TSTP Solution File: ALG106+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:45 EDT 2022
% Result : Theorem 2.05s 0.69s
% Output : Refutation 2.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 267
% Syntax : Number of formulae : 1327 ( 150 unt; 0 def)
% Number of atoms : 5132 (2880 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6308 (2503 ~;2636 |; 961 &)
% ( 208 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 252 ( 250 usr; 251 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5517,plain,
$false,
inference(avatar_sat_refutation,[],[f703,f729,f746,f907,f953,f972,f1025,f1030,f1039,f1054,f1063,f1091,f1096,f1101,f1132,f1163,f1172,f1207,f1213,f1231,f1263,f1272,f1295,f1323,f1410,f1452,f1475,f1480,f1486,f1516,f1527,f1532,f1546,f1551,f1562,f1579,f1623,f1624,f1632,f1647,f1648,f1658,f1659,f1664,f1673,f1755,f1756,f1761,f1778,f1779,f1797,f1803,f1804,f1805,f1823,f1843,f1854,f1869,f1880,f1882,f1887,f1893,f1910,f1911,f1927,f1935,f1948,f1950,f1957,f1959,f1979,f1984,f1989,f1990,f1992,f1998,f2000,f2008,f2009,f2019,f2021,f2025,f2030,f2031,f2043,f2047,f2052,f2068,f2095,f2108,f2109,f2110,f2113,f2116,f2117,f2119,f2125,f2126,f2129,f2138,f2147,f2150,f2156,f2209,f2217,f2272,f2273,f2282,f2283,f2289,f2312,f2328,f2388,f2394,f2397,f2405,f2408,f2411,f2415,f2423,f2424,f2438,f2463,f2472,f2489,f2490,f2491,f2493,f2499,f2504,f2521,f2524,f2526,f2545,f2552,f2560,f2561,f2563,f2571,f2575,f2576,f2581,f2582,f2583,f2584,f2601,f2609,f2616,f2663,f2666,f2671,f2672,f2673,f2681,f2687,f2688,f2719,f2752,f2760,f2762,f2792,f2802,f2805,f2821,f2827,f2831,f2867,f2875,f2879,f2882,f2893,f2901,f2933,f2954,f2989,f2997,f3029,f3070,f3074,f3076,f3078,f3083,f3093,f3106,f3112,f3120,f3126,f3169,f3182,f3221,f3229,f3242,f3245,f3260,f3266,f3268,f3269,f3270,f3272,f3311,f3315,f3325,f3331,f3349,f3354,f3371,f3399,f3404,f3435,f3439,f3448,f3454,f3466,f3481,f3487,f3507,f3520,f3524,f3566,f3591,f3608,f3627,f3632,f3652,f3670,f3692,f3697,f3725,f3756,f3759,f3766,f3775,f3821,f3850,f3855,f3867,f3872,f3883,f3886,f3923,f3954,f3991,f4007,f4038,f4048,f4054,f4059,f4061,f4067,f4090,f4107,f4175,f4176,f4183,f4235,f4240,f4335,f4360,f4393,f4428,f4447,f4464,f4499,f4538,f4539,f4566,f4620,f4660,f4703,f4716,f4777,f4789,f4836,f4868,f4885,f4926,f4937,f4993,f5007,f5026,f5068,f5105,f5116,f5121,f5122,f5134,f5148,f5229,f5241,f5307,f5319,f5347,f5368,f5384]) ).
fof(f5384,plain,
( ~ spl42_153
| spl42_291 ),
inference(avatar_contradiction_clause,[],[f5383]) ).
fof(f5383,plain,
( $false
| ~ spl42_153
| spl42_291 ),
inference(subsumption_resolution,[],[f5382,f1286]) ).
fof(f1286,plain,
( e12 = op1(e12,e12)
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f1284,plain,
( spl42_153
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f5382,plain,
( e12 != op1(e12,e12)
| ~ spl42_153
| spl42_291 ),
inference(backward_demodulation,[],[f2081,f1286]) ).
fof(f2081,plain,
( e12 != op1(e12,op1(e12,e12))
| spl42_291 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f2080,plain,
( spl42_291
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).
fof(f5368,plain,
( ~ spl42_96
| ~ spl42_250
| spl42_293 ),
inference(avatar_contradiction_clause,[],[f5367]) ).
fof(f5367,plain,
( $false
| ~ spl42_96
| ~ spl42_250
| spl42_293 ),
inference(subsumption_resolution,[],[f5366,f1024]) ).
fof(f1024,plain,
( e10 = op1(e10,e11)
| ~ spl42_96 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1022,plain,
( spl42_96
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f5366,plain,
( e10 != op1(e10,e11)
| ~ spl42_250
| spl42_293 ),
inference(backward_demodulation,[],[f2089,f1772]) ).
fof(f1772,plain,
( e11 = op1(e10,e12)
| ~ spl42_250 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1770,plain,
( spl42_250
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f2089,plain,
( e10 != op1(e10,op1(e10,e12))
| spl42_293 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f2088,plain,
( spl42_293
<=> e10 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_293])]) ).
fof(f5347,plain,
( ~ spl42_115
| spl42_211
| ~ spl42_268 ),
inference(avatar_contradiction_clause,[],[f5346]) ).
fof(f5346,plain,
( $false
| ~ spl42_115
| spl42_211
| ~ spl42_268 ),
inference(subsumption_resolution,[],[f5345,f1576]) ).
fof(f1576,plain,
( e10 != e13
| spl42_211 ),
inference(avatar_component_clause,[],[f1575]) ).
fof(f1575,plain,
( spl42_211
<=> e10 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f5345,plain,
( e10 = e13
| ~ spl42_115
| ~ spl42_268 ),
inference(forward_demodulation,[],[f5344,f1113]) ).
fof(f1113,plain,
( e13 = op1(e10,e13)
| ~ spl42_115 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1111,plain,
( spl42_115
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).
fof(f5344,plain,
( e10 = op1(e10,e13)
| ~ spl42_115
| ~ spl42_268 ),
inference(forward_demodulation,[],[f1901,f1113]) ).
fof(f1901,plain,
( e10 = op1(e10,op1(e10,e13))
| ~ spl42_268 ),
inference(avatar_component_clause,[],[f1899]) ).
fof(f1899,plain,
( spl42_268
<=> e10 = op1(e10,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f5319,plain,
( ~ spl42_79
| ~ spl42_88
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f5318]) ).
fof(f5318,plain,
( $false
| ~ spl42_79
| ~ spl42_88
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f5317,f114]) ).
fof(f114,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e20 != e21
& e21 != e23
& e20 != e23
& e20 != e22
& e21 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f5317,plain,
( e21 = e23
| ~ spl42_79
| ~ spl42_88
| ~ spl42_307 ),
inference(forward_demodulation,[],[f5316,f990]) ).
fof(f990,plain,
( e23 = op2(e21,e20)
| ~ spl42_88 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl42_88
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f5316,plain,
( e21 = op2(e21,e20)
| ~ spl42_79
| ~ spl42_307 ),
inference(forward_demodulation,[],[f948,f2208]) ).
fof(f2208,plain,
( e20 = op2(e21,e22)
| ~ spl42_307 ),
inference(avatar_component_clause,[],[f2206]) ).
fof(f2206,plain,
( spl42_307
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).
fof(f948,plain,
( e21 = op2(e21,op2(e21,e22))
| ~ spl42_79 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f946,plain,
( spl42_79
<=> e21 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).
fof(f5307,plain,
( ~ spl42_78
| ~ spl42_128
| spl42_247
| ~ spl42_277 ),
inference(avatar_contradiction_clause,[],[f5306]) ).
fof(f5306,plain,
( $false
| ~ spl42_78
| ~ spl42_128
| spl42_247
| ~ spl42_277 ),
inference(subsumption_resolution,[],[f5305,f1753]) ).
fof(f1753,plain,
( e22 != e23
| spl42_247 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1751,plain,
( spl42_247
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_247])]) ).
fof(f5305,plain,
( e22 = e23
| ~ spl42_78
| ~ spl42_128
| ~ spl42_277 ),
inference(forward_demodulation,[],[f5304,f1954]) ).
fof(f1954,plain,
( e23 = op2(e22,e21)
| ~ spl42_277 ),
inference(avatar_component_clause,[],[f1952]) ).
fof(f1952,plain,
( spl42_277
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).
fof(f5304,plain,
( e22 = op2(e22,e21)
| ~ spl42_78
| ~ spl42_128 ),
inference(forward_demodulation,[],[f944,f1171]) ).
fof(f1171,plain,
( e21 = op2(e22,e22)
| ~ spl42_128 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1169,plain,
( spl42_128
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_128])]) ).
fof(f944,plain,
( e22 = op2(e22,op2(e22,e22))
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f942]) ).
fof(f942,plain,
( spl42_78
<=> e22 = op2(e22,op2(e22,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).
fof(f5241,plain,
( ~ spl42_108
| ~ spl42_206
| ~ spl42_270 ),
inference(avatar_contradiction_clause,[],[f5240]) ).
fof(f5240,plain,
( $false
| ~ spl42_108
| ~ spl42_206
| ~ spl42_270 ),
inference(subsumption_resolution,[],[f5239,f529]) ).
fof(f529,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e10 != e11
& e10 != e13
& e10 != e12
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5239,plain,
( e11 = e13
| ~ spl42_108
| ~ spl42_206
| ~ spl42_270 ),
inference(forward_demodulation,[],[f5066,f1550]) ).
fof(f1550,plain,
( e13 = op1(e11,e12)
| ~ spl42_206 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1548,plain,
( spl42_206
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f5066,plain,
( e11 = op1(e11,e12)
| ~ spl42_108
| ~ spl42_270 ),
inference(forward_demodulation,[],[f1909,f1082]) ).
fof(f1082,plain,
( e12 = op1(e11,e13)
| ~ spl42_108 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f1080,plain,
( spl42_108
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_108])]) ).
fof(f1909,plain,
( e11 = op1(e11,op1(e11,e13))
| ~ spl42_270 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1907,plain,
( spl42_270
<=> e11 = op1(e11,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).
fof(f5229,plain,
( ~ spl42_67
| ~ spl42_80
| ~ spl42_187 ),
inference(avatar_contradiction_clause,[],[f5228]) ).
fof(f5228,plain,
( $false
| ~ spl42_67
| ~ spl42_80
| ~ spl42_187 ),
inference(subsumption_resolution,[],[f5227,f114]) ).
fof(f5227,plain,
( e21 = e23
| ~ spl42_67
| ~ spl42_80
| ~ spl42_187 ),
inference(forward_demodulation,[],[f5226,f893]) ).
fof(f893,plain,
( e21 = op2(e23,e23)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f891]) ).
fof(f891,plain,
( spl42_67
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).
fof(f5226,plain,
( e23 = op2(e23,e23)
| ~ spl42_80
| ~ spl42_187 ),
inference(forward_demodulation,[],[f952,f1446]) ).
fof(f1446,plain,
( e23 = op2(e23,e22)
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1444,plain,
( spl42_187
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f952,plain,
( e23 = op2(e23,op2(e23,e22))
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f950,plain,
( spl42_80
<=> e23 = op2(e23,op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).
fof(f5148,plain,
( ~ spl42_254
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f4964,f1986,f1800]) ).
fof(f1800,plain,
( spl42_254
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f1986,plain,
( spl42_281
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f4964,plain,
( e13 != op1(e12,e10)
| ~ spl42_281 ),
inference(forward_demodulation,[],[f154,f1988]) ).
fof(f1988,plain,
( e13 = op1(e13,e10)
| ~ spl42_281 ),
inference(avatar_component_clause,[],[f1986]) ).
fof(f154,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e11) != op1(e13,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e10) != op1(e11,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e10) != op1(e11,e10)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5134,plain,
( ~ spl42_183
| ~ spl42_189 ),
inference(avatar_split_clause,[],[f5133,f1454,f1422]) ).
fof(f1422,plain,
( spl42_183
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f1454,plain,
( spl42_189
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f5133,plain,
( e20 != op2(e21,e20)
| ~ spl42_189 ),
inference(forward_demodulation,[],[f535,f1456]) ).
fof(f1456,plain,
( e20 = op2(e23,e20)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f535,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e21) != op2(e23,e21)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e22) != op2(e22,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5122,plain,
( ~ spl42_156
| ~ spl42_218 ),
inference(avatar_split_clause,[],[f5118,f1616,f1297]) ).
fof(f1297,plain,
( spl42_156
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f1616,plain,
( spl42_218
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_218])]) ).
fof(f5118,plain,
( e13 != op1(e12,e12)
| ~ spl42_218 ),
inference(backward_demodulation,[],[f147,f1618]) ).
fof(f1618,plain,
( e13 = op1(e12,e11)
| ~ spl42_218 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f147,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5121,plain,
( ~ spl42_84
| ~ spl42_218 ),
inference(avatar_split_clause,[],[f5119,f1616,f969]) ).
fof(f969,plain,
( spl42_84
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f5119,plain,
( e13 != op1(e11,e11)
| ~ spl42_218 ),
inference(backward_demodulation,[],[f159,f1618]) ).
fof(f159,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5116,plain,
( ~ spl42_156
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f5115,f1548,f1297]) ).
fof(f5115,plain,
( e13 != op1(e12,e12)
| ~ spl42_206 ),
inference(forward_demodulation,[],[f133,f1550]) ).
fof(f133,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5105,plain,
( ~ spl42_146
| ~ spl42_251 ),
inference(avatar_split_clause,[],[f5089,f1774,f1252]) ).
fof(f1252,plain,
( spl42_146
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).
fof(f1774,plain,
( spl42_251
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f5089,plain,
( op1(e10,e10) != e12
| ~ spl42_251 ),
inference(forward_demodulation,[],[f126,f1776]) ).
fof(f1776,plain,
( e12 = op1(e10,e12)
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f126,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5068,plain,
( ~ spl42_126
| ~ spl42_256 ),
inference(avatar_contradiction_clause,[],[f5067]) ).
fof(f5067,plain,
( $false
| ~ spl42_126
| ~ spl42_256 ),
inference(subsumption_resolution,[],[f3386,f1162]) ).
fof(f1162,plain,
( e12 = op1(e12,e11)
| ~ spl42_126 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1160,plain,
( spl42_126
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).
fof(f3386,plain,
( e12 != op1(e12,e11)
| ~ spl42_256 ),
inference(forward_demodulation,[],[f164,f1813]) ).
fof(f1813,plain,
( e12 = op1(e13,e11)
| ~ spl42_256 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1811,plain,
( spl42_256
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).
fof(f164,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5026,plain,
( ~ spl42_84
| ~ spl42_108
| ~ spl42_320 ),
inference(avatar_contradiction_clause,[],[f5025]) ).
fof(f5025,plain,
( $false
| ~ spl42_84
| ~ spl42_108
| ~ spl42_320 ),
inference(subsumption_resolution,[],[f5024,f530]) ).
fof(f530,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5024,plain,
( e11 = e12
| ~ spl42_84
| ~ spl42_108
| ~ spl42_320 ),
inference(forward_demodulation,[],[f5022,f1082]) ).
fof(f5022,plain,
( e11 = op1(e11,e13)
| ~ spl42_84
| ~ spl42_320 ),
inference(backward_demodulation,[],[f2307,f970]) ).
fof(f970,plain,
( e13 = op1(e11,e11)
| ~ spl42_84 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f2307,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl42_320 ),
inference(avatar_component_clause,[],[f2305]) ).
fof(f2305,plain,
( spl42_320
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_320])]) ).
fof(f5007,plain,
( ~ spl42_28
| ~ spl42_149
| ~ spl42_168
| ~ spl42_248
| ~ spl42_266
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f5006]) ).
fof(f5006,plain,
( $false
| ~ spl42_28
| ~ spl42_149
| ~ spl42_168
| ~ spl42_248
| ~ spl42_266
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f5005,f111]) ).
fof(f111,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f5005,plain,
( e21 = e22
| ~ spl42_28
| ~ spl42_149
| ~ spl42_168
| ~ spl42_248
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f5004,f728]) ).
fof(f728,plain,
( e22 = op2(e22,e20)
| ~ spl42_28 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl42_28
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_28])]) ).
fof(f5004,plain,
( e21 = op2(e22,e20)
| ~ spl42_149
| ~ spl42_168
| ~ spl42_248
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f5003,f1266]) ).
fof(f1266,plain,
( e21 = h4(e11)
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f1265,plain,
( spl42_149
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f5003,plain,
( op2(e22,e20) = h4(e11)
| ~ spl42_168
| ~ spl42_248
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4829,f1760]) ).
fof(f1760,plain,
( e11 = op1(e12,e10)
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1758,plain,
( spl42_248
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f4829,plain,
( op2(e22,e20) = h4(op1(e12,e10))
| ~ spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4828,f1885]) ).
fof(f1885,plain,
( e22 = h4(e12)
| ~ spl42_266 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1884,plain,
( spl42_266
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_266])]) ).
fof(f4828,plain,
( h4(op1(e12,e10)) = op2(h4(e12),e20)
| ~ spl42_168
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1360,f2028]) ).
fof(f2028,plain,
( e20 = h4(e10)
| ~ spl42_286 ),
inference(avatar_component_clause,[],[f2027]) ).
fof(f2027,plain,
( spl42_286
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_286])]) ).
fof(f1360,plain,
( h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
| ~ spl42_168 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1359,plain,
( spl42_168
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f4993,plain,
( ~ spl42_94
| ~ spl42_96 ),
inference(avatar_split_clause,[],[f4992,f1022,f1014]) ).
fof(f1014,plain,
( spl42_94
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f4992,plain,
( e10 != op1(e11,e11)
| ~ spl42_96 ),
inference(forward_demodulation,[],[f117,f1024]) ).
fof(f117,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4937,plain,
( ~ spl42_96
| ~ spl42_111 ),
inference(avatar_contradiction_clause,[],[f4936]) ).
fof(f4936,plain,
( $false
| ~ spl42_96
| ~ spl42_111 ),
inference(subsumption_resolution,[],[f4935,f533]) ).
fof(f533,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4935,plain,
( e10 = e11
| ~ spl42_96
| ~ spl42_111 ),
inference(forward_demodulation,[],[f1095,f1024]) ).
fof(f1095,plain,
( e11 = op1(e10,e11)
| ~ spl42_111 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1093,plain,
( spl42_111
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).
fof(f4926,plain,
( ~ spl42_99
| spl42_176
| ~ spl42_251
| ~ spl42_266
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4925]) ).
fof(f4925,plain,
( $false
| ~ spl42_99
| spl42_176
| ~ spl42_251
| ~ spl42_266
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4924,f1038]) ).
fof(f1038,plain,
( e22 = op2(e20,e22)
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl42_99
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f4924,plain,
( e22 != op2(e20,e22)
| spl42_176
| ~ spl42_251
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4923,f1885]) ).
fof(f4923,plain,
( op2(e20,e22) != h4(e12)
| spl42_176
| ~ spl42_251
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4922,f1776]) ).
fof(f4922,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| spl42_176
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4921,f2028]) ).
fof(f4921,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| spl42_176
| ~ spl42_266 ),
inference(forward_demodulation,[],[f1393,f1885]) ).
fof(f1393,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl42_176 ),
inference(avatar_component_clause,[],[f1391]) ).
fof(f1391,plain,
( spl42_176
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f4885,plain,
( ~ spl42_147
| ~ spl42_149
| spl42_180
| ~ spl42_220
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4884]) ).
fof(f4884,plain,
( $false
| ~ spl42_147
| ~ spl42_149
| spl42_180
| ~ spl42_220
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4883,f1628]) ).
fof(f1628,plain,
( op2(e20,e20) = e21
| ~ spl42_220 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f1627,plain,
( spl42_220
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f4883,plain,
( op2(e20,e20) != e21
| ~ spl42_147
| ~ spl42_149
| spl42_180
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4882,f1266]) ).
fof(f4882,plain,
( op2(e20,e20) != h4(e11)
| ~ spl42_147
| spl42_180
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4881,f1258]) ).
fof(f1258,plain,
( op1(e10,e10) = e11
| ~ spl42_147 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1256,plain,
( spl42_147
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f4881,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl42_180
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1409,f2028]) ).
fof(f1409,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl42_180 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl42_180
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f4868,plain,
( ~ spl42_67
| ~ spl42_97
| ~ spl42_149
| spl42_175 ),
inference(avatar_contradiction_clause,[],[f4867]) ).
fof(f4867,plain,
( $false
| ~ spl42_67
| ~ spl42_97
| ~ spl42_149
| spl42_175 ),
inference(subsumption_resolution,[],[f4866,f893]) ).
fof(f4866,plain,
( e21 != op2(e23,e23)
| ~ spl42_97
| ~ spl42_149
| spl42_175 ),
inference(forward_demodulation,[],[f4865,f1266]) ).
fof(f4865,plain,
( op2(e23,e23) != h4(e11)
| ~ spl42_97
| spl42_175 ),
inference(forward_demodulation,[],[f1389,f1028]) ).
fof(f1028,plain,
( e11 = op1(e13,e13)
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1027]) ).
