TSTP Solution File: ALG142+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG142+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_uns --cores 0 -t %d %s
% Computer : n001.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 15:39:59 EDT 2022
% Result : Unsatisfiable 1.51s 0.57s
% Output : Refutation 1.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 96
% Syntax : Number of formulae : 608 ( 48 unt; 0 def)
% Number of atoms : 1798 ( 876 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 2055 ( 865 ~; 956 |; 154 &)
% ( 80 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 86 ( 84 usr; 85 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1857,plain,
$false,
inference(avatar_sat_refutation,[],[f245,f275,f305,f306,f320,f382,f388,f405,f416,f421,f426,f440,f445,f458,f463,f468,f493,f494,f504,f506,f525,f534,f539,f545,f564,f574,f583,f598,f603,f608,f609,f614,f623,f624,f625,f626,f637,f638,f639,f640,f645,f646,f647,f648,f649,f650,f655,f656,f663,f664,f665,f666,f673,f676,f681,f682,f685,f687,f688,f693,f696,f697,f698,f701,f702,f703,f704,f706,f707,f715,f720,f729,f738,f739,f740,f760,f768,f771,f784,f798,f800,f809,f816,f817,f827,f828,f833,f836,f842,f845,f853,f855,f859,f865,f867,f871,f876,f890,f895,f898,f902,f931,f938,f947,f949,f982,f984,f992,f1002,f1004,f1009,f1029,f1043,f1061,f1093,f1095,f1125,f1137,f1142,f1153,f1169,f1198,f1209,f1223,f1238,f1241,f1244,f1306,f1315,f1317,f1331,f1379,f1399,f1405,f1410,f1417,f1420,f1424,f1436,f1449,f1483,f1493,f1536,f1538,f1544,f1554,f1564,f1576,f1594,f1604,f1606,f1609,f1615,f1619,f1622,f1625,f1628,f1635,f1643,f1651,f1653,f1682,f1697,f1712,f1732,f1746,f1747,f1749,f1751,f1752,f1757,f1773,f1779,f1784,f1796,f1804,f1815,f1826,f1839]) ).
fof(f1839,plain,
( ~ spl4_13
| spl4_30
| ~ spl4_68 ),
inference(avatar_contradiction_clause,[],[f1838]) ).
fof(f1838,plain,
( $false
| ~ spl4_13
| spl4_30
| ~ spl4_68 ),
inference(subsumption_resolution,[],[f1833,f544]) ).
fof(f544,plain,
( e2 = op(e0,e1)
| ~ spl4_68 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f542,plain,
( spl4_68
<=> e2 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_68])]) ).
fof(f1833,plain,
( e2 != op(e0,e1)
| ~ spl4_13
| spl4_30 ),
inference(backward_demodulation,[],[f359,f283]) ).
fof(f283,plain,
( e0 = op(e1,e1)
| ~ spl4_13 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl4_13
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f359,plain,
( e2 != op(op(e1,e1),e1)
| spl4_30 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f357,plain,
( spl4_30
<=> e2 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_30])]) ).
fof(f1826,plain,
( ~ spl4_50
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1816,f316,f451]) ).
fof(f451,plain,
( spl4_50
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_50])]) ).
fof(f316,plain,
( spl4_21
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_21])]) ).
fof(f1816,plain,
( e2 != op(e3,e0)
| ~ spl4_21 ),
inference(backward_demodulation,[],[f145,f317]) ).
fof(f317,plain,
( e2 = op(e3,e3)
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f145,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e1,e1) != op(e3,e1)
& op(e3,e0) != op(e3,e2)
& op(e1,e1) != op(e2,e1)
& op(e0,e3) != op(e1,e3)
& op(e1,e0) != op(e1,e1)
& op(e2,e2) != op(e3,e2)
& op(e1,e3) != op(e3,e3)
& op(e1,e2) != op(e3,e2)
& op(e0,e2) != op(e0,e3)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e1,e0)
& op(e1,e0) != op(e1,e3)
& op(e2,e0) != op(e2,e3)
& op(e0,e2) != op(e2,e2)
& op(e0,e1) != op(e2,e1)
& op(e2,e1) != op(e3,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e0) != op(e3,e1)
& op(e2,e0) != op(e2,e1)
& op(e0,e2) != op(e1,e2)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e3,e0) != op(e3,e3)
& op(e0,e1) != op(e0,e2)
& op(e3,e1) != op(e3,e3)
& op(e0,e3) != op(e3,e3)
& op(e2,e1) != op(e2,e3)
& op(e1,e2) != op(e1,e3)
& op(e1,e3) != op(e2,e3)
& op(e1,e1) != op(e1,e3)
& op(e0,e1) != op(e1,e1)
& op(e0,e0) != op(e0,e2)
& op(e3,e2) != op(e3,e3)
& op(e1,e1) != op(e1,e2)
& op(e3,e1) != op(e3,e2)
& op(e0,e0) != op(e0,e3)
& op(e1,e0) != op(e1,e2)
& op(e2,e1) != op(e2,e2)
& op(e0,e1) != op(e3,e1)
& op(e2,e0) != op(e3,e0)
& op(e2,e0) != op(e2,e2)
& op(e2,e2) != op(e2,e3)
& op(e0,e0) != op(e2,e0)
& op(e0,e3) != op(e2,e3)
& op(e0,e1) != op(e0,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1815,plain,
( ~ spl4_85
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f1814,f418,f628]) ).
fof(f628,plain,
( spl4_85
<=> e1 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_85])]) ).
fof(f418,plain,
( spl4_43
<=> op(e0,e0) = e1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_43])]) ).
fof(f1814,plain,
( e1 != op(e3,e0)
| ~ spl4_43 ),
inference(forward_demodulation,[],[f161,f420]) ).
fof(f420,plain,
( op(e0,e0) = e1
| ~ spl4_43 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f161,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1804,plain,
( ~ spl4_16
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f1803,f379,f294]) ).
fof(f294,plain,
( spl4_16
<=> e3 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f379,plain,
( spl4_35
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_35])]) ).
fof(f1803,plain,
( e3 != op(e3,e3)
| ~ spl4_35 ),
inference(forward_demodulation,[],[f143,f381]) ).
fof(f381,plain,
( e3 = op(e3,e1)
| ~ spl4_35 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f143,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1796,plain,
( ~ spl4_50
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f1795,f331,f451]) ).
fof(f331,plain,
( spl4_24
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_24])]) ).
fof(f1795,plain,
( e2 != op(e3,e0)
| ~ spl4_24 ),
inference(backward_demodulation,[],[f128,f332]) ).
fof(f332,plain,
( e2 = op(e2,e0)
| ~ spl4_24 ),
inference(avatar_component_clause,[],[f331]) ).
fof(f128,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1784,plain,
( ~ spl4_81
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f1783,f379,f605]) ).
fof(f605,plain,
( spl4_81
<=> e3 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_81])]) ).
fof(f1783,plain,
( e3 != op(e0,e1)
| ~ spl4_35 ),
inference(forward_demodulation,[],[f129,f381]) ).
fof(f129,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1779,plain,
( ~ spl4_13
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1778,f600,f281]) ).
fof(f600,plain,
( spl4_80
<=> e0 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_80])]) ).
fof(f1778,plain,
( e0 != op(e1,e1)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f134,f602]) ).
fof(f602,plain,
( e0 = op(e1,e2)
| ~ spl4_80 ),
inference(avatar_component_clause,[],[f600]) ).
fof(f134,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1773,plain,
( ~ spl4_81
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f1772,f234,f605]) ).
fof(f234,plain,
( spl4_2
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f1772,plain,
( e3 != op(e0,e1)
| ~ spl4_2 ),
inference(backward_demodulation,[],[f123,f236]) ).
fof(f236,plain,
( e3 = op(e0,e3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f123,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1757,plain,
( ~ spl4_26
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f1756,f379,f339]) ).
fof(f339,plain,
( spl4_26
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_26])]) ).
fof(f1756,plain,
( e3 != op(e3,e0)
| ~ spl4_35 ),
inference(backward_demodulation,[],[f150,f381]) ).
fof(f150,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1752,plain,
( ~ spl4_74
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1686,f600,f571]) ).
fof(f571,plain,
( spl4_74
<=> e0 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_74])]) ).
fof(f1686,plain,
( e0 != op(e0,e2)
| ~ spl4_80 ),
inference(forward_demodulation,[],[f148,f602]) ).
fof(f148,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1751,plain,
( ~ spl4_73
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f1750,f298,f567]) ).
fof(f567,plain,
( spl4_73
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_73])]) ).
fof(f298,plain,
( spl4_17
<=> e3 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f1750,plain,
( e3 != op(e0,e2)
| ~ spl4_17 ),
inference(forward_demodulation,[],[f157,f300]) ).
fof(f300,plain,
( e3 = op(e2,e2)
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f157,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1749,plain,
( ~ spl4_8
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f1748,f298,f260]) ).
fof(f260,plain,
( spl4_8
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f1748,plain,
( e3 != op(e3,e2)
| ~ spl4_17 ),
inference(forward_demodulation,[],[f165,f300]) ).
fof(f165,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1747,plain,
( ~ spl4_75
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f1743,f298,f576]) ).
fof(f576,plain,
( spl4_75
<=> e3 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_75])]) ).
fof(f1743,plain,
( e3 != op(e2,e3)
| ~ spl4_17 ),
inference(backward_demodulation,[],[f126,f300]) ).
fof(f126,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1746,plain,
( ~ spl4_76
| ~ spl4_17 ),
inference(avatar_split_clause,[],[f1742,f298,f580]) ).
fof(f580,plain,
( spl4_76
<=> e3 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_76])]) ).
fof(f1742,plain,
( e3 != op(e2,e0)
| ~ spl4_17 ),
inference(backward_demodulation,[],[f127,f300]) ).
fof(f127,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1732,plain,
( ~ spl4_8
| ~ spl4_73 ),
inference(avatar_contradiction_clause,[],[f1731]) ).
fof(f1731,plain,
( $false
| ~ spl4_8
| ~ spl4_73 ),
inference(subsumption_resolution,[],[f1730,f569]) ).
fof(f569,plain,
( e3 = op(e0,e2)
| ~ spl4_73 ),
inference(avatar_component_clause,[],[f567]) ).
fof(f1730,plain,
( e3 != op(e0,e2)
| ~ spl4_8 ),
inference(forward_demodulation,[],[f152,f261]) ).
fof(f261,plain,
( e3 = op(e3,e2)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f260]) ).
fof(f152,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1712,plain,
( ~ spl4_11
| ~ spl4_33 ),
inference(avatar_contradiction_clause,[],[f1711]) ).
fof(f1711,plain,
( $false
| ~ spl4_11
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f1710,f179]) ).
fof(f179,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e0 != e2
& e0 != e1
& e2 != e3
& e0 != e3
& e1 != e3
& e1 != e2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1710,plain,
( e1 = e2
| ~ spl4_11
| ~ spl4_33 ),
inference(backward_demodulation,[],[f274,f372]) ).
fof(f372,plain,
( e1 = op(e2,e2)
| ~ spl4_33 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl4_33
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_33])]) ).
fof(f274,plain,
( e2 = op(e2,e2)
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f272]) ).
fof(f272,plain,
( spl4_11
<=> e2 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f1697,plain,
( ~ spl4_33
| ~ spl4_38 ),
inference(avatar_split_clause,[],[f1695,f394,f370]) ).
