TSTP Solution File: ALG161+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG161+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 : n012.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 15:43:14 EDT 2022
% Result : Unsatisfiable 2.68s 0.73s
% Output : Refutation 2.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 153
% Syntax : Number of formulae : 1025 ( 16 unt; 0 def)
% Number of atoms : 3367 (1405 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 4067 (1725 ~;1917 |; 319 &)
% ( 106 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 126 ( 124 usr; 125 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3358,plain,
$false,
inference(avatar_sat_refutation,[],[f313,f326,f335,f348,f374,f391,f404,f413,f422,f423,f436,f441,f454,f463,f489,f498,f521,f530,f543,f548,f557,f562,f563,f568,f577,f619,f624,f634,f639,f648,f653,f666,f671,f676,f677,f682,f684,f689,f694,f695,f696,f705,f706,f707,f712,f713,f720,f721,f722,f723,f724,f725,f726,f732,f733,f734,f735,f736,f738,f739,f740,f745,f746,f747,f748,f753,f762,f763,f764,f765,f766,f767,f772,f773,f774,f775,f776,f777,f778,f779,f780,f794,f795,f800,f801,f802,f803,f808,f809,f810,f812,f813,f814,f819,f820,f821,f822,f823,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f870,f876,f883,f891,f894,f904,f907,f923,f935,f938,f954,f957,f965,f968,f991,f999,f1002,f1011,f1015,f1019,f1034,f1043,f1051,f1063,f1070,f1080,f1083,f1089,f1099,f1107,f1119,f1129,f1132,f1135,f1144,f1154,f1157,f1170,f1173,f1176,f1201,f1204,f1208,f1213,f1228,f1243,f1250,f1261,f1281,f1295,f1298,f1305,f1318,f1321,f1325,f1335,f1339,f1346,f1372,f1381,f1396,f1399,f1404,f1408,f1418,f1422,f1447,f1465,f1469,f1487,f1492,f1516,f1531,f1546,f1559,f1561,f1563,f1568,f1578,f1595,f1618,f1621,f1630,f1636,f1655,f1661,f1664,f1680,f1684,f1687,f1732,f1772,f1800,f1811,f1829,f1837,f1846,f1851,f1878,f1886,f1891,f1894,f1919,f1927,f1931,f1940,f1984,f2061,f2115,f2116,f2120,f2146,f2148,f2160,f2247,f2281,f2286,f2308,f2311,f2317,f2318,f2364,f2369,f2371,f2465,f2488,f2551,f2558,f2564,f2572,f2616,f2701,f2704,f2717,f2727,f2730,f2824,f2831,f2832,f2849,f2852,f2881,f2883,f2909,f2911,f2913,f2920,f3014,f3017,f3145,f3148,f3150,f3154,f3166,f3168,f3227,f3357]) ).
fof(f3357,plain,
( ~ spl18_58
| ~ spl18_93
| spl18_103 ),
inference(avatar_contradiction_clause,[],[f3356]) ).
fof(f3356,plain,
( $false
| ~ spl18_58
| ~ spl18_93
| spl18_103 ),
inference(subsumption_resolution,[],[f3352,f731]) ).
fof(f731,plain,
( e1 = op(e2,e0)
| ~ spl18_93 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl18_93
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_93])]) ).
fof(f3352,plain,
( e1 != op(e2,e0)
| ~ spl18_58
| spl18_103 ),
inference(superposition,[],[f807,f551]) ).
fof(f551,plain,
( e2 = op(e0,op(e0,e0))
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl18_58
<=> e2 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
fof(f807,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| spl18_103 ),
inference(avatar_component_clause,[],[f805]) ).
fof(f805,plain,
( spl18_103
<=> e1 = op(op(e0,op(e0,e0)),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_103])]) ).
fof(f3227,plain,
( ~ spl18_14
| spl18_23
| ~ spl18_34
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f3226]) ).
fof(f3226,plain,
( $false
| ~ spl18_14
| spl18_23
| ~ spl18_34
| ~ spl18_84 ),
inference(subsumption_resolution,[],[f3225,f356]) ).
fof(f356,plain,
( e2 = op(e3,e0)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f354,plain,
( spl18_14
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_14])]) ).
fof(f3225,plain,
( e2 != op(e3,e0)
| spl18_23
| ~ spl18_34
| ~ spl18_84 ),
inference(forward_demodulation,[],[f3223,f670]) ).
fof(f670,plain,
( e3 = op(e0,e1)
| ~ spl18_84 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f668,plain,
( spl18_84
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_84])]) ).
fof(f3223,plain,
( e2 != op(op(e0,e1),e0)
| spl18_23
| ~ spl18_34 ),
inference(superposition,[],[f395,f445]) ).
fof(f445,plain,
( op(e0,e0) = e1
| ~ spl18_34 ),
inference(avatar_component_clause,[],[f443]) ).
fof(f443,plain,
( spl18_34
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).
fof(f395,plain,
( e2 != op(op(e0,op(e0,e0)),e0)
| spl18_23 ),
inference(avatar_component_clause,[],[f393]) ).
fof(f393,plain,
( spl18_23
<=> e2 = op(op(e0,op(e0,e0)),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f3168,plain,
( ~ spl18_79
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f3057,f410,f645]) ).
fof(f645,plain,
( spl18_79
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).
fof(f410,plain,
( spl18_27
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f3057,plain,
( e2 != op(e1,e0)
| ~ spl18_27 ),
inference(superposition,[],[f126,f412]) ).
fof(f412,plain,
( e2 = op(e1,e1)
| ~ spl18_27 ),
inference(avatar_component_clause,[],[f410]) ).
fof(f126,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e0,e0) != op(e0,e2)
& op(e2,e0) != op(e3,e0)
& op(e3,e1) != op(e3,e2)
& op(e1,e0) != op(e1,e3)
& op(e3,e0) != op(e3,e3)
& op(e1,e2) != op(e1,e3)
& op(e0,e0) != op(e0,e1)
& op(e0,e3) != op(e3,e3)
& op(e2,e2) != op(e3,e2)
& op(e0,e0) != op(e2,e0)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e2) != op(e2,e2)
& op(e0,e0) != op(e3,e0)
& op(e2,e0) != op(e2,e3)
& op(e2,e3) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e1,e2) != op(e2,e2)
& op(e1,e1) != op(e1,e3)
& op(e1,e0) != op(e2,e0)
& op(e1,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e2)
& op(e0,e1) != op(e0,e3)
& op(e1,e0) != op(e1,e2)
& op(e0,e0) != op(e1,e0)
& op(e2,e0) != op(e2,e1)
& op(e2,e2) != op(e2,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e1) != op(e0,e2)
& op(e1,e1) != op(e1,e2)
& op(e0,e2) != op(e0,e3)
& op(e2,e0) != op(e2,e2)
& op(e0,e1) != op(e1,e1)
& op(e0,e1) != op(e2,e1)
& op(e1,e0) != op(e3,e0)
& op(e1,e1) != op(e2,e1)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e1,e3)
& op(e0,e2) != op(e3,e2)
& op(e0,e1) != op(e3,e1)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e3) != op(e3,e3)
& op(e3,e0) != op(e3,e1)
& op(e0,e3) != op(e2,e3)
& op(e1,e1) != op(e3,e1)
& op(e3,e2) != op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f3166,plain,
( ~ spl18_4
| ~ spl18_22
| ~ spl18_32
| spl18_101 ),
inference(avatar_contradiction_clause,[],[f3165]) ).
fof(f3165,plain,
( $false
| ~ spl18_4
| ~ spl18_22
| ~ spl18_32
| spl18_101 ),
inference(subsumption_resolution,[],[f3164,f435]) ).
fof(f435,plain,
( e1 = op(e0,e3)
| ~ spl18_32 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl18_32
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
fof(f3164,plain,
( e1 != op(e0,e3)
| ~ spl18_4
| ~ spl18_22
| spl18_101 ),
inference(forward_demodulation,[],[f3163,f312]) ).
fof(f312,plain,
( e0 = op(e3,e2)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f310,plain,
( spl18_4
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_4])]) ).
fof(f3163,plain,
( e1 != op(op(e3,e2),e3)
| ~ spl18_22
| spl18_101 ),
inference(forward_demodulation,[],[f793,f390]) ).
fof(f390,plain,
( e2 = op(e3,e3)
| ~ spl18_22 ),
inference(avatar_component_clause,[],[f388]) ).
fof(f388,plain,
( spl18_22
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_22])]) ).
fof(f793,plain,
( e1 != op(op(e3,op(e3,e3)),e3)
| spl18_101 ),
inference(avatar_component_clause,[],[f791]) ).
fof(f791,plain,
( spl18_101
<=> e1 = op(op(e3,op(e3,e3)),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).
fof(f3154,plain,
( ~ spl18_75
| ~ spl18_27
| spl18_96 ),
inference(avatar_split_clause,[],[f3153,f755,f410,f626]) ).
fof(f626,plain,
( spl18_75
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).
fof(f755,plain,
( spl18_96
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_96])]) ).
fof(f3153,plain,
( e0 != op(e1,e2)
| ~ spl18_27
| spl18_96 ),
inference(forward_demodulation,[],[f757,f412]) ).
fof(f757,plain,
( e0 != op(e1,op(e1,e1))
| spl18_96 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f3150,plain,
( ~ spl18_3
| ~ spl18_22
| spl18_28 ),
inference(avatar_split_clause,[],[f3149,f415,f388,f306]) ).
fof(f306,plain,
( spl18_3
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_3])]) ).
fof(f415,plain,
( spl18_28
<=> e1 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f3149,plain,
( e1 != op(e3,e2)
| ~ spl18_22
| spl18_28 ),
inference(forward_demodulation,[],[f417,f390]) ).
fof(f417,plain,
( e1 != op(e3,op(e3,e3))
| spl18_28 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f3148,plain,
( ~ spl18_27
| ~ spl18_75
| ~ spl18_84
| spl18_97 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3147,plain,
( $false
| ~ spl18_27
| ~ spl18_75
| ~ spl18_84
| spl18_97 ),
inference(subsumption_resolution,[],[f3146,f670]) ).
fof(f3146,plain,
( e3 != op(e0,e1)
| ~ spl18_27
| ~ spl18_75
| spl18_97 ),
inference(forward_demodulation,[],[f3142,f628]) ).
fof(f628,plain,
( e0 = op(e1,e2)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f3142,plain,
( e3 != op(op(e1,e2),e1)
| ~ spl18_27
| spl18_97 ),
inference(superposition,[],[f761,f412]) ).
fof(f761,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| spl18_97 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f759,plain,
( spl18_97
<=> e3 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_97])]) ).
fof(f3145,plain,
( ~ spl18_84
| ~ spl18_96
| spl18_97 ),
inference(avatar_contradiction_clause,[],[f3144]) ).
fof(f3144,plain,
( $false
| ~ spl18_84
| ~ spl18_96
| spl18_97 ),
inference(subsumption_resolution,[],[f3143,f670]) ).
fof(f3143,plain,
( e3 != op(e0,e1)
| ~ spl18_96
| spl18_97 ),
inference(superposition,[],[f761,f756]) ).
fof(f756,plain,
( e0 = op(e1,op(e1,e1))
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f3017,plain,
( spl18_54
| ~ spl18_79
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| spl18_54
| ~ spl18_79
| ~ spl18_87 ),
inference(subsumption_resolution,[],[f3015,f647]) ).
fof(f647,plain,
( e2 = op(e1,e0)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f3015,plain,
( e2 != op(e1,e0)
| spl18_54
| ~ spl18_87 ),
inference(forward_demodulation,[],[f534,f688]) ).
fof(f688,plain,
( e0 = op(e1,e1)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl18_87
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_87])]) ).
fof(f534,plain,
( e2 != op(e1,op(e1,e1))
| spl18_54 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f532,plain,
( spl18_54
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
fof(f3014,plain,
( ~ spl18_63
| ~ spl18_79
| ~ spl18_87
| spl18_97 ),
inference(avatar_contradiction_clause,[],[f3013]) ).
fof(f3013,plain,
( $false
| ~ spl18_63
| ~ spl18_79
| ~ spl18_87
| spl18_97 ),
inference(subsumption_resolution,[],[f3012,f576]) ).
fof(f576,plain,
( e3 = op(e2,e1)
| ~ spl18_63 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f574,plain,
( spl18_63
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_63])]) ).
fof(f3012,plain,
( e3 != op(e2,e1)
| ~ spl18_79
| ~ spl18_87
| spl18_97 ),
inference(forward_demodulation,[],[f3011,f647]) ).
fof(f3011,plain,
( e3 != op(op(e1,e0),e1)
| ~ spl18_87
| spl18_97 ),
inference(superposition,[],[f761,f688]) ).
fof(f2920,plain,
( ~ spl18_79
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f2919]) ).
fof(f2919,plain,
( $false
| ~ spl18_79
| ~ spl18_99 ),
inference(subsumption_resolution,[],[f2918,f257]) ).
fof(f257,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e1
& e2 != e3
& e0 != e2
& e1 != e3
& e1 != e2
& e0 != e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f2918,plain,
( e0 = e2
| ~ spl18_79
| ~ spl18_99 ),
inference(forward_demodulation,[],[f647,f784]) ).
fof(f784,plain,
( e0 = op(e1,e0)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f782]) ).
fof(f782,plain,
( spl18_99
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_99])]) ).
fof(f2913,plain,
( ~ spl18_89
| ~ spl18_54
| spl18_55 ),
inference(avatar_split_clause,[],[f2884,f536,f532,f698]) ).
fof(f698,plain,
( spl18_89
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_89])]) ).
fof(f536,plain,
( spl18_55
<=> e0 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_55])]) ).
fof(f2884,plain,
( e0 != op(e2,e1)
| ~ spl18_54
| spl18_55 ),
inference(forward_demodulation,[],[f538,f533]) ).
fof(f533,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f538,plain,
( e0 != op(op(e1,op(e1,e1)),e1)
| spl18_55 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f2911,plain,
( ~ spl18_83
| spl18_29
| ~ spl18_88 ),
inference(avatar_split_clause,[],[f2891,f691,f419,f663]) ).
fof(f663,plain,
( spl18_83
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_83])]) ).
fof(f419,plain,
( spl18_29
<=> e2 = op(op(e3,op(e3,e3)),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
fof(f691,plain,
( spl18_88
<=> e0 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_88])]) ).
fof(f2891,plain,
( e2 != op(e0,e3)
| spl18_29
| ~ spl18_88 ),
inference(forward_demodulation,[],[f421,f692]) ).
fof(f692,plain,
( e0 = op(e3,op(e3,e3))
| ~ spl18_88 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f421,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| spl18_29 ),
inference(avatar_component_clause,[],[f419]) ).
fof(f2909,plain,
( ~ spl18_9
| spl18_10
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f2908]) ).
fof(f2908,plain,
( $false
| ~ spl18_9
| spl18_10
| ~ spl18_50 ),
inference(subsumption_resolution,[],[f2904,f515]) ).
fof(f515,plain,
( e0 = op(e2,e3)
| ~ spl18_50 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl18_50
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_50])]) ).
fof(f2904,plain,
( e0 != op(e2,e3)
| ~ spl18_9
| spl18_10 ),
inference(superposition,[],[f339,f334]) ).
fof(f334,plain,
( e3 = op(e2,e2)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f332,plain,
( spl18_9
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_9])]) ).
fof(f339,plain,
( e0 != op(e2,op(e2,e2))
| spl18_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl18_10
<=> e0 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_10])]) ).
fof(f2883,plain,
( ~ spl18_31
| ~ spl18_9
| spl18_45 ),
inference(avatar_split_clause,[],[f2882,f491,f332,f429]) ).
fof(f429,plain,
( spl18_31
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
fof(f491,plain,
( spl18_45
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_45])]) ).
fof(f2882,plain,
( e1 != op(e2,e3)
| ~ spl18_9
| spl18_45 ),
inference(forward_demodulation,[],[f493,f334]) ).
fof(f493,plain,
( e1 != op(e2,op(e2,e2))
| spl18_45 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f2881,plain,
( ~ spl18_6
| ~ spl18_35
| spl18_59
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f2880]) ).
fof(f2880,plain,
( $false
| ~ spl18_6
| ~ spl18_35
| spl18_59
| ~ spl18_100 ),
inference(subsumption_resolution,[],[f2879,f788]) ).
fof(f788,plain,
( e3 = op(e1,e0)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f786,plain,
( spl18_100
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_100])]) ).
fof(f2879,plain,
( e3 != op(e1,e0)
| ~ spl18_6
| ~ spl18_35
| spl18_59 ),
inference(forward_demodulation,[],[f2878,f449]) ).
fof(f449,plain,
( e1 = op(e0,e2)
| ~ spl18_35 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f447,plain,
( spl18_35
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).
fof(f2878,plain,
( e3 != op(op(e0,e2),e0)
| ~ spl18_6
| spl18_59 ),
inference(superposition,[],[f556,f320]) ).
fof(f320,plain,
( op(e0,e0) = e2
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f319]) ).
