TSTP Solution File: ALG107+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:45 EDT 2022
% Result : Theorem 3.60s 0.93s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 182
% Syntax : Number of formulae : 877 ( 98 unt; 0 def)
% Number of atoms : 3403 (1969 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4080 (1554 ~;1838 |; 541 &)
% ( 147 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 167 ( 165 usr; 166 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5197,plain,
$false,
inference(avatar_sat_refutation,[],[f693,f719,f805,f885,f907,f967,f972,f1021,f1036,f1049,f1072,f1094,f1144,f1158,f1166,f1207,f1225,f1383,f1417,f1419,f1432,f1452,f1470,f1512,f1552,f1557,f1575,f1589,f1595,f1683,f1689,f1694,f1700,f1707,f1708,f1716,f1723,f1728,f1737,f1782,f1793,f1796,f1803,f1856,f1861,f1878,f1884,f1885,f1893,f1936,f1950,f1973,f1986,f2010,f2013,f2015,f2098,f2114,f2142,f2201,f2208,f2227,f2230,f2253,f2263,f2270,f2273,f2286,f2294,f2300,f2303,f2308,f2313,f2315,f2330,f2398,f2407,f2423,f2431,f2439,f2454,f2478,f2497,f2519,f2528,f2536,f2542,f2544,f2559,f2610,f2670,f2699,f2730,f2766,f2782,f2806,f2817,f2843,f2845,f2860,f2904,f2908,f2936,f2965,f2971,f2980,f2987,f3004,f3051,f3058,f3069,f3078,f3134,f3155,f3243,f3261,f3318,f3323,f3350,f3360,f3376,f3383,f3392,f3397,f3419,f3459,f3463,f3490,f3504,f3516,f3575,f3601,f3613,f3656,f3674,f3683,f3711,f3741,f3760,f3772,f3809,f3855,f3866,f3894,f3909,f3948,f3980,f4010,f4072,f4103,f4130,f4167,f4220,f4262,f4302,f4336,f4341,f4384,f4504,f4605,f4633,f4669,f4710,f4789,f4795,f4886,f4914,f5052]) ).
fof(f5052,plain,
( ~ spl18_97
| ~ spl18_176
| ~ spl18_235 ),
inference(avatar_contradiction_clause,[],[f5051]) ).
fof(f5051,plain,
( $false
| ~ spl18_97
| ~ spl18_176
| ~ spl18_235 ),
inference(subsumption_resolution,[],[f5050,f258]) ).
fof(f258,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e10 != e13
& e10 != e12
& e11 != e12
& e10 != e11
& e11 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f5050,plain,
( e10 = e13
| ~ spl18_97
| ~ spl18_176
| ~ spl18_235 ),
inference(forward_demodulation,[],[f5044,f800]) ).
fof(f800,plain,
( e10 = op1(e13,e10)
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f798,plain,
( spl18_97
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_97])]) ).
fof(f5044,plain,
( e13 = op1(e13,e10)
| ~ spl18_176
| ~ spl18_235 ),
inference(backward_demodulation,[],[f1157,f1456]) ).
fof(f1456,plain,
( e10 = op1(e11,e13)
| ~ spl18_235 ),
inference(avatar_component_clause,[],[f1454]) ).
fof(f1454,plain,
( spl18_235
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_235])]) ).
fof(f1157,plain,
( e13 = op1(e13,op1(e11,e13))
| ~ spl18_176 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f1155,plain,
( spl18_176
<=> e13 = op1(e13,op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_176])]) ).
fof(f4914,plain,
( spl18_28
| ~ spl18_259
| ~ spl18_300 ),
inference(avatar_contradiction_clause,[],[f4913]) ).
fof(f4913,plain,
( $false
| spl18_28
| ~ spl18_259
| ~ spl18_300 ),
inference(subsumption_resolution,[],[f4909,f510]) ).
fof(f510,plain,
( e10 != op1(e10,e12)
| spl18_28 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl18_28
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f4909,plain,
( e10 = op1(e10,e12)
| ~ spl18_259
| ~ spl18_300 ),
inference(backward_demodulation,[],[f1855,f1586]) ).
fof(f1586,plain,
( op1(e10,e10) = e12
| ~ spl18_259 ),
inference(avatar_component_clause,[],[f1584]) ).
fof(f1584,plain,
( spl18_259
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_259])]) ).
fof(f1855,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl18_300 ),
inference(avatar_component_clause,[],[f1853]) ).
fof(f1853,plain,
( spl18_300
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_300])]) ).
fof(f4886,plain,
( ~ spl18_56
| ~ spl18_97
| ~ spl18_135
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4885]) ).
fof(f4885,plain,
( $false
| ~ spl18_56
| ~ spl18_97
| ~ spl18_135
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4884,f133]) ).
fof(f133,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e21
& e20 != e23
& e22 != e23
& e21 != e22
& e20 != e22
& e21 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f4884,plain,
( e20 = e22
| ~ spl18_56
| ~ spl18_97
| ~ spl18_135
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4883,f971]) ).
fof(f971,plain,
( e22 = op2(e23,e20)
| ~ spl18_135 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f969,plain,
( spl18_135
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_135])]) ).
fof(f4883,plain,
( e20 = op2(e23,e20)
| ~ spl18_56
| ~ spl18_97
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4882,f1510]) ).
fof(f1510,plain,
( e20 = h3(e10)
| ~ spl18_246 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1509,plain,
( spl18_246
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_246])]) ).
fof(f4882,plain,
( op2(e23,e20) = h3(e10)
| ~ spl18_56
| ~ spl18_97
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3955,f800]) ).
fof(f3955,plain,
( op2(e23,e20) = h3(op1(e13,e10))
| ~ spl18_56
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3954,f1578]) ).
fof(f1578,plain,
e23 = h3(e13),
inference(backward_demodulation,[],[f1431,f1577]) ).
fof(f1577,plain,
e23 = op2(e21,h3(e10)),
inference(forward_demodulation,[],[f1576,f1347]) ).
fof(f1347,plain,
e21 = op2(e22,h3(e10)),
inference(forward_demodulation,[],[f293,f317]) ).
fof(f317,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e10)
& op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13)
& e22 = h3(e12)
& op2(e22,op2(e22,e22)) = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f293,plain,
e21 = op2(e22,op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(e22,e22)
& e21 = op2(e22,op2(e22,e22))
& e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f1576,plain,
e23 = op2(op2(e22,h3(e10)),h3(e10)),
inference(forward_demodulation,[],[f292,f317]) ).
fof(f292,plain,
e23 = op2(op2(e22,op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f1431,plain,
h3(e13) = op2(e21,h3(e10)),
inference(forward_demodulation,[],[f1430,f1347]) ).
fof(f1430,plain,
h3(e13) = op2(op2(e22,h3(e10)),h3(e10)),
inference(forward_demodulation,[],[f316,f317]) ).
fof(f316,plain,
op2(op2(e22,op2(e22,e22)),op2(e22,e22)) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f3954,plain,
( h3(op1(e13,e10)) = op2(h3(e13),e20)
| ~ spl18_56
| ~ spl18_246 ),
inference(forward_demodulation,[],[f624,f1510]) ).
fof(f624,plain,
( h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f623,plain,
( spl18_56
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f4795,plain,
( ~ spl18_278
| ~ spl18_126 ),
inference(avatar_split_clause,[],[f3671,f927,f1697]) ).
fof(f1697,plain,
( spl18_278
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_278])]) ).
fof(f927,plain,
( spl18_126
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_126])]) ).
fof(f3671,plain,
( e11 != op1(e12,e13)
| ~ spl18_126 ),
inference(forward_demodulation,[],[f77,f929]) ).
fof(f929,plain,
( e11 = op1(e12,e10)
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f77,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e10,e12) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e13)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e10,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e13) != op1(e12,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4789,plain,
( ~ spl18_98
| ~ spl18_87 ),
inference(avatar_split_clause,[],[f4785,f755,f802]) ).
fof(f802,plain,
( spl18_98
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_98])]) ).
fof(f755,plain,
( spl18_87
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).
fof(f4785,plain,
( e10 != op1(e10,e10)
| ~ spl18_87 ),
inference(backward_demodulation,[],[f62,f757]) ).
fof(f757,plain,
( e10 = op1(e10,e13)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f62,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4710,plain,
( ~ spl18_133
| ~ spl18_207 ),
inference(avatar_contradiction_clause,[],[f4709]) ).
fof(f4709,plain,
( $false
| ~ spl18_133
| ~ spl18_207 ),
inference(subsumption_resolution,[],[f2870,f962]) ).
fof(f962,plain,
( e13 = op1(e13,e10)
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f960]) ).
fof(f960,plain,
( spl18_133
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_133])]) ).
fof(f2870,plain,
( e13 != op1(e13,e10)
| ~ spl18_207 ),
inference(backward_demodulation,[],[f63,f1312]) ).
fof(f1312,plain,
( e13 = op1(e11,e10)
| ~ spl18_207 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1310,plain,
( spl18_207
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_207])]) ).
fof(f63,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f4669,plain,
( ~ spl18_142
| ~ spl18_281
| ~ spl18_297
| ~ spl18_306 ),
inference(avatar_contradiction_clause,[],[f4668]) ).
fof(f4668,plain,
( $false
| ~ spl18_142
| ~ spl18_281
| ~ spl18_297
| ~ spl18_306 ),
inference(subsumption_resolution,[],[f4667,f135]) ).
fof(f135,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4667,plain,
( e22 = e23
| ~ spl18_142
| ~ spl18_281
| ~ spl18_297
| ~ spl18_306 ),
inference(forward_demodulation,[],[f4663,f1839]) ).
fof(f1839,plain,
( e22 = h4(e11)
| ~ spl18_297 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1838,plain,
( spl18_297
<=> e22 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_297])]) ).
fof(f4663,plain,
( e23 = h4(e11)
| ~ spl18_142
| ~ spl18_281
| ~ spl18_297
| ~ spl18_306 ),
inference(backward_demodulation,[],[f4650,f1721]) ).
fof(f1721,plain,
( e11 = op1(e11,e12)
| ~ spl18_281 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1719,plain,
( spl18_281
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_281])]) ).
fof(f4650,plain,
( e23 = h4(op1(e11,e12))
| ~ spl18_142
| ~ spl18_297
| ~ spl18_306 ),
inference(forward_demodulation,[],[f4369,f1003]) ).
fof(f1003,plain,
( e23 = op2(e22,e23)
| ~ spl18_142 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f1001,plain,
( spl18_142
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).
fof(f4369,plain,
( op2(e22,e23) = h4(op1(e11,e12))
| ~ spl18_297
| ~ spl18_306 ),
inference(forward_demodulation,[],[f1903,f1839]) ).
fof(f1903,plain,
( h4(op1(e11,e12)) = op2(h4(e11),e23)
| ~ spl18_306 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1902,plain,
( spl18_306
<=> h4(op1(e11,e12)) = op2(h4(e11),e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_306])]) ).
fof(f4633,plain,
( ~ spl18_98
| ~ spl18_259 ),
inference(avatar_contradiction_clause,[],[f4632]) ).
fof(f4632,plain,
( $false
| ~ spl18_98
| ~ spl18_259 ),
inference(subsumption_resolution,[],[f4631,f257]) ).
fof(f257,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f4631,plain,
( e10 = e12
| ~ spl18_98
| ~ spl18_259 ),
inference(forward_demodulation,[],[f1586,f804]) ).
fof(f804,plain,
( e10 = op1(e10,e10)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f4605,plain,
( spl18_236
| ~ spl18_145
| ~ spl18_277 ),
inference(avatar_split_clause,[],[f3831,f1691,f1014,f1458]) ).
fof(f1458,plain,
( spl18_236
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_236])]) ).
fof(f1014,plain,
( spl18_145
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_145])]) ).
fof(f1691,plain,
( spl18_277
<=> e11 = op1(e11,op1(e10,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_277])]) ).
fof(f3831,plain,
( e11 = op1(e11,e13)
| ~ spl18_145
| ~ spl18_277 ),
inference(backward_demodulation,[],[f1693,f1016]) ).
fof(f1016,plain,
( e13 = op1(e10,e11)
| ~ spl18_145 ),
inference(avatar_component_clause,[],[f1014]) ).
fof(f1693,plain,
( e11 = op1(e11,op1(e10,e11))
| ~ spl18_277 ),
inference(avatar_component_clause,[],[f1691]) ).
fof(f4504,plain,
( ~ spl18_145
| ~ spl18_235
| ~ spl18_277 ),
inference(avatar_contradiction_clause,[],[f4503]) ).
fof(f4503,plain,
( $false
| ~ spl18_145
| ~ spl18_235
| ~ spl18_277 ),
inference(subsumption_resolution,[],[f4502,f255]) ).
fof(f255,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f4502,plain,
( e10 = e11
| ~ spl18_145
| ~ spl18_235
| ~ spl18_277 ),
inference(forward_demodulation,[],[f3831,f1456]) ).
fof(f4384,plain,
( ~ spl18_81
| ~ spl18_236 ),
inference(avatar_split_clause,[],[f4383,f1458,f730]) ).
fof(f730,plain,
( spl18_81
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).
fof(f4383,plain,
( e11 != op1(e13,e13)
| ~ spl18_236 ),
inference(forward_demodulation,[],[f79,f1460]) ).
fof(f1460,plain,
( e11 = op1(e11,e13)
| ~ spl18_236 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f79,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4341,plain,
( ~ spl18_174
| ~ spl18_236
| spl18_245 ),
inference(avatar_contradiction_clause,[],[f4340]) ).
fof(f4340,plain,
( $false
| ~ spl18_174
| ~ spl18_236
| spl18_245 ),
inference(subsumption_resolution,[],[f4339,f1148]) ).
fof(f1148,plain,
( e21 = op2(e21,e23)
| ~ spl18_174 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1146,plain,
( spl18_174
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_174])]) ).
fof(f4339,plain,
( e21 != op2(e21,e23)
| ~ spl18_236
| spl18_245 ),
inference(forward_demodulation,[],[f4338,f1385]) ).
fof(f1385,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f1384,f1347]) ).
fof(f1384,plain,
h3(e11) = op2(e22,h3(e10)),
inference(forward_demodulation,[],[f314,f317]) ).
fof(f314,plain,
op2(e22,op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f4338,plain,
( op2(e21,e23) != h3(e11)
| ~ spl18_236
| spl18_245 ),
inference(forward_demodulation,[],[f4337,f1460]) ).
fof(f4337,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| spl18_245 ),
inference(forward_demodulation,[],[f1507,f1578]) ).
fof(f1507,plain,
( h3(op1(e11,e13)) != op2(e21,h3(e13))
| spl18_245 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1505,plain,
( spl18_245
<=> h3(op1(e11,e13)) = op2(e21,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_245])]) ).
fof(f4336,plain,
( ~ spl18_142
| ~ spl18_249
| ~ spl18_297
| spl18_306 ),
inference(avatar_contradiction_clause,[],[f4335]) ).
