TSTP Solution File: ALG136+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG136+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 15:43:00 EDT 2022
% Result : Unsatisfiable 0.16s 0.57s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 99
% Syntax : Number of formulae : 680 ( 55 unt; 0 def)
% Number of atoms : 2028 (1045 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2505 (1157 ~;1080 |; 187 &)
% ( 81 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 66 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 83 ( 81 usr; 82 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2495,plain,
$false,
inference(avatar_sat_refutation,[],[f273,f290,f299,f334,f339,f353,f358,f371,f393,f406,f420,f425,f436,f453,f459,f474,f475,f480,f486,f488,f494,f503,f516,f517,f518,f519,f525,f526,f527,f528,f529,f538,f555,f560,f562,f572,f578,f581,f582,f587,f598,f608,f609,f614,f615,f616,f639,f644,f645,f647,f648,f649,f650,f651,f661,f668,f670,f671,f672,f673,f678,f679,f684,f689,f691,f692,f695,f697,f698,f699,f701,f702,f703,f704,f706,f707,f708,f715,f716,f717,f719,f724,f725,f726,f727,f731,f732,f733,f734,f745,f755,f781,f795,f807,f824,f843,f850,f870,f889,f890,f892,f893,f898,f922,f966,f991,f999,f1003,f1007,f1020,f1035,f1043,f1134,f1137,f1140,f1148,f1149,f1150,f1180,f1232,f1233,f1259,f1262,f1269,f1288,f1321,f1328,f1333,f1338,f1340,f1356,f1438,f1440,f1443,f1445,f1448,f1476,f1482,f1522,f1536,f1551,f1569,f1577,f1590,f1622,f1627,f1629,f1632,f1637,f1702,f1703,f1771,f1782,f1840,f1843,f1849,f1851,f1855,f1878,f1891,f1906,f1947,f1974,f1981,f1986,f2013,f2071,f2080,f2084,f2102,f2104,f2109,f2115,f2119,f2183,f2193,f2207,f2217,f2220,f2228,f2238,f2244,f2263,f2283,f2314,f2331,f2336,f2341,f2342,f2347,f2357,f2366,f2368,f2373,f2378,f2380,f2388,f2400,f2438]) ).
fof(f2438,plain,
( ~ spl0_74
| ~ spl0_23
| spl0_70
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f2433,f711,f584,f346,f605]) ).
fof(f605,plain,
( spl0_74
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).
fof(f346,plain,
( spl0_23
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f584,plain,
( spl0_70
<=> e3 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).
fof(f711,plain,
( spl0_88
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).
fof(f2433,plain,
( e3 != op(e2,e0)
| ~ spl0_23
| spl0_70
| ~ spl0_88 ),
inference(backward_demodulation,[],[f2411,f348]) ).
fof(f348,plain,
( e0 = op(e1,e1)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f2411,plain,
( e3 != op(e2,op(e1,e1))
| spl0_70
| ~ spl0_88 ),
inference(backward_demodulation,[],[f586,f712]) ).
fof(f712,plain,
( e2 = op(e1,op(e1,e1))
| ~ spl0_88 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f586,plain,
( e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_70 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f2400,plain,
( ~ spl0_36
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2399,f540,f403]) ).
fof(f403,plain,
( spl0_36
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).
fof(f540,plain,
( spl0_62
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).
fof(f2399,plain,
( e2 != op(e1,e1)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f220,f542]) ).
fof(f542,plain,
( e2 = op(e1,e0)
| ~ spl0_62 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f220,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e1,e3) != op(e3,e3)
& op(e0,e2) != op(e1,e2)
& op(e1,e1) != op(e1,e3)
& op(e0,e0) != op(e1,e0)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e0) != op(e3,e0)
& op(e1,e1) != op(e3,e1)
& op(e3,e2) != op(e3,e3)
& op(e2,e1) != op(e3,e1)
& op(e0,e0) != op(e0,e1)
& op(e0,e1) != op(e2,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e1,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e1) != op(e1,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e1) != op(e0,e3)
& op(e3,e0) != op(e3,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e0) != op(e1,e1)
& op(e0,e0) != op(e0,e2)
& op(e0,e2) != op(e0,e3)
& op(e0,e0) != op(e2,e0)
& op(e2,e0) != op(e2,e3)
& op(e3,e0) != op(e3,e1)
& op(e0,e1) != op(e1,e1)
& op(e1,e0) != op(e1,e3)
& op(e2,e0) != op(e2,e2)
& op(e1,e0) != op(e2,e0)
& op(e2,e1) != op(e2,e3)
& op(e0,e0) != op(e0,e3)
& op(e2,e2) != op(e2,e3)
& op(e2,e2) != op(e3,e2)
& op(e0,e1) != op(e0,e2)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e2,e1) != op(e2,e2)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e1) != op(e3,e3)
& op(e0,e2) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e1,e2) != op(e1,e3)
& op(e1,e0) != op(e3,e0)
& op(e2,e3) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e1,e2) != op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2388,plain,
( ~ spl0_5
| ~ spl0_62 ),
inference(avatar_split_clause,[],[f2387,f540,f266]) ).
fof(f266,plain,
( spl0_5
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2387,plain,
( e2 != op(e2,e0)
| ~ spl0_62 ),
inference(forward_demodulation,[],[f211,f542]) ).
fof(f211,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2380,plain,
( ~ spl0_7
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f2198,f390,f275]) ).
fof(f275,plain,
( spl0_7
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f390,plain,
( spl0_33
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).
fof(f2198,plain,
( e1 != op(e3,e1)
| ~ spl0_33 ),
inference(forward_demodulation,[],[f200,f391]) ).
fof(f391,plain,
( e1 = op(e3,e3)
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f200,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2378,plain,
( ~ spl0_19
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f2377,f471,f327]) ).
fof(f327,plain,
( spl0_19
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f471,plain,
( spl0_50
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).
fof(f2377,plain,
( e3 != op(e1,e2)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f226,f472]) ).
fof(f472,plain,
( e3 = op(e3,e2)
| ~ spl0_50 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f226,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2373,plain,
( ~ spl0_21
| ~ spl0_10 ),
inference(avatar_split_clause,[],[f2372,f287,f336]) ).
fof(f336,plain,
( spl0_21
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).
fof(f287,plain,
( spl0_10
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f2372,plain,
( e1 != op(e2,e2)
| ~ spl0_10 ),
inference(forward_demodulation,[],[f203,f289]) ).
fof(f289,plain,
( e1 = op(e2,e1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f203,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2368,plain,
( ~ spl0_1
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f2367,f471,f249]) ).
fof(f249,plain,
( spl0_1
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f2367,plain,
( e3 != op(e3,e1)
| ~ spl0_50 ),
inference(forward_demodulation,[],[f194,f472]) ).
fof(f194,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2366,plain,
( ~ spl0_84
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f2166,f390,f665]) ).
fof(f665,plain,
( spl0_84
<=> e1 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).
fof(f2166,plain,
( e1 != op(e3,e2)
| ~ spl0_33 ),
inference(forward_demodulation,[],[f232,f391]) ).
fof(f232,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2357,plain,
( ~ spl0_25
| ~ spl0_17
| spl0_26
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f2269,f390,f360,f318,f355]) ).
fof(f355,plain,
( spl0_25
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).
fof(f318,plain,
( spl0_17
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f360,plain,
( spl0_26
<=> e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f2269,plain,
( e2 != op(e0,e1)
| ~ spl0_17
| spl0_26
| ~ spl0_33 ),
inference(backward_demodulation,[],[f2144,f320]) ).
fof(f320,plain,
( e0 = op(e3,e1)
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f2144,plain,
( e2 != op(op(e3,e1),e1)
| spl0_26
| ~ spl0_33 ),
inference(forward_demodulation,[],[f362,f391]) ).
fof(f362,plain,
( e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_26 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f2347,plain,
( ~ spl0_2
| ~ spl0_21
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f2346]) ).
fof(f2346,plain,
( $false
| ~ spl0_2
| ~ spl0_21
| spl0_85 ),
inference(subsumption_resolution,[],[f2345,f255]) ).
fof(f255,plain,
( e3 = op(e2,e1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f253]) ).
fof(f253,plain,
( spl0_2
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f2345,plain,
( e3 != op(e2,e1)
| ~ spl0_21
| spl0_85 ),
inference(forward_demodulation,[],[f677,f337]) ).
fof(f337,plain,
( e1 = op(e2,e2)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f336]) ).
fof(f677,plain,
( e3 != op(e2,op(e2,e2))
| spl0_85 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl0_85
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).
fof(f2342,plain,
( ~ spl0_3
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2253,f658,f257]) ).
fof(f257,plain,
( spl0_3
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f658,plain,
( spl0_83
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).
fof(f2253,plain,
( e3 != op(e0,e1)
| ~ spl0_83 ),
inference(forward_demodulation,[],[f206,f660]) ).
fof(f660,plain,
( e3 = op(e0,e2)
| ~ spl0_83 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f206,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2341,plain,
( ~ spl0_20
| ~ spl0_36
| spl0_61 ),
inference(avatar_contradiction_clause,[],[f2340]) ).
fof(f2340,plain,
( $false
| ~ spl0_20
| ~ spl0_36
| spl0_61 ),
inference(subsumption_resolution,[],[f2339,f333]) ).
fof(f333,plain,
( e0 = op(e1,e2)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f331,plain,
( spl0_20
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f2339,plain,
( e0 != op(e1,e2)
| ~ spl0_36
| spl0_61 ),
inference(forward_demodulation,[],[f537,f404]) ).
fof(f404,plain,
( e2 = op(e1,e1)
| ~ spl0_36 ),
inference(avatar_component_clause,[],[f403]) ).
fof(f537,plain,
( e0 != op(e1,op(e1,e1))
| spl0_61 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl0_61
<=> e0 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).
fof(f2336,plain,
( ~ spl0_24
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f2335,f318,f350]) ).
fof(f350,plain,
( spl0_24
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f2335,plain,
( e0 != op(e0,e1)
| ~ spl0_17 ),
inference(forward_demodulation,[],[f204,f320]) ).
fof(f204,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2331,plain,
( ~ spl0_25
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f2330]) ).
fof(f2330,plain,
( $false
| ~ spl0_25
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f2008,f404]) ).
fof(f2008,plain,
( e2 != op(e1,e1)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f214,f357]) ).
fof(f357,plain,
( e2 = op(e0,e1)
| ~ spl0_25 ),
inference(avatar_component_clause,[],[f355]) ).
