TSTP Solution File: ALG102+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:11:01 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 362
% Syntax : Number of formulae : 1723 ( 325 unt; 0 def)
% Number of atoms : 7884 (4013 equ)
% Maximal formula atoms : 304 ( 4 avg)
% Number of connectives : 8975 (2814 ~;4184 |;1770 &)
% ( 207 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 69 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 347 ( 345 usr; 346 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4750,plain,
$false,
inference(avatar_sat_refutation,[],[f1328,f1351,f1630,f1834,f1908,f1953,f1969,f1980,f1987,f2007,f2028,f2038,f2044,f2056,f2061,f2065,f2070,f2082,f2085,f2087,f2091,f2095,f2118,f2128,f2138,f2148,f2180,f2188,f2193,f2227,f2247,f2264,f2269,f2271,f2276,f2282,f2283,f2292,f2296,f2301,f2303,f2305,f2308,f2312,f2315,f2318,f2319,f2326,f2340,f2350,f2360,f2375,f2388,f2401,f2413,f2420,f2427,f2429,f2436,f2444,f2456,f2468,f2475,f2484,f2492,f2503,f2514,f2524,f2535,f2542,f2555,f2557,f2561,f2563,f2565,f2571,f2575,f2586,f2599,f2605,f2606,f2610,f2612,f2614,f2622,f2632,f2644,f2653,f2662,f2669,f2680,f2687,f2696,f2708,f2721,f2727,f2731,f2733,f2742,f2751,f2766,f2773,f2785,f2792,f2805,f2812,f2821,f2828,f2830,f2838,f2851,f2861,f2868,f2883,f2888,f2893,f3114,f3121,f3133,f3142,f3165,f3177,f3189,f3200,f3207,f3214,f3215,f3222,f3224,f3229,f3231,f3240,f3251,f3258,f3266,f3274,f3284,f3295,f3303,f3308,f3309,f3316,f3324,f3325,f3330,f3331,f3337,f3338,f3348,f3359,f3363,f3365,f3366,f3370,f3371,f3372,f3380,f3386,f3387,f3398,f3407,f3413,f3415,f3422,f3431,f3438,f3446,f3457,f3469,f3473,f3475,f3480,f3482,f3489,f3495,f3496,f3498,f3507,f3517,f3526,f3533,f3543,f3549,f3556,f3562,f3564,f3572,f3579,f3580,f3581,f3587,f3588,f3595,f3603,f3604,f3609,f3614,f3837,f3845,f3854,f3856,f3880,f3886,f3896,f3903,f3910,f3911,f3919,f3920,f3933,f3941,f3948,f3949,f3950,f3972,f3976,f4025,f4072,f4075,f4080,f4103,f4109,f4118,f4138,f4157,f4165,f4172,f4176,f4180,f4185,f4196,f4198,f4204,f4211,f4232,f4240,f4245,f4270,f4277,f4290,f4303,f4304,f4314,f4316,f4319,f4322,f4328,f4339,f4351,f4361,f4383,f4384,f4386,f4388,f4402,f4419,f4427,f4436,f4443,f4474,f4501,f4527,f4540,f4546,f4552,f4557,f4563,f4569,f4575,f4581,f4586,f4592,f4598,f4604,f4609,f4613,f4619,f4621,f4624,f4654,f4675,f4688,f4694,f4702,f4738,f4742,f4745]) ).
fof(f4745,plain,
( ~ spl138_179
| ~ spl138_209 ),
inference(avatar_contradiction_clause,[],[f4744]) ).
fof(f4744,plain,
( $false
| ~ spl138_179
| ~ spl138_209 ),
inference(subsumption_resolution,[],[f2134,f4698]) ).
fof(f4698,plain,
( e12 != op1(e10,e13)
| ~ spl138_209 ),
inference(forward_demodulation,[],[f466,f2275]) ).
fof(f2275,plain,
( op1(e10,e10) = e12
| ~ spl138_209 ),
inference(avatar_component_clause,[],[f2274]) ).
fof(f2274,plain,
( spl138_209
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_209])]) ).
fof(f466,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2134,plain,
( e12 = op1(e10,e13)
| ~ spl138_179 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2133,plain,
( spl138_179
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_179])]) ).
fof(f4742,plain,
( ~ spl138_183
| ~ spl138_185 ),
inference(avatar_contradiction_clause,[],[f4741]) ).
fof(f4741,plain,
( $false
| ~ spl138_183
| ~ spl138_185 ),
inference(subsumption_resolution,[],[f2153,f4704]) ).
fof(f4704,plain,
( e11 != op1(e10,e13)
| ~ spl138_185 ),
inference(forward_demodulation,[],[f459,f2159]) ).
fof(f2159,plain,
( e11 = op1(e12,e13)
| ~ spl138_185 ),
inference(avatar_component_clause,[],[f2158]) ).
fof(f2158,plain,
( spl138_185
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_185])]) ).
fof(f459,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2153,plain,
( e11 = op1(e10,e13)
| ~ spl138_183 ),
inference(avatar_component_clause,[],[f2152]) ).
fof(f2152,plain,
( spl138_183
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_183])]) ).
fof(f4738,plain,
( ~ spl138_193
| ~ spl138_201 ),
inference(avatar_contradiction_clause,[],[f4737]) ).
fof(f4737,plain,
( $false
| ~ spl138_193
| ~ spl138_201 ),
inference(subsumption_resolution,[],[f4736,f419]) ).
fof(f419,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4736,plain,
( e10 = e12
| ~ spl138_193
| ~ spl138_201 ),
inference(forward_demodulation,[],[f2192,f2226]) ).
fof(f2226,plain,
( e10 = op1(e12,e10)
| ~ spl138_201 ),
inference(avatar_component_clause,[],[f2225]) ).
fof(f2225,plain,
( spl138_201
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_201])]) ).
fof(f2192,plain,
( e12 = op1(e12,e10)
| ~ spl138_193 ),
inference(avatar_component_clause,[],[f2191]) ).
fof(f2191,plain,
( spl138_193
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_193])]) ).
fof(f4702,plain,
( ~ spl138_196
| ~ spl138_185 ),
inference(avatar_split_clause,[],[f4701,f2158,f2201]) ).
fof(f2201,plain,
( spl138_196
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_196])]) ).
fof(f4701,plain,
( e11 != op1(e12,e12)
| ~ spl138_185 ),
inference(forward_demodulation,[],[f481,f2159]) ).
fof(f481,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4694,plain,
( ~ spl138_176
| ~ spl138_190 ),
inference(avatar_contradiction_clause,[],[f4693]) ).
fof(f4693,plain,
( $false
| ~ spl138_176
| ~ spl138_190 ),
inference(subsumption_resolution,[],[f4679,f2117]) ).
fof(f2117,plain,
( e13 = op1(e11,e13)
| ~ spl138_176 ),
inference(avatar_component_clause,[],[f2116]) ).
fof(f2116,plain,
( spl138_176
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_176])]) ).
fof(f4679,plain,
( e13 != op1(e11,e13)
| ~ spl138_190 ),
inference(backward_demodulation,[],[f475,f2179]) ).
fof(f2179,plain,
( e13 = op1(e11,e12)
| ~ spl138_190 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2178,plain,
( spl138_190
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_190])]) ).
fof(f475,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4688,plain,
( ~ spl138_175
| ~ spl138_176 ),
inference(avatar_contradiction_clause,[],[f4687]) ).
fof(f4687,plain,
( $false
| ~ spl138_175
| ~ spl138_176 ),
inference(subsumption_resolution,[],[f2117,f4626]) ).
fof(f4626,plain,
( e13 != op1(e11,e13)
| ~ spl138_175 ),
inference(forward_demodulation,[],[f458,f2114]) ).
fof(f2114,plain,
( e13 = op1(e10,e13)
| ~ spl138_175 ),
inference(avatar_component_clause,[],[f2113]) ).
fof(f2113,plain,
( spl138_175
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_175])]) ).
fof(f458,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4675,plain,
( ~ spl138_195
| ~ spl138_194 ),
inference(avatar_split_clause,[],[f4670,f2195,f2198]) ).
fof(f2198,plain,
( spl138_195
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_195])]) ).
fof(f2195,plain,
( spl138_194
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_194])]) ).
fof(f4670,plain,
( e11 != op1(e11,e12)
| ~ spl138_194 ),
inference(backward_demodulation,[],[f452,f2196]) ).
fof(f2196,plain,
( e11 = op1(e10,e12)
| ~ spl138_194 ),
inference(avatar_component_clause,[],[f2195]) ).
fof(f452,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4654,plain,
( ~ spl138_204
| ~ spl138_207 ),
inference(avatar_contradiction_clause,[],[f4653]) ).
fof(f4653,plain,
( $false
| ~ spl138_204
| ~ spl138_207 ),
inference(subsumption_resolution,[],[f4652,f418]) ).
fof(f418,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4652,plain,
( e10 = e11
| ~ spl138_204
| ~ spl138_207 ),
inference(forward_demodulation,[],[f2246,f2263]) ).
fof(f2263,plain,
( e10 = op1(e11,e10)
| ~ spl138_207 ),
inference(avatar_component_clause,[],[f2262]) ).
fof(f2262,plain,
( spl138_207
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_207])]) ).
fof(f2246,plain,
( e11 = op1(e11,e10)
| ~ spl138_204 ),
inference(avatar_component_clause,[],[f2245]) ).
fof(f2245,plain,
( spl138_204
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_204])]) ).
fof(f4624,plain,
spl138_24,
inference(avatar_contradiction_clause,[],[f4623]) ).
fof(f4623,plain,
( $false
| spl138_24 ),
inference(subsumption_resolution,[],[f1327,f436]) ).
fof(f436,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(op2(e21,e21),e21) = h2(e13)
& op2(e21,e21) = h2(e12)
& op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10)
& e21 = h2(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1327,plain,
( e21 != h2(e11)
| spl138_24 ),
inference(avatar_component_clause,[],[f1326]) ).
fof(f1326,plain,
( spl138_24
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_24])]) ).
fof(f4621,plain,
spl138_30,
inference(avatar_contradiction_clause,[],[f4620]) ).
fof(f4620,plain,
( $false
| spl138_30 ),
inference(subsumption_resolution,[],[f1350,f1837]) ).
fof(f1837,plain,
e20 = h2(e10),
inference(backward_demodulation,[],[f1810,f1836]) ).
fof(f1836,plain,
e20 = op2(e23,e23),
inference(forward_demodulation,[],[f1835,f1828]) ).
fof(f1828,plain,
e23 = op2(e22,e21),
inference(backward_demodulation,[],[f1808,f1821]) ).
fof(f1821,plain,
e22 = h2(e12),
inference(backward_demodulation,[],[f438,f537]) ).
fof(f537,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e23 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f438,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f1808,plain,
e23 = op2(h2(e12),e21),
inference(forward_demodulation,[],[f538,f438]) ).
fof(f538,plain,
e23 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f1835,plain,
e20 = op2(op2(e22,e21),op2(e22,e21)),
inference(forward_demodulation,[],[f536,f537]) ).
fof(f536,plain,
e20 = op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f1810,plain,
op2(e23,e23) = h2(e10),
inference(backward_demodulation,[],[f1766,f1809]) ).
fof(f1809,plain,
e23 = h2(e13),
inference(backward_demodulation,[],[f1763,f1808]) ).
fof(f1763,plain,
h2(e13) = op2(h2(e12),e21),
inference(backward_demodulation,[],[f439,f438]) ).
fof(f439,plain,
op2(op2(e21,e21),e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f1766,plain,
h2(e10) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[],[f1765,f1763]) ).
fof(f1765,plain,
h2(e10) = op2(op2(h2(e12),e21),op2(h2(e12),e21)),
inference(forward_demodulation,[],[f437,f438]) ).
fof(f437,plain,
op2(op2(op2(e21,e21),e21),op2(op2(e21,e21),e21)) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f1350,plain,
( e20 != h2(e10)
| spl138_30 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1349,plain,
( spl138_30
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_30])]) ).
fof(f4619,plain,
spl138_106,
inference(avatar_contradiction_clause,[],[f4618]) ).
fof(f4618,plain,
( $false
| spl138_106 ),
inference(subsumption_resolution,[],[f1625,f1809]) ).
fof(f1625,plain,
( e23 != h2(e13)
| spl138_106 ),
inference(avatar_component_clause,[],[f1624]) ).
fof(f1624,plain,
( spl138_106
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_106])]) ).
fof(f4613,plain,
spl138_107,
inference(avatar_contradiction_clause,[],[f4612]) ).
fof(f4612,plain,
( $false
| spl138_107 ),
inference(subsumption_resolution,[],[f1629,f1821]) ).
fof(f1629,plain,
( e22 != h2(e12)
| spl138_107 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f1628,plain,
( spl138_107
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_107])]) ).
fof(f4609,plain,
spl138_104,
inference(avatar_contradiction_clause,[],[f4608]) ).
fof(f4608,plain,
( $false
| spl138_104 ),
inference(subsumption_resolution,[],[f4607,f1836]) ).
fof(f4607,plain,
( e20 != op2(e23,e23)
| spl138_104 ),
inference(forward_demodulation,[],[f4606,f1837]) ).
fof(f4606,plain,
( op2(e23,e23) != h2(e10)
| spl138_104 ),
inference(forward_demodulation,[],[f4605,f1864]) ).
fof(f1864,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[],[f1863,f1857]) ).
fof(f1857,plain,
e13 = op1(e12,e11),
inference(backward_demodulation,[],[f541,f540]) ).
fof(f540,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f541,plain,
e13 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f1863,plain,
e10 = op1(op1(e12,e11),op1(e12,e11)),
inference(forward_demodulation,[],[f539,f540]) ).
fof(f539,plain,
e10 = op1(op1(op1(e11,e11),e11),op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f4605,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl138_104 ),
inference(forward_demodulation,[],[f1617,f1809]) ).
fof(f1617,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl138_104 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1616,plain,
( spl138_104
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_104])]) ).
fof(f4604,plain,
( spl138_103
| ~ spl138_139
| ~ spl138_178 ),
inference(avatar_contradiction_clause,[],[f4603]) ).
fof(f4603,plain,
( $false
| spl138_103
| ~ spl138_139
| ~ spl138_178 ),
inference(subsumption_resolution,[],[f4602,f1888]) ).
fof(f1888,plain,
( e23 = op2(e23,e22)
| ~ spl138_139 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1887,plain,
( spl138_139
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_139])]) ).
fof(f4602,plain,
( e23 != op2(e23,e22)
| spl138_103
| ~ spl138_178 ),
inference(forward_demodulation,[],[f4601,f1809]) ).
fof(f4601,plain,
( op2(e23,e22) != h2(e13)
| spl138_103
| ~ spl138_178 ),
inference(forward_demodulation,[],[f4600,f2127]) ).
fof(f2127,plain,
( e13 = op1(e13,e12)
| ~ spl138_178 ),
inference(avatar_component_clause,[],[f2126]) ).
fof(f2126,plain,
( spl138_178
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_178])]) ).
fof(f4600,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| spl138_103 ),
inference(forward_demodulation,[],[f4599,f1809]) ).
fof(f4599,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| spl138_103 ),
inference(forward_demodulation,[],[f1614,f1821]) ).
fof(f1614,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl138_103 ),
inference(avatar_component_clause,[],[f1613]) ).
fof(f1613,plain,
( spl138_103
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_103])]) ).
fof(f4598,plain,
( spl138_102
| ~ spl138_146
| ~ spl138_187 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4597,plain,
( $false
| spl138_102
| ~ spl138_146
| ~ spl138_187 ),
inference(subsumption_resolution,[],[f4596,f1927]) ).
fof(f1927,plain,
( e21 = op2(e23,e21)
| ~ spl138_146 ),
inference(avatar_component_clause,[],[f1926]) ).
fof(f1926,plain,
( spl138_146
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_146])]) ).
fof(f4596,plain,
( e21 != op2(e23,e21)
| spl138_102
| ~ spl138_187 ),
inference(forward_demodulation,[],[f4595,f436]) ).
fof(f4595,plain,
( op2(e23,e21) != h2(e11)
| spl138_102
| ~ spl138_187 ),
inference(forward_demodulation,[],[f4594,f2168]) ).
fof(f2168,plain,
( e11 = op1(e13,e11)
| ~ spl138_187 ),
inference(avatar_component_clause,[],[f2167]) ).
fof(f2167,plain,
( spl138_187
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_187])]) ).
fof(f4594,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| spl138_102 ),
inference(forward_demodulation,[],[f4593,f1809]) ).
fof(f4593,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl138_102 ),
inference(forward_demodulation,[],[f1611,f436]) ).
fof(f1611,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl138_102 ),
inference(avatar_component_clause,[],[f1610]) ).
fof(f1610,plain,
( spl138_102
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_102])]) ).
fof(f4592,plain,
( spl138_101
| ~ spl138_141
| ~ spl138_181 ),
inference(avatar_contradiction_clause,[],[f4591]) ).
fof(f4591,plain,
( $false
| spl138_101
| ~ spl138_141
| ~ spl138_181 ),
inference(subsumption_resolution,[],[f4590,f1904]) ).
fof(f1904,plain,
( e22 = op2(e23,e20)
| ~ spl138_141 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1903,plain,
( spl138_141
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_141])]) ).
fof(f4590,plain,
( e22 != op2(e23,e20)
| spl138_101
| ~ spl138_181 ),
inference(forward_demodulation,[],[f4589,f1821]) ).
fof(f4589,plain,
( op2(e23,e20) != h2(e12)
| spl138_101
| ~ spl138_181 ),
inference(forward_demodulation,[],[f4588,f2144]) ).
fof(f2144,plain,
( e12 = op1(e13,e10)
| ~ spl138_181 ),
inference(avatar_component_clause,[],[f2143]) ).
fof(f2143,plain,
( spl138_181
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_181])]) ).
fof(f4588,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| spl138_101 ),
inference(forward_demodulation,[],[f4587,f1809]) ).
fof(f4587,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl138_101 ),
inference(forward_demodulation,[],[f1608,f1837]) ).
fof(f1608,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl138_101 ),
inference(avatar_component_clause,[],[f1607]) ).
fof(f1607,plain,
( spl138_101
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_101])]) ).
fof(f4586,plain,
( spl138_99
| ~ spl138_168
| ~ spl138_196 ),
inference(avatar_contradiction_clause,[],[f4585]) ).
fof(f4585,plain,
( $false
| spl138_99
| ~ spl138_168
| ~ spl138_196 ),
inference(subsumption_resolution,[],[f4584,f2073]) ).
fof(f2073,plain,
( e21 = op2(e22,e22)
| ~ spl138_168 ),
inference(avatar_component_clause,[],[f2072]) ).
fof(f2072,plain,
( spl138_168
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_168])]) ).
fof(f4584,plain,
( e21 != op2(e22,e22)
| spl138_99
| ~ spl138_196 ),
inference(forward_demodulation,[],[f4583,f436]) ).
fof(f4583,plain,
( op2(e22,e22) != h2(e11)
| spl138_99
| ~ spl138_196 ),
inference(forward_demodulation,[],[f4582,f2202]) ).
fof(f2202,plain,
( e11 = op1(e12,e12)
| ~ spl138_196 ),
inference(avatar_component_clause,[],[f2201]) ).
fof(f4582,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| spl138_99 ),
inference(forward_demodulation,[],[f1602,f1821]) ).
fof(f1602,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl138_99 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1601,plain,
( spl138_99
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_99])]) ).
fof(f4581,plain,
spl138_98,
inference(avatar_contradiction_clause,[],[f4580]) ).
fof(f4580,plain,
( $false
| spl138_98 ),
inference(subsumption_resolution,[],[f4579,f1828]) ).
fof(f4579,plain,
( e23 != op2(e22,e21)
| spl138_98 ),
inference(forward_demodulation,[],[f4578,f1809]) ).
fof(f4578,plain,
( op2(e22,e21) != h2(e13)
| spl138_98 ),
inference(forward_demodulation,[],[f4577,f1857]) ).
fof(f4577,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| spl138_98 ),
inference(forward_demodulation,[],[f4576,f1821]) ).
fof(f4576,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl138_98 ),
inference(forward_demodulation,[],[f1599,f436]) ).
fof(f1599,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl138_98 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f1598,plain,
( spl138_98
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_98])]) ).
fof(f4575,plain,
( spl138_97
| ~ spl138_158
| ~ spl138_201 ),
inference(avatar_contradiction_clause,[],[f4574]) ).
fof(f4574,plain,
( $false
| spl138_97
| ~ spl138_158
| ~ spl138_201 ),
inference(subsumption_resolution,[],[f4573,f1986]) ).
fof(f1986,plain,
( e20 = op2(e22,e20)
| ~ spl138_158 ),
inference(avatar_component_clause,[],[f1985]) ).
fof(f1985,plain,
( spl138_158
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_158])]) ).
fof(f4573,plain,
( e20 != op2(e22,e20)
| spl138_97
| ~ spl138_201 ),
inference(forward_demodulation,[],[f4572,f1837]) ).
fof(f4572,plain,
( op2(e22,e20) != h2(e10)
| spl138_97
| ~ spl138_201 ),
inference(forward_demodulation,[],[f4571,f2226]) ).
fof(f4571,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| spl138_97 ),
inference(forward_demodulation,[],[f4570,f1821]) ).
fof(f4570,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl138_97 ),
inference(forward_demodulation,[],[f1596,f1837]) ).
fof(f1596,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl138_97 ),
inference(avatar_component_clause,[],[f1595]) ).
fof(f1595,plain,
( spl138_97
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_97])]) ).
fof(f4569,plain,
( spl138_96
| ~ spl138_143
| ~ spl138_184 ),
inference(avatar_contradiction_clause,[],[f4568]) ).
fof(f4568,plain,
( $false
| spl138_96
| ~ spl138_143
| ~ spl138_184 ),
inference(subsumption_resolution,[],[f4567,f1914]) ).
fof(f1914,plain,
( e21 = op2(e21,e23)
| ~ spl138_143 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1913,plain,
( spl138_143
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_143])]) ).
fof(f4567,plain,
( e21 != op2(e21,e23)
| spl138_96
| ~ spl138_184 ),
inference(forward_demodulation,[],[f4566,f436]) ).
fof(f4566,plain,
( op2(e21,e23) != h2(e11)
| spl138_96
| ~ spl138_184 ),
inference(forward_demodulation,[],[f4565,f2156]) ).
fof(f2156,plain,
( e11 = op1(e11,e13)
| ~ spl138_184 ),
inference(avatar_component_clause,[],[f2155]) ).
fof(f2155,plain,
( spl138_184
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_184])]) ).
fof(f4565,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| spl138_96 ),
inference(forward_demodulation,[],[f4564,f436]) ).