fof(f1027,plain,
( spl42_97
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).
fof(f1389,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| spl42_175 ),
inference(avatar_component_clause,[],[f1387]) ).
fof(f1387,plain,
( spl42_175
<=> op2(e23,e23) = h4(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_175])]) ).
fof(f4836,plain,
( ~ spl42_128
| ~ spl42_149
| spl42_172
| ~ spl42_259
| ~ spl42_266 ),
inference(avatar_contradiction_clause,[],[f4835]) ).
fof(f4835,plain,
( $false
| ~ spl42_128
| ~ spl42_149
| spl42_172
| ~ spl42_259
| ~ spl42_266 ),
inference(subsumption_resolution,[],[f4834,f1171]) ).
fof(f4834,plain,
( e21 != op2(e22,e22)
| ~ spl42_149
| spl42_172
| ~ spl42_259
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4833,f1266]) ).
fof(f4833,plain,
( op2(e22,e22) != h4(e11)
| spl42_172
| ~ spl42_259
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4832,f1840]) ).
fof(f1840,plain,
( e11 = op1(e12,e12)
| ~ spl42_259 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f1839,plain,
( spl42_259
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f4832,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl42_172
| ~ spl42_266 ),
inference(forward_demodulation,[],[f1377,f1885]) ).
fof(f1377,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl42_172 ),
inference(avatar_component_clause,[],[f1375]) ).
fof(f1375,plain,
( spl42_172
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f4789,plain,
( ~ spl42_28
| ~ spl42_155
| spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4788]) ).
fof(f4788,plain,
( $false
| ~ spl42_28
| ~ spl42_155
| spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4787,f728]) ).
fof(f4787,plain,
( e22 != op2(e22,e20)
| ~ spl42_155
| spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4786,f1885]) ).
fof(f4786,plain,
( op2(e22,e20) != h4(e12)
| ~ spl42_155
| spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4785,f1294]) ).
fof(f1294,plain,
( e12 = op1(e12,e10)
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl42_155
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f4785,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| spl42_168
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4784,f1885]) ).
fof(f4784,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl42_168
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1361,f2028]) ).
fof(f1361,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl42_168 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f4777,plain,
( ~ spl42_279
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f4773,f1986,f1971]) ).
fof(f1971,plain,
( spl42_279
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).
fof(f4773,plain,
( e13 != op1(e11,e10)
| ~ spl42_281 ),
inference(backward_demodulation,[],[f142,f1988]) ).
fof(f142,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4716,plain,
( spl42_225
| ~ spl42_251
| ~ spl42_293 ),
inference(avatar_contradiction_clause,[],[f4715]) ).
fof(f4715,plain,
( $false
| spl42_225
| ~ spl42_251
| ~ spl42_293 ),
inference(subsumption_resolution,[],[f4714,f1656]) ).
fof(f1656,plain,
( e10 != e12
| spl42_225 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1655,plain,
( spl42_225
<=> e10 = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f4714,plain,
( e10 = e12
| ~ spl42_251
| ~ spl42_293 ),
inference(forward_demodulation,[],[f4713,f1776]) ).
fof(f4713,plain,
( e10 = op1(e10,e12)
| ~ spl42_251
| ~ spl42_293 ),
inference(forward_demodulation,[],[f2090,f1776]) ).
fof(f2090,plain,
( e10 = op1(e10,op1(e10,e12))
| ~ spl42_293 ),
inference(avatar_component_clause,[],[f2088]) ).
fof(f4703,plain,
( ~ spl42_149
| ~ spl42_177
| ~ spl42_183
| spl42_257
| ~ spl42_279
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4702]) ).
fof(f4702,plain,
( $false
| ~ spl42_149
| ~ spl42_177
| ~ spl42_183
| spl42_257
| ~ spl42_279
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4701,f1820]) ).
fof(f1820,plain,
( e20 != e23
| spl42_257 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1818,plain,
( spl42_257
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f4701,plain,
( e20 = e23
| ~ spl42_149
| ~ spl42_177
| ~ spl42_183
| ~ spl42_279
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4700,f427]) ).
fof(f427,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( e23 = h4(e13)
& op2(e23,e23) = h4(e11)
& op2(op2(e23,op2(e23,e23)),e23) = h4(e10)
& op2(e23,op2(e23,e23)) = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f4700,plain,
( e20 = h4(e13)
| ~ spl42_149
| ~ spl42_177
| ~ spl42_183
| ~ spl42_279
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4525,f1973]) ).
fof(f1973,plain,
( e13 = op1(e11,e10)
| ~ spl42_279 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f4525,plain,
( e20 = h4(op1(e11,e10))
| ~ spl42_149
| ~ spl42_177
| ~ spl42_183
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4524,f1424]) ).
fof(f1424,plain,
( e20 = op2(e21,e20)
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f4524,plain,
( op2(e21,e20) = h4(op1(e11,e10))
| ~ spl42_149
| ~ spl42_177
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4523,f1266]) ).
fof(f4523,plain,
( h4(op1(e11,e10)) = op2(h4(e11),e20)
| ~ spl42_177
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1396,f2028]) ).
fof(f1396,plain,
( h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
| ~ spl42_177 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f1395,plain,
( spl42_177
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f4660,plain,
( ~ spl42_135
| ~ spl42_279
| ~ spl42_292 ),
inference(avatar_contradiction_clause,[],[f4659]) ).
fof(f4659,plain,
( $false
| ~ spl42_135
| ~ spl42_279
| ~ spl42_292 ),
inference(subsumption_resolution,[],[f4658,f529]) ).
fof(f4658,plain,
( e11 = e13
| ~ spl42_135
| ~ spl42_279
| ~ spl42_292 ),
inference(forward_demodulation,[],[f4655,f1973]) ).
fof(f4655,plain,
( e11 = op1(e11,e10)
| ~ spl42_135
| ~ spl42_292 ),
inference(backward_demodulation,[],[f2086,f1202]) ).
fof(f1202,plain,
( e10 = op1(e11,e12)
| ~ spl42_135 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1200,plain,
( spl42_135
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).
fof(f2086,plain,
( e11 = op1(e11,op1(e11,e12))
| ~ spl42_292 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2084,plain,
( spl42_292
<=> e11 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f4620,plain,
( ~ spl42_108
| ~ spl42_149
| spl42_166
| ~ spl42_199
| ~ spl42_266 ),
inference(avatar_contradiction_clause,[],[f4619]) ).
fof(f4619,plain,
( $false
| ~ spl42_108
| ~ spl42_149
| spl42_166
| ~ spl42_199
| ~ spl42_266 ),
inference(subsumption_resolution,[],[f4618,f1508]) ).
fof(f1508,plain,
( e22 = op2(e21,e23)
| ~ spl42_199 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1506,plain,
( spl42_199
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f4618,plain,
( e22 != op2(e21,e23)
| ~ spl42_108
| ~ spl42_149
| spl42_166
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4617,f1885]) ).
fof(f4617,plain,
( op2(e21,e23) != h4(e12)
| ~ spl42_108
| ~ spl42_149
| spl42_166 ),
inference(forward_demodulation,[],[f4616,f1082]) ).
fof(f4616,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl42_149
| spl42_166 ),
inference(forward_demodulation,[],[f1353,f1266]) ).
fof(f1353,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl42_166 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1351,plain,
( spl42_166
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_166])]) ).
fof(f4566,plain,
( ~ spl42_145
| spl42_179
| ~ spl42_266
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4565]) ).
fof(f4565,plain,
( $false
| ~ spl42_145
| spl42_179
| ~ spl42_266
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4564,f1248]) ).
fof(f1248,plain,
( e20 = op2(e22,e23)
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1246]) ).
fof(f1246,plain,
( spl42_145
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f4564,plain,
( e20 != op2(e22,e23)
| spl42_179
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4563,f2028]) ).
fof(f4563,plain,
( op2(e22,e23) != h4(e10)
| spl42_179
| ~ spl42_266 ),
inference(forward_demodulation,[],[f1405,f1885]) ).
fof(f1405,plain,
( h4(e10) != op2(h4(e12),e23)
| spl42_179 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1403,plain,
( spl42_179
<=> h4(e10) = op2(h4(e12),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f4539,plain,
( ~ spl42_255
| ~ spl42_256 ),
inference(avatar_split_clause,[],[f3011,f1811,f1807]) ).
fof(f1807,plain,
( spl42_255
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f3011,plain,
( e12 != op1(e13,e10)
| ~ spl42_256 ),
inference(forward_demodulation,[],[f129,f1813]) ).
fof(f129,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4538,plain,
( ~ spl42_280
| ~ spl42_155 ),
inference(avatar_split_clause,[],[f4512,f1292,f1975]) ).
fof(f1975,plain,
( spl42_280
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f4512,plain,
( e12 != op1(e11,e10)
| ~ spl42_155 ),
inference(forward_demodulation,[],[f118,f1294]) ).
fof(f118,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4499,plain,
( ~ spl42_97
| ~ spl42_191
| ~ spl42_294 ),
inference(avatar_contradiction_clause,[],[f4498]) ).
fof(f4498,plain,
( $false
| ~ spl42_97
| ~ spl42_191
| ~ spl42_294 ),
inference(subsumption_resolution,[],[f4497,f529]) ).
fof(f4497,plain,
( e11 = e13
| ~ spl42_97
| ~ spl42_191
| ~ spl42_294 ),
inference(forward_demodulation,[],[f4496,f1028]) ).
fof(f4496,plain,
( e13 = op1(e13,e13)
| ~ spl42_191
| ~ spl42_294 ),
inference(forward_demodulation,[],[f2094,f1467]) ).
fof(f1467,plain,
( e13 = op1(e13,e12)
| ~ spl42_191 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f1465,plain,
( spl42_191
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).
fof(f2094,plain,
( e13 = op1(e13,op1(e13,e12))
| ~ spl42_294 ),
inference(avatar_component_clause,[],[f2092]) ).
fof(f2092,plain,
( spl42_294
<=> e13 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_294])]) ).
fof(f4464,plain,
( ~ spl42_101
| ~ spl42_135
| spl42_292 ),
inference(avatar_split_clause,[],[f4460,f2084,f1200,f1047]) ).
fof(f1047,plain,
( spl42_101
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).
fof(f4460,plain,
( e11 != op1(e11,e10)
| ~ spl42_135
| spl42_292 ),
inference(backward_demodulation,[],[f2085,f1202]) ).
fof(f2085,plain,
( e11 != op1(e11,op1(e11,e12))
| spl42_292 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f4447,plain,
( ~ spl42_101
| ~ spl42_37 ),
inference(avatar_split_clause,[],[f3440,f765,f1047]) ).
fof(f765,plain,
( spl42_37
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).
fof(f3440,plain,
( e11 != op1(e11,e10)
| ~ spl42_37 ),
inference(forward_demodulation,[],[f144,f766]) ).
fof(f766,plain,
( e11 = op1(e11,e11)
| ~ spl42_37 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f144,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4428,plain,
( ~ spl42_149
| spl42_177
| ~ spl42_183
| ~ spl42_263
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4427]) ).
fof(f4427,plain,
( $false
| ~ spl42_149
| spl42_177
| ~ spl42_183
| ~ spl42_263
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4426,f1424]) ).
fof(f4426,plain,
( e20 != op2(e21,e20)
| ~ spl42_149
| spl42_177
| ~ spl42_263
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4425,f2028]) ).
fof(f4425,plain,
( op2(e21,e20) != h4(e10)
| ~ spl42_149
| spl42_177
| ~ spl42_263
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4424,f1868]) ).
fof(f1868,plain,
( e10 = op1(e11,e10)
| ~ spl42_263 ),
inference(avatar_component_clause,[],[f1866]) ).
fof(f1866,plain,
( spl42_263
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).
fof(f4424,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl42_149
| spl42_177
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4423,f1266]) ).
fof(f4423,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl42_177
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1397,f2028]) ).
fof(f1397,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl42_177 ),
inference(avatar_component_clause,[],[f1395]) ).
fof(f4393,plain,
( ~ spl42_149
| spl42_167
| ~ spl42_188
| ~ spl42_206
| ~ spl42_266 ),
inference(avatar_contradiction_clause,[],[f4392]) ).
fof(f4392,plain,
( $false
| ~ spl42_149
| spl42_167
| ~ spl42_188
| ~ spl42_206
| ~ spl42_266 ),
inference(subsumption_resolution,[],[f4391,f1450]) ).
fof(f1450,plain,
( e23 = op2(e21,e22)
| ~ spl42_188 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1448,plain,
( spl42_188
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f4391,plain,
( e23 != op2(e21,e22)
| ~ spl42_149
| spl42_167
| ~ spl42_206
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4390,f427]) ).
fof(f4390,plain,
( op2(e21,e22) != h4(e13)
| ~ spl42_149
| spl42_167
| ~ spl42_206
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4389,f1550]) ).
fof(f4389,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl42_149
| spl42_167
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4388,f1266]) ).
fof(f4388,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| spl42_167
| ~ spl42_266 ),
inference(forward_demodulation,[],[f1357,f1885]) ).
fof(f1357,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl42_167 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl42_167
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).
fof(f4360,plain,
( ~ spl42_136
| spl42_165
| ~ spl42_226
| ~ spl42_266
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4359]) ).
fof(f4359,plain,
( $false
| ~ spl42_136
| spl42_165
| ~ spl42_226
| ~ spl42_266
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4358,f1663]) ).
fof(f1663,plain,
( e20 = op2(e23,e22)
| ~ spl42_226 ),
inference(avatar_component_clause,[],[f1661]) ).
fof(f1661,plain,
( spl42_226
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_226])]) ).
fof(f4358,plain,
( e20 != op2(e23,e22)
| ~ spl42_136
| spl42_165
| ~ spl42_266
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4357,f2028]) ).
fof(f4357,plain,
( op2(e23,e22) != h4(e10)
| ~ spl42_136
| spl42_165
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4356,f1206]) ).
fof(f1206,plain,
( e10 = op1(e13,e12)
| ~ spl42_136 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl42_136
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).
fof(f4356,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| spl42_165
| ~ spl42_266 ),
inference(forward_demodulation,[],[f1349,f1885]) ).
fof(f1349,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl42_165 ),
inference(avatar_component_clause,[],[f1347]) ).
fof(f1347,plain,
( spl42_165
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).
fof(f4335,plain,
( ~ spl42_149
| spl42_163
| ~ spl42_218
| ~ spl42_266
| ~ spl42_277 ),
inference(avatar_contradiction_clause,[],[f4334]) ).
fof(f4334,plain,
( $false
| ~ spl42_149
| spl42_163
| ~ spl42_218
| ~ spl42_266
| ~ spl42_277 ),
inference(subsumption_resolution,[],[f4333,f1954]) ).
fof(f4333,plain,
( e23 != op2(e22,e21)
| ~ spl42_149
| spl42_163
| ~ spl42_218
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4332,f427]) ).
fof(f4332,plain,
( op2(e22,e21) != h4(e13)
| ~ spl42_149
| spl42_163
| ~ spl42_218
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4331,f1618]) ).
fof(f4331,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl42_149
| spl42_163
| ~ spl42_266 ),
inference(forward_demodulation,[],[f4330,f1885]) ).
fof(f4330,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl42_149
| spl42_163 ),
inference(forward_demodulation,[],[f1341,f1266]) ).
fof(f1341,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl42_163 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1339,plain,
( spl42_163
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).
fof(f4240,plain,
( ~ spl42_89
| spl42_174
| ~ spl42_281
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f4239]) ).
fof(f4239,plain,
( $false
| ~ spl42_89
| spl42_174
| ~ spl42_281
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f4238,f994]) ).
fof(f994,plain,
( e23 = op2(e23,e20)
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f992,plain,
( spl42_89
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f4238,plain,
( e23 != op2(e23,e20)
| spl42_174
| ~ spl42_281
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4237,f427]) ).
fof(f4237,plain,
( op2(e23,e20) != h4(e13)
| spl42_174
| ~ spl42_281
| ~ spl42_286 ),
inference(forward_demodulation,[],[f4236,f1988]) ).
fof(f4236,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| spl42_174
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1385,f2028]) ).
fof(f1385,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| spl42_174 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl42_174
<=> h4(op1(e13,e10)) = op2(e23,h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f4235,plain,
( ~ spl42_297
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f4234,f1422,f2122]) ).
fof(f2122,plain,
( spl42_297
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_297])]) ).
fof(f4234,plain,
( e20 != h2(e11)
| ~ spl42_183 ),
inference(forward_demodulation,[],[f2055,f1424]) ).
fof(f2055,plain,
op2(e21,e20) != h2(e11),
inference(backward_demodulation,[],[f580,f401]) ).
fof(f401,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,op2(e21,e21)) = h2(e12)
& h2(e10) = op2(op2(e21,op2(e21,e21)),e21)
& op2(e21,e21) = h2(e11)
& e21 = h2(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f580,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4183,plain,
( ~ spl42_88
| ~ spl42_89 ),
inference(avatar_split_clause,[],[f4182,f992,f988]) ).
fof(f4182,plain,
( e23 != op2(e21,e20)
| ~ spl42_89 ),
inference(forward_demodulation,[],[f535,f994]) ).
fof(f4176,plain,
( ~ spl42_222
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f3179,f1265,f1640]) ).
fof(f1640,plain,
( spl42_222
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f3179,plain,
( e21 != op2(e20,e23)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f2447,f1266]) ).
fof(f2447,plain,
op2(e20,e23) != h4(e11),
inference(backward_demodulation,[],[f556,f426]) ).
fof(f426,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f556,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4175,plain,
( ~ spl42_223
| ~ spl42_199 ),
inference(avatar_split_clause,[],[f4139,f1506,f1644]) ).
fof(f1644,plain,
( spl42_223
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).
fof(f4139,plain,
( e22 != op2(e20,e23)
| ~ spl42_199 ),
inference(forward_demodulation,[],[f572,f1508]) ).
fof(f572,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4107,plain,
( ~ spl42_31
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
fof(f4106,plain,
( $false
| ~ spl42_31
| ~ spl42_253 ),
inference(subsumption_resolution,[],[f4105,f741]) ).
fof(f741,plain,
( e21 = op2(e20,e21)
| ~ spl42_31 ),
inference(avatar_component_clause,[],[f739]) ).
fof(f739,plain,
( spl42_31
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_31])]) ).
fof(f4105,plain,
( e21 != op2(e20,e21)
| ~ spl42_253 ),
inference(forward_demodulation,[],[f550,f1796]) ).
fof(f1796,plain,
( e21 = op2(e22,e21)
| ~ spl42_253 ),
inference(avatar_component_clause,[],[f1794]) ).
fof(f1794,plain,
( spl42_253
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f550,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f4090,plain,
( ~ spl42_149
| ~ spl42_326 ),
inference(avatar_contradiction_clause,[],[f4089]) ).
fof(f4089,plain,
( $false
| ~ spl42_149
| ~ spl42_326 ),
inference(subsumption_resolution,[],[f4088,f114]) ).
fof(f4088,plain,
( e21 = e23
| ~ spl42_149
| ~ spl42_326 ),
inference(forward_demodulation,[],[f2352,f1266]) ).
fof(f2352,plain,
( e23 = h4(e11)
| ~ spl42_326 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2351,plain,
( spl42_326
<=> e23 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_326])]) ).
fof(f4067,plain,
( ~ spl42_104
| spl42_275 ),
inference(avatar_contradiction_clause,[],[f4066]) ).
fof(f4066,plain,
( $false
| ~ spl42_104
| spl42_275 ),
inference(subsumption_resolution,[],[f4065,f1942]) ).
fof(f1942,plain,
( e20 != h1(e11)
| spl42_275 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f1941,plain,
( spl42_275
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f4065,plain,
( e20 = h1(e11)
| ~ spl42_104 ),
inference(forward_demodulation,[],[f405,f1062]) ).
fof(f1062,plain,
( e20 = op2(e20,e20)
| ~ spl42_104 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1060,plain,
( spl42_104
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_104])]) ).
fof(f405,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e10) = op2(op2(e20,op2(e20,e20)),e20)
& op2(e20,op2(e20,e20)) = h1(e12)
& op2(e20,e20) = h1(e11)
& e20 = h1(e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f4061,plain,
( ~ spl42_193
| ~ spl42_194 ),
inference(avatar_split_clause,[],[f4060,f1483,f1477]) ).
fof(f1477,plain,
( spl42_193
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).
fof(f1483,plain,
( spl42_194
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f4060,plain,
( e21 != op2(e21,e20)
| ~ spl42_194 ),
inference(forward_demodulation,[],[f578,f1485]) ).
fof(f1485,plain,
( e21 = op2(e21,e22)
| ~ spl42_194 ),
inference(avatar_component_clause,[],[f1483]) ).
fof(f578,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4059,plain,
( ~ spl42_67
| ~ spl42_72 ),
inference(avatar_contradiction_clause,[],[f4058]) ).
fof(f4058,plain,
( $false
| ~ spl42_67
| ~ spl42_72 ),
inference(subsumption_resolution,[],[f4057,f114]) ).