fof(f394,plain,
( spl4_38
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_38])]) ).
fof(f1695,plain,
( e1 != op(e2,e2)
| ~ spl4_38 ),
inference(backward_demodulation,[],[f130,f396]) ).
fof(f396,plain,
( e1 = op(e2,e1)
| ~ spl4_38 ),
inference(avatar_component_clause,[],[f394]) ).
fof(f130,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1682,plain,
( ~ spl4_52
| ~ spl4_61 ),
inference(avatar_split_clause,[],[f1680,f508,f460]) ).
fof(f460,plain,
( spl4_52
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_52])]) ).
fof(f508,plain,
( spl4_61
<=> e2 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_61])]) ).
fof(f1680,plain,
( e2 != op(e2,e3)
| ~ spl4_61 ),
inference(backward_demodulation,[],[f139,f510]) ).
fof(f510,plain,
( e2 = op(e1,e3)
| ~ spl4_61 ),
inference(avatar_component_clause,[],[f508]) ).
fof(f139,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1653,plain,
( ~ spl4_4
| ~ spl4_36
| spl4_48 ),
inference(avatar_split_clause,[],[f1650,f442,f384,f242]) ).
fof(f242,plain,
( spl4_4
<=> e2 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f384,plain,
( spl4_36
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_36])]) ).
fof(f442,plain,
( spl4_48
<=> e2 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_48])]) ).
fof(f1650,plain,
( e2 != op(e0,e3)
| ~ spl4_36
| spl4_48 ),
inference(backward_demodulation,[],[f444,f386]) ).
fof(f386,plain,
( e0 = op(e3,e3)
| ~ spl4_36 ),
inference(avatar_component_clause,[],[f384]) ).
fof(f444,plain,
( e2 != op(op(e3,e3),e3)
| spl4_48 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f1651,plain,
( ~ spl4_3
| spl4_22
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f1649,f384,f322,f238]) ).
fof(f238,plain,
( spl4_3
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f322,plain,
( spl4_22
<=> e1 = op(op(e3,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_22])]) ).
fof(f1649,plain,
( e1 != op(e0,e3)
| spl4_22
| ~ spl4_36 ),
inference(backward_demodulation,[],[f324,f386]) ).
fof(f324,plain,
( e1 != op(op(e3,e3),e3)
| spl4_22 ),
inference(avatar_component_clause,[],[f322]) ).
fof(f1643,plain,
( ~ spl4_61
| ~ spl4_12
| spl4_83 ),
inference(avatar_split_clause,[],[f1445,f616,f277,f508]) ).
fof(f277,plain,
( spl4_12
<=> e3 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f616,plain,
( spl4_83
<=> e2 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_83])]) ).
fof(f1445,plain,
( e2 != op(e1,e3)
| ~ spl4_12
| spl4_83 ),
inference(backward_demodulation,[],[f618,f279]) ).
fof(f279,plain,
( e3 = op(e1,e1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f618,plain,
( e2 != op(e1,op(e1,e1))
| spl4_83 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f1635,plain,
( ~ spl4_47
| ~ spl4_80 ),
inference(avatar_split_clause,[],[f1633,f600,f437]) ).
fof(f437,plain,
( spl4_47
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_47])]) ).
fof(f1633,plain,
( e0 != op(e2,e2)
| ~ spl4_80 ),
inference(backward_demodulation,[],[f153,f602]) ).
fof(f153,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1628,plain,
( ~ spl4_82
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f1627,f260,f611]) ).
fof(f611,plain,
( spl4_82
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_82])]) ).
fof(f1627,plain,
( e3 != op(e1,e2)
| ~ spl4_8 ),
inference(forward_demodulation,[],[f163,f261]) ).
fof(f163,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1625,plain,
( ~ spl4_39
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f1624,f455,f398]) ).
fof(f398,plain,
( spl4_39
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_39])]) ).
fof(f455,plain,
( spl4_51
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_51])]) ).
fof(f1624,plain,
( e2 != op(e2,e1)
| ~ spl4_51 ),
inference(forward_demodulation,[],[f155,f457]) ).
fof(f457,plain,
( e2 = op(e3,e1)
| ~ spl4_51 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f155,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1622,plain,
( ~ spl4_21
| ~ spl4_51 ),
inference(avatar_split_clause,[],[f1621,f455,f316]) ).
fof(f1621,plain,
( e2 != op(e3,e3)
| ~ spl4_51 ),
inference(backward_demodulation,[],[f143,f457]) ).
fof(f1619,plain,
( ~ spl4_26
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f1618,f260,f339]) ).
fof(f1618,plain,
( e3 != op(e3,e0)
| ~ spl4_8 ),
inference(forward_demodulation,[],[f169,f261]) ).
fof(f169,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1615,plain,
( ~ spl4_57
| ~ spl4_49 ),
inference(avatar_split_clause,[],[f1614,f447,f485]) ).
fof(f485,plain,
( spl4_57
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_57])]) ).
fof(f447,plain,
( spl4_49
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_49])]) ).
fof(f1614,plain,
( e2 != op(e0,e2)
| ~ spl4_49 ),
inference(forward_demodulation,[],[f152,f449]) ).
fof(f449,plain,
( e2 = op(e3,e2)
| ~ spl4_49 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f1609,plain,
( ~ spl4_52
| ~ spl4_75 ),
inference(avatar_contradiction_clause,[],[f1608]) ).
fof(f1608,plain,
( $false
| ~ spl4_52
| ~ spl4_75 ),
inference(subsumption_resolution,[],[f1607,f182]) ).
fof(f182,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f1607,plain,
( e2 = e3
| ~ spl4_52
| ~ spl4_75 ),
inference(backward_demodulation,[],[f578,f461]) ).
fof(f461,plain,
( e2 = op(e2,e3)
| ~ spl4_52 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f578,plain,
( e3 = op(e2,e3)
| ~ spl4_75 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f1606,plain,
( ~ spl4_85
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f1605,f251,f628]) ).
fof(f251,plain,
( spl4_6
<=> e1 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f1605,plain,
( e1 != op(e3,e0)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f145,f253]) ).
fof(f253,plain,
( e1 = op(e3,e3)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f1604,plain,
( ~ spl4_10
| ~ spl4_12 ),
inference(avatar_contradiction_clause,[],[f1603]) ).
fof(f1603,plain,
( $false
| ~ spl4_10
| ~ spl4_12 ),
inference(subsumption_resolution,[],[f1602,f182]) ).
fof(f1602,plain,
( e2 = e3
| ~ spl4_10
| ~ spl4_12 ),
inference(backward_demodulation,[],[f279,f270]) ).
fof(f270,plain,
( e2 = op(e1,e1)
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f268]) ).
fof(f268,plain,
( spl4_10
<=> e2 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f1594,plain,
( ~ spl4_57
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f1590,f465,f485]) ).
fof(f465,plain,
( spl4_53
<=> op(e0,e0) = e2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_53])]) ).
fof(f1590,plain,
( e2 != op(e0,e2)
| ~ spl4_53 ),
inference(backward_demodulation,[],[f136,f467]) ).
fof(f467,plain,
( op(e0,e0) = e2
| ~ spl4_53 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f136,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1576,plain,
( ~ spl4_10
| ~ spl4_39 ),
inference(avatar_split_clause,[],[f1575,f398,f268]) ).
fof(f1575,plain,
( e2 != op(e1,e1)
| ~ spl4_39 ),
inference(forward_demodulation,[],[f168,f400]) ).
fof(f400,plain,
( e2 = op(e2,e1)
| ~ spl4_39 ),
inference(avatar_component_clause,[],[f398]) ).
fof(f168,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1564,plain,
( ~ spl4_73
| ~ spl4_47
| spl4_54 ),
inference(avatar_split_clause,[],[f1481,f472,f437,f567]) ).
fof(f472,plain,
( spl4_54
<=> e3 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_54])]) ).
fof(f1481,plain,
( e3 != op(e0,e2)
| ~ spl4_47
| spl4_54 ),
inference(backward_demodulation,[],[f474,f439]) ).
fof(f439,plain,
( e0 = op(e2,e2)
| ~ spl4_47 ),
inference(avatar_component_clause,[],[f437]) ).
fof(f474,plain,
( e3 != op(op(e2,e2),e2)
| spl4_54 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f1554,plain,
( ~ spl4_82
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1551,f277,f611]) ).
fof(f1551,plain,
( e3 != op(e1,e2)
| ~ spl4_12 ),
inference(backward_demodulation,[],[f134,f279]) ).
fof(f1544,plain,
( ~ spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f1542,f251,f247]) ).
fof(f247,plain,
( spl4_5
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f1542,plain,
( e1 != op(e2,e3)
| ~ spl4_6 ),
inference(backward_demodulation,[],[f154,f253]) ).
fof(f154,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1538,plain,
( ~ spl4_12
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f1537,f595,f277]) ).
fof(f595,plain,
( spl4_79
<=> e3 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_79])]) ).
fof(f1537,plain,
( e3 != op(e1,e1)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f138,f597]) ).
fof(f597,plain,
( e3 = op(e1,e3)
| ~ spl4_79 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f138,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1536,plain,
( ~ spl4_75
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f1535,f595,f576]) ).
fof(f1535,plain,
( e3 != op(e2,e3)
| ~ spl4_79 ),
inference(backward_demodulation,[],[f139,f597]) ).
fof(f1493,plain,
( ~ spl4_12
| ~ spl4_40 ),
inference(avatar_contradiction_clause,[],[f1492]) ).
fof(f1492,plain,
( $false
| ~ spl4_12
| ~ spl4_40 ),
inference(subsumption_resolution,[],[f1381,f279]) ).
fof(f1381,plain,
( e3 != op(e1,e1)
| ~ spl4_40 ),
inference(forward_demodulation,[],[f168,f404]) ).
fof(f404,plain,
( e3 = op(e2,e1)
| ~ spl4_40 ),
inference(avatar_component_clause,[],[f402]) ).
fof(f402,plain,
( spl4_40
<=> e3 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_40])]) ).
fof(f1483,plain,
( ~ spl4_34
| ~ spl4_47
| spl4_89 ),
inference(avatar_contradiction_clause,[],[f1482]) ).
fof(f1482,plain,
( $false
| ~ spl4_34
| ~ spl4_47
| spl4_89 ),
inference(subsumption_resolution,[],[f1476,f376]) ).
fof(f376,plain,
( e1 = op(e0,e2)
| ~ spl4_34 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl4_34
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_34])]) ).
fof(f1476,plain,
( e1 != op(e0,e2)
| ~ spl4_47
| spl4_89 ),
inference(backward_demodulation,[],[f660,f439]) ).
fof(f660,plain,
( e1 != op(op(e2,e2),e2)
| spl4_89 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f658,plain,
( spl4_89
<=> e1 = op(op(e2,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_89])]) ).
fof(f1449,plain,
( ~ spl4_44
| ~ spl4_12
| spl4_87 ),
inference(avatar_split_clause,[],[f1447,f642,f277,f423]) ).
fof(f423,plain,
( spl4_44
<=> e0 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_44])]) ).
fof(f642,plain,
( spl4_87
<=> e0 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_87])]) ).
