TSTP Solution File: ALG132+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG132+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:59 EDT 2022
% Result : Unsatisfiable 2.46s 0.70s
% Output : Refutation 2.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 115
% Syntax : Number of formulae : 1044 ( 55 unt; 0 def)
% Number of atoms : 2945 (1100 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 3524 (1623 ~;1654 |; 149 &)
% ( 98 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 103 ( 101 usr; 102 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3861,plain,
$false,
inference(avatar_sat_refutation,[],[f219,f236,f253,f279,f288,f297,f306,f320,f329,f342,f347,f364,f369,f399,f412,f425,f430,f435,f444,f453,f462,f471,f476,f491,f504,f513,f523,f529,f534,f544,f549,f554,f559,f564,f569,f575,f580,f589,f594,f599,f604,f609,f623,f628,f633,f642,f643,f653,f655,f660,f661,f662,f669,f670,f671,f687,f688,f689,f690,f695,f696,f701,f703,f704,f705,f710,f711,f713,f718,f728,f729,f738,f752,f760,f778,f792,f796,f807,f815,f823,f826,f834,f836,f846,f868,f870,f877,f887,f891,f942,f946,f951,f953,f965,f984,f994,f1004,f1012,f1017,f1019,f1034,f1037,f1045,f1056,f1086,f1097,f1107,f1109,f1116,f1120,f1123,f1137,f1151,f1156,f1163,f1168,f1171,f1196,f1203,f1227,f1254,f1260,f1283,f1291,f1297,f1304,f1312,f1319,f1325,f1365,f1370,f1394,f1432,f1441,f1484,f1488,f1494,f1508,f1511,f1520,f1551,f1586,f1605,f1608,f1638,f1655,f1667,f1674,f1688,f1737,f1753,f1754,f1788,f1818,f1827,f1833,f1844,f1852,f1860,f1863,f1882,f1909,f1916,f1919,f1923,f1937,f1943,f1947,f1995,f2002,f2027,f2031,f2033,f2035,f2037,f2047,f2119,f2122,f2129,f2139,f2145,f2149,f2155,f2157,f2163,f2197,f2219,f2227,f2230,f2235,f2241,f2247,f2258,f2268,f2307,f2311,f2323,f2325,f2340,f2357,f2367,f2382,f2389,f2392,f2411,f2414,f2416,f2418,f2423,f2427,f2431,f2440,f2451,f2454,f2459,f2471,f2483,f2496,f2523,f2525,f2531,f2534,f2539,f2569,f2576,f2585,f2591,f2603,f2605,f2613,f2617,f2619,f2627,f2652,f2662,f2667,f2725,f2731,f2752,f2769,f2781,f2783,f2785,f2804,f2812,f2844,f2848,f2863,f2867,f2879,f2881,f2891,f2964,f2972,f3005,f3015,f3024,f3037,f3046,f3053,f3056,f3075,f3079,f3098,f3122,f3127,f3142,f3158,f3167,f3177,f3189,f3204,f3211,f3217,f3225,f3226,f3228,f3257,f3259,f3264,f3272,f3295,f3299,f3310,f3344,f3348,f3353,f3359,f3360,f3364,f3368,f3379,f3381,f3392,f3479,f3480,f3488,f3552,f3554,f3559,f3561,f3578,f3628,f3688,f3694,f3701,f3705,f3760,f3763,f3766,f3804,f3811,f3821,f3822,f3824,f3826]) ).
fof(f3826,plain,
( ~ spl3_6
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f3825,f493,f225]) ).
fof(f225,plain,
( spl3_6
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f493,plain,
( spl3_66
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_66])]) ).
fof(f3825,plain,
( e2 != op(e0,e2)
| ~ spl3_66 ),
inference(forward_demodulation,[],[f121,f495]) ).
fof(f495,plain,
( e2 = op(e2,e2)
| ~ spl3_66 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f121,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e0,e0) != op(e1,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e2) != op(e3,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e3) != op(e3,e3)
& op(e2,e0) != op(e3,e0)
& op(e3,e0) != op(e3,e1)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e2,e2)
& op(e1,e2) != op(e1,e3)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e3,e3)
& op(e0,e1) != op(e3,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e0) != op(e2,e0)
& op(e3,e2) != op(e3,e3)
& op(e0,e2) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e1) != op(e0,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e3,e2)
& op(e0,e0) != op(e3,e0)
& op(e0,e1) != op(e0,e2)
& op(e2,e0) != op(e2,e2)
& op(e2,e3) != op(e3,e3)
& op(e1,e1) != op(e2,e1)
& op(e1,e1) != op(e1,e2)
& op(e3,e1) != op(e3,e2)
& op(e2,e1) != op(e2,e3)
& op(e0,e1) != op(e2,e1)
& op(e0,e3) != op(e1,e3)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e1) != op(e3,e1)
& op(e0,e0) != op(e0,e1)
& op(e1,e3) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e0) != op(e1,e2)
& op(e2,e2) != op(e2,e3)
& op(e1,e0) != op(e1,e1)
& op(e3,e0) != op(e3,e3)
& op(e0,e0) != op(e0,e3)
& op(e2,e1) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e2,e1) != op(e3,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f3824,plain,
( spl3_18
| ~ spl3_74
| ~ spl3_94 ),
inference(avatar_split_clause,[],[f3721,f630,f531,f276]) ).
fof(f276,plain,
( spl3_18
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f531,plain,
( spl3_74
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_74])]) ).
fof(f630,plain,
( spl3_94
<=> e2 = op(e2,op(e3,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_94])]) ).
fof(f3721,plain,
( e2 = op(e2,e0)
| ~ spl3_74
| ~ spl3_94 ),
inference(forward_demodulation,[],[f632,f533]) ).
fof(f533,plain,
( e0 = op(e3,e2)
| ~ spl3_74 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f632,plain,
( e2 = op(e2,op(e3,e2))
| ~ spl3_94 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f3822,plain,
( ~ spl3_6
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f3818,f229,f225]) ).
fof(f229,plain,
( spl3_7
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f3818,plain,
( e2 != op(e0,e2)
| ~ spl3_7 ),
inference(backward_demodulation,[],[f118,f231]) ).
fof(f231,plain,
( op(e0,e0) = e2
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f118,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3821,plain,
( ~ spl3_18
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f3819,f229,f276]) ).
fof(f3819,plain,
( e2 != op(e2,e0)
| ~ spl3_7 ),
inference(backward_demodulation,[],[f123,f231]) ).
fof(f123,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3811,plain,
( ~ spl3_2
| ~ spl3_43
| ~ spl3_48
| spl3_89 ),
inference(avatar_contradiction_clause,[],[f3810]) ).
fof(f3810,plain,
( $false
| ~ spl3_2
| ~ spl3_43
| ~ spl3_48
| spl3_89 ),
inference(subsumption_resolution,[],[f3809,f411]) ).
fof(f411,plain,
( e0 = op(e2,e3)
| ~ spl3_48 ),
inference(avatar_component_clause,[],[f409]) ).
fof(f409,plain,
( spl3_48
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_48])]) ).
fof(f3809,plain,
( e0 != op(e2,e3)
| ~ spl3_2
| ~ spl3_43
| spl3_89 ),
inference(forward_demodulation,[],[f3808,f210]) ).
fof(f210,plain,
( e2 = op(e1,e3)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f208]) ).
fof(f208,plain,
( spl3_2
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f3808,plain,
( e0 != op(op(e1,e3),e3)
| ~ spl3_43
| spl3_89 ),
inference(forward_demodulation,[],[f608,f390]) ).
fof(f390,plain,
( e3 = op(e1,e1)
| ~ spl3_43 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl3_43
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_43])]) ).
fof(f608,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl3_89 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl3_89
<=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_89])]) ).
fof(f3804,plain,
( ~ spl3_48
| ~ spl3_56
| spl3_76
| ~ spl3_96 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
fof(f3803,plain,
( $false
| ~ spl3_48
| ~ spl3_56
| spl3_76
| ~ spl3_96 ),
inference(subsumption_resolution,[],[f3686,f641]) ).
fof(f641,plain,
( e1 = op(e0,e3)
| ~ spl3_96 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl3_96
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_96])]) ).
fof(f3686,plain,
( e1 != op(e0,e3)
| ~ spl3_48
| ~ spl3_56
| spl3_76 ),
inference(forward_demodulation,[],[f3685,f411]) ).
fof(f3685,plain,
( e1 != op(op(e2,e3),e3)
| ~ spl3_56
| spl3_76 ),
inference(forward_demodulation,[],[f542,f448]) ).
fof(f448,plain,
( e3 = op(e2,e2)
| ~ spl3_56 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl3_56
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_56])]) ).
fof(f542,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl3_76 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl3_76
<=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_76])]) ).
fof(f3766,plain,
( ~ spl3_2
| ~ spl3_43
| spl3_52 ),
inference(avatar_split_clause,[],[f3729,f427,f388,f208]) ).
fof(f427,plain,
( spl3_52
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_52])]) ).
fof(f3729,plain,
( e2 != op(e1,e3)
| ~ spl3_43
| spl3_52 ),
inference(backward_demodulation,[],[f429,f390]) ).
fof(f429,plain,
( e2 != op(e1,op(e1,e1))
| spl3_52 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f3763,plain,
( ~ spl3_104
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f3762,f388,f692]) ).
fof(f692,plain,
( spl3_104
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_104])]) ).
fof(f3762,plain,
( e3 != op(e1,e3)
| ~ spl3_43 ),
inference(forward_demodulation,[],[f134,f390]) ).
fof(f134,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3760,plain,
( ~ spl3_84
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f3759,f246,f582]) ).
fof(f582,plain,
( spl3_84
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_84])]) ).
fof(f246,plain,
( spl3_11
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f3759,plain,
( e3 != op(e0,e2)
| ~ spl3_11 ),
inference(forward_demodulation,[],[f118,f248]) ).
fof(f248,plain,
( op(e0,e0) = e3
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f3705,plain,
( ~ spl3_54
| ~ spl3_100
| spl3_105 ),
inference(avatar_contradiction_clause,[],[f3704]) ).
fof(f3704,plain,
( $false
| ~ spl3_54
| ~ spl3_100
| spl3_105 ),
inference(subsumption_resolution,[],[f3703,f699]) ).
fof(f699,plain,
( e1 != op(e1,e2)
| spl3_105 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f698,plain,
( spl3_105
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_105])]) ).
fof(f3703,plain,
( e1 = op(e1,e2)
| ~ spl3_54
| ~ spl3_100 ),
inference(forward_demodulation,[],[f668,f439]) ).
fof(f439,plain,
( e2 = op(e3,e1)
| ~ spl3_54 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f437,plain,
( spl3_54
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_54])]) ).
fof(f668,plain,
( e1 = op(e1,op(e3,e1))
| ~ spl3_100 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f666,plain,
( spl3_100
<=> e1 = op(e1,op(e3,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_100])]) ).
fof(f3701,plain,
( ~ spl3_16
| ~ spl3_50 ),
inference(avatar_split_clause,[],[f3700,f418,f268]) ).
fof(f268,plain,
( spl3_16
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f418,plain,
( spl3_50
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_50])]) ).
fof(f3700,plain,
( e1 != op(e2,e0)
| ~ spl3_50 ),
inference(forward_demodulation,[],[f132,f420]) ).
fof(f420,plain,
( e1 = op(e3,e0)
| ~ spl3_50 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f132,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3694,plain,
( ~ spl3_12
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f3693,f246,f250]) ).
fof(f250,plain,
( spl3_12
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f3693,plain,
( e3 != op(e3,e0)
| ~ spl3_11 ),
inference(forward_demodulation,[],[f113,f248]) ).
fof(f113,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3688,plain,
( ~ spl3_16
| ~ spl3_69 ),
inference(avatar_split_clause,[],[f3687,f506,f268]) ).
fof(f506,plain,
( spl3_69
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_69])]) ).
fof(f3687,plain,
( e1 != op(e2,e0)
| ~ spl3_69 ),
inference(forward_demodulation,[],[f130,f508]) ).
fof(f508,plain,
( e1 = op(e2,e1)
| ~ spl3_69 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f130,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3628,plain,
( ~ spl3_48
| ~ spl3_51
| ~ spl3_87 ),
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3627,plain,
( $false
| ~ spl3_48
| ~ spl3_51
| ~ spl3_87 ),
inference(subsumption_resolution,[],[f3626,f195]) ).
fof(f195,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e3
& e1 != e2
& e0 != e1
& e2 != e3
& e1 != e3
& e0 != e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f3626,plain,
( e2 = e3
| ~ spl3_48
| ~ spl3_51
| ~ spl3_87 ),
inference(forward_demodulation,[],[f3622,f424]) ).
fof(f424,plain,
( e2 = op(e3,e0)
| ~ spl3_51 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f422,plain,
( spl3_51
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_51])]) ).
fof(f3622,plain,
( e3 = op(e3,e0)
| ~ spl3_48
| ~ spl3_87 ),
inference(backward_demodulation,[],[f598,f411]) ).
fof(f598,plain,
( e3 = op(e3,op(e2,e3))
| ~ spl3_87 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl3_87
<=> e3 = op(e3,op(e2,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_87])]) ).
fof(f3578,plain,
( ~ spl3_42
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f3577,f392,f384]) ).
fof(f384,plain,
( spl3_42
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_42])]) ).
fof(f392,plain,
( spl3_44
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_44])]) ).
fof(f3577,plain,
( e3 != op(e0,e1)
| ~ spl3_44 ),
inference(forward_demodulation,[],[f105,f394]) ).
fof(f394,plain,
( e3 = op(e2,e1)
| ~ spl3_44 ),
inference(avatar_component_clause,[],[f392]) ).
fof(f105,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3561,plain,
( ~ spl3_79
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f3560,f635,f556]) ).
fof(f556,plain,
( spl3_79
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_79])]) ).
fof(f635,plain,
( spl3_95
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_95])]) ).
fof(f3560,plain,
( e1 != op(e1,e1)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f134,f637]) ).
fof(f637,plain,
( e1 = op(e1,e3)
| ~ spl3_95 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f3559,plain,
( ~ spl3_45
| ~ spl3_95
| spl3_107 ),
inference(avatar_split_clause,[],[f3558,f715,f635,f396]) ).
fof(f396,plain,
( spl3_45
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_45])]) ).
fof(f715,plain,
( spl3_107
<=> e3 = op(e3,op(e1,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_107])]) ).
fof(f3558,plain,
( e3 != op(e3,e1)
| ~ spl3_95
| spl3_107 ),
inference(forward_demodulation,[],[f716,f637]) ).
fof(f716,plain,
( e3 != op(e3,op(e1,e3))
| spl3_107 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f3554,plain,
( ~ spl3_10
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f3553,f246,f242]) ).
fof(f242,plain,
( spl3_10
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f3553,plain,
( e3 != op(e1,e0)
| ~ spl3_11 ),
inference(forward_demodulation,[],[f137,f248]) ).
fof(f137,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3552,plain,
( ~ spl3_59
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f3510,f455,f459]) ).
fof(f459,plain,
( spl3_59
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_59])]) ).
fof(f455,plain,
( spl3_58
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_58])]) ).
fof(f3510,plain,
( e3 != op(e3,e2)
| ~ spl3_58 ),
inference(forward_demodulation,[],[f122,f457]) ).
fof(f457,plain,
( e3 = op(e3,e3)
| ~ spl3_58 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f122,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3488,plain,
( ~ spl3_35
| ~ spl3_44
| ~ spl3_67
| spl3_81 ),
inference(avatar_split_clause,[],[f3487,f566,f497,f392,f353]) ).
fof(f353,plain,
( spl3_35
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_35])]) ).
fof(f497,plain,
( spl3_67
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_67])]) ).
fof(f566,plain,
( spl3_81
<=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_81])]) ).
fof(f3487,plain,
( e0 != op(e3,e1)
| ~ spl3_44
| ~ spl3_67
| spl3_81 ),
inference(forward_demodulation,[],[f3464,f394]) ).
fof(f3464,plain,
( e0 != op(op(e2,e1),e1)
| ~ spl3_67
| spl3_81 ),
inference(backward_demodulation,[],[f568,f499]) ).
fof(f499,plain,
( e1 = op(e2,e2)
| ~ spl3_67 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f568,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl3_81 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f3480,plain,
( spl3_12
| ~ spl3_47
| ~ spl3_107 ),
inference(avatar_split_clause,[],[f3291,f715,f405,f250]) ).
fof(f405,plain,
( spl3_47
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_47])]) ).
fof(f3291,plain,
( e3 = op(e3,e0)
| ~ spl3_47
| ~ spl3_107 ),
inference(backward_demodulation,[],[f717,f407]) ).
fof(f407,plain,
( e0 = op(e1,e3)
| ~ spl3_47 ),
inference(avatar_component_clause,[],[f405]) ).
fof(f717,plain,
( e3 = op(e3,op(e1,e3))
| ~ spl3_107 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f3479,plain,
( ~ spl3_51
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3478,f216,f422]) ).
fof(f216,plain,
( spl3_4
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f3478,plain,
( e2 != op(e3,e0)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f136,f218]) ).
fof(f218,plain,
( e2 = op(e1,e0)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f136,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f3392,plain,
( ~ spl3_68
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f3389,f357,f501]) ).
fof(f501,plain,
( spl3_68
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_68])]) ).
fof(f357,plain,
( spl3_36
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_36])]) ).
fof(f3389,plain,
( e0 != op(e2,e2)
| ~ spl3_36 ),
inference(backward_demodulation,[],[f92,f359]) ).
fof(f359,plain,
( e0 = op(e2,e1)
| ~ spl3_36 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f92,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3381,plain,
( ~ spl3_66
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f3377,f322,f493]) ).