fof(f4057,plain,
( e21 = e23
| ~ spl42_67
| ~ spl42_72 ),
inference(forward_demodulation,[],[f915,f893]) ).
fof(f915,plain,
( e23 = op2(e23,e23)
| ~ spl42_72 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl42_72
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_72])]) ).
fof(f4054,plain,
( ~ spl42_265
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f4053,f726,f1877]) ).
fof(f1877,plain,
( spl42_265
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f4053,plain,
( e22 != op2(e23,e20)
| ~ spl42_28 ),
inference(forward_demodulation,[],[f537,f728]) ).
fof(f537,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4048,plain,
( ~ spl42_198
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f3948,f726,f1502]) ).
fof(f1502,plain,
( spl42_198
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).
fof(f3948,plain,
( e22 != op2(e21,e20)
| ~ spl42_28 ),
inference(forward_demodulation,[],[f534,f728]) ).
fof(f534,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4038,plain,
( ~ spl42_64
| ~ spl42_140 ),
inference(avatar_contradiction_clause,[],[f4037]) ).
fof(f4037,plain,
( $false
| ~ spl42_64
| ~ spl42_140 ),
inference(subsumption_resolution,[],[f4036,f111]) ).
fof(f4036,plain,
( e21 = e22
| ~ spl42_64
| ~ spl42_140 ),
inference(forward_demodulation,[],[f1226,f879]) ).
fof(f879,plain,
( e22 = h2(e12)
| ~ spl42_64 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl42_64
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_64])]) ).
fof(f1226,plain,
( e21 = h2(e12)
| ~ spl42_140 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1224,plain,
( spl42_140
<=> e21 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).
fof(f4007,plain,
( spl42_220
| ~ spl42_276 ),
inference(avatar_split_clause,[],[f3975,f1945,f1627]) ).
fof(f1945,plain,
( spl42_276
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f3975,plain,
( op2(e20,e20) = e21
| ~ spl42_276 ),
inference(forward_demodulation,[],[f405,f1947]) ).
fof(f1947,plain,
( e21 = h1(e11)
| ~ spl42_276 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f3991,plain,
( spl42_104
| ~ spl42_32
| ~ spl42_141 ),
inference(avatar_split_clause,[],[f3901,f1228,f743,f1060]) ).
fof(f743,plain,
( spl42_32
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_32])]) ).
fof(f1228,plain,
( spl42_141
<=> e20 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f3901,plain,
( e20 = op2(e20,e20)
| ~ spl42_32
| ~ spl42_141 ),
inference(forward_demodulation,[],[f1230,f745]) ).
fof(f745,plain,
( e20 = op2(e20,e21)
| ~ spl42_32 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f1230,plain,
( e20 = op2(e20,op2(e20,e21))
| ~ spl42_141 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f3954,plain,
( ~ spl42_117
| ~ spl42_145
| ~ spl42_325 ),
inference(avatar_contradiction_clause,[],[f3953]) ).
fof(f3953,plain,
( $false
| ~ spl42_117
| ~ spl42_145
| ~ spl42_325 ),
inference(subsumption_resolution,[],[f3952,f112]) ).
fof(f112,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3952,plain,
( e20 = e22
| ~ spl42_117
| ~ spl42_145
| ~ spl42_325 ),
inference(forward_demodulation,[],[f3951,f1248]) ).
fof(f3951,plain,
( e22 = op2(e22,e23)
| ~ spl42_117
| ~ spl42_325 ),
inference(forward_demodulation,[],[f3950,f2336]) ).
fof(f2336,plain,
( e22 = h3(e12)
| ~ spl42_325 ),
inference(avatar_component_clause,[],[f2335]) ).
fof(f2335,plain,
( spl42_325
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_325])]) ).
fof(f3950,plain,
( op2(e22,e23) = h3(e12)
| ~ spl42_117 ),
inference(forward_demodulation,[],[f1962,f1121]) ).
fof(f1121,plain,
( e23 = h3(e11)
| ~ spl42_117 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl42_117
<=> e23 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).
fof(f1962,plain,
h3(e12) = op2(e22,h3(e11)),
inference(forward_demodulation,[],[f217,f218]) ).
fof(f218,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e22 = h3(e13)
& op2(e22,e22) = h3(e11)
& op2(e22,op2(e22,e22)) = h3(e12)
& h3(e10) = op2(op2(e22,op2(e22,e22)),e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f217,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f3923,plain,
( spl42_117
| ~ spl42_127 ),
inference(avatar_split_clause,[],[f3922,f1165,f1120]) ).
fof(f1165,plain,
( spl42_127
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).
fof(f3922,plain,
( e23 = h3(e11)
| ~ spl42_127 ),
inference(forward_demodulation,[],[f218,f1167]) ).
fof(f1167,plain,
( e23 = op2(e22,e22)
| ~ spl42_127 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f3886,plain,
( ~ spl42_131
| ~ spl42_226 ),
inference(avatar_split_clause,[],[f3885,f1661,f1183]) ).
fof(f1183,plain,
( spl42_131
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).
fof(f3885,plain,
( e20 != op2(e20,e22)
| ~ spl42_226 ),
inference(forward_demodulation,[],[f552,f1663]) ).
fof(f552,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3883,plain,
( ~ spl42_264
| ~ spl42_28 ),
inference(avatar_split_clause,[],[f3882,f726,f1872]) ).
fof(f1872,plain,
( spl42_264
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).
fof(f3882,plain,
( e22 != h1(e11)
| ~ spl42_28 ),
inference(backward_demodulation,[],[f1949,f728]) ).
fof(f1949,plain,
op2(e22,e20) != h1(e11),
inference(forward_demodulation,[],[f570,f405]) ).
fof(f570,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3872,plain,
( ~ spl42_129
| ~ spl42_89 ),
inference(avatar_split_clause,[],[f3871,f992,f1174]) ).
fof(f1174,plain,
( spl42_129
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).
fof(f3871,plain,
( e23 != h1(e11)
| ~ spl42_89 ),
inference(forward_demodulation,[],[f1845,f994]) ).
fof(f1845,plain,
op2(e23,e20) != h1(e11),
inference(backward_demodulation,[],[f577,f405]) ).
fof(f577,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3867,plain,
( ~ spl42_307
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f3866,f1422,f2206]) ).
fof(f3866,plain,
( e20 != op2(e21,e22)
| ~ spl42_183 ),
inference(forward_demodulation,[],[f578,f1424]) ).
fof(f3855,plain,
( spl42_64
| ~ spl42_199
| ~ spl42_290 ),
inference(avatar_contradiction_clause,[],[f3854]) ).
fof(f3854,plain,
( $false
| spl42_64
| ~ spl42_199
| ~ spl42_290 ),
inference(subsumption_resolution,[],[f3853,f880]) ).
fof(f880,plain,
( e22 != h2(e12)
| spl42_64 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f3853,plain,
( e22 = h2(e12)
| ~ spl42_199
| ~ spl42_290 ),
inference(forward_demodulation,[],[f1508,f3780]) ).
fof(f3780,plain,
( op2(e21,e23) = h2(e12)
| ~ spl42_290 ),
inference(forward_demodulation,[],[f2058,f2071]) ).
fof(f2071,plain,
( e23 = h2(e11)
| ~ spl42_290 ),
inference(avatar_component_clause,[],[f2070]) ).
fof(f2070,plain,
( spl42_290
<=> e23 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_290])]) ).
fof(f2058,plain,
h2(e12) = op2(e21,h2(e11)),
inference(backward_demodulation,[],[f403,f401]) ).
fof(f403,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f3850,plain,
( ~ spl42_139
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f3849]) ).
fof(f3849,plain,
( $false
| ~ spl42_139
| ~ spl42_253 ),
inference(subsumption_resolution,[],[f3848,f111]) ).
fof(f3848,plain,
( e21 = e22
| ~ spl42_139
| ~ spl42_253 ),
inference(forward_demodulation,[],[f3847,f1796]) ).
fof(f3847,plain,
( e22 = op2(e22,e21)
| ~ spl42_139
| ~ spl42_253 ),
inference(forward_demodulation,[],[f1222,f1796]) ).
fof(f1222,plain,
( e22 = op2(e22,op2(e22,e21))
| ~ spl42_139 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1220,plain,
( spl42_139
<=> e22 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f3821,plain,
( ~ spl42_226
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f3820]) ).
fof(f3820,plain,
( $false
| ~ spl42_226
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f3819,f2208]) ).
fof(f3819,plain,
( e20 != op2(e21,e22)
| ~ spl42_226 ),
inference(forward_demodulation,[],[f557,f1663]) ).
fof(f557,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3775,plain,
( ~ spl42_285
| ~ spl42_290 ),
inference(avatar_split_clause,[],[f3774,f2070,f2016]) ).
fof(f2016,plain,
( spl42_285
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).
fof(f3774,plain,
( e23 != op2(e21,e23)
| ~ spl42_290 ),
inference(forward_demodulation,[],[f2056,f2071]) ).
fof(f2056,plain,
op2(e21,e23) != h2(e11),
inference(backward_demodulation,[],[f558,f401]) ).
fof(f558,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3766,plain,
( ~ spl42_277
| ~ spl42_290 ),
inference(avatar_split_clause,[],[f3765,f2070,f1952]) ).
fof(f3765,plain,
( e23 != op2(e22,e21)
| ~ spl42_290 ),
inference(forward_demodulation,[],[f2425,f2071]) ).
fof(f2425,plain,
op2(e22,e21) != h2(e11),
inference(forward_demodulation,[],[f549,f401]) ).
fof(f549,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3759,plain,
( ~ spl42_144
| ~ spl42_145
| spl42_257 ),
inference(avatar_contradiction_clause,[],[f3758]) ).
fof(f3758,plain,
( $false
| ~ spl42_144
| ~ spl42_145
| spl42_257 ),
inference(subsumption_resolution,[],[f3757,f1820]) ).
fof(f3757,plain,
( e20 = e23
| ~ spl42_144
| ~ spl42_145 ),
inference(forward_demodulation,[],[f1244,f1248]) ).
fof(f1244,plain,
( e23 = op2(e22,e23)
| ~ spl42_144 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl42_144
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f3756,plain,
( ~ spl42_149
| spl42_170
| ~ spl42_256
| ~ spl42_266
| ~ spl42_267 ),
inference(avatar_contradiction_clause,[],[f3755]) ).
fof(f3755,plain,
( $false
| ~ spl42_149
| spl42_170
| ~ spl42_256
| ~ spl42_266
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f3754,f1891]) ).
fof(f1891,plain,
( e22 = op2(e23,e21)
| ~ spl42_267 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1889,plain,
( spl42_267
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f3754,plain,
( e22 != op2(e23,e21)
| ~ spl42_149
| spl42_170
| ~ spl42_256
| ~ spl42_266 ),
inference(forward_demodulation,[],[f3753,f1885]) ).
fof(f3753,plain,
( op2(e23,e21) != h4(e12)
| ~ spl42_149
| spl42_170
| ~ spl42_256 ),
inference(forward_demodulation,[],[f3752,f1813]) ).
fof(f3752,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl42_149
| spl42_170 ),
inference(forward_demodulation,[],[f1369,f1266]) ).
fof(f1369,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl42_170 ),
inference(avatar_component_clause,[],[f1367]) ).
fof(f1367,plain,
( spl42_170
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f3725,plain,
( ~ spl42_115
| spl42_164
| ~ spl42_202
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f3724]) ).
fof(f3724,plain,
( $false
| ~ spl42_115
| spl42_164
| ~ spl42_202
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f3723,f1526]) ).
fof(f1526,plain,
( e23 = op2(e20,e23)
| ~ spl42_202 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl42_202
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f3723,plain,
( e23 != op2(e20,e23)
| ~ spl42_115
| spl42_164
| ~ spl42_286 ),
inference(forward_demodulation,[],[f3722,f427]) ).
fof(f3722,plain,
( op2(e20,e23) != h4(e13)
| ~ spl42_115
| spl42_164
| ~ spl42_286 ),
inference(forward_demodulation,[],[f3721,f1113]) ).
fof(f3721,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl42_164
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1345,f2028]) ).
fof(f1345,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl42_164 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f1343,plain,
( spl42_164
<=> h4(op1(e10,e13)) = op2(h4(e10),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f3697,plain,
( ~ spl42_285
| ~ spl42_202 ),
inference(avatar_split_clause,[],[f3696,f1524,f2016]) ).
fof(f3696,plain,
( e23 != op2(e21,e23)
| ~ spl42_202 ),
inference(forward_demodulation,[],[f572,f1526]) ).
fof(f3692,plain,
( ~ spl42_67
| ~ spl42_86 ),
inference(avatar_contradiction_clause,[],[f3691]) ).
fof(f3691,plain,
( $false
| ~ spl42_67
| ~ spl42_86 ),
inference(subsumption_resolution,[],[f3690,f111]) ).
fof(f3690,plain,
( e21 = e22
| ~ spl42_67
| ~ spl42_86 ),
inference(forward_demodulation,[],[f980,f893]) ).
fof(f980,plain,
( e22 = op2(e23,e23)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f979,plain,
( spl42_86
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f3670,plain,
( ~ spl42_285
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f3669,f1448,f2016]) ).
fof(f3669,plain,
( e23 != op2(e21,e23)
| ~ spl42_188 ),
inference(forward_demodulation,[],[f541,f1450]) ).
fof(f541,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3652,plain,
( ~ spl42_182
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f3117,f1839,f1417]) ).
fof(f1417,plain,
( spl42_182
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_182])]) ).
fof(f3117,plain,
( e11 != op1(e11,e12)
| ~ spl42_259 ),
inference(forward_demodulation,[],[f133,f1840]) ).
fof(f3632,plain,
( ~ spl42_114
| ~ spl42_251
| spl42_269 ),
inference(avatar_contradiction_clause,[],[f3631]) ).
fof(f3631,plain,
( $false
| ~ spl42_114
| ~ spl42_251
| spl42_269 ),
inference(subsumption_resolution,[],[f3630,f1904]) ).
fof(f1904,plain,
( e12 != e13
| spl42_269 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1903,plain,
( spl42_269
<=> e12 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f3630,plain,
( e12 = e13
| ~ spl42_114
| ~ spl42_251 ),
inference(forward_demodulation,[],[f1109,f1776]) ).
fof(f1109,plain,
( e13 = op1(e10,e12)
| ~ spl42_114 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1107,plain,
( spl42_114
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).
fof(f3627,plain,
( ~ spl42_32
| ~ spl42_96
| ~ spl42_149
| spl42_173
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f3626]) ).
fof(f3626,plain,
( $false
| ~ spl42_32
| ~ spl42_96
| ~ spl42_149
| spl42_173
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f3625,f745]) ).
fof(f3625,plain,
( e20 != op2(e20,e21)
| ~ spl42_96
| ~ spl42_149
| spl42_173
| ~ spl42_286 ),
inference(forward_demodulation,[],[f3624,f2028]) ).
fof(f3624,plain,
( op2(e20,e21) != h4(e10)
| ~ spl42_96
| ~ spl42_149
| spl42_173
| ~ spl42_286 ),
inference(forward_demodulation,[],[f3623,f1024]) ).
fof(f3623,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl42_149
| spl42_173
| ~ spl42_286 ),
inference(forward_demodulation,[],[f3622,f2028]) ).
fof(f3622,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl42_149
| spl42_173 ),
inference(forward_demodulation,[],[f1381,f1266]) ).
fof(f1381,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl42_173 ),
inference(avatar_component_clause,[],[f1379]) ).
fof(f1379,plain,
( spl42_173
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).
fof(f3608,plain,
( ~ spl42_96
| ~ spl42_147
| ~ spl42_321 ),
inference(avatar_contradiction_clause,[],[f3607]) ).
fof(f3607,plain,
( $false
| ~ spl42_96
| ~ spl42_147
| ~ spl42_321 ),
inference(subsumption_resolution,[],[f3606,f533]) ).
fof(f3606,plain,
( e10 = e11
| ~ spl42_96
| ~ spl42_147
| ~ spl42_321 ),
inference(forward_demodulation,[],[f3602,f1258]) ).
fof(f3602,plain,
( e10 = op1(e10,e10)
| ~ spl42_96
| ~ spl42_321 ),
inference(backward_demodulation,[],[f2311,f1024]) ).
fof(f2311,plain,
( e10 = op1(e10,op1(e10,e11))
| ~ spl42_321 ),
inference(avatar_component_clause,[],[f2309]) ).
fof(f2309,plain,
( spl42_321
<=> e10 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_321])]) ).
fof(f3591,plain,
( ~ spl42_111
| ~ spl42_147 ),
inference(avatar_split_clause,[],[f3590,f1256,f1093]) ).
fof(f3590,plain,
( e11 != op1(e10,e11)
| ~ spl42_147 ),
inference(forward_demodulation,[],[f125,f1258]) ).
fof(f125,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3566,plain,
( ~ spl42_192
| ~ spl42_251 ),
inference(avatar_contradiction_clause,[],[f3565]) ).
fof(f3565,plain,
( $false
| ~ spl42_192
| ~ spl42_251 ),
inference(subsumption_resolution,[],[f3564,f1776]) ).
fof(f3564,plain,
( e12 != op1(e10,e12)
| ~ spl42_192 ),
inference(forward_demodulation,[],[f136,f1472]) ).
fof(f1472,plain,
( e12 = op1(e11,e12)
| ~ spl42_192 ),
inference(avatar_component_clause,[],[f1470]) ).
fof(f1470,plain,
( spl42_192
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f136,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3524,plain,
( ~ spl42_188
| ~ spl42_199
| ~ spl42_324 ),
inference(avatar_contradiction_clause,[],[f3523]) ).
fof(f3523,plain,
( $false
| ~ spl42_188
| ~ spl42_199
| ~ spl42_324 ),
inference(subsumption_resolution,[],[f3522,f114]) ).
fof(f3522,plain,
( e21 = e23
| ~ spl42_188
| ~ spl42_199
| ~ spl42_324 ),
inference(forward_demodulation,[],[f3521,f1450]) ).
fof(f3521,plain,
( e21 = op2(e21,e22)
| ~ spl42_199
| ~ spl42_324 ),
inference(forward_demodulation,[],[f2327,f1508]) ).
fof(f2327,plain,
( e21 = op2(e21,op2(e21,e23))
| ~ spl42_324 ),
inference(avatar_component_clause,[],[f2325]) ).
fof(f2325,plain,
( spl42_324
<=> e21 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_324])]) ).
fof(f3520,plain,
( ~ spl42_251
| ~ spl42_224 ),
inference(avatar_split_clause,[],[f3519,f1651,f1774]) ).
fof(f1651,plain,
( spl42_224
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_224])]) ).
fof(f3519,plain,
( e12 != op1(e10,e12)
| ~ spl42_224 ),
inference(forward_demodulation,[],[f127,f1653]) ).
fof(f1653,plain,
( e12 = op1(e10,e13)
| ~ spl42_224 ),
inference(avatar_component_clause,[],[f1651]) ).
fof(f127,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3507,plain,
( ~ spl42_28
| ~ spl42_210 ),
inference(avatar_split_clause,[],[f3506,f1569,f726]) ).
fof(f1569,plain,
( spl42_210
<=> e22 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f3506,plain,
( e22 != op2(e22,e20)
| ~ spl42_210 ),
inference(forward_demodulation,[],[f2340,f1571]) ).
fof(f1571,plain,
( e22 = h3(e11)
| ~ spl42_210 ),
inference(avatar_component_clause,[],[f1569]) ).
fof(f2340,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[],[f553,f218]) ).
fof(f553,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3487,plain,
( spl42_325
| ~ spl42_26
| ~ spl42_210 ),
inference(avatar_split_clause,[],[f3486,f1569,f718,f2335]) ).
fof(f718,plain,
( spl42_26
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f3486,plain,
( e22 = h3(e12)
| ~ spl42_26
| ~ spl42_210 ),
inference(forward_demodulation,[],[f3483,f720]) ).
fof(f720,plain,
( e22 = op2(e22,e22)
| ~ spl42_26 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f3483,plain,
( op2(e22,e22) = h3(e12)
| ~ spl42_210 ),
inference(backward_demodulation,[],[f1962,f1571]) ).
fof(f3481,plain,
( ~ spl42_182
| ~ spl42_192 ),
inference(avatar_contradiction_clause,[],[f3480]) ).
fof(f3480,plain,
( $false
| ~ spl42_182
| ~ spl42_192 ),
inference(subsumption_resolution,[],[f3479,f530]) ).
fof(f3479,plain,
( e11 = e12
| ~ spl42_182
| ~ spl42_192 ),
inference(forward_demodulation,[],[f1419,f1472]) ).
fof(f1419,plain,
( e11 = op1(e11,e12)
| ~ spl42_182 ),
inference(avatar_component_clause,[],[f1417]) ).
fof(f3466,plain,
( ~ spl42_202
| spl42_257
| ~ spl42_323 ),
inference(avatar_contradiction_clause,[],[f3465]) ).
