TSTP Solution File: ALG065+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG065+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:17:48 EDT 2024
% Result : Theorem 0.79s 0.98s
% Output : Refutation 0.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 68
% Syntax : Number of formulae : 273 ( 51 unt; 0 def)
% Number of atoms : 1471 (1140 equ)
% Maximal formula atoms : 250 ( 5 avg)
% Number of connectives : 1753 ( 555 ~; 736 |; 411 &)
% ( 51 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 63 ( 61 usr; 62 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2517,plain,
$false,
inference(avatar_sat_refutation,[],[f436,f445,f446,f594,f738,f776,f778,f788,f795,f835,f865,f994,f1069,f1091,f1179,f1180,f1201,f1224,f1225,f1228,f1229,f1230,f1231,f1232,f1309,f1318,f1385,f1388,f1392,f1394,f1445,f1517,f1552,f1574,f1611,f1619,f1710,f1724,f1777,f1781,f1817,f1837,f1899,f1924,f2058,f2095,f2185,f2212,f2234,f2340,f2431,f2455]) ).
fof(f2455,plain,
~ spl10_155,
inference(avatar_contradiction_clause,[],[f2454]) ).
fof(f2454,plain,
( $false
| ~ spl10_155 ),
inference(subsumption_resolution,[],[f2453,f121]) ).
fof(f121,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f2453,plain,
( e0 = e3
| ~ spl10_155 ),
inference(backward_demodulation,[],[f118,f1090]) ).
fof(f1090,plain,
( e0 = op(e2,e4)
| ~ spl10_155 ),
inference(avatar_component_clause,[],[f1088]) ).
fof(f1088,plain,
( spl10_155
<=> e0 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_155])]) ).
fof(f118,plain,
e3 = op(e2,e4),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e3 = op(e2,e4)
& e1 = op(e4,e2)
& e0 = op(op(e4,e2),op(e4,e2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2431,plain,
( spl10_83
| ~ spl10_169 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| spl10_83
| ~ spl10_169 ),
inference(subsumption_resolution,[],[f2417,f718]) ).
fof(f718,plain,
( e1 != op(e1,e3)
| spl10_83 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f717,plain,
( spl10_83
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_83])]) ).
fof(f2417,plain,
( e1 = op(e1,e3)
| ~ spl10_169 ),
inference(backward_demodulation,[],[f282,f1174]) ).
fof(f1174,plain,
( e3 = unit
| ~ spl10_169 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1172,plain,
( spl10_169
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl10_169])]) ).
fof(f282,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2340,plain,
( ~ spl10_96
| ~ spl10_97 ),
inference(avatar_split_clause,[],[f2339,f806,f802]) ).
fof(f802,plain,
( spl10_96
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_96])]) ).
fof(f806,plain,
( spl10_97
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_97])]) ).
fof(f2339,plain,
( e4 != op(e0,e4)
| ~ spl10_97 ),
inference(forward_demodulation,[],[f169,f808]) ).
fof(f808,plain,
( e4 = op(e1,e4)
| ~ spl10_97 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f169,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f2234,plain,
~ spl10_170,
inference(avatar_contradiction_clause,[],[f2233]) ).
fof(f2233,plain,
( $false
| ~ spl10_170 ),
inference(subsumption_resolution,[],[f2232,f123]) ).
fof(f123,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f2232,plain,
( e1 = e2
| ~ spl10_170 ),
inference(forward_demodulation,[],[f2220,f117]) ).
fof(f117,plain,
e1 = op(e4,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f2220,plain,
( e2 = op(e4,e2)
| ~ spl10_170 ),
inference(backward_demodulation,[],[f283,f1178]) ).
fof(f1178,plain,
( e4 = unit
| ~ spl10_170 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl10_170
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl10_170])]) ).
fof(f283,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2212,plain,
( ~ spl10_165
| ~ spl10_153 ),
inference(avatar_split_clause,[],[f2211,f1080,f1154]) ).
fof(f1154,plain,
( spl10_165
<=> e0 = op(e0,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_165])]) ).
fof(f1080,plain,
( spl10_153
<=> e0 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_153])]) ).
fof(f2211,plain,
( e0 != op(e0,e0)
| ~ spl10_153 ),
inference(forward_demodulation,[],[f130,f1082]) ).
