TSTP Solution File: ALG120+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG120+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 : n024.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 15:42:52 EDT 2022
% Result : Theorem 2.82s 0.78s
% Output : Refutation 2.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 286
% Syntax : Number of formulae : 1502 ( 148 unt; 0 def)
% Number of atoms : 6101 (3410 equ)
% Maximal formula atoms : 176 ( 4 avg)
% Number of connectives : 7693 (3094 ~;3354 |;1018 &)
% ( 227 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 271 ( 269 usr; 270 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5863,plain,
$false,
inference(avatar_sat_refutation,[],[f646,f789,f798,f821,f875,f991,f1013,f1028,f1077,f1082,f1176,f1185,f1317,f1322,f1346,f1440,f1460,f1475,f1492,f1497,f1506,f1515,f1531,f1532,f1549,f1578,f1591,f1592,f1598,f1599,f1613,f1614,f1684,f1689,f1695,f1700,f1718,f1727,f1732,f1746,f1751,f1771,f1790,f1791,f1836,f1841,f1843,f1844,f1849,f1878,f1879,f1899,f1900,f1906,f1907,f1909,f1922,f1943,f1954,f1998,f2009,f2020,f2021,f2029,f2051,f2054,f2060,f2061,f2065,f2071,f2076,f2081,f2082,f2088,f2122,f2123,f2124,f2137,f2143,f2144,f2145,f2146,f2147,f2151,f2159,f2167,f2174,f2184,f2185,f2191,f2198,f2200,f2202,f2204,f2205,f2222,f2225,f2228,f2233,f2237,f2240,f2250,f2251,f2264,f2265,f2272,f2273,f2276,f2296,f2297,f2300,f2315,f2320,f2331,f2332,f2336,f2349,f2355,f2360,f2366,f2380,f2381,f2387,f2413,f2424,f2428,f2431,f2435,f2436,f2441,f2447,f2460,f2476,f2494,f2497,f2515,f2550,f2561,f2564,f2570,f2590,f2612,f2619,f2626,f2646,f2707,f2718,f2726,f2731,f2740,f2750,f2751,f2753,f2755,f2766,f2769,f2776,f2778,f2795,f2815,f2820,f2840,f2843,f2847,f2853,f2855,f2874,f2882,f2886,f2893,f2896,f2906,f2949,f2954,f2959,f2973,f2991,f2997,f3009,f3019,f3023,f3024,f3032,f3034,f3038,f3043,f3060,f3065,f3069,f3082,f3084,f3107,f3116,f3136,f3146,f3149,f3163,f3168,f3193,f3200,f3207,f3225,f3226,f3230,f3240,f3261,f3301,f3325,f3378,f3388,f3412,f3420,f3437,f3441,f3477,f3478,f3490,f3511,f3537,f3550,f3586,f3592,f3596,f3608,f3612,f3625,f3653,f3689,f3699,f3780,f3782,f3785,f3788,f3789,f3790,f3797,f3801,f3819,f3827,f3831,f3848,f3874,f3887,f3888,f3902,f3930,f3931,f3941,f3984,f3986,f3999,f4001,f4009,f4018,f4023,f4042,f4053,f4077,f4086,f4089,f4100,f4107,f4111,f4134,f4146,f4154,f4200,f4210,f4239,f4248,f4266,f4276,f4295,f4314,f4331,f4351,f4365,f4389,f4414,f4446,f4473,f4479,f4500,f4534,f4551,f4582,f4593,f4617,f4642,f4655,f4684,f4700,f4777,f4824,f4864,f4869,f4875,f4883,f4903,f4906,f4989,f5036,f5046,f5053,f5088,f5090,f5139,f5141,f5177,f5182,f5200,f5233,f5296,f5341,f5360,f5371,f5396,f5403,f5425,f5448,f5504,f5643,f5667,f5708,f5726,f5728,f5759,f5774,f5778,f5856]) ).
fof(f5856,plain,
( ~ spl42_42
| spl42_195
| ~ spl42_269 ),
inference(avatar_contradiction_clause,[],[f5855]) ).
fof(f5855,plain,
( $false
| ~ spl42_42
| spl42_195
| ~ spl42_269 ),
inference(subsumption_resolution,[],[f5851,f1504]) ).
fof(f1504,plain,
( e10 != op1(e10,e12)
| spl42_195 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1503,plain,
( spl42_195
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_195])]) ).
fof(f5851,plain,
( e10 = op1(e10,e12)
| ~ spl42_42
| ~ spl42_269 ),
inference(backward_demodulation,[],[f814,f1867]) ).
fof(f1867,plain,
( op1(e10,e10) = e12
| ~ spl42_269 ),
inference(avatar_component_clause,[],[f1865]) ).
fof(f1865,plain,
( spl42_269
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_269])]) ).
fof(f814,plain,
( e10 = op1(e10,op1(e10,e10))
| ~ spl42_42 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl42_42
<=> e10 = op1(e10,op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_42])]) ).
fof(f5778,plain,
( ~ spl42_59
| ~ spl42_60 ),
inference(avatar_contradiction_clause,[],[f5777]) ).
fof(f5777,plain,
( $false
| ~ spl42_59
| ~ spl42_60 ),
inference(subsumption_resolution,[],[f5776,f210]) ).
fof(f210,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e13
& e12 != e13
& e11 != e12
& e10 != e11
& e10 != e13
& e10 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f5776,plain,
( e10 = e11
| ~ spl42_59
| ~ spl42_60 ),
inference(forward_demodulation,[],[f892,f896]) ).
fof(f896,plain,
( e10 = op1(e12,e11)
| ~ spl42_60 ),
inference(avatar_component_clause,[],[f894]) ).
fof(f894,plain,
( spl42_60
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_60])]) ).
fof(f892,plain,
( e11 = op1(e12,e11)
| ~ spl42_59 ),
inference(avatar_component_clause,[],[f890]) ).
fof(f890,plain,
( spl42_59
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_59])]) ).
fof(f5774,plain,
( ~ spl42_120
| ~ spl42_241 ),
inference(avatar_split_clause,[],[f5773,f1724,f1169]) ).
fof(f1169,plain,
( spl42_120
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_120])]) ).
fof(f1724,plain,
( spl42_241
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f5773,plain,
( e10 != op1(e10,e10)
| ~ spl42_241 ),
inference(forward_demodulation,[],[f151,f1726]) ).
fof(f1726,plain,
( e10 = op1(e12,e10)
| ~ spl42_241 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f151,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e11,e11) != op1(e12,e11)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e12) != op1(e12,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e10) != op1(e11,e10)
& op1(e11,e10) != op1(e11,e12)
& op1(e13,e10) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e12,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e13) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f5759,plain,
( ~ spl42_99
| ~ spl42_200 ),
inference(avatar_split_clause,[],[f5758,f1528,f1069]) ).
fof(f1069,plain,
( spl42_99
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_99])]) ).
fof(f1528,plain,
( spl42_200
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_200])]) ).
fof(f5758,plain,
( e12 != op1(e11,e11)
| ~ spl42_200 ),
inference(forward_demodulation,[],[f132,f1530]) ).
fof(f1530,plain,
( e12 = op1(e13,e11)
| ~ spl42_200 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f132,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5728,plain,
( ~ spl42_95
| ~ spl42_80 ),
inference(avatar_split_clause,[],[f5727,f984,f1052]) ).
fof(f1052,plain,
( spl42_95
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f984,plain,
( spl42_80
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_80])]) ).
fof(f5727,plain,
( e13 != op1(e11,e10)
| ~ spl42_80 ),
inference(forward_demodulation,[],[f139,f986]) ).
fof(f986,plain,
( e13 = op1(e13,e10)
| ~ spl42_80 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f139,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5726,plain,
( ~ spl42_62
| ~ spl42_63 ),
inference(avatar_contradiction_clause,[],[f5725]) ).
fof(f5725,plain,
( $false
| ~ spl42_62
| ~ spl42_63 ),
inference(subsumption_resolution,[],[f5722,f209]) ).
fof(f209,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f5722,plain,
( e10 = e13
| ~ spl42_62
| ~ spl42_63 ),
inference(backward_demodulation,[],[f905,f909]) ).
fof(f909,plain,
( e10 = op1(e12,e12)
| ~ spl42_63 ),
inference(avatar_component_clause,[],[f907]) ).
fof(f907,plain,
( spl42_63
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_63])]) ).
fof(f905,plain,
( e13 = op1(e12,e12)
| ~ spl42_62 ),
inference(avatar_component_clause,[],[f903]) ).
fof(f903,plain,
( spl42_62
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_62])]) ).
fof(f5708,plain,
( ~ spl42_119
| ~ spl42_328 ),
inference(avatar_split_clause,[],[f5707,f2345,f1165]) ).
fof(f1165,plain,
( spl42_119
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_119])]) ).
fof(f2345,plain,
( spl42_328
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_328])]) ).
fof(f5707,plain,
( e10 != op1(e11,e11)
| ~ spl42_328 ),
inference(forward_demodulation,[],[f152,f2347]) ).
fof(f2347,plain,
( e10 = op1(e11,e13)
| ~ spl42_328 ),
inference(avatar_component_clause,[],[f2345]) ).
fof(f152,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5667,plain,
( ~ spl42_36
| ~ spl42_200 ),
inference(avatar_split_clause,[],[f5666,f1528,f786]) ).
fof(f786,plain,
( spl42_36
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_36])]) ).
fof(f5666,plain,
( e12 != op1(e12,e11)
| ~ spl42_200 ),
inference(forward_demodulation,[],[f135,f1530]) ).
fof(f135,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5643,plain,
( ~ spl42_93
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f3569,f903,f1044]) ).
fof(f1044,plain,
( spl42_93
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f3569,plain,
( e13 != op1(e12,e10)
| ~ spl42_62 ),
inference(forward_demodulation,[],[f167,f905]) ).
fof(f167,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5504,plain,
( ~ spl42_75
| ~ spl42_267 ),
inference(avatar_contradiction_clause,[],[f5503]) ).
fof(f5503,plain,
( $false
| ~ spl42_75
| ~ spl42_267 ),
inference(subsumption_resolution,[],[f5502,f211]) ).
fof(f211,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f5502,plain,
( e11 = e12
| ~ spl42_75
| ~ spl42_267 ),
inference(forward_demodulation,[],[f1859,f965]) ).
fof(f965,plain,
( e11 = op1(e13,e13)
| ~ spl42_75 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f963,plain,
( spl42_75
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_75])]) ).
fof(f1859,plain,
( e12 = op1(e13,e13)
| ~ spl42_267 ),
inference(avatar_component_clause,[],[f1857]) ).
fof(f1857,plain,
( spl42_267
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_267])]) ).
fof(f5448,plain,
( ~ spl42_276
| ~ spl42_116 ),
inference(avatar_split_clause,[],[f5447,f1150,f1911]) ).
fof(f1911,plain,
( spl42_276
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_276])]) ).
fof(f1150,plain,
( spl42_116
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_116])]) ).
fof(f5447,plain,
( e20 != h1(e13)
| ~ spl42_116 ),
inference(forward_demodulation,[],[f2313,f1152]) ).
fof(f1152,plain,
( e20 = op2(e21,e20)
| ~ spl42_116 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f2313,plain,
op2(e21,e20) != h1(e13),
inference(backward_demodulation,[],[f347,f206]) ).
fof(f206,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& op2(e20,e20) = h1(e13)
& e20 = h1(e12)
& h1(e10) = op2(op2(e20,e20),e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f347,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e22,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e22,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e21) != op2(e22,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f5425,plain,
( ~ spl42_152
| ~ spl42_36 ),
inference(avatar_split_clause,[],[f5424,f786,f1310]) ).
fof(f1310,plain,
( spl42_152
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_152])]) ).
fof(f5424,plain,
( e12 != op1(e10,e11)
| ~ spl42_36 ),
inference(forward_demodulation,[],[f166,f788]) ).
fof(f788,plain,
( e12 = op1(e12,e11)
| ~ spl42_36 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f166,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f5403,plain,
( ~ spl42_254
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f3413,f903,f1787]) ).
fof(f1787,plain,
( spl42_254
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f3413,plain,
( e13 != op1(e10,e12)
| ~ spl42_62 ),
inference(forward_demodulation,[],[f150,f905]) ).
fof(f150,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5396,plain,
( ~ spl42_119
| ~ spl42_155 ),
inference(avatar_contradiction_clause,[],[f5395]) ).
fof(f5395,plain,
( $false
| ~ spl42_119
| ~ spl42_155 ),
inference(subsumption_resolution,[],[f5394,f209]) ).
fof(f5394,plain,
( e10 = e13
| ~ spl42_119
| ~ spl42_155 ),
inference(backward_demodulation,[],[f1326,f1167]) ).
fof(f1167,plain,
( e10 = op1(e11,e11)
| ~ spl42_119 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1326,plain,
( e13 = op1(e11,e11)
| ~ spl42_155 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl42_155
<=> e13 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_155])]) ).
fof(f5371,plain,
( ~ spl42_78
| spl42_233
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f5370,f1812,f1686,f976]) ).
fof(f976,plain,
( spl42_78
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_78])]) ).
fof(f1686,plain,
( spl42_233
<=> e12 = op1(e13,op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f1812,plain,
( spl42_259
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f5370,plain,
( e12 != op1(e13,e10)
| spl42_233
| ~ spl42_259 ),
inference(forward_demodulation,[],[f1688,f1814]) ).
fof(f1814,plain,
( e10 = op1(e13,e12)
| ~ spl42_259 ),
inference(avatar_component_clause,[],[f1812]) ).
fof(f1688,plain,
( e12 != op1(e13,op1(e13,e12))
| spl42_233 ),
inference(avatar_component_clause,[],[f1686]) ).
fof(f5360,plain,
( ~ spl42_98
| ~ spl42_97 ),
inference(avatar_split_clause,[],[f5359,f1061,f1065]) ).
fof(f1065,plain,
( spl42_98
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f1061,plain,
( spl42_97
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_97])]) ).
fof(f5359,plain,
( e12 != op1(e11,e12)
| ~ spl42_97 ),
inference(backward_demodulation,[],[f158,f1063]) ).
fof(f1063,plain,
( e12 = op1(e11,e10)
| ~ spl42_97 ),
inference(avatar_component_clause,[],[f1061]) ).
fof(f158,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5341,plain,
( ~ spl42_8
| ~ spl42_276
| spl42_338 ),
inference(avatar_contradiction_clause,[],[f5340]) ).
fof(f5340,plain,
( $false
| ~ spl42_8
| ~ spl42_276
| spl42_338 ),
inference(subsumption_resolution,[],[f5315,f671]) ).
fof(f671,plain,
( e20 = op2(e20,e20)
| ~ spl42_8 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f669,plain,
( spl42_8
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_8])]) ).
fof(f5315,plain,
( e20 != op2(e20,e20)
| ~ spl42_276
| spl42_338 ),
inference(backward_demodulation,[],[f2459,f1912]) ).
fof(f1912,plain,
( e20 = h1(e13)
| ~ spl42_276 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f2459,plain,
( e20 != op2(e20,h1(e13))
| spl42_338 ),
inference(avatar_component_clause,[],[f2457]) ).
fof(f2457,plain,
( spl42_338
<=> e20 = op2(e20,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_338])]) ).
fof(f5296,plain,
( ~ spl42_8
| spl42_281 ),
inference(avatar_contradiction_clause,[],[f5295]) ).
fof(f5295,plain,
( $false
| ~ spl42_8
| spl42_281 ),
inference(subsumption_resolution,[],[f5294,f671]) ).
fof(f5294,plain,
( e20 != op2(e20,e20)
| ~ spl42_8
| spl42_281 ),
inference(forward_demodulation,[],[f1941,f671]) ).
fof(f1941,plain,
( e20 != op2(e20,op2(e20,e20))
| spl42_281 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1939,plain,
( spl42_281
<=> e20 = op2(e20,op2(e20,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_281])]) ).
fof(f5233,plain,
( ~ spl42_235
| ~ spl42_237 ),
inference(avatar_contradiction_clause,[],[f5232]) ).
fof(f5232,plain,
( $false
| ~ spl42_235
| ~ spl42_237 ),
inference(subsumption_resolution,[],[f5231,f1709]) ).
fof(f1709,plain,
( e22 = op2(e20,e21)
| ~ spl42_237 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1707,plain,
( spl42_237
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_237])]) ).
fof(f5231,plain,
( e22 != op2(e20,e21)
| ~ spl42_235 ),
inference(forward_demodulation,[],[f378,f1699]) ).
fof(f1699,plain,
( e22 = op2(e23,e21)
| ~ spl42_235 ),
inference(avatar_component_clause,[],[f1697]) ).
fof(f1697,plain,
( spl42_235
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f378,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5200,plain,
( spl42_276
| ~ spl42_8 ),
inference(avatar_split_clause,[],[f5199,f669,f1911]) ).
fof(f5199,plain,
( e20 = h1(e13)
| ~ spl42_8 ),
inference(forward_demodulation,[],[f206,f671]) ).
fof(f5182,plain,
( ~ spl42_100
| ~ spl42_256 ),
inference(avatar_contradiction_clause,[],[f5181]) ).
fof(f5181,plain,
( $false
| ~ spl42_100
| ~ spl42_256 ),
inference(subsumption_resolution,[],[f4054,f1801]) ).
fof(f1801,plain,
( e22 = op2(e21,e20)
| ~ spl42_256 ),
inference(avatar_component_clause,[],[f1799]) ).
fof(f1799,plain,
( spl42_256
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_256])]) ).
fof(f4054,plain,
( e22 != op2(e21,e20)
| ~ spl42_100 ),
inference(forward_demodulation,[],[f357,f1076]) ).
fof(f1076,plain,
( e22 = op2(e21,e22)
| ~ spl42_100 ),
inference(avatar_component_clause,[],[f1074]) ).
fof(f1074,plain,
( spl42_100
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_100])]) ).
fof(f357,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5177,plain,
( ~ spl42_159
| ~ spl42_248
| spl42_311
| ~ spl42_322 ),
inference(avatar_contradiction_clause,[],[f5176]) ).
fof(f5176,plain,
( $false
| ~ spl42_159
| ~ spl42_248
| spl42_311
| ~ spl42_322 ),
inference(subsumption_resolution,[],[f5175,f2135]) ).
fof(f2135,plain,
( e20 != e23
| spl42_311 ),
inference(avatar_component_clause,[],[f2133]) ).
fof(f2133,plain,
( spl42_311
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_311])]) ).
fof(f5175,plain,
( e20 = e23
| ~ spl42_159
| ~ spl42_248
| ~ spl42_322 ),
inference(forward_demodulation,[],[f5174,f1345]) ).
fof(f1345,plain,
( e20 = op2(e21,e23)
| ~ spl42_159 ),
inference(avatar_component_clause,[],[f1343]) ).
fof(f1343,plain,
( spl42_159
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).
fof(f5174,plain,
( e23 = op2(e21,e23)
| ~ spl42_248
| ~ spl42_322 ),
inference(forward_demodulation,[],[f3289,f2268]) ).
fof(f2268,plain,
( e23 = h4(e10)
| ~ spl42_322 ),
inference(avatar_component_clause,[],[f2267]) ).
fof(f2267,plain,
( spl42_322
<=> e23 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_322])]) ).
fof(f3289,plain,
( op2(e21,e23) = h4(e10)
| ~ spl42_248 ),
inference(backward_demodulation,[],[f2361,f1759]) ).
fof(f1759,plain,
( e21 = h4(e13)
| ~ spl42_248 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1758,plain,
( spl42_248
<=> e21 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_248])]) ).
fof(f2361,plain,
h4(e10) = op2(h4(e13),e23),
inference(forward_demodulation,[],[f500,f498]) ).
fof(f498,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( h4(e10) = op2(op2(e23,e23),e23)
& h4(e11) = op2(op2(e23,e23),op2(e23,e23))
& op2(e23,e23) = h4(e13)
& e23 = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f500,plain,
h4(e10) = op2(op2(e23,e23),e23),
inference(cnf_transformation,[],[f17]) ).
fof(f5141,plain,
( ~ spl42_301
| ~ spl42_235 ),
inference(avatar_split_clause,[],[f5140,f1697,f2068]) ).
fof(f2068,plain,
( spl42_301
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_301])]) ).
fof(f5140,plain,
( e22 != op2(e23,e20)
| ~ spl42_235 ),
inference(forward_demodulation,[],[f371,f1699]) ).
fof(f371,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5139,plain,
( ~ spl42_320
| ~ spl42_62
| spl42_117 ),
inference(avatar_split_clause,[],[f5138,f1155,f903,f2255]) ).
fof(f2255,plain,
( spl42_320
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_320])]) ).
fof(f1155,plain,
( spl42_117
<=> e12 = op1(e12,op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_117])]) ).
fof(f5138,plain,
( e12 != op1(e12,e13)
| ~ spl42_62
| spl42_117 ),
inference(forward_demodulation,[],[f1157,f905]) ).
fof(f1157,plain,
( e12 != op1(e12,op1(e12,e12))
| spl42_117 ),
inference(avatar_component_clause,[],[f1155]) ).
fof(f5090,plain,
( ~ spl42_192
| ~ spl42_263 ),
inference(avatar_split_clause,[],[f5089,f1832,f1489]) ).
fof(f1489,plain,
( spl42_192
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f1832,plain,
( spl42_263
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_263])]) ).
fof(f5089,plain,
( e13 != op1(e10,e13)
| ~ spl42_263 ),
inference(forward_demodulation,[],[f126,f1834]) ).
fof(f1834,plain,
( e13 = op1(e11,e13)
| ~ spl42_263 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f126,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5088,plain,
( ~ spl42_269
| ~ spl42_78 ),
inference(avatar_split_clause,[],[f5087,f976,f1865]) ).
fof(f5087,plain,
( op1(e10,e10) != e12
| ~ spl42_78 ),
inference(forward_demodulation,[],[f143,f978]) ).
fof(f978,plain,
( e12 = op1(e13,e10)
| ~ spl42_78 ),
inference(avatar_component_clause,[],[f976]) ).
fof(f143,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f5053,plain,
( ~ spl42_242
| ~ spl42_235 ),
inference(avatar_split_clause,[],[f5052,f1697,f1729]) ).
fof(f1729,plain,
( spl42_242
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).
fof(f5052,plain,
( e22 != op2(e22,e21)
| ~ spl42_235 ),
inference(forward_demodulation,[],[f393,f1699]) ).
fof(f393,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f5046,plain,
( ~ spl42_319
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3053,f1929,f2230]) ).
fof(f2230,plain,
( spl42_319
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_319])]) ).
fof(f1929,plain,
( spl42_279
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_279])]) ).
fof(f3053,plain,
( e23 != op2(e22,e21)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f2386,f1931]) ).
fof(f1931,plain,
( e23 = h3(e13)
| ~ spl42_279 ),
inference(avatar_component_clause,[],[f1929]) ).
fof(f2386,plain,
op2(e22,e21) != h3(e13),
inference(forward_demodulation,[],[f364,f396]) ).
fof(f396,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(op2(e22,e22),op2(e22,e22)) = h3(e11)
& op2(e22,e22) = h3(e13)
& e22 = h3(e12)
& op2(op2(e22,e22),e22) = h3(e10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f364,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f5036,plain,
( ~ spl42_242
| ~ spl42_38
| ~ spl42_153
| spl42_172
| ~ spl42_333 ),
inference(avatar_split_clause,[],[f5035,f2402,f1397,f1314,f795,f1729]) ).
fof(f795,plain,
( spl42_38
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_38])]) ).
fof(f1314,plain,
( spl42_153
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f1397,plain,
( spl42_172
<=> h1(op1(e10,e11)) = op2(h1(e10),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f2402,plain,
( spl42_333
<=> e22 = h1(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_333])]) ).
fof(f5035,plain,
( e22 != op2(e22,e21)
| ~ spl42_38
| ~ spl42_153
| spl42_172
| ~ spl42_333 ),
inference(forward_demodulation,[],[f5034,f2403]) ).
fof(f2403,plain,
( e22 = h1(e10)
| ~ spl42_333 ),
inference(avatar_component_clause,[],[f2402]) ).
fof(f5034,plain,
( op2(e22,e21) != h1(e10)
| ~ spl42_38
| ~ spl42_153
| spl42_172
| ~ spl42_333 ),
inference(forward_demodulation,[],[f5033,f1316]) ).
fof(f1316,plain,
( e10 = op1(e10,e11)
| ~ spl42_153 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f5033,plain,
( op2(e22,e21) != h1(op1(e10,e11))
| ~ spl42_38
| spl42_172
| ~ spl42_333 ),
inference(forward_demodulation,[],[f5032,f2403]) ).
fof(f5032,plain,
( h1(op1(e10,e11)) != op2(h1(e10),e21)
| ~ spl42_38
| spl42_172 ),
inference(forward_demodulation,[],[f1399,f796]) ).
fof(f796,plain,
( e21 = h1(e11)
| ~ spl42_38 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f1399,plain,
( h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| spl42_172 ),
inference(avatar_component_clause,[],[f1397]) ).
fof(f4989,plain,
( spl42_208
| ~ spl42_246 ),
inference(avatar_contradiction_clause,[],[f4988]) ).
fof(f4988,plain,
( $false
| spl42_208
| ~ spl42_246 ),
inference(subsumption_resolution,[],[f4987,f1750]) ).
fof(f1750,plain,
( e12 = op1(e10,e12)
| ~ spl42_246 ),
inference(avatar_component_clause,[],[f1748]) ).
fof(f1748,plain,
( spl42_246
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_246])]) ).
fof(f4987,plain,
( e12 != op1(e10,e12)
| spl42_208
| ~ spl42_246 ),
inference(forward_demodulation,[],[f1568,f1750]) ).
fof(f1568,plain,
( e12 != op1(e10,op1(e10,e12))
| spl42_208 ),
inference(avatar_component_clause,[],[f1566]) ).
fof(f1566,plain,
( spl42_208
<=> e12 = op1(e10,op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f4906,plain,
( ~ spl42_100
| ~ spl42_138
| ~ spl42_183
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4905]) ).
fof(f4905,plain,
( $false
| ~ spl42_100
| ~ spl42_138
| ~ spl42_183
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4904,f504]) ).
fof(f504,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e21 != e23
& e20 != e22
& e22 != e23
& e20 != e23
& e20 != e21
& e21 != e22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f4904,plain,
( e21 = e22
| ~ spl42_100
| ~ spl42_138
| ~ spl42_183
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4898,f2112]) ).
fof(f2112,plain,
( e21 = h3(e11)
| ~ spl42_307 ),
inference(avatar_component_clause,[],[f2111]) ).
fof(f2111,plain,
( spl42_307
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_307])]) ).
fof(f4898,plain,
( e22 = h3(e11)
| ~ spl42_100
| ~ spl42_138
| ~ spl42_183
| ~ spl42_307 ),
inference(backward_demodulation,[],[f4793,f1449]) ).
fof(f1449,plain,
( e11 = op1(e11,e12)
| ~ spl42_183 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1447,plain,
( spl42_183
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_183])]) ).
fof(f4793,plain,
( e22 = h3(op1(e11,e12))
| ~ spl42_100
| ~ spl42_138
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4394,f1076]) ).