fof(f3465,plain,
( $false
| ~ spl42_202
| spl42_257
| ~ spl42_323 ),
inference(subsumption_resolution,[],[f3464,f1820]) ).
fof(f3464,plain,
( e20 = e23
| ~ spl42_202
| ~ spl42_323 ),
inference(forward_demodulation,[],[f3463,f1526]) ).
fof(f3463,plain,
( e20 = op2(e20,e23)
| ~ spl42_202
| ~ spl42_323 ),
inference(forward_demodulation,[],[f2323,f1526]) ).
fof(f2323,plain,
( e20 = op2(e20,op2(e20,e23))
| ~ spl42_323 ),
inference(avatar_component_clause,[],[f2321]) ).
fof(f2321,plain,
( spl42_323
<=> e20 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_323])]) ).
fof(f3454,plain,
( ~ spl42_253
| ~ spl42_277 ),
inference(avatar_contradiction_clause,[],[f3453]) ).
fof(f3453,plain,
( $false
| ~ spl42_253
| ~ spl42_277 ),
inference(subsumption_resolution,[],[f3452,f114]) ).
fof(f3452,plain,
( e21 = e23
| ~ spl42_253
| ~ spl42_277 ),
inference(forward_demodulation,[],[f1796,f1954]) ).
fof(f3448,plain,
( spl42_210
| ~ spl42_26 ),
inference(avatar_split_clause,[],[f3447,f718,f1569]) ).
fof(f3447,plain,
( e22 = h3(e11)
| ~ spl42_26 ),
inference(forward_demodulation,[],[f218,f720]) ).
fof(f3439,plain,
( ~ spl42_219
| ~ spl42_319 ),
inference(avatar_contradiction_clause,[],[f3438]) ).
fof(f3438,plain,
( $false
| ~ spl42_219
| ~ spl42_319 ),
inference(subsumption_resolution,[],[f3437,f530]) ).
fof(f3437,plain,
( e11 = e12
| ~ spl42_219
| ~ spl42_319 ),
inference(forward_demodulation,[],[f3436,f1622]) ).
fof(f1622,plain,
( e11 = op1(e12,e11)
| ~ spl42_219 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1620,plain,
( spl42_219
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).
fof(f3436,plain,
( e12 = op1(e12,e11)
| ~ spl42_219
| ~ spl42_319 ),
inference(forward_demodulation,[],[f2303,f1622]) ).
fof(f2303,plain,
( e12 = op1(e12,op1(e12,e11))
| ~ spl42_319 ),
inference(avatar_component_clause,[],[f2301]) ).
fof(f2301,plain,
( spl42_319
<=> e12 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_319])]) ).
fof(f3435,plain,
( ~ spl42_209
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3434,f1889,f1565]) ).
fof(f1565,plain,
( spl42_209
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f3434,plain,
( e22 != op2(e23,e22)
| ~ spl42_267 ),
inference(forward_demodulation,[],[f555,f1891]) ).
fof(f555,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3404,plain,
( ~ spl42_182
| ~ spl42_37 ),
inference(avatar_split_clause,[],[f3403,f765,f1417]) ).
fof(f3403,plain,
( e11 != op1(e11,e12)
| ~ spl42_37 ),
inference(forward_demodulation,[],[f145,f766]) ).
fof(f145,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3399,plain,
( spl42_211
| ~ spl42_262
| ~ spl42_281 ),
inference(avatar_contradiction_clause,[],[f3398]) ).
fof(f3398,plain,
( $false
| spl42_211
| ~ spl42_262
| ~ spl42_281 ),
inference(subsumption_resolution,[],[f3397,f1576]) ).
fof(f3397,plain,
( e10 = e13
| ~ spl42_262
| ~ spl42_281 ),
inference(forward_demodulation,[],[f1864,f1988]) ).
fof(f1864,plain,
( e10 = op1(e13,e10)
| ~ spl42_262 ),
inference(avatar_component_clause,[],[f1862]) ).
fof(f1862,plain,
( spl42_262
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f3371,plain,
( ~ spl42_154
| spl42_225 ),
inference(avatar_contradiction_clause,[],[f3370]) ).
fof(f3370,plain,
( $false
| ~ spl42_154
| spl42_225 ),
inference(subsumption_resolution,[],[f3369,f1656]) ).
fof(f3369,plain,
( e10 = e12
| ~ spl42_154 ),
inference(forward_demodulation,[],[f1290,f1301]) ).
fof(f1301,plain,
e10 = op1(e12,e13),
inference(backward_demodulation,[],[f109,f108]) ).
fof(f108,plain,
e12 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e11 = op1(e13,e13)
& e10 = op1(op1(e13,op1(e13,e13)),e13)
& e12 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f109,plain,
e10 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1290,plain,
( e12 = op1(e12,e13)
| ~ spl42_154 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl42_154
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f3354,plain,
( ~ spl42_227
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f3353,f1027,f1666]) ).
fof(f1666,plain,
( spl42_227
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_227])]) ).
fof(f3353,plain,
( e11 != op1(e10,e13)
| ~ spl42_97 ),
inference(forward_demodulation,[],[f132,f1028]) ).
fof(f132,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3349,plain,
( spl42_126
| ~ spl42_259
| ~ spl42_291 ),
inference(avatar_contradiction_clause,[],[f3348]) ).
fof(f3348,plain,
( $false
| spl42_126
| ~ spl42_259
| ~ spl42_291 ),
inference(subsumption_resolution,[],[f3100,f1161]) ).
fof(f1161,plain,
( e12 != op1(e12,e11)
| spl42_126 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f3100,plain,
( e12 = op1(e12,e11)
| ~ spl42_259
| ~ spl42_291 ),
inference(backward_demodulation,[],[f2082,f1840]) ).
fof(f2082,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ spl42_291 ),
inference(avatar_component_clause,[],[f2080]) ).
fof(f3331,plain,
( ~ spl42_219
| ~ spl42_37 ),
inference(avatar_split_clause,[],[f3330,f765,f1620]) ).
fof(f3330,plain,
( e11 != op1(e12,e11)
| ~ spl42_37 ),
inference(forward_demodulation,[],[f159,f766]) ).
fof(f3325,plain,
( ~ spl42_115
| ~ spl42_116 ),
inference(avatar_split_clause,[],[f3324,f1115,f1111]) ).
fof(f1115,plain,
( spl42_116
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).
fof(f3324,plain,
( e13 != op1(e10,e13)
| ~ spl42_116 ),
inference(forward_demodulation,[],[f148,f1117]) ).
fof(f1117,plain,
( e13 = op1(e10,e11)
| ~ spl42_116 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f148,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3315,plain,
( ~ spl42_32
| spl42_77
| ~ spl42_132 ),
inference(avatar_contradiction_clause,[],[f3314]) ).
fof(f3314,plain,
( $false
| ~ spl42_32
| spl42_77
| ~ spl42_132 ),
inference(subsumption_resolution,[],[f3313,f745]) ).
fof(f3313,plain,
( e20 != op2(e20,e21)
| spl42_77
| ~ spl42_132 ),
inference(forward_demodulation,[],[f939,f1189]) ).
fof(f1189,plain,
( e21 = op2(e20,e22)
| ~ spl42_132 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1187,plain,
( spl42_132
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_132])]) ).
fof(f939,plain,
( e20 != op2(e20,op2(e20,e22))
| spl42_77 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f938,plain,
( spl42_77
<=> e20 = op2(e20,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).
fof(f3311,plain,
( ~ spl42_219
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f3310,f1839,f1620]) ).
fof(f3310,plain,
( e11 != op1(e12,e11)
| ~ spl42_259 ),
inference(forward_demodulation,[],[f147,f1840]) ).
fof(f3272,plain,
( ~ spl42_303
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3271,f1889,f2182]) ).
fof(f2182,plain,
( spl42_303
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).
fof(f3271,plain,
( e22 != h2(e11)
| ~ spl42_267 ),
inference(forward_demodulation,[],[f2057,f1891]) ).
fof(f2057,plain,
op2(e23,e21) != h2(e11),
inference(backward_demodulation,[],[f568,f401]) ).
fof(f568,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3270,plain,
( ~ spl42_68
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f3095,f1265,f895]) ).
fof(f895,plain,
( spl42_68
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).
fof(f3095,plain,
( e21 != op2(e23,e22)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f2449,f1266]) ).
fof(f2449,plain,
op2(e23,e22) != h4(e11),
inference(backward_demodulation,[],[f571,f426]) ).
fof(f571,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3269,plain,
( ~ spl42_208
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f3107,f2027,f1559]) ).
fof(f1559,plain,
( spl42_208
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f3107,plain,
( e20 != op2(e20,e23)
| ~ spl42_286 ),
inference(forward_demodulation,[],[f2483,f2028]) ).
fof(f2483,plain,
op2(e20,e23) != h4(e10),
inference(backward_demodulation,[],[f562,f2479]) ).
fof(f2479,plain,
op2(e22,e23) = h4(e10),
inference(forward_demodulation,[],[f2478,f2444]) ).
fof(f2444,plain,
e22 = op2(e23,h4(e11)),
inference(backward_demodulation,[],[f214,f426]) ).
fof(f214,plain,
e22 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(e23,e23)
& e22 = op2(e23,op2(e23,e23))
& e20 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f2478,plain,
h4(e10) = op2(op2(e23,h4(e11)),e23),
inference(forward_demodulation,[],[f425,f426]) ).
fof(f425,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f562,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3268,plain,
( ~ spl42_297
| spl42_21 ),
inference(avatar_split_clause,[],[f3267,f696,f2122]) ).
fof(f696,plain,
( spl42_21
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f3267,plain,
( e20 != h2(e11)
| spl42_21 ),
inference(backward_demodulation,[],[f698,f401]) ).
fof(f698,plain,
( e20 != op2(e21,e21)
| spl42_21 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f3266,plain,
( spl42_187
| ~ spl42_138
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3019,f1889,f1216,f1444]) ).
fof(f1216,plain,
( spl42_138
<=> e23 = op2(e23,op2(e23,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).
fof(f3019,plain,
( e23 = op2(e23,e22)
| ~ spl42_138
| ~ spl42_267 ),
inference(backward_demodulation,[],[f1218,f1891]) ).
fof(f1218,plain,
( e23 = op2(e23,op2(e23,e21))
| ~ spl42_138 ),
inference(avatar_component_clause,[],[f1216]) ).
fof(f3260,plain,
( ~ spl42_89
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f3259,f996,f992]) ).
fof(f996,plain,
( spl42_90
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f3259,plain,
( e23 != op2(e23,e20)
| ~ spl42_90 ),
inference(forward_demodulation,[],[f537,f998]) ).
fof(f998,plain,
( e23 = op2(e22,e20)
| ~ spl42_90 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f3245,plain,
( ~ spl42_190
| ~ spl42_256 ),
inference(avatar_contradiction_clause,[],[f3244]) ).
fof(f3244,plain,
( $false
| ~ spl42_190
| ~ spl42_256 ),
inference(subsumption_resolution,[],[f3243,f1813]) ).
fof(f3243,plain,
( e12 != op1(e13,e11)
| ~ spl42_190 ),
inference(forward_demodulation,[],[f122,f1461]) ).
fof(f1461,plain,
( e12 = op1(e13,e12)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f1459,plain,
( spl42_190
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f122,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3242,plain,
( spl42_247
| ~ spl42_267
| ~ spl42_273 ),
inference(avatar_contradiction_clause,[],[f3241]) ).
fof(f3241,plain,
( $false
| spl42_247
| ~ spl42_267
| ~ spl42_273 ),
inference(subsumption_resolution,[],[f3240,f1753]) ).
fof(f3240,plain,
( e22 = e23
| ~ spl42_267
| ~ spl42_273 ),
inference(forward_demodulation,[],[f1925,f1891]) ).
fof(f1925,plain,
( e23 = op2(e23,e21)
| ~ spl42_273 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1923,plain,
( spl42_273
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).
fof(f3229,plain,
( ~ spl42_202
| ~ spl42_223
| spl42_247 ),
inference(avatar_contradiction_clause,[],[f3228]) ).
fof(f3228,plain,
( $false
| ~ spl42_202
| ~ spl42_223
| spl42_247 ),
inference(subsumption_resolution,[],[f3227,f1753]) ).
fof(f3227,plain,
( e22 = e23
| ~ spl42_202
| ~ spl42_223 ),
inference(forward_demodulation,[],[f1526,f1646]) ).
fof(f1646,plain,
( e22 = op2(e20,e23)
| ~ spl42_223 ),
inference(avatar_component_clause,[],[f1644]) ).
fof(f3221,plain,
( ~ spl42_37
| ~ spl42_140
| ~ spl42_149
| spl42_178
| ~ spl42_289 ),
inference(avatar_contradiction_clause,[],[f3220]) ).
fof(f3220,plain,
( $false
| ~ spl42_37
| ~ spl42_140
| ~ spl42_149
| spl42_178
| ~ spl42_289 ),
inference(subsumption_resolution,[],[f3219,f1226]) ).
fof(f3219,plain,
( e21 != h2(e12)
| ~ spl42_37
| ~ spl42_149
| spl42_178
| ~ spl42_289 ),
inference(forward_demodulation,[],[f3218,f1266]) ).
fof(f3218,plain,
( h2(e12) != h4(e11)
| ~ spl42_37
| ~ spl42_149
| spl42_178
| ~ spl42_289 ),
inference(forward_demodulation,[],[f2988,f766]) ).
fof(f2988,plain,
( h2(e12) != h4(op1(e11,e11))
| ~ spl42_149
| spl42_178
| ~ spl42_289 ),
inference(forward_demodulation,[],[f2983,f2669]) ).
fof(f2669,plain,
( op2(e21,e21) = h2(e12)
| ~ spl42_289 ),
inference(backward_demodulation,[],[f2058,f2065]) ).
fof(f2065,plain,
( e21 = h2(e11)
| ~ spl42_289 ),
inference(avatar_component_clause,[],[f2063]) ).
fof(f2063,plain,
( spl42_289
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f2983,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| ~ spl42_149
| spl42_178 ),
inference(backward_demodulation,[],[f1401,f1266]) ).
fof(f1401,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl42_178 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1399,plain,
( spl42_178
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f3182,plain,
( ~ spl42_66
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f3181,f1265,f887]) ).
fof(f887,plain,
( spl42_66
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_66])]) ).
fof(f3181,plain,
( e21 != op2(e23,e20)
| ~ spl42_149 ),
inference(forward_demodulation,[],[f2445,f1266]) ).
fof(f2445,plain,
op2(e23,e20) != h4(e11),
inference(backward_demodulation,[],[f547,f426]) ).
fof(f547,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3169,plain,
( ~ spl42_207
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f3168,f2027,f1553]) ).
fof(f1553,plain,
( spl42_207
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f3168,plain,
( e20 != op2(e22,e20)
| ~ spl42_286 ),
inference(forward_demodulation,[],[f2484,f2028]) ).
fof(f2484,plain,
op2(e22,e20) != h4(e10),
inference(backward_demodulation,[],[f574,f2479]) ).
fof(f574,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3126,plain,
( ~ spl42_278
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f2951,f2027,f1964]) ).
fof(f1964,plain,
( spl42_278
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_278])]) ).
fof(f2951,plain,
( e20 != op2(e22,e21)
| ~ spl42_286 ),
inference(forward_demodulation,[],[f2482,f2028]) ).
fof(f2482,plain,
op2(e22,e21) != h4(e10),
inference(backward_demodulation,[],[f576,f2479]) ).
fof(f576,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3120,plain,
( ~ spl42_25
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3119,f1889,f714]) ).
fof(f714,plain,
( spl42_25
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_25])]) ).
fof(f3119,plain,
( e22 != op2(e22,e21)
| ~ spl42_267 ),
inference(forward_demodulation,[],[f560,f1891]) ).
fof(f560,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3112,plain,
( ~ spl42_27
| ~ spl42_145 ),
inference(avatar_contradiction_clause,[],[f3111]) ).
fof(f3111,plain,
( $false
| ~ spl42_27
| ~ spl42_145 ),
inference(subsumption_resolution,[],[f3110,f112]) ).
fof(f3110,plain,
( e20 = e22
| ~ spl42_27
| ~ spl42_145 ),
inference(forward_demodulation,[],[f724,f1248]) ).
fof(f724,plain,
( e22 = op2(e22,e23)
| ~ spl42_27 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl42_27
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_27])]) ).
fof(f3106,plain,
( spl42_191
| ~ spl42_256
| ~ spl42_318 ),
inference(avatar_contradiction_clause,[],[f3105]) ).
fof(f3105,plain,
( $false
| spl42_191
| ~ spl42_256
| ~ spl42_318 ),
inference(subsumption_resolution,[],[f2994,f1466]) ).
fof(f1466,plain,
( e13 != op1(e13,e12)
| spl42_191 ),
inference(avatar_component_clause,[],[f1465]) ).
fof(f2994,plain,
( e13 = op1(e13,e12)
| ~ spl42_256
| ~ spl42_318 ),
inference(backward_demodulation,[],[f2299,f1813]) ).
fof(f2299,plain,
( e13 = op1(e13,op1(e13,e11))
| ~ spl42_318 ),
inference(avatar_component_clause,[],[f2297]) ).
fof(f2297,plain,
( spl42_318
<=> e13 = op1(e13,op1(e13,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_318])]) ).
fof(f3093,plain,
( ~ spl42_95
| spl42_225
| ~ spl42_256 ),
inference(avatar_contradiction_clause,[],[f3092]) ).
fof(f3092,plain,
( $false
| ~ spl42_95
| spl42_225
| ~ spl42_256 ),
inference(subsumption_resolution,[],[f3091,f1656]) ).
fof(f3091,plain,
( e10 = e12
| ~ spl42_95
| ~ spl42_256 ),
inference(forward_demodulation,[],[f1020,f1813]) ).
fof(f1020,plain,
( e10 = op1(e13,e11)
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1018,plain,
( spl42_95
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f3083,plain,
( ~ spl42_96
| ~ spl42_134 ),
inference(avatar_split_clause,[],[f3082,f1196,f1022]) ).
fof(f1196,plain,
( spl42_134
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).
fof(f3082,plain,
( e10 != op1(e10,e11)
| ~ spl42_134 ),
inference(forward_demodulation,[],[f157,f1198]) ).
fof(f1198,plain,
( e10 = op1(e10,e12)
| ~ spl42_134 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f157,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3078,plain,
( ~ spl42_30
| ~ spl42_267 ),
inference(avatar_split_clause,[],[f3077,f1889,f735]) ).
fof(f735,plain,
( spl42_30
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f3077,plain,
( e22 != op2(e20,e21)
| ~ spl42_267 ),
inference(forward_demodulation,[],[f581,f1891]) ).
fof(f581,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3076,plain,
( ~ spl42_31
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2853,f2063,f739]) ).
fof(f2853,plain,
( e21 != op2(e20,e21)
| ~ spl42_289 ),
inference(forward_demodulation,[],[f2496,f2065]) ).
fof(f2496,plain,
op2(e20,e21) != h2(e11),
inference(forward_demodulation,[],[f539,f401]) ).
fof(f539,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3074,plain,
( ~ spl42_296
| ~ spl42_256 ),
inference(avatar_split_clause,[],[f3016,f1811,f2104]) ).
fof(f2104,plain,
( spl42_296
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_296])]) ).
fof(f3016,plain,
( e12 != op1(e10,e11)
| ~ spl42_256 ),
inference(forward_demodulation,[],[f130,f1813]) ).
fof(f130,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3070,plain,
( spl42_28
| ~ spl42_286
| ~ spl42_322 ),
inference(avatar_contradiction_clause,[],[f3069]) ).
fof(f3069,plain,
( $false
| spl42_28
| ~ spl42_286
| ~ spl42_322 ),
inference(subsumption_resolution,[],[f2818,f727]) ).
fof(f727,plain,
( e22 != op2(e22,e20)
| spl42_28 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f2818,plain,
( e22 = op2(e22,e20)
| ~ spl42_286
| ~ spl42_322 ),
inference(backward_demodulation,[],[f2605,f2028]) ).
fof(f2605,plain,
( e22 = op2(e22,h4(e10))
| ~ spl42_322 ),
inference(forward_demodulation,[],[f2319,f2479]) ).
fof(f2319,plain,
( e22 = op2(e22,op2(e22,e23))
| ~ spl42_322 ),
inference(avatar_component_clause,[],[f2317]) ).
fof(f2317,plain,
( spl42_322
<=> e22 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_322])]) ).
fof(f3029,plain,
( ~ spl42_135
| ~ spl42_206
| spl42_211 ),
inference(avatar_contradiction_clause,[],[f3028]) ).
fof(f3028,plain,
( $false
| ~ spl42_135
| ~ spl42_206
| spl42_211 ),
inference(subsumption_resolution,[],[f3027,f1576]) ).
fof(f3027,plain,
( e10 = e13
| ~ spl42_135
| ~ spl42_206 ),
inference(forward_demodulation,[],[f1550,f1202]) ).