fof(f1082,plain,
( e0 = op(e2,e0)
| ~ spl10_153 ),
inference(avatar_component_clause,[],[f1080]) ).
fof(f130,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f2185,plain,
( ~ spl10_81
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f2184,f735,f708]) ).
fof(f708,plain,
( spl10_81
<=> e1 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_81])]) ).
fof(f735,plain,
( spl10_87
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_87])]) ).
fof(f2184,plain,
( e1 != op(e1,e4)
| ~ spl10_87 ),
inference(forward_demodulation,[],[f192,f737]) ).
fof(f737,plain,
( e1 = op(e1,e0)
| ~ spl10_87 ),
inference(avatar_component_clause,[],[f735]) ).
fof(f192,plain,
op(e1,e0) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2095,plain,
( ~ spl10_131
| ~ spl10_135 ),
inference(avatar_contradiction_clause,[],[f2094]) ).
fof(f2094,plain,
( $false
| ~ spl10_131
| ~ spl10_135 ),
inference(subsumption_resolution,[],[f2093,f119]) ).
fof(f119,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f2093,plain,
( e0 = e1
| ~ spl10_131
| ~ spl10_135 ),
inference(forward_demodulation,[],[f974,f993]) ).
fof(f993,plain,
( e0 = op(e2,e3)
| ~ spl10_135 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f991,plain,
( spl10_135
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_135])]) ).
fof(f974,plain,
( e1 = op(e2,e3)
| ~ spl10_131 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f972,plain,
( spl10_131
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_131])]) ).
fof(f2058,plain,
~ spl10_168,
inference(avatar_contradiction_clause,[],[f2057]) ).
fof(f2057,plain,
( $false
| ~ spl10_168 ),
inference(subsumption_resolution,[],[f2056,f125]) ).
fof(f125,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2056,plain,
( e1 = e4
| ~ spl10_168 ),
inference(forward_demodulation,[],[f2038,f117]) ).
fof(f2038,plain,
( e4 = op(e4,e2)
| ~ spl10_168 ),
inference(backward_demodulation,[],[f288,f1170]) ).
fof(f1170,plain,
( e2 = unit
| ~ spl10_168 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1168,plain,
( spl10_168
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl10_168])]) ).
fof(f288,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1924,plain,
~ spl10_150,
inference(avatar_contradiction_clause,[],[f1923]) ).
fof(f1923,plain,
( $false
| ~ spl10_150 ),
inference(subsumption_resolution,[],[f1922,f124]) ).
fof(f124,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1922,plain,
( e1 = e3
| ~ spl10_150 ),
inference(backward_demodulation,[],[f118,f1068]) ).
fof(f1068,plain,
( e1 = op(e2,e4)
| ~ spl10_150 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1066,plain,
( spl10_150
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_150])]) ).
fof(f1899,plain,
( ~ spl10_86
| ~ spl10_167 ),
inference(avatar_contradiction_clause,[],[f1898]) ).
fof(f1898,plain,
( $false
| ~ spl10_86
| ~ spl10_167 ),
inference(subsumption_resolution,[],[f1897,f119]) ).
fof(f1897,plain,
( e0 = e1
| ~ spl10_86
| ~ spl10_167 ),
inference(forward_demodulation,[],[f1884,f732]) ).
fof(f732,plain,
( e0 = op(e1,e1)
| ~ spl10_86 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl10_86
<=> e0 = op(e1,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_86])]) ).
fof(f1884,plain,
( e1 = op(e1,e1)
| ~ spl10_167 ),
inference(backward_demodulation,[],[f282,f1166]) ).
fof(f1166,plain,
( e1 = unit
| ~ spl10_167 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl10_167
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl10_167])]) ).
fof(f1837,plain,
( ~ spl10_86
| ~ spl10_111 ),
inference(avatar_contradiction_clause,[],[f1836]) ).
fof(f1836,plain,
( $false
| ~ spl10_86
| ~ spl10_111 ),
inference(subsumption_resolution,[],[f1835,f732]) ).
fof(f1835,plain,
( e0 != op(e1,e1)
| ~ spl10_111 ),
inference(forward_demodulation,[],[f195,f882]) ).
fof(f882,plain,
( e0 = op(e1,e4)
| ~ spl10_111 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f880,plain,
( spl10_111
<=> e0 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_111])]) ).