fof(f322,plain,
( spl3_28
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_28])]) ).
fof(f3377,plain,
( e2 != op(e2,e2)
| ~ spl3_28 ),
inference(backward_demodulation,[],[f96,f324]) ).
fof(f324,plain,
( e2 = op(e2,e3)
| ~ spl3_28 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f96,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3379,plain,
( ~ spl3_92
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f3376,f322,f620]) ).
fof(f620,plain,
( spl3_92
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_92])]) ).
fof(f3376,plain,
( e2 != op(e2,e1)
| ~ spl3_28 ),
inference(backward_demodulation,[],[f106,f324]) ).
fof(f106,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3368,plain,
( ~ spl3_68
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f3367,f515,f501]) ).
fof(f515,plain,
( spl3_71
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_71])]) ).
fof(f3367,plain,
( e0 != op(e2,e2)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f121,f517]) ).
fof(f517,plain,
( e0 = op(e0,e2)
| ~ spl3_71 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f3364,plain,
( ~ spl3_23
| ~ spl3_49 ),
inference(avatar_split_clause,[],[f3362,f414,f299]) ).
fof(f299,plain,
( spl3_23
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_23])]) ).
fof(f414,plain,
( spl3_49
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_49])]) ).
fof(f3362,plain,
( e0 != op(e0,e0)
| ~ spl3_49 ),
inference(backward_demodulation,[],[f113,f416]) ).
fof(f416,plain,
( e0 = op(e3,e0)
| ~ spl3_49 ),
inference(avatar_component_clause,[],[f414]) ).
fof(f3360,plain,
( ~ spl3_55
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f3331,f259,f441]) ).
fof(f441,plain,
( spl3_55
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_55])]) ).
fof(f259,plain,
( spl3_14
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f3331,plain,
( e1 != op(e3,e1)
| ~ spl3_14 ),
inference(forward_demodulation,[],[f126,f260]) ).
fof(f260,plain,
( e1 = op(e3,e3)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f126,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3359,plain,
( ~ spl3_57
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f3358,f238,f450]) ).
fof(f450,plain,
( spl3_57
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_57])]) ).
fof(f238,plain,
( spl3_9
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f3358,plain,
( e3 != op(e2,e3)
| ~ spl3_9 ),
inference(forward_demodulation,[],[f120,f240]) ).
fof(f240,plain,
( e3 = op(e2,e0)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f120,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3353,plain,
( ~ spl3_92
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f3352,f233,f620]) ).
fof(f233,plain,
( spl3_8
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f3352,plain,
( e2 != op(e2,e1)
| ~ spl3_8 ),
inference(backward_demodulation,[],[f105,f235]) ).
fof(f235,plain,
( e2 = op(e0,e1)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f233]) ).
fof(f3348,plain,
( ~ spl3_44
| ~ spl3_45 ),
inference(avatar_split_clause,[],[f3347,f396,f392]) ).
fof(f3347,plain,
( e3 != op(e2,e1)
| ~ spl3_45 ),
inference(backward_demodulation,[],[f90,f398]) ).
fof(f398,plain,
( e3 = op(e3,e1)
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f396]) ).
fof(f90,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3344,plain,
( ~ spl3_12
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f3343,f238,f250]) ).
fof(f3343,plain,
( e3 != op(e3,e0)
| ~ spl3_9 ),
inference(backward_demodulation,[],[f132,f240]) ).
fof(f3310,plain,
( ~ spl3_47
| ~ spl3_95 ),
inference(avatar_contradiction_clause,[],[f3309]) ).
fof(f3309,plain,
( $false
| ~ spl3_47
| ~ spl3_95 ),
inference(subsumption_resolution,[],[f3308,f196]) ).
fof(f196,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f3308,plain,
( e0 = e1
| ~ spl3_47
| ~ spl3_95 ),
inference(forward_demodulation,[],[f637,f407]) ).
fof(f3299,plain,
( ~ spl3_1
| spl3_66
| ~ spl3_103 ),
inference(avatar_contradiction_clause,[],[f3298]) ).
fof(f3298,plain,
( $false
| ~ spl3_1
| spl3_66
| ~ spl3_103 ),
inference(subsumption_resolution,[],[f3297,f494]) ).
fof(f494,plain,
( e2 != op(e2,e2)
| spl3_66 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f3297,plain,
( e2 = op(e2,e2)
| ~ spl3_1
| ~ spl3_103 ),
inference(forward_demodulation,[],[f686,f206]) ).
fof(f206,plain,
( e2 = op(e1,e2)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f204,plain,
( spl3_1
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f686,plain,
( e2 = op(e2,op(e1,e2))
| ~ spl3_103 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl3_103
<=> e2 = op(e2,op(e1,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_103])]) ).
fof(f3295,plain,
( ~ spl3_47
| ~ spl3_51
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f3294]) ).
fof(f3294,plain,
( $false
| ~ spl3_47
| ~ spl3_51
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f3293,f195]) ).
fof(f3293,plain,
( e2 = e3
| ~ spl3_47
| ~ spl3_51
| ~ spl3_107 ),
inference(forward_demodulation,[],[f3291,f424]) ).
fof(f3272,plain,
( spl3_95
| ~ spl3_30
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f3271,f388,f331,f635]) ).
fof(f331,plain,
( spl3_30
<=> e1 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_30])]) ).
fof(f3271,plain,
( e1 = op(e1,e3)
| ~ spl3_30
| ~ spl3_43 ),
inference(forward_demodulation,[],[f333,f390]) ).
fof(f333,plain,
( e1 = op(e1,op(e1,e1))
| ~ spl3_30 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f3264,plain,
( ~ spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f3263,f204,f212]) ).
fof(f212,plain,
( spl3_3
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f3263,plain,
( e2 != op(e1,e1)
| ~ spl3_1 ),
inference(forward_demodulation,[],[f108,f206]) ).
fof(f108,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3259,plain,
( ~ spl3_45
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f3250,f388,f396]) ).
fof(f3250,plain,
( e3 != op(e3,e1)
| ~ spl3_43 ),
inference(backward_demodulation,[],[f101,f390]) ).
fof(f101,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3257,plain,
( ~ spl3_5
| ~ spl3_26
| ~ spl3_43
| spl3_73 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3256,plain,
( $false
| ~ spl3_5
| ~ spl3_26
| ~ spl3_43
| spl3_73 ),
inference(subsumption_resolution,[],[f3254,f223]) ).
fof(f223,plain,
( e2 = op(e0,e3)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f221,plain,
( spl3_5
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f3254,plain,
( e2 != op(e0,e3)
| ~ spl3_26
| ~ spl3_43
| spl3_73 ),
inference(backward_demodulation,[],[f3231,f390]) ).
fof(f3231,plain,
( e2 != op(e0,op(e1,e1))
| ~ spl3_26
| spl3_73 ),
inference(forward_demodulation,[],[f528,f314]) ).
fof(f314,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl3_26 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f313,plain,
( spl3_26
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_26])]) ).
fof(f528,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl3_73 ),
inference(avatar_component_clause,[],[f526]) ).
fof(f526,plain,
( spl3_73
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_73])]) ).
fof(f3228,plain,
( ~ spl3_66
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f3227,f620,f493]) ).
fof(f3227,plain,
( e2 != op(e2,e2)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f92,f622]) ).
fof(f622,plain,
( e2 = op(e2,e1)
| ~ spl3_92 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f3226,plain,
( spl3_23
| ~ spl3_61
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f3222,f707,f468,f299]) ).
fof(f468,plain,
( spl3_61
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_61])]) ).
fof(f707,plain,
( spl3_106
<=> e0 = op(e0,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_106])]) ).
fof(f3222,plain,
( e0 = op(e0,e0)
| ~ spl3_61
| ~ spl3_106 ),
inference(backward_demodulation,[],[f709,f470]) ).
fof(f470,plain,
( e0 = op(e1,e0)
| ~ spl3_61 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f709,plain,
( e0 = op(e0,op(e1,e0))
| ~ spl3_106 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f3225,plain,
( ~ spl3_23
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f3219,f468,f299]) ).
fof(f3219,plain,
( e0 != op(e0,e0)
| ~ spl3_61 ),
inference(backward_demodulation,[],[f137,f470]) ).
fof(f3217,plain,
( ~ spl3_3
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f3216,f620,f212]) ).
fof(f3216,plain,
( e2 != op(e1,e1)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f109,f622]) ).
fof(f109,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3211,plain,
( ~ spl3_54
| ~ spl3_14
| spl3_41 ),
inference(avatar_split_clause,[],[f3210,f379,f259,f437]) ).
fof(f379,plain,
( spl3_41
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_41])]) ).
fof(f3210,plain,
( e2 != op(e3,e1)
| ~ spl3_14
| spl3_41 ),
inference(forward_demodulation,[],[f381,f260]) ).
fof(f381,plain,
( e2 != op(e3,op(e3,e3))
| spl3_41 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f3204,plain,
( ~ spl3_54
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f3203,f620,f437]) ).
fof(f3203,plain,
( e2 != op(e3,e1)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f90,f622]) ).
fof(f3189,plain,
( ~ spl3_98
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f3188,f259,f650]) ).
fof(f650,plain,
( spl3_98
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_98])]) ).
fof(f3188,plain,
( e1 != op(e3,e2)
| ~ spl3_14 ),
inference(forward_demodulation,[],[f122,f260]) ).
fof(f3177,plain,
( ~ spl3_36
| ~ spl3_14
| ~ spl3_54
| spl3_72 ),
inference(avatar_split_clause,[],[f3176,f520,f437,f259,f357]) ).
fof(f520,plain,
( spl3_72
<=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_72])]) ).
fof(f3176,plain,
( e0 != op(e2,e1)
| ~ spl3_14
| ~ spl3_54
| spl3_72 ),
inference(forward_demodulation,[],[f3175,f439]) ).
fof(f3175,plain,
( e0 != op(op(e3,e1),e1)
| ~ spl3_14
| spl3_72 ),
inference(forward_demodulation,[],[f522,f260]) ).
fof(f522,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl3_72 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f3167,plain,
( ~ spl3_30
| ~ spl3_37
| spl3_60 ),
inference(avatar_contradiction_clause,[],[f3166]) ).
fof(f3166,plain,
( $false
| ~ spl3_30
| ~ spl3_37
| spl3_60 ),
inference(subsumption_resolution,[],[f3165,f465]) ).
fof(f465,plain,
( e1 != op(e1,e0)
| spl3_60 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl3_60
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_60])]) ).
fof(f3165,plain,
( e1 = op(e1,e0)
| ~ spl3_30
| ~ spl3_37 ),
inference(forward_demodulation,[],[f333,f363]) ).
fof(f363,plain,
( e0 = op(e1,e1)
| ~ spl3_37 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f361,plain,
( spl3_37
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_37])]) ).
fof(f3158,plain,
( ~ spl3_14
| ~ spl3_104
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f3157]) ).
fof(f3157,plain,
( $false
| ~ spl3_14
| ~ spl3_104
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f3156,f194]) ).
fof(f194,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f3156,plain,
( e1 = e3
| ~ spl3_14
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f3155,f260]) ).
fof(f3155,plain,
( e3 = op(e3,e3)
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f717,f694]) ).
fof(f694,plain,
( e3 = op(e1,e3)
| ~ spl3_104 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f3142,plain,
( ~ spl3_2
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3141,f216,f208]) ).
fof(f3141,plain,
( e2 != op(e1,e3)
| ~ spl3_4 ),
inference(forward_demodulation,[],[f103,f218]) ).
fof(f103,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3127,plain,
( spl3_92
| ~ spl3_103
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f3126,f698,f684,f620]) ).
fof(f3126,plain,
( e2 = op(e2,e1)
| ~ spl3_103
| ~ spl3_105 ),
inference(forward_demodulation,[],[f686,f700]) ).
fof(f700,plain,
( e1 = op(e1,e2)
| ~ spl3_105 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f3122,plain,
( spl3_28
| ~ spl3_59
| ~ spl3_94 ),
inference(avatar_contradiction_clause,[],[f3121]) ).
fof(f3121,plain,
( $false
| spl3_28
| ~ spl3_59
| ~ spl3_94 ),
inference(subsumption_resolution,[],[f3025,f323]) ).
fof(f323,plain,
( e2 != op(e2,e3)
| spl3_28 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f3025,plain,
( e2 = op(e2,e3)
| ~ spl3_59
| ~ spl3_94 ),
inference(forward_demodulation,[],[f632,f461]) ).
fof(f461,plain,
( e3 = op(e3,e2)
| ~ spl3_59 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f3098,plain,
( ~ spl3_14
| ~ spl3_53
| ~ spl3_54 ),
inference(avatar_contradiction_clause,[],[f3097]) ).
fof(f3097,plain,
( $false
| ~ spl3_14
| ~ spl3_53
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f3096,f195]) ).
fof(f3096,plain,
( e2 = e3
| ~ spl3_14
| ~ spl3_53
| ~ spl3_54 ),
inference(forward_demodulation,[],[f3094,f439]) ).
fof(f3094,plain,
( e3 = op(e3,e1)
| ~ spl3_14
| ~ spl3_53 ),
inference(backward_demodulation,[],[f434,f260]) ).
fof(f434,plain,
( e3 = op(e3,op(e3,e3))
| ~ spl3_53 ),
inference(avatar_component_clause,[],[f432]) ).
fof(f432,plain,
( spl3_53
<=> e3 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_53])]) ).
fof(f3079,plain,
( spl3_26
| ~ spl3_43
| ~ spl3_47 ),
inference(avatar_contradiction_clause,[],[f3078]) ).
fof(f3078,plain,
( $false
| spl3_26
| ~ spl3_43
| ~ spl3_47 ),
inference(subsumption_resolution,[],[f3077,f407]) ).
fof(f3077,plain,
( e0 != op(e1,e3)
| spl3_26
| ~ spl3_43 ),
inference(forward_demodulation,[],[f315,f390]) ).
fof(f315,plain,
( e0 != op(e1,op(e1,e1))
| spl3_26 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f3075,plain,
( ~ spl3_7
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f3074,f221,f229]) ).
fof(f3074,plain,
( op(e0,e0) != e2
| ~ spl3_5 ),
inference(forward_demodulation,[],[f93,f223]) ).
fof(f93,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3056,plain,
( spl3_23
| ~ spl3_49
| ~ spl3_83 ),
inference(avatar_contradiction_clause,[],[f3055]) ).
fof(f3055,plain,
( $false
| spl3_23
| ~ spl3_49
| ~ spl3_83 ),
inference(subsumption_resolution,[],[f3054,f300]) ).
fof(f300,plain,
( e0 != op(e0,e0)
| spl3_23 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f3054,plain,
( e0 = op(e0,e0)
| ~ spl3_49
| ~ spl3_83 ),
inference(forward_demodulation,[],[f579,f416]) ).
fof(f579,plain,
( e0 = op(e0,op(e3,e0))
| ~ spl3_83 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl3_83
<=> e0 = op(e0,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_83])]) ).
fof(f3053,plain,
( ~ spl3_44
| ~ spl3_57 ),
inference(avatar_split_clause,[],[f3052,f450,f392]) ).
fof(f3052,plain,
( e3 != op(e2,e1)
| ~ spl3_57 ),
inference(forward_demodulation,[],[f106,f452]) ).
fof(f452,plain,
( e3 = op(e2,e3)
| ~ spl3_57 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f3046,plain,
( ~ spl3_3
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f3045,f216,f212]) ).
fof(f3045,plain,
( e2 != op(e1,e1)
| ~ spl3_4 ),
inference(backward_demodulation,[],[f95,f218]) ).
fof(f95,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3037,plain,
( ~ spl3_35
| ~ spl3_49 ),
inference(avatar_split_clause,[],[f3036,f414,f353]) ).
fof(f3036,plain,
( e0 != op(e3,e1)
| ~ spl3_49 ),
inference(forward_demodulation,[],[f131,f416]) ).
fof(f131,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3024,plain,
( spl3_34
| ~ spl3_50
| ~ spl3_83 ),
inference(avatar_contradiction_clause,[],[f3023]) ).
fof(f3023,plain,
( $false
| spl3_34
| ~ spl3_50
| ~ spl3_83 ),
inference(subsumption_resolution,[],[f3022,f350]) ).
fof(f350,plain,
( e0 != op(e0,e1)
| spl3_34 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f349,plain,
( spl3_34
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_34])]) ).
fof(f3022,plain,
( e0 = op(e0,e1)
| ~ spl3_50
| ~ spl3_83 ),
inference(forward_demodulation,[],[f579,f420]) ).
fof(f3015,plain,
( ~ spl3_60
| ~ spl3_50 ),
inference(avatar_split_clause,[],[f3014,f418,f464]) ).
fof(f3014,plain,
( e1 != op(e1,e0)
| ~ spl3_50 ),
inference(forward_demodulation,[],[f136,f420]) ).
fof(f3005,plain,
( spl3_60
| ~ spl3_35
| ~ spl3_100 ),
inference(avatar_split_clause,[],[f2947,f666,f353,f464]) ).
fof(f2947,plain,
( e1 = op(e1,e0)
| ~ spl3_35
| ~ spl3_100 ),
inference(backward_demodulation,[],[f668,f355]) ).
fof(f355,plain,
( e0 = op(e3,e1)
| ~ spl3_35 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f2972,plain,
( ~ spl3_98
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f2971,f698,f650]) ).
fof(f2971,plain,
( e1 != op(e3,e2)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f135,f700]) ).
fof(f135,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2964,plain,
( ~ spl3_60
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f2962,f698,f464]) ).