fof(f319,plain,
( spl18_6
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_6])]) ).
fof(f556,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| spl18_59 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl18_59
<=> e3 = op(op(e0,op(e0,e0)),e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f2852,plain,
( ~ spl18_99
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f2851]) ).
fof(f2851,plain,
( $false
| ~ spl18_99
| ~ spl18_100 ),
inference(subsumption_resolution,[],[f2850,f254]) ).
fof(f254,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2850,plain,
( e0 = e3
| ~ spl18_99
| ~ spl18_100 ),
inference(forward_demodulation,[],[f788,f784]) ).
fof(f2849,plain,
( ~ spl18_4
| ~ spl18_22
| spl18_88 ),
inference(avatar_contradiction_clause,[],[f2848]) ).
fof(f2848,plain,
( $false
| ~ spl18_4
| ~ spl18_22
| spl18_88 ),
inference(subsumption_resolution,[],[f2847,f312]) ).
fof(f2847,plain,
( e0 != op(e3,e2)
| ~ spl18_22
| spl18_88 ),
inference(forward_demodulation,[],[f693,f390]) ).
fof(f693,plain,
( e0 != op(e3,op(e3,e3))
| spl18_88 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f2832,plain,
( ~ spl18_37
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f2792,f636,f456]) ).
fof(f456,plain,
( spl18_37
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).
fof(f636,plain,
( spl18_77
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).
fof(f2792,plain,
( e3 != op(e0,e2)
| ~ spl18_77 ),
inference(superposition,[],[f132,f638]) ).
fof(f638,plain,
( e3 = op(e0,e3)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f132,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2831,plain,
( ~ spl18_34
| spl18_59
| ~ spl18_62
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2830,plain,
( $false
| ~ spl18_34
| spl18_59
| ~ spl18_62
| ~ spl18_82 ),
inference(subsumption_resolution,[],[f2829,f572]) ).
fof(f572,plain,
( e3 = op(e2,e0)
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f570,plain,
( spl18_62
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f2829,plain,
( e3 != op(e2,e0)
| ~ spl18_34
| spl18_59
| ~ spl18_82 ),
inference(superposition,[],[f2693,f661]) ).
fof(f661,plain,
( e2 = op(e0,e1)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl18_82
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_82])]) ).
fof(f2693,plain,
( e3 != op(op(e0,e1),e0)
| ~ spl18_34
| spl18_59 ),
inference(superposition,[],[f556,f445]) ).
fof(f2824,plain,
( ~ spl18_39
| spl18_54
| ~ spl18_56 ),
inference(avatar_contradiction_clause,[],[f2823]) ).
fof(f2823,plain,
( $false
| ~ spl18_39
| spl18_54
| ~ spl18_56 ),
inference(subsumption_resolution,[],[f2822,f467]) ).
fof(f467,plain,
( e2 = op(e1,e3)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl18_39
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_39])]) ).
fof(f2822,plain,
( e2 != op(e1,e3)
| spl18_54
| ~ spl18_56 ),
inference(superposition,[],[f534,f541]) ).
fof(f541,plain,
( e3 = op(e1,e1)
| ~ spl18_56 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f540,plain,
( spl18_56
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f2730,plain,
( ~ spl18_94
| ~ spl18_21
| spl18_52 ),
inference(avatar_split_clause,[],[f2718,f523,f384,f742]) ).
fof(f742,plain,
( spl18_94
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_94])]) ).
fof(f384,plain,
( spl18_21
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_21])]) ).
fof(f523,plain,
( spl18_52
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_52])]) ).
fof(f2718,plain,
( e2 != op(e3,e1)
| ~ spl18_21
| spl18_52 ),
inference(forward_demodulation,[],[f525,f386]) ).
fof(f386,plain,
( e1 = op(e3,e3)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f525,plain,
( e2 != op(e3,op(e3,e3))
| spl18_52 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f2727,plain,
( ~ spl18_92
| ~ spl18_21
| spl18_88 ),
inference(avatar_split_clause,[],[f2726,f691,f384,f717]) ).
fof(f717,plain,
( spl18_92
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_92])]) ).
fof(f2726,plain,
( e0 != op(e3,e1)
| ~ spl18_21
| spl18_88 ),
inference(forward_demodulation,[],[f693,f386]) ).
fof(f2717,plain,
( ~ spl18_21
| ~ spl18_50
| spl18_53
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f2716]) ).
fof(f2716,plain,
( $false
| ~ spl18_21
| ~ spl18_50
| spl18_53
| ~ spl18_94 ),
inference(subsumption_resolution,[],[f2715,f515]) ).
fof(f2715,plain,
( e0 != op(e2,e3)
| ~ spl18_21
| spl18_53
| ~ spl18_94 ),
inference(forward_demodulation,[],[f2714,f744]) ).
fof(f744,plain,
( e2 = op(e3,e1)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f2714,plain,
( e0 != op(op(e3,e1),e3)
| ~ spl18_21
| spl18_53 ),
inference(forward_demodulation,[],[f529,f386]) ).
fof(f529,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| spl18_53 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f527,plain,
( spl18_53
<=> e0 = op(op(e3,op(e3,e3)),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).
fof(f2704,plain,
( ~ spl18_82
| ~ spl18_34
| spl18_58 ),
inference(avatar_split_clause,[],[f2703,f550,f443,f659]) ).
fof(f2703,plain,
( e2 != op(e0,e1)
| ~ spl18_34
| spl18_58 ),
inference(forward_demodulation,[],[f552,f445]) ).
fof(f552,plain,
( e2 != op(e0,op(e0,e0))
| spl18_58 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f2701,plain,
( ~ spl18_14
| ~ spl18_20
| ~ spl18_31
| spl18_101 ),
inference(avatar_contradiction_clause,[],[f2700]) ).
fof(f2700,plain,
( $false
| ~ spl18_14
| ~ spl18_20
| ~ spl18_31
| spl18_101 ),
inference(subsumption_resolution,[],[f2699,f431]) ).
fof(f431,plain,
( e1 = op(e2,e3)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f429]) ).
fof(f2699,plain,
( e1 != op(e2,e3)
| ~ spl18_14
| ~ spl18_20
| spl18_101 ),
inference(forward_demodulation,[],[f2698,f356]) ).
fof(f2698,plain,
( e1 != op(op(e3,e0),e3)
| ~ spl18_20
| spl18_101 ),
inference(superposition,[],[f793,f382]) ).
fof(f382,plain,
( e0 = op(e3,e3)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f380]) ).
fof(f380,plain,
( spl18_20
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_20])]) ).
fof(f2616,plain,
( ~ spl18_14
| ~ spl18_20
| spl18_52 ),
inference(avatar_contradiction_clause,[],[f2615]) ).
fof(f2615,plain,
( $false
| ~ spl18_14
| ~ spl18_20
| spl18_52 ),
inference(subsumption_resolution,[],[f2614,f356]) ).
fof(f2614,plain,
( e2 != op(e3,e0)
| ~ spl18_20
| spl18_52 ),
inference(superposition,[],[f525,f382]) ).
fof(f2572,plain,
( ~ spl18_16
| ~ spl18_20
| spl18_28 ),
inference(avatar_split_clause,[],[f2571,f415,f380,f362]) ).
fof(f362,plain,
( spl18_16
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_16])]) ).
fof(f2571,plain,
( e1 != op(e3,e0)
| ~ spl18_20
| spl18_28 ),
inference(forward_demodulation,[],[f417,f382]) ).
fof(f2564,plain,
( ~ spl18_28
| spl18_29
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f2563]) ).
fof(f2563,plain,
( $false
| ~ spl18_28
| spl18_29
| ~ spl18_39 ),
inference(subsumption_resolution,[],[f2562,f467]) ).
fof(f2562,plain,
( e2 != op(e1,e3)
| ~ spl18_28
| spl18_29 ),
inference(forward_demodulation,[],[f421,f416]) ).
fof(f416,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl18_28 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f2558,plain,
( ~ spl18_93
| ~ spl18_18
| spl18_45 ),
inference(avatar_split_clause,[],[f2557,f491,f371,f729]) ).
fof(f371,plain,
( spl18_18
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_18])]) ).
fof(f2557,plain,
( e1 != op(e2,e0)
| ~ spl18_18
| spl18_45 ),
inference(forward_demodulation,[],[f493,f373]) ).
fof(f373,plain,
( e0 = op(e2,e2)
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f371]) ).
fof(f2551,plain,
( ~ spl18_3
| ~ spl18_22
| ~ spl18_40
| spl18_53 ),
inference(avatar_contradiction_clause,[],[f2550]) ).
fof(f2550,plain,
( $false
| ~ spl18_3
| ~ spl18_22
| ~ spl18_40
| spl18_53 ),
inference(subsumption_resolution,[],[f2549,f471]) ).
fof(f471,plain,
( e0 = op(e1,e3)
| ~ spl18_40 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f469,plain,
( spl18_40
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).
fof(f2549,plain,
( e0 != op(e1,e3)
| ~ spl18_3
| ~ spl18_22
| spl18_53 ),
inference(forward_demodulation,[],[f2548,f308]) ).
fof(f308,plain,
( e1 = op(e3,e2)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f2548,plain,
( e0 != op(op(e3,e2),e3)
| ~ spl18_22
| spl18_53 ),
inference(superposition,[],[f529,f390]) ).
fof(f2488,plain,
( ~ spl18_13
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f2487]) ).
fof(f2487,plain,
( $false
| ~ spl18_13
| ~ spl18_99 ),
inference(subsumption_resolution,[],[f2483,f784]) ).
fof(f2483,plain,
( e0 != op(e1,e0)
| ~ spl18_13 ),
inference(superposition,[],[f128,f352]) ).
fof(f352,plain,
( e0 = op(e3,e0)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f350,plain,
( spl18_13
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_13])]) ).
fof(f128,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2465,plain,
( ~ spl18_27
| ~ spl18_76 ),
inference(avatar_split_clause,[],[f2455,f630,f410]) ).
fof(f630,plain,
( spl18_76
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f2455,plain,
( e2 != op(e1,e1)
| ~ spl18_76 ),
inference(superposition,[],[f133,f632]) ).
fof(f632,plain,
( e2 = op(e1,e2)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f133,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2371,plain,
( spl18_55
| ~ spl18_92
| ~ spl18_106 ),
inference(avatar_contradiction_clause,[],[f2370]) ).
fof(f2370,plain,
( $false
| spl18_55
| ~ spl18_92
| ~ spl18_106 ),
inference(subsumption_resolution,[],[f2333,f719]) ).
fof(f719,plain,
( e0 = op(e3,e1)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f2333,plain,
( e0 != op(e3,e1)
| spl18_55
| ~ spl18_106 ),
inference(forward_demodulation,[],[f538,f846]) ).
fof(f846,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl18_106
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_106])]) ).
fof(f2369,plain,
( ~ spl18_37
| ~ spl18_6
| spl18_57 ),
inference(avatar_split_clause,[],[f2368,f545,f319,f456]) ).
fof(f545,plain,
( spl18_57
<=> e3 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
fof(f2368,plain,
( e3 != op(e0,e2)
| ~ spl18_6
| spl18_57 ),
inference(forward_demodulation,[],[f547,f320]) ).
fof(f547,plain,
( e3 != op(e0,op(e0,e0))
| spl18_57 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f2364,plain,
( ~ spl18_4
| ~ spl18_11
| spl18_46
| ~ spl18_63 ),
inference(avatar_contradiction_clause,[],[f2363]) ).
fof(f2363,plain,
( $false
| ~ spl18_4
| ~ spl18_11
| spl18_46
| ~ spl18_63 ),
inference(subsumption_resolution,[],[f2362,f312]) ).
fof(f2362,plain,
( e0 != op(e3,e2)
| ~ spl18_11
| spl18_46
| ~ spl18_63 ),
inference(forward_demodulation,[],[f2359,f576]) ).
fof(f2359,plain,
( e0 != op(op(e2,e1),e2)
| ~ spl18_11
| spl18_46 ),
inference(superposition,[],[f497,f342]) ).
fof(f342,plain,
( e1 = op(e2,e2)
| ~ spl18_11 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl18_11
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_11])]) ).
fof(f497,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| spl18_46 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl18_46
<=> e0 = op(op(e2,op(e2,e2)),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_46])]) ).
fof(f2318,plain,
( ~ spl18_89
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f2178,f371,f698]) ).
fof(f2178,plain,
( e0 != op(e2,e1)
| ~ spl18_18 ),
inference(superposition,[],[f152,f373]) ).
fof(f152,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2317,plain,
( ~ spl18_62
| ~ spl18_93 ),
inference(avatar_contradiction_clause,[],[f2316]) ).
fof(f2316,plain,
( $false
| ~ spl18_62
| ~ spl18_93 ),
inference(subsumption_resolution,[],[f2315,f256]) ).
fof(f256,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2315,plain,
( e1 = e3
| ~ spl18_62
| ~ spl18_93 ),
inference(forward_demodulation,[],[f572,f731]) ).
fof(f2311,plain,
( ~ spl18_77
| ~ spl18_86 ),
inference(avatar_contradiction_clause,[],[f2310]) ).
fof(f2310,plain,
( $false
| ~ spl18_77
| ~ spl18_86 ),
inference(subsumption_resolution,[],[f2309,f254]) ).
fof(f2309,plain,
( e0 = e3
| ~ spl18_77
| ~ spl18_86 ),
inference(forward_demodulation,[],[f638,f680]) ).
fof(f680,plain,
( e0 = op(e0,e3)
| ~ spl18_86 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl18_86
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_86])]) ).
fof(f2308,plain,
( ~ spl18_6
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f2307]) ).
fof(f2307,plain,
( $false
| ~ spl18_6
| ~ spl18_14 ),
inference(subsumption_resolution,[],[f2303,f320]) ).
fof(f2303,plain,
( op(e0,e0) != e2
| ~ spl18_14 ),
inference(superposition,[],[f149,f356]) ).
fof(f149,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2286,plain,
( ~ spl18_62
| ~ spl18_18
| spl18_60 ),
inference(avatar_split_clause,[],[f2285,f559,f371,f570]) ).
fof(f559,plain,
( spl18_60
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f2285,plain,
( e3 != op(e2,e0)
| ~ spl18_18
| spl18_60 ),
inference(forward_demodulation,[],[f561,f373]) ).
fof(f561,plain,
( e3 != op(e2,op(e2,e2))
| spl18_60 ),
inference(avatar_component_clause,[],[f559]) ).
fof(f2281,plain,
( ~ spl18_27
| ~ spl18_38
| spl18_106 ),
inference(avatar_contradiction_clause,[],[f2280]) ).
fof(f2280,plain,
( $false
| ~ spl18_27
| ~ spl18_38
| spl18_106 ),
inference(subsumption_resolution,[],[f2279,f462]) ).
fof(f462,plain,
( e3 = op(e1,e2)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl18_38
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
fof(f2279,plain,
( e3 != op(e1,e2)
| ~ spl18_27
| spl18_106 ),
inference(superposition,[],[f847,f412]) ).
fof(f847,plain,
( e3 != op(e1,op(e1,e1))
| spl18_106 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f2247,plain,
( ~ spl18_87
| ~ spl18_100
| spl18_106 ),
inference(avatar_contradiction_clause,[],[f2246]) ).
fof(f2246,plain,
( $false
| ~ spl18_87
| ~ spl18_100
| spl18_106 ),
inference(subsumption_resolution,[],[f2245,f788]) ).
fof(f2245,plain,
( e3 != op(e1,e0)
| ~ spl18_87
| spl18_106 ),
inference(superposition,[],[f847,f688]) ).
fof(f2160,plain,
( ~ spl18_87
| ~ spl18_94
| ~ spl18_100
| spl18_105 ),
inference(avatar_contradiction_clause,[],[f2159]) ).
fof(f2159,plain,
( $false
| ~ spl18_87
| ~ spl18_94
| ~ spl18_100
| spl18_105 ),
inference(subsumption_resolution,[],[f2158,f744]) ).
fof(f2158,plain,
( e2 != op(e3,e1)
| ~ spl18_87
| ~ spl18_100
| spl18_105 ),
inference(forward_demodulation,[],[f2157,f788]) ).
fof(f2157,plain,
( e2 != op(op(e1,e0),e1)
| ~ spl18_87
| spl18_105 ),
inference(forward_demodulation,[],[f828,f688]) ).
fof(f828,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| spl18_105 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl18_105
<=> e2 = op(op(e1,op(e1,e1)),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_105])]) ).
fof(f2148,plain,
( ~ spl18_15
| ~ spl18_25 ),
inference(avatar_contradiction_clause,[],[f2147]) ).
fof(f2147,plain,
( $false
| ~ spl18_15
| ~ spl18_25 ),
inference(subsumption_resolution,[],[f2142,f402]) ).
fof(f402,plain,
( op(e0,e0) = e3
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f401]) ).
fof(f401,plain,
( spl18_25
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f2142,plain,
( op(e0,e0) != e3
| ~ spl18_15 ),
inference(superposition,[],[f149,f360]) ).