fof(f214,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2314,plain,
( ~ spl0_20
| ~ spl0_36
| spl0_70
| ~ spl0_83 ),
inference(avatar_contradiction_clause,[],[f2313]) ).
fof(f2313,plain,
( $false
| ~ spl0_20
| ~ spl0_36
| spl0_70
| ~ spl0_83 ),
inference(subsumption_resolution,[],[f2312,f660]) ).
fof(f2312,plain,
( e3 != op(e0,e2)
| ~ spl0_20
| ~ spl0_36
| spl0_70 ),
inference(forward_demodulation,[],[f2311,f333]) ).
fof(f2311,plain,
( e3 != op(op(e1,e2),e2)
| ~ spl0_36
| spl0_70 ),
inference(forward_demodulation,[],[f586,f404]) ).
fof(f2283,plain,
( ~ spl0_17
| ~ spl0_33
| spl0_81 ),
inference(avatar_contradiction_clause,[],[f2282]) ).
fof(f2282,plain,
( $false
| ~ spl0_17
| ~ spl0_33
| spl0_81 ),
inference(subsumption_resolution,[],[f2132,f320]) ).
fof(f2132,plain,
( e0 != op(e3,e1)
| ~ spl0_33
| spl0_81 ),
inference(backward_demodulation,[],[f643,f391]) ).
fof(f643,plain,
( e0 != op(e3,op(e3,e3))
| spl0_81 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl0_81
<=> e0 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).
fof(f2263,plain,
( ~ spl0_8
| ~ spl0_25 ),
inference(avatar_contradiction_clause,[],[f2262]) ).
fof(f2262,plain,
( $false
| ~ spl0_8
| ~ spl0_25 ),
inference(subsumption_resolution,[],[f2261,f68]) ).
fof(f68,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e1 != e3
& e0 != e1
& e0 != e2
& e1 != e2
& e0 != e3
& e2 != e3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f2261,plain,
( e1 = e2
| ~ spl0_8
| ~ spl0_25 ),
inference(forward_demodulation,[],[f281,f357]) ).
fof(f281,plain,
( e1 = op(e0,e1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f279]) ).
fof(f279,plain,
( spl0_8
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f2244,plain,
( ~ spl0_40
| ~ spl0_83 ),
inference(avatar_split_clause,[],[f2242,f658,f422]) ).
fof(f422,plain,
( spl0_40
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).
fof(f2242,plain,
( op(e0,e0) != e3
| ~ spl0_83 ),
inference(backward_demodulation,[],[f219,f660]) ).
fof(f219,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f2238,plain,
( ~ spl0_16
| ~ spl0_59 ),
inference(avatar_split_clause,[],[f2237,f521,f314]) ).
fof(f314,plain,
( spl0_16
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f521,plain,
( spl0_59
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).
fof(f2237,plain,
( e2 != op(e3,e1)
| ~ spl0_59 ),
inference(forward_demodulation,[],[f194,f523]) ).
fof(f523,plain,
( e2 = op(e3,e2)
| ~ spl0_59 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f2228,plain,
( ~ spl0_58
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f2226,f403,f513]) ).
fof(f513,plain,
( spl0_58
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).
fof(f2226,plain,
( e2 != op(e1,e3)
| ~ spl0_36 ),
inference(backward_demodulation,[],[f238,f404]) ).
fof(f238,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2220,plain,
( ~ spl0_17
| ~ spl0_2
| spl0_13
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f2034,f336,f301,f253,f318]) ).
fof(f301,plain,
( spl0_13
<=> e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f2034,plain,
( e0 != op(e3,e1)
| ~ spl0_2
| spl0_13
| ~ spl0_21 ),
inference(backward_demodulation,[],[f1976,f255]) ).
fof(f1976,plain,
( e0 != op(op(e2,e1),e1)
| spl0_13
| ~ spl0_21 ),
inference(backward_demodulation,[],[f303,f337]) ).
fof(f303,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_13 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f2217,plain,
( ~ spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f2053,f253,f261]) ).
fof(f261,plain,
( spl0_4
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f2053,plain,
( e3 != op(e1,e1)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f205,f255]) ).
fof(f205,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f2207,plain,
( ~ spl0_5
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2206]) ).
fof(f2206,plain,
( $false
| ~ spl0_5
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2205,f69]) ).
fof(f69,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f2205,plain,
( e0 = e2
| ~ spl0_5
| ~ spl0_87 ),
inference(forward_demodulation,[],[f267,f688]) ).
fof(f688,plain,
( e0 = op(e2,e0)
| ~ spl0_87 ),
inference(avatar_component_clause,[],[f686]) ).
fof(f686,plain,
( spl0_87
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).
fof(f267,plain,
( e2 = op(e2,e0)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f2193,plain,
( ~ spl0_4
| ~ spl0_56
| spl0_60
| ~ spl0_80 ),
inference(avatar_contradiction_clause,[],[f2192]) ).
fof(f2192,plain,
( $false
| ~ spl0_4
| ~ spl0_56
| spl0_60
| ~ spl0_80 ),
inference(subsumption_resolution,[],[f2188,f638]) ).
fof(f638,plain,
( e2 = op(e0,e3)
| ~ spl0_80 ),
inference(avatar_component_clause,[],[f636]) ).
fof(f636,plain,
( spl0_80
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).
fof(f2188,plain,
( e2 != op(e0,e3)
| ~ spl0_4
| ~ spl0_56
| spl0_60 ),
inference(backward_demodulation,[],[f2154,f507]) ).
fof(f507,plain,
( e0 = op(e1,e3)
| ~ spl0_56 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl0_56
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).
fof(f2154,plain,
( e2 != op(op(e1,e3),e3)
| ~ spl0_4
| spl0_60 ),
inference(forward_demodulation,[],[f533,f263]) ).
fof(f263,plain,
( e3 = op(e1,e1)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f533,plain,
( e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_60 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f531,plain,
( spl0_60
<=> e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).
fof(f2183,plain,
( ~ spl0_56
| ~ spl0_4
| spl0_61 ),
inference(avatar_split_clause,[],[f2182,f535,f261,f505]) ).
fof(f2182,plain,
( e0 != op(e1,e3)
| ~ spl0_4
| spl0_61 ),
inference(forward_demodulation,[],[f537,f263]) ).
fof(f2119,plain,
( ~ spl0_58
| ~ spl0_4
| spl0_88 ),
inference(avatar_split_clause,[],[f2118,f711,f261,f513]) ).
fof(f2118,plain,
( e2 != op(e1,e3)
| ~ spl0_4
| spl0_88 ),
inference(backward_demodulation,[],[f713,f263]) ).
fof(f713,plain,
( e2 != op(e1,op(e1,e1))
| spl0_88 ),
inference(avatar_component_clause,[],[f711]) ).
fof(f2115,plain,
( ~ spl0_49
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2114,f636,f467]) ).
fof(f467,plain,
( spl0_49
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).
fof(f2114,plain,
( e2 != op(e3,e3)
| ~ spl0_80 ),
inference(forward_demodulation,[],[f235,f638]) ).
fof(f235,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2109,plain,
( ~ spl0_39
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f2108,f544,f416]) ).
fof(f416,plain,
( spl0_39
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).
fof(f544,plain,
( spl0_63
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).
fof(f2108,plain,
( op(e0,e0) != e1
| ~ spl0_63 ),
inference(forward_demodulation,[],[f237,f546]) ).
fof(f546,plain,
( e1 = op(e1,e0)
| ~ spl0_63 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f237,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f2104,plain,
( ~ spl0_58
| ~ spl0_80 ),
inference(avatar_split_clause,[],[f2103,f636,f513]) ).
fof(f2103,plain,
( e2 != op(e1,e3)
| ~ spl0_80 ),
inference(backward_demodulation,[],[f201,f638]) ).
fof(f201,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2102,plain,
( ~ spl0_80
| ~ spl0_25 ),
inference(avatar_split_clause,[],[f2101,f355,f636]) ).
fof(f2101,plain,
( e2 != op(e0,e3)
| ~ spl0_25 ),
inference(forward_demodulation,[],[f223,f357]) ).
fof(f223,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f2084,plain,
( ~ spl0_64
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1867,f605,f548]) ).
fof(f548,plain,
( spl0_64
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).
fof(f1867,plain,
( e3 != op(e1,e0)
| ~ spl0_74 ),
inference(forward_demodulation,[],[f211,f607]) ).
fof(f607,plain,
( e3 = op(e2,e0)
| ~ spl0_74 ),
inference(avatar_component_clause,[],[f605]) ).
fof(f2080,plain,
( ~ spl0_23
| ~ spl0_34
| ~ spl0_45
| spl0_60 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
fof(f2079,plain,
( $false
| ~ spl0_23
| ~ spl0_34
| ~ spl0_45
| spl0_60 ),
inference(subsumption_resolution,[],[f2078,f448]) ).
fof(f448,plain,
( e2 = op(e3,e0)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl0_45
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).
fof(f2078,plain,
( e2 != op(e3,e0)
| ~ spl0_23
| ~ spl0_34
| spl0_60 ),
inference(backward_demodulation,[],[f2057,f348]) ).
fof(f2057,plain,
( e2 != op(e3,op(e1,e1))
| ~ spl0_34
| spl0_60 ),
inference(forward_demodulation,[],[f533,f396]) ).
fof(f396,plain,
( e3 = op(e1,op(e1,e1))
| ~ spl0_34 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl0_34
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).
fof(f2071,plain,
( ~ spl0_27
| ~ spl0_28
| ~ spl0_45 ),
inference(avatar_contradiction_clause,[],[f2070]) ).
fof(f2070,plain,
( $false
| ~ spl0_27
| ~ spl0_28
| ~ spl0_45 ),
inference(subsumption_resolution,[],[f2069,f68]) ).
fof(f2069,plain,
( e1 = e2
| ~ spl0_27
| ~ spl0_28
| ~ spl0_45 ),
inference(forward_demodulation,[],[f1955,f448]) ).
fof(f1955,plain,
( e1 = op(e3,e0)
| ~ spl0_27
| ~ spl0_28 ),
inference(forward_demodulation,[],[f369,f365]) ).
fof(f365,plain,
( e0 = op(e3,e3)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl0_27
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f369,plain,
( e1 = op(e3,op(e3,e3))
| ~ spl0_28 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f368,plain,
( spl0_28
<=> e1 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).
fof(f2013,plain,
( ~ spl0_74
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f2012]) ).