fof(f4564,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl138_96 ),
inference(forward_demodulation,[],[f1593,f1809]) ).
fof(f1593,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl138_96 ),
inference(avatar_component_clause,[],[f1592]) ).
fof(f1592,plain,
( spl138_96
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_96])]) ).
fof(f4563,plain,
( spl138_95
| ~ spl138_156
| ~ spl138_199 ),
inference(avatar_contradiction_clause,[],[f4562]) ).
fof(f4562,plain,
( $false
| spl138_95
| ~ spl138_156
| ~ spl138_199 ),
inference(subsumption_resolution,[],[f4561,f1976]) ).
fof(f1976,plain,
( e20 = op2(e21,e22)
| ~ spl138_156 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1975,plain,
( spl138_156
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_156])]) ).
fof(f4561,plain,
( e20 != op2(e21,e22)
| spl138_95
| ~ spl138_199 ),
inference(forward_demodulation,[],[f4560,f1837]) ).
fof(f4560,plain,
( op2(e21,e22) != h2(e10)
| spl138_95
| ~ spl138_199 ),
inference(forward_demodulation,[],[f4559,f2216]) ).
fof(f2216,plain,
( e10 = op1(e11,e12)
| ~ spl138_199 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2215,plain,
( spl138_199
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_199])]) ).
fof(f4559,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| spl138_95 ),
inference(forward_demodulation,[],[f4558,f436]) ).
fof(f4558,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| spl138_95 ),
inference(forward_demodulation,[],[f1590,f1821]) ).
fof(f1590,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl138_95 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1589,plain,
( spl138_95
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_95])]) ).
fof(f4557,plain,
spl138_94,
inference(avatar_contradiction_clause,[],[f4556]) ).
fof(f4556,plain,
( $false
| spl138_94 ),
inference(subsumption_resolution,[],[f4555,f537]) ).
fof(f4555,plain,
( e22 != op2(e21,e21)
| spl138_94 ),
inference(forward_demodulation,[],[f4554,f1821]) ).
fof(f4554,plain,
( op2(e21,e21) != h2(e12)
| spl138_94 ),
inference(forward_demodulation,[],[f4553,f540]) ).
fof(f4553,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| spl138_94 ),
inference(forward_demodulation,[],[f1587,f436]) ).
fof(f1587,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl138_94 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1586,plain,
( spl138_94
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_94])]) ).
fof(f4552,plain,
( spl138_93
| ~ spl138_159
| ~ spl138_202 ),
inference(avatar_contradiction_clause,[],[f4551]) ).
fof(f4551,plain,
( $false
| spl138_93
| ~ spl138_159
| ~ spl138_202 ),
inference(subsumption_resolution,[],[f4550,f1992]) ).
fof(f1992,plain,
( e23 = op2(e21,e20)
| ~ spl138_159 ),
inference(avatar_component_clause,[],[f1991]) ).
fof(f1991,plain,
( spl138_159
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_159])]) ).
fof(f4550,plain,
( e23 != op2(e21,e20)
| spl138_93
| ~ spl138_202 ),
inference(forward_demodulation,[],[f4549,f1809]) ).
fof(f4549,plain,
( op2(e21,e20) != h2(e13)
| spl138_93
| ~ spl138_202 ),
inference(forward_demodulation,[],[f4548,f2232]) ).
fof(f2232,plain,
( e13 = op1(e11,e10)
| ~ spl138_202 ),
inference(avatar_component_clause,[],[f2231]) ).
fof(f2231,plain,
( spl138_202
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_202])]) ).
fof(f4548,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl138_93 ),
inference(forward_demodulation,[],[f4547,f436]) ).
fof(f4547,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl138_93 ),
inference(forward_demodulation,[],[f1584,f1837]) ).
fof(f1584,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl138_93 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1583,plain,
( spl138_93
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_93])]) ).
fof(f4546,plain,
( spl138_91
| ~ spl138_150
| ~ spl138_191 ),
inference(avatar_contradiction_clause,[],[f4545]) ).
fof(f4545,plain,
( $false
| spl138_91
| ~ spl138_150
| ~ spl138_191 ),
inference(subsumption_resolution,[],[f4544,f1945]) ).
fof(f1945,plain,
( e22 = op2(e20,e22)
| ~ spl138_150 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f1944,plain,
( spl138_150
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_150])]) ).
fof(f4544,plain,
( e22 != op2(e20,e22)
| spl138_91
| ~ spl138_191 ),
inference(forward_demodulation,[],[f4543,f1821]) ).
fof(f4543,plain,
( op2(e20,e22) != h2(e12)
| spl138_91
| ~ spl138_191 ),
inference(forward_demodulation,[],[f4542,f2184]) ).
fof(f2184,plain,
( e12 = op1(e10,e12)
| ~ spl138_191 ),
inference(avatar_component_clause,[],[f2183]) ).
fof(f2183,plain,
( spl138_191
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_191])]) ).
fof(f4542,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| spl138_91 ),
inference(forward_demodulation,[],[f4541,f1837]) ).
fof(f4541,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| spl138_91 ),
inference(forward_demodulation,[],[f1578,f1821]) ).
fof(f1578,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl138_91 ),
inference(avatar_component_clause,[],[f1577]) ).
fof(f1577,plain,
( spl138_91
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_91])]) ).
fof(f4540,plain,
( spl138_90
| ~ spl138_162
| ~ spl138_205 ),
inference(avatar_contradiction_clause,[],[f4539]) ).
fof(f4539,plain,
( $false
| spl138_90
| ~ spl138_162
| ~ spl138_205 ),
inference(subsumption_resolution,[],[f4538,f2013]) ).
fof(f2013,plain,
( e20 = op2(e20,e21)
| ~ spl138_162 ),
inference(avatar_component_clause,[],[f2012]) ).
fof(f2012,plain,
( spl138_162
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_162])]) ).
fof(f4538,plain,
( e20 != op2(e20,e21)
| spl138_90
| ~ spl138_205 ),
inference(forward_demodulation,[],[f4537,f1837]) ).
fof(f4537,plain,
( op2(e20,e21) != h2(e10)
| spl138_90
| ~ spl138_205 ),
inference(forward_demodulation,[],[f4536,f2253]) ).
fof(f2253,plain,
( e10 = op1(e10,e11)
| ~ spl138_205 ),
inference(avatar_component_clause,[],[f2252]) ).
fof(f2252,plain,
( spl138_205
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_205])]) ).
fof(f4536,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl138_90 ),
inference(forward_demodulation,[],[f4535,f1837]) ).
fof(f4535,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| spl138_90 ),
inference(forward_demodulation,[],[f1575,f436]) ).
fof(f1575,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl138_90 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl138_90
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_90])]) ).
fof(f4527,plain,
( spl138_100
| ~ spl138_140
| ~ spl138_180 ),
inference(avatar_contradiction_clause,[],[f4526]) ).
fof(f4526,plain,
( $false
| spl138_100
| ~ spl138_140
| ~ spl138_180 ),
inference(subsumption_resolution,[],[f4525,f1896]) ).
fof(f1896,plain,
( e22 = op2(e22,e23)
| ~ spl138_140 ),
inference(avatar_component_clause,[],[f1895]) ).
fof(f1895,plain,
( spl138_140
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_140])]) ).
fof(f4525,plain,
( e22 != op2(e22,e23)
| spl138_100
| ~ spl138_180 ),
inference(forward_demodulation,[],[f4524,f1821]) ).
fof(f4524,plain,
( op2(e22,e23) != h2(e12)
| spl138_100
| ~ spl138_180 ),
inference(forward_demodulation,[],[f4523,f2137]) ).
fof(f2137,plain,
( e12 = op1(e12,e13)
| ~ spl138_180 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2136,plain,
( spl138_180
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_180])]) ).
fof(f4523,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| spl138_100 ),
inference(forward_demodulation,[],[f4522,f1821]) ).
fof(f4522,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl138_100 ),
inference(forward_demodulation,[],[f1605,f1809]) ).
fof(f1605,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl138_100 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl138_100
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_100])]) ).
fof(f4501,plain,
( spl138_92
| ~ spl138_165
| ~ spl138_175 ),
inference(avatar_contradiction_clause,[],[f4500]) ).
fof(f4500,plain,
( $false
| spl138_92
| ~ spl138_165
| ~ spl138_175 ),
inference(subsumption_resolution,[],[f4499,f2033]) ).
fof(f2033,plain,
( e23 = op2(e20,e23)
| ~ spl138_165 ),
inference(avatar_component_clause,[],[f2032]) ).
fof(f2032,plain,
( spl138_165
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_165])]) ).
fof(f4499,plain,
( e23 != op2(e20,e23)
| spl138_92
| ~ spl138_175 ),
inference(forward_demodulation,[],[f4498,f1809]) ).
fof(f4498,plain,
( op2(e20,e23) != h2(e13)
| spl138_92
| ~ spl138_175 ),
inference(forward_demodulation,[],[f4497,f2114]) ).
fof(f4497,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| spl138_92 ),
inference(forward_demodulation,[],[f4496,f1837]) ).
fof(f4496,plain,
( h2(op1(e10,e13)) != op2(h2(e10),e23)
| spl138_92 ),
inference(forward_demodulation,[],[f1581,f1809]) ).
fof(f1581,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl138_92 ),
inference(avatar_component_clause,[],[f1580]) ).
fof(f1580,plain,
( spl138_92
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_92])]) ).
fof(f4474,plain,
( spl138_168
| ~ spl138_13 ),
inference(avatar_split_clause,[],[f4473,f1284,f2072]) ).
fof(f1284,plain,
( spl138_13
<=> e21 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_13])]) ).
fof(f4473,plain,
( e21 = op2(e22,e22)
| ~ spl138_13 ),
inference(forward_demodulation,[],[f434,f1961]) ).
fof(f1961,plain,
( e21 = h3(e12)
| ~ spl138_13 ),
inference(avatar_component_clause,[],[f1284]) ).
fof(f434,plain,
op2(e22,e22) = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(op2(e22,e22),e22) = h3(e13)
& op2(e22,e22) = h3(e12)
& h3(e10) = op2(op2(op2(e22,e22),e22),op2(op2(e22,e22),e22))
& e22 = h3(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4443,plain,
( ~ spl138_58
| ~ spl138_137 ),
inference(avatar_split_clause,[],[f4441,f1876,f1444]) ).
fof(f1444,plain,
( spl138_58
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_58])]) ).
fof(f1876,plain,
( spl138_137
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_137])]) ).
fof(f4441,plain,
( e23 != h4(e13)
| ~ spl138_137 ),
inference(backward_demodulation,[],[f1846,f1877]) ).
fof(f1877,plain,
( e23 = op2(e21,e23)
| ~ spl138_137 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1846,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[],[f506,f1839]) ).
fof(f1839,plain,
op2(e20,e23) = h4(e13),
inference(backward_demodulation,[],[f1812,f1837]) ).
fof(f1812,plain,
h4(e13) = op2(h2(e10),e23),
inference(backward_demodulation,[],[f1750,f1811]) ).
fof(f1811,plain,
h2(e10) = h4(e12),
inference(backward_demodulation,[],[f426,f1810]) ).
fof(f426,plain,
op2(e23,e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(op2(e23,e23),e23) = h4(e13)
& op2(e23,e23) = h4(e12)
& h4(e10) = op2(op2(op2(e23,e23),e23),op2(op2(e23,e23),e23))
& e23 = h4(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1750,plain,
h4(e13) = op2(h4(e12),e23),
inference(backward_demodulation,[],[f427,f426]) ).
fof(f427,plain,
op2(op2(e23,e23),e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f506,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4436,plain,
( ~ spl138_13
| ~ spl138_144 ),
inference(avatar_split_clause,[],[f4432,f1916,f1284]) ).
fof(f1916,plain,
( spl138_144
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_144])]) ).
fof(f4432,plain,
( e21 != h3(e12)
| ~ spl138_144 ),
inference(backward_demodulation,[],[f1780,f1917]) ).
fof(f1917,plain,
( e21 = op2(e22,e23)
| ~ spl138_144 ),
inference(avatar_component_clause,[],[f1916]) ).
fof(f1780,plain,
op2(e22,e23) != h3(e12),
inference(forward_demodulation,[],[f529,f434]) ).
fof(f529,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4427,plain,
( ~ spl138_151
| ~ spl138_158 ),
inference(avatar_contradiction_clause,[],[f4426]) ).
fof(f4426,plain,
( $false
| ~ spl138_151
| ~ spl138_158 ),
inference(subsumption_resolution,[],[f4425,f397]) ).
fof(f397,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4425,plain,
( e20 = e22
| ~ spl138_151
| ~ spl138_158 ),
inference(forward_demodulation,[],[f1952,f1986]) ).
fof(f1952,plain,
( e22 = op2(e22,e20)
| ~ spl138_151 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1951,plain,
( spl138_151
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_151])]) ).
fof(f4419,plain,
( ~ spl138_18
| ~ spl138_158 ),
inference(avatar_split_clause,[],[f4418,f1985,f1303]) ).
fof(f1303,plain,
( spl138_18
<=> e20 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_18])]) ).
fof(f4418,plain,
( e20 != h3(e12)
| ~ spl138_158 ),
inference(backward_demodulation,[],[f1783,f1986]) ).
fof(f1783,plain,
op2(e22,e20) != h3(e12),
inference(forward_demodulation,[],[f525,f434]) ).
fof(f525,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4402,plain,
( spl138_13
| ~ spl138_168 ),
inference(avatar_split_clause,[],[f4401,f2072,f1284]) ).
fof(f4401,plain,
( e21 = h3(e12)
| ~ spl138_168 ),
inference(backward_demodulation,[],[f434,f2073]) ).
fof(f4388,plain,
( ~ spl138_204
| ~ spl138_210 ),
inference(avatar_split_clause,[],[f4387,f2280,f2245]) ).
fof(f2280,plain,
( spl138_210
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_210])]) ).
fof(f4387,plain,
( e11 != op1(e11,e10)
| ~ spl138_210 ),
inference(forward_demodulation,[],[f440,f2281]) ).
fof(f2281,plain,
( op1(e10,e10) = e11
| ~ spl138_210 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f440,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4386,plain,
( ~ spl138_200
| ~ spl138_199 ),
inference(avatar_split_clause,[],[f4385,f2215,f2218]) ).
fof(f2218,plain,
( spl138_200
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_200])]) ).
fof(f4385,plain,
( e10 != op1(e12,e12)
| ~ spl138_199 ),
inference(forward_demodulation,[],[f455,f2216]) ).
fof(f455,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4384,plain,
( ~ spl138_192
| ~ spl138_180 ),
inference(avatar_split_clause,[],[f4296,f2136,f2186]) ).
fof(f2186,plain,
( spl138_192
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_192])]) ).
fof(f4296,plain,
( e12 != op1(e12,e12)
| ~ spl138_180 ),
inference(forward_demodulation,[],[f481,f2137]) ).
fof(f4383,plain,
( ~ spl138_192
| ~ spl138_191 ),
inference(avatar_split_clause,[],[f4382,f2183,f2186]) ).
fof(f4382,plain,
( e12 != op1(e12,e12)
| ~ spl138_191 ),
inference(forward_demodulation,[],[f453,f2184]) ).
fof(f453,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4361,plain,
( ~ spl138_138
| ~ spl138_141 ),
inference(avatar_contradiction_clause,[],[f4360]) ).
fof(f4360,plain,
( $false
| ~ spl138_138
| ~ spl138_141 ),
inference(subsumption_resolution,[],[f4359,f401]) ).
fof(f401,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4359,plain,
( e22 = e23
| ~ spl138_138
| ~ spl138_141 ),
inference(backward_demodulation,[],[f1885,f1904]) ).
fof(f1885,plain,
( e23 = op2(e23,e20)
| ~ spl138_138 ),
inference(avatar_component_clause,[],[f1884]) ).
fof(f1884,plain,
( spl138_138
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_138])]) ).
fof(f4351,plain,
( ~ spl138_146
| ~ spl138_147 ),
inference(avatar_contradiction_clause,[],[f4350]) ).
fof(f4350,plain,
( $false
| ~ spl138_146
| ~ spl138_147 ),
inference(subsumption_resolution,[],[f1930,f3964]) ).
fof(f3964,plain,
( e21 != op2(e23,e22)
| ~ spl138_146 ),
inference(backward_demodulation,[],[f533,f1927]) ).
fof(f533,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1930,plain,
( e21 = op2(e23,e22)
| ~ spl138_147 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f1929,plain,
( spl138_147
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_147])]) ).
fof(f4339,plain,
( ~ spl138_33
| ~ spl138_154 ),
inference(avatar_split_clause,[],[f4335,f1967,f1360]) ).
fof(f1360,plain,
( spl138_33
<=> e21 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_33])]) ).
fof(f1967,plain,
( spl138_154
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_154])]) ).
fof(f4335,plain,
( e21 != h1(e12)
| ~ spl138_154 ),
inference(backward_demodulation,[],[f1806,f1968]) ).
fof(f1968,plain,
( e21 = op2(e22,e20)
| ~ spl138_154 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f1806,plain,
op2(e22,e20) != h1(e12),
inference(forward_demodulation,[],[f489,f430]) ).
fof(f430,plain,
op2(e20,e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(op2(e20,e20),e20) = h1(e13)
& op2(e20,e20) = h1(e12)
& h1(e10) = op2(op2(op2(e20,e20),e20),op2(op2(e20,e20),e20))
& e20 = h1(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f489,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4328,plain,
( ~ spl138_33
| ~ spl138_167 ),
inference(avatar_split_clause,[],[f4326,f2050,f1360]) ).
fof(f2050,plain,
( spl138_167
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_167])]) ).
fof(f4326,plain,
( e21 != h1(e12)
| ~ spl138_167 ),
inference(backward_demodulation,[],[f1789,f2051]) ).
fof(f2051,plain,
( e21 = op2(e20,e23)
| ~ spl138_167 ),
inference(avatar_component_clause,[],[f2050]) ).
fof(f1789,plain,
op2(e20,e23) != h1(e12),
inference(forward_demodulation,[],[f514,f430]) ).
fof(f514,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4322,plain,
( ~ spl138_176
| ~ spl138_184 ),
inference(avatar_contradiction_clause,[],[f4321]) ).
fof(f4321,plain,
( $false
| ~ spl138_176
| ~ spl138_184 ),
inference(subsumption_resolution,[],[f4320,f422]) ).
fof(f422,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4320,plain,
( e11 = e13
| ~ spl138_176
| ~ spl138_184 ),
inference(forward_demodulation,[],[f2117,f2156]) ).
fof(f4319,plain,
( ~ spl138_177
| ~ spl138_181 ),
inference(avatar_contradiction_clause,[],[f4318]) ).
fof(f4318,plain,
( $false
| ~ spl138_177
| ~ spl138_181 ),
inference(subsumption_resolution,[],[f4317,f423]) ).
fof(f423,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4317,plain,
( e12 = e13
| ~ spl138_177
| ~ spl138_181 ),
inference(forward_demodulation,[],[f2124,f2144]) ).
fof(f2124,plain,
( e13 = op1(e13,e10)
| ~ spl138_177 ),
inference(avatar_component_clause,[],[f2123]) ).
fof(f2123,plain,
( spl138_177
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_177])]) ).
fof(f4316,plain,
( ~ spl138_184
| ~ spl138_185 ),
inference(avatar_contradiction_clause,[],[f4315]) ).
fof(f4315,plain,
( $false
| ~ spl138_184
| ~ spl138_185 ),
inference(subsumption_resolution,[],[f2159,f3889]) ).
fof(f3889,plain,
( e11 != op1(e12,e13)
| ~ spl138_184 ),
inference(backward_demodulation,[],[f461,f2156]) ).
fof(f461,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4314,plain,
( ~ spl138_187
| ~ spl138_188 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
fof(f4313,plain,
( $false
| ~ spl138_187
| ~ spl138_188 ),
inference(subsumption_resolution,[],[f2171,f3884]) ).
fof(f3884,plain,
( e11 != op1(e13,e12)
| ~ spl138_187 ),
inference(backward_demodulation,[],[f485,f2168]) ).
fof(f485,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2171,plain,
( e11 = op1(e13,e12)
| ~ spl138_188 ),
inference(avatar_component_clause,[],[f2170]) ).
fof(f2170,plain,
( spl138_188
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_188])]) ).
fof(f4304,plain,
( ~ spl138_193
| ~ spl138_180 ),
inference(avatar_split_clause,[],[f4200,f2136,f2191]) ).
fof(f4200,plain,
( e12 != op1(e12,e10)
| ~ spl138_180 ),
inference(forward_demodulation,[],[f478,f2137]) ).
fof(f478,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4303,plain,
( ~ spl138_193
| ~ spl138_181 ),
inference(avatar_split_clause,[],[f4205,f2143,f2191]) ).
fof(f4205,plain,
( e12 != op1(e12,e10)
| ~ spl138_181 ),
inference(forward_demodulation,[],[f445,f2144]) ).
fof(f445,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4290,plain,
( spl138_172
| ~ spl138_162
| ~ spl138_223 ),
inference(avatar_split_clause,[],[f4250,f2386,f2012,f2100]) ).
fof(f2100,plain,
( spl138_172
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_172])]) ).
fof(f2386,plain,
( spl138_223
<=> e21 = op2(e20,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_223])]) ).
fof(f4250,plain,
( op2(e20,e20) = e21
| ~ spl138_162
| ~ spl138_223 ),
inference(backward_demodulation,[],[f2387,f2013]) ).
fof(f2387,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ spl138_223 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f4277,plain,
( ~ spl138_33
| ~ spl138_131 ),
inference(avatar_contradiction_clause,[],[f4276]) ).
fof(f4276,plain,
( $false
| ~ spl138_33
| ~ spl138_131 ),
inference(subsumption_resolution,[],[f4275,f399]) ).
fof(f399,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f4275,plain,
( e21 = e22
| ~ spl138_33
| ~ spl138_131 ),
inference(backward_demodulation,[],[f2037,f2046]) ).
fof(f2046,plain,
( e21 = h1(e12)
| ~ spl138_33 ),
inference(avatar_component_clause,[],[f1360]) ).
fof(f2037,plain,
( e22 = h1(e12)
| ~ spl138_131 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1718,plain,
( spl138_131
<=> e22 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_131])]) ).
fof(f4270,plain,
( ~ spl138_137
| ~ spl138_149 ),
inference(avatar_contradiction_clause,[],[f4269]) ).
fof(f4269,plain,
( $false
| ~ spl138_137
| ~ spl138_149 ),
inference(subsumption_resolution,[],[f1877,f4174]) ).
fof(f4174,plain,
( e23 != op2(e21,e23)
| ~ spl138_149 ),
inference(forward_demodulation,[],[f523,f1938]) ).
