954,f1956,f1987,f1991,f2001,f2004,f2005,f2010,f2011,f2012,f2048,f2057,f2060,f2070,f2071,f2072,f2080,f2160,f2165,f2169,f2184,f2186,f2192,f2245,f2251,f2257,f2282,f2321,f2325,f2328,f2344,f2356,f2386,f2391,f2433,f2436,f2442,f2445,f2451,f2496,f2500,f2501,f2503,f2508,f2578,f2594,f2606,f2611,f2702,f2717,f2757,f2774,f2781,f2800,f2808,f2820,f2830,f2855,f2861,f2870,f2879,f2891,f2906,f2934,f2955,f2978,f2991,f3010,f3016,f3020,f3083,f3110,f3113,f3114,f3119,f3127,f3152,f3153,f3191,f3242,f3252,f3283,f3284,f3301,f3302,f3303,f3307,f3345,f3348,f3354,f3368]) ).
fof(f3368,plain,
( ~ spl20_112
| ~ spl20_170 ),
inference(avatar_contradiction_clause,[],[f3367]) ).
fof(f3367,plain,
( $false
| ~ spl20_112
| ~ spl20_170 ),
inference(subsumption_resolution,[],[f3366,f1004]) ).
fof(f1004,plain,
( e11 = op1(e12,e10)
| ~ spl20_112 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl20_112
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f3366,plain,
( e11 != op1(e12,e10)
| ~ spl20_170 ),
inference(forward_demodulation,[],[f175,f1283]) ).
fof(f1283,plain,
( e11 = op1(e12,e12)
| ~ spl20_170 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl20_170
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_170])]) ).
fof(f175,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e10,e12) != op1(e12,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e13) != op1(e13,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e13) != op1(e12,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e13,e10) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e12,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3354,plain,
( spl20_183
| ~ spl20_193
| ~ spl20_248 ),
inference(avatar_contradiction_clause,[],[f3353]) ).
fof(f3353,plain,
( $false
| spl20_183
| ~ spl20_193
| ~ spl20_248 ),
inference(subsumption_resolution,[],[f3352,f1370]) ).
fof(f1370,plain,
( e10 != e13
| spl20_183 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f1369,plain,
( spl20_183
<=> e10 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_183])]) ).
fof(f3352,plain,
( e10 = e13
| ~ spl20_193
| ~ spl20_248 ),
inference(forward_demodulation,[],[f1437,f1742]) ).
fof(f1742,plain,
( e10 = op1(e13,e12)
| ~ spl20_248 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1741,plain,
( spl20_248
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_248])]) ).
fof(f1437,plain,
( e13 = op1(e13,e12)
| ~ spl20_193 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1435,plain,
( spl20_193
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_193])]) ).
fof(f3348,plain,
( ~ spl20_64
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f3347,f517,f788]) ).
fof(f788,plain,
( spl20_64
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f517,plain,
( spl20_3
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f3347,plain,
( e12 != op1(e12,e11)
| ~ spl20_3 ),
inference(backward_demodulation,[],[f172,f518]) ).
fof(f518,plain,
( e12 = op1(e11,e11)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f517]) ).
fof(f172,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3345,plain,
( ~ spl20_19
| ~ spl20_76 ),
inference(avatar_contradiction_clause,[],[f3344]) ).
fof(f3344,plain,
( $false
| ~ spl20_19
| ~ spl20_76 ),
inference(subsumption_resolution,[],[f3343,f431]) ).
fof(f431,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e10 != e11
& e12 != e13
& e10 != e13
& e11 != e13
& e11 != e12
& e10 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f3343,plain,
( e12 = e13
| ~ spl20_19
| ~ spl20_76 ),
inference(forward_demodulation,[],[f845,f590]) ).
fof(f590,plain,
( e12 = op1(e12,e13)
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl20_19
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f845,plain,
( e13 = op1(e12,e13)
| ~ spl20_76 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f843,plain,
( spl20_76
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f3307,plain,
( ~ spl20_174
| ~ spl20_182 ),
inference(avatar_split_clause,[],[f2601,f1365,f1307]) ).
fof(f1307,plain,
( spl20_174
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_174])]) ).
fof(f1365,plain,
( spl20_182
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_182])]) ).
fof(f2601,plain,
( e10 != op1(e11,e11)
| ~ spl20_182 ),
inference(forward_demodulation,[],[f183,f1367]) ).
fof(f1367,plain,
( e10 = op1(e11,e10)
| ~ spl20_182 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f183,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3303,plain,
( ~ spl20_65
| ~ spl20_138 ),
inference(avatar_split_clause,[],[f2688,f1112,f792]) ).
fof(f792,plain,
( spl20_65
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f1112,plain,
( spl20_138
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).
fof(f2688,plain,
( e13 != op1(e12,e11)
| ~ spl20_138 ),
inference(forward_demodulation,[],[f197,f1114]) ).
fof(f1114,plain,
( e13 = op1(e13,e11)
| ~ spl20_138 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f197,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3302,plain,
( ~ spl20_65
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f2619,f592,f792]) ).
fof(f592,plain,
( spl20_20
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f2619,plain,
( e13 != op1(e12,e11)
| ~ spl20_20 ),
inference(forward_demodulation,[],[f193,f593]) ).
fof(f593,plain,
( e13 = op1(e12,e12)
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f592]) ).
fof(f193,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3301,plain,
( ~ spl20_63
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f3300,f1002,f784]) ).
fof(f784,plain,
( spl20_63
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f3300,plain,
( e11 != op1(e12,e11)
| ~ spl20_112 ),
inference(forward_demodulation,[],[f191,f1004]) ).
fof(f191,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3284,plain,
( ~ spl20_156
| ~ spl20_103 ),
inference(avatar_split_clause,[],[f2695,f957,f1199]) ).
fof(f1199,plain,
( spl20_156
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_156])]) ).
fof(f957,plain,
( spl20_103
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f2695,plain,
( e13 != op1(e11,e11)
| ~ spl20_103 ),
inference(forward_demodulation,[],[f186,f959]) ).
fof(f959,plain,
( e13 = op1(e11,e13)
| ~ spl20_103 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f186,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3283,plain,
( ~ spl20_173
| ~ spl20_182 ),
inference(avatar_contradiction_clause,[],[f3282]) ).
fof(f3282,plain,
( $false
| ~ spl20_173
| ~ spl20_182 ),
inference(subsumption_resolution,[],[f3281,f432]) ).
fof(f432,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f3281,plain,
( e10 = e11
| ~ spl20_173
| ~ spl20_182 ),
inference(forward_demodulation,[],[f1304,f1367]) ).
fof(f1304,plain,
( e11 = op1(e11,e10)
| ~ spl20_173 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1303,plain,
( spl20_173
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_173])]) ).
fof(f3252,plain,
( ~ spl20_49
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f3251,f896,f721]) ).
fof(f721,plain,
( spl20_49
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f896,plain,
( spl20_89
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f3251,plain,
( e22 != op2(e22,e20)
| ~ spl20_89 ),
inference(forward_demodulation,[],[f1984,f897]) ).
fof(f897,plain,
( e22 = h1(e12)
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f1984,plain,
op2(e22,e20) != h1(e12),
inference(backward_demodulation,[],[f319,f1978]) ).
fof(f1978,plain,
op2(e23,e20) = h1(e12),
inference(forward_demodulation,[],[f291,f85]) ).
fof(f85,plain,
op2(e20,e20) = e23,
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(op2(op2(e20,e20),e20),e20)
& op2(e20,e20) = e23
& e22 = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f291,plain,
op2(op2(e20,e20),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e12)
& op2(op2(op2(e20,e20),e20),e20) = h1(e11)
& op2(e20,e20) = h1(e13)
& e20 = h1(e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f319,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f3242,plain,
( spl20_149
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f2426,f896,f1165]) ).
fof(f1165,plain,
( spl20_149
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f2426,plain,
( e21 = op2(e22,e20)
| ~ spl20_89 ),
inference(backward_demodulation,[],[f1983,f897]) ).
fof(f1983,plain,
e21 = op2(h1(e12),e20),
inference(backward_demodulation,[],[f626,f1978]) ).
fof(f626,plain,
e21 = op2(op2(e23,e20),e20),
inference(backward_demodulation,[],[f86,f85]) ).
fof(f86,plain,
e21 = op2(op2(op2(e20,e20),e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f3191,plain,
( ~ spl20_156
| ~ spl20_138 ),
inference(avatar_split_clause,[],[f2697,f1112,f1199]) ).
fof(f2697,plain,
( e13 != op1(e11,e11)
| ~ spl20_138 ),
inference(forward_demodulation,[],[f216,f1114]) ).
fof(f216,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3153,plain,
( spl20_226
| ~ spl20_168 ),
inference(avatar_split_clause,[],[f3057,f1266,f1627]) ).
fof(f1627,plain,
( spl20_226
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f1266,plain,
( spl20_168
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_168])]) ).
fof(f3057,plain,
( e20 = h4(e13)
| ~ spl20_168 ),
inference(backward_demodulation,[],[f423,f1268]) ).
fof(f1268,plain,
( e20 = op2(e23,e23)
| ~ spl20_168 ),
inference(avatar_component_clause,[],[f1266]) ).
fof(f423,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e11) = op2(op2(op2(e23,e23),e23),e23)
& op2(op2(e23,e23),e23) = h4(e12)
& e23 = h4(e10)
& op2(e23,e23) = h4(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f3152,plain,
( ~ spl20_226
| ~ spl20_166 ),
inference(avatar_split_clause,[],[f3076,f1257,f1627]) ).
fof(f1257,plain,
( spl20_166
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_166])]) ).
fof(f3076,plain,
( e20 != h4(e13)
| ~ spl20_166 ),
inference(forward_demodulation,[],[f1423,f1258]) ).
fof(f1258,plain,
( e20 = op2(e23,e22)
| ~ spl20_166 ),
inference(avatar_component_clause,[],[f1257]) ).
fof(f1423,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f292,f423]) ).
fof(f292,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3127,plain,
( ~ spl20_146
| spl20_92
| ~ spl20_182
| ~ spl20_251 ),
inference(avatar_split_clause,[],[f3126,f1766,f1365,f908,f1149]) ).
fof(f1149,plain,
( spl20_146
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f908,plain,
( spl20_92
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f1766,plain,
( spl20_251
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_251])]) ).
fof(f3126,plain,
( e20 != op2(e21,e20)
| spl20_92
| ~ spl20_182
| ~ spl20_251 ),
inference(forward_demodulation,[],[f3125,f288]) ).
fof(f288,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f3125,plain,
( op2(e21,e20) != h1(e10)
| spl20_92
| ~ spl20_182
| ~ spl20_251 ),
inference(forward_demodulation,[],[f3124,f1367]) ).
fof(f3124,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| spl20_92
| ~ spl20_251 ),
inference(forward_demodulation,[],[f3123,f1767]) ).
fof(f1767,plain,
( e21 = h1(e11)
| ~ spl20_251 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f3123,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| spl20_92 ),
inference(forward_demodulation,[],[f910,f288]) ).
fof(f910,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl20_92 ),
inference(avatar_component_clause,[],[f908]) ).
fof(f3119,plain,
( ~ spl20_51
| ~ spl20_53 ),
inference(avatar_contradiction_clause,[],[f3118]) ).
fof(f3118,plain,
( $false
| ~ spl20_51
| ~ spl20_53 ),
inference(subsumption_resolution,[],[f3117,f436]) ).
fof(f436,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f3117,plain,
( e20 = e21
| ~ spl20_51
| ~ spl20_53 ),
inference(backward_demodulation,[],[f740,f732]) ).
fof(f732,plain,
( e20 = op2(e20,e21)
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f730,plain,
( spl20_51
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f740,plain,
( e21 = op2(e20,e21)
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f738]) ).
fof(f738,plain,
( spl20_53
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f3114,plain,
( ~ spl20_200
| ~ spl20_159 ),
inference(avatar_split_clause,[],[f2711,f1214,f1486]) ).
fof(f1486,plain,
( spl20_200
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_200])]) ).
fof(f1214,plain,
( spl20_159
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_159])]) ).
fof(f2711,plain,
( e23 != op2(e21,e21)
| ~ spl20_159 ),
inference(forward_demodulation,[],[f318,f1216]) ).
fof(f1216,plain,
( e23 = op2(e23,e21)
| ~ spl20_159 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f318,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3113,plain,
( ~ spl20_89
| ~ spl20_164 ),
inference(avatar_contradiction_clause,[],[f3112]) ).
fof(f3112,plain,
( $false
| ~ spl20_89
| ~ spl20_164 ),
inference(subsumption_resolution,[],[f3111,f436]) ).