fof(f195,plain,
op(e1,e1) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1817,plain,
( ~ spl10_108
| ~ spl10_115 ),
inference(avatar_contradiction_clause,[],[f1816]) ).
fof(f1816,plain,
( $false
| ~ spl10_108
| ~ spl10_115 ),
inference(subsumption_resolution,[],[f1815,f120]) ).
fof(f120,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f1815,plain,
( e0 = e2
| ~ spl10_108
| ~ spl10_115 ),
inference(backward_demodulation,[],[f864,f901]) ).
fof(f901,plain,
( e0 = op(e4,e3)
| ~ spl10_115 ),
inference(avatar_component_clause,[],[f899]) ).
fof(f899,plain,
( spl10_115
<=> e0 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_115])]) ).
fof(f864,plain,
( e2 = op(e4,e3)
| ~ spl10_108 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl10_108
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_108])]) ).
fof(f1781,plain,
( ~ spl10_99
| ~ spl10_63 ),
inference(avatar_split_clause,[],[f1780,f627,f814]) ).
fof(f814,plain,
( spl10_99
<=> e4 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_99])]) ).
fof(f627,plain,
( spl10_63
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_63])]) ).
fof(f1780,plain,
( e4 != op(e4,e4)
| ~ spl10_63 ),
inference(forward_demodulation,[],[f222,f629]) ).
fof(f629,plain,
( e4 = op(e4,e0)
| ~ spl10_63 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f222,plain,
op(e4,e0) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1777,plain,
( ~ spl10_62
| spl10_55
| ~ spl10_63 ),
inference(avatar_split_clause,[],[f1768,f627,f588,f623]) ).
fof(f623,plain,
( spl10_62
<=> e0 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_62])]) ).
fof(f588,plain,
( spl10_55
<=> e0 = op(e4,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_55])]) ).
fof(f1768,plain,
( e0 != op(e4,e4)
| spl10_55
| ~ spl10_63 ),
inference(forward_demodulation,[],[f590,f629]) ).
fof(f590,plain,
( e0 != op(e4,op(e4,e0))
| spl10_55 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f1724,plain,
( spl10_54
| ~ spl10_70
| ~ spl10_71 ),
inference(avatar_contradiction_clause,[],[f1723]) ).
fof(f1723,plain,
( $false
| spl10_54
| ~ spl10_70
| ~ spl10_71 ),
inference(subsumption_resolution,[],[f1722,f660]) ).
fof(f660,plain,
( e0 = op(e3,e3)
| ~ spl10_70 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f659,plain,
( spl10_70
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_70])]) ).
fof(f1722,plain,
( e0 != op(e3,e3)
| spl10_54
| ~ spl10_71 ),
inference(forward_demodulation,[],[f584,f665]) ).
fof(f665,plain,
( e3 = op(e3,e0)
| ~ spl10_71 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f663,plain,
( spl10_71
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_71])]) ).
fof(f584,plain,
( e0 != op(e3,op(e3,e0))
| spl10_54 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f582,plain,
( spl10_54
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_54])]) ).
fof(f1710,plain,
( ~ spl10_101
| ~ spl10_107 ),
inference(avatar_contradiction_clause,[],[f1709]) ).
fof(f1709,plain,
( $false
| ~ spl10_101
| ~ spl10_107 ),
inference(subsumption_resolution,[],[f1708,f126]) ).
fof(f126,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f1708,plain,
( e2 = e3
| ~ spl10_101
| ~ spl10_107 ),
inference(forward_demodulation,[],[f830,f860]) ).
fof(f860,plain,
( e2 = op(e4,e1)
| ~ spl10_107 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f858,plain,
( spl10_107
<=> e2 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_107])]) ).
fof(f830,plain,
( e3 = op(e4,e1)
| ~ spl10_101 ),
inference(avatar_component_clause,[],[f828]) ).
fof(f828,plain,
( spl10_101
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_101])]) ).
fof(f1619,plain,
( spl10_53
| ~ spl10_78
| ~ spl10_79 ),
inference(avatar_contradiction_clause,[],[f1618]) ).
fof(f1618,plain,
( $false
| spl10_53
| ~ spl10_78
| ~ spl10_79 ),
inference(subsumption_resolution,[],[f1617,f696]) ).