fof(f1938,plain,
( e23 = op2(e21,e22)
| ~ spl138_149 ),
inference(avatar_component_clause,[],[f1937]) ).
fof(f1937,plain,
( spl138_149
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_149])]) ).
fof(f523,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4245,plain,
( spl138_33
| ~ spl138_172 ),
inference(avatar_split_clause,[],[f4244,f2100,f1360]) ).
fof(f4244,plain,
( e21 = h1(e12)
| ~ spl138_172 ),
inference(backward_demodulation,[],[f430,f2101]) ).
fof(f2101,plain,
( op2(e20,e20) = e21
| ~ spl138_172 ),
inference(avatar_component_clause,[],[f2100]) ).
fof(f4240,plain,
( ~ spl138_196
| ~ spl138_200 ),
inference(avatar_contradiction_clause,[],[f4239]) ).
fof(f4239,plain,
( $false
| ~ spl138_196
| ~ spl138_200 ),
inference(subsumption_resolution,[],[f4238,f418]) ).
fof(f4238,plain,
( e10 = e11
| ~ spl138_196
| ~ spl138_200 ),
inference(backward_demodulation,[],[f2202,f2219]) ).
fof(f2219,plain,
( e10 = op1(e12,e12)
| ~ spl138_200 ),
inference(avatar_component_clause,[],[f2218]) ).
fof(f4232,plain,
( ~ spl138_33
| spl138_89
| ~ spl138_210 ),
inference(avatar_split_clause,[],[f4231,f2280,f1571,f1360]) ).
fof(f1571,plain,
( spl138_89
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_89])]) ).
fof(f4231,plain,
( e21 != h1(e12)
| spl138_89
| ~ spl138_210 ),
inference(forward_demodulation,[],[f4222,f436]) ).
fof(f4222,plain,
( h1(e12) != h2(e11)
| spl138_89
| ~ spl138_210 ),
inference(backward_demodulation,[],[f4186,f2281]) ).
fof(f4186,plain,
( h1(e12) != h2(op1(e10,e10))
| spl138_89 ),
inference(backward_demodulation,[],[f3994,f430]) ).
fof(f3994,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl138_89 ),
inference(forward_demodulation,[],[f1572,f1837]) ).
fof(f1572,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl138_89 ),
inference(avatar_component_clause,[],[f1571]) ).
fof(f4211,plain,
( ~ spl138_209
| ~ spl138_191 ),
inference(avatar_split_clause,[],[f4210,f2183,f2274]) ).
fof(f4210,plain,
( op1(e10,e10) != e12
| ~ spl138_191 ),
inference(forward_demodulation,[],[f465,f2184]) ).
fof(f465,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4204,plain,
( ~ spl138_196
| ~ spl138_197 ),
inference(avatar_contradiction_clause,[],[f4203]) ).
fof(f4203,plain,
( $false
| ~ spl138_196
| ~ spl138_197 ),
inference(subsumption_resolution,[],[f4202,f2208]) ).
fof(f2208,plain,
( e11 = op1(e12,e10)
| ~ spl138_197 ),
inference(avatar_component_clause,[],[f2207]) ).
fof(f2207,plain,
( spl138_197
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_197])]) ).
fof(f4202,plain,
( e11 != op1(e12,e10)
| ~ spl138_196 ),
inference(forward_demodulation,[],[f477,f2202]) ).
fof(f477,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4198,plain,
( ~ spl138_210
| ~ spl138_197 ),
inference(avatar_split_clause,[],[f4197,f2207,f2280]) ).
fof(f4197,plain,
( op1(e10,e10) != e11
| ~ spl138_197 ),
inference(forward_demodulation,[],[f441,f2208]) ).
fof(f441,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4196,plain,
( ~ spl138_202
| ~ spl138_207 ),
inference(avatar_contradiction_clause,[],[f4195]) ).
fof(f4195,plain,
( $false
| ~ spl138_202
| ~ spl138_207 ),
inference(subsumption_resolution,[],[f4193,f420]) ).
fof(f420,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f4193,plain,
( e10 = e13
| ~ spl138_202
| ~ spl138_207 ),
inference(backward_demodulation,[],[f2232,f2263]) ).
fof(f4185,plain,
( spl138_57
| ~ spl138_166 ),
inference(avatar_contradiction_clause,[],[f4184]) ).
fof(f4184,plain,
( $false
| spl138_57
| ~ spl138_166 ),
inference(subsumption_resolution,[],[f4183,f1442]) ).
fof(f1442,plain,
( e22 != h4(e13)
| spl138_57 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1441,plain,
( spl138_57
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_57])]) ).
fof(f4183,plain,
( e22 = h4(e13)
| ~ spl138_166 ),
inference(forward_demodulation,[],[f1839,f2043]) ).
fof(f2043,plain,
( e22 = op2(e20,e23)
| ~ spl138_166 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2042,plain,
( spl138_166
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_166])]) ).
fof(f4180,plain,
( ~ spl138_153
| ~ spl138_161 ),
inference(avatar_split_clause,[],[f4134,f2005,f1959]) ).
fof(f1959,plain,
( spl138_153
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_153])]) ).
fof(f2005,plain,
( spl138_161
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_161])]) ).
fof(f4134,plain,
( e21 != op2(e21,e22)
| ~ spl138_161 ),
inference(backward_demodulation,[],[f519,f2006]) ).
fof(f2006,plain,
( e21 = op2(e21,e20)
| ~ spl138_161 ),
inference(avatar_component_clause,[],[f2005]) ).
fof(f519,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4176,plain,
( ~ spl138_143
| ~ spl138_144 ),
inference(avatar_split_clause,[],[f4175,f1916,f1913]) ).
fof(f4175,plain,
( e21 != op2(e21,e23)
| ~ spl138_144 ),
inference(forward_demodulation,[],[f509,f1917]) ).
fof(f509,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4172,plain,
( ~ spl138_140
| ~ spl138_144 ),
inference(avatar_contradiction_clause,[],[f4171]) ).
fof(f4171,plain,
( $false
| ~ spl138_140
| ~ spl138_144 ),
inference(subsumption_resolution,[],[f4170,f399]) ).
fof(f4170,plain,
( e21 = e22
| ~ spl138_140
| ~ spl138_144 ),
inference(backward_demodulation,[],[f1896,f1917]) ).
fof(f4165,plain,
( ~ spl138_161
| ~ spl138_164 ),
inference(avatar_contradiction_clause,[],[f4164]) ).
fof(f4164,plain,
( $false
| ~ spl138_161
| ~ spl138_164 ),
inference(subsumption_resolution,[],[f4163,f396]) ).
fof(f396,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f4163,plain,
( e20 = e21
| ~ spl138_161
| ~ spl138_164 ),
inference(backward_demodulation,[],[f2006,f2023]) ).
fof(f2023,plain,
( e20 = op2(e21,e20)
| ~ spl138_164 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2022,plain,
( spl138_164
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_164])]) ).
fof(f4157,plain,
( ~ spl138_141
| ~ spl138_142 ),
inference(avatar_contradiction_clause,[],[f4156]) ).
fof(f4156,plain,
( $false
| ~ spl138_141
| ~ spl138_142 ),
inference(subsumption_resolution,[],[f1904,f3971]) ).
fof(f3971,plain,
( e22 != op2(e23,e20)
| ~ spl138_142 ),
inference(backward_demodulation,[],[f531,f1907]) ).
fof(f1907,plain,
( e22 = op2(e23,e22)
| ~ spl138_142 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f1906,plain,
( spl138_142
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_142])]) ).
fof(f531,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f4138,plain,
( ~ spl138_146
| ~ spl138_160 ),
inference(avatar_contradiction_clause,[],[f4137]) ).
fof(f4137,plain,
( $false
| ~ spl138_146
| ~ spl138_160 ),
inference(subsumption_resolution,[],[f2000,f4055]) ).
fof(f4055,plain,
( e21 != op2(e20,e21)
| ~ spl138_146 ),
inference(forward_demodulation,[],[f496,f1927]) ).
fof(f496,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2000,plain,
( e21 = op2(e20,e21)
| ~ spl138_160 ),
inference(avatar_component_clause,[],[f1999]) ).
fof(f1999,plain,
( spl138_160
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_160])]) ).
fof(f4118,plain,
( ~ spl138_197
| ~ spl138_201 ),
inference(avatar_contradiction_clause,[],[f4117]) ).
fof(f4117,plain,
( $false
| ~ spl138_197
| ~ spl138_201 ),
inference(subsumption_resolution,[],[f4116,f418]) ).
fof(f4116,plain,
( e10 = e11
| ~ spl138_197
| ~ spl138_201 ),
inference(forward_demodulation,[],[f2208,f2226]) ).
fof(f4109,plain,
( ~ spl138_187
| ~ spl138_203 ),
inference(avatar_contradiction_clause,[],[f4108]) ).
fof(f4108,plain,
( $false
| ~ spl138_187
| ~ spl138_203 ),
inference(subsumption_resolution,[],[f2240,f4065]) ).
fof(f4065,plain,
( e11 != op1(e10,e11)
| ~ spl138_187 ),
inference(forward_demodulation,[],[f448,f2168]) ).
fof(f448,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2240,plain,
( e11 = op1(e10,e11)
| ~ spl138_203 ),
inference(avatar_component_clause,[],[f2239]) ).
fof(f2239,plain,
( spl138_203
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_203])]) ).
fof(f4103,plain,
( ~ spl138_201
| ~ spl138_207 ),
inference(avatar_contradiction_clause,[],[f4102]) ).
fof(f4102,plain,
( $false
| ~ spl138_201
| ~ spl138_207 ),
inference(subsumption_resolution,[],[f2263,f3860]) ).
fof(f3860,plain,
( e10 != op1(e11,e10)
| ~ spl138_201 ),
inference(backward_demodulation,[],[f443,f2226]) ).
fof(f443,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4080,plain,
( ~ spl138_208
| ~ spl138_202 ),
inference(avatar_split_clause,[],[f4079,f2231,f2267]) ).
fof(f2267,plain,
( spl138_208
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_208])]) ).
fof(f4079,plain,
( op1(e10,e10) != e13
| ~ spl138_202 ),
inference(forward_demodulation,[],[f440,f2232]) ).
fof(f4075,plain,
( ~ spl138_208
| ~ spl138_175 ),
inference(avatar_split_clause,[],[f4074,f2113,f2267]) ).
fof(f4074,plain,
( op1(e10,e10) != e13
| ~ spl138_175 ),
inference(forward_demodulation,[],[f466,f2114]) ).
fof(f4072,plain,
( ~ spl138_178
| ~ spl138_189 ),
inference(avatar_contradiction_clause,[],[f4071]) ).
fof(f4071,plain,
( $false
| ~ spl138_178
| ~ spl138_189 ),
inference(subsumption_resolution,[],[f2176,f4061]) ).
fof(f4061,plain,
( e13 != op1(e10,e12)
| ~ spl138_178 ),
inference(forward_demodulation,[],[f454,f2127]) ).
fof(f454,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2176,plain,
( e13 = op1(e10,e12)
| ~ spl138_189 ),
inference(avatar_component_clause,[],[f2175]) ).
fof(f2175,plain,
( spl138_189
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_189])]) ).
fof(f4025,plain,
( ~ spl138_13
| ~ spl138_18 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4024,plain,
( $false
| ~ spl138_13
| ~ spl138_18 ),
inference(subsumption_resolution,[],[f4023,f396]) ).
fof(f4023,plain,
( e20 = e21
| ~ spl138_13
| ~ spl138_18 ),
inference(forward_demodulation,[],[f1961,f2370]) ).
fof(f2370,plain,
( e20 = h3(e12)
| ~ spl138_18 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f3976,plain,
( ~ spl138_57
| ~ spl138_140 ),
inference(avatar_split_clause,[],[f3973,f1895,f1441]) ).
fof(f3973,plain,
( e22 != h4(e13)
| ~ spl138_140 ),
inference(backward_demodulation,[],[f1847,f1896]) ).
fof(f1847,plain,
op2(e22,e23) != h4(e13),
inference(backward_demodulation,[],[f507,f1839]) ).
fof(f507,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3972,plain,
( ~ spl138_83
| ~ spl138_142 ),
inference(avatar_split_clause,[],[f3970,f1906,f1538]) ).
fof(f1538,plain,
( spl138_83
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_83])]) ).
fof(f3970,plain,
( e22 != h3(e12)
| ~ spl138_142 ),
inference(backward_demodulation,[],[f1796,f1907]) ).
fof(f1796,plain,
op2(e23,e22) != h3(e12),
inference(forward_demodulation,[],[f505,f434]) ).
fof(f505,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3950,plain,
( ~ spl138_140
| ~ spl138_151 ),
inference(avatar_split_clause,[],[f3947,f1951,f1895]) ).
fof(f3947,plain,
( e22 != op2(e22,e23)
| ~ spl138_151 ),
inference(backward_demodulation,[],[f526,f1952]) ).
fof(f526,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3949,plain,
( ~ spl138_83
| ~ spl138_151 ),
inference(avatar_split_clause,[],[f3946,f1951,f1538]) ).
fof(f3946,plain,
( e22 != h3(e12)
| ~ spl138_151 ),
inference(backward_demodulation,[],[f1783,f1952]) ).
fof(f3948,plain,
( ~ spl138_131
| ~ spl138_151 ),
inference(avatar_split_clause,[],[f3944,f1951,f1718]) ).
fof(f3944,plain,
( e22 != h1(e12)
| ~ spl138_151 ),
inference(backward_demodulation,[],[f1806,f1952]) ).
fof(f3941,plain,
( ~ spl138_18
| ~ spl138_156 ),
inference(avatar_split_clause,[],[f3937,f1975,f1303]) ).
fof(f3937,plain,
( e20 != h3(e12)
| ~ spl138_156 ),
inference(backward_demodulation,[],[f1798,f1976]) ).
fof(f1798,plain,
op2(e21,e22) != h3(e12),
inference(forward_demodulation,[],[f503,f434]) ).
fof(f503,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3933,plain,
( spl138_18
| ~ spl138_157 ),
inference(avatar_split_clause,[],[f3932,f1978,f1303]) ).
fof(f1978,plain,
( spl138_157
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_157])]) ).
fof(f3932,plain,
( e20 = h3(e12)
| ~ spl138_157 ),
inference(backward_demodulation,[],[f434,f1979]) ).
fof(f1979,plain,
( e20 = op2(e22,e22)
| ~ spl138_157 ),
inference(avatar_component_clause,[],[f1978]) ).
fof(f3920,plain,
( ~ spl138_38
| ~ spl138_162 ),
inference(avatar_split_clause,[],[f3914,f2012,f1379]) ).
fof(f1379,plain,
( spl138_38
<=> e20 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_38])]) ).
fof(f3914,plain,
( e20 != h1(e12)
| ~ spl138_162 ),
inference(backward_demodulation,[],[f1791,f2013]) ).
fof(f1791,plain,
op2(e20,e21) != h1(e12),
inference(forward_demodulation,[],[f512,f430]) ).
fof(f512,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3919,plain,
( ~ spl138_155
| ~ spl138_162 ),
inference(avatar_split_clause,[],[f3913,f2012,f1972]) ).
fof(f1972,plain,
( spl138_155
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_155])]) ).
fof(f3913,plain,
( e20 != op2(e20,e22)
| ~ spl138_162 ),
inference(backward_demodulation,[],[f515,f2013]) ).
fof(f515,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3911,plain,
( ~ spl138_134
| ~ spl138_165 ),
inference(avatar_split_clause,[],[f3909,f2032,f1730]) ).
fof(f1730,plain,
( spl138_134
<=> e23 = h1(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_134])]) ).
fof(f3909,plain,
( e23 != h1(e12)
| ~ spl138_165 ),
inference(backward_demodulation,[],[f1789,f2033]) ).
fof(f3910,plain,
( spl138_58
| ~ spl138_165 ),
inference(avatar_split_clause,[],[f3908,f2032,f1444]) ).
fof(f3908,plain,
( e23 = h4(e13)
| ~ spl138_165 ),
inference(backward_demodulation,[],[f1839,f2033]) ).
fof(f3903,plain,
( ~ spl138_178
| ~ spl138_182 ),
inference(avatar_contradiction_clause,[],[f3902]) ).
fof(f3902,plain,
( $false
| ~ spl138_178
| ~ spl138_182 ),
inference(subsumption_resolution,[],[f3901,f423]) ).
fof(f3901,plain,
( e12 = e13
| ~ spl138_178
| ~ spl138_182 ),
inference(forward_demodulation,[],[f2127,f2147]) ).
fof(f2147,plain,
( e12 = op1(e13,e12)
| ~ spl138_182 ),
inference(avatar_component_clause,[],[f2146]) ).
fof(f2146,plain,
( spl138_182
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_182])]) ).
fof(f3896,plain,
( ~ spl138_181
| ~ spl138_182 ),
inference(avatar_contradiction_clause,[],[f3895]) ).
fof(f3895,plain,
( $false
| ~ spl138_181
| ~ spl138_182 ),
inference(subsumption_resolution,[],[f2144,f3894]) ).
fof(f3894,plain,
( e12 != op1(e13,e10)
| ~ spl138_182 ),
inference(backward_demodulation,[],[f483,f2147]) ).
fof(f483,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3886,plain,
( ~ spl138_186
| ~ spl138_187 ),
inference(avatar_contradiction_clause,[],[f3885]) ).
fof(f3885,plain,
( $false
| ~ spl138_186
| ~ spl138_187 ),
inference(subsumption_resolution,[],[f2165,f3883]) ).
fof(f3883,plain,
( e11 != op1(e13,e10)
| ~ spl138_187 ),
inference(backward_demodulation,[],[f482,f2168]) ).
fof(f482,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2165,plain,
( e11 = op1(e13,e10)
| ~ spl138_186 ),
inference(avatar_component_clause,[],[f2164]) ).
fof(f2164,plain,
( spl138_186
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_186])]) ).
fof(f3880,plain,
( ~ spl138_189
| ~ spl138_208 ),
inference(avatar_contradiction_clause,[],[f3879]) ).
fof(f3879,plain,
( $false
| ~ spl138_189
| ~ spl138_208 ),
inference(subsumption_resolution,[],[f2176,f3842]) ).
fof(f3842,plain,
( e13 != op1(e10,e12)
| ~ spl138_208 ),
inference(backward_demodulation,[],[f465,f2268]) ).
fof(f2268,plain,
( op1(e10,e10) = e13
| ~ spl138_208 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f3856,plain,
( ~ spl138_205
| spl138_210
| ~ spl138_290 ),
inference(avatar_contradiction_clause,[],[f3855]) ).
fof(f3855,plain,
( $false
| ~ spl138_205
| spl138_210
| ~ spl138_290 ),
inference(subsumption_resolution,[],[f3853,f3563]) ).
fof(f3563,plain,
( op1(e10,e10) != e11
| spl138_210 ),
inference(avatar_component_clause,[],[f2280]) ).
fof(f3853,plain,
( op1(e10,e10) = e11
| ~ spl138_205
| ~ spl138_290 ),
inference(backward_demodulation,[],[f3176,f2253]) ).
fof(f3176,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ spl138_290 ),
inference(avatar_component_clause,[],[f3175]) ).
fof(f3175,plain,
( spl138_290
<=> e11 = op1(e10,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_290])]) ).
fof(f3854,plain,
( ~ spl138_198
| ~ spl138_205 ),
inference(avatar_split_clause,[],[f3849,f2252,f2212]) ).
fof(f2212,plain,
( spl138_198
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_198])]) ).
fof(f3849,plain,
( e10 != op1(e10,e12)
| ~ spl138_205 ),
inference(backward_demodulation,[],[f467,f2253]) ).
fof(f467,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3845,plain,
( ~ spl138_177
| ~ spl138_208 ),
inference(avatar_split_clause,[],[f3840,f2267,f2123]) ).
fof(f3840,plain,
( e13 != op1(e13,e10)
| ~ spl138_208 ),
inference(backward_demodulation,[],[f442,f2268]) ).
fof(f442,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3837,plain,
( spl138_342
| spl138_341
| spl138_340
| spl138_339
| spl138_338
| spl138_337
| spl138_336
| spl138_335
| spl138_334
| spl138_333
| spl138_332
| spl138_331
| spl138_330
| spl138_329
| spl138_328
| spl138_327
| spl138_326
| spl138_325
| spl138_324
| spl138_323
| spl138_322
| spl138_321
| spl138_320
| spl138_319
| spl138_318
| spl138_317
| spl138_316
| spl138_315
| spl138_314
| spl138_313
| spl138_312
| spl138_311
| spl138_310
| spl138_309
| spl138_308
| spl138_307
| spl138_306
| spl138_305
| spl138_304
| spl138_303
| spl138_302
| spl138_301
| spl138_300
| spl138_299
| spl138_298
| spl138_297
| spl138_296
| spl138_295
| spl138_294
| spl138_293
| spl138_292 ),
inference(avatar_split_clause,[],[f3836,f3183,f3194,f3202,f3211,f3219,f3226,f3235,f3245,f3253,f3261,f3269,f3278,f3290,f3298,f3306,f3311,f3320,f3327,f3333,f3342,f3353,f3361,f3368,f3375,f3384,f3394,f3402,f3411,f3417,f3426,f3434,f3441,f3451,f3462,f3471,f3477,f3484,f3493,f3503,f3512,f3521,f3528,f3538,f3545,f3551,f3560,f3570,f3577,f3583,f3590,f3599]) ).
fof(f3599,plain,
( spl138_342
<=> sP73 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_342])]) ).
fof(f3590,plain,
( spl138_341
<=> sP74 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_341])]) ).
fof(f3583,plain,
( spl138_340
<=> sP75 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_340])]) ).
fof(f3577,plain,
( spl138_339
<=> sP76 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_339])]) ).
fof(f3570,plain,
( spl138_338
<=> sP77 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_338])]) ).
fof(f3560,plain,
( spl138_337
<=> sP79 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_337])]) ).
fof(f3551,plain,
( spl138_336
<=> sP81 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_336])]) ).
fof(f3545,plain,
( spl138_335
<=> sP82 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_335])]) ).
fof(f3538,plain,
( spl138_334
<=> sP83 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_334])]) ).
fof(f3528,plain,
( spl138_333
<=> sP84 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_333])]) ).
fof(f3521,plain,
( spl138_332
<=> sP85 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_332])]) ).
fof(f3512,plain,
( spl138_331
<=> sP86 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_331])]) ).
fof(f3503,plain,
( spl138_330
<=> sP87 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_330])]) ).
fof(f3493,plain,
( spl138_329
<=> sP89 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_329])]) ).
fof(f3484,plain,
( spl138_328
<=> sP90 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_328])]) ).
fof(f3477,plain,
( spl138_327
<=> sP91 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_327])]) ).