fof(f1447,plain,
( e0 != op(e3,e1)
| ~ spl4_12
| spl4_87 ),
inference(backward_demodulation,[],[f644,f279]) ).
fof(f644,plain,
( e0 != op(op(e1,e1),e1)
| spl4_87 ),
inference(avatar_component_clause,[],[f642]) ).
fof(f1436,plain,
( ~ spl4_88
| ~ spl4_65 ),
inference(avatar_split_clause,[],[f1431,f527,f652]) ).
fof(f652,plain,
( spl4_88
<=> e0 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_88])]) ).
fof(f527,plain,
( spl4_65
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_65])]) ).
fof(f1431,plain,
( e0 != op(e3,e0)
| ~ spl4_65 ),
inference(backward_demodulation,[],[f147,f529]) ).
fof(f529,plain,
( e0 = op(e1,e0)
| ~ spl4_65 ),
inference(avatar_component_clause,[],[f527]) ).
fof(f147,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1424,plain,
( ~ spl4_10
| ~ spl4_56 ),
inference(avatar_split_clause,[],[f1423,f481,f268]) ).
fof(f481,plain,
( spl4_56
<=> e2 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_56])]) ).
fof(f1423,plain,
( e2 != op(e1,e1)
| ~ spl4_56 ),
inference(forward_demodulation,[],[f134,f483]) ).
fof(f483,plain,
( e2 = op(e1,e2)
| ~ spl4_56 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f1420,plain,
( ~ spl4_43
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f1419]) ).
fof(f1419,plain,
( $false
| ~ spl4_43
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1418,f179]) ).
fof(f1418,plain,
( e1 = e2
| ~ spl4_43
| ~ spl4_53 ),
inference(forward_demodulation,[],[f467,f420]) ).
fof(f1417,plain,
( ~ spl4_65
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f1286,f518,f527]) ).
fof(f518,plain,
( spl4_63
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_63])]) ).
fof(f1286,plain,
( e0 != op(e1,e0)
| ~ spl4_63 ),
inference(forward_demodulation,[],[f159,f520]) ).
fof(f520,plain,
( e0 = op(e1,e3)
| ~ spl4_63 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f159,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1410,plain,
( ~ spl4_17
| ~ spl4_40 ),
inference(avatar_split_clause,[],[f1409,f402,f298]) ).
fof(f1409,plain,
( e3 != op(e2,e2)
| ~ spl4_40 ),
inference(forward_demodulation,[],[f130,f404]) ).
fof(f1405,plain,
( ~ spl4_5
| ~ spl4_33 ),
inference(avatar_contradiction_clause,[],[f1404]) ).
fof(f1404,plain,
( $false
| ~ spl4_5
| ~ spl4_33 ),
inference(subsumption_resolution,[],[f1403,f372]) ).
fof(f1403,plain,
( e1 != op(e2,e2)
| ~ spl4_5 ),
inference(forward_demodulation,[],[f126,f249]) ).
fof(f249,plain,
( e1 = op(e2,e3)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f1399,plain,
( ~ spl4_36
| ~ spl4_88 ),
inference(avatar_contradiction_clause,[],[f1398]) ).
fof(f1398,plain,
( $false
| ~ spl4_36
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f1397,f654]) ).
fof(f654,plain,
( e0 = op(e3,e0)
| ~ spl4_88 ),
inference(avatar_component_clause,[],[f652]) ).
fof(f1397,plain,
( e0 != op(e3,e0)
| ~ spl4_36 ),
inference(forward_demodulation,[],[f145,f386]) ).
fof(f1379,plain,
( ~ spl4_16
| ~ spl4_36 ),
inference(avatar_contradiction_clause,[],[f1378]) ).
fof(f1378,plain,
( $false
| ~ spl4_16
| ~ spl4_36 ),
inference(subsumption_resolution,[],[f1376,f181]) ).
fof(f181,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f1376,plain,
( e0 = e3
| ~ spl4_16
| ~ spl4_36 ),
inference(backward_demodulation,[],[f295,f386]) ).
fof(f295,plain,
( e3 = op(e3,e3)
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f1331,plain,
( ~ spl4_24
| ~ spl4_92 ),
inference(avatar_contradiction_clause,[],[f1330]) ).
fof(f1330,plain,
( $false
| ~ spl4_24
| ~ spl4_92 ),
inference(subsumption_resolution,[],[f1329,f184]) ).
fof(f184,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f1329,plain,
( e0 = e2
| ~ spl4_24
| ~ spl4_92 ),
inference(forward_demodulation,[],[f332,f692]) ).
fof(f692,plain,
( e0 = op(e2,e0)
| ~ spl4_92 ),
inference(avatar_component_clause,[],[f690]) ).
fof(f690,plain,
( spl4_92
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_92])]) ).
fof(f1317,plain,
( ~ spl4_66
| ~ spl4_18 ),
inference(avatar_split_clause,[],[f1316,f302,f531]) ).
fof(f531,plain,
( spl4_66
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_66])]) ).
fof(f302,plain,
( spl4_18
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f1316,plain,
( e3 != op(e1,e0)
| ~ spl4_18 ),
inference(forward_demodulation,[],[f160,f304]) ).
fof(f304,plain,
( op(e0,e0) = e3
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f302]) ).
fof(f160,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1315,plain,
( ~ spl4_36
| ~ spl4_63 ),
inference(avatar_split_clause,[],[f1314,f518,f384]) ).
fof(f1314,plain,
( e0 != op(e3,e3)
| ~ spl4_63 ),
inference(forward_demodulation,[],[f164,f520]) ).
fof(f164,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1306,plain,
( ~ spl4_66
| ~ spl4_82 ),
inference(avatar_contradiction_clause,[],[f1305]) ).
fof(f1305,plain,
( $false
| ~ spl4_66
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f1304,f533]) ).
fof(f533,plain,
( e3 = op(e1,e0)
| ~ spl4_66 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f1304,plain,
( e3 != op(e1,e0)
| ~ spl4_82 ),
inference(forward_demodulation,[],[f131,f613]) ).
fof(f613,plain,
( e3 = op(e1,e2)
| ~ spl4_82 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f131,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f1244,plain,
( ~ spl4_50
| ~ spl4_88 ),
inference(avatar_contradiction_clause,[],[f1243]) ).
fof(f1243,plain,
( $false
| ~ spl4_50
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f1242,f184]) ).
fof(f1242,plain,
( e0 = e2
| ~ spl4_50
| ~ spl4_88 ),
inference(forward_demodulation,[],[f453,f654]) ).
fof(f453,plain,
( e2 = op(e3,e0)
| ~ spl4_50 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f1241,plain,
( ~ spl4_45
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f1240,f251,f428]) ).
fof(f428,plain,
( spl4_45
<=> e1 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_45])]) ).
fof(f1240,plain,
( e1 != op(e3,e1)
| ~ spl4_6 ),
inference(forward_demodulation,[],[f143,f253]) ).
fof(f1238,plain,
( ~ spl4_6
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f1237]) ).
fof(f1237,plain,
( $false
| ~ spl4_6
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f1236,f180]) ).
fof(f180,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f1236,plain,
( e1 = e3
| ~ spl4_6
| ~ spl4_16 ),
inference(forward_demodulation,[],[f295,f253]) ).
fof(f1223,plain,
( ~ spl4_21
| ~ spl4_52 ),
inference(avatar_contradiction_clause,[],[f1222]) ).
fof(f1222,plain,
( $false
| ~ spl4_21
| ~ spl4_52 ),
inference(subsumption_resolution,[],[f1023,f461]) ).
fof(f1023,plain,
( e2 != op(e2,e3)
| ~ spl4_21 ),
inference(forward_demodulation,[],[f154,f317]) ).
fof(f1209,plain,
( ~ spl4_6
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1208]) ).
fof(f1208,plain,
( $false
| ~ spl4_6
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1207,f179]) ).
fof(f1207,plain,
( e1 = e2
| ~ spl4_6
| ~ spl4_21 ),
inference(backward_demodulation,[],[f317,f253]) ).
fof(f1198,plain,
( ~ spl4_18
| ~ spl4_53 ),
inference(avatar_contradiction_clause,[],[f1197]) ).
fof(f1197,plain,
( $false
| ~ spl4_18
| ~ spl4_53 ),
inference(subsumption_resolution,[],[f1196,f182]) ).
fof(f1196,plain,
( e2 = e3
| ~ spl4_18
| ~ spl4_53 ),
inference(forward_demodulation,[],[f304,f467]) ).
fof(f1169,plain,
( ~ spl4_4
| ~ spl4_52 ),
inference(avatar_split_clause,[],[f1168,f460,f242]) ).
fof(f1168,plain,
( e2 != op(e0,e3)
| ~ spl4_52 ),
inference(backward_demodulation,[],[f124,f461]) ).
fof(f124,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1153,plain,
( ~ spl4_79
| ~ spl4_82 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl4_79
| ~ spl4_82 ),
inference(subsumption_resolution,[],[f1035,f613]) ).
fof(f1035,plain,
( e3 != op(e1,e2)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f140,f597]) ).
fof(f140,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1142,plain,
( ~ spl4_16
| ~ spl4_21 ),
inference(avatar_contradiction_clause,[],[f1141]) ).
fof(f1141,plain,
( $false
| ~ spl4_16
| ~ spl4_21 ),
inference(subsumption_resolution,[],[f1140,f182]) ).
fof(f1140,plain,
( e2 = e3
| ~ spl4_16
| ~ spl4_21 ),
inference(forward_demodulation,[],[f295,f317]) ).
fof(f1137,plain,
( ~ spl4_10
| ~ spl4_68 ),
inference(avatar_split_clause,[],[f1136,f542,f268]) ).
fof(f1136,plain,
( e2 != op(e1,e1)
| ~ spl4_68 ),
inference(forward_demodulation,[],[f137,f544]) ).
fof(f137,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f1125,plain,
( ~ spl4_24
| ~ spl4_53 ),
inference(avatar_split_clause,[],[f1124,f465,f331]) ).
fof(f1124,plain,
( e2 != op(e2,e0)
| ~ spl4_53 ),
inference(forward_demodulation,[],[f125,f467]) ).
fof(f125,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1095,plain,
( ~ spl4_2
| ~ spl4_79 ),
inference(avatar_split_clause,[],[f1056,f595,f234]) ).
fof(f1056,plain,
( e3 != op(e0,e3)
| ~ spl4_79 ),
inference(forward_demodulation,[],[f167,f597]) ).
fof(f167,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f1093,plain,
( ~ spl4_78
| ~ spl4_88 ),
inference(avatar_split_clause,[],[f1092,f652,f590]) ).
fof(f590,plain,
( spl4_78
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_78])]) ).
fof(f1092,plain,
( e0 != op(e3,e2)
| ~ spl4_88 ),
inference(forward_demodulation,[],[f169,f654]) ).
fof(f1061,plain,
( ~ spl4_61
| ~ spl4_21 ),
inference(avatar_split_clause,[],[f1060,f316,f508]) ).
fof(f1060,plain,
( e2 != op(e1,e3)
| ~ spl4_21 ),
inference(forward_demodulation,[],[f164,f317]) ).
fof(f1043,plain,
( ~ spl4_11
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f1042]) ).
fof(f1042,plain,
( $false
| ~ spl4_11
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f1041,f182]) ).