fof(f4394,plain,
( op2(e21,e22) = h3(op1(e11,e12))
| ~ spl42_138
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1252,f2112]) ).
fof(f1252,plain,
( h3(op1(e11,e12)) = op2(h3(e11),e22)
| ~ spl42_138 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f1251,plain,
( spl42_138
<=> h3(op1(e11,e12)) = op2(h3(e11),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_138])]) ).
fof(f4903,plain,
( ~ spl42_109
| ~ spl42_183
| ~ spl42_197
| ~ spl42_220 ),
inference(avatar_contradiction_clause,[],[f4902]) ).
fof(f4902,plain,
( $false
| ~ spl42_109
| ~ spl42_183
| ~ spl42_197
| ~ spl42_220 ),
inference(subsumption_resolution,[],[f4901,f509]) ).
fof(f509,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f4901,plain,
( e21 = e23
| ~ spl42_109
| ~ spl42_183
| ~ spl42_197
| ~ spl42_220 ),
inference(forward_demodulation,[],[f4900,f1119]) ).
fof(f1119,plain,
( e21 = h4(e11)
| ~ spl42_109 ),
inference(avatar_component_clause,[],[f1118]) ).
fof(f1118,plain,
( spl42_109
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_109])]) ).
fof(f4900,plain,
( e23 = h4(e11)
| ~ spl42_109
| ~ spl42_183
| ~ spl42_197
| ~ spl42_220 ),
inference(backward_demodulation,[],[f4838,f1449]) ).
fof(f4838,plain,
( e23 = h4(op1(e11,e12))
| ~ spl42_109
| ~ spl42_197
| ~ spl42_220 ),
inference(forward_demodulation,[],[f4319,f1514]) ).
fof(f1514,plain,
( e23 = op2(e21,e23)
| ~ spl42_197 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1512,plain,
( spl42_197
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f4319,plain,
( op2(e21,e23) = h4(op1(e11,e12))
| ~ spl42_109
| ~ spl42_220 ),
inference(forward_demodulation,[],[f4318,f1119]) ).
fof(f4318,plain,
( h4(op1(e11,e12)) = op2(h4(e11),e23)
| ~ spl42_220 ),
inference(forward_demodulation,[],[f1633,f497]) ).
fof(f497,plain,
e23 = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1633,plain,
( h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
| ~ spl42_220 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f1632,plain,
( spl42_220
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f4883,plain,
( ~ spl42_2
| ~ spl42_155 ),
inference(avatar_split_clause,[],[f4882,f1324,f643]) ).
fof(f643,plain,
( spl42_2
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_2])]) ).
fof(f4882,plain,
( e13 != op1(e13,e11)
| ~ spl42_155 ),
inference(forward_demodulation,[],[f132,f1326]) ).
fof(f4875,plain,
( ~ spl42_269
| ~ spl42_246 ),
inference(avatar_split_clause,[],[f4874,f1748,f1865]) ).
fof(f4874,plain,
( op1(e10,e10) != e12
| ~ spl42_246 ),
inference(forward_demodulation,[],[f140,f1750]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f4869,plain,
( ~ spl42_60
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f3821,f1314,f894]) ).
fof(f3821,plain,
( e10 != op1(e12,e11)
| ~ spl42_153 ),
inference(forward_demodulation,[],[f166,f1316]) ).
fof(f4864,plain,
( ~ spl42_94
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f4858,f1489,f1048]) ).
fof(f1048,plain,
( spl42_94
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f4858,plain,
( op1(e10,e10) != e13
| ~ spl42_192 ),
inference(backward_demodulation,[],[f145,f1491]) ).
fof(f1491,plain,
( e13 = op1(e10,e13)
| ~ spl42_192 ),
inference(avatar_component_clause,[],[f1489]) ).
fof(f145,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f4824,plain,
( ~ spl42_259
| spl42_334 ),
inference(avatar_contradiction_clause,[],[f4823]) ).
fof(f4823,plain,
( $false
| ~ spl42_259
| spl42_334 ),
inference(trivial_inequality_removal,[],[f4822]) ).
fof(f4822,plain,
( h1(e10) != h1(e10)
| ~ spl42_259
| spl42_334 ),
inference(forward_demodulation,[],[f2408,f1814]) ).
fof(f2408,plain,
( h1(e10) != h1(op1(e13,e12))
| spl42_334 ),
inference(avatar_component_clause,[],[f2406]) ).
fof(f2406,plain,
( spl42_334
<=> h1(e10) = h1(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_334])]) ).
fof(f4777,plain,
( ~ spl42_75
| ~ spl42_121 ),
inference(avatar_contradiction_clause,[],[f4776]) ).
fof(f4776,plain,
( $false
| ~ spl42_75
| ~ spl42_121 ),
inference(subsumption_resolution,[],[f4775,f210]) ).
fof(f4775,plain,
( e10 = e11
| ~ spl42_75
| ~ spl42_121 ),
inference(backward_demodulation,[],[f965,f1175]) ).
fof(f1175,plain,
( e10 = op1(e13,e13)
| ~ spl42_121 ),
inference(avatar_component_clause,[],[f1173]) ).
fof(f1173,plain,
( spl42_121
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_121])]) ).
fof(f4700,plain,
( ~ spl42_259
| ~ spl42_318 ),
inference(avatar_contradiction_clause,[],[f4699]) ).
fof(f4699,plain,
( $false
| ~ spl42_259
| ~ spl42_318 ),
inference(subsumption_resolution,[],[f4698,f210]) ).
fof(f4698,plain,
( e10 = e11
| ~ spl42_259
| ~ spl42_318 ),
inference(forward_demodulation,[],[f2217,f1814]) ).
fof(f2217,plain,
( e11 = op1(e13,e12)
| ~ spl42_318 ),
inference(avatar_component_clause,[],[f2215]) ).
fof(f2215,plain,
( spl42_318
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_318])]) ).
fof(f4684,plain,
( ~ spl42_62
| spl42_335 ),
inference(avatar_contradiction_clause,[],[f4683]) ).
fof(f4683,plain,
( $false
| ~ spl42_62
| spl42_335 ),
inference(trivial_inequality_removal,[],[f4682]) ).
fof(f4682,plain,
( h1(e13) != h1(e13)
| ~ spl42_62
| spl42_335 ),
inference(forward_demodulation,[],[f2412,f905]) ).
fof(f2412,plain,
( h1(e13) != h1(op1(e12,e12))
| spl42_335 ),
inference(avatar_component_clause,[],[f2410]) ).
fof(f2410,plain,
( spl42_335
<=> h1(e13) = h1(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_335])]) ).
fof(f4655,plain,
( ~ spl42_38
| ~ spl42_234
| spl42_289
| ~ spl42_304
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4654]) ).
fof(f4654,plain,
( $false
| ~ spl42_38
| ~ spl42_234
| spl42_289
| ~ spl42_304
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4653,f2087]) ).
fof(f2087,plain,
( e21 = op2(e20,e22)
| ~ spl42_304 ),
inference(avatar_component_clause,[],[f2085]) ).
fof(f2085,plain,
( spl42_304
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_304])]) ).
fof(f4653,plain,
( e21 != op2(e20,e22)
| ~ spl42_38
| ~ spl42_234
| spl42_289
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4652,f796]) ).
fof(f4652,plain,
( op2(e20,e22) != h1(e11)
| ~ spl42_234
| spl42_289
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4651,f1694]) ).
fof(f1694,plain,
( e11 = op1(e12,e10)
| ~ spl42_234 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1692,plain,
( spl42_234
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_234])]) ).
fof(f4651,plain,
( op2(e20,e22) != h1(op1(e12,e10))
| spl42_289
| ~ spl42_333 ),
inference(forward_demodulation,[],[f1986,f2403]) ).
fof(f1986,plain,
( h1(op1(e12,e10)) != op2(e20,h1(e10))
| spl42_289 ),
inference(avatar_component_clause,[],[f1984]) ).
fof(f1984,plain,
( spl42_289
<=> h1(op1(e12,e10)) = op2(e20,h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_289])]) ).
fof(f4642,plain,
( ~ spl42_259
| ~ spl42_302
| spl42_306 ),
inference(avatar_contradiction_clause,[],[f4641]) ).
fof(f4641,plain,
( $false
| ~ spl42_259
| ~ spl42_302
| spl42_306 ),
inference(subsumption_resolution,[],[f4640,f2074]) ).
fof(f2074,plain,
( e20 = h3(e10)
| ~ spl42_302 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2073,plain,
( spl42_302
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_302])]) ).
fof(f4640,plain,
( e20 != h3(e10)
| ~ spl42_259
| spl42_306 ),
inference(forward_demodulation,[],[f2109,f1814]) ).
fof(f2109,plain,
( e20 != h3(op1(e13,e12))
| spl42_306 ),
inference(avatar_component_clause,[],[f2107]) ).
fof(f2107,plain,
( spl42_306
<=> e20 = h3(op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_306])]) ).
fof(f4617,plain,
( ~ spl42_239
| ~ spl42_240
| spl42_288
| ~ spl42_330
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4616]) ).
fof(f4616,plain,
( $false
| ~ spl42_239
| ~ spl42_240
| spl42_288
| ~ spl42_330
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4615,f1717]) ).
fof(f1717,plain,
( e22 = op2(e20,e23)
| ~ spl42_239 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1715,plain,
( spl42_239
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f4615,plain,
( e22 != op2(e20,e23)
| ~ spl42_240
| spl42_288
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4614,f2403]) ).
fof(f4614,plain,
( op2(e20,e23) != h1(e10)
| ~ spl42_240
| spl42_288
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4613,f1722]) ).
fof(f1722,plain,
( e10 = op1(e12,e13)
| ~ spl42_240 ),
inference(avatar_component_clause,[],[f1720]) ).
fof(f1720,plain,
( spl42_240
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_240])]) ).
fof(f4613,plain,
( op2(e20,e23) != h1(op1(e12,e13))
| spl42_288
| ~ spl42_330 ),
inference(forward_demodulation,[],[f1982,f2358]) ).
fof(f2358,plain,
( e23 = h1(e13)
| ~ spl42_330 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2357,plain,
( spl42_330
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_330])]) ).
fof(f1982,plain,
( h1(op1(e12,e13)) != op2(e20,h1(e13))
| spl42_288 ),
inference(avatar_component_clause,[],[f1980]) ).
fof(f1980,plain,
( spl42_288
<=> h1(op1(e12,e13)) = op2(e20,h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_288])]) ).
fof(f4593,plain,
( ~ spl42_75
| spl42_308 ),
inference(avatar_contradiction_clause,[],[f4592]) ).
fof(f4592,plain,
( $false
| ~ spl42_75
| spl42_308 ),
inference(trivial_inequality_removal,[],[f4591]) ).
fof(f4591,plain,
( h3(e11) != h3(e11)
| ~ spl42_75
| spl42_308 ),
inference(forward_demodulation,[],[f2117,f965]) ).
fof(f2117,plain,
( h3(e11) != h3(op1(e13,e13))
| spl42_308 ),
inference(avatar_component_clause,[],[f2115]) ).
fof(f2115,plain,
( spl42_308
<=> h3(e11) = h3(op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_308])]) ).
fof(f4582,plain,
( ~ spl42_62
| spl42_309 ),
inference(avatar_contradiction_clause,[],[f4581]) ).
fof(f4581,plain,
( $false
| ~ spl42_62
| spl42_309 ),
inference(trivial_inequality_removal,[],[f4580]) ).
fof(f4580,plain,
( h3(e13) != h3(e13)
| ~ spl42_62
| spl42_309 ),
inference(forward_demodulation,[],[f2121,f905]) ).
fof(f2121,plain,
( h3(e13) != h3(op1(e12,e12))
| spl42_309 ),
inference(avatar_component_clause,[],[f2119]) ).
fof(f2119,plain,
( spl42_309
<=> h3(e13) = h3(op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_309])]) ).
fof(f4551,plain,
( ~ spl42_38
| ~ spl42_253
| ~ spl42_277
| spl42_291
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4550]) ).
fof(f4550,plain,
( $false
| ~ spl42_38
| ~ spl42_253
| ~ spl42_277
| spl42_291
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4549,f1921]) ).
fof(f1921,plain,
( e21 = op2(e22,e20)
| ~ spl42_277 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1919,plain,
( spl42_277
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_277])]) ).
fof(f4549,plain,
( e21 != op2(e22,e20)
| ~ spl42_38
| ~ spl42_253
| spl42_291
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4548,f796]) ).
fof(f4548,plain,
( op2(e22,e20) != h1(e11)
| ~ spl42_253
| spl42_291
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4547,f1785]) ).
fof(f1785,plain,
( e11 = op1(e10,e12)
| ~ spl42_253 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f1783,plain,
( spl42_253
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f4547,plain,
( op2(e22,e20) != h1(op1(e10,e12))
| spl42_291
| ~ spl42_333 ),
inference(forward_demodulation,[],[f1994,f2403]) ).
fof(f1994,plain,
( h1(op1(e10,e12)) != op2(h1(e10),e20)
| spl42_291 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1992,plain,
( spl42_291
<=> h1(op1(e10,e12)) = op2(h1(e10),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_291])]) ).
fof(f4534,plain,
( ~ spl42_36
| ~ spl42_38
| ~ spl42_145
| spl42_285 ),
inference(avatar_contradiction_clause,[],[f4533]) ).
fof(f4533,plain,
( $false
| ~ spl42_36
| ~ spl42_38
| ~ spl42_145
| spl42_285 ),
inference(subsumption_resolution,[],[f4532,f1281]) ).
fof(f1281,plain,
( e20 = op2(e20,e21)
| ~ spl42_145 ),
inference(avatar_component_clause,[],[f1280]) ).
fof(f1280,plain,
( spl42_145
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_145])]) ).
fof(f4532,plain,
( e20 != op2(e20,e21)
| ~ spl42_36
| ~ spl42_38
| spl42_285 ),
inference(forward_demodulation,[],[f4531,f205]) ).
fof(f205,plain,
e20 = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f4531,plain,
( op2(e20,e21) != h1(e12)
| ~ spl42_36
| ~ spl42_38
| spl42_285 ),
inference(forward_demodulation,[],[f4530,f788]) ).
fof(f4530,plain,
( op2(e20,e21) != h1(op1(e12,e11))
| ~ spl42_38
| spl42_285 ),
inference(forward_demodulation,[],[f1970,f796]) ).
fof(f1970,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e11))
| spl42_285 ),
inference(avatar_component_clause,[],[f1968]) ).
fof(f1968,plain,
( spl42_285
<=> h1(op1(e12,e11)) = op2(e20,h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_285])]) ).
fof(f4500,plain,
( spl42_144
| ~ spl42_145
| ~ spl42_153
| ~ spl42_302
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4499]) ).
fof(f4499,plain,
( $false
| spl42_144
| ~ spl42_145
| ~ spl42_153
| ~ spl42_302
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4498,f1281]) ).
fof(f4498,plain,
( e20 != op2(e20,e21)
| spl42_144
| ~ spl42_153
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4497,f2074]) ).
fof(f4497,plain,
( op2(e20,e21) != h3(e10)
| spl42_144
| ~ spl42_153
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4496,f1316]) ).
fof(f4496,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl42_144
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4495,f2074]) ).
fof(f4495,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl42_144
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1277,f2112]) ).
fof(f1277,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl42_144 ),
inference(avatar_component_clause,[],[f1275]) ).
fof(f1275,plain,
( spl42_144
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f4479,plain,
( ~ spl42_2
| spl42_142
| ~ spl42_204
| ~ spl42_279
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4478]) ).
fof(f4478,plain,
( $false
| ~ spl42_2
| spl42_142
| ~ spl42_204
| ~ spl42_279
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4477,f1548]) ).
fof(f1548,plain,
( e23 = op2(e23,e21)
| ~ spl42_204 ),
inference(avatar_component_clause,[],[f1546]) ).
fof(f1546,plain,
( spl42_204
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f4477,plain,
( e23 != op2(e23,e21)
| ~ spl42_2
| spl42_142
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4476,f1931]) ).
fof(f4476,plain,
( op2(e23,e21) != h3(e13)
| ~ spl42_2
| spl42_142
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4475,f645]) ).
fof(f645,plain,
( e13 = op1(e13,e11)
| ~ spl42_2 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f4475,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| spl42_142
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4474,f1931]) ).
fof(f4474,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl42_142
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1269,f2112]) ).
fof(f1269,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl42_142 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl42_142
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f4473,plain,
( ~ spl42_38
| ~ spl42_98
| ~ spl42_116
| spl42_284 ),
inference(avatar_contradiction_clause,[],[f4472]) ).
fof(f4472,plain,
( $false
| ~ spl42_38
| ~ spl42_98
| ~ spl42_116
| spl42_284 ),
inference(subsumption_resolution,[],[f4471,f1152]) ).
fof(f4471,plain,
( e20 != op2(e21,e20)
| ~ spl42_38
| ~ spl42_98
| spl42_284 ),
inference(forward_demodulation,[],[f4470,f205]) ).
fof(f4470,plain,
( op2(e21,e20) != h1(e12)
| ~ spl42_38
| ~ spl42_98
| spl42_284 ),
inference(forward_demodulation,[],[f4469,f1067]) ).
fof(f1067,plain,
( e12 = op1(e11,e12)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f4469,plain,
( op2(e21,e20) != h1(op1(e11,e12))
| ~ spl42_38
| spl42_284 ),
inference(forward_demodulation,[],[f1966,f796]) ).
fof(f1966,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e20)
| spl42_284 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1964,plain,
( spl42_284
<=> h1(op1(e11,e12)) = op2(h1(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_284])]) ).
fof(f4446,plain,
( ~ spl42_2
| ~ spl42_38
| spl42_174
| ~ spl42_204
| ~ spl42_330 ),
inference(avatar_contradiction_clause,[],[f4445]) ).
fof(f4445,plain,
( $false
| ~ spl42_2
| ~ spl42_38
| spl42_174
| ~ spl42_204
| ~ spl42_330 ),
inference(subsumption_resolution,[],[f4444,f1548]) ).
fof(f4444,plain,
( e23 != op2(e23,e21)
| ~ spl42_2
| ~ spl42_38
| spl42_174
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4443,f2358]) ).
fof(f4443,plain,
( op2(e23,e21) != h1(e13)
| ~ spl42_2
| ~ spl42_38
| spl42_174
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4442,f645]) ).
fof(f4442,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| ~ spl42_38
| spl42_174
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4441,f2358]) ).
fof(f4441,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| ~ spl42_38
| spl42_174 ),
inference(forward_demodulation,[],[f1407,f796]) ).
fof(f1407,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl42_174 ),
inference(avatar_component_clause,[],[f1405]) ).
fof(f1405,plain,
( spl42_174
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f4414,plain,
( spl42_143
| ~ spl42_189
| ~ spl42_239
| ~ spl42_279
| ~ spl42_302 ),
inference(avatar_contradiction_clause,[],[f4413]) ).
fof(f4413,plain,
( $false
| spl42_143
| ~ spl42_189
| ~ spl42_239
| ~ spl42_279
| ~ spl42_302 ),
inference(subsumption_resolution,[],[f4412,f1717]) ).
fof(f4412,plain,
( e22 != op2(e20,e23)
| spl42_143
| ~ spl42_189
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4411,f395]) ).
fof(f395,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f4411,plain,
( op2(e20,e23) != h3(e12)
| spl42_143
| ~ spl42_189
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4410,f1479]) ).
fof(f1479,plain,
( e12 = op1(e10,e13)
| ~ spl42_189 ),
inference(avatar_component_clause,[],[f1477]) ).
fof(f1477,plain,
( spl42_189
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_189])]) ).
fof(f4410,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| spl42_143
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4409,f2074]) ).
fof(f4409,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| spl42_143
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1273,f1931]) ).
fof(f1273,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl42_143 ),
inference(avatar_component_clause,[],[f1271]) ).
fof(f1271,plain,
( spl42_143
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_143])]) ).
fof(f4389,plain,
( ~ spl42_78
| spl42_139
| ~ spl42_279
| ~ spl42_301
| ~ spl42_302 ),
inference(avatar_contradiction_clause,[],[f4388]) ).
fof(f4388,plain,
( $false
| ~ spl42_78
| spl42_139
| ~ spl42_279
| ~ spl42_301
| ~ spl42_302 ),
inference(subsumption_resolution,[],[f4387,f2070]) ).
fof(f2070,plain,
( e22 = op2(e23,e20)
| ~ spl42_301 ),
inference(avatar_component_clause,[],[f2068]) ).
fof(f4387,plain,
( e22 != op2(e23,e20)
| ~ spl42_78
| spl42_139
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4386,f395]) ).
fof(f4386,plain,
( op2(e23,e20) != h3(e12)
| ~ spl42_78
| spl42_139
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4385,f978]) ).
fof(f4385,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl42_139
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4384,f1931]) ).
fof(f4384,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl42_139
| ~ spl42_302 ),
inference(forward_demodulation,[],[f1257,f2074]) ).
fof(f1257,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl42_139 ),
inference(avatar_component_clause,[],[f1255]) ).
fof(f1255,plain,
( spl42_139
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_139])]) ).
fof(f4365,plain,
( ~ spl42_98
| ~ spl42_100
| spl42_138
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4364]) ).
fof(f4364,plain,
( $false
| ~ spl42_98
| ~ spl42_100
| spl42_138
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4363,f1076]) ).
fof(f4363,plain,
( e22 != op2(e21,e22)
| ~ spl42_98
| spl42_138
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4362,f395]) ).
fof(f4362,plain,
( op2(e21,e22) != h3(e12)
| ~ spl42_98
| spl42_138
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4361,f1067]) ).
fof(f4361,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| spl42_138
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1253,f2112]) ).
fof(f1253,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl42_138 ),
inference(avatar_component_clause,[],[f1251]) ).
fof(f4351,plain,
( ~ spl42_78
| ~ spl42_157
| spl42_170
| ~ spl42_330
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4350]) ).
fof(f4350,plain,
( $false
| ~ spl42_78
| ~ spl42_157
| spl42_170
| ~ spl42_330
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4349,f1335]) ).
fof(f1335,plain,
( e20 = op2(e23,e22)
| ~ spl42_157 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f1333,plain,
( spl42_157
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).
fof(f4349,plain,
( e20 != op2(e23,e22)
| ~ spl42_78
| spl42_170
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4348,f205]) ).
fof(f4348,plain,
( op2(e23,e22) != h1(e12)
| ~ spl42_78
| spl42_170
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4347,f978]) ).
fof(f4347,plain,
( op2(e23,e22) != h1(op1(e13,e10))
| spl42_170
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4346,f2358]) ).
fof(f4346,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e22)
| spl42_170
| ~ spl42_333 ),
inference(forward_demodulation,[],[f1391,f2403]) ).
fof(f1391,plain,
( h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| spl42_170 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1389,plain,
( spl42_170
<=> h1(op1(e13,e10)) = op2(h1(e13),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_170])]) ).
fof(f4331,plain,
( ~ spl42_38
| ~ spl42_75
| ~ spl42_114
| spl42_178
| ~ spl42_330 ),
inference(avatar_contradiction_clause,[],[f4330]) ).
fof(f4330,plain,
( $false
| ~ spl42_38
| ~ spl42_75
| ~ spl42_114
| spl42_178
| ~ spl42_330 ),
inference(subsumption_resolution,[],[f4329,f1142]) ).
fof(f1142,plain,
( e21 = op2(e23,e23)
| ~ spl42_114 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl42_114
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_114])]) ).
fof(f4329,plain,
( e21 != op2(e23,e23)
| ~ spl42_38
| ~ spl42_75
| spl42_178
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4328,f796]) ).
fof(f4328,plain,
( op2(e23,e23) != h1(e11)
| ~ spl42_75
| spl42_178
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4327,f965]) ).
fof(f4327,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| spl42_178
| ~ spl42_330 ),
inference(forward_demodulation,[],[f1423,f2358]) ).
fof(f1423,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl42_178 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1421,plain,
( spl42_178
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f4314,plain,
( ~ spl42_82
| spl42_137
| ~ spl42_240
| ~ spl42_279
| ~ spl42_302 ),
inference(avatar_contradiction_clause,[],[f4313]) ).
fof(f4313,plain,
( $false
| ~ spl42_82
| spl42_137
| ~ spl42_240
| ~ spl42_279
| ~ spl42_302 ),
inference(subsumption_resolution,[],[f4312,f995]) ).
fof(f995,plain,
( e20 = op2(e22,e23)
| ~ spl42_82 ),
inference(avatar_component_clause,[],[f993]) ).
fof(f993,plain,
( spl42_82
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f4312,plain,
( e20 != op2(e22,e23)
| spl42_137
| ~ spl42_240
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4311,f2074]) ).
fof(f4311,plain,
( op2(e22,e23) != h3(e10)
| spl42_137
| ~ spl42_240
| ~ spl42_279 ),
inference(forward_demodulation,[],[f4310,f1722]) ).
fof(f4310,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| spl42_137
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1249,f1931]) ).
fof(f1249,plain,
( h3(op1(e12,e13)) != op2(e22,h3(e13))
| spl42_137 ),
inference(avatar_component_clause,[],[f1247]) ).
fof(f1247,plain,
( spl42_137
<=> h3(op1(e12,e13)) = op2(e22,h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_137])]) ).
fof(f4295,plain,
( ~ spl42_38
| spl42_173
| ~ spl42_197
| ~ spl42_263
| ~ spl42_330 ),
inference(avatar_contradiction_clause,[],[f4294]) ).
fof(f4294,plain,
( $false
| ~ spl42_38
| spl42_173
| ~ spl42_197
| ~ spl42_263
| ~ spl42_330 ),
inference(subsumption_resolution,[],[f4293,f1514]) ).
fof(f4293,plain,
( e23 != op2(e21,e23)
| ~ spl42_38
| spl42_173
| ~ spl42_263
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4292,f2358]) ).
fof(f4292,plain,
( op2(e21,e23) != h1(e13)
| ~ spl42_38
| spl42_173
| ~ spl42_263
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4291,f1834]) ).
fof(f4291,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| ~ spl42_38
| spl42_173
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4290,f796]) ).
fof(f4290,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| spl42_173
| ~ spl42_330 ),
inference(forward_demodulation,[],[f1403,f2358]) ).
fof(f1403,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl42_173 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1401,plain,
( spl42_173
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_173])]) ).
fof(f4276,plain,
( ~ spl42_98
| ~ spl42_109
| ~ spl42_197
| spl42_220 ),
inference(avatar_contradiction_clause,[],[f4275]) ).
fof(f4275,plain,
( $false
| ~ spl42_98
| ~ spl42_109
| ~ spl42_197
| spl42_220 ),
inference(subsumption_resolution,[],[f4274,f1514]) ).
fof(f4274,plain,
( e23 != op2(e21,e23)
| ~ spl42_98
| ~ spl42_109
| spl42_220 ),
inference(forward_demodulation,[],[f4273,f497]) ).
fof(f4273,plain,
( op2(e21,e23) != h4(e12)
| ~ spl42_98
| ~ spl42_109
| spl42_220 ),
inference(forward_demodulation,[],[f4272,f1067]) ).