fof(f4335,plain,
( $false
| ~ spl18_142
| ~ spl18_249
| ~ spl18_297
| spl18_306 ),
inference(subsumption_resolution,[],[f4334,f1003]) ).
fof(f4334,plain,
( e23 != op2(e22,e23)
| ~ spl18_249
| ~ spl18_297
| spl18_306 ),
inference(forward_demodulation,[],[f4333,f126]) ).
fof(f126,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e13) = op2(op2(e23,op2(e23,e23)),op2(e23,e23))
& e23 = h4(e12)
& op2(e23,e23) = h4(e10)
& op2(e23,op2(e23,e23)) = h4(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f4333,plain,
( op2(e22,e23) != h4(e12)
| ~ spl18_249
| ~ spl18_297
| spl18_306 ),
inference(forward_demodulation,[],[f4332,f1527]) ).
fof(f1527,plain,
( e12 = op1(e11,e12)
| ~ spl18_249 ),
inference(avatar_component_clause,[],[f1525]) ).
fof(f1525,plain,
( spl18_249
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_249])]) ).
fof(f4332,plain,
( op2(e22,e23) != h4(op1(e11,e12))
| ~ spl18_297
| spl18_306 ),
inference(forward_demodulation,[],[f1904,f1839]) ).
fof(f1904,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl18_306 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f4302,plain,
( ~ spl18_162
| ~ spl18_167
| spl18_244
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4301]) ).
fof(f4301,plain,
( $false
| ~ spl18_162
| ~ spl18_167
| spl18_244
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4300,f1093]) ).
fof(f1093,plain,
( e20 = op2(e21,e21)
| ~ spl18_162 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1091,plain,
( spl18_162
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_162])]) ).
fof(f4300,plain,
( e20 != op2(e21,e21)
| ~ spl18_167
| spl18_244
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4299,f1510]) ).
fof(f4299,plain,
( op2(e21,e21) != h3(e10)
| ~ spl18_167
| spl18_244 ),
inference(forward_demodulation,[],[f1503,f1116]) ).
fof(f1116,plain,
( e10 = op1(e11,e11)
| ~ spl18_167 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl18_167
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_167])]) ).
fof(f1503,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl18_244 ),
inference(avatar_component_clause,[],[f1501]) ).
fof(f1501,plain,
( spl18_244
<=> op2(e21,e21) = h3(op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_244])]) ).
fof(f4262,plain,
( ~ spl18_145
| ~ spl18_157
| spl18_243
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4261]) ).
fof(f4261,plain,
( $false
| ~ spl18_145
| ~ spl18_157
| spl18_243
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4260,f1071]) ).
fof(f1071,plain,
( e23 = op2(e20,e21)
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f1069,plain,
( spl18_157
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_157])]) ).
fof(f4260,plain,
( e23 != op2(e20,e21)
| ~ spl18_145
| spl18_243
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4259,f1578]) ).
fof(f4259,plain,
( op2(e20,e21) != h3(e13)
| ~ spl18_145
| spl18_243
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4258,f1016]) ).
fof(f4258,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl18_243
| ~ spl18_246 ),
inference(forward_demodulation,[],[f1499,f1510]) ).
fof(f1499,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl18_243 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1497,plain,
( spl18_243
<=> h3(op1(e10,e11)) = op2(h3(e10),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_243])]) ).
fof(f4220,plain,
( ~ spl18_152
| ~ spl18_173
| spl18_241
| ~ spl18_249 ),
inference(avatar_contradiction_clause,[],[f4219]) ).
fof(f4219,plain,
( $false
| ~ spl18_152
| ~ spl18_173
| spl18_241
| ~ spl18_249 ),
inference(subsumption_resolution,[],[f4218,f1048]) ).
fof(f1048,plain,
( e22 = op2(e21,e22)
| ~ spl18_152 ),
inference(avatar_component_clause,[],[f1046]) ).
fof(f1046,plain,
( spl18_152
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_152])]) ).
fof(f4218,plain,
( e22 != op2(e21,e22)
| ~ spl18_173
| spl18_241
| ~ spl18_249 ),
inference(forward_demodulation,[],[f4217,f1142]) ).
fof(f1142,plain,
( e22 = h3(e12)
| ~ spl18_173 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1141,plain,
( spl18_173
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_173])]) ).
fof(f4217,plain,
( op2(e21,e22) != h3(e12)
| ~ spl18_173
| spl18_241
| ~ spl18_249 ),
inference(forward_demodulation,[],[f4216,f1527]) ).
fof(f4216,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| ~ spl18_173
| spl18_241 ),
inference(forward_demodulation,[],[f1491,f1142]) ).
fof(f1491,plain,
( h3(op1(e11,e12)) != op2(e21,h3(e12))
| spl18_241 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f1489,plain,
( spl18_241
<=> h3(op1(e11,e12)) = op2(e21,h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_241])]) ).
fof(f4167,plain,
( ~ spl18_207
| spl18_242 ),
inference(avatar_contradiction_clause,[],[f4166]) ).
fof(f4166,plain,
( $false
| ~ spl18_207
| spl18_242 ),
inference(trivial_inequality_removal,[],[f4165]) ).
fof(f4165,plain,
( h3(e13) != h3(e13)
| ~ spl18_207
| spl18_242 ),
inference(forward_demodulation,[],[f1495,f1312]) ).
fof(f1495,plain,
( h3(e13) != h3(op1(e11,e10))
| spl18_242 ),
inference(avatar_component_clause,[],[f1493]) ).
fof(f1493,plain,
( spl18_242
<=> h3(e13) = h3(op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_242])]) ).
fof(f4130,plain,
( ~ spl18_108
| spl18_240
| ~ spl18_273 ),
inference(avatar_contradiction_clause,[],[f4129]) ).
fof(f4129,plain,
( $false
| ~ spl18_108
| spl18_240
| ~ spl18_273 ),
inference(subsumption_resolution,[],[f4128,f848]) ).
fof(f848,plain,
( e21 = op2(e23,e21)
| ~ spl18_108 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl18_108
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_108])]) ).
fof(f4128,plain,
( e21 != op2(e23,e21)
| spl18_240
| ~ spl18_273 ),
inference(forward_demodulation,[],[f4127,f1385]) ).
fof(f4127,plain,
( op2(e23,e21) != h3(e11)
| spl18_240
| ~ spl18_273 ),
inference(forward_demodulation,[],[f4126,f1669]) ).
fof(f1669,plain,
( e11 = op1(e13,e11)
| ~ spl18_273 ),
inference(avatar_component_clause,[],[f1667]) ).
fof(f1667,plain,
( spl18_273
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_273])]) ).
fof(f4126,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| spl18_240 ),
inference(forward_demodulation,[],[f1487,f1578]) ).
fof(f1487,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl18_240 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f1485,plain,
( spl18_240
<=> h3(op1(e13,e11)) = op2(h3(e13),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_240])]) ).
fof(f4103,plain,
( ~ spl18_100
| ~ spl18_173
| ~ spl18_221
| spl18_239 ),
inference(avatar_contradiction_clause,[],[f4102]) ).
fof(f4102,plain,
( $false
| ~ spl18_100
| ~ spl18_173
| ~ spl18_221
| spl18_239 ),
inference(subsumption_resolution,[],[f4101,f1378]) ).
fof(f1378,plain,
( e22 = op2(e22,e21)
| ~ spl18_221 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1376,plain,
( spl18_221
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_221])]) ).
fof(f4101,plain,
( e22 != op2(e22,e21)
| ~ spl18_100
| ~ spl18_173
| spl18_239 ),
inference(forward_demodulation,[],[f4100,f1142]) ).
fof(f4100,plain,
( op2(e22,e21) != h3(e12)
| ~ spl18_100
| ~ spl18_173
| spl18_239 ),
inference(forward_demodulation,[],[f4099,f813]) ).
fof(f813,plain,
( e12 = op1(e12,e11)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f811,plain,
( spl18_100
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_100])]) ).
fof(f4099,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| ~ spl18_173
| spl18_239 ),
inference(forward_demodulation,[],[f1483,f1142]) ).
fof(f1483,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl18_239 ),
inference(avatar_component_clause,[],[f1481]) ).
fof(f1481,plain,
( spl18_239
<=> h3(op1(e12,e11)) = op2(h3(e12),e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_239])]) ).
fof(f4072,plain,
( spl18_63
| ~ spl18_88
| ~ spl18_105
| ~ spl18_173
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4071]) ).
fof(f4071,plain,
( $false
| spl18_63
| ~ spl18_88
| ~ spl18_105
| ~ spl18_173
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4070,f762]) ).
fof(f762,plain,
( e20 = op2(e22,e22)
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f760]) ).
fof(f760,plain,
( spl18_88
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_88])]) ).
fof(f4070,plain,
( e20 != op2(e22,e22)
| spl18_63
| ~ spl18_105
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4069,f1510]) ).
fof(f4069,plain,
( op2(e22,e22) != h3(e10)
| spl18_63
| ~ spl18_105
| ~ spl18_173 ),
inference(forward_demodulation,[],[f4068,f834]) ).
fof(f834,plain,
( e10 = op1(e12,e12)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl18_105
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_105])]) ).
fof(f4068,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| spl18_63
| ~ spl18_173 ),
inference(forward_demodulation,[],[f653,f1142]) ).
fof(f653,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl18_63 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl18_63
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
fof(f4010,plain,
( ~ spl18_23
| spl18_67
| ~ spl18_98
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4009]) ).
fof(f4009,plain,
( $false
| ~ spl18_23
| spl18_67
| ~ spl18_98
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4008,f490]) ).
fof(f490,plain,
( e20 = op2(e20,e20)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl18_23
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f4008,plain,
( e20 != op2(e20,e20)
| spl18_67
| ~ spl18_98
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4007,f1510]) ).
fof(f4007,plain,
( op2(e20,e20) != h3(e10)
| spl18_67
| ~ spl18_98
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4006,f804]) ).
fof(f4006,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl18_67
| ~ spl18_246 ),
inference(forward_demodulation,[],[f669,f1510]) ).
fof(f669,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl18_67 ),
inference(avatar_component_clause,[],[f667]) ).
fof(f667,plain,
( spl18_67
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f3980,plain,
( spl18_62
| ~ spl18_112
| ~ spl18_126
| ~ spl18_173
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3979]) ).
fof(f3979,plain,
( $false
| spl18_62
| ~ spl18_112
| ~ spl18_126
| ~ spl18_173
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3978,f867]) ).
fof(f867,plain,
( e21 = op2(e22,e20)
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f865,plain,
( spl18_112
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_112])]) ).
fof(f3978,plain,
( e21 != op2(e22,e20)
| spl18_62
| ~ spl18_126
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3977,f1385]) ).
fof(f3977,plain,
( op2(e22,e20) != h3(e11)
| spl18_62
| ~ spl18_126
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3976,f929]) ).
fof(f3976,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| spl18_62
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3975,f1142]) ).
fof(f3975,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl18_62
| ~ spl18_246 ),
inference(forward_demodulation,[],[f649,f1510]) ).
fof(f649,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl18_62 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl18_62
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f3948,plain,
( ~ spl18_25
| spl18_59
| ~ spl18_139
| ~ spl18_173
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3947]) ).
fof(f3947,plain,
( $false
| ~ spl18_25
| spl18_59
| ~ spl18_139
| ~ spl18_173
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3946,f990]) ).
fof(f990,plain,
( e21 = op2(e20,e22)
| ~ spl18_139 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl18_139
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_139])]) ).
fof(f3946,plain,
( e21 != op2(e20,e22)
| ~ spl18_25
| spl18_59
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3945,f1385]) ).
fof(f3945,plain,
( op2(e20,e22) != h3(e11)
| ~ spl18_25
| spl18_59
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3944,f499]) ).
fof(f499,plain,
( e11 = op1(e10,e12)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f497,plain,
( spl18_25
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f3944,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl18_59
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3943,f1510]) ).
fof(f3943,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl18_59
| ~ spl18_173 ),
inference(forward_demodulation,[],[f637,f1142]) ).
fof(f637,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl18_59 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f635,plain,
( spl18_59
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f3909,plain,
( spl18_56
| ~ spl18_134
| ~ spl18_135
| ~ spl18_173
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3908]) ).
fof(f3908,plain,
( $false
| spl18_56
| ~ spl18_134
| ~ spl18_135
| ~ spl18_173
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3907,f971]) ).
fof(f3907,plain,
( e22 != op2(e23,e20)
| spl18_56
| ~ spl18_134
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3906,f1142]) ).
fof(f3906,plain,
( op2(e23,e20) != h3(e12)
| spl18_56
| ~ spl18_134
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3905,f966]) ).
fof(f966,plain,
( e12 = op1(e13,e10)
| ~ spl18_134 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f964,plain,
( spl18_134
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_134])]) ).
fof(f3905,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl18_56
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3904,f1578]) ).
fof(f3904,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl18_56
| ~ spl18_246 ),
inference(forward_demodulation,[],[f625,f1510]) ).
fof(f625,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl18_56 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f3894,plain,
( spl18_61
| ~ spl18_86
| ~ spl18_173
| ~ spl18_218
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3893]) ).
fof(f3893,plain,
( $false
| spl18_61
| ~ spl18_86
| ~ spl18_173
| ~ spl18_218
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3892,f1363]) ).
fof(f1363,plain,
( e22 = op2(e20,e23)
| ~ spl18_218 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1361,plain,
( spl18_218
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_218])]) ).
fof(f3892,plain,
( e22 != op2(e20,e23)
| spl18_61
| ~ spl18_86
| ~ spl18_173
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3891,f1142]) ).
fof(f3891,plain,
( op2(e20,e23) != h3(e12)
| spl18_61
| ~ spl18_86
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3890,f753]) ).
fof(f753,plain,
( e12 = op1(e10,e13)
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f751]) ).
fof(f751,plain,
( spl18_86
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_86])]) ).
fof(f3890,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| spl18_61
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3889,f1510]) ).
fof(f3889,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl18_61 ),
inference(forward_demodulation,[],[f645,f1578]) ).
fof(f645,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl18_61 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f643,plain,
( spl18_61
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f3866,plain,
( spl18_60
| ~ spl18_94
| ~ spl18_123
| ~ spl18_173 ),
inference(avatar_contradiction_clause,[],[f3865]) ).
fof(f3865,plain,
( $false
| spl18_60
| ~ spl18_94
| ~ spl18_123
| ~ spl18_173 ),
inference(subsumption_resolution,[],[f3864,f915]) ).
fof(f915,plain,
( e23 = op2(e23,e22)
| ~ spl18_123 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f913,plain,
( spl18_123
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_123])]) ).
fof(f3864,plain,
( e23 != op2(e23,e22)
| spl18_60
| ~ spl18_94
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3863,f1578]) ).
fof(f3863,plain,
( op2(e23,e22) != h3(e13)
| spl18_60
| ~ spl18_94
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3862,f787]) ).
fof(f787,plain,
( e13 = op1(e13,e12)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f785,plain,
( spl18_94
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).
fof(f3862,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| spl18_60
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3861,f1578]) ).