fof(f2962,plain,
( e1 != op(e1,e0)
| ~ spl3_105 ),
inference(backward_demodulation,[],[f97,f700]) ).
fof(f97,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2891,plain,
( ~ spl3_29
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f2889,f221,f326]) ).
fof(f326,plain,
( spl3_29
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_29])]) ).
fof(f2889,plain,
( e2 != op(e3,e3)
| ~ spl3_5 ),
inference(backward_demodulation,[],[f116,f223]) ).
fof(f116,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2881,plain,
( ~ spl3_9
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f2873,f246,f238]) ).
fof(f2873,plain,
( e3 != op(e2,e0)
| ~ spl3_11 ),
inference(backward_demodulation,[],[f123,f248]) ).
fof(f2879,plain,
( ~ spl3_88
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f2872,f246,f601]) ).
fof(f601,plain,
( spl3_88
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_88])]) ).
fof(f2872,plain,
( e3 != op(e0,e3)
| ~ spl3_11 ),
inference(backward_demodulation,[],[f93,f248]) ).
fof(f2867,plain,
( ~ spl3_46
| ~ spl3_71 ),
inference(avatar_split_clause,[],[f2866,f515,f401]) ).
fof(f401,plain,
( spl3_46
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_46])]) ).
fof(f2866,plain,
( e0 != op(e0,e3)
| ~ spl3_71 ),
inference(forward_demodulation,[],[f124,f517]) ).
fof(f124,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2863,plain,
( spl3_92
| ~ spl3_94
| ~ spl3_98 ),
inference(avatar_split_clause,[],[f2862,f650,f630,f620]) ).
fof(f2862,plain,
( e2 = op(e2,e1)
| ~ spl3_94
| ~ spl3_98 ),
inference(forward_demodulation,[],[f632,f652]) ).
fof(f652,plain,
( e1 = op(e3,e2)
| ~ spl3_98 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f2848,plain,
( ~ spl3_66
| spl3_67
| ~ spl3_76 ),
inference(avatar_contradiction_clause,[],[f2847]) ).
fof(f2847,plain,
( $false
| ~ spl3_66
| spl3_67
| ~ spl3_76 ),
inference(subsumption_resolution,[],[f2846,f498]) ).
fof(f498,plain,
( e1 != op(e2,e2)
| spl3_67 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f2846,plain,
( e1 = op(e2,e2)
| ~ spl3_66
| ~ spl3_76 ),
inference(forward_demodulation,[],[f2845,f495]) ).
fof(f2845,plain,
( e1 = op(op(e2,e2),e2)
| ~ spl3_66
| ~ spl3_76 ),
inference(forward_demodulation,[],[f541,f495]) ).
fof(f541,plain,
( e1 = op(op(e2,op(e2,e2)),op(e2,e2))
| ~ spl3_76 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f2844,plain,
( ~ spl3_29
| ~ spl3_104
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f2843]) ).
fof(f2843,plain,
( $false
| ~ spl3_29
| ~ spl3_104
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f2842,f195]) ).
fof(f2842,plain,
( e2 = e3
| ~ spl3_29
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2841,f328]) ).
fof(f328,plain,
( e2 = op(e3,e3)
| ~ spl3_29 ),
inference(avatar_component_clause,[],[f326]) ).
fof(f2841,plain,
( e3 = op(e3,e3)
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f717,f694]) ).
fof(f2812,plain,
( ~ spl3_3
| spl3_27
| ~ spl3_82
| ~ spl3_84 ),
inference(avatar_contradiction_clause,[],[f2811]) ).
fof(f2811,plain,
( $false
| ~ spl3_3
| spl3_27
| ~ spl3_82
| ~ spl3_84 ),
inference(subsumption_resolution,[],[f2810,f584]) ).
fof(f584,plain,
( e3 = op(e0,e2)
| ~ spl3_84 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f2810,plain,
( e3 != op(e0,e2)
| ~ spl3_3
| spl3_27
| ~ spl3_82 ),
inference(forward_demodulation,[],[f2807,f573]) ).
fof(f573,plain,
( e0 = op(e1,e2)
| ~ spl3_82 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f571,plain,
( spl3_82
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_82])]) ).
fof(f2807,plain,
( e3 != op(op(e1,e2),e2)
| ~ spl3_3
| spl3_27 ),
inference(backward_demodulation,[],[f319,f214]) ).
fof(f214,plain,
( e2 = op(e1,e1)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f212]) ).
fof(f319,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl3_27 ),
inference(avatar_component_clause,[],[f317]) ).
fof(f317,plain,
( spl3_27
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_27])]) ).
fof(f2804,plain,
( ~ spl3_35
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f2803,f357,f353]) ).
fof(f2803,plain,
( e0 != op(e3,e1)
| ~ spl3_36 ),
inference(forward_demodulation,[],[f90,f359]) ).
fof(f2785,plain,
( ~ spl3_54
| ~ spl3_29 ),
inference(avatar_split_clause,[],[f2784,f326,f437]) ).
fof(f2784,plain,
( e2 != op(e3,e1)
| ~ spl3_29 ),
inference(forward_demodulation,[],[f126,f328]) ).
fof(f2783,plain,
( ~ spl3_67
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f2782,f510,f497]) ).
fof(f510,plain,
( spl3_70
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_70])]) ).
fof(f2782,plain,
( e1 != op(e2,e2)
| ~ spl3_70 ),
inference(forward_demodulation,[],[f96,f512]) ).
fof(f512,plain,
( e1 = op(e2,e3)
| ~ spl3_70 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f2781,plain,
( spl3_18
| ~ spl3_82
| ~ spl3_103 ),
inference(avatar_contradiction_clause,[],[f2780]) ).
fof(f2780,plain,
( $false
| spl3_18
| ~ spl3_82
| ~ spl3_103 ),
inference(subsumption_resolution,[],[f2778,f277]) ).
fof(f277,plain,
( e2 != op(e2,e0)
| spl3_18 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f2778,plain,
( e2 = op(e2,e0)
| ~ spl3_82
| ~ spl3_103 ),
inference(backward_demodulation,[],[f686,f573]) ).
fof(f2769,plain,
( ~ spl3_2
| ~ spl3_29 ),
inference(avatar_split_clause,[],[f2768,f326,f208]) ).
fof(f2768,plain,
( e2 != op(e1,e3)
| ~ spl3_29 ),
inference(forward_demodulation,[],[f133,f328]) ).
fof(f133,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2752,plain,
( spl3_45
| ~ spl3_70
| ~ spl3_87 ),
inference(avatar_split_clause,[],[f2717,f596,f510,f396]) ).
fof(f2717,plain,
( e3 = op(e3,e1)
| ~ spl3_70
| ~ spl3_87 ),
inference(forward_demodulation,[],[f598,f512]) ).
fof(f2731,plain,
( ~ spl3_2
| ~ spl3_97
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f2730]) ).
fof(f2730,plain,
( $false
| ~ spl3_2
| ~ spl3_97
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f2729,f195]) ).
fof(f2729,plain,
( e2 = e3
| ~ spl3_2
| ~ spl3_97
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2728,f648]) ).
fof(f648,plain,
( e2 = op(e3,e2)
| ~ spl3_97 ),
inference(avatar_component_clause,[],[f646]) ).
fof(f646,plain,
( spl3_97
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_97])]) ).
fof(f2728,plain,
( e3 = op(e3,e2)
| ~ spl3_2
| ~ spl3_107 ),
inference(forward_demodulation,[],[f717,f210]) ).
fof(f2725,plain,
( spl3_18
| ~ spl3_68
| ~ spl3_80 ),
inference(avatar_contradiction_clause,[],[f2724]) ).
fof(f2724,plain,
( $false
| spl3_18
| ~ spl3_68
| ~ spl3_80 ),
inference(subsumption_resolution,[],[f2723,f277]) ).
fof(f2723,plain,
( e2 = op(e2,e0)
| ~ spl3_68
| ~ spl3_80 ),
inference(forward_demodulation,[],[f563,f503]) ).
fof(f503,plain,
( e0 = op(e2,e2)
| ~ spl3_68 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f563,plain,
( e2 = op(e2,op(e2,e2))
| ~ spl3_80 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl3_80
<=> e2 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_80])]) ).
fof(f2667,plain,
( ~ spl3_16
| ~ spl3_68
| spl3_101 ),
inference(avatar_split_clause,[],[f2666,f674,f501,f268]) ).
fof(f674,plain,
( spl3_101
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_101])]) ).
fof(f2666,plain,
( e1 != op(e2,e0)
| ~ spl3_68
| spl3_101 ),
inference(forward_demodulation,[],[f676,f503]) ).
fof(f676,plain,
( e1 != op(e2,op(e2,e2))
| spl3_101 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f2662,plain,
( ~ spl3_69
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f2661,f510,f506]) ).
fof(f2661,plain,
( e1 != op(e2,e1)
| ~ spl3_70 ),
inference(backward_demodulation,[],[f106,f512]) ).
fof(f2652,plain,
( ~ spl3_24
| ~ spl3_50 ),
inference(avatar_split_clause,[],[f2650,f418,f303]) ).
fof(f303,plain,
( spl3_24
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f2650,plain,
( op(e0,e0) != e1
| ~ spl3_50 ),
inference(backward_demodulation,[],[f113,f420]) ).
fof(f2627,plain,
( ~ spl3_88
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f2626,f455,f601]) ).
fof(f2626,plain,
( e3 != op(e0,e3)
| ~ spl3_58 ),
inference(forward_demodulation,[],[f116,f457]) ).
fof(f2619,plain,
( ~ spl3_69
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f2618,f473,f506]) ).
fof(f473,plain,
( spl3_62
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_62])]) ).
fof(f2618,plain,
( e1 != op(e2,e1)
| ~ spl3_62 ),
inference(backward_demodulation,[],[f105,f475]) ).
fof(f475,plain,
( e1 = op(e0,e1)
| ~ spl3_62 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f2617,plain,
( ~ spl3_42
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f2616,f582,f384]) ).
fof(f2616,plain,
( e3 != op(e0,e1)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f112,f584]) ).
fof(f112,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2613,plain,
( ~ spl3_45
| ~ spl3_58 ),
inference(avatar_split_clause,[],[f2611,f455,f396]) ).
fof(f2611,plain,
( e3 != op(e3,e1)
| ~ spl3_58 ),
inference(backward_demodulation,[],[f126,f457]) ).
fof(f2605,plain,
( ~ spl3_56
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f2604,f582,f446]) ).
fof(f2604,plain,
( e3 != op(e2,e2)
| ~ spl3_84 ),
inference(forward_demodulation,[],[f121,f584]) ).
fof(f2603,plain,
( spl3_46
| ~ spl3_9
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f2602,f290,f238,f401]) ).
fof(f290,plain,
( spl3_21
<=> e0 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f2602,plain,
( e0 = op(e0,e3)
| ~ spl3_9
| ~ spl3_21 ),
inference(forward_demodulation,[],[f292,f240]) ).
fof(f292,plain,
( e0 = op(e0,op(e2,e0))
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f2591,plain,
( ~ spl3_43
| ~ spl3_52
| ~ spl3_95 ),
inference(avatar_contradiction_clause,[],[f2590]) ).
fof(f2590,plain,
( $false
| ~ spl3_43
| ~ spl3_52
| ~ spl3_95 ),
inference(subsumption_resolution,[],[f2589,f197]) ).
fof(f197,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2589,plain,
( e1 = e2
| ~ spl3_43
| ~ spl3_52
| ~ spl3_95 ),
inference(forward_demodulation,[],[f2588,f637]) ).
fof(f2588,plain,
( e2 = op(e1,e3)
| ~ spl3_43
| ~ spl3_52 ),
inference(forward_demodulation,[],[f428,f390]) ).
fof(f428,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl3_52 ),
inference(avatar_component_clause,[],[f427]) ).
fof(f2585,plain,
( ~ spl3_56
| ~ spl3_93 ),
inference(avatar_contradiction_clause,[],[f2584]) ).
fof(f2584,plain,
( $false
| ~ spl3_56
| ~ spl3_93 ),
inference(subsumption_resolution,[],[f2428,f448]) ).
fof(f2428,plain,
( e3 != op(e2,e2)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f129,f627]) ).
fof(f627,plain,
( e3 = op(e1,e2)
| ~ spl3_93 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f625,plain,
( spl3_93
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_93])]) ).
fof(f129,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2576,plain,
( ~ spl3_37
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f2575,f357,f361]) ).
fof(f2575,plain,
( e0 != op(e1,e1)
| ~ spl3_36 ),
inference(forward_demodulation,[],[f109,f359]) ).
fof(f2569,plain,
( ~ spl3_56
| spl3_70
| ~ spl3_101 ),
inference(avatar_contradiction_clause,[],[f2568]) ).
fof(f2568,plain,
( $false
| ~ spl3_56
| spl3_70
| ~ spl3_101 ),
inference(subsumption_resolution,[],[f2567,f511]) ).
fof(f511,plain,
( e1 != op(e2,e3)
| spl3_70 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f2567,plain,
( e1 = op(e2,e3)
| ~ spl3_56
| ~ spl3_101 ),
inference(forward_demodulation,[],[f675,f448]) ).
fof(f675,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f2539,plain,
( ~ spl3_55
| ~ spl3_95
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f2538]) ).
fof(f2538,plain,
( $false
| ~ spl3_55
| ~ spl3_95
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f2537,f194]) ).
fof(f2537,plain,
( e1 = e3
| ~ spl3_55
| ~ spl3_95
| ~ spl3_107 ),
inference(forward_demodulation,[],[f2536,f443]) ).
fof(f443,plain,
( e1 = op(e3,e1)
| ~ spl3_55 ),
inference(avatar_component_clause,[],[f441]) ).
fof(f2536,plain,
( e3 = op(e3,e1)
| ~ spl3_95
| ~ spl3_107 ),
inference(forward_demodulation,[],[f717,f637]) ).
fof(f2534,plain,
( ~ spl3_71
| ~ spl3_85 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2533,plain,
( $false
| ~ spl3_71
| ~ spl3_85 ),
inference(subsumption_resolution,[],[f2532,f196]) ).
fof(f2532,plain,
( e0 = e1
| ~ spl3_71
| ~ spl3_85 ),
inference(backward_demodulation,[],[f588,f517]) ).
fof(f588,plain,
( e1 = op(e0,e2)
| ~ spl3_85 ),
inference(avatar_component_clause,[],[f586]) ).
fof(f586,plain,
( spl3_85
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_85])]) ).
fof(f2531,plain,
( ~ spl3_57
| ~ spl3_56 ),
inference(avatar_split_clause,[],[f2529,f446,f450]) ).
fof(f2529,plain,
( e3 != op(e2,e3)
| ~ spl3_56 ),
inference(backward_demodulation,[],[f96,f448]) ).
fof(f2525,plain,
( spl3_71
| ~ spl3_4
| ~ spl3_106 ),
inference(avatar_split_clause,[],[f2524,f707,f216,f515]) ).
fof(f2524,plain,
( e0 = op(e0,e2)
| ~ spl3_4
| ~ spl3_106 ),
inference(forward_demodulation,[],[f709,f218]) ).
fof(f2523,plain,
( ~ spl3_5
| ~ spl3_97
| ~ spl3_99 ),
inference(avatar_contradiction_clause,[],[f2522]) ).
fof(f2522,plain,
( $false
| ~ spl3_5
| ~ spl3_97
| ~ spl3_99 ),
inference(subsumption_resolution,[],[f2521,f195]) ).
fof(f2521,plain,
( e2 = e3
| ~ spl3_5
| ~ spl3_97
| ~ spl3_99 ),
inference(forward_demodulation,[],[f2520,f648]) ).
fof(f2520,plain,
( e3 = op(e3,e2)
| ~ spl3_5
| ~ spl3_99 ),
inference(forward_demodulation,[],[f659,f223]) ).
fof(f659,plain,
( e3 = op(e3,op(e0,e3))
| ~ spl3_99 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f657,plain,
( spl3_99
<=> e3 = op(e3,op(e0,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_99])]) ).
fof(f2496,plain,
( spl3_16
| ~ spl3_68
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f2491,f674,f501,f268]) ).
fof(f2491,plain,
( e1 = op(e2,e0)
| ~ spl3_68
| ~ spl3_101 ),
inference(backward_demodulation,[],[f675,f503]) ).
fof(f2483,plain,
( ~ spl3_88
| ~ spl3_57 ),
inference(avatar_split_clause,[],[f2481,f450,f601]) ).
fof(f2481,plain,
( e3 != op(e0,e3)
| ~ spl3_57 ),
inference(backward_demodulation,[],[f119,f452]) ).
fof(f119,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2471,plain,
( spl3_66
| ~ spl3_94
| ~ spl3_97 ),
inference(avatar_contradiction_clause,[],[f2470]) ).
fof(f2470,plain,
( $false
| spl3_66
| ~ spl3_94
| ~ spl3_97 ),
inference(subsumption_resolution,[],[f2469,f494]) ).
fof(f2469,plain,
( e2 = op(e2,e2)
| ~ spl3_94
| ~ spl3_97 ),
inference(forward_demodulation,[],[f632,f648]) ).
fof(f2459,plain,
( ~ spl3_17
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f2458,f299,f272]) ).
fof(f272,plain,
( spl3_17
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f2458,plain,
( e0 != op(e2,e0)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f123,f301]) ).
fof(f301,plain,
( e0 = op(e0,e0)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f2454,plain,
( ~ spl3_9
| ~ spl3_4
| spl3_27
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f2453,f361,f317,f216,f238]) ).