fof(f696,plain,
( e0 = op(e2,e2)
| ~ spl10_78 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f695,plain,
( spl10_78
<=> e0 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_78])]) ).
fof(f1617,plain,
( e0 != op(e2,e2)
| spl10_53
| ~ spl10_79 ),
inference(forward_demodulation,[],[f579,f701]) ).
fof(f701,plain,
( e2 = op(e2,e0)
| ~ spl10_79 ),
inference(avatar_component_clause,[],[f699]) ).
fof(f699,plain,
( spl10_79
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_79])]) ).
fof(f579,plain,
( e0 != op(e2,op(e2,e0))
| spl10_53 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl10_53
<=> e0 = op(e2,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_53])]) ).
fof(f1611,plain,
( ~ spl10_63
| ~ spl10_100 ),
inference(avatar_contradiction_clause,[],[f1610]) ).
fof(f1610,plain,
( $false
| ~ spl10_63
| ~ spl10_100 ),
inference(subsumption_resolution,[],[f1609,f128]) ).
fof(f128,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f1609,plain,
( e3 = e4
| ~ spl10_63
| ~ spl10_100 ),
inference(forward_demodulation,[],[f629,f826]) ).
fof(f826,plain,
( e3 = op(e4,e0)
| ~ spl10_100 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f824,plain,
( spl10_100
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_100])]) ).
fof(f1574,plain,
( ~ spl10_91
| ~ spl10_122 ),
inference(avatar_contradiction_clause,[],[f1573]) ).
fof(f1573,plain,
( $false
| ~ spl10_91
| ~ spl10_122 ),
inference(subsumption_resolution,[],[f1572,f121]) ).
fof(f1572,plain,
( e0 = e3
| ~ spl10_91
| ~ spl10_122 ),
inference(forward_demodulation,[],[f933,f755]) ).
fof(f755,plain,
( e0 = op(e0,e3)
| ~ spl10_91 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f753,plain,
( spl10_91
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_91])]) ).
fof(f933,plain,
( e3 = op(e0,e3)
| ~ spl10_122 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f931,plain,
( spl10_122
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_122])]) ).
fof(f1552,plain,
( ~ spl10_149
| ~ spl10_162 ),
inference(avatar_split_clause,[],[f1546,f1126,f1062]) ).
fof(f1062,plain,
( spl10_149
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_149])]) ).
fof(f1126,plain,
( spl10_162
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_162])]) ).
fof(f1546,plain,
( e1 != op(e2,e1)
| ~ spl10_162 ),
inference(backward_demodulation,[],[f140,f1128]) ).
fof(f1128,plain,
( e1 = op(e0,e1)
| ~ spl10_162 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f140,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1517,plain,
( ~ spl10_106
| ~ spl10_79 ),
inference(avatar_split_clause,[],[f1516,f699,f854]) ).
fof(f854,plain,
( spl10_106
<=> e2 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_106])]) ).
fof(f1516,plain,
( e2 != op(e4,e0)
| ~ spl10_79 ),
inference(forward_demodulation,[],[f137,f701]) ).
fof(f137,plain,
op(e2,e0) != op(e4,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1445,plain,
( spl10_26
| ~ spl10_86
| ~ spl10_87 ),
inference(avatar_contradiction_clause,[],[f1444]) ).
fof(f1444,plain,
( $false
| spl10_26
| ~ spl10_86
| ~ spl10_87 ),
inference(subsumption_resolution,[],[f1443,f732]) ).
fof(f1443,plain,
( e0 != op(e1,e1)
| spl10_26
| ~ spl10_87 ),
inference(forward_demodulation,[],[f435,f737]) ).
fof(f435,plain,
( e0 != op(e1,op(e1,e0))
| spl10_26 ),
inference(avatar_component_clause,[],[f433]) ).
fof(f433,plain,
( spl10_26
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_26])]) ).
fof(f1394,plain,
( ~ spl10_134
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f1391,f731,f987]) ).
fof(f987,plain,
( spl10_134
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_134])]) ).
fof(f1391,plain,
( e0 != op(e1,e3)
| ~ spl10_86 ),
inference(backward_demodulation,[],[f194,f732]) ).
