TSTP Solution File: ALG121+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG121+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 : n021.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 18:18:18 EDT 2024
% Result : Theorem 0.68s 0.79s
% Output : Refutation 0.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 145
% Syntax : Number of formulae : 564 ( 108 unt; 0 def)
% Number of atoms : 2731 (1909 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3323 (1156 ~;1414 |; 665 &)
% ( 88 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 132 ( 130 usr; 131 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3063,plain,
$false,
inference(avatar_sat_refutation,[],[f624,f658,f687,f989,f1389,f1399,f1422,f1427,f1431,f1433,f1435,f1444,f1446,f1459,f1480,f1481,f1489,f1544,f1564,f1567,f1577,f1578,f1581,f1587,f1836,f1841,f1880,f1883,f1884,f1886,f1887,f1888,f1889,f1893,f1906,f1908,f1936,f1943,f1952,f1979,f2008,f2011,f2013,f2019,f2025,f2034,f2062,f2078,f2089,f2132,f2137,f2159,f2185,f2192,f2216,f2240,f2258,f2261,f2271,f2294,f2305,f2308,f2363,f2365,f2374,f2382,f2386,f2400,f2440,f2442,f2482,f2491,f2536,f2574,f2611,f2649,f2688,f2727,f2764,f2805,f2841,f2881,f2921,f2962,f2981,f3011,f3028,f3031,f3059]) ).
fof(f3059,plain,
( ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_150
| ~ spl42_220 ),
inference(avatar_contradiction_clause,[],[f3058]) ).
fof(f3058,plain,
( $false
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_150
| ~ spl42_220 ),
inference(subsumption_resolution,[],[f3057,f1708]) ).
fof(f1708,plain,
( e22 = op2(e22,e20)
| ~ spl42_220 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f1706,plain,
( spl42_220
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_220])]) ).
fof(f3057,plain,
( e22 != op2(e22,e20)
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_150 ),
inference(forward_demodulation,[],[f3056,f622]) ).
fof(f622,plain,
( e22 = h3(e13)
| ~ spl42_17 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f621,plain,
( spl42_17
<=> e22 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_17])]) ).
fof(f3056,plain,
( op2(e22,e20) != h3(e13)
| ~ spl42_17
| ~ spl42_30
| spl42_93
| ~ spl42_150 ),
inference(forward_demodulation,[],[f3055,f1219]) ).
fof(f1219,plain,
( e13 = op1(e13,e10)
| ~ spl42_150 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1217,plain,
( spl42_150
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_150])]) ).
fof(f3055,plain,
( op2(e22,e20) != h3(op1(e13,e10))
| ~ spl42_17
| ~ spl42_30
| spl42_93 ),
inference(forward_demodulation,[],[f3054,f622]) ).
fof(f3054,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| ~ spl42_30
| spl42_93 ),
inference(forward_demodulation,[],[f967,f685]) ).
fof(f685,plain,
( e20 = h3(e10)
| ~ spl42_30 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f684,plain,
( spl42_30
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_30])]) ).
fof(f967,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl42_93 ),
inference(avatar_component_clause,[],[f965]) ).
fof(f965,plain,
( spl42_93
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_93])]) ).
fof(f3031,plain,
( ~ spl42_239
| spl42_241
| ~ spl42_262 ),
inference(avatar_contradiction_clause,[],[f3030]) ).
fof(f3030,plain,
( $false
| ~ spl42_239
| spl42_241
| ~ spl42_262 ),
inference(subsumption_resolution,[],[f3029,f1831]) ).
fof(f1831,plain,
( e20 != e22
| spl42_241 ),
inference(avatar_component_clause,[],[f1829]) ).
fof(f1829,plain,
( spl42_241
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_241])]) ).
fof(f3029,plain,
( e20 = e22
| ~ spl42_239
| ~ spl42_262 ),
inference(forward_demodulation,[],[f1994,f1809]) ).
fof(f1809,plain,
( e20 = op2(e20,e21)
| ~ spl42_239 ),
inference(avatar_component_clause,[],[f1807]) ).
fof(f1807,plain,
( spl42_239
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_239])]) ).
fof(f1994,plain,
( e22 = op2(e20,e21)
| ~ spl42_262 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1992,plain,
( spl42_262
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_262])]) ).
fof(f3028,plain,
( ~ spl42_254
| ~ spl42_208 ),
inference(avatar_split_clause,[],[f2288,f1643,f1945]) ).
fof(f1945,plain,
( spl42_254
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_254])]) ).
fof(f1643,plain,
( spl42_208
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_208])]) ).
fof(f2288,plain,
( e23 != op2(e20,e22)
| ~ spl42_208 ),
inference(forward_demodulation,[],[f461,f1645]) ).
fof(f1645,plain,
( e23 = op2(e20,e23)
| ~ spl42_208 ),
inference(avatar_component_clause,[],[f1643]) ).
fof(f461,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e23,e22) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e21,e20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3011,plain,
( ~ spl42_30
| spl42_91
| ~ spl42_98
| ~ spl42_181 ),
inference(avatar_contradiction_clause,[],[f3010]) ).