fof(f3471,plain,
( spl138_326
<=> sP92 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_326])]) ).
fof(f3462,plain,
( spl138_325
<=> sP93 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_325])]) ).
fof(f3451,plain,
( spl138_324
<=> sP95 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_324])]) ).
fof(f3441,plain,
( spl138_323
<=> sP97 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_323])]) ).
fof(f3434,plain,
( spl138_322
<=> sP98 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_322])]) ).
fof(f3426,plain,
( spl138_321
<=> sP99 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_321])]) ).
fof(f3417,plain,
( spl138_320
<=> sP100 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_320])]) ).
fof(f3411,plain,
( spl138_319
<=> sP101 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_319])]) ).
fof(f3402,plain,
( spl138_318
<=> sP102 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_318])]) ).
fof(f3394,plain,
( spl138_317
<=> sP103 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_317])]) ).
fof(f3384,plain,
( spl138_316
<=> sP105 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_316])]) ).
fof(f3375,plain,
( spl138_315
<=> sP106 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_315])]) ).
fof(f3368,plain,
( spl138_314
<=> sP107 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_314])]) ).
fof(f3361,plain,
( spl138_313
<=> sP108 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_313])]) ).
fof(f3353,plain,
( spl138_312
<=> sP109 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_312])]) ).
fof(f3342,plain,
( spl138_311
<=> sP111 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_311])]) ).
fof(f3333,plain,
( spl138_310
<=> sP113 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_310])]) ).
fof(f3327,plain,
( spl138_309
<=> sP114 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_309])]) ).
fof(f3320,plain,
( spl138_308
<=> sP115 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_308])]) ).
fof(f3311,plain,
( spl138_307
<=> sP116 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_307])]) ).
fof(f3306,plain,
( spl138_306
<=> sP117 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_306])]) ).
fof(f3298,plain,
( spl138_305
<=> sP118 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_305])]) ).
fof(f3290,plain,
( spl138_304
<=> sP119 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_304])]) ).
fof(f3278,plain,
( spl138_303
<=> sP121 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_303])]) ).
fof(f3269,plain,
( spl138_302
<=> sP122 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_302])]) ).
fof(f3261,plain,
( spl138_301
<=> sP123 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_301])]) ).
fof(f3253,plain,
( spl138_300
<=> sP124 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_300])]) ).
fof(f3245,plain,
( spl138_299
<=> sP125 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_299])]) ).
fof(f3235,plain,
( spl138_298
<=> sP127 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_298])]) ).
fof(f3226,plain,
( spl138_297
<=> sP129 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_297])]) ).
fof(f3219,plain,
( spl138_296
<=> sP130 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_296])]) ).
fof(f3211,plain,
( spl138_295
<=> sP131 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_295])]) ).
fof(f3202,plain,
( spl138_294
<=> sP132 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_294])]) ).
fof(f3194,plain,
( spl138_293
<=> sP133 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_293])]) ).
fof(f3183,plain,
( spl138_292
<=> sP134 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_292])]) ).
fof(f3836,plain,
( sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP79
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3835,f420]) ).
fof(f3835,plain,
( e10 = e13
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP79
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(forward_demodulation,[],[f3834,f1864]) ).
fof(f3834,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP79
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3833,f3568]) ).
fof(f3568,plain,
~ sP78,
inference(subsumption_resolution,[],[f3567,f421]) ).
fof(f421,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3567,plain,
( e11 = e12
| ~ sP78 ),
inference(forward_demodulation,[],[f1184,f540]) ).
fof(f1184,plain,
( e11 = op1(e11,e11)
| ~ sP78 ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP78 ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP78 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP78])]) ).
fof(f3833,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3832,f3558]) ).
fof(f3558,plain,
~ sP80,
inference(subsumption_resolution,[],[f3557,f418]) ).
fof(f3557,plain,
( e10 = e11
| ~ sP80 ),
inference(forward_demodulation,[],[f1176,f1864]) ).
fof(f1176,plain,
( e11 = op1(e13,e13)
| ~ sP80 ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP80 ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP80 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP80])]) ).
fof(f3832,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3831,f3501]) ).
fof(f3501,plain,
~ sP88,
inference(subsumption_resolution,[],[f3500,f420]) ).
fof(f3500,plain,
( e10 = e13
| ~ sP88 ),
inference(forward_demodulation,[],[f1144,f1864]) ).
fof(f1144,plain,
( e13 = op1(e13,e13)
| ~ sP88 ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP88 ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP88 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP88])]) ).
fof(f3831,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3830,f3460]) ).
fof(f3460,plain,
~ sP94,
inference(subsumption_resolution,[],[f3459,f421]) ).
fof(f3459,plain,
( e11 = e12
| ~ sP94 ),
inference(forward_demodulation,[],[f1120,f540]) ).
fof(f1120,plain,
( e11 = op1(e11,e11)
| ~ sP94 ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP94 ),
inference(nnf_transformation,[],[f117]) ).
fof(f117,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP94 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP94])]) ).
fof(f3830,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3829,f3449]) ).
fof(f3449,plain,
~ sP96,
inference(subsumption_resolution,[],[f3448,f418]) ).
fof(f3448,plain,
( e10 = e11
| ~ sP96 ),
inference(forward_demodulation,[],[f1112,f1864]) ).
fof(f1112,plain,
( e11 = op1(e13,e13)
| ~ sP96 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP96 ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP96 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP96])]) ).
fof(f3829,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3828,f3392]) ).
fof(f3392,plain,
~ sP104,
inference(subsumption_resolution,[],[f3391,f420]) ).
fof(f3391,plain,
( e10 = e13
| ~ sP104 ),
inference(forward_demodulation,[],[f1080,f1864]) ).
fof(f1080,plain,
( e13 = op1(e13,e13)
| ~ sP104 ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP104 ),
inference(nnf_transformation,[],[f127]) ).
fof(f127,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP104 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP104])]) ).
fof(f3828,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3827,f3351]) ).
fof(f3351,plain,
~ sP110,
inference(subsumption_resolution,[],[f3350,f421]) ).
fof(f3350,plain,
( e11 = e12
| ~ sP110 ),
inference(forward_demodulation,[],[f1056,f540]) ).
fof(f1056,plain,
( e11 = op1(e11,e11)
| ~ sP110 ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP110 ),
inference(nnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP110 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP110])]) ).
fof(f3827,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3826,f3340]) ).
fof(f3340,plain,
~ sP112,
inference(subsumption_resolution,[],[f3339,f418]) ).
fof(f3339,plain,
( e10 = e11
| ~ sP112 ),
inference(forward_demodulation,[],[f1048,f1864]) ).
fof(f1048,plain,
( e11 = op1(e13,e13)
| ~ sP112 ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP112 ),
inference(nnf_transformation,[],[f135]) ).
fof(f135,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP112 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP112])]) ).
fof(f3826,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3825,f3288]) ).
fof(f3288,plain,
~ sP120,
inference(subsumption_resolution,[],[f3287,f420]) ).
fof(f3287,plain,
( e10 = e13
| ~ sP120 ),
inference(forward_demodulation,[],[f1016,f1864]) ).
fof(f1016,plain,
( e13 = op1(e13,e13)
| ~ sP120 ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP120 ),
inference(nnf_transformation,[],[f143]) ).
fof(f143,plain,
( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP120 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP120])]) ).
fof(f3825,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f3824,f3243]) ).
fof(f3243,plain,
~ sP126,
inference(subsumption_resolution,[],[f3242,f421]) ).
fof(f3242,plain,
( e11 = e12
| ~ sP126 ),
inference(forward_demodulation,[],[f992,f540]) ).
fof(f992,plain,
( e11 = op1(e11,e11)
| ~ sP126 ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP126 ),
inference(nnf_transformation,[],[f149]) ).
fof(f149,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP126 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP126])]) ).
fof(f3824,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(subsumption_resolution,[],[f1230,f3233]) ).
fof(f3233,plain,
~ sP128,
inference(subsumption_resolution,[],[f3232,f418]) ).
fof(f3232,plain,
( e10 = e11
| ~ sP128 ),
inference(forward_demodulation,[],[f984,f1864]) ).
fof(f984,plain,
( e11 = op1(e13,e13)
| ~ sP128 ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP128 ),
inference(nnf_transformation,[],[f151]) ).
fof(f151,plain,
( ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP128 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP128])]) ).
fof(f1230,plain,
( e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(duplicate_literal_removal,[],[f1206]) ).
fof(f1206,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e13)
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| sP137
| sP136
| sP135 )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| sP134
| sP133
| sP132
| sP131
| sP130
| sP129
| sP128
| sP127
| sP126
| sP125
| sP124
| sP123
| sP122
| sP121
| sP120
| sP119
| sP118
| sP117
| sP116
| sP115
| sP114
| sP113
| sP112
| sP111
| sP110
| sP109
| sP108
| sP107
| sP106
| sP105
| sP104
| sP103
| sP102
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73 ) ),
inference(definition_folding,[],[f10,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96]) ).
fof(f96,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP73 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f97,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP74 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f98,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP75 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f99,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP76 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f100,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP77 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f102,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP79 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP79])]) ).
fof(f104,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP81 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP81])]) ).
fof(f105,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP82 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP82])]) ).
fof(f106,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP83 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP83])]) ).
fof(f107,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP84 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP84])]) ).
fof(f108,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP85 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP85])]) ).
fof(f109,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP86 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP86])]) ).
fof(f110,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP87 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP87])]) ).
fof(f112,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP89 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP89])]) ).
fof(f113,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP90 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP90])]) ).
fof(f114,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP91 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP91])]) ).
fof(f115,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP92 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP92])]) ).
fof(f116,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP93 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP93])]) ).
fof(f118,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP95 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP95])]) ).
fof(f120,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP97 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP97])]) ).
fof(f121,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP98 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP98])]) ).
fof(f122,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP99 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP99])]) ).
fof(f123,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP100 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP100])]) ).
fof(f124,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP101 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP101])]) ).
fof(f125,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP102 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP102])]) ).
fof(f126,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP103 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP103])]) ).
fof(f128,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP105 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP105])]) ).
fof(f129,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP106 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP106])]) ).
fof(f130,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP107 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP107])]) ).
fof(f131,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP108 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP108])]) ).
fof(f132,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP109 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP109])]) ).
fof(f134,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP111 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP111])]) ).
fof(f136,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP113 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP113])]) ).
fof(f137,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP114 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP114])]) ).
fof(f138,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP115 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP115])]) ).
fof(f139,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP116 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP116])]) ).
fof(f140,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP117 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP117])]) ).
fof(f141,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP118 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP118])]) ).
fof(f142,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP119 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP119])]) ).
fof(f144,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP121 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP121])]) ).
fof(f145,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP122 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP122])]) ).
fof(f146,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP123 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP123])]) ).
fof(f147,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP124 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP124])]) ).
fof(f148,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP125 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP125])]) ).
fof(f150,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP127 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP127])]) ).
fof(f152,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP129 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP129])]) ).
fof(f153,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP130 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP130])]) ).
fof(f154,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP131 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP131])]) ).
fof(f155,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP132 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP132])]) ).
fof(f156,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP133 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP133])]) ).
fof(f157,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP134 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP134])]) ).
fof(f158,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP135 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP135])]) ).
fof(f159,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP136 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP136])]) ).
fof(f160,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP137 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP137])]) ).
fof(f10,axiom,
( ( ( ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e12,e12)
| e12 != op1(e12,e13) )
& ( e13 = op1(e11,e11)
| e11 != op1(e11,e13) )
& ( op1(e10,e10) = e13
| e10 != op1(e10,e13) )
& e13 = op1(e13,op1(e13,e13))
& e12 = op1(e13,op1(e13,e12))
& e11 = op1(e13,op1(e13,e11))
& e10 = op1(e13,op1(e13,e10)) )
| ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) ) )
& ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ( e13 != op1(e13,e11)
& e11 = op1(e13,e13)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3614,plain,
( spl138_287
| spl138_283
| spl138_279
| spl138_177 ),
inference(avatar_split_clause,[],[f3613,f2123,f3118,f3139,f3158]) ).
fof(f3158,plain,
( spl138_287
<=> sP135 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_287])]) ).
fof(f3139,plain,
( spl138_283
<=> sP136 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_283])]) ).
fof(f3118,plain,
( spl138_279
<=> sP137 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_279])]) ).
fof(f3613,plain,
( e13 = op1(e13,e10)
| sP137
| sP136
| sP135 ),
inference(forward_demodulation,[],[f1225,f1864]) ).
fof(f1225,plain,
( e13 = op1(e13,op1(e13,e13))
| sP137
| sP136
| sP135 ),
inference(cnf_transformation,[],[f161]) ).
fof(f3609,plain,
( spl138_287
| spl138_283
| spl138_279
| ~ spl138_180 ),
inference(avatar_split_clause,[],[f3605,f2136,f3118,f3139,f3158]) ).
fof(f3605,plain,
( e12 != op1(e12,e13)
| sP137
| sP136
| sP135 ),
inference(subsumption_resolution,[],[f1228,f1861]) ).
fof(f1861,plain,
e13 != op1(e12,e12),
inference(backward_demodulation,[],[f479,f1857]) ).
fof(f479,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1228,plain,
( e13 = op1(e12,e12)
| e12 != op1(e12,e13)
| sP137
| sP136
| sP135 ),
inference(cnf_transformation,[],[f161]) ).
fof(f3604,plain,
( ~ spl138_342
| spl138_211 ),
inference(avatar_split_clause,[],[f1202,f2286,f3599]) ).
fof(f2286,plain,
( spl138_211
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_211])]) ).
fof(f1202,plain,
( e10 = op1(e10,e10)
| ~ sP73 ),
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP73 ),
inference(nnf_transformation,[],[f96]) ).
fof(f3603,plain,
( ~ spl138_342
| ~ spl138_211 ),
inference(avatar_split_clause,[],[f1203,f2286,f3599]) ).
fof(f1203,plain,
( e10 != op1(e10,e10)
| ~ sP73 ),
inference(cnf_transformation,[],[f299]) ).
fof(f3595,plain,
~ spl138_341,
inference(avatar_split_clause,[],[f3594,f3590]) ).
fof(f3594,plain,
~ sP74,
inference(subsumption_resolution,[],[f3593,f419]) ).
fof(f3593,plain,
( e10 = e12
| ~ sP74 ),
inference(forward_demodulation,[],[f1200,f540]) ).
fof(f1200,plain,
( e10 = op1(e11,e11)
| ~ sP74 ),
inference(cnf_transformation,[],[f298]) ).
fof(f298,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP74 ),
inference(nnf_transformation,[],[f97]) ).
fof(f3588,plain,
( ~ spl138_340
| spl138_211 ),
inference(avatar_split_clause,[],[f1194,f2286,f3583]) ).
fof(f1194,plain,
( e10 = op1(e10,e10)
| ~ sP75 ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP75 ),
inference(nnf_transformation,[],[f98]) ).
fof(f3587,plain,
( ~ spl138_340
| ~ spl138_211 ),
inference(avatar_split_clause,[],[f1195,f2286,f3583]) ).
fof(f1195,plain,
( e10 != op1(e10,e10)
| ~ sP75 ),
inference(cnf_transformation,[],[f297]) ).
fof(f3581,plain,
( ~ spl138_339
| spl138_211 ),
inference(avatar_split_clause,[],[f1190,f2286,f3577]) ).
fof(f1190,plain,
( e10 = op1(e10,e10)
| ~ sP76 ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP76 ),
inference(nnf_transformation,[],[f99]) ).
fof(f3580,plain,
( ~ spl138_339
| ~ spl138_211 ),
inference(avatar_split_clause,[],[f1191,f2286,f3577]) ).
fof(f1191,plain,
( e10 != op1(e10,e10)
| ~ sP76 ),
inference(cnf_transformation,[],[f296]) ).
fof(f3579,plain,
( ~ spl138_339
| ~ spl138_177 ),
inference(avatar_split_clause,[],[f1193,f2123,f3577]) ).
fof(f1193,plain,
( e13 != op1(e13,e10)
| ~ sP76 ),
inference(cnf_transformation,[],[f296]) ).
fof(f3572,plain,
( ~ spl138_338
| ~ spl138_205 ),
inference(avatar_split_clause,[],[f1189,f2252,f3570]) ).
fof(f1189,plain,
( e10 != op1(e10,e11)
| ~ sP77 ),
inference(cnf_transformation,[],[f295]) ).
fof(f295,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP77 ),
inference(nnf_transformation,[],[f100]) ).
fof(f3564,plain,
( ~ spl138_337
| ~ spl138_210 ),
inference(avatar_split_clause,[],[f1179,f2280,f3560]) ).
fof(f1179,plain,
( op1(e10,e10) != e11
| ~ sP79 ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& op1(e10,e10) != e11
& e10 = op1(e10,e11) )
| ~ sP79 ),
inference(nnf_transformation,[],[f102]) ).
fof(f3562,plain,
( ~ spl138_337
| spl138_196 ),
inference(avatar_split_clause,[],[f1180,f2201,f3560]) ).
fof(f1180,plain,
( e11 = op1(e12,e12)
| ~ sP79 ),
inference(cnf_transformation,[],[f293]) ).
fof(f3556,plain,
( ~ spl138_336
| spl138_198 ),
inference(avatar_split_clause,[],[f1170,f2212,f3551]) ).
fof(f1170,plain,
( e10 = op1(e10,e12)
| ~ sP81 ),
inference(cnf_transformation,[],[f291]) ).
fof(f291,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP81 ),
inference(nnf_transformation,[],[f104]) ).
fof(f3549,plain,
( ~ spl138_335
| spl138_198 ),
inference(avatar_split_clause,[],[f1166,f2212,f3545]) ).
fof(f1166,plain,
( e10 = op1(e10,e12)
| ~ sP82 ),
inference(cnf_transformation,[],[f290]) ).
fof(f290,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP82 ),
inference(nnf_transformation,[],[f105]) ).
fof(f3543,plain,
( ~ spl138_334
| spl138_198 ),
inference(avatar_split_clause,[],[f1162,f2212,f3538]) ).
fof(f1162,plain,
( e10 = op1(e10,e12)
| ~ sP83 ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP83 ),
inference(nnf_transformation,[],[f106]) ).
fof(f3533,plain,
~ spl138_333,
inference(avatar_split_clause,[],[f3532,f3528]) ).
fof(f3532,plain,
~ sP84,
inference(subsumption_resolution,[],[f3531,f419]) ).
fof(f3531,plain,
( e10 = e12
| ~ sP84 ),
inference(forward_demodulation,[],[f1160,f1864]) ).
fof(f1160,plain,
( e12 = op1(e13,e13)
| ~ sP84 ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& op1(e10,e10) != e12
& e10 = op1(e10,e12) )
| ~ sP84 ),
inference(nnf_transformation,[],[f107]) ).
fof(f3526,plain,
~ spl138_332,
inference(avatar_split_clause,[],[f3525,f3521]) ).
fof(f3525,plain,
~ sP85,
inference(subsumption_resolution,[],[f1154,f1865]) ).
fof(f1865,plain,
e10 != op1(e10,e13),
inference(backward_demodulation,[],[f460,f1864]) ).
fof(f460,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1154,plain,
( e10 = op1(e10,e13)
| ~ sP85 ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP85 ),
inference(nnf_transformation,[],[f108]) ).
fof(f3517,plain,
~ spl138_331,
inference(avatar_split_clause,[],[f3516,f3512]) ).
fof(f3516,plain,
~ sP86,
inference(subsumption_resolution,[],[f3515,f423]) ).
fof(f3515,plain,
( e12 = e13
| ~ sP86 ),
inference(forward_demodulation,[],[f1152,f540]) ).
fof(f1152,plain,
( e13 = op1(e11,e11)
| ~ sP86 ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP86 ),
inference(nnf_transformation,[],[f109]) ).
fof(f3507,plain,
~ spl138_330,
inference(avatar_split_clause,[],[f3506,f3503]) ).
fof(f3506,plain,
~ sP87,
inference(subsumption_resolution,[],[f1148,f1861]) ).
fof(f1148,plain,
( e13 = op1(e12,e12)
| ~ sP87 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& op1(e10,e10) != e13
& e10 = op1(e10,e13) )
| ~ sP87 ),
inference(nnf_transformation,[],[f110]) ).
fof(f3498,plain,
( ~ spl138_329
| spl138_204 ),
inference(avatar_split_clause,[],[f1138,f2245,f3493]) ).
fof(f1138,plain,
( e11 = op1(e11,e10)
| ~ sP89 ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP89 ),
inference(nnf_transformation,[],[f112]) ).
fof(f3496,plain,
( ~ spl138_329
| spl138_211 ),
inference(avatar_split_clause,[],[f1140,f2286,f3493]) ).
fof(f1140,plain,
( e10 = op1(e10,e10)
| ~ sP89 ),
inference(cnf_transformation,[],[f283]) ).
fof(f3495,plain,
( ~ spl138_329
| ~ spl138_211 ),
inference(avatar_split_clause,[],[f1141,f2286,f3493]) ).
fof(f1141,plain,
( e10 != op1(e10,e10)
| ~ sP89 ),
inference(cnf_transformation,[],[f283]) ).
fof(f3489,plain,
~ spl138_328,
inference(avatar_split_clause,[],[f3488,f3484]) ).
fof(f3488,plain,
~ sP90,
inference(subsumption_resolution,[],[f3487,f419]) ).
fof(f3487,plain,
( e10 = e12
| ~ sP90 ),
inference(forward_demodulation,[],[f1136,f540]) ).
fof(f1136,plain,
( e10 = op1(e11,e11)
| ~ sP90 ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP90 ),
inference(nnf_transformation,[],[f113]) ).
fof(f3482,plain,
( ~ spl138_327
| spl138_204 ),
inference(avatar_split_clause,[],[f1130,f2245,f3477]) ).
fof(f1130,plain,
( e11 = op1(e11,e10)
| ~ sP91 ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP91 ),
inference(nnf_transformation,[],[f114]) ).
fof(f3480,plain,
( ~ spl138_327
| spl138_200 ),
inference(avatar_split_clause,[],[f1132,f2218,f3477]) ).
fof(f1132,plain,
( e10 = op1(e12,e12)
| ~ sP91 ),
inference(cnf_transformation,[],[f281]) ).
fof(f3475,plain,
( ~ spl138_326
| spl138_204 ),
inference(avatar_split_clause,[],[f1126,f2245,f3471]) ).
fof(f1126,plain,
( e11 = op1(e11,e10)
| ~ sP92 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e11,e11)
& e11 = op1(e11,e10) )
| ~ sP92 ),
inference(nnf_transformation,[],[f115]) ).
fof(f3473,plain,
( ~ spl138_326
| ~ spl138_177 ),
inference(avatar_split_clause,[],[f1129,f2123,f3471]) ).