fof(f2453,plain,
( e3 != op(e2,e0)
| ~ spl3_4
| spl3_27
| ~ spl3_37 ),
inference(forward_demodulation,[],[f2452,f218]) ).
fof(f2452,plain,
( e3 != op(op(e1,e0),e0)
| spl3_27
| ~ spl3_37 ),
inference(forward_demodulation,[],[f319,f363]) ).
fof(f2451,plain,
( ~ spl3_96
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2450,f635,f639]) ).
fof(f2450,plain,
( e1 != op(e0,e3)
| ~ spl3_95 ),
inference(forward_demodulation,[],[f104,f637]) ).
fof(f104,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2440,plain,
( ~ spl3_46
| ~ spl3_23 ),
inference(avatar_split_clause,[],[f2433,f299,f401]) ).
fof(f2433,plain,
( e0 != op(e0,e3)
| ~ spl3_23 ),
inference(backward_demodulation,[],[f93,f301]) ).
fof(f2431,plain,
( ~ spl3_18
| ~ spl3_92 ),
inference(avatar_split_clause,[],[f2430,f620,f276]) ).
fof(f2430,plain,
( e2 != op(e2,e0)
| ~ spl3_92 ),
inference(forward_demodulation,[],[f130,f622]) ).
fof(f2427,plain,
( ~ spl3_46
| ~ spl3_39 ),
inference(avatar_split_clause,[],[f1293,f371,f401]) ).
fof(f371,plain,
( spl3_39
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_39])]) ).
fof(f1293,plain,
( e0 != op(e0,e3)
| ~ spl3_39 ),
inference(forward_demodulation,[],[f116,f372]) ).
fof(f372,plain,
( e0 = op(e3,e3)
| ~ spl3_39 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f2423,plain,
( ~ spl3_60
| ~ spl3_95 ),
inference(avatar_split_clause,[],[f2422,f635,f464]) ).
fof(f2422,plain,
( e1 != op(e1,e0)
| ~ spl3_95 ),
inference(backward_demodulation,[],[f103,f637]) ).
fof(f2418,plain,
( spl3_95
| ~ spl3_33
| ~ spl3_42 ),
inference(avatar_split_clause,[],[f2417,f384,f344,f635]) ).
fof(f344,plain,
( spl3_33
<=> e1 = op(e1,op(e0,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_33])]) ).
fof(f2417,plain,
( e1 = op(e1,e3)
| ~ spl3_33
| ~ spl3_42 ),
inference(forward_demodulation,[],[f346,f386]) ).
fof(f386,plain,
( e3 = op(e0,e1)
| ~ spl3_42 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f346,plain,
( e1 = op(e1,op(e0,e1))
| ~ spl3_33 ),
inference(avatar_component_clause,[],[f344]) ).
fof(f2416,plain,
( ~ spl3_98
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f2415,f586,f650]) ).
fof(f2415,plain,
( e1 != op(e3,e2)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f91,f588]) ).
fof(f91,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2414,plain,
( ~ spl3_10
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f2348,f250,f242]) ).
fof(f2348,plain,
( e3 != op(e1,e0)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f136,f252]) ).
fof(f252,plain,
( e3 = op(e3,e0)
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f2411,plain,
( ~ spl3_10
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f2410,f625,f242]) ).
fof(f2410,plain,
( e3 != op(e1,e0)
| ~ spl3_93 ),
inference(forward_demodulation,[],[f97,f627]) ).
fof(f2392,plain,
( ~ spl3_57
| ~ spl3_70 ),
inference(avatar_contradiction_clause,[],[f2391]) ).
fof(f2391,plain,
( $false
| ~ spl3_57
| ~ spl3_70 ),
inference(subsumption_resolution,[],[f2390,f194]) ).
fof(f2390,plain,
( e1 = e3
| ~ spl3_57
| ~ spl3_70 ),
inference(forward_demodulation,[],[f452,f512]) ).
fof(f2389,plain,
( ~ spl3_82
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f2388,f531,f571]) ).
fof(f2388,plain,
( e0 != op(e1,e2)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f135,f533]) ).
fof(f2382,plain,
( ~ spl3_66
| spl3_80 ),
inference(avatar_contradiction_clause,[],[f2381]) ).
fof(f2381,plain,
( $false
| ~ spl3_66
| spl3_80 ),
inference(subsumption_resolution,[],[f2380,f495]) ).
fof(f2380,plain,
( e2 != op(e2,e2)
| ~ spl3_66
| spl3_80 ),
inference(forward_demodulation,[],[f562,f495]) ).
fof(f562,plain,
( e2 != op(e2,op(e2,e2))
| spl3_80 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f2367,plain,
( ~ spl3_26
| ~ spl3_37
| spl3_61 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| ~ spl3_26
| ~ spl3_37
| spl3_61 ),
inference(subsumption_resolution,[],[f2361,f469]) ).
fof(f469,plain,
( e0 != op(e1,e0)
| spl3_61 ),
inference(avatar_component_clause,[],[f468]) ).
fof(f2361,plain,
( e0 = op(e1,e0)
| ~ spl3_26
| ~ spl3_37 ),
inference(backward_demodulation,[],[f314,f363]) ).
fof(f2357,plain,
( ~ spl3_7
| spl3_20
| ~ spl3_85
| ~ spl3_93 ),
inference(avatar_contradiction_clause,[],[f2356]) ).
fof(f2356,plain,
( $false
| ~ spl3_7
| spl3_20
| ~ spl3_85
| ~ spl3_93 ),
inference(subsumption_resolution,[],[f2355,f627]) ).
fof(f2355,plain,
( e3 != op(e1,e2)
| ~ spl3_7
| spl3_20
| ~ spl3_85 ),
inference(forward_demodulation,[],[f2354,f588]) ).
fof(f2354,plain,
( e3 != op(op(e0,e2),e2)
| ~ spl3_7
| spl3_20 ),
inference(forward_demodulation,[],[f287,f231]) ).
fof(f287,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl3_20 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f285,plain,
( spl3_20
<=> e3 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f2340,plain,
( ~ spl3_55
| spl3_79
| ~ spl3_100 ),
inference(avatar_contradiction_clause,[],[f2339]) ).
fof(f2339,plain,
( $false
| ~ spl3_55
| spl3_79
| ~ spl3_100 ),
inference(subsumption_resolution,[],[f2338,f557]) ).
fof(f557,plain,
( e1 != op(e1,e1)
| spl3_79 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f2338,plain,
( e1 = op(e1,e1)
| ~ spl3_55
| ~ spl3_100 ),
inference(forward_demodulation,[],[f668,f443]) ).
fof(f2325,plain,
( ~ spl3_34
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f2324,f401,f349]) ).
fof(f2324,plain,
( e0 != op(e0,e1)
| ~ spl3_46 ),
inference(forward_demodulation,[],[f117,f403]) ).
fof(f403,plain,
( e0 = op(e0,e3)
| ~ spl3_46 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f117,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2323,plain,
( ~ spl3_104
| ~ spl3_93 ),
inference(avatar_split_clause,[],[f2321,f625,f692]) ).
fof(f2321,plain,
( e3 != op(e1,e3)
| ~ spl3_93 ),
inference(backward_demodulation,[],[f128,f627]) ).
fof(f128,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2311,plain,
( spl3_46
| ~ spl3_12
| ~ spl3_83 ),
inference(avatar_split_clause,[],[f2310,f577,f250,f401]) ).
fof(f2310,plain,
( e0 = op(e0,e3)
| ~ spl3_12
| ~ spl3_83 ),
inference(backward_demodulation,[],[f579,f252]) ).
fof(f2307,plain,
( ~ spl3_17
| ~ spl3_74
| ~ spl3_94 ),
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2306,plain,
( $false
| ~ spl3_17
| ~ spl3_74
| ~ spl3_94 ),
inference(subsumption_resolution,[],[f2305,f193]) ).
fof(f193,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2305,plain,
( e0 = e2
| ~ spl3_17
| ~ spl3_74
| ~ spl3_94 ),
inference(forward_demodulation,[],[f2303,f274]) ).
fof(f274,plain,
( e0 = op(e2,e0)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f2303,plain,
( e2 = op(e2,e0)
| ~ spl3_74
| ~ spl3_94 ),
inference(backward_demodulation,[],[f632,f533]) ).
fof(f2268,plain,
( ~ spl3_43
| ~ spl3_44 ),
inference(avatar_split_clause,[],[f2136,f392,f388]) ).
fof(f2136,plain,
( e3 != op(e1,e1)
| ~ spl3_44 ),
inference(forward_demodulation,[],[f109,f394]) ).
fof(f2258,plain,
( ~ spl3_105
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f2257,f586,f698]) ).
fof(f2257,plain,
( e1 != op(e1,e2)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f127,f588]) ).
fof(f127,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2247,plain,
( ~ spl3_34
| ~ spl3_60
| spl3_106 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2246,plain,
( $false
| ~ spl3_34
| ~ spl3_60
| spl3_106 ),
inference(subsumption_resolution,[],[f2244,f351]) ).
fof(f351,plain,
( e0 = op(e0,e1)
| ~ spl3_34 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f2244,plain,
( e0 != op(e0,e1)
| ~ spl3_60
| spl3_106 ),
inference(backward_demodulation,[],[f708,f466]) ).
fof(f466,plain,
( e1 = op(e1,e0)
| ~ spl3_60 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f708,plain,
( e0 != op(e0,op(e1,e0))
| spl3_106 ),
inference(avatar_component_clause,[],[f707]) ).
fof(f2241,plain,
( spl3_60
| ~ spl3_33
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f2240,f349,f344,f464]) ).
fof(f2240,plain,
( e1 = op(e1,e0)
| ~ spl3_33
| ~ spl3_34 ),
inference(forward_demodulation,[],[f346,f351]) ).
fof(f2235,plain,
( ~ spl3_11
| ~ spl3_38
| spl3_46 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2234,plain,
( $false
| ~ spl3_11
| ~ spl3_38
| spl3_46 ),
inference(subsumption_resolution,[],[f2233,f402]) ).
fof(f402,plain,
( e0 != op(e0,e3)
| spl3_46 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f2233,plain,
( e0 = op(e0,e3)
| ~ spl3_11
| ~ spl3_38 ),
inference(forward_demodulation,[],[f368,f248]) ).
fof(f368,plain,
( e0 = op(e0,op(e0,e0))
| ~ spl3_38 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f366,plain,
( spl3_38
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_38])]) ).
fof(f2230,plain,
( ~ spl3_42
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f2229,f246,f384]) ).
fof(f2229,plain,
( e3 != op(e0,e1)
| ~ spl3_11 ),
inference(forward_demodulation,[],[f100,f248]) ).
fof(f100,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2227,plain,
( ~ spl3_88
| ~ spl3_104 ),
inference(avatar_split_clause,[],[f2224,f692,f601]) ).
fof(f2224,plain,
( e3 != op(e0,e3)
| ~ spl3_104 ),
inference(backward_demodulation,[],[f104,f694]) ).
fof(f2219,plain,
( ~ spl3_65
| ~ spl3_85
| spl3_92 ),
inference(avatar_contradiction_clause,[],[f2218]) ).
fof(f2218,plain,
( $false
| ~ spl3_65
| ~ spl3_85
| spl3_92 ),
inference(subsumption_resolution,[],[f2217,f621]) ).
fof(f621,plain,
( e2 != op(e2,e1)
| spl3_92 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f2217,plain,
( e2 = op(e2,e1)
| ~ spl3_65
| ~ spl3_85 ),
inference(backward_demodulation,[],[f490,f588]) ).
fof(f490,plain,
( e2 = op(e2,op(e0,e2))
| ~ spl3_65 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f488,plain,
( spl3_65
<=> e2 = op(e2,op(e0,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_65])]) ).
fof(f2197,plain,
( ~ spl3_10
| ~ spl3_37
| ~ spl3_51
| spl3_73 ),
inference(avatar_contradiction_clause,[],[f2196]) ).
fof(f2196,plain,
( $false
| ~ spl3_10
| ~ spl3_37
| ~ spl3_51
| spl3_73 ),
inference(subsumption_resolution,[],[f2193,f424]) ).
fof(f2193,plain,
( e2 != op(e3,e0)
| ~ spl3_10
| ~ spl3_37
| spl3_73 ),
inference(backward_demodulation,[],[f2159,f244]) ).
fof(f244,plain,
( e3 = op(e1,e0)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f2159,plain,
( e2 != op(op(e1,e0),e0)
| ~ spl3_37
| spl3_73 ),
inference(forward_demodulation,[],[f528,f363]) ).
fof(f2163,plain,
( ~ spl3_54
| ~ spl3_51 ),
inference(avatar_split_clause,[],[f2162,f422,f437]) ).
fof(f2162,plain,
( e2 != op(e3,e1)
| ~ spl3_51 ),
inference(forward_demodulation,[],[f131,f424]) ).
fof(f2157,plain,
( ~ spl3_67
| ~ spl3_105 ),
inference(avatar_split_clause,[],[f2156,f698,f497]) ).
fof(f2156,plain,
( e1 != op(e2,e2)
| ~ spl3_105 ),
inference(forward_demodulation,[],[f129,f700]) ).
fof(f2155,plain,
( ~ spl3_60
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f2154,f303,f464]) ).
fof(f2154,plain,
( e1 != op(e1,e0)
| ~ spl3_24 ),
inference(forward_demodulation,[],[f137,f305]) ).
fof(f305,plain,
( op(e0,e0) = e1
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f2149,plain,
( ~ spl3_75
| ~ spl3_80 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2148,plain,
( $false
| ~ spl3_75
| ~ spl3_80 ),
inference(subsumption_resolution,[],[f2147,f195]) ).
fof(f2147,plain,
( e2 = e3
| ~ spl3_75
| ~ spl3_80 ),
inference(forward_demodulation,[],[f537,f563]) ).
fof(f537,plain,
( e3 = op(e2,op(e2,e2))
| ~ spl3_75 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f536,plain,
( spl3_75
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_75])]) ).
fof(f2145,plain,
( ~ spl3_17
| ~ spl3_21
| spl3_23 ),
inference(avatar_contradiction_clause,[],[f2144]) ).
fof(f2144,plain,
( $false
| ~ spl3_17
| ~ spl3_21
| spl3_23 ),
inference(subsumption_resolution,[],[f2143,f300]) ).
fof(f2143,plain,
( e0 = op(e0,e0)
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f292,f274]) ).
fof(f2139,plain,
( ~ spl3_101
| spl3_76
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f2138,f561,f540,f674]) ).
fof(f2138,plain,
( e1 != op(e2,op(e2,e2))
| spl3_76
| ~ spl3_80 ),
inference(backward_demodulation,[],[f542,f563]) ).
fof(f2129,plain,
( ~ spl3_4
| ~ spl3_37
| spl3_52 ),
inference(avatar_split_clause,[],[f2128,f427,f361,f216]) ).
fof(f2128,plain,
( e2 != op(e1,e0)
| ~ spl3_37
| spl3_52 ),
inference(forward_demodulation,[],[f429,f363]) ).
fof(f2122,plain,
( ~ spl3_44
| ~ spl3_78
| spl3_95 ),
inference(avatar_contradiction_clause,[],[f2121]) ).
fof(f2121,plain,
( $false
| ~ spl3_44
| ~ spl3_78
| spl3_95 ),
inference(subsumption_resolution,[],[f2120,f636]) ).
fof(f636,plain,
( e1 != op(e1,e3)
| spl3_95 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f2120,plain,
( e1 = op(e1,e3)
| ~ spl3_44
| ~ spl3_78 ),
inference(backward_demodulation,[],[f553,f394]) ).
fof(f553,plain,
( e1 = op(e1,op(e2,e1))
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f551]) ).
fof(f551,plain,
( spl3_78
<=> e1 = op(e1,op(e2,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_78])]) ).
fof(f2119,plain,
( ~ spl3_10
| ~ spl3_37
| spl3_77 ),
inference(avatar_split_clause,[],[f2118,f546,f361,f242]) ).
fof(f546,plain,
( spl3_77
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_77])]) ).
fof(f2118,plain,
( e3 != op(e1,e0)
| ~ spl3_37
| spl3_77 ),
inference(forward_demodulation,[],[f548,f363]) ).
fof(f548,plain,
( e3 != op(e1,op(e1,e1))
| spl3_77 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f2047,plain,
( ~ spl3_71
| ~ spl3_84 ),
inference(avatar_contradiction_clause,[],[f2046]) ).
fof(f2046,plain,
( $false
| ~ spl3_71
| ~ spl3_84 ),
inference(subsumption_resolution,[],[f2043,f198]) ).
fof(f198,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2043,plain,
( e0 = e3
| ~ spl3_71
| ~ spl3_84 ),
inference(backward_demodulation,[],[f584,f517]) ).
fof(f2037,plain,
( spl3_105
| ~ spl3_8
| ~ spl3_33 ),
inference(avatar_split_clause,[],[f2036,f344,f233,f698]) ).
fof(f2036,plain,
( e1 = op(e1,e2)
| ~ spl3_8
| ~ spl3_33 ),
inference(forward_demodulation,[],[f346,f235]) ).
fof(f2035,plain,
( ~ spl3_79
| ~ spl3_69 ),
inference(avatar_split_clause,[],[f2034,f506,f556]) ).
fof(f2034,plain,
( e1 != op(e1,e1)
| ~ spl3_69 ),
inference(forward_demodulation,[],[f109,f508]) ).
fof(f2033,plain,
( ~ spl3_3
| ~ spl3_8 ),
inference(avatar_split_clause,[],[f2032,f233,f212]) ).
fof(f2032,plain,
( e2 != op(e1,e1)
| ~ spl3_8 ),
inference(forward_demodulation,[],[f115,f235]) ).