fof(f2012,plain,
( $false
| ~ spl0_74
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f2011,f67]) ).
fof(f67,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f2011,plain,
( e0 = e3
| ~ spl0_74
| ~ spl0_87 ),
inference(forward_demodulation,[],[f688,f607]) ).
fof(f1986,plain,
( ~ spl0_40
| ~ spl0_86 ),
inference(avatar_split_clause,[],[f1985,f681,f422]) ).
fof(f681,plain,
( spl0_86
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).
fof(f1985,plain,
( op(e0,e0) != e3
| ~ spl0_86 ),
inference(forward_demodulation,[],[f209,f683]) ).
fof(f683,plain,
( e3 = op(e0,e3)
| ~ spl0_86 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f209,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1981,plain,
( ~ spl0_38
| ~ spl0_21 ),
inference(avatar_split_clause,[],[f1980,f336,f412]) ).
fof(f412,plain,
( spl0_38
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).
fof(f1980,plain,
( e1 != op(e0,e2)
| ~ spl0_21 ),
inference(backward_demodulation,[],[f224,f337]) ).
fof(f224,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1974,plain,
( ~ spl0_40
| ~ spl0_74 ),
inference(avatar_split_clause,[],[f1911,f605,f422]) ).
fof(f1911,plain,
( op(e0,e0) != e3
| ~ spl0_74 ),
inference(forward_demodulation,[],[f217,f607]) ).
fof(f217,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1947,plain,
( ~ spl0_6
| ~ spl0_46
| spl0_68
| ~ spl0_74 ),
inference(avatar_contradiction_clause,[],[f1946]) ).
fof(f1946,plain,
( $false
| ~ spl0_6
| ~ spl0_46
| spl0_68
| ~ spl0_74 ),
inference(subsumption_resolution,[],[f1945,f452]) ).
fof(f452,plain,
( e1 = op(e3,e0)
| ~ spl0_46 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f450,plain,
( spl0_46
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).
fof(f1945,plain,
( e1 != op(e3,e0)
| ~ spl0_6
| spl0_68
| ~ spl0_74 ),
inference(forward_demodulation,[],[f1944,f607]) ).
fof(f1944,plain,
( e1 != op(op(e2,e0),e0)
| ~ spl0_6
| spl0_68 ),
inference(forward_demodulation,[],[f570,f271]) ).
fof(f271,plain,
( e0 = op(e2,e2)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f270]) ).
fof(f270,plain,
( spl0_6
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f570,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_68 ),
inference(avatar_component_clause,[],[f568]) ).
fof(f568,plain,
( spl0_68
<=> e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).
fof(f1906,plain,
( ~ spl0_6
| ~ spl0_74
| spl0_85 ),
inference(avatar_contradiction_clause,[],[f1905]) ).
fof(f1905,plain,
( $false
| ~ spl0_6
| ~ spl0_74
| spl0_85 ),
inference(subsumption_resolution,[],[f1895,f607]) ).
fof(f1895,plain,
( e3 != op(e2,e0)
| ~ spl0_6
| spl0_85 ),
inference(backward_demodulation,[],[f677,f271]) ).
fof(f1891,plain,
( ~ spl0_24
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1794,f342,f350]) ).
fof(f342,plain,
( spl0_22
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).
fof(f1794,plain,
( e0 != op(e0,e1)
| ~ spl0_22 ),
inference(forward_demodulation,[],[f229,f344]) ).
fof(f344,plain,
( e0 = op(e2,e1)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f229,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1878,plain,
( ~ spl0_84
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1875,f450,f665]) ).
fof(f1875,plain,
( e1 != op(e3,e2)
| ~ spl0_46 ),
inference(backward_demodulation,[],[f222,f452]) ).
fof(f222,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1855,plain,
( ~ spl0_87
| ~ spl0_22 ),
inference(avatar_split_clause,[],[f1854,f342,f686]) ).
fof(f1854,plain,
( e0 != op(e2,e0)
| ~ spl0_22 ),
inference(forward_demodulation,[],[f221,f344]) ).
fof(f221,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1851,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f1850,f249,f257]) ).
fof(f1850,plain,
( e3 != op(e0,e1)
| ~ spl0_1 ),
inference(forward_demodulation,[],[f204,f251]) ).
fof(f251,plain,
( e3 = op(e3,e1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f249]) ).
fof(f1849,plain,
( ~ spl0_10
| ~ spl0_22 ),
inference(avatar_contradiction_clause,[],[f1848]) ).
fof(f1848,plain,
( $false
| ~ spl0_10
| ~ spl0_22 ),
inference(subsumption_resolution,[],[f1847,f70]) ).
fof(f70,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f1847,plain,
( e0 = e1
| ~ spl0_10
| ~ spl0_22 ),
inference(forward_demodulation,[],[f289,f344]) ).
fof(f1843,plain,
( ~ spl0_33
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1842,f462,f390]) ).
fof(f462,plain,
( spl0_48
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).
fof(f1842,plain,
( e1 != op(e3,e3)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f240,f464]) ).
fof(f464,plain,
( e1 = op(e1,e3)
| ~ spl0_48 ),
inference(avatar_component_clause,[],[f462]) ).
fof(f240,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1840,plain,
( ~ spl0_82
| ~ spl0_19
| spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1798,f403,f399,f327,f653]) ).
fof(f653,plain,
( spl0_82
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).
fof(f399,plain,
( spl0_35
<=> e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).
fof(f1798,plain,
( e0 != op(e3,e2)
| ~ spl0_19
| spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f1797,f329]) ).
fof(f329,plain,
( e3 = op(e1,e2)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f327]) ).
fof(f1797,plain,
( e0 != op(op(e1,e2),e2)
| spl0_35
| ~ spl0_36 ),
inference(forward_demodulation,[],[f401,f404]) ).
fof(f401,plain,
( e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| spl0_35 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f1782,plain,
( ~ spl0_8
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f1781,f416,f279]) ).
fof(f1781,plain,
( e1 != op(e0,e1)
| ~ spl0_39 ),
inference(forward_demodulation,[],[f230,f418]) ).
fof(f418,plain,
( op(e0,e0) = e1
| ~ spl0_39 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f230,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1771,plain,
( ~ spl0_80
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1770,f632,f636]) ).
fof(f632,plain,
( spl0_79
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).
fof(f1770,plain,
( e2 != op(e0,e3)
| ~ spl0_79 ),
inference(forward_demodulation,[],[f218,f634]) ).
fof(f634,plain,
( e2 = op(e0,e2)
| ~ spl0_79 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f218,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1703,plain,
( ~ spl0_53
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f1698,f403,f491]) ).
fof(f491,plain,
( spl0_53
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).
fof(f1698,plain,
( e2 != op(e2,e1)
| ~ spl0_36 ),
inference(backward_demodulation,[],[f205,f404]) ).
fof(f1702,plain,
( ~ spl0_19
| spl0_34
| ~ spl0_36 ),
inference(avatar_contradiction_clause,[],[f1701]) ).
fof(f1701,plain,
( $false
| ~ spl0_19
| spl0_34
| ~ spl0_36 ),
inference(subsumption_resolution,[],[f1697,f329]) ).
fof(f1697,plain,
( e3 != op(e1,e2)
| spl0_34
| ~ spl0_36 ),
inference(backward_demodulation,[],[f397,f404]) ).
fof(f397,plain,
( e3 != op(e1,op(e1,e1))
| spl0_34 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f1637,plain,
( ~ spl0_63
| ~ spl0_65 ),
inference(avatar_contradiction_clause,[],[f1636]) ).
fof(f1636,plain,
( $false
| ~ spl0_63
| ~ spl0_65 ),
inference(subsumption_resolution,[],[f1635,f70]) ).
fof(f1635,plain,
( e0 = e1
| ~ spl0_63
| ~ spl0_65 ),
inference(forward_demodulation,[],[f554,f546]) ).
fof(f554,plain,
( e0 = op(e1,e0)
| ~ spl0_65 ),
inference(avatar_component_clause,[],[f552]) ).
fof(f552,plain,
( spl0_65
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).
fof(f1632,plain,
( ~ spl0_30
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f1631,f513,f377]) ).
fof(f377,plain,
( spl0_30
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).
fof(f1631,plain,
( e2 != op(e2,e3)
| ~ spl0_58 ),
inference(forward_demodulation,[],[f236,f515]) ).
fof(f515,plain,
( e2 = op(e1,e3)
| ~ spl0_58 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f236,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1629,plain,
( ~ spl0_11
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f1628,f544,f292]) ).
fof(f292,plain,
( spl0_11
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f1628,plain,
( e1 != op(e1,e2)
| ~ spl0_63 ),
inference(forward_demodulation,[],[f227,f546]) ).
fof(f227,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1627,plain,
( ~ spl0_49
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f1626]) ).
fof(f1626,plain,
( $false
| ~ spl0_49
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f1370,f515]) ).
fof(f1370,plain,
( e2 != op(e1,e3)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f240,f468]) ).
fof(f468,plain,
( e2 = op(e3,e3)
| ~ spl0_49 ),
inference(avatar_component_clause,[],[f467]) ).
fof(f1622,plain,
( ~ spl0_40
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1614,f438,f422]) ).
fof(f438,plain,
( spl0_43
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).
fof(f1614,plain,
( op(e0,e0) != e3
| ~ spl0_43 ),
inference(forward_demodulation,[],[f234,f440]) ).
fof(f440,plain,
( e3 = op(e3,e0)
| ~ spl0_43 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f234,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1590,plain,
( ~ spl0_20
| ~ spl0_49
| spl0_51
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1589]) ).
fof(f1589,plain,
( $false
| ~ spl0_20
| ~ spl0_49
| spl0_51
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f1588,f333]) ).
fof(f1588,plain,
( e0 != op(e1,e2)
| ~ spl0_49
| spl0_51
| ~ spl0_84 ),
inference(forward_demodulation,[],[f1289,f667]) ).
fof(f667,plain,
( e1 = op(e3,e2)
| ~ spl0_84 ),
inference(avatar_component_clause,[],[f665]) ).
fof(f1289,plain,
( e0 != op(op(e3,e2),e2)
| ~ spl0_49
| spl0_51 ),
inference(forward_demodulation,[],[f479,f468]) ).
fof(f479,plain,
( e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_51 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f477,plain,
( spl0_51
<=> e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).
fof(f1577,plain,
( ~ spl0_43
| ~ spl0_44 ),
inference(avatar_contradiction_clause,[],[f1576]) ).