fof(f194,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1392,plain,
( ~ spl10_154
| ~ spl10_86 ),
inference(avatar_split_clause,[],[f1389,f731,f1084]) ).
fof(f1084,plain,
( spl10_154
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_154])]) ).
fof(f1389,plain,
( e0 != op(e2,e1)
| ~ spl10_86 ),
inference(backward_demodulation,[],[f143,f732]) ).
fof(f143,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1388,plain,
( ~ spl10_83
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f1384,f735,f717]) ).
fof(f1384,plain,
( e1 != op(e1,e3)
| ~ spl10_87 ),
inference(backward_demodulation,[],[f191,f737]) ).
fof(f191,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1385,plain,
( ~ spl10_148
| ~ spl10_87 ),
inference(avatar_split_clause,[],[f1381,f735,f1058]) ).
fof(f1058,plain,
( spl10_148
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_148])]) ).
fof(f1381,plain,
( e1 != op(e2,e0)
| ~ spl10_87 ),
inference(backward_demodulation,[],[f133,f737]) ).
fof(f133,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f1318,plain,
( ~ spl10_122
| ~ spl10_102 ),
inference(avatar_split_clause,[],[f1313,f832,f931]) ).
fof(f832,plain,
( spl10_102
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_102])]) ).
fof(f1313,plain,
( e3 != op(e0,e3)
| ~ spl10_102 ),
inference(backward_demodulation,[],[f162,f834]) ).
fof(f834,plain,
( e3 = op(e4,e3)
| ~ spl10_102 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f162,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1309,plain,
( ~ spl10_58
| ~ spl10_104 ),
inference(avatar_split_clause,[],[f1302,f843,f605]) ).
fof(f605,plain,
( spl10_58
<=> e2 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_58])]) ).
fof(f843,plain,
( spl10_104
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_104])]) ).
fof(f1302,plain,
( e2 != op(e4,e4)
| ~ spl10_104 ),
inference(backward_demodulation,[],[f175,f845]) ).
fof(f845,plain,
( e2 = op(e1,e4)
| ~ spl10_104 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f175,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1232,plain,
( spl10_63
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1222,f1160,f627]) ).
fof(f1160,plain,
( spl10_166
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl10_166])]) ).
fof(f1222,plain,
( e4 = op(e4,e0)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f288,f1162]) ).
fof(f1162,plain,
( e0 = unit
| ~ spl10_166 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1231,plain,
( spl10_96
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1221,f1160,f802]) ).
fof(f1221,plain,
( e4 = op(e0,e4)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f287,f1162]) ).
fof(f287,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f1230,plain,
( spl10_71
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1220,f1160,f663]) ).
fof(f1220,plain,
( e3 = op(e3,e0)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f286,f1162]) ).
fof(f286,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1229,plain,
( spl10_122
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1219,f1160,f931]) ).
fof(f1219,plain,
( e3 = op(e0,e3)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f285,f1162]) ).
fof(f285,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f1228,plain,
( spl10_79
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1218,f1160,f699]) ).
fof(f1218,plain,
( e2 = op(e2,e0)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f284,f1162]) ).
fof(f284,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1225,plain,
( spl10_162
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1215,f1160,f1126]) ).
fof(f1215,plain,
( e1 = op(e0,e1)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f281,f1162]) ).
fof(f281,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1224,plain,
( spl10_165
| ~ spl10_166 ),
inference(avatar_split_clause,[],[f1214,f1160,f1154]) ).
fof(f1214,plain,
( e0 = op(e0,e0)
| ~ spl10_166 ),
inference(backward_demodulation,[],[f280,f1162]) ).
fof(f280,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1201,plain,
( spl10_111
| spl10_81
| spl10_104
| spl10_97 ),
inference(avatar_split_clause,[],[f1200,f806,f843,f708,f880]) ).
fof(f1200,plain,
( e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f299,f791]) ).
fof(f791,plain,
e3 != op(e1,e4),
inference(forward_demodulation,[],[f173,f118]) ).
fof(f173,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f299,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1180,plain,
( spl10_62
| spl10_60
| spl10_58
| spl10_56
| spl10_99 ),
inference(avatar_split_clause,[],[f314,f814,f596,f605,f614,f623]) ).
fof(f614,plain,
( spl10_60
<=> e1 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_60])]) ).