fof(f360,plain,
( e3 = op(e3,e0)
| ~ spl18_15 ),
inference(avatar_component_clause,[],[f358]) ).
fof(f358,plain,
( spl18_15
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_15])]) ).
fof(f2146,plain,
( ~ spl18_15
| ~ spl18_62 ),
inference(avatar_contradiction_clause,[],[f2145]) ).
fof(f2145,plain,
( $false
| ~ spl18_15
| ~ spl18_62 ),
inference(subsumption_resolution,[],[f2141,f572]) ).
fof(f2141,plain,
( e3 != op(e2,e0)
| ~ spl18_15 ),
inference(superposition,[],[f162,f360]) ).
fof(f162,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2120,plain,
( ~ spl18_93
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f2091,f362,f729]) ).
fof(f2091,plain,
( e1 != op(e2,e0)
| ~ spl18_16 ),
inference(superposition,[],[f162,f364]) ).
fof(f364,plain,
( e1 = op(e3,e0)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f2116,plain,
( ~ spl18_38
| ~ spl18_41 ),
inference(avatar_split_clause,[],[f2086,f473,f460]) ).
fof(f473,plain,
( spl18_41
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).
fof(f2086,plain,
( e3 != op(e1,e2)
| ~ spl18_41 ),
inference(superposition,[],[f158,f475]) ).
fof(f475,plain,
( e3 = op(e1,e3)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f158,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2115,plain,
( ~ spl18_9
| ~ spl18_31
| spl18_46
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f2114]) ).
fof(f2114,plain,
( $false
| ~ spl18_9
| ~ spl18_31
| spl18_46
| ~ spl18_75 ),
inference(subsumption_resolution,[],[f2113,f628]) ).
fof(f2113,plain,
( e0 != op(e1,e2)
| ~ spl18_9
| ~ spl18_31
| spl18_46 ),
inference(forward_demodulation,[],[f2112,f431]) ).
fof(f2112,plain,
( e0 != op(op(e2,e3),e2)
| ~ spl18_9
| spl18_46 ),
inference(superposition,[],[f497,f334]) ).
fof(f2061,plain,
( ~ spl18_99
| ~ spl18_75 ),
inference(avatar_split_clause,[],[f2060,f626,f782]) ).
fof(f2060,plain,
( e0 != op(e1,e0)
| ~ spl18_75 ),
inference(superposition,[],[f139,f628]) ).
fof(f139,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1984,plain,
( ~ spl18_77
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f1983]) ).
fof(f1983,plain,
( $false
| ~ spl18_77
| ~ spl18_83 ),
inference(subsumption_resolution,[],[f1978,f258]) ).
fof(f258,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f1978,plain,
( e2 = e3
| ~ spl18_77
| ~ spl18_83 ),
inference(superposition,[],[f638,f665]) ).
fof(f665,plain,
( e2 = op(e0,e3)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f1940,plain,
( ~ spl18_6
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f1939]) ).
fof(f1939,plain,
( $false
| ~ spl18_6
| ~ spl18_34 ),
inference(subsumption_resolution,[],[f1938,f255]) ).
fof(f255,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f1938,plain,
( e1 = e2
| ~ spl18_6
| ~ spl18_34 ),
inference(forward_demodulation,[],[f320,f445]) ).
fof(f1931,plain,
( ~ spl18_84
| ~ spl18_34
| spl18_57 ),
inference(avatar_split_clause,[],[f1930,f545,f443,f668]) ).
fof(f1930,plain,
( e3 != op(e0,e1)
| ~ spl18_34
| spl18_57 ),
inference(forward_demodulation,[],[f547,f445]) ).
fof(f1927,plain,
( ~ spl18_5
| ~ spl18_35 ),
inference(avatar_contradiction_clause,[],[f1926]) ).
fof(f1926,plain,
( $false
| ~ spl18_5
| ~ spl18_35 ),
inference(subsumption_resolution,[],[f1923,f259]) ).
fof(f259,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f1923,plain,
( e0 = e1
| ~ spl18_5
| ~ spl18_35 ),
inference(superposition,[],[f317,f449]) ).
fof(f317,plain,
( e0 = op(e0,e2)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f315,plain,
( spl18_5
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_5])]) ).
fof(f1919,plain,
( ~ spl18_32
| spl18_24
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f1918,f401,f397,f433]) ).
fof(f397,plain,
( spl18_24
<=> e1 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f1918,plain,
( e1 != op(e0,e3)
| spl18_24
| ~ spl18_25 ),
inference(forward_demodulation,[],[f399,f402]) ).
fof(f399,plain,
( e1 != op(e0,op(e0,e0))
| spl18_24 ),
inference(avatar_component_clause,[],[f397]) ).
fof(f1894,plain,
( ~ spl18_75
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
fof(f1893,plain,
( $false
| ~ spl18_75
| ~ spl18_76 ),
inference(subsumption_resolution,[],[f1892,f257]) ).
fof(f1892,plain,
( e0 = e2
| ~ spl18_75
| ~ spl18_76 ),
inference(forward_demodulation,[],[f632,f628]) ).
fof(f1891,plain,
( ~ spl18_90
| ~ spl18_93 ),
inference(avatar_contradiction_clause,[],[f1890]) ).
fof(f1890,plain,
( $false
| ~ spl18_90
| ~ spl18_93 ),
inference(subsumption_resolution,[],[f1889,f259]) ).
fof(f1889,plain,
( e0 = e1
| ~ spl18_90
| ~ spl18_93 ),
inference(forward_demodulation,[],[f731,f704]) ).
fof(f704,plain,
( e0 = op(e2,e0)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f702,plain,
( spl18_90
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_90])]) ).
fof(f1886,plain,
( ~ spl18_82
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f1885]) ).
fof(f1885,plain,
( $false
| ~ spl18_82
| ~ spl18_84 ),
inference(subsumption_resolution,[],[f1884,f258]) ).
fof(f1884,plain,
( e2 = e3
| ~ spl18_82
| ~ spl18_84 ),
inference(forward_demodulation,[],[f670,f661]) ).
fof(f1878,plain,
( ~ spl18_25
| ~ spl18_34 ),
inference(avatar_contradiction_clause,[],[f1877]) ).
fof(f1877,plain,
( $false
| ~ spl18_25
| ~ spl18_34 ),
inference(subsumption_resolution,[],[f1874,f256]) ).
fof(f1874,plain,
( e1 = e3
| ~ spl18_25
| ~ spl18_34 ),
inference(superposition,[],[f402,f445]) ).
fof(f1851,plain,
( ~ spl18_63
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f1850]) ).
fof(f1850,plain,
( $false
| ~ spl18_63
| ~ spl18_104 ),
inference(subsumption_resolution,[],[f1849,f256]) ).
fof(f1849,plain,
( e1 = e3
| ~ spl18_63
| ~ spl18_104 ),
inference(forward_demodulation,[],[f576,f818]) ).
fof(f818,plain,
( e1 = op(e2,e1)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f816,plain,
( spl18_104
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_104])]) ).
fof(f1846,plain,
( ~ spl18_83
| ~ spl18_25
| spl18_58 ),
inference(avatar_split_clause,[],[f1777,f550,f401,f663]) ).
fof(f1777,plain,
( e2 != op(e0,e3)
| ~ spl18_25
| spl18_58 ),
inference(forward_demodulation,[],[f552,f402]) ).
fof(f1837,plain,
( ~ spl18_43
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| ~ spl18_43
| ~ spl18_82 ),
inference(subsumption_resolution,[],[f1835,f257]) ).
fof(f1835,plain,
( e0 = e2
| ~ spl18_43
| ~ spl18_82 ),
inference(forward_demodulation,[],[f661,f483]) ).
fof(f483,plain,
( e0 = op(e0,e1)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f482]) ).
fof(f482,plain,
( spl18_43
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_43])]) ).
fof(f1829,plain,
( ~ spl18_27
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f1828]) ).
fof(f1828,plain,
( $false
| ~ spl18_27
| ~ spl18_87 ),
inference(subsumption_resolution,[],[f1825,f257]) ).
fof(f1825,plain,
( e0 = e2
| ~ spl18_27
| ~ spl18_87 ),
inference(superposition,[],[f412,f688]) ).
fof(f1811,plain,
( ~ spl18_39
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f1810]) ).
fof(f1810,plain,
( $false
| ~ spl18_39
| ~ spl18_40 ),
inference(subsumption_resolution,[],[f1806,f257]) ).
fof(f1806,plain,
( e0 = e2
| ~ spl18_39
| ~ spl18_40 ),
inference(superposition,[],[f467,f471]) ).
fof(f1800,plain,
( ~ spl18_6
| ~ spl18_25 ),
inference(avatar_contradiction_clause,[],[f1799]) ).
fof(f1799,plain,
( $false
| ~ spl18_6
| ~ spl18_25 ),
inference(subsumption_resolution,[],[f1796,f258]) ).
fof(f1796,plain,
( e2 = e3
| ~ spl18_6
| ~ spl18_25 ),
inference(superposition,[],[f320,f402]) ).
fof(f1772,plain,
( ~ spl18_37
| ~ spl18_81 ),
inference(avatar_contradiction_clause,[],[f1771]) ).
fof(f1771,plain,
( $false
| ~ spl18_37
| ~ spl18_81 ),
inference(subsumption_resolution,[],[f1765,f258]) ).
fof(f1765,plain,
( e2 = e3
| ~ spl18_37
| ~ spl18_81 ),
inference(superposition,[],[f657,f458]) ).
fof(f458,plain,
( e3 = op(e0,e2)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f456]) ).
fof(f657,plain,
( e2 = op(e0,e2)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl18_81
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_81])]) ).
fof(f1732,plain,
( ~ spl18_27
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl18_27
| ~ spl18_80 ),
inference(subsumption_resolution,[],[f1728,f255]) ).
fof(f1728,plain,
( e1 = e2
| ~ spl18_27
| ~ spl18_80 ),
inference(superposition,[],[f412,f651]) ).
fof(f651,plain,
( e1 = op(e1,e1)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f650,plain,
( spl18_80
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_80])]) ).
fof(f1687,plain,
( ~ spl18_20
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f1686]) ).
fof(f1686,plain,
( $false
| ~ spl18_20
| ~ spl18_22 ),
inference(subsumption_resolution,[],[f1685,f257]) ).
fof(f1685,plain,
( e0 = e2
| ~ spl18_20
| ~ spl18_22 ),
inference(forward_demodulation,[],[f390,f382]) ).
fof(f1684,plain,
( ~ spl18_80
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f1683]) ).
fof(f1683,plain,
( $false
| ~ spl18_80
| ~ spl18_87 ),
inference(subsumption_resolution,[],[f1682,f259]) ).
fof(f1682,plain,
( e0 = e1
| ~ spl18_80
| ~ spl18_87 ),
inference(forward_demodulation,[],[f651,f688]) ).
fof(f1680,plain,
( ~ spl18_11
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f1679]) ).
fof(f1679,plain,
( $false
| ~ spl18_11
| ~ spl18_18 ),
inference(subsumption_resolution,[],[f1675,f259]) ).
fof(f1675,plain,
( e0 = e1
| ~ spl18_11
| ~ spl18_18 ),
inference(superposition,[],[f373,f342]) ).
fof(f1664,plain,
( ~ spl18_94
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f1663]) ).
fof(f1663,plain,
( $false
| ~ spl18_94
| ~ spl18_95 ),
inference(subsumption_resolution,[],[f1662,f255]) ).
fof(f1662,plain,
( e1 = e2
| ~ spl18_94
| ~ spl18_95 ),
inference(forward_demodulation,[],[f744,f752]) ).
fof(f752,plain,
( e1 = op(e3,e1)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f750,plain,
( spl18_95
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_95])]) ).
fof(f1661,plain,
( ~ spl18_83
| ~ spl18_86 ),
inference(avatar_contradiction_clause,[],[f1660]) ).
fof(f1660,plain,
( $false
| ~ spl18_83
| ~ spl18_86 ),
inference(subsumption_resolution,[],[f1659,f257]) ).
fof(f1659,plain,
( e0 = e2
| ~ spl18_83
| ~ spl18_86 ),
inference(forward_demodulation,[],[f665,f680]) ).
fof(f1655,plain,
( ~ spl18_36
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f1654]) ).
fof(f1654,plain,
( $false
| ~ spl18_36
| ~ spl18_82 ),
inference(subsumption_resolution,[],[f1653,f255]) ).
fof(f1653,plain,
( e1 = e2
| ~ spl18_36
| ~ spl18_82 ),
inference(forward_demodulation,[],[f661,f453]) ).
fof(f453,plain,
( e1 = op(e0,e1)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl18_36
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
fof(f1636,plain,
( ~ spl18_62
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f1635]) ).
fof(f1635,plain,
( $false
| ~ spl18_62
| ~ spl18_90 ),
inference(subsumption_resolution,[],[f1634,f254]) ).
fof(f1634,plain,
( e0 = e3
| ~ spl18_62
| ~ spl18_90 ),
inference(forward_demodulation,[],[f572,f704]) ).
fof(f1630,plain,
( ~ spl18_38
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f1629]) ).
fof(f1629,plain,
( $false
| ~ spl18_38
| ~ spl18_75 ),
inference(subsumption_resolution,[],[f1628,f254]) ).
fof(f1628,plain,
( e0 = e3
| ~ spl18_38
| ~ spl18_75 ),
inference(forward_demodulation,[],[f462,f628]) ).
fof(f1621,plain,
( ~ spl18_9
| ~ spl18_11 ),
inference(avatar_contradiction_clause,[],[f1620]) ).
fof(f1620,plain,
( $false
| ~ spl18_9
| ~ spl18_11 ),
inference(subsumption_resolution,[],[f1619,f256]) ).
fof(f1619,plain,
( e1 = e3
| ~ spl18_9
| ~ spl18_11 ),
inference(forward_demodulation,[],[f334,f342]) ).
fof(f1618,plain,
( ~ spl18_32
| ~ spl18_86 ),
inference(avatar_contradiction_clause,[],[f1617]) ).
fof(f1617,plain,
( $false
| ~ spl18_32
| ~ spl18_86 ),
inference(subsumption_resolution,[],[f1616,f259]) ).
fof(f1616,plain,
( e0 = e1
| ~ spl18_32
| ~ spl18_86 ),
inference(forward_demodulation,[],[f435,f680]) ).
fof(f1595,plain,
( ~ spl18_63
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f1594]) ).
fof(f1594,plain,
( $false
| ~ spl18_63
| ~ spl18_98 ),
inference(subsumption_resolution,[],[f1593,f258]) ).
fof(f1593,plain,
( e2 = e3
| ~ spl18_63
| ~ spl18_98 ),
inference(forward_demodulation,[],[f576,f771]) ).
fof(f771,plain,
( e2 = op(e2,e1)
| ~ spl18_98 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl18_98
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_98])]) ).
fof(f1578,plain,
( ~ spl18_11
| ~ spl18_85 ),
inference(avatar_contradiction_clause,[],[f1577]) ).
fof(f1577,plain,
( $false
| ~ spl18_11
| ~ spl18_85 ),
inference(subsumption_resolution,[],[f1576,f255]) ).
fof(f1576,plain,
( e1 = e2
| ~ spl18_11
| ~ spl18_85 ),
inference(forward_demodulation,[],[f675,f342]) ).
fof(f675,plain,
( e2 = op(e2,e2)
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f673]) ).
fof(f673,plain,
( spl18_85
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_85])]) ).
fof(f1568,plain,
( ~ spl18_21
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| ~ spl18_21
| ~ spl18_22 ),
inference(subsumption_resolution,[],[f1566,f255]) ).
fof(f1566,plain,
( e1 = e2
| ~ spl18_21
| ~ spl18_22 ),
inference(forward_demodulation,[],[f390,f386]) ).
fof(f1563,plain,
( ~ spl18_37
| ~ spl18_10
| spl18_12 ),
inference(avatar_split_clause,[],[f1562,f345,f337,f456]) ).
fof(f345,plain,
( spl18_12
<=> e3 = op(op(e2,op(e2,e2)),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f1562,plain,
( e3 != op(e0,e2)
| ~ spl18_10
| spl18_12 ),
inference(forward_demodulation,[],[f347,f338]) ).
fof(f338,plain,
( e0 = op(e2,op(e2,e2))
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f347,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| spl18_12 ),
inference(avatar_component_clause,[],[f345]) ).
fof(f1561,plain,
( ~ spl18_35
| ~ spl18_10
| spl18_102 ),
inference(avatar_split_clause,[],[f1560,f797,f337,f447]) ).
fof(f797,plain,
( spl18_102
<=> e1 = op(op(e2,op(e2,e2)),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_102])]) ).
fof(f1560,plain,
( e1 != op(e0,e2)
| ~ spl18_10
| spl18_102 ),
inference(forward_demodulation,[],[f799,f338]) ).
fof(f799,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| spl18_102 ),
inference(avatar_component_clause,[],[f797]) ).
fof(f1559,plain,
( ~ spl18_31
| ~ spl18_48 ),
inference(avatar_contradiction_clause,[],[f1558]) ).