fof(f4272,plain,
( op2(e21,e23) != h4(op1(e11,e12))
| ~ spl42_109
| spl42_220 ),
inference(forward_demodulation,[],[f4271,f1119]) ).
fof(f4271,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e23)
| spl42_220 ),
inference(forward_demodulation,[],[f1634,f497]) ).
fof(f1634,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl42_220 ),
inference(avatar_component_clause,[],[f1632]) ).
fof(f4266,plain,
( ~ spl42_68
| ~ spl42_77
| spl42_136
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4265]) ).
fof(f4265,plain,
( $false
| ~ spl42_68
| ~ spl42_77
| spl42_136
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4264,f933]) ).
fof(f933,plain,
( e21 = op2(e21,e21)
| ~ spl42_68 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl42_68
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_68])]) ).
fof(f4264,plain,
( e21 != op2(e21,e21)
| ~ spl42_77
| spl42_136
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4263,f2112]) ).
fof(f4263,plain,
( op2(e21,e21) != h3(e11)
| ~ spl42_77
| spl42_136
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4262,f973]) ).
fof(f973,plain,
( e11 = op1(e11,e11)
| ~ spl42_77 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl42_77
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_77])]) ).
fof(f4262,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl42_136
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1245,f2112]) ).
fof(f1245,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl42_136 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1243,plain,
( spl42_136
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_136])]) ).
fof(f4248,plain,
( spl42_134
| ~ spl42_234
| ~ spl42_277
| ~ spl42_302
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4247]) ).
fof(f4247,plain,
( $false
| spl42_134
| ~ spl42_234
| ~ spl42_277
| ~ spl42_302
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4246,f1921]) ).
fof(f4246,plain,
( e21 != op2(e22,e20)
| spl42_134
| ~ spl42_234
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4245,f2112]) ).
fof(f4245,plain,
( op2(e22,e20) != h3(e11)
| spl42_134
| ~ spl42_234
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4244,f1694]) ).
fof(f4244,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| spl42_134
| ~ spl42_302 ),
inference(forward_demodulation,[],[f1237,f2074]) ).
fof(f1237,plain,
( h3(op1(e12,e10)) != op2(e22,h3(e10))
| spl42_134 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1235,plain,
( spl42_134
<=> h3(op1(e12,e10)) = op2(e22,h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_134])]) ).
fof(f4239,plain,
( ~ spl42_38
| ~ spl42_100
| spl42_168
| ~ spl42_250
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4238]) ).
fof(f4238,plain,
( $false
| ~ spl42_38
| ~ spl42_100
| spl42_168
| ~ spl42_250
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4237,f1076]) ).
fof(f4237,plain,
( e22 != op2(e21,e22)
| ~ spl42_38
| spl42_168
| ~ spl42_250
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4236,f2403]) ).
fof(f4236,plain,
( op2(e21,e22) != h1(e10)
| ~ spl42_38
| spl42_168
| ~ spl42_250
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4235,f1770]) ).
fof(f1770,plain,
( e10 = op1(e11,e10)
| ~ spl42_250 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1768,plain,
( spl42_250
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f4235,plain,
( op2(e21,e22) != h1(op1(e11,e10))
| ~ spl42_38
| spl42_168
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4234,f796]) ).
fof(f4234,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e22)
| spl42_168
| ~ spl42_333 ),
inference(forward_demodulation,[],[f1383,f2403]) ).
fof(f1383,plain,
( h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| spl42_168 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1381,plain,
( spl42_168
<=> h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_168])]) ).
fof(f4210,plain,
( ~ spl42_82
| spl42_167
| ~ spl42_189
| ~ spl42_330
| ~ spl42_333 ),
inference(avatar_contradiction_clause,[],[f4209]) ).
fof(f4209,plain,
( $false
| ~ spl42_82
| spl42_167
| ~ spl42_189
| ~ spl42_330
| ~ spl42_333 ),
inference(subsumption_resolution,[],[f4208,f995]) ).
fof(f4208,plain,
( e20 != op2(e22,e23)
| spl42_167
| ~ spl42_189
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4207,f205]) ).
fof(f4207,plain,
( op2(e22,e23) != h1(e12)
| spl42_167
| ~ spl42_189
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4206,f1479]) ).
fof(f4206,plain,
( op2(e22,e23) != h1(op1(e10,e13))
| spl42_167
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4205,f2403]) ).
fof(f4205,plain,
( h1(op1(e10,e13)) != op2(h1(e10),e23)
| spl42_167
| ~ spl42_330 ),
inference(forward_demodulation,[],[f1379,f2358]) ).
fof(f1379,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| spl42_167 ),
inference(avatar_component_clause,[],[f1377]) ).
fof(f1377,plain,
( spl42_167
<=> h1(op1(e10,e13)) = op2(h1(e10),h1(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_167])]) ).
fof(f4200,plain,
( ~ spl42_36
| spl42_129
| ~ spl42_242
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4199]) ).
fof(f4199,plain,
( $false
| ~ spl42_36
| spl42_129
| ~ spl42_242
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4198,f1731]) ).
fof(f1731,plain,
( e22 = op2(e22,e21)
| ~ spl42_242 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f4198,plain,
( e22 != op2(e22,e21)
| ~ spl42_36
| spl42_129
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4197,f395]) ).
fof(f4197,plain,
( op2(e22,e21) != h3(e12)
| ~ spl42_36
| spl42_129
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4196,f788]) ).
fof(f4196,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| spl42_129
| ~ spl42_307 ),
inference(forward_demodulation,[],[f1217,f2112]) ).
fof(f1217,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| spl42_129 ),
inference(avatar_component_clause,[],[f1215]) ).
fof(f1215,plain,
( spl42_129
<=> h3(op1(e12,e11)) = op2(e22,h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_129])]) ).
fof(f4154,plain,
( spl42_141
| ~ spl42_197
| ~ spl42_263
| ~ spl42_279
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4153,plain,
( $false
| spl42_141
| ~ spl42_197
| ~ spl42_263
| ~ spl42_279
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4152,f1514]) ).
fof(f4152,plain,
( e23 != op2(e21,e23)
| spl42_141
| ~ spl42_263
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4151,f1931]) ).
fof(f4151,plain,
( op2(e21,e23) != h3(e13)
| spl42_141
| ~ spl42_263
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4150,f1834]) ).
fof(f4150,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| spl42_141
| ~ spl42_279
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4149,f2112]) ).
fof(f4149,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| spl42_141
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1265,f1931]) ).
fof(f1265,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl42_141 ),
inference(avatar_component_clause,[],[f1263]) ).
fof(f1263,plain,
( spl42_141
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_141])]) ).
fof(f4146,plain,
( ~ spl42_206
| ~ spl42_94
| spl42_176
| ~ spl42_330
| ~ spl42_333 ),
inference(avatar_split_clause,[],[f4145,f2402,f2357,f1413,f1048,f1555]) ).
fof(f1555,plain,
( spl42_206
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_206])]) ).
fof(f1413,plain,
( spl42_176
<=> h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_176])]) ).
fof(f4145,plain,
( e23 != op2(e22,e22)
| ~ spl42_94
| spl42_176
| ~ spl42_330
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4144,f2358]) ).
fof(f4144,plain,
( op2(e22,e22) != h1(e13)
| ~ spl42_94
| spl42_176
| ~ spl42_333 ),
inference(forward_demodulation,[],[f4143,f1050]) ).
fof(f1050,plain,
( op1(e10,e10) = e13
| ~ spl42_94 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f4143,plain,
( op2(e22,e22) != h1(op1(e10,e10))
| spl42_176
| ~ spl42_333 ),
inference(forward_demodulation,[],[f1415,f2403]) ).
fof(f1415,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| spl42_176 ),
inference(avatar_component_clause,[],[f1413]) ).
fof(f4134,plain,
( ~ spl42_147
| ~ spl42_206 ),
inference(avatar_contradiction_clause,[],[f4133]) ).
fof(f4133,plain,
( $false
| ~ spl42_147
| ~ spl42_206 ),
inference(subsumption_resolution,[],[f4132,f509]) ).
fof(f4132,plain,
( e21 = e23
| ~ spl42_147
| ~ spl42_206 ),
inference(backward_demodulation,[],[f1557,f1290]) ).
fof(f1290,plain,
( e21 = op2(e22,e22)
| ~ spl42_147 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1288,plain,
( spl42_147
<=> e21 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f1557,plain,
( e23 = op2(e22,e22)
| ~ spl42_206 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f4111,plain,
( ~ spl42_158
| spl42_207
| ~ spl42_239 ),
inference(avatar_contradiction_clause,[],[f4110]) ).
fof(f4110,plain,
( $false
| ~ spl42_158
| spl42_207
| ~ spl42_239 ),
inference(subsumption_resolution,[],[f4108,f1563]) ).
fof(f1563,plain,
( e20 != e22
| spl42_207 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1561,plain,
( spl42_207
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f4108,plain,
( e20 = e22
| ~ spl42_158
| ~ spl42_239 ),
inference(backward_demodulation,[],[f1717,f1341]) ).
fof(f1341,plain,
( e20 = op2(e20,e23)
| ~ spl42_158 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f1339,plain,
( spl42_158
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_158])]) ).
fof(f4107,plain,
( ~ spl42_54
| ~ spl42_94
| spl42_140
| ~ spl42_279
| ~ spl42_302 ),
inference(avatar_contradiction_clause,[],[f4106]) ).
fof(f4106,plain,
( $false
| ~ spl42_54
| ~ spl42_94
| spl42_140
| ~ spl42_279
| ~ spl42_302 ),
inference(subsumption_resolution,[],[f4105,f870]) ).
fof(f870,plain,
( op2(e20,e20) = e23
| ~ spl42_54 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f868,plain,
( spl42_54
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).
fof(f4105,plain,
( op2(e20,e20) != e23
| ~ spl42_94
| spl42_140
| ~ spl42_279
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4104,f1931]) ).
fof(f4104,plain,
( op2(e20,e20) != h3(e13)
| ~ spl42_94
| spl42_140
| ~ spl42_302 ),
inference(forward_demodulation,[],[f4103,f1050]) ).
fof(f4103,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl42_140
| ~ spl42_302 ),
inference(forward_demodulation,[],[f1261,f2074]) ).
fof(f1261,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_140 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1259,plain,
( spl42_140
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_140])]) ).
fof(f4100,plain,
( ~ spl42_158
| ~ spl42_330
| spl42_338 ),
inference(avatar_split_clause,[],[f4078,f2457,f2357,f1339]) ).
fof(f4078,plain,
( e20 != op2(e20,e23)
| ~ spl42_330
| spl42_338 ),
inference(forward_demodulation,[],[f2459,f2358]) ).
fof(f4089,plain,
( ~ spl42_38
| ~ spl42_68
| ~ spl42_77
| spl42_163 ),
inference(avatar_contradiction_clause,[],[f4088]) ).
fof(f4088,plain,
( $false
| ~ spl42_38
| ~ spl42_68
| ~ spl42_77
| spl42_163 ),
inference(subsumption_resolution,[],[f4087,f933]) ).
fof(f4087,plain,
( e21 != op2(e21,e21)
| ~ spl42_38
| ~ spl42_77
| spl42_163 ),
inference(backward_demodulation,[],[f3825,f796]) ).
fof(f3825,plain,
( h1(e11) != op2(h1(e11),h1(e11))
| ~ spl42_77
| spl42_163 ),
inference(backward_demodulation,[],[f1363,f973]) ).
fof(f1363,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl42_163 ),
inference(avatar_component_clause,[],[f1361]) ).
fof(f1361,plain,
( spl42_163
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_163])]) ).
fof(f4086,plain,
( ~ spl42_242
| ~ spl42_273 ),
inference(avatar_contradiction_clause,[],[f4085]) ).
fof(f4085,plain,
( $false
| ~ spl42_242
| ~ spl42_273 ),
inference(subsumption_resolution,[],[f4084,f1731]) ).
fof(f4084,plain,
( e22 != op2(e22,e21)
| ~ spl42_273 ),
inference(forward_demodulation,[],[f391,f1887]) ).
fof(f1887,plain,
( e22 = op2(e22,e23)
| ~ spl42_273 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1886,plain,
( spl42_273
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_273])]) ).
fof(f391,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f4077,plain,
( spl42_38
| ~ spl42_114
| ~ spl42_330 ),
inference(avatar_split_clause,[],[f4076,f2357,f1140,f795]) ).
fof(f4076,plain,
( e21 = h1(e11)
| ~ spl42_114
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4075,f1142]) ).
fof(f4075,plain,
( op2(e23,e23) = h1(e11)
| ~ spl42_330 ),
inference(forward_demodulation,[],[f2451,f2358]) ).
fof(f2451,plain,
h1(e11) = op2(h1(e13),h1(e13)),
inference(forward_demodulation,[],[f207,f206]) ).
fof(f207,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f4053,plain,
( spl42_322
| ~ spl42_197
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f4052,f1758,f1512,f2267]) ).
fof(f4052,plain,
( e23 = h4(e10)
| ~ spl42_197
| ~ spl42_248 ),
inference(forward_demodulation,[],[f3289,f1514]) ).
fof(f4042,plain,
( spl42_333
| ~ spl42_301
| ~ spl42_330 ),
inference(avatar_split_clause,[],[f4041,f2357,f2068,f2402]) ).
fof(f4041,plain,
( e22 = h1(e10)
| ~ spl42_301
| ~ spl42_330 ),
inference(forward_demodulation,[],[f4040,f2070]) ).
fof(f4040,plain,
( op2(e23,e20) = h1(e10)
| ~ spl42_330 ),
inference(backward_demodulation,[],[f2311,f2358]) ).
fof(f2311,plain,
h1(e10) = op2(h1(e13),e20),
inference(backward_demodulation,[],[f204,f206]) ).
fof(f204,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f4023,plain,
( spl42_147
| ~ spl42_280
| ~ spl42_305 ),
inference(avatar_split_clause,[],[f3906,f2090,f1934,f1288]) ).
fof(f1934,plain,
( spl42_280
<=> e22 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_280])]) ).
fof(f2090,plain,
( spl42_305
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_305])]) ).
fof(f3906,plain,
( e21 = op2(e22,e22)
| ~ spl42_280
| ~ spl42_305 ),
inference(backward_demodulation,[],[f3836,f1935]) ).
fof(f1935,plain,
( e22 = h2(e13)
| ~ spl42_280 ),
inference(avatar_component_clause,[],[f1934]) ).
fof(f3836,plain,
( e21 = op2(h2(e13),h2(e13))
| ~ spl42_305 ),
inference(forward_demodulation,[],[f2253,f2091]) ).
fof(f2091,plain,
( e21 = h2(e11)
| ~ spl42_305 ),
inference(avatar_component_clause,[],[f2090]) ).
fof(f2253,plain,
h2(e11) = op2(h2(e13),h2(e13)),
inference(forward_demodulation,[],[f215,f217]) ).
fof(f217,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e13)
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e11) = op2(op2(e21,e21),op2(e21,e21))
& e21 = h2(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f215,plain,
h2(e11) = op2(op2(e21,e21),op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f4018,plain,
( ~ spl42_116
| spl42_133
| ~ spl42_250
| ~ spl42_302
| ~ spl42_307 ),
inference(avatar_contradiction_clause,[],[f4017]) ).
fof(f4017,plain,
( $false
| ~ spl42_116
| spl42_133
| ~ spl42_250
| ~ spl42_302
| ~ spl42_307 ),
inference(subsumption_resolution,[],[f4016,f1152]) ).
fof(f4016,plain,
( e20 != op2(e21,e20)
| spl42_133
| ~ spl42_250
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f4015,f2074]) ).
fof(f4015,plain,
( op2(e21,e20) != h3(e10)
| spl42_133
| ~ spl42_250
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f3564,f1770]) ).
fof(f3564,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl42_133
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f3563,f2112]) ).
fof(f3563,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl42_133
| ~ spl42_302 ),
inference(forward_demodulation,[],[f1233,f2074]) ).
fof(f1233,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl42_133 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1231,plain,
( spl42_133
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_133])]) ).
fof(f4009,plain,
( ~ spl42_169
| ~ spl42_301 ),
inference(avatar_split_clause,[],[f4008,f2068,f1385]) ).
fof(f1385,plain,
( spl42_169
<=> e22 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_169])]) ).
fof(f4008,plain,
( e22 != h1(e13)
| ~ spl42_301 ),
inference(forward_demodulation,[],[f2310,f2070]) ).
fof(f2310,plain,
op2(e23,e20) != h1(e13),
inference(backward_demodulation,[],[f392,f206]) ).
fof(f392,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f4001,plain,
( spl42_109
| ~ spl42_68
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f4000,f1758,f931,f1118]) ).
fof(f4000,plain,
( e21 = h4(e11)
| ~ spl42_68
| ~ spl42_248 ),
inference(forward_demodulation,[],[f3344,f933]) ).
fof(f3344,plain,
( op2(e21,e21) = h4(e11)
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2307,f1759]) ).
fof(f2307,plain,
h4(e11) = op2(h4(e13),h4(e13)),
inference(backward_demodulation,[],[f499,f498]) ).
fof(f499,plain,
h4(e11) = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f17]) ).
fof(f3999,plain,
( ~ spl42_82
| ~ spl42_107
| spl42_245 ),
inference(avatar_contradiction_clause,[],[f3998]) ).
fof(f3998,plain,
( $false
| ~ spl42_82
| ~ spl42_107
| spl42_245 ),
inference(subsumption_resolution,[],[f3971,f1744]) ).
fof(f1744,plain,
( e23 != op2(e22,e20)
| spl42_245 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1743,plain,
( spl42_245
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_245])]) ).
fof(f3971,plain,
( e23 = op2(e22,e20)
| ~ spl42_82
| ~ spl42_107 ),
inference(forward_demodulation,[],[f1110,f995]) ).
fof(f1110,plain,
( e23 = op2(e22,op2(e22,e23))
| ~ spl42_107 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f1109,plain,
( spl42_107
<=> e23 = op2(e22,op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_107])]) ).
fof(f3986,plain,
( ~ spl42_242
| ~ spl42_280 ),
inference(avatar_split_clause,[],[f3985,f1934,f1729]) ).
fof(f3985,plain,
( e22 != op2(e22,e21)
| ~ spl42_280 ),
inference(forward_demodulation,[],[f2219,f1935]) ).
fof(f2219,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f362,f217]) ).
fof(f362,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3984,plain,
( ~ spl42_258
| ~ spl42_100 ),
inference(avatar_split_clause,[],[f3983,f1074,f1807]) ).
fof(f1807,plain,
( spl42_258
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_258])]) ).
fof(f3983,plain,
( e22 != op2(e21,e23)
| ~ spl42_100 ),
inference(forward_demodulation,[],[f351,f1076]) ).
fof(f351,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3941,plain,
( ~ spl42_55
| spl42_161 ),
inference(avatar_contradiction_clause,[],[f3940]) ).
fof(f3940,plain,
( $false
| ~ spl42_55
| spl42_161 ),
inference(subsumption_resolution,[],[f3939,f874]) ).
fof(f874,plain,
( e23 = op2(e20,e23)
| ~ spl42_55 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f872,plain,
( spl42_55
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_55])]) ).
fof(f3939,plain,
( e23 != op2(e20,e23)
| ~ spl42_55
| spl42_161 ),
inference(forward_demodulation,[],[f1354,f874]) ).
fof(f1354,plain,
( e23 != op2(e20,op2(e20,e23))
| spl42_161 ),
inference(avatar_component_clause,[],[f1352]) ).
fof(f1352,plain,
( spl42_161
<=> e23 = op2(e20,op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_161])]) ).
fof(f3931,plain,
( ~ spl42_69
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f3320,f1758,f935]) ).
fof(f935,plain,
( spl42_69
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_69])]) ).
fof(f3320,plain,
( e21 != op2(e21,e23)
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2303,f1759]) ).
fof(f2303,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[],[f370,f498]) ).
fof(f370,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3930,plain,
( ~ spl42_118
| ~ spl42_234 ),
inference(avatar_split_clause,[],[f3929,f1692,f1161]) ).
fof(f1161,plain,
( spl42_118
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_118])]) ).
fof(f3929,plain,
( e11 != op1(e11,e10)
| ~ spl42_234 ),
inference(forward_demodulation,[],[f154,f1694]) ).
fof(f154,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3902,plain,
( ~ spl42_120
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f3901,f1314,f1169]) ).
fof(f3901,plain,
( e10 != op1(e10,e10)
| ~ spl42_153 ),
inference(forward_demodulation,[],[f124,f1316]) ).
fof(f124,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3888,plain,
( ~ spl42_280
| ~ spl42_258 ),
inference(avatar_split_clause,[],[f3882,f1807,f1934]) ).
fof(f3882,plain,
( e22 != h2(e13)
| ~ spl42_258 ),
inference(backward_demodulation,[],[f2243,f1809]) ).
fof(f1809,plain,
( e22 = op2(e21,e23)
| ~ spl42_258 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f2243,plain,
op2(e21,e23) != h2(e13),
inference(forward_demodulation,[],[f386,f217]) ).
fof(f386,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3887,plain,
( ~ spl42_67
| ~ spl42_122
| ~ spl42_258 ),
inference(avatar_contradiction_clause,[],[f3886]) ).
fof(f3886,plain,
( $false
| ~ spl42_67
| ~ spl42_122
| ~ spl42_258 ),
inference(subsumption_resolution,[],[f3885,f509]) ).
fof(f3885,plain,
( e21 = e23
| ~ spl42_67
| ~ spl42_122
| ~ spl42_258 ),
inference(forward_demodulation,[],[f3883,f929]) ).
fof(f929,plain,
( e21 = op2(e21,e22)
| ~ spl42_67 ),
inference(avatar_component_clause,[],[f927]) ).
fof(f927,plain,
( spl42_67
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_67])]) ).
fof(f3883,plain,
( e23 = op2(e21,e22)
| ~ spl42_122
| ~ spl42_258 ),
inference(backward_demodulation,[],[f1179,f1809]) ).
fof(f1179,plain,
( e23 = op2(e21,op2(e21,e23))
| ~ spl42_122 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f1178,plain,
( spl42_122
<=> e23 = op2(e21,op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_122])]) ).
fof(f3874,plain,
( ~ spl42_282
| ~ spl42_145 ),
inference(avatar_split_clause,[],[f3873,f1280,f1947]) ).
fof(f1947,plain,
( spl42_282
<=> e20 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_282])]) ).
fof(f3873,plain,
( e20 != h2(e13)
| ~ spl42_145 ),
inference(forward_demodulation,[],[f2299,f1281]) ).
fof(f2299,plain,
op2(e20,e21) != h2(e13),
inference(forward_demodulation,[],[f355,f217]) ).
fof(f355,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3848,plain,
( ~ spl42_43
| ~ spl42_78 ),
inference(avatar_split_clause,[],[f3847,f976,f818]) ).
fof(f818,plain,
( spl42_43
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_43])]) ).
fof(f3847,plain,
( e12 != op1(e12,e10)
| ~ spl42_78 ),
inference(forward_demodulation,[],[f163,f978]) ).
fof(f163,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3831,plain,
( ~ spl42_157
| spl42_265
| ~ spl42_301 ),
inference(avatar_contradiction_clause,[],[f3830]) ).
fof(f3830,plain,
( $false
| ~ spl42_157
| spl42_265
| ~ spl42_301 ),
inference(subsumption_resolution,[],[f3829,f1335]) ).
fof(f3829,plain,
( e20 != op2(e23,e22)
| spl42_265
| ~ spl42_301 ),
inference(backward_demodulation,[],[f1848,f2070]) ).
fof(f1848,plain,
( e20 != op2(e23,op2(e23,e20))
| spl42_265 ),
inference(avatar_component_clause,[],[f1846]) ).
fof(f1846,plain,
( spl42_265
<=> e20 = op2(e23,op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_265])]) ).
fof(f3827,plain,
( ~ spl42_59
| ~ spl42_77 ),
inference(avatar_split_clause,[],[f3826,f971,f890]) ).
fof(f3826,plain,
( e11 != op1(e12,e11)
| ~ spl42_77 ),
inference(backward_demodulation,[],[f171,f973]) ).
fof(f171,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3819,plain,
( ~ spl42_191
| ~ spl42_153 ),
inference(avatar_split_clause,[],[f3817,f1314,f1485]) ).
fof(f1485,plain,
( spl42_191
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_191])]) ).
fof(f3817,plain,
( e10 != op1(e10,e13)
| ~ spl42_153 ),
inference(backward_demodulation,[],[f149,f1316]) ).
fof(f149,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3801,plain,
( ~ spl42_9
| ~ spl42_206
| spl42_311 ),
inference(avatar_contradiction_clause,[],[f3800]) ).
fof(f3800,plain,
( $false
| ~ spl42_9
| ~ spl42_206
| spl42_311 ),
inference(subsumption_resolution,[],[f3799,f2135]) ).
fof(f3799,plain,
( e20 = e23
| ~ spl42_9
| ~ spl42_206 ),
inference(backward_demodulation,[],[f1557,f675]) ).
fof(f675,plain,
( e20 = op2(e22,e22)
| ~ spl42_9 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl42_9
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_9])]) ).
fof(f3797,plain,
( ~ spl42_99
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f3715,f1065,f1069]) ).
fof(f3715,plain,
( e12 != op1(e11,e11)
| ~ spl42_98 ),
inference(forward_demodulation,[],[f155,f1067]) ).
fof(f155,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3790,plain,
( ~ spl42_152
| spl42_208
| ~ spl42_253 ),
inference(avatar_split_clause,[],[f3504,f1783,f1566,f1310]) ).
fof(f3504,plain,
( e12 != op1(e10,e11)
| spl42_208
| ~ spl42_253 ),
inference(forward_demodulation,[],[f1568,f1785]) ).
fof(f3789,plain,
( ~ spl42_252
| ~ spl42_248 ),
inference(avatar_split_clause,[],[f3734,f1758,f1777]) ).
fof(f1777,plain,
( spl42_252
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f3734,plain,
( e21 != op2(e23,e20)
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2301,f1759]) ).
fof(f2301,plain,
op2(e23,e20) != h4(e13),
inference(backward_demodulation,[],[f348,f498]) ).
fof(f348,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3788,plain,
( ~ spl42_151
| ~ spl42_2 ),
inference(avatar_split_clause,[],[f3614,f643,f1306]) ).
fof(f1306,plain,
( spl42_151
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_151])]) ).
fof(f3614,plain,
( e13 != op1(e10,e11)
| ~ spl42_2 ),
inference(forward_demodulation,[],[f153,f645]) ).
fof(f153,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3785,plain,
( ~ spl42_197
| ~ spl42_243 ),
inference(avatar_split_clause,[],[f3784,f1735,f1512]) ).
fof(f1735,plain,
( spl42_243
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_243])]) ).
fof(f3784,plain,
( e23 != op2(e21,e23)
| ~ spl42_243 ),
inference(forward_demodulation,[],[f353,f1737]) ).
fof(f1737,plain,
( e23 = op2(e21,e20)
| ~ spl42_243 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f353,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3782,plain,
( ~ spl42_34
| ~ spl42_67 ),
inference(avatar_split_clause,[],[f3781,f927,f777]) ).