fof(f3861,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| spl18_60
| ~ spl18_173 ),
inference(forward_demodulation,[],[f641,f1142]) ).
fof(f641,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl18_60 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl18_60
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f3855,plain,
( spl18_297
| ~ spl18_135
| ~ spl18_310 ),
inference(avatar_split_clause,[],[f3854,f1918,f969,f1838]) ).
fof(f1918,plain,
( spl18_310
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_310])]) ).
fof(f3854,plain,
( e22 = h4(e11)
| ~ spl18_135
| ~ spl18_310 ),
inference(forward_demodulation,[],[f3853,f971]) ).
fof(f3853,plain,
( op2(e23,e20) = h4(e11)
| ~ spl18_310 ),
inference(forward_demodulation,[],[f1974,f1919]) ).
fof(f1919,plain,
( e20 = h4(e10)
| ~ spl18_310 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1974,plain,
h4(e11) = op2(e23,h4(e10)),
inference(backward_demodulation,[],[f124,f125]) ).
fof(f125,plain,
op2(e23,e23) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f124,plain,
op2(e23,op2(e23,e23)) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f3809,plain,
( spl18_51
| ~ spl18_142
| ~ spl18_171
| ~ spl18_173 ),
inference(avatar_contradiction_clause,[],[f3808]) ).
fof(f3808,plain,
( $false
| spl18_51
| ~ spl18_142
| ~ spl18_171
| ~ spl18_173 ),
inference(subsumption_resolution,[],[f3807,f1003]) ).
fof(f3807,plain,
( e23 != op2(e22,e23)
| spl18_51
| ~ spl18_171
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3806,f1578]) ).
fof(f3806,plain,
( op2(e22,e23) != h3(e13)
| spl18_51
| ~ spl18_171
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3627,f1134]) ).
fof(f1134,plain,
( e13 = op1(e12,e13)
| ~ spl18_171 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl18_171
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_171])]) ).
fof(f3627,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| spl18_51
| ~ spl18_173 ),
inference(forward_demodulation,[],[f3626,f1142]) ).
fof(f3626,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| spl18_51 ),
inference(forward_demodulation,[],[f605,f1578]) ).
fof(f605,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl18_51 ),
inference(avatar_component_clause,[],[f603]) ).
fof(f603,plain,
( spl18_51
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).
fof(f3772,plain,
( spl18_310
| ~ spl18_231 ),
inference(avatar_split_clause,[],[f3747,f1434,f1918]) ).
fof(f1434,plain,
( spl18_231
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_231])]) ).
fof(f3747,plain,
( e20 = h4(e10)
| ~ spl18_231 ),
inference(backward_demodulation,[],[f125,f1436]) ).
fof(f1436,plain,
( e20 = op2(e23,e23)
| ~ spl18_231 ),
inference(avatar_component_clause,[],[f1434]) ).
fof(f3760,plain,
( spl18_22
| ~ spl18_135
| ~ spl18_234 ),
inference(avatar_contradiction_clause,[],[f3759]) ).
fof(f3759,plain,
( $false
| spl18_22
| ~ spl18_135
| ~ spl18_234 ),
inference(subsumption_resolution,[],[f3755,f485]) ).
fof(f485,plain,
( e20 != op2(e20,e22)
| spl18_22 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl18_22
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f3755,plain,
( e20 = op2(e20,e22)
| ~ spl18_135
| ~ spl18_234 ),
inference(backward_demodulation,[],[f1451,f971]) ).
fof(f1451,plain,
( e20 = op2(e20,op2(e23,e20))
| ~ spl18_234 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1449,plain,
( spl18_234
<=> e20 = op2(e20,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_234])]) ).
fof(f3741,plain,
( ~ spl18_156
| ~ spl18_185
| spl18_215 ),
inference(avatar_contradiction_clause,[],[f3740]) ).
fof(f3740,plain,
( $false
| ~ spl18_156
| ~ spl18_185
| spl18_215 ),
inference(subsumption_resolution,[],[f3621,f1350]) ).
fof(f1350,plain,
( e22 != op2(e22,e23)
| spl18_215 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f1349,plain,
( spl18_215
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_215])]) ).
fof(f3621,plain,
( e22 = op2(e22,e23)
| ~ spl18_156
| ~ spl18_185 ),
inference(forward_demodulation,[],[f1206,f1067]) ).
fof(f1067,plain,
( e23 = op2(e20,e22)
| ~ spl18_156 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1065,plain,
( spl18_156
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_156])]) ).
fof(f1206,plain,
( e22 = op2(e22,op2(e20,e22))
| ~ spl18_185 ),
inference(avatar_component_clause,[],[f1204]) ).
fof(f1204,plain,
( spl18_185
<=> e22 = op2(e22,op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_185])]) ).
fof(f3711,plain,
( ~ spl18_101
| ~ spl18_277
| spl18_281 ),
inference(avatar_contradiction_clause,[],[f3710]) ).
fof(f3710,plain,
( $false
| ~ spl18_101
| ~ spl18_277
| spl18_281 ),
inference(subsumption_resolution,[],[f3709,f1720]) ).
fof(f1720,plain,
( e11 != op1(e11,e12)
| spl18_281 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f3709,plain,
( e11 = op1(e11,e12)
| ~ spl18_101
| ~ spl18_277 ),
inference(backward_demodulation,[],[f1693,f817]) ).
fof(f817,plain,
( e12 = op1(e10,e11)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f815,plain,
( spl18_101
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).
fof(f3683,plain,
( ~ spl18_24
| ~ spl18_137 ),
inference(avatar_split_clause,[],[f3682,f978,f492]) ).
fof(f492,plain,
( spl18_24
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f978,plain,
( spl18_137
<=> e20 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_137])]) ).
fof(f3682,plain,
( e20 != op2(e20,e23)
| ~ spl18_137 ),
inference(backward_demodulation,[],[f1934,f979]) ).
fof(f979,plain,
( e20 = h1(e10)
| ~ spl18_137 ),
inference(avatar_component_clause,[],[f978]) ).
fof(f1934,plain,
op2(e20,e23) != h1(e10),
inference(forward_demodulation,[],[f364,f129]) ).
fof(f129,plain,
op2(e20,e20) = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e13) = op2(op2(e20,op2(e20,e20)),op2(e20,e20))
& e20 = h1(e12)
& op2(e20,e20) = h1(e10)
& op2(e20,op2(e20,e20)) = h1(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f364,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e20,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e23,e22) != op2(e23,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e23,e20) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e22)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e20) != op2(e21,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e20) != op2(e23,e20)
& op2(e23,e21) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3674,plain,
( ~ spl18_71
| spl18_111
| ~ spl18_295 ),
inference(avatar_contradiction_clause,[],[f3673]) ).
fof(f3673,plain,
( $false
| ~ spl18_71
| spl18_111
| ~ spl18_295 ),
inference(subsumption_resolution,[],[f3672,f862]) ).
fof(f862,plain,
( e21 != op2(e21,e20)
| spl18_111 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f861,plain,
( spl18_111
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_111])]) ).
fof(f3672,plain,
( e21 = op2(e21,e20)
| ~ spl18_71
| ~ spl18_295 ),
inference(forward_demodulation,[],[f3393,f1822]) ).
fof(f1822,plain,
( e20 = h2(e10)
| ~ spl18_295 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1821,plain,
( spl18_295
<=> e20 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_295])]) ).
fof(f3393,plain,
( e21 = op2(e21,h2(e10))
| ~ spl18_71 ),
inference(forward_demodulation,[],[f688,f157]) ).
fof(f157,plain,
op2(e21,e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e10)
& h2(e13) = op2(op2(e21,op2(e21,e21)),op2(e21,e21))
& op2(e21,op2(e21,e21)) = h2(e11)
& e21 = h2(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f688,plain,
( e21 = op2(e21,op2(e21,e21))
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl18_71
<=> e21 = op2(e21,op2(e21,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_71])]) ).
fof(f3656,plain,
( ~ spl18_120
| ~ spl18_295 ),
inference(avatar_split_clause,[],[f3655,f1821,f900]) ).
fof(f900,plain,
( spl18_120
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_120])]) ).
fof(f3655,plain,
( e20 != op2(e23,e21)
| ~ spl18_295 ),
inference(forward_demodulation,[],[f1756,f1822]) ).
fof(f1756,plain,
op2(e23,e21) != h2(e10),
inference(backward_demodulation,[],[f385,f157]) ).
fof(f385,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3613,plain,
( spl18_295
| ~ spl18_162 ),
inference(avatar_split_clause,[],[f3612,f1091,f1821]) ).
fof(f3612,plain,
( e20 = h2(e10)
| ~ spl18_162 ),
inference(forward_demodulation,[],[f157,f1093]) ).
fof(f3601,plain,
( spl18_22
| ~ spl18_183
| ~ spl18_291 ),
inference(avatar_split_clause,[],[f3599,f1800,f1194,f484]) ).
fof(f1194,plain,
( spl18_183
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_183])]) ).
fof(f1800,plain,
( spl18_291
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_291])]) ).
fof(f3599,plain,
( e20 = op2(e20,e22)
| ~ spl18_183
| ~ spl18_291 ),
inference(backward_demodulation,[],[f3495,f1195]) ).
fof(f1195,plain,
( e22 = h1(e10)
| ~ spl18_183 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f3495,plain,
( e20 = op2(e20,h1(e10))
| ~ spl18_291 ),
inference(forward_demodulation,[],[f1406,f1802]) ).
fof(f1802,plain,
( e20 = h1(e11)
| ~ spl18_291 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f1406,plain,
h1(e11) = op2(e20,h1(e10)),
inference(forward_demodulation,[],[f128,f129]) ).
fof(f128,plain,
op2(e20,op2(e20,e20)) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f3575,plain,
( ~ spl18_221
| ~ spl18_215 ),
inference(avatar_split_clause,[],[f3574,f1349,f1376]) ).
fof(f3574,plain,
( e22 != op2(e22,e21)
| ~ spl18_215 ),
inference(forward_demodulation,[],[f378,f1351]) ).
fof(f1351,plain,
( e22 = op2(e22,e23)
| ~ spl18_215 ),
inference(avatar_component_clause,[],[f1349]) ).
fof(f378,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3516,plain,
( ~ spl18_78
| ~ spl18_182
| spl18_200 ),
inference(avatar_contradiction_clause,[],[f3515]) ).
fof(f3515,plain,
( $false
| ~ spl18_78
| ~ spl18_182
| spl18_200 ),
inference(subsumption_resolution,[],[f3514,f1283]) ).
fof(f1283,plain,
( e20 != e23
| spl18_200 ),
inference(avatar_component_clause,[],[f1281]) ).
fof(f1281,plain,
( spl18_200
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_200])]) ).
fof(f3514,plain,
( e20 = e23
| ~ spl18_78
| ~ spl18_182 ),
inference(backward_demodulation,[],[f1191,f718]) ).
fof(f718,plain,
( e20 = op2(e21,e20)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f716]) ).
fof(f716,plain,
( spl18_78
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).
fof(f1191,plain,
( e23 = op2(e21,e20)
| ~ spl18_182 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1189,plain,
( spl18_182
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_182])]) ).
fof(f3504,plain,
( ~ spl18_219
| spl18_274 ),
inference(avatar_contradiction_clause,[],[f3503]) ).
fof(f3503,plain,
( $false
| ~ spl18_219
| spl18_274 ),
inference(subsumption_resolution,[],[f3501,f1674]) ).
fof(f1674,plain,
( e22 != h2(e10)
| spl18_274 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1672,plain,
( spl18_274
<=> e22 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_274])]) ).
fof(f3501,plain,
( e22 = h2(e10)
| ~ spl18_219 ),
inference(backward_demodulation,[],[f157,f1368]) ).
fof(f1368,plain,
( e22 = op2(e21,e21)
| ~ spl18_219 ),
inference(avatar_component_clause,[],[f1366]) ).
fof(f1366,plain,
( spl18_219
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_219])]) ).
fof(f3490,plain,
( spl18_212
| ~ spl18_254 ),
inference(avatar_contradiction_clause,[],[f3489]) ).
fof(f3489,plain,
( $false
| spl18_212
| ~ spl18_254 ),
inference(subsumption_resolution,[],[f3488,f1335]) ).
fof(f1335,plain,
( e23 != h2(e10)
| spl18_212 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl18_212
<=> e23 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_212])]) ).
fof(f3488,plain,
( e23 = h2(e10)
| ~ spl18_254 ),
inference(backward_demodulation,[],[f157,f1561]) ).
fof(f1561,plain,
( e23 = op2(e21,e21)
| ~ spl18_254 ),
inference(avatar_component_clause,[],[f1559]) ).
fof(f1559,plain,
( spl18_254
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_254])]) ).
fof(f3463,plain,
( ~ spl18_160
| ~ spl18_174 ),
inference(avatar_contradiction_clause,[],[f3462]) ).
fof(f3462,plain,
( $false
| ~ spl18_160
| ~ spl18_174 ),
inference(subsumption_resolution,[],[f3460,f137]) ).
fof(f137,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f3460,plain,
( e20 = e21
| ~ spl18_160
| ~ spl18_174 ),
inference(backward_demodulation,[],[f1085,f1148]) ).
fof(f1085,plain,
( e20 = op2(e21,e23)
| ~ spl18_160 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1083,plain,
( spl18_160
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_160])]) ).
fof(f3459,plain,
( spl18_174
| ~ spl18_157
| ~ spl18_276 ),
inference(avatar_split_clause,[],[f3457,f1686,f1069,f1146]) ).
fof(f1686,plain,
( spl18_276
<=> e21 = op2(e21,op2(e20,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_276])]) ).
fof(f3457,plain,
( e21 = op2(e21,e23)
| ~ spl18_157
| ~ spl18_276 ),
inference(backward_demodulation,[],[f1688,f1071]) ).
fof(f1688,plain,
( e21 = op2(e21,op2(e20,e21))
| ~ spl18_276 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f3419,plain,
( spl18_123
| ~ spl18_218
| ~ spl18_282 ),
inference(avatar_split_clause,[],[f3418,f1725,f1361,f913]) ).
fof(f1725,plain,
( spl18_282
<=> e23 = op2(e23,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_282])]) ).
fof(f3418,plain,
( e23 = op2(e23,e22)
| ~ spl18_218
| ~ spl18_282 ),
inference(backward_demodulation,[],[f1727,f1363]) ).
fof(f1727,plain,
( e23 = op2(e23,op2(e20,e23))
| ~ spl18_282 ),
inference(avatar_component_clause,[],[f1725]) ).
fof(f3397,plain,
( ~ spl18_274
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f3396,f1046,f1672]) ).
fof(f3396,plain,
( e22 != h2(e10)
| ~ spl18_152 ),
inference(forward_demodulation,[],[f1755,f1048]) ).
fof(f1755,plain,
op2(e21,e22) != h2(e10),
inference(backward_demodulation,[],[f373,f157]) ).