fof(f1041,plain,
( e2 = e3
| ~ spl4_11
| ~ spl4_17 ),
inference(forward_demodulation,[],[f300,f274]) ).
fof(f1029,plain,
( ~ spl4_24
| ~ spl4_62 ),
inference(avatar_split_clause,[],[f1028,f512,f331]) ).
fof(f512,plain,
( spl4_62
<=> e2 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_62])]) ).
fof(f1028,plain,
( e2 != op(e2,e0)
| ~ spl4_62 ),
inference(forward_demodulation,[],[f146,f514]) ).
fof(f514,plain,
( e2 = op(e1,e0)
| ~ spl4_62 ),
inference(avatar_component_clause,[],[f512]) ).
fof(f146,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f1009,plain,
( ~ spl4_26
| ~ spl4_88 ),
inference(avatar_contradiction_clause,[],[f1008]) ).
fof(f1008,plain,
( $false
| ~ spl4_26
| ~ spl4_88 ),
inference(subsumption_resolution,[],[f1005,f181]) ).
fof(f1005,plain,
( e0 = e3
| ~ spl4_26
| ~ spl4_88 ),
inference(backward_demodulation,[],[f340,f654]) ).
fof(f340,plain,
( e3 = op(e3,e0)
| ~ spl4_26 ),
inference(avatar_component_clause,[],[f339]) ).
fof(f1004,plain,
( ~ spl4_76
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f1003,f339,f580]) ).
fof(f1003,plain,
( e3 != op(e2,e0)
| ~ spl4_26 ),
inference(forward_demodulation,[],[f128,f340]) ).
fof(f1002,plain,
( ~ spl4_66
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f1001,f339,f531]) ).
fof(f1001,plain,
( e3 != op(e1,e0)
| ~ spl4_26 ),
inference(forward_demodulation,[],[f147,f340]) ).
fof(f992,plain,
( ~ spl4_78
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f991,f571,f590]) ).
fof(f991,plain,
( e0 != op(e3,e2)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f152,f573]) ).
fof(f573,plain,
( e0 = op(e0,e2)
| ~ spl4_74 ),
inference(avatar_component_clause,[],[f571]) ).
fof(f984,plain,
( ~ spl4_46
| ~ spl4_43 ),
inference(avatar_split_clause,[],[f983,f418,f432]) ).
fof(f432,plain,
( spl4_46
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_46])]) ).
fof(f983,plain,
( e1 != op(e0,e1)
| ~ spl4_43 ),
inference(forward_demodulation,[],[f151,f420]) ).
fof(f151,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f982,plain,
( ~ spl4_81
| ~ spl4_13
| spl4_84 ),
inference(avatar_split_clause,[],[f846,f620,f281,f605]) ).
fof(f620,plain,
( spl4_84
<=> e3 = op(op(e1,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_84])]) ).
fof(f846,plain,
( e3 != op(e0,e1)
| ~ spl4_13
| spl4_84 ),
inference(forward_demodulation,[],[f622,f283]) ).
fof(f622,plain,
( e3 != op(op(e1,e1),e1)
| spl4_84 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f949,plain,
( ~ spl4_36
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f948,f522,f384]) ).
fof(f522,plain,
( spl4_64
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_64])]) ).
fof(f948,plain,
( e0 != op(e3,e3)
| ~ spl4_64 ),
inference(forward_demodulation,[],[f154,f524]) ).
fof(f524,plain,
( e0 = op(e2,e3)
| ~ spl4_64 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f947,plain,
( ~ spl4_13
| ~ spl4_44 ),
inference(avatar_contradiction_clause,[],[f946]) ).
fof(f946,plain,
( $false
| ~ spl4_13
| ~ spl4_44 ),
inference(subsumption_resolution,[],[f945,f283]) ).
fof(f945,plain,
( e0 != op(e1,e1)
| ~ spl4_44 ),
inference(forward_demodulation,[],[f170,f425]) ).
fof(f425,plain,
( e0 = op(e3,e1)
| ~ spl4_44 ),
inference(avatar_component_clause,[],[f423]) ).
fof(f170,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f938,plain,
( ~ spl4_88
| ~ spl4_44 ),
inference(avatar_split_clause,[],[f937,f423,f652]) ).
fof(f937,plain,
( e0 != op(e3,e0)
| ~ spl4_44 ),
inference(forward_demodulation,[],[f150,f425]) ).
fof(f931,plain,
( ~ spl4_92
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f930,f522,f690]) ).
fof(f930,plain,
( e0 != op(e2,e0)
| ~ spl4_64 ),
inference(forward_demodulation,[],[f158,f524]) ).
fof(f158,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f902,plain,
( ~ spl4_66
| ~ spl4_13
| spl4_67 ),
inference(avatar_split_clause,[],[f901,f536,f281,f531]) ).
fof(f536,plain,
( spl4_67
<=> e3 = op(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_67])]) ).
fof(f901,plain,
( e3 != op(e1,e0)
| ~ spl4_13
| spl4_67 ),
inference(forward_demodulation,[],[f538,f283]) ).
fof(f538,plain,
( e3 != op(e1,op(e1,e1))
| spl4_67 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f898,plain,
( ~ spl4_47
| ~ spl4_64 ),
inference(avatar_split_clause,[],[f897,f522,f437]) ).
fof(f897,plain,
( e0 != op(e2,e2)
| ~ spl4_64 ),
inference(forward_demodulation,[],[f126,f524]) ).
fof(f895,plain,
( ~ spl4_18
| ~ spl4_43 ),
inference(avatar_contradiction_clause,[],[f894]) ).
fof(f894,plain,
( $false
| ~ spl4_18
| ~ spl4_43 ),
inference(subsumption_resolution,[],[f893,f180]) ).
fof(f893,plain,
( e1 = e3
| ~ spl4_18
| ~ spl4_43 ),
inference(forward_demodulation,[],[f304,f420]) ).
fof(f890,plain,
( ~ spl4_47
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f889,f571,f437]) ).
fof(f889,plain,
( e0 != op(e2,e2)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f157,f573]) ).
fof(f876,plain,
( ~ spl4_27
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f875,f571,f343]) ).
fof(f343,plain,
( spl4_27
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_27])]) ).
fof(f875,plain,
( e0 != op(e0,e0)
| ~ spl4_74 ),
inference(forward_demodulation,[],[f136,f573]) ).
fof(f871,plain,
( ~ spl4_37
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f870,f281,f390]) ).
fof(f390,plain,
( spl4_37
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_37])]) ).
fof(f870,plain,
( e0 != op(e2,e1)
| ~ spl4_13 ),
inference(forward_demodulation,[],[f168,f283]) ).
fof(f867,plain,
( ~ spl4_65
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f866,f281,f527]) ).
fof(f866,plain,
( e0 != op(e1,e0)
| ~ spl4_13 ),
inference(forward_demodulation,[],[f166,f283]) ).
fof(f166,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f865,plain,
( ~ spl4_62
| ~ spl4_13
| spl4_83 ),
inference(avatar_split_clause,[],[f864,f616,f281,f512]) ).
fof(f864,plain,
( e2 != op(e1,e0)
| ~ spl4_13
| spl4_83 ),
inference(forward_demodulation,[],[f618,f283]) ).
fof(f859,plain,
( ~ spl4_11
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f858]) ).
fof(f858,plain,
( $false
| ~ spl4_11
| ~ spl4_47 ),
inference(subsumption_resolution,[],[f857,f184]) ).
fof(f857,plain,
( e0 = e2
| ~ spl4_11
| ~ spl4_47 ),
inference(forward_demodulation,[],[f274,f439]) ).
fof(f855,plain,
( ~ spl4_77
| ~ spl4_47
| spl4_60 ),
inference(avatar_split_clause,[],[f854,f500,f437,f585]) ).
fof(f585,plain,
( spl4_77
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_77])]) ).
fof(f500,plain,
( spl4_60
<=> e1 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_60])]) ).
fof(f854,plain,
( e1 != op(e2,e0)
| ~ spl4_47
| spl4_60 ),
inference(forward_demodulation,[],[f502,f439]) ).
fof(f502,plain,
( e1 != op(e2,op(e2,e2))
| spl4_60 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f853,plain,
( ~ spl4_21
| ~ spl4_36 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| ~ spl4_21
| ~ spl4_36 ),
inference(subsumption_resolution,[],[f851,f184]) ).
fof(f851,plain,
( e0 = e2
| ~ spl4_21
| ~ spl4_36 ),
inference(forward_demodulation,[],[f317,f386]) ).
fof(f845,plain,
( ~ spl4_17
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f844]) ).
fof(f844,plain,
( $false
| ~ spl4_17
| ~ spl4_47 ),
inference(subsumption_resolution,[],[f843,f181]) ).
fof(f843,plain,
( e0 = e3
| ~ spl4_17
| ~ spl4_47 ),
inference(forward_demodulation,[],[f300,f439]) ).
fof(f842,plain,
( ~ spl4_12
| ~ spl4_13 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl4_12
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f840,f181]) ).
fof(f840,plain,
( e0 = e3
| ~ spl4_12
| ~ spl4_13 ),
inference(forward_demodulation,[],[f279,f283]) ).
fof(f836,plain,
( ~ spl4_10
| ~ spl4_13 ),
inference(avatar_contradiction_clause,[],[f835]) ).
fof(f835,plain,
( $false
| ~ spl4_10
| ~ spl4_13 ),
inference(subsumption_resolution,[],[f834,f184]) ).
fof(f834,plain,
( e0 = e2
| ~ spl4_10
| ~ spl4_13 ),
inference(backward_demodulation,[],[f270,f283]) ).
fof(f833,plain,
( ~ spl4_18
| ~ spl4_27 ),
inference(avatar_contradiction_clause,[],[f832]) ).
fof(f832,plain,
( $false
| ~ spl4_18
| ~ spl4_27 ),
inference(subsumption_resolution,[],[f831,f181]) ).
fof(f831,plain,
( e0 = e3
| ~ spl4_18
| ~ spl4_27 ),
inference(forward_demodulation,[],[f304,f345]) ).
fof(f345,plain,
( e0 = op(e0,e0)
| ~ spl4_27 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f828,plain,
( ~ spl4_85
| spl4_20
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f823,f384,f312,f628]) ).
fof(f312,plain,
( spl4_20
<=> e1 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_20])]) ).
fof(f823,plain,
( e1 != op(e3,e0)
| spl4_20
| ~ spl4_36 ),
inference(backward_demodulation,[],[f314,f386]) ).
fof(f314,plain,
( e1 != op(e3,op(e3,e3))
| spl4_20 ),
inference(avatar_component_clause,[],[f312]) ).
fof(f827,plain,
( ~ spl4_36
| ~ spl4_50
| spl4_58 ),
inference(avatar_contradiction_clause,[],[f826]) ).
fof(f826,plain,
( $false
| ~ spl4_36
| ~ spl4_50
| spl4_58 ),
inference(subsumption_resolution,[],[f824,f453]) ).
fof(f824,plain,
( e2 != op(e3,e0)
| ~ spl4_36
| spl4_58 ),
inference(backward_demodulation,[],[f492,f386]) ).
fof(f492,plain,
( e2 != op(e3,op(e3,e3))
| spl4_58 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl4_58
<=> e2 = op(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_58])]) ).
fof(f817,plain,
( ~ spl4_65
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f813,f343,f527]) ).