fof(f777,plain,
( spl42_34
<=> e21 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_34])]) ).
fof(f3781,plain,
( e21 != h2(e13)
| ~ spl42_67 ),
inference(forward_demodulation,[],[f2468,f929]) ).
fof(f2468,plain,
op2(e21,e22) != h2(e13),
inference(forward_demodulation,[],[f368,f217]) ).
fof(f368,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3780,plain,
( ~ spl42_76
| ~ spl42_253 ),
inference(avatar_split_clause,[],[f3339,f1783,f967]) ).
fof(f967,plain,
( spl42_76
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_76])]) ).
fof(f3339,plain,
( op1(e10,e10) != e11
| ~ spl42_253 ),
inference(forward_demodulation,[],[f140,f1785]) ).
fof(f3699,plain,
( ~ spl42_2
| ~ spl42_75
| spl42_292 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3698,plain,
( $false
| ~ spl42_2
| ~ spl42_75
| spl42_292 ),
inference(subsumption_resolution,[],[f3697,f645]) ).
fof(f3697,plain,
( e13 != op1(e13,e11)
| ~ spl42_75
| spl42_292 ),
inference(forward_demodulation,[],[f2002,f965]) ).
fof(f2002,plain,
( e13 != op1(e13,op1(e13,e13))
| spl42_292 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2000,plain,
( spl42_292
<=> e13 = op1(e13,op1(e13,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_292])]) ).
fof(f3689,plain,
( ~ spl42_112
| ~ spl42_114 ),
inference(avatar_contradiction_clause,[],[f3688]) ).
fof(f3688,plain,
( $false
| ~ spl42_112
| ~ spl42_114 ),
inference(subsumption_resolution,[],[f3687,f509]) ).
fof(f3687,plain,
( e21 = e23
| ~ spl42_112
| ~ spl42_114 ),
inference(forward_demodulation,[],[f1134,f1142]) ).
fof(f1134,plain,
( e23 = op2(e23,e23)
| ~ spl42_112 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl42_112
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_112])]) ).
fof(f3653,plain,
( ~ spl42_332
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f3652,f963,f2377]) ).
fof(f2377,plain,
( spl42_332
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_332])]) ).
fof(f3652,plain,
( e11 != op1(e12,e13)
| ~ spl42_75 ),
inference(forward_demodulation,[],[f147,f965]) ).
fof(f147,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3625,plain,
( ~ spl42_78
| ~ spl42_80 ),
inference(avatar_contradiction_clause,[],[f3624]) ).
fof(f3624,plain,
( $false
| ~ spl42_78
| ~ spl42_80 ),
inference(subsumption_resolution,[],[f3623,f212]) ).
fof(f212,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3623,plain,
( e12 = e13
| ~ spl42_78
| ~ spl42_80 ),
inference(backward_demodulation,[],[f986,f978]) ).
fof(f3612,plain,
( ~ spl42_118
| ~ spl42_119
| spl42_193 ),
inference(avatar_contradiction_clause,[],[f3611]) ).
fof(f3611,plain,
( $false
| ~ spl42_118
| ~ spl42_119
| spl42_193 ),
inference(subsumption_resolution,[],[f3610,f1167]) ).
fof(f3610,plain,
( e10 != op1(e11,e11)
| ~ spl42_118
| spl42_193 ),
inference(forward_demodulation,[],[f1496,f1162]) ).
fof(f1162,plain,
( e11 = op1(e11,e10)
| ~ spl42_118 ),
inference(avatar_component_clause,[],[f1161]) ).
fof(f1496,plain,
( e10 != op1(e11,op1(e11,e10))
| spl42_193 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1494,plain,
( spl42_193
<=> e10 = op1(e11,op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).
fof(f3608,plain,
( ~ spl42_299
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f3607,f903,f2048]) ).
fof(f2048,plain,
( spl42_299
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_299])]) ).
fof(f3607,plain,
( e13 != op1(e12,e13)
| ~ spl42_62 ),
inference(forward_demodulation,[],[f162,f905]) ).
fof(f162,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3596,plain,
( ~ spl42_313
| ~ spl42_157 ),
inference(avatar_split_clause,[],[f3366,f1333,f2156]) ).
fof(f2156,plain,
( spl42_313
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_313])]) ).
fof(f3366,plain,
( e20 != op2(e20,e22)
| ~ spl42_157 ),
inference(forward_demodulation,[],[f352,f1335]) ).
fof(f352,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3592,plain,
( ~ spl42_275
| ~ spl42_279 ),
inference(avatar_contradiction_clause,[],[f3591]) ).
fof(f3591,plain,
( $false
| ~ spl42_275
| ~ spl42_279 ),
inference(subsumption_resolution,[],[f3590,f507]) ).
fof(f507,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3590,plain,
( e22 = e23
| ~ spl42_275
| ~ spl42_279 ),
inference(backward_demodulation,[],[f1931,f1905]) ).
fof(f1905,plain,
( e22 = h3(e13)
| ~ spl42_275 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f1903,plain,
( spl42_275
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_275])]) ).
fof(f3586,plain,
( ~ spl42_86
| ~ spl42_248 ),
inference(avatar_contradiction_clause,[],[f3585]) ).
fof(f3585,plain,
( $false
| ~ spl42_86
| ~ spl42_248 ),
inference(subsumption_resolution,[],[f3584,f1012]) ).
fof(f1012,plain,
( e21 = op2(e23,e21)
| ~ spl42_86 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1010,plain,
( spl42_86
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f3584,plain,
( e21 != op2(e23,e21)
| ~ spl42_248 ),
inference(forward_demodulation,[],[f2302,f1759]) ).
fof(f2302,plain,
op2(e23,e21) != h4(e13),
inference(backward_demodulation,[],[f363,f498]) ).
fof(f363,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3550,plain,
( spl42_169
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3549,plain,
( $false
| spl42_169
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f3548,f1387]) ).
fof(f1387,plain,
( e22 != h1(e13)
| spl42_169 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f3548,plain,
( e22 = h1(e13)
| ~ spl42_238 ),
inference(forward_demodulation,[],[f206,f1713]) ).
fof(f1713,plain,
( op2(e20,e20) = e22
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl42_238
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f3537,plain,
( ~ spl42_59
| ~ spl42_234 ),
inference(avatar_contradiction_clause,[],[f3536]) ).
fof(f3536,plain,
( $false
| ~ spl42_59
| ~ spl42_234 ),
inference(subsumption_resolution,[],[f3535,f1694]) ).
fof(f3535,plain,
( e11 != op1(e12,e10)
| ~ spl42_59 ),
inference(forward_demodulation,[],[f160,f892]) ).
fof(f160,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3511,plain,
( ~ spl42_250
| ~ spl42_119 ),
inference(avatar_split_clause,[],[f3510,f1165,f1768]) ).
fof(f3510,plain,
( e10 != op1(e11,e10)
| ~ spl42_119 ),
inference(forward_demodulation,[],[f138,f1167]) ).
fof(f138,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3490,plain,
( ~ spl42_157
| spl42_207
| ~ spl42_300 ),
inference(avatar_contradiction_clause,[],[f3489]) ).
fof(f3489,plain,
( $false
| ~ spl42_157
| spl42_207
| ~ spl42_300 ),
inference(subsumption_resolution,[],[f3488,f1563]) ).
fof(f3488,plain,
( e20 = e22
| ~ spl42_157
| ~ spl42_300 ),
inference(forward_demodulation,[],[f2058,f1335]) ).
fof(f2058,plain,
( e22 = op2(e23,e22)
| ~ spl42_300 ),
inference(avatar_component_clause,[],[f2056]) ).
fof(f2056,plain,
( spl42_300
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_300])]) ).
fof(f3478,plain,
( ~ spl42_303
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f3371,f903,f2078]) ).
fof(f2078,plain,
( spl42_303
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_303])]) ).
fof(f3371,plain,
( e13 != op1(e11,e12)
| ~ spl42_62 ),
inference(forward_demodulation,[],[f137,f905]) ).
fof(f137,plain,
op1(e11,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3477,plain,
( ~ spl42_259
| ~ spl42_264 ),
inference(avatar_contradiction_clause,[],[f3476]) ).
fof(f3476,plain,
( $false
| ~ spl42_259
| ~ spl42_264 ),
inference(subsumption_resolution,[],[f3475,f208]) ).
fof(f208,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f3475,plain,
( e10 = e12
| ~ spl42_259
| ~ spl42_264 ),
inference(forward_demodulation,[],[f1840,f1814]) ).
fof(f1840,plain,
( e12 = op1(e13,e12)
| ~ spl42_264 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1838,plain,
( spl42_264
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_264])]) ).
fof(f3441,plain,
( spl42_42
| ~ spl42_120 ),
inference(avatar_contradiction_clause,[],[f3440]) ).
fof(f3440,plain,
( $false
| spl42_42
| ~ spl42_120 ),
inference(subsumption_resolution,[],[f3439,f1171]) ).
fof(f1171,plain,
( e10 = op1(e10,e10)
| ~ spl42_120 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f3439,plain,
( e10 != op1(e10,e10)
| spl42_42
| ~ spl42_120 ),
inference(forward_demodulation,[],[f815,f1171]) ).
fof(f815,plain,
( e10 != op1(e10,op1(e10,e10))
| spl42_42 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f3437,plain,
( ~ spl42_243
| spl42_122
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f3436,f1343,f1178,f1735]) ).
fof(f3436,plain,
( e23 != op2(e21,e20)
| spl42_122
| ~ spl42_159 ),
inference(forward_demodulation,[],[f1180,f1345]) ).
fof(f1180,plain,
( e23 != op2(e21,op2(e21,e23))
| spl42_122 ),
inference(avatar_component_clause,[],[f1178]) ).
fof(f3420,plain,
( ~ spl42_204
| ~ spl42_244 ),
inference(avatar_split_clause,[],[f3419,f1739,f1546]) ).
fof(f1739,plain,
( spl42_244
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).
fof(f3419,plain,
( e23 != op2(e23,e21)
| ~ spl42_244 ),
inference(forward_demodulation,[],[f371,f1741]) ).
fof(f1741,plain,
( e23 = op2(e23,e20)
| ~ spl42_244 ),
inference(avatar_component_clause,[],[f1739]) ).
fof(f3412,plain,
( ~ spl42_8
| spl42_207
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f3411]) ).
fof(f3411,plain,
( $false
| ~ spl42_8
| spl42_207
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f3410,f1563]) ).
fof(f3410,plain,
( e20 = e22
| ~ spl42_8
| ~ spl42_238 ),
inference(forward_demodulation,[],[f1713,f671]) ).
fof(f3388,plain,
( spl42_107
| ~ spl42_206
| ~ spl42_273 ),
inference(avatar_contradiction_clause,[],[f3387]) ).
fof(f3387,plain,
( $false
| spl42_107
| ~ spl42_206
| ~ spl42_273 ),
inference(subsumption_resolution,[],[f3386,f1557]) ).
fof(f3386,plain,
( e23 != op2(e22,e22)
| spl42_107
| ~ spl42_273 ),
inference(backward_demodulation,[],[f1111,f1887]) ).
fof(f1111,plain,
( e23 != op2(e22,op2(e22,e23))
| spl42_107 ),
inference(avatar_component_clause,[],[f1109]) ).
fof(f3378,plain,
( ~ spl42_156
| ~ spl42_157 ),
inference(avatar_contradiction_clause,[],[f3377]) ).
fof(f3377,plain,
( $false
| ~ spl42_156
| ~ spl42_157 ),
inference(subsumption_resolution,[],[f3376,f1331]) ).
fof(f1331,plain,
( e20 = op2(e23,e21)
| ~ spl42_156 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl42_156
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f3376,plain,
( e20 != op2(e23,e21)
| ~ spl42_157 ),
inference(forward_demodulation,[],[f350,f1335]) ).
fof(f350,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3325,plain,
( ~ spl42_118
| ~ spl42_250 ),
inference(avatar_contradiction_clause,[],[f3324]) ).
fof(f3324,plain,
( $false
| ~ spl42_118
| ~ spl42_250 ),
inference(subsumption_resolution,[],[f3323,f210]) ).
fof(f3323,plain,
( e10 = e11
| ~ spl42_118
| ~ spl42_250 ),
inference(forward_demodulation,[],[f1162,f1770]) ).
fof(f3301,plain,
( ~ spl42_241
| ~ spl42_250 ),
inference(avatar_split_clause,[],[f3300,f1768,f1724]) ).
fof(f3300,plain,
( e10 != op1(e12,e10)
| ~ spl42_250 ),
inference(forward_demodulation,[],[f154,f1770]) ).
fof(f3261,plain,
( ~ spl42_304
| spl42_126
| ~ spl42_253
| ~ spl42_302
| ~ spl42_307 ),
inference(avatar_split_clause,[],[f3260,f2111,f2073,f1783,f1203,f2085]) ).
fof(f1203,plain,
( spl42_126
<=> h3(op1(e10,e12)) = op2(h3(e10),e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_126])]) ).
fof(f3260,plain,
( e21 != op2(e20,e22)
| spl42_126
| ~ spl42_253
| ~ spl42_302
| ~ spl42_307 ),
inference(forward_demodulation,[],[f3259,f2112]) ).
fof(f3259,plain,
( op2(e20,e22) != h3(e11)
| spl42_126
| ~ spl42_253
| ~ spl42_302 ),
inference(forward_demodulation,[],[f2701,f1785]) ).
fof(f2701,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl42_126
| ~ spl42_302 ),
inference(forward_demodulation,[],[f1205,f2074]) ).
fof(f1205,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl42_126 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f3240,plain,
( spl42_305
| ~ spl42_114
| ~ spl42_272 ),
inference(avatar_split_clause,[],[f3239,f1882,f1140,f2090]) ).
fof(f1882,plain,
( spl42_272
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_272])]) ).
fof(f3239,plain,
( e21 = h2(e11)
| ~ spl42_114
| ~ spl42_272 ),
inference(forward_demodulation,[],[f3234,f1142]) ).
fof(f3234,plain,
( op2(e23,e23) = h2(e11)
| ~ spl42_272 ),
inference(backward_demodulation,[],[f2253,f1884]) ).
fof(f1884,plain,
( e23 = h2(e13)
| ~ spl42_272 ),
inference(avatar_component_clause,[],[f1882]) ).
fof(f3230,plain,
( ~ spl42_98
| spl42_295 ),
inference(avatar_contradiction_clause,[],[f3229]) ).
fof(f3229,plain,
( $false
| ~ spl42_98
| spl42_295 ),
inference(subsumption_resolution,[],[f3228,f1067]) ).
fof(f3228,plain,
( e12 != op1(e11,e12)
| ~ spl42_98
| spl42_295 ),
inference(forward_demodulation,[],[f2025,f1067]) ).
fof(f2025,plain,
( e12 != op1(e11,op1(e11,e12))
| spl42_295 ),
inference(avatar_component_clause,[],[f2023]) ).
fof(f2023,plain,
( spl42_295
<=> e12 = op1(e11,op1(e11,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_295])]) ).
fof(f3226,plain,
( ~ spl42_196
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3117,f1929,f1508]) ).
fof(f1508,plain,
( spl42_196
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_196])]) ).
fof(f3117,plain,
( e23 != op2(e22,e23)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f2342,f1931]) ).
fof(f2342,plain,
op2(e22,e23) != h3(e13),
inference(forward_demodulation,[],[f372,f396]) ).
fof(f372,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3225,plain,
( ~ spl42_270
| ~ spl42_157 ),
inference(avatar_split_clause,[],[f3224,f1333,f1871]) ).
fof(f1871,plain,
( spl42_270
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_270])]) ).
fof(f3224,plain,
( e20 != op2(e21,e22)
| ~ spl42_157 ),
inference(backward_demodulation,[],[f361,f1335]) ).
fof(f361,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3207,plain,
( spl42_157
| ~ spl42_279 ),
inference(avatar_contradiction_clause,[],[f3206]) ).
fof(f3206,plain,
( $false
| spl42_157
| ~ spl42_279 ),
inference(subsumption_resolution,[],[f3205,f1334]) ).
fof(f1334,plain,
( e20 != op2(e23,e22)
| spl42_157 ),
inference(avatar_component_clause,[],[f1333]) ).
fof(f3205,plain,
( e20 = op2(e23,e22)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1897,f1931]) ).
fof(f1897,plain,
e20 = op2(h3(e13),e22),
inference(backward_demodulation,[],[f399,f396]) ).
fof(f399,plain,
e20 = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e21 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e22),e22)
& e23 = op2(e22,e22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f3200,plain,
( ~ spl42_113
| ~ spl42_114 ),
inference(avatar_contradiction_clause,[],[f3199]) ).
fof(f3199,plain,
( $false
| ~ spl42_113
| ~ spl42_114 ),
inference(subsumption_resolution,[],[f3198,f504]) ).
fof(f3198,plain,
( e21 = e22
| ~ spl42_113
| ~ spl42_114 ),
inference(forward_demodulation,[],[f1138,f1142]) ).
fof(f1138,plain,
( e22 = op2(e23,e23)
| ~ spl42_113 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1136,plain,
( spl42_113
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_113])]) ).
fof(f3193,plain,
( ~ spl42_77
| ~ spl42_183 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| ~ spl42_77
| ~ spl42_183 ),
inference(subsumption_resolution,[],[f2961,f973]) ).
fof(f2961,plain,
( e11 != op1(e11,e11)
| ~ spl42_183 ),
inference(forward_demodulation,[],[f155,f1449]) ).
fof(f3168,plain,
( ~ spl42_43
| ~ spl42_234 ),
inference(avatar_contradiction_clause,[],[f3167]) ).
fof(f3167,plain,
( $false
| ~ spl42_43
| ~ spl42_234 ),
inference(subsumption_resolution,[],[f3166,f211]) ).
fof(f3166,plain,
( e11 = e12
| ~ spl42_43
| ~ spl42_234 ),
inference(backward_demodulation,[],[f820,f1694]) ).
fof(f820,plain,
( e12 = op1(e12,e10)
| ~ spl42_43 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f3163,plain,
( ~ spl42_304
| ~ spl42_85 ),
inference(avatar_split_clause,[],[f3162,f1006,f2085]) ).
fof(f1006,plain,
( spl42_85
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f3162,plain,
( e21 != op2(e20,e22)
| ~ spl42_85 ),
inference(backward_demodulation,[],[f354,f1008]) ).
fof(f1008,plain,
( e21 = op2(e20,e21)
| ~ spl42_85 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f354,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3149,plain,
( ~ spl42_82
| ~ spl42_83 ),
inference(avatar_contradiction_clause,[],[f3148]) ).
fof(f3148,plain,
( $false
| ~ spl42_82
| ~ spl42_83 ),
inference(subsumption_resolution,[],[f3147,f999]) ).
fof(f999,plain,
( e20 = op2(e22,e20)
| ~ spl42_83 ),
inference(avatar_component_clause,[],[f997]) ).
fof(f997,plain,
( spl42_83
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f3147,plain,
( e20 != op2(e22,e20)
| ~ spl42_82 ),
inference(forward_demodulation,[],[f381,f995]) ).
fof(f381,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3146,plain,
( ~ spl42_215
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f3145,f1812,f1610]) ).
fof(f1610,plain,
( spl42_215
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_215])]) ).
fof(f3145,plain,
( e10 != op1(e13,e11)
| ~ spl42_259 ),
inference(forward_demodulation,[],[f131,f1814]) ).
fof(f131,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f3136,plain,
( ~ spl42_74
| ~ spl42_242 ),
inference(avatar_contradiction_clause,[],[f3135]) ).
fof(f3135,plain,
( $false
| ~ spl42_74
| ~ spl42_242 ),
inference(subsumption_resolution,[],[f3134,f504]) ).
fof(f3134,plain,
( e21 = e22
| ~ spl42_74
| ~ spl42_242 ),
inference(forward_demodulation,[],[f1731,f960]) ).
fof(f960,plain,
( e21 = op2(e22,e21)
| ~ spl42_74 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f958,plain,
( spl42_74
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_74])]) ).
fof(f3116,plain,
( spl42_248
| ~ spl42_114 ),
inference(avatar_split_clause,[],[f3115,f1140,f1758]) ).
fof(f3115,plain,
( e21 = h4(e13)
| ~ spl42_114 ),
inference(forward_demodulation,[],[f498,f1142]) ).
fof(f3107,plain,
( ~ spl42_55
| ~ spl42_158
| spl42_311 ),
inference(avatar_contradiction_clause,[],[f3106]) ).
fof(f3106,plain,
( $false
| ~ spl42_55
| ~ spl42_158
| spl42_311 ),
inference(subsumption_resolution,[],[f3105,f2135]) ).
fof(f3105,plain,
( e20 = e23
| ~ spl42_55
| ~ spl42_158 ),
inference(backward_demodulation,[],[f874,f1341]) ).
fof(f3084,plain,
( ~ spl42_214
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f3083,f963,f1606]) ).
fof(f1606,plain,
( spl42_214
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_214])]) ).
fof(f3083,plain,
( e11 != op1(e13,e11)
| ~ spl42_75 ),
inference(forward_demodulation,[],[f130,f965]) ).
fof(f130,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3082,plain,
( ~ spl42_99
| ~ spl42_183
| spl42_295 ),
inference(avatar_contradiction_clause,[],[f3081]) ).
fof(f3081,plain,
( $false
| ~ spl42_99
| ~ spl42_183
| spl42_295 ),
inference(subsumption_resolution,[],[f2925,f1071]) ).
fof(f1071,plain,
( e12 = op1(e11,e11)
| ~ spl42_99 ),
inference(avatar_component_clause,[],[f1069]) ).
fof(f2925,plain,
( e12 != op1(e11,e11)
| ~ spl42_183
| spl42_295 ),
inference(backward_demodulation,[],[f2025,f1449]) ).
fof(f3069,plain,
( ~ spl42_198
| ~ spl42_206 ),
inference(avatar_contradiction_clause,[],[f3068]) ).
fof(f3068,plain,
( $false
| ~ spl42_198
| ~ spl42_206 ),
inference(subsumption_resolution,[],[f3067,f507]) ).
fof(f3067,plain,
( e22 = e23
| ~ spl42_198
| ~ spl42_206 ),
inference(backward_demodulation,[],[f1557,f1519]) ).
fof(f1519,plain,
( e22 = op2(e22,e22)
| ~ spl42_198 ),
inference(avatar_component_clause,[],[f1517]) ).
fof(f1517,plain,
( spl42_198
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_198])]) ).
fof(f3065,plain,
( ~ spl42_245
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3064,f1929,f1743]) ).
fof(f3064,plain,
( e23 != op2(e22,e20)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f2374,f1931]) ).
fof(f2374,plain,
op2(e22,e20) != h3(e13),
inference(forward_demodulation,[],[f359,f396]) ).
fof(f359,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3060,plain,
( ~ spl42_54
| spl42_330 ),
inference(avatar_contradiction_clause,[],[f3059]) ).
fof(f3059,plain,
( $false
| ~ spl42_54
| spl42_330 ),
inference(subsumption_resolution,[],[f3058,f2359]) ).
fof(f2359,plain,
( e23 != h1(e13)
| spl42_330 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f3058,plain,
( e23 = h1(e13)
| ~ spl42_54 ),
inference(forward_demodulation,[],[f206,f870]) ).
fof(f3043,plain,
( ~ spl42_248
| ~ spl42_251 ),
inference(avatar_split_clause,[],[f3041,f1773,f1758]) ).
fof(f1773,plain,
( spl42_251
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f3041,plain,
( e21 != h4(e13)
| ~ spl42_251 ),
inference(backward_demodulation,[],[f2305,f1775]) ).
fof(f1775,plain,
( e21 = op2(e23,e22)
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f2305,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f376,f498]) ).
fof(f376,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3038,plain,
( ~ spl42_53
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3037,f1929,f864]) ).
fof(f864,plain,
( spl42_53
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_53])]) ).
fof(f3037,plain,
( e23 != op2(e20,e22)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f2432,f1931]) ).
fof(f2432,plain,
op2(e20,e22) != h3(e13),
inference(forward_demodulation,[],[f360,f396]) ).
fof(f360,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3034,plain,
( ~ spl42_78
| ~ spl42_200 ),
inference(avatar_split_clause,[],[f3033,f1528,f976]) ).
fof(f3033,plain,
( e12 != op1(e13,e10)
| ~ spl42_200 ),
inference(forward_demodulation,[],[f141,f1530]) ).
fof(f141,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f3032,plain,
( ~ spl42_74
| spl42_262 ),
inference(avatar_contradiction_clause,[],[f3031]) ).
fof(f3031,plain,
( $false
| ~ spl42_74
| spl42_262 ),
inference(subsumption_resolution,[],[f3030,f960]) ).
fof(f3030,plain,
( e21 != op2(e22,e21)
| ~ spl42_74
| spl42_262 ),
inference(forward_demodulation,[],[f1829,f960]) ).
fof(f1829,plain,
( e21 != op2(e22,op2(e22,e21))
| spl42_262 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1827,plain,
( spl42_262
<=> e21 = op2(e22,op2(e22,e21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f3024,plain,
( ~ spl42_52
| ~ spl42_55 ),
inference(avatar_split_clause,[],[f2901,f872,f860]) ).
fof(f860,plain,
( spl42_52
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_52])]) ).
fof(f2901,plain,
( e23 != op2(e20,e21)
| ~ spl42_55 ),
inference(forward_demodulation,[],[f349,f874]) ).
fof(f349,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3023,plain,
( ~ spl42_271
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3022,f1929,f1875]) ).
fof(f1875,plain,
( spl42_271
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_271])]) ).
fof(f3022,plain,
( e23 != op2(e21,e22)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1898,f1931]) ).
fof(f1898,plain,
op2(e21,e22) != h3(e13),
inference(backward_demodulation,[],[f388,f396]) ).
fof(f388,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3019,plain,
( spl42_114
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f3018,f1929,f1140]) ).
fof(f3018,plain,
( e21 = op2(e23,e23)
| ~ spl42_279 ),
inference(forward_demodulation,[],[f2235,f1931]) ).
fof(f2235,plain,
e21 = op2(h3(e13),h3(e13)),
inference(forward_demodulation,[],[f400,f396]) ).
fof(f400,plain,
e21 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f3009,plain,
( ~ spl42_79
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f2897,f963,f980]) ).
fof(f980,plain,
( spl42_79
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_79])]) ).
fof(f2897,plain,
( e11 != op1(e13,e10)
| ~ spl42_75 ),
inference(forward_demodulation,[],[f168,f965]) ).
fof(f168,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2997,plain,
( spl42_122
| ~ spl42_197 ),
inference(avatar_contradiction_clause,[],[f2996]) ).
fof(f2996,plain,
( $false
| spl42_122
| ~ spl42_197 ),
inference(subsumption_resolution,[],[f2993,f1514]) ).
fof(f2993,plain,
( e23 != op2(e21,e23)
| spl42_122
| ~ spl42_197 ),
inference(backward_demodulation,[],[f1180,f1514]) ).
fof(f2991,plain,
( ~ spl42_204
| ~ spl42_235 ),
inference(avatar_contradiction_clause,[],[f2990]) ).
fof(f2990,plain,
( $false
| ~ spl42_204
| ~ spl42_235 ),
inference(subsumption_resolution,[],[f2989,f507]) ).