fof(f115,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2031,plain,
( ~ spl3_24
| spl3_34
| ~ spl3_38 ),
inference(avatar_contradiction_clause,[],[f2030]) ).
fof(f2030,plain,
( $false
| ~ spl3_24
| spl3_34
| ~ spl3_38 ),
inference(subsumption_resolution,[],[f2029,f350]) ).
fof(f2029,plain,
( e0 = op(e0,e1)
| ~ spl3_24
| ~ spl3_38 ),
inference(backward_demodulation,[],[f368,f305]) ).
fof(f2027,plain,
( ~ spl3_35
| ~ spl3_45 ),
inference(avatar_contradiction_clause,[],[f2026]) ).
fof(f2026,plain,
( $false
| ~ spl3_35
| ~ spl3_45 ),
inference(subsumption_resolution,[],[f2023,f198]) ).
fof(f2023,plain,
( e0 = e3
| ~ spl3_35
| ~ spl3_45 ),
inference(backward_demodulation,[],[f398,f355]) ).
fof(f2002,plain,
( ~ spl3_59
| ~ spl3_45 ),
inference(avatar_split_clause,[],[f2001,f396,f459]) ).
fof(f2001,plain,
( e3 != op(e3,e2)
| ~ spl3_45 ),
inference(forward_demodulation,[],[f107,f398]) ).
fof(f107,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1995,plain,
( ~ spl3_69
| ~ spl3_103
| ~ spl3_105 ),
inference(avatar_contradiction_clause,[],[f1994]) ).
fof(f1994,plain,
( $false
| ~ spl3_69
| ~ spl3_103
| ~ spl3_105 ),
inference(subsumption_resolution,[],[f1993,f197]) ).
fof(f1993,plain,
( e1 = e2
| ~ spl3_69
| ~ spl3_103
| ~ spl3_105 ),
inference(forward_demodulation,[],[f1992,f508]) ).
fof(f1992,plain,
( e2 = op(e2,e1)
| ~ spl3_103
| ~ spl3_105 ),
inference(backward_demodulation,[],[f686,f700]) ).
fof(f1947,plain,
( spl3_105
| ~ spl3_3
| ~ spl3_30 ),
inference(avatar_split_clause,[],[f1946,f331,f212,f698]) ).
fof(f1946,plain,
( e1 = op(e1,e2)
| ~ spl3_3
| ~ spl3_30 ),
inference(forward_demodulation,[],[f333,f214]) ).
fof(f1943,plain,
( ~ spl3_17
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f1942,f468,f272]) ).
fof(f1942,plain,
( e0 != op(e2,e0)
| ~ spl3_61 ),
inference(forward_demodulation,[],[f102,f470]) ).
fof(f102,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1937,plain,
( ~ spl3_7
| ~ spl3_38
| spl3_71 ),
inference(avatar_contradiction_clause,[],[f1936]) ).
fof(f1936,plain,
( $false
| ~ spl3_7
| ~ spl3_38
| spl3_71 ),
inference(subsumption_resolution,[],[f1935,f516]) ).
fof(f516,plain,
( e0 != op(e0,e2)
| spl3_71 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f1935,plain,
( e0 = op(e0,e2)
| ~ spl3_7
| ~ spl3_38 ),
inference(forward_demodulation,[],[f368,f231]) ).
fof(f1923,plain,
( spl3_45
| ~ spl3_96
| ~ spl3_99 ),
inference(avatar_split_clause,[],[f1900,f657,f639,f396]) ).
fof(f1900,plain,
( e3 = op(e3,e1)
| ~ spl3_96
| ~ spl3_99 ),
inference(forward_demodulation,[],[f659,f641]) ).
fof(f1919,plain,
( ~ spl3_23
| ~ spl3_34 ),
inference(avatar_split_clause,[],[f1918,f349,f299]) ).
fof(f1918,plain,
( e0 != op(e0,e0)
| ~ spl3_34 ),
inference(forward_demodulation,[],[f100,f351]) ).
fof(f1916,plain,
( ~ spl3_37
| ~ spl3_61 ),
inference(avatar_split_clause,[],[f1915,f468,f361]) ).
fof(f1915,plain,
( e0 != op(e1,e1)
| ~ spl3_61 ),
inference(backward_demodulation,[],[f95,f470]) ).
fof(f1909,plain,
( ~ spl3_34
| ~ spl3_37 ),
inference(avatar_contradiction_clause,[],[f1908]) ).
fof(f1908,plain,
( $false
| ~ spl3_34
| ~ spl3_37 ),
inference(subsumption_resolution,[],[f1907,f351]) ).
fof(f1907,plain,
( e0 != op(e0,e1)
| ~ spl3_37 ),
inference(forward_demodulation,[],[f115,f363]) ).
fof(f1882,plain,
( ~ spl3_47
| ~ spl3_39 ),
inference(avatar_split_clause,[],[f1209,f371,f405]) ).
fof(f1209,plain,
( e0 != op(e1,e3)
| ~ spl3_39 ),
inference(forward_demodulation,[],[f133,f372]) ).
fof(f1863,plain,
( ~ spl3_47
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f1862,f361,f405]) ).
fof(f1862,plain,
( e0 != op(e1,e3)
| ~ spl3_37 ),
inference(forward_demodulation,[],[f134,f363]) ).
fof(f1860,plain,
( ~ spl3_44
| ~ spl3_92 ),
inference(avatar_contradiction_clause,[],[f1859]) ).
fof(f1859,plain,
( $false
| ~ spl3_44
| ~ spl3_92 ),
inference(subsumption_resolution,[],[f1858,f195]) ).
fof(f1858,plain,
( e2 = e3
| ~ spl3_44
| ~ spl3_92 ),
inference(backward_demodulation,[],[f394,f622]) ).
fof(f1852,plain,
( ~ spl3_69
| ~ spl3_55 ),
inference(avatar_split_clause,[],[f1851,f441,f506]) ).
fof(f1851,plain,
( e1 != op(e2,e1)
| ~ spl3_55 ),
inference(forward_demodulation,[],[f90,f443]) ).
fof(f1844,plain,
( ~ spl3_2
| ~ spl3_28 ),
inference(avatar_split_clause,[],[f1843,f322,f208]) ).
fof(f1843,plain,
( e2 != op(e1,e3)
| ~ spl3_28 ),
inference(forward_demodulation,[],[f99,f324]) ).
fof(f99,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1833,plain,
( ~ spl3_1
| ~ spl3_93 ),
inference(avatar_contradiction_clause,[],[f1832]) ).
fof(f1832,plain,
( $false
| ~ spl3_1
| ~ spl3_93 ),
inference(subsumption_resolution,[],[f1831,f195]) ).
fof(f1831,plain,
( e2 = e3
| ~ spl3_1
| ~ spl3_93 ),
inference(backward_demodulation,[],[f627,f206]) ).
fof(f1827,plain,
( spl3_28
| ~ spl3_65
| ~ spl3_84 ),
inference(avatar_split_clause,[],[f1826,f582,f488,f322]) ).
fof(f1826,plain,
( e2 = op(e2,e3)
| ~ spl3_65
| ~ spl3_84 ),
inference(forward_demodulation,[],[f490,f584]) ).
fof(f1818,plain,
( ~ spl3_45
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f1817,f250,f396]) ).
fof(f1817,plain,
( e3 != op(e3,e1)
| ~ spl3_12 ),
inference(forward_demodulation,[],[f131,f252]) ).
fof(f1788,plain,
( spl3_28
| ~ spl3_93
| ~ spl3_103 ),
inference(avatar_contradiction_clause,[],[f1787]) ).
fof(f1787,plain,
( $false
| spl3_28
| ~ spl3_93
| ~ spl3_103 ),
inference(subsumption_resolution,[],[f1786,f323]) ).
fof(f1786,plain,
( e2 = op(e2,e3)
| ~ spl3_93
| ~ spl3_103 ),
inference(forward_demodulation,[],[f686,f627]) ).
fof(f1754,plain,
( ~ spl3_16
| ~ spl3_60 ),
inference(avatar_split_clause,[],[f1751,f464,f268]) ).
fof(f1751,plain,
( e1 != op(e2,e0)
| ~ spl3_60 ),
inference(backward_demodulation,[],[f102,f466]) ).
fof(f1753,plain,
( spl3_34
| ~ spl3_60
| ~ spl3_106 ),
inference(avatar_contradiction_clause,[],[f1752]) ).
fof(f1752,plain,
( $false
| spl3_34
| ~ spl3_60
| ~ spl3_106 ),
inference(subsumption_resolution,[],[f1750,f350]) ).
fof(f1750,plain,
( e0 = op(e0,e1)
| ~ spl3_60
| ~ spl3_106 ),
inference(backward_demodulation,[],[f709,f466]) ).
fof(f1737,plain,
( ~ spl3_2
| ~ spl3_98
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f1736]) ).
fof(f1736,plain,
( $false
| ~ spl3_2
| ~ spl3_98
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f1735,f194]) ).
fof(f1735,plain,
( e1 = e3
| ~ spl3_2
| ~ spl3_98
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1731,f652]) ).
fof(f1731,plain,
( e3 = op(e3,e2)
| ~ spl3_2
| ~ spl3_107 ),
inference(backward_demodulation,[],[f717,f210]) ).
fof(f1688,plain,
( ~ spl3_84
| ~ spl3_88 ),
inference(avatar_contradiction_clause,[],[f1687]) ).
fof(f1687,plain,
( $false
| ~ spl3_84
| ~ spl3_88 ),
inference(subsumption_resolution,[],[f1686,f584]) ).
fof(f1686,plain,
( e3 != op(e0,e2)
| ~ spl3_88 ),
inference(forward_demodulation,[],[f124,f603]) ).
fof(f603,plain,
( e3 = op(e0,e3)
| ~ spl3_88 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f1674,plain,
( ~ spl3_3
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f1673,f437,f212]) ).
fof(f1673,plain,
( e2 != op(e1,e1)
| ~ spl3_54 ),
inference(forward_demodulation,[],[f101,f439]) ).
fof(f1667,plain,
( ~ spl3_79
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f1666,f473,f556]) ).
fof(f1666,plain,
( e1 != op(e1,e1)
| ~ spl3_62 ),
inference(forward_demodulation,[],[f115,f475]) ).
fof(f1655,plain,
( spl3_79
| ~ spl3_33
| ~ spl3_62 ),
inference(avatar_split_clause,[],[f1653,f473,f344,f556]) ).
fof(f1653,plain,
( e1 = op(e1,e1)
| ~ spl3_33
| ~ spl3_62 ),
inference(backward_demodulation,[],[f346,f475]) ).
fof(f1638,plain,
( ~ spl3_97
| ~ spl3_98 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1637,plain,
( $false
| ~ spl3_97
| ~ spl3_98 ),
inference(subsumption_resolution,[],[f1636,f197]) ).
fof(f1636,plain,
( e1 = e2
| ~ spl3_97
| ~ spl3_98 ),
inference(forward_demodulation,[],[f648,f652]) ).
fof(f1608,plain,
( ~ spl3_88
| ~ spl3_96 ),
inference(avatar_contradiction_clause,[],[f1607]) ).
fof(f1607,plain,
( $false
| ~ spl3_88
| ~ spl3_96 ),
inference(subsumption_resolution,[],[f1606,f194]) ).
fof(f1606,plain,
( e1 = e3
| ~ spl3_88
| ~ spl3_96 ),
inference(forward_demodulation,[],[f603,f641]) ).
fof(f1605,plain,
( ~ spl3_42
| ~ spl3_45 ),
inference(avatar_split_clause,[],[f1604,f396,f384]) ).
fof(f1604,plain,
( e3 != op(e0,e1)
| ~ spl3_45 ),
inference(backward_demodulation,[],[f125,f398]) ).
fof(f125,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1586,plain,
( ~ spl3_36
| ~ spl3_44 ),
inference(avatar_contradiction_clause,[],[f1585]) ).
fof(f1585,plain,
( $false
| ~ spl3_36
| ~ spl3_44 ),
inference(subsumption_resolution,[],[f1584,f198]) ).
fof(f1584,plain,
( e0 = e3
| ~ spl3_36
| ~ spl3_44 ),
inference(forward_demodulation,[],[f394,f359]) ).
fof(f1551,plain,
( spl3_12
| ~ spl3_39
| ~ spl3_53 ),
inference(avatar_split_clause,[],[f1380,f432,f371,f250]) ).
fof(f1380,plain,
( e3 = op(e3,e0)
| ~ spl3_39
| ~ spl3_53 ),
inference(forward_demodulation,[],[f434,f372]) ).
fof(f1520,plain,
( ~ spl3_6
| ~ spl3_65
| spl3_66 ),
inference(avatar_contradiction_clause,[],[f1519]) ).
fof(f1519,plain,
( $false
| ~ spl3_6
| ~ spl3_65
| spl3_66 ),
inference(subsumption_resolution,[],[f1518,f494]) ).
fof(f1518,plain,
( e2 = op(e2,e2)
| ~ spl3_6
| ~ spl3_65 ),
inference(forward_demodulation,[],[f490,f227]) ).
fof(f227,plain,
( e2 = op(e0,e2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f225]) ).
fof(f1511,plain,
( ~ spl3_51
| spl3_71
| ~ spl3_83 ),
inference(avatar_contradiction_clause,[],[f1510]) ).
fof(f1510,plain,
( $false
| ~ spl3_51
| spl3_71
| ~ spl3_83 ),
inference(subsumption_resolution,[],[f1509,f516]) ).
fof(f1509,plain,
( e0 = op(e0,e2)
| ~ spl3_51
| ~ spl3_83 ),
inference(forward_demodulation,[],[f579,f424]) ).
fof(f1508,plain,
( ~ spl3_42
| ~ spl3_43 ),
inference(avatar_contradiction_clause,[],[f1507]) ).
fof(f1507,plain,
( $false
| ~ spl3_42
| ~ spl3_43 ),
inference(subsumption_resolution,[],[f1506,f386]) ).
fof(f1506,plain,
( e3 != op(e0,e1)
| ~ spl3_43 ),
inference(forward_demodulation,[],[f115,f390]) ).
fof(f1494,plain,
( ~ spl3_79
| ~ spl3_55 ),
inference(avatar_split_clause,[],[f1493,f441,f556]) ).
fof(f1493,plain,
( e1 != op(e1,e1)
| ~ spl3_55 ),
inference(forward_demodulation,[],[f101,f443]) ).
fof(f1488,plain,
( ~ spl3_56
| ~ spl3_59 ),
inference(avatar_contradiction_clause,[],[f1487]) ).
fof(f1487,plain,
( $false
| ~ spl3_56
| ~ spl3_59 ),
inference(subsumption_resolution,[],[f1335,f461]) ).
fof(f1335,plain,
( e3 != op(e3,e2)
| ~ spl3_56 ),
inference(forward_demodulation,[],[f98,f448]) ).
fof(f98,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1484,plain,
( ~ spl3_82
| ~ spl3_105 ),
inference(avatar_contradiction_clause,[],[f1483]) ).
fof(f1483,plain,
( $false
| ~ spl3_82
| ~ spl3_105 ),
inference(subsumption_resolution,[],[f1482,f196]) ).
fof(f1482,plain,
( e0 = e1
| ~ spl3_82
| ~ spl3_105 ),
inference(forward_demodulation,[],[f700,f573]) ).
fof(f1441,plain,
( ~ spl3_45
| ~ spl3_54 ),
inference(avatar_contradiction_clause,[],[f1440]) ).
fof(f1440,plain,
( $false
| ~ spl3_45
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f1439,f195]) ).
fof(f1439,plain,
( e2 = e3
| ~ spl3_45
| ~ spl3_54 ),
inference(backward_demodulation,[],[f398,f439]) ).
fof(f1432,plain,
( ~ spl3_45
| spl3_95
| ~ spl3_100 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| ~ spl3_45
| spl3_95
| ~ spl3_100 ),
inference(subsumption_resolution,[],[f1430,f636]) ).
fof(f1430,plain,
( e1 = op(e1,e3)
| ~ spl3_45
| ~ spl3_100 ),
inference(forward_demodulation,[],[f668,f398]) ).
fof(f1394,plain,
( spl3_28
| ~ spl3_56
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f1367,f561,f446,f322]) ).
fof(f1367,plain,
( e2 = op(e2,e3)
| ~ spl3_56
| ~ spl3_80 ),
inference(forward_demodulation,[],[f563,f448]) ).
fof(f1370,plain,
( ~ spl3_56
| ~ spl3_70
| ~ spl3_80 ),
inference(avatar_contradiction_clause,[],[f1369]) ).
fof(f1369,plain,
( $false
| ~ spl3_56
| ~ spl3_70
| ~ spl3_80 ),
inference(subsumption_resolution,[],[f1368,f197]) ).
fof(f1368,plain,
( e1 = e2
| ~ spl3_56
| ~ spl3_70
| ~ spl3_80 ),
inference(forward_demodulation,[],[f1367,f512]) ).
fof(f1365,plain,
( ~ spl3_39
| ~ spl3_104
| ~ spl3_107 ),
inference(avatar_contradiction_clause,[],[f1364]) ).
fof(f1364,plain,
( $false
| ~ spl3_39
| ~ spl3_104
| ~ spl3_107 ),
inference(subsumption_resolution,[],[f1363,f198]) ).
fof(f1363,plain,
( e0 = e3
| ~ spl3_39
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f1362,f372]) ).
fof(f1362,plain,
( e3 = op(e3,e3)
| ~ spl3_104
| ~ spl3_107 ),
inference(forward_demodulation,[],[f717,f694]) ).