fof(f1576,plain,
( $false
| ~ spl0_43
| ~ spl0_44 ),
inference(subsumption_resolution,[],[f1575,f67]) ).
fof(f1575,plain,
( e0 = e3
| ~ spl0_43
| ~ spl0_44 ),
inference(forward_demodulation,[],[f444,f440]) ).
fof(f444,plain,
( e0 = op(e3,e0)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f442,plain,
( spl0_44
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).
fof(f1569,plain,
( ~ spl0_59
| ~ spl0_79 ),
inference(avatar_split_clause,[],[f1568,f632,f521]) ).
fof(f1568,plain,
( e2 != op(e3,e2)
| ~ spl0_79 ),
inference(forward_demodulation,[],[f199,f634]) ).
fof(f199,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1551,plain,
( ~ spl0_82
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f1548,f331,f653]) ).
fof(f1548,plain,
( e0 != op(e3,e2)
| ~ spl0_20 ),
inference(backward_demodulation,[],[f226,f333]) ).
fof(f1536,plain,
( ~ spl0_19
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1535,f305,f327]) ).
fof(f305,plain,
( spl0_14
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f1535,plain,
( e3 != op(e1,e2)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f193,f306]) ).
fof(f306,plain,
( e3 = op(e2,e2)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f193,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1522,plain,
( ~ spl0_49
| spl0_81
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f1521]) ).
fof(f1521,plain,
( $false
| ~ spl0_49
| spl0_81
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f1520,f655]) ).
fof(f655,plain,
( e0 = op(e3,e2)
| ~ spl0_82 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f1520,plain,
( e0 != op(e3,e2)
| ~ spl0_49
| spl0_81 ),
inference(forward_demodulation,[],[f643,f468]) ).
fof(f1482,plain,
( ~ spl0_38
| ~ spl0_49
| spl0_71
| ~ spl0_82 ),
inference(avatar_contradiction_clause,[],[f1481]) ).
fof(f1481,plain,
( $false
| ~ spl0_38
| ~ spl0_49
| spl0_71
| ~ spl0_82 ),
inference(subsumption_resolution,[],[f1478,f414]) ).
fof(f414,plain,
( e1 = op(e0,e2)
| ~ spl0_38 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f1478,plain,
( e1 != op(e0,e2)
| ~ spl0_49
| spl0_71
| ~ spl0_82 ),
inference(backward_demodulation,[],[f1406,f655]) ).
fof(f1406,plain,
( e1 != op(op(e3,e2),e2)
| ~ spl0_49
| spl0_71 ),
inference(forward_demodulation,[],[f591,f468]) ).
fof(f591,plain,
( e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| spl0_71 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl0_71
<=> e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).
fof(f1476,plain,
( ~ spl0_50
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f1475,f305,f471]) ).
fof(f1475,plain,
( e3 != op(e3,e2)
| ~ spl0_14 ),
inference(forward_demodulation,[],[f207,f306]) ).
fof(f207,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1448,plain,
( ~ spl0_50
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f1447,f438,f471]) ).
fof(f1447,plain,
( e3 != op(e3,e2)
| ~ spl0_43 ),
inference(backward_demodulation,[],[f222,f440]) ).
fof(f1445,plain,
( ~ spl0_59
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1444,f467,f521]) ).
fof(f1444,plain,
( e2 != op(e3,e2)
| ~ spl0_49 ),
inference(forward_demodulation,[],[f232,f468]) ).
fof(f1443,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1442,f261,f249]) ).
fof(f1442,plain,
( e3 != op(e3,e1)
| ~ spl0_4 ),
inference(forward_demodulation,[],[f233,f263]) ).
fof(f233,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1440,plain,
( ~ spl0_59
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1439,f323,f521]) ).
fof(f323,plain,
( spl0_18
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f1439,plain,
( e2 != op(e3,e2)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f226,f325]) ).
fof(f325,plain,
( e2 = op(e1,e2)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f323]) ).
fof(f1438,plain,
( ~ spl0_84
| spl0_28
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f1415,f467,f368,f665]) ).
fof(f1415,plain,
( e1 != op(e3,e2)
| spl0_28
| ~ spl0_49 ),
inference(forward_demodulation,[],[f370,f468]) ).
fof(f370,plain,
( e1 != op(e3,op(e3,e3))
| spl0_28 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f1356,plain,
( ~ spl0_44
| ~ spl0_87 ),
inference(avatar_contradiction_clause,[],[f1355]) ).
fof(f1355,plain,
( $false
| ~ spl0_44
| ~ spl0_87 ),
inference(subsumption_resolution,[],[f1293,f688]) ).
fof(f1293,plain,
( e0 != op(e2,e0)
| ~ spl0_44 ),
inference(backward_demodulation,[],[f228,f444]) ).
fof(f228,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1340,plain,
( ~ spl0_36
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f1339,f323,f403]) ).
fof(f1339,plain,
( e2 != op(e1,e1)
| ~ spl0_18 ),
inference(forward_demodulation,[],[f225,f325]) ).
fof(f225,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1338,plain,
( ~ spl0_21
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1296,f665,f336]) ).
fof(f1296,plain,
( e1 != op(e2,e2)
| ~ spl0_84 ),
inference(forward_demodulation,[],[f207,f667]) ).
fof(f1333,plain,
( ~ spl0_8
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f1332]) ).
fof(f1332,plain,
( $false
| ~ spl0_8
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f1331,f70]) ).
fof(f1331,plain,
( e0 = e1
| ~ spl0_8
| ~ spl0_24 ),
inference(forward_demodulation,[],[f352,f281]) ).
fof(f352,plain,
( e0 = op(e0,e1)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f1328,plain,
( ~ spl0_82
| ~ spl0_84 ),
inference(avatar_contradiction_clause,[],[f1327]) ).
fof(f1327,plain,
( $false
| ~ spl0_82
| ~ spl0_84 ),
inference(subsumption_resolution,[],[f1326,f70]) ).
fof(f1326,plain,
( e0 = e1
| ~ spl0_82
| ~ spl0_84 ),
inference(forward_demodulation,[],[f655,f667]) ).
fof(f1321,plain,
( ~ spl0_79
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f1320,f296,f632]) ).
fof(f296,plain,
( spl0_12
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f1320,plain,
( e2 != op(e0,e2)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f219,f297]) ).
fof(f297,plain,
( op(e0,e0) = e2
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f1288,plain,
( ~ spl0_11
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f1287,f462,f292]) ).
fof(f1287,plain,
( e1 != op(e1,e2)
| ~ spl0_48 ),
inference(forward_demodulation,[],[f197,f464]) ).
fof(f197,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1269,plain,
( ~ spl0_11
| ~ spl0_84 ),
inference(avatar_split_clause,[],[f1265,f665,f292]) ).
fof(f1265,plain,
( e1 != op(e1,e2)
| ~ spl0_84 ),
inference(backward_demodulation,[],[f226,f667]) ).
fof(f1262,plain,
( ~ spl0_87
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f1261,f270,f686]) ).
fof(f1261,plain,
( e0 != op(e2,e0)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f212,f271]) ).
fof(f212,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1259,plain,
( ~ spl0_27
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1258,f611,f364]) ).
fof(f611,plain,
( spl0_75
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).
fof(f1258,plain,
( e0 != op(e3,e3)
| ~ spl0_75 ),
inference(forward_demodulation,[],[f235,f613]) ).
fof(f613,plain,
( e0 = op(e0,e3)
| ~ spl0_75 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f1233,plain,
( ~ spl0_47
| ~ spl0_6
| spl0_15 ),
inference(avatar_split_clause,[],[f1200,f309,f270,f455]) ).
fof(f455,plain,
( spl0_47
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).
fof(f309,plain,
( spl0_15
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f1200,plain,
( e1 != op(e2,e0)
| ~ spl0_6
| spl0_15 ),
inference(backward_demodulation,[],[f311,f271]) ).
fof(f311,plain,
( e1 != op(e2,op(e2,e2))
| spl0_15 ),
inference(avatar_component_clause,[],[f309]) ).
fof(f1232,plain,
( ~ spl0_19
| ~ spl0_64 ),
inference(avatar_split_clause,[],[f1231,f548,f327]) ).
fof(f1231,plain,
( e3 != op(e1,e2)
| ~ spl0_64 ),
inference(forward_demodulation,[],[f227,f550]) ).
fof(f550,plain,
( e3 = op(e1,e0)
| ~ spl0_64 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1180,plain,
( ~ spl0_56
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f1178,f611,f505]) ).
fof(f1178,plain,
( e0 != op(e1,e3)
| ~ spl0_75 ),
inference(backward_demodulation,[],[f201,f613]) ).
fof(f1150,plain,
( ~ spl0_39
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1102,f450,f416]) ).
fof(f1102,plain,
( op(e0,e0) != e1
| ~ spl0_46 ),
inference(forward_demodulation,[],[f234,f452]) ).
fof(f1149,plain,
( ~ spl0_56
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f1079,f364,f505]) ).
fof(f1079,plain,
( e0 != op(e1,e3)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f240,f365]) ).
fof(f1148,plain,
( ~ spl0_20
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1147,f346,f331]) ).
fof(f1147,plain,
( e0 != op(e1,e2)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f225,f348]) ).
fof(f1140,plain,
( ~ spl0_65
| ~ spl0_87 ),
inference(avatar_split_clause,[],[f1100,f686,f552]) ).
fof(f1100,plain,
( e0 != op(e1,e0)
| ~ spl0_87 ),
inference(forward_demodulation,[],[f211,f688]) ).
fof(f1137,plain,
( ~ spl0_56
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f1136,f346,f505]) ).
fof(f1136,plain,
( e0 != op(e1,e3)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f238,f348]) ).
fof(f1134,plain,
( ~ spl0_62
| spl0_26
| ~ spl0_27
| ~ spl0_46 ),
inference(avatar_split_clause,[],[f1111,f450,f364,f360,f540]) ).
fof(f1111,plain,
( e2 != op(e1,e0)
| spl0_26
| ~ spl0_27
| ~ spl0_46 ),
inference(forward_demodulation,[],[f1110,f452]) ).
fof(f1110,plain,
( e2 != op(op(e3,e0),e0)
| spl0_26
| ~ spl0_27 ),
inference(forward_demodulation,[],[f362,f365]) ).
fof(f1043,plain,
( ~ spl0_64
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1042,f509,f548]) ).
fof(f509,plain,
( spl0_57
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).