fof(f2997,plain,
( ~ spl42_184
| ~ spl42_256 ),
inference(avatar_split_clause,[],[f2996,f1811,f1427]) ).
fof(f1427,plain,
( spl42_184
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f2996,plain,
( e12 != op1(e11,e11)
| ~ spl42_256 ),
inference(backward_demodulation,[],[f156,f1813]) ).
fof(f156,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2989,plain,
( spl42_267
| ~ spl42_149 ),
inference(avatar_split_clause,[],[f2985,f1265,f1889]) ).
fof(f2985,plain,
( e22 = op2(e23,e21)
| ~ spl42_149 ),
inference(backward_demodulation,[],[f2444,f1266]) ).
fof(f2954,plain,
( ~ spl42_210
| spl42_26 ),
inference(avatar_split_clause,[],[f2953,f718,f1569]) ).
fof(f2953,plain,
( e22 != h3(e11)
| spl42_26 ),
inference(forward_demodulation,[],[f719,f218]) ).
fof(f719,plain,
( e22 != op2(e22,e22)
| spl42_26 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f2933,plain,
( ~ spl42_284
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f2932,f2027,f2012]) ).
fof(f2012,plain,
( spl42_284
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).
fof(f2932,plain,
( e20 != op2(e21,e23)
| ~ spl42_286 ),
inference(forward_demodulation,[],[f2480,f2028]) ).
fof(f2480,plain,
op2(e21,e23) != h4(e10),
inference(backward_demodulation,[],[f554,f2479]) ).
fof(f554,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2901,plain,
( spl42_257
| ~ spl42_258
| ~ spl42_286 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2900,plain,
( $false
| spl42_257
| ~ spl42_258
| ~ spl42_286 ),
inference(subsumption_resolution,[],[f2899,f1820]) ).
fof(f2899,plain,
( e20 = e23
| ~ spl42_258
| ~ spl42_286 ),
inference(forward_demodulation,[],[f1835,f2028]) ).
fof(f1835,plain,
( e23 = h4(e10)
| ~ spl42_258 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1834,plain,
( spl42_258
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f2893,plain,
( ~ spl42_117
| ~ spl42_187 ),
inference(avatar_split_clause,[],[f2892,f1444,f1120]) ).
fof(f2892,plain,
( e23 != h3(e11)
| ~ spl42_187 ),
inference(forward_demodulation,[],[f1529,f1446]) ).
fof(f1529,plain,
op2(e23,e22) != h3(e11),
inference(backward_demodulation,[],[f567,f218]) ).
fof(f567,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2882,plain,
( ~ spl42_221
| ~ spl42_218 ),
inference(avatar_split_clause,[],[f2881,f1616,f1635]) ).
fof(f1635,plain,
( spl42_221
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_221])]) ).
fof(f2881,plain,
( e13 != op1(e13,e11)
| ~ spl42_218 ),
inference(forward_demodulation,[],[f164,f1618]) ).
fof(f2879,plain,
( ~ spl42_131
| ~ spl42_32 ),
inference(avatar_split_clause,[],[f2878,f743,f1183]) ).
fof(f2878,plain,
( e20 != op2(e20,e22)
| ~ spl42_32 ),
inference(forward_demodulation,[],[f564,f745]) ).
fof(f564,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2875,plain,
( ~ spl42_153
| ~ spl42_155 ),
inference(avatar_contradiction_clause,[],[f2874]) ).
fof(f2874,plain,
( $false
| ~ spl42_153
| ~ spl42_155 ),
inference(subsumption_resolution,[],[f2873,f1294]) ).
fof(f2873,plain,
( e12 != op1(e12,e10)
| ~ spl42_153 ),
inference(forward_demodulation,[],[f150,f1286]) ).
fof(f150,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2867,plain,
( ~ spl42_88
| ~ spl42_183
| spl42_257 ),
inference(avatar_contradiction_clause,[],[f2866]) ).
fof(f2866,plain,
( $false
| ~ spl42_88
| ~ spl42_183
| spl42_257 ),
inference(subsumption_resolution,[],[f2865,f1820]) ).
fof(f2865,plain,
( e20 = e23
| ~ spl42_88
| ~ spl42_183 ),
inference(forward_demodulation,[],[f990,f1424]) ).
fof(f2831,plain,
( ~ spl42_113
| ~ spl42_281 ),
inference(avatar_split_clause,[],[f2830,f1986,f1103]) ).
fof(f1103,plain,
( spl42_113
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).
fof(f2830,plain,
( op1(e10,e10) != e13
| ~ spl42_281 ),
inference(forward_demodulation,[],[f153,f1988]) ).
fof(f153,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2827,plain,
( spl42_140
| ~ spl42_24
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2826,f2063,f709,f1224]) ).
fof(f709,plain,
( spl42_24
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f2826,plain,
( e21 = h2(e12)
| ~ spl42_24
| ~ spl42_289 ),
inference(forward_demodulation,[],[f710,f2669]) ).
fof(f710,plain,
( e21 = op2(e21,e21)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f2821,plain,
( ~ spl42_288
| ~ spl42_286 ),
inference(avatar_split_clause,[],[f2817,f2027,f2039]) ).
fof(f2039,plain,
( spl42_288
<=> e20 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f2817,plain,
( e20 != h3(e11)
| ~ spl42_286 ),
inference(backward_demodulation,[],[f2515,f2028]) ).
fof(f2515,plain,
h3(e11) != h4(e10),
inference(forward_demodulation,[],[f2514,f218]) ).
fof(f2514,plain,
op2(e22,e22) != h4(e10),
inference(forward_demodulation,[],[f543,f2479]) ).
fof(f543,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2805,plain,
( ~ spl42_253
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2804,f2063,f1794]) ).
fof(f2804,plain,
( e21 != op2(e22,e21)
| ~ spl42_289 ),
inference(forward_demodulation,[],[f2425,f2065]) ).
fof(f2802,plain,
( ~ spl42_203
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f2801,f1027,f1534]) ).
fof(f1534,plain,
( spl42_203
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f2801,plain,
( e11 != op1(e13,e12)
| ~ spl42_97 ),
inference(forward_demodulation,[],[f124,f1028]) ).
fof(f124,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2792,plain,
( ~ spl42_156
| spl42_225
| ~ spl42_291 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2791,plain,
( $false
| ~ spl42_156
| spl42_225
| ~ spl42_291 ),
inference(subsumption_resolution,[],[f2790,f1656]) ).
fof(f2790,plain,
( e10 = e12
| ~ spl42_156
| ~ spl42_291 ),
inference(forward_demodulation,[],[f2789,f1301]) ).
fof(f2789,plain,
( e12 = op1(e12,e13)
| ~ spl42_156
| ~ spl42_291 ),
inference(forward_demodulation,[],[f2082,f1298]) ).
fof(f1298,plain,
( e13 = op1(e12,e12)
| ~ spl42_156 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f2762,plain,
( spl42_247
| ~ spl42_28
| ~ spl42_90 ),
inference(avatar_split_clause,[],[f2761,f996,f726,f1751]) ).
fof(f2761,plain,
( e22 = e23
| ~ spl42_28
| ~ spl42_90 ),
inference(forward_demodulation,[],[f998,f728]) ).
fof(f2760,plain,
( spl42_149
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f2759,f891,f1265]) ).
fof(f2759,plain,
( e21 = h4(e11)
| ~ spl42_67 ),
inference(forward_demodulation,[],[f893,f426]) ).
fof(f2752,plain,
( ~ spl42_275
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f2748,f1422,f1941]) ).
fof(f2748,plain,
( e20 != h1(e11)
| ~ spl42_183 ),
inference(backward_demodulation,[],[f2118,f1424]) ).
fof(f2118,plain,
op2(e21,e20) != h1(e11),
inference(forward_demodulation,[],[f545,f405]) ).
fof(f545,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2719,plain,
( ~ spl42_262
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f2715,f1260,f1862]) ).
fof(f1260,plain,
( spl42_148
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_148])]) ).
fof(f2715,plain,
( e10 != op1(e13,e10)
| ~ spl42_148 ),
inference(backward_demodulation,[],[f153,f1262]) ).
fof(f1262,plain,
( e10 = op1(e10,e10)
| ~ spl42_148 ),
inference(avatar_component_clause,[],[f1260]) ).
fof(f2688,plain,
( ~ spl42_223
| ~ spl42_99 ),
inference(avatar_split_clause,[],[f2679,f1036,f1644]) ).
fof(f2679,plain,
( e22 != op2(e20,e23)
| ~ spl42_99 ),
inference(backward_demodulation,[],[f579,f1038]) ).
fof(f579,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2687,plain,
( ~ spl42_77
| ~ spl42_99 ),
inference(avatar_contradiction_clause,[],[f2686]) ).
fof(f2686,plain,
( $false
| ~ spl42_77
| ~ spl42_99 ),
inference(subsumption_resolution,[],[f2685,f112]) ).
fof(f2685,plain,
( e20 = e22
| ~ spl42_77
| ~ spl42_99 ),
inference(forward_demodulation,[],[f2675,f1038]) ).
fof(f2675,plain,
( e20 = op2(e20,e22)
| ~ spl42_77
| ~ spl42_99 ),
inference(backward_demodulation,[],[f940,f1038]) ).
fof(f940,plain,
( e20 = op2(e20,op2(e20,e22))
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f938]) ).
fof(f2681,plain,
( ~ spl42_197
| ~ spl42_99 ),
inference(avatar_split_clause,[],[f2677,f1036,f1498]) ).
fof(f1498,plain,
( spl42_197
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f2677,plain,
( e22 != op2(e21,e22)
| ~ spl42_99 ),
inference(backward_demodulation,[],[f565,f1038]) ).
fof(f565,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2673,plain,
( spl42_24
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2667,f2063,f709]) ).
fof(f2667,plain,
( e21 = op2(e21,e21)
| ~ spl42_289 ),
inference(backward_demodulation,[],[f401,f2065]) ).
fof(f2672,plain,
( ~ spl42_194
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2670,f2063,f1483]) ).
fof(f2670,plain,
( e21 != op2(e21,e22)
| ~ spl42_289 ),
inference(backward_demodulation,[],[f2329,f2065]) ).
fof(f2329,plain,
op2(e21,e22) != h2(e11),
inference(forward_demodulation,[],[f538,f401]) ).
fof(f538,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2671,plain,
( ~ spl42_193
| ~ spl42_289 ),
inference(avatar_split_clause,[],[f2668,f2063,f1477]) ).
fof(f2668,plain,
( e21 != op2(e21,e20)
| ~ spl42_289 ),
inference(backward_demodulation,[],[f2055,f2065]) ).
fof(f2666,plain,
( ~ spl42_192
| ~ spl42_108 ),
inference(avatar_split_clause,[],[f2665,f1080,f1470]) ).
fof(f2665,plain,
( e12 != op1(e11,e12)
| ~ spl42_108 ),
inference(backward_demodulation,[],[f135,f1082]) ).
fof(f135,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2663,plain,
( ~ spl42_109
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f2657,f969,f1084]) ).
fof(f1084,plain,
( spl42_109
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).
fof(f2657,plain,
( e13 != op1(e11,e13)
| ~ spl42_84 ),
inference(backward_demodulation,[],[f138,f970]) ).
fof(f138,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2616,plain,
( ~ spl42_149
| ~ spl42_249 ),
inference(avatar_split_clause,[],[f2611,f1764,f1265]) ).
fof(f1764,plain,
( spl42_249
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_249])]) ).
fof(f2611,plain,
( e21 != h4(e11)
| ~ spl42_249 ),
inference(backward_demodulation,[],[f2450,f1766]) ).
fof(f1766,plain,
( e21 = op2(e21,e23)
| ~ spl42_249 ),
inference(avatar_component_clause,[],[f1764]) ).
fof(f2450,plain,
op2(e21,e23) != h4(e11),
inference(backward_demodulation,[],[f573,f426]) ).
fof(f573,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2609,plain,
( spl42_286
| ~ spl42_145 ),
inference(avatar_split_clause,[],[f2608,f1246,f2027]) ).
fof(f2608,plain,
( e20 = h4(e10)
| ~ spl42_145 ),
inference(forward_demodulation,[],[f1248,f2479]) ).
fof(f2601,plain,
( ~ spl42_182
| ~ spl42_101 ),
inference(avatar_split_clause,[],[f2598,f1047,f1417]) ).
fof(f2598,plain,
( e11 != op1(e11,e12)
| ~ spl42_101 ),
inference(backward_demodulation,[],[f137,f1049]) ).
fof(f1049,plain,
( e11 = op1(e11,e10)
| ~ spl42_101 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f137,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2584,plain,
( ~ spl42_204
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f2578,f1027,f1538]) ).
fof(f1538,plain,
( spl42_204
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f2578,plain,
( e11 != op1(e13,e11)
| ~ spl42_97 ),
inference(backward_demodulation,[],[f128,f1028]) ).
fof(f128,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2583,plain,
( ~ spl42_107
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f2580,f1027,f1076]) ).
fof(f1076,plain,
( spl42_107
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).
fof(f2580,plain,
( e11 != op1(e11,e13)
| ~ spl42_97 ),
inference(backward_demodulation,[],[f119,f1028]) ).
fof(f119,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2582,plain,
( ~ spl42_205
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f2577,f1027,f1542]) ).
fof(f1542,plain,
( spl42_205
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f2577,plain,
( e11 != op1(e13,e10)
| ~ spl42_97 ),
inference(backward_demodulation,[],[f121,f1028]) ).
fof(f121,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2581,plain,
( spl42_256
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f2579,f1027,f1811]) ).
fof(f2579,plain,
( e12 = op1(e13,e11)
| ~ spl42_97 ),
inference(backward_demodulation,[],[f108,f1028]) ).
fof(f2576,plain,
( ~ spl42_281
| ~ spl42_191 ),
inference(avatar_split_clause,[],[f2568,f1465,f1986]) ).
fof(f2568,plain,
( e13 != op1(e13,e10)
| ~ spl42_191 ),
inference(backward_demodulation,[],[f152,f1467]) ).
fof(f152,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2575,plain,
( ~ spl42_156
| ~ spl42_191 ),
inference(avatar_split_clause,[],[f2570,f1465,f1297]) ).
fof(f2570,plain,
( e13 != op1(e12,e12)
| ~ spl42_191 ),
inference(backward_demodulation,[],[f163,f1467]) ).
fof(f163,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2571,plain,
( ~ spl42_206
| ~ spl42_191 ),
inference(avatar_split_clause,[],[f2567,f1465,f1548]) ).
fof(f2567,plain,
( e13 != op1(e11,e12)
| ~ spl42_191 ),
inference(backward_demodulation,[],[f139,f1467]) ).
fof(f139,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2563,plain,
( ~ spl42_113
| ~ spl42_115 ),
inference(avatar_split_clause,[],[f2555,f1111,f1103]) ).
fof(f2555,plain,
( op1(e10,e10) != e13
| ~ spl42_115 ),
inference(backward_demodulation,[],[f123,f1113]) ).
fof(f123,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2561,plain,
( ~ spl42_73
| ~ spl42_115 ),
inference(avatar_split_clause,[],[f2557,f1111,f918]) ).
fof(f918,plain,
( spl42_73
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).
fof(f2557,plain,
( e13 != op1(e13,e13)
| ~ spl42_115 ),
inference(backward_demodulation,[],[f132,f1113]) ).
fof(f2560,plain,
( ~ spl42_109
| ~ spl42_115 ),
inference(avatar_split_clause,[],[f2558,f1111,f1084]) ).
fof(f2558,plain,
( e13 != op1(e11,e13)
| ~ spl42_115 ),
inference(backward_demodulation,[],[f140,f1113]) ).
fof(f140,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2552,plain,
( spl42_211
| ~ spl42_119 ),
inference(avatar_split_clause,[],[f2551,f1129,f1575]) ).
fof(f1129,plain,
( spl42_119
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).
fof(f2551,plain,
( e10 = e13
| ~ spl42_119 ),
inference(forward_demodulation,[],[f1131,f1301]) ).
fof(f1131,plain,
( e13 = op1(e12,e13)
| ~ spl42_119 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f2545,plain,
( ~ spl42_277
| ~ spl42_29 ),
inference(avatar_split_clause,[],[f2543,f731,f1952]) ).
fof(f731,plain,
( spl42_29
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_29])]) ).
fof(f2543,plain,
( e23 != op2(e22,e21)
| ~ spl42_29 ),
inference(backward_demodulation,[],[f550,f733]) ).
fof(f733,plain,
( e23 = op2(e20,e21)
| ~ spl42_29 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f2526,plain,
( spl42_210
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f2525,f1005,f1569]) ).
fof(f1005,plain,
( spl42_92
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f2525,plain,
( ~ sP13
| e22 = h3(e11) ),
inference(forward_demodulation,[],[f365,f218]) ).
fof(f365,plain,
( ~ sP13
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
( ( e22 != op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e22 != op2(e23,e23)
& e22 = op2(e22,e22) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e22 != op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e22 != op2(e23,e23)
& e22 = op2(e22,e22) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f2524,plain,
( spl42_155
| spl42_280
| spl42_255
| spl42_146 ),
inference(avatar_split_clause,[],[f589,f1252,f1807,f1975,f1292]) ).
fof(f589,plain,
( op1(e10,e10) = e12
| e12 = op1(e13,e10)
| e12 = op1(e11,e10)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e11,e13) )
& ( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) )
& ( e13 = op1(e11,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e11,e13)
| e13 = op1(e10,e13)
| e13 = op1(e13,e13)
| e13 = op1(e12,e13) )
& ( e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11) )
& ( e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13) )
& ( e12 = op1(e10,e11)
| e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12 )
& ( e11 = op1(e11,e11)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12)
| e12 = op1(e11,e12) )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e11) )
& ( e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e10,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11) )
& ( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11) )
& ( e10 = op1(e13,e11)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10)
| e10 = op1(e13,e12) )
& ( e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| e11 = op1(e10,e13)
| op1(e10,e10) = e11 )
& ( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e11,e13) )
& ( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10) )
& ( e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10) )
& ( e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11)
| e11 = op1(e12,e11) )
& ( op1(e10,e10) = e13
| e13 = op1(e12,e10)
| e13 = op1(e13,e10)
| e13 = op1(e11,e10) )
& ( op1(e10,e10) = e11
| e11 = op1(e12,e10)
| e11 = op1(e13,e10)
| e11 = op1(e11,e10) )
& ( e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2521,plain,
( spl42_188
| spl42_194
| spl42_197
| spl42_307 ),
inference(avatar_split_clause,[],[f415,f2206,f1498,f1483,f1448]) ).
fof(f415,plain,
( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e20 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20) )
& ( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e20 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23) )
& ( e20 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e23 = op2(e22,e20)
| e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22) )
& ( e20 = op2(e22,e22)
| e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e21 = op2(e21,e22)
| e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21) )
& ( e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e23
| e20 = op2(e20,e20)
| op2(e20,e20) = e21 )
& ( e20 = op2(e21,e21)
| e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e23 = op2(e23,e23)
| e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e21 = op2(e20,e22)
| e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2504,plain,
( ~ spl42_297
| ~ spl42_137 ),
inference(avatar_split_clause,[],[f2503,f1209,f2122]) ).
fof(f1209,plain,
( spl42_137
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).
fof(f2503,plain,
( ~ sP22
| e20 != h2(e11) ),
inference(forward_demodulation,[],[f311,f401]) ).
fof(f311,plain,
( e20 != op2(e21,e21)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 != op2(e21,e21)
& e20 != op2(e22,e22)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 != op2(e21,e21)
& e20 != op2(e22,e22)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f2499,plain,
~ spl42_228,
inference(avatar_split_clause,[],[f2498,f1670]) ).
fof(f1670,plain,
( spl42_228
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_228])]) ).
fof(f2498,plain,
e10 != op1(e10,e13),
inference(forward_demodulation,[],[f141,f1301]) ).
fof(f141,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2493,plain,
( spl42_297
| spl42_307
| spl42_183
| spl42_284 ),
inference(avatar_split_clause,[],[f2492,f2012,f1422,f2206,f2122]) ).
fof(f2492,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = h2(e11) ),
inference(forward_demodulation,[],[f211,f401]) ).
fof(f211,plain,
( e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e22,e22)
| e23 = op2(e20,e22)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e20 = op2(e23,e23)
| e20 = op2(e20,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e20)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21) )
& ( e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20) )
& ( e21 = op2(e22,e22)
| e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22) )
& ( e22 = op2(e21,e21)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e22) )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21) )
& ( e22 = op2(e21,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22) )
& ( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e20 = op2(e23,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e20) )
& ( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23) )
& ( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e21,e20)
| op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e22,e20) )
& ( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e23,e21) )
& ( op2(e20,e20) = e21
| e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2491,plain,
( ~ spl42_42
| ~ spl42_148 ),
inference(avatar_split_clause,[],[f435,f1260,f788]) ).
fof(f788,plain,
( spl42_42
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).