fof(f2989,plain,
( e22 = e23
| ~ spl42_204
| ~ spl42_235 ),
inference(forward_demodulation,[],[f1548,f1699]) ).
fof(f2973,plain,
( ~ spl42_2
| ~ spl42_200 ),
inference(avatar_contradiction_clause,[],[f2972]) ).
fof(f2972,plain,
( $false
| ~ spl42_2
| ~ spl42_200 ),
inference(subsumption_resolution,[],[f2971,f212]) ).
fof(f2971,plain,
( e12 = e13
| ~ spl42_2
| ~ spl42_200 ),
inference(backward_demodulation,[],[f645,f1530]) ).
fof(f2959,plain,
( ~ spl42_81
| ~ spl42_259 ),
inference(avatar_contradiction_clause,[],[f2958]) ).
fof(f2958,plain,
( $false
| ~ spl42_81
| ~ spl42_259 ),
inference(subsumption_resolution,[],[f2957,f990]) ).
fof(f990,plain,
( e10 = op1(e13,e10)
| ~ spl42_81 ),
inference(avatar_component_clause,[],[f988]) ).
fof(f988,plain,
( spl42_81
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f2957,plain,
( e10 != op1(e13,e10)
| ~ spl42_259 ),
inference(forward_demodulation,[],[f157,f1814]) ).
fof(f157,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2954,plain,
( ~ spl42_59
| spl42_188 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| ~ spl42_59
| spl42_188 ),
inference(subsumption_resolution,[],[f2952,f892]) ).
fof(f2952,plain,
( e11 != op1(e12,e11)
| ~ spl42_59
| spl42_188 ),
inference(backward_demodulation,[],[f1474,f892]) ).
fof(f1474,plain,
( e11 != op1(e12,op1(e12,e11))
| spl42_188 ),
inference(avatar_component_clause,[],[f1472]) ).
fof(f1472,plain,
( spl42_188
<=> e11 = op1(e12,op1(e12,e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f2949,plain,
( ~ spl42_100
| spl42_312 ),
inference(avatar_contradiction_clause,[],[f2948]) ).
fof(f2948,plain,
( $false
| ~ spl42_100
| spl42_312 ),
inference(subsumption_resolution,[],[f2947,f1076]) ).
fof(f2947,plain,
( e22 != op2(e21,e22)
| ~ spl42_100
| spl42_312 ),
inference(forward_demodulation,[],[f2142,f1076]) ).
fof(f2142,plain,
( e22 != op2(e21,op2(e21,e22))
| spl42_312 ),
inference(avatar_component_clause,[],[f2140]) ).
fof(f2140,plain,
( spl42_312
<=> e22 = op2(e21,op2(e21,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_312])]) ).
fof(f2906,plain,
( ~ spl42_55
| ~ spl42_239 ),
inference(avatar_contradiction_clause,[],[f2905]) ).
fof(f2905,plain,
( $false
| ~ spl42_55
| ~ spl42_239 ),
inference(subsumption_resolution,[],[f2904,f507]) ).
fof(f2904,plain,
( e22 = e23
| ~ spl42_55
| ~ spl42_239 ),
inference(backward_demodulation,[],[f874,f1717]) ).
fof(f2896,plain,
( ~ spl42_197
| ~ spl42_55 ),
inference(avatar_split_clause,[],[f2895,f872,f1512]) ).
fof(f2895,plain,
( e23 != op2(e21,e23)
| ~ spl42_55 ),
inference(forward_demodulation,[],[f383,f874]) ).
fof(f383,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2893,plain,
( ~ spl42_190
| ~ spl42_75 ),
inference(avatar_split_clause,[],[f2892,f963,f1481]) ).
fof(f1481,plain,
( spl42_190
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f2892,plain,
( e11 != op1(e10,e13)
| ~ spl42_75 ),
inference(forward_demodulation,[],[f142,f965]) ).
fof(f142,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2886,plain,
( ~ spl42_59
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f2885,f1302,f890]) ).
fof(f1302,plain,
( spl42_150
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f2885,plain,
( e11 != op1(e12,e11)
| ~ spl42_150 ),
inference(forward_demodulation,[],[f166,f1304]) ).
fof(f1304,plain,
( e11 = op1(e10,e11)
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1302]) ).
fof(f2882,plain,
( ~ spl42_115
| ~ spl42_157 ),
inference(avatar_split_clause,[],[f2881,f1333,f1146]) ).
fof(f1146,plain,
( spl42_115
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_115])]) ).
fof(f2881,plain,
( e20 != op2(e23,e20)
| ~ spl42_157 ),
inference(forward_demodulation,[],[f384,f1335]) ).
fof(f384,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2874,plain,
( ~ spl42_85
| ~ spl42_145 ),
inference(avatar_contradiction_clause,[],[f2873]) ).
fof(f2873,plain,
( $false
| ~ spl42_85
| ~ spl42_145 ),
inference(subsumption_resolution,[],[f2872,f505]) ).
fof(f505,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f2872,plain,
( e20 = e21
| ~ spl42_85
| ~ spl42_145 ),
inference(backward_demodulation,[],[f1008,f1281]) ).
fof(f2855,plain,
( ~ spl42_98
| ~ spl42_96 ),
inference(avatar_split_clause,[],[f2854,f1057,f1065]) ).
fof(f1057,plain,
( spl42_96
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f2854,plain,
( e12 != op1(e11,e12)
| ~ spl42_96 ),
inference(forward_demodulation,[],[f164,f1059]) ).
fof(f1059,plain,
( e12 = op1(e11,e13)
| ~ spl42_96 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f164,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2853,plain,
( ~ spl42_273
| ~ spl42_154 ),
inference(avatar_split_clause,[],[f2852,f1319,f1886]) ).
fof(f1319,plain,
( spl42_154
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_154])]) ).
fof(f2852,plain,
( e22 != op2(e22,e23)
| ~ spl42_154 ),
inference(forward_demodulation,[],[f381,f1320]) ).
fof(f1320,plain,
( e22 = op2(e22,e20)
| ~ spl42_154 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f2847,plain,
( ~ spl42_135
| ~ spl42_279 ),
inference(avatar_contradiction_clause,[],[f2846]) ).
fof(f2846,plain,
( $false
| ~ spl42_135
| ~ spl42_279 ),
inference(subsumption_resolution,[],[f2845,f509]) ).
fof(f2845,plain,
( e21 = e23
| ~ spl42_135
| ~ spl42_279 ),
inference(forward_demodulation,[],[f1931,f1240]) ).
fof(f1240,plain,
( e21 = h3(e13)
| ~ spl42_135 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1239,plain,
( spl42_135
<=> e21 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_135])]) ).
fof(f2843,plain,
( ~ spl42_61
| ~ spl42_62 ),
inference(avatar_contradiction_clause,[],[f2842]) ).
fof(f2842,plain,
( $false
| ~ spl42_61
| ~ spl42_62 ),
inference(subsumption_resolution,[],[f2841,f213]) ).
fof(f213,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2841,plain,
( e11 = e13
| ~ spl42_61
| ~ spl42_62 ),
inference(forward_demodulation,[],[f905,f901]) ).
fof(f901,plain,
( e11 = op1(e12,e12)
| ~ spl42_61 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl42_61
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_61])]) ).
fof(f2840,plain,
( ~ spl42_6
| ~ spl42_114 ),
inference(avatar_contradiction_clause,[],[f2839]) ).
fof(f2839,plain,
( $false
| ~ spl42_6
| ~ spl42_114 ),
inference(subsumption_resolution,[],[f2838,f505]) ).
fof(f2838,plain,
( e20 = e21
| ~ spl42_6
| ~ spl42_114 ),
inference(forward_demodulation,[],[f1142,f663]) ).
fof(f663,plain,
( e20 = op2(e23,e23)
| ~ spl42_6 ),
inference(avatar_component_clause,[],[f661]) ).
fof(f661,plain,
( spl42_6
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_6])]) ).
fof(f2820,plain,
( ~ spl42_76
| ~ spl42_120 ),
inference(avatar_contradiction_clause,[],[f2819]) ).
fof(f2819,plain,
( $false
| ~ spl42_76
| ~ spl42_120 ),
inference(subsumption_resolution,[],[f2818,f210]) ).
fof(f2818,plain,
( e10 = e11
| ~ spl42_76
| ~ spl42_120 ),
inference(backward_demodulation,[],[f969,f1171]) ).
fof(f969,plain,
( op1(e10,e10) = e11
| ~ spl42_76 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f2815,plain,
( ~ spl42_260
| ~ spl42_259 ),
inference(avatar_split_clause,[],[f2814,f1812,f1816]) ).
fof(f1816,plain,
( spl42_260
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_260])]) ).
fof(f2814,plain,
( e10 != op1(e11,e12)
| ~ spl42_259 ),
inference(forward_demodulation,[],[f144,f1814]) ).
fof(f144,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2795,plain,
( ~ spl42_99
| ~ spl42_119 ),
inference(avatar_contradiction_clause,[],[f2794]) ).
fof(f2794,plain,
( $false
| ~ spl42_99
| ~ spl42_119 ),
inference(subsumption_resolution,[],[f2793,f208]) ).
fof(f2793,plain,
( e10 = e12
| ~ spl42_99
| ~ spl42_119 ),
inference(forward_demodulation,[],[f1071,f1167]) ).
fof(f2778,plain,
( ~ spl42_253
| ~ spl42_150 ),
inference(avatar_split_clause,[],[f2777,f1302,f1783]) ).
fof(f2777,plain,
( e11 != op1(e10,e12)
| ~ spl42_150 ),
inference(forward_demodulation,[],[f148,f1304]) ).
fof(f148,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2776,plain,
( ~ spl42_8
| ~ spl42_54
| spl42_311 ),
inference(avatar_contradiction_clause,[],[f2775]) ).
fof(f2775,plain,
( $false
| ~ spl42_8
| ~ spl42_54
| spl42_311 ),
inference(subsumption_resolution,[],[f2774,f2135]) ).
fof(f2774,plain,
( e20 = e23
| ~ spl42_8
| ~ spl42_54 ),
inference(forward_demodulation,[],[f870,f671]) ).
fof(f2769,plain,
( ~ spl42_46
| ~ spl42_62 ),
inference(avatar_contradiction_clause,[],[f2768]) ).
fof(f2768,plain,
( $false
| ~ spl42_46
| ~ spl42_62 ),
inference(subsumption_resolution,[],[f2767,f212]) ).
fof(f2767,plain,
( e12 = e13
| ~ spl42_46
| ~ spl42_62 ),
inference(backward_demodulation,[],[f905,f834]) ).
fof(f834,plain,
( e12 = op1(e12,e12)
| ~ spl42_46 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f832,plain,
( spl42_46
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_46])]) ).
fof(f2766,plain,
( ~ spl42_75
| ~ spl42_110 ),
inference(avatar_contradiction_clause,[],[f2765]) ).
fof(f2765,plain,
( $false
| ~ spl42_75
| ~ spl42_110 ),
inference(subsumption_resolution,[],[f2764,f213]) ).
fof(f2764,plain,
( e11 = e13
| ~ spl42_75
| ~ spl42_110 ),
inference(backward_demodulation,[],[f1125,f965]) ).
fof(f1125,plain,
( e13 = op1(e13,e13)
| ~ spl42_110 ),
inference(avatar_component_clause,[],[f1123]) ).
fof(f1123,plain,
( spl42_110
<=> e13 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_110])]) ).
fof(f2755,plain,
( spl42_282
| ~ spl42_5 ),
inference(avatar_split_clause,[],[f2754,f657,f1947]) ).
fof(f657,plain,
( spl42_5
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_5])]) ).
fof(f2754,plain,
( e20 = h2(e13)
| ~ spl42_5 ),
inference(backward_demodulation,[],[f217,f659]) ).
fof(f659,plain,
( e20 = op2(e21,e21)
| ~ spl42_5 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f2753,plain,
( ~ spl42_268
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f2746,f903,f1861]) ).
fof(f1861,plain,
( spl42_268
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_268])]) ).
fof(f2746,plain,
( e13 != op1(e13,e12)
| ~ spl42_62 ),
inference(backward_demodulation,[],[f169,f905]) ).
fof(f169,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2751,plain,
( spl42_75
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f2747,f903,f963]) ).
fof(f2747,plain,
( e11 = op1(e13,e13)
| ~ spl42_62 ),
inference(backward_demodulation,[],[f502,f905]) ).
fof(f502,plain,
e11 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e10 = op1(op1(e12,e12),e12)
& e11 = op1(op1(e12,e12),op1(e12,e12))
& e13 = op1(e12,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f2750,plain,
( spl42_259
| ~ spl42_62 ),
inference(avatar_split_clause,[],[f2748,f903,f1812]) ).
fof(f2748,plain,
( e10 = op1(e13,e12)
| ~ spl42_62 ),
inference(backward_demodulation,[],[f503,f905]) ).
fof(f503,plain,
e10 = op1(op1(e12,e12),e12),
inference(cnf_transformation,[],[f12]) ).
fof(f2740,plain,
( ~ spl42_259
| ~ spl42_195 ),
inference(avatar_split_clause,[],[f2733,f1503,f1812]) ).
fof(f2733,plain,
( e10 != op1(e13,e12)
| ~ spl42_195 ),
inference(backward_demodulation,[],[f133,f1505]) ).
fof(f1505,plain,
( e10 = op1(e10,e12)
| ~ spl42_195 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f133,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2731,plain,
( ~ spl42_153
| ~ spl42_119 ),
inference(avatar_split_clause,[],[f2730,f1165,f1314]) ).
fof(f2730,plain,
( e10 != op1(e10,e11)
| ~ spl42_119 ),
inference(backward_demodulation,[],[f165,f1167]) ).
fof(f165,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2726,plain,
( ~ spl42_246
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f2723,f1065,f1748]) ).
fof(f2723,plain,
( e12 != op1(e10,e12)
| ~ spl42_98 ),
inference(backward_demodulation,[],[f161,f1067]) ).
fof(f161,plain,
op1(e10,e12) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2718,plain,
( ~ spl42_169
| ~ spl42_154 ),
inference(avatar_split_clause,[],[f2715,f1319,f1385]) ).
fof(f2715,plain,
( e22 != h1(e13)
| ~ spl42_154 ),
inference(backward_demodulation,[],[f2390,f1320]) ).
fof(f2390,plain,
op2(e22,e20) != h1(e13),
inference(forward_demodulation,[],[f365,f206]) ).
fof(f365,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2707,plain,
( ~ spl42_151
| ~ spl42_94 ),
inference(avatar_split_clause,[],[f2703,f1048,f1306]) ).
fof(f2703,plain,
( e13 != op1(e10,e11)
| ~ spl42_94 ),
inference(backward_demodulation,[],[f124,f1050]) ).
fof(f2646,plain,
( spl42_279
| ~ spl42_206 ),
inference(avatar_split_clause,[],[f2645,f1555,f1929]) ).
fof(f2645,plain,
( e23 = h3(e13)
| ~ spl42_206 ),
inference(backward_demodulation,[],[f396,f1557]) ).
fof(f2626,plain,
( ~ spl42_282
| ~ spl42_84 ),
inference(avatar_split_clause,[],[f2621,f1001,f1947]) ).
fof(f1001,plain,
( spl42_84
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f2621,plain,
( e20 != h2(e13)
| ~ spl42_84 ),
inference(backward_demodulation,[],[f2219,f1003]) ).
fof(f1003,plain,
( e20 = op2(e22,e21)
| ~ spl42_84 ),
inference(avatar_component_clause,[],[f1001]) ).
fof(f2619,plain,
( ~ spl42_283
| ~ spl42_157 ),
inference(avatar_split_clause,[],[f2617,f1333,f1951]) ).
fof(f1951,plain,
( spl42_283
<=> e20 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_283])]) ).
fof(f2617,plain,
( e20 != h3(e13)
| ~ spl42_157 ),
inference(backward_demodulation,[],[f2206,f1335]) ).
fof(f2206,plain,
op2(e23,e22) != h3(e13),
inference(forward_demodulation,[],[f366,f396]) ).
fof(f366,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2612,plain,
( ~ spl42_75
| ~ spl42_45 ),
inference(avatar_split_clause,[],[f2608,f827,f963]) ).
fof(f827,plain,
( spl42_45
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_45])]) ).
fof(f2608,plain,
( e11 != op1(e13,e13)
| ~ spl42_45 ),
inference(backward_demodulation,[],[f125,f829]) ).
fof(f829,plain,
( e11 = op1(e11,e13)
| ~ spl42_45 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f125,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2590,plain,
( ~ spl42_94
| ~ spl42_95 ),
inference(avatar_split_clause,[],[f2587,f1052,f1048]) ).
fof(f2587,plain,
( op1(e10,e10) != e13
| ~ spl42_95 ),
inference(backward_demodulation,[],[f159,f1054]) ).
fof(f1054,plain,
( e13 = op1(e11,e10)
| ~ spl42_95 ),
inference(avatar_component_clause,[],[f1052]) ).
fof(f159,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2570,plain,
( ~ spl42_280
| ~ spl42_235 ),
inference(avatar_split_clause,[],[f2567,f1697,f1934]) ).
fof(f2567,plain,
( e22 != h2(e13)
| ~ spl42_235 ),
inference(backward_demodulation,[],[f2238,f1699]) ).
fof(f2238,plain,
op2(e23,e21) != h2(e13),
inference(forward_demodulation,[],[f367,f217]) ).
fof(f367,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2564,plain,
( ~ spl42_169
| ~ spl42_89 ),
inference(avatar_split_clause,[],[f2557,f1025,f1385]) ).
fof(f1025,plain,
( spl42_89
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f2557,plain,
( e22 != h1(e13)
| ~ spl42_89 ),
inference(backward_demodulation,[],[f2309,f1027]) ).
fof(f1027,plain,
( e22 = op2(e20,e22)
| ~ spl42_89 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f2309,plain,
op2(e20,e22) != h1(e13),
inference(backward_demodulation,[],[f380,f206]) ).
fof(f380,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2561,plain,
( ~ spl42_100
| ~ spl42_89 ),
inference(avatar_split_clause,[],[f2558,f1025,f1074]) ).
fof(f2558,plain,
( e22 != op2(e21,e22)
| ~ spl42_89 ),
inference(backward_demodulation,[],[f385,f1027]) ).
fof(f385,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2550,plain,
( ~ spl42_67
| ~ spl42_7 ),
inference(avatar_split_clause,[],[f2544,f665,f927]) ).
fof(f665,plain,
( spl42_7
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_7])]) ).
fof(f2544,plain,
( e21 != op2(e21,e22)
| ~ spl42_7 ),
inference(backward_demodulation,[],[f357,f666]) ).
fof(f666,plain,
( e21 = op2(e21,e20)
| ~ spl42_7 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f2515,plain,
( ~ spl42_204
| ~ spl42_52 ),
inference(avatar_split_clause,[],[f2512,f860,f1546]) ).
fof(f2512,plain,
( e23 != op2(e23,e21)
| ~ spl42_52 ),
inference(backward_demodulation,[],[f378,f862]) ).
fof(f862,plain,
( e23 = op2(e20,e21)
| ~ spl42_52 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f2497,plain,
( spl42_299
| spl42_320
| spl42_332
| spl42_240 ),
inference(avatar_split_clause,[],[f219,f1720,f2377,f2255,f2048]) ).
fof(f219,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(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e10 = op1(e11,e11)
| e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12) )
& ( e12 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e10 = op1(e11,e12)
| e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e13 = op1(e12,e10)
| e10 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e13
| op1(e10,e10) = e12 )
& ( e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e10 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e11 = op1(e13,e11)
| e12 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e12 = op1(e11,e13)
| e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e10 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13) )
& ( e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11)
| e13 = op1(e12,e11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2494,plain,
( spl42_77
| ~ spl42_40 ),
inference(avatar_split_clause,[],[f552,f804,f971]) ).
fof(f804,plain,
( spl42_40
<=> sP37 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_40])]) ).
fof(f552,plain,
( ~ sP37
| e11 = op1(e11,e11) ),
inference(cnf_transformation,[],[f97]) ).
fof(f97,plain,
( ( e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12))
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,op1(e11,e11)) )
| ~ sP37 ),
inference(nnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12))
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,op1(e11,e11)) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f2476,plain,
( spl42_100
| spl42_275
| spl42_89
| spl42_300 ),
inference(avatar_split_clause,[],[f2475,f2056,f1025,f1903,f1074]) ).
fof(f2475,plain,
( e22 = op2(e23,e22)
| e22 = op2(e20,e22)
| e22 = h3(e13)
| e22 = op2(e21,e22) ),
inference(forward_demodulation,[],[f404,f396]) ).
fof(f404,plain,
( e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e20 = op2(e20,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21) )
& ( e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e20 = op2(e21,e22)
| e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| e20 = op2(e22,e22) )
& ( e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e23)
| e22 = op2(e21,e21) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e23)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e22,e20)
| e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21) )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| op2(e20,e20) = e21 )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22) )
& ( e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e22,e22)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21) )
& ( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) )
& ( e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) )
& ( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 )
& ( e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21) )
& ( e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23)
| e21 = op2(e22,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e21,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e21 = op2(e21,e22)
| e21 = op2(e21,e23)
| e21 = op2(e21,e20)
| e21 = op2(e21,e21) )
& ( e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e23,e23)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e23,e23)
| e22 = op2(e22,e23) )
& ( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) )
& ( e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) )
& ( e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22) )
& ( op2(e20,e20) = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) )
& ( e21 = op2(e20,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23)
| e21 = op2(e21,e23) )
& ( e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| op2(e20,e20) = e21
| e21 = op2(e21,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2460,plain,
( ~ spl42_338
| ~ spl42_201 ),
inference(avatar_split_clause,[],[f2455,f1534,f2457]) ).
fof(f1534,plain,
( spl42_201
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f2455,plain,
( ~ sP4
| e20 != op2(e20,h1(e13)) ),
inference(forward_demodulation,[],[f297,f206]) ).
fof(f297,plain,
( ~ sP4
| e20 != op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e20 = op2(e21,e20)
& e22 != op2(e20,op2(e20,e22))
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21))
& e20 = op2(e20,e21) )
| ~ sP4 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e20 = op2(e21,e20)
& e22 != op2(e20,op2(e20,e22))
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21))
& e20 = op2(e20,e21) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f2447,plain,
( ~ spl42_208
| ~ spl42_41 ),
inference(avatar_split_clause,[],[f560,f809,f1566]) ).
fof(f809,plain,
( spl42_41
<=> sP36 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_41])]) ).
fof(f560,plain,
( ~ sP36
| e12 != op1(e10,op1(e10,e12)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
( ( e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 != op1(e10,op1(e10,e13)) )
| ~ sP36 ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 != op1(e10,op1(e10,e13)) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f2441,plain,
( spl42_269
| spl42_97
| spl42_43
| spl42_78 ),
inference(avatar_split_clause,[],[f196,f976,f818,f1061,f1865]) ).
fof(f196,plain,
( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e11 = op1(e13,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e10,e12) )
& ( e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e13) )
& ( e11 = op1(e11,e11)
| e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11) )
& ( e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e13 = op1(e10,e11)
| e13 = op1(e13,e11)
| e13 = op1(e11,e11) )
& ( e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10) )
& ( op1(e10,e10) = e13
| e13 = op1(e10,e11)
| e13 = op1(e10,e13)
| e13 = op1(e10,e12) )
& ( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) )
& ( e13 = op1(e12,e12)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11) )
& ( e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e10,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e13) )
& ( e11 = op1(e13,e11)
| e11 = op1(e13,e13)
| e11 = op1(e13,e10)
| e11 = op1(e13,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13)
| e13 = op1(e13,e13) )
& ( e13 = op1(e11,e12)
| e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e12,e12) )
& ( e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e10,e13) )
& ( e12 = op1(e11,e13)
| e12 = op1(e10,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e13)
| e12 = op1(e12,e10)
| e12 = op1(e12,e11) )
& ( e13 = op1(e13,e10)
| op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13) )
& ( e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11) )
& ( e10 = op1(e10,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e13,e13) )
& ( e10 = op1(e12,e12)
| e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e11,e12) )
& ( e11 = op1(e10,e12)
| e11 = op1(e10,e13)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e11 = op1(e11,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13) )
& ( e12 = op1(e10,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11)
| e12 = op1(e11,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e10) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f2436,plain,
( ~ spl42_88
| spl42_154 ),
inference(avatar_split_clause,[],[f310,f1319,f1020]) ).
fof(f1020,plain,
( spl42_88
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f310,plain,
( e22 = op2(e22,e20)
| ~ sP2 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2435,plain,
( spl42_263
| spl42_96
| spl42_45
| spl42_328 ),
inference(avatar_split_clause,[],[f222,f2345,f827,f1057,f1832]) ).
fof(f222,plain,
( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e12 = op1(e11,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2431,plain,
( spl42_59
| ~ spl42_105 ),
inference(avatar_split_clause,[],[f567,f1100,f890]) ).
fof(f1100,plain,
( spl42_105
<=> sP35 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_105])]) ).
fof(f567,plain,
( ~ sP35
| e11 = op1(e12,e11) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
( ( e11 = op1(e12,e11)
& e11 != op1(e11,op1(e11,e11))
& e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e11 = op1(e11,e12) )
| ~ sP35 ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e11 = op1(e12,e11)
& e11 != op1(e11,op1(e11,e11))
& e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e11 = op1(e11,e12) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f2428,plain,
( ~ spl42_202
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f259,f1352,f1538]) ).
fof(f1538,plain,
( spl42_202
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_202])]) ).
fof(f259,plain,
( e23 != op2(e20,op2(e20,e23))
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23))
& e20 = op2(e20,e20) )
| ~ sP10 ),
inference(nnf_transformation,[],[f31]) ).
fof(f31,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23))
& e20 = op2(e20,e20) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f2424,plain,
( spl42_98
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f545,f782,f1065]) ).
fof(f782,plain,
( spl42_35
<=> sP38 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_35])]) ).
fof(f545,plain,
( ~ sP38
| e12 = op1(e11,e12) ),
inference(cnf_transformation,[],[f96]) ).
fof(f96,plain,
( ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e12,e11)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e11,e12)
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP38 ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e12,e11)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e11,e12)
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f2413,plain,
( ~ spl42_167
| ~ spl42_170
| ~ spl42_289
| ~ spl42_288
| spl42_37
| ~ spl42_333
| ~ spl42_285
| ~ spl42_291
| ~ spl42_173
| ~ spl42_334
| ~ spl42_168
| ~ spl42_163
| ~ spl42_335
| ~ spl42_284
| ~ spl42_176
| ~ spl42_172
| ~ spl42_178
| spl42_171
| spl42_164
| ~ spl42_174 ),
inference(avatar_split_clause,[],[f2400,f1405,f1365,f1393,f1421,f1397,f1413,f1964,f2410,f1361,f1381,f2406,f1401,f1992,f1968,f2402,f791,f1980,f1984,f1389,f1377]) ).
fof(f791,plain,
( spl42_37
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_37])]) ).