fof(f1042,plain,
( e3 != op(e1,e0)
| ~ spl0_57 ),
inference(forward_demodulation,[],[f213,f511]) ).
fof(f511,plain,
( e3 = op(e1,e3)
| ~ spl0_57 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f213,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1035,plain,
( spl0_62
| ~ spl0_23
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f1034,f711,f346,f540]) ).
fof(f1034,plain,
( e2 = op(e1,e0)
| ~ spl0_23
| ~ spl0_88 ),
inference(forward_demodulation,[],[f712,f348]) ).
fof(f1020,plain,
( ~ spl0_29
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f933,f364,f373]) ).
fof(f373,plain,
( spl0_29
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).
fof(f933,plain,
( e0 != op(e2,e3)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f195,f365]) ).
fof(f195,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1007,plain,
( ~ spl0_32
| ~ spl0_57 ),
inference(avatar_split_clause,[],[f1005,f509,f385]) ).
fof(f385,plain,
( spl0_32
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).
fof(f1005,plain,
( e3 != op(e2,e3)
| ~ spl0_57 ),
inference(backward_demodulation,[],[f236,f511]) ).
fof(f1003,plain,
( ~ spl0_64
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f1002,f422,f548]) ).
fof(f1002,plain,
( e3 != op(e1,e0)
| ~ spl0_40 ),
inference(forward_demodulation,[],[f237,f423]) ).
fof(f423,plain,
( op(e0,e0) = e3
| ~ spl0_40 ),
inference(avatar_component_clause,[],[f422]) ).
fof(f999,plain,
( ~ spl0_24
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f918,f346,f350]) ).
fof(f918,plain,
( e0 != op(e0,e1)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f214,f348]) ).
fof(f991,plain,
( ~ spl0_46
| ~ spl0_27
| spl0_28 ),
inference(avatar_split_clause,[],[f873,f368,f364,f450]) ).
fof(f873,plain,
( e1 != op(e3,e0)
| ~ spl0_27
| spl0_28 ),
inference(forward_demodulation,[],[f370,f365]) ).
fof(f966,plain,
( ~ spl0_37
| ~ spl0_40
| spl0_55 ),
inference(avatar_contradiction_clause,[],[f965]) ).
fof(f965,plain,
( $false
| ~ spl0_37
| ~ spl0_40
| spl0_55 ),
inference(subsumption_resolution,[],[f964,f410]) ).
fof(f410,plain,
( e1 = op(e0,e3)
| ~ spl0_37 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl0_37
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).
fof(f964,plain,
( e1 != op(e0,e3)
| ~ spl0_40
| spl0_55 ),
inference(forward_demodulation,[],[f502,f423]) ).
fof(f502,plain,
( e1 != op(e0,op(e0,e0))
| spl0_55 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f500,plain,
( spl0_55
<=> e1 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).
fof(f922,plain,
( ~ spl0_1
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f921,plain,
( $false
| ~ spl0_1
| ~ spl0_7 ),
inference(subsumption_resolution,[],[f920,f71]) ).
fof(f71,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f920,plain,
( e1 = e3
| ~ spl0_1
| ~ spl0_7 ),
inference(forward_demodulation,[],[f277,f251]) ).
fof(f277,plain,
( e1 = op(e3,e1)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f898,plain,
( ~ spl0_52
| ~ spl0_79 ),
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f897,plain,
( $false
| ~ spl0_52
| ~ spl0_79 ),
inference(subsumption_resolution,[],[f896,f69]) ).
fof(f896,plain,
( e0 = e2
| ~ spl0_52
| ~ spl0_79 ),
inference(forward_demodulation,[],[f484,f634]) ).
fof(f484,plain,
( e0 = op(e0,e2)
| ~ spl0_52 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f483,plain,
( spl0_52
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).
fof(f893,plain,
( ~ spl0_62
| ~ spl0_23
| spl0_88 ),
inference(avatar_split_clause,[],[f834,f711,f346,f540]) ).
fof(f834,plain,
( e2 != op(e1,e0)
| ~ spl0_23
| spl0_88 ),
inference(backward_demodulation,[],[f713,f348]) ).
fof(f892,plain,
( ~ spl0_82
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f891,f364,f653]) ).
fof(f891,plain,
( e0 != op(e3,e2)
| ~ spl0_27 ),
inference(forward_demodulation,[],[f232,f365]) ).
fof(f890,plain,
( ~ spl0_64
| ~ spl0_23
| spl0_34 ),
inference(avatar_split_clause,[],[f832,f395,f346,f548]) ).
fof(f832,plain,
( e3 != op(e1,e0)
| ~ spl0_23
| spl0_34 ),
inference(backward_demodulation,[],[f397,f348]) ).
fof(f889,plain,
( ~ spl0_65
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f888,f346,f552]) ).
fof(f888,plain,
( e0 != op(e1,e0)
| ~ spl0_23 ),
inference(forward_demodulation,[],[f220,f348]) ).
fof(f870,plain,
( ~ spl0_37
| ~ spl0_40
| spl0_54
| ~ spl0_58 ),
inference(avatar_contradiction_clause,[],[f869]) ).
fof(f869,plain,
( $false
| ~ spl0_37
| ~ spl0_40
| spl0_54
| ~ spl0_58 ),
inference(subsumption_resolution,[],[f868,f515]) ).
fof(f868,plain,
( e2 != op(e1,e3)
| ~ spl0_37
| ~ spl0_40
| spl0_54 ),
inference(forward_demodulation,[],[f865,f410]) ).
fof(f865,plain,
( e2 != op(op(e0,e3),e3)
| ~ spl0_40
| spl0_54 ),
inference(backward_demodulation,[],[f498,f423]) ).
fof(f498,plain,
( e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| spl0_54 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f496,plain,
( spl0_54
<=> e2 = op(op(e0,op(e0,e0)),op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).
fof(f850,plain,
( ~ spl0_37
| ~ spl0_38 ),
inference(avatar_split_clause,[],[f848,f412,f408]) ).
fof(f848,plain,
( e1 != op(e0,e3)
| ~ spl0_38 ),
inference(backward_demodulation,[],[f218,f414]) ).
fof(f843,plain,
( ~ spl0_11
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f842]) ).
fof(f842,plain,
( $false
| ~ spl0_11
| ~ spl0_18 ),
inference(subsumption_resolution,[],[f841,f68]) ).
fof(f841,plain,
( e1 = e2
| ~ spl0_11
| ~ spl0_18 ),
inference(forward_demodulation,[],[f293,f325]) ).
fof(f293,plain,
( e1 = op(e1,e2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f824,plain,
( ~ spl0_64
| ~ spl0_6
| ~ spl0_47
| spl0_69 ),
inference(avatar_split_clause,[],[f823,f574,f455,f270,f548]) ).
fof(f574,plain,
( spl0_69
<=> e3 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).
fof(f823,plain,
( e3 != op(e1,e0)
| ~ spl0_6
| ~ spl0_47
| spl0_69 ),
inference(forward_demodulation,[],[f818,f457]) ).
fof(f457,plain,
( e1 = op(e2,e0)
| ~ spl0_47 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f818,plain,
( e3 != op(op(e2,e0),e0)
| ~ spl0_6
| spl0_69 ),
inference(backward_demodulation,[],[f576,f271]) ).
fof(f576,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| spl0_69 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f807,plain,
( ~ spl0_62
| ~ spl0_58 ),
inference(avatar_split_clause,[],[f801,f513,f540]) ).
fof(f801,plain,
( e2 != op(e1,e0)
| ~ spl0_58 ),
inference(backward_demodulation,[],[f213,f515]) ).
fof(f795,plain,
( ~ spl0_27
| ~ spl0_44 ),
inference(avatar_split_clause,[],[f791,f442,f364]) ).
fof(f791,plain,
( e0 != op(e3,e3)
| ~ spl0_44 ),
inference(backward_demodulation,[],[f198,f444]) ).
fof(f198,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f781,plain,
( ~ spl0_2
| ~ spl0_53 ),
inference(avatar_contradiction_clause,[],[f780]) ).
fof(f780,plain,
( $false
| ~ spl0_2
| ~ spl0_53 ),
inference(subsumption_resolution,[],[f779,f66]) ).
fof(f66,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f779,plain,
( e2 = e3
| ~ spl0_2
| ~ spl0_53 ),
inference(forward_demodulation,[],[f255,f493]) ).
fof(f493,plain,
( e2 = op(e2,e1)
| ~ spl0_53 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f755,plain,
( ~ spl0_10
| ~ spl0_47 ),
inference(avatar_split_clause,[],[f752,f455,f287]) ).
fof(f752,plain,
( e1 != op(e2,e1)
| ~ spl0_47 ),
inference(backward_demodulation,[],[f221,f457]) ).
fof(f745,plain,
( ~ spl0_62
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f736,f323,f540]) ).
fof(f736,plain,
( e2 != op(e1,e0)
| ~ spl0_18 ),
inference(backward_demodulation,[],[f227,f325]) ).
fof(f734,plain,
( ~ spl0_70
| ~ spl0_23
| ~ spl0_88 ),
inference(avatar_split_clause,[],[f172,f711,f346,f584]) ).
fof(f172,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f733,plain,
( spl0_2
| spl0_32
| spl0_74
| spl0_14 ),
inference(avatar_split_clause,[],[f98,f305,f605,f385,f253]) ).
fof(f98,plain,
( e3 = op(e2,e2)
| e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e0 = op(e2,e0)
| e0 = op(e2,e3)
| e0 = op(e2,e1)
| e0 = op(e2,e2) )
& ( e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| op(e0,e0) = e2 )
& ( e1 = op(e0,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1) )
& ( e2 = op(e1,e2)
| e2 = op(e1,e0)
| e2 = op(e1,e3)
| e2 = op(e1,e1) )
& ( e2 = op(e1,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e0)
| e2 = op(e2,e1)
| e2 = op(e2,e2) )
& ( e3 = op(e2,e0)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e0) )
& ( e2 = op(e2,e0)
| e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e3 = op(e3,e0)
| op(e0,e0) = e3
| e3 = op(e2,e0)
| e3 = op(e1,e0) )
& ( e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e2,e2)
| e3 = op(e0,e2) )
& ( e0 = op(e3,e0)
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e2) )
& ( e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e2) )
& ( e0 = op(e1,e0)
| e0 = op(e1,e1)
| e0 = op(e1,e3)
| e0 = op(e1,e2) )
& ( op(e0,e0) = e1
| e1 = op(e0,e1)
| e1 = op(e0,e2)
| e1 = op(e0,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e0,e3)
| e1 = op(e1,e3)
| e1 = op(e2,e3) )
& ( e0 = op(e1,e3)
| e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3) )
& ( op(e0,e0) = e1
| e1 = op(e2,e0)
| e1 = op(e3,e0)
| e1 = op(e1,e0) )
& ( e3 = op(e0,e1)
| e3 = op(e0,e2)
| op(e0,e0) = e3
| e3 = op(e0,e3) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e3,e3)
| e2 = op(e0,e3)
| e2 = op(e2,e3) )
& ( e0 = op(e0,e1)
| e0 = op(e3,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e2)
| e1 = op(e1,e0) )
& ( e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e2) )
& ( e3 = op(e1,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e0,e1) )
& ( e1 = op(e2,e0)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e2) )
& ( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e2,e2) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e1,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e3,e2)
| e1 = op(e0,e2)
| e1 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f732,plain,
( ~ spl0_36
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f164,f471,f403]) ).