fof(f435,plain,
( e10 != op1(e10,e10)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e10 != op1(e12,e12)
& e13 = op1(e10,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 != op1(e10,e10)
& e10 != op1(e11,e11) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
( ( e10 != op1(e12,e12)
& e13 = op1(e10,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 != op1(e10,e10)
& e10 != op1(e11,e11) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f2490,plain,
( ~ spl42_153
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f449,f1311,f1284]) ).
fof(f1311,plain,
( spl42_159
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).
fof(f449,plain,
( ~ sP38
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e11 = op1(e12,e11)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e11,e11)
& e12 != op1(e13,e13) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e11 = op1(e12,e11)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e11,e11)
& e12 != op1(e13,e13) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2489,plain,
( spl42_258
| spl42_285
| spl42_326
| spl42_202 ),
inference(avatar_split_clause,[],[f2488,f1524,f2351,f2016,f1834]) ).
fof(f2488,plain,
( e23 = op2(e20,e23)
| e23 = h4(e11)
| e23 = op2(e21,e23)
| e23 = h4(e10) ),
inference(forward_demodulation,[],[f2487,f426]) ).
fof(f2487,plain,
( e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = h4(e10)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f187,f2479]) ).
fof(f187,plain,
( e23 = op2(e22,e23)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2472,plain,
( spl42_297
| spl42_289
| spl42_303
| spl42_290 ),
inference(avatar_split_clause,[],[f2471,f2070,f2182,f2063,f2122]) ).
fof(f2471,plain,
( e23 = h2(e11)
| e22 = h2(e11)
| e21 = h2(e11)
| e20 = h2(e11) ),
inference(forward_demodulation,[],[f2470,f401]) ).
fof(f2470,plain,
( e23 = h2(e11)
| e22 = op2(e21,e21)
| e20 = h2(e11)
| e21 = h2(e11) ),
inference(forward_demodulation,[],[f2469,f401]) ).
fof(f2469,plain,
( e21 = h2(e11)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = h2(e11) ),
inference(forward_demodulation,[],[f2468,f401]) ).
fof(f2468,plain,
( e23 = op2(e21,e21)
| e21 = h2(e11)
| e20 = op2(e21,e21)
| e22 = op2(e21,e21) ),
inference(forward_demodulation,[],[f410,f401]) ).
fof(f410,plain,
( e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2463,plain,
( ~ spl42_159
| spl42_219 ),
inference(avatar_split_clause,[],[f451,f1620,f1311]) ).
fof(f451,plain,
( e11 = op1(e12,e11)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f2438,plain,
( ~ spl42_181
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f307,f891,f1412]) ).
fof(f1412,plain,
( spl42_181
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f307,plain,
( e21 != op2(e23,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e21 != op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e21 != op2(e21,e21) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e21 != op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e21 != op2(e21,e21) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f2424,plain,
( spl42_250
| spl42_203
| spl42_182
| spl42_259 ),
inference(avatar_split_clause,[],[f591,f1839,f1417,f1534,f1770]) ).
fof(f591,plain,
( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2423,plain,
( spl42_188
| spl42_285
| spl42_290
| spl42_88 ),
inference(avatar_split_clause,[],[f2422,f988,f2070,f2016,f1448]) ).
fof(f2422,plain,
( e23 = op2(e21,e20)
| e23 = h2(e11)
| e23 = op2(e21,e23)
| e23 = op2(e21,e22) ),
inference(forward_demodulation,[],[f198,f401]) ).
fof(f198,plain,
( e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2415,plain,
( spl42_43
| spl42_156
| spl42_259
| spl42_153 ),
inference(avatar_split_clause,[],[f389,f1284,f1839,f1297,f792]) ).
fof(f792,plain,
( spl42_43
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).
fof(f389,plain,
( e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e10 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13) )
& ( e12 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11) )
& ( e10 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e11 = op1(e13,e12)
| e13 = op1(e13,e12) )
& ( e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11 )
& ( e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e12 = op1(e12,e10)
| e13 = op1(e12,e10)
| e10 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10) )
& ( e11 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e10 = op1(e10,e11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2411,plain,
( spl42_147
| spl42_111
| spl42_227
| spl42_250 ),
inference(avatar_split_clause,[],[f595,f1770,f1666,f1093,f1256]) ).
fof(f595,plain,
( e11 = op1(e10,e12)
| e11 = op1(e10,e13)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2408,plain,
( ~ spl42_42
| spl42_281 ),
inference(avatar_split_clause,[],[f436,f1986,f788]) ).
fof(f436,plain,
( e13 = op1(e13,e10)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f2405,plain,
( spl42_206
| spl42_109
| spl42_84
| spl42_279 ),
inference(avatar_split_clause,[],[f584,f1971,f969,f1084,f1548]) ).
fof(f584,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2397,plain,
( spl42_280
| spl42_192
| spl42_108
| spl42_184 ),
inference(avatar_split_clause,[],[f609,f1427,f1080,f1470,f1975]) ).
fof(f609,plain,
( e12 = op1(e11,e11)
| e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2394,plain,
( ~ spl42_22
| spl42_89 ),
inference(avatar_split_clause,[],[f338,f992,f700]) ).
fof(f700,plain,
( spl42_22
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_22])]) ).
fof(f338,plain,
( e23 = op2(e23,e20)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e20 != op2(e22,e22)
& e20 != op2(e23,e23)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e20 != op2(e21,e21)
& e23 = op2(e23,e20) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e20 != op2(e22,e22)
& e20 != op2(e23,e23)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e20 != op2(e21,e21)
& e23 = op2(e23,e20) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f2388,plain,
( spl42_69
| spl42_251
| spl42_157
| spl42_118
| spl42_160
| spl42_158
| spl42_161
| spl42_40
| spl42_102
| spl42_85
| spl42_74
| spl42_42
| spl42_100
| spl42_39
| spl42_38
| spl42_159 ),
inference(avatar_split_clause,[],[f526,f1311,f769,f774,f1041,f788,f922,f974,f1051,f779,f1319,f1307,f1315,f1125,f1303,f1774,f900]) ).
fof(f900,plain,
( spl42_69
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).
fof(f1303,plain,
( spl42_157
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).
fof(f1125,plain,
( spl42_118
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).
fof(f1315,plain,
( spl42_160
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f1307,plain,
( spl42_158
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).
fof(f1319,plain,
( spl42_161
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f779,plain,
( spl42_40
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).
fof(f1051,plain,
( spl42_102
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).
fof(f974,plain,
( spl42_85
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f922,plain,
( spl42_74
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).
fof(f1041,plain,
( spl42_100
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).
fof(f774,plain,
( spl42_39
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_39])]) ).
fof(f769,plain,
( spl42_38
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).
fof(f526,plain,
( sP38
| sP36
| sP29
| sP31
| sP40
| sP37
| sP32
| sP34
| sP35
| sP41
| sP39
| sP30
| sP28
| sP27
| e12 = op1(e10,e12)
| sP33 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e13 = op1(e13,op1(e13,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11))
| e12 = op1(e12,op1(e12,e11)) )
& ( ( e12 = op1(e10,e12)
& e10 != op1(e10,e10)
& e10 != op1(e11,e11)
& e10 != op1(e13,e13)
& e12 = op1(e12,e10)
& e10 != op1(e12,e12) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e12 = op1(e12,op1(e12,e13))
| e10 = op1(e10,op1(e10,e13))
| e13 = op1(e13,op1(e13,e13))
| e11 = op1(e11,op1(e11,e13)) ) ),
inference(definition_folding,[],[f10,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f50,plain,
( ( e13 != op1(e12,e12)
& op1(e10,e10) != e13
& e13 != op1(e11,e11)
& e13 != op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 != op1(e11,e11) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e13 != op1(e11,e11)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e12 != op1(e12,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e12 != op1(e11,e11)
& e10 = op1(e12,e10) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e10 != op1(e13,e13) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e10 != op1(e12,e12)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e11,e11)
& e13 != op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e13 = op1(e13,e13) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f62,plain,
( ( e12 = op1(e13,e12)
& op1(e10,e10) != e13
& e12 = op1(e12,e13)
& e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f64,plain,
( ( e12 != op1(e11,e11)
& e12 != op1(e13,e13)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f10,axiom,
( ( e13 = op1(e13,op1(e13,e11))
| e11 = op1(e11,op1(e11,e11))
| e10 = op1(e10,op1(e10,e11))
| e12 = op1(e12,op1(e12,e11)) )
& ( ( e12 = op1(e10,e12)
& e10 != op1(e10,e10)
& e10 != op1(e11,e11)
& e10 != op1(e13,e13)
& e12 = op1(e12,e10)
& e10 != op1(e12,e12) )
| ( e12 != op1(e11,e11)
& e12 != op1(e13,e13)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e12,e12)
& e13 = op1(e10,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10)
& e10 != op1(e10,e10)
& e10 != op1(e11,e11) )
| ( e12 = op1(e13,e12)
& op1(e10,e10) != e13
& e12 = op1(e12,e13)
& e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11) )
| ( e11 = op1(e12,e11)
& e11 = op1(e11,e12)
& e12 != op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e11,e11)
& e12 != op1(e13,e13) )
| ( e13 != op1(e13,e13)
& e13 != op1(e11,e11)
& e13 != op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e13 = op1(e13,e13) )
| ( e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ( e10 != op1(e12,e12)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10) )
| ( e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e10 != op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e12 != op1(e11,e11)
& e10 = op1(e12,e10) )
| ( e13 != op1(e11,e11)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 != op1(e11,e11) )
| ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13) )
| ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11) )
| ( e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12) )
| ( e13 != op1(e12,e12)
& op1(e10,e10) != e13
& e13 != op1(e11,e11)
& e13 != op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) ) )
& ( e13 = op1(e13,op1(e13,e10))
| e12 = op1(e12,op1(e12,e10))
| e11 = op1(e11,op1(e11,e10))
| e10 = op1(e10,op1(e10,e10)) )
& ( e13 = op1(e13,op1(e13,e12))
| e12 = op1(e12,op1(e12,e12))
| e11 = op1(e11,op1(e11,e12))
| e10 = op1(e10,op1(e10,e12)) )
& ( e12 = op1(e12,op1(e12,e13))
| e10 = op1(e10,op1(e10,e13))
| e13 = op1(e13,op1(e13,e13))
| e11 = op1(e11,op1(e11,e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f2328,plain,
( spl42_247
| spl42_322
| spl42_323
| spl42_324 ),
inference(avatar_split_clause,[],[f2315,f2325,f2321,f2317,f1751]) ).
fof(f2315,plain,
( e21 = op2(e21,op2(e21,e23))
| e20 = op2(e20,op2(e20,e23))
| e22 = op2(e22,op2(e22,e23))
| e22 = e23 ),
inference(forward_demodulation,[],[f376,f214]) ).
fof(f376,plain,
( e23 = op2(e23,op2(e23,e23))
| e22 = op2(e22,op2(e22,e23))
| e20 = op2(e20,op2(e20,e23))
| e21 = op2(e21,op2(e21,e23)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e22 = op2(e22,op2(e22,e21))
| e20 = op2(e20,op2(e20,e21))
| e21 = op2(e21,op2(e21,e21))
| e23 = op2(e23,op2(e23,e21)) )
& ( ( e20 = op2(e22,e20)
& e22 != op2(e22,e22)
& e20 = op2(e20,e22)
& e22 != op2(e23,e23)
& op2(e20,e20) != e22
& e22 != op2(e21,e21) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 )
& ( e22 = op2(e22,op2(e22,e23))
| e23 = op2(e23,op2(e23,e23))
| e20 = op2(e20,op2(e20,e23))
| e21 = op2(e21,op2(e21,e23)) )
& ( e20 = op2(e20,op2(e20,e20))
| e22 = op2(e22,op2(e22,e20))
| e23 = op2(e23,op2(e23,e20))
| e21 = op2(e21,op2(e21,e20)) )
& ( e23 = op2(e23,op2(e23,e22))
| e20 = op2(e20,op2(e20,e22))
| e21 = op2(e21,op2(e21,e22))
| e22 = op2(e22,op2(e22,e22)) ) ),
inference(definition_folding,[],[f11,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e23 = op2(e22,e23)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e23,e22) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e21 = op2(e21,e22)
& e22 != op2(e22,e22)
& e22 != op2(e23,e23)
& e21 = op2(e22,e21)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22 )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& e21 != op2(e22,e22)
& e23 = op2(e21,e23)
& op2(e20,e20) != e21 )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 != op2(e21,e21)
& e22 = op2(e23,e22)
& op2(e20,e20) != e23
& e23 != op2(e22,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e22 = op2(e21,e22) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f46,plain,
( ( e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& e21 = op2(e23,e21)
& op2(e20,e20) != e23 )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e20 != op2(e23,e23)
& e22 = op2(e22,e20) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e20 = op2(e23,e20)
& e23 != op2(e21,e21)
& e20 = op2(e20,e23)
& e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23 )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f11,axiom,
( ( e22 = op2(e22,op2(e22,e21))
| e20 = op2(e20,op2(e20,e21))
| e21 = op2(e21,op2(e21,e21))
| e23 = op2(e23,op2(e23,e21)) )
& ( ( e20 = op2(e22,e20)
& e22 != op2(e22,e22)
& e20 = op2(e20,e22)
& e22 != op2(e23,e23)
& op2(e20,e20) != e22
& e22 != op2(e21,e21) )
| ( e20 = op2(e23,e20)
& e23 != op2(e21,e21)
& e20 = op2(e20,e23)
& e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23 )
| ( e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e20 != op2(e23,e23)
& e22 = op2(e22,e20) )
| ( e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& e21 = op2(e23,e21)
& op2(e20,e20) != e23 )
| ( e21 != op2(e23,e23)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21)
& op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e21 != op2(e21,e21) )
| ( e21 = op2(e21,e20)
& e21 = op2(e20,e21)
& e20 != op2(e21,e21)
& e20 != op2(e22,e22)
& e20 != op2(e20,e20)
& e20 != op2(e23,e23) )
| ( op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e22 = op2(e21,e22) )
| ( e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 != op2(e21,e21)
& e22 = op2(e23,e22)
& op2(e20,e20) != e23
& e23 != op2(e22,e22) )
| ( e20 != op2(e22,e22)
& e20 != op2(e23,e23)
& e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e20 != op2(e21,e21)
& e23 = op2(e23,e20) )
| ( e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& e21 != op2(e22,e22)
& e23 = op2(e21,e23)
& op2(e20,e20) != e21 )
| ( e21 = op2(e21,e22)
& e22 != op2(e22,e22)
& e22 != op2(e23,e23)
& e21 = op2(e22,e21)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22 )
| ( op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23) )
| ( e22 != op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e22 != op2(e23,e23)
& e22 = op2(e22,e22) )
| ( e23 = op2(e22,e23)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e23,e22) ) )
& ( e22 = op2(e22,op2(e22,e23))
| e23 = op2(e23,op2(e23,e23))
| e20 = op2(e20,op2(e20,e23))
| e21 = op2(e21,op2(e21,e23)) )
& ( e20 = op2(e20,op2(e20,e20))
| e22 = op2(e22,op2(e22,e20))
| e23 = op2(e23,op2(e23,e20))
| e21 = op2(e21,op2(e21,e20)) )
& ( e23 = op2(e23,op2(e23,e22))
| e20 = op2(e20,op2(e20,e22))
| e21 = op2(e21,op2(e21,e22))
| e22 = op2(e22,op2(e22,e22)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2312,plain,
( spl42_318
| spl42_319
| spl42_320
| spl42_321 ),
inference(avatar_split_clause,[],[f527,f2309,f2305,f2301,f2297]) ).
fof(f527,plain,
( e10 = op1(e10,op1(e10,e11))
| e11 = op1(e11,op1(e11,e11))
| e12 = op1(e12,op1(e12,e11))
| e13 = op1(e13,op1(e13,e11)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2289,plain,
( ~ spl42_40
| spl42_148 ),
inference(avatar_split_clause,[],[f466,f1260,f779]) ).
fof(f466,plain,
( e10 = op1(e10,e10)
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e10 != op1(e12,e12)
& e10 != op1(e13,e13)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e10 != op1(e10,e10) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2283,plain,
~ spl42_257,
inference(avatar_split_clause,[],[f113,f1818]) ).
fof(f113,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2282,plain,
( spl42_38
| spl42_74
| spl42_40
| spl42_118
| spl42_69
| spl42_102
| spl42_160
| spl42_157
| spl42_155
| spl42_42
| spl42_39
| spl42_161
| spl42_159
| spl42_100
| spl42_85
| spl42_158 ),
inference(avatar_split_clause,[],[f522,f1307,f974,f1041,f1311,f1319,f774,f788,f1292,f1303,f1315,f1051,f900,f1125,f779,f922,f769]) ).
fof(f522,plain,
( sP39
| sP32
| sP31
| sP38
| sP41
| sP29
| sP40
| e12 = op1(e12,e10)
| sP27
| sP30
| sP34
| sP33
| sP28
| sP35
| sP37
| sP36 ),
inference(cnf_transformation,[],[f65]) ).
fof(f2273,plain,
( ~ spl42_142
| spl42_209 ),
inference(avatar_split_clause,[],[f334,f1565,f1233]) ).
fof(f1233,plain,
( spl42_142
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f334,plain,
( e22 = op2(e23,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e23 != op2(e23,e23)
& e22 = op2(e22,e23)
& e23 != op2(e21,e21)
& e22 = op2(e23,e22)
& op2(e20,e20) != e23
& e23 != op2(e22,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2272,plain,
~ spl42_269,
inference(avatar_split_clause,[],[f528,f1903]) ).
fof(f528,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2217,plain,
( spl42_99
| spl42_30
| spl42_223
| spl42_264 ),
inference(avatar_split_clause,[],[f2216,f1872,f1644,f735,f1036]) ).
fof(f2216,plain,
( e22 = h1(e11)
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f194,f405]) ).
fof(f194,plain,
( e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| e22 = op2(e20,e23)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2209,plain,
( spl42_226
| spl42_307
| spl42_131
| spl42_288 ),
inference(avatar_split_clause,[],[f2204,f2039,f1183,f2206,f1661]) ).
fof(f2204,plain,
( e20 = h3(e11)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f190,f218]) ).
fof(f190,plain,
( e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2156,plain,
( ~ spl42_195
| spl42_194 ),
inference(avatar_split_clause,[],[f355,f1483,f1488]) ).
fof(f1488,plain,
( spl42_195
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).
fof(f355,plain,
( e21 = op2(e21,e22)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e21 = op2(e21,e22)
& e22 != op2(e22,e22)
& e22 != op2(e23,e23)
& e21 = op2(e22,e21)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22 )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f2150,plain,
spl42_67,
inference(avatar_split_clause,[],[f215,f891]) ).
fof(f215,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f2147,plain,
( spl42_144
| spl42_277
| spl42_90
| spl42_117 ),
inference(avatar_split_clause,[],[f2146,f1120,f996,f1952,f1242]) ).
fof(f2146,plain,
( e23 = h3(e11)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f200,f218]) ).
fof(f200,plain,
( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2138,plain,
( spl42_153
| spl42_251
| spl42_190
| spl42_192 ),
inference(avatar_split_clause,[],[f602,f1470,f1459,f1774,f1284]) ).
fof(f602,plain,
( e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2129,plain,
( spl42_206
| spl42_156
| spl42_191
| spl42_114 ),
inference(avatar_split_clause,[],[f610,f1107,f1465,f1297,f1548]) ).
fof(f610,plain,
( e13 = op1(e10,e12)
| e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2126,plain,
( ~ spl42_148
| ~ spl42_40 ),
inference(avatar_split_clause,[],[f464,f779,f1260]) ).
fof(f464,plain,
( ~ sP35
| e10 != op1(e10,e10) ),
inference(cnf_transformation,[],[f99]) ).
fof(f2125,plain,
( ~ spl42_98
| ~ spl42_297 ),
inference(avatar_split_clause,[],[f2120,f2122,f1032]) ).
fof(f1032,plain,
( spl42_98
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f2120,plain,
( e20 != h2(e11)
| ~ sP25 ),
inference(forward_demodulation,[],[f294,f401]) ).
fof(f294,plain,
( ~ sP25
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e20 != op2(e23,e23)
& e22 = op2(e22,e20) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2119,plain,
( spl42_251
| spl42_224
| spl42_146
| spl42_296 ),
inference(avatar_split_clause,[],[f604,f2104,f1252,f1651,f1774]) ).
fof(f604,plain,
( e12 = op1(e10,e11)
| op1(e10,e10) = e12
| e12 = op1(e10,e13)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2117,plain,
( spl42_273
| ~ spl42_196 ),
inference(avatar_split_clause,[],[f347,f1492,f1923]) ).
fof(f1492,plain,
( spl42_196
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).
fof(f347,plain,
( ~ sP16
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21)
& e21 != op2(e22,e22)
& e23 = op2(e21,e23)
& op2(e20,e20) != e21 )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2116,plain,
( spl42_116
| spl42_296
| spl42_96
| spl42_111 ),
inference(avatar_split_clause,[],[f384,f1093,f1022,f2104,f1115]) ).
fof(f384,plain,
( e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2113,plain,
~ spl42_211,
inference(avatar_split_clause,[],[f532,f1575]) ).