fof(f373,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3392,plain,
( ~ spl18_212
| ~ spl18_182 ),
inference(avatar_split_clause,[],[f3391,f1189,f1333]) ).
fof(f3391,plain,
( e23 != h2(e10)
| ~ spl18_182 ),
inference(forward_demodulation,[],[f1752,f1191]) ).
fof(f1752,plain,
op2(e21,e20) != h2(e10),
inference(backward_demodulation,[],[f358,f157]) ).
fof(f358,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3383,plain,
( ~ spl18_295
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f3382,f1083,f1821]) ).
fof(f3382,plain,
( e20 != h2(e10)
| ~ spl18_160 ),
inference(forward_demodulation,[],[f1753,f1085]) ).
fof(f1753,plain,
op2(e21,e23) != h2(e10),
inference(backward_demodulation,[],[f366,f157]) ).
fof(f366,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3376,plain,
( ~ spl18_119
| ~ spl18_120
| spl18_200 ),
inference(avatar_contradiction_clause,[],[f3375]) ).
fof(f3375,plain,
( $false
| ~ spl18_119
| ~ spl18_120
| spl18_200 ),
inference(subsumption_resolution,[],[f3374,f1283]) ).
fof(f3374,plain,
( e20 = e23
| ~ spl18_119
| ~ spl18_120 ),
inference(backward_demodulation,[],[f898,f902]) ).
fof(f902,plain,
( e20 = op2(e23,e21)
| ~ spl18_120 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f898,plain,
( e23 = op2(e23,e21)
| ~ spl18_119 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f896,plain,
( spl18_119
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_119])]) ).
fof(f3360,plain,
( ~ spl18_135
| ~ spl18_160
| ~ spl18_316 ),
inference(avatar_contradiction_clause,[],[f3359]) ).
fof(f3359,plain,
( $false
| ~ spl18_135
| ~ spl18_160
| ~ spl18_316 ),
inference(subsumption_resolution,[],[f3358,f135]) ).
fof(f3358,plain,
( e22 = e23
| ~ spl18_135
| ~ spl18_160
| ~ spl18_316 ),
inference(forward_demodulation,[],[f3356,f971]) ).
fof(f3356,plain,
( e23 = op2(e23,e20)
| ~ spl18_160
| ~ spl18_316 ),
inference(backward_demodulation,[],[f1972,f1085]) ).
fof(f1972,plain,
( e23 = op2(e23,op2(e21,e23))
| ~ spl18_316 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1970,plain,
( spl18_316
<=> e23 = op2(e23,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_316])]) ).
fof(f3350,plain,
( ~ spl18_256
| ~ spl18_182 ),
inference(avatar_split_clause,[],[f3349,f1189,f1567]) ).
fof(f1567,plain,
( spl18_256
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_256])]) ).
fof(f3349,plain,
( e23 != op2(e21,e23)
| ~ spl18_182 ),
inference(forward_demodulation,[],[f362,f1191]) ).
fof(f362,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3323,plain,
( spl18_140
| ~ spl18_271
| ~ spl18_276 ),
inference(avatar_contradiction_clause,[],[f3322]) ).
fof(f3322,plain,
( $false
| spl18_140
| ~ spl18_271
| ~ spl18_276 ),
inference(subsumption_resolution,[],[f3321,f993]) ).
fof(f993,plain,
( e21 != op2(e21,e22)
| spl18_140 ),
inference(avatar_component_clause,[],[f992]) ).
fof(f992,plain,
( spl18_140
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_140])]) ).
fof(f3321,plain,
( e21 = op2(e21,e22)
| ~ spl18_271
| ~ spl18_276 ),
inference(backward_demodulation,[],[f1688,f1659]) ).
fof(f1659,plain,
( e22 = op2(e20,e21)
| ~ spl18_271 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f1657,plain,
( spl18_271
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_271])]) ).
fof(f3318,plain,
( ~ spl18_142
| ~ spl18_215 ),
inference(avatar_contradiction_clause,[],[f3317]) ).
fof(f3317,plain,
( $false
| ~ spl18_142
| ~ spl18_215 ),
inference(subsumption_resolution,[],[f3316,f135]) ).
fof(f3316,plain,
( e22 = e23
| ~ spl18_142
| ~ spl18_215 ),
inference(forward_demodulation,[],[f1003,f1351]) ).
fof(f3261,plain,
( ~ spl18_271
| ~ spl18_221 ),
inference(avatar_split_clause,[],[f3260,f1376,f1657]) ).
fof(f3260,plain,
( e22 != op2(e20,e21)
| ~ spl18_221 ),
inference(forward_demodulation,[],[f381,f1378]) ).
fof(f381,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3243,plain,
( ~ spl18_310
| spl18_54
| ~ spl18_82
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f3242,f1509,f734,f615,f1918]) ).
fof(f615,plain,
( spl18_54
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
fof(f734,plain,
( spl18_82
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_82])]) ).
fof(f3242,plain,
( e20 != h4(e10)
| spl18_54
| ~ spl18_82
| ~ spl18_246 ),
inference(forward_demodulation,[],[f2809,f1510]) ).
fof(f2809,plain,
( h3(e10) != h4(e10)
| spl18_54
| ~ spl18_82 ),
inference(forward_demodulation,[],[f2349,f736]) ).
fof(f736,plain,
( e10 = op1(e13,e13)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f734]) ).
fof(f2349,plain,
( h4(e10) != h3(op1(e13,e13))
| spl18_54 ),
inference(forward_demodulation,[],[f2348,f125]) ).
fof(f2348,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| spl18_54 ),
inference(forward_demodulation,[],[f617,f1578]) ).
fof(f617,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl18_54 ),
inference(avatar_component_clause,[],[f615]) ).
fof(f3155,plain,
( ~ spl18_246
| ~ spl18_253 ),
inference(avatar_contradiction_clause,[],[f3154]) ).
fof(f3154,plain,
( $false
| ~ spl18_246
| ~ spl18_253 ),
inference(subsumption_resolution,[],[f2746,f1556]) ).
fof(f1556,plain,
( e20 = op2(e22,e23)
| ~ spl18_253 ),
inference(avatar_component_clause,[],[f1554]) ).
fof(f1554,plain,
( spl18_253
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_253])]) ).
fof(f2746,plain,
( e20 != op2(e22,e23)
| ~ spl18_246 ),
inference(forward_demodulation,[],[f1159,f1510]) ).
fof(f1159,plain,
op2(e22,e23) != h3(e10),
inference(backward_demodulation,[],[f354,f317]) ).
fof(f354,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3134,plain,
( spl18_182
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f2591,f1509,f1189]) ).
fof(f2591,plain,
( e23 = op2(e21,e20)
| ~ spl18_246 ),
inference(backward_demodulation,[],[f1577,f1510]) ).
fof(f3078,plain,
( ~ spl18_27
| ~ spl18_105
| ~ spl18_257 ),
inference(avatar_contradiction_clause,[],[f3077]) ).
fof(f3077,plain,
( $false
| ~ spl18_27
| ~ spl18_105
| ~ spl18_257 ),
inference(subsumption_resolution,[],[f3076,f257]) ).
fof(f3076,plain,
( e10 = e12
| ~ spl18_27
| ~ spl18_105
| ~ spl18_257 ),
inference(forward_demodulation,[],[f3075,f834]) ).
fof(f3075,plain,
( e12 = op1(e12,e12)
| ~ spl18_27
| ~ spl18_257 ),
inference(forward_demodulation,[],[f1574,f507]) ).
fof(f507,plain,
( e12 = op1(e10,e12)
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl18_27
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f1574,plain,
( e12 = op1(e12,op1(e10,e12))
| ~ spl18_257 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1572,plain,
( spl18_257
<=> e12 = op1(e12,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_257])]) ).
fof(f3069,plain,
( ~ spl18_88
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f3068]) ).
fof(f3068,plain,
( $false
| ~ spl18_88
| ~ spl18_90 ),
inference(subsumption_resolution,[],[f3067,f133]) ).
fof(f3067,plain,
( e20 = e22
| ~ spl18_88
| ~ spl18_90 ),
inference(backward_demodulation,[],[f762,f770]) ).
fof(f770,plain,
( e22 = op2(e22,e22)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f768,plain,
( spl18_90
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).
fof(f3058,plain,
( ~ spl18_88
| ~ spl18_112
| ~ spl18_149 ),
inference(avatar_contradiction_clause,[],[f3057]) ).
fof(f3057,plain,
( $false
| ~ spl18_88
| ~ spl18_112
| ~ spl18_149 ),
inference(subsumption_resolution,[],[f3056,f134]) ).
fof(f134,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3056,plain,
( e21 = e22
| ~ spl18_88
| ~ spl18_112
| ~ spl18_149 ),
inference(forward_demodulation,[],[f3055,f867]) ).
fof(f3055,plain,
( e22 = op2(e22,e20)
| ~ spl18_88
| ~ spl18_149 ),
inference(forward_demodulation,[],[f1035,f762]) ).
fof(f1035,plain,
( e22 = op2(e22,op2(e22,e22))
| ~ spl18_149 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl18_149
<=> e22 = op2(e22,op2(e22,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_149])]) ).
fof(f3051,plain,
( ~ spl18_86
| ~ spl18_187
| ~ spl18_305 ),
inference(avatar_contradiction_clause,[],[f3050]) ).
fof(f3050,plain,
( $false
| ~ spl18_86
| ~ spl18_187
| ~ spl18_305 ),
inference(subsumption_resolution,[],[f3049,f254]) ).
fof(f254,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3049,plain,
( e11 = e13
| ~ spl18_86
| ~ spl18_187
| ~ spl18_305 ),
inference(forward_demodulation,[],[f3048,f1220]) ).
fof(f1220,plain,
( e11 = op1(e13,e12)
| ~ spl18_187 ),
inference(avatar_component_clause,[],[f1218]) ).
fof(f1218,plain,
( spl18_187
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_187])]) ).
fof(f3048,plain,
( e13 = op1(e13,e12)
| ~ spl18_86
| ~ spl18_305 ),
inference(forward_demodulation,[],[f1892,f753]) ).
fof(f1892,plain,
( e13 = op1(e13,op1(e10,e13))
| ~ spl18_305 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1890,plain,
( spl18_305
<=> e13 = op1(e13,op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_305])]) ).
fof(f3004,plain,
( ~ spl18_76
| ~ spl18_160
| spl18_200
| ~ spl18_316 ),
inference(avatar_contradiction_clause,[],[f3003]) ).
fof(f3003,plain,
( $false
| ~ spl18_76
| ~ spl18_160
| spl18_200
| ~ spl18_316 ),
inference(subsumption_resolution,[],[f3002,f1283]) ).
fof(f3002,plain,
( e20 = e23
| ~ spl18_76
| ~ spl18_160
| ~ spl18_316 ),
inference(forward_demodulation,[],[f3001,f710]) ).
fof(f710,plain,
( e20 = op2(e23,e20)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f708]) ).
fof(f708,plain,
( spl18_76
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f3001,plain,
( e23 = op2(e23,e20)
| ~ spl18_160
| ~ spl18_316 ),
inference(forward_demodulation,[],[f1972,f1085]) ).
fof(f2987,plain,
( ~ spl18_182
| ~ spl18_220 ),
inference(avatar_contradiction_clause,[],[f2986]) ).
fof(f2986,plain,
( $false
| ~ spl18_182
| ~ spl18_220 ),
inference(subsumption_resolution,[],[f2985,f135]) ).
fof(f2985,plain,
( e22 = e23
| ~ spl18_182
| ~ spl18_220 ),
inference(backward_demodulation,[],[f1191,f1372]) ).
fof(f1372,plain,
( e22 = op2(e21,e20)
| ~ spl18_220 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1370,plain,
( spl18_220
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_220])]) ).
fof(f2980,plain,
( ~ spl18_155
| ~ spl18_182 ),
inference(avatar_split_clause,[],[f2979,f1189,f1061]) ).
fof(f1061,plain,
( spl18_155
<=> e23 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_155])]) ).
fof(f2979,plain,
( e23 != h1(e10)
| ~ spl18_182 ),
inference(forward_demodulation,[],[f1996,f1191]) ).
fof(f1996,plain,
op2(e21,e20) != h1(e10),
inference(forward_demodulation,[],[f359,f129]) ).
fof(f359,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2971,plain,
( ~ spl18_167
| spl18_209
| ~ spl18_238 ),
inference(avatar_contradiction_clause,[],[f2970]) ).
fof(f2970,plain,
( $false
| ~ spl18_167
| spl18_209
| ~ spl18_238 ),
inference(subsumption_resolution,[],[f2969,f1319]) ).
fof(f1319,plain,
( e11 != op1(e11,e10)
| spl18_209 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl18_209
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_209])]) ).
fof(f2969,plain,
( e11 = op1(e11,e10)
| ~ spl18_167
| ~ spl18_238 ),
inference(forward_demodulation,[],[f1469,f1116]) ).
fof(f1469,plain,
( e11 = op1(e11,op1(e11,e11))
| ~ spl18_238 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl18_238
<=> e11 = op1(e11,op1(e11,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_238])]) ).
fof(f2965,plain,
( spl18_87
| ~ spl18_207
| ~ spl18_317 ),
inference(avatar_contradiction_clause,[],[f2964]) ).
fof(f2964,plain,
( $false
| spl18_87
| ~ spl18_207
| ~ spl18_317 ),
inference(subsumption_resolution,[],[f2963,f756]) ).
fof(f756,plain,
( e10 != op1(e10,e13)
| spl18_87 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f2963,plain,
( e10 = op1(e10,e13)
| ~ spl18_207
| ~ spl18_317 ),
inference(forward_demodulation,[],[f1985,f1312]) ).
fof(f1985,plain,
( e10 = op1(e10,op1(e11,e10))
| ~ spl18_317 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f1983,plain,
( spl18_317
<=> e10 = op1(e10,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_317])]) ).
fof(f2936,plain,
( ~ spl18_222
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
fof(f2935,plain,
( $false
| ~ spl18_222
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f2934,f133]) ).
fof(f2934,plain,
( e20 = e22
| ~ spl18_222
| ~ spl18_246 ),
inference(backward_demodulation,[],[f1510,f1382]) ).
fof(f1382,plain,
( e22 = h3(e10)
| ~ spl18_222 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl18_222
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_222])]) ).
fof(f2908,plain,
( ~ spl18_112
| ~ spl18_177 ),
inference(avatar_contradiction_clause,[],[f2907]) ).
fof(f2907,plain,
( $false
| ~ spl18_112
| ~ spl18_177 ),
inference(subsumption_resolution,[],[f2906,f134]) ).
fof(f2906,plain,
( e21 = e22
| ~ spl18_112
| ~ spl18_177 ),
inference(backward_demodulation,[],[f1164,f867]) ).
fof(f1164,plain,
( e22 = op2(e22,e20)
| ~ spl18_177 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1162,plain,
( spl18_177
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_177])]) ).
fof(f2904,plain,
( ~ spl18_119
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f2903]) ).
fof(f2903,plain,
( $false
| ~ spl18_119
| ~ spl18_157 ),
inference(subsumption_resolution,[],[f2902,f1071]) ).