fof(f1129,plain,
( e13 != op1(e13,e10)
| ~ sP92 ),
inference(cnf_transformation,[],[f280]) ).
fof(f3469,plain,
~ spl138_325,
inference(avatar_split_clause,[],[f3468,f3462]) ).
fof(f3468,plain,
~ sP93,
inference(subsumption_resolution,[],[f3467,f421]) ).
fof(f3467,plain,
( e11 = e12
| ~ sP93 ),
inference(forward_demodulation,[],[f1122,f540]) ).
fof(f1122,plain,
( e11 = op1(e11,e11)
| ~ sP93 ),
inference(cnf_transformation,[],[f279]) ).
fof(f279,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP93 ),
inference(nnf_transformation,[],[f116]) ).
fof(f3457,plain,
~ spl138_324,
inference(avatar_split_clause,[],[f3456,f3451]) ).
fof(f3456,plain,
~ sP95,
inference(subsumption_resolution,[],[f3455,f421]) ).
fof(f3455,plain,
( e11 = e12
| ~ sP95 ),
inference(forward_demodulation,[],[f1114,f540]) ).
fof(f1114,plain,
( e11 = op1(e11,e11)
| ~ sP95 ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP95 ),
inference(nnf_transformation,[],[f118]) ).
fof(f3446,plain,
~ spl138_323,
inference(avatar_split_clause,[],[f3445,f3441]) ).
fof(f3445,plain,
~ sP97,
inference(subsumption_resolution,[],[f1107,f540]) ).
fof(f1107,plain,
( e12 != op1(e11,e11)
| ~ sP97 ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP97 ),
inference(nnf_transformation,[],[f120]) ).
fof(f3438,plain,
~ spl138_322,
inference(avatar_split_clause,[],[f3437,f3434]) ).
fof(f3437,plain,
~ sP98,
inference(subsumption_resolution,[],[f1103,f540]) ).
fof(f1103,plain,
( e12 != op1(e11,e11)
| ~ sP98 ),
inference(cnf_transformation,[],[f274]) ).
fof(f274,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP98 ),
inference(nnf_transformation,[],[f121]) ).
fof(f3431,plain,
~ spl138_321,
inference(avatar_split_clause,[],[f3430,f3426]) ).
fof(f3430,plain,
~ sP99,
inference(subsumption_resolution,[],[f1099,f540]) ).
fof(f1099,plain,
( e12 != op1(e11,e11)
| ~ sP99 ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP99 ),
inference(nnf_transformation,[],[f122]) ).
fof(f3422,plain,
~ spl138_320,
inference(avatar_split_clause,[],[f3421,f3417]) ).
fof(f3421,plain,
~ sP100,
inference(subsumption_resolution,[],[f3420,f419]) ).
fof(f3420,plain,
( e10 = e12
| ~ sP100 ),
inference(forward_demodulation,[],[f1096,f1864]) ).
fof(f1096,plain,
( e12 = op1(e13,e13)
| ~ sP100 ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e11,e11)
& e11 = op1(e11,e12) )
| ~ sP100 ),
inference(nnf_transformation,[],[f123]) ).
fof(f3415,plain,
( ~ spl138_319
| spl138_184 ),
inference(avatar_split_clause,[],[f1090,f2155,f3411]) ).
fof(f1090,plain,
( e11 = op1(e11,e13)
| ~ sP101 ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP101 ),
inference(nnf_transformation,[],[f124]) ).
fof(f3413,plain,
( ~ spl138_319
| spl138_208 ),
inference(avatar_split_clause,[],[f1092,f2267,f3411]) ).
fof(f1092,plain,
( op1(e10,e10) = e13
| ~ sP101 ),
inference(cnf_transformation,[],[f271]) ).
fof(f3407,plain,
~ spl138_318,
inference(avatar_split_clause,[],[f3406,f3402]) ).
fof(f3406,plain,
~ sP102,
inference(subsumption_resolution,[],[f3405,f423]) ).
fof(f3405,plain,
( e12 = e13
| ~ sP102 ),
inference(forward_demodulation,[],[f1088,f540]) ).
fof(f1088,plain,
( e13 = op1(e11,e11)
| ~ sP102 ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP102 ),
inference(nnf_transformation,[],[f125]) ).
fof(f3398,plain,
~ spl138_317,
inference(avatar_split_clause,[],[f3397,f3394]) ).
fof(f3397,plain,
~ sP103,
inference(subsumption_resolution,[],[f1084,f1861]) ).
fof(f1084,plain,
( e13 = op1(e12,e12)
| ~ sP103 ),
inference(cnf_transformation,[],[f269]) ).
fof(f269,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e11,e11)
& e11 = op1(e11,e13) )
| ~ sP103 ),
inference(nnf_transformation,[],[f126]) ).
fof(f3387,plain,
( ~ spl138_316
| spl138_211 ),
inference(avatar_split_clause,[],[f1076,f2286,f3384]) ).
fof(f1076,plain,
( e10 = op1(e10,e10)
| ~ sP105 ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP105 ),
inference(nnf_transformation,[],[f128]) ).
fof(f3386,plain,
( ~ spl138_316
| ~ spl138_211 ),
inference(avatar_split_clause,[],[f1077,f2286,f3384]) ).
fof(f1077,plain,
( e10 != op1(e10,e10)
| ~ sP105 ),
inference(cnf_transformation,[],[f267]) ).
fof(f3380,plain,
~ spl138_315,
inference(avatar_split_clause,[],[f3379,f3375]) ).
fof(f3379,plain,
~ sP106,
inference(subsumption_resolution,[],[f3378,f419]) ).
fof(f3378,plain,
( e10 = e12
| ~ sP106 ),
inference(forward_demodulation,[],[f1072,f540]) ).
fof(f1072,plain,
( e10 = op1(e11,e11)
| ~ sP106 ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP106 ),
inference(nnf_transformation,[],[f129]) ).
fof(f3372,plain,
( ~ spl138_314
| ~ spl138_200 ),
inference(avatar_split_clause,[],[f1067,f2218,f3368]) ).
fof(f1067,plain,
( e10 != op1(e12,e12)
| ~ sP107 ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP107 ),
inference(nnf_transformation,[],[f130]) ).
fof(f3371,plain,
( ~ spl138_314
| spl138_200 ),
inference(avatar_split_clause,[],[f1068,f2218,f3368]) ).
fof(f1068,plain,
( e10 = op1(e12,e12)
| ~ sP107 ),
inference(cnf_transformation,[],[f265]) ).
fof(f3370,plain,
( ~ spl138_314
| ~ spl138_193 ),
inference(avatar_split_clause,[],[f1069,f2191,f3368]) ).
fof(f1069,plain,
( e12 != op1(e12,e10)
| ~ sP107 ),
inference(cnf_transformation,[],[f265]) ).
fof(f3366,plain,
( ~ spl138_313
| spl138_193 ),
inference(avatar_split_clause,[],[f1062,f2191,f3361]) ).
fof(f1062,plain,
( e12 = op1(e12,e10)
| ~ sP108 ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e12,e12)
& e12 = op1(e12,e10) )
| ~ sP108 ),
inference(nnf_transformation,[],[f131]) ).
fof(f3365,plain,
( ~ spl138_313
| ~ spl138_200 ),
inference(avatar_split_clause,[],[f1063,f2218,f3361]) ).
fof(f1063,plain,
( e10 != op1(e12,e12)
| ~ sP108 ),
inference(cnf_transformation,[],[f264]) ).
fof(f3363,plain,
( ~ spl138_313
| ~ spl138_177 ),
inference(avatar_split_clause,[],[f1065,f2123,f3361]) ).
fof(f1065,plain,
( e13 != op1(e13,e10)
| ~ sP108 ),
inference(cnf_transformation,[],[f264]) ).
fof(f3359,plain,
~ spl138_312,
inference(avatar_split_clause,[],[f3358,f3353]) ).
fof(f3358,plain,
~ sP109,
inference(subsumption_resolution,[],[f1058,f1852]) ).
fof(f1852,plain,
e12 != op1(e12,e11),
inference(backward_demodulation,[],[f449,f540]) ).
fof(f449,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1058,plain,
( e12 = op1(e12,e11)
| ~ sP109 ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP109 ),
inference(nnf_transformation,[],[f132]) ).
fof(f3348,plain,
~ spl138_311,
inference(avatar_split_clause,[],[f3347,f3342]) ).
fof(f3347,plain,
~ sP111,
inference(subsumption_resolution,[],[f1050,f1852]) ).
fof(f1050,plain,
( e12 = op1(e12,e11)
| ~ sP111 ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e12,e12)
& e12 = op1(e12,e11) )
| ~ sP111 ),
inference(nnf_transformation,[],[f134]) ).
fof(f3338,plain,
( ~ spl138_310
| spl138_192 ),
inference(avatar_split_clause,[],[f1042,f2186,f3333]) ).
fof(f1042,plain,
( e12 = op1(e12,e12)
| ~ sP113 ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP113 ),
inference(nnf_transformation,[],[f136]) ).
fof(f3337,plain,
( ~ spl138_310
| ~ spl138_192 ),
inference(avatar_split_clause,[],[f1043,f2186,f3333]) ).
fof(f1043,plain,
( e12 != op1(e12,e12)
| ~ sP113 ),
inference(cnf_transformation,[],[f259]) ).
fof(f3331,plain,
( ~ spl138_309
| spl138_192 ),
inference(avatar_split_clause,[],[f1038,f2186,f3327]) ).
fof(f1038,plain,
( e12 = op1(e12,e12)
| ~ sP114 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP114 ),
inference(nnf_transformation,[],[f137]) ).
fof(f3330,plain,
( ~ spl138_309
| ~ spl138_192 ),
inference(avatar_split_clause,[],[f1039,f2186,f3327]) ).
fof(f1039,plain,
( e12 != op1(e12,e12)
| ~ sP114 ),
inference(cnf_transformation,[],[f258]) ).
fof(f3325,plain,
( ~ spl138_308
| spl138_192 ),
inference(avatar_split_clause,[],[f1034,f2186,f3320]) ).
fof(f1034,plain,
( e12 = op1(e12,e12)
| ~ sP115 ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP115 ),
inference(nnf_transformation,[],[f138]) ).
fof(f3324,plain,
( ~ spl138_308
| ~ spl138_192 ),
inference(avatar_split_clause,[],[f1035,f2186,f3320]) ).
fof(f1035,plain,
( e12 != op1(e12,e12)
| ~ sP115 ),
inference(cnf_transformation,[],[f257]) ).
fof(f3316,plain,
~ spl138_307,
inference(avatar_split_clause,[],[f3315,f3311]) ).
fof(f3315,plain,
~ sP116,
inference(subsumption_resolution,[],[f3314,f419]) ).
fof(f3314,plain,
( e10 = e12
| ~ sP116 ),
inference(forward_demodulation,[],[f1032,f1864]) ).
fof(f1032,plain,
( e12 = op1(e13,e13)
| ~ sP116 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP116 ),
inference(nnf_transformation,[],[f139]) ).
fof(f3309,plain,
( ~ spl138_306
| spl138_180 ),
inference(avatar_split_clause,[],[f1026,f2136,f3306]) ).
fof(f1026,plain,
( e12 = op1(e12,e13)
| ~ sP117 ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP117 ),
inference(nnf_transformation,[],[f140]) ).
fof(f3308,plain,
( ~ spl138_306
| spl138_208 ),
inference(avatar_split_clause,[],[f1028,f2267,f3306]) ).
fof(f1028,plain,
( op1(e10,e10) = e13
| ~ sP117 ),
inference(cnf_transformation,[],[f255]) ).
fof(f3303,plain,
~ spl138_305,
inference(avatar_split_clause,[],[f3302,f3298]) ).
fof(f3302,plain,
~ sP118,
inference(subsumption_resolution,[],[f3301,f423]) ).
fof(f3301,plain,
( e12 = e13
| ~ sP118 ),
inference(forward_demodulation,[],[f1024,f540]) ).
fof(f1024,plain,
( e13 = op1(e11,e11)
| ~ sP118 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP118 ),
inference(nnf_transformation,[],[f141]) ).
fof(f3295,plain,
~ spl138_304,
inference(avatar_split_clause,[],[f3294,f3290]) ).
fof(f3294,plain,
~ sP119,
inference(subsumption_resolution,[],[f1020,f1861]) ).
fof(f1020,plain,
( e13 = op1(e12,e12)
| ~ sP119 ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
( ( e12 != op1(e12,e13)
& e13 = op1(e12,e12)
& e13 != op1(e12,e12)
& e12 = op1(e12,e13) )
| ~ sP119 ),
inference(nnf_transformation,[],[f142]) ).
fof(f3284,plain,
~ spl138_303,
inference(avatar_split_clause,[],[f3283,f3278]) ).
fof(f3283,plain,
~ sP121,
inference(subsumption_resolution,[],[f1011,f1864]) ).
fof(f1011,plain,
( e10 != op1(e13,e13)
| ~ sP121 ),
inference(cnf_transformation,[],[f251]) ).
fof(f251,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP121 ),
inference(nnf_transformation,[],[f144]) ).
fof(f3274,plain,
~ spl138_302,
inference(avatar_split_clause,[],[f3273,f3269]) ).
fof(f3273,plain,
~ sP122,
inference(subsumption_resolution,[],[f3272,f419]) ).
fof(f3272,plain,
( e10 = e12
| ~ sP122 ),
inference(forward_demodulation,[],[f1008,f540]) ).
fof(f1008,plain,
( e10 = op1(e11,e11)
| ~ sP122 ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
( ( e11 != op1(e11,e10)
& e10 = op1(e11,e11)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP122 ),
inference(nnf_transformation,[],[f145]) ).
fof(f3266,plain,
~ spl138_301,
inference(avatar_split_clause,[],[f3265,f3261]) ).
fof(f3265,plain,
~ sP123,
inference(subsumption_resolution,[],[f1003,f1864]) ).
fof(f1003,plain,
( e10 != op1(e13,e13)
| ~ sP123 ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
( ( e12 != op1(e12,e10)
& e10 = op1(e12,e12)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP123 ),
inference(nnf_transformation,[],[f146]) ).
fof(f3258,plain,
~ spl138_300,
inference(avatar_split_clause,[],[f3257,f3253]) ).
fof(f3257,plain,
~ sP124,
inference(subsumption_resolution,[],[f999,f1864]) ).
fof(f999,plain,
( e10 != op1(e13,e13)
| ~ sP124 ),
inference(cnf_transformation,[],[f248]) ).
fof(f248,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e13,e13)
& e10 != op1(e13,e13)
& e13 = op1(e13,e10) )
| ~ sP124 ),
inference(nnf_transformation,[],[f147]) ).
fof(f3251,plain,
~ spl138_299,
inference(avatar_split_clause,[],[f3250,f3245]) ).
fof(f3250,plain,
~ sP125,
inference(subsumption_resolution,[],[f994,f1859]) ).
fof(f1859,plain,
e13 != op1(e13,e11),
inference(backward_demodulation,[],[f451,f1857]) ).
fof(f451,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f994,plain,
( e13 = op1(e13,e11)
| ~ sP125 ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
( ( e10 != op1(e10,e11)
& op1(e10,e10) = e11
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP125 ),
inference(nnf_transformation,[],[f148]) ).
fof(f3240,plain,
~ spl138_298,
inference(avatar_split_clause,[],[f3239,f3235]) ).
fof(f3239,plain,
~ sP127,
inference(subsumption_resolution,[],[f986,f1859]) ).
fof(f986,plain,
( e13 = op1(e13,e11)
| ~ sP127 ),
inference(cnf_transformation,[],[f245]) ).
fof(f245,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e12,e12)
& e11 != op1(e13,e13)
& e13 = op1(e13,e11) )
| ~ sP127 ),
inference(nnf_transformation,[],[f150]) ).
fof(f3231,plain,
( ~ spl138_297
| spl138_178 ),
inference(avatar_split_clause,[],[f978,f2126,f3226]) ).
fof(f978,plain,
( e13 = op1(e13,e12)
| ~ sP129 ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
( ( e10 != op1(e10,e12)
& op1(e10,e10) = e12
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP129 ),
inference(nnf_transformation,[],[f152]) ).
fof(f3229,plain,
( ~ spl138_297
| spl138_209 ),
inference(avatar_split_clause,[],[f980,f2274,f3226]) ).
fof(f980,plain,
( op1(e10,e10) = e12
| ~ sP129 ),
inference(cnf_transformation,[],[f243]) ).
fof(f3224,plain,
( ~ spl138_296
| spl138_178 ),
inference(avatar_split_clause,[],[f974,f2126,f3219]) ).
fof(f974,plain,
( e13 = op1(e13,e12)
| ~ sP130 ),
inference(cnf_transformation,[],[f242]) ).
fof(f242,plain,
( ( e11 != op1(e11,e12)
& e12 = op1(e11,e11)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP130 ),
inference(nnf_transformation,[],[f153]) ).
fof(f3222,plain,
( ~ spl138_296
| ~ spl138_195 ),
inference(avatar_split_clause,[],[f977,f2198,f3219]) ).
fof(f977,plain,
( e11 != op1(e11,e12)
| ~ sP130 ),
inference(cnf_transformation,[],[f242]) ).
fof(f3215,plain,
( ~ spl138_295
| spl138_192 ),
inference(avatar_split_clause,[],[f972,f2186,f3211]) ).
fof(f972,plain,
( e12 = op1(e12,e12)
| ~ sP131 ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP131 ),
inference(nnf_transformation,[],[f154]) ).
fof(f3214,plain,
( ~ spl138_295
| ~ spl138_192 ),
inference(avatar_split_clause,[],[f973,f2186,f3211]) ).
fof(f973,plain,
( e12 != op1(e12,e12)
| ~ sP131 ),
inference(cnf_transformation,[],[f241]) ).
fof(f3207,plain,
~ spl138_294,
inference(avatar_split_clause,[],[f3206,f3202]) ).
fof(f3206,plain,
~ sP132,
inference(subsumption_resolution,[],[f3205,f419]) ).
fof(f3205,plain,
( e10 = e12
| ~ sP132 ),
inference(forward_demodulation,[],[f968,f1864]) ).
fof(f968,plain,
( e12 = op1(e13,e13)
| ~ sP132 ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
( ( e13 != op1(e13,e12)
& e12 = op1(e13,e13)
& e12 != op1(e13,e13)
& e13 = op1(e13,e12) )
| ~ sP132 ),
inference(nnf_transformation,[],[f155]) ).
fof(f3200,plain,
~ spl138_293,
inference(avatar_split_clause,[],[f3199,f3194]) ).
fof(f3199,plain,
~ sP133,
inference(subsumption_resolution,[],[f3198,f420]) ).
fof(f3198,plain,
( e10 = e13
| ~ sP133 ),
inference(forward_demodulation,[],[f962,f1864]) ).
fof(f962,plain,
( e13 = op1(e13,e13)
| ~ sP133 ),
inference(cnf_transformation,[],[f239]) ).
fof(f239,plain,
( ( e10 != op1(e10,e13)
& op1(e10,e10) = e13
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP133 ),
inference(nnf_transformation,[],[f156]) ).
fof(f3189,plain,
~ spl138_292,
inference(avatar_split_clause,[],[f3188,f3183]) ).
fof(f3188,plain,
~ sP134,
inference(subsumption_resolution,[],[f3187,f423]) ).
fof(f3187,plain,
( e12 = e13
| ~ sP134 ),
inference(forward_demodulation,[],[f960,f540]) ).
fof(f960,plain,
( e13 = op1(e11,e11)
| ~ sP134 ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
( ( e11 != op1(e11,e13)
& e13 = op1(e11,e11)
& e13 != op1(e13,e13)
& e13 = op1(e13,e13) )
| ~ sP134 ),
inference(nnf_transformation,[],[f157]) ).
fof(f3177,plain,
( ~ spl138_287
| spl138_290 ),
inference(avatar_split_clause,[],[f951,f3175,f3158]) ).
fof(f951,plain,
( e11 = op1(e10,op1(e10,e11))
| ~ sP135 ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
( ( ( e10 = op1(e13,e13)
| e13 != op1(e13,e10) )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10) )
& ( e10 = op1(e11,e11)
| e11 != op1(e11,e10) )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& e13 = op1(e10,op1(e10,e13))
& e12 = op1(e10,op1(e10,e12))
& e11 = op1(e10,op1(e10,e11))
& e10 = op1(e10,op1(e10,e10)) )
| ~ sP135 ),
inference(nnf_transformation,[],[f158]) ).
fof(f3165,plain,
( ~ spl138_287
| ~ spl138_204 ),
inference(avatar_split_clause,[],[f3163,f2245,f3158]) ).
fof(f3163,plain,
( e11 != op1(e11,e10)
| ~ sP135 ),
inference(subsumption_resolution,[],[f3162,f419]) ).
fof(f3162,plain,
( e10 = e12
| e11 != op1(e11,e10)
| ~ sP135 ),
inference(forward_demodulation,[],[f955,f540]) ).
fof(f955,plain,
( e10 = op1(e11,e11)
| e11 != op1(e11,e10)
| ~ sP135 ),
inference(cnf_transformation,[],[f237]) ).
fof(f3142,plain,
( ~ spl138_283
| ~ spl138_205
| spl138_210 ),
inference(avatar_split_clause,[],[f946,f2280,f2252,f3139]) ).
fof(f946,plain,
( op1(e10,e10) = e11
| e10 != op1(e10,e11)
| ~ sP136 ),
inference(cnf_transformation,[],[f236]) ).
fof(f236,plain,
( ( ( e11 = op1(e13,e13)
| e13 != op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e12 != op1(e12,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( op1(e10,e10) = e11
| e10 != op1(e10,e11) )
& e13 = op1(e11,op1(e11,e13))
& e12 = op1(e11,op1(e11,e12))
& e11 = op1(e11,op1(e11,e11))
& e10 = op1(e11,op1(e11,e10)) )
| ~ sP136 ),
inference(nnf_transformation,[],[f159]) ).
fof(f3133,plain,
( ~ spl138_279
| spl138_185 ),
inference(avatar_split_clause,[],[f3132,f2158,f3118]) ).
fof(f3132,plain,
( e11 = op1(e12,e13)
| ~ sP137 ),
inference(forward_demodulation,[],[f935,f1857]) ).
fof(f935,plain,
( e11 = op1(e12,op1(e12,e11))
| ~ sP137 ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
( ( ( e12 = op1(e13,e13)
| e13 != op1(e13,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e11,e11)
| e11 != op1(e11,e12) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12) )
& e13 = op1(e12,op1(e12,e13))
& e12 = op1(e12,op1(e12,e12))
& e11 = op1(e12,op1(e12,e11))
& e10 = op1(e12,op1(e12,e10)) )
| ~ sP137 ),
inference(nnf_transformation,[],[f160]) ).