fof(f532,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2110,plain,
( spl42_25
| ~ spl42_152 ),
inference(avatar_split_clause,[],[f317,f1279,f714]) ).
fof(f1279,plain,
( spl42_152
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).
fof(f317,plain,
( ~ sP21
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( op2(e20,e20) != e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21)
& e21 != op2(e21,e21)
& e21 != op2(e23,e23)
& e22 = op2(e21,e22) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2109,plain,
( ~ spl42_161
| spl42_153 ),
inference(avatar_split_clause,[],[f431,f1284,f1319]) ).
fof(f431,plain,
( e12 = op1(e12,e12)
| ~ sP41 ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e12 != op1(e11,e11)
& e12 != op1(e13,e13)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2108,plain,
( spl42_253
| spl42_278
| spl42_25
| spl42_277 ),
inference(avatar_split_clause,[],[f414,f1952,f714,f1964,f1794]) ).
fof(f414,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2095,plain,
( spl42_291
| spl42_292
| spl42_293
| spl42_294 ),
inference(avatar_split_clause,[],[f519,f2092,f2088,f2084,f2080]) ).
fof(f519,plain,
( e13 = op1(e13,op1(e13,e12))
| e10 = op1(e10,op1(e10,e12))
| e11 = op1(e11,op1(e11,e12))
| e12 = op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2068,plain,
spl42_266,
inference(avatar_split_clause,[],[f2067,f1884]) ).
fof(f2067,plain,
e22 = h4(e12),
inference(forward_demodulation,[],[f424,f214]) ).
fof(f424,plain,
op2(e23,op2(e23,e23)) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f2052,plain,
( spl42_205
| spl42_255
| spl42_262
| spl42_281 ),
inference(avatar_split_clause,[],[f385,f1986,f1862,f1807,f1542]) ).
fof(f385,plain,
( e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2047,plain,
~ spl42_93,
inference(avatar_split_clause,[],[f2046,f1010]) ).
fof(f1010,plain,
( spl42_93
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f2046,plain,
e10 != op1(e12,e11),
inference(forward_demodulation,[],[f161,f1301]) ).
fof(f161,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2043,plain,
( spl42_199
| spl42_86
| spl42_27
| spl42_223 ),
inference(avatar_split_clause,[],[f208,f1644,f722,f979,f1506]) ).
fof(f208,plain,
( e22 = op2(e20,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2031,plain,
( ~ spl42_21
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f329,f1056,f696]) ).
fof(f1056,plain,
( spl42_103
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_103])]) ).
fof(f329,plain,
( ~ sP19
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e20 != op2(e23,e23)
& e20 != op2(e22,e22)
& e20 != op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2030,plain,
( ~ spl42_286
| ~ spl42_171 ),
inference(avatar_split_clause,[],[f222,f1371,f2027]) ).
fof(f1371,plain,
( spl42_171
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f222,plain,
( ~ sP11
| e20 != h4(e10) ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e12)
& e20 != h4(e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e12)
& e20 != h4(e13) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f2025,plain,
( spl42_72
| ~ spl42_71 ),
inference(avatar_split_clause,[],[f321,f909,f913]) ).
fof(f909,plain,
( spl42_71
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f321,plain,
( ~ sP20
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2021,plain,
( spl42_84
| spl42_94
| spl42_184
| spl42_37 ),
inference(avatar_split_clause,[],[f396,f765,f1427,f1014,f969]) ).
fof(f396,plain,
( e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2019,plain,
( spl42_249
| spl42_284
| spl42_199
| spl42_285 ),
inference(avatar_split_clause,[],[f416,f2016,f1506,f2012,f1764]) ).
fof(f416,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2009,plain,
( ~ spl42_82
| spl42_208 ),
inference(avatar_split_clause,[],[f287,f1559,f959]) ).
fof(f959,plain,
( spl42_82
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f287,plain,
( e20 = op2(e20,e23)
| ~ sP26 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e20 = op2(e23,e20)
& e23 != op2(e21,e21)
& e20 = op2(e20,e23)
& e23 != op2(e23,e23)
& e23 != op2(e22,e22)
& op2(e20,e20) != e23 )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2008,plain,
( ~ spl42_159
| spl42_182 ),
inference(avatar_split_clause,[],[f450,f1417,f1311]) ).
fof(f450,plain,
( e11 = op1(e11,e12)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f2000,plain,
( spl42_225
| ~ spl42_158 ),
inference(avatar_split_clause,[],[f1999,f1307,f1655]) ).
fof(f1999,plain,
( ~ sP39
| e10 = e12 ),
inference(forward_demodulation,[],[f443,f1301]) ).
fof(f443,plain,
( ~ sP39
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e12 = op1(e13,e12)
& op1(e10,e10) != e13
& e12 = op1(e12,e13)
& e13 != op1(e13,e13)
& e13 != op1(e12,e12)
& e13 != op1(e11,e11) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1998,plain,
( spl42_72
| spl42_89
| spl42_273
| spl42_187 ),
inference(avatar_split_clause,[],[f185,f1444,f1923,f992,f913]) ).
fof(f185,plain,
( e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1992,plain,
( ~ spl42_195
| ~ spl42_210 ),
inference(avatar_split_clause,[],[f1991,f1569,f1488]) ).
fof(f1991,plain,
( e22 != h3(e11)
| ~ sP15 ),
inference(forward_demodulation,[],[f354,f218]) ).
fof(f354,plain,
( ~ sP15
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f89]) ).
fof(f1990,plain,
( spl42_228
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f486,f974,f1670]) ).
fof(f486,plain,
( ~ sP32
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e13 != op1(e11,e11)
& e10 = op1(e10,e13)
& op1(e10,e10) != e13
& e10 = op1(e13,e10)
& e13 != op1(e12,e12)
& e13 != op1(e13,e13) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f1989,plain,
( spl42_73
| spl42_221
| spl42_281
| spl42_191 ),
inference(avatar_split_clause,[],[f606,f1465,f1986,f1635,f918]) ).
fof(f606,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1984,plain,
spl42_145,
inference(avatar_split_clause,[],[f1983,f1246]) ).
fof(f1983,plain,
e20 = op2(e22,e23),
inference(forward_demodulation,[],[f213,f214]) ).
fof(f213,plain,
e20 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1979,plain,
( spl42_198
| spl42_88
| spl42_193
| spl42_183 ),
inference(avatar_split_clause,[],[f422,f1422,f1477,f988,f1502]) ).
fof(f422,plain,
( e20 = op2(e21,e20)
| e21 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1959,plain,
( ~ spl42_23
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f356,f891,f705]) ).
fof(f705,plain,
( spl42_23
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_23])]) ).
fof(f356,plain,
( e21 != op2(e23,e23)
| ~ sP14 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( op2(e20,e20) != e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1957,plain,
( ~ spl42_157
| spl42_204 ),
inference(avatar_split_clause,[],[f513,f1538,f1303]) ).
fof(f513,plain,
( e11 = op1(e13,e11)
| ~ sP27 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e13 != op1(e12,e12)
& op1(e10,e10) != e13
& e13 != op1(e11,e11)
& e13 != op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f1950,plain,
( spl42_135
| spl42_94
| spl42_110
| spl42_263 ),
inference(avatar_split_clause,[],[f593,f1866,f1088,f1014,f1200]) ).
fof(f1088,plain,
( spl42_110
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).
fof(f593,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1948,plain,
( spl42_275
| spl42_264
| spl42_276
| spl42_129 ),
inference(avatar_split_clause,[],[f1939,f1174,f1945,f1872,f1941]) ).
fof(f1939,plain,
( e23 = h1(e11)
| e21 = h1(e11)
| e22 = h1(e11)
| e20 = h1(e11) ),
inference(forward_demodulation,[],[f1938,f405]) ).
fof(f1938,plain,
( e22 = h1(e11)
| e20 = h1(e11)
| e21 = h1(e11)
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f1937,f405]) ).
fof(f1937,plain,
( e20 = h1(e11)
| e21 = h1(e11)
| op2(e20,e20) = e22
| op2(e20,e20) = e23 ),
inference(forward_demodulation,[],[f1936,f405]) ).
fof(f1936,plain,
( e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e22
| e21 = h1(e11) ),
inference(forward_demodulation,[],[f411,f405]) ).
fof(f411,plain,
( op2(e20,e20) = e21
| op2(e20,e20) = e23
| e20 = op2(e20,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1935,plain,
( spl42_152
| spl42_207
| spl42_185
| spl42_92
| spl42_71
| spl42_103
| spl42_82
| spl42_196
| spl42_195
| spl42_137
| spl42_98
| spl42_142
| spl42_87
| spl42_22
| spl42_181
| spl42_23 ),
inference(avatar_split_clause,[],[f382,f705,f1412,f700,f983,f1233,f1032,f1209,f1488,f1492,f959,f1056,f909,f1005,f1432,f1553,f1279]) ).
fof(f1432,plain,
( spl42_185
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).
fof(f983,plain,
( spl42_87
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f382,plain,
( sP14
| sP23
| sP17
| sP12
| sP18
| sP25
| sP22
| sP15
| sP16
| sP26
| sP19
| sP20
| sP13
| sP24
| e20 = op2(e22,e20)
| sP21 ),
inference(cnf_transformation,[],[f49]) ).
fof(f1927,plain,
( ~ spl42_38
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f458,f1027,f769]) ).
fof(f458,plain,
( e11 != op1(e13,e13)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e10 = op1(e11,e10)
& e10 = op1(e10,e11)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e11 != op1(e11,e11)
& e11 != op1(e13,e13) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f1911,plain,
( spl42_102
| spl42_161
| spl42_118
| spl42_157
| spl42_160
| spl42_85
| spl42_159
| spl42_69
| spl42_39
| spl42_100
| spl42_42
| spl42_40
| spl42_158
| spl42_38
| ~ spl42_94
| spl42_74 ),
inference(avatar_split_clause,[],[f524,f922,f1014,f769,f1307,f779,f788,f1041,f774,f900,f1311,f974,f1315,f1303,f1125,f1319,f1051]) ).
fof(f524,plain,
( sP37
| e10 != op1(e11,e11)
| sP36
| sP39
| sP35
| sP40
| sP31
| sP29
| sP33
| sP38
| sP32
| sP30
| sP27
| sP28
| sP41
| sP34 ),
inference(cnf_transformation,[],[f65]) ).
fof(f1910,plain,
( spl42_268
| spl42_155
| spl42_269
| spl42_270 ),
inference(avatar_split_clause,[],[f1897,f1907,f1903,f1292,f1899]) ).
fof(f1897,plain,
( e11 = op1(e11,op1(e11,e13))
| e12 = e13
| e12 = op1(e12,e10)
| e10 = op1(e10,op1(e10,e13)) ),
inference(forward_demodulation,[],[f1896,f1301]) ).
fof(f1896,plain,
( e10 = op1(e10,op1(e10,e13))
| e12 = op1(e12,op1(e12,e13))
| e12 = e13
| e11 = op1(e11,op1(e11,e13)) ),
inference(forward_demodulation,[],[f518,f108]) ).
fof(f518,plain,
( e13 = op1(e13,op1(e13,e13))
| e10 = op1(e10,op1(e10,e13))
| e12 = op1(e12,op1(e12,e13))
| e11 = op1(e11,op1(e11,e13)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1893,plain,
~ spl42_225,
inference(avatar_split_clause,[],[f531,f1655]) ).
fof(f531,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f1887,plain,
( ~ spl42_266
| ~ spl42_169 ),
inference(avatar_split_clause,[],[f226,f1363,f1884]) ).
fof(f1363,plain,
( spl42_169
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).
fof(f226,plain,
( ~ sP10
| e22 != h4(e12) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e13) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e13) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f1882,plain,
( ~ spl42_210
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f1881,f1005,f1569]) ).
fof(f1881,plain,
( ~ sP13
| e22 != h3(e11) ),
inference(forward_demodulation,[],[f366,f218]) ).
fof(f366,plain,
( ~ sP13
| e22 != op2(e22,e22) ),
inference(cnf_transformation,[],[f91]) ).
fof(f1880,plain,
( spl42_66
| spl42_265
| spl42_189
| spl42_89 ),
inference(avatar_split_clause,[],[f423,f992,f1454,f1877,f887]) ).
fof(f423,plain,
( e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1869,plain,
( spl42_70
| spl42_262
| spl42_263
| spl42_148 ),
inference(avatar_split_clause,[],[f599,f1260,f1866,f1862,f904]) ).
fof(f904,plain,
( spl42_70
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_70])]) ).
fof(f599,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1854,plain,
~ spl42_43,
inference(avatar_split_clause,[],[f1853,f792]) ).
fof(f1853,plain,
e10 != op1(e12,e12),
inference(forward_demodulation,[],[f143,f1301]) ).
fof(f143,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1843,plain,
spl42_97,
inference(avatar_split_clause,[],[f110,f1027]) ).
fof(f110,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f1823,plain,
( ~ spl42_185
| spl42_249 ),
inference(avatar_split_clause,[],[f301,f1764,f1432]) ).
fof(f301,plain,
( e21 = op2(e21,e23)
| ~ sP24 ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e21 = op2(e21,e23)
& e23 != op2(e23,e23)
& e23 != op2(e21,e21)
& e23 != op2(e22,e22)
& e21 = op2(e23,e21)
& op2(e20,e20) != e23 )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f1805,plain,
~ spl42_247,
inference(avatar_split_clause,[],[f116,f1751]) ).
fof(f116,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1804,plain,
( ~ spl42_42
| ~ spl42_94 ),
inference(avatar_split_clause,[],[f434,f1014,f788]) ).
fof(f434,plain,
( e10 != op1(e11,e11)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f1803,plain,
( spl42_156
| spl42_211
| spl42_254
| spl42_218 ),
inference(avatar_split_clause,[],[f1798,f1616,f1800,f1575,f1297]) ).
fof(f1798,plain,
( e13 = op1(e12,e11)
| e13 = op1(e12,e10)
| e10 = e13
| e13 = op1(e12,e12) ),
inference(forward_demodulation,[],[f590,f1301]) ).
fof(f590,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1797,plain,
( ~ spl42_195
| spl42_253 ),
inference(avatar_split_clause,[],[f352,f1794,f1488]) ).
fof(f352,plain,
( e21 = op2(e22,e21)
| ~ sP15 ),
inference(cnf_transformation,[],[f89]) ).
fof(f1779,plain,
( spl42_144
| ~ spl42_87 ),
inference(avatar_split_clause,[],[f373,f983,f1242]) ).
fof(f373,plain,
( ~ sP12
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f92]) ).
fof(f92,plain,
( ( e23 = op2(e22,e23)
& e22 != op2(e23,e23)
& e22 != op2(e22,e22)
& e22 != op2(e21,e21)
& op2(e20,e20) != e22
& e23 = op2(e23,e22) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1778,plain,
( ~ spl42_98
| spl42_28 ),
inference(avatar_split_clause,[],[f290,f726,f1032]) ).
fof(f290,plain,
( e22 = op2(e22,e20)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f1761,plain,
( spl42_147
| spl42_248
| spl42_101
| spl42_205 ),
inference(avatar_split_clause,[],[f585,f1542,f1047,f1758,f1256]) ).
fof(f585,plain,
( e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1756,plain,
( ~ spl42_146
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f430,f1319,f1252]) ).
fof(f430,plain,
( ~ sP41
| op1(e10,e10) != e12 ),
inference(cnf_transformation,[],[f93]) ).
fof(f1755,plain,
( ~ spl42_104
| ~ spl42_103 ),
inference(avatar_split_clause,[],[f328,f1056,f1060]) ).
fof(f328,plain,
( ~ sP19
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f85]) ).
fof(f1673,plain,
( spl42_115
| spl42_227
| spl42_224
| spl42_228 ),
inference(avatar_split_clause,[],[f390,f1670,f1651,f1666,f1111]) ).
fof(f390,plain,
( e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1664,plain,
( spl42_187
| spl42_209
| spl42_226
| spl42_68 ),
inference(avatar_split_clause,[],[f418,f895,f1661,f1565,f1444]) ).
fof(f418,plain,
( e21 = op2(e23,e22)
| e20 = op2(e23,e22)
| e22 = op2(e23,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1659,plain,
( ~ spl42_74
| ~ spl42_73 ),
inference(avatar_split_clause,[],[f457,f918,f922]) ).
fof(f457,plain,
( e13 != op1(e13,e13)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e13 != op1(e13,e13)
& e13 != op1(e11,e11)
& e13 != op1(e12,e12)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e13 = op1(e13,e13) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f1658,plain,
( spl42_76
| spl42_224
| spl42_108
| spl42_225 ),
inference(avatar_split_clause,[],[f1649,f1655,f1080,f1651,f932]) ).
fof(f932,plain,
( spl42_76
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f1649,plain,
( e10 = e12
| e12 = op1(e11,e13)
| e12 = op1(e10,e13)
| e12 = op1(e13,e13) ),
inference(forward_demodulation,[],[f592,f1301]) ).
fof(f592,plain,
( e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1648,plain,
( ~ spl42_97
| ~ spl42_160 ),
inference(avatar_split_clause,[],[f499,f1315,f1027]) ).
fof(f499,plain,
( ~ sP30
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e13 = op1(e13,e11)
& e11 != op1(e11,e11)
& op1(e10,e10) != e11
& e13 = op1(e11,e13) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1647,plain,
( spl42_222
| spl42_208
| spl42_202
| spl42_223 ),
inference(avatar_split_clause,[],[f421,f1644,f1524,f1559,f1640]) ).
fof(f421,plain,
( e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1632,plain,
~ spl42_70,
inference(avatar_split_clause,[],[f1631,f904]) ).
fof(f1631,plain,
e10 != op1(e12,e10),
inference(forward_demodulation,[],[f149,f1301]) ).
fof(f149,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1624,plain,
( spl42_190
| spl42_136
| spl42_191
| spl42_203 ),
inference(avatar_split_clause,[],[f392,f1534,f1465,f1204,f1459]) ).
fof(f392,plain,
( e11 = op1(e13,e12)
| e13 = op1(e13,e12)
| e10 = op1(e13,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1623,plain,
( spl42_126
| spl42_218
| spl42_219
| spl42_93 ),
inference(avatar_split_clause,[],[f388,f1010,f1620,f1616,f1160]) ).
fof(f388,plain,
( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1579,plain,
( spl42_100
| spl42_161
| spl42_158
| spl42_40
| spl42_42
| spl42_102
| ~ spl42_148
| spl42_159
| spl42_157
| spl42_38
| spl42_74
| spl42_118
| spl42_160
| spl42_85
| spl42_69
| spl42_39 ),
inference(avatar_split_clause,[],[f525,f774,f900,f974,f1315,f1125,f922,f769,f1303,f1311,f1260,f1051,f788,f779,f1307,f1319,f1041]) ).
fof(f525,plain,
( sP29
| sP33
| sP32
| sP30
| sP28
| sP37
| sP36
| sP27
| sP38
| e10 != op1(e10,e10)
| sP34
| sP40
| sP35
| sP39
| sP41
| sP31 ),
inference(cnf_transformation,[],[f65]) ).
fof(f1562,plain,
( spl42_131
| spl42_32
| spl42_208
| spl42_104 ),
inference(avatar_split_clause,[],[f188,f1060,f1559,f743,f1183]) ).
fof(f188,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1551,plain,
( spl42_182
| spl42_135
| spl42_192
| spl42_206 ),
inference(avatar_split_clause,[],[f398,f1548,f1470,f1200,f1417]) ).
fof(f398,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e10 = op1(e11,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1546,plain,
( ~ spl42_94
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f474,f1051,f1014]) ).
fof(f474,plain,
( ~ sP34
| e10 != op1(e11,e11) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e10 != op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10)
& e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e10 != op1(e13,e13) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1532,plain,
( ~ spl42_137
| spl42_31 ),
inference(avatar_split_clause,[],[f312,f739,f1209]) ).
fof(f312,plain,
( e21 = op2(e20,e21)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f1527,plain,
( ~ spl42_22
| spl42_202 ),
inference(avatar_split_clause,[],[f340,f1524,f700]) ).
fof(f340,plain,
( e23 = op2(e20,e23)
| ~ sP17 ),
inference(cnf_transformation,[],[f87]) ).
fof(f1516,plain,
( ~ spl42_153
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f429,f1319,f1284]) ).
fof(f429,plain,
( ~ sP41
| e12 != op1(e12,e12) ),
inference(cnf_transformation,[],[f93]) ).
fof(f1486,plain,
( spl42_194
| spl42_128
| spl42_132
| spl42_68 ),
inference(avatar_split_clause,[],[f203,f895,f1187,f1169,f1483]) ).
fof(f203,plain,
( e21 = op2(e23,e22)
| e21 = op2(e20,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1480,plain,
( ~ spl42_137
| spl42_193 ),
inference(avatar_split_clause,[],[f313,f1477,f1209]) ).
fof(f313,plain,
( e21 = op2(e21,e20)
| ~ sP22 ),
inference(cnf_transformation,[],[f82]) ).