fof(f3111,plain,
( e20 = e21
| ~ spl20_89
| ~ spl20_164 ),
inference(forward_demodulation,[],[f2426,f1244]) ).
fof(f1244,plain,
( e20 = op2(e22,e20)
| ~ spl20_164 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl20_164
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_164])]) ).
fof(f3110,plain,
( ~ spl20_98
| ~ spl20_143 ),
inference(avatar_split_clause,[],[f3109,f1136,f933]) ).
fof(f933,plain,
( spl20_98
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f1136,plain,
( spl20_143
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f3109,plain,
( e22 != op2(e21,e21)
| ~ spl20_143 ),
inference(forward_demodulation,[],[f332,f1138]) ).
fof(f1138,plain,
( e22 = op2(e22,e21)
| ~ spl20_143 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f332,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3083,plain,
( ~ spl20_89
| ~ spl20_152 ),
inference(avatar_contradiction_clause,[],[f3082]) ).
fof(f3082,plain,
( $false
| ~ spl20_89
| ~ spl20_152 ),
inference(subsumption_resolution,[],[f3081,f433]) ).
fof(f433,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3081,plain,
( e21 = e22
| ~ spl20_89
| ~ spl20_152 ),
inference(backward_demodulation,[],[f897,f1182]) ).
fof(f1182,plain,
( e21 = h1(e12)
| ~ spl20_152 ),
inference(avatar_component_clause,[],[f1181]) ).
fof(f1181,plain,
( spl20_152
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_152])]) ).
fof(f3020,plain,
( ~ spl20_47
| ~ spl20_192 ),
inference(avatar_contradiction_clause,[],[f3019]) ).
fof(f3019,plain,
( $false
| ~ spl20_47
| ~ spl20_192 ),
inference(subsumption_resolution,[],[f3018,f435]) ).
fof(f435,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3018,plain,
( e20 = e22
| ~ spl20_47
| ~ spl20_192 ),
inference(backward_demodulation,[],[f715,f1432]) ).
fof(f1432,plain,
( e20 = op2(e23,e20)
| ~ spl20_192 ),
inference(avatar_component_clause,[],[f1430]) ).
fof(f1430,plain,
( spl20_192
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_192])]) ).
fof(f715,plain,
( e22 = op2(e23,e20)
| ~ spl20_47 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f713,plain,
( spl20_47
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f3016,plain,
( ~ spl20_144
| ~ spl20_149 ),
inference(avatar_split_clause,[],[f3015,f1165,f1141]) ).
fof(f1141,plain,
( spl20_144
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f3015,plain,
( e21 != op2(e21,e20)
| ~ spl20_149 ),
inference(forward_demodulation,[],[f328,f1167]) ).
fof(f1167,plain,
( e21 = op2(e22,e20)
| ~ spl20_149 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f328,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3010,plain,
( spl20_88
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f3009]) ).
fof(f3009,plain,
( $false
| spl20_88
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f3008,f85]) ).
fof(f3008,plain,
( op2(e20,e20) != e23
| spl20_88
| ~ spl20_260 ),
inference(forward_demodulation,[],[f3007,f1844]) ).
fof(f1844,plain,
( e23 = h1(e13)
| ~ spl20_260 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1843,plain,
( spl20_260
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_260])]) ).
fof(f3007,plain,
( op2(e20,e20) != h1(e13)
| spl20_88 ),
inference(forward_demodulation,[],[f3006,f374]) ).
fof(f374,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( op1(e10,e10) = e13
& e11 = op1(op1(op1(e10,e10),e10),e10)
& e12 = op1(op1(e10,e10),e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f3006,plain,
( op2(e20,e20) != h1(op1(e10,e10))
| spl20_88 ),
inference(forward_demodulation,[],[f894,f288]) ).
fof(f894,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl20_88 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f892,plain,
( spl20_88
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f2991,plain,
( ~ spl20_53
| spl20_96
| ~ spl20_180
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f2990,plain,
( $false
| ~ spl20_53
| spl20_96
| ~ spl20_180
| ~ spl20_251 ),
inference(subsumption_resolution,[],[f2989,f740]) ).
fof(f2989,plain,
( e21 != op2(e20,e21)
| spl20_96
| ~ spl20_180
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2988,f1767]) ).
fof(f2988,plain,
( op2(e20,e21) != h1(e11)
| spl20_96
| ~ spl20_180
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2987,f1347]) ).
fof(f1347,plain,
( e11 = op1(e10,e11)
| ~ spl20_180 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1345,plain,
( spl20_180
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_180])]) ).
fof(f2987,plain,
( op2(e20,e21) != h1(op1(e10,e11))
| spl20_96
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2986,f288]) ).
fof(f2986,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| spl20_96
| ~ spl20_251 ),
inference(forward_demodulation,[],[f926,f1767]) ).
fof(f926,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl20_96 ),
inference(avatar_component_clause,[],[f924]) ).
fof(f924,plain,
( spl20_96
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f2978,plain,
( ~ spl20_89
| spl20_97
| ~ spl20_112
| ~ spl20_149
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2977]) ).
fof(f2977,plain,
( $false
| ~ spl20_89
| spl20_97
| ~ spl20_112
| ~ spl20_149
| ~ spl20_251 ),
inference(subsumption_resolution,[],[f2976,f1167]) ).
fof(f2976,plain,
( e21 != op2(e22,e20)
| ~ spl20_89
| spl20_97
| ~ spl20_112
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2975,f1767]) ).
fof(f2975,plain,
( op2(e22,e20) != h1(e11)
| ~ spl20_89
| spl20_97
| ~ spl20_112 ),
inference(forward_demodulation,[],[f2974,f1004]) ).
fof(f2974,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| ~ spl20_89
| spl20_97 ),
inference(forward_demodulation,[],[f2973,f897]) ).
fof(f2973,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| spl20_97 ),
inference(forward_demodulation,[],[f930,f288]) ).
fof(f930,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| spl20_97 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f928,plain,
( spl20_97
<=> h1(op1(e12,e10)) = op2(h1(e12),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f2955,plain,
( ~ spl20_39
| ~ spl20_89
| spl20_93
| ~ spl20_222 ),
inference(avatar_contradiction_clause,[],[f2954]) ).
fof(f2954,plain,
( $false
| ~ spl20_39
| ~ spl20_89
| spl20_93
| ~ spl20_222 ),
inference(subsumption_resolution,[],[f2953,f1591]) ).
fof(f1591,plain,
( e22 = op2(e20,e22)
| ~ spl20_222 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl20_222
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_222])]) ).
fof(f2953,plain,
( e22 != op2(e20,e22)
| ~ spl20_39
| ~ spl20_89
| spl20_93 ),
inference(forward_demodulation,[],[f2952,f897]) ).
fof(f2952,plain,
( op2(e20,e22) != h1(e12)
| ~ spl20_39
| ~ spl20_89
| spl20_93 ),
inference(forward_demodulation,[],[f2951,f678]) ).
fof(f678,plain,
( e12 = op1(e10,e12)
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f676]) ).
fof(f676,plain,
( spl20_39
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f2951,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| ~ spl20_89
| spl20_93 ),
inference(forward_demodulation,[],[f2950,f288]) ).
fof(f2950,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e22)
| ~ spl20_89
| spl20_93 ),
inference(forward_demodulation,[],[f914,f897]) ).
fof(f914,plain,
( h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| spl20_93 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f912,plain,
( spl20_93
<=> h1(op1(e10,e12)) = op2(h1(e10),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f2934,plain,
( ~ spl20_29
| spl20_95
| ~ spl20_141
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2933]) ).
fof(f2933,plain,
( $false
| ~ spl20_29
| spl20_95
| ~ spl20_141
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2932,f1127]) ).
fof(f1127,plain,
( e20 = op2(e20,e23)
| ~ spl20_141 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1125,plain,
( spl20_141
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f2932,plain,
( e20 != op2(e20,e23)
| ~ spl20_29
| spl20_95
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2931,f288]) ).
fof(f2931,plain,
( op2(e20,e23) != h1(e10)
| ~ spl20_29
| spl20_95
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2930,f635]) ).
fof(f635,plain,
( e10 = op1(e10,e13)
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f633,plain,
( spl20_29
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f2930,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| spl20_95
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2929,f288]) ).
fof(f2929,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl20_95
| ~ spl20_260 ),
inference(forward_demodulation,[],[f922,f1844]) ).
fof(f922,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl20_95 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f920,plain,
( spl20_95
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f2906,plain,
( ~ spl20_47
| ~ spl20_72
| ~ spl20_89
| spl20_90
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
fof(f2905,plain,
( $false
| ~ spl20_47
| ~ spl20_72
| ~ spl20_89
| spl20_90
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2904,f715]) ).
fof(f2904,plain,
( e22 != op2(e23,e20)
| ~ spl20_72
| ~ spl20_89
| spl20_90
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2903,f897]) ).
fof(f2903,plain,
( op2(e23,e20) != h1(e12)
| ~ spl20_72
| spl20_90
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2902,f828]) ).
fof(f828,plain,
( e12 = op1(e13,e10)
| ~ spl20_72 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl20_72
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f2902,plain,
( op2(e23,e20) != h1(op1(e13,e10))
| spl20_90
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2901,f1844]) ).
fof(f2901,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| spl20_90 ),
inference(forward_demodulation,[],[f902,f288]) ).
fof(f902,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl20_90 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f900,plain,
( spl20_90
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f2891,plain,
( ~ spl20_89
| spl20_94
| ~ spl20_166
| ~ spl20_248
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2890]) ).
fof(f2890,plain,
( $false
| ~ spl20_89
| spl20_94
| ~ spl20_166
| ~ spl20_248
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2889,f1258]) ).
fof(f2889,plain,
( e20 != op2(e23,e22)
| ~ spl20_89
| spl20_94
| ~ spl20_248
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2888,f288]) ).
fof(f2888,plain,
( op2(e23,e22) != h1(e10)
| ~ spl20_89
| spl20_94
| ~ spl20_248
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2887,f1742]) ).
fof(f2887,plain,
( op2(e23,e22) != h1(op1(e13,e12))
| ~ spl20_89
| spl20_94
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2886,f1844]) ).
fof(f2886,plain,
( h1(op1(e13,e12)) != op2(h1(e13),e22)
| ~ spl20_89
| spl20_94 ),
inference(forward_demodulation,[],[f918,f897]) ).
fof(f918,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl20_94 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f916,plain,
( spl20_94
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f2879,plain,
( ~ spl20_15
| spl20_86
| ~ spl20_153
| ~ spl20_251
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2878]) ).
fof(f2878,plain,
( $false
| ~ spl20_15
| spl20_86
| ~ spl20_153
| ~ spl20_251
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2877,f572]) ).
fof(f572,plain,
( e21 = op2(e23,e23)
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl20_15
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f2877,plain,
( e21 != op2(e23,e23)
| spl20_86
| ~ spl20_153
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2876,f1767]) ).
fof(f2876,plain,
( op2(e23,e23) != h1(e11)
| spl20_86
| ~ spl20_153
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2875,f1188]) ).
fof(f1188,plain,
( e11 = op1(e13,e13)
| ~ spl20_153 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1186,plain,
( spl20_153
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_153])]) ).
fof(f2875,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl20_86
| ~ spl20_260 ),
inference(forward_demodulation,[],[f886,f1844]) ).
fof(f886,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl20_86 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f884,plain,
( spl20_86
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f2870,plain,
( ~ spl20_3
| spl20_85
| ~ spl20_89
| ~ spl20_98
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2869]) ).
fof(f2869,plain,
( $false
| ~ spl20_3
| spl20_85
| ~ spl20_89
| ~ spl20_98
| ~ spl20_251 ),
inference(subsumption_resolution,[],[f2868,f935]) ).
fof(f935,plain,
( e22 = op2(e21,e21)
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f2868,plain,
( e22 != op2(e21,e21)
| ~ spl20_3
| spl20_85
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2867,f897]) ).
fof(f2867,plain,
( op2(e21,e21) != h1(e12)
| ~ spl20_3
| spl20_85
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2866,f518]) ).
fof(f2866,plain,
( op2(e21,e21) != h1(op1(e11,e11))
| spl20_85
| ~ spl20_251 ),
inference(forward_demodulation,[],[f882,f1767]) ).
fof(f882,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl20_85 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl20_85
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f2861,plain,
( ~ spl20_62
| spl20_84
| ~ spl20_89
| ~ spl20_105
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2860]) ).