fof(f1325,plain,
( ~ spl3_56
| ~ spl3_70
| spl3_101 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl3_56
| ~ spl3_70
| spl3_101 ),
inference(subsumption_resolution,[],[f1323,f512]) ).
fof(f1323,plain,
( e1 != op(e2,e3)
| ~ spl3_56
| spl3_101 ),
inference(forward_demodulation,[],[f676,f448]) ).
fof(f1319,plain,
( ~ spl3_10
| spl3_46
| ~ spl3_106 ),
inference(avatar_contradiction_clause,[],[f1318]) ).
fof(f1318,plain,
( $false
| ~ spl3_10
| spl3_46
| ~ spl3_106 ),
inference(subsumption_resolution,[],[f1317,f402]) ).
fof(f1317,plain,
( e0 = op(e0,e3)
| ~ spl3_10
| ~ spl3_106 ),
inference(forward_demodulation,[],[f709,f244]) ).
fof(f1312,plain,
( ~ spl3_16
| ~ spl3_21
| spl3_34 ),
inference(avatar_contradiction_clause,[],[f1311]) ).
fof(f1311,plain,
( $false
| ~ spl3_16
| ~ spl3_21
| spl3_34 ),
inference(subsumption_resolution,[],[f1309,f350]) ).
fof(f1309,plain,
( e0 = op(e0,e1)
| ~ spl3_16
| ~ spl3_21 ),
inference(backward_demodulation,[],[f292,f270]) ).
fof(f270,plain,
( e1 = op(e2,e0)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f1304,plain,
( ~ spl3_1
| ~ spl3_82 ),
inference(avatar_contradiction_clause,[],[f1303]) ).
fof(f1303,plain,
( $false
| ~ spl3_1
| ~ spl3_82 ),
inference(subsumption_resolution,[],[f1302,f193]) ).
fof(f1302,plain,
( e0 = e2
| ~ spl3_1
| ~ spl3_82 ),
inference(forward_demodulation,[],[f206,f573]) ).
fof(f1297,plain,
( ~ spl3_104
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f1296,f242,f692]) ).
fof(f1296,plain,
( e3 != op(e1,e3)
| ~ spl3_10 ),
inference(forward_demodulation,[],[f103,f244]) ).
fof(f1291,plain,
( ~ spl3_61
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f1290,f571,f468]) ).
fof(f1290,plain,
( e0 != op(e1,e0)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f97,f573]) ).
fof(f1283,plain,
( ~ spl3_96
| ~ spl3_70 ),
inference(avatar_split_clause,[],[f1157,f510,f639]) ).
fof(f1157,plain,
( e1 != op(e0,e3)
| ~ spl3_70 ),
inference(forward_demodulation,[],[f119,f512]) ).
fof(f1260,plain,
( ~ spl3_36
| spl3_60
| ~ spl3_78 ),
inference(avatar_contradiction_clause,[],[f1259]) ).
fof(f1259,plain,
( $false
| ~ spl3_36
| spl3_60
| ~ spl3_78 ),
inference(subsumption_resolution,[],[f1258,f465]) ).
fof(f1258,plain,
( e1 = op(e1,e0)
| ~ spl3_36
| ~ spl3_78 ),
inference(forward_demodulation,[],[f553,f359]) ).
fof(f1254,plain,
( ~ spl3_50
| ~ spl3_51 ),
inference(avatar_contradiction_clause,[],[f1253]) ).
fof(f1253,plain,
( $false
| ~ spl3_50
| ~ spl3_51 ),
inference(subsumption_resolution,[],[f1252,f197]) ).
fof(f1252,plain,
( e1 = e2
| ~ spl3_50
| ~ spl3_51 ),
inference(forward_demodulation,[],[f424,f420]) ).
fof(f1227,plain,
( ~ spl3_12
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f1226,f459,f250]) ).
fof(f1226,plain,
( e3 != op(e3,e0)
| ~ spl3_59 ),
inference(forward_demodulation,[],[f114,f461]) ).
fof(f114,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1203,plain,
( ~ spl3_96
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1202,f586,f639]) ).
fof(f1202,plain,
( e1 != op(e0,e3)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f124,f588]) ).
fof(f1196,plain,
( ~ spl3_7
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f1195]) ).
fof(f1195,plain,
( $false
| ~ spl3_7
| ~ spl3_8 ),
inference(subsumption_resolution,[],[f1194,f231]) ).
fof(f1194,plain,
( op(e0,e0) != e2
| ~ spl3_8 ),
inference(forward_demodulation,[],[f100,f235]) ).
fof(f1171,plain,
( ~ spl3_60
| ~ spl3_79 ),
inference(avatar_contradiction_clause,[],[f1170]) ).
fof(f1170,plain,
( $false
| ~ spl3_60
| ~ spl3_79 ),
inference(subsumption_resolution,[],[f1169,f466]) ).
fof(f1169,plain,
( e1 != op(e1,e0)
| ~ spl3_79 ),
inference(forward_demodulation,[],[f95,f558]) ).
fof(f558,plain,
( e1 = op(e1,e1)
| ~ spl3_79 ),
inference(avatar_component_clause,[],[f556]) ).
fof(f1168,plain,
( ~ spl3_8
| ~ spl3_54 ),
inference(avatar_contradiction_clause,[],[f1167]) ).
fof(f1167,plain,
( $false
| ~ spl3_8
| ~ spl3_54 ),
inference(subsumption_resolution,[],[f1166,f235]) ).
fof(f1166,plain,
( e2 != op(e0,e1)
| ~ spl3_54 ),
inference(forward_demodulation,[],[f125,f439]) ).
fof(f1163,plain,
( ~ spl3_46
| ~ spl3_88 ),
inference(avatar_contradiction_clause,[],[f1162]) ).
fof(f1162,plain,
( $false
| ~ spl3_46
| ~ spl3_88 ),
inference(subsumption_resolution,[],[f1161,f198]) ).
fof(f1161,plain,
( e0 = e3
| ~ spl3_46
| ~ spl3_88 ),
inference(forward_demodulation,[],[f603,f403]) ).
fof(f1156,plain,
( ~ spl3_37
| spl3_26
| ~ spl3_79 ),
inference(avatar_split_clause,[],[f1155,f556,f313,f361]) ).
fof(f1155,plain,
( e0 != op(e1,e1)
| spl3_26
| ~ spl3_79 ),
inference(forward_demodulation,[],[f315,f558]) ).
fof(f1151,plain,
( ~ spl3_97
| ~ spl3_54 ),
inference(avatar_split_clause,[],[f1150,f437,f646]) ).
fof(f1150,plain,
( e2 != op(e3,e2)
| ~ spl3_54 ),
inference(forward_demodulation,[],[f107,f439]) ).
fof(f1137,plain,
( ~ spl3_43
| ~ spl3_79 ),
inference(avatar_contradiction_clause,[],[f1136]) ).
fof(f1136,plain,
( $false
| ~ spl3_43
| ~ spl3_79 ),
inference(subsumption_resolution,[],[f1135,f194]) ).
fof(f1135,plain,
( e1 = e3
| ~ spl3_43
| ~ spl3_79 ),
inference(forward_demodulation,[],[f390,f558]) ).
fof(f1123,plain,
( ~ spl3_62
| ~ spl3_85 ),
inference(avatar_split_clause,[],[f1122,f586,f473]) ).
fof(f1122,plain,
( e1 != op(e0,e1)
| ~ spl3_85 ),
inference(forward_demodulation,[],[f112,f588]) ).
fof(f1120,plain,
( ~ spl3_3
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f1039,f208,f212]) ).
fof(f1039,plain,
( e2 != op(e1,e1)
| ~ spl3_2 ),
inference(forward_demodulation,[],[f134,f210]) ).
fof(f1116,plain,
( ~ spl3_68
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1115,f531,f501]) ).
fof(f1115,plain,
( e0 != op(e2,e2)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f98,f533]) ).
fof(f1109,plain,
( ~ spl3_18
| ~ spl3_66 ),
inference(avatar_split_clause,[],[f1108,f493,f276]) ).
fof(f1108,plain,
( e2 != op(e2,e0)
| ~ spl3_66 ),
inference(forward_demodulation,[],[f111,f495]) ).
fof(f111,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1107,plain,
( ~ spl3_7
| spl3_19
| ~ spl3_85 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl3_7
| spl3_19
| ~ spl3_85 ),
inference(subsumption_resolution,[],[f1105,f588]) ).
fof(f1105,plain,
( e1 != op(e0,e2)
| ~ spl3_7
| spl3_19 ),
inference(forward_demodulation,[],[f283,f231]) ).
fof(f283,plain,
( e1 != op(e0,op(e0,e0))
| spl3_19 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl3_19
<=> e1 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f1097,plain,
( ~ spl3_56
| ~ spl3_66 ),
inference(avatar_contradiction_clause,[],[f1096]) ).
fof(f1096,plain,
( $false
| ~ spl3_56
| ~ spl3_66 ),
inference(subsumption_resolution,[],[f1095,f195]) ).
fof(f1095,plain,
( e2 = e3
| ~ spl3_56
| ~ spl3_66 ),
inference(backward_demodulation,[],[f448,f495]) ).
fof(f1086,plain,
( ~ spl3_48
| ~ spl3_56
| spl3_86 ),
inference(avatar_contradiction_clause,[],[f1085]) ).
fof(f1085,plain,
( $false
| ~ spl3_48
| ~ spl3_56
| spl3_86 ),
inference(subsumption_resolution,[],[f1084,f411]) ).
fof(f1084,plain,
( e0 != op(e2,e3)
| ~ spl3_56
| spl3_86 ),
inference(forward_demodulation,[],[f593,f448]) ).
fof(f593,plain,
( e0 != op(e2,op(e2,e2))
| spl3_86 ),
inference(avatar_component_clause,[],[f591]) ).
fof(f591,plain,
( spl3_86
<=> e0 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_86])]) ).
fof(f1056,plain,
( ~ spl3_71
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1055,f531,f515]) ).
fof(f1055,plain,
( e0 != op(e0,e2)
| ~ spl3_74 ),
inference(forward_demodulation,[],[f91,f533]) ).
fof(f1045,plain,
( ~ spl3_71
| ~ spl3_82 ),
inference(avatar_split_clause,[],[f1044,f571,f515]) ).
fof(f1044,plain,
( e0 != op(e0,e2)
| ~ spl3_82 ),
inference(forward_demodulation,[],[f127,f573]) ).
fof(f1037,plain,
( ~ spl3_37
| ~ spl3_43 ),
inference(avatar_contradiction_clause,[],[f1036]) ).
fof(f1036,plain,
( $false
| ~ spl3_37
| ~ spl3_43 ),
inference(subsumption_resolution,[],[f1035,f198]) ).
fof(f1035,plain,
( e0 = e3
| ~ spl3_37
| ~ spl3_43 ),
inference(backward_demodulation,[],[f390,f363]) ).
fof(f1034,plain,
( ~ spl3_48
| ~ spl3_49
| ~ spl3_87 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1033,plain,
( $false
| ~ spl3_48
| ~ spl3_49
| ~ spl3_87 ),
inference(subsumption_resolution,[],[f1032,f198]) ).
fof(f1032,plain,
( e0 = e3
| ~ spl3_48
| ~ spl3_49
| ~ spl3_87 ),
inference(forward_demodulation,[],[f1031,f416]) ).
fof(f1031,plain,
( e3 = op(e3,e0)
| ~ spl3_48
| ~ spl3_87 ),
inference(forward_demodulation,[],[f598,f411]) ).
fof(f1019,plain,
( ~ spl3_18
| ~ spl3_51 ),
inference(avatar_split_clause,[],[f1018,f422,f276]) ).
fof(f1018,plain,
( e2 != op(e2,e0)
| ~ spl3_51 ),
inference(forward_demodulation,[],[f132,f424]) ).
fof(f1017,plain,
( spl3_79
| ~ spl3_69
| ~ spl3_78 ),
inference(avatar_split_clause,[],[f1014,f551,f506,f556]) ).
fof(f1014,plain,
( e1 = op(e1,e1)
| ~ spl3_69
| ~ spl3_78 ),
inference(backward_demodulation,[],[f553,f508]) ).
fof(f1012,plain,
( ~ spl3_35
| ~ spl3_74 ),
inference(avatar_split_clause,[],[f1009,f531,f353]) ).
fof(f1009,plain,
( e0 != op(e3,e1)
| ~ spl3_74 ),
inference(backward_demodulation,[],[f107,f533]) ).
fof(f1004,plain,
( ~ spl3_46
| ~ spl3_48 ),
inference(avatar_contradiction_clause,[],[f1003]) ).
fof(f1003,plain,
( $false
| ~ spl3_46
| ~ spl3_48 ),
inference(subsumption_resolution,[],[f1002,f403]) ).
fof(f1002,plain,
( e0 != op(e0,e3)
| ~ spl3_48 ),
inference(forward_demodulation,[],[f119,f411]) ).
fof(f994,plain,
( ~ spl3_68
| ~ spl3_48 ),
inference(avatar_split_clause,[],[f992,f409,f501]) ).
fof(f992,plain,
( e0 != op(e2,e2)
| ~ spl3_48 ),
inference(backward_demodulation,[],[f96,f411]) ).
fof(f984,plain,
( ~ spl3_34
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f983,f353,f349]) ).
fof(f983,plain,
( e0 != op(e0,e1)
| ~ spl3_35 ),
inference(forward_demodulation,[],[f125,f355]) ).
fof(f965,plain,
( ~ spl3_50
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f964,f259,f418]) ).
fof(f964,plain,
( e1 != op(e3,e0)
| ~ spl3_14 ),
inference(forward_demodulation,[],[f94,f260]) ).
fof(f94,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f953,plain,
( ~ spl3_37
| ~ spl3_35 ),
inference(avatar_split_clause,[],[f952,f353,f361]) ).
fof(f952,plain,
( e0 != op(e1,e1)
| ~ spl3_35 ),
inference(forward_demodulation,[],[f101,f355]) ).
fof(f951,plain,
( ~ spl3_42
| ~ spl3_62 ),
inference(avatar_contradiction_clause,[],[f950]) ).
fof(f950,plain,
( $false
| ~ spl3_42
| ~ spl3_62 ),
inference(subsumption_resolution,[],[f949,f194]) ).
fof(f949,plain,
( e1 = e3
| ~ spl3_42
| ~ spl3_62 ),
inference(backward_demodulation,[],[f386,f475]) ).
fof(f946,plain,
( ~ spl3_3
| ~ spl3_43 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f945,plain,
( $false
| ~ spl3_3
| ~ spl3_43 ),
inference(subsumption_resolution,[],[f944,f195]) ).
fof(f944,plain,
( e2 = e3
| ~ spl3_3
| ~ spl3_43 ),
inference(forward_demodulation,[],[f390,f214]) ).
fof(f942,plain,
( ~ spl3_28
| ~ spl3_57 ),
inference(avatar_contradiction_clause,[],[f941]) ).
fof(f941,plain,
( $false
| ~ spl3_28
| ~ spl3_57 ),
inference(subsumption_resolution,[],[f940,f195]) ).
fof(f940,plain,
( e2 = e3
| ~ spl3_28
| ~ spl3_57 ),
inference(backward_demodulation,[],[f452,f324]) ).
fof(f891,plain,
( ~ spl3_47
| ~ spl3_46 ),
inference(avatar_split_clause,[],[f890,f401,f405]) ).
fof(f890,plain,
( e0 != op(e1,e3)
| ~ spl3_46 ),
inference(backward_demodulation,[],[f104,f403]) ).
fof(f887,plain,
( ~ spl3_44
| ~ spl3_67
| spl3_75 ),
inference(avatar_split_clause,[],[f812,f536,f497,f392]) ).
fof(f812,plain,
( e3 != op(e2,e1)
| ~ spl3_67
| spl3_75 ),
inference(backward_demodulation,[],[f538,f499]) ).
fof(f538,plain,
( e3 != op(e2,op(e2,e2))
| spl3_75 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f877,plain,
( ~ spl3_16
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f876,f497,f268]) ).
fof(f876,plain,
( e1 != op(e2,e0)
| ~ spl3_67 ),
inference(forward_demodulation,[],[f111,f499]) ).
fof(f870,plain,
( ~ spl3_69
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f869,f497,f506]) ).
fof(f869,plain,
( e1 != op(e2,e1)
| ~ spl3_67 ),
inference(forward_demodulation,[],[f92,f499]) ).
fof(f868,plain,
( spl3_92
| ~ spl3_67
| ~ spl3_80 ),
inference(avatar_split_clause,[],[f837,f561,f497,f620]) ).
fof(f837,plain,
( e2 = op(e2,e1)
| ~ spl3_67
| ~ spl3_80 ),
inference(forward_demodulation,[],[f563,f499]) ).
fof(f846,plain,
( ~ spl3_23
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f845]) ).
fof(f845,plain,
( $false
| ~ spl3_23
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f844,f196]) ).
fof(f844,plain,
( e0 = e1
| ~ spl3_23
| ~ spl3_24 ),
inference(backward_demodulation,[],[f305,f301]) ).
fof(f836,plain,
( spl3_71
| ~ spl3_18
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f835,f290,f276,f515]) ).
fof(f835,plain,
( e0 = op(e0,e2)
| ~ spl3_18
| ~ spl3_21 ),
inference(forward_demodulation,[],[f292,f278]) ).
fof(f278,plain,
( e2 = op(e2,e0)
| ~ spl3_18 ),
inference(avatar_component_clause,[],[f276]) ).
fof(f834,plain,
( ~ spl3_93
| ~ spl3_59 ),
inference(avatar_split_clause,[],[f832,f459,f625]) ).