fof(f2902,plain,
( e23 != op2(e20,e21)
| ~ spl18_119 ),
inference(forward_demodulation,[],[f355,f898]) ).
fof(f355,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2860,plain,
( ~ spl18_217
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f2859,f1046,f1357]) ).
fof(f1357,plain,
( spl18_217
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_217])]) ).
fof(f2859,plain,
( e22 != op2(e21,e23)
| ~ spl18_152 ),
inference(forward_demodulation,[],[f350,f1048]) ).
fof(f350,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2845,plain,
( ~ spl18_287
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f2844,f1509,f1759]) ).
fof(f1759,plain,
( spl18_287
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_287])]) ).
fof(f2844,plain,
( e20 != op2(e23,e22)
| ~ spl18_246 ),
inference(forward_demodulation,[],[f1471,f1510]) ).
fof(f1471,plain,
op2(e23,e22) != h3(e10),
inference(forward_demodulation,[],[f384,f317]) ).
fof(f384,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2843,plain,
( ~ spl18_151
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2842,f969,f1042]) ).
fof(f1042,plain,
( spl18_151
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_151])]) ).
fof(f2842,plain,
( e22 != op2(e23,e22)
| ~ spl18_135 ),
inference(forward_demodulation,[],[f396,f971]) ).
fof(f396,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2817,plain,
( spl18_126
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2225,f832,f927]) ).
fof(f2225,plain,
( e11 = op1(e12,e10)
| ~ spl18_105 ),
inference(backward_demodulation,[],[f297,f834]) ).
fof(f297,plain,
e11 = op1(e12,op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e11 = op1(e12,op1(e12,e12))
& e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12))
& e10 = op1(e12,e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f2806,plain,
( ~ spl18_105
| ~ spl18_301 ),
inference(avatar_contradiction_clause,[],[f2805]) ).
fof(f2805,plain,
( $false
| ~ spl18_105
| ~ spl18_301 ),
inference(subsumption_resolution,[],[f2804,f255]) ).
fof(f2804,plain,
( e10 = e11
| ~ spl18_105
| ~ spl18_301 ),
inference(forward_demodulation,[],[f1860,f834]) ).
fof(f1860,plain,
( e11 = op1(e12,e12)
| ~ spl18_301 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1858,plain,
( spl18_301
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_301])]) ).
fof(f2782,plain,
( spl18_112
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f2590,f1509,f865]) ).
fof(f2590,plain,
( e21 = op2(e22,e20)
| ~ spl18_246 ),
inference(backward_demodulation,[],[f1347,f1510]) ).
fof(f2766,plain,
( spl18_207
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2226,f832,f1310]) ).
fof(f2226,plain,
( e13 = op1(e11,e10)
| ~ spl18_105 ),
inference(backward_demodulation,[],[f1804,f834]) ).
fof(f1804,plain,
e13 = op1(e11,op1(e12,e12)),
inference(backward_demodulation,[],[f296,f297]) ).
fof(f296,plain,
e13 = op1(op1(e12,op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f2730,plain,
( spl18_90
| ~ spl18_150
| ~ spl18_185 ),
inference(avatar_split_clause,[],[f2729,f1204,f1038,f768]) ).
fof(f1038,plain,
( spl18_150
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_150])]) ).
fof(f2729,plain,
( e22 = op2(e22,e22)
| ~ spl18_150
| ~ spl18_185 ),
inference(forward_demodulation,[],[f1206,f1040]) ).
fof(f1040,plain,
( e22 = op2(e20,e22)
| ~ spl18_150 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f2699,plain,
( ~ spl18_161
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f2698]) ).
fof(f2698,plain,
( $false
| ~ spl18_161
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f2697,f1089]) ).
fof(f1089,plain,
( e20 = op2(e21,e22)
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1087,plain,
( spl18_161
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_161])]) ).
fof(f2697,plain,
( e20 != op2(e21,e22)
| ~ spl18_246 ),
inference(forward_demodulation,[],[f1828,f1510]) ).
fof(f1828,plain,
op2(e21,e22) != h3(e10),
inference(forward_demodulation,[],[f356,f317]) ).
fof(f356,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2670,plain,
( ~ spl18_124
| spl18_200
| ~ spl18_231 ),
inference(avatar_contradiction_clause,[],[f2669]) ).
fof(f2669,plain,
( $false
| ~ spl18_124
| spl18_200
| ~ spl18_231 ),
inference(subsumption_resolution,[],[f2668,f1283]) ).
fof(f2668,plain,
( e20 = e23
| ~ spl18_124
| ~ spl18_231 ),
inference(backward_demodulation,[],[f919,f1436]) ).
fof(f919,plain,
( e23 = op2(e23,e23)
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl18_124
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_124])]) ).
fof(f2610,plain,
( ~ spl18_105
| ~ spl18_209 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2609,plain,
( $false
| ~ spl18_105
| ~ spl18_209 ),
inference(subsumption_resolution,[],[f2608,f254]) ).
fof(f2608,plain,
( e11 = e13
| ~ spl18_105
| ~ spl18_209 ),
inference(forward_demodulation,[],[f2226,f1320]) ).
fof(f1320,plain,
( e11 = op1(e11,e10)
| ~ spl18_209 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f2559,plain,
( ~ spl18_207
| ~ spl18_208 ),
inference(avatar_contradiction_clause,[],[f2558]) ).
fof(f2558,plain,
( $false
| ~ spl18_207
| ~ spl18_208 ),
inference(subsumption_resolution,[],[f2557,f259]) ).
fof(f259,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2557,plain,
( e12 = e13
| ~ spl18_207
| ~ spl18_208 ),
inference(forward_demodulation,[],[f1312,f1316]) ).
fof(f1316,plain,
( e12 = op1(e11,e10)
| ~ spl18_208 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl18_208
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_208])]) ).
fof(f2544,plain,
( ~ spl18_28
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2543,f832,f509]) ).
fof(f2543,plain,
( e10 != op1(e10,e12)
| ~ spl18_105 ),
inference(forward_demodulation,[],[f93,f834]) ).
fof(f93,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2542,plain,
( ~ spl18_188
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f2541,f964,f1222]) ).
fof(f1222,plain,
( spl18_188
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_188])]) ).
fof(f2541,plain,
( e12 != op1(e13,e12)
| ~ spl18_134 ),
inference(forward_demodulation,[],[f83,f966]) ).
fof(f83,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2536,plain,
( ~ spl18_140
| ~ spl18_170 ),
inference(avatar_split_clause,[],[f2533,f1127,f992]) ).
fof(f1127,plain,
( spl18_170
<=> e21 = h2(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_170])]) ).
fof(f2533,plain,
( e21 != op2(e21,e22)
| ~ spl18_170 ),
inference(backward_demodulation,[],[f1755,f1128]) ).
fof(f1128,plain,
( e21 = h2(e10)
| ~ spl18_170 ),
inference(avatar_component_clause,[],[f1127]) ).
fof(f2528,plain,
( spl18_28
| ~ spl18_134
| ~ spl18_290 ),
inference(avatar_split_clause,[],[f2527,f1790,f964,f509]) ).
fof(f1790,plain,
( spl18_290
<=> e10 = op1(e10,op1(e13,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_290])]) ).
fof(f2527,plain,
( e10 = op1(e10,e12)
| ~ spl18_134
| ~ spl18_290 ),
inference(backward_demodulation,[],[f1792,f966]) ).
fof(f1792,plain,
( e10 = op1(e10,op1(e13,e10))
| ~ spl18_290 ),
inference(avatar_component_clause,[],[f1790]) ).
fof(f2519,plain,
( ~ spl18_122
| ~ spl18_182 ),
inference(avatar_split_clause,[],[f2518,f1189,f909]) ).
fof(f909,plain,
( spl18_122
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_122])]) ).
fof(f2518,plain,
( e23 != op2(e23,e20)
| ~ spl18_182 ),
inference(forward_demodulation,[],[f365,f1191]) ).
fof(f365,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2497,plain,
( ~ spl18_246
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f2496,f712,f1509]) ).
fof(f712,plain,
( spl18_77
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).
fof(f2496,plain,
( e20 != h3(e10)
| ~ spl18_77 ),
inference(forward_demodulation,[],[f1863,f714]) ).
fof(f714,plain,
( e20 = op2(e22,e20)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f712]) ).
fof(f1863,plain,
op2(e22,e20) != h3(e10),
inference(forward_demodulation,[],[f363,f317]) ).
fof(f363,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2478,plain,
( ~ spl18_246
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f2477,f484,f1509]) ).
fof(f2477,plain,
( e20 != h3(e10)
| ~ spl18_22 ),
inference(forward_demodulation,[],[f1160,f486]) ).
fof(f486,plain,
( e20 = op2(e20,e22)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f1160,plain,
op2(e20,e22) != h3(e10),
inference(backward_demodulation,[],[f389,f317]) ).
fof(f389,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2454,plain,
( spl18_170
| ~ spl18_175 ),
inference(avatar_split_clause,[],[f2453,f1150,f1127]) ).
fof(f1150,plain,
( spl18_175
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_175])]) ).
fof(f2453,plain,
( e21 = h2(e10)
| ~ spl18_175 ),
inference(backward_demodulation,[],[f157,f1152]) ).
fof(f1152,plain,
( e21 = op2(e21,e21)
| ~ spl18_175 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f2439,plain,
( ~ spl18_96
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2438,f832,f794]) ).
fof(f794,plain,
( spl18_96
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).
fof(f2438,plain,
( e10 != op1(e12,e10)
| ~ spl18_105 ),
inference(forward_demodulation,[],[f88,f834]) ).
fof(f88,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2431,plain,
( ~ spl18_137
| ~ spl18_183 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl18_137
| ~ spl18_183 ),
inference(subsumption_resolution,[],[f2429,f133]) ).
fof(f2429,plain,
( e20 = e22
| ~ spl18_137
| ~ spl18_183 ),
inference(backward_demodulation,[],[f979,f1195]) ).
fof(f2423,plain,
( spl18_246
| ~ spl18_88 ),
inference(avatar_split_clause,[],[f2422,f760,f1509]) ).
fof(f2422,plain,
( e20 = h3(e10)
| ~ spl18_88 ),
inference(forward_demodulation,[],[f317,f762]) ).
fof(f2407,plain,
( ~ spl18_103
| ~ spl18_105 ),
inference(avatar_contradiction_clause,[],[f2406]) ).
fof(f2406,plain,
( $false
| ~ spl18_103
| ~ spl18_105 ),
inference(subsumption_resolution,[],[f2405,f834]) ).
fof(f2405,plain,
( e10 != op1(e12,e12)
| ~ spl18_103 ),
inference(forward_demodulation,[],[f81,f826]) ).
fof(f826,plain,
( e10 = op1(e13,e12)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl18_103
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_103])]) ).
fof(f81,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2398,plain,
( ~ spl18_112
| ~ spl18_109 ),
inference(avatar_split_clause,[],[f2397,f850,f865]) ).
fof(f850,plain,
( spl18_109
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_109])]) ).
fof(f2397,plain,
( e21 != op2(e22,e20)
| ~ spl18_109 ),
inference(forward_demodulation,[],[f391,f852]) ).
fof(f852,plain,
( e21 = op2(e23,e20)
| ~ spl18_109 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f391,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2330,plain,
( ~ spl18_105
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2329,plain,
( $false
| ~ spl18_105
| ~ spl18_115 ),
inference(subsumption_resolution,[],[f2328,f257]) ).
fof(f2328,plain,
( e10 = e12
| ~ spl18_105
| ~ spl18_115 ),
inference(forward_demodulation,[],[f880,f834]) ).
fof(f880,plain,
( e12 = op1(e12,e12)
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl18_115
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_115])]) ).
fof(f2315,plain,
( ~ spl18_86
| ~ spl18_116 ),
inference(avatar_split_clause,[],[f2314,f882,f751]) ).
fof(f882,plain,
( spl18_116
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_116])]) ).
fof(f2314,plain,
( e12 != op1(e10,e13)
| ~ spl18_116 ),
inference(forward_demodulation,[],[f100,f884]) ).
fof(f884,plain,
( e12 = op1(e12,e13)
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f882]) ).
fof(f100,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2313,plain,
( ~ spl18_121
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2312,f969,f904]) ).
fof(f904,plain,
( spl18_121
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_121])]) ).
fof(f2312,plain,
( e22 != op2(e23,e21)
| ~ spl18_135 ),
inference(forward_demodulation,[],[f361,f971]) ).
fof(f361,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2308,plain,
( ~ spl18_144
| ~ spl18_98 ),
inference(avatar_split_clause,[],[f2307,f802,f1010]) ).
fof(f1010,plain,
( spl18_144
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_144])]) ).
fof(f2307,plain,
( e10 != op1(e10,e11)
| ~ spl18_98 ),
inference(forward_demodulation,[],[f80,f804]) ).
fof(f80,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2303,plain,
( spl18_124
| ~ spl18_154
| ~ spl18_282 ),
inference(avatar_split_clause,[],[f2302,f1725,f1057,f917]) ).
fof(f1057,plain,
( spl18_154
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_154])]) ).
fof(f2302,plain,
( e23 = op2(e23,e23)
| ~ spl18_154
| ~ spl18_282 ),
inference(forward_demodulation,[],[f1727,f1059]) ).
fof(f1059,plain,
( e23 = op2(e20,e23)
| ~ spl18_154 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f2300,plain,
( ~ spl18_104
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2299,f832,f828]) ).
fof(f828,plain,
( spl18_104
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_104])]) ).
fof(f2299,plain,
( e10 != op1(e11,e12)
| ~ spl18_105 ),
inference(forward_demodulation,[],[f98,f834]) ).
fof(f98,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2294,plain,
( ~ spl18_132
| ~ spl18_126 ),
inference(avatar_split_clause,[],[f2293,f927,f956]) ).
fof(f956,plain,
( spl18_132
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_132])]) ).
fof(f2293,plain,
( e11 != op1(e13,e10)
| ~ spl18_126 ),
inference(forward_demodulation,[],[f67,f929]) ).
fof(f67,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2286,plain,
( ~ spl18_111
| ~ spl18_182 ),
inference(avatar_contradiction_clause,[],[f2285]) ).
fof(f2285,plain,
( $false
| ~ spl18_111
| ~ spl18_182 ),
inference(subsumption_resolution,[],[f2284,f132]) ).
fof(f132,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2284,plain,
( e21 = e23
| ~ spl18_111
| ~ spl18_182 ),
inference(forward_demodulation,[],[f1191,f863]) ).
fof(f863,plain,
( e21 = op2(e21,e20)
| ~ spl18_111 ),
inference(avatar_component_clause,[],[f861]) ).
fof(f2273,plain,
( ~ spl18_114
| ~ spl18_126 ),
inference(avatar_contradiction_clause,[],[f2272]) ).
fof(f2272,plain,
( $false
| ~ spl18_114
| ~ spl18_126 ),
inference(subsumption_resolution,[],[f2271,f256]) ).