fof(f1393,plain,
( spl42_171
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f1365,plain,
( spl42_164
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f2400,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP21
| sP22
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),e20)
| h1(e13) != h1(op1(e12,e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(e10) != h1(op1(e13,e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e12,e11)) != op2(e20,h1(e11))
| e22 != h1(e10)
| sP23
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13)) ),
inference(forward_demodulation,[],[f2399,f2311]) ).
fof(f2399,plain,
( h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(e13) != h1(op1(e12,e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP21
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),e20)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e11)) != op2(e20,h1(e11))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| sP23
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| sP22
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e12)) != op2(h1(e13),e20)
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| e22 != h1(e10) ),
inference(forward_demodulation,[],[f2398,f206]) ).
fof(f2398,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e11))
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP21
| h1(op1(e11,e12)) != op2(h1(e11),e20)
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| e22 != h1(e10)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP23
| sP22
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| op2(e20,e20) != h1(op1(e12,e12))
| h1(op1(e13,e12)) != op2(h1(e13),e20)
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11)) ),
inference(forward_demodulation,[],[f2397,f205]) ).
fof(f2397,plain,
( h1(op1(e12,e11)) != op2(e20,h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| sP23
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),e20)
| e22 != h1(e10)
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP21
| sP22
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),e20) ),
inference(forward_demodulation,[],[f2396,f205]) ).
fof(f2396,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP21
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| e22 != h1(e10)
| sP22
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| sP23
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),e20)
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e11)) != op2(e20,h1(e11)) ),
inference(forward_demodulation,[],[f2395,f205]) ).
fof(f2395,plain,
( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP22
| h1(op1(e12,e11)) != op2(e20,h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| sP21
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| sP23
| e22 != h1(e10)
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e12,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[],[f2394,f205]) ).
fof(f2394,plain,
( sP22
| sP23
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e12,e13)) != op2(e20,h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| e22 != h1(e10)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP21
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e10)) != op2(e20,h1(e10)) ),
inference(forward_demodulation,[],[f2393,f205]) ).
fof(f2393,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e10)) != op2(e20,h1(e10))
| sP23
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP21
| e22 != h1(e10)
| sP22
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12)) ),
inference(forward_demodulation,[],[f2392,f205]) ).
fof(f2392,plain,
( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| e22 != h1(e10)
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP21
| sP22
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP23
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),e20)
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11)) ),
inference(forward_demodulation,[],[f491,f205]) ).
fof(f491,plain,
( sP21
| sP22
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| e22 != h1(e10)
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| sP23
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e12) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP26
| sP25
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP24 )
& ( ( e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| sP23
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP22
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP21
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) )
& ( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| ( e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e10) )
| sP20
| sP19
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| sP18 )
& ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP17
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP16
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| sP15
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ) ),
inference(definition_folding,[],[f20,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37]) ).
fof(f37,plain,
( ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e21 != h1(e11)
& e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e12) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f20,plain,
( ( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e12) )
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13) )
| ( e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) ) )
& ( ( e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| ( e21 != h1(e11)
& e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e12) )
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10)) )
& ( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| ( e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e23 != h2(e13)
& e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12) )
| ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| ( e20 != h2(e13)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e10) ) )
& ( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ( e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e10) )
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e21 = h1(e10)
| e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e12) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) ) )
| ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
| ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& ( e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11)
| e20 = h3(e12) )
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e11)
| e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& ( e21 = h1(e10)
| e21 = h1(e13)
| e21 = h1(e11)
| e21 = h1(e12) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10)
| e20 = h1(e12) )
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& ( e22 = h1(e11)
| e22 = h1(e12)
| e22 = h1(e10)
| e22 = h1(e13) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) ) )
| ( h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& ( e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11)
| e20 = h4(e13) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& ( e23 = h4(e11)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e21 = h4(e12)
| e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10) )
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) )
| ( h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& ( e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13)
| e23 = h2(e12) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e12)
| e20 = h2(e13) )
& ( e22 = h2(e13)
| e22 = h2(e10)
| e22 = h2(e12)
| e22 = h2(e11) )
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e21 = h2(e13)
| e21 = h2(e10)
| e21 = h2(e12)
| e21 = h2(e11) )
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) )
| ( h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& ( e20 = h3(e10)
| e20 = h3(e13)
| e20 = h3(e11)
| e20 = h3(e12) )
& ( e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& ( e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e10)
| e23 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e21 = h3(e11)
| e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e12) )
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f2387,plain,
( ~ spl42_101
| ~ spl42_122 ),
inference(avatar_split_clause,[],[f304,f1178,f1079]) ).
fof(f1079,plain,
( spl42_101
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_101])]) ).
fof(f304,plain,
( e23 != op2(e21,op2(e21,e23))
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e21,op2(e21,e22))
& e21 = op2(e21,e20)
& e21 = op2(e20,e21) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e21,op2(e21,e22))
& e21 = op2(e21,e20)
& e21 = op2(e20,e21) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2381,plain,
( spl42_268
| spl42_80
| spl42_2
| spl42_110 ),
inference(avatar_split_clause,[],[f182,f1123,f643,f984,f1861]) ).
fof(f182,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2380,plain,
( spl42_59
| spl42_332
| spl42_61
| spl42_234 ),
inference(avatar_split_clause,[],[f172,f1692,f899,f2377,f890]) ).
fof(f172,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13)
| e11 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2366,plain,
( spl42_116
| spl42_159
| spl42_270
| spl42_282 ),
inference(avatar_split_clause,[],[f2365,f1947,f1871,f1343,f1150]) ).
fof(f2365,plain,
( e20 = h2(e13)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f422,f217]) ).
fof(f422,plain,
( e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e20)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2360,plain,
( ~ spl42_330
| ~ spl42_164 ),
inference(avatar_split_clause,[],[f453,f1365,f2357]) ).
fof(f453,plain,
( ~ sP21
| e23 != h1(e13) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10)
& e23 != h1(e13) )
| ~ sP21 ),
inference(nnf_transformation,[],[f43]) ).
fof(f2355,plain,
( ~ spl42_210
| spl42_118 ),
inference(avatar_split_clause,[],[f587,f1161,f1575]) ).
fof(f1575,plain,
( spl42_210
<=> sP31 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_210])]) ).
fof(f587,plain,
( e11 = op1(e11,e10)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ( e12 != op1(e11,op1(e11,e12))
& e10 != op1(e11,op1(e11,e10))
& e13 != op1(e11,op1(e11,e13))
& e11 != op1(e11,op1(e11,e11))
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ~ sP31 ),
inference(nnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e12 != op1(e11,op1(e11,e12))
& e10 != op1(e11,op1(e11,e10))
& e13 != op1(e11,op1(e11,e13))
& e11 != op1(e11,op1(e11,e11))
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f2349,plain,
( ~ spl42_101
| ~ spl42_312 ),
inference(avatar_split_clause,[],[f302,f2140,f1079]) ).
fof(f302,plain,
( e22 != op2(e21,op2(e21,e22))
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
fof(f2336,plain,
( ~ spl42_210
| spl42_150 ),
inference(avatar_split_clause,[],[f586,f1302,f1575]) ).
fof(f586,plain,
( e11 = op1(e10,e11)
| ~ sP31 ),
inference(cnf_transformation,[],[f103]) ).
fof(f2332,plain,
( spl42_1
| spl42_35
| spl42_209
| spl42_105
| spl42_210
| spl42_13
| spl42_199
| spl42_111
| spl42_81
| spl42_92
| spl42_40
| spl42_56
| spl42_194
| spl42_44
| spl42_11
| spl42_41 ),
inference(avatar_split_clause,[],[f633,f809,f682,f823,f1499,f877,f804,f1039,f988,f1127,f1523,f691,f1575,f1100,f1571,f782,f639]) ).
fof(f639,plain,
( spl42_1
<=> sP34 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_1])]) ).
fof(f1571,plain,
( spl42_209
<=> sP32 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f691,plain,
( spl42_13
<=> sP40 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_13])]) ).
fof(f1523,plain,
( spl42_199
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f1127,plain,
( spl42_111
<=> sP29 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_111])]) ).
fof(f1039,plain,
( spl42_92
<=> sP33 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f877,plain,
( spl42_56
<=> sP28 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_56])]) ).
fof(f1499,plain,
( spl42_194
<=> sP30 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f823,plain,
( spl42_44
<=> sP41 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_44])]) ).
fof(f682,plain,
( spl42_11
<=> sP39 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_11])]) ).
fof(f633,plain,
( sP36
| sP39
| sP41
| sP30
| sP28
| sP37
| sP33
| e10 = op1(e13,e10)
| sP29
| sP27
| sP40
| sP31
| sP35
| sP32
| sP38
| sP34 ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e11 = op1(e12,e12)
| e11 = op1(e13,e13)
| e13 != op1(e13,e11)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11 )
& ( ( e12 != op1(e10,op1(e10,e12))
& e10 != op1(e10,op1(e10,e10))
& e13 != op1(e10,op1(e10,e13))
& e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& e11 != op1(e10,op1(e10,e11)) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( e13 = op1(e11,e11)
| e12 != op1(e12,e13)
| op1(e10,e10) = e13
| e13 = op1(e12,e12)
| e13 = op1(e13,e13) )
& ( op1(e10,e10) = e13
| e13 = op1(e12,e12)
| e11 != op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| op1(e10,e10) = e11 )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10)
| e10 = op1(e11,e11)
| e10 = op1(e13,e13)
| e10 = op1(e10,e10) )
& ( e12 = op1(e12,e12)
| e12 = op1(e13,e13)
| op1(e10,e10) = e12
| e12 = op1(e11,e11)
| e12 != op1(e12,e12) )
& ( e10 != op1(e10,e10)
| e10 = op1(e13,e13)
| e10 = op1(e11,e11)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10) )
& ( e13 = op1(e12,e12)
| op1(e10,e10) = e13
| e13 = op1(e13,e13)
| e10 != op1(e10,e13)
| e13 = op1(e11,e11) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12)
| e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11) )
& ( e11 = op1(e13,e13)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11
| e12 != op1(e12,e11)
| e11 = op1(e12,e12) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e13 != op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e10,e10) )
& ( op1(e10,e10) = e12
| e13 != op1(e13,e12)
| e12 = op1(e13,e13)
| e12 = op1(e11,e11)
| e12 = op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10)
| e10 = op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 = op1(e12,e12)
| op1(e10,e10) = e12
| e12 = op1(e13,e13)
| e12 = op1(e11,e11) )
& ( op1(e10,e10) = e13
| e13 != op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| e13 = op1(e13,e13) )
& ( op1(e10,e10) = e11
| e11 = op1(e11,e11)
| e11 = op1(e12,e12)
| e10 != op1(e10,e11)
| e11 = op1(e13,e13) ) ),
inference(definition_folding,[],[f10,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f50,plain,
( ( e13 != op1(e12,op1(e12,e13))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e13)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e13,e12)
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e10 = op1(e10,e10)
& e12 != op1(e10,op1(e10,e12))
& e10 = op1(e10,e10)
& e10 != op1(e10,op1(e10,e10))
& e11 != op1(e10,op1(e10,e11))
& e13 != op1(e10,op1(e10,e13)) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10)) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12)) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f55,plain,
( ( e13 = op1(e13,e12)
& e11 != op1(e13,op1(e13,e11))
& e13 = op1(e12,e13)
& e10 != op1(e13,op1(e13,e10))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12)) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 != op1(e13,op1(e13,e10))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11)) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10))
& e11 != op1(e13,op1(e13,e11)) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f62,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10)) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e12 = op1(e12,e12)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e12)
& e13 != op1(e12,op1(e12,e13)) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 != op1(e11,op1(e11,e11))
& e10 != op1(e11,op1(e11,e10)) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f10,axiom,
( ( e11 = op1(e12,e12)
| e11 = op1(e13,e13)
| e13 != op1(e13,e11)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11 )
& ( ( e12 != op1(e10,op1(e10,e12))
& e10 != op1(e10,op1(e10,e10))
& e13 != op1(e10,op1(e10,e13))
& e10 = op1(e13,e10)
& e10 = op1(e10,e13)
& e11 != op1(e10,op1(e10,e11)) )
| ( e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 != op1(e11,op1(e11,e11))
& e10 != op1(e11,op1(e11,e10)) )
| ( e12 != op1(e12,op1(e12,e12))
& e12 = op1(e12,e12)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e12)
& e13 != op1(e12,op1(e12,e13)) )
| ( e12 != op1(e12,op1(e12,e12))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10)) )
| ( e10 != op1(e12,op1(e12,e10))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e12,e11)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e11,e12)
& e12 != op1(e12,op1(e12,e12)) )
| ( e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e12 != op1(e11,op1(e11,e12))
& e11 = op1(e11,e11)
& e11 = op1(e11,e11)
& e11 != op1(e11,op1(e11,e11)) )
| ( e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e11)
& e10 = op1(e11,e10)
& e13 != op1(e10,op1(e10,e13)) )
| ( e11 = op1(e12,e11)
& e11 != op1(e11,op1(e11,e11))
& e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e10 != op1(e11,op1(e11,e10))
& e11 = op1(e11,e12) )
| ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10))
& e11 != op1(e13,op1(e13,e11)) )
| ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 != op1(e13,op1(e13,e10))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11)) )
| ( e13 = op1(e13,e12)
& e11 != op1(e13,op1(e13,e11))
& e13 = op1(e12,e13)
& e10 != op1(e13,op1(e13,e10))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12)) )
| ( e12 != op1(e11,op1(e11,e12))
& e10 != op1(e11,op1(e11,e10))
& e13 != op1(e11,op1(e11,e13))
& e11 != op1(e11,op1(e11,e11))
& e11 = op1(e11,e10)
& e11 = op1(e10,e11) )
| ( e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12)) )
| ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10)) )
| ( e10 = op1(e10,e10)
& e12 != op1(e10,op1(e10,e12))
& e10 = op1(e10,e10)
& e10 != op1(e10,op1(e10,e10))
& e11 != op1(e10,op1(e10,e11))
& e13 != op1(e10,op1(e10,e13)) )
| ( e13 != op1(e12,op1(e12,e13))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e13)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e13,e12)
& e12 != op1(e12,op1(e12,e12)) ) )
& ( e13 = op1(e11,e11)
| e12 != op1(e12,e13)
| op1(e10,e10) = e13
| e13 = op1(e12,e12)
| e13 = op1(e13,e13) )
& ( op1(e10,e10) = e13
| e13 = op1(e12,e12)
| e11 != op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 = op1(e11,e11)
| e11 = op1(e13,e13)
| e11 = op1(e12,e12)
| op1(e10,e10) = e11 )
& ( e10 = op1(e12,e12)
| e12 != op1(e12,e10)
| e10 = op1(e11,e11)
| e10 = op1(e13,e13)
| e10 = op1(e10,e10) )
& ( e12 = op1(e12,e12)
| e12 = op1(e13,e13)
| op1(e10,e10) = e12
| e12 = op1(e11,e11)
| e12 != op1(e12,e12) )
& ( e10 != op1(e10,e10)
| e10 = op1(e13,e13)
| e10 = op1(e11,e11)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10) )
& ( e13 = op1(e12,e12)
| op1(e10,e10) = e13
| e13 = op1(e13,e13)
| e10 != op1(e10,e13)
| e13 = op1(e11,e11) )
& ( op1(e10,e10) = e12
| e10 != op1(e10,e12)
| e12 = op1(e13,e13)
| e12 = op1(e12,e12)
| e12 = op1(e11,e11) )
& ( e11 = op1(e13,e13)
| e11 = op1(e11,e11)
| op1(e10,e10) = e11
| e12 != op1(e12,e11)
| e11 = op1(e12,e12) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e11)
| e13 != op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e10,e10) )
& ( op1(e10,e10) = e12
| e13 != op1(e13,e12)
| e12 = op1(e13,e13)
| e12 = op1(e11,e11)
| e12 = op1(e12,e12) )
& ( e11 != op1(e11,e10)
| e10 = op1(e13,e13)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10)
| e10 = op1(e11,e11) )
& ( e11 != op1(e11,e12)
| e12 = op1(e12,e12)
| op1(e10,e10) = e12
| e12 = op1(e13,e13)
| e12 = op1(e11,e11) )
& ( op1(e10,e10) = e13
| e13 != op1(e13,e13)
| e13 = op1(e12,e12)
| e13 = op1(e11,e11)
| e13 = op1(e13,e13) )
& ( op1(e10,e10) = e11
| e11 = op1(e11,e11)
| e11 = op1(e12,e12)
| e10 != op1(e10,e11)
| e11 = op1(e13,e13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f2331,plain,
spl42_302,
inference(avatar_split_clause,[],[f2330,f2073]) ).
fof(f2330,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f2329,f1897]) ).
fof(f2329,plain,
h3(e10) = op2(h3(e13),e22),
inference(forward_demodulation,[],[f394,f396]) ).
fof(f394,plain,
op2(op2(e22,e22),e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f2320,plain,
( ~ spl42_123
| spl42_34 ),
inference(avatar_split_clause,[],[f2319,f777,f1182]) ).
fof(f1182,plain,
( spl42_123
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_123])]) ).
fof(f2319,plain,
( e21 = h2(e13)
| ~ sP5 ),
inference(forward_demodulation,[],[f292,f217]) ).
fof(f292,plain,
( e21 = op2(e21,e21)
| ~ sP5 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e21)
& e21 != op2(e21,op2(e21,e21))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e21,e21)
& e22 != op2(e21,op2(e21,e22)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e21)
& e21 != op2(e21,op2(e21,e21))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e21,e21)
& e22 != op2(e21,op2(e21,e22)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f2315,plain,
( ~ spl42_265
| ~ spl42_51 ),
inference(avatar_split_clause,[],[f276,f855,f1846]) ).
fof(f855,plain,
( spl42_51
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_51])]) ).
fof(f276,plain,
( ~ sP7
| e20 != op2(e23,op2(e23,e20)) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( e23 = op2(e23,e20)
& e22 != op2(e23,op2(e23,e22))
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e20,e23)
& e20 != op2(e23,op2(e23,e20)) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e23 = op2(e23,e20)
& e22 != op2(e23,op2(e23,e22))
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e20,e23)
& e20 != op2(e23,op2(e23,e20)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f2300,plain,
( ~ spl42_202
| spl42_8 ),
inference(avatar_split_clause,[],[f263,f669,f1538]) ).
fof(f263,plain,
( e20 = op2(e20,e20)
| ~ sP10 ),
inference(cnf_transformation,[],[f70]) ).
fof(f2297,plain,
( spl42_183
| spl42_318
| spl42_61
| spl42_253 ),
inference(avatar_split_clause,[],[f203,f1783,f899,f2215,f1447]) ).
fof(f203,plain,
( e11 = op1(e10,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12)
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2296,plain,
( spl42_313
| ~ spl42_102 ),
inference(avatar_split_clause,[],[f322,f1086,f2156]) ).
fof(f1086,plain,
( spl42_102
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_102])]) ).
fof(f322,plain,
( ~ sP0
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e22 != op2(e20,op2(e20,e22))
& e20 = op2(e20,e22)
& e20 != op2(e20,op2(e20,e20))
& e20 = op2(e22,e20)
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e22 != op2(e20,op2(e20,e22))
& e20 = op2(e20,e22)
& e20 != op2(e20,op2(e20,e20))
& e20 = op2(e22,e20)
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2276,plain,
( spl42_243
| spl42_272
| spl42_271
| spl42_197 ),
inference(avatar_split_clause,[],[f2275,f1512,f1875,f1882,f1735]) ).
fof(f2275,plain,
( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = h2(e13)
| e23 = op2(e21,e20) ),
inference(forward_demodulation,[],[f411,f217]) ).
fof(f411,plain,
( e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2273,plain,
( spl42_234
| spl42_93
| spl42_241
| spl42_43 ),
inference(avatar_split_clause,[],[f226,f818,f1724,f1044,f1692]) ).
fof(f226,plain,
( e12 = op1(e12,e10)
| e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2272,plain,
( ~ spl42_56
| spl42_120 ),
inference(avatar_split_clause,[],[f609,f1169,f877]) ).
fof(f609,plain,
( e10 = op1(e10,e10)
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
( ( e10 = op1(e10,e10)
& e12 != op1(e10,op1(e10,e12))
& e10 = op1(e10,e10)
& e10 != op1(e10,op1(e10,e10))
& e11 != op1(e10,op1(e10,e11))
& e13 != op1(e10,op1(e10,e13)) )
| ~ sP28 ),
inference(nnf_transformation,[],[f51]) ).
fof(f2265,plain,
~ spl42_207,
inference(avatar_split_clause,[],[f508,f1561]) ).
fof(f508,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2264,plain,
( ~ spl42_73
| ~ spl42_312 ),
inference(avatar_split_clause,[],[f315,f2140,f954]) ).
fof(f954,plain,
( spl42_73
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_73])]) ).
fof(f315,plain,
( e22 != op2(e21,op2(e21,e22))
| ~ sP1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e21 = op2(e21,e22)
& e20 != op2(e21,op2(e21,e20))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e22,e21) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e21 = op2(e21,e22)
& e20 != op2(e21,op2(e21,e20))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e22,e21) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2251,plain,
( ~ spl42_105
| ~ spl42_295 ),
inference(avatar_split_clause,[],[f565,f2023,f1100]) ).
fof(f565,plain,
( e12 != op1(e11,op1(e11,e12))
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f2250,plain,
( spl42_303
| spl42_260
| spl42_183
| spl42_98 ),
inference(avatar_split_clause,[],[f227,f1065,f1447,f1816,f2078]) ).
fof(f227,plain,
( e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2240,plain,
( spl42_78
| spl42_264
| spl42_267
| spl42_200 ),
inference(avatar_split_clause,[],[f181,f1528,f1857,f1838,f976]) ).
fof(f181,plain,
( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2237,plain,
spl42_307,
inference(avatar_split_clause,[],[f2236,f2111]) ).
fof(f2236,plain,
e21 = h3(e11),
inference(backward_demodulation,[],[f1896,f2235]) ).
fof(f1896,plain,
h3(e11) = op2(h3(e13),h3(e13)),
inference(backward_demodulation,[],[f397,f396]) ).
fof(f397,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f2233,plain,
( spl42_242
| spl42_74
| spl42_84
| spl42_319 ),
inference(avatar_split_clause,[],[f119,f2230,f1001,f958,f1729]) ).
fof(f119,plain,
( e23 = op2(e22,e21)
| e20 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e21 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e22 = op2(e22,e20) )
& ( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) )
& ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e23
| op2(e20,e20) = e22 )
& ( e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e22 = op2(e21,e21)
| e23 = op2(e21,e21) )
& ( e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e20 = op2(e23,e21)
| e21 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21) )
& ( e20 = op2(e22,e23)
| e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f2228,plain,
( ~ spl42_51
| spl42_244 ),
inference(avatar_split_clause,[],[f281,f1739,f855]) ).
fof(f281,plain,
( e23 = op2(e23,e20)
| ~ sP7 ),
inference(cnf_transformation,[],[f73]) ).
fof(f2225,plain,
( spl42_46
| spl42_269
| spl42_99
| spl42_267
| ~ spl42_183 ),
inference(avatar_split_clause,[],[f618,f1447,f1857,f1069,f1865,f832]) ).
fof(f618,plain,
( e11 != op1(e11,e12)
| e12 = op1(e13,e13)
| e12 = op1(e11,e11)
| op1(e10,e10) = e12
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f65]) ).
fof(f2222,plain,
( ~ spl42_295
| ~ spl42_210 ),
inference(avatar_split_clause,[],[f591,f1575,f2023]) ).
fof(f591,plain,
( ~ sP31
| e12 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f2205,plain,
~ spl42_311,
inference(avatar_split_clause,[],[f506,f2133]) ).
fof(f506,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2204,plain,
( spl42_52
| spl42_85
| spl42_237
| spl42_145 ),
inference(avatar_split_clause,[],[f112,f1280,f1707,f1006,f860]) ).
fof(f112,plain,
( e20 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2202,plain,
( spl42_214
| ~ spl42_44 ),
inference(avatar_split_clause,[],[f528,f823,f1606]) ).
fof(f528,plain,
( ~ sP41
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
( ( e12 != op1(e11,op1(e11,e12))
& e13 != op1(e11,op1(e11,e13))
& e11 = op1(e11,e13)
& e11 = op1(e13,e11)
& e11 != op1(e11,op1(e11,e11))
& e10 != op1(e11,op1(e11,e10)) )
| ~ sP41 ),
inference(nnf_transformation,[],[f64]) ).
fof(f2200,plain,
( spl42_145
| spl42_158
| spl42_8
| spl42_313 ),
inference(avatar_split_clause,[],[f430,f2156,f669,f1339,f1280]) ).
fof(f430,plain,
( e20 = op2(e20,e22)
| e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2198,plain,
( spl42_119
| spl42_153
| spl42_60
| spl42_215 ),
inference(avatar_split_clause,[],[f180,f1610,f894,f1314,f1165]) ).
fof(f180,plain,
( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e10,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2191,plain,
( ~ spl42_281
| ~ spl42_202 ),
inference(avatar_split_clause,[],[f262,f1538,f1939]) ).
fof(f262,plain,
( ~ sP10
| e20 != op2(e20,op2(e20,e20)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f2185,plain,
( spl42_120
| spl42_94
| spl42_76
| spl42_269 ),
inference(avatar_split_clause,[],[f225,f1865,f967,f1048,f1169]) ).
fof(f225,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e11
| op1(e10,e10) = e13
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f2184,plain,
( ~ spl42_295
| ~ spl42_40 ),
inference(avatar_split_clause,[],[f553,f804,f2023]) ).
fof(f553,plain,
( ~ sP37
| e12 != op1(e11,op1(e11,e12)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f2174,plain,
( spl42_153
| ~ spl42_41 ),
inference(avatar_split_clause,[],[f558,f809,f1314]) ).
fof(f558,plain,
( ~ sP36
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f98]) ).
fof(f2167,plain,
( ~ spl42_292
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f579,f1039,f2000]) ).
fof(f579,plain,
( ~ sP33
| e13 != op1(e13,op1(e13,e13)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
( ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e10,e13)
& e13 = op1(e13,e10)
& e10 != op1(e13,op1(e13,e10))
& e12 != op1(e13,op1(e13,e12))
& e11 != op1(e13,op1(e13,e11)) )
| ~ sP33 ),
inference(nnf_transformation,[],[f56]) ).
fof(f2159,plain,
( spl42_53
| spl42_89
| spl42_304
| spl42_313 ),
inference(avatar_split_clause,[],[f108,f2156,f2085,f1025,f864]) ).
fof(f108,plain,
( e20 = op2(e20,e22)
| e21 = op2(e20,e22)
| e22 = op2(e20,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2151,plain,
( ~ spl42_67
| spl42_238
| spl42_275
| spl42_280
| spl42_113 ),
inference(avatar_split_clause,[],[f2150,f1136,f1934,f1903,f1711,f927]) ).
fof(f2150,plain,
( e22 = op2(e23,e23)
| e22 = h2(e13)
| e22 = h3(e13)
| op2(e20,e20) = e22
| e21 != op2(e21,e22) ),
inference(forward_demodulation,[],[f2149,f217]) ).
fof(f2149,plain,
( e21 != op2(e21,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22
| e22 = op2(e23,e23)
| e22 = h3(e13) ),
inference(forward_demodulation,[],[f335,f396]) ).