fof(f164,plain,
( e3 != op(e3,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( ( e3 != op(e3,e3)
| e2 != op(e2,e3) )
& ( e1 != op(e1,e3)
| e3 != op(e2,e2) )
& ( e2 != op(e2,e2)
| op(e0,e0) != e2 )
& ( e0 != op(e0,e2)
| op(e0,e0) != e2 )
& ( e3 != op(e3,e3)
| op(e0,e0) != e3 )
& ( e3 != op(e3,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e0,e1)
| e1 != op(e3,e3) )
& ( e0 != op(e2,e2)
| e1 != op(e1,e0) )
& ( op(e0,e0) != e1
| e3 != op(e3,e1) )
& ( e1 != op(e1,e2)
| e2 != op(e1,e1) )
& ( e0 != op(e0,e2)
| e2 != op(e1,e1) )
& ( e3 != op(e3,e3)
| e0 != op(e0,e3) )
& ( e1 != op(e1,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e2,e2)
| e0 != op(e0,e3) )
& ( e0 != op(e0,e0)
| e0 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e3,e3) )
& ( e1 != op(e2,e2)
| e3 != op(e3,e1) )
& ( e1 != op(e1,e1)
| e2 != op(e2,e1) )
& ( e2 != op(e3,e3)
| e0 != op(e0,e2) )
& ( e2 != op(e1,e1)
| e2 != op(e2,e2) )
& ( e1 != op(e1,e2)
| e2 != op(e2,e2) )
& ( op(e0,e0) != e3
| e1 != op(e1,e3) )
& ( e3 != op(e1,e1)
| e0 != op(e0,e3) )
& ( e3 != op(e3,e0)
| e0 != op(e3,e3) )
& ( e1 != op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 != op(e2,e2)
| e3 != op(e3,e0) )
& ( op(e0,e0) != e1
| e0 != op(e0,e1) )
& ( e2 != op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 != op(e2,e3)
| op(e0,e0) != e3 )
& ( e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e1 != op(e2,e2)
| e0 != op(e0,e1) )
& ( e3 != op(e2,e2)
| e3 != op(e3,e3) )
& ( e2 != op(e2,e1)
| op(e0,e0) != e1 )
& ( e3 != op(e3,e2)
| op(e0,e0) != e2 )
& ( e1 != op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 != op(e1,e1)
| e1 != op(e3,e3) )
& ( e3 != op(e3,e2)
| e2 != op(e2,e2) )
& ( e2 != op(e2,e2)
| e2 != op(e2,e2) )
& ( e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( e3 != op(e3,e0)
| e0 != op(e1,e1) )
& ( e1 != op(e2,e2)
| e2 != op(e2,e1) )
& ( e0 != op(e3,e3)
| e0 != op(e0,e0) )
& ( op(e0,e0) != e2
| e1 != op(e1,e2) )
& ( e0 != op(e1,e1)
| e2 != op(e2,e0) )
& ( e3 != op(e3,e0)
| e0 != op(e0,e0) )
& ( e2 != op(e2,e3)
| e3 != op(e1,e1) )
& ( e0 != op(e0,e0)
| e1 != op(e1,e0) )
& ( e0 != op(e3,e3)
| e1 != op(e1,e0) )
& ( e2 != op(e2,e0)
| e0 != op(e3,e3) )
& ( e0 != op(e0,e3)
| op(e0,e0) != e3 )
& ( e3 != op(e3,e2)
| e2 != op(e3,e3) )
& ( e2 != op(e3,e3)
| e1 != op(e1,e2) )
& ( e3 != op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 != op(e3,e3)
| e3 != op(e1,e1) )
& ( e1 != op(e3,e3)
| e3 != op(e3,e1) )
& ( e0 != op(e0,e1)
| e1 != op(e1,e1) )
& ( e0 != op(e2,e2)
| e2 != op(e2,e0) )
& ( e0 != op(e0,e0)
| e0 != op(e0,e0) )
& ( e0 != op(e0,e2)
| e2 != op(e2,e2) )
& ( e1 != op(e1,e1)
| e1 != op(e2,e2) )
& ( e2 != op(e2,e1)
| e1 != op(e3,e3) )
& ( e1 != op(e1,e1)
| e3 != op(e3,e1) )
& ( e1 != op(e1,e3)
| e3 != op(e1,e1) )
& ( e0 != op(e0,e0)
| e2 != op(e2,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f731,plain,
( spl0_41
| spl0_79
| spl0_18
| spl0_59 ),
inference(avatar_split_clause,[],[f75,f521,f323,f632,f427]) ).
fof(f427,plain,
( spl0_41
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).
fof(f75,plain,
( e2 = op(e3,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f727,plain,
( spl0_39
| spl0_63
| spl0_47
| spl0_46 ),
inference(avatar_split_clause,[],[f84,f450,f455,f544,f416]) ).
fof(f84,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f726,plain,
( spl0_38
| spl0_21
| spl0_11
| spl0_84 ),
inference(avatar_split_clause,[],[f73,f665,f292,f336,f412]) ).
fof(f73,plain,
( e1 = op(e3,e2)
| e1 = op(e1,e2)
| e1 = op(e2,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f725,plain,
( spl0_4
| spl0_9
| spl0_36
| spl0_23 ),
inference(avatar_split_clause,[],[f186,f346,f403,f283,f261]) ).
fof(f283,plain,
( spl0_9
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f186,plain,
( e0 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e2 = op(e2,e1)
| e1 = op(e2,e1)
| e3 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e0 = op(e1,e2)
| e2 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2) )
& ( e1 = op(e1,e1)
| e2 = op(e1,e1)
| e0 = op(e1,e1)
| e3 = op(e1,e1) )
& ( e0 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e3 = op(e2,e0) )
& ( e1 = op(e2,e3)
| e2 = op(e2,e3)
| e0 = op(e2,e3)
| e3 = op(e2,e3) )
& ( e2 = op(e3,e3)
| e3 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e0 = op(e2,e2)
| e3 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e0 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2) )
& ( e0 = op(e3,e1)
| e3 = op(e3,e1)
| e1 = op(e3,e1)
| e2 = op(e3,e1) )
& ( e1 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e2 = op(e1,e0)
| e1 = op(e1,e0)
| e3 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e1 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e2 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e0 = op(e1,e3)
| e2 = op(e1,e3) )
& ( op(e0,e0) = e1
| op(e0,e0) = e2
| e0 = op(e0,e0)
| op(e0,e0) = e3 )
& ( e1 = op(e0,e1)
| e3 = op(e0,e1)
| e0 = op(e0,e1)
| e2 = op(e0,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f724,plain,
( ~ spl0_23
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f126,f266,f346]) ).
fof(f126,plain,
( e2 != op(e2,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f719,plain,
( ~ spl0_27
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f121,f266,f364]) ).
fof(f121,plain,
( e2 != op(e2,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f717,plain,
( ~ spl0_13
| ~ spl0_21
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f62,f675,f336,f301]) ).
fof(f62,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2)
| e0 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e0 != op(op(e2,op(e2,e2)),op(e2,e2))
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,e2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e1 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e0 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f716,plain,
( ~ spl0_53
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f137,f416,f491]) ).
fof(f137,plain,
( op(e0,e0) != e1
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f715,plain,
( ~ spl0_27
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f122,f544,f364]) ).
fof(f122,plain,
( e1 != op(e1,e0)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f708,plain,
( ~ spl0_23
| ~ spl0_60
| ~ spl0_34 ),
inference(avatar_split_clause,[],[f170,f395,f531,f346]) ).
fof(f170,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,e1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e2 = op(op(e1,op(e1,e1)),op(e1,e1))
& e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f707,plain,
( spl0_83
| spl0_50
| spl0_19
| spl0_14 ),
inference(avatar_split_clause,[],[f92,f305,f327,f471,f658]) ).
fof(f92,plain,
( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f706,plain,
( spl0_49
| spl0_80
| spl0_58
| spl0_30 ),
inference(avatar_split_clause,[],[f81,f377,f513,f636,f467]) ).
fof(f81,plain,
( e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f704,plain,
( spl0_83
| spl0_40
| spl0_3
| spl0_86 ),
inference(avatar_split_clause,[],[f83,f681,f257,f422,f658]) ).
fof(f83,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e1)
| op(e0,e0) = e3
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f703,plain,
( spl0_82
| spl0_59
| spl0_84
| spl0_50 ),
inference(avatar_split_clause,[],[f181,f471,f665,f521,f653]) ).
fof(f181,plain,
( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f702,plain,
( ~ spl0_63
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f162,f270,f544]) ).
fof(f162,plain,
( e0 != op(e2,e2)
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f701,plain,
( ~ spl0_23
| ~ spl0_63 ),
inference(avatar_split_clause,[],[f145,f544,f346]) ).
fof(f145,plain,
( e1 != op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f699,plain,
( ~ spl0_23
| ~ spl0_43 ),
inference(avatar_split_clause,[],[f130,f438,f346]) ).
fof(f130,plain,
( e3 != op(e3,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f698,plain,
( spl0_62
| spl0_18
| spl0_36
| spl0_58 ),
inference(avatar_split_clause,[],[f101,f513,f403,f323,f540]) ).
fof(f101,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e1)
| e2 = op(e1,e2)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f697,plain,
( ~ spl0_14
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f156,f611,f305]) ).
fof(f156,plain,
( e0 != op(e0,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f695,plain,
( spl0_6
| spl0_87
| spl0_29
| spl0_22 ),
inference(avatar_split_clause,[],[f104,f342,f373,f686,f270]) ).