fof(f3121,plain,
( ~ spl138_279
| ~ spl138_178 ),
inference(avatar_split_clause,[],[f3116,f2126,f3118]) ).
fof(f3116,plain,
( e13 != op1(e13,e12)
| ~ sP137 ),
inference(subsumption_resolution,[],[f3115,f419]) ).
fof(f3115,plain,
( e10 = e12
| e13 != op1(e13,e12)
| ~ sP137 ),
inference(forward_demodulation,[],[f941,f1864]) ).
fof(f941,plain,
( e12 = op1(e13,e13)
| e13 != op1(e13,e12)
| ~ sP137 ),
inference(cnf_transformation,[],[f235]) ).
fof(f3114,plain,
( spl138_275
| spl138_274
| spl138_273
| spl138_272
| spl138_271
| spl138_270
| spl138_269
| spl138_268
| spl138_267
| spl138_266
| spl138_265
| spl138_264
| spl138_263
| spl138_262
| spl138_261
| spl138_260
| spl138_259
| spl138_258
| spl138_257
| spl138_256
| spl138_255
| spl138_254
| spl138_253
| spl138_252
| spl138_251
| spl138_250
| spl138_249
| spl138_248
| spl138_247
| spl138_246
| spl138_245
| spl138_244
| spl138_243
| spl138_242
| spl138_241
| spl138_240
| spl138_239
| spl138_238
| spl138_237
| spl138_236
| spl138_235
| spl138_234
| spl138_233
| spl138_232
| spl138_231
| spl138_230
| spl138_229
| spl138_228
| spl138_227
| spl138_226
| spl138_225 ),
inference(avatar_split_clause,[],[f3113,f2395,f2407,f2415,f2425,f2433,f2440,f2451,f2461,f2470,f2478,f2487,f2497,f2509,f2519,f2530,f2537,f2549,f2559,f2567,f2580,f2591,f2601,f2608,f2617,f2628,f2640,f2648,f2658,f2664,f2674,f2683,f2690,f2702,f2713,f2723,f2729,f2737,f2747,f2758,f2768,f2779,f2787,f2798,f2807,f2814,f2826,f2836,f2845,f2853,f2863,f2875]) ).
fof(f2875,plain,
( spl138_275
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_275])]) ).
fof(f2863,plain,
( spl138_274
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_274])]) ).
fof(f2853,plain,
( spl138_273
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_273])]) ).
fof(f2845,plain,
( spl138_272
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_272])]) ).
fof(f2836,plain,
( spl138_271
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_271])]) ).
fof(f2826,plain,
( spl138_270
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_270])]) ).
fof(f2814,plain,
( spl138_269
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_269])]) ).
fof(f2807,plain,
( spl138_268
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_268])]) ).
fof(f2798,plain,
( spl138_267
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_267])]) ).
fof(f2787,plain,
( spl138_266
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_266])]) ).
fof(f2779,plain,
( spl138_265
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_265])]) ).
fof(f2768,plain,
( spl138_264
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_264])]) ).
fof(f2758,plain,
( spl138_263
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_263])]) ).
fof(f2747,plain,
( spl138_262
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_262])]) ).
fof(f2737,plain,
( spl138_261
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_261])]) ).
fof(f2729,plain,
( spl138_260
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_260])]) ).
fof(f2723,plain,
( spl138_259
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_259])]) ).
fof(f2713,plain,
( spl138_258
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_258])]) ).
fof(f2702,plain,
( spl138_257
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_257])]) ).
fof(f2690,plain,
( spl138_256
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_256])]) ).
fof(f2683,plain,
( spl138_255
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_255])]) ).
fof(f2674,plain,
( spl138_254
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_254])]) ).
fof(f2664,plain,
( spl138_253
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_253])]) ).
fof(f2658,plain,
( spl138_252
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_252])]) ).
fof(f2648,plain,
( spl138_251
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_251])]) ).
fof(f2640,plain,
( spl138_250
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_250])]) ).
fof(f2628,plain,
( spl138_249
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_249])]) ).
fof(f2617,plain,
( spl138_248
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_248])]) ).
fof(f2608,plain,
( spl138_247
<=> sP42 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_247])]) ).
fof(f2601,plain,
( spl138_246
<=> sP43 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_246])]) ).
fof(f2591,plain,
( spl138_245
<=> sP44 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_245])]) ).
fof(f2580,plain,
( spl138_244
<=> sP46 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_244])]) ).
fof(f2567,plain,
( spl138_243
<=> sP48 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_243])]) ).
fof(f2559,plain,
( spl138_242
<=> sP49 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_242])]) ).
fof(f2549,plain,
( spl138_241
<=> sP50 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_241])]) ).
fof(f2537,plain,
( spl138_240
<=> sP51 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_240])]) ).
fof(f2530,plain,
( spl138_239
<=> sP52 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_239])]) ).
fof(f2519,plain,
( spl138_238
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_238])]) ).
fof(f2509,plain,
( spl138_237
<=> sP54 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_237])]) ).
fof(f2497,plain,
( spl138_236
<=> sP56 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_236])]) ).
fof(f2487,plain,
( spl138_235
<=> sP57 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_235])]) ).
fof(f2478,plain,
( spl138_234
<=> sP58 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_234])]) ).
fof(f2470,plain,
( spl138_233
<=> sP59 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_233])]) ).
fof(f2461,plain,
( spl138_232
<=> sP60 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_232])]) ).
fof(f2451,plain,
( spl138_231
<=> sP62 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_231])]) ).
fof(f2440,plain,
( spl138_230
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_230])]) ).
fof(f2433,plain,
( spl138_229
<=> sP65 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_229])]) ).
fof(f2425,plain,
( spl138_228
<=> sP66 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_228])]) ).
fof(f2415,plain,
( spl138_227
<=> sP67 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_227])]) ).
fof(f2407,plain,
( spl138_226
<=> sP68 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_226])]) ).
fof(f2395,plain,
( spl138_225
<=> sP69 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_225])]) ).
fof(f3113,plain,
( sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP14
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3112,f398]) ).
fof(f398,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3112,plain,
( e20 = e23
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP14
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(forward_demodulation,[],[f3111,f1836]) ).
fof(f3111,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP14
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3110,f2834]) ).
fof(f2834,plain,
~ sP13,
inference(subsumption_resolution,[],[f2833,f399]) ).
fof(f2833,plain,
( e21 = e22
| ~ sP13 ),
inference(forward_demodulation,[],[f888,f537]) ).
fof(f888,plain,
( e21 = op2(e21,e21)
| ~ sP13 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f3110,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3109,f2823]) ).
fof(f2823,plain,
~ sP15,
inference(subsumption_resolution,[],[f2822,f396]) ).
fof(f2822,plain,
( e20 = e21
| ~ sP15 ),
inference(forward_demodulation,[],[f880,f1836]) ).
fof(f880,plain,
( e21 = op2(e23,e23)
| ~ sP15 ),
inference(cnf_transformation,[],[f227]) ).
fof(f227,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP15 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f3109,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3108,f2756]) ).
fof(f2756,plain,
~ sP23,
inference(subsumption_resolution,[],[f2755,f398]) ).
fof(f2755,plain,
( e20 = e23
| ~ sP23 ),
inference(forward_demodulation,[],[f848,f1836]) ).
fof(f848,plain,
( e23 = op2(e23,e23)
| ~ sP23 ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f3108,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3107,f2711]) ).
fof(f2711,plain,
~ sP29,
inference(subsumption_resolution,[],[f2710,f399]) ).
fof(f2710,plain,
( e21 = e22
| ~ sP29 ),
inference(forward_demodulation,[],[f824,f537]) ).
fof(f824,plain,
( e21 = op2(e21,e21)
| ~ sP29 ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP29 ),
inference(nnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f3107,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3106,f2699]) ).
fof(f2699,plain,
~ sP31,
inference(subsumption_resolution,[],[f2698,f396]) ).
fof(f2698,plain,
( e20 = e21
| ~ sP31 ),
inference(forward_demodulation,[],[f816,f1836]) ).
fof(f816,plain,
( e21 = op2(e23,e23)
| ~ sP31 ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP31 ),
inference(nnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f3106,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3105,f2638]) ).
fof(f2638,plain,
~ sP39,
inference(subsumption_resolution,[],[f2637,f398]) ).
fof(f2637,plain,
( e20 = e23
| ~ sP39 ),
inference(forward_demodulation,[],[f784,f1836]) ).
fof(f784,plain,
( e23 = op2(e23,e23)
| ~ sP39 ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP39 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f3105,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3104,f2589]) ).
fof(f2589,plain,
~ sP45,
inference(subsumption_resolution,[],[f2588,f399]) ).
fof(f2588,plain,
( e21 = e22
| ~ sP45 ),
inference(forward_demodulation,[],[f760,f537]) ).
fof(f760,plain,
( e21 = op2(e21,e21)
| ~ sP45 ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP45 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP45 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f3104,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3103,f2577]) ).
fof(f2577,plain,
~ sP47,
inference(subsumption_resolution,[],[f2576,f396]) ).
fof(f2576,plain,
( e20 = e21
| ~ sP47 ),
inference(forward_demodulation,[],[f752,f1836]) ).
fof(f752,plain,
( e21 = op2(e23,e23)
| ~ sP47 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP47 ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP47 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f3103,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3102,f2507]) ).
fof(f2507,plain,
~ sP55,
inference(subsumption_resolution,[],[f2506,f398]) ).
fof(f2506,plain,
( e20 = e23
| ~ sP55 ),
inference(forward_demodulation,[],[f720,f1836]) ).
fof(f720,plain,
( e23 = op2(e23,e23)
| ~ sP55 ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP55 ),
inference(nnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f3102,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f3101,f2459]) ).
fof(f2459,plain,
~ sP61,
inference(subsumption_resolution,[],[f2458,f399]) ).
fof(f2458,plain,
( e21 = e22
| ~ sP61 ),
inference(forward_demodulation,[],[f696,f537]) ).
fof(f696,plain,
( e21 = op2(e21,e21)
| ~ sP61 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP61 ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP61 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f3101,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(subsumption_resolution,[],[f1234,f2448]) ).
fof(f2448,plain,
~ sP63,
inference(subsumption_resolution,[],[f2447,f396]) ).
fof(f2447,plain,
( e20 = e21
| ~ sP63 ),
inference(forward_demodulation,[],[f688,f1836]) ).
fof(f688,plain,
( e21 = op2(e23,e23)
| ~ sP63 ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP63 ),
inference(nnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f1234,plain,
( e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(duplicate_literal_removal,[],[f910]) ).
fof(f910,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e23)
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| sP72
| sP71
| sP70 )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8 ) ),
inference(definition_folding,[],[f11,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30]) ).
fof(f30,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f31,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f33,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f34,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f46,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f49,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f50,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f55,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f56,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f57,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f58,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f59,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f60,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f63,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f64,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP42 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f65,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP43 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f66,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP44 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f68,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP46 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f70,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP48 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f71,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP49 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f72,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP50 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f73,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP51 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f74,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP52 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f75,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f76,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f78,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f79,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP57 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f80,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP58 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f81,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP59 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f82,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP60 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f84,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP62 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f86,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f87,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f88,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f89,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f90,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f91,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP69 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f92,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f93,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP71 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f94,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP72 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f11,axiom,
( ( ( ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e22,e22)
| e22 != op2(e22,e23) )
& ( e23 = op2(e21,e21)
| e21 != op2(e21,e23) )
& ( op2(e20,e20) = e23
| e20 != op2(e20,e23) )
& e23 = op2(e23,op2(e23,e23))
& e22 = op2(e23,op2(e23,e22))
& e21 = op2(e23,op2(e23,e21))
& e20 = op2(e23,op2(e23,e20)) )
| ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) ) )
& ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ( e23 != op2(e23,e21)
& e21 = op2(e23,e23)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2893,plain,
( spl138_220
| spl138_216
| spl138_212
| spl138_138 ),
inference(avatar_split_clause,[],[f2892,f1884,f2323,f2347,f2367]) ).
fof(f2367,plain,
( spl138_220
<=> sP70 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_220])]) ).
fof(f2347,plain,
( spl138_216
<=> sP71 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_216])]) ).
fof(f2323,plain,
( spl138_212
<=> sP72 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_212])]) ).
fof(f2892,plain,
( e23 = op2(e23,e20)
| sP72
| sP71
| sP70 ),
inference(forward_demodulation,[],[f929,f1836]) ).
fof(f929,plain,
( e23 = op2(e23,op2(e23,e23))
| sP72
| sP71
| sP70 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2888,plain,
( spl138_220
| spl138_216
| spl138_212
| ~ spl138_140
| spl138_86 ),
inference(avatar_split_clause,[],[f2884,f1550,f1895,f2323,f2347,f2367]) ).
fof(f1550,plain,
( spl138_86
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl138_86])]) ).
fof(f2884,plain,
( e23 = h3(e12)
| e22 != op2(e22,e23)
| sP72
| sP71
| sP70 ),
inference(forward_demodulation,[],[f932,f434]) ).
fof(f932,plain,
( e23 = op2(e22,e22)
| e22 != op2(e22,e23)
| sP72
| sP71
| sP70 ),
inference(cnf_transformation,[],[f95]) ).
fof(f2883,plain,
( ~ spl138_275
| spl138_38 ),
inference(avatar_split_clause,[],[f2882,f1379,f2875]) ).
fof(f2882,plain,
( e20 = h1(e12)
| ~ sP8 ),
inference(forward_demodulation,[],[f906,f430]) ).
fof(f906,plain,
( e20 = op2(e20,e20)
| ~ sP8 ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP8 ),
inference(nnf_transformation,[],[f30]) ).
fof(f2868,plain,
~ spl138_274,
inference(avatar_split_clause,[],[f2867,f2863]) ).
fof(f2867,plain,
~ sP9,
inference(subsumption_resolution,[],[f2866,f397]) ).
fof(f2866,plain,
( e20 = e22
| ~ sP9 ),
inference(forward_demodulation,[],[f904,f537]) ).
fof(f904,plain,
( e20 = op2(e21,e21)
| ~ sP9 ),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP9 ),
inference(nnf_transformation,[],[f31]) ).
fof(f2861,plain,
( ~ spl138_273
| spl138_38 ),
inference(avatar_split_clause,[],[f2860,f1379,f2853]) ).
fof(f2860,plain,
( e20 = h1(e12)
| ~ sP10 ),
inference(forward_demodulation,[],[f898,f430]) ).
fof(f898,plain,
( e20 = op2(e20,e20)
| ~ sP10 ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP10 ),
inference(nnf_transformation,[],[f32]) ).
fof(f2851,plain,
( ~ spl138_272
| spl138_38 ),
inference(avatar_split_clause,[],[f2850,f1379,f2845]) ).
fof(f2850,plain,
( e20 = h1(e12)
| ~ sP11 ),
inference(forward_demodulation,[],[f894,f430]) ).
fof(f894,plain,
( e20 = op2(e20,e20)
| ~ sP11 ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP11 ),
inference(nnf_transformation,[],[f33]) ).
fof(f2838,plain,
( ~ spl138_271
| ~ spl138_162 ),
inference(avatar_split_clause,[],[f893,f2012,f2836]) ).
fof(f893,plain,
( e20 != op2(e20,e21)
| ~ sP12 ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f2830,plain,
( ~ spl138_270
| ~ spl138_33 ),
inference(avatar_split_clause,[],[f2829,f1360,f2826]) ).
fof(f2829,plain,
( e21 != h1(e12)
| ~ sP14 ),
inference(forward_demodulation,[],[f883,f430]) ).
fof(f883,plain,
( op2(e20,e20) != e21
| ~ sP14 ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& op2(e20,e20) != e21
& e20 = op2(e20,e21) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f2828,plain,
( ~ spl138_270
| spl138_13 ),
inference(avatar_split_clause,[],[f2824,f1284,f2826]) ).
fof(f2824,plain,
( e21 = h3(e12)
| ~ sP14 ),
inference(forward_demodulation,[],[f884,f434]) ).
fof(f884,plain,
( e21 = op2(e22,e22)
| ~ sP14 ),
inference(cnf_transformation,[],[f228]) ).
fof(f2821,plain,
( ~ spl138_269
| spl138_155 ),
inference(avatar_split_clause,[],[f874,f1972,f2814]) ).
fof(f874,plain,
( e20 = op2(e20,e22)
| ~ sP16 ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP16 ),
inference(nnf_transformation,[],[f38]) ).
fof(f2812,plain,
( ~ spl138_268
| spl138_155 ),
inference(avatar_split_clause,[],[f870,f1972,f2807]) ).
fof(f870,plain,
( e20 = op2(e20,e22)
| ~ sP17 ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP17 ),
inference(nnf_transformation,[],[f39]) ).
fof(f2805,plain,
( ~ spl138_267
| spl138_155 ),
inference(avatar_split_clause,[],[f866,f1972,f2798]) ).
fof(f866,plain,
( e20 = op2(e20,e22)
| ~ sP18 ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP18 ),
inference(nnf_transformation,[],[f40]) ).
fof(f2792,plain,
~ spl138_266,
inference(avatar_split_clause,[],[f2791,f2787]) ).
fof(f2791,plain,
~ sP19,
inference(subsumption_resolution,[],[f2790,f397]) ).
fof(f2790,plain,
( e20 = e22
| ~ sP19 ),
inference(forward_demodulation,[],[f864,f1836]) ).
fof(f864,plain,
( e22 = op2(e23,e23)
| ~ sP19 ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& op2(e20,e20) != e22
& e20 = op2(e20,e22) )
| ~ sP19 ),
inference(nnf_transformation,[],[f41]) ).
fof(f2785,plain,
~ spl138_265,
inference(avatar_split_clause,[],[f2784,f2779]) ).
fof(f2784,plain,
~ sP20,
inference(subsumption_resolution,[],[f858,f1845]) ).
fof(f1845,plain,
e20 != op2(e20,e23),
inference(backward_demodulation,[],[f1818,f1837]) ).
fof(f1818,plain,
op2(e20,e23) != h2(e10),
inference(backward_demodulation,[],[f1795,f1811]) ).
fof(f1795,plain,
op2(e20,e23) != h4(e12),
inference(forward_demodulation,[],[f508,f426]) ).
fof(f508,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f858,plain,
( e20 = op2(e20,e23)
| ~ sP20 ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP20 ),
inference(nnf_transformation,[],[f42]) ).
fof(f2773,plain,
~ spl138_264,
inference(avatar_split_clause,[],[f2772,f2768]) ).
fof(f2772,plain,
~ sP21,
inference(subsumption_resolution,[],[f2771,f401]) ).
fof(f2771,plain,
( e22 = e23
| ~ sP21 ),
inference(forward_demodulation,[],[f856,f537]) ).
fof(f856,plain,
( e23 = op2(e21,e21)
| ~ sP21 ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2766,plain,
~ spl138_263,
inference(avatar_split_clause,[],[f2765,f2758]) ).
fof(f2765,plain,
~ sP22,
inference(subsumption_resolution,[],[f850,f1845]) ).
fof(f850,plain,
( e20 = op2(e20,e23)
| ~ sP22 ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& op2(e20,e20) != e23
& e20 = op2(e20,e23) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f2751,plain,
( ~ spl138_262
| spl138_38 ),
inference(avatar_split_clause,[],[f2750,f1379,f2747]) ).
fof(f2750,plain,
( e20 = h1(e12)
| ~ sP24 ),
inference(forward_demodulation,[],[f844,f430]) ).
fof(f844,plain,
( e20 = op2(e20,e20)
| ~ sP24 ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2742,plain,
~ spl138_261,
inference(avatar_split_clause,[],[f2741,f2737]) ).
fof(f2741,plain,
~ sP25,
inference(subsumption_resolution,[],[f2740,f397]) ).
fof(f2740,plain,
( e20 = e22
| ~ sP25 ),
inference(forward_demodulation,[],[f840,f537]) ).
fof(f840,plain,
( e20 = op2(e21,e21)
| ~ sP25 ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2733,plain,
( ~ spl138_260
| spl138_18 ),
inference(avatar_split_clause,[],[f2732,f1303,f2729]) ).
fof(f2732,plain,
( e20 = h3(e12)
| ~ sP26 ),
inference(forward_demodulation,[],[f836,f434]) ).
fof(f836,plain,
( e20 = op2(e22,e22)
| ~ sP26 ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2731,plain,
( ~ spl138_260
| ~ spl138_151 ),
inference(avatar_split_clause,[],[f837,f1951,f2729]) ).
fof(f837,plain,
( e22 != op2(e22,e20)
| ~ sP26 ),
inference(cnf_transformation,[],[f216]) ).
fof(f2727,plain,
( ~ spl138_259
| spl138_161 ),
inference(avatar_split_clause,[],[f830,f2005,f2723]) ).
fof(f830,plain,
( e21 = op2(e21,e20)
| ~ sP27 ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e21,e21)
& e21 = op2(e21,e20) )
| ~ sP27 ),
inference(nnf_transformation,[],[f49]) ).
fof(f2721,plain,
~ spl138_258,
inference(avatar_split_clause,[],[f2720,f2713]) ).
fof(f2720,plain,
~ sP28,
inference(subsumption_resolution,[],[f2719,f399]) ).
fof(f2719,plain,
( e21 = e22
| ~ sP28 ),
inference(forward_demodulation,[],[f826,f537]) ).
fof(f826,plain,
( e21 = op2(e21,e21)
| ~ sP28 ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP28 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2708,plain,
~ spl138_257,
inference(avatar_split_clause,[],[f2707,f2702]) ).
fof(f2707,plain,
~ sP30,
inference(subsumption_resolution,[],[f2706,f399]) ).
fof(f2706,plain,
( e21 = e22
| ~ sP30 ),
inference(forward_demodulation,[],[f818,f537]) ).
fof(f818,plain,
( e21 = op2(e21,e21)
| ~ sP30 ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP30 ),
inference(nnf_transformation,[],[f52]) ).
fof(f2696,plain,
~ spl138_256,
inference(avatar_split_clause,[],[f2695,f2690]) ).
fof(f2695,plain,
~ sP32,
inference(subsumption_resolution,[],[f811,f537]) ).
fof(f811,plain,
( e22 != op2(e21,e21)
| ~ sP32 ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP32 ),
inference(nnf_transformation,[],[f54]) ).
fof(f2687,plain,
~ spl138_255,
inference(avatar_split_clause,[],[f2686,f2683]) ).
fof(f2686,plain,
~ sP33,
inference(subsumption_resolution,[],[f807,f537]) ).
fof(f807,plain,
( e22 != op2(e21,e21)
| ~ sP33 ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP33 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2680,plain,
~ spl138_254,
inference(avatar_split_clause,[],[f2679,f2674]) ).
fof(f2679,plain,
~ sP34,
inference(subsumption_resolution,[],[f803,f537]) ).