fof(f2860,plain,
( $false
| ~ spl20_62
| spl20_84
| ~ spl20_89
| ~ spl20_105
| ~ spl20_251 ),
inference(subsumption_resolution,[],[f2859,f968]) ).
fof(f968,plain,
( e20 = op2(e22,e21)
| ~ spl20_105 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f966,plain,
( spl20_105
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f2859,plain,
( e20 != op2(e22,e21)
| ~ spl20_62
| spl20_84
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2858,f288]) ).
fof(f2858,plain,
( op2(e22,e21) != h1(e10)
| ~ spl20_62
| spl20_84
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2857,f782]) ).
fof(f782,plain,
( e10 = op1(e12,e11)
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f780,plain,
( spl20_62
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f2857,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| spl20_84
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2856,f897]) ).
fof(f2856,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e21)
| spl20_84
| ~ spl20_251 ),
inference(forward_demodulation,[],[f878,f1767]) ).
fof(f878,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl20_84 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f876,plain,
( spl20_84
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f2855,plain,
( ~ spl20_59
| spl20_82
| ~ spl20_103
| ~ spl20_251
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2854]) ).
fof(f2854,plain,
( $false
| ~ spl20_59
| spl20_82
| ~ spl20_103
| ~ spl20_251
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2853,f768]) ).
fof(f768,plain,
( e23 = op2(e21,e23)
| ~ spl20_59 ),
inference(avatar_component_clause,[],[f766]) ).
fof(f766,plain,
( spl20_59
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f2853,plain,
( e23 != op2(e21,e23)
| spl20_82
| ~ spl20_103
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2852,f1844]) ).
fof(f2852,plain,
( op2(e21,e23) != h1(e13)
| spl20_82
| ~ spl20_103
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2851,f959]) ).
fof(f2851,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| spl20_82
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2850,f1767]) ).
fof(f2850,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl20_82
| ~ spl20_260 ),
inference(forward_demodulation,[],[f870,f1844]) ).
fof(f870,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl20_82 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f868,plain,
( spl20_82
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f2830,plain,
( ~ spl20_2
| ~ spl20_45
| spl20_81
| ~ spl20_89
| ~ spl20_251 ),
inference(avatar_contradiction_clause,[],[f2829]) ).
fof(f2829,plain,
( $false
| ~ spl20_2
| ~ spl20_45
| spl20_81
| ~ spl20_89
| ~ spl20_251 ),
inference(subsumption_resolution,[],[f2828,f704]) ).
fof(f704,plain,
( e21 = op2(e21,e22)
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl20_45
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f2828,plain,
( e21 != op2(e21,e22)
| ~ spl20_2
| spl20_81
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2827,f1767]) ).
fof(f2827,plain,
( op2(e21,e22) != h1(e11)
| ~ spl20_2
| spl20_81
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2826,f515]) ).
fof(f515,plain,
( e11 = op1(e11,e12)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl20_2
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f2826,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| spl20_81
| ~ spl20_89
| ~ spl20_251 ),
inference(forward_demodulation,[],[f2825,f1767]) ).
fof(f2825,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| spl20_81
| ~ spl20_89 ),
inference(forward_demodulation,[],[f866,f897]) ).
fof(f866,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl20_81 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f864,plain,
( spl20_81
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f2820,plain,
( ~ spl20_21
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f2464,f609,f597]) ).
fof(f597,plain,
( spl20_21
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f609,plain,
( spl20_24
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f2464,plain,
( e22 != op2(e20,e23)
| ~ spl20_24 ),
inference(forward_demodulation,[],[f320,f611]) ).
fof(f611,plain,
( e22 = op2(e22,e23)
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f320,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2808,plain,
( ~ spl20_15
| ~ spl20_168 ),
inference(avatar_contradiction_clause,[],[f2807]) ).
fof(f2807,plain,
( $false
| ~ spl20_15
| ~ spl20_168 ),
inference(subsumption_resolution,[],[f2806,f436]) ).
fof(f2806,plain,
( e20 = e21
| ~ spl20_15
| ~ spl20_168 ),
inference(backward_demodulation,[],[f572,f1268]) ).
fof(f2800,plain,
( ~ spl20_19
| ~ spl20_24
| spl20_80
| ~ spl20_89
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2799]) ).
fof(f2799,plain,
( $false
| ~ spl20_19
| ~ spl20_24
| spl20_80
| ~ spl20_89
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2798,f611]) ).
fof(f2798,plain,
( e22 != op2(e22,e23)
| ~ spl20_19
| spl20_80
| ~ spl20_89
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2797,f897]) ).
fof(f2797,plain,
( op2(e22,e23) != h1(e12)
| ~ spl20_19
| spl20_80
| ~ spl20_89
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2796,f590]) ).
fof(f2796,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| spl20_80
| ~ spl20_89
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2795,f897]) ).
fof(f2795,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| spl20_80
| ~ spl20_260 ),
inference(forward_demodulation,[],[f862,f1844]) ).
fof(f862,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl20_80 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl20_80
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f2781,plain,
( ~ spl20_7
| ~ spl20_161 ),
inference(avatar_split_clause,[],[f2780,f1223,f535]) ).
fof(f535,plain,
( spl20_7
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f1223,plain,
( spl20_161
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_161])]) ).
fof(f2780,plain,
( e21 != op2(e20,e23)
| ~ spl20_161 ),
inference(forward_demodulation,[],[f1424,f1224]) ).
fof(f1224,plain,
( e21 = h4(e13)
| ~ spl20_161 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1424,plain,
op2(e20,e23) != h4(e13),
inference(backward_demodulation,[],[f301,f423]) ).
fof(f301,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2774,plain,
( ~ spl20_27
| ~ spl20_166 ),
inference(avatar_split_clause,[],[f2657,f1257,f622]) ).
fof(f622,plain,
( spl20_27
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f2657,plain,
( e20 != op2(e20,e22)
| ~ spl20_166 ),
inference(forward_demodulation,[],[f313,f1258]) ).
fof(f313,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2757,plain,
( ~ spl20_20
| ~ spl20_35
| spl20_79
| ~ spl20_89
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2756]) ).
fof(f2756,plain,
( $false
| ~ spl20_20
| ~ spl20_35
| spl20_79
| ~ spl20_89
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2755,f661]) ).
fof(f661,plain,
( e23 = op2(e22,e22)
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl20_35
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f2755,plain,
( e23 != op2(e22,e22)
| ~ spl20_20
| spl20_79
| ~ spl20_89
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2754,f1844]) ).
fof(f2754,plain,
( op2(e22,e22) != h1(e13)
| ~ spl20_20
| spl20_79
| ~ spl20_89 ),
inference(forward_demodulation,[],[f2753,f593]) ).
fof(f2753,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| spl20_79
| ~ spl20_89 ),
inference(forward_demodulation,[],[f858,f897]) ).
fof(f858,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl20_79 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f856,plain,
( spl20_79
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f2717,plain,
( spl20_91
| ~ spl20_138
| ~ spl20_159
| ~ spl20_251
| ~ spl20_260 ),
inference(avatar_contradiction_clause,[],[f2716]) ).
fof(f2716,plain,
( $false
| spl20_91
| ~ spl20_138
| ~ spl20_159
| ~ spl20_251
| ~ spl20_260 ),
inference(subsumption_resolution,[],[f2659,f1216]) ).
fof(f2659,plain,
( e23 != op2(e23,e21)
| spl20_91
| ~ spl20_138
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2658,f1844]) ).
fof(f2658,plain,
( op2(e23,e21) != h1(e13)
| spl20_91
| ~ spl20_138
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2288,f1114]) ).
fof(f2288,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| spl20_91
| ~ spl20_251
| ~ spl20_260 ),
inference(forward_demodulation,[],[f2287,f1844]) ).
fof(f2287,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| spl20_91
| ~ spl20_251 ),
inference(forward_demodulation,[],[f906,f1767]) ).
fof(f906,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl20_91 ),
inference(avatar_component_clause,[],[f904]) ).
fof(f904,plain,
( spl20_91
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f2702,plain,
( ~ spl20_42
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f2701,f702,f690]) ).
fof(f690,plain,
( spl20_42
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f2701,plain,
( e21 != op2(e20,e22)
| ~ spl20_45 ),
inference(forward_demodulation,[],[f322,f704]) ).
fof(f322,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2611,plain,
( ~ spl20_36
| ~ spl20_190 ),
inference(avatar_split_clause,[],[f2608,f1404,f663]) ).
fof(f663,plain,
( spl20_36
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f1404,plain,
( spl20_190
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f2608,plain,
( e23 != op2(e21,e22)
| ~ spl20_190 ),
inference(backward_demodulation,[],[f1778,f1405]) ).
fof(f1405,plain,
( e23 = h3(e13)
| ~ spl20_190 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f1778,plain,
op2(e21,e22) != h3(e13),
inference(backward_demodulation,[],[f316,f82]) ).
fof(f82,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e22 = h3(e10)
& op2(e22,e22) = h3(e13)
& op2(op2(e22,e22),e22) = h3(e12)
& h3(e11) = op2(op2(op2(e22,e22),e22),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f316,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2606,plain,
( ~ spl20_219
| ~ spl20_98 ),
inference(avatar_split_clause,[],[f2605,f933,f1574]) ).
fof(f1574,plain,
( spl20_219
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_219])]) ).
fof(f2605,plain,
( e22 != op2(e21,e22)
| ~ spl20_98 ),
inference(forward_demodulation,[],[f335,f935]) ).
fof(f335,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2594,plain,
( ~ spl20_159
| ~ spl20_160 ),
inference(avatar_contradiction_clause,[],[f2593]) ).
fof(f2593,plain,
( $false
| ~ spl20_159
| ~ spl20_160 ),
inference(subsumption_resolution,[],[f2592,f437]) ).
fof(f437,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2592,plain,
( e21 = e23
| ~ spl20_159
| ~ spl20_160 ),
inference(forward_demodulation,[],[f1216,f1220]) ).
fof(f1220,plain,
( e21 = op2(e23,e21)
| ~ spl20_160 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl20_160
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_160])]) ).
fof(f2578,plain,
( ~ spl20_72
| ~ spl20_184 ),
inference(avatar_contradiction_clause,[],[f2577]) ).
fof(f2577,plain,
( $false
| ~ spl20_72
| ~ spl20_184 ),
inference(subsumption_resolution,[],[f2576,f427]) ).
fof(f427,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2576,plain,
( e10 = e12
| ~ spl20_72
| ~ spl20_184 ),
inference(backward_demodulation,[],[f828,f1375]) ).
fof(f1375,plain,
( e10 = op1(e13,e10)
| ~ spl20_184 ),
inference(avatar_component_clause,[],[f1373]) ).
fof(f1373,plain,
( spl20_184
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_184])]) ).
fof(f2508,plain,
( ~ spl20_20
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f2507,f843,f592]) ).
fof(f2507,plain,
( e13 != op1(e12,e12)
| ~ spl20_76 ),
inference(forward_demodulation,[],[f194,f845]) ).
fof(f194,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2503,plain,
( ~ spl20_161
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f2502,f562,f1223]) ).
fof(f562,plain,
( spl20_13
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f2502,plain,
( e21 != h4(e13)
| ~ spl20_13 ),
inference(forward_demodulation,[],[f1425,f564]) ).
fof(f564,plain,
( e21 = op2(e21,e23)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f1425,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[],[f327,f423]) ).
fof(f327,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2501,plain,
( ~ spl20_57
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f2425,f896,f756]) ).
fof(f756,plain,
( spl20_57
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f2425,plain,
( e22 != h4(e13)
| ~ spl20_89 ),
inference(backward_demodulation,[],[f1980,f897]) ).
fof(f1980,plain,
h1(e12) != h4(e13),
inference(backward_demodulation,[],[f1617,f1978]) ).
fof(f1617,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f310,f423]) ).
fof(f310,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2500,plain,
( ~ spl20_35
| spl20_190 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2499,plain,
( $false
| ~ spl20_35
| spl20_190 ),
inference(subsumption_resolution,[],[f2498,f1406]) ).
fof(f1406,plain,
( e23 != h3(e13)
| spl20_190 ),
inference(avatar_component_clause,[],[f1404]) ).
fof(f2498,plain,
( e23 = h3(e13)
| ~ spl20_35 ),
inference(forward_demodulation,[],[f82,f661]) ).
fof(f2496,plain,
( ~ spl20_154
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f2495,f633,f1190]) ).
fof(f1190,plain,
( spl20_154
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_154])]) ).
fof(f2495,plain,
( e10 != op1(e13,e13)
| ~ spl20_29 ),
inference(forward_demodulation,[],[f204,f635]) ).