fof(f104,plain,
( e0 = op(e2,e1)
| e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f692,plain,
( ~ spl0_75
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f120,f422,f611]) ).
fof(f120,plain,
( op(e0,e0) != e3
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f691,plain,
( spl0_74
| spl0_87
| spl0_47
| spl0_5 ),
inference(avatar_split_clause,[],[f185,f266,f455,f686,f605]) ).
fof(f185,plain,
( e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f689,plain,
( spl0_65
| spl0_44
| spl0_87
| spl0_66 ),
inference(avatar_split_clause,[],[f94,f557,f686,f442,f552]) ).
fof(f557,plain,
( spl0_66
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).
fof(f94,plain,
( e0 = op(e0,e0)
| e0 = op(e2,e0)
| e0 = op(e3,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f684,plain,
( spl0_80
| spl0_75
| spl0_37
| spl0_86 ),
inference(avatar_split_clause,[],[f179,f681,f408,f611,f636]) ).
fof(f179,plain,
( e3 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f679,plain,
( spl0_65
| spl0_20
| spl0_23
| spl0_56 ),
inference(avatar_split_clause,[],[f89,f505,f346,f331,f552]) ).
fof(f89,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e1)
| e0 = op(e1,e2)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f678,plain,
( ~ spl0_6
| ~ spl0_68
| ~ spl0_85 ),
inference(avatar_split_clause,[],[f54,f675,f568,f270]) ).
fof(f54,plain,
( e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e1 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e1 = op(op(e2,op(e2,e2)),op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f673,plain,
( spl0_44
| spl0_17
| spl0_27
| spl0_82 ),
inference(avatar_split_clause,[],[f91,f653,f364,f318,f442]) ).
fof(f91,plain,
( e0 = op(e3,e2)
| e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f672,plain,
( ~ spl0_14
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f168,f462,f305]) ).
fof(f168,plain,
( e1 != op(e1,e3)
| e3 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f671,plain,
( ~ spl0_48
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f148,f422,f462]) ).
fof(f148,plain,
( op(e0,e0) != e3
| e1 != op(e1,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f670,plain,
( ~ spl0_33
| ~ spl0_26
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f171,f641,f360,f390]) ).
fof(f171,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3))
| e0 != op(e3,op(e3,e3)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e2 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f668,plain,
( spl0_46
| spl0_84
| spl0_7
| spl0_33 ),
inference(avatar_split_clause,[],[f90,f390,f275,f665,f450]) ).
fof(f90,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e1)
| e1 = op(e3,e2)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f661,plain,
( spl0_79
| spl0_38
| spl0_83
| spl0_52 ),
inference(avatar_split_clause,[],[f177,f483,f658,f412,f632]) ).
fof(f177,plain,
( e0 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f651,plain,
( ~ spl0_53
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f109,f390,f491]) ).
fof(f109,plain,
( e1 != op(e3,e3)
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f650,plain,
( ~ spl0_12
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f166,f483,f296]) ).
fof(f166,plain,
( e0 != op(e0,e2)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f649,plain,
( ~ spl0_4
| ~ spl0_75 ),
inference(avatar_split_clause,[],[f147,f611,f261]) ).
fof(f147,plain,
( e0 != op(e0,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f648,plain,
( spl0_11
| spl0_9
| spl0_48
| spl0_63 ),
inference(avatar_split_clause,[],[f79,f544,f462,f283,f292]) ).
fof(f79,plain,
( e1 = op(e1,e0)
| e1 = op(e1,e3)
| e1 = op(e1,e1)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f647,plain,
( ~ spl0_21
| ~ spl0_53 ),
inference(avatar_split_clause,[],[f129,f491,f336]) ).
fof(f129,plain,
( e2 != op(e2,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f645,plain,
( ~ spl0_43
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f144,f270,f438]) ).
fof(f144,plain,
( e0 != op(e2,e2)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f644,plain,
( ~ spl0_71
| ~ spl0_49
| ~ spl0_81 ),
inference(avatar_split_clause,[],[f241,f641,f467,f589]) ).
fof(f241,plain,
( e0 != op(e3,op(e3,e3))
| e2 != op(e3,e3)
| e1 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e0 != op(e3,op(e3,e3))
| e1 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e0 = op(e3,op(e3,e3))
& e2 = op(e3,e3)
& e1 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f639,plain,
( spl0_79
| spl0_80
| spl0_25
| spl0_12 ),
inference(avatar_split_clause,[],[f103,f296,f355,f636,f632]) ).
fof(f103,plain,
( op(e0,e0) = e2
| e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f616,plain,
( ~ spl0_15
| ~ spl0_6
| ~ spl0_69 ),
inference(avatar_split_clause,[],[f243,f574,f270,f309]) ).
fof(f243,plain,
( e3 != op(op(e2,op(e2,e2)),op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2)) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e3 != op(op(e2,op(e2,e2)),op(e2,e2)) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(op(e2,op(e2,e2)),op(e2,e2))
& e1 = op(e2,op(e2,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f615,plain,
( spl0_10
| spl0_2
| spl0_22
| spl0_53 ),
inference(avatar_split_clause,[],[f188,f491,f342,f253,f287]) ).
fof(f188,plain,
( e2 = op(e2,e1)
| e0 = op(e2,e1)
| e3 = op(e2,e1)
| e1 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f614,plain,
( spl0_75
| spl0_66
| spl0_24
| spl0_52 ),
inference(avatar_split_clause,[],[f97,f483,f350,f557,f611]) ).
fof(f97,plain,
( e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f609,plain,
( ~ spl0_30
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f124,f261,f377]) ).
fof(f124,plain,
( e3 != op(e1,e1)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f608,plain,
( spl0_40
| spl0_74
| spl0_64
| spl0_43 ),
inference(avatar_split_clause,[],[f95,f438,f548,f605,f422]) ).
fof(f95,plain,
( e3 = op(e3,e0)
| e3 = op(e1,e0)
| e3 = op(e2,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f598,plain,
( ~ spl0_43
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f146,f364,f438]) ).
fof(f146,plain,
( e0 != op(e3,e3)
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f587,plain,
( ~ spl0_61
| ~ spl0_70
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f192,f403,f584,f535]) ).
fof(f192,plain,
( e2 != op(e1,e1)
| e3 != op(op(e1,op(e1,e1)),op(e1,e1))
| e0 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e3 = op(op(e1,op(e1,e1)),op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f582,plain,
~ spl0_66,
inference(avatar_split_clause,[],[f244,f557]) ).
fof(f244,plain,
e0 != op(e0,e0),
inference(duplicate_literal_removal,[],[f112]) ).
fof(f112,plain,
( e0 != op(e0,e0)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f5]) ).
fof(f581,plain,
( ~ spl0_52
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f159,f403,f483]) ).
fof(f159,plain,
( e2 != op(e1,e1)
| e0 != op(e0,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f578,plain,
( spl0_1
| spl0_42
| spl0_50
| spl0_43 ),
inference(avatar_split_clause,[],[f93,f438,f471,f432,f249]) ).
fof(f432,plain,
( spl0_42
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).
fof(f93,plain,
( e3 = op(e3,e0)
| e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f572,plain,
~ spl0_41,
inference(avatar_split_clause,[],[f245,f427]) ).
fof(f245,plain,
e2 != op(e2,e2),
inference(duplicate_literal_removal,[],[f132]) ).
fof(f132,plain,
( e2 != op(e2,e2)
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f562,plain,
( ~ spl0_33
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f115,f249,f390]) ).
fof(f115,plain,
( e3 != op(e3,e1)
| e1 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f560,plain,
( spl0_66
| spl0_39
| spl0_40
| spl0_12 ),
inference(avatar_split_clause,[],[f174,f296,f422,f416,f557]) ).
fof(f174,plain,
( op(e0,e0) = e2
| op(e0,e0) = e3
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f555,plain,
( spl0_62
| spl0_63
| spl0_64
| spl0_65 ),
inference(avatar_split_clause,[],[f178,f552,f548,f544,f540]) ).
fof(f178,plain,
( e0 = op(e1,e0)
| e3 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f538,plain,
( ~ spl0_60
| ~ spl0_61
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f59,f261,f535,f531]) ).
fof(f59,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e2 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e0 = op(e1,op(e1,e1))
& e3 = op(e1,e1)
& e2 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f529,plain,
( spl0_14
| spl0_21
| spl0_41
| spl0_6 ),
inference(avatar_split_clause,[],[f182,f270,f427,f336,f305]) ).
fof(f182,plain,
( e0 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e3 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f528,plain,
( ~ spl0_4
| ~ spl0_48 ),
inference(avatar_split_clause,[],[f107,f462,f261]) ).
fof(f107,plain,
( e1 != op(e1,e3)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f527,plain,
~ spl0_9,
inference(avatar_split_clause,[],[f246,f283]) ).
fof(f246,plain,
e1 != op(e1,e1),
inference(duplicate_literal_removal,[],[f135]) ).
fof(f135,plain,
( e1 != op(e1,e1)
| e1 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f526,plain,
( ~ spl0_50
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f136,f296,f471]) ).
fof(f136,plain,
( op(e0,e0) != e2
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f525,plain,
( ~ spl0_21
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f139,f350,f336]) ).
fof(f139,plain,
( e0 != op(e0,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f519,plain,
( ~ spl0_36
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f160,f292,f403]) ).
fof(f160,plain,
( e1 != op(e1,e2)
| e2 != op(e1,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f518,plain,
( spl0_42
| spl0_49
| spl0_33
| spl0_27 ),
inference(avatar_split_clause,[],[f183,f364,f390,f467,f432]) ).
fof(f183,plain,
( e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f517,plain,
( spl0_16
| spl0_25
| spl0_53
| spl0_36 ),
inference(avatar_split_clause,[],[f100,f403,f491,f355,f314]) ).
fof(f100,plain,
( e2 = op(e1,e1)
| e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f516,plain,
( spl0_56
| spl0_48
| spl0_57
| spl0_58 ),
inference(avatar_split_clause,[],[f175,f513,f509,f462,f505]) ).
fof(f175,plain,
( e2 = op(e1,e3)
| e3 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f503,plain,
( ~ spl0_40
| ~ spl0_54
| ~ spl0_55 ),
inference(avatar_split_clause,[],[f58,f500,f496,f422]) ).