fof(f803,plain,
( e22 != op2(e21,e21)
| ~ sP34 ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP34 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2669,plain,
~ spl138_253,
inference(avatar_split_clause,[],[f2668,f2664]) ).
fof(f2668,plain,
~ sP35,
inference(subsumption_resolution,[],[f2667,f397]) ).
fof(f2667,plain,
( e20 = e22
| ~ sP35 ),
inference(forward_demodulation,[],[f800,f1836]) ).
fof(f800,plain,
( e22 = op2(e23,e23)
| ~ sP35 ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e21,e21)
& e21 = op2(e21,e22) )
| ~ sP35 ),
inference(nnf_transformation,[],[f57]) ).
fof(f2662,plain,
( ~ spl138_252
| spl138_143 ),
inference(avatar_split_clause,[],[f794,f1913,f2658]) ).
fof(f794,plain,
( e21 = op2(e21,e23)
| ~ sP36 ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP36 ),
inference(nnf_transformation,[],[f58]) ).
fof(f2653,plain,
~ spl138_251,
inference(avatar_split_clause,[],[f2652,f2648]) ).
fof(f2652,plain,
~ sP37,
inference(subsumption_resolution,[],[f2651,f401]) ).
fof(f2651,plain,
( e22 = e23
| ~ sP37 ),
inference(forward_demodulation,[],[f792,f537]) ).
fof(f792,plain,
( e23 = op2(e21,e21)
| ~ sP37 ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP37 ),
inference(nnf_transformation,[],[f59]) ).
fof(f2644,plain,
( ~ spl138_250
| spl138_86 ),
inference(avatar_split_clause,[],[f2643,f1550,f2640]) ).
fof(f2643,plain,
( e23 = h3(e12)
| ~ sP38 ),
inference(forward_demodulation,[],[f788,f434]) ).
fof(f788,plain,
( e23 = op2(e22,e22)
| ~ sP38 ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e21,e21)
& e21 = op2(e21,e23) )
| ~ sP38 ),
inference(nnf_transformation,[],[f60]) ).
fof(f2632,plain,
( ~ spl138_249
| spl138_38 ),
inference(avatar_split_clause,[],[f2631,f1379,f2628]) ).
fof(f2631,plain,
( e20 = h1(e12)
| ~ sP40 ),
inference(forward_demodulation,[],[f780,f430]) ).
fof(f780,plain,
( e20 = op2(e20,e20)
| ~ sP40 ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP40 ),
inference(nnf_transformation,[],[f62]) ).
fof(f2622,plain,
~ spl138_248,
inference(avatar_split_clause,[],[f2621,f2617]) ).
fof(f2621,plain,
~ sP41,
inference(subsumption_resolution,[],[f2620,f397]) ).
fof(f2620,plain,
( e20 = e22
| ~ sP41 ),
inference(forward_demodulation,[],[f776,f537]) ).
fof(f776,plain,
( e20 = op2(e21,e21)
| ~ sP41 ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP41 ),
inference(nnf_transformation,[],[f63]) ).
fof(f2614,plain,
( ~ spl138_247
| ~ spl138_18 ),
inference(avatar_split_clause,[],[f2613,f1303,f2608]) ).
fof(f2613,plain,
( e20 != h3(e12)
| ~ sP42 ),
inference(forward_demodulation,[],[f771,f434]) ).
fof(f771,plain,
( e20 != op2(e22,e22)
| ~ sP42 ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP42 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2612,plain,
( ~ spl138_247
| spl138_18 ),
inference(avatar_split_clause,[],[f2611,f1303,f2608]) ).
fof(f2611,plain,
( e20 = h3(e12)
| ~ sP42 ),
inference(forward_demodulation,[],[f772,f434]) ).
fof(f772,plain,
( e20 = op2(e22,e22)
| ~ sP42 ),
inference(cnf_transformation,[],[f200]) ).
fof(f2610,plain,
( ~ spl138_247
| ~ spl138_151 ),
inference(avatar_split_clause,[],[f773,f1951,f2608]) ).
fof(f773,plain,
( e22 != op2(e22,e20)
| ~ sP42 ),
inference(cnf_transformation,[],[f200]) ).
fof(f2606,plain,
( ~ spl138_246
| spl138_151 ),
inference(avatar_split_clause,[],[f766,f1951,f2601]) ).
fof(f766,plain,
( e22 = op2(e22,e20)
| ~ sP43 ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e22,e22)
& e22 = op2(e22,e20) )
| ~ sP43 ),
inference(nnf_transformation,[],[f65]) ).
fof(f2605,plain,
( ~ spl138_246
| ~ spl138_18 ),
inference(avatar_split_clause,[],[f2604,f1303,f2601]) ).
fof(f2604,plain,
( e20 != h3(e12)
| ~ sP43 ),
inference(forward_demodulation,[],[f767,f434]) ).
fof(f767,plain,
( e20 != op2(e22,e22)
| ~ sP43 ),
inference(cnf_transformation,[],[f199]) ).
fof(f2599,plain,
~ spl138_245,
inference(avatar_split_clause,[],[f2598,f2591]) ).
fof(f2598,plain,
~ sP44,
inference(subsumption_resolution,[],[f762,f1826]) ).
fof(f1826,plain,
e22 != op2(e22,e21),
inference(backward_demodulation,[],[f1802,f1821]) ).
fof(f1802,plain,
op2(e22,e21) != h2(e12),
inference(forward_demodulation,[],[f497,f438]) ).
fof(f497,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f762,plain,
( e22 = op2(e22,e21)
| ~ sP44 ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP44 ),
inference(nnf_transformation,[],[f66]) ).
fof(f2586,plain,
~ spl138_244,
inference(avatar_split_clause,[],[f2585,f2580]) ).
fof(f2585,plain,
~ sP46,
inference(subsumption_resolution,[],[f754,f1826]) ).
fof(f754,plain,
( e22 = op2(e22,e21)
| ~ sP46 ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e22,e22)
& e22 = op2(e22,e21) )
| ~ sP46 ),
inference(nnf_transformation,[],[f68]) ).
fof(f2575,plain,
( ~ spl138_243
| spl138_83 ),
inference(avatar_split_clause,[],[f2574,f1538,f2567]) ).
fof(f2574,plain,
( e22 = h3(e12)
| ~ sP48 ),
inference(forward_demodulation,[],[f746,f434]) ).
fof(f746,plain,
( e22 = op2(e22,e22)
| ~ sP48 ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP48 ),
inference(nnf_transformation,[],[f70]) ).
fof(f2571,plain,
( ~ spl138_243
| spl138_131 ),
inference(avatar_split_clause,[],[f2570,f1718,f2567]) ).
fof(f2570,plain,
( e22 = h1(e12)
| ~ sP48 ),
inference(forward_demodulation,[],[f748,f430]) ).
fof(f748,plain,
( op2(e20,e20) = e22
| ~ sP48 ),
inference(cnf_transformation,[],[f194]) ).
fof(f2565,plain,
( ~ spl138_242
| spl138_83 ),
inference(avatar_split_clause,[],[f2564,f1538,f2559]) ).
fof(f2564,plain,
( e22 = h3(e12)
| ~ sP49 ),
inference(forward_demodulation,[],[f742,f434]) ).
fof(f742,plain,
( e22 = op2(e22,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP49 ),
inference(nnf_transformation,[],[f71]) ).
fof(f2563,plain,
( ~ spl138_242
| ~ spl138_83 ),
inference(avatar_split_clause,[],[f2562,f1538,f2559]) ).
fof(f2562,plain,
( e22 != h3(e12)
| ~ sP49 ),
inference(forward_demodulation,[],[f743,f434]) ).
fof(f743,plain,
( e22 != op2(e22,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f193]) ).
fof(f2561,plain,
( ~ spl138_242
| ~ spl138_153 ),
inference(avatar_split_clause,[],[f745,f1959,f2559]) ).
fof(f745,plain,
( e21 != op2(e21,e22)
| ~ sP49 ),
inference(cnf_transformation,[],[f193]) ).
fof(f2557,plain,
( ~ spl138_241
| spl138_83 ),
inference(avatar_split_clause,[],[f2556,f1538,f2549]) ).
fof(f2556,plain,
( e22 = h3(e12)
| ~ sP50 ),
inference(forward_demodulation,[],[f738,f434]) ).
fof(f738,plain,
( e22 = op2(e22,e22)
| ~ sP50 ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP50 ),
inference(nnf_transformation,[],[f72]) ).
fof(f2555,plain,
( ~ spl138_241
| ~ spl138_83 ),
inference(avatar_split_clause,[],[f2554,f1538,f2549]) ).
fof(f2554,plain,
( e22 != h3(e12)
| ~ sP50 ),
inference(forward_demodulation,[],[f739,f434]) ).
fof(f739,plain,
( e22 != op2(e22,e22)
| ~ sP50 ),
inference(cnf_transformation,[],[f192]) ).
fof(f2542,plain,
~ spl138_240,
inference(avatar_split_clause,[],[f2541,f2537]) ).
fof(f2541,plain,
~ sP51,
inference(subsumption_resolution,[],[f2540,f397]) ).
fof(f2540,plain,
( e20 = e22
| ~ sP51 ),
inference(forward_demodulation,[],[f736,f1836]) ).
fof(f736,plain,
( e22 = op2(e23,e23)
| ~ sP51 ),
inference(cnf_transformation,[],[f191]) ).
fof(f191,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP51 ),
inference(nnf_transformation,[],[f73]) ).
fof(f2535,plain,
( ~ spl138_239
| spl138_140 ),
inference(avatar_split_clause,[],[f730,f1895,f2530]) ).
fof(f730,plain,
( e22 = op2(e22,e23)
| ~ sP52 ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP52 ),
inference(nnf_transformation,[],[f74]) ).
fof(f2524,plain,
~ spl138_238,
inference(avatar_split_clause,[],[f2523,f2519]) ).
fof(f2523,plain,
~ sP53,
inference(subsumption_resolution,[],[f2522,f401]) ).
fof(f2522,plain,
( e22 = e23
| ~ sP53 ),
inference(forward_demodulation,[],[f728,f537]) ).
fof(f728,plain,
( e23 = op2(e21,e21)
| ~ sP53 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP53 ),
inference(nnf_transformation,[],[f75]) ).
fof(f2514,plain,
( ~ spl138_237
| spl138_86 ),
inference(avatar_split_clause,[],[f2513,f1550,f2509]) ).
fof(f2513,plain,
( e23 = h3(e12)
| ~ sP54 ),
inference(forward_demodulation,[],[f724,f434]) ).
fof(f724,plain,
( e23 = op2(e22,e22)
| ~ sP54 ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
( ( e22 != op2(e22,e23)
& e23 = op2(e22,e22)
& e23 != op2(e22,e22)
& e22 = op2(e22,e23) )
| ~ sP54 ),
inference(nnf_transformation,[],[f76]) ).
fof(f2503,plain,
~ spl138_236,
inference(avatar_split_clause,[],[f2502,f2497]) ).
fof(f2502,plain,
~ sP56,
inference(subsumption_resolution,[],[f715,f1836]) ).
fof(f715,plain,
( e20 != op2(e23,e23)
| ~ sP56 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP56 ),
inference(nnf_transformation,[],[f78]) ).
fof(f2492,plain,
~ spl138_235,
inference(avatar_split_clause,[],[f2491,f2487]) ).
fof(f2491,plain,
~ sP57,
inference(subsumption_resolution,[],[f2490,f397]) ).
fof(f2490,plain,
( e20 = e22
| ~ sP57 ),
inference(forward_demodulation,[],[f712,f537]) ).
fof(f712,plain,
( e20 = op2(e21,e21)
| ~ sP57 ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
( ( e21 != op2(e21,e20)
& e20 = op2(e21,e21)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP57 ),
inference(nnf_transformation,[],[f79]) ).
fof(f2484,plain,
~ spl138_234,
inference(avatar_split_clause,[],[f2483,f2478]) ).
fof(f2483,plain,
~ sP58,
inference(subsumption_resolution,[],[f707,f1836]) ).
fof(f707,plain,
( e20 != op2(e23,e23)
| ~ sP58 ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
( ( e22 != op2(e22,e20)
& e20 = op2(e22,e22)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP58 ),
inference(nnf_transformation,[],[f80]) ).
fof(f2475,plain,
~ spl138_233,
inference(avatar_split_clause,[],[f2474,f2470]) ).
fof(f2474,plain,
~ sP59,
inference(subsumption_resolution,[],[f703,f1836]) ).
fof(f703,plain,
( e20 != op2(e23,e23)
| ~ sP59 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e23,e23)
& e20 != op2(e23,e23)
& e23 = op2(e23,e20) )
| ~ sP59 ),
inference(nnf_transformation,[],[f81]) ).
fof(f2468,plain,
~ spl138_232,
inference(avatar_split_clause,[],[f2467,f2461]) ).
fof(f2467,plain,
~ sP60,
inference(subsumption_resolution,[],[f698,f1830]) ).
fof(f1830,plain,
e23 != op2(e23,e21),
inference(backward_demodulation,[],[f499,f1828]) ).
fof(f499,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f698,plain,
( e23 = op2(e23,e21)
| ~ sP60 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
( ( e20 != op2(e20,e21)
& op2(e20,e20) = e21
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP60 ),
inference(nnf_transformation,[],[f82]) ).
fof(f2456,plain,
~ spl138_231,
inference(avatar_split_clause,[],[f2455,f2451]) ).
fof(f2455,plain,
~ sP62,
inference(subsumption_resolution,[],[f690,f1830]) ).
fof(f690,plain,
( e23 = op2(e23,e21)
| ~ sP62 ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
( ( e22 != op2(e22,e21)
& e21 = op2(e22,e22)
& e21 != op2(e23,e23)
& e23 = op2(e23,e21) )
| ~ sP62 ),
inference(nnf_transformation,[],[f84]) ).
fof(f2444,plain,
( ~ spl138_230
| spl138_131 ),
inference(avatar_split_clause,[],[f2443,f1718,f2440]) ).
fof(f2443,plain,
( e22 = h1(e12)
| ~ sP64 ),
inference(forward_demodulation,[],[f684,f430]) ).
fof(f684,plain,
( op2(e20,e20) = e22
| ~ sP64 ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
( ( e20 != op2(e20,e22)
& op2(e20,e20) = e22
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP64 ),
inference(nnf_transformation,[],[f86]) ).
fof(f2436,plain,
( ~ spl138_229
| ~ spl138_153 ),
inference(avatar_split_clause,[],[f681,f1959,f2433]) ).
fof(f681,plain,
( e21 != op2(e21,e22)
| ~ sP65 ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
( ( e21 != op2(e21,e22)
& e22 = op2(e21,e21)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP65 ),
inference(nnf_transformation,[],[f87]) ).
fof(f2429,plain,
( ~ spl138_228
| spl138_83 ),
inference(avatar_split_clause,[],[f2428,f1538,f2425]) ).
fof(f2428,plain,
( e22 = h3(e12)
| ~ sP66 ),
inference(forward_demodulation,[],[f676,f434]) ).
fof(f676,plain,
( e22 = op2(e22,e22)
| ~ sP66 ),
inference(cnf_transformation,[],[f176]) ).
fof(f176,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP66 ),
inference(nnf_transformation,[],[f88]) ).
fof(f2427,plain,
( ~ spl138_228
| ~ spl138_83 ),
inference(avatar_split_clause,[],[f2423,f1538,f2425]) ).
fof(f2423,plain,
( e22 != h3(e12)
| ~ sP66 ),
inference(forward_demodulation,[],[f677,f434]) ).
fof(f677,plain,
( e22 != op2(e22,e22)
| ~ sP66 ),
inference(cnf_transformation,[],[f176]) ).
fof(f2420,plain,
~ spl138_227,
inference(avatar_split_clause,[],[f2419,f2415]) ).
fof(f2419,plain,
~ sP67,
inference(subsumption_resolution,[],[f2418,f397]) ).
fof(f2418,plain,
( e20 = e22
| ~ sP67 ),
inference(forward_demodulation,[],[f672,f1836]) ).
fof(f672,plain,
( e22 = op2(e23,e23)
| ~ sP67 ),
inference(cnf_transformation,[],[f175]) ).
fof(f175,plain,
( ( e23 != op2(e23,e22)
& e22 = op2(e23,e23)
& e22 != op2(e23,e23)
& e23 = op2(e23,e22) )
| ~ sP67 ),
inference(nnf_transformation,[],[f89]) ).
fof(f2413,plain,
~ spl138_226,
inference(avatar_split_clause,[],[f2412,f2407]) ).
fof(f2412,plain,
~ sP68,
inference(subsumption_resolution,[],[f2411,f398]) ).
fof(f2411,plain,
( e20 = e23
| ~ sP68 ),
inference(forward_demodulation,[],[f666,f1836]) ).
fof(f666,plain,
( e23 = op2(e23,e23)
| ~ sP68 ),
inference(cnf_transformation,[],[f174]) ).
fof(f174,plain,
( ( e20 != op2(e20,e23)
& op2(e20,e20) = e23
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP68 ),
inference(nnf_transformation,[],[f90]) ).
fof(f2401,plain,
~ spl138_225,
inference(avatar_split_clause,[],[f2400,f2395]) ).
fof(f2400,plain,
~ sP69,
inference(subsumption_resolution,[],[f2399,f401]) ).
fof(f2399,plain,
( e22 = e23
| ~ sP69 ),
inference(forward_demodulation,[],[f664,f537]) ).
fof(f664,plain,
( e23 = op2(e21,e21)
| ~ sP69 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e21,e21)
& e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ~ sP69 ),
inference(nnf_transformation,[],[f91]) ).
fof(f2388,plain,
( ~ spl138_220
| spl138_223 ),
inference(avatar_split_clause,[],[f655,f2386,f2367]) ).
fof(f655,plain,
( e21 = op2(e20,op2(e20,e21))
| ~ sP70 ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
( ( ( e20 = op2(e23,e23)
| e23 != op2(e23,e20) )
& ( e20 = op2(e22,e22)
| e22 != op2(e22,e20) )
& ( e20 = op2(e21,e21)
| e21 != op2(e21,e20) )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& e23 = op2(e20,op2(e20,e23))
& e22 = op2(e20,op2(e20,e22))
& e21 = op2(e20,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20)) )
| ~ sP70 ),
inference(nnf_transformation,[],[f92]) ).
fof(f2375,plain,
( ~ spl138_220
| ~ spl138_161 ),
inference(avatar_split_clause,[],[f2373,f2005,f2367]) ).
fof(f2373,plain,
( e21 != op2(e21,e20)
| ~ sP70 ),
inference(subsumption_resolution,[],[f2372,f397]) ).
fof(f2372,plain,
( e20 = e22
| e21 != op2(e21,e20)
| ~ sP70 ),
inference(forward_demodulation,[],[f659,f537]) ).
fof(f659,plain,
( e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| ~ sP70 ),
inference(cnf_transformation,[],[f172]) ).
fof(f2360,plain,
( ~ spl138_216
| spl138_153 ),
inference(avatar_split_clause,[],[f2359,f1959,f2347]) ).
fof(f2359,plain,
( e21 = op2(e21,e22)
| ~ sP71 ),
inference(forward_demodulation,[],[f647,f537]) ).
fof(f647,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ sP71 ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
( ( ( e21 = op2(e23,e23)
| e23 != op2(e23,e21) )
& ( e21 = op2(e22,e22)
| e22 != op2(e22,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( op2(e20,e20) = e21
| e20 != op2(e20,e21) )
& e23 = op2(e21,op2(e21,e23))
& e22 = op2(e21,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e20 = op2(e21,op2(e21,e20)) )
| ~ sP71 ),
inference(nnf_transformation,[],[f93]) ).
fof(f2350,plain,
( ~ spl138_216
| ~ spl138_162
| spl138_33 ),
inference(avatar_split_clause,[],[f2345,f1360,f2012,f2347]) ).
fof(f2345,plain,
( e21 = h1(e12)
| e20 != op2(e20,e21)
| ~ sP71 ),
inference(forward_demodulation,[],[f650,f430]) ).
fof(f650,plain,
( op2(e20,e20) = e21
| e20 != op2(e20,e21)
| ~ sP71 ),
inference(cnf_transformation,[],[f171]) ).
fof(f2340,plain,
( ~ spl138_212
| spl138_144 ),
inference(avatar_split_clause,[],[f2339,f1916,f2323]) ).
fof(f2339,plain,
( e21 = op2(e22,e23)
| ~ sP72 ),
inference(forward_demodulation,[],[f639,f1828]) ).
fof(f639,plain,
( e21 = op2(e22,op2(e22,e21))
| ~ sP72 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
( ( ( e22 = op2(e23,e23)
| e23 != op2(e23,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e21,e21)
| e21 != op2(e21,e22) )
& ( op2(e20,e20) = e22
| e20 != op2(e20,e22) )
& e23 = op2(e22,op2(e22,e23))
& e22 = op2(e22,op2(e22,e22))
& e21 = op2(e22,op2(e22,e21))
& e20 = op2(e22,op2(e22,e20)) )
| ~ sP72 ),
inference(nnf_transformation,[],[f94]) ).
fof(f2326,plain,
( ~ spl138_212
| ~ spl138_139 ),
inference(avatar_split_clause,[],[f2321,f1887,f2323]) ).
fof(f2321,plain,
( e23 != op2(e23,e22)
| ~ sP72 ),
inference(subsumption_resolution,[],[f2320,f397]) ).
fof(f2320,plain,
( e20 = e22
| e23 != op2(e23,e22)
| ~ sP72 ),
inference(forward_demodulation,[],[f645,f1836]) ).
fof(f645,plain,
( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| ~ sP72 ),
inference(cnf_transformation,[],[f170]) ).
fof(f2319,plain,
( spl138_211
| spl138_210
| spl138_209
| spl138_208 ),
inference(avatar_split_clause,[],[f622,f2267,f2274,f2280,f2286]) ).
fof(f622,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2318,plain,
( spl138_205
| spl138_203 ),
inference(avatar_split_clause,[],[f2317,f2239,f2252]) ).
fof(f2317,plain,
( e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f2316,f1851]) ).
fof(f1851,plain,
e12 != op1(e10,e11),
inference(backward_demodulation,[],[f446,f540]) ).
fof(f446,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2316,plain,
( e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f623,f1858]) ).
fof(f1858,plain,
e13 != op1(e10,e11),
inference(backward_demodulation,[],[f447,f1857]) ).
fof(f447,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f623,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2315,plain,
( spl138_198
| spl138_194
| spl138_191
| spl138_189 ),
inference(avatar_split_clause,[],[f624,f2175,f2183,f2195,f2212]) ).
fof(f624,plain,
( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2312,plain,
( spl138_207
| spl138_204
| spl138_202 ),
inference(avatar_split_clause,[],[f2311,f2231,f2245,f2262]) ).
fof(f2311,plain,
( e13 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f626,f1854]) ).