fof(f813,plain,
( e0 != op(e1,e0)
| ~ spl4_27 ),
inference(backward_demodulation,[],[f160,f345]) ).
fof(f816,plain,
( ~ spl4_92
| ~ spl4_27 ),
inference(avatar_split_clause,[],[f815,f343,f690]) ).
fof(f815,plain,
( e0 != op(e2,e0)
| ~ spl4_27 ),
inference(backward_demodulation,[],[f125,f345]) ).
fof(f809,plain,
( ~ spl4_33
| ~ spl4_47 ),
inference(avatar_contradiction_clause,[],[f808]) ).
fof(f808,plain,
( $false
| ~ spl4_33
| ~ spl4_47 ),
inference(subsumption_resolution,[],[f807,f183]) ).
fof(f183,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f807,plain,
( e0 = e1
| ~ spl4_33
| ~ spl4_47 ),
inference(forward_demodulation,[],[f372,f439]) ).
fof(f800,plain,
( ~ spl4_51
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f794,f268,f455]) ).
fof(f794,plain,
( e2 != op(e3,e1)
| ~ spl4_10 ),
inference(backward_demodulation,[],[f170,f270]) ).
fof(f798,plain,
( ~ spl4_62
| ~ spl4_10 ),
inference(avatar_split_clause,[],[f793,f268,f512]) ).
fof(f793,plain,
( e2 != op(e1,e0)
| ~ spl4_10 ),
inference(backward_demodulation,[],[f166,f270]) ).
fof(f784,plain,
( ~ spl4_53
| ~ spl4_50 ),
inference(avatar_split_clause,[],[f780,f451,f465]) ).
fof(f780,plain,
( op(e0,e0) != e2
| ~ spl4_50 ),
inference(backward_demodulation,[],[f161,f453]) ).
fof(f771,plain,
( ~ spl4_76
| ~ spl4_47
| spl4_91 ),
inference(avatar_split_clause,[],[f763,f678,f437,f580]) ).
fof(f678,plain,
( spl4_91
<=> e3 = op(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_91])]) ).
fof(f763,plain,
( e3 != op(e2,e0)
| ~ spl4_47
| spl4_91 ),
inference(backward_demodulation,[],[f680,f439]) ).
fof(f680,plain,
( e3 != op(e2,op(e2,e2))
| spl4_91 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f768,plain,
( ~ spl4_92
| ~ spl4_47 ),
inference(avatar_split_clause,[],[f765,f437,f690]) ).
fof(f765,plain,
( e0 != op(e2,e0)
| ~ spl4_47 ),
inference(backward_demodulation,[],[f127,f439]) ).
fof(f760,plain,
( ~ spl4_18
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f758,f234,f302]) ).
fof(f758,plain,
( op(e0,e0) != e3
| ~ spl4_2 ),
inference(backward_demodulation,[],[f132,f236]) ).
fof(f132,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f740,plain,
( ~ spl4_13
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f733,f407,f281]) ).
fof(f407,plain,
( spl4_41
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_41])]) ).
fof(f733,plain,
( e0 != op(e1,e1)
| ~ spl4_41 ),
inference(backward_demodulation,[],[f137,f408]) ).
fof(f408,plain,
( e0 = op(e0,e1)
| ~ spl4_41 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f739,plain,
( ~ spl4_44
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f737,f407,f423]) ).
fof(f737,plain,
( e0 != op(e3,e1)
| ~ spl4_41 ),
inference(backward_demodulation,[],[f129,f408]) ).
fof(f738,plain,
( ~ spl4_27
| ~ spl4_41 ),
inference(avatar_split_clause,[],[f735,f407,f343]) ).
fof(f735,plain,
( e0 != op(e0,e0)
| ~ spl4_41 ),
inference(backward_demodulation,[],[f151,f408]) ).
fof(f729,plain,
( ~ spl4_5
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f724,f255,f247]) ).
fof(f255,plain,
( spl4_7
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f724,plain,
( e1 != op(e2,e3)
| ~ spl4_7 ),
inference(backward_demodulation,[],[f139,f257]) ).
fof(f257,plain,
( e1 = op(e1,e3)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f720,plain,
( ~ spl4_41
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f710,f390,f407]) ).
fof(f710,plain,
( e0 != op(e0,e1)
| ~ spl4_37 ),
inference(backward_demodulation,[],[f156,f392]) ).
fof(f392,plain,
( e0 = op(e2,e1)
| ~ spl4_37 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f156,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f715,plain,
( ~ spl4_47
| ~ spl4_37 ),
inference(avatar_split_clause,[],[f711,f390,f437]) ).
fof(f711,plain,
( e0 != op(e2,e2)
| ~ spl4_37 ),
inference(backward_demodulation,[],[f130,f392]) ).
fof(f707,plain,
( ~ spl4_42
| ~ spl4_14 ),
inference(avatar_split_clause,[],[f82,f285,f411]) ).
fof(f411,plain,
( spl4_42
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_42])]) ).
fof(f285,plain,
( spl4_14
<=> e1 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f82,plain,
( e1 != op(e1,e1)
| ~ sP3 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
inference(nnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e1 != op(e1,e1)
& e1 = op(e1,e1) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f706,plain,
( spl4_33
| spl4_43
| ~ spl4_35
| spl4_42 ),
inference(avatar_split_clause,[],[f117,f411,f379,f418,f370]) ).
fof(f117,plain,
( sP3
| e3 != op(e3,e1)
| op(e0,e0) = e1
| e1 = op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ( e0 != op(e0,e1)
& op(e0,e0) = e1 )
| ( e2 != op(e2,e1)
& e1 = op(e2,e2) )
| sP3 )
& ( ( e2 = op(e1,e1)
& e1 != op(e1,e2) )
| ( e2 != op(e2,e2)
& e2 = op(e2,e2) )
| ( e2 = op(e3,e3)
& e3 != op(e3,e2) )
| sP2 )
& ( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| sP1 )
& ( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3 )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| sP0 ) ),
inference(definition_folding,[],[f5,f57,f56,f55,f54]) ).
fof(f54,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f55,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f56,plain,
( ( e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5,axiom,
( ( ( e3 != op(e3,e1)
& e1 = op(e3,e3) )
| ( 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(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,e2)
& op(e0,e0) = e2 ) )
& ( ( e0 = op(e3,e3)
& e3 != op(e3,e0) )
| ( e0 = op(e2,e2)
& e2 != op(e2,e0) )
| ( e0 = op(e0,e0)
& e0 != op(e0,e0) )
| ( e0 = op(e1,e1)
& e1 != op(e1,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 != op(e3,e3) )
| ( e0 != op(e0,e3)
& op(e0,e0) = e3 )
| ( e3 = op(e2,e2)
& e2 != op(e2,e3) )
| ( e3 = op(e1,e1)
& e1 != op(e1,e3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f704,plain,
( spl4_77
| spl4_92
| spl4_76
| spl4_24 ),
inference(avatar_split_clause,[],[f68,f331,f580,f690,f585]) ).
fof(f68,plain,
( e2 = op(e2,e0)
| e3 = op(e2,e0)
| e0 = op(e2,e0)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0)
| e3 = op(e1,e0) )
& ( e1 = op(e0,e3)
| e0 = op(e0,e3)
| e2 = op(e0,e3)
| e3 = op(e0,e3) )
& ( e0 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0)
| e2 = op(e3,e0) )
& ( e1 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e1 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| e0 = op(e0,e0)
| op(e0,e0) = e2
| op(e0,e0) = e1 )
& ( e1 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e3,e2)
| e1 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e2 = op(e3,e1)
| e3 = op(e3,e1)
| e0 = op(e3,e1)
| e1 = op(e3,e1) )
& ( e0 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1) )
& ( e0 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2)
| e1 = op(e0,e2) )
& ( e3 = op(e2,e0)
| e0 = op(e2,e0)
| e1 = op(e2,e0)
| e2 = op(e2,e0) )
& ( e3 = op(e2,e2)
| e0 = op(e2,e2)
| e1 = op(e2,e2)
| e2 = op(e2,e2) )
& ( e3 = op(e3,e3)
| e0 = op(e3,e3)
| e1 = op(e3,e3)
| e2 = op(e3,e3) )
& ( e3 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1)
| e2 = op(e2,e1) )
& ( e0 = op(e2,e3)
| e2 = op(e2,e3)
| e3 = op(e2,e3)
| e1 = op(e2,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f703,plain,
( spl4_6
| spl4_43
| spl4_33
| spl4_42 ),
inference(avatar_split_clause,[],[f113,f411,f370,f418,f251]) ).
fof(f113,plain,
( sP3
| e1 = op(e2,e2)
| op(e0,e0) = e1
| e1 = op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f702,plain,
( ~ spl4_52
| spl4_15
| ~ spl4_1
| ~ spl4_16 ),
inference(avatar_split_clause,[],[f91,f294,f230,f290,f460]) ).
fof(f290,plain,
( spl4_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f230,plain,
( spl4_1
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f91,plain,
( e3 != op(e3,e3)
| e0 != op(e0,e3)
| sP0
| e2 != op(e2,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f701,plain,
( spl4_43
| spl4_42
| spl4_6
| ~ spl4_39 ),
inference(avatar_split_clause,[],[f114,f398,f251,f411,f418]) ).
fof(f114,plain,
( e2 != op(e2,e1)
| e1 = op(e3,e3)
| sP3
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f698,plain,
( spl4_74
| spl4_41
| spl4_27
| spl4_1 ),
inference(avatar_split_clause,[],[f202,f230,f343,f407,f571]) ).
fof(f202,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e0)
| e0 = op(e0,e1)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e0 = op(e2,e3)
| e0 = op(e2,e0)
| e0 = op(e2,e1)
| e0 = op(e2,e2) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e1)
| e0 = op(e3,e2)
| e0 = op(e3,e0) )
& ( e0 = op(e2,e2)
| e0 = op(e0,e2)
| e0 = op(e3,e2)
| e0 = op(e1,e2) )
& ( e2 = op(e3,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1)
| e2 = op(e2,e1) )
& ( e1 = op(e2,e1)
| e1 = op(e0,e1)
| e1 = op(e1,e1)
| e1 = op(e3,e1) )
& ( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e3,e3) )
& ( e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e3)
| e2 = op(e3,e2) )
& ( e0 = op(e0,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e2)
| e3 = op(e1,e3)
| e3 = op(e1,e0)
| e3 = op(e1,e1) )
& ( e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1
| e1 = op(e3,e0) )
& ( e3 = op(e0,e1)
| e3 = op(e1,e1)
| e3 = op(e2,e1)
| e3 = op(e3,e1) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e0)
| e1 = op(e2,e1)
| e1 = op(e2,e2) )
& ( e2 = op(e1,e3)
| e2 = op(e2,e3)
| e2 = op(e0,e3)
| e2 = op(e3,e3) )
& ( e1 = op(e0,e1)
| op(e0,e0) = e1
| e1 = op(e0,e3)
| e1 = op(e0,e2) )
& ( e3 = op(e0,e3)
| e3 = op(e1,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3) )
& ( e3 = op(e3,e2)
| e3 = op(e3,e3)
| e3 = op(e3,e0)
| e3 = op(e3,e1) )
& ( e3 = op(e0,e2)
| e3 = op(e0,e1)
| e3 = op(e0,e3)
| op(e0,e0) = e3 )
& ( e1 = op(e0,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2) )
& ( e2 = op(e1,e0)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e3) )
& ( e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2) )
& ( e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0)
| e1 = op(e1,e3) )
& ( e1 = op(e0,e3)
| e1 = op(e2,e3)
| e1 = op(e3,e3)
| e1 = op(e1,e3) )
& ( e3 = op(e2,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e1 = op(e3,e1)
| e1 = op(e3,e0)
| e1 = op(e3,e3)
| e1 = op(e3,e2) )
& ( e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e3)
| e3 = op(e2,e0) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e0)
| e0 = op(e1,e2)
| e0 = op(e1,e1) )
& ( e0 = op(e0,e1)
| e0 = op(e0,e0)
| e0 = op(e0,e3)
| e0 = op(e0,e2) )
& ( e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e2) )
& ( e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2
| e2 = op(e0,e3) )
& ( e0 = op(e1,e0)
| e0 = op(e2,e0)
| e0 = op(e0,e0)
| e0 = op(e3,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e0,e2)
| e2 = op(e1,e2) )
& ( e2 = op(e3,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2
| e2 = op(e2,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f697,plain,
( spl4_85
| spl4_26
| spl4_88
| spl4_50 ),
inference(avatar_split_clause,[],[f77,f451,f652,f339,f628]) ).