fof(f3010,plain,
( $false
| ~ spl42_30
| spl42_91
| ~ spl42_98
| ~ spl42_181 ),
inference(subsumption_resolution,[],[f3009,f342]) ).
fof(f342,plain,
e20 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23)
& e21 = op2(op2(e23,e23),op2(e23,e23))
& e20 = op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f3009,plain,
( e20 != op2(e23,e23)
| ~ spl42_30
| spl42_91
| ~ spl42_98
| ~ spl42_181 ),
inference(forward_demodulation,[],[f3008,f685]) ).
fof(f3008,plain,
( op2(e23,e23) != h3(e10)
| spl42_91
| ~ spl42_98
| ~ spl42_181 ),
inference(forward_demodulation,[],[f3007,f1397]) ).
fof(f1397,plain,
( e10 = op1(e12,e12)
| ~ spl42_181 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl42_181
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_181])]) ).
fof(f3007,plain,
( op2(e23,e23) != h3(op1(e12,e12))
| spl42_91
| ~ spl42_98 ),
inference(forward_demodulation,[],[f959,f987]) ).
fof(f987,plain,
( e23 = h3(e12)
| ~ spl42_98 ),
inference(avatar_component_clause,[],[f986]) ).
fof(f986,plain,
( spl42_98
<=> e23 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_98])]) ).
fof(f959,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl42_91 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f957,plain,
( spl42_91
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_91])]) ).
fof(f2981,plain,
( ~ spl42_178
| ~ spl42_197 ),
inference(avatar_contradiction_clause,[],[f2980]) ).
fof(f2980,plain,
( $false
| ~ spl42_178
| ~ spl42_197 ),
inference(subsumption_resolution,[],[f2979,f173]) ).
fof(f173,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e12 != e13
& e11 != e13
& e11 != e12
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f2979,plain,
( e10 = e12
| ~ spl42_178
| ~ spl42_197 ),
inference(forward_demodulation,[],[f1543,f1366]) ).
fof(f1366,plain,
( e10 = op1(e10,e11)
| ~ spl42_178 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1364,plain,
( spl42_178
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_178])]) ).
fof(f1543,plain,
( e12 = op1(e10,e11)
| ~ spl42_197 ),
inference(avatar_component_clause,[],[f1541]) ).
fof(f1541,plain,
( spl42_197
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_197])]) ).
fof(f2962,plain,
( ~ spl42_24
| spl42_86
| ~ spl42_146
| ~ spl42_203 ),
inference(avatar_contradiction_clause,[],[f2961]) ).
fof(f2961,plain,
( $false
| ~ spl42_24
| spl42_86
| ~ spl42_146
| ~ spl42_203 ),
inference(subsumption_resolution,[],[f2960,f1618]) ).
fof(f1618,plain,
( e21 = op2(e21,e21)
| ~ spl42_203 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f1617,plain,
( spl42_203
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_203])]) ).
fof(f2960,plain,
( e21 != op2(e21,e21)
| ~ spl42_24
| spl42_86
| ~ spl42_146 ),
inference(forward_demodulation,[],[f2959,f656]) ).
fof(f656,plain,
( e21 = h3(e11)
| ~ spl42_24 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f655,plain,
( spl42_24
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_24])]) ).
fof(f2959,plain,
( op2(e21,e21) != h3(e11)
| ~ spl42_24
| spl42_86
| ~ spl42_146 ),
inference(forward_demodulation,[],[f2958,f1195]) ).
fof(f1195,plain,
( e11 = op1(e11,e11)
| ~ spl42_146 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1194,plain,
( spl42_146
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_146])]) ).
fof(f2958,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| ~ spl42_24
| spl42_86 ),
inference(forward_demodulation,[],[f939,f656]) ).
fof(f939,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl42_86 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f937,plain,
( spl42_86
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_86])]) ).
fof(f2921,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_95
| ~ spl42_98
| ~ spl42_188
| ~ spl42_252 ),
inference(avatar_contradiction_clause,[],[f2920]) ).
fof(f2920,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_95
| ~ spl42_98
| ~ spl42_188
| ~ spl42_252 ),
inference(subsumption_resolution,[],[f2919,f1935]) ).
fof(f1935,plain,
( e21 = op2(e22,e23)
| ~ spl42_252 ),
inference(avatar_component_clause,[],[f1933]) ).
fof(f1933,plain,
( spl42_252
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_252])]) ).
fof(f2919,plain,
( e21 != op2(e22,e23)
| ~ spl42_17
| ~ spl42_24
| spl42_95
| ~ spl42_98
| ~ spl42_188 ),
inference(forward_demodulation,[],[f2918,f656]) ).
fof(f2918,plain,
( op2(e22,e23) != h3(e11)
| ~ spl42_17
| spl42_95
| ~ spl42_98
| ~ spl42_188 ),
inference(forward_demodulation,[],[f2917,f1488]) ).
fof(f1488,plain,
( e11 = op1(e13,e12)
| ~ spl42_188 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl42_188
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_188])]) ).
fof(f2917,plain,
( op2(e22,e23) != h3(op1(e13,e12))
| ~ spl42_17
| spl42_