fof(f1854,plain,
e12 != op1(e11,e10),
inference(backward_demodulation,[],[f470,f540]) ).
fof(f470,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f626,plain,
( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2308,plain,
( spl138_184
| spl138_176 ),
inference(avatar_split_clause,[],[f2307,f2116,f2155]) ).
fof(f2307,plain,
( e13 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f2306,f1866]) ).
fof(f1866,plain,
e10 != op1(e11,e13),
inference(backward_demodulation,[],[f462,f1864]) ).
fof(f462,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2306,plain,
( e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f629,f1856]) ).
fof(f1856,plain,
e12 != op1(e11,e13),
inference(backward_demodulation,[],[f474,f540]) ).
fof(f474,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f629,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2305,plain,
( spl138_201
| spl138_197
| spl138_193 ),
inference(avatar_split_clause,[],[f2304,f2191,f2207,f2225]) ).
fof(f2304,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f630,f1860]) ).
fof(f1860,plain,
e13 != op1(e12,e10),
inference(backward_demodulation,[],[f476,f1857]) ).
fof(f476,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f630,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2303,plain,
( spl138_200
| spl138_196
| spl138_192 ),
inference(avatar_split_clause,[],[f2302,f2186,f2201,f2218]) ).
fof(f2302,plain,
( e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(subsumption_resolution,[],[f632,f1861]) ).
fof(f632,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2301,plain,
( spl138_185
| spl138_180 ),
inference(avatar_split_clause,[],[f2300,f2136,f2158]) ).
fof(f2300,plain,
( e12 = op1(e12,e13)
| e11 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f2299,f1867]) ).
fof(f1867,plain,
e10 != op1(e12,e13),
inference(backward_demodulation,[],[f463,f1864]) ).
fof(f463,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2299,plain,
( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f633,f1862]) ).
fof(f1862,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[],[f480,f1857]) ).
fof(f480,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f633,plain,
( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2296,plain,
spl138_187,
inference(avatar_split_clause,[],[f2295,f2167]) ).
fof(f2295,plain,
e11 = op1(e13,e11),
inference(subsumption_resolution,[],[f2294,f1869]) ).
fof(f1869,plain,
e10 != op1(e13,e11),
inference(backward_demodulation,[],[f486,f1864]) ).
fof(f486,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2294,plain,
( e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(subsumption_resolution,[],[f2293,f1853]) ).
fof(f1853,plain,
e12 != op1(e13,e11),
inference(backward_demodulation,[],[f450,f540]) ).
fof(f450,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2293,plain,
( e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(subsumption_resolution,[],[f635,f1859]) ).
fof(f635,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2292,plain,
( spl138_188
| spl138_182
| spl138_178 ),
inference(avatar_split_clause,[],[f2291,f2126,f2146,f2170]) ).
fof(f2291,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(subsumption_resolution,[],[f636,f1870]) ).
fof(f1870,plain,
e10 != op1(e13,e12),
inference(backward_demodulation,[],[f487,f1864]) ).
fof(f487,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f636,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2283,plain,
( spl138_210
| spl138_203
| spl138_194
| spl138_183 ),
inference(avatar_split_clause,[],[f592,f2152,f2195,f2239,f2280]) ).
fof(f592,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2282,plain,
( spl138_210
| spl138_204
| spl138_197
| spl138_186 ),
inference(avatar_split_clause,[],[f593,f2164,f2207,f2245,f2280]) ).
fof(f593,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2276,plain,
( spl138_209
| spl138_193
| spl138_181 ),
inference(avatar_split_clause,[],[f2272,f2143,f2191,f2274]) ).
fof(f2272,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| op1(e10,e10) = e12 ),
inference(subsumption_resolution,[],[f595,f1854]) ).
fof(f595,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2271,plain,
( spl138_208
| spl138_189
| spl138_175 ),
inference(avatar_split_clause,[],[f2270,f2113,f2175,f2267]) ).
fof(f2270,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13 ),
inference(subsumption_resolution,[],[f596,f1858]) ).
fof(f596,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2269,plain,
( spl138_208
| spl138_202
| spl138_177 ),
inference(avatar_split_clause,[],[f2265,f2123,f2231,f2267]) ).
fof(f2265,plain,
( e13 = op1(e13,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(subsumption_resolution,[],[f597,f1860]) ).
fof(f597,plain,
( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2264,plain,
( spl138_207
| spl138_199 ),
inference(avatar_split_clause,[],[f2260,f2215,f2262]) ).
fof(f2260,plain,
( e10 = op1(e11,e12)
| e10 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f2259,f419]) ).
fof(f2259,plain,
( e10 = e12
| e10 = op1(e11,e12)
| e10 = op1(e11,e10) ),
inference(forward_demodulation,[],[f2258,f540]) ).
fof(f2258,plain,
( e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f598,f1866]) ).
fof(f598,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2247,plain,
( spl138_204
| spl138_195
| spl138_184 ),
inference(avatar_split_clause,[],[f2243,f2155,f2198,f2245]) ).
fof(f2243,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f2242,f421]) ).
fof(f2242,plain,
( e11 = e12
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) ),
inference(forward_demodulation,[],[f600,f540]) ).
fof(f600,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2227,plain,
( spl138_201
| spl138_200 ),
inference(avatar_split_clause,[],[f2223,f2218,f2225]) ).
fof(f2223,plain,
( e10 = op1(e12,e12)
| e10 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f2222,f420]) ).
fof(f2222,plain,
( e10 = e13
| e10 = op1(e12,e12)
| e10 = op1(e12,e10) ),
inference(forward_demodulation,[],[f2221,f1857]) ).
fof(f2221,plain,
( e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f606,f1867]) ).
fof(f606,plain,
( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2193,plain,
( spl138_193
| spl138_192
| spl138_180 ),
inference(avatar_split_clause,[],[f2189,f2136,f2186,f2191]) ).
fof(f2189,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(subsumption_resolution,[],[f610,f1852]) ).
fof(f610,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2188,plain,
( spl138_191
| spl138_192
| spl138_182 ),
inference(avatar_split_clause,[],[f2181,f2146,f2186,f2183]) ).
fof(f2181,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f611,f1855]) ).
fof(f1855,plain,
e12 != op1(e11,e12),
inference(backward_demodulation,[],[f473,f540]) ).
fof(f473,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f611,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2180,plain,
( spl138_189
| spl138_190
| spl138_178 ),
inference(avatar_split_clause,[],[f2173,f2126,f2178,f2175]) ).
fof(f2173,plain,
( e13 = op1(e13,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(subsumption_resolution,[],[f613,f1861]) ).
fof(f613,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2148,plain,
( spl138_181
| spl138_182 ),
inference(avatar_split_clause,[],[f2141,f2146,f2143]) ).
fof(f2141,plain,
( e12 = op1(e13,e12)
| e12 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f2140,f419]) ).
fof(f2140,plain,
( e10 = e12
| e12 = op1(e13,e12)
| e12 = op1(e13,e10) ),
inference(forward_demodulation,[],[f2139,f1864]) ).
fof(f2139,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f618,f1853]) ).
fof(f618,plain,
( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2138,plain,
( spl138_179
| spl138_180 ),
inference(avatar_split_clause,[],[f2131,f2136,f2133]) ).
fof(f2131,plain,
( e12 = op1(e12,e13)
| e12 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f2130,f419]) ).
fof(f2130,plain,
( e10 = e12
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) ),
inference(forward_demodulation,[],[f2129,f1864]) ).
fof(f2129,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f619,f1856]) ).
fof(f619,plain,
( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2128,plain,
( spl138_177
| spl138_178 ),
inference(avatar_split_clause,[],[f2121,f2126,f2123]) ).
fof(f2121,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f2120,f420]) ).
fof(f2120,plain,
( e10 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f2119,f1864]) ).
fof(f2119,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f620,f1859]) ).
fof(f620,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2118,plain,
( spl138_175
| spl138_176 ),
inference(avatar_split_clause,[],[f2111,f2116,f2113]) ).
fof(f2111,plain,
( e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f2110,f420]) ).
fof(f2110,plain,
( e10 = e13
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(forward_demodulation,[],[f2109,f1864]) ).
fof(f2109,plain,
( e13 = op1(e13,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f621,f1862]) ).
fof(f621,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2095,plain,
( spl138_162
| spl138_160 ),
inference(avatar_split_clause,[],[f2094,f1999,f2012]) ).
fof(f2094,plain,
( e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f2093,f1827]) ).
fof(f1827,plain,
e22 != op2(e20,e21),
inference(backward_demodulation,[],[f1803,f1821]) ).
fof(f1803,plain,
op2(e20,e21) != h2(e12),
inference(forward_demodulation,[],[f494,f438]) ).
fof(f494,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2093,plain,
( e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(subsumption_resolution,[],[f575,f1829]) ).
fof(f1829,plain,
e23 != op2(e20,e21),
inference(backward_demodulation,[],[f495,f1828]) ).
fof(f495,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f575,plain,
( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2091,plain,
( spl138_167
| spl138_166
| spl138_165 ),
inference(avatar_split_clause,[],[f2090,f2032,f2042,f2050]) ).
fof(f2090,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f577,f1845]) ).
fof(f577,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2087,plain,
( spl138_156
| spl138_153
| spl138_149 ),
inference(avatar_split_clause,[],[f2086,f1937,f1959,f1975]) ).
fof(f2086,plain,
( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(subsumption_resolution,[],[f580,f1823]) ).
fof(f1823,plain,
e22 != op2(e21,e22),
inference(backward_demodulation,[],[f1785,f1821]) ).
fof(f1785,plain,
op2(e21,e22) != h2(e12),
inference(forward_demodulation,[],[f521,f438]) ).
fof(f521,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f580,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2085,plain,
( spl138_143
| spl138_137 ),
inference(avatar_split_clause,[],[f2084,f1876,f1913]) ).
fof(f2084,plain,
( e23 = op2(e21,e23)
| e21 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f2083,f1844]) ).
fof(f1844,plain,
e20 != op2(e21,e23),
inference(backward_demodulation,[],[f1817,f1837]) ).
fof(f1817,plain,
op2(e21,e23) != h2(e10),
inference(backward_demodulation,[],[f1794,f1811]) ).
fof(f1794,plain,
op2(e21,e23) != h4(e12),
inference(forward_demodulation,[],[f510,f426]) ).
fof(f510,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2083,plain,
( e23 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f581,f1822]) ).
fof(f1822,plain,
e22 != op2(e21,e23),
inference(backward_demodulation,[],[f1784,f1821]) ).
fof(f1784,plain,
op2(e21,e23) != h2(e12),
inference(forward_demodulation,[],[f522,f438]) ).
fof(f522,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f581,plain,
( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2082,plain,
( spl138_158
| spl138_154
| spl138_151 ),
inference(avatar_split_clause,[],[f2081,f1951,f1967,f1985]) ).
fof(f2081,plain,
( e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f582,f1831]) ).
fof(f1831,plain,
e23 != op2(e22,e20),
inference(backward_demodulation,[],[f524,f1828]) ).
fof(f524,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f582,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2070,plain,
( spl138_144
| spl138_140 ),
inference(avatar_split_clause,[],[f2069,f1895,f1916]) ).
fof(f2069,plain,
( e22 = op2(e22,e23)
| e21 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f2068,f1843]) ).
fof(f1843,plain,
e20 != op2(e22,e23),
inference(backward_demodulation,[],[f1816,f1837]) ).
fof(f1816,plain,
op2(e22,e23) != h2(e10),
inference(backward_demodulation,[],[f1792,f1811]) ).
fof(f1792,plain,
op2(e22,e23) != h4(e12),
inference(forward_demodulation,[],[f511,f426]) ).
fof(f511,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2068,plain,
( e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(subsumption_resolution,[],[f585,f1833]) ).
fof(f1833,plain,
e23 != op2(e22,e23),
inference(backward_demodulation,[],[f528,f1828]) ).
fof(f528,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f585,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2065,plain,
spl138_146,
inference(avatar_split_clause,[],[f2064,f1926]) ).
fof(f2064,plain,
e21 = op2(e23,e21),
inference(subsumption_resolution,[],[f2063,f1841]) ).
fof(f1841,plain,
e20 != op2(e23,e21),
inference(backward_demodulation,[],[f1814,f1837]) ).
fof(f1814,plain,
op2(e23,e21) != h2(e10),
inference(backward_demodulation,[],[f1777,f1811]) ).
fof(f1777,plain,
op2(e23,e21) != h4(e12),
inference(forward_demodulation,[],[f534,f426]) ).
fof(f534,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2063,plain,
( e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(subsumption_resolution,[],[f2062,f1825]) ).
fof(f1825,plain,
e22 != op2(e23,e21),
inference(backward_demodulation,[],[f1800,f1821]) ).
fof(f1800,plain,
op2(e23,e21) != h2(e12),
inference(forward_demodulation,[],[f498,f438]) ).
fof(f498,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2062,plain,
( e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(subsumption_resolution,[],[f587,f1830]) ).
fof(f587,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2061,plain,
( spl138_147
| spl138_142
| spl138_139 ),
inference(avatar_split_clause,[],[f2060,f1887,f1906,f1929]) ).
fof(f2060,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22) ),
inference(subsumption_resolution,[],[f588,f1840]) ).
fof(f1840,plain,
e20 != op2(e23,e22),
inference(backward_demodulation,[],[f1813,f1837]) ).
fof(f1813,plain,
op2(e23,e22) != h2(e10),
inference(backward_demodulation,[],[f1776,f1811]) ).
fof(f1776,plain,
op2(e23,e22) != h4(e12),
inference(forward_demodulation,[],[f535,f426]) ).
fof(f535,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f588,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2056,plain,
( spl138_164
| spl138_158
| spl138_38 ),
inference(avatar_split_clause,[],[f2054,f1379,f1985,f2022]) ).
fof(f2054,plain,
( e20 = h1(e12)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f2053,f430]) ).
fof(f2053,plain,
( e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(subsumption_resolution,[],[f543,f1842]) ).
fof(f1842,plain,
e20 != op2(e23,e20),
inference(backward_demodulation,[],[f1815,f1837]) ).
fof(f1815,plain,
op2(e23,e20) != h2(e10),
inference(backward_demodulation,[],[f1778,f1811]) ).
fof(f1778,plain,
op2(e23,e20) != h4(e12),
inference(forward_demodulation,[],[f532,f426]) ).
fof(f532,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f543,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2044,plain,
( spl138_150
| spl138_166
| spl138_131 ),
inference(avatar_split_clause,[],[f2040,f1718,f2042,f1944]) ).
fof(f2040,plain,
( e22 = h1(e12)
| e22 = op2(e20,e23)
| e22 = op2(e20,e22) ),
inference(forward_demodulation,[],[f2039,f430]) ).
fof(f2039,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22 ),
inference(subsumption_resolution,[],[f546,f1827]) ).
fof(f546,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2038,plain,
( spl138_151
| spl138_141
| spl138_131 ),
inference(avatar_split_clause,[],[f2036,f1718,f1903,f1951]) ).
fof(f2036,plain,
( e22 = h1(e12)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f2035,f430]) ).
fof(f2035,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 ),
inference(subsumption_resolution,[],[f547,f1824]) ).
fof(f1824,plain,
e22 != op2(e21,e20),
inference(backward_demodulation,[],[f1787,f1821]) ).
fof(f1787,plain,
op2(e21,e20) != h2(e12),
inference(forward_demodulation,[],[f518,f438]) ).
fof(f518,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f547,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2028,plain,
( spl138_159
| spl138_138
| spl138_134 ),
inference(avatar_split_clause,[],[f2026,f1730,f1884,f1991]) ).
fof(f2026,plain,
( e23 = h1(e12)
| e23 = op2(e23,e20)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f2025,f430]) ).
fof(f2025,plain,
( e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(subsumption_resolution,[],[f549,f1831]) ).
fof(f549,plain,
( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2007,plain,
( spl138_161
| spl138_153
| spl138_143 ),
inference(avatar_split_clause,[],[f2003,f1913,f1959,f2005]) ).
fof(f2003,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(subsumption_resolution,[],[f2002,f399]) ).
fof(f2002,plain,
( e21 = e22
| e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f552,f537]) ).
fof(f552,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1987,plain,
( spl138_158
| spl138_157 ),
inference(avatar_split_clause,[],[f1983,f1978,f1985]) ).
fof(f1983,plain,
( e20 = op2(e22,e22)
| e20 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f1982,f398]) ).
fof(f1982,plain,
( e20 = e23
| e20 = op2(e22,e22)
| e20 = op2(e22,e20) ),
inference(forward_demodulation,[],[f1981,f1828]) ).
fof(f1981,plain,
( e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f558,f1843]) ).
fof(f558,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1980,plain,
( spl138_155
| spl138_156
| spl138_157 ),
inference(avatar_split_clause,[],[f1970,f1978,f1975,f1972]) ).
fof(f1970,plain,
( e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(subsumption_resolution,[],[f559,f1840]) ).
fof(f559,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1969,plain,
( spl138_154
| spl138_144
| spl138_13 ),
inference(avatar_split_clause,[],[f1965,f1284,f1916,f1967]) ).
fof(f1965,plain,
( e21 = h3(e12)
| e21 = op2(e22,e23)
| e21 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f1964,f400]) ).
fof(f400,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1964,plain,
( e21 = e23
| e21 = h3(e12)
| e21 = op2(e22,e23)
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[],[f1963,f1828]) ).
fof(f1963,plain,
( e21 = h3(e12)
| e21 = op2(e22,e23)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(forward_demodulation,[],[f560,f434]) ).
fof(f560,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1953,plain,
( spl138_151
| spl138_140
| spl138_83 ),
inference(avatar_split_clause,[],[f1949,f1538,f1895,f1951]) ).
fof(f1949,plain,
( e22 = h3(e12)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f1948,f434]) ).
fof(f1948,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f562,f1826]) ).
fof(f562,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1908,plain,
( spl138_141
| spl138_142 ),
inference(avatar_split_clause,[],[f1901,f1906,f1903]) ).
fof(f1901,plain,
( e22 = op2(e23,e22)
| e22 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f1900,f397]) ).
fof(f1900,plain,
( e20 = e22
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) ),
inference(forward_demodulation,[],[f1899,f1836]) ).
fof(f1899,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) ),
inference(subsumption_resolution,[],[f570,f1825]) ).
fof(f570,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1834,plain,
~ spl138_86,
inference(avatar_split_clause,[],[f1832,f1550]) ).
fof(f1832,plain,
e23 != h3(e12),
inference(backward_demodulation,[],[f1781,f1828]) ).
fof(f1781,plain,
op2(e22,e21) != h3(e12),
inference(forward_demodulation,[],[f527,f434]) ).
fof(f527,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1630,plain,
( ~ spl138_89
| ~ spl138_90
| ~ spl138_91
| ~ spl138_92
| ~ spl138_93
| ~ spl138_94
| ~ spl138_95
| ~ spl138_96
| ~ spl138_97
| ~ spl138_98
| ~ spl138_99
| ~ spl138_100
| ~ spl138_101
| ~ spl138_102
| ~ spl138_103
| ~ spl138_104
| spl138_26
| spl138_21
| ~ spl138_107
| ~ spl138_106 ),
inference(avatar_split_clause,[],[f362,f1624,f1628,f1315,f1334,f1616,f1613,f1610,f1607,f1604,f1601,f1598,f1595,f1592,f1589,f1586,f1583,f1580,f1577,f1574,f1571]) ).
fof(f1334,plain,
( spl138_26
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_26])]) ).
fof(f1315,plain,
( spl138_21
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl138_21])]) ).
fof(f362,plain,
( e23 != h2(e13)
| e22 != h2(e12)
| sP3
| sP2
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| sP7
| sP6
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| sP5
| sP4
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| sP3
| sP2
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1351,plain,
( ~ spl138_26
| ~ spl138_30 ),
inference(avatar_split_clause,[],[f320,f1349,f1334]) ).
fof(f320,plain,
( e20 != h2(e10)
| ~ sP2 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1328,plain,
( ~ spl138_21
| ~ spl138_24 ),
inference(avatar_split_clause,[],[f317,f1326,f1315]) ).
fof(f317,plain,
( e21 != h2(e11)
| ~ sP3 ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG102+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.12 % Command : run_vampire %s %d SAT
% 0.13/0.34 % Computer : n013.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 : Wed Jun 19 15:13:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.13/0.36 Running first-order model finding
% 0.13/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18669)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (2999ds/98885Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18673)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (2999ds/104Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18670)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (2999ds/99418Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18675)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (2999ds/115Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18674)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (2999ds/146Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18672)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (2999ds/152523Mi)
% 0.21/0.44 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.44 % (18671)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (2999ds/214858Mi)
% 0.21/0.48 Detected minimum model sizes of [8]
% 0.21/0.48 Detected maximum model sizes of [max]
% 0.21/0.49 % (18673)Instruction limit reached!
% 0.21/0.49 % (18673)------------------------------
% 0.21/0.49 % (18673)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (18673)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (18673)Termination reason: Time limit
% 0.21/0.49 % (18673)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (18673)Memory used [KB]: 3106
% 0.21/0.49 % (18673)Time elapsed: 0.051 s
% 0.21/0.49 % (18673)Instructions burned: 105 (million)
% 0.21/0.49 Detected minimum model sizes of [8]
% 0.21/0.49 Detected maximum model sizes of [max]
% 0.21/0.49 % (18675)Instruction limit reached!
% 0.21/0.49 % (18675)------------------------------
% 0.21/0.49 % (18675)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.49 % (18675)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.49 % (18675)Termination reason: Time limit
% 0.21/0.49 % (18675)Termination phase: Saturation
% 0.21/0.49
% 0.21/0.49 % (18675)Memory used [KB]: 2799
% 0.21/0.49 % (18675)Time elapsed: 0.054 s
% 0.21/0.49 % (18675)Instructions burned: 116 (million)
% 0.21/0.49 TRYING [10]
% 0.21/0.50 Detected minimum model sizes of [8]
% 0.21/0.50 Detected maximum model sizes of [max]
% 0.21/0.50 TRYING [8]
% 0.21/0.50 TRYING [23]
% 0.21/0.50 % (18674)First to succeed.
% 0.21/0.52 % (18674)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-18668"
% 0.21/0.52 % (18668)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.52 % (18674)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (18674)------------------------------
% 0.21/0.53 % (18674)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.21/0.53 % (18674)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.21/0.53 % (18674)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (18674)Memory used [KB]: 2433
% 0.21/0.53 % (18674)Time elapsed: 0.082 s
% 0.21/0.53 % (18674)Instructions burned: 183 (million)
% 0.21/0.53 % (18674)------------------------------
% 0.21/0.53 % (18674)------------------------------
% 0.21/0.53 % (18668)Success in time 0.149 s
%------------------------------------------------------------------------------