fof(f596,plain,
( spl10_56
<=> e3 = op(e4,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_56])]) ).
fof(f314,plain,
( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1179,plain,
( spl10_166
| spl10_167
| spl10_168
| spl10_169
| spl10_170 ),
inference(avatar_split_clause,[],[f289,f1176,f1172,f1168,f1164,f1160]) ).
fof(f289,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1091,plain,
( spl10_153
| spl10_154
| spl10_78
| spl10_135
| spl10_155 ),
inference(avatar_split_clause,[],[f249,f1088,f991,f695,f1084,f1080]) ).
fof(f249,plain,
( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1069,plain,
( spl10_148
| spl10_149
| spl10_76
| spl10_131
| spl10_150 ),
inference(avatar_split_clause,[],[f251,f1066,f972,f686,f1062,f1058]) ).
fof(f686,plain,
( spl10_76
<=> e1 = op(e2,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_76])]) ).
fof(f251,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f994,plain,
( spl10_91
| spl10_134
| spl10_135
| spl10_70
| spl10_115 ),
inference(avatar_split_clause,[],[f260,f899,f659,f991,f987,f753]) ).
fof(f260,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f865,plain,
( spl10_106
| spl10_107
| spl10_108
| spl10_58 ),
inference(avatar_split_clause,[],[f852,f605,f862,f858,f854]) ).
fof(f852,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(subsumption_resolution,[],[f851,f123]) ).
fof(f851,plain,
( e1 = e2
| e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(forward_demodulation,[],[f273,f117]) ).
fof(f273,plain,
( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f835,plain,
( spl10_100
| spl10_101
| spl10_102
| spl10_56 ),
inference(avatar_split_clause,[],[f822,f596,f832,f828,f824]) ).
fof(f822,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f821,f124]) ).
fof(f821,plain,
( e1 = e3
| e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f275,f117]) ).
fof(f275,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f795,plain,
~ spl10_76,
inference(avatar_split_clause,[],[f794,f686]) ).
fof(f794,plain,
e1 != op(e2,e2),
inference(forward_demodulation,[],[f157,f117]) ).
fof(f157,plain,
op(e2,e2) != op(e4,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f788,plain,
~ spl10_56,
inference(avatar_split_clause,[],[f787,f596]) ).
fof(f787,plain,
e3 != op(e4,e4),
inference(forward_demodulation,[],[f177,f118]) ).
fof(f177,plain,
op(e2,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f778,plain,
~ spl10_60,
inference(avatar_split_clause,[],[f777,f614]) ).
fof(f777,plain,
e1 != op(e4,e4),
inference(forward_demodulation,[],[f227,f117]) ).
fof(f227,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f776,plain,
spl10_86,
inference(avatar_split_clause,[],[f775,f731]) ).
fof(f775,plain,
e0 = op(e1,e1),
inference(forward_demodulation,[],[f116,f117]) ).
fof(f116,plain,
e0 = op(op(e4,e2),op(e4,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f738,plain,
( ~ spl10_86
| spl10_87 ),
inference(avatar_split_clause,[],[f56,f735,f731]) ).
fof(f56,plain,
( e1 = op(e1,e0)
| e0 != op(e1,e1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| sP9
| sP8 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| sP7
| sP6 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| sP5
| sP4 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| sP3
| sP2 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| sP1
| sP0 )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(definition_folding,[],[f9,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f9,plain,
( ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) )
& ( e4 = op(e4,e4)
| e4 != op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 != op(e4,e4) )
& ( e4 = op(e4,e2)
| e2 != op(e4,e4) )
& ( e4 = op(e4,e1)
| e1 != op(e4,e4) )
& ( e4 = op(e4,e0)
| e0 != op(e4,e4) )
& ( e3 = op(e3,e4)
| e4 != op(e3,e3) )
& ( e3 = op(e3,e3)
| e3 != op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 != op(e3,e3) )
& ( e3 = op(e3,e1)
| e1 != op(e3,e3) )
& ( e3 = op(e3,e0)
| e0 != op(e3,e3) )
& ( e2 = op(e2,e4)
| e4 != op(e2,e2) )
& ( e2 = op(e2,e3)
| e3 != op(e2,e2) )
& ( e2 = op(e2,e2)
| e2 != op(e2,e2) )
& ( e2 = op(e2,e1)
| e1 != op(e2,e2) )
& ( e2 = op(e2,e0)
| e0 != op(e2,e2) )
& ( e1 = op(e1,e4)
| e4 != op(e1,e1) )
& ( e1 = op(e1,e3)
| e3 != op(e1,e1) )
& ( e1 = op(e1,e2)
| e2 != op(e1,e1) )
& ( e1 = op(e1,e1)
| e1 != op(e1,e1) )
& ( e1 = op(e1,e0)
| e0 != op(e1,e1) )
& ( e0 = op(e0,e4)
| op(e0,e0) != e4 )
& ( e0 = op(e0,e3)
| op(e0,e0) != e3 )
& ( e0 = op(e0,e2)
| op(e0,e0) != e2 )
& ( e0 = op(e0,e1)
| op(e0,e0) != e1 )
& ( e0 = op(e0,e0)
| e0 != op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f594,plain,
( spl10_27
| spl10_24
| ~ spl10_53
| ~ spl10_54
| ~ spl10_55 ),
inference(avatar_split_clause,[],[f76,f588,f582,f577,f424,f438]) ).