fof(f1558,plain,
( $false
| ~ spl18_31
| ~ spl18_48 ),
inference(subsumption_resolution,[],[f1552,f256]) ).
fof(f1552,plain,
( e1 = e3
| ~ spl18_31
| ~ spl18_48 ),
inference(superposition,[],[f431,f507]) ).
fof(f507,plain,
( e3 = op(e2,e3)
| ~ spl18_48 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl18_48
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).
fof(f1546,plain,
( ~ spl18_89
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f1545]) ).
fof(f1545,plain,
( $false
| ~ spl18_89
| ~ spl18_104 ),
inference(subsumption_resolution,[],[f1542,f259]) ).
fof(f1542,plain,
( e0 = e1
| ~ spl18_89
| ~ spl18_104 ),
inference(superposition,[],[f700,f818]) ).
fof(f700,plain,
( e0 = op(e2,e1)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f1531,plain,
( ~ spl18_63
| ~ spl18_89 ),
inference(avatar_contradiction_clause,[],[f1530]) ).
fof(f1530,plain,
( $false
| ~ spl18_63
| ~ spl18_89 ),
inference(subsumption_resolution,[],[f1526,f254]) ).
fof(f1526,plain,
( e0 = e3
| ~ spl18_63
| ~ spl18_89 ),
inference(superposition,[],[f700,f576]) ).
fof(f1516,plain,
( ~ spl18_35
| ~ spl18_81 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| ~ spl18_35
| ~ spl18_81 ),
inference(subsumption_resolution,[],[f1511,f255]) ).
fof(f1511,plain,
( e1 = e2
| ~ spl18_35
| ~ spl18_81 ),
inference(superposition,[],[f449,f657]) ).
fof(f1492,plain,
( ~ spl18_9
| ~ spl18_85 ),
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl18_9
| ~ spl18_85 ),
inference(subsumption_resolution,[],[f1490,f258]) ).
fof(f1490,plain,
( e2 = e3
| ~ spl18_9
| ~ spl18_85 ),
inference(forward_demodulation,[],[f334,f675]) ).
fof(f1487,plain,
( ~ spl18_56
| ~ spl18_80 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
fof(f1486,plain,
( $false
| ~ spl18_56
| ~ spl18_80 ),
inference(subsumption_resolution,[],[f1482,f256]) ).
fof(f1482,plain,
( e1 = e3
| ~ spl18_56
| ~ spl18_80 ),
inference(superposition,[],[f651,f541]) ).
fof(f1469,plain,
( spl18_12
| ~ spl18_38
| ~ spl18_45 ),
inference(avatar_contradiction_clause,[],[f1468]) ).
fof(f1468,plain,
( $false
| spl18_12
| ~ spl18_38
| ~ spl18_45 ),
inference(subsumption_resolution,[],[f1467,f462]) ).
fof(f1467,plain,
( e3 != op(e1,e2)
| spl18_12
| ~ spl18_45 ),
inference(forward_demodulation,[],[f347,f492]) ).
fof(f492,plain,
( e1 = op(e2,op(e2,e2))
| ~ spl18_45 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f1465,plain,
( ~ spl18_48
| ~ spl18_49 ),
inference(avatar_contradiction_clause,[],[f1464]) ).
fof(f1464,plain,
( $false
| ~ spl18_48
| ~ spl18_49 ),
inference(subsumption_resolution,[],[f1459,f258]) ).
fof(f1459,plain,
( e2 = e3
| ~ spl18_48
| ~ spl18_49 ),
inference(superposition,[],[f511,f507]) ).
fof(f511,plain,
( e2 = op(e2,e3)
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl18_49
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_49])]) ).
fof(f1447,plain,
( ~ spl18_27
| ~ spl18_56 ),
inference(avatar_contradiction_clause,[],[f1446]) ).
fof(f1446,plain,
( $false
| ~ spl18_27
| ~ spl18_56 ),
inference(subsumption_resolution,[],[f1443,f258]) ).
fof(f1443,plain,
( e2 = e3
| ~ spl18_27
| ~ spl18_56 ),
inference(superposition,[],[f541,f412]) ).
fof(f1422,plain,
( ~ spl18_14
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f1421]) ).
fof(f1421,plain,
( $false
| ~ spl18_14
| ~ spl18_16 ),
inference(subsumption_resolution,[],[f1420,f255]) ).
fof(f1420,plain,
( e1 = e2
| ~ spl18_14
| ~ spl18_16 ),
inference(forward_demodulation,[],[f356,f364]) ).
fof(f1418,plain,
( ~ spl18_38
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f1417]) ).
fof(f1417,plain,
( $false
| ~ spl18_38
| ~ spl18_76 ),
inference(subsumption_resolution,[],[f1416,f258]) ).
fof(f1416,plain,
( e2 = e3
| ~ spl18_38
| ~ spl18_76 ),
inference(forward_demodulation,[],[f462,f632]) ).
fof(f1408,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f1407]) ).
fof(f1407,plain,
( $false
| ~ spl18_13
| ~ spl18_14 ),
inference(subsumption_resolution,[],[f1406,f257]) ).
fof(f1406,plain,
( e0 = e2
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_demodulation,[],[f356,f352]) ).
fof(f1404,plain,
( ~ spl18_34
| ~ spl18_51 ),
inference(avatar_contradiction_clause,[],[f1403]) ).
fof(f1403,plain,
( $false
| ~ spl18_34
| ~ spl18_51 ),
inference(subsumption_resolution,[],[f1402,f259]) ).
fof(f1402,plain,
( e0 = e1
| ~ spl18_34
| ~ spl18_51 ),
inference(forward_demodulation,[],[f445,f520]) ).
fof(f520,plain,
( e0 = op(e0,e0)
| ~ spl18_51 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f518,plain,
( spl18_51
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_51])]) ).
fof(f1399,plain,
( ~ spl18_25
| ~ spl18_51 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl18_25
| ~ spl18_51 ),
inference(subsumption_resolution,[],[f1397,f254]) ).
fof(f1397,plain,
( e0 = e3
| ~ spl18_25
| ~ spl18_51 ),
inference(forward_demodulation,[],[f402,f520]) ).
fof(f1396,plain,
( ~ spl18_2
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f1395]) ).
fof(f1395,plain,
( $false
| ~ spl18_2
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1394,f255]) ).
fof(f1394,plain,
( e1 = e2
| ~ spl18_2
| ~ spl18_3 ),
inference(forward_demodulation,[],[f304,f308]) ).
fof(f304,plain,
( e2 = op(e3,e2)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f302,plain,
( spl18_2
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_2])]) ).
fof(f1381,plain,
( ~ spl18_13
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f1380]) ).
fof(f1380,plain,
( $false
| ~ spl18_13
| ~ spl18_15 ),
inference(subsumption_resolution,[],[f1375,f254]) ).
fof(f1375,plain,
( e0 = e3
| ~ spl18_13
| ~ spl18_15 ),
inference(superposition,[],[f360,f352]) ).
fof(f1372,plain,
( ~ spl18_3
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1371]) ).
fof(f1371,plain,
( $false
| ~ spl18_3
| ~ spl18_4 ),
inference(subsumption_resolution,[],[f1367,f259]) ).
fof(f1367,plain,
( e0 = e1
| ~ spl18_3
| ~ spl18_4 ),
inference(superposition,[],[f308,f312]) ).
fof(f1346,plain,
( ~ spl18_78
| ~ spl18_90 ),
inference(avatar_contradiction_clause,[],[f1345]) ).
fof(f1345,plain,
( $false
| ~ spl18_78
| ~ spl18_90 ),
inference(subsumption_resolution,[],[f1344,f257]) ).
fof(f1344,plain,
( e0 = e2
| ~ spl18_78
| ~ spl18_90 ),
inference(forward_demodulation,[],[f643,f704]) ).
fof(f643,plain,
( e2 = op(e2,e0)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl18_78
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).
fof(f1339,plain,
( ~ spl18_78
| ~ spl18_93 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl18_78
| ~ spl18_93 ),
inference(subsumption_resolution,[],[f1337,f255]) ).
fof(f1337,plain,
( e1 = e2
| ~ spl18_78
| ~ spl18_93 ),
inference(forward_demodulation,[],[f643,f731]) ).
fof(f1335,plain,
( ~ spl18_79
| ~ spl18_91 ),
inference(avatar_contradiction_clause,[],[f1334]) ).
fof(f1334,plain,
( $false
| ~ spl18_79
| ~ spl18_91 ),
inference(subsumption_resolution,[],[f1333,f255]) ).
fof(f1333,plain,
( e1 = e2
| ~ spl18_79
| ~ spl18_91 ),
inference(forward_demodulation,[],[f647,f710]) ).
fof(f710,plain,
( e1 = op(e1,e0)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl18_91
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_91])]) ).
fof(f1325,plain,
( ~ spl18_40
| ~ spl18_56
| ~ spl18_82
| spl18_105 ),
inference(avatar_contradiction_clause,[],[f1324]) ).
fof(f1324,plain,
( $false
| ~ spl18_40
| ~ spl18_56
| ~ spl18_82
| spl18_105 ),
inference(subsumption_resolution,[],[f1323,f661]) ).
fof(f1323,plain,
( e2 != op(e0,e1)
| ~ spl18_40
| ~ spl18_56
| spl18_105 ),
inference(forward_demodulation,[],[f1322,f471]) ).
fof(f1322,plain,
( e2 != op(op(e1,e3),e1)
| ~ spl18_56
| spl18_105 ),
inference(forward_demodulation,[],[f828,f541]) ).
fof(f1321,plain,
( ~ spl18_91
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f1320]) ).
fof(f1320,plain,
( $false
| ~ spl18_91
| ~ spl18_100 ),
inference(subsumption_resolution,[],[f1319,f256]) ).
fof(f1319,plain,
( e1 = e3
| ~ spl18_91
| ~ spl18_100 ),
inference(forward_demodulation,[],[f788,f710]) ).
fof(f1318,plain,
( ~ spl18_74
| ~ spl18_92 ),
inference(avatar_contradiction_clause,[],[f1317]) ).
fof(f1317,plain,
( $false
| ~ spl18_74
| ~ spl18_92 ),
inference(subsumption_resolution,[],[f1316,f254]) ).
fof(f1316,plain,
( e0 = e3
| ~ spl18_74
| ~ spl18_92 ),
inference(forward_demodulation,[],[f623,f719]) ).
fof(f623,plain,
( e3 = op(e3,e1)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl18_74
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).
fof(f1305,plain,
( ~ spl18_20
| ~ spl18_21 ),
inference(avatar_contradiction_clause,[],[f1304]) ).
fof(f1304,plain,
( $false
| ~ spl18_20
| ~ spl18_21 ),
inference(subsumption_resolution,[],[f1303,f259]) ).
fof(f1303,plain,
( e0 = e1
| ~ spl18_20
| ~ spl18_21 ),
inference(forward_demodulation,[],[f386,f382]) ).
fof(f1298,plain,
( ~ spl18_92
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f1297]) ).
fof(f1297,plain,
( $false
| ~ spl18_92
| ~ spl18_94 ),
inference(subsumption_resolution,[],[f1296,f257]) ).
fof(f1296,plain,
( e0 = e2
| ~ spl18_92
| ~ spl18_94 ),
inference(forward_demodulation,[],[f744,f719]) ).
fof(f1295,plain,
( ~ spl18_1
| ~ spl18_3 ),
inference(avatar_contradiction_clause,[],[f1294]) ).
fof(f1294,plain,
( $false
| ~ spl18_1
| ~ spl18_3 ),
inference(subsumption_resolution,[],[f1291,f256]) ).
fof(f1291,plain,
( e1 = e3
| ~ spl18_1
| ~ spl18_3 ),
inference(superposition,[],[f300,f308]) ).
fof(f300,plain,
( e3 = op(e3,e2)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f298,plain,
( spl18_1
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_1])]) ).
fof(f1281,plain,
( ~ spl18_15
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f1280]) ).
fof(f1280,plain,
( $false
| ~ spl18_15
| ~ spl18_16 ),
inference(subsumption_resolution,[],[f1279,f256]) ).
fof(f1279,plain,
( e1 = e3
| ~ spl18_15
| ~ spl18_16 ),
inference(forward_demodulation,[],[f360,f364]) ).
fof(f1261,plain,
( ~ spl18_14
| ~ spl18_15 ),
inference(avatar_contradiction_clause,[],[f1260]) ).
fof(f1260,plain,
( $false
| ~ spl18_14
| ~ spl18_15 ),
inference(subsumption_resolution,[],[f1259,f258]) ).
fof(f1259,plain,
( e2 = e3
| ~ spl18_14
| ~ spl18_15 ),
inference(forward_demodulation,[],[f360,f356]) ).
fof(f1250,plain,
( ~ spl18_5
| ~ spl18_81 ),
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1249,plain,
( $false
| ~ spl18_5
| ~ spl18_81 ),
inference(subsumption_resolution,[],[f1248,f257]) ).
fof(f1248,plain,
( e0 = e2
| ~ spl18_5
| ~ spl18_81 ),
inference(forward_demodulation,[],[f657,f317]) ).
fof(f1243,plain,
( ~ spl18_1
| ~ spl18_2 ),
inference(avatar_contradiction_clause,[],[f1242]) ).
fof(f1242,plain,
( $false
| ~ spl18_1
| ~ spl18_2 ),
inference(subsumption_resolution,[],[f1238,f258]) ).
fof(f1238,plain,
( e2 = e3
| ~ spl18_1
| ~ spl18_2 ),
inference(superposition,[],[f300,f304]) ).
fof(f1228,plain,
( ~ spl18_36
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1227,plain,
( $false
| ~ spl18_36
| ~ spl18_84 ),
inference(subsumption_resolution,[],[f1226,f256]) ).
fof(f1226,plain,
( e1 = e3
| ~ spl18_36
| ~ spl18_84 ),
inference(forward_demodulation,[],[f670,f453]) ).
fof(f1213,plain,
( ~ spl18_31
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f1212]) ).
fof(f1212,plain,
( $false
| ~ spl18_31
| ~ spl18_50 ),
inference(subsumption_resolution,[],[f1211,f259]) ).
fof(f1211,plain,
( e0 = e1
| ~ spl18_31
| ~ spl18_50 ),
inference(forward_demodulation,[],[f431,f515]) ).
fof(f1208,plain,
( ~ spl18_32
| ~ spl18_77 ),
inference(avatar_contradiction_clause,[],[f1207]) ).
fof(f1207,plain,
( $false
| ~ spl18_32
| ~ spl18_77 ),
inference(subsumption_resolution,[],[f1206,f256]) ).
fof(f1206,plain,
( e1 = e3
| ~ spl18_32
| ~ spl18_77 ),
inference(forward_demodulation,[],[f638,f435]) ).
fof(f1204,plain,
( ~ spl18_91
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f1203]) ).
fof(f1203,plain,
( $false
| ~ spl18_91
| ~ spl18_99 ),
inference(subsumption_resolution,[],[f1202,f259]) ).
fof(f1202,plain,
( e0 = e1
| ~ spl18_91
| ~ spl18_99 ),
inference(forward_demodulation,[],[f710,f784]) ).
fof(f1201,plain,
( ~ spl18_1
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1200]) ).
fof(f1200,plain,
( $false
| ~ spl18_1
| ~ spl18_4 ),
inference(subsumption_resolution,[],[f1199,f254]) ).
fof(f1199,plain,
( e0 = e3
| ~ spl18_1
| ~ spl18_4 ),
inference(forward_demodulation,[],[f300,f312]) ).
fof(f1176,plain,
( ~ spl18_43
| ~ spl18_84 ),
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl18_43
| ~ spl18_84 ),
inference(subsumption_resolution,[],[f1174,f254]) ).
fof(f1174,plain,
( e0 = e3
| ~ spl18_43
| ~ spl18_84 ),
inference(forward_demodulation,[],[f670,f483]) ).
fof(f1173,plain,
( ~ spl18_9
| ~ spl18_18 ),
inference(avatar_contradiction_clause,[],[f1172]) ).
fof(f1172,plain,
( $false
| ~ spl18_9
| ~ spl18_18 ),
inference(subsumption_resolution,[],[f1171,f254]) ).
fof(f1171,plain,
( e0 = e3
| ~ spl18_9
| ~ spl18_18 ),
inference(forward_demodulation,[],[f334,f373]) ).
fof(f1170,plain,
( ~ spl18_5
| ~ spl18_37 ),
inference(avatar_contradiction_clause,[],[f1169]) ).
fof(f1169,plain,
( $false
| ~ spl18_5
| ~ spl18_37 ),
inference(subsumption_resolution,[],[f1165,f254]) ).
fof(f1165,plain,
( e0 = e3
| ~ spl18_5
| ~ spl18_37 ),
inference(superposition,[],[f458,f317]) ).
fof(f1157,plain,
( ~ spl18_74
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f1156]) ).
fof(f1156,plain,
( $false
| ~ spl18_74
| ~ spl18_95 ),
inference(subsumption_resolution,[],[f1155,f256]) ).