fof(f335,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 != op2(e21,e22)
| e22 = op2(e21,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( ( e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e22 != op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e23) )
& ( e23 = op2(e22,e22)
| op2(e20,e20) = e23
| e22 != op2(e22,e23)
| e23 = op2(e21,e21)
| e23 = op2(e23,e23) )
& ( e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| e20 = op2(e23,e23)
| e20 = op2(e20,e20) )
& ( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| op2(e20,e20) = e22
| e22 = op2(e21,e21)
| e22 = op2(e22,e22) )
& ( e22 = op2(e23,e23)
| op2(e20,e20) = e22
| e22 = op2(e21,e21)
| e22 = op2(e22,e22)
| e20 != op2(e20,e22) )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e21 != op2(e21,e23)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( op2(e20,e20) = e22
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| e22 != op2(e22,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e21,e21)
| e20 != op2(e20,e20)
| e20 = op2(e22,e22)
| e20 = op2(e20,e20) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21)
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| op2(e20,e20) = e21 )
& ( e23 = op2(e22,e22)
| e23 = op2(e23,e23)
| e23 != op2(e23,e23)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e23)
| op2(e20,e20) = e22
| e22 = op2(e22,e22)
| e21 != op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e22 != op2(e22,e21)
| e21 = op2(e23,e23)
| op2(e20,e20) = e21
| e21 = op2(e21,e21)
| e21 = op2(e22,e22) )
& ( e20 = op2(e20,e20)
| e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e23 != op2(e23,e20) )
& ( e21 = op2(e22,e22)
| op2(e20,e20) = e21
| e21 = op2(e23,e23)
| e20 != op2(e20,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) = e21
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| e21 = op2(e23,e23)
| e21 != op2(e21,e21) )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| op2(e20,e20) = e23
| e23 = op2(e21,e21)
| e20 != op2(e20,e23) )
& ( ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22))
& e23 != op2(e23,op2(e23,e23))
& e21 != op2(e23,op2(e23,e21)) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f11,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f27,plain,
( ( e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e22 = op2(e23,e22)
& e21 != op2(e22,op2(e22,e21))
& e22 = op2(e22,e23)
& e22 != op2(e22,op2(e22,e22)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e23 = op2(e23,e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e23)
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f32,plain,
( ( e23 != op2(e22,op2(e22,e23))
& e22 = op2(e21,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,op2(e22,e22))
& e21 != op2(e22,op2(e22,e21))
& e20 != op2(e22,op2(e22,e20)) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f33,plain,
( ( e22 != op2(e22,op2(e22,e22))
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 != op2(e22,op2(e22,e21))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20)) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f34,plain,
( ( e22 != op2(e21,op2(e21,e22))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e23,e21)
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e23) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f35,plain,
( ( e20 != op2(e23,op2(e23,e20))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e22)
& e22 != op2(e23,op2(e23,e22))
& e23 = op2(e22,e23)
& e21 != op2(e23,op2(e23,e21)) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f11,axiom,
( ( e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e22 != op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e23) )
& ( e23 = op2(e22,e22)
| op2(e20,e20) = e23
| e22 != op2(e22,e23)
| e23 = op2(e21,e21)
| e23 = op2(e23,e23) )
& ( e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e21 != op2(e21,e20)
| e20 = op2(e23,e23)
| e20 = op2(e20,e20) )
& ( e22 = op2(e23,e23)
| e23 != op2(e23,e22)
| op2(e20,e20) = e22
| e22 = op2(e21,e21)
| e22 = op2(e22,e22) )
& ( e22 = op2(e23,e23)
| op2(e20,e20) = e22
| e22 = op2(e21,e21)
| e22 = op2(e22,e22)
| e20 != op2(e20,e22) )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| e21 != op2(e21,e23)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( op2(e20,e20) = e22
| e22 = op2(e22,e22)
| e22 = op2(e21,e21)
| e22 != op2(e22,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e21,e21)
| e20 != op2(e20,e20)
| e20 = op2(e22,e22)
| e20 = op2(e20,e20) )
& ( e21 = op2(e23,e23)
| e23 != op2(e23,e21)
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| op2(e20,e20) = e21 )
& ( e23 = op2(e22,e22)
| e23 = op2(e23,e23)
| e23 != op2(e23,e23)
| e23 = op2(e21,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e23)
| op2(e20,e20) = e22
| e22 = op2(e22,e22)
| e21 != op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e22 != op2(e22,e21)
| e21 = op2(e23,e23)
| op2(e20,e20) = e21
| e21 = op2(e21,e21)
| e21 = op2(e22,e22) )
& ( e20 = op2(e20,e20)
| e20 = op2(e23,e23)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21)
| e23 != op2(e23,e20) )
& ( e21 = op2(e22,e22)
| op2(e20,e20) = e21
| e21 = op2(e23,e23)
| e20 != op2(e20,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) = e21
| e21 = op2(e22,e22)
| e21 = op2(e21,e21)
| e21 = op2(e23,e23)
| e21 != op2(e21,e21) )
& ( e23 = op2(e23,e23)
| e23 = op2(e22,e22)
| op2(e20,e20) = e23
| e23 = op2(e21,e21)
| e20 != op2(e20,e23) )
& ( ( e23 = op2(e21,e23)
& e23 = op2(e23,e21)
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22))
& e23 != op2(e23,op2(e23,e23))
& e21 != op2(e23,op2(e23,e21)) )
| ( e20 != op2(e23,op2(e23,e20))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e22)
& e22 != op2(e23,op2(e23,e22))
& e23 = op2(e22,e23)
& e21 != op2(e23,op2(e23,e21)) )
| ( e22 != op2(e21,op2(e21,e22))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e23,e21)
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,op2(e22,e22))
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 != op2(e22,op2(e22,e21))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20)) )
| ( e23 != op2(e22,op2(e22,e23))
& e22 = op2(e21,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,op2(e22,e22))
& e21 != op2(e22,op2(e22,e21))
& e20 != op2(e22,op2(e22,e20)) )
| ( e20 = op2(e20,e20)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23))
& e20 = op2(e20,e20) )
| ( e23 = op2(e23,e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e23)
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ( e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23)) )
| ( e23 = op2(e23,e20)
& e22 != op2(e23,op2(e23,e22))
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e20,e23)
& e20 != op2(e23,op2(e23,e20)) )
| ( e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e22 = op2(e23,e22)
& e21 != op2(e22,op2(e22,e21))
& e22 = op2(e22,e23)
& e22 != op2(e22,op2(e22,e22)) )
| ( e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e21)
& e21 != op2(e21,op2(e21,e21))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e21,e21)
& e22 != op2(e21,op2(e21,e22)) )
| ( e20 = op2(e21,e20)
& e22 != op2(e20,op2(e20,e22))
& e20 != op2(e20,op2(e20,e20))
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21))
& e20 = op2(e20,e21) )
| ( e20 != op2(e21,op2(e21,e20))
& e23 != op2(e21,op2(e21,e23))
& e21 != op2(e21,op2(e21,e21))
& e22 != op2(e21,op2(e21,e22))
& e21 = op2(e21,e20)
& e21 = op2(e20,e21) )
| ( e22 = op2(e20,e22)
& e22 = op2(e22,e20)
& e22 != op2(e22,op2(e22,e22))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e21 != op2(e22,op2(e22,e21)) )
| ( e21 = op2(e21,e22)
& e20 != op2(e21,op2(e21,e20))
& e22 != op2(e21,op2(e21,e22))
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e22,e21) )
| ( e22 != op2(e20,op2(e20,e22))
& e20 = op2(e20,e22)
& e20 != op2(e20,op2(e20,e20))
& e20 = op2(e22,e20)
& e23 != op2(e20,op2(e20,e23))
& e21 != op2(e20,op2(e20,e21)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f2147,plain,
( spl42_301
| spl42_115
| spl42_244
| spl42_252 ),
inference(avatar_split_clause,[],[f113,f1777,f1739,f1146,f2068]) ).
fof(f113,plain,
( e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2146,plain,
( ~ spl42_187
| spl42_300 ),
inference(avatar_split_clause,[],[f285,f2056,f1467]) ).
fof(f1467,plain,
( spl42_187
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f285,plain,
( e22 = op2(e23,e22)
| ~ sP6 ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20))
& e22 = op2(e23,e22)
& e21 != op2(e22,op2(e22,e21))
& e22 = op2(e22,e23)
& e22 != op2(e22,op2(e22,e22)) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f2145,plain,
( spl42_301
| spl42_300
| spl42_235
| spl42_113 ),
inference(avatar_split_clause,[],[f429,f1136,f1697,f2056,f2068]) ).
fof(f429,plain,
( e22 = op2(e23,e23)
| e22 = op2(e23,e21)
| e22 = op2(e23,e22)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2144,plain,
( ~ spl42_117
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f544,f782,f1155]) ).
fof(f544,plain,
( ~ sP38
| e12 != op1(e12,op1(e12,e12)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f2143,plain,
( ~ spl42_312
| ~ spl42_123 ),
inference(avatar_split_clause,[],[f288,f1182,f2140]) ).
fof(f288,plain,
( ~ sP5
| e22 != op2(e21,op2(e21,e22)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f2137,plain,
( spl42_239
| spl42_258
| spl42_113
| spl42_273 ),
inference(avatar_split_clause,[],[f407,f1886,f1136,f1807,f1715]) ).
fof(f407,plain,
( e22 = op2(e22,e23)
| e22 = op2(e23,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2124,plain,
( spl42_263
| spl42_110
| spl42_299
| spl42_192 ),
inference(avatar_split_clause,[],[f188,f1489,f2048,f1123,f1832]) ).
fof(f188,plain,
( e13 = op1(e10,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2123,plain,
( spl42_264
| ~ spl42_199 ),
inference(avatar_split_clause,[],[f611,f1523,f1838]) ).
fof(f611,plain,
( ~ sP27
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
( ( e13 != op1(e12,op1(e12,e13))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e13)
& e11 != op1(e12,op1(e12,e11))
& e12 = op1(e13,e12)
& e12 != op1(e12,op1(e12,e12)) )
| ~ sP27 ),
inference(nnf_transformation,[],[f50]) ).
fof(f2122,plain,
( ~ spl42_141
| ~ spl42_134
| ~ spl42_133
| ~ spl42_140
| spl42_131
| ~ spl42_306
| spl42_4
| ~ spl42_137
| ~ spl42_307
| ~ spl42_136
| ~ spl42_142
| ~ spl42_139
| ~ spl42_126
| ~ spl42_129
| ~ spl42_143
| ~ spl42_144
| ~ spl42_308
| ~ spl42_309
| ~ spl42_138
| spl42_127 ),
inference(avatar_split_clause,[],[f2105,f1207,f1251,f2119,f2115,f1275,f1271,f1215,f1203,f1255,f1267,f1243,f2111,f1247,f652,f2107,f1223,f1259,f1231,f1235,f1263]) ).
fof(f1223,plain,
( spl42_131
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_131])]) ).
fof(f652,plain,
( spl42_4
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_4])]) ).
fof(f1207,plain,
( spl42_127
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_127])]) ).
fof(f2105,plain,
( sP25
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| h3(e13) != h3(op1(e12,e12))
| h3(e11) != h3(op1(e13,e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),e22)
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| e21 != h3(e11)
| h3(op1(e12,e13)) != op2(e22,h3(e13))
| sP26
| e20 != h3(op1(e13,e12))
| sP24
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(forward_demodulation,[],[f2104,f395]) ).
fof(f2104,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),e22)
| sP26
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(e11) != h3(op1(e13,e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e12,e13)) != op2(e22,h3(e13))
| sP25
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP24
| e20 != h3(op1(e13,e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| e21 != h3(e11) ),
inference(forward_demodulation,[],[f2103,f395]) ).
fof(f2103,plain,
( h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP25
| e21 != h3(e11)
| sP24
| h3(e11) != h3(op1(e13,e13))
| h3(op1(e12,e13)) != op2(e22,h3(e13))
| e20 != h3(op1(e13,e12))
| h3(op1(e12,e10)) != op2(e22,h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP26
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12)) ),
inference(forward_demodulation,[],[f2102,f395]) ).
fof(f2102,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| e20 != h3(op1(e13,e12))
| h3(op1(e12,e13)) != op2(e22,h3(e13))
| sP24
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP25
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| e21 != h3(e11)
| sP26
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(e11) != h3(op1(e13,e13))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12)) ),
inference(forward_demodulation,[],[f2101,f395]) ).
fof(f2101,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(e11) != h3(op1(e13,e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP25
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| e20 != h3(op1(e13,e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(e13) != h3(op1(e12,e12))
| e21 != h3(e11)
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP26
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP24
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13)) ),
inference(forward_demodulation,[],[f2100,f1896]) ).
fof(f2100,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP26
| e20 != h3(op1(e13,e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| e21 != h3(e11)
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| sP24
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| sP25
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10)) ),
inference(forward_demodulation,[],[f2099,f1897]) ).
fof(f2099,plain,
( sP24
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),e22)
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| sP25
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP26
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| e21 != h3(e11)
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(forward_demodulation,[],[f2098,f395]) ).
fof(f2098,plain,
( sP26
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| sP24
| sP25
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(e13) != h3(op1(e12,e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e21 != h3(e11)
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(forward_demodulation,[],[f2097,f396]) ).
fof(f2097,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| op2(e22,e22) != h3(op1(e12,e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP26
| h3(op1(e12,e11)) != op2(e22,h3(e11))
| sP24
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP25
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| e21 != h3(e11)
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ),
inference(forward_demodulation,[],[f2096,f395]) ).
fof(f2096,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP26
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| 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(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| 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(e12,e11)) != op2(e22,h3(e11))
| e21 != h3(e11)
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| sP25
| sP24 ),
inference(forward_demodulation,[],[f495,f395]) ).
fof(f495,plain,
( e21 != h3(e11)
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| sP26
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP25
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| sP24 ),
inference(cnf_transformation,[],[f49]) ).
fof(f2088,plain,
( spl42_251
| spl42_67
| spl42_135
| spl42_304 ),
inference(avatar_split_clause,[],[f2083,f2085,f1239,f927,f1773]) ).
fof(f2083,plain,
( e21 = op2(e20,e22)
| e21 = h3(e13)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f414,f396]) ).
fof(f414,plain,
( e21 = op2(e23,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2082,plain,
( ~ spl42_56
| ~ spl42_42 ),
inference(avatar_split_clause,[],[f606,f813,f877]) ).
fof(f606,plain,
( e10 != op1(e10,op1(e10,e10))
| ~ sP28 ),
inference(cnf_transformation,[],[f106]) ).
fof(f2081,plain,
( spl42_263
| spl42_155
| spl42_95
| spl42_303 ),
inference(avatar_split_clause,[],[f191,f2078,f1052,f1324,f1832]) ).
fof(f191,plain,
( e13 = op1(e11,e12)
| e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2076,plain,
( ~ spl42_302
| ~ spl42_127 ),
inference(avatar_split_clause,[],[f437,f1207,f2073]) ).
fof(f437,plain,
( ~ sP25
| e20 != h3(e10) ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP25 ),
inference(nnf_transformation,[],[f47]) ).
fof(f2071,plain,
( spl42_301
| spl42_154
| spl42_238
| spl42_256 ),
inference(avatar_split_clause,[],[f403,f1799,f1711,f1319,f2068]) ).
fof(f403,plain,
( e22 = op2(e21,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f2065,plain,
( ~ spl42_92
| spl42_80 ),
inference(avatar_split_clause,[],[f577,f984,f1039]) ).
fof(f577,plain,
( e13 = op1(e13,e10)
| ~ sP33 ),
inference(cnf_transformation,[],[f101]) ).
fof(f2061,plain,
( ~ spl42_131
| ~ spl42_279 ),
inference(avatar_split_clause,[],[f442,f1929,f1223]) ).
fof(f442,plain,
( e23 != h3(e13)
| ~ sP24 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e23 != h3(e10)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e11) )
| ~ sP24 ),
inference(nnf_transformation,[],[f46]) ).
fof(f2060,plain,
( ~ spl42_201
| ~ spl42_161 ),
inference(avatar_split_clause,[],[f296,f1352,f1534]) ).
fof(f296,plain,
( e23 != op2(e20,op2(e20,e23))
| ~ sP4 ),
inference(cnf_transformation,[],[f76]) ).
fof(f2054,plain,
( spl42_197
| spl42_258
| spl42_69
| spl42_159 ),
inference(avatar_split_clause,[],[f111,f1343,f935,f1807,f1512]) ).
fof(f111,plain,
( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2051,plain,
( spl42_299
| ~ spl42_209 ),
inference(avatar_split_clause,[],[f583,f1571,f2048]) ).
fof(f583,plain,
( ~ sP32
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
( ( e13 = op1(e13,e12)
& e11 != op1(e13,op1(e13,e11))
& e13 = op1(e12,e13)
& e10 != op1(e13,op1(e13,e10))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12)) )
| ~ sP32 ),
inference(nnf_transformation,[],[f55]) ).
fof(f2029,plain,
~ spl42_4,
inference(avatar_split_clause,[],[f2028,f652]) ).
fof(f2028,plain,
~ sP26,
inference(subsumption_resolution,[],[f436,f395]) ).
fof(f436,plain,
( ~ sP26
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e22 != h3(e12)
& e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e13) )
| ~ sP26 ),
inference(nnf_transformation,[],[f48]) ).
fof(f2021,plain,
( ~ spl42_262
| ~ spl42_88 ),
inference(avatar_split_clause,[],[f306,f1020,f1827]) ).
fof(f306,plain,
( ~ sP2
| e21 != op2(e22,op2(e22,e21)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f2020,plain,
( ~ spl42_51
| spl42_55 ),
inference(avatar_split_clause,[],[f277,f872,f855]) ).
fof(f277,plain,
( e23 = op2(e20,e23)
| ~ sP7 ),
inference(cnf_transformation,[],[f73]) ).
fof(f2009,plain,
( spl42_63
| spl42_121
| spl42_119
| ~ spl42_43
| spl42_120 ),
inference(avatar_split_clause,[],[f627,f1169,f818,f1165,f1173,f907]) ).
fof(f627,plain,
( e10 = op1(e10,e10)
| e12 != op1(e12,e10)
| e10 = op1(e11,e11)
| e10 = op1(e13,e13)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1998,plain,
~ spl42_171,
inference(avatar_split_clause,[],[f1997,f1393]) ).
fof(f1997,plain,
~ sP22,
inference(subsumption_resolution,[],[f451,f205]) ).
fof(f451,plain,
( ~ sP22
| e20 != h1(e12) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e10)
& e20 != h1(e11) )
| ~ sP22 ),
inference(nnf_transformation,[],[f44]) ).
fof(f1954,plain,
( spl42_282
| spl42_283
| spl42_6
| spl42_8
| ~ spl42_244 ),
inference(avatar_split_clause,[],[f1945,f1739,f669,f661,f1951,f1947]) ).
fof(f1945,plain,
( e23 != op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e23,e23)
| e20 = h3(e13)
| e20 = h2(e13) ),
inference(forward_demodulation,[],[f1944,f217]) ).
fof(f1944,plain,
( e20 = op2(e20,e20)
| e23 != op2(e23,e20)
| e20 = op2(e21,e21)
| e20 = h3(e13)
| e20 = op2(e23,e23) ),
inference(forward_demodulation,[],[f333,f396]) ).
fof(f333,plain,
( e20 = op2(e23,e23)
| e23 != op2(e23,e20)
| e20 = op2(e20,e20)
| e20 = op2(e22,e22)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1943,plain,
( ~ spl42_1
| ~ spl42_233 ),
inference(avatar_split_clause,[],[f570,f1686,f639]) ).
fof(f570,plain,
( e12 != op1(e13,op1(e13,e12))
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( ( e13 != op1(e13,op1(e13,e13))
& e13 = op1(e11,e13)
& e13 = op1(e13,e11)
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10))
& e11 != op1(e13,op1(e13,e11)) )
| ~ sP34 ),
inference(nnf_transformation,[],[f57]) ).
fof(f1922,plain,
( spl42_245
| spl42_83
| spl42_154
| spl42_277 ),
inference(avatar_split_clause,[],[f118,f1919,f1319,f997,f1743]) ).
fof(f118,plain,
( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e20 = op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1909,plain,
( ~ spl42_71
| spl42_69 ),
inference(avatar_split_clause,[],[f240,f935,f945]) ).
fof(f945,plain,
( spl42_71
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_71])]) ).
fof(f240,plain,
( e21 = op2(e21,e23)
| ~ sP13 ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( e22 != op2(e21,op2(e21,e22))
& e20 != op2(e21,op2(e21,e20))
& e21 = op2(e23,e21)
& e21 != op2(e21,op2(e21,e21))
& e23 != op2(e21,op2(e21,e23))
& e21 = op2(e21,e23) )
| ~ sP13 ),
inference(nnf_transformation,[],[f34]) ).
fof(f1907,plain,
( spl42_192
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f578,f1039,f1489]) ).
fof(f578,plain,
( ~ sP33
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1906,plain,
( spl42_154
| spl42_273
| spl42_242
| spl42_275 ),
inference(avatar_split_clause,[],[f1901,f1903,f1729,f1886,f1319]) ).
fof(f1901,plain,
( e22 = h3(e13)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f420,f396]) ).
fof(f420,plain,
( e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1900,plain,
( spl42_246
| spl42_269
| spl42_152
| spl42_189 ),
inference(avatar_split_clause,[],[f202,f1477,f1310,f1865,f1748]) ).
fof(f202,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1899,plain,
( ~ spl42_11
| ~ spl42_188 ),
inference(avatar_split_clause,[],[f539,f1472,f682]) ).
fof(f539,plain,
( e11 != op1(e12,op1(e12,e11))
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e13 != op1(e12,op1(e12,e13))
& e12 = op1(e10,e12)
& e12 = op1(e12,e10)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10)) )
| ~ sP39 ),
inference(nnf_transformation,[],[f62]) ).
fof(f1879,plain,
( ~ spl42_111
| spl42_110 ),
inference(avatar_split_clause,[],[f602,f1123,f1127]) ).
fof(f602,plain,
( e13 = op1(e13,e13)
| ~ sP29 ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
( ( e13 = op1(e13,e13)
& e13 = op1(e13,e13)
& e11 != op1(e13,op1(e13,e11))
& e13 != op1(e13,op1(e13,e13))
& e12 != op1(e13,op1(e13,e12))
& e10 != op1(e13,op1(e13,e10)) )
| ~ sP29 ),
inference(nnf_transformation,[],[f52]) ).
fof(f1878,plain,
( spl42_100
| spl42_270
| spl42_67
| spl42_271 ),
inference(avatar_split_clause,[],[f117,f1875,f927,f1871,f1074]) ).
fof(f117,plain,
( e23 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22)
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1849,plain,
( spl42_65
| spl42_88
| spl42_51
| spl42_101
| spl42_71
| spl42_203
| spl42_102
| spl42_73
| spl42_123
| spl42_201
| ~ spl42_265
| spl42_185
| spl42_160
| spl42_202
| spl42_49
| spl42_187 ),
inference(avatar_split_clause,[],[f327,f1467,f846,f1538,f1348,f1456,f1846,f1534,f1182,f954,f1086,f1542,f945,f1079,f855,f1020,f917]) ).
fof(f917,plain,
( spl42_65
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_65])]) ).
fof(f1542,plain,
( spl42_203
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f1456,plain,
( spl42_185
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_185])]) ).
fof(f1348,plain,
( spl42_160
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f846,plain,
( spl42_49
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_49])]) ).
fof(f327,plain,
( sP6
| sP12
| sP10
| sP8
| sP9
| e20 != op2(e23,op2(e23,e20))
| sP4
| sP5
| sP1
| sP0
| sP14
| sP13
| sP3
| sP7
| sP2
| sP11 ),
inference(cnf_transformation,[],[f36]) ).
fof(f1844,plain,
( ~ spl42_41
| spl42_250 ),
inference(avatar_split_clause,[],[f557,f1768,f809]) ).
fof(f557,plain,
( e10 = op1(e11,e10)
| ~ sP36 ),
inference(cnf_transformation,[],[f98]) ).
fof(f1843,plain,
( ~ spl42_49
| spl42_198 ),
inference(avatar_split_clause,[],[f249,f1517,f846]) ).
fof(f249,plain,
( e22 = op2(e22,e22)
| ~ sP12 ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
( ( e22 != op2(e22,op2(e22,e22))
& e22 = op2(e22,e22)
& e22 = op2(e22,e22)
& e21 != op2(e22,op2(e22,e21))
& e23 != op2(e22,op2(e22,e23))
& e20 != op2(e22,op2(e22,e20)) )
| ~ sP12 ),
inference(nnf_transformation,[],[f33]) ).
fof(f1841,plain,
( spl42_264
| spl42_98
| spl42_246
| spl42_46 ),
inference(avatar_split_clause,[],[f194,f832,f1748,f1065,f1838]) ).
fof(f194,plain,
( e12 = op1(e12,e12)
| e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1836,plain,
( spl42_185
| spl42_49
| spl42_51
| spl42_203
| spl42_201
| spl42_202
| spl42_65
| spl42_197
| spl42_101
| spl42_88
| spl42_187
| spl42_160
| spl42_123
| spl42_102
| spl42_73
| spl42_71 ),
inference(avatar_split_clause,[],[f329,f945,f954,f1086,f1182,f1348,f1467,f1020,f1079,f1512,f917,f1538,f1534,f1542,f855,f846,f1456]) ).
fof(f329,plain,
( sP13
| sP1
| sP0
| sP5
| sP8
| sP6
| sP2
| sP3
| e23 = op2(e21,e23)
| sP11
| sP10
| sP4
| sP14
| sP7
| sP12
| sP9 ),
inference(cnf_transformation,[],[f36]) ).
fof(f1791,plain,
( ~ spl42_73
| ~ spl42_122 ),
inference(avatar_split_clause,[],[f313,f1178,f954]) ).
fof(f313,plain,
( e23 != op2(e21,op2(e21,e23))
| ~ sP1 ),
inference(cnf_transformation,[],[f79]) ).
fof(f1790,plain,
( spl42_253
| spl42_246
| spl42_195
| spl42_254 ),
inference(avatar_split_clause,[],[f229,f1787,f1503,f1748,f1783]) ).
fof(f229,plain,
( e13 = op1(e10,e12)
| e10 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1771,plain,
( spl42_97
| spl42_95
| spl42_250
| spl42_118 ),
inference(avatar_split_clause,[],[f231,f1161,f1768,f1052,f1061]) ).
fof(f231,plain,
( e11 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1751,plain,
( spl42_246
| ~ spl42_11 ),
inference(avatar_split_clause,[],[f541,f682,f1748]) ).
fof(f541,plain,
( ~ sP39
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f95]) ).
fof(f1746,plain,
( spl42_243
| spl42_54
| spl42_244
| spl42_245 ),
inference(avatar_split_clause,[],[f417,f1743,f1739,f868,f1735]) ).
fof(f417,plain,
( e23 = op2(e22,e20)
| e23 = op2(e23,e20)
| op2(e20,e20) = e23
| e23 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1732,plain,
( ~ spl42_65
| spl42_242 ),
inference(avatar_split_clause,[],[f255,f1729,f917]) ).