fof(f438,plain,
( spl10_27
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_27])]) ).
fof(f424,plain,
( spl10_24
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl10_24])]) ).
fof(f76,plain,
( e0 != op(e4,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e0 != op(e2,op(e2,e0))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f446,plain,
( ~ spl10_27
| ~ spl10_28 ),
inference(avatar_split_clause,[],[f49,f442,f438]) ).
fof(f442,plain,
( spl10_28
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f49,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f445,plain,
( ~ spl10_27
| spl10_28 ),
inference(avatar_split_clause,[],[f50,f442,f438]) ).
fof(f50,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f30]) ).
fof(f436,plain,
( ~ spl10_24
| ~ spl10_26 ),
inference(avatar_split_clause,[],[f47,f433,f424]) ).
fof(f47,plain,
( e0 != op(e1,op(e1,e0))
| ~ sP1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
( ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG065+1 : TPTP v8.2.0. Released v2.7.0.
% 0.07/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 22:45:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_PEQ problem
% 0.14/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.79/0.94 % (22495)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2994ds/34Mi)
% 0.79/0.94 % (22497)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2994ds/78Mi)
% 0.79/0.94 % (22496)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2994ds/51Mi)
% 0.79/0.94 % (22498)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2994ds/33Mi)
% 0.79/0.94 % (22499)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2994ds/34Mi)
% 0.79/0.94 % (22500)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2994ds/45Mi)
% 0.79/0.94 % (22501)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2994ds/83Mi)
% 0.79/0.94 % (22502)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2994ds/56Mi)
% 0.79/0.95 % (22502)Refutation not found, incomplete strategy% (22502)------------------------------
% 0.79/0.95 % (22502)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.95 % (22502)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.95
% 0.79/0.95 % (22502)Memory used [KB]: 1299
% 0.79/0.95 % (22502)Time elapsed: 0.011 s
% 0.79/0.95 % (22502)Instructions burned: 22 (million)
% 0.79/0.95 % (22502)------------------------------
% 0.79/0.95 % (22502)------------------------------
% 0.79/0.95 % (22499)Refutation not found, incomplete strategy% (22499)------------------------------
% 0.79/0.95 % (22499)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.95 % (22499)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.95
% 0.79/0.95 % (22499)Memory used [KB]: 1388
% 0.79/0.95 % (22499)Time elapsed: 0.013 s
% 0.79/0.95 % (22499)Instructions burned: 24 (million)
% 0.79/0.95 % (22499)------------------------------
% 0.79/0.95 % (22499)------------------------------
% 0.79/0.95 % (22495)Refutation not found, incomplete strategy% (22495)------------------------------
% 0.79/0.95 % (22495)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.95 % (22495)Termination reason: Refutation not found, incomplete strategy
% 0.79/0.95
% 0.79/0.95 % (22495)Memory used [KB]: 1459
% 0.79/0.95 % (22495)Time elapsed: 0.014 s
% 0.79/0.95 % (22495)Instructions burned: 28 (million)
% 0.79/0.95 % (22495)------------------------------
% 0.79/0.95 % (22495)------------------------------
% 0.79/0.96 % (22503)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2994ds/55Mi)
% 0.79/0.96 % (22505)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2994ds/50Mi)
% 0.79/0.96 % (22498)Instruction limit reached!