fof(f77,plain,
( e2 = op(e3,e0)
| e0 = op(e3,e0)
| e3 = op(e3,e0)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f696,plain,
( ~ spl4_9
| ~ spl4_74 ),
inference(avatar_split_clause,[],[f84,f571,f264]) ).
fof(f264,plain,
( spl4_9
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f84,plain,
( e0 != op(e0,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e0 != op(e0,e2)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f56]) ).
fof(f693,plain,
( spl4_65
| spl4_92
| spl4_88
| spl4_27 ),
inference(avatar_split_clause,[],[f199,f343,f652,f690,f527]) ).
fof(f199,plain,
( e0 = op(e0,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f688,plain,
( ~ spl4_11
| spl4_9
| ~ spl4_28
| spl4_21 ),
inference(avatar_split_clause,[],[f108,f316,f348,f264,f272]) ).
fof(f348,plain,
( spl4_28
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_28])]) ).
fof(f108,plain,
( e2 = op(e3,e3)
| e1 != op(e1,e2)
| sP2
| e2 != op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f687,plain,
( ~ spl4_47
| ~ spl4_60
| ~ spl4_54 ),
inference(avatar_split_clause,[],[f193,f472,f500,f437]) ).
fof(f193,plain,
( e3 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,e2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e0 != op(e2,e2)
| e3 != op(op(e2,e2),e2)
| e1 != op(e2,op(e2,e2)) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e1 = op(e2,op(e2,e2))
& e0 = op(e2,e2)
& e3 = op(op(e2,e2),e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f685,plain,
( spl4_42
| spl4_33
| ~ spl4_41
| spl4_6 ),
inference(avatar_split_clause,[],[f115,f251,f407,f370,f411]) ).
fof(f115,plain,
( e1 = op(e3,e3)
| e0 != op(e0,e1)
| e1 = op(e2,e2)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f682,plain,
( ~ spl4_26
| spl4_25
| ~ spl4_27
| ~ spl4_24 ),
inference(avatar_split_clause,[],[f97,f331,f343,f335,f339]) ).
fof(f335,plain,
( spl4_25
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_25])]) ).
fof(f97,plain,
( e2 != op(e2,e0)
| e0 != op(e0,e0)
| sP1
| e3 != op(e3,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f681,plain,
( ~ spl4_89
| ~ spl4_47
| ~ spl4_91 ),
inference(avatar_split_clause,[],[f176,f678,f437,f658]) ).
fof(f176,plain,
( e3 != op(e2,op(e2,e2))
| e0 != op(e2,e2)
| e1 != op(op(e2,e2),e2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(op(e2,e2),e2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,e2),e2)
& e0 = op(e2,e2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f676,plain,
( spl4_47
| ~ spl4_26
| spl4_25
| spl4_27 ),
inference(avatar_split_clause,[],[f100,f343,f335,f339,f437]) ).
fof(f100,plain,
( e0 = op(e0,e0)
| sP1
| e3 != op(e3,e0)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f673,plain,
( spl4_82
| spl4_73
| spl4_8
| spl4_17 ),
inference(avatar_split_clause,[],[f209,f298,f260,f567,f611]) ).
fof(f209,plain,
( e3 = op(e2,e2)
| e3 = op(e3,e2)
| e3 = op(e0,e2)
| e3 = op(e1,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f666,plain,
( spl4_11
| spl4_39
| spl4_52
| spl4_24 ),
inference(avatar_split_clause,[],[f201,f331,f460,f398,f272]) ).
fof(f201,plain,
( e2 = op(e2,e0)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f665,plain,
( spl4_79
| spl4_12
| spl4_66
| spl4_82 ),
inference(avatar_split_clause,[],[f220,f611,f531,f277,f595]) ).
fof(f220,plain,
( e3 = op(e1,e2)
| e3 = op(e1,e0)
| e3 = op(e1,e1)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f664,plain,
( spl4_81
| spl4_12
| spl4_35
| spl4_40 ),
inference(avatar_split_clause,[],[f218,f402,f379,f277,f605]) ).
fof(f218,plain,
( e3 = op(e2,e1)
| e3 = op(e3,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f663,plain,
( spl4_53
| spl4_50
| spl4_24
| spl4_62 ),
inference(avatar_split_clause,[],[f197,f512,f331,f451,f465]) ).
fof(f197,plain,
( e2 = op(e1,e0)
| e2 = op(e2,e0)
| e2 = op(e3,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f656,plain,
( spl4_27
| spl4_47
| spl4_36
| spl4_25 ),
inference(avatar_split_clause,[],[f104,f335,f384,f437,f343]) ).
fof(f104,plain,
( sP1
| e0 = op(e3,e3)
| e0 = op(e2,e2)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f655,plain,
( spl4_36
| spl4_44
| spl4_78
| spl4_88 ),
inference(avatar_split_clause,[],[f227,f652,f590,f423,f384]) ).
fof(f227,plain,
( e0 = op(e3,e0)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f650,plain,
( spl4_36
| spl4_47
| ~ spl4_27
| spl4_25 ),
inference(avatar_split_clause,[],[f103,f335,f343,f437,f384]) ).
fof(f103,plain,
( sP1
| e0 != op(e0,e0)
| e0 = op(e2,e2)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f649,plain,
( spl4_18
| spl4_17
| spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f94,f294,f290,f298,f302]) ).
fof(f94,plain,
( e3 = op(e3,e3)
| sP0
| e3 = op(e2,e2)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f648,plain,
( spl4_76
| spl4_26
| spl4_18
| spl4_66 ),
inference(avatar_split_clause,[],[f206,f531,f302,f339,f580]) ).
fof(f206,plain,
( e3 = op(e1,e0)
| op(e0,e0) = e3
| e3 = op(e3,e0)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f647,plain,
( spl4_79
| spl4_7
| spl4_63
| spl4_61 ),
inference(avatar_split_clause,[],[f73,f508,f518,f255,f595]) ).
fof(f73,plain,
( e2 = op(e1,e3)
| e0 = op(e1,e3)
| e1 = op(e1,e3)
| e3 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f646,plain,
( spl4_5
| spl4_52
| spl4_75
| spl4_64 ),
inference(avatar_split_clause,[],[f64,f522,f576,f460,f247]) ).
fof(f64,plain,
( e0 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f645,plain,
( ~ spl4_12
| ~ spl4_87
| ~ spl4_83 ),
inference(avatar_split_clause,[],[f121,f616,f642,f277]) ).
fof(f121,plain,
( e2 != op(e1,op(e1,e1))
| e0 != op(op(e1,e1),e1)
| e3 != op(e1,e1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e2 != op(e1,op(e1,e1))
| e3 != op(e1,e1)
| e0 != op(op(e1,e1),e1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e0 = op(op(e1,e1),e1)
& e3 = op(e1,e1)
& e2 = op(e1,op(e1,e1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f640,plain,
( spl4_15
| ~ spl4_52
| spl4_18
| spl4_16 ),
inference(avatar_split_clause,[],[f93,f294,f302,f460,f290]) ).
fof(f93,plain,
( e3 = op(e3,e3)
| op(e0,e0) = e3
| e2 != op(e2,e3)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f639,plain,
( spl4_13
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f86,f335,f281]) ).
fof(f86,plain,
( ~ sP1
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 = op(e1,e1)
& e1 != op(e1,e0) )
| ~ sP1 ),
inference(nnf_transformation,[],[f55]) ).
fof(f638,plain,
( spl4_51
| spl4_35
| spl4_45
| spl4_44 ),
inference(avatar_split_clause,[],[f71,f423,f428,f379,f455]) ).
fof(f71,plain,
( e0 = op(e3,e1)
| e1 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f637,plain,
( spl4_25
| spl4_36
| ~ spl4_24
| spl4_27 ),
inference(avatar_split_clause,[],[f102,f343,f331,f384,f335]) ).
fof(f102,plain,
( e0 = op(e0,e0)
| e2 != op(e2,e0)
| e0 = op(e3,e3)
| sP1 ),
inference(cnf_transformation,[],[f58]) ).
fof(f626,plain,
( spl4_53
| spl4_57
| spl4_4
| spl4_68 ),
inference(avatar_split_clause,[],[f200,f542,f242,f485,f465]) ).
fof(f200,plain,
( e2 = op(e0,e1)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f625,plain,
( spl4_11
| ~ spl4_28
| spl4_21
| spl4_9 ),
inference(avatar_split_clause,[],[f106,f264,f316,f348,f272]) ).
fof(f106,plain,
( sP2
| e2 = op(e3,e3)
| e1 != op(e1,e2)
| e2 = op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f624,plain,
( spl4_81
| spl4_73
| spl4_2
| spl4_18 ),
inference(avatar_split_clause,[],[f212,f302,f234,f567,f605]) ).
fof(f212,plain,
( op(e0,e0) = e3
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f623,plain,
( ~ spl4_83
| ~ spl4_84
| ~ spl4_13 ),
inference(avatar_split_clause,[],[f172,f281,f620,f616]) ).
fof(f172,plain,
( e0 != op(e1,e1)
| e3 != op(op(e1,e1),e1)
| e2 != op(e1,op(e1,e1)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e3 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e2 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e2 = op(e1,op(e1,e1))
& e3 = op(op(e1,e1),e1)
& e0 = op(e1,e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f614,plain,
( spl4_80
| spl4_28
| spl4_82
| spl4_56 ),
inference(avatar_split_clause,[],[f76,f481,f611,f348,f600]) ).
fof(f76,plain,
( e2 = op(e1,e2)
| e3 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f609,plain,
( ~ spl4_16
| ~ spl4_1
| spl4_17
| spl4_15 ),
inference(avatar_split_clause,[],[f92,f290,f298,f230,f294]) ).
fof(f92,plain,
( sP0
| e3 = op(e2,e2)
| e0 != op(e0,e3)
| e3 != op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f608,plain,
( spl4_68
| spl4_81
| spl4_46
| spl4_41 ),
inference(avatar_split_clause,[],[f75,f407,f432,f605,f542]) ).