fof(f58,plain,
( e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),op(e0,e0))
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( op(e0,e0) != e3
| e1 != op(e0,op(e0,e0))
| e2 != op(op(e0,op(e0,e0)),op(e0,e0)) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( op(e0,e0) = e3
& e2 = op(op(e0,op(e0,e0)),op(e0,e0))
& e1 = op(e0,op(e0,e0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f494,plain,
( spl0_41
| spl0_53
| spl0_30
| spl0_5 ),
inference(avatar_split_clause,[],[f99,f266,f377,f491,f427]) ).
fof(f99,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f488,plain,
( ~ spl0_49
| ~ spl0_11 ),
inference(avatar_split_clause,[],[f118,f292,f467]) ).
fof(f118,plain,
( e1 != op(e1,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f486,plain,
( ~ spl0_49
| ~ spl0_52 ),
inference(avatar_split_clause,[],[f151,f483,f467]) ).
fof(f151,plain,
( e0 != op(e0,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f480,plain,
( ~ spl0_28
| ~ spl0_51
| ~ spl0_49 ),
inference(avatar_split_clause,[],[f72,f467,f477,f368]) ).
fof(f72,plain,
( e2 != op(e3,e3)
| e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e1 != op(e3,op(e3,e3)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(op(e3,op(e3,e3)),op(e3,e3))
| e2 != op(e3,e3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(op(e3,op(e3,e3)),op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f475,plain,
~ spl0_42,
inference(avatar_split_clause,[],[f247,f432]) ).
fof(f247,plain,
e3 != op(e3,e3),
inference(duplicate_literal_removal,[],[f117]) ).
fof(f117,plain,
( e3 != op(e3,e3)
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f474,plain,
( ~ spl0_49
| ~ spl0_50 ),
inference(avatar_split_clause,[],[f119,f471,f467]) ).
fof(f119,plain,
( e3 != op(e3,e2)
| e2 != op(e3,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f459,plain,
( ~ spl0_39
| ~ spl0_24 ),
inference(avatar_split_clause,[],[f143,f350,f416]) ).
fof(f143,plain,
( e0 != op(e0,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f5]) ).
fof(f453,plain,
( spl0_43
| spl0_44
| spl0_45
| spl0_46 ),
inference(avatar_split_clause,[],[f176,f450,f446,f442,f438]) ).
fof(f176,plain,
( e1 = op(e3,e0)
| e2 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f436,plain,
( ~ spl0_1
| ~ spl0_39 ),
inference(avatar_split_clause,[],[f161,f416,f249]) ).
fof(f161,plain,
( op(e0,e0) != e1
| e3 != op(e3,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f425,plain,
( ~ spl0_30
| ~ spl0_40 ),
inference(avatar_split_clause,[],[f141,f422,f377]) ).
fof(f141,plain,
( op(e0,e0) != e3
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f420,plain,
( ~ spl0_30
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f142,f305,f377]) ).
fof(f142,plain,
( e3 != op(e2,e2)
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f5]) ).
fof(f406,plain,
( ~ spl0_34
| ~ spl0_35
| ~ spl0_36 ),
inference(avatar_split_clause,[],[f105,f403,f399,f395]) ).
fof(f105,plain,
( e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1))
| e3 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(e1,e1)
| e0 != op(op(e1,op(e1,e1)),op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e3 = op(e1,op(e1,e1))
& e2 = op(e1,e1)
& e0 = op(op(e1,op(e1,e1)),op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f393,plain,
( ~ spl0_24
| ~ spl0_33 ),
inference(avatar_split_clause,[],[f163,f390,f350]) ).
fof(f163,plain,
( e1 != op(e3,e3)
| e0 != op(e0,e1) ),
inference(cnf_transformation,[],[f5]) ).
fof(f371,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_28 ),
inference(avatar_split_clause,[],[f63,f368,f364,f360]) ).
fof(f63,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,op(e3,e3)),op(e3,e3)) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e2 = op(op(e3,op(e3,e3)),op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f358,plain,
( spl0_8
| spl0_3
| spl0_24
| spl0_25 ),
inference(avatar_split_clause,[],[f173,f355,f350,f257,f279]) ).
fof(f173,plain,
( e2 = op(e0,e1)
| e0 = op(e0,e1)
| e3 = op(e0,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f353,plain,
( spl0_22
| spl0_23
| spl0_24
| spl0_17 ),
inference(avatar_split_clause,[],[f80,f318,f350,f346,f342]) ).
fof(f80,plain,
( e0 = op(e3,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f339,plain,
( ~ spl0_21
| ~ spl0_1 ),
inference(avatar_split_clause,[],[f153,f249,f336]) ).
fof(f153,plain,
( e3 != op(e3,e1)
| e1 != op(e2,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f334,plain,
( spl0_11
| spl0_18
| spl0_19
| spl0_20 ),
inference(avatar_split_clause,[],[f187,f331,f327,f323,f292]) ).
fof(f187,plain,
( e0 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f299,plain,
( ~ spl0_11
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f127,f296,f292]) ).
fof(f127,plain,
( op(e0,e0) != e2
| e1 != op(e1,e2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f290,plain,
( spl0_7
| spl0_8
| spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f102,f287,f283,f279,f275]) ).
fof(f102,plain,
( e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1)
| e1 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f273,plain,
( ~ spl0_5
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f113,f270,f266]) ).
fof(f113,plain,
( e0 != op(e2,e2)
| e2 != op(e2,e0) ),
inference(cnf_transformation,[],[f5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG136+1 : TPTP v8.1.0. Released v2.7.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.10/0.32 % Computer : n012.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Aug 29 14:55:21 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.16/0.43 % (13481)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.43 % (13485)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.16/0.46 % (13477)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)
% 0.16/0.46 % (13497)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)
% 0.16/0.48 TRYING [4]
% 0.16/0.48 % (13498)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.16/0.48 % (13474)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)
% 0.16/0.48 % (13490)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.16/0.49 % (13496)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.16/0.49 % (13502)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.16/0.49 % (13504)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.16/0.49 % (13482)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.16/0.49 % (13494)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.49 % (13489)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.50 % (13480)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.16/0.50 % (13482)Instruction limit reached!
% 0.16/0.50 % (13482)------------------------------
% 0.16/0.50 % (13482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (13482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (13482)Termination reason: Unknown
% 0.16/0.50 % (13482)Termination phase: Saturation
% 0.16/0.50
% 0.16/0.50 % (13482)Memory used [KB]: 5628
% 0.16/0.50 % (13482)Time elapsed: 0.007 s
% 0.16/0.50 % (13482)Instructions burned: 7 (million)
% 0.16/0.50 % (13482)------------------------------
% 0.16/0.50 % (13482)------------------------------
% 0.16/0.50 % (13487)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.16/0.50 % (13481)Instruction limit reached!
% 0.16/0.50 % (13481)------------------------------
% 0.16/0.50 % (13481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.50 % (13481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.50 % (13481)Termination reason: Unknown
% 0.16/0.50 % (13481)Termination phase: Finite model building SAT solving
% 0.16/0.50
% 0.16/0.50 % (13481)Memory used [KB]: 7675
% 0.16/0.50 % (13481)Time elapsed: 0.133 s
% 0.16/0.50 % (13481)Instructions burned: 51 (million)
% 0.16/0.50 % (13481)------------------------------
% 0.16/0.50 % (13481)------------------------------
% 0.16/0.51 % (13501)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.16/0.51 % (13483)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.16/0.51 % (13483)Instruction limit reached!
% 0.16/0.51 % (13483)------------------------------
% 0.16/0.51 % (13483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.51 % (13483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.51 % (13483)Termination reason: Unknown
% 0.16/0.51 % (13483)Termination phase: Property scanning
% 0.16/0.51
% 0.16/0.51 % (13483)Memory used [KB]: 1023
% 0.16/0.51 % (13483)Time elapsed: 0.003 s
% 0.16/0.51 % (13483)Instructions burned: 4 (million)
% 0.16/0.51 % (13483)------------------------------
% 0.16/0.51 % (13483)------------------------------
% 0.16/0.51 % (13476)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)
% 0.16/0.51 TRYING [4]
% 0.16/0.51 % (13478)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.16/0.51 % (13484)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)
% 0.16/0.52 % (13488)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.52 % (13495)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.16/0.52 % (13492)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.16/0.52 % (13475)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)
% 0.16/0.52 % (13503)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.16/0.52 % (13493)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.16/0.53 % (13499)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.16/0.53 % (13491)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.16/0.53 % (13486)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)
% 0.16/0.53 % (13485)Instruction limit reached!
% 0.16/0.53 % (13485)------------------------------
% 0.16/0.53 % (13485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.54 % (13500)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.16/0.54 % (13485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.54 % (13485)Termination reason: Unknown
% 0.16/0.54 % (13485)Termination phase: Saturation
% 0.16/0.54
% 0.16/0.54 % (13485)Memory used [KB]: 6652
% 0.16/0.54 % (13485)Time elapsed: 0.030 s
% 0.16/0.54 % (13485)Instructions burned: 51 (million)
% 0.16/0.54 % (13485)------------------------------
% 0.16/0.54 % (13485)------------------------------
% 0.16/0.55 % (13477)Instruction limit reached!
% 0.16/0.55 % (13477)------------------------------
% 0.16/0.55 % (13477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.55 % (13477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.55 % (13477)Termination reason: Unknown
% 0.16/0.55 % (13498)First to succeed.
% 0.16/0.55 % (13477)Termination phase: Saturation
% 0.16/0.55
% 0.16/0.55 % (13477)Memory used [KB]: 6652
% 0.16/0.55 % (13477)Time elapsed: 0.166 s
% 0.16/0.55 % (13477)Instructions burned: 52 (million)
% 0.16/0.55 % (13477)------------------------------
% 0.16/0.55 % (13477)------------------------------
% 0.16/0.55 TRYING [5]
% 0.16/0.57 % (13498)Refutation found. Thanks to Tanya!
% 0.16/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.57 % (13498)------------------------------
% 0.16/0.57 % (13498)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.16/0.57 % (13498)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.16/0.57 % (13498)Termination reason: Refutation
% 0.16/0.57
% 0.16/0.57 % (13498)Memory used [KB]: 6524
% 0.16/0.57 % (13498)Time elapsed: 0.060 s
% 0.16/0.57 % (13498)Instructions burned: 51 (million)
% 0.16/0.57 % (13498)------------------------------
% 0.16/0.57 % (13498)------------------------------
% 0.16/0.57 % (13467)Success in time 0.239 s
%------------------------------------------------------------------------------