% 0.79/0.96 % (22498)------------------------------
% 0.79/0.96 % (22498)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (22498)Termination reason: Unknown
% 0.79/0.96 % (22498)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (22498)Memory used [KB]: 1563
% 0.79/0.96 % (22498)Time elapsed: 0.018 s
% 0.79/0.96 % (22498)Instructions burned: 34 (million)
% 0.79/0.96 % (22498)------------------------------
% 0.79/0.96 % (22498)------------------------------
% 0.79/0.96 % (22506)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2994ds/208Mi)
% 0.79/0.96 % (22507)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2994ds/52Mi)
% 0.79/0.96 % (22500)Instruction limit reached!
% 0.79/0.96 % (22500)------------------------------
% 0.79/0.96 % (22500)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.96 % (22500)Termination reason: Unknown
% 0.79/0.96 % (22500)Termination phase: Saturation
% 0.79/0.96
% 0.79/0.96 % (22500)Memory used [KB]: 1590
% 0.79/0.96 % (22500)Time elapsed: 0.022 s
% 0.79/0.96 % (22500)Instructions burned: 47 (million)
% 0.79/0.96 % (22500)------------------------------
% 0.79/0.96 % (22500)------------------------------
% 0.79/0.97 % (22508)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2994ds/518Mi)
% 0.79/0.97 % (22496)Instruction limit reached!
% 0.79/0.97 % (22496)------------------------------
% 0.79/0.97 % (22496)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.97 % (22496)Termination reason: Unknown
% 0.79/0.97 % (22496)Termination phase: Saturation
% 0.79/0.97
% 0.79/0.97 % (22496)Memory used [KB]: 1976
% 0.79/0.97 % (22496)Time elapsed: 0.027 s
% 0.79/0.97 % (22496)Instructions burned: 52 (million)
% 0.79/0.97 % (22496)------------------------------
% 0.79/0.97 % (22496)------------------------------
% 0.79/0.97 % (22509)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2994ds/42Mi)
% 0.79/0.98 % (22497)First to succeed.
% 0.79/0.98 % (22505)Instruction limit reached!
% 0.79/0.98 % (22505)------------------------------
% 0.79/0.98 % (22505)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98 % (22505)Termination reason: Unknown
% 0.79/0.98 % (22505)Termination phase: Saturation
% 0.79/0.98
% 0.79/0.98 % (22505)Memory used [KB]: 2536
% 0.79/0.98 % (22505)Time elapsed: 0.023 s
% 0.79/0.98 % (22505)Instructions burned: 50 (million)
% 0.79/0.98 % (22505)------------------------------
% 0.79/0.98 % (22505)------------------------------
% 0.79/0.98 % (22503)Instruction limit reached!
% 0.79/0.98 % (22503)------------------------------
% 0.79/0.98 % (22503)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98 % (22503)Termination reason: Unknown
% 0.79/0.98 % (22503)Termination phase: Saturation
% 0.79/0.98
% 0.79/0.98 % (22503)Memory used [KB]: 3334
% 0.79/0.98 % (22503)Time elapsed: 0.027 s
% 0.79/0.98 % (22503)Instructions burned: 56 (million)
% 0.79/0.98 % (22503)------------------------------
% 0.79/0.98 % (22503)------------------------------
% 0.79/0.98 % (22497)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22494"
% 0.79/0.98 % (22510)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2994ds/243Mi)
% 0.79/0.98 % (22497)Refutation found. Thanks to Tanya!
% 0.79/0.98 % SZS status Theorem for theBenchmark
% 0.79/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 0.79/0.98 % (22497)------------------------------
% 0.79/0.98 % (22497)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.98 % (22497)Termination reason: Refutation
% 0.79/0.98
% 0.79/0.98 % (22497)Memory used [KB]: 1798
% 0.79/0.98 % (22497)Time elapsed: 0.041 s
% 0.79/0.98 % (22497)Instructions burned: 82 (million)
% 0.79/0.98 % (22494)Success in time 0.6 s
% 0.79/0.98 % Vampire---4.8 exiting
%------------------------------------------------------------------------------