fof(f1155,plain,
( e1 = e3
| ~ spl18_74
| ~ spl18_95 ),
inference(forward_demodulation,[],[f623,f752]) ).
fof(f1154,plain,
( ~ spl18_89
| ~ spl18_98 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| ~ spl18_89
| ~ spl18_98 ),
inference(subsumption_resolution,[],[f1152,f257]) ).
fof(f1152,plain,
( e0 = e2
| ~ spl18_89
| ~ spl18_98 ),
inference(forward_demodulation,[],[f771,f700]) ).
fof(f1144,plain,
( ~ spl18_48
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f1143]) ).
fof(f1143,plain,
( $false
| ~ spl18_48
| ~ spl18_50 ),
inference(subsumption_resolution,[],[f1142,f254]) ).
fof(f1142,plain,
( e0 = e3
| ~ spl18_48
| ~ spl18_50 ),
inference(forward_demodulation,[],[f507,f515]) ).
fof(f1135,plain,
( ~ spl18_74
| ~ spl18_94 ),
inference(avatar_contradiction_clause,[],[f1134]) ).
fof(f1134,plain,
( $false
| ~ spl18_74
| ~ spl18_94 ),
inference(subsumption_resolution,[],[f1133,f258]) ).
fof(f1133,plain,
( e2 = e3
| ~ spl18_74
| ~ spl18_94 ),
inference(forward_demodulation,[],[f623,f744]) ).
fof(f1132,plain,
( ~ spl18_98
| ~ spl18_104 ),
inference(avatar_contradiction_clause,[],[f1131]) ).
fof(f1131,plain,
( $false
| ~ spl18_98
| ~ spl18_104 ),
inference(subsumption_resolution,[],[f1130,f255]) ).
fof(f1130,plain,
( e1 = e2
| ~ spl18_98
| ~ spl18_104 ),
inference(forward_demodulation,[],[f771,f818]) ).
fof(f1129,plain,
( ~ spl18_62
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f1128]) ).
fof(f1128,plain,
( $false
| ~ spl18_62
| ~ spl18_78 ),
inference(subsumption_resolution,[],[f1125,f258]) ).
fof(f1125,plain,
( e2 = e3
| ~ spl18_62
| ~ spl18_78 ),
inference(superposition,[],[f572,f643]) ).
fof(f1119,plain,
( ~ spl18_36
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f1118]) ).
fof(f1118,plain,
( $false
| ~ spl18_36
| ~ spl18_43 ),
inference(subsumption_resolution,[],[f1115,f259]) ).
fof(f1115,plain,
( e0 = e1
| ~ spl18_36
| ~ spl18_43 ),
inference(superposition,[],[f453,f483]) ).
fof(f1107,plain,
( ~ spl18_30
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f1106]) ).
fof(f1106,plain,
( $false
| ~ spl18_30
| ~ spl18_39 ),
inference(subsumption_resolution,[],[f1101,f255]) ).
fof(f1101,plain,
( e1 = e2
| ~ spl18_30
| ~ spl18_39 ),
inference(superposition,[],[f427,f467]) ).
fof(f427,plain,
( e1 = op(e1,e3)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f425,plain,
( spl18_30
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
fof(f1099,plain,
( ~ spl18_6
| ~ spl18_51 ),
inference(avatar_contradiction_clause,[],[f1098]) ).
fof(f1098,plain,
( $false
| ~ spl18_6
| ~ spl18_51 ),
inference(subsumption_resolution,[],[f1095,f257]) ).
fof(f1095,plain,
( e0 = e2
| ~ spl18_6
| ~ spl18_51 ),
inference(superposition,[],[f320,f520]) ).
fof(f1089,plain,
( ~ spl18_40
| ~ spl18_56
| spl18_96 ),
inference(avatar_split_clause,[],[f1088,f755,f540,f469]) ).
fof(f1088,plain,
( e0 != op(e1,e3)
| ~ spl18_56
| spl18_96 ),
inference(forward_demodulation,[],[f757,f541]) ).
fof(f1083,plain,
( ~ spl18_56
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1082,plain,
( $false
| ~ spl18_56
| ~ spl18_87 ),
inference(subsumption_resolution,[],[f1081,f254]) ).
fof(f1081,plain,
( e0 = e3
| ~ spl18_56
| ~ spl18_87 ),
inference(forward_demodulation,[],[f541,f688]) ).
fof(f1080,plain,
( ~ spl18_40
| ~ spl18_41 ),
inference(avatar_contradiction_clause,[],[f1079]) ).
fof(f1079,plain,
( $false
| ~ spl18_40
| ~ spl18_41 ),
inference(subsumption_resolution,[],[f1073,f254]) ).
fof(f1073,plain,
( e0 = e3
| ~ spl18_40
| ~ spl18_41 ),
inference(superposition,[],[f471,f475]) ).
fof(f1070,plain,
( ~ spl18_49
| ~ spl18_50 ),
inference(avatar_contradiction_clause,[],[f1069]) ).
fof(f1069,plain,
( $false
| ~ spl18_49
| ~ spl18_50 ),
inference(subsumption_resolution,[],[f1068,f257]) ).
fof(f1068,plain,
( e0 = e2
| ~ spl18_49
| ~ spl18_50 ),
inference(forward_demodulation,[],[f511,f515]) ).
fof(f1063,plain,
( ~ spl18_19
| ~ spl18_22 ),
inference(avatar_contradiction_clause,[],[f1062]) ).
fof(f1062,plain,
( $false
| ~ spl18_19
| ~ spl18_22 ),
inference(subsumption_resolution,[],[f1056,f258]) ).
fof(f1056,plain,
( e2 = e3
| ~ spl18_19
| ~ spl18_22 ),
inference(superposition,[],[f390,f378]) ).
fof(f378,plain,
( e3 = op(e3,e3)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f376]) ).
fof(f376,plain,
( spl18_19
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_19])]) ).
fof(f1051,plain,
( ~ spl18_32
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f1050]) ).
fof(f1050,plain,
( $false
| ~ spl18_32
| ~ spl18_83 ),
inference(subsumption_resolution,[],[f1049,f255]) ).
fof(f1049,plain,
( e1 = e2
| ~ spl18_32
| ~ spl18_83 ),
inference(forward_demodulation,[],[f665,f435]) ).
fof(f1043,plain,
( ~ spl18_39
| ~ spl18_41 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| ~ spl18_39
| ~ spl18_41 ),
inference(subsumption_resolution,[],[f1036,f258]) ).
fof(f1036,plain,
( e2 = e3
| ~ spl18_39
| ~ spl18_41 ),
inference(superposition,[],[f467,f475]) ).
fof(f1034,plain,
( ~ spl18_31
| ~ spl18_49 ),
inference(avatar_contradiction_clause,[],[f1033]) ).
fof(f1033,plain,
( $false
| ~ spl18_31
| ~ spl18_49 ),
inference(subsumption_resolution,[],[f1030,f255]) ).
fof(f1030,plain,
( e1 = e2
| ~ spl18_31
| ~ spl18_49 ),
inference(superposition,[],[f431,f511]) ).
fof(f1019,plain,
( ~ spl18_33
| ~ spl18_76 ),
inference(avatar_contradiction_clause,[],[f1018]) ).
fof(f1018,plain,
( $false
| ~ spl18_33
| ~ spl18_76 ),
inference(subsumption_resolution,[],[f1017,f255]) ).
fof(f1017,plain,
( e1 = e2
| ~ spl18_33
| ~ spl18_76 ),
inference(forward_demodulation,[],[f632,f440]) ).
fof(f440,plain,
( e1 = op(e1,e2)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f438,plain,
( spl18_33
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_33])]) ).
fof(f1015,plain,
( ~ spl18_18
| ~ spl18_85 ),
inference(avatar_contradiction_clause,[],[f1014]) ).
fof(f1014,plain,
( $false
| ~ spl18_18
| ~ spl18_85 ),
inference(subsumption_resolution,[],[f1013,f257]) ).
fof(f1013,plain,
( e0 = e2
| ~ spl18_18
| ~ spl18_85 ),
inference(forward_demodulation,[],[f675,f373]) ).
fof(f1011,plain,
( ~ spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f1010]) ).
fof(f1010,plain,
( $false
| ~ spl18_2
| ~ spl18_4 ),
inference(subsumption_resolution,[],[f1006,f257]) ).
fof(f1006,plain,
( e0 = e2
| ~ spl18_2
| ~ spl18_4 ),
inference(superposition,[],[f304,f312]) ).
fof(f1002,plain,
( ~ spl18_92
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f1001]) ).
fof(f1001,plain,
( $false
| ~ spl18_92
| ~ spl18_95 ),
inference(subsumption_resolution,[],[f1000,f259]) ).
fof(f1000,plain,
( e0 = e1
| ~ spl18_92
| ~ spl18_95 ),
inference(forward_demodulation,[],[f752,f719]) ).
fof(f999,plain,
( ~ spl18_19
| ~ spl18_21 ),
inference(avatar_contradiction_clause,[],[f998]) ).
fof(f998,plain,
( $false
| ~ spl18_19
| ~ spl18_21 ),
inference(subsumption_resolution,[],[f995,f256]) ).
fof(f995,plain,
( e1 = e3
| ~ spl18_19
| ~ spl18_21 ),
inference(superposition,[],[f378,f386]) ).
fof(f991,plain,
( ~ spl18_19
| ~ spl18_20 ),
inference(avatar_contradiction_clause,[],[f990]) ).
fof(f990,plain,
( $false
| ~ spl18_19
| ~ spl18_20 ),
inference(subsumption_resolution,[],[f987,f254]) ).
fof(f987,plain,
( e0 = e3
| ~ spl18_19
| ~ spl18_20 ),
inference(superposition,[],[f378,f382]) ).
fof(f968,plain,
( ~ spl18_30
| ~ spl18_41 ),
inference(avatar_contradiction_clause,[],[f967]) ).
fof(f967,plain,
( $false
| ~ spl18_30
| ~ spl18_41 ),
inference(subsumption_resolution,[],[f966,f256]) ).
fof(f966,plain,
( e1 = e3
| ~ spl18_30
| ~ spl18_41 ),
inference(forward_demodulation,[],[f475,f427]) ).
fof(f965,plain,
( ~ spl18_16
| ~ spl18_6
| ~ spl18_37
| spl18_103 ),
inference(avatar_split_clause,[],[f959,f805,f456,f319,f362]) ).
fof(f959,plain,
( e1 != op(e3,e0)
| ~ spl18_6
| ~ spl18_37
| spl18_103 ),
inference(forward_demodulation,[],[f919,f458]) ).
fof(f919,plain,
( e1 != op(op(e0,e2),e0)
| ~ spl18_6
| spl18_103 ),
inference(forward_demodulation,[],[f807,f320]) ).
fof(f957,plain,
( ~ spl18_79
| ~ spl18_100 ),
inference(avatar_contradiction_clause,[],[f956]) ).
fof(f956,plain,
( $false
| ~ spl18_79
| ~ spl18_100 ),
inference(subsumption_resolution,[],[f955,f258]) ).
fof(f955,plain,
( e2 = e3
| ~ spl18_79
| ~ spl18_100 ),
inference(forward_demodulation,[],[f788,f647]) ).
fof(f954,plain,
( ~ spl18_33
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f953]) ).
fof(f953,plain,
( $false
| ~ spl18_33
| ~ spl18_75 ),
inference(subsumption_resolution,[],[f952,f259]) ).
fof(f952,plain,
( e0 = e1
| ~ spl18_33
| ~ spl18_75 ),
inference(forward_demodulation,[],[f440,f628]) ).
fof(f938,plain,
( ~ spl18_3
| ~ spl18_18
| ~ spl18_62
| spl18_102 ),
inference(avatar_split_clause,[],[f937,f797,f570,f371,f306]) ).
fof(f937,plain,
( e1 != op(e3,e2)
| ~ spl18_18
| ~ spl18_62
| spl18_102 ),
inference(forward_demodulation,[],[f936,f572]) ).
fof(f936,plain,
( e1 != op(op(e2,e0),e2)
| ~ spl18_18
| spl18_102 ),
inference(forward_demodulation,[],[f799,f373]) ).
fof(f935,plain,
( ~ spl18_6
| spl18_24
| ~ spl18_35 ),
inference(avatar_contradiction_clause,[],[f934]) ).
fof(f934,plain,
( $false
| ~ spl18_6
| spl18_24
| ~ spl18_35 ),
inference(subsumption_resolution,[],[f933,f449]) ).
fof(f933,plain,
( e1 != op(e0,e2)
| ~ spl18_6
| spl18_24 ),
inference(forward_demodulation,[],[f399,f320]) ).
fof(f923,plain,
( ~ spl18_35
| ~ spl18_37 ),
inference(avatar_contradiction_clause,[],[f922]) ).
fof(f922,plain,
( $false
| ~ spl18_35
| ~ spl18_37 ),
inference(subsumption_resolution,[],[f921,f256]) ).
fof(f921,plain,
( e1 = e3
| ~ spl18_35
| ~ spl18_37 ),
inference(forward_demodulation,[],[f458,f449]) ).
fof(f907,plain,
( ~ spl18_30
| ~ spl18_40 ),
inference(avatar_contradiction_clause,[],[f906]) ).
fof(f906,plain,
( $false
| ~ spl18_30
| ~ spl18_40 ),
inference(subsumption_resolution,[],[f905,f259]) ).
fof(f905,plain,
( e0 = e1
| ~ spl18_30
| ~ spl18_40 ),
inference(forward_demodulation,[],[f427,f471]) ).
fof(f904,plain,
( ~ spl18_92
| ~ spl18_27
| ~ spl18_38
| spl18_55 ),
inference(avatar_split_clause,[],[f903,f536,f460,f410,f717]) ).
fof(f903,plain,
( e0 != op(e3,e1)
| ~ spl18_27
| ~ spl18_38
| spl18_55 ),
inference(forward_demodulation,[],[f871,f462]) ).
fof(f871,plain,
( e0 != op(op(e1,e2),e1)
| ~ spl18_27
| spl18_55 ),
inference(forward_demodulation,[],[f538,f412]) ).
fof(f894,plain,
( ~ spl18_79
| spl18_23
| ~ spl18_25
| ~ spl18_32 ),
inference(avatar_split_clause,[],[f893,f433,f401,f393,f645]) ).
fof(f893,plain,
( e2 != op(e1,e0)
| spl18_23
| ~ spl18_25
| ~ spl18_32 ),
inference(forward_demodulation,[],[f892,f435]) ).
fof(f892,plain,
( e2 != op(op(e0,e3),e0)
| spl18_23
| ~ spl18_25 ),
inference(forward_demodulation,[],[f395,f402]) ).
fof(f891,plain,
( ~ spl18_89
| spl18_10
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f890,f341,f337,f698]) ).
fof(f890,plain,
( e0 != op(e2,e1)
| spl18_10
| ~ spl18_11 ),
inference(forward_demodulation,[],[f339,f342]) ).
fof(f883,plain,
( ~ spl18_63
| ~ spl18_11
| spl18_60 ),
inference(avatar_split_clause,[],[f882,f559,f341,f574]) ).
fof(f882,plain,
( e3 != op(e2,e1)
| ~ spl18_11
| spl18_60 ),
inference(forward_demodulation,[],[f561,f342]) ).
fof(f876,plain,
( ~ spl18_13
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f875]) ).
fof(f875,plain,
( $false
| ~ spl18_13
| ~ spl18_16 ),
inference(subsumption_resolution,[],[f874,f259]) ).
fof(f874,plain,
( e0 = e1
| ~ spl18_13
| ~ spl18_16 ),
inference(forward_demodulation,[],[f364,f352]) ).
fof(f870,plain,
( ~ spl18_33
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| ~ spl18_33
| ~ spl18_38 ),
inference(subsumption_resolution,[],[f868,f256]) ).
fof(f868,plain,
( e1 = e3
| ~ spl18_33
| ~ spl18_38 ),
inference(forward_demodulation,[],[f462,f440]) ).
fof(f864,plain,
( spl18_15
| spl18_25
| spl18_100
| spl18_62 ),
inference(avatar_split_clause,[],[f264,f570,f786,f401,f358]) ).
fof(f264,plain,
( e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1) )
& ( e0 = op(e3,e1)
| e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e2) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e0)
| e1 = op(e1,e2)
| e1 = op(e1,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e2)
| e1 = op(e2,e1) )
& ( e0 = op(e0,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e3,e2) )
& ( e1 = op(e3,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3)
| e1 = op(e0,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1) )
& ( e0 = op(e2,e3)
| e0 = op(e0,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) )
& ( e1 = op(e0,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2) )
& ( e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e2 = op(e2,e0)
| e2 = op(e2,e2)
| e2 = op(e2,e3)
| e2 = op(e2,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e2) )
& ( e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e0,e3)
| op(e0,e0) = e3
| e3 = op(e0,e1)
| e3 = op(e0,e2) )
& ( e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 )
& ( op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e1)
| e1 = op(e0,e2) )
& ( e1 = op(e3,e0)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e2) )
& ( e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0)
| e0 = op(e1,e3) )
& ( e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e2) )
& ( e1 = op(e2,e0)
| op(e0,e0) = e1
| e1 = op(e1,e0)
| e1 = op(e3,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e0) )
& ( e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e3 = op(e0,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3) )
& ( e2 = op(e3,e2)
| e2 = op(e3,e0)
| e2 = op(e3,e1)
| e2 = op(e3,e3) )
& ( e3 = op(e1,e0)
| e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e2,e0) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f863,plain,
( ~ spl18_72
| spl18_25 ),
inference(avatar_split_clause,[],[f200,f401,f611]) ).