fof(f256,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2271,plain,
( e11 = e12
| ~ spl18_114
| ~ spl18_126 ),
inference(forward_demodulation,[],[f876,f929]) ).
fof(f876,plain,
( e12 = op1(e12,e10)
| ~ spl18_114 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl18_114
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_114])]) ).
fof(f2270,plain,
( ~ spl18_189
| ~ spl18_112 ),
inference(avatar_split_clause,[],[f2267,f865,f1227]) ).
fof(f1227,plain,
( spl18_189
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_189])]) ).
fof(f2267,plain,
( e21 != op2(e22,e23)
| ~ spl18_112 ),
inference(backward_demodulation,[],[f382,f867]) ).
fof(f382,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2263,plain,
( ~ spl18_142
| ~ spl18_143 ),
inference(avatar_split_clause,[],[f2258,f1005,f1001]) ).
fof(f1005,plain,
( spl18_143
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_143])]) ).
fof(f2258,plain,
( e23 != op2(e22,e23)
| ~ spl18_143 ),
inference(backward_demodulation,[],[f378,f1007]) ).
fof(f1007,plain,
( e23 = op2(e22,e21)
| ~ spl18_143 ),
inference(avatar_component_clause,[],[f1005]) ).
fof(f2253,plain,
( spl18_98
| ~ spl18_97
| ~ spl18_290 ),
inference(avatar_split_clause,[],[f2252,f1790,f798,f802]) ).
fof(f2252,plain,
( e10 = op1(e10,e10)
| ~ spl18_97
| ~ spl18_290 ),
inference(forward_demodulation,[],[f1792,f800]) ).
fof(f2230,plain,
( ~ spl18_95
| ~ spl18_105 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl18_95
| ~ spl18_105 ),
inference(subsumption_resolution,[],[f2228,f258]) ).
fof(f2228,plain,
( e10 = e13
| ~ spl18_95
| ~ spl18_105 ),
inference(forward_demodulation,[],[f2226,f792]) ).
fof(f792,plain,
( e10 = op1(e11,e10)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f790,plain,
( spl18_95
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).
fof(f2227,plain,
( ~ spl18_228
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f2224,f832,f1413]) ).
fof(f1413,plain,
( spl18_228
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_228])]) ).
fof(f2224,plain,
( e10 != op1(e12,e13)
| ~ spl18_105 ),
inference(backward_demodulation,[],[f69,f834]) ).
fof(f69,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2208,plain,
( ~ spl18_76
| ~ spl18_135 ),
inference(avatar_contradiction_clause,[],[f2207]) ).
fof(f2207,plain,
( $false
| ~ spl18_76
| ~ spl18_135 ),
inference(subsumption_resolution,[],[f2206,f133]) ).
fof(f2206,plain,
( e20 = e22
| ~ spl18_76
| ~ spl18_135 ),
inference(backward_demodulation,[],[f710,f971]) ).
fof(f2201,plain,
( ~ spl18_310
| ~ spl18_160 ),
inference(avatar_split_clause,[],[f2192,f1083,f1918]) ).
fof(f2192,plain,
( e20 != h4(e10)
| ~ spl18_160 ),
inference(backward_demodulation,[],[f1977,f1085]) ).
fof(f1977,plain,
op2(e21,e23) != h4(e10),
inference(backward_demodulation,[],[f379,f125]) ).
fof(f379,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2142,plain,
( ~ spl18_146
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f2140,f497,f1018]) ).
fof(f1018,plain,
( spl18_146
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_146])]) ).
fof(f2140,plain,
( e11 != op1(e10,e11)
| ~ spl18_25 ),
inference(backward_demodulation,[],[f70,f499]) ).
fof(f70,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2114,plain,
( spl18_137
| ~ spl18_23 ),
inference(avatar_split_clause,[],[f2113,f488,f978]) ).
fof(f2113,plain,
( e20 = h1(e10)
| ~ spl18_23 ),
inference(backward_demodulation,[],[f129,f490]) ).
fof(f2098,plain,
( spl18_23
| ~ spl18_76
| ~ spl18_234 ),
inference(avatar_split_clause,[],[f2095,f1449,f708,f488]) ).
fof(f2095,plain,
( e20 = op2(e20,e20)
| ~ spl18_76
| ~ spl18_234 ),
inference(backward_demodulation,[],[f1451,f710]) ).
fof(f2015,plain,
( spl18_134
| spl18_208
| spl18_259
| spl18_114 ),
inference(avatar_split_clause,[],[f246,f874,f1584,f1314,f964]) ).
fof(f246,plain,
( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12) )
& ( e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e12,e13) )
& ( e10 = op1(e11,e10)
| e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| e10 = op1(e12,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e11,e13) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e13)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12) )
& ( e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12
| e12 = op1(e13,e10) )
& ( e13 = op1(e10,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e13,e12) )
& ( e12 = op1(e13,e13)
| e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13) )
& ( e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11) )
& ( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) )
& ( e12 = op1(e13,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e12,e11) )
& ( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e13,e10)
| e13 = op1(e12,e10) )
& ( e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13)
| e11 = op1(e13,e10) )
& ( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e13 = op1(e13,e12)
| e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e11) )
& ( e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| e10 = op1(e11,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e13) )
& ( e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e10)
| e10 = op1(e13,e11) )
& ( e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e13) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e13)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11) )
& ( e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e12,e10)
| e11 = op1(e13,e10) )
& ( e10 = op1(e11,e12)
| e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12) )
& ( e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e11,e10)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2013,plain,
~ spl18_159,
inference(avatar_split_clause,[],[f2012,f1078]) ).
fof(f1078,plain,
( spl18_159
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).
fof(f2012,plain,
~ sP16,
inference(subsumption_resolution,[],[f2011,f256]) ).
fof(f2011,plain,
( ~ sP16
| e11 = e12 ),
inference(forward_demodulation,[],[f325,f297]) ).
fof(f325,plain,
( e12 = op1(e12,op1(e12,e12))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e12 = op1(e12,op1(e12,e12))
& e10 = op1(e10,op1(e12,e10))
& e13 = op1(e13,op1(e12,e13))
& e11 = op1(e11,op1(e12,e11)) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e12 = op1(e12,op1(e12,e12))
& e10 = op1(e10,op1(e12,e10))
& e13 = op1(e13,op1(e12,e13))
& e11 = op1(e11,op1(e12,e11)) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f2010,plain,
( spl18_143
| spl18_119
| spl18_212
| spl18_157 ),
inference(avatar_split_clause,[],[f2009,f1069,f1333,f896,f1005]) ).
fof(f2009,plain,
( e23 = op2(e20,e21)
| e23 = h2(e10)
| e23 = op2(e23,e21)
| e23 = op2(e22,e21) ),
inference(forward_demodulation,[],[f275,f157]) ).
fof(f275,plain,
( e23 = op2(e23,e21)
| e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( op2(e20,e20) = e23
| e23 = op2(e23,e20)
| e23 = op2(e21,e20)
| e23 = op2(e22,e20) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) )
& ( e22 = op2(e21,e21)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21) )
& ( e20 = op2(e22,e21)
| e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e22) )
& ( op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23) )
& ( e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e23,e21) )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22) )
& ( e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20)
| e23 = op2(e21,e21) )
& ( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22) )
& ( e21 = op2(e20,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) )
& ( e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) )
& ( e21 = op2(e21,e20)
| e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e22 = op2(e23,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23)
| e22 = op2(e22,e23) )
& ( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e21,e23)
| e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) )
& ( e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) )
& ( e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21) )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| op2(e20,e20) = e21
| e21 = op2(e23,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1986,plain,
( spl18_317
| spl18_159
| spl18_164
| spl18_165 ),
inference(avatar_split_clause,[],[f332,f1104,f1100,f1078,f1983]) ).
fof(f1100,plain,
( spl18_164
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_164])]) ).
fof(f1104,plain,
( spl18_165
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_165])]) ).
fof(f332,plain,
( sP17
| sP15
| sP16
| e10 = op1(e10,op1(e11,e10)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e13 = op1(e13,op1(e11,e13))
& e10 = op1(e10,op1(e11,e10))
& e11 = op1(e11,op1(e11,e11))
& e12 = op1(e12,op1(e11,e12)) )
| sP17
| sP16
| sP15 ),
inference(definition_folding,[],[f10,f40,f39,f38]) ).
fof(f38,plain,
( ( e12 = op1(e12,op1(e13,e12))
& e13 = op1(e13,op1(e13,e13))
& e11 = op1(e11,op1(e13,e11))
& e10 = op1(e10,op1(e13,e10)) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f40,plain,
( ( e11 = op1(e11,op1(e10,e11))
& e12 = op1(e12,op1(e10,e12))
& e10 = op1(e10,op1(e10,e10))
& e13 = op1(e13,op1(e10,e13)) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f10,axiom,
( ( e13 = op1(e13,op1(e11,e13))
& e10 = op1(e10,op1(e11,e10))
& e11 = op1(e11,op1(e11,e11))
& e12 = op1(e12,op1(e11,e12)) )
| ( e11 = op1(e11,op1(e10,e11))
& e12 = op1(e12,op1(e10,e12))
& e10 = op1(e10,op1(e10,e10))
& e13 = op1(e13,op1(e10,e13)) )
| ( e12 = op1(e12,op1(e12,e12))
& e10 = op1(e10,op1(e12,e10))
& e13 = op1(e13,op1(e12,e13))
& e11 = op1(e11,op1(e12,e11)) )
| ( e12 = op1(e12,op1(e13,e12))
& e13 = op1(e13,op1(e13,e13))
& e11 = op1(e11,op1(e13,e11))
& e10 = op1(e10,op1(e13,e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f1973,plain,
( spl18_316
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f112,f690,f1970]) ).
fof(f690,plain,
( spl18_72
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_72])]) ).
fof(f112,plain,
( ~ sP1
| e23 = op2(e23,op2(e21,e23)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e20 = op2(e20,op2(e21,e20))
& e22 = op2(e22,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e23 = op2(e23,op2(e21,e23)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e20 = op2(e20,op2(e21,e20))
& e22 = op2(e22,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e23 = op2(e23,op2(e21,e23)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1950,plain,
( spl18_287
| spl18_231
| spl18_120
| spl18_76 ),
inference(avatar_split_clause,[],[f273,f708,f900,f1434,f1759]) ).
fof(f273,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1936,plain,
( spl18_271
| spl18_221
| spl18_121
| spl18_274 ),
inference(avatar_split_clause,[],[f1935,f1672,f904,f1376,f1657]) ).
fof(f1935,plain,
( e22 = h2(e10)
| e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f282,f157]) ).
fof(f282,plain,
( e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1893,plain,
( spl18_305
| ~ spl18_165 ),
inference(avatar_split_clause,[],[f318,f1104,f1890]) ).
fof(f318,plain,
( ~ sP17
| e13 = op1(e13,op1(e10,e13)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e11 = op1(e11,op1(e10,e11))
& e12 = op1(e12,op1(e10,e12))
& e10 = op1(e10,op1(e10,e10))
& e13 = op1(e13,op1(e10,e13)) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f1885,plain,
( spl18_162
| spl18_219
| spl18_175
| spl18_254 ),
inference(avatar_split_clause,[],[f139,f1559,f1150,f1366,f1091]) ).
fof(f139,plain,
( e23 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e20 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e23 = op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e22 = op2(e20,e23) )
& ( e23 = op2(e22,e20)
| e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e23 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23)
| e23 = op2(e23,e23) )
& ( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e23
| e20 = op2(e20,e20) )
& ( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e20 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1884,plain,
( spl18_150
| spl18_22
| spl18_156
| spl18_139 ),
inference(avatar_split_clause,[],[f143,f988,f1065,f484,f1038]) ).
fof(f143,plain,
( e21 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1878,plain,
( spl18_27
| spl18_115
| spl18_249
| spl18_188 ),
inference(avatar_split_clause,[],[f223,f1222,f1525,f878,f505]) ).
fof(f223,plain,
( e12 = op1(e13,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1861,plain,
( spl18_281
| spl18_25
| spl18_187
| spl18_301 ),
inference(avatar_split_clause,[],[f253,f1858,f1218,f497,f1719]) ).
fof(f253,plain,
( e11 = op1(e12,e12)
| e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1856,plain,
( spl18_300
| ~ spl18_165 ),
inference(avatar_split_clause,[],[f319,f1104,f1853]) ).
fof(f319,plain,
( ~ sP17
| e10 = op1(e10,op1(e10,e10)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f1803,plain,
( ~ spl18_74
| spl18_291 ),
inference(avatar_split_clause,[],[f1798,f1800,f699]) ).
fof(f699,plain,
( spl18_74
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).
fof(f1798,plain,
( e20 = h1(e11)
| ~ sP2 ),
inference(forward_demodulation,[],[f1797,f1406]) ).
fof(f1797,plain,
( e20 = op2(e20,h1(e10))
| ~ sP2 ),
inference(forward_demodulation,[],[f110,f129]) ).
fof(f110,plain,
( e20 = op2(e20,op2(e20,e20))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e21 = op2(e21,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20))
& e22 = op2(e22,op2(e20,e22))
& e23 = op2(e23,op2(e20,e23)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e21 = op2(e21,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20))
& e22 = op2(e22,op2(e20,e22))
& e23 = op2(e23,op2(e20,e23)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1796,plain,
( spl18_160
| spl18_217
| spl18_256
| spl18_174 ),
inference(avatar_split_clause,[],[f149,f1146,f1567,f1357,f1083]) ).
fof(f149,plain,
( e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1793,plain,
( spl18_290
| ~ spl18_164 ),
inference(avatar_split_clause,[],[f326,f1100,f1790]) ).
fof(f326,plain,
( ~ sP15
| e10 = op1(e10,op1(e13,e10)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e12 = op1(e12,op1(e13,e12))
& e13 = op1(e13,op1(e13,e13))
& e11 = op1(e11,op1(e13,e11))
& e10 = op1(e10,op1(e13,e10)) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f1782,plain,
( spl18_189
| spl18_253
| spl18_215
| spl18_142 ),
inference(avatar_split_clause,[],[f150,f1001,f1349,f1554,f1227]) ).
fof(f150,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e20 = op2(e22,e23)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1737,plain,
( spl18_86
| spl18_101
| spl18_27
| spl18_259 ),
inference(avatar_split_clause,[],[f239,f1584,f505,f815,f751]) ).
fof(f239,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1728,plain,
( ~ spl18_74
| spl18_282 ),
inference(avatar_split_clause,[],[f108,f1725,f699]) ).
fof(f108,plain,
( e23 = op2(e23,op2(e20,e23))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f1723,plain,
( spl18_87
| spl18_235
| spl18_228
| spl18_82 ),
inference(avatar_split_clause,[],[f248,f734,f1413,f1454,f755]) ).
fof(f248,plain,
( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1716,plain,
( spl18_235
| spl18_167
| spl18_104
| spl18_95 ),
inference(avatar_split_clause,[],[f252,f790,f828,f1114,f1454]) ).