fof(f204,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2451,plain,
( ~ spl20_62
| ~ spl20_64 ),
inference(avatar_contradiction_clause,[],[f2450]) ).
fof(f2450,plain,
( $false
| ~ spl20_62
| ~ spl20_64 ),
inference(subsumption_resolution,[],[f2449,f427]) ).
fof(f2449,plain,
( e10 = e12
| ~ spl20_62
| ~ spl20_64 ),
inference(forward_demodulation,[],[f790,f782]) ).
fof(f790,plain,
( e12 = op1(e12,e11)
| ~ spl20_64 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f2445,plain,
( ~ spl20_37
| ~ spl20_166
| spl20_188 ),
inference(avatar_contradiction_clause,[],[f2444]) ).
fof(f2444,plain,
( $false
| ~ spl20_37
| ~ spl20_166
| spl20_188 ),
inference(subsumption_resolution,[],[f2443,f1395]) ).
fof(f1395,plain,
( e20 != e23
| spl20_188 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1393,plain,
( spl20_188
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).
fof(f2443,plain,
( e20 = e23
| ~ spl20_37
| ~ spl20_166 ),
inference(forward_demodulation,[],[f669,f1258]) ).
fof(f669,plain,
( e23 = op2(e23,e22)
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl20_37
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f2442,plain,
( ~ spl20_28
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f2418,f780,f629]) ).
fof(f629,plain,
( spl20_28
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f2418,plain,
( e10 != op1(e10,e11)
| ~ spl20_62 ),
inference(forward_demodulation,[],[f171,f782]) ).
fof(f171,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2436,plain,
( ~ spl20_150
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f2435,f896,f1171]) ).
fof(f1171,plain,
( spl20_150
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_150])]) ).
fof(f2435,plain,
( e22 != op2(e23,e21)
| ~ spl20_89 ),
inference(forward_demodulation,[],[f1979,f897]) ).
fof(f1979,plain,
op2(e23,e21) != h1(e12),
inference(backward_demodulation,[],[f293,f1978]) ).
fof(f293,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2433,plain,
( ~ spl20_102
| ~ spl20_103 ),
inference(avatar_contradiction_clause,[],[f2432]) ).
fof(f2432,plain,
( $false
| ~ spl20_102
| ~ spl20_103 ),
inference(subsumption_resolution,[],[f2431,f429]) ).
fof(f429,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2431,plain,
( e11 = e13
| ~ spl20_102
| ~ spl20_103 ),
inference(backward_demodulation,[],[f959,f955]) ).
fof(f955,plain,
( e11 = op1(e11,e13)
| ~ spl20_102 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl20_102
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f2391,plain,
( spl20_254
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2388,f775,f1795]) ).
fof(f1795,plain,
( spl20_254
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_254])]) ).
fof(f775,plain,
( spl20_61
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f2388,plain,
( e20 = h3(e13)
| ~ spl20_61 ),
inference(backward_demodulation,[],[f82,f776]) ).
fof(f776,plain,
( e20 = op2(e22,e22)
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f775]) ).
fof(f2386,plain,
( ~ spl20_151
| ~ spl20_182 ),
inference(avatar_contradiction_clause,[],[f2385]) ).
fof(f2385,plain,
( $false
| ~ spl20_151
| ~ spl20_182 ),
inference(subsumption_resolution,[],[f2384,f1367]) ).
fof(f2384,plain,
( e10 != op1(e11,e10)
| ~ spl20_151 ),
inference(forward_demodulation,[],[f187,f1177]) ).
fof(f1177,plain,
( e10 = op1(e11,e12)
| ~ spl20_151 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl20_151
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f187,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2356,plain,
( ~ spl20_28
| ~ spl20_180 ),
inference(avatar_contradiction_clause,[],[f2355]) ).
fof(f2355,plain,
( $false
| ~ spl20_28
| ~ spl20_180 ),
inference(subsumption_resolution,[],[f2354,f432]) ).
fof(f2354,plain,
( e10 = e11
| ~ spl20_28
| ~ spl20_180 ),
inference(backward_demodulation,[],[f1347,f631]) ).
fof(f631,plain,
( e10 = op1(e10,e11)
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f2344,plain,
( ~ spl20_19
| ~ spl20_134 ),
inference(avatar_split_clause,[],[f2343,f1093,f588]) ).
fof(f1093,plain,
( spl20_134
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_134])]) ).
fof(f2343,plain,
( e12 != op1(e12,e13)
| ~ spl20_134 ),
inference(backward_demodulation,[],[f214,f1095]) ).
fof(f1095,plain,
( e12 = op1(e10,e13)
| ~ spl20_134 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f214,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2328,plain,
( spl20_57
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f2327,f601,f756]) ).
fof(f601,plain,
( spl20_22
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f2327,plain,
( e22 = h4(e13)
| ~ spl20_22 ),
inference(forward_demodulation,[],[f423,f603]) ).
fof(f603,plain,
( e22 = op2(e23,e23)
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f2325,plain,
( ~ spl20_228
| ~ spl20_149 ),
inference(avatar_split_clause,[],[f2324,f1165,f1637]) ).
fof(f1637,plain,
( spl20_228
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_228])]) ).
fof(f2324,plain,
( e21 != h3(e13)
| ~ spl20_149 ),
inference(forward_demodulation,[],[f1781,f1167]) ).
fof(f1781,plain,
op2(e22,e20) != h3(e13),
inference(backward_demodulation,[],[f300,f82]) ).
fof(f300,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2321,plain,
( ~ spl20_138
| ~ spl20_140 ),
inference(avatar_contradiction_clause,[],[f2320]) ).
fof(f2320,plain,
( $false
| ~ spl20_138
| ~ spl20_140 ),
inference(subsumption_resolution,[],[f2319,f429]) ).
fof(f2319,plain,
( e11 = e13
| ~ spl20_138
| ~ spl20_140 ),
inference(backward_demodulation,[],[f1114,f1122]) ).
fof(f1122,plain,
( e11 = op1(e13,e11)
| ~ spl20_140 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl20_140
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_140])]) ).
fof(f2282,plain,
( ~ spl20_158
| ~ spl20_146 ),
inference(avatar_split_clause,[],[f2281,f1149,f1209]) ).
fof(f1209,plain,
( spl20_158
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_158])]) ).
fof(f2281,plain,
( e20 != op2(e21,e22)
| ~ spl20_146 ),
inference(forward_demodulation,[],[f296,f1151]) ).
fof(f1151,plain,
( e20 = op2(e21,e20)
| ~ spl20_146 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f296,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2257,plain,
( ~ spl20_30
| ~ spl20_39 ),
inference(avatar_contradiction_clause,[],[f2256]) ).
fof(f2256,plain,
( $false
| ~ spl20_30
| ~ spl20_39 ),
inference(subsumption_resolution,[],[f2255,f427]) ).
fof(f2255,plain,
( e10 = e12
| ~ spl20_30
| ~ spl20_39 ),
inference(forward_demodulation,[],[f678,f639]) ).
fof(f639,plain,
( e10 = op1(e10,e12)
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f637,plain,
( spl20_30
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f2251,plain,
( ~ spl20_112
| ~ spl20_113 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2250,plain,
( $false
| ~ spl20_112
| ~ spl20_113 ),
inference(subsumption_resolution,[],[f2249,f432]) ).
fof(f2249,plain,
( e10 = e11
| ~ spl20_112
| ~ spl20_113 ),
inference(forward_demodulation,[],[f1004,f1008]) ).
fof(f1008,plain,
( e10 = op1(e12,e10)
| ~ spl20_113 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl20_113
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f2245,plain,
( ~ spl20_108
| ~ spl20_138
| spl20_183 ),
inference(avatar_contradiction_clause,[],[f2244]) ).
fof(f2244,plain,
( $false
| ~ spl20_108
| ~ spl20_138
| spl20_183 ),
inference(subsumption_resolution,[],[f2243,f1370]) ).
fof(f2243,plain,
( e10 = e13
| ~ spl20_108
| ~ spl20_138 ),
inference(forward_demodulation,[],[f1114,f985]) ).
fof(f985,plain,
( e10 = op1(e13,e11)
| ~ spl20_108 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f983,plain,
( spl20_108
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f2192,plain,
( spl20_161
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f2190,f570,f1223]) ).
fof(f2190,plain,
( e21 = h4(e13)
| ~ spl20_15 ),
inference(backward_demodulation,[],[f423,f572]) ).
fof(f2186,plain,
( ~ spl20_226
| ~ spl20_141 ),
inference(avatar_split_clause,[],[f2182,f1125,f1627]) ).
fof(f2182,plain,
( e20 != h4(e13)
| ~ spl20_141 ),
inference(backward_demodulation,[],[f1424,f1127]) ).
fof(f2184,plain,
( ~ spl20_51
| ~ spl20_141 ),
inference(avatar_split_clause,[],[f2183,f1125,f730]) ).
fof(f2183,plain,
( e20 != op2(e20,e21)
| ~ spl20_141 ),
inference(backward_demodulation,[],[f312,f1127]) ).
fof(f312,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2169,plain,
( ~ spl20_195
| ~ spl20_3 ),
inference(avatar_split_clause,[],[f2167,f517,f1447]) ).
fof(f1447,plain,
( spl20_195
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f2167,plain,
( e12 != op1(e11,e12)
| ~ spl20_3 ),
inference(backward_demodulation,[],[f202,f518]) ).
fof(f202,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2165,plain,
( spl20_188
| ~ spl20_69
| ~ spl20_159 ),
inference(avatar_split_clause,[],[f2164,f1214,f810,f1393]) ).
fof(f810,plain,
( spl20_69
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f2164,plain,
( e20 = e23
| ~ spl20_69
| ~ spl20_159 ),
inference(backward_demodulation,[],[f1216,f811]) ).
fof(f811,plain,
( e20 = op2(e23,e21)
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f810]) ).
fof(f2160,plain,
( ~ spl20_104
| ~ spl20_146 ),
inference(avatar_split_clause,[],[f2157,f1149,f962]) ).
fof(f962,plain,
( spl20_104
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f2157,plain,
( e20 != op2(e21,e21)
| ~ spl20_146 ),
inference(backward_demodulation,[],[f334,f1151]) ).
fof(f334,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2080,plain,
( ~ spl20_190
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f2075,f667,f1404]) ).
fof(f2075,plain,
( e23 != h3(e13)
| ~ spl20_37 ),
inference(backward_demodulation,[],[f1779,f669]) ).
fof(f1779,plain,
op2(e23,e22) != h3(e13),
inference(backward_demodulation,[],[f295,f82]) ).
fof(f295,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2072,plain,
( ~ spl20_135
| ~ spl20_72 ),
inference(avatar_split_clause,[],[f2069,f826,f1097]) ).
fof(f1097,plain,
( spl20_135
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_135])]) ).
fof(f2069,plain,
( e12 != op1(e13,e13)
| ~ spl20_72 ),
inference(backward_demodulation,[],[f176,f828]) ).
fof(f176,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2071,plain,
( ~ spl20_268
| ~ spl20_72 ),
inference(avatar_split_clause,[],[f2067,f826,f1915]) ).
fof(f1915,plain,
( spl20_268
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_268])]) ).
fof(f2067,plain,
( e12 != op1(e13,e12)
| ~ spl20_72 ),
inference(backward_demodulation,[],[f212,f828]) ).
fof(f212,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2070,plain,
( ~ spl20_54
| ~ spl20_72 ),
inference(avatar_split_clause,[],[f2068,f826,f743]) ).
fof(f743,plain,
( spl20_54
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f2068,plain,
( e12 != op1(e12,e10)
| ~ spl20_72 ),
inference(backward_demodulation,[],[f174,f828]) ).
fof(f174,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2060,plain,
( spl20_89
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f2059,f713,f896]) ).
fof(f2059,plain,
( e22 = h1(e12)
| ~ spl20_47 ),
inference(backward_demodulation,[],[f1978,f715]) ).
fof(f2057,plain,
( ~ spl20_254
| ~ spl20_105 ),
inference(avatar_split_clause,[],[f2050,f966,f1795]) ).
fof(f2050,plain,
( e20 != h3(e13)
| ~ spl20_105 ),
inference(backward_demodulation,[],[f1945,f968]) ).
fof(f1945,plain,
op2(e22,e21) != h3(e13),
inference(forward_demodulation,[],[f336,f82]) ).
fof(f336,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2048,plain,
( spl20_228
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f2047,f698,f1637]) ).
fof(f698,plain,
( spl20_44
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f2047,plain,
( e21 = h3(e13)
| ~ spl20_44 ),
inference(backward_demodulation,[],[f82,f700]) ).