fof(f75,plain,
( e0 = op(e0,e1)
| e1 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f603,plain,
( spl4_74
| spl4_78
| spl4_47
| spl4_80 ),
inference(avatar_split_clause,[],[f226,f600,f437,f590,f571]) ).
fof(f226,plain,
( e0 = op(e1,e2)
| e0 = op(e2,e2)
| e0 = op(e3,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f598,plain,
( spl4_75
| spl4_2
| spl4_79
| spl4_16 ),
inference(avatar_split_clause,[],[f214,f294,f595,f234,f576]) ).
fof(f214,plain,
( e3 = op(e3,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f583,plain,
( spl4_75
| spl4_17
| spl4_76
| spl4_40 ),
inference(avatar_split_clause,[],[f204,f402,f580,f298,f576]) ).
fof(f204,plain,
( e3 = op(e2,e1)
| e3 = op(e2,e0)
| e3 = op(e2,e2)
| e3 = op(e2,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f574,plain,
( spl4_73
| spl4_57
| spl4_74
| spl4_34 ),
inference(avatar_split_clause,[],[f69,f374,f571,f485,f567]) ).
fof(f69,plain,
( e1 = op(e0,e2)
| e0 = op(e0,e2)
| e2 = op(e0,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f564,plain,
( spl4_9
| spl4_21
| spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f112,f272,f268,f316,f264]) ).
fof(f112,plain,
( e2 != op(e2,e2)
| e2 = op(e1,e1)
| e2 = op(e3,e3)
| sP2 ),
inference(cnf_transformation,[],[f58]) ).
fof(f545,plain,
( spl4_10
| spl4_51
| spl4_68
| spl4_39 ),
inference(avatar_split_clause,[],[f225,f398,f542,f455,f268]) ).
fof(f225,plain,
( e2 = op(e2,e1)
| e2 = op(e0,e1)
| e2 = op(e3,e1)
| e2 = op(e1,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f539,plain,
( ~ spl4_13
| ~ spl4_30
| ~ spl4_67 ),
inference(avatar_split_clause,[],[f194,f536,f357,f281]) ).
fof(f194,plain,
( e3 != op(e1,op(e1,e1))
| e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e2 != op(op(e1,e1),e1)
| e0 != op(e1,e1)
| e3 != op(e1,op(e1,e1)) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e0 = op(e1,e1)
& e3 = op(e1,op(e1,e1))
& e2 = op(op(e1,e1),e1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f534,plain,
( spl4_62
| spl4_29
| spl4_65
| spl4_66 ),
inference(avatar_split_clause,[],[f79,f531,f527,f352,f512]) ).
fof(f352,plain,
( spl4_29
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_29])]) ).
fof(f79,plain,
( e3 = op(e1,e0)
| e0 = op(e1,e0)
| e1 = op(e1,e0)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f525,plain,
( spl4_63
| spl4_36
| spl4_64
| spl4_1 ),
inference(avatar_split_clause,[],[f223,f230,f522,f384,f518]) ).
fof(f223,plain,
( e0 = op(e0,e3)
| e0 = op(e2,e3)
| e0 = op(e3,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f506,plain,
( spl4_12
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f88,f290,f277]) ).
fof(f88,plain,
( ~ sP0
| e3 = op(e1,e1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e3 = op(e1,e1)
& e1 != op(e1,e3) )
| ~ sP0 ),
inference(nnf_transformation,[],[f54]) ).
fof(f504,plain,
( spl4_14
| ~ spl4_42 ),
inference(avatar_split_clause,[],[f81,f411,f285]) ).
fof(f81,plain,
( ~ sP3
| e1 = op(e1,e1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f494,plain,
( spl4_42
| ~ spl4_35
| ~ spl4_41
| spl4_33 ),
inference(avatar_split_clause,[],[f119,f370,f407,f379,f411]) ).
fof(f119,plain,
( e1 = op(e2,e2)
| e0 != op(e0,e1)
| e3 != op(e3,e1)
| sP3 ),
inference(cnf_transformation,[],[f58]) ).
fof(f493,plain,
( ~ spl4_36
| ~ spl4_22
| ~ spl4_58 ),
inference(avatar_split_clause,[],[f189,f490,f322,f384]) ).
fof(f189,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e2 != op(e3,op(e3,e3))
| e1 != op(op(e3,e3),e3)
| e0 != op(e3,e3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e2 = op(e3,op(e3,e3))
& e0 = op(e3,e3)
& e1 = op(op(e3,e3),e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f468,plain,
( spl4_53
| ~ spl4_9 ),
inference(avatar_split_clause,[],[f83,f264,f465]) ).
fof(f83,plain,
( ~ sP2
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f60]) ).
fof(f463,plain,
( ~ spl4_1
| ~ spl4_52
| spl4_15
| spl4_16 ),
inference(avatar_split_clause,[],[f95,f294,f290,f460,f230]) ).
fof(f95,plain,
( e3 = op(e3,e3)
| sP0
| e2 != op(e2,e3)
| e0 != op(e0,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f458,plain,
( spl4_49
| spl4_50
| spl4_51
| spl4_21 ),
inference(avatar_split_clause,[],[f222,f316,f455,f451,f447]) ).
fof(f222,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e1)
| e2 = op(e3,e0)
| e2 = op(e3,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f445,plain,
( ~ spl4_48
| ~ spl4_20
| ~ spl4_36 ),
inference(avatar_split_clause,[],[f187,f384,f312,f442]) ).
fof(f187,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(op(e3,e3),e3) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e1 != op(e3,op(e3,e3))
| e0 != op(e3,e3)
| e2 != op(op(e3,e3),e3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e2 = op(op(e3,e3),e3)
& e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f440,plain,
( spl4_47
| ~ spl4_27
| spl4_25
| ~ spl4_26 ),
inference(avatar_split_clause,[],[f99,f339,f335,f343,f437]) ).
fof(f99,plain,
( e3 != op(e3,e0)
| sP1
| e0 != op(e0,e0)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f426,plain,
( spl4_44
| spl4_13
| spl4_41
| spl4_37 ),
inference(avatar_split_clause,[],[f221,f390,f407,f281,f423]) ).
fof(f221,plain,
( e0 = op(e2,e1)
| e0 = op(e0,e1)
| e0 = op(e1,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f421,plain,
( ~ spl4_39
| spl4_42
| spl4_43
| ~ spl4_35 ),
inference(avatar_split_clause,[],[f118,f379,f418,f411,f398]) ).
fof(f118,plain,
( e3 != op(e3,e1)
| op(e0,e0) = e1
| sP3
| e2 != op(e2,e1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f416,plain,
( spl4_21
| spl4_9
| spl4_11
| spl4_10 ),
inference(avatar_split_clause,[],[f110,f268,f272,f264,f316]) ).
fof(f110,plain,
( e2 = op(e1,e1)
| e2 = op(e2,e2)
| sP2
| e2 = op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f405,plain,
( spl4_37
| spl4_38
| spl4_39
| spl4_40 ),
inference(avatar_split_clause,[],[f65,f402,f398,f394,f390]) ).
fof(f65,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f388,plain,
( ~ spl4_29
| ~ spl4_25 ),
inference(avatar_split_clause,[],[f85,f335,f352]) ).
fof(f85,plain,
( ~ sP1
| e1 != op(e1,e0) ),
inference(cnf_transformation,[],[f61]) ).
fof(f382,plain,
( spl4_35
| spl4_26
| spl4_8
| spl4_16 ),
inference(avatar_split_clause,[],[f213,f294,f260,f339,f379]) ).
fof(f213,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e0)
| e3 = op(e3,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f320,plain,
( spl4_16
| spl4_17
| spl4_15
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f96,f230,f290,f298,f294]) ).
fof(f96,plain,
( e0 != op(e0,e3)
| sP0
| e3 = op(e2,e2)
| e3 = op(e3,e3) ),
inference(cnf_transformation,[],[f58]) ).
fof(f306,plain,
( ~ spl4_15
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f87,f255,f290]) ).
fof(f87,plain,
( e1 != op(e1,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f62]) ).
fof(f305,plain,
( spl4_15
| ~ spl4_16
| spl4_17
| spl4_18 ),
inference(avatar_split_clause,[],[f90,f302,f298,f294,f290]) ).
fof(f90,plain,
( op(e0,e0) = e3
| e3 = op(e2,e2)
| e3 != op(e3,e3)
| sP0 ),
inference(cnf_transformation,[],[f58]) ).
fof(f275,plain,
( ~ spl4_8
| spl4_9
| spl4_10
| spl4_11 ),
inference(avatar_split_clause,[],[f109,f272,f268,f264,f260]) ).
fof(f109,plain,
( e2 = op(e2,e2)
| e2 = op(e1,e1)
| sP2
| e3 != op(e3,e2) ),
inference(cnf_transformation,[],[f58]) ).
fof(f245,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f78,f242,f238,f234,f230]) ).
fof(f78,plain,
( e2 = op(e0,e3)
| e1 = op(e0,e3)
| e3 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG142+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 15:17:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.49 % (545)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.49 % (537)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.50 % (537)Instruction limit reached!
% 0.20/0.50 % (537)------------------------------
% 0.20/0.50 % (537)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (537)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (537)Termination reason: Unknown
% 0.20/0.50 % (537)Termination phase: Property scanning
% 0.20/0.50
% 0.20/0.50 % (537)Memory used [KB]: 1535
% 0.20/0.50 % (537)Time elapsed: 0.006 s
% 0.20/0.50 % (537)Instructions burned: 4 (million)
% 0.20/0.50 % (537)------------------------------
% 0.20/0.50 % (537)------------------------------
% 0.20/0.50 % (535)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.50 % (529)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50 % (529)Refutation not found, incomplete strategy% (529)------------------------------
% 0.20/0.50 % (529)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (529)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (529)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.50
% 0.20/0.50 % (529)Memory used [KB]: 5884
% 0.20/0.50 % (529)Time elapsed: 0.005 s
% 0.20/0.50 % (529)Instructions burned: 2 (million)
% 0.20/0.50 % (529)------------------------------
% 0.20/0.50 % (529)------------------------------
% 0.20/0.51 % (549)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.51 % (540)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.51 % (540)Instruction limit reached!
% 0.20/0.51 % (540)------------------------------
% 0.20/0.51 % (540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (540)Termination reason: Unknown
% 0.20/0.51 % (540)Termination phase: Property scanning
% 0.20/0.51
% 0.20/0.51 % (540)Memory used [KB]: 1535
% 0.20/0.51 % (540)Time elapsed: 0.005 s
% 0.20/0.51 % (540)Instructions burned: 4 (million)
% 0.20/0.51 % (540)------------------------------
% 0.20/0.51 % (540)------------------------------
% 0.20/0.51 % (525)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (525)Instruction limit reached!