fof(f252,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1708,plain,
( spl18_273
| spl18_132
| spl18_81
| spl18_187 ),
inference(avatar_split_clause,[],[f238,f1218,f730,f956,f1667]) ).
fof(f238,plain,
( e11 = op1(e13,e12)
| e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1707,plain,
( spl18_218
| spl18_150
| spl18_271
| spl18_183 ),
inference(avatar_split_clause,[],[f1706,f1194,f1657,f1038,f1361]) ).
fof(f1706,plain,
( e22 = h1(e10)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f280,f129]) ).
fof(f280,plain,
( e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1700,plain,
( spl18_171
| spl18_116
| spl18_278
| spl18_228 ),
inference(avatar_split_clause,[],[f313,f1413,f1697,f882,f1132]) ).
fof(f313,plain,
( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e12 = op1(e12,e12) )
& ( e11 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e10 = op1(e13,e11)
| e11 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e12 = op1(e10,e12)
| e10 = op1(e10,e12)
| e13 = op1(e10,e12)
| e11 = op1(e10,e12) )
& ( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11) )
& ( e12 = op1(e13,e13)
| e10 = op1(e13,e13)
| e13 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1694,plain,
( ~ spl18_165
| spl18_277 ),
inference(avatar_split_clause,[],[f321,f1691,f1104]) ).
fof(f321,plain,
( e11 = op1(e11,op1(e10,e11))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f1689,plain,
( spl18_276
| ~ spl18_74 ),
inference(avatar_split_clause,[],[f111,f699,f1686]) ).
fof(f111,plain,
( ~ sP2
| e21 = op2(e21,op2(e20,e21)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f1683,plain,
~ spl18_58,
inference(avatar_split_clause,[],[f1682,f631]) ).
fof(f631,plain,
( spl18_58
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
fof(f1682,plain,
~ sP9,
inference(subsumption_resolution,[],[f180,f1385]) ).
fof(f180,plain,
( ~ sP9
| e21 != h3(e11) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13) )
| ~ sP9 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f1595,plain,
( spl18_256
| spl18_124
| spl18_142
| spl18_154 ),
inference(avatar_split_clause,[],[f264,f1057,f1001,f917,f1567]) ).
fof(f264,plain,
( e23 = op2(e20,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1589,plain,
~ spl18_53,
inference(avatar_split_clause,[],[f1588,f611]) ).
fof(f611,plain,
( spl18_53
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).
fof(f1588,plain,
~ sP11,
inference(subsumption_resolution,[],[f172,f1578]) ).
fof(f172,plain,
( ~ sP11
| e23 != h3(e13) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12) )
| ~ sP11 ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f1575,plain,
( ~ spl18_165
| spl18_257 ),
inference(avatar_split_clause,[],[f320,f1572,f1104]) ).
fof(f320,plain,
( e12 = op1(e12,op1(e10,e12))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f1557,plain,
( spl18_253
| spl18_160
| spl18_24
| spl18_231 ),
inference(avatar_split_clause,[],[f287,f1434,f492,f1083,f1554]) ).
fof(f287,plain,
( e20 = op2(e23,e23)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1552,plain,
spl18_105,
inference(avatar_split_clause,[],[f295,f832]) ).
fof(f295,plain,
e10 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f1512,plain,
( ~ spl18_67
| spl18_53
| ~ spl18_239
| ~ spl18_60
| ~ spl18_61
| ~ spl18_240
| ~ spl18_241
| spl18_58
| ~ spl18_56
| ~ spl18_54
| ~ spl18_63
| spl18_57
| ~ spl18_242
| ~ spl18_51
| ~ spl18_243
| ~ spl18_62
| ~ spl18_59
| ~ spl18_244
| ~ spl18_245
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f1479,f1509,f1505,f1501,f635,f647,f1497,f603,f1493,f627,f651,f615,f623,f631,f1489,f1485,f643,f639,f1481,f611,f667]) ).
fof(f627,plain,
( spl18_57
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
fof(f1479,plain,
( e20 != h3(e10)
| h3(op1(e11,e13)) != op2(e21,h3(e13))
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(e13) != h3(op1(e11,e10))
| sP10
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| sP9
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),e21)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),e21)
| sP11
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[],[f1478,f1385]) ).
fof(f1478,plain,
( sP10
| e20 != h3(e10)
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),e21)
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP9
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| sP11
| h3(e13) != h3(op1(e11,e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e13)) != op2(e21,h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(forward_demodulation,[],[f1477,f1385]) ).
fof(f1477,plain,
( sP11
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),e21)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| e20 != h3(e10)
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP10
| sP9
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(e13) != h3(op1(e11,e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[],[f1476,f1431]) ).
fof(f1476,plain,
( e20 != h3(e10)
| h3(op1(e11,e10)) != op2(e21,h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP9
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP11
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| h3(op1(e12,e11)) != op2(h3(e12),e21)
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP10
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13)) ),
inference(forward_demodulation,[],[f1475,f1385]) ).
fof(f1475,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP9
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| sP10
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| sP11
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| e20 != h3(e10)
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(forward_demodulation,[],[f1474,f1385]) ).
fof(f1474,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| sP11
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP9
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| e20 != h3(e10)
| sP10
| h3(op1(e11,e12)) != op2(e21,h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(forward_demodulation,[],[f1473,f1385]) ).
fof(f1473,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP11
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| e20 != h3(e10)
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP9
| sP10
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| op2(e21,e21) != h3(op1(e11,e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10)) ),
inference(forward_demodulation,[],[f1472,f1385]) ).
fof(f1472,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP11
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| e20 != h3(e10)
| sP9
| sP10
| h3(op1(e10,e11)) != op2(h3(e10),e21)
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11)) ),
inference(forward_demodulation,[],[f216,f1385]) ).
fof(f216,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| e20 != h3(e10)
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP10
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP9
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP11
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP14
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP13
| sP12
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13) )
| sP11
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| 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(e13,e10)) != op2(h3(e13),h3(e10))
| sP10
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP9
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| sP8
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP7
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP6
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) )
& ( ( e23 != h2(e13)
& e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e12) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP5
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| sP4
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| sP3
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ) ),
inference(definition_folding,[],[f20,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25]) ).
fof(f25,plain,
( ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f26,plain,
( ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f30,plain,
( ( e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10)
& e20 != h1(e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e21 != h1(e11)
& e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e10) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12)
& e22 != h1(e11) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f20,plain,
( ( ( e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10)
& e23 != h1(e11) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| ( e22 != h1(e13)
& e22 != h1(e10)
& e22 != h1(e12)
& e22 != h1(e11) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e21 != h1(e11)
& e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e10) )
| ( e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10)
& e20 != h1(e13) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12)) )
& ( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e23 != h3(e11)
& e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e12) )
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| 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(e13,e10)) != op2(h3(e13),h3(e10))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10)
& e21 != h3(e13) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| ( e21 != h4(e11)
& e21 != h4(e13)
& e21 != h4(e10)
& e21 != h4(e12) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e22 != h4(e13)
& e22 != h4(e10)
& e22 != h4(e12)
& e22 != h4(e11) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12)) )
& ( ( e23 != h2(e13)
& e23 != h2(e11)
& e23 != h2(e10)
& e23 != h2(e12) )
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10) )
& ( e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e13) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e13) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) )
| ( h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11)
| e22 = h1(e12) )
& ( e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e12)
| e20 = h1(e10) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11) )
& ( e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e13) ) )
| ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e13) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e23 = h3(e11)
| e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e12) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& ( e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e10) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e13)
| e21 = h2(e10) )
& ( e23 = h2(e11)
| e23 = h2(e12)
| e23 = h2(e10)
| e23 = h2(e13) )
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e13) )
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) )
| ( h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e23 = h1(e10)
| e23 = h1(e11)
| e23 = h1(e12)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e11)
| e21 = h1(e13) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11)
| e22 = h1(e12) )
& ( e20 = h1(e13)
| e20 = h1(e11)
| e20 = h1(e12)
| e20 = h1(e10) )
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e20 = h4(e12)
| e20 = h4(e13)
| e20 = h4(e10)
| e20 = h4(e11) )
& ( e23 = h4(e12)
| e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e11) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10)
| e22 = h4(e12) )
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& ( e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e13) ) )
| ( h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e13) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e23 = h3(e11)
| e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& ( e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e12) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1470,plain,
( spl18_159
| spl18_164
| spl18_165
| spl18_238 ),
inference(avatar_split_clause,[],[f331,f1467,f1104,f1100,f1078]) ).
fof(f331,plain,
( e11 = op1(e11,op1(e11,e11))
| sP17
| sP15
| sP16 ),
inference(cnf_transformation,[],[f41]) ).
fof(f1452,plain,
( spl18_234
| ~ spl18_75 ),
inference(avatar_split_clause,[],[f119,f703,f1449]) ).
fof(f703,plain,
( spl18_75
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).
fof(f119,plain,
( ~ sP0
| e20 = op2(e20,op2(e23,e20)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e20 = op2(e20,op2(e23,e20))
& e23 = op2(e23,op2(e23,e23))
& e21 = op2(e21,op2(e23,e21))
& e22 = op2(e22,op2(e23,e22)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e20 = op2(e20,op2(e23,e20))
& e23 = op2(e23,op2(e23,e23))
& e21 = op2(e21,op2(e23,e21))
& e22 = op2(e22,op2(e23,e22)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1432,plain,
~ spl18_200,
inference(avatar_split_clause,[],[f136,f1281]) ).
fof(f136,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1419,plain,
( spl18_183
| spl18_135
| spl18_220
| spl18_177 ),
inference(avatar_split_clause,[],[f1418,f1162,f1370,f969,f1194]) ).
fof(f1418,plain,
( e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = h1(e10) ),
inference(forward_demodulation,[],[f274,f129]) ).
fof(f274,plain,
( e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1417,plain,
spl18_173,
inference(avatar_split_clause,[],[f315,f1141]) ).
fof(f315,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1383,plain,
( spl18_177
| spl18_221
| spl18_215
| spl18_222 ),
inference(avatar_split_clause,[],[f1374,f1380,f1349,f1376,f1162]) ).
fof(f1374,plain,
( e22 = h3(e10)
| e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f285,f317]) ).
fof(f285,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1225,plain,
( spl18_103
| spl18_187
| spl18_94
| spl18_188 ),
inference(avatar_split_clause,[],[f306,f1222,f785,f1218,f824]) ).
fof(f306,plain,
( e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1207,plain,
( ~ spl18_74
| spl18_185 ),
inference(avatar_split_clause,[],[f109,f1204,f699]) ).
fof(f109,plain,
( e22 = op2(e22,op2(e20,e22))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f1166,plain,
spl18_88,
inference(avatar_split_clause,[],[f294,f760]) ).
fof(f294,plain,
e20 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f1158,plain,
( spl18_164
| spl18_176
| spl18_159
| spl18_165 ),
inference(avatar_split_clause,[],[f333,f1104,f1078,f1155,f1100]) ).
fof(f333,plain,
( sP17
| sP16
| e13 = op1(e13,op1(e11,e13))
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f1144,plain,
( ~ spl18_57
| ~ spl18_173 ),
inference(avatar_split_clause,[],[f177,f1141,f627]) ).
fof(f177,plain,
( e22 != h3(e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11) )
| ~ sP10 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1094,plain,
( spl18_78
| spl18_160
| spl18_161
| spl18_162 ),
inference(avatar_split_clause,[],[f284,f1091,f1087,f1083,f716]) ).
fof(f284,plain,
( e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1072,plain,
( spl18_154
| spl18_155
| spl18_156
| spl18_157 ),
inference(avatar_split_clause,[],[f1055,f1069,f1065,f1061,f1057]) ).
fof(f1055,plain,
( e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = h1(e10)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f271,f129]) ).
fof(f271,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1049,plain,
( spl18_90
| spl18_150
| spl18_151
| spl18_152 ),
inference(avatar_split_clause,[],[f263,f1046,f1042,f1038,f768]) ).
fof(f263,plain,
( e22 = op2(e21,e22)
| e22 = op2(e23,e22)
| e22 = op2(e20,e22)
| e22 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1036,plain,
( spl18_75
| spl18_149
| spl18_74
| spl18_72 ),
inference(avatar_split_clause,[],[f123,f690,f699,f1033,f703]) ).
fof(f123,plain,
( sP1
| sP2
| e22 = op2(e22,op2(e22,e22))
| sP0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e22 = op2(e22,op2(e22,e22))
& e21 = op2(e21,op2(e22,e21))
& e20 = op2(e20,op2(e22,e20))
& e23 = op2(e23,op2(e22,e23)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f11,f23,f22,f21]) ).
fof(f11,axiom,
( ( e22 = op2(e22,op2(e22,e22))
& e21 = op2(e21,op2(e22,e21))
& e20 = op2(e20,op2(e22,e20))
& e23 = op2(e23,op2(e22,e23)) )
| ( e21 = op2(e21,op2(e20,e21))
& e20 = op2(e20,op2(e20,e20))
& e22 = op2(e22,op2(e20,e22))
& e23 = op2(e23,op2(e20,e23)) )
| ( e20 = op2(e20,op2(e21,e20))
& e22 = op2(e22,op2(e21,e22))
& e21 = op2(e21,op2(e21,e21))
& e23 = op2(e23,op2(e21,e23)) )
| ( e20 = op2(e20,op2(e23,e20))
& e23 = op2(e23,op2(e23,e23))
& e21 = op2(e21,op2(e23,e21))
& e22 = op2(e22,op2(e23,e22)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1021,plain,
( spl18_101
| spl18_144
| spl18_145
| spl18_146 ),
inference(avatar_split_clause,[],[f304,f1018,f1014,f1010,f815]) ).
fof(f304,plain,
( e11 = op1(e10,e11)
| e13 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f972,plain,
( spl18_76
| spl18_122
| spl18_135
| spl18_109 ),
inference(avatar_split_clause,[],[f151,f850,f969,f909,f708]) ).
fof(f151,plain,
( e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f967,plain,
( spl18_132
| spl18_133
| spl18_134
| spl18_97 ),
inference(avatar_split_clause,[],[f311,f798,f964,f960,f956]) ).
fof(f311,plain,
( e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f907,plain,
( spl18_108
| spl18_119
| spl18_120
| spl18_121 ),
inference(avatar_split_clause,[],[f144,f904,f900,f896,f846]) ).
fof(f144,plain,
( e22 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f885,plain,
( spl18_100
| spl18_114
| spl18_115
| spl18_116 ),
inference(avatar_split_clause,[],[f229,f882,f878,f874,f811]) ).
fof(f229,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f805,plain,
( spl18_95
| spl18_96
| spl18_97
| spl18_98 ),
inference(avatar_split_clause,[],[f249,f802,f798,f794,f790]) ).
fof(f249,plain,
( e10 = op1(e10,e10)
| e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f719,plain,
( spl18_23
| spl18_76
| spl18_77
| spl18_78 ),
inference(avatar_split_clause,[],[f269,f716,f712,f708,f488]) ).
fof(f269,plain,
( e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f693,plain,
( spl18_71
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f113,f690,f686]) ).
fof(f113,plain,
( ~ sP1
| e21 = op2(e21,op2(e21,e21)) ),
inference(cnf_transformation,[],[f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 14:54:40 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 % (22752)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (22765)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.54 % (22744)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (22756)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (22747)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (22763)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.57 % (22755)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.57/0.59 % (22749)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.57/0.59 % (22761)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.57/0.59 % (22766)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.84/0.59 % (22758)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.84/0.59 % (22745)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.84/0.60 % (22753)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.84/0.60 % (22754)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.61 % (22768)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.84/0.61 % (22748)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.84/0.61 % (22757)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.84/0.61 % (22750)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.84/0.61 % (22751)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.84/0.61 % (22760)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.84/0.61 % (22751)Instruction limit reached!