fof(f700,plain,
( e21 = op2(e22,e22)
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f2012,plain,
( spl20_187
| spl20_20
| spl20_170
| spl20_55 ),
inference(avatar_split_clause,[],[f87,f747,f1281,f592,f1387]) ).
fof(f1387,plain,
( spl20_187
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f747,plain,
( spl20_55
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f87,plain,
( e10 = op1(e12,e12)
| e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e11 )
& ( e10 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e11)
| e10 = op1(e12,e11)
| e13 = op1(e12,e11)
| e11 = op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e11 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10)
| e12 = op1(e11,e10) )
& ( e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e13 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e13 = op1(e12,e13)
| e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e11 = op1(e11,e12) )
& ( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10) )
& ( e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2011,plain,
( spl20_145
| spl20_59
| spl20_36
| spl20_200 ),
inference(avatar_split_clause,[],[f400,f1486,f663,f766,f1145]) ).
fof(f1145,plain,
( spl20_145
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_145])]) ).
fof(f400,plain,
( e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23) )
& ( e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 )
& ( e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| e21 = op2(e23,e22) )
& ( e20 = op2(e20,e23)
| e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e23,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e21,e21) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22) )
& ( e21 = op2(e21,e21)
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22) )
& ( op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) )
& ( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e23,e21) )
& ( e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e21)
| e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23) )
& ( e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22) )
& ( e20 = op2(e23,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21) )
& ( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) )
& ( e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22)
| e23 = op2(e22,e22) )
& ( e22 = op2(e23,e21)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22) )
& ( e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22)
| e20 = op2(e20,e22) )
& ( e22 = op2(e22,e20)
| e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e21,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2010,plain,
( ~ spl20_32
| spl20_138
| ~ spl20_153 ),
inference(avatar_split_clause,[],[f236,f1186,f1112,f646]) ).
fof(f646,plain,
( spl20_32
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f236,plain,
( e11 != op1(e13,e13)
| e13 = op1(e13,e11)
| ~ sP14 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e13,e10)
| e10 = op1(e13,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e12,e13)
| e13 = op1(e12,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e11 != op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& ( e11 != op1(e12,e11)
| e11 = op1(e12,e11) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e13,e10)
| e10 = op1(e13,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e12,e13)
| e13 = op1(e12,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e11 != op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& ( e11 != op1(e12,e11)
| e11 = op1(e12,e11) ) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f2005,plain,
( spl20_155
| spl20_76
| spl20_103
| spl20_136 ),
inference(avatar_split_clause,[],[f352,f1102,f957,f843,f1194]) ).
fof(f1194,plain,
( spl20_155
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f1102,plain,
( spl20_136
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_136])]) ).
fof(f352,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| e11 = op1(e12,e11) )
& ( e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e12,e12) )
& ( e11 = op1(e11,e10)
| e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e12 = op1(e11,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) )
& ( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11) )
& ( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e13)
| e10 = op1(e12,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12) )
& ( e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| op1(e10,e10) = e13
| e13 = op1(e12,e10)
| e13 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e11 = op1(e11,e13)
| e11 = op1(e10,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10) )
& ( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e12,e13) )
& ( e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e10,e11) )
& ( e13 = op1(e10,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11) )
& ( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e13,e12)
| e13 = op1(e12,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13)
| e10 = op1(e13,e13) )
& ( e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12
| e12 = op1(e10,e11) )
& ( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) )
& ( op1(e10,e10) = e11
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2004,plain,
~ spl20_31,
inference(avatar_split_clause,[],[f284,f641]) ).
fof(f641,plain,
( spl20_31
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f284,plain,
e10 != op1(e10,e10),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e11 != op1(e11,e11)
& ( sP15
| sP14
| sP13
| sP12 )
& e12 != op1(e12,e12)
& e10 != op1(e10,e10)
& e13 != op1(e13,e13) ),
inference(definition_folding,[],[f10,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( ( e10 != op1(e11,e12)
| e12 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 != op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) ) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 != op1(e13,e10)
| e10 = op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e13 != op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) ) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( ( e12 != op1(e13,e11)
| e11 = op1(e13,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f10,axiom,
( e11 != op1(e11,e11)
& ( ( ( e12 != op1(e13,e11)
| e11 = op1(e13,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ( ( e11 != op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e11 = op1(e10,e11)
| e11 != op1(e10,e11) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) != e11
| e10 = op1(e10,e11) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( e11 != op1(e13,e10)
| e10 = op1(e13,e11) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e11 != op1(e12,e13)
| e13 = op1(e12,e11) )
& ( e11 != op1(e12,e10)
| e10 = op1(e12,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e12 = op1(e10,e11)
| e11 != op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e11 != op1(e10,e13) )
& ( e11 != op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e11 != op1(e13,e13)
| e13 = op1(e13,e11) )
& ( e11 != op1(e12,e11)
| e11 = op1(e12,e11) ) )
| ( ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 != op1(e13,e10)
| e10 = op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e13 != op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) ) )
| ( ( e10 != op1(e11,e12)
| e12 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 != op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) ) ) )
& e12 != op1(e12,e12)
& e10 != op1(e10,e10)
& e13 != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f2001,plain,
( spl20_43
| spl20_160
| spl20_15
| spl20_152 ),
inference(avatar_split_clause,[],[f2000,f1181,f570,f1218,f694]) ).
fof(f694,plain,
( spl20_43
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f2000,plain,
( e21 = h1(e12)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f395,f1978]) ).
fof(f395,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1991,plain,
( spl20_18
| ~ spl20_17
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f238,f646,f579,f583]) ).
fof(f583,plain,
( spl20_18
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f579,plain,
( spl20_17
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f238,plain,
( ~ sP14
| e11 != op1(e10,e13)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f57]) ).
fof(f1987,plain,
~ spl20_177,
inference(avatar_split_clause,[],[f1986,f1323]) ).
fof(f1323,plain,
( spl20_177
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_177])]) ).
fof(f1986,plain,
e13 != op1(e13,e10),
inference(forward_demodulation,[],[f205,f374]) ).
fof(f205,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1956,plain,
( spl20_38
| spl20_27
| spl20_42
| spl20_222 ),
inference(avatar_split_clause,[],[f384,f1589,f690,f622,f671]) ).
fof(f671,plain,
( spl20_38
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f384,plain,
( e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e21 = op2(e21,e22) )
& ( e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e21
| op2(e20,e20) = e22 )
& ( e22 = op2(e23,e20)
| e23 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e20 = op2(e20,e23)
| e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22) )
& ( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23) )
& ( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e22 = op2(e22,e22)
| e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1954,plain,
( spl20_104
| spl20_98
| spl20_162
| spl20_200 ),
inference(avatar_split_clause,[],[f381,f1486,f1228,f933,f962]) ).
fof(f1228,plain,
( spl20_162
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_162])]) ).
fof(f381,plain,
( e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1944,plain,
( ~ spl20_87
| ~ spl20_260 ),
inference(avatar_split_clause,[],[f135,f1843,f888]) ).
fof(f888,plain,
( spl20_87
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f135,plain,
( e23 != h1(e13)
| ~ sP4 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1943,plain,
spl20_251,
inference(avatar_split_clause,[],[f1942,f1766]) ).
fof(f1942,plain,
e21 = h1(e11),
inference(forward_demodulation,[],[f1941,f626]) ).
fof(f1941,plain,
h1(e11) = op2(op2(e23,e20),e20),
inference(forward_demodulation,[],[f290,f85]) ).
fof(f290,plain,
op2(op2(op2(e20,e20),e20),e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f1933,plain,
( spl20_268
| spl20_195
| spl20_187
| spl20_39 ),
inference(avatar_split_clause,[],[f365,f676,f1387,f1447,f1915]) ).
fof(f365,plain,
( e12 = op1(e10,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1921,plain,
( spl20_53
| spl20_42
| spl20_7 ),
inference(avatar_split_clause,[],[f1920,f535,f690,f738]) ).
fof(f1920,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f1919,f437]) ).
fof(f1919,plain,
( e21 = op2(e20,e21)
| e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = e23 ),
inference(forward_demodulation,[],[f405,f85]) ).
fof(f405,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1913,plain,
( spl20_192
| spl20_69
| spl20_166
| spl20_168 ),
inference(avatar_split_clause,[],[f393,f1266,f1257,f810,f1430]) ).
fof(f393,plain,
( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1905,plain,
( ~ spl20_43
| ~ spl20_71
| spl20_150 ),
inference(avatar_split_clause,[],[f468,f1171,f819,f694]) ).
fof(f819,plain,
( spl20_71
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f468,plain,
( e22 = op2(e23,e21)
| ~ sP18
| e21 != op2(e23,e22) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 = op2(e21,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e21 != op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e21 != op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 = op2(e21,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e21 != op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e21 != op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) ) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f1895,plain,
( spl20_151
| spl20_55
| spl20_30
| spl20_248 ),
inference(avatar_split_clause,[],[f345,f1741,f637,f747,f1176]) ).
fof(f345,plain,
( e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1885,plain,
~ spl20_187,
inference(avatar_split_clause,[],[f285,f1387]) ).
fof(f285,plain,
e12 != op1(e12,e12),
inference(cnf_transformation,[],[f38]) ).
fof(f1883,plain,
( ~ spl20_226
| ~ spl20_25
| spl20_167 ),
inference(avatar_split_clause,[],[f1882,f1262,f614,f1627]) ).
fof(f614,plain,
( spl20_25
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f1262,plain,
( spl20_167
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_167])]) ).
fof(f1882,plain,
( e23 = op2(e23,e20)
| ~ sP16
| e20 != h4(e13) ),
inference(forward_demodulation,[],[f493,f423]) ).
fof(f493,plain,
( e23 = op2(e23,e20)
| ~ sP16
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) = e23 )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) = e23 )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1866,plain,
spl20_260,
inference(avatar_split_clause,[],[f1865,f1843]) ).
fof(f1865,plain,
e23 = h1(e13),
inference(forward_demodulation,[],[f289,f85]) ).
fof(f289,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f1864,plain,
( spl20_41
| spl20_71
| spl20_8
| spl20_25 ),
inference(avatar_split_clause,[],[f504,f614,f539,f819,f685]) ).
fof(f685,plain,
( spl20_41
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f539,plain,
( spl20_8
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f504,plain,
( sP16
| sP17
| sP18
| sP19 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e22 != op2(e22,e22)
& e20 != op2(e20,e20)
& e23 != op2(e23,e23)
& ( sP19
| sP18
| sP17
| sP16 )
& e21 != op2(e21,e21) ),
inference(definition_folding,[],[f11,f42,f41,f40,f39]) ).
fof(f40,plain,
( ( ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 != op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f42,plain,
( ( ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 = op2(e22,e22) )
& ( e22 != op2(e22,e20)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f11,axiom,
( e22 != op2(e22,e22)
& e20 != op2(e20,e20)
& e23 != op2(e23,e23)
& ( ( ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 = op2(e22,e22) )
& ( e22 != op2(e22,e20)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ( ( e21 != op2(e23,e20)
| e20 = op2(e23,e21) )
& ( e21 != op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e22 = op2(e23,e21)
| e21 != op2(e23,e22) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 != op2(e21,e23)
| e23 = op2(e21,e21) )
& ( e21 != op2(e20,e23)
| e23 = op2(e20,e21) )
& ( e21 = op2(e20,e21)
| e21 != op2(e20,e21) )
& ( e22 = op2(e20,e21)
| e21 != op2(e20,e22) )
& ( e21 != op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 != op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e22,e21)
| e21 != op2(e22,e20) )
& ( e21 != op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e21 != op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e21 != op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e23 = op2(e22,e21)
| e21 != op2(e22,e23) ) )
| ( ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 != op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) ) )
| ( ( e20 != op2(e22,e23)
| e23 = op2(e22,e20) )
& ( e23 = op2(e21,e20)
| e20 != op2(e21,e23) )
& ( e22 = op2(e23,e20)
| e20 != op2(e23,e22) )
& ( e22 = op2(e21,e20)
| e20 != op2(e21,e22) )
& ( e20 != op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 != op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e20)
| e20 != op2(e23,e20) )
& ( e20 != op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 != op2(e20,e23)
| op2(e20,e20) = e23 )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e20 != op2(e20,e20)
| e20 = op2(e20,e20) )
& ( e20 != op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e20 != op2(e20,e22)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e20 != op2(e23,e21) )
& ( e20 = op2(e22,e20)
| e20 != op2(e22,e20) )
& ( e20 != op2(e22,e22)
| e22 = op2(e22,e20) ) ) )
& e21 != op2(e21,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f1799,plain,
( ~ spl20_1
| ~ spl20_72
| spl20_248 ),
inference(avatar_split_clause,[],[f231,f1741,f826,f509]) ).