% 0.20/0.52 % (525)------------------------------
% 0.20/0.52 % (525)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (525)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (525)Termination reason: Unknown
% 0.20/0.52 % (525)Termination phase: Property scanning
% 0.20/0.52
% 0.20/0.52 % (525)Memory used [KB]: 1535
% 0.20/0.52 % (525)Time elapsed: 0.003 s
% 0.20/0.52 % (525)Instructions burned: 4 (million)
% 0.20/0.52 % (525)------------------------------
% 0.20/0.52 % (525)------------------------------
% 1.32/0.52 % (535)Refutation not found, incomplete strategy% (535)------------------------------
% 1.32/0.52 % (535)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (535)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (535)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52
% 1.32/0.52 % (535)Memory used [KB]: 1663
% 1.32/0.52 % (535)Time elapsed: 0.010 s
% 1.32/0.52 % (535)Instructions burned: 11 (million)
% 1.32/0.52 % (535)------------------------------
% 1.32/0.52 % (535)------------------------------
% 1.32/0.52 % (548)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.52 % (550)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.52 % (524)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.32/0.52 % (524)Refutation not found, incomplete strategy% (524)------------------------------
% 1.32/0.52 % (524)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (524)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (524)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52
% 1.32/0.52 % (524)Memory used [KB]: 5884
% 1.32/0.52 % (524)Time elapsed: 0.002 s
% 1.32/0.52 % (524)Instructions burned: 2 (million)
% 1.32/0.52 % (524)------------------------------
% 1.32/0.52 % (524)------------------------------
% 1.32/0.52 % (526)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.52 % (528)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 1.32/0.52 % (527)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 1.32/0.52 % (526)Refutation not found, incomplete strategy% (526)------------------------------
% 1.32/0.52 % (526)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.52 % (526)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.52 % (526)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.52
% 1.32/0.52 % (526)Memory used [KB]: 5884
% 1.32/0.52 % (526)Time elapsed: 0.002 s
% 1.32/0.52 % (526)------------------------------
% 1.32/0.52 % (526)------------------------------
% 1.32/0.53 % (531)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.32/0.53 % (527)Refutation not found, incomplete strategy% (527)------------------------------
% 1.32/0.53 % (527)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (527)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (527)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (527)Memory used [KB]: 5884
% 1.32/0.53 % (527)Time elapsed: 0.003 s
% 1.32/0.53 % (527)Instructions burned: 2 (million)
% 1.32/0.53 % (527)------------------------------
% 1.32/0.53 % (527)------------------------------
% 1.32/0.53 % (531)Refutation not found, incomplete strategy% (531)------------------------------
% 1.32/0.53 % (531)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (531)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (531)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (531)Memory used [KB]: 5884
% 1.32/0.53 % (531)Time elapsed: 0.004 s
% 1.32/0.53 % (531)------------------------------
% 1.32/0.53 % (531)------------------------------
% 1.32/0.53 % (528)Refutation not found, incomplete strategy% (528)------------------------------
% 1.32/0.53 % (528)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (528)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (528)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (528)Memory used [KB]: 1663
% 1.32/0.53 % (528)Time elapsed: 0.005 s
% 1.32/0.53 % (528)Instructions burned: 8 (million)
% 1.32/0.53 % (528)------------------------------
% 1.32/0.53 % (528)------------------------------
% 1.32/0.53 % (523)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 1.32/0.53 % (544)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.32/0.53 % (539)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.53 % (543)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 1.32/0.53 % (541)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.53 % (543)Refutation not found, incomplete strategy% (543)------------------------------
% 1.32/0.53 % (543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (543)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (543)Memory used [KB]: 5884
% 1.32/0.53 % (543)Time elapsed: 0.002 s
% 1.32/0.53 % (543)Instructions burned: 1 (million)
% 1.32/0.53 % (543)------------------------------
% 1.32/0.53 % (543)------------------------------
% 1.32/0.53 % (541)Refutation not found, incomplete strategy% (541)------------------------------
% 1.32/0.53 % (541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.53 % (541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.53 % (541)Termination reason: Refutation not found, incomplete strategy
% 1.32/0.53
% 1.32/0.53 % (541)Memory used [KB]: 5884
% 1.32/0.53 % (541)Time elapsed: 0.001 s
% 1.32/0.53 % (541)------------------------------
% 1.32/0.53 % (541)------------------------------
% 1.32/0.53 % (538)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.53 % (530)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 1.51/0.54 % (533)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 1.51/0.54 % (536)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.51/0.54 % (534)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.51/0.54 % (552)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 1.51/0.54 % (536)Refutation not found, incomplete strategy% (536)------------------------------
% 1.51/0.54 % (536)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (536)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (536)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (536)Memory used [KB]: 5884
% 1.51/0.54 % (536)Time elapsed: 0.002 s
% 1.51/0.54 % (536)Instructions burned: 2 (million)
% 1.51/0.54 % (536)------------------------------
% 1.51/0.54 % (536)------------------------------
% 1.51/0.54 % (533)Refutation not found, incomplete strategy% (533)------------------------------
% 1.51/0.54 % (533)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (533)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (533)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (533)Memory used [KB]: 6140
% 1.51/0.54 % (533)Time elapsed: 0.004 s
% 1.51/0.54 % (533)Instructions burned: 9 (million)
% 1.51/0.54 % (533)------------------------------
% 1.51/0.54 % (533)------------------------------
% 1.51/0.54 % (552)Instruction limit reached!
% 1.51/0.54 % (552)------------------------------
% 1.51/0.54 % (552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (534)Instruction limit reached!
% 1.51/0.54 % (534)------------------------------
% 1.51/0.54 % (534)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (534)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (552)Termination reason: Unknown
% 1.51/0.54 % (534)Termination reason: Unknown
% 1.51/0.54 % (534)Termination phase: Saturation
% 1.51/0.54 % (552)Termination phase: Saturation
% 1.51/0.54
% 1.51/0.54
% 1.51/0.54 % (534)Memory used [KB]: 6140
% 1.51/0.54 % (552)Memory used [KB]: 1535
% 1.51/0.54 % (534)Time elapsed: 0.005 s
% 1.51/0.54 % (552)Time elapsed: 0.004 s
% 1.51/0.54 % (534)Instructions burned: 9 (million)
% 1.51/0.54 % (552)Instructions burned: 9 (million)
% 1.51/0.54 % (534)------------------------------
% 1.51/0.54 % (534)------------------------------
% 1.51/0.54 % (552)------------------------------
% 1.51/0.54 % (552)------------------------------
% 1.51/0.54 % (530)Refutation not found, incomplete strategy% (530)------------------------------
% 1.51/0.54 % (530)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (530)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (530)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (530)Memory used [KB]: 6268
% 1.51/0.54 % (530)Time elapsed: 0.007 s
% 1.51/0.54 % (553)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 1.51/0.54 % (530)Instructions burned: 11 (million)
% 1.51/0.54 % (530)------------------------------
% 1.51/0.54 % (530)------------------------------
% 1.51/0.54 % (553)Refutation not found, incomplete strategy% (553)------------------------------
% 1.51/0.54 % (553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (553)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (553)Memory used [KB]: 5884
% 1.51/0.54 % (553)Time elapsed: 0.003 s
% 1.51/0.54 % (553)------------------------------
% 1.51/0.54 % (553)------------------------------
% 1.51/0.54 % (550)Refutation not found, incomplete strategy% (550)------------------------------
% 1.51/0.54 % (550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (550)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (550)Memory used [KB]: 6268
% 1.51/0.54 % (550)Time elapsed: 0.009 s
% 1.51/0.54 % (550)Instructions burned: 15 (million)
% 1.51/0.54 % (550)------------------------------
% 1.51/0.54 % (550)------------------------------
% 1.51/0.54 % (548)Refutation not found, incomplete strategy% (548)------------------------------
% 1.51/0.54 % (548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (548)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (548)Memory used [KB]: 6396
% 1.51/0.54 % (548)Time elapsed: 0.154 s
% 1.51/0.54 % (548)Instructions burned: 15 (million)
% 1.51/0.54 % (548)------------------------------
% 1.51/0.54 % (548)------------------------------
% 1.51/0.54 % (542)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 1.51/0.54 % (546)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.51/0.54 % (542)Refutation not found, incomplete strategy% (542)------------------------------
% 1.51/0.54 % (542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.54 % (542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.54 % (542)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.54
% 1.51/0.54 % (542)Memory used [KB]: 5884
% 1.51/0.54 % (542)Time elapsed: 0.001 s
% 1.51/0.54 % (542)------------------------------
% 1.51/0.54 % (542)------------------------------
% 1.51/0.55 % (544)Refutation not found, incomplete strategy% (544)------------------------------
% 1.51/0.55 % (544)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (544)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (544)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55
% 1.51/0.55 % (544)Memory used [KB]: 6140
% 1.51/0.55 % (544)Time elapsed: 0.006 s
% 1.51/0.55 % (544)Instructions burned: 10 (million)
% 1.51/0.55 % (544)------------------------------
% 1.51/0.55 % (544)------------------------------
% 1.51/0.55 % (546)Refutation not found, incomplete strategy% (546)------------------------------
% 1.51/0.55 % (546)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (546)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (546)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55
% 1.51/0.55 % (546)Memory used [KB]: 1791
% 1.51/0.55 % (546)Time elapsed: 0.005 s
% 1.51/0.55 % (546)Instructions burned: 9 (million)
% 1.51/0.55 % (546)------------------------------
% 1.51/0.55 % (546)------------------------------
% 1.51/0.55 % (532)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 1.51/0.55 % (551)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 1.51/0.55 % (532)Refutation not found, incomplete strategy% (532)------------------------------
% 1.51/0.55 % (532)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (532)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (532)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55
% 1.51/0.55 % (532)Memory used [KB]: 5884
% 1.51/0.55 % (532)Time elapsed: 0.002 s
% 1.51/0.55 % (532)------------------------------
% 1.51/0.55 % (532)------------------------------
% 1.51/0.55 % (538)Instruction limit reached!
% 1.51/0.55 % (538)------------------------------
% 1.51/0.55 % (538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (538)Termination reason: Unknown
% 1.51/0.55 % (538)Termination phase: Saturation
% 1.51/0.55
% 1.51/0.55 % (538)Memory used [KB]: 6140
% 1.51/0.55 % (538)Time elapsed: 0.004 s
% 1.51/0.55 % (538)Instructions burned: 8 (million)
% 1.51/0.55 % (538)------------------------------
% 1.51/0.55 % (538)------------------------------
% 1.51/0.55 % (539)Refutation not found, incomplete strategy% (539)------------------------------
% 1.51/0.55 % (539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.55 % (539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.55 % (539)Termination reason: Refutation not found, incomplete strategy
% 1.51/0.55
% 1.51/0.55 % (539)Memory used [KB]: 6268
% 1.51/0.55 % (539)Time elapsed: 0.009 s
% 1.51/0.55 % (539)Instructions burned: 15 (million)
% 1.51/0.55 % (539)------------------------------
% 1.51/0.55 % (539)------------------------------
% 1.51/0.56 % (549)First to succeed.
% 1.51/0.57 % (549)Refutation found. Thanks to Tanya!
% 1.51/0.57 % SZS status Unsatisfiable for theBenchmark
% 1.51/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 1.51/0.58 % (549)------------------------------
% 1.51/0.58 % (549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.51/0.58 % (549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.51/0.58 % (549)Termination reason: Refutation
% 1.51/0.58
% 1.51/0.58 % (549)Memory used [KB]: 6908
% 1.51/0.58 % (549)Time elapsed: 0.050 s
% 1.51/0.58 % (549)Instructions burned: 39 (million)
% 1.51/0.58 % (549)------------------------------
% 1.51/0.58 % (549)------------------------------
% 1.51/0.58 % (522)Success in time 0.242 s
%------------------------------------------------------------------------------