fof(f1475,plain,
~ spl42_110,
inference(avatar_split_clause,[],[f1474,f1088]) ).
fof(f1474,plain,
e10 != op1(e11,e13),
inference(forward_demodulation,[],[f158,f1301]) ).
fof(f158,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1452,plain,
( ~ spl42_159
| ~ spl42_76 ),
inference(avatar_split_clause,[],[f446,f932,f1311]) ).
fof(f446,plain,
( e12 != op1(e13,e13)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f1410,plain,
( ~ spl42_163
| ~ spl42_164
| ~ spl42_165
| ~ spl42_166
| ~ spl42_167
| ~ spl42_168
| spl42_169
| ~ spl42_170
| spl42_171
| ~ spl42_172
| ~ spl42_173
| ~ spl42_174
| ~ spl42_175
| ~ spl42_176
| ~ spl42_177
| ~ spl42_178
| ~ spl42_179
| spl42_150
| ~ spl42_180 ),
inference(avatar_split_clause,[],[f1337,f1407,f1269,f1403,f1399,f1395,f1391,f1387,f1383,f1379,f1375,f1371,f1367,f1363,f1359,f1355,f1351,f1347,f1343,f1339]) ).
fof(f1269,plain,
( spl42_150
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f1337,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP9
| h4(e10) != op2(h4(e12),e23)
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP11
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| sP10
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11)) ),
inference(forward_demodulation,[],[f1336,f427]) ).
fof(f1336,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP11
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(e10) != op2(h4(e12),e23)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP10
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP9 ),
inference(forward_demodulation,[],[f1335,f427]) ).
fof(f1335,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(e10) != op2(h4(e12),e23)
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP11
| sP9
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP10
| h4(op1(e10,e13)) != op2(h4(e10),e23)
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[],[f1334,f427]) ).
fof(f1334,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP10
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| sP9
| h4(e10) != op2(h4(e12),e23)
| op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| sP11 ),
inference(forward_demodulation,[],[f1333,f427]) ).
fof(f1333,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP9
| sP10
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| op2(e23,e23) != h4(op1(e13,e13))
| h4(e10) != op2(h4(e12),e23)
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP11
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[],[f1332,f427]) ).
fof(f1332,plain,
( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| sP11
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP10
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(e10) != op2(h4(e12),e23)
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP9 ),
inference(forward_demodulation,[],[f1331,f427]) ).
fof(f1331,plain,
( h4(e10) != op2(h4(e12),e23)
| sP11
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| sP10
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP9
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(forward_demodulation,[],[f1330,f1301]) ).
fof(f1330,plain,
( sP10
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP11
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) ),
inference(forward_demodulation,[],[f1329,f427]) ).
fof(f1329,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| sP11
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP9
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP10
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) ),
inference(subsumption_resolution,[],[f283,f427]) ).
fof(f283,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP10
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP9
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP11
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| e23 != h4(e13)
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| sP11
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| sP10
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP9
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) )
& ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e10) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| sP8
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP7
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP6 )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13) )
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| sP5
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| sP4
| sP3
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) )
& ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e12) )
| sP2
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP1
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP0
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11)
& e23 != h3(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e12)
& e20 != h4(e13) )
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e10)
& e22 != h4(e13) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),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,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11)) )
& ( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e10) )
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e21 != h1(e12)
& e21 != h1(e10)
& e21 != h1(e13)
& e21 != h1(e11) )
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e23 != h1(e11)
& e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e10) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e22 != h1(e11)
& e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12) ) )
& ( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13) )
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| ( e21 != h3(e10)
& e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11) )
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| ( e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) )
& ( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e13)
& e22 != h2(e12) )
| ( e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e13) )
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| ( e23 != h2(e10)
& e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| ( e21 != h2(e12)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e11) )
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10)
| e20 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e13)
| e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& 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)) )
| ( ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e10)
| e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11) ) )
| ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10)
| e20 = h3(e13) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e13) )
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10)
| e20 = h1(e13) )
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e13)
| e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& 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)) )
| ( ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13) )
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& ( e21 = h4(e12)
| e21 = h4(e10)
| e21 = h4(e11)
| e21 = h4(e13) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e10)
| e23 = h4(e12)
| e23 = h4(e13) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) )
| ( h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e10)
| e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e13) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& ( e22 = h2(e12)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e10) )
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11) ) )
| ( h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10)
| e20 = h3(e13) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& ( e21 = h3(e10)
| e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e11)
| e23 = h3(e12) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1323,plain,
( ~ spl42_42
| spl42_115 ),
inference(avatar_split_clause,[],[f438,f1111,f788]) ).
fof(f438,plain,
( e13 = op1(e10,e13)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f1295,plain,
( spl42_126
| spl42_153
| spl42_154
| spl42_155 ),
inference(avatar_split_clause,[],[f612,f1292,f1288,f1284,f1160]) ).
fof(f612,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1272,plain,
( ~ spl42_149
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f231,f1269,f1265]) ).
fof(f231,plain,
( ~ sP9
| e21 != h4(e11) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1263,plain,
( spl42_146
| spl42_147
| spl42_148
| spl42_113 ),
inference(avatar_split_clause,[],[f391,f1103,f1260,f1256,f1252]) ).
fof(f391,plain,
( op1(e10,e10) = e13
| e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1231,plain,
( spl42_138
| spl42_139
| spl42_140
| spl42_141 ),
inference(avatar_split_clause,[],[f1214,f1228,f1224,f1220,f1216]) ).
fof(f1214,plain,
( e20 = op2(e20,op2(e20,e21))
| e21 = h2(e12)
| e22 = op2(e22,op2(e22,e21))
| e23 = op2(e23,op2(e23,e21)) ),
inference(forward_demodulation,[],[f383,f403]) ).
fof(f383,plain,
( e21 = op2(e21,op2(e21,e21))
| e23 = op2(e23,op2(e23,e21))
| e20 = op2(e20,op2(e20,e21))
| e22 = op2(e22,op2(e22,e21)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f1213,plain,
( ~ spl42_74
| spl42_73 ),
inference(avatar_split_clause,[],[f454,f918,f922]) ).
fof(f454,plain,
( e13 = op1(e13,e13)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f1207,plain,
( spl42_43
| spl42_134
| spl42_135
| spl42_136 ),
inference(avatar_split_clause,[],[f608,f1204,f1200,f1196,f792]) ).
fof(f608,plain,
( e10 = op1(e13,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1172,plain,
( spl42_127
| spl42_128
| spl42_112
| spl42_26 ),
inference(avatar_split_clause,[],[f417,f718,f1098,f1169,f1165]) ).
fof(f1098,plain,
( spl42_112
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).
fof(f417,plain,
( e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1163,plain,
( ~ spl42_100
| spl42_126 ),
inference(avatar_split_clause,[],[f490,f1160,f1041]) ).
fof(f490,plain,
( e12 = op1(e12,e11)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& op1(e10,e10) != e11
& e12 = op1(e12,e11)
& e12 = op1(e11,e12)
& e11 != op1(e11,e11) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f1132,plain,
( ~ spl42_118
| spl42_119 ),
inference(avatar_split_clause,[],[f509,f1129,f1125]) ).
fof(f509,plain,
( e13 = op1(e12,e13)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e12 != op1(e11,e11)
& op1(e10,e10) != e12
& e13 = op1(e12,e13)
& e12 != op1(e13,e13)
& e12 != op1(e12,e12)
& e13 = op1(e13,e12) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f1101,plain,
( ~ spl42_112
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f295,f1032,f1098]) ).
fof(f295,plain,
( ~ sP25
| e20 != op2(e22,e22) ),
inference(cnf_transformation,[],[f79]) ).
fof(f1096,plain,
( spl42_111
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f471,f1051,f1093]) ).
fof(f471,plain,
( ~ sP34
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1091,plain,
( spl42_107
| spl42_108
| spl42_109
| spl42_110 ),
inference(avatar_split_clause,[],[f397,f1088,f1084,f1080,f1076]) ).
fof(f397,plain,
( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1063,plain,
( ~ spl42_103
| spl42_104 ),
inference(avatar_split_clause,[],[f327,f1060,f1056]) ).
fof(f327,plain,
( e20 = op2(e20,e20)
| ~ sP19 ),
inference(cnf_transformation,[],[f85]) ).
fof(f1054,plain,
( spl42_101
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f473,f1051,f1047]) ).
fof(f473,plain,
( ~ sP34
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f100]) ).
fof(f1039,plain,
( ~ spl42_98
| spl42_99 ),
inference(avatar_split_clause,[],[f292,f1036,f1032]) ).
fof(f292,plain,
( e22 = op2(e20,e22)
| ~ sP25 ),
inference(cnf_transformation,[],[f79]) ).
fof(f1030,plain,
( ~ spl42_97
| ~ spl42_39 ),
inference(avatar_split_clause,[],[f502,f774,f1027]) ).
fof(f502,plain,
( ~ sP29
| e11 != op1(e13,e13) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e11 != op1(e13,e13)
& e11 != op1(e12,e12)
& e11 != op1(e11,e11) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f1025,plain,
( spl42_93
| spl42_94
| spl42_95
| spl42_96 ),
inference(avatar_split_clause,[],[f598,f1022,f1018,f1014,f1010]) ).
fof(f598,plain,
( e10 = op1(e10,e11)
| e10 = op1(e13,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f972,plain,
( ~ spl42_74
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f456,f969,f922]) ).
fof(f456,plain,
( e13 != op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f97]) ).
fof(f953,plain,
( spl42_77
| spl42_78
| spl42_79
| spl42_80 ),
inference(avatar_split_clause,[],[f374,f950,f946,f942,f938]) ).
fof(f374,plain,
( e23 = op2(e23,op2(e23,e22))
| e21 = op2(e21,op2(e21,e22))
| e22 = op2(e22,op2(e22,e22))
| e20 = op2(e20,op2(e20,e22)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f907,plain,
( ~ spl42_69
| spl42_70 ),
inference(avatar_split_clause,[],[f476,f904,f900]) ).
fof(f476,plain,
( e10 = op1(e12,e10)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e12 != op1(e12,e12)
& e12 != op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12)
& e12 != op1(e11,e11)
& e10 = op1(e12,e10) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f746,plain,
( spl42_29
| spl42_30
| spl42_31
| spl42_32 ),
inference(avatar_split_clause,[],[f412,f743,f739,f735,f731]) ).
fof(f412,plain,
( e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f729,plain,
( spl42_25
| spl42_26
| spl42_27
| spl42_28 ),
inference(avatar_split_clause,[],[f195,f726,f722,f718,f714]) ).
fof(f195,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f703,plain,
( ~ spl42_21
| ~ spl42_22 ),
inference(avatar_split_clause,[],[f339,f700,f696]) ).
fof(f339,plain,
( ~ sP17
| e20 != op2(e21,e21) ),
inference(cnf_transformation,[],[f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:16:20 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (32381)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.50 % (32373)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.50 % (32360)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (32365)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (32359)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.52 % (32380)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.52 % (32369)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52 % (32365)Instruction limit reached!
% 0.20/0.52 % (32365)------------------------------
% 0.20/0.52 % (32365)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (32365)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (32365)Termination reason: Unknown
% 0.20/0.52 % (32365)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (32365)Memory used [KB]: 1151
% 0.20/0.52 % (32365)Time elapsed: 0.009 s
% 0.20/0.52 % (32365)Instructions burned: 10 (million)
% 0.20/0.52 % (32365)------------------------------
% 0.20/0.52 % (32365)------------------------------
% 0.20/0.52 % (32384)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53 % (32361)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (32368)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (32376)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (32357)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54 % (32364)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (32386)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 % (32383)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 % (32385)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54 % (32366)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54 % (32388)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54 % (32360)Instruction limit reached!
% 0.20/0.54 % (32360)------------------------------
% 0.20/0.54 % (32360)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (32362)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55 % (32358)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (32382)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55 % (32377)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55 % (32379)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55 % (32374)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 % (32360)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (32360)Termination reason: Unknown
% 0.20/0.55 % (32360)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (32360)Memory used [KB]: 1663
% 0.20/0.55 % (32360)Time elapsed: 0.019 s
% 0.20/0.55 % (32360)Instructions burned: 54 (million)
% 0.20/0.55 % (32360)------------------------------
% 0.20/0.55 % (32360)------------------------------
% 0.20/0.55 % (32378)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.56 % (32375)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.56 % (32372)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (32366)Instruction limit reached!
% 0.20/0.56 % (32366)------------------------------
% 0.20/0.56 % (32366)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (32366)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (32366)Termination reason: Unknown
% 0.20/0.56 % (32366)Termination phase: shuffling
% 0.20/0.56
% 0.20/0.56 % (32366)Memory used [KB]: 1023
% 0.20/0.56 % (32366)Time elapsed: 0.002 s
% 0.20/0.56 % (32366)Instructions burned: 2 (million)
% 0.20/0.56 % (32366)------------------------------
% 0.20/0.56 % (32366)------------------------------
% 0.20/0.56 % (32371)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (32370)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (32367)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.57 % (32359)Instruction limit reached!
% 0.20/0.57 % (32359)------------------------------
% 0.20/0.57 % (32359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (32359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (32359)Termination reason: Unknown
% 0.20/0.57 % (32359)Termination phase: Saturation
% 0.20/0.57
% 0.20/0.57 % (32359)Memory used [KB]: 1279
% 0.20/0.57 % (32359)Time elapsed: 0.018 s
% 0.20/0.57 % (32359)Instructions burned: 39 (million)
% 0.20/0.57 % (32359)------------------------------
% 0.20/0.57 % (32359)------------------------------
% 0.20/0.60 % (32364)Instruction limit reached!
% 0.20/0.60 % (32364)------------------------------
% 0.20/0.60 % (32364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (32364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (32364)Termination reason: Unknown
% 0.20/0.60 % (32364)Termination phase: Finite model building preprocessing
% 0.20/0.60
% 0.20/0.60 % (32364)Memory used [KB]: 2430
% 0.20/0.60 % (32364)Time elapsed: 0.021 s
% 0.20/0.60 % (32364)Instructions burned: 53 (million)
% 0.20/0.60 % (32364)------------------------------
% 0.20/0.60 % (32364)------------------------------
% 0.20/0.60 % (32373)Instruction limit reached!
% 0.20/0.60 % (32373)------------------------------
% 0.20/0.60 % (32373)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (32373)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (32373)Termination reason: Unknown
% 0.20/0.60 % (32373)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (32373)Memory used [KB]: 1791
% 0.20/0.60 % (32373)Time elapsed: 0.052 s
% 0.20/0.60 % (32373)Instructions burned: 77 (million)
% 0.20/0.60 % (32373)------------------------------
% 0.20/0.60 % (32373)------------------------------
% 1.88/0.61 % (32362)Instruction limit reached!
% 1.88/0.61 % (32362)------------------------------
% 1.88/0.61 % (32362)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (32362)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (32362)Termination reason: Unknown
% 1.88/0.61 % (32362)Termination phase: Saturation
% 1.88/0.61
% 1.88/0.61 % (32362)Memory used [KB]: 6908
% 1.88/0.61 % (32362)Time elapsed: 0.193 s
% 1.88/0.61 % (32362)Instructions burned: 48 (million)
% 1.88/0.61 % (32362)------------------------------
% 1.88/0.61 % (32362)------------------------------
% 1.88/0.61 % (32361)Instruction limit reached!
% 1.88/0.61 % (32361)------------------------------
% 1.88/0.61 % (32361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (32361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (32361)Termination reason: Unknown
% 1.88/0.61 % (32361)Termination phase: Saturation
% 1.88/0.61
% 1.88/0.61 % (32361)Memory used [KB]: 6780
% 1.88/0.61 % (32361)Time elapsed: 0.024 s
% 1.88/0.61 % (32361)Instructions burned: 52 (million)
% 1.88/0.61 % (32361)------------------------------
% 1.88/0.61 % (32361)------------------------------
% 1.88/0.61 % (32368)Instruction limit reached!
% 1.88/0.61 % (32368)------------------------------
% 1.88/0.61 % (32368)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.88/0.61 % (32368)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.88/0.61 % (32368)Termination reason: Unknown
% 1.88/0.61 % (32368)Termination phase: Saturation
% 1.88/0.61
% 1.88/0.61 % (32368)Memory used [KB]: 6908
% 1.88/0.61 % (32368)Time elapsed: 0.025 s
% 1.88/0.61 % (32368)Instructions burned: 51 (million)
% 1.88/0.61 % (32368)------------------------------
% 1.88/0.61 % (32368)------------------------------
% 2.02/0.62 % (32369)Instruction limit reached!
% 2.02/0.62 % (32369)------------------------------
% 2.02/0.62 % (32369)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (32369)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (32369)Termination reason: Unknown
% 2.02/0.62 % (32369)Termination phase: Saturation
% 2.02/0.62
% 2.02/0.62 % (32369)Memory used [KB]: 7803
% 2.02/0.62 % (32369)Time elapsed: 0.204 s
% 2.02/0.62 % (32369)Instructions burned: 100 (million)
% 2.02/0.62 % (32369)------------------------------
% 2.02/0.62 % (32369)------------------------------
% 2.05/0.63 % (32358)Instruction limit reached!
% 2.05/0.63 % (32358)------------------------------
% 2.05/0.63 % (32358)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (32358)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (32358)Termination reason: Unknown
% 2.05/0.63 % (32358)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (32358)Memory used [KB]: 6908
% 2.05/0.63 % (32358)Time elapsed: 0.026 s
% 2.05/0.63 % (32358)Instructions burned: 50 (million)
% 2.05/0.63 % (32358)------------------------------
% 2.05/0.63 % (32358)------------------------------
% 2.05/0.63 % (32375)Instruction limit reached!
% 2.05/0.63 % (32375)------------------------------
% 2.05/0.63 % (32375)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (32375)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (32375)Termination reason: Unknown
% 2.05/0.63 % (32375)Termination phase: Finite model building preprocessing
% 2.05/0.63
% 2.05/0.63 % (32375)Memory used [KB]: 2430
% 2.05/0.63 % (32375)Time elapsed: 0.025 s
% 2.05/0.63 % (32375)Instructions burned: 59 (million)
% 2.05/0.63 % (32375)------------------------------
% 2.05/0.63 % (32375)------------------------------
% 2.05/0.63 % (32367)Instruction limit reached!
% 2.05/0.63 % (32367)------------------------------
% 2.05/0.63 % (32367)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.63 % (32437)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.05/0.63 % (32367)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.63 % (32367)Termination reason: Unknown
% 2.05/0.63 % (32367)Termination phase: Saturation
% 2.05/0.63
% 2.05/0.63 % (32367)Memory used [KB]: 1407
% 2.05/0.63 % (32367)Time elapsed: 0.025 s
% 2.05/0.63 % (32367)Instructions burned: 52 (million)
% 2.05/0.63 % (32367)------------------------------
% 2.05/0.63 % (32367)------------------------------
% 2.05/0.65 % (32381)First to succeed.
% 2.05/0.65 % (32384)Instruction limit reached!
% 2.05/0.65 % (32384)------------------------------
% 2.05/0.65 % (32384)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.65 % (32384)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.65 % (32384)Termination reason: Unknown
% 2.05/0.65 % (32384)Termination phase: Saturation
% 2.05/0.65
% 2.05/0.65 % (32384)Memory used [KB]: 7164
% 2.05/0.65 % (32384)Time elapsed: 0.033 s
% 2.05/0.65 % (32384)Instructions burned: 69 (million)
% 2.05/0.65 % (32384)------------------------------
% 2.05/0.65 % (32384)------------------------------
% 2.05/0.66 % (32461)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.05/0.67 % (32372)Instruction limit reached!
% 2.05/0.67 % (32372)------------------------------
% 2.05/0.67 % (32372)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.67 % (32372)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.67 % (32372)Termination reason: Unknown
% 2.05/0.67 % (32372)Termination phase: Saturation
% 2.05/0.67
% 2.05/0.67 % (32372)Memory used [KB]: 7164
% 2.05/0.67 % (32372)Time elapsed: 0.035 s
% 2.05/0.67 % (32372)Instructions burned: 68 (million)
% 2.05/0.67 % (32372)------------------------------
% 2.05/0.67 % (32372)------------------------------
% 2.05/0.69 % (32381)Refutation found. Thanks to Tanya!
% 2.05/0.69 % SZS status Theorem for theBenchmark
% 2.05/0.69 % SZS output start Proof for theBenchmark
% See solution above
% 2.05/0.69 % (32381)------------------------------
% 2.05/0.69 % (32381)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.69 % (32381)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.69 % (32381)Termination reason: Refutation
% 2.05/0.69
% 2.05/0.69 % (32381)Memory used [KB]: 8315
% 2.05/0.69 % (32381)Time elapsed: 0.099 s
% 2.05/0.69 % (32381)Instructions burned: 119 (million)
% 2.05/0.69 % (32381)------------------------------
% 2.05/0.69 % (32381)------------------------------
% 2.05/0.69 % (32351)Success in time 0.331 s
%------------------------------------------------------------------------------