fof(f509,plain,
( spl20_1
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f231,plain,
( e10 = op1(e13,e12)
| e12 != op1(e13,e10)
| ~ sP15 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( ( e12 != op1(e13,e11)
| e11 = op1(e13,e12) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e10,e12)
| e12 != op1(e10,e11) )
& ( e10 = op1(e13,e12)
| e12 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e13 = op1(e11,e12)
| e12 != op1(e11,e13) )
& ( e12 != op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e12 = op1(e10,e12)
| e12 != op1(e10,e12) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e12 = op1(e13,e12)
| e12 != op1(e13,e12) )
& ( e12 = op1(e11,e12)
| e12 != op1(e11,e12) )
& ( e12 != op1(e11,e10)
| e10 = op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1775,plain,
( spl20_29
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f1774,f575,f633]) ).
fof(f575,plain,
( spl20_16
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f1774,plain,
( ~ sP13
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f254,f374]) ).
fof(f254,plain,
( ~ sP13
| op1(e10,e10) != e13
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ( e10 = op1(e12,e13)
| e13 != op1(e12,e10) )
& ( e13 != op1(e13,e10)
| e10 = op1(e13,e13) )
& ( e13 != op1(e11,e11)
| e11 = op1(e11,e13) )
& ( e13 = op1(e11,e13)
| e13 != op1(e11,e13) )
& ( e13 != op1(e11,e12)
| e12 = op1(e11,e13) )
& ( e13 != op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e13 != op1(e10,e11)
| e11 = op1(e10,e13) )
& ( e12 = op1(e10,e13)
| e13 != op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 != op1(e12,e13) )
& ( e13 != op1(e13,e11)
| e11 = op1(e13,e13) )
& ( op1(e10,e10) != e13
| e10 = op1(e10,e13) )
& ( e13 != op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e11 = op1(e12,e13)
| e13 != op1(e12,e11) )
& ( e10 = op1(e11,e13)
| e13 != op1(e11,e10) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1772,plain,
~ spl20_78,
inference(avatar_split_clause,[],[f1771,f852]) ).
fof(f852,plain,
( spl20_78
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f1771,plain,
~ sP3,
inference(subsumption_resolution,[],[f140,f288]) ).
fof(f140,plain,
( ~ sP3
| e20 != h1(e10) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1769,plain,
( ~ spl20_251
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f134,f872,f1766]) ).
fof(f872,plain,
( spl20_83
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f134,plain,
( ~ sP5
| e21 != h1(e11) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1754,plain,
( spl20_105
| ~ spl20_71
| ~ spl20_149 ),
inference(avatar_split_clause,[],[f459,f1165,f819,f966]) ).
fof(f459,plain,
( e21 != op2(e22,e20)
| ~ sP18
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f61]) ).
fof(f1753,plain,
( spl20_108
| spl20_154
| spl20_248
| spl20_184 ),
inference(avatar_split_clause,[],[f361,f1373,f1741,f1190,f983]) ).
fof(f361,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1750,plain,
~ spl20_100,
inference(avatar_split_clause,[],[f507,f943]) ).
fof(f943,plain,
( spl20_100
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f507,plain,
e22 != op2(e22,e22),
inference(cnf_transformation,[],[f43]) ).
fof(f1749,plain,
( spl20_193
| spl20_177
| spl20_138
| spl20_155 ),
inference(avatar_split_clause,[],[f349,f1194,f1112,f1323,f1435]) ).
fof(f349,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1747,plain,
~ spl20_136,
inference(avatar_split_clause,[],[f1746,f1102]) ).
fof(f1746,plain,
e13 != op1(e10,e13),
inference(forward_demodulation,[],[f189,f374]) ).
fof(f189,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1745,plain,
( ~ spl20_41
| spl20_166
| ~ spl20_47 ),
inference(avatar_split_clause,[],[f448,f713,f1257,f685]) ).
fof(f448,plain,
( e22 != op2(e23,e20)
| e20 = op2(e23,e22)
| ~ sP19 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( ( e22 = op2(e21,e22)
| e22 != op2(e21,e22) )
& ( e23 = op2(e20,e22)
| e22 != op2(e20,e23) )
& ( e22 != op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 != op2(e22,e23)
| e23 = op2(e22,e22) )
& ( e22 != op2(e22,e20)
| e20 = op2(e22,e22) )
& ( e20 = op2(e23,e22)
| e22 != op2(e23,e20) )
& ( e21 = op2(e20,e22)
| e22 != op2(e20,e21) )
& ( e23 = op2(e21,e22)
| e22 != op2(e21,e23) )
& ( e22 != op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 != op2(e23,e22)
| e22 = op2(e23,e22) )
& ( e22 != op2(e22,e21)
| e21 = op2(e22,e22) )
& ( e20 = op2(e21,e22)
| e22 != op2(e21,e20) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e21 = op2(e23,e22)
| e22 != op2(e23,e21) )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f42]) ).
fof(f1736,plain,
( spl20_141
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f1735,f539,f1125]) ).
fof(f1735,plain,
( ~ sP17
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f477,f85]) ).
fof(f477,plain,
( ~ sP17
| op2(e20,e20) != e23
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( ( e23 != op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e23 != op2(e22,e21)
| e21 = op2(e22,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e20 = op2(e22,e23)
| e23 != op2(e22,e20) )
& ( e23 != op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e22,e23)
| e23 != op2(e22,e23) )
& ( e23 != op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e21,e23)
| e23 != op2(e21,e22) )
& ( op2(e20,e20) != e23
| e20 = op2(e20,e23) )
& ( e22 = op2(e20,e23)
| e23 != op2(e20,e22) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e23 != op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e20 = op2(e21,e23)
| e23 != op2(e21,e20) )
& ( e23 != op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e20,e23)
| e23 != op2(e20,e21) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1729,plain,
( spl20_49
| spl20_24
| spl20_100
| spl20_143 ),
inference(avatar_split_clause,[],[f413,f1136,f943,f609,f721]) ).
fof(f413,plain,
( e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1726,plain,
~ spl20_155,
inference(avatar_split_clause,[],[f283,f1194]) ).
fof(f283,plain,
e13 != op1(e13,e13),
inference(cnf_transformation,[],[f38]) ).
fof(f1619,plain,
( spl20_15
| spl20_168
| spl20_22 ),
inference(avatar_split_clause,[],[f1618,f601,f1266,f570]) ).
fof(f1618,plain,
( e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) ),
inference(subsumption_resolution,[],[f389,f505]) ).
fof(f505,plain,
e23 != op2(e23,e23),
inference(cnf_transformation,[],[f43]) ).
fof(f389,plain,
( e20 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1616,plain,
~ spl20_162,
inference(avatar_split_clause,[],[f503,f1228]) ).
fof(f503,plain,
e21 != op2(e21,e21),
inference(cnf_transformation,[],[f43]) ).
fof(f1606,plain,
( ~ spl20_67
| ~ spl20_55
| spl20_54 ),
inference(avatar_split_clause,[],[f270,f743,f747,f801]) ).
fof(f801,plain,
( spl20_67
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f270,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12)
| ~ sP12 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( ( e10 != op1(e11,e12)
| e12 = op1(e11,e10) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& ( e10 != op1(e10,e13)
| op1(e10,e10) = e13 )
& ( e11 = op1(e13,e10)
| e10 != op1(e13,e11) )
& ( e10 != op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e10 = op1(e12,e10)
| e10 != op1(e12,e10) )
& ( e10 = op1(e13,e10)
| e10 != op1(e13,e10) )
& ( e13 = op1(e12,e10)
| e10 != op1(e12,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e10 != op1(e11,e13)
| e13 = op1(e11,e10) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e10 != op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e12 = op1(e13,e10)
| e10 != op1(e13,e12) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1604,plain,
~ spl20_60,
inference(avatar_split_clause,[],[f1603,f770]) ).
fof(f770,plain,
( spl20_60
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f1603,plain,
e23 != op2(e20,e23),
inference(forward_demodulation,[],[f330,f85]) ).
fof(f330,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1577,plain,
( spl20_158
| spl20_45
| spl20_36
| spl20_219 ),
inference(avatar_split_clause,[],[f387,f1574,f663,f702,f1209]) ).
fof(f387,plain,
( e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1492,plain,
~ spl20_188,
inference(avatar_split_clause,[],[f434,f1393]) ).
fof(f434,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1483,plain,
~ spl20_167,
inference(avatar_split_clause,[],[f1482,f1262]) ).
fof(f1482,plain,
e23 != op2(e23,e20),
inference(forward_demodulation,[],[f303,f85]) ).
fof(f303,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1480,plain,
( ~ spl20_16
| spl20_135
| ~ spl20_193 ),
inference(avatar_split_clause,[],[f259,f1435,f1097,f575]) ).
fof(f259,plain,
( e13 != op1(e13,e12)
| e12 = op1(e13,e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f58]) ).
fof(f1469,plain,
( spl20_102
| spl20_2
| spl20_173 ),
inference(avatar_split_clause,[],[f1468,f1303,f513,f953]) ).
fof(f1468,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f369,f287]) ).
fof(f287,plain,
e11 != op1(e11,e11),
inference(cnf_transformation,[],[f38]) ).
fof(f369,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1452,plain,
~ spl20_183,
inference(avatar_split_clause,[],[f430,f1369]) ).
fof(f430,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1451,plain,
( spl20_32
| spl20_1
| spl20_16
| spl20_67 ),
inference(avatar_split_clause,[],[f286,f801,f575,f509,f646]) ).
fof(f286,plain,
( sP12
| sP13
| sP15
| sP14 ),
inference(cnf_transformation,[],[f38]) ).
fof(f1433,plain,
( spl20_192
| spl20_164
| spl20_146 ),
inference(avatar_split_clause,[],[f1428,f1149,f1242,f1430]) ).
fof(f1428,plain,
( e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f418,f506]) ).
fof(f506,plain,
e20 != op2(e20,e20),
inference(cnf_transformation,[],[f43]) ).
fof(f418,plain,
( e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1411,plain,
~ spl20_114,
inference(avatar_split_clause,[],[f1410,f1010]) ).
fof(f1010,plain,
( spl20_114
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f1410,plain,
e13 != op1(e12,e10),
inference(forward_demodulation,[],[f177,f374]) ).
fof(f177,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f1409,plain,
~ spl20_18,
inference(avatar_split_clause,[],[f1408,f583]) ).
fof(f1408,plain,
e13 != op1(e10,e11),
inference(forward_demodulation,[],[f181,f374]) ).
fof(f181,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1390,plain,
( spl20_54
| spl20_19
| spl20_64
| spl20_187 ),
inference(avatar_split_clause,[],[f368,f1387,f788,f588,f743]) ).
fof(f368,plain,
( e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e13)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1376,plain,
( spl20_182
| spl20_183
| spl20_113
| spl20_184 ),
inference(avatar_split_clause,[],[f1363,f1373,f1006,f1369,f1365]) ).
fof(f1363,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = e13
| e10 = op1(e11,e10) ),
inference(forward_demodulation,[],[f358,f374]) ).
fof(f358,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1354,plain,
( spl20_156
| spl20_3
| spl20_174 ),
inference(avatar_split_clause,[],[f1353,f1307,f517,f1199]) ).
fof(f1353,plain,
( e10 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(subsumption_resolution,[],[f100,f287]) ).
fof(f100,plain,
( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1352,plain,
( spl20_180
| spl20_63
| spl20_140 ),
inference(avatar_split_clause,[],[f1351,f1120,f784,f1345]) ).
fof(f1351,plain,
( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f371,f287]) ).
fof(f371,plain,
( e11 = op1(e11,e11)
| e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1350,plain,
~ spl20_145,
inference(avatar_split_clause,[],[f1349,f1145]) ).
fof(f1349,plain,
e23 != op2(e21,e20),
inference(forward_demodulation,[],[f314,f85]) ).
fof(f314,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1326,plain,
( ~ spl20_67
| spl20_177
| ~ spl20_154 ),
inference(avatar_split_clause,[],[f272,f1190,f1323,f801]) ).
fof(f272,plain,
( e10 != op1(e13,e13)
| e13 = op1(e13,e10)
| ~ sP12 ),
inference(cnf_transformation,[],[f59]) ).
fof(f1292,plain,
( ~ spl20_32
| spl20_62
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f241,f1002,f780,f646]) ).
fof(f241,plain,
( e11 != op1(e12,e10)
| e10 = op1(e12,e11)
| ~ sP14 ),
inference(cnf_transformation,[],[f57]) ).