fof(f832,plain,
( e3 != op(e1,e2)
| ~ spl3_59 ),
inference(backward_demodulation,[],[f135,f461]) ).
fof(f826,plain,
( ~ spl3_29
| ~ spl3_39 ),
inference(avatar_contradiction_clause,[],[f825]) ).
fof(f825,plain,
( $false
| ~ spl3_29
| ~ spl3_39 ),
inference(subsumption_resolution,[],[f824,f193]) ).
fof(f824,plain,
( e0 = e2
| ~ spl3_29
| ~ spl3_39 ),
inference(backward_demodulation,[],[f328,f372]) ).
fof(f823,plain,
( ~ spl3_28
| ~ spl3_29 ),
inference(avatar_split_clause,[],[f819,f326,f322]) ).
fof(f819,plain,
( e2 != op(e2,e3)
| ~ spl3_29 ),
inference(backward_demodulation,[],[f110,f328]) ).
fof(f110,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f815,plain,
( ~ spl3_98
| ~ spl3_67 ),
inference(avatar_split_clause,[],[f809,f497,f650]) ).
fof(f809,plain,
( e1 != op(e3,e2)
| ~ spl3_67 ),
inference(backward_demodulation,[],[f98,f499]) ).
fof(f807,plain,
( ~ spl3_10
| ~ spl3_60 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl3_10
| ~ spl3_60 ),
inference(subsumption_resolution,[],[f805,f194]) ).
fof(f805,plain,
( e1 = e3
| ~ spl3_10
| ~ spl3_60 ),
inference(forward_demodulation,[],[f244,f466]) ).
fof(f796,plain,
( ~ spl3_28
| ~ spl3_18 ),
inference(avatar_split_clause,[],[f795,f276,f322]) ).
fof(f795,plain,
( e2 != op(e2,e3)
| ~ spl3_18 ),
inference(backward_demodulation,[],[f120,f278]) ).
fof(f792,plain,
( ~ spl3_28
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f785,f221,f322]) ).
fof(f785,plain,
( e2 != op(e2,e3)
| ~ spl3_5 ),
inference(backward_demodulation,[],[f119,f223]) ).
fof(f778,plain,
( ~ spl3_8
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f775,f225,f233]) ).
fof(f775,plain,
( e2 != op(e0,e1)
| ~ spl3_6 ),
inference(backward_demodulation,[],[f112,f227]) ).
fof(f760,plain,
( ~ spl3_34
| ~ spl3_36 ),
inference(avatar_split_clause,[],[f756,f357,f349]) ).
fof(f756,plain,
( e0 != op(e0,e1)
| ~ spl3_36 ),
inference(backward_demodulation,[],[f105,f359]) ).
fof(f752,plain,
( ~ spl3_82
| ~ spl3_3
| spl3_26 ),
inference(avatar_split_clause,[],[f741,f313,f212,f571]) ).
fof(f741,plain,
( e0 != op(e1,e2)
| ~ spl3_3
| spl3_26 ),
inference(backward_demodulation,[],[f315,f214]) ).
fof(f738,plain,
( ~ spl3_58
| ~ spl3_12 ),
inference(avatar_split_clause,[],[f734,f250,f455]) ).
fof(f734,plain,
( e3 != op(e3,e3)
| ~ spl3_12 ),
inference(backward_demodulation,[],[f94,f252]) ).
fof(f729,plain,
( ~ spl3_62
| ~ spl3_55 ),
inference(avatar_split_clause,[],[f723,f441,f473]) ).
fof(f723,plain,
( e1 != op(e0,e1)
| ~ spl3_55 ),
inference(backward_demodulation,[],[f125,f443]) ).
fof(f728,plain,
( ~ spl3_98
| ~ spl3_55 ),
inference(avatar_split_clause,[],[f719,f441,f650]) ).
fof(f719,plain,
( e1 != op(e3,e2)
| ~ spl3_55 ),
inference(backward_demodulation,[],[f107,f443]) ).
fof(f718,plain,
( spl3_107
| spl3_22
| spl3_31
| spl3_32 ),
inference(avatar_split_clause,[],[f86,f339,f335,f294,f715]) ).
fof(f294,plain,
( spl3_22
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f335,plain,
( spl3_31
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_31])]) ).
fof(f339,plain,
( spl3_32
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_32])]) ).
fof(f86,plain,
( sP1
| sP2
| sP0
| e3 = op(e3,op(e1,e3)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e0 = op(e0,op(e1,e0))
& e3 = op(e3,op(e1,e3))
& e2 = op(e2,op(e1,e2))
& e1 = op(e1,op(e1,e1)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f5,f56,f55,f54]) ).
fof(f54,plain,
( ( e0 = op(e0,op(e2,e0))
& e2 = op(e2,op(e2,e2))
& e3 = op(e3,op(e2,e3))
& e1 = op(e1,op(e2,e1)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e1 = op(e1,op(e3,e1))
& e3 = op(e3,op(e3,e3))
& e0 = op(e0,op(e3,e0))
& e2 = op(e2,op(e3,e2)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e1 = op(e1,op(e0,e1))
& e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e0 = op(e0,op(e0,e0)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5,axiom,
( ( e0 = op(e0,op(e1,e0))
& e3 = op(e3,op(e1,e3))
& e2 = op(e2,op(e1,e2))
& e1 = op(e1,op(e1,e1)) )
| ( e1 = op(e1,op(e0,e1))
& e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e0 = op(e0,op(e0,e0)) )
| ( e1 = op(e1,op(e3,e1))
& e3 = op(e3,op(e3,e3))
& e0 = op(e0,op(e3,e0))
& e2 = op(e2,op(e3,e2)) )
| ( e0 = op(e0,op(e2,e0))
& e2 = op(e2,op(e2,e2))
& e3 = op(e3,op(e2,e3))
& e1 = op(e1,op(e2,e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f713,plain,
( spl3_105
| spl3_1
| spl3_93
| spl3_82 ),
inference(avatar_split_clause,[],[f155,f571,f625,f204,f698]) ).
fof(f155,plain,
( e0 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1)
| e1 = op(e0,e1) )
& ( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e1 = op(e2,e0) )
& ( e0 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e3 )
& ( e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2)
| e2 = op(e1,e2) )
& ( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e3 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3)
| e2 = op(e2,e3) )
& ( e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2) )
& ( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) )
& ( e0 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1)
| e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f711,plain,
( spl3_43
| spl3_93
| spl3_10
| spl3_104 ),
inference(avatar_split_clause,[],[f171,f692,f242,f625,f388]) ).
fof(f171,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e2)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e2) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1) )
& ( e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e3,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0) )
& ( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e2)
| e2 = op(e0,e3) )
& ( e0 = op(e0,e0)
| e0 = op(e0,e2)
| e0 = op(e0,e3)
| e0 = op(e0,e1) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e1) )
& ( e2 = op(e0,e1)
| e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e3,e1) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e0)
| e1 = op(e3,e3) )
& ( op(e0,e0) = e1
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2)
| e0 = op(e2,e2) )
& ( e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e3,e1)
| e1 = op(e1,e1) )
& ( e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) )
& ( e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e1) )
& ( e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e0)
| e3 = op(e2,e3) )
& ( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e2)
| e3 = op(e0,e1) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3) )
& ( e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e3)
| e2 = op(e1,e0) )
& ( e2 = op(e2,e0)
| e2 = op(e1,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f710,plain,
( spl3_31
| spl3_22
| spl3_106
| spl3_32 ),
inference(avatar_split_clause,[],[f87,f339,f707,f294,f335]) ).
fof(f87,plain,
( sP1
| e0 = op(e0,op(e1,e0))
| sP0
| sP2 ),
inference(cnf_transformation,[],[f57]) ).
fof(f705,plain,
( spl3_51
| spl3_97
| spl3_29
| spl3_54 ),
inference(avatar_split_clause,[],[f166,f437,f326,f646,f422]) ).
fof(f166,plain,
( e2 = op(e3,e1)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f704,plain,
( spl3_1
| spl3_97
| spl3_66
| spl3_6 ),
inference(avatar_split_clause,[],[f173,f225,f493,f646,f204]) ).
fof(f173,plain,
( e2 = op(e0,e2)
| e2 = op(e2,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f703,plain,
( spl3_105
| spl3_67
| spl3_85
| spl3_98 ),
inference(avatar_split_clause,[],[f176,f650,f586,f497,f698]) ).
fof(f176,plain,
( e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f701,plain,
( spl3_60
| spl3_105
| spl3_79
| spl3_95 ),
inference(avatar_split_clause,[],[f170,f635,f556,f698,f464]) ).
fof(f170,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f696,plain,
( spl3_104
| spl3_88
| spl3_57
| spl3_58 ),
inference(avatar_split_clause,[],[f172,f455,f450,f601,f692]) ).
fof(f172,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e0,e3)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f695,plain,
( spl3_47
| spl3_104
| spl3_95
| spl3_2 ),
inference(avatar_split_clause,[],[f149,f208,f635,f692,f405]) ).
fof(f149,plain,
( e2 = op(e1,e3)
| e1 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f690,plain,
( spl3_8
| spl3_3
| spl3_92
| spl3_54 ),
inference(avatar_split_clause,[],[f180,f437,f620,f212,f233]) ).
fof(f180,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f689,plain,
( spl3_82
| spl3_47
| spl3_61
| spl3_37 ),
inference(avatar_split_clause,[],[f169,f361,f468,f405,f571]) ).
fof(f169,plain,
( e0 = op(e1,e1)
| e0 = op(e1,e0)
| e0 = op(e1,e3)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f688,plain,
( spl3_4
| spl3_7
| spl3_51
| spl3_18 ),
inference(avatar_split_clause,[],[f161,f276,f422,f229,f216]) ).
fof(f161,plain,
( e2 = op(e2,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f687,plain,
( spl3_32
| spl3_31
| spl3_103
| spl3_22 ),
inference(avatar_split_clause,[],[f85,f294,f684,f335,f339]) ).
fof(f85,plain,
( sP0
| e2 = op(e2,op(e1,e2))
| sP2
| sP1 ),
inference(cnf_transformation,[],[f57]) ).
fof(f671,plain,
( spl3_69
| spl3_62
| spl3_55
| spl3_79 ),
inference(avatar_split_clause,[],[f175,f556,f441,f473,f506]) ).
fof(f175,plain,
( e1 = op(e1,e1)
| e1 = op(e3,e1)
| e1 = op(e0,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f670,plain,
( spl3_46
| spl3_5
| spl3_96
| spl3_88 ),
inference(avatar_split_clause,[],[f150,f601,f639,f221,f401]) ).
fof(f150,plain,
( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e2 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f669,plain,
( ~ spl3_32
| spl3_100 ),
inference(avatar_split_clause,[],[f79,f666,f339]) ).
fof(f79,plain,
( e1 = op(e1,op(e3,e1))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 = op(e1,op(e3,e1))
& e3 = op(e3,op(e3,e3))
& e0 = op(e0,op(e3,e0))
& e2 = op(e2,op(e3,e2)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f662,plain,
( spl3_55
| spl3_98
| spl3_50
| spl3_14 ),
inference(avatar_split_clause,[],[f179,f259,f418,f650,f441]) ).
fof(f179,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e0)
| e1 = op(e3,e2)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f661,plain,
( spl3_14
| spl3_29
| spl3_58
| spl3_39 ),
inference(avatar_split_clause,[],[f158,f371,f455,f326,f259]) ).
fof(f158,plain,
( e0 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f660,plain,
( spl3_99
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f74,f335,f657]) ).
fof(f74,plain,
( ~ sP2
| e3 = op(e3,op(e0,e3)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e1 = op(e1,op(e0,e1))
& e3 = op(e3,op(e0,e3))
& e2 = op(e2,op(e0,e2))
& e0 = op(e0,op(e0,e0)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f655,plain,
( spl3_62
| spl3_24
| spl3_85
| spl3_96 ),
inference(avatar_split_clause,[],[f164,f639,f586,f303,f473]) ).
fof(f164,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f653,plain,
( spl3_97
| spl3_98
| spl3_74
| spl3_59 ),
inference(avatar_split_clause,[],[f152,f459,f531,f650,f646]) ).
fof(f152,plain,
( e3 = op(e3,e2)
| e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f643,plain,
( spl3_60
| spl3_16
| spl3_50
| spl3_24 ),
inference(avatar_split_clause,[],[f178,f303,f418,f268,f464]) ).
fof(f178,plain,
( op(e0,e0) = e1
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f642,plain,
( spl3_95
| spl3_96
| spl3_70
| spl3_14 ),
inference(avatar_split_clause,[],[f174,f259,f510,f639,f635]) ).
fof(f174,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f633,plain,
( spl3_94
| ~ spl3_32 ),
inference(avatar_split_clause,[],[f76,f339,f630]) ).
fof(f76,plain,
( ~ sP1
| e2 = op(e2,op(e3,e2)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f628,plain,
( spl3_56
| spl3_59
| spl3_93
| spl3_84 ),
inference(avatar_split_clause,[],[f191,f582,f625,f459,f446]) ).
fof(f191,plain,
( e3 = op(e0,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f623,plain,
( spl3_44
| spl3_69
| spl3_92
| spl3_36 ),
inference(avatar_split_clause,[],[f154,f357,f620,f506,f392]) ).
fof(f154,plain,
( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f609,plain,
( ~ spl3_43
| ~ spl3_89
| ~ spl3_52 ),
inference(avatar_split_clause,[],[f138,f427,f606,f388]) ).
fof(f138,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(op(e1,op(e1,e1)),op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f604,plain,
( spl3_84
| spl3_11
| spl3_88
| spl3_42 ),
inference(avatar_split_clause,[],[f167,f384,f601,f246,f582]) ).
fof(f167,plain,
( e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f599,plain,
( spl3_87
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f81,f294,f596]) ).
fof(f81,plain,
( ~ sP0
| e3 = op(e3,op(e2,e3)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 = op(e0,op(e2,e0))
& e2 = op(e2,op(e2,e2))
& e3 = op(e3,op(e2,e3))
& e1 = op(e1,op(e2,e1)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f594,plain,
( ~ spl3_56
| ~ spl3_76
| ~ spl3_86 ),
inference(avatar_split_clause,[],[f70,f591,f540,f446]) ).
fof(f70,plain,
( e0 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f589,plain,
( spl3_84
| spl3_71
| spl3_6
| spl3_85 ),
inference(avatar_split_clause,[],[f151,f586,f225,f515,f582]) ).
fof(f151,plain,
( e1 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f580,plain,
( ~ spl3_32
| spl3_83 ),
inference(avatar_split_clause,[],[f77,f577,f339]) ).
fof(f77,plain,
( e0 = op(e0,op(e3,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f59]) ).
fof(f575,plain,
( spl3_48
| spl3_36
| spl3_17
| spl3_68 ),
inference(avatar_split_clause,[],[f189,f501,f272,f357,f409]) ).
fof(f189,plain,
( e0 = op(e2,e2)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f569,plain,
( ~ spl3_81
| ~ spl3_67
| ~ spl3_75 ),
inference(avatar_split_clause,[],[f68,f536,f497,f566]) ).
fof(f68,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f564,plain,
( spl3_80
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f82,f294,f561]) ).
fof(f82,plain,
( ~ sP0
| e2 = op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f559,plain,
( spl3_37
| spl3_79
| spl3_43
| spl3_3 ),
inference(avatar_split_clause,[],[f145,f212,f388,f556,f361]) ).
fof(f145,plain,
( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f554,plain,
( spl3_78
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f80,f294,f551]) ).
fof(f80,plain,
( ~ sP0
| e1 = op(e1,op(e2,e1)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f549,plain,
( ~ spl3_77
| ~ spl3_37
| ~ spl3_73 ),
inference(avatar_split_clause,[],[f63,f526,f361,f546]) ).
fof(f63,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f544,plain,
( spl3_57
| spl3_28
| spl3_70
| spl3_48 ),
inference(avatar_split_clause,[],[f153,f409,f510,f322,f450]) ).
fof(f153,plain,
( e0 = op(e2,e3)
| e1 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f534,plain,
( spl3_74
| spl3_35
| spl3_49
| spl3_39 ),
inference(avatar_split_clause,[],[f181,f371,f414,f353,f531]) ).
fof(f181,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e0)
| e0 = op(e3,e1)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f529,plain,
( ~ spl3_73
| ~ spl3_26
| ~ spl3_43 ),
inference(avatar_split_clause,[],[f143,f388,f313,f526]) ).
fof(f143,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f523,plain,
( ~ spl3_41
| ~ spl3_14
| ~ spl3_72 ),
inference(avatar_split_clause,[],[f88,f520,f259,f379]) ).
fof(f88,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f513,plain,
( spl3_16
| spl3_67
| spl3_69
| spl3_70 ),
inference(avatar_split_clause,[],[f188,f510,f506,f497,f268]) ).
fof(f188,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f504,plain,
( spl3_56
| spl3_66
| spl3_67
| spl3_68 ),
inference(avatar_split_clause,[],[f148,f501,f497,f493,f446]) ).
fof(f148,plain,
( e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f491,plain,
( ~ spl3_31
| spl3_65 ),
inference(avatar_split_clause,[],[f73,f488,f335]) ).
fof(f73,plain,
( e2 = op(e2,op(e0,e2))
| ~ sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f476,plain,
( spl3_8
| spl3_62
| spl3_42
| spl3_34 ),
inference(avatar_split_clause,[],[f160,f349,f384,f473,f233]) ).
fof(f160,plain,
( e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f471,plain,
( spl3_60
| spl3_10
| spl3_4
| spl3_61 ),
inference(avatar_split_clause,[],[f147,f468,f216,f242,f464]) ).