fof(f611,plain,
( spl18_72
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_72])]) ).
fof(f200,plain,
( op(e0,e0) = e3
| ~ sP11 ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP11 ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f862,plain,
( ~ spl18_106
| ~ spl18_55
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f296,f410,f536,f845]) ).
fof(f296,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e2 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f861,plain,
( ~ spl18_8
| spl18_22 ),
inference(avatar_split_clause,[],[f211,f388,f328]) ).
fof(f328,plain,
( spl18_8
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_8])]) ).
fof(f211,plain,
( e2 = op(e3,e3)
| ~ sP8 ),
inference(cnf_transformation,[],[f82]) ).
fof(f82,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP8 ),
inference(nnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f860,plain,
( ~ spl18_87
| ~ spl18_97
| ~ spl18_54 ),
inference(avatar_split_clause,[],[f249,f532,f759,f686]) ).
fof(f249,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,op(e1,e1)),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f859,plain,
( spl18_80
| ~ spl18_69 ),
inference(avatar_split_clause,[],[f205,f599,f650]) ).
fof(f599,plain,
( spl18_69
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_69])]) ).
fof(f205,plain,
( ~ sP10
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP10 ),
inference(nnf_transformation,[],[f64]) ).
fof(f64,plain,
( ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f858,plain,
( ~ spl18_15
| ~ spl18_44
| spl18_20 ),
inference(avatar_split_clause,[],[f169,f380,f486,f358]) ).
fof(f486,plain,
( spl18_44
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).
fof(f169,plain,
( e0 = op(e3,e3)
| ~ sP17
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f73,plain,
( ( ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e3 != op(e3,e0)
| e0 = op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e3 != op(e3,e0)
| e0 = op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) ) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f857,plain,
( ~ spl18_45
| ~ spl18_18
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f253,f345,f371,f491]) ).
fof(f253,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f856,plain,
( ~ spl18_88
| ~ spl18_101
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f250,f388,f791,f691]) ).
fof(f250,plain,
( e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f855,plain,
( spl18_6
| ~ spl18_17 ),
inference(avatar_split_clause,[],[f196,f367,f319]) ).
fof(f367,plain,
( spl18_17
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_17])]) ).
fof(f196,plain,
( ~ sP13
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
( ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e0 != op(e0,e2) )
| ~ sP13 ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
( ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e0 != op(e0,e2) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f854,plain,
( spl18_42
| spl18_44
| spl18_11
| ~ spl18_98
| spl18_7 ),
inference(avatar_split_clause,[],[f239,f323,f769,f341,f486,f478]) ).
fof(f478,plain,
( spl18_42
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).
fof(f323,plain,
( spl18_7
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_7])]) ).
fof(f239,plain,
( sP15
| e2 != op(e2,e1)
| e1 = op(e2,e2)
| sP17
| sP16 ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
( ( ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 != op(e0,e1)
| op(e0,e0) = e1 )
& ( e3 != op(e3,e1)
| e1 = op(e3,e3) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e2 != op(e2,e1)
| e1 = op(e2,e2) ) )
| sP17
| sP16
| sP15 )
& ( ( e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 = op(e0,e0) )
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5
| sP4
| sP3
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f5,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e0 = op(e1,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e2,e2) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f57,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f58,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f59,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2)
& e1 = op(e2,e2) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f60,plain,
( ( op(e0,e0) = e1
& e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f61,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f63,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f66,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f68,plain,
( ( e1 = op(e2,e2)
& e2 = op(e1,e1)
& e2 != op(e2,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f69,plain,
( ( ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e3,e2)
| e2 = op(e3,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f70,plain,
( ( ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e1 != op(e1,e3)
| e3 = op(e1,e1) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f5,axiom,
( ( ( ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e0 != op(e0,e1)
| op(e0,e0) = e1 )
& ( e3 != op(e3,e1)
| e1 = op(e3,e3) )
& ( e1 != op(e3,e3)
| e3 = op(e3,e1) )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e2 != op(e2,e1)
| e1 = op(e2,e2) ) )
| ( ( e0 = op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e3,e3)
| e3 = op(e3,e0) )
& ( e0 = op(e2,e2)
| e2 != op(e2,e0) )
& ( e0 != op(e0,e0)
| e0 = op(e0,e0) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e3 != op(e3,e0)
| e0 = op(e3,e3) )
& ( e0 != op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e1,e1)
| e1 != op(e1,e0) ) )
| ( ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e1 != op(e1,e3)
| e3 = op(e1,e1) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) )
| ( ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e3,e2)
| e2 = op(e3,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) ) )
& ( ( e0 = op(e0,e0)
& e0 != op(e0,e0)
& e0 = op(e0,e0) )
| ( e1 = op(e2,e2)
& e2 = op(e1,e1)
& e2 != op(e2,e1) )
| ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e0 != op(e0,e2) )
| ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e3 != op(e3,e0)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e1 = op(e1,e1)
& e1 = op(e1,e1)
& e1 != op(e1,e1) )
| ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( op(e0,e0) = e1
& e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ( e2 = op(e1,e1)
& e1 != op(e1,e2)
& e1 = op(e2,e2) )
| ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ( e1 != op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e2,e2) )
| ( e0 = op(e1,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e2 != op(e2,e0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f853,plain,
( ~ spl18_9
| ~ spl18_42
| spl18_49 ),
inference(avatar_split_clause,[],[f176,f509,f478,f332]) ).
fof(f176,plain,
( e2 = op(e2,e3)
| ~ sP16
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f74]) ).
fof(f74,plain,
( ( ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 != op(e0,e3)
| op(e0,e0) = e3 )
& ( e3 != op(e3,e3)
| e3 = op(e3,e3) )
& ( e3 = op(e2,e2)
| e2 != op(e2,e3) )
& ( e1 != op(e1,e3)
| e3 = op(e1,e1) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e3 != op(e1,e1)
| e1 = op(e1,e3) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f70]) ).
fof(f852,plain,
( spl18_81
| spl18_35
| spl18_5
| spl18_37 ),
inference(avatar_split_clause,[],[f92,f456,f315,f447,f655]) ).
fof(f92,plain,
( e3 = op(e0,e2)
| e0 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e1 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1)
| e3 = op(e0,e1) )
& ( op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e2 )
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e0 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e0 = op(e3,e0)
| e1 = op(e3,e0) )
& ( e3 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2) )
& ( e0 = op(e1,e3)
| e1 = op(e1,e3)
| e2 = op(e1,e3)
| e3 = op(e1,e3) )
& ( e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e0 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e2 = op(e3,e3) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f851,plain,
( spl18_43
| spl18_89
| spl18_92
| spl18_87 ),
inference(avatar_split_clause,[],[f279,f686,f717,f698,f482]) ).
fof(f279,plain,
( e0 = op(e1,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f850,plain,
( ~ spl18_18
| ~ spl18_102
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f261,f559,f797,f371]) ).
fof(f261,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),e2) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f849,plain,
( ~ spl18_87
| ~ spl18_44
| spl18_91 ),
inference(avatar_split_clause,[],[f168,f709,f486,f686]) ).
fof(f168,plain,
( e1 = op(e1,e0)
| ~ sP17
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f848,plain,
( ~ spl18_106
| ~ spl18_105
| ~ spl18_87 ),
inference(avatar_split_clause,[],[f112,f686,f826,f845]) ).
fof(f112,plain,
( e0 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f843,plain,
( ~ spl18_103
| ~ spl18_58
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f165,f401,f550,f805]) ).
fof(f165,plain,
( op(e0,e0) != e3
| e2 != op(e0,op(e0,e0))
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e2 != op(e0,op(e0,e0))
| op(e0,e0) != e3
| e1 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e2 = op(e0,op(e0,e0))
& e1 = op(op(e0,op(e0,e0)),e0)
& op(e0,e0) = e3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f842,plain,
( spl18_25
| spl18_37
| spl18_77
| spl18_84 ),
inference(avatar_split_clause,[],[f276,f668,f636,f456,f401]) ).
fof(f276,plain,
( e3 = op(e0,e1)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f841,plain,
( ~ spl18_65
| spl18_34 ),
inference(avatar_split_clause,[],[f230,f443,f583]) ).
fof(f583,plain,
( spl18_65
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_65])]) ).
fof(f230,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
( ( e0 = op(e1,e1)
& e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f840,plain,
( spl18_87
| spl18_99
| spl18_75
| spl18_40 ),
inference(avatar_split_clause,[],[f272,f469,f626,f782,f686]) ).
fof(f272,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e0)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f839,plain,
( spl18_98
| spl18_104
| spl18_89
| spl18_63 ),
inference(avatar_split_clause,[],[f104,f574,f698,f816,f769]) ).
fof(f104,plain,
( e3 = op(e2,e1)
| e0 = op(e2,e1)
| e1 = op(e2,e1)
| e2 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f838,plain,
( spl18_104
| spl18_95
| spl18_36
| spl18_80 ),
inference(avatar_split_clause,[],[f269,f650,f451,f750,f816]) ).
fof(f269,plain,
( e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f837,plain,
( spl18_83
| spl18_77
| spl18_86
| spl18_32 ),
inference(avatar_split_clause,[],[f95,f433,f679,f636,f663]) ).
fof(f95,plain,
( e1 = op(e0,e3)
| e0 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f836,plain,
( ~ spl18_28
| ~ spl18_22
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f295,f527,f388,f415]) ).
fof(f295,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f835,plain,
( spl18_51
| spl18_99
| spl18_90
| spl18_13 ),
inference(avatar_split_clause,[],[f283,f350,f702,f782,f518]) ).
fof(f283,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f834,plain,
( ~ spl18_66
| spl18_21 ),
inference(avatar_split_clause,[],[f212,f384,f587]) ).
fof(f587,plain,
( spl18_66
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_66])]) ).
fof(f212,plain,
( e1 = op(e3,e3)
| ~ sP7 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
( ( e3 != op(e3,e1)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP7 ),
inference(nnf_transformation,[],[f61]) ).
fof(f833,plain,
( ~ spl18_64
| spl18_22 ),
inference(avatar_split_clause,[],[f229,f388,f579]) ).
fof(f579,plain,
( spl18_64
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_64])]) ).
fof(f229,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
( ( e2 = op(e3,e3)
& e3 != op(e3,e2)
& e3 = op(e2,e2) )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f832,plain,
( spl18_39
| spl18_49
| spl18_83
| spl18_22 ),
inference(avatar_split_clause,[],[f278,f388,f663,f509,f465]) ).
fof(f278,plain,
( e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f831,plain,
( spl18_30
| spl18_80
| spl18_91
| spl18_33 ),
inference(avatar_split_clause,[],[f292,f438,f709,f650,f425]) ).
fof(f292,plain,
( e1 = op(e1,e2)
| e1 = op(e1,e0)
| e1 = op(e1,e1)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f830,plain,
( ~ spl18_98
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f191,f406,f769]) ).
fof(f406,plain,
( spl18_26
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f191,plain,
( ~ sP14
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( ( e1 = op(e2,e2)
& e2 = op(e1,e1)
& e2 != op(e2,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f68]) ).
fof(f829,plain,
( ~ spl18_96
| ~ spl18_56
| ~ spl18_105 ),
inference(avatar_split_clause,[],[f251,f826,f540,f755]) ).
fof(f251,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e2 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f823,plain,
( spl18_56
| spl18_38
| spl18_41
| spl18_100 ),
inference(avatar_split_clause,[],[f282,f786,f473,f460,f540]) ).
fof(f282,plain,
( e3 = op(e1,e0)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f822,plain,
( spl18_78
| ~ spl18_44
| ~ spl18_18 ),
inference(avatar_split_clause,[],[f170,f371,f486,f641]) ).
fof(f170,plain,
( e0 != op(e2,e2)
| ~ sP17
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f821,plain,
( spl18_74
| spl18_1
| spl18_15
| spl18_19 ),
inference(avatar_split_clause,[],[f284,f376,f358,f298,f621]) ).
fof(f284,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f820,plain,
( spl18_86
| spl18_50
| spl18_20
| spl18_40 ),
inference(avatar_split_clause,[],[f286,f469,f380,f513,f679]) ).
fof(f286,plain,
( e0 = op(e1,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f819,plain,
( spl18_104
| spl18_93
| spl18_11
| spl18_31 ),
inference(avatar_split_clause,[],[f290,f429,f341,f729,f816]) ).
fof(f290,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e0)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f814,plain,
( spl18_27
| spl18_39
| spl18_79
| spl18_76 ),
inference(avatar_split_clause,[],[f271,f630,f645,f465,f410]) ).
fof(f271,plain,
( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f813,plain,
( spl18_42
| spl18_43
| spl18_7
| ~ spl18_34
| spl18_44 ),
inference(avatar_split_clause,[],[f242,f486,f443,f323,f482,f478]) ).
fof(f242,plain,
( sP17
| op(e0,e0) != e1
| sP15
| e0 = op(e0,e1)
| sP16 ),
inference(cnf_transformation,[],[f72]) ).
fof(f812,plain,
( ~ spl18_66
| ~ spl18_74 ),
inference(avatar_split_clause,[],[f214,f621,f587]) ).
fof(f214,plain,
( e3 != op(e3,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f83]) ).
fof(f810,plain,
( ~ spl18_67
| spl18_85 ),
inference(avatar_split_clause,[],[f199,f673,f591]) ).
fof(f591,plain,
( spl18_67
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f199,plain,
( e2 = op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
( ( e2 = op(e2,e2)
& e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ~ sP12 ),
inference(nnf_transformation,[],[f66]) ).
fof(f809,plain,
( ~ spl18_71
| spl18_18 ),
inference(avatar_split_clause,[],[f234,f371,f607]) ).
fof(f607,plain,
( spl18_71
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_71])]) ).
fof(f234,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f90,plain,
( ( op(e0,e0) = e2
& e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f808,plain,
( ~ spl18_57
| ~ spl18_6
| ~ spl18_103 ),
inference(avatar_split_clause,[],[f114,f805,f319,f545]) ).
fof(f114,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e2
| e3 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(op(e0,op(e0,e0)),e0)
| e3 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e3 = op(e0,op(e0,e0))
& op(e0,e0) = e2
& e1 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f803,plain,
( spl18_75
| spl18_18
| spl18_4
| spl18_5 ),
inference(avatar_split_clause,[],[f289,f315,f310,f371,f626]) ).
fof(f289,plain,
( e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f802,plain,
( spl18_11
| ~ spl18_68 ),
inference(avatar_split_clause,[],[f218,f595,f341]) ).
fof(f595,plain,
( spl18_68
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_68])]) ).
fof(f218,plain,
( ~ sP5
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
( ( e2 = op(e1,e1)
& e1 != op(e1,e2)
& e1 = op(e2,e2) )
| ~ sP5 ),
inference(nnf_transformation,[],[f59]) ).
fof(f801,plain,
( ~ spl18_68
| spl18_27 ),
inference(avatar_split_clause,[],[f220,f410,f595]) ).
fof(f220,plain,
( e2 = op(e1,e1)
| ~ sP5 ),
inference(cnf_transformation,[],[f85]) ).
fof(f800,plain,
( ~ spl18_9
| ~ spl18_10
| ~ spl18_102 ),
inference(avatar_split_clause,[],[f247,f797,f337,f332]) ).
fof(f247,plain,
( e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e3 != op(e2,e2)
| e1 != op(op(e2,op(e2,e2)),e2)
| e0 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),e2)
& e3 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f795,plain,
( ~ spl18_19
| ~ spl18_47 ),
inference(avatar_split_clause,[],[f223,f500,f376]) ).
fof(f500,plain,
( spl18_47
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).
fof(f223,plain,
( ~ sP4
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f86]) ).
fof(f86,plain,
( ( e3 != op(e3,e3)
& e3 = op(e3,e3)
& e3 = op(e3,e3) )
| ~ sP4 ),
inference(nnf_transformation,[],[f58]) ).
fof(f794,plain,
( ~ spl18_101
| ~ spl18_52
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f109,f380,f523,f791]) ).
fof(f109,plain,
( e0 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e1 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f780,plain,
( ~ spl18_42
| ~ spl18_56
| spl18_30 ),
inference(avatar_split_clause,[],[f175,f425,f540,f478]) ).
fof(f175,plain,
( e1 = op(e1,e3)
| e3 != op(e1,e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f74]) ).
fof(f779,plain,
( ~ spl18_7
| spl18_22
| ~ spl18_1 ),
inference(avatar_split_clause,[],[f188,f298,f388,f323]) ).