fof(f1274,plain,
( spl20_167
| spl20_37
| spl20_159 ),
inference(avatar_split_clause,[],[f1273,f1214,f667,f1262]) ).
fof(f1273,plain,
( e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f416,f505]) ).
fof(f416,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e23)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1272,plain,
( spl20_76
| spl20_65
| spl20_114
| spl20_20 ),
inference(avatar_split_clause,[],[f353,f592,f1010,f792,f843]) ).
fof(f353,plain,
( e13 = op1(e12,e12)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1271,plain,
spl20_47,
inference(avatar_split_clause,[],[f1270,f713]) ).
fof(f1270,plain,
e22 = op2(e23,e20),
inference(forward_demodulation,[],[f84,f85]) ).
fof(f84,plain,
e22 = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f1255,plain,
spl20_72,
inference(avatar_split_clause,[],[f1253,f826]) ).
fof(f1253,plain,
e12 = op1(e13,e10),
inference(backward_demodulation,[],[f372,f374]) ).
fof(f372,plain,
e12 = op1(op1(e10,e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f1238,plain,
( ~ spl20_1
| ~ spl20_19
| spl20_20 ),
inference(avatar_split_clause,[],[f227,f592,f588,f509]) ).
fof(f227,plain,
( e13 = op1(e12,e12)
| e12 != op1(e12,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f56]) ).
fof(f1231,plain,
( spl20_144
| spl20_13
| spl20_45
| spl20_162 ),
inference(avatar_split_clause,[],[f409,f1228,f702,f562,f1141]) ).
fof(f409,plain,
( e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1197,plain,
( spl20_153
| spl20_135
| spl20_154
| spl20_155 ),
inference(avatar_split_clause,[],[f93,f1194,f1190,f1097,f1186]) ).
fof(f93,plain,
( e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1159,plain,
spl20_112,
inference(avatar_split_clause,[],[f1158,f1002]) ).
fof(f1158,plain,
e11 = op1(e12,e10),
inference(forward_demodulation,[],[f373,f372]) ).
fof(f373,plain,
e11 = op1(op1(op1(e10,e10),e10),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f1129,plain,
( ~ spl20_37
| spl20_22
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f486,f539,f601,f667]) ).
fof(f486,plain,
( ~ sP17
| e22 = op2(e23,e23)
| e23 != op2(e23,e22) ),
inference(cnf_transformation,[],[f62]) ).
fof(f1128,plain,
( spl20_21
| spl20_7
| spl20_141
| spl20_60 ),
inference(avatar_split_clause,[],[f379,f770,f1125,f535,f597]) ).
fof(f379,plain,
( e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1105,plain,
( spl20_29
| spl20_136
| spl20_17
| spl20_134 ),
inference(avatar_split_clause,[],[f88,f1093,f579,f1102,f633]) ).
fof(f88,plain,
( e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e13 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f981,plain,
~ spl20_38,
inference(avatar_split_clause,[],[f980,f671]) ).
fof(f980,plain,
e23 != op2(e20,e22),
inference(forward_demodulation,[],[f297,f85]) ).
fof(f297,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f969,plain,
( spl20_104
| spl20_51
| spl20_105
| spl20_69 ),
inference(avatar_split_clause,[],[f399,f810,f966,f730,f962]) ).
fof(f399,plain,
( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f946,plain,
( spl20_61
| spl20_35
| spl20_44
| spl20_100 ),
inference(avatar_split_clause,[],[f375,f943,f698,f659,f775]) ).
fof(f375,plain,
( e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e23 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f931,plain,
( spl20_78
| ~ spl20_79
| ~ spl20_80
| ~ spl20_81
| ~ spl20_82
| spl20_83
| ~ spl20_84
| ~ spl20_85
| ~ spl20_86
| spl20_87
| ~ spl20_88
| ~ spl20_89
| ~ spl20_90
| ~ spl20_91
| ~ spl20_92
| ~ spl20_93
| ~ spl20_94
| ~ spl20_95
| ~ spl20_96
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f162,f928,f924,f920,f916,f912,f908,f904,f900,f896,f892,f888,f884,f880,f876,f872,f868,f864,f860,f856,f852]) ).
fof(f162,plain,
( h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| e22 != h1(e12)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP4
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| sP5
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP3 ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e10) )
| sP11
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| sP10
| sP9
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) )
& ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP8
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP7
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP6 )
& ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP5
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP4
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP3
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP2
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP1
| sP0
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e13) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e13) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e13) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f27,plain,
( ( e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e11) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e11) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e11) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e10) )
| ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e13) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e22 != h3(e13)
& e22 != h3(e10)
& e22 != h3(e12)
& e22 != h3(e11) )
| ( e20 != h3(e12)
& e20 != h3(e10)
& e20 != h3(e13)
& e20 != h3(e11) )
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) )
& ( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e23 != h4(e12)
& e23 != h4(e10)
& e23 != h4(e13)
& e23 != h4(e11) )
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e11) ) )
& ( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| ( e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| ( e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e13) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| ( e20 != h2(e13)
& e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e13) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e23 != h2(e12)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e13) )
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
| ( ( e23 = h3(e10)
| e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10)
| e20 = h3(e13) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e13) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& 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(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& ( e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e12) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10)
| e20 = h1(e13) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& ( e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12) )
& ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e11) )
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) )
| ( ( e23 = h3(e10)
| e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10)
| e20 = h3(e13) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e13) )
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& 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(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) )
| ( h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& ( e22 = h1(e11)
| e22 = h1(e13)
| e22 = h1(e10)
| e22 = h1(e12) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e13)
| e21 = h1(e10) )
& ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10)
| e20 = h1(e13) )
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f795,plain,
( spl20_62
| spl20_63
| spl20_64
| spl20_65 ),
inference(avatar_split_clause,[],[f98,f792,f788,f784,f780]) ).
fof(f98,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f778,plain,
( ~ spl20_61
| spl20_49
| ~ spl20_25 ),
inference(avatar_split_clause,[],[f487,f614,f721,f775]) ).
fof(f487,plain,
( ~ sP16
| e22 = op2(e22,e20)
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f63]) ).
fof(f644,plain,
( spl20_28
| spl20_29
| spl20_30
| spl20_31 ),
inference(avatar_split_clause,[],[f343,f641,f637,f633,f629]) ).
fof(f343,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG124+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 14:56:56 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.48 % (7772)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.49 % (7772)Instruction limit reached!
% 0.20/0.49 % (7772)------------------------------
% 0.20/0.49 % (7772)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (7772)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (7772)Termination reason: Unknown
% 0.20/0.50 % (7772)Termination phase: Preprocessing 2
% 0.20/0.50
% 0.20/0.50 % (7772)Memory used [KB]: 1535
% 0.20/0.50 % (7772)Time elapsed: 0.005 s
% 0.20/0.50 % (7772)Instructions burned: 3 (million)
% 0.20/0.50 % (7772)------------------------------
% 0.20/0.50 % (7772)------------------------------
% 0.20/0.51 % (7793)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.51 % (7773)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (7785)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (7775)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.52 % (7787)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (7788)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52 % (7788)Instruction limit reached!
% 0.20/0.52 % (7788)------------------------------
% 0.20/0.52 % (7788)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7788)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7788)Termination reason: Unknown
% 0.20/0.52 % (7788)Termination phase: shuffling
% 0.20/0.52
% 0.20/0.52 % (7788)Memory used [KB]: 1535
% 0.20/0.52 % (7788)Time elapsed: 0.003 s
% 0.20/0.52 % (7788)Instructions burned: 4 (million)
% 0.20/0.52 % (7788)------------------------------
% 0.20/0.52 % (7788)------------------------------
% 0.20/0.52 % (7787)Instruction limit reached!
% 0.20/0.52 % (7787)------------------------------
% 0.20/0.52 % (7787)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7785)Instruction limit reached!
% 0.20/0.52 % (7785)------------------------------
% 0.20/0.52 % (7785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (7785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7785)Termination reason: Unknown
% 0.20/0.52 % (7785)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (7785)Memory used [KB]: 1663
% 0.20/0.52 % (7785)Time elapsed: 0.008 s
% 0.20/0.52 % (7785)Instructions burned: 9 (million)
% 0.20/0.52 % (7785)------------------------------
% 0.20/0.52 % (7785)------------------------------
% 0.20/0.52 % (7787)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (7787)Termination reason: Unknown
% 0.20/0.52 % (7787)Termination phase: Preprocessing 2
% 0.20/0.52
% 0.20/0.52 % (7787)Memory used [KB]: 1535
% 0.20/0.52 % (7787)Time elapsed: 0.005 s
% 0.20/0.52 % (7787)Instructions burned: 3 (million)
% 0.20/0.52 % (7787)------------------------------
% 0.20/0.52 % (7787)------------------------------
% 0.20/0.52 % (7778)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.53 % (7781)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (7780)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.53 % (7770)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.53 % (7790)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54 % (7780)Instruction limit reached!
% 0.20/0.54 % (7780)------------------------------
% 0.20/0.54 % (7780)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (7780)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (7780)Termination reason: Unknown
% 0.20/0.54 % (7780)Termination phase: Property scanning
% 0.20/0.54
% 0.20/0.54 % (7780)Memory used [KB]: 1663
% 0.20/0.54 % (7780)Time elapsed: 0.005 s
% 0.20/0.54 % (7780)Instructions burned: 13 (million)
% 0.20/0.54 % (7780)------------------------------
% 0.20/0.54 % (7780)------------------------------
% 0.20/0.54 % (7799)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.54 % (7784)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.54 % (7789)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54 % (7796)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (7776)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54 % (7791)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (7797)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.54 % (7774)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (7798)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.55 % (7781)Instruction limit reached!
% 0.20/0.55 % (7781)------------------------------
% 0.20/0.55 % (7781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7775)Instruction limit reached!
% 0.20/0.55 % (7775)------------------------------
% 0.20/0.55 % (7775)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7783)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (7798)Instruction limit reached!
% 0.20/0.55 % (7798)------------------------------
% 0.20/0.55 % (7798)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (7781)Termination reason: Unknown
% 0.20/0.55 % (7781)Termination phase: Preprocessing 3
% 0.20/0.55
% 0.20/0.55 % (7781)Memory used [KB]: 1663
% 0.20/0.55 % (7781)Time elapsed: 0.005 s
% 0.20/0.55 % (7781)Instructions burned: 7 (million)
% 0.20/0.55 % (7781)------------------------------
% 0.20/0.55 % (7781)------------------------------
% 0.20/0.55 % (7798)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (7798)Termination reason: Unknown
% 0.20/0.55 % (7798)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (7798)Memory used [KB]: 1663
% 0.20/0.55 % (7798)Time elapsed: 0.006 s
% 0.20/0.55 % (7774)Instruction limit reached!
% 0.20/0.55 % (7774)------------------------------
% 0.20/0.55 % (7774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7798)Instructions burned: 10 (million)
% 0.20/0.55 % (7774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (7774)Termination reason: Unknown
% 0.20/0.55 % (7774)Termination phase: Clausification
% 0.20/0.55
% 0.20/0.55 % (7774)Memory used [KB]: 4733
% 0.20/0.55 % (7774)Time elapsed: 0.008 s
% 0.20/0.55 % (7774)Instructions burned: 14 (million)
% 0.20/0.55 % (7774)------------------------------
% 0.20/0.55 % (7774)------------------------------
% 0.20/0.55 % (7798)------------------------------
% 0.20/0.55 % (7798)------------------------------
% 0.20/0.55 % (7795)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.55 % (7771)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.55 % (7792)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.55 % (7782)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.55 % (7793)Instruction limit reached!
% 0.20/0.55 % (7793)------------------------------
% 0.20/0.55 % (7793)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (7777)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.56 % (7789)Instruction limit reached!
% 0.20/0.56 % (7789)------------------------------
% 0.20/0.56 % (7789)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7789)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7789)Termination reason: Unknown
% 0.20/0.56 % (7789)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (7789)Memory used [KB]: 1663
% 0.20/0.56 % (7789)Time elapsed: 0.005 s
% 0.20/0.56 % (7789)Instructions burned: 11 (million)
% 0.20/0.56 % (7789)------------------------------
% 0.20/0.56 % (7789)------------------------------
% 0.20/0.56 % (7784)Instruction limit reached!
% 0.20/0.56 % (7784)------------------------------
% 0.20/0.56 % (7784)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7784)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7784)Termination reason: Unknown
% 0.20/0.56 % (7784)Termination phase: Naming
% 0.20/0.56
% 0.20/0.56 % (7784)Memory used [KB]: 1535
% 0.20/0.56 % (7784)Time elapsed: 0.004 s
% 0.20/0.56 % (7784)Instructions burned: 4 (million)
% 0.20/0.56 % (7784)------------------------------
% 0.20/0.56 % (7784)------------------------------
% 0.20/0.56 % (7786)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (7790)Instruction limit reached!