fof(f147,plain,
( e0 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f462,plain,
( spl3_58
| spl3_12
| spl3_45
| spl3_59 ),
inference(avatar_split_clause,[],[f190,f459,f396,f250,f455]) ).
fof(f190,plain,
( e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f453,plain,
( spl3_44
| spl3_56
| spl3_9
| spl3_57 ),
inference(avatar_split_clause,[],[f168,f450,f238,f446,f392]) ).
fof(f168,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f444,plain,
( spl3_35
| spl3_45
| spl3_54
| spl3_55 ),
inference(avatar_split_clause,[],[f159,f441,f437,f396,f353]) ).
fof(f159,plain,
( e1 = op(e3,e1)
| e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f435,plain,
( spl3_53
| ~ spl3_32 ),
inference(avatar_split_clause,[],[f78,f339,f432]) ).
fof(f78,plain,
( ~ sP1
| e3 = op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f430,plain,
( ~ spl3_27
| ~ spl3_52
| ~ spl3_37 ),
inference(avatar_split_clause,[],[f69,f361,f427,f317]) ).
fof(f69,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f425,plain,
( spl3_12
| spl3_49
| spl3_50
| spl3_51 ),
inference(avatar_split_clause,[],[f146,f422,f418,f414,f250]) ).
fof(f146,plain,
( e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f412,plain,
( spl3_39
| spl3_46
| spl3_47
| spl3_48 ),
inference(avatar_split_clause,[],[f163,f409,f405,f401,f371]) ).
fof(f163,plain,
( e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f399,plain,
( spl3_42
| spl3_43
| spl3_44
| spl3_45 ),
inference(avatar_split_clause,[],[f165,f396,f392,f388,f384]) ).
fof(f165,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f369,plain,
( spl3_38
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f72,f335,f366]) ).
fof(f72,plain,
( ~ sP2
| e0 = op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f364,plain,
( spl3_34
| spl3_35
| spl3_36
| spl3_37 ),
inference(avatar_split_clause,[],[f192,f361,f357,f353,f349]) ).
fof(f192,plain,
( e0 = op(e1,e1)
| e0 = op(e2,e1)
| e0 = op(e3,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f347,plain,
( spl3_33
| ~ spl3_31 ),
inference(avatar_split_clause,[],[f75,f335,f344]) ).
fof(f75,plain,
( ~ sP2
| e1 = op(e1,op(e0,e1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f342,plain,
( spl3_30
| spl3_31
| spl3_22
| spl3_32 ),
inference(avatar_split_clause,[],[f84,f339,f294,f335,f331]) ).
fof(f84,plain,
( sP1
| sP0
| sP2
| e1 = op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f329,plain,
( spl3_2
| spl3_5
| spl3_28
| spl3_29 ),
inference(avatar_split_clause,[],[f186,f326,f322,f221,f208]) ).
fof(f186,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
( ~ spl3_3
| ~ spl3_26
| ~ spl3_27 ),
inference(avatar_split_clause,[],[f142,f317,f313,f212]) ).
fof(f142,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e2 != op(e1,e1) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f306,plain,
( spl3_7
| spl3_23
| spl3_11
| spl3_24 ),
inference(avatar_split_clause,[],[f156,f303,f246,f299,f229]) ).
fof(f156,plain,
( op(e0,e0) = e1
| op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f1]) ).
fof(f297,plain,
( spl3_21
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f83,f294,f290]) ).
fof(f83,plain,
( ~ sP0
| e0 = op(e0,op(e2,e0)) ),
inference(cnf_transformation,[],[f60]) ).
fof(f288,plain,
( ~ spl3_19
| ~ spl3_7
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f199,f285,f229,f281]) ).
fof(f199,plain,
( e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e2
| e1 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,op(e0,e0)),op(e0,e0))
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( op(e0,e0) = e2
& e3 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f279,plain,
( spl3_16
| spl3_9
| spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f157,f276,f272,f238,f268]) ).
fof(f157,plain,
( e2 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f253,plain,
( spl3_9
| spl3_10
| spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f184,f250,f246,f242,f238]) ).
fof(f184,plain,
( e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e1,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f236,plain,
( spl3_5
| spl3_6
| spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f183,f233,f229,f225,f221]) ).
fof(f183,plain,
( e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e2)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f219,plain,
( spl3_1
| spl3_2
| spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f162,f216,f212,f208,f204]) ).
fof(f162,plain,
( e2 = op(e1,e0)
| e2 = op(e1,e1)
| e2 = op(e1,e3)
| e2 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG132+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n006.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 14:54:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.45 % (24075)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)
% 0.18/0.46 % (24100)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.47 % (24091)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.48 % (24077)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)
% 0.18/0.49 % (24072)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.49 % (24079)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.50 % (24076)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (24085)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (24092)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)
% 0.18/0.50 % (24088)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.51 % (24073)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)
% 0.18/0.52 % (24095)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)
% 0.18/0.52 % (24079)Instruction limit reached!
% 0.18/0.52 % (24079)------------------------------
% 0.18/0.52 % (24079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (24079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (24079)Termination reason: Unknown
% 0.18/0.52 % (24079)Termination phase: Saturation
% 0.18/0.52
% 0.18/0.52 % (24079)Memory used [KB]: 5628
% 0.18/0.52 % (24079)Time elapsed: 0.005 s
% 0.18/0.52 % (24079)Instructions burned: 7 (million)
% 0.18/0.52 % (24079)------------------------------
% 0.18/0.52 % (24079)------------------------------
% 0.18/0.52 % (24096)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.52 % (24084)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.52 % (24099)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)
% 0.18/0.52 % (24089)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (24078)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)
% 0.18/0.52 % (24074)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)
% 0.18/0.52 % (24101)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (24087)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53 % (24093)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.53 % (24090)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (24080)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (24080)Instruction limit reached!
% 0.18/0.53 % (24080)------------------------------
% 0.18/0.53 % (24080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (24080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (24080)Termination reason: Unknown
% 0.18/0.53 % (24080)Termination phase: shuffling
% 0.18/0.53
% 0.18/0.53 % (24080)Memory used [KB]: 895
% 0.18/0.53 % (24080)Time elapsed: 0.003 s
% 0.18/0.53 % (24080)Instructions burned: 2 (million)
% 0.18/0.53 % (24080)------------------------------
% 0.18/0.53 % (24080)------------------------------
% 0.18/0.53 % (24081)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)
% 1.52/0.54 % (24097)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.52/0.54 % (24086)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.52/0.54 % (24075)Instruction limit reached!
% 1.52/0.54 % (24075)------------------------------
% 1.52/0.54 % (24075)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.52/0.54 % (24075)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.52/0.54 % (24075)Termination reason: Unknown
% 1.52/0.54 % (24075)Termination phase: Saturation
% 1.52/0.54
% 1.52/0.54 % (24075)Memory used [KB]: 6652
% 1.52/0.54 % (24075)Time elapsed: 0.162 s
% 1.52/0.54 % (24075)Instructions burned: 53 (million)
% 1.52/0.54 % (24075)------------------------------
% 1.52/0.54 % (24075)------------------------------
% 1.52/0.54 % (24083)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.52/0.54 TRYING [4]
% 1.52/0.54 % (24102)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.52/0.55 % (24082)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.52/0.55 % (24098)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.52/0.55 TRYING [4]
% 1.65/0.56 % (24077)Instruction limit reached!
% 1.65/0.56 % (24077)------------------------------
% 1.65/0.56 % (24077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.56 % (24077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.56 % (24077)Termination reason: Unknown
% 1.65/0.56 % (24077)Termination phase: Saturation
% 1.65/0.56
% 1.65/0.56 % (24077)Memory used [KB]: 6012
% 1.65/0.56 % (24077)Time elapsed: 0.146 s
% 1.65/0.56 % (24077)Instructions burned: 49 (million)
% 1.65/0.56 % (24077)------------------------------
% 1.65/0.56 % (24077)------------------------------
% 1.65/0.58 % (24078)Instruction limit reached!
% 1.65/0.58 % (24078)------------------------------
% 1.65/0.58 % (24078)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (24074)Instruction limit reached!
% 1.65/0.58 % (24074)------------------------------
% 1.65/0.58 % (24074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.58 % (24074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.58 % (24074)Termination reason: Unknown
% 1.65/0.58 % (24074)Termination phase: Saturation
% 1.65/0.58
% 1.65/0.58 % (24074)Memory used [KB]: 1151
% 1.65/0.58 % (24074)Time elapsed: 0.170 s
% 1.65/0.58 % (24074)Instructions burned: 39 (million)
% 1.65/0.58 % (24074)------------------------------
% 1.65/0.58 % (24074)------------------------------
% 1.65/0.58 % (24076)Instruction limit reached!
% 1.65/0.58 % (24076)------------------------------
% 1.65/0.58 % (24076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.59 % (24076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (24076)Termination reason: Unknown
% 1.65/0.59 % (24076)Termination phase: Saturation
% 1.65/0.59
% 1.65/0.59 % (24076)Memory used [KB]: 6268
% 1.65/0.59 % (24076)Time elapsed: 0.027 s
% 1.65/0.59 % (24076)Instructions burned: 52 (million)
% 1.65/0.59 % (24076)------------------------------
% 1.65/0.59 % (24076)------------------------------
% 1.65/0.59 TRYING [4]
% 1.65/0.59 % (24078)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.59 % (24078)Termination reason: Unknown
% 1.65/0.59 % (24078)Termination phase: Finite model building SAT solving
% 1.65/0.59
% 1.65/0.59 % (24078)Memory used [KB]: 7547
% 1.65/0.59 % (24078)Time elapsed: 0.188 s
% 1.65/0.59 % (24078)Instructions burned: 52 (million)
% 1.65/0.59 % (24078)------------------------------
% 1.65/0.59 % (24078)------------------------------
% 1.65/0.60 TRYING [5]
% 1.65/0.60 % (24091)Instruction limit reached!
% 1.65/0.60 % (24091)------------------------------
% 1.65/0.60 % (24091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (24091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (24091)Termination reason: Unknown
% 1.65/0.60 % (24091)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (24091)Memory used [KB]: 1407
% 1.65/0.60 % (24091)Time elapsed: 0.222 s
% 1.65/0.60 % (24091)Instructions burned: 102 (million)
% 1.65/0.60 % (24091)------------------------------
% 1.65/0.60 % (24091)------------------------------
% 1.65/0.62 % (24081)Instruction limit reached!
% 1.65/0.62 % (24081)------------------------------
% 1.65/0.62 % (24081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (24081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (24081)Termination reason: Unknown
% 1.65/0.62 % (24081)Termination phase: Saturation
% 1.65/0.62
% 1.65/0.62 % (24081)Memory used [KB]: 1407
% 1.65/0.62 % (24081)Time elapsed: 0.210 s
% 1.65/0.62 % (24081)Instructions burned: 52 (million)
% 1.65/0.62 % (24081)------------------------------
% 1.65/0.62 % (24081)------------------------------
% 1.65/0.62 % (24089)Instruction limit reached!
% 1.65/0.62 % (24089)------------------------------
% 1.65/0.62 % (24089)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (24089)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (24089)Termination reason: Unknown
% 1.65/0.62 % (24089)Termination phase: Finite model building SAT solving
% 1.65/0.62
% 1.65/0.62 % (24089)Memory used [KB]: 7675
% 1.65/0.62 % (24089)Time elapsed: 0.213 s
% 1.65/0.62 % (24089)Instructions burned: 61 (million)
% 1.65/0.62 % (24089)------------------------------
% 1.65/0.62 % (24089)------------------------------
% 1.65/0.62 % (24073)Instruction limit reached!
% 1.65/0.62 % (24073)------------------------------
% 1.65/0.62 % (24073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.62 % (24073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.62 % (24073)Termination reason: Unknown
% 1.65/0.62 % (24073)Termination phase: Saturation
% 1.65/0.62
% 1.65/0.62 % (24073)Memory used [KB]: 6268
% 1.65/0.62 % (24073)Time elapsed: 0.027 s
% 1.65/0.62 % (24073)Instructions burned: 51 (million)
% 1.65/0.62 % (24073)------------------------------
% 1.65/0.62 % (24073)------------------------------
% 2.20/0.63 % (24086)Instruction limit reached!
% 2.20/0.63 % (24086)------------------------------
% 2.20/0.63 % (24086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (24086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (24086)Termination reason: Unknown
% 2.20/0.63 % (24086)Termination phase: Saturation
% 2.20/0.63
% 2.20/0.63 % (24086)Memory used [KB]: 6396
% 2.20/0.63 % (24086)Time elapsed: 0.035 s
% 2.20/0.63 % (24086)Instructions burned: 70 (million)
% 2.20/0.63 % (24086)------------------------------
% 2.20/0.63 % (24086)------------------------------
% 2.20/0.63 % (24082)Instruction limit reached!
% 2.20/0.63 % (24082)------------------------------
% 2.20/0.63 % (24082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (24082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (24082)Termination reason: Unknown
% 2.20/0.63 % (24082)Termination phase: Saturation
% 2.20/0.63
% 2.20/0.63 % (24082)Memory used [KB]: 6780
% 2.20/0.63 % (24082)Time elapsed: 0.027 s
% 2.20/0.63 % (24082)Instructions burned: 52 (million)
% 2.20/0.63 % (24082)------------------------------
% 2.20/0.63 % (24082)------------------------------
% 2.20/0.63 % (24085)Instruction limit reached!
% 2.20/0.63 % (24085)------------------------------
% 2.20/0.63 % (24085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.63 % (24085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.63 % (24085)Termination reason: Unknown
% 2.20/0.63 % (24085)Termination phase: Saturation
% 2.20/0.63
% 2.20/0.63 % (24085)Memory used [KB]: 6268
% 2.20/0.63 % (24085)Time elapsed: 0.231 s
% 2.20/0.63 % (24085)Instructions burned: 99 (million)
% 2.20/0.63 % (24085)------------------------------
% 2.20/0.63 % (24085)------------------------------
% 2.20/0.65 % (24087)Instruction limit reached!
% 2.20/0.65 % (24087)------------------------------
% 2.20/0.65 % (24087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.65 % (24087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.65 % (24087)Termination reason: Unknown
% 2.20/0.65 % (24087)Termination phase: Saturation
% 2.20/0.65
% 2.20/0.65 % (24087)Memory used [KB]: 1535
% 2.20/0.65 % (24087)Time elapsed: 0.195 s
% 2.20/0.65 % (24087)Instructions burned: 77 (million)
% 2.20/0.65 % (24087)------------------------------
% 2.20/0.65 % (24087)------------------------------
% 2.20/0.66 % (24198)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)
% 2.20/0.66 % (24215)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.20/0.66 % (24099)Instruction limit reached!
% 2.20/0.66 % (24099)------------------------------
% 2.20/0.66 % (24099)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.66 % (24099)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.66 % (24099)Termination reason: Unknown
% 2.20/0.66 % (24099)Termination phase: Saturation
% 2.20/0.66
% 2.20/0.66 % (24099)Memory used [KB]: 6396
% 2.20/0.66 % (24099)Time elapsed: 0.034 s
% 2.20/0.66 % (24099)Instructions burned: 69 (million)
% 2.20/0.66 % (24099)------------------------------
% 2.20/0.66 % (24099)------------------------------
% 2.20/0.66 % (24088)Instruction limit reached!
% 2.20/0.66 % (24088)------------------------------
% 2.20/0.66 % (24088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67 % (24204)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 (2998ds/211Mi)
% 2.20/0.67 TRYING [6]
% 2.46/0.67 % (24206)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)
% 2.46/0.67 % (24088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.67 % (24088)Termination reason: Unknown
% 2.46/0.67 % (24088)Termination phase: Saturation
% 2.46/0.67
% 2.46/0.67 % (24088)Memory used [KB]: 6524
% 2.46/0.67 % (24088)Time elapsed: 0.274 s
% 2.46/0.67 % (24088)Instructions burned: 100 (million)
% 2.46/0.67 % (24088)------------------------------
% 2.46/0.67 % (24088)------------------------------
% 2.46/0.67 % (24101)First to succeed.
% 2.46/0.69 % (24083)Instruction limit reached!
% 2.46/0.69 % (24083)------------------------------
% 2.46/0.69 % (24083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.69 % (24083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.69 % (24083)Termination reason: Unknown
% 2.46/0.69 % (24083)Termination phase: Saturation
% 2.46/0.69
% 2.46/0.69 % (24083)Memory used [KB]: 7291
% 2.46/0.69 % (24083)Time elapsed: 0.273 s
% 2.46/0.69 % (24083)Instructions burned: 101 (million)
% 2.46/0.69 % (24083)------------------------------
% 2.46/0.69 % (24083)------------------------------
% 2.46/0.70 % (24216)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.46/0.70 % (24093)Also succeeded, but the first one will report.
% 2.46/0.70 % (24101)Refutation found. Thanks to Tanya!
% 2.46/0.70 % SZS status Unsatisfiable for theBenchmark
% 2.46/0.70 % SZS output start Proof for theBenchmark
% See solution above
% 2.46/0.71 % (24101)------------------------------
% 2.46/0.71 % (24101)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.71 % (24101)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.71 % (24101)Termination reason: Refutation
% 2.46/0.71
% 2.46/0.71 % (24101)Memory used [KB]: 6908
% 2.46/0.71 % (24101)Time elapsed: 0.070 s
% 2.46/0.71 % (24101)Instructions burned: 91 (million)
% 2.46/0.71 % (24101)------------------------------
% 2.46/0.71 % (24101)------------------------------
% 2.59/0.77 % (24067)Success in time 0.356 s
%------------------------------------------------------------------------------