fof(f188,plain,
( e3 != op(e3,e2)
| e2 = op(e3,e3)
| ~ sP15 ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
( ( ( op(e0,e0) = e2
| e0 != op(e0,e2) )
& ( op(e0,e0) != e2
| e0 = op(e0,e2) )
& ( e3 != op(e3,e2)
| e2 = op(e3,e3) )
& ( e2 = op(e1,e1)
| e1 != op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e1,e1)
| e1 = op(e1,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e3,e3)
| e3 = op(e3,e2) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f69]) ).
fof(f778,plain,
( spl18_94
| spl18_82
| spl18_27
| spl18_98 ),
inference(avatar_split_clause,[],[f294,f769,f410,f659,f742]) ).
fof(f294,plain,
( e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f777,plain,
( spl18_21
| spl18_7
| ~ spl18_74
| spl18_44
| spl18_42 ),
inference(avatar_split_clause,[],[f244,f478,f486,f621,f323,f384]) ).
fof(f244,plain,
( sP16
| sP17
| e3 != op(e3,e1)
| sP15
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f72]) ).
fof(f776,plain,
( spl18_85
| spl18_49
| spl18_98
| spl18_78 ),
inference(avatar_split_clause,[],[f281,f641,f769,f509,f673]) ).
fof(f281,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e3)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f775,plain,
( ~ spl18_71
| ~ spl18_78 ),
inference(avatar_split_clause,[],[f233,f641,f607]) ).
fof(f233,plain,
( e2 != op(e2,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f774,plain,
( spl18_43
| spl18_51
| spl18_5
| spl18_86 ),
inference(avatar_split_clause,[],[f280,f679,f315,f518,f482]) ).
fof(f280,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e0)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f773,plain,
( spl18_18
| ~ spl18_78
| ~ spl18_44 ),
inference(avatar_split_clause,[],[f172,f486,f641,f371]) ).
fof(f172,plain,
( ~ sP17
| e2 != op(e2,e0)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f772,plain,
( spl18_7
| ~ spl18_11
| spl18_98
| spl18_42
| spl18_44 ),
inference(avatar_split_clause,[],[f241,f486,f478,f769,f341,f323]) ).
fof(f241,plain,
( sP17
| sP16
| e2 = op(e2,e1)
| e1 != op(e2,e2)
| sP15 ),
inference(cnf_transformation,[],[f72]) ).
fof(f767,plain,
( spl18_64
| spl18_70
| spl18_66
| spl18_17
| spl18_51
| spl18_65
| spl18_8
| spl18_68
| spl18_73
| spl18_72
| spl18_61
| spl18_47
| spl18_67
| spl18_69
| spl18_26
| spl18_71 ),
inference(avatar_split_clause,[],[f236,f607,f406,f599,f591,f500,f565,f611,f615,f595,f328,f583,f518,f367,f587,f603,f579]) ).
fof(f603,plain,
( spl18_70
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_70])]) ).
fof(f615,plain,
( spl18_73
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).
fof(f565,plain,
( spl18_61
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f236,plain,
( sP0
| sP14
| sP10
| sP12
| sP4
| sP3
| sP11
| sP6
| sP5
| sP8
| sP1
| e0 = op(e0,e0)
| sP13
| sP7
| sP9
| sP2 ),
inference(cnf_transformation,[],[f72]) ).
fof(f766,plain,
( ~ spl18_7
| ~ spl18_33
| spl18_27 ),
inference(avatar_split_clause,[],[f187,f410,f438,f323]) ).
fof(f187,plain,
( e2 = op(e1,e1)
| e1 != op(e1,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f75]) ).
fof(f765,plain,
( ~ spl18_7
| spl18_1
| ~ spl18_22 ),
inference(avatar_split_clause,[],[f183,f388,f298,f323]) ).
fof(f183,plain,
( e2 != op(e3,e3)
| e3 = op(e3,e2)
| ~ sP15 ),
inference(cnf_transformation,[],[f75]) ).
fof(f764,plain,
( spl18_56
| ~ spl18_30
| ~ spl18_42 ),
inference(avatar_split_clause,[],[f178,f478,f425,f540]) ).
fof(f178,plain,
( ~ sP16
| e1 != op(e1,e3)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f763,plain,
( spl18_87
| ~ spl18_73 ),
inference(avatar_split_clause,[],[f215,f615,f686]) ).
fof(f215,plain,
( ~ sP6
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
( ( op(e0,e0) = e1
& e1 != op(e1,e0)
& e0 = op(e1,e1) )
| ~ sP6 ),
inference(nnf_transformation,[],[f60]) ).
fof(f762,plain,
( ~ spl18_96
| ~ spl18_97
| ~ spl18_27 ),
inference(avatar_split_clause,[],[f113,f410,f759,f755]) ).
fof(f113,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),e1)
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),e1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e3 = op(op(e1,op(e1,e1)),e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f753,plain,
( spl18_16
| spl18_21
| spl18_95
| spl18_3 ),
inference(avatar_split_clause,[],[f273,f306,f750,f384,f362]) ).
fof(f273,plain,
( e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e3)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f748,plain,
( ~ spl18_47
| spl18_19 ),
inference(avatar_split_clause,[],[f222,f376,f500]) ).
fof(f222,plain,
( e3 = op(e3,e3)
| ~ sP4 ),
inference(cnf_transformation,[],[f86]) ).
fof(f747,plain,
( spl18_87
| ~ spl18_44
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f167,f709,f486,f686]) ).
fof(f167,plain,
( e1 != op(e1,e0)
| ~ sP17
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f73]) ).
fof(f746,plain,
( ~ spl18_71
| spl18_6 ),
inference(avatar_split_clause,[],[f235,f319,f607]) ).
fof(f235,plain,
( op(e0,e0) = e2
| ~ sP0 ),
inference(cnf_transformation,[],[f90]) ).
fof(f745,plain,
( spl18_14
| spl18_94
| spl18_22
| spl18_2 ),
inference(avatar_split_clause,[],[f265,f302,f388,f742,f354]) ).
fof(f265,plain,
( e2 = op(e3,e2)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f740,plain,
( ~ spl18_15
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f202,f611,f358]) ).
fof(f202,plain,
( ~ sP11
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f739,plain,
( ~ spl18_17
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f194,f315,f367]) ).
fof(f194,plain,
( e0 != op(e0,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f77]) ).
fof(f738,plain,
( spl18_85
| spl18_76
| spl18_2
| spl18_81 ),
inference(avatar_split_clause,[],[f267,f655,f302,f630,f673]) ).
fof(f267,plain,
( e2 = op(e0,e2)
| e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f736,plain,
( ~ spl18_64
| spl18_9 ),
inference(avatar_split_clause,[],[f227,f332,f579]) ).
fof(f227,plain,
( e3 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f88]) ).
fof(f735,plain,
( ~ spl18_67
| ~ spl18_85 ),
inference(avatar_split_clause,[],[f198,f673,f591]) ).
fof(f198,plain,
( e2 != op(e2,e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f78]) ).
fof(f734,plain,
( ~ spl18_42
| ~ spl18_25
| spl18_86 ),
inference(avatar_split_clause,[],[f182,f679,f401,f478]) ).
fof(f182,plain,
( e0 = op(e0,e3)
| op(e0,e0) != e3
| ~ sP16 ),
inference(cnf_transformation,[],[f74]) ).
fof(f733,plain,
( ~ spl18_43
| ~ spl18_65 ),
inference(avatar_split_clause,[],[f231,f583,f482]) ).
fof(f231,plain,
( ~ sP1
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f732,plain,
( spl18_16
| spl18_93
| spl18_34
| spl18_91 ),
inference(avatar_split_clause,[],[f270,f709,f443,f729,f362]) ).
fof(f270,plain,
( e1 = op(e1,e0)
| op(e0,e0) = e1
| e1 = op(e2,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f726,plain,
( spl18_11
| ~ spl18_26 ),
inference(avatar_split_clause,[],[f193,f406,f341]) ).
fof(f193,plain,
( ~ sP14
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f76]) ).
fof(f725,plain,
( spl18_67
| spl18_70
| spl18_72
| spl18_64
| spl18_66
| spl18_26
| spl18_47
| spl18_65
| spl18_71
| spl18_61
| spl18_68
| spl18_69
| spl18_73
| spl18_17
| spl18_8
| ~ spl18_51 ),
inference(avatar_split_clause,[],[f237,f518,f328,f367,f615,f599,f595,f565,f607,f583,f500,f406,f587,f579,f611,f603,f591]) ).
fof(f237,plain,
( e0 != op(e0,e0)
| sP8
| sP13
| sP6
| sP10
| sP5
| sP3
| sP0
| sP1
| sP4
| sP14
| sP7
| sP2
| sP11
| sP9
| sP12 ),
inference(cnf_transformation,[],[f72]) ).
fof(f724,plain,
( spl18_20
| ~ spl18_70 ),
inference(avatar_split_clause,[],[f207,f603,f380]) ).
fof(f207,plain,
( ~ sP9
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
( ( e0 != op(e0,e3)
& e0 = op(e3,e3)
& op(e0,e0) = e3 )
| ~ sP9 ),
inference(nnf_transformation,[],[f63]) ).
fof(f723,plain,
( spl18_63
| spl18_56
| spl18_84
| spl18_74 ),
inference(avatar_split_clause,[],[f277,f621,f668,f540,f574]) ).
fof(f277,plain,
( e3 = op(e3,e1)
| e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f722,plain,
( ~ spl18_6
| ~ spl18_24
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f166,f554,f397,f319]) ).
fof(f166,plain,
( e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,op(e0,e0))
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( op(e0,e0) != e2
| e3 != op(op(e0,op(e0,e0)),e0)
| e1 != op(e0,op(e0,e0)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( op(e0,e0) = e2
& e1 = op(e0,op(e0,e0))
& e3 = op(op(e0,op(e0,e0)),e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f721,plain,
( spl18_25
| ~ spl18_70 ),
inference(avatar_split_clause,[],[f206,f603,f401]) ).
fof(f206,plain,
( ~ sP9
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f81]) ).
fof(f720,plain,
( spl18_20
| spl18_13
| spl18_4
| spl18_92 ),
inference(avatar_split_clause,[],[f293,f717,f310,f350,f380]) ).
fof(f293,plain,
( e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e0)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f713,plain,
( spl18_20
| ~ spl18_72 ),
inference(avatar_split_clause,[],[f201,f611,f380]) ).
fof(f201,plain,
( ~ sP11
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f79]) ).
fof(f712,plain,
( ~ spl18_73
| ~ spl18_91 ),
inference(avatar_split_clause,[],[f216,f709,f615]) ).
fof(f216,plain,
( e1 != op(e1,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f84]) ).
fof(f707,plain,
( ~ spl18_65
| spl18_87 ),
inference(avatar_split_clause,[],[f232,f686,f583]) ).
fof(f232,plain,
( e0 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f89]) ).
fof(f706,plain,
( ~ spl18_68
| ~ spl18_33 ),
inference(avatar_split_clause,[],[f219,f438,f595]) ).
fof(f219,plain,
( e1 != op(e1,e2)
| ~ sP5 ),
inference(cnf_transformation,[],[f85]) ).
fof(f705,plain,
( spl18_50
| spl18_89
| spl18_90
| spl18_18 ),
inference(avatar_split_clause,[],[f268,f371,f702,f698,f513]) ).
fof(f268,plain,
( e0 = op(e2,e2)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f696,plain,
( ~ spl18_44
| spl18_15
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f173,f380,f358,f486]) ).
fof(f173,plain,
( e0 != op(e3,e3)
| e3 = op(e3,e0)
| ~ sP17 ),
inference(cnf_transformation,[],[f73]) ).
fof(f695,plain,
( ~ spl18_49
| spl18_9
| ~ spl18_42 ),
inference(avatar_split_clause,[],[f179,f478,f332,f509]) ).
fof(f179,plain,
( ~ sP16
| e3 = op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f74]) ).
fof(f694,plain,
( ~ spl18_29
| ~ spl18_21
| ~ spl18_88 ),
inference(avatar_split_clause,[],[f260,f691,f384,f419]) ).
fof(f260,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f689,plain,
( spl18_80
| spl18_87
| spl18_56
| spl18_27 ),
inference(avatar_split_clause,[],[f98,f410,f540,f686,f650]) ).
fof(f98,plain,
( e2 = op(e1,e1)
| e3 = op(e1,e1)
| e0 = op(e1,e1)
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f684,plain,
( ~ spl18_73
| spl18_34 ),
inference(avatar_split_clause,[],[f217,f443,f615]) ).
fof(f217,plain,
( op(e0,e0) = e1
| ~ sP6 ),
inference(cnf_transformation,[],[f84]) ).
fof(f682,plain,
( spl18_25
| ~ spl18_86
| ~ spl18_42 ),
inference(avatar_split_clause,[],[f181,f478,f679,f401]) ).
fof(f181,plain,
( ~ sP16
| e0 != op(e0,e3)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f74]) ).
fof(f677,plain,
( spl18_56
| ~ spl18_61 ),
inference(avatar_split_clause,[],[f225,f565,f540]) ).
fof(f225,plain,
( ~ sP3
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f87,plain,
( ( e1 != op(e1,e3)
& e3 = op(e1,e1)
& e1 = op(e3,e3) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f676,plain,
( spl18_18
| spl18_9
| spl18_85
| spl18_11 ),
inference(avatar_split_clause,[],[f97,f341,f673,f332,f371]) ).
fof(f97,plain,
( e1 = op(e2,e2)
| e2 = op(e2,e2)
| e3 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f671,plain,
( spl18_84
| spl18_36
| spl18_82
| spl18_43 ),
inference(avatar_split_clause,[],[f107,f482,f659,f451,f668]) ).
fof(f107,plain,
( e0 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f666,plain,
( spl18_6
| spl18_81
| spl18_82
| spl18_83 ),
inference(avatar_split_clause,[],[f263,f663,f659,f655,f319]) ).
fof(f263,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e1)
| e2 = op(e0,e2)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f653,plain,
( ~ spl18_69
| ~ spl18_80 ),
inference(avatar_split_clause,[],[f203,f650,f599]) ).
fof(f203,plain,
( e1 != op(e1,e1)
| ~ sP10 ),
inference(cnf_transformation,[],[f80]) ).
fof(f648,plain,
( spl18_6
| spl18_14
| spl18_78
| spl18_79 ),
inference(avatar_split_clause,[],[f275,f645,f641,f354,f319]) ).
fof(f275,plain,
( e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f639,plain,
( spl18_77
| spl18_19
| spl18_41
| spl18_48 ),
inference(avatar_split_clause,[],[f266,f505,f473,f376,f636]) ).
fof(f266,plain,
( e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f634,plain,
( ~ spl18_1
| ~ spl18_64 ),
inference(avatar_split_clause,[],[f228,f579,f298]) ).
fof(f228,plain,
( ~ sP2
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f624,plain,
( spl18_74
| spl18_44
| spl18_42
| spl18_7
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f243,f384,f323,f478,f486,f621]) ).
fof(f243,plain,
( e1 != op(e3,e3)
| sP15
| sP16
| sP17
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f619,plain,
( ~ spl18_66
| spl18_56 ),
inference(avatar_split_clause,[],[f213,f540,f587]) ).
fof(f213,plain,
( e3 = op(e1,e1)
| ~ sP7 ),
inference(cnf_transformation,[],[f83]) ).
fof(f577,plain,
( spl18_62
| spl18_9
| spl18_63
| spl18_48 ),
inference(avatar_split_clause,[],[f287,f505,f574,f332,f570]) ).
fof(f287,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e1)
| e3 = op(e2,e2)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f568,plain,
( ~ spl18_61
| spl18_21 ),
inference(avatar_split_clause,[],[f224,f384,f565]) ).
fof(f224,plain,
( e1 = op(e3,e3)
| ~ sP3 ),
inference(cnf_transformation,[],[f87]) ).
fof(f563,plain,
( spl18_35
| spl18_3
| spl18_11
| spl18_33 ),
inference(avatar_split_clause,[],[f285,f438,f341,f306,f447]) ).
fof(f285,plain,
( e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f562,plain,
( ~ spl18_46
| ~ spl18_60
| ~ spl18_11 ),
inference(avatar_split_clause,[],[f248,f341,f559,f495]) ).
fof(f248,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e1 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f557,plain,
( ~ spl18_58
| ~ spl18_59
| ~ spl18_34 ),
inference(avatar_split_clause,[],[f91,f443,f554,f550]) ).
fof(f91,plain,
( op(e0,e0) != e1
| e3 != op(op(e0,op(e0,e0)),e0)
| e2 != op(e0,op(e0,e0)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( op(e0,e0) != e1
| e2 != op(e0,op(e0,e0))
| e3 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( op(e0,e0) = e1
& e3 = op(op(e0,op(e0,e0)),e0)
& e2 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f548,plain,
( ~ spl18_23
| ~ spl18_57
| ~ spl18_34 ),
inference(avatar_split_clause,[],[f115,f443,f545,f393]) ).