% 0.20/0.56 % (7790)------------------------------
% 0.20/0.56 % (7790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (7790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7790)Termination reason: Unknown
% 0.20/0.56 % (7790)Termination phase: Equality proxy
% 0.20/0.56
% 0.20/0.56 % (7790)Memory used [KB]: 1918
% 0.20/0.56 % (7790)Time elapsed: 0.015 s
% 0.20/0.56 % (7790)Instructions burned: 30 (million)
% 0.20/0.56 % (7790)------------------------------
% 0.20/0.56 % (7790)------------------------------
% 0.20/0.56 % (7775)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7775)Termination reason: Unknown
% 0.20/0.56 % (7775)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (7775)Memory used [KB]: 1791
% 0.20/0.56 % (7775)Time elapsed: 0.007 s
% 0.20/0.56 % (7775)Instructions burned: 15 (million)
% 0.20/0.56 % (7775)------------------------------
% 0.20/0.56 % (7775)------------------------------
% 0.20/0.56 % (7793)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (7793)Termination reason: Unknown
% 0.20/0.56 % (7793)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (7793)Memory used [KB]: 2302
% 0.20/0.56 % (7793)Time elapsed: 0.035 s
% 0.20/0.56 % (7793)Instructions burned: 47 (million)
% 0.20/0.56 % (7793)------------------------------
% 0.20/0.56 % (7793)------------------------------
% 0.20/0.56 % (7794)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.57 % (7776)Instruction limit reached!
% 0.20/0.57 % (7776)------------------------------
% 0.20/0.57 % (7776)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (7776)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (7776)Termination reason: Unknown
% 0.20/0.57 % (7776)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (7776)Memory used [KB]: 7036
% 0.20/0.57 % (7776)Time elapsed: 0.142 s
% 0.20/0.57 % (7776)Instructions burned: 39 (million)
% 0.20/0.57 % (7776)------------------------------
% 0.20/0.57 % (7776)------------------------------
% 1.69/0.57 % (7771)Instruction limit reached!
% 1.69/0.57 % (7771)------------------------------
% 1.69/0.57 % (7771)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (7771)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (7773)Instruction limit reached!
% 1.69/0.57 % (7773)------------------------------
% 1.69/0.57 % (7773)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (7771)Termination reason: Unknown
% 1.69/0.57 % (7773)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (7773)Termination reason: Unknown
% 1.69/0.57 % (7773)Termination phase: Saturation
% 1.69/0.57
% 1.69/0.57 % (7773)Memory used [KB]: 6908
% 1.69/0.57 % (7773)Time elapsed: 0.033 s
% 1.69/0.57 % (7773)Instructions burned: 52 (million)
% 1.69/0.57 % (7773)------------------------------
% 1.69/0.57 % (7773)------------------------------
% 1.69/0.57 % (7782)Instruction limit reached!
% 1.69/0.57 % (7782)------------------------------
% 1.69/0.57 % (7782)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.57 % (7782)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.57 % (7782)Termination reason: Unknown
% 1.69/0.57 % (7782)Termination phase: Equality proxy
% 1.69/0.57
% 1.69/0.57 % (7782)Memory used [KB]: 1791
% 1.69/0.57 % (7782)Time elapsed: 0.007 s
% 1.69/0.57 % (7782)Instructions burned: 17 (million)
% 1.69/0.57 % (7782)------------------------------
% 1.69/0.57 % (7782)------------------------------
% 1.69/0.57 % (7771)Termination phase: General splitting
% 1.69/0.57
% 1.69/0.58 % (7771)Memory used [KB]: 1663
% 1.69/0.58 % (7771)Time elapsed: 0.008 s
% 1.69/0.58 % (7771)Instructions burned: 16 (million)
% 1.69/0.58 % (7771)------------------------------
% 1.69/0.58 % (7771)------------------------------
% 1.69/0.58 % (7779)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.69/0.59 % (7797)Instruction limit reached!
% 1.69/0.59 % (7797)------------------------------
% 1.69/0.59 % (7797)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.69/0.59 % (7797)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.69/0.59 % (7797)Termination reason: Unknown
% 1.69/0.59 % (7797)Termination phase: Saturation
% 1.69/0.59
% 1.69/0.59 % (7797)Memory used [KB]: 6908
% 1.69/0.59 % (7797)Time elapsed: 0.184 s
% 1.69/0.59 % (7797)Instructions burned: 26 (million)
% 1.69/0.59 % (7797)------------------------------
% 1.69/0.59 % (7797)------------------------------
% 1.82/0.59 % (7799)Instruction limit reached!
% 1.82/0.59 % (7799)------------------------------
% 1.82/0.59 % (7799)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.59 % (7799)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.59 % (7799)Termination reason: Unknown
% 1.82/0.59 % (7799)Termination phase: Clausification
% 1.82/0.59
% 1.82/0.59 % (7799)Memory used [KB]: 9978
% 1.82/0.59 % (7799)Time elapsed: 0.015 s
% 1.82/0.59 % (7799)Instructions burned: 25 (million)
% 1.82/0.59 % (7799)------------------------------
% 1.82/0.59 % (7799)------------------------------
% 1.82/0.60 % (7778)Instruction limit reached!
% 1.82/0.60 % (7778)------------------------------
% 1.82/0.60 % (7778)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (7778)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (7778)Termination reason: Unknown
% 1.82/0.60 % (7778)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (7778)Memory used [KB]: 7036
% 1.82/0.60 % (7778)Time elapsed: 0.020 s
% 1.82/0.60 % (7778)Instructions burned: 49 (million)
% 1.82/0.60 % (7778)------------------------------
% 1.82/0.60 % (7778)------------------------------
% 1.82/0.60 % (7783)Instruction limit reached!
% 1.82/0.60 % (7783)------------------------------
% 1.82/0.60 % (7783)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.60 % (7783)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.60 % (7783)Termination reason: Unknown
% 1.82/0.60 % (7783)Termination phase: Saturation
% 1.82/0.60
% 1.82/0.60 % (7783)Memory used [KB]: 6908
% 1.82/0.60 % (7783)Time elapsed: 0.025 s
% 1.82/0.60 % (7783)Instructions burned: 52 (million)
% 1.82/0.60 % (7783)------------------------------
% 1.82/0.60 % (7783)------------------------------
% 1.82/0.61 % (7777)Instruction limit reached!
% 1.82/0.61 % (7777)------------------------------
% 1.82/0.61 % (7777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.61 % (7777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.61 % (7777)Termination reason: Unknown
% 1.82/0.61 % (7777)Termination phase: Saturation
% 1.82/0.61
% 1.82/0.61 % (7777)Memory used [KB]: 6908
% 1.82/0.61 % (7777)Time elapsed: 0.024 s
% 1.82/0.61 % (7777)Instructions burned: 39 (million)
% 1.82/0.61 % (7777)------------------------------
% 1.82/0.61 % (7777)------------------------------
% 1.82/0.61 % (7794)Refutation not found, incomplete strategy% (7794)------------------------------
% 1.82/0.61 % (7794)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62 % (7779)Instruction limit reached!
% 1.82/0.62 % (7779)------------------------------
% 1.82/0.62 % (7779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.82/0.62 % (7779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62 % (7779)Termination reason: Unknown
% 1.82/0.62 % (7779)Termination phase: Saturation
% 1.82/0.62
% 1.82/0.62 % (7779)Memory used [KB]: 6780
% 1.82/0.62 % (7779)Time elapsed: 0.018 s
% 1.82/0.62 % (7779)Instructions burned: 34 (million)
% 1.82/0.62 % (7779)------------------------------
% 1.82/0.62 % (7779)------------------------------
% 1.82/0.62 % (7794)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.82/0.62 % (7794)Termination reason: Refutation not found, incomplete strategy
% 1.82/0.62
% 1.82/0.62 % (7794)Memory used [KB]: 7291
% 1.82/0.62 % (7794)Time elapsed: 0.205 s
% 1.82/0.62 % (7794)Instructions burned: 41 (million)
% 1.82/0.62 % (7794)------------------------------
% 1.82/0.62 % (7794)------------------------------
% 2.07/0.63 % (7791)Refutation not found, incomplete strategy% (7791)------------------------------
% 2.07/0.63 % (7791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (7858)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.13/0.64 % (7786)Instruction limit reached!
% 2.13/0.64 % (7786)------------------------------
% 2.13/0.64 % (7786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.64 % (7786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.64 % (7786)Termination reason: Unknown
% 2.13/0.64 % (7786)Termination phase: Saturation
% 2.13/0.64
% 2.13/0.64 % (7786)Memory used [KB]: 7036
% 2.13/0.64 % (7786)Time elapsed: 0.027 s
% 2.13/0.64 % (7786)Instructions burned: 50 (million)
% 2.13/0.64 % (7786)------------------------------
% 2.13/0.64 % (7786)------------------------------
% 2.13/0.64 % (7856)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.13/0.65 % (7791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.65 % (7791)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.65
% 2.13/0.65 % (7791)Memory used [KB]: 6908
% 2.13/0.65 % (7791)Time elapsed: 0.223 s
% 2.13/0.65 % (7791)Instructions burned: 69 (million)
% 2.13/0.65 % (7791)------------------------------
% 2.13/0.65 % (7791)------------------------------
% 2.13/0.65 % (7860)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.13/0.67 % (7873)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/141Mi)
% 2.13/0.67 % (7795)First to succeed.
% 2.13/0.67 % (7796)Refutation not found, incomplete strategy% (7796)------------------------------
% 2.13/0.67 % (7796)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.67 % (7796)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.67 % (7796)Termination reason: Refutation not found, incomplete strategy
% 2.13/0.67
% 2.13/0.67 % (7796)Memory used [KB]: 7164
% 2.13/0.67 % (7796)Time elapsed: 0.264 s
% 2.13/0.67 % (7796)Instructions burned: 71 (million)
% 2.13/0.67 % (7796)------------------------------
% 2.13/0.67 % (7796)------------------------------
% 2.13/0.67 % (7857)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.13/0.67 % (7881)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.13/0.67 % (7857)Instruction limit reached!
% 2.13/0.67 % (7857)------------------------------
% 2.13/0.67 % (7857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.68 % (7857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.68 % (7857)Termination reason: Unknown
% 2.13/0.68 % (7857)Termination phase: Preprocessing 3
% 2.13/0.68
% 2.13/0.68 % (7857)Memory used [KB]: 1663
% 2.13/0.68 % (7857)Time elapsed: 0.004 s
% 2.13/0.68 % (7857)Instructions burned: 7 (million)
% 2.13/0.68 % (7857)------------------------------
% 2.13/0.68 % (7857)------------------------------
% 2.13/0.69 % (7867)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.13/0.69 % (7792)Instruction limit reached!
% 2.13/0.69 % (7792)------------------------------
% 2.13/0.69 % (7792)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.13/0.69 % (7880)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.13/0.69 % (7874)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.13/0.69 % (7877)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.13/0.69 % (7871)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.13/0.69 % (7879)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.13/0.69 % (7889)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.13/0.70 % (7792)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.13/0.70 % (7792)Termination reason: Unknown
% 2.13/0.70 % (7792)Termination phase: Property scanning
% 2.13/0.70
% 2.13/0.70 % (7792)Memory used [KB]: 29935
% 2.13/0.70 % (7792)Time elapsed: 0.048 s
% 2.13/0.70 % (7792)Instructions burned: 84 (million)
% 2.13/0.70 % (7792)------------------------------
% 2.13/0.70 % (7792)------------------------------
% 2.33/0.71 % (7897)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.33/0.71 % (7882)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.33/0.71 % (7893)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.33/0.71 % (7886)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.33/0.71 % (7795)Refutation found. Thanks to Tanya!
% 2.33/0.71 % SZS status Theorem for theBenchmark
% 2.33/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.71 % (7795)------------------------------
% 2.33/0.71 % (7795)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.71 % (7795)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.71 % (7795)Termination reason: Refutation
% 2.33/0.71
% 2.33/0.71 % (7795)Memory used [KB]: 7931
% 2.33/0.71 % (7795)Time elapsed: 0.051 s
% 2.33/0.71 % (7795)Instructions burned: 79 (million)
% 2.33/0.71 % (7795)------------------------------
% 2.33/0.71 % (7795)------------------------------
% 2.33/0.71 % (7750)Success in time 0.375 s
%------------------------------------------------------------------------------