fof(f255,plain,
( e22 = op2(e22,e21)
| ~ sP11 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e23 != op2(e22,op2(e22,e23))
& e22 = op2(e21,e22)
& e22 = op2(e22,e21)
& e22 != op2(e22,op2(e22,e22))
& e21 != op2(e22,op2(e22,e21))
& e20 != op2(e22,op2(e22,e20)) )
| ~ sP11 ),
inference(nnf_transformation,[],[f32]) ).
fof(f1727,plain,
( spl42_63
| spl42_60
| spl42_240
| spl42_241 ),
inference(avatar_split_clause,[],[f198,f1724,f1720,f894,f907]) ).
fof(f198,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1718,plain,
( spl42_237
| spl42_238
| spl42_239
| spl42_89 ),
inference(avatar_split_clause,[],[f406,f1025,f1715,f1711,f1707]) ).
fof(f406,plain,
( e22 = op2(e20,e22)
| e22 = op2(e20,e23)
| op2(e20,e20) = e22
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1700,plain,
( spl42_156
| spl42_235
| spl42_86
| spl42_204 ),
inference(avatar_split_clause,[],[f110,f1546,f1010,f1697,f1329]) ).
fof(f110,plain,
( e23 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1695,plain,
( spl42_79
| spl42_76
| spl42_118
| spl42_234 ),
inference(avatar_split_clause,[],[f175,f1692,f1161,f967,f980]) ).
fof(f175,plain,
( e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1689,plain,
( ~ spl42_233
| ~ spl42_92 ),
inference(avatar_split_clause,[],[f575,f1039,f1686]) ).
fof(f575,plain,
( ~ sP33
| e12 != op1(e13,op1(e13,e12)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f1684,plain,
( ~ spl42_13
| spl42_46 ),
inference(avatar_split_clause,[],[f536,f832,f691]) ).
fof(f536,plain,
( e12 = op1(e12,e12)
| ~ sP40 ),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( ( e12 != op1(e12,op1(e12,e12))
& e12 = op1(e12,e12)
& e11 != op1(e12,op1(e12,e11))
& e10 != op1(e12,op1(e12,e10))
& e12 = op1(e12,e12)
& e13 != op1(e12,op1(e12,e13)) )
| ~ sP40 ),
inference(nnf_transformation,[],[f63]) ).
fof(f1614,plain,
spl42_206,
inference(avatar_split_clause,[],[f398,f1555]) ).
fof(f398,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f1613,plain,
( spl42_214
| spl42_200
| spl42_2
| spl42_215 ),
inference(avatar_split_clause,[],[f223,f1610,f643,f1528,f1606]) ).
fof(f223,plain,
( e10 = op1(e13,e11)
| e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1599,plain,
( spl42_119
| spl42_99
| spl42_155
| spl42_77 ),
inference(avatar_split_clause,[],[f230,f971,f1324,f1069,f1165]) ).
fof(f230,plain,
( e11 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e10 = op1(e11,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1598,plain,
( spl42_145
| ~ spl42_201 ),
inference(avatar_split_clause,[],[f294,f1534,f1280]) ).
fof(f294,plain,
( ~ sP4
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f76]) ).
fof(f1592,plain,
( spl42_115
| ~ spl42_160 ),
inference(avatar_split_clause,[],[f275,f1348,f1146]) ).
fof(f275,plain,
( ~ sP8
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( e20 = op2(e23,e20)
& e20 = op2(e20,e23)
& e20 != op2(e20,op2(e20,e20))
& e22 != op2(e20,op2(e20,e22))
& e21 != op2(e20,op2(e20,e21))
& e23 != op2(e20,op2(e20,e23)) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1591,plain,
( ~ spl42_203
| spl42_196 ),
inference(avatar_split_clause,[],[f235,f1508,f1542]) ).
fof(f235,plain,
( e23 = op2(e22,e23)
| ~ sP14 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e20 != op2(e23,op2(e23,e20))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e22)
& e22 != op2(e23,op2(e23,e22))
& e23 = op2(e22,e23)
& e21 != op2(e23,op2(e23,e21)) )
| ~ sP14 ),
inference(nnf_transformation,[],[f35]) ).
fof(f1578,plain,
( spl42_92
| spl42_209
| spl42_1
| spl42_111
| spl42_105
| spl42_13
| spl42_56
| spl42_210
| ~ spl42_42
| spl42_199
| spl42_44
| spl42_40
| spl42_194
| spl42_41
| spl42_11
| spl42_35 ),
inference(avatar_split_clause,[],[f635,f782,f682,f809,f1499,f804,f823,f1523,f813,f1575,f877,f691,f1100,f1127,f639,f1571,f1039]) ).
fof(f635,plain,
( sP38
| sP39
| sP36
| sP30
| sP37
| sP41
| sP27
| e10 != op1(e10,op1(e10,e10))
| sP31
| sP28
| sP40
| sP35
| sP29
| sP34
| sP32
| sP33 ),
inference(cnf_transformation,[],[f65]) ).
fof(f1549,plain,
( spl42_187
| spl42_51
| spl42_201
| spl42_65
| spl42_185
| spl42_102
| spl42_71
| spl42_202
| spl42_49
| spl42_73
| spl42_203
| spl42_160
| spl42_204
| spl42_101
| spl42_123
| spl42_88 ),
inference(avatar_split_clause,[],[f328,f1020,f1182,f1079,f1546,f1348,f1542,f954,f846,f1538,f945,f1086,f1456,f917,f1534,f855,f1467]) ).
fof(f328,plain,
( sP2
| sP5
| sP3
| e23 = op2(e23,e21)
| sP8
| sP14
| sP1
| sP12
| sP10
| sP13
| sP0
| sP9
| sP11
| sP4
| sP7
| sP6 ),
inference(cnf_transformation,[],[f36]) ).
fof(f1532,plain,
( ~ spl42_185
| spl42_112 ),
inference(avatar_split_clause,[],[f266,f1132,f1456]) ).
fof(f266,plain,
( e23 = op2(e23,e23)
| ~ sP9 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e23 = op2(e23,e23)
& e21 != op2(e23,op2(e23,e21))
& e23 != op2(e23,op2(e23,e23))
& e23 = op2(e23,e23)
& e20 != op2(e23,op2(e23,e20))
& e22 != op2(e23,op2(e23,e22)) )
| ~ sP9 ),
inference(nnf_transformation,[],[f30]) ).
fof(f1531,plain,
( spl42_36
| spl42_200
| spl42_99
| spl42_152 ),
inference(avatar_split_clause,[],[f173,f1310,f1069,f1528,f786]) ).
fof(f173,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e13,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1515,plain,
( spl42_196
| spl42_112
| spl42_197
| spl42_55 ),
inference(avatar_split_clause,[],[f408,f872,f1512,f1132,f1508]) ).
fof(f408,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1506,plain,
( ~ spl42_194
| spl42_195 ),
inference(avatar_split_clause,[],[f595,f1503,f1499]) ).
fof(f595,plain,
( e10 = op1(e10,e12)
| ~ sP30 ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
( ( e13 != op1(e10,op1(e10,e13))
& e11 != op1(e10,op1(e10,e11))
& e10 = op1(e10,e12)
& e10 = op1(e12,e10)
& e10 != op1(e10,op1(e10,e10))
& e12 != op1(e10,op1(e10,e12)) )
| ~ sP30 ),
inference(nnf_transformation,[],[f53]) ).
fof(f1497,plain,
( ~ spl42_105
| ~ spl42_193 ),
inference(avatar_split_clause,[],[f563,f1494,f1100]) ).
fof(f563,plain,
( e10 != op1(e11,op1(e11,e10))
| ~ sP35 ),
inference(cnf_transformation,[],[f99]) ).
fof(f1492,plain,
( spl42_189
| spl42_190
| spl42_191
| spl42_192 ),
inference(avatar_split_clause,[],[f233,f1489,f1485,f1481,f1477]) ).
fof(f233,plain,
( e13 = op1(e10,e13)
| e10 = op1(e10,e13)
| e11 = op1(e10,e13)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1475,plain,
( ~ spl42_188
| ~ spl42_35 ),
inference(avatar_split_clause,[],[f546,f782,f1472]) ).
fof(f546,plain,
( ~ sP38
| e11 != op1(e12,op1(e12,e11)) ),
inference(cnf_transformation,[],[f96]) ).
fof(f1460,plain,
( ~ spl42_80
| spl42_120
| spl42_63
| spl42_119
| spl42_121 ),
inference(avatar_split_clause,[],[f621,f1173,f1165,f907,f1169,f984]) ).
fof(f621,plain,
( e10 = op1(e13,e13)
| e10 = op1(e11,e11)
| e10 = op1(e12,e12)
| e10 = op1(e10,e10)
| e13 != op1(e13,e10) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1440,plain,
spl42_62,
inference(avatar_split_clause,[],[f501,f903]) ).
fof(f501,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f1346,plain,
( spl42_158
| spl42_159
| spl42_82
| spl42_6 ),
inference(avatar_split_clause,[],[f432,f661,f993,f1343,f1339]) ).
fof(f432,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1322,plain,
( spl42_9
| spl42_6
| spl42_5
| ~ spl42_154
| spl42_8 ),
inference(avatar_split_clause,[],[f345,f669,f1319,f657,f661,f673]) ).
fof(f345,plain,
( e20 = op2(e20,e20)
| e22 != op2(e22,e20)
| e20 = op2(e21,e21)
| e20 = op2(e23,e23)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f36]) ).
fof(f1317,plain,
( spl42_150
| spl42_151
| spl42_152
| spl42_153 ),
inference(avatar_split_clause,[],[f232,f1314,f1310,f1306,f1302]) ).
fof(f232,plain,
( e10 = op1(e10,e11)
| e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1185,plain,
( ~ spl42_122
| ~ spl42_123 ),
inference(avatar_split_clause,[],[f293,f1182,f1178]) ).
fof(f293,plain,
( ~ sP5
| e23 != op2(e21,op2(e21,e23)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f1176,plain,
( ~ spl42_118
| spl42_119
| spl42_120
| spl42_121
| spl42_63 ),
inference(avatar_split_clause,[],[f619,f907,f1173,f1169,f1165,f1161]) ).
fof(f619,plain,
( e10 = op1(e12,e12)
| e10 = op1(e13,e13)
| e10 = op1(e10,e10)
| e10 = op1(e11,e11)
| e11 != op1(e11,e10) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1082,plain,
( ~ spl42_101
| spl42_7 ),
inference(avatar_split_clause,[],[f301,f665,f1079]) ).
fof(f301,plain,
( e21 = op2(e21,e20)
| ~ sP3 ),
inference(cnf_transformation,[],[f77]) ).
fof(f1077,plain,
( spl42_100
| ~ spl42_65 ),
inference(avatar_split_clause,[],[f256,f917,f1074]) ).
fof(f256,plain,
( ~ sP11
| e22 = op2(e21,e22) ),
inference(cnf_transformation,[],[f69]) ).
fof(f1028,plain,
( spl42_89
| ~ spl42_88 ),
inference(avatar_split_clause,[],[f311,f1020,f1025]) ).
fof(f311,plain,
( ~ sP2
| e22 = op2(e20,e22) ),
inference(cnf_transformation,[],[f78]) ).
fof(f1013,plain,
( spl42_85
| spl42_86
| spl42_68
| spl42_74 ),
inference(avatar_split_clause,[],[f415,f958,f931,f1010,f1006]) ).
fof(f415,plain,
( e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e23,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f991,plain,
( spl42_78
| spl42_79
| spl42_80
| spl42_81 ),
inference(avatar_split_clause,[],[f220,f988,f984,f980,f976]) ).
fof(f220,plain,
( e10 = op1(e13,e10)
| e13 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f875,plain,
( spl42_52
| spl42_53
| spl42_54
| spl42_55 ),
inference(avatar_split_clause,[],[f416,f872,f868,f864,f860]) ).
fof(f416,plain,
( e23 = op2(e20,e23)
| op2(e20,e20) = e23
| e23 = op2(e20,e22)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f821,plain,
( ~ spl42_11
| spl42_43 ),
inference(avatar_split_clause,[],[f540,f818,f682]) ).
fof(f540,plain,
( e12 = op1(e12,e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f95]) ).
fof(f798,plain,
( ~ spl42_37
| ~ spl42_38 ),
inference(avatar_split_clause,[],[f448,f795,f791]) ).
fof(f448,plain,
( e21 != h1(e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( e21 != h1(e11)
& e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e12) )
| ~ sP23 ),
inference(nnf_transformation,[],[f45]) ).
fof(f789,plain,
( ~ spl42_35
| spl42_36 ),
inference(avatar_split_clause,[],[f547,f786,f782]) ).
fof(f547,plain,
( e12 = op1(e12,e11)
| ~ sP38 ),
inference(cnf_transformation,[],[f96]) ).
fof(f646,plain,
( ~ spl42_1
| spl42_2 ),
inference(avatar_split_clause,[],[f571,f643,f639]) ).
fof(f571,plain,
( e13 = op1(e13,e11)
| ~ sP34 ),
inference(cnf_transformation,[],[f100]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 14:57:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 % (17893)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (17913)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.54 % (17892)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54 % (17904)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55 % (17899)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55 % (17898)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (17894)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.55 % (17896)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55 % (17897)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (17897)Instruction limit reached!
% 0.20/0.55 % (17897)------------------------------
% 0.20/0.55 % (17897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (17897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (17897)Termination reason: Unknown
% 0.20/0.55 % (17897)Termination phase: shuffling
% 0.20/0.55
% 0.20/0.55 % (17897)Memory used [KB]: 1023
% 0.20/0.55 % (17897)Time elapsed: 0.002 s
% 0.20/0.55 % (17897)Instructions burned: 2 (million)
% 0.20/0.55 % (17897)------------------------------
% 0.20/0.55 % (17897)------------------------------
% 0.20/0.55 % (17911)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55 % (17895)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.55 % (17891)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55 % (17890)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.56 % (17909)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (17896)Instruction limit reached!
% 0.20/0.56 % (17896)------------------------------
% 0.20/0.56 % (17896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (17896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (17896)Termination reason: Unknown
% 0.20/0.56 % (17896)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (17896)Memory used [KB]: 1151
% 0.20/0.56 % (17896)Time elapsed: 0.007 s
% 0.20/0.56 % (17896)Instructions burned: 7 (million)
% 0.20/0.56 % (17896)------------------------------
% 0.20/0.56 % (17896)------------------------------
% 0.20/0.56 % (17917)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.56 % (17902)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56 % (17912)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.56 % (17901)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56 % (17903)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56 % (17916)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56 % (17919)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.56 % (17915)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.57 % (17920)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.57 % (17908)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.57 % (17906)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)
% 1.61/0.57 % (17918)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)
% 1.61/0.57 % (17910)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)
% 1.61/0.58 % (17889)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)
% 1.71/0.59 % (17914)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)
% 1.71/0.60 % (17905)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)
% 1.71/0.60 % (17892)Instruction limit reached!
% 1.71/0.60 % (17892)------------------------------
% 1.71/0.60 % (17892)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (17892)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (17892)Termination reason: Unknown
% 1.71/0.60 % (17892)Termination phase: Property scanning
% 1.71/0.60
% 1.71/0.60 % (17892)Memory used [KB]: 1663
% 1.71/0.60 % (17892)Time elapsed: 0.019 s
% 1.71/0.60 % (17892)Instructions burned: 52 (million)
% 1.71/0.60 % (17892)------------------------------
% 1.71/0.60 % (17892)------------------------------
% 1.71/0.60 % (17893)Instruction limit reached!
% 1.71/0.60 % (17893)------------------------------
% 1.71/0.60 % (17893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.60 % (17893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.60 % (17893)Termination reason: Unknown
% 1.71/0.60 % (17893)Termination phase: Saturation
% 1.71/0.60
% 1.71/0.60 % (17893)Memory used [KB]: 6780
% 1.71/0.60 % (17893)Time elapsed: 0.023 s
% 1.71/0.60 % (17893)Instructions burned: 52 (million)
% 1.71/0.60 % (17893)------------------------------
% 1.71/0.60 % (17893)------------------------------
% 1.71/0.61 % (17891)Instruction limit reached!
% 1.71/0.61 % (17891)------------------------------
% 1.71/0.61 % (17891)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.61 % (17891)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.61 % (17891)Termination reason: Unknown
% 1.71/0.61 % (17891)Termination phase: Saturation
% 1.71/0.61
% 1.71/0.61 % (17891)Memory used [KB]: 1407
% 1.71/0.61 % (17891)Time elapsed: 0.018 s
% 1.71/0.61 % (17891)Instructions burned: 39 (million)
% 1.71/0.61 % (17891)------------------------------
% 1.71/0.61 % (17891)------------------------------
% 1.71/0.63 % (17904)Instruction limit reached!
% 1.71/0.63 % (17904)------------------------------
% 1.71/0.63 % (17904)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.71/0.63 % (17904)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.71/0.63 % (17904)Termination reason: Unknown
% 1.71/0.63 % (17904)Termination phase: Saturation
% 1.71/0.63
% 1.71/0.63 % (17904)Memory used [KB]: 7164
% 1.71/0.63 % (17904)Time elapsed: 0.060 s
% 1.71/0.63 % (17904)Instructions burned: 68 (million)
% 1.71/0.63 % (17904)------------------------------
% 1.71/0.63 % (17904)------------------------------
% 1.95/0.63 % (17899)Instruction limit reached!
% 1.95/0.63 % (17899)------------------------------
% 1.95/0.63 % (17899)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (17899)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63 % (17899)Termination reason: Unknown
% 1.95/0.63 % (17899)Termination phase: Saturation
% 1.95/0.63
% 1.95/0.63 % (17899)Memory used [KB]: 6908
% 1.95/0.63 % (17899)Time elapsed: 0.025 s
% 1.95/0.63 % (17899)Instructions burned: 50 (million)
% 1.95/0.63 % (17899)------------------------------
% 1.95/0.63 % (17899)------------------------------
% 1.95/0.63 % (17895)Instruction limit reached!
% 1.95/0.63 % (17895)------------------------------
% 1.95/0.63 % (17895)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (17898)Instruction limit reached!
% 1.95/0.63 % (17898)------------------------------
% 1.95/0.63 % (17898)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (17898)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63 % (17898)Termination reason: Unknown
% 1.95/0.63 % (17898)Termination phase: Saturation
% 1.95/0.63
% 1.95/0.63 % (17898)Memory used [KB]: 1535
% 1.95/0.63 % (17898)Time elapsed: 0.024 s
% 1.95/0.63 % (17898)Instructions burned: 51 (million)
% 1.95/0.63 % (17898)------------------------------
% 1.95/0.63 % (17898)------------------------------
% 1.95/0.63 % (17894)Instruction limit reached!
% 1.95/0.63 % (17894)------------------------------
% 1.95/0.63 % (17894)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.95/0.63 % (17894)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.95/0.63 % (17894)Termination reason: Unknown
% 1.95/0.63 % (17894)Termination phase: Saturation
% 1.95/0.63
% 1.95/0.63 % (17894)Memory used [KB]: 7036
% 1.95/0.63 % (17894)Time elapsed: 0.207 s
% 1.95/0.63 % (17894)Instructions burned: 49 (million)
% 1.95/0.63 % (17894)------------------------------
% 1.95/0.63 % (17894)------------------------------
% 1.95/0.63 % (17890)Instruction limit reached!
% 1.95/0.63 % (17890)------------------------------
% 1.95/0.63 % (17890)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (17895)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (17895)Termination reason: Unknown
% 2.14/0.64 % (17895)Termination phase: Finite model building preprocessing
% 2.14/0.64
% 2.14/0.64 % (17895)Memory used [KB]: 2430
% 2.14/0.64 % (17895)Time elapsed: 0.035 s
% 2.14/0.64 % (17895)Instructions burned: 52 (million)
% 2.14/0.64 % (17895)------------------------------
% 2.14/0.64 % (17895)------------------------------
% 2.14/0.64 % (17908)Instruction limit reached!
% 2.14/0.64 % (17908)------------------------------
% 2.14/0.64 % (17908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (17890)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (17890)Termination reason: Unknown
% 2.14/0.65 % (17890)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (17890)Memory used [KB]: 6908
% 2.14/0.65 % (17890)Time elapsed: 0.024 s
% 2.14/0.65 % (17890)Instructions burned: 50 (million)
% 2.14/0.65 % (17890)------------------------------
% 2.14/0.65 % (17890)------------------------------
% 2.14/0.66 % (17908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.66 % (17908)Termination reason: Unknown
% 2.14/0.66 % (17908)Termination phase: Finite model building preprocessing
% 2.14/0.66
% 2.14/0.66 % (17908)Memory used [KB]: 2558
% 2.14/0.66 % (17908)Time elapsed: 0.026 s
% 2.14/0.66 % (17908)Instructions burned: 61 (million)
% 2.14/0.66 % (17908)------------------------------
% 2.14/0.66 % (17908)------------------------------
% 2.14/0.67 % (17937)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.14/0.68 % (17917)Instruction limit reached!
% 2.14/0.68 % (17917)------------------------------
% 2.14/0.68 % (17917)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.68 % (17917)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.68 % (17917)Termination reason: Unknown
% 2.14/0.68 % (17917)Termination phase: Saturation
% 2.14/0.68
% 2.14/0.68 % (17917)Memory used [KB]: 7164
% 2.14/0.68 % (17917)Time elapsed: 0.046 s
% 2.14/0.68 % (17917)Instructions burned: 68 (million)
% 2.14/0.68 % (17917)------------------------------
% 2.14/0.68 % (17917)------------------------------
% 2.14/0.69 % (17901)Instruction limit reached!
% 2.14/0.69 % (17901)------------------------------
% 2.14/0.69 % (17901)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.69 % (17901)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.69 % (17901)Termination reason: Unknown
% 2.14/0.69 % (17901)Termination phase: Saturation
% 2.14/0.69
% 2.14/0.69 % (17901)Memory used [KB]: 7931
% 2.14/0.69 % (17901)Time elapsed: 0.043 s
% 2.14/0.69 % (17901)Instructions burned: 101 (million)
% 2.14/0.69 % (17901)------------------------------
% 2.14/0.69 % (17901)------------------------------
% 2.14/0.70 % (17903)Instruction limit reached!
% 2.14/0.70 % (17903)------------------------------
% 2.14/0.70 % (17903)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.70 % (17903)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.70 % (17903)Termination reason: Unknown
% 2.14/0.70 % (17903)Termination phase: Saturation
% 2.14/0.70
% 2.14/0.70 % (17903)Memory used [KB]: 7803
% 2.14/0.70 % (17903)Time elapsed: 0.285 s
% 2.14/0.70 % (17903)Instructions burned: 100 (million)
% 2.14/0.70 % (17903)------------------------------
% 2.14/0.70 % (17903)------------------------------
% 2.58/0.71 % (17936)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.58/0.72 % (17910)Instruction limit reached!
% 2.58/0.72 % (17910)------------------------------
% 2.58/0.72 % (17910)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72 % (17910)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72 % (17910)Termination reason: Unknown
% 2.58/0.72 % (17910)Termination phase: Saturation
% 2.58/0.72
% 2.58/0.72 % (17910)Memory used [KB]: 1663
% 2.58/0.72 % (17910)Time elapsed: 0.262 s
% 2.58/0.72 % (17910)Instructions burned: 101 (million)
% 2.58/0.72 % (17910)------------------------------
% 2.58/0.72 % (17910)------------------------------
% 2.58/0.72 % (17905)Instruction limit reached!
% 2.58/0.72 % (17905)------------------------------
% 2.58/0.72 % (17905)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72 % (17905)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72 % (17905)Termination reason: Unknown
% 2.58/0.72 % (17905)Termination phase: Saturation
% 2.58/0.72
% 2.58/0.72 % (17905)Memory used [KB]: 1791
% 2.58/0.72 % (17905)Time elapsed: 0.037 s
% 2.58/0.72 % (17905)Instructions burned: 76 (million)
% 2.58/0.72 % (17905)------------------------------
% 2.58/0.72 % (17905)------------------------------
% 2.58/0.72 % (17902)Instruction limit reached!
% 2.58/0.72 % (17902)------------------------------
% 2.58/0.72 % (17902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72 % (17902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72 % (17902)Termination reason: Unknown
% 2.58/0.72 % (17902)Termination phase: Saturation
% 2.58/0.72
% 2.58/0.72 % (17902)Memory used [KB]: 7803
% 2.58/0.72 % (17902)Time elapsed: 0.306 s
% 2.58/0.72 % (17902)Instructions burned: 102 (million)
% 2.58/0.72 % (17902)------------------------------
% 2.58/0.72 % (17902)------------------------------
% 2.58/0.73 % (17906)Instruction limit reached!
% 2.58/0.73 % (17906)------------------------------
% 2.58/0.73 % (17906)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (17906)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (17906)Termination reason: Unknown
% 2.58/0.73 % (17906)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (17906)Memory used [KB]: 7164
% 2.58/0.73 % (17906)Time elapsed: 0.313 s
% 2.58/0.73 % (17906)Instructions burned: 99 (million)
% 2.58/0.73 % (17906)------------------------------
% 2.58/0.73 % (17906)------------------------------
% 2.58/0.73 % (17938)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)
% 2.58/0.73 % (17909)Instruction limit reached!
% 2.58/0.73 % (17909)------------------------------
% 2.58/0.73 % (17909)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73 % (17909)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73 % (17909)Termination reason: Unknown
% 2.58/0.73 % (17909)Termination phase: Saturation
% 2.58/0.73
% 2.58/0.73 % (17909)Memory used [KB]: 7803
% 2.58/0.73 % (17909)Time elapsed: 0.049 s
% 2.58/0.73 % (17909)Instructions burned: 101 (million)
% 2.58/0.73 % (17909)------------------------------
% 2.58/0.73 % (17909)------------------------------
% 2.58/0.74 % (17939)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.58/0.74 % (17941)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 (2997ds/747Mi)
% 2.58/0.74 % (17940)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.58/0.75 % (17912)First to succeed.
% 2.58/0.75 TRYING [8]
% 2.58/0.75 % (17942)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 (2997ds/655Mi)
% 2.58/0.76 % (17944)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.58/0.76 % (17943)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 (2997ds/68Mi)
% 2.58/0.76 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.58/0.77 % (17945)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.82/0.77 % (17946)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)
% 2.82/0.78 % (17912)Refutation found. Thanks to Tanya!
% 2.82/0.78 % SZS status Theorem for theBenchmark
% 2.82/0.78 % SZS output start Proof for theBenchmark
% See solution above
% 2.82/0.79 % (17912)------------------------------
% 2.82/0.79 % (17912)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.82/0.79 % (17912)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.82/0.79 % (17912)Termination reason: Refutation
% 2.82/0.79
% 2.82/0.79 % (17912)Memory used [KB]: 8699
% 2.82/0.79 % (17912)Time elapsed: 0.114 s
% 2.82/0.79 % (17912)Instructions burned: 128 (million)
% 2.82/0.79 % (17912)------------------------------
% 2.82/0.79 % (17912)------------------------------
% 2.82/0.79 % (17870)Success in time 0.423 s
%------------------------------------------------------------------------------