fof(f115,plain,
( op(e0,e0) != e1
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( op(e0,e0) != e1
| e3 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( op(e0,e0) = e1
& e2 = op(op(e0,op(e0,e0)),e0)
& e3 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f543,plain,
( ~ spl18_54
| ~ spl18_55
| ~ spl18_56 ),
inference(avatar_split_clause,[],[f111,f540,f536,f532]) ).
fof(f111,plain,
( e3 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,op(e1,e1)),e1)
| e3 != op(e1,e1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e0 = op(op(e1,op(e1,e1)),e1)
& e3 = op(e1,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f530,plain,
( ~ spl18_52
| ~ spl18_21
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f110,f527,f384,f523]) ).
fof(f110,plain,
( e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e2 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,e3) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),e3)
& e1 = op(e3,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f521,plain,
( spl18_6
| spl18_25
| spl18_34
| spl18_51 ),
inference(avatar_split_clause,[],[f106,f518,f443,f401,f319]) ).
fof(f106,plain,
( e0 = op(e0,e0)
| op(e0,e0) = e1
| op(e0,e0) = e3
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f1]) ).
fof(f498,plain,
( ~ spl18_45
| ~ spl18_9
| ~ spl18_46 ),
inference(avatar_split_clause,[],[f164,f495,f332,f491]) ).
fof(f164,plain,
( e0 != op(op(e2,op(e2,e2)),e2)
| e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e1 != op(e2,op(e2,e2))
| e3 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),e2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e3 = op(e2,e2)
& e0 = op(op(e2,op(e2,e2)),e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f489,plain,
( spl18_34
| spl18_42
| ~ spl18_43
| spl18_44
| spl18_7 ),
inference(avatar_split_clause,[],[f245,f323,f486,f482,f478,f443]) ).
fof(f245,plain,
( sP15
| sP17
| e0 != op(e0,e1)
| sP16
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f72]) ).
fof(f463,plain,
( spl18_37
| spl18_38
| spl18_1
| spl18_9 ),
inference(avatar_split_clause,[],[f291,f332,f298,f460,f456]) ).
fof(f291,plain,
( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f454,plain,
( spl18_34
| spl18_35
| spl18_32
| spl18_36 ),
inference(avatar_split_clause,[],[f274,f451,f433,f447,f443]) ).
fof(f274,plain,
( e1 = op(e0,e1)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f441,plain,
( ~ spl18_27
| ~ spl18_7
| spl18_33 ),
inference(avatar_split_clause,[],[f185,f438,f323,f410]) ).
fof(f185,plain,
( e1 = op(e1,e2)
| ~ sP15
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f436,plain,
( spl18_30
| spl18_31
| spl18_32
| spl18_21 ),
inference(avatar_split_clause,[],[f288,f384,f433,f429,f425]) ).
fof(f288,plain,
( e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f423,plain,
( ~ spl18_5
| ~ spl18_7
| spl18_6 ),
inference(avatar_split_clause,[],[f190,f319,f323,f315]) ).
fof(f190,plain,
( op(e0,e0) = e2
| ~ sP15
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f422,plain,
( ~ spl18_28
| ~ spl18_29
| ~ spl18_20 ),
inference(avatar_split_clause,[],[f262,f380,f419,f415]) ).
fof(f262,plain,
( e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3)
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),e3) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f413,plain,
( ~ spl18_26
| spl18_27 ),
inference(avatar_split_clause,[],[f192,f410,f406]) ).
fof(f192,plain,
( e2 = op(e1,e1)
| ~ sP14 ),
inference(cnf_transformation,[],[f76]) ).
fof(f404,plain,
( ~ spl18_23
| ~ spl18_24
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f108,f401,f397,f393]) ).
fof(f108,plain,
( op(e0,e0) != e3
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),e0)
| op(e0,e0) != e3 ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( op(e0,e0) = e3
& e2 = op(op(e0,op(e0,e0)),e0)
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f391,plain,
( spl18_19
| spl18_20
| spl18_21
| spl18_22 ),
inference(avatar_split_clause,[],[f94,f388,f384,f380,f376]) ).
fof(f94,plain,
( e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f374,plain,
( ~ spl18_17
| spl18_18 ),
inference(avatar_split_clause,[],[f195,f371,f367]) ).
fof(f195,plain,
( e0 = op(e2,e2)
| ~ sP13 ),
inference(cnf_transformation,[],[f77]) ).
fof(f348,plain,
( ~ spl18_10
| ~ spl18_11
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f252,f345,f341,f337]) ).
fof(f252,plain,
( e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e0 != op(e2,op(e2,e2))
| e3 != op(op(e2,op(e2,e2)),e2)
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e0 = op(e2,op(e2,e2))
& e3 = op(op(e2,op(e2,e2)),e2)
& e1 = op(e2,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f335,plain,
( ~ spl18_8
| spl18_9 ),
inference(avatar_split_clause,[],[f210,f332,f328]) ).
fof(f210,plain,
( e3 = op(e2,e2)
| ~ sP8 ),
inference(cnf_transformation,[],[f82]) ).
fof(f326,plain,
( spl18_5
| ~ spl18_6
| ~ spl18_7 ),
inference(avatar_split_clause,[],[f189,f323,f319,f315]) ).
fof(f189,plain,
( ~ sP15
| op(e0,e0) != e2
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f75]) ).
fof(f313,plain,
( spl18_1
| spl18_2
| spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f100,f310,f306,f302,f298]) ).
fof(f100,plain,
( e0 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e3 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG161+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 : n012.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 14:56:06 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (17088)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)
% 0.18/0.50 % (17091)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.50 % (17077)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.51 % (17063)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)
% 0.18/0.52 % (17072)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.52 % (17083)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.52 % (17072)Instruction limit reached!
% 0.18/0.52 % (17072)------------------------------
% 0.18/0.52 % (17072)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (17065)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 % (17076)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.53 % (17066)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)
% 0.18/0.53 % (17068)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.53 % (17072)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (17072)Termination reason: Unknown
% 0.18/0.53 % (17072)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (17072)Memory used [KB]: 5756
% 0.18/0.53 % (17072)Time elapsed: 0.007 s
% 0.18/0.53 % (17072)Instructions burned: 8 (million)
% 0.18/0.53 % (17072)------------------------------
% 0.18/0.53 % (17072)------------------------------
% 0.18/0.53 % (17090)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (17064)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)
% 0.18/0.53 % (17074)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 % (17071)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.54 % (17073)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.51/0.54 % (17084)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.51/0.55 % (17092)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)
% 1.51/0.55 % (17078)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.51/0.55 % (17080)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)
% 1.51/0.55 % (17087)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.51/0.55 % (17089)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.51/0.56 % (17081)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.51/0.56 % (17095)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)
% 1.51/0.56 % (17073)Instruction limit reached!
% 1.51/0.56 % (17073)------------------------------
% 1.51/0.56 % (17073)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.56 % (17094)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.68/0.56 TRYING [4]
% 1.68/0.56 % (17085)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.68/0.56 % (17082)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.56 TRYING [4]
% 1.68/0.57 % (17073)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.57 % (17073)Termination reason: Unknown
% 1.68/0.57 % (17073)Termination phase: Property scanning
% 1.68/0.57
% 1.68/0.57 % (17073)Memory used [KB]: 1023
% 1.68/0.57 % (17073)Time elapsed: 0.005 s
% 1.68/0.57 % (17073)Instructions burned: 4 (million)
% 1.68/0.57 % (17073)------------------------------
% 1.68/0.57 % (17073)------------------------------
% 1.68/0.57 % (17093)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.68/0.57 % (17086)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)
% 1.68/0.57 % (17079)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.68/0.57 % (17065)Instruction limit reached!
% 1.68/0.57 % (17065)------------------------------
% 1.68/0.57 % (17065)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.58 % (17069)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.68/0.59 % (17083)Instruction limit reached!
% 1.68/0.59 % (17083)------------------------------
% 1.68/0.59 % (17083)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.59 % (17083)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (17083)Termination reason: Unknown
% 1.68/0.59 % (17083)Termination phase: Finite model building SAT solving
% 1.68/0.59
% 1.68/0.59 % (17083)Memory used [KB]: 7675
% 1.68/0.59 % (17083)Time elapsed: 0.170 s
% 1.68/0.59 % (17083)Instructions burned: 61 (million)
% 1.68/0.59 % (17083)------------------------------
% 1.68/0.59 % (17083)------------------------------
% 1.68/0.59 % (17065)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.59 % (17065)Termination reason: Unknown
% 1.68/0.59 % (17065)Termination phase: Saturation
% 1.68/0.59
% 1.68/0.59 % (17065)Memory used [KB]: 1279
% 1.68/0.59 % (17065)Time elapsed: 0.157 s
% 1.68/0.59 % (17065)Instructions burned: 38 (million)
% 1.68/0.59 % (17065)------------------------------
% 1.68/0.59 % (17065)------------------------------
% 1.68/0.59 TRYING [4]
% 1.68/0.60 % (17074)Instruction limit reached!
% 1.68/0.60 % (17074)------------------------------
% 1.68/0.60 % (17074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (17074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60 % (17074)Termination reason: Unknown
% 1.68/0.60 % (17074)Termination phase: Saturation
% 1.68/0.60
% 1.68/0.60 % (17074)Memory used [KB]: 1407
% 1.68/0.60 % (17074)Time elapsed: 0.180 s
% 1.68/0.60 % (17074)Instructions burned: 52 (million)
% 1.68/0.60 % (17074)------------------------------
% 1.68/0.60 % (17074)------------------------------
% 1.68/0.60 TRYING [5]
% 1.68/0.61 % (17076)Instruction limit reached!
% 1.68/0.61 % (17076)------------------------------
% 1.68/0.61 % (17076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.61 % (17076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.61 % (17076)Termination reason: Unknown
% 1.68/0.61 % (17076)Termination phase: Saturation
% 1.68/0.61
% 1.68/0.61 % (17076)Memory used [KB]: 6780
% 1.68/0.61 % (17076)Time elapsed: 0.026 s
% 1.68/0.61 % (17076)Instructions burned: 51 (million)
% 1.68/0.61 % (17076)------------------------------
% 1.68/0.61 % (17076)------------------------------
% 1.68/0.61 % (17066)Instruction limit reached!
% 1.68/0.61 % (17066)------------------------------
% 1.68/0.61 % (17066)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (17071)Instruction limit reached!
% 1.68/0.62 % (17071)------------------------------
% 1.68/0.62 % (17071)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (17071)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62 % (17071)Termination reason: Unknown
% 1.68/0.62 % (17071)Termination phase: Finite model building SAT solving
% 1.68/0.62
% 1.68/0.62 % (17071)Memory used [KB]: 7675
% 1.68/0.62 % (17071)Time elapsed: 0.198 s
% 1.68/0.62 % (17071)Instructions burned: 51 (million)
% 1.68/0.62 % (17071)------------------------------
% 1.68/0.62 % (17071)------------------------------
% 1.68/0.62 % (17064)Instruction limit reached!
% 1.68/0.62 % (17064)------------------------------
% 1.68/0.62 % (17064)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.62 % (17064)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.62 % (17064)Termination reason: Unknown
% 1.68/0.62 % (17064)Termination phase: Saturation
% 1.68/0.62
% 1.68/0.62 % (17064)Memory used [KB]: 6268
% 1.68/0.62 % (17064)Time elapsed: 0.028 s
% 1.68/0.62 % (17064)Instructions burned: 51 (million)
% 1.68/0.62 % (17064)------------------------------
% 1.68/0.62 % (17064)------------------------------
% 2.14/0.63 % (17066)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (17066)Termination reason: Unknown
% 2.14/0.63 % (17066)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (17066)Memory used [KB]: 6524
% 2.14/0.63 % (17066)Time elapsed: 0.193 s
% 2.14/0.63 % (17066)Instructions burned: 52 (million)
% 2.14/0.63 % (17066)------------------------------
% 2.14/0.63 % (17066)------------------------------
% 2.14/0.63 % (17068)Instruction limit reached!
% 2.14/0.63 % (17068)------------------------------
% 2.14/0.63 % (17068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (17068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (17068)Termination reason: Unknown
% 2.14/0.63 % (17068)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (17068)Memory used [KB]: 6268
% 2.14/0.63 % (17068)Time elapsed: 0.028 s
% 2.14/0.63 % (17068)Instructions burned: 52 (million)
% 2.14/0.63 % (17068)------------------------------
% 2.14/0.63 % (17068)------------------------------
% 2.14/0.64 % (17092)Instruction limit reached!
% 2.14/0.64 % (17092)------------------------------
% 2.14/0.64 % (17092)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (17080)Instruction limit reached!
% 2.14/0.64 % (17080)------------------------------
% 2.14/0.64 % (17080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (17081)Instruction limit reached!
% 2.14/0.64 % (17081)------------------------------
% 2.14/0.64 % (17081)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (17081)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (17081)Termination reason: Unknown
% 2.14/0.64 % (17081)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (17081)Memory used [KB]: 1535
% 2.14/0.64 % (17081)Time elapsed: 0.245 s
% 2.14/0.64 % (17081)Instructions burned: 76 (million)
% 2.14/0.64 % (17081)------------------------------
% 2.14/0.64 % (17081)------------------------------
% 2.14/0.65 % (17077)Instruction limit reached!
% 2.14/0.65 % (17077)------------------------------
% 2.14/0.65 % (17077)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.65 % (17077)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (17077)Termination reason: Unknown
% 2.14/0.65 % (17077)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (17077)Memory used [KB]: 7675
% 2.14/0.65 % (17077)Time elapsed: 0.225 s
% 2.14/0.65 % (17077)Instructions burned: 101 (million)
% 2.14/0.65 % (17077)------------------------------
% 2.14/0.65 % (17077)------------------------------
% 2.14/0.65 % (17080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (17080)Termination reason: Unknown
% 2.14/0.65 % (17080)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (17080)Memory used [KB]: 6524
% 2.14/0.65 % (17080)Time elapsed: 0.043 s
% 2.14/0.65 % (17080)Instructions burned: 69 (million)
% 2.14/0.65 % (17080)------------------------------
% 2.14/0.65 % (17080)------------------------------
% 2.14/0.65 TRYING [6]
% 2.14/0.65 % (17092)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.65 % (17092)Termination reason: Unknown
% 2.14/0.65 % (17092)Termination phase: Saturation
% 2.14/0.65
% 2.14/0.65 % (17092)Memory used [KB]: 6396
% 2.14/0.65 % (17092)Time elapsed: 0.034 s
% 2.14/0.65 % (17092)Instructions burned: 70 (million)
% 2.14/0.65 % (17092)------------------------------
% 2.14/0.65 % (17092)------------------------------
% 2.14/0.66 % (17120)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.41/0.68 % (17091)First to succeed.
% 2.41/0.68 % (17085)Instruction limit reached!
% 2.41/0.68 % (17085)------------------------------
% 2.41/0.68 % (17085)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.68 % (17085)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.68 % (17085)Termination reason: Unknown
% 2.41/0.68 % (17085)Termination phase: Saturation
% 2.41/0.68
% 2.41/0.68 % (17085)Memory used [KB]: 1407
% 2.41/0.68 % (17085)Time elapsed: 0.285 s
% 2.41/0.68 % (17085)Instructions burned: 102 (million)
% 2.41/0.68 % (17085)------------------------------
% 2.41/0.68 % (17085)------------------------------
% 2.41/0.68 % (17069)Instruction limit reached!
% 2.41/0.68 % (17069)------------------------------
% 2.41/0.68 % (17069)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.41/0.69 % (17121)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.41/0.70 % (17069)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.41/0.70 % (17069)Termination reason: Unknown
% 2.41/0.70 % (17069)Termination phase: Saturation
% 2.41/0.70
% 2.41/0.70 % (17069)Memory used [KB]: 6012
% 2.41/0.70 % (17069)Time elapsed: 0.195 s
% 2.41/0.70 % (17069)Instructions burned: 49 (million)
% 2.41/0.70 % (17069)------------------------------
% 2.41/0.70 % (17069)------------------------------
% 2.41/0.71 % (17123)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.41/0.71 % (17122)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)
% 2.41/0.72 TRYING [7]
% 2.68/0.73 % (17084)Also succeeded, but the first one will report.
% 2.68/0.73 % (17087)Also succeeded, but the first one will report.
% 2.68/0.73 % (17091)Refutation found. Thanks to Tanya!
% 2.68/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.68/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.68/0.74 % (17091)------------------------------
% 2.68/0.74 % (17091)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.74 % (17091)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.74 % (17091)Termination reason: Refutation
% 2.68/0.74
% 2.68/0.74 % (17091)Memory used [KB]: 6780
% 2.68/0.74 % (17091)Time elapsed: 0.261 s
% 2.68/0.74 % (17091)Instructions burned: 101 (million)
% 2.68/0.74 % (17091)------------------------------
% 2.68/0.74 % (17091)------------------------------
% 2.68/0.74 % (17054)Success in time 0.39 s
%------------------------------------------------------------------------------