% 1.84/0.61 % (22751)------------------------------
% 1.84/0.61 % (22751)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.61 % (22751)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.61 % (22751)Termination reason: Unknown
% 1.84/0.61 % (22751)Termination phase: Preprocessing 1
% 1.84/0.61
% 1.84/0.61 % (22751)Memory used [KB]: 1023
% 1.84/0.61 % (22751)Time elapsed: 0.002 s
% 1.84/0.61 % (22751)Instructions burned: 2 (million)
% 1.84/0.61 % (22751)------------------------------
% 1.84/0.61 % (22751)------------------------------
% 1.84/0.62 % (22770)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.84/0.62 % (22746)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.84/0.62 % (22750)Instruction limit reached!
% 1.84/0.62 % (22750)------------------------------
% 1.84/0.62 % (22750)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.62 % (22750)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.62 % (22750)Termination reason: Unknown
% 1.84/0.62 % (22750)Termination phase: Property scanning
% 1.84/0.62
% 1.84/0.62 % (22750)Memory used [KB]: 1151
% 1.84/0.62 % (22750)Time elapsed: 0.010 s
% 1.84/0.62 % (22750)Instructions burned: 7 (million)
% 1.84/0.62 % (22750)------------------------------
% 1.84/0.62 % (22750)------------------------------
% 1.84/0.62 % (22762)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.84/0.62 % (22771)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.84/0.63 % (22743)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.84/0.63 % (22752)Instruction limit reached!
% 1.84/0.63 % (22752)------------------------------
% 1.84/0.63 % (22752)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.63 % (22752)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.63 % (22752)Termination reason: Unknown
% 1.84/0.63 % (22752)Termination phase: Saturation
% 1.84/0.63
% 1.84/0.63 % (22752)Memory used [KB]: 1407
% 1.84/0.63 % (22752)Time elapsed: 0.037 s
% 1.84/0.63 % (22752)Instructions burned: 52 (million)
% 1.84/0.63 % (22752)------------------------------
% 1.84/0.63 % (22752)------------------------------
% 1.84/0.64 % (22772)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.84/0.64 % (22747)Instruction limit reached!
% 1.84/0.64 % (22747)------------------------------
% 1.84/0.64 % (22747)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.84/0.64 % (22747)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.84/0.64 % (22747)Termination reason: Unknown
% 1.84/0.64 % (22747)Termination phase: Saturation
% 1.84/0.64
% 1.84/0.64 % (22747)Memory used [KB]: 6652
% 1.84/0.64 % (22747)Time elapsed: 0.035 s
% 1.84/0.64 % (22747)Instructions burned: 51 (million)
% 1.84/0.64 % (22747)------------------------------
% 1.84/0.64 % (22747)------------------------------
% 1.84/0.64 % (22769)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.84/0.64 % (22764)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 2.30/0.65 % (22767)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 2.34/0.66 % (22759)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.34/0.66 % (22744)Instruction limit reached!
% 2.34/0.66 % (22744)------------------------------
% 2.34/0.66 % (22744)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.66 % (22744)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.66 % (22744)Termination reason: Unknown
% 2.34/0.66 % (22744)Termination phase: Saturation
% 2.34/0.66
% 2.34/0.66 % (22744)Memory used [KB]: 6780
% 2.34/0.66 % (22744)Time elapsed: 0.037 s
% 2.34/0.66 % (22744)Instructions burned: 51 (million)
% 2.34/0.66 % (22744)------------------------------
% 2.34/0.66 % (22744)------------------------------
% 2.34/0.67 % (22756)Instruction limit reached!
% 2.34/0.67 % (22756)------------------------------
% 2.34/0.67 % (22756)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.67 % (22756)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.67 % (22756)Termination reason: Unknown
% 2.34/0.67 % (22756)Termination phase: Saturation
% 2.34/0.67
% 2.34/0.67 % (22756)Memory used [KB]: 7291
% 2.34/0.67 % (22756)Time elapsed: 0.238 s
% 2.34/0.67 % (22756)Instructions burned: 99 (million)
% 2.34/0.67 % (22756)------------------------------
% 2.34/0.67 % (22756)------------------------------
% 2.34/0.69 % (22745)Instruction limit reached!
% 2.34/0.69 % (22745)------------------------------
% 2.34/0.69 % (22745)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.69 % (22745)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.69 % (22745)Termination reason: Unknown
% 2.34/0.69 % (22745)Termination phase: Saturation
% 2.34/0.69
% 2.34/0.69 % (22745)Memory used [KB]: 1151
% 2.34/0.69 % (22745)Time elapsed: 0.028 s
% 2.34/0.69 % (22745)Instructions burned: 38 (million)
% 2.34/0.69 % (22745)------------------------------
% 2.34/0.69 % (22745)------------------------------
% 2.34/0.70 % (22749)Instruction limit reached!
% 2.34/0.70 % (22749)------------------------------
% 2.34/0.70 % (22749)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.34/0.70 % (22749)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.34/0.70 % (22749)Termination reason: Unknown
% 2.34/0.70 % (22749)Termination phase: Finite model building preprocessing
% 2.34/0.70
% 2.34/0.70 % (22749)Memory used [KB]: 2430
% 2.34/0.70 % (22749)Time elapsed: 0.033 s
% 2.34/0.70 % (22749)Instructions burned: 51 (million)
% 2.34/0.70 % (22749)------------------------------
% 2.34/0.70 % (22749)------------------------------
% 2.68/0.70 % (22753)Instruction limit reached!
% 2.68/0.70 % (22753)------------------------------
% 2.68/0.70 % (22753)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.70 % (22753)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.70 % (22753)Termination reason: Unknown
% 2.68/0.70 % (22753)Termination phase: Saturation
% 2.68/0.70
% 2.68/0.70 % (22753)Memory used [KB]: 6780
% 2.68/0.70 % (22753)Time elapsed: 0.039 s
% 2.68/0.70 % (22753)Instructions burned: 50 (million)
% 2.68/0.70 % (22753)------------------------------
% 2.68/0.70 % (22753)------------------------------
% 2.68/0.73 % (22760)Instruction limit reached!
% 2.68/0.73 % (22760)------------------------------
% 2.68/0.73 % (22760)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.73 % (22760)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.73 % (22760)Termination reason: Unknown
% 2.68/0.73 % (22760)Termination phase: Finite model building preprocessing
% 2.68/0.73
% 2.68/0.73 % (22760)Memory used [KB]: 2558
% 2.68/0.73 % (22760)Time elapsed: 0.038 s
% 2.68/0.73 % (22760)Instructions burned: 59 (million)
% 2.68/0.73 % (22760)------------------------------
% 2.68/0.73 % (22760)------------------------------
% 2.68/0.74 % (22748)Instruction limit reached!
% 2.68/0.74 % (22748)------------------------------
% 2.68/0.74 % (22748)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74 % (22748)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74 % (22748)Termination reason: Unknown
% 2.68/0.74 % (22748)Termination phase: Saturation
% 2.68/0.74
% 2.68/0.74 % (22748)Memory used [KB]: 6652
% 2.68/0.74 % (22748)Time elapsed: 0.306 s
% 2.68/0.74 % (22748)Instructions burned: 48 (million)
% 2.68/0.74 % (22748)------------------------------
% 2.68/0.74 % (22748)------------------------------
% 2.91/0.75 % (22746)Instruction limit reached!
% 2.91/0.75 % (22746)------------------------------
% 2.91/0.75 % (22746)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.75 % (22746)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.75 % (22746)Termination reason: Unknown
% 2.91/0.75 % (22746)Termination phase: Saturation
% 2.91/0.75
% 2.91/0.75 % (22746)Memory used [KB]: 6268
% 2.91/0.75 % (22746)Time elapsed: 0.035 s
% 2.91/0.75 % (22746)Instructions burned: 51 (million)
% 2.91/0.75 % (22746)------------------------------
% 2.91/0.75 % (22746)------------------------------
% 2.91/0.76 % (22758)Instruction limit reached!
% 2.91/0.76 % (22758)------------------------------
% 2.91/0.76 % (22758)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.76 % (22758)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.76 % (22758)Termination reason: Unknown
% 2.91/0.76 % (22758)Termination phase: Saturation
% 2.91/0.76
% 2.91/0.76 % (22758)Memory used [KB]: 1663
% 2.91/0.76 % (22758)Time elapsed: 0.067 s
% 2.91/0.76 % (22758)Instructions burned: 75 (million)
% 2.91/0.76 % (22758)------------------------------
% 2.91/0.76 % (22758)------------------------------
% 2.91/0.76 % (22755)Instruction limit reached!
% 2.91/0.76 % (22755)------------------------------
% 2.91/0.76 % (22755)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.76 % (22755)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.76 % (22755)Termination reason: Unknown
% 2.91/0.76 % (22755)Termination phase: Saturation
% 2.91/0.76
% 2.91/0.76 % (22755)Memory used [KB]: 7419
% 2.91/0.76 % (22755)Time elapsed: 0.319 s
% 2.91/0.76 % (22755)Instructions burned: 102 (million)
% 2.91/0.76 % (22755)------------------------------
% 2.91/0.76 % (22755)------------------------------
% 2.91/0.77 % (22761)Instruction limit reached!
% 2.91/0.77 % (22761)------------------------------
% 2.91/0.77 % (22761)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.77 % (22761)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.77 % (22761)Termination reason: Unknown
% 2.91/0.77 % (22761)Termination phase: Saturation
% 2.91/0.77
% 2.91/0.77 % (22761)Memory used [KB]: 7291
% 2.91/0.77 % (22761)Time elapsed: 0.088 s
% 2.91/0.77 % (22761)Instructions burned: 101 (million)
% 2.91/0.77 % (22761)------------------------------
% 2.91/0.77 % (22761)------------------------------
% 2.91/0.77 % (22757)Instruction limit reached!
% 2.91/0.77 % (22757)------------------------------
% 2.91/0.77 % (22757)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.91/0.77 % (22757)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.91/0.77 % (22757)Termination reason: Unknown
% 2.91/0.77 % (22757)Termination phase: Saturation
% 2.91/0.77
% 2.91/0.77 % (22757)Memory used [KB]: 6908
% 2.91/0.77 % (22757)Time elapsed: 0.051 s
% 2.91/0.77 % (22757)Instructions burned: 68 (million)
% 2.91/0.77 % (22757)------------------------------
% 2.91/0.77 % (22757)------------------------------
% 2.91/0.82 % (22808)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 3.39/0.85 % (22762)Instruction limit reached!
% 3.39/0.85 % (22762)------------------------------
% 3.39/0.85 % (22762)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.85 % (22762)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.85 % (22762)Termination reason: Unknown
% 3.39/0.85 % (22762)Termination phase: Saturation
% 3.39/0.85
% 3.39/0.85 % (22762)Memory used [KB]: 1535
% 3.39/0.85 % (22762)Time elapsed: 0.401 s
% 3.39/0.85 % (22762)Instructions burned: 100 (million)
% 3.39/0.85 % (22762)------------------------------
% 3.39/0.85 % (22762)------------------------------
% 3.39/0.86 % (22806)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 3.39/0.86 % (22769)Instruction limit reached!
% 3.39/0.86 % (22769)------------------------------
% 3.39/0.86 % (22769)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.86 % (22769)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.86 % (22769)Termination reason: Unknown
% 3.39/0.86 % (22769)Termination phase: Saturation
% 3.39/0.86
% 3.39/0.86 % (22769)Memory used [KB]: 6908
% 3.39/0.86 % (22769)Time elapsed: 0.054 s
% 3.39/0.86 % (22769)Instructions burned: 68 (million)
% 3.39/0.86 % (22769)------------------------------
% 3.39/0.86 % (22769)------------------------------
% 3.39/0.87 % (22765)Instruction limit reached!
% 3.39/0.87 % (22765)------------------------------
% 3.39/0.87 % (22765)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.87 % (22765)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.87 % (22765)Termination reason: Unknown
% 3.39/0.87 % (22765)Termination phase: Saturation
% 3.39/0.87
% 3.39/0.87 % (22765)Memory used [KB]: 2046
% 3.39/0.87 % (22765)Time elapsed: 0.435 s
% 3.39/0.87 % (22765)Instructions burned: 498 (million)
% 3.39/0.87 % (22765)------------------------------
% 3.39/0.87 % (22765)------------------------------
% 3.39/0.88 % (22763)First to succeed.
% 3.39/0.88 % (22754)Instruction limit reached!
% 3.39/0.88 % (22754)------------------------------
% 3.39/0.88 % (22754)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.39/0.88 % (22754)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.39/0.88 % (22754)Termination reason: Unknown
% 3.39/0.88 % (22754)Termination phase: Saturation
% 3.39/0.88
% 3.39/0.88 % (22754)Memory used [KB]: 7675
% 3.39/0.88 % (22754)Time elapsed: 0.464 s
% 3.39/0.88 % (22754)Instructions burned: 101 (million)
% 3.39/0.88 % (22754)------------------------------
% 3.39/0.88 % (22754)------------------------------
% 3.39/0.89 % (22834)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4959Mi)
% 3.39/0.89 TRYING [8]
% 3.60/0.89 % (22807)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 3.60/0.90 % (22809)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/934Mi)
% 3.60/0.91 % (22805)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 3.60/0.91 % (22810)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/747Mi)
% 3.60/0.93 % (22847)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/1824Mi)
% 3.60/0.93 % (22814)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/655Mi)
% 3.60/0.93 % (22766)Also succeeded, but the first one will report.
% 3.60/0.93 % (22763)Refutation found. Thanks to Tanya!
% 3.60/0.93 % SZS status Theorem for theBenchmark
% 3.60/0.93 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/0.94 % (22763)------------------------------
% 3.60/0.94 % (22763)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.60/0.94 % (22763)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.60/0.94 % (22763)Termination reason: Refutation
% 3.60/0.94
% 3.60/0.94 % (22763)Memory used [KB]: 8187
% 3.60/0.94 % (22763)Time elapsed: 0.113 s
% 3.60/0.94 % (22763)Instructions burned: 123 (million)
% 3.60/0.94 % (22763)------------------------------
% 3.60/0.94 % (22763)------------------------------
% 3.60/0.94 % (22742)Success in time 0.577 s
%------------------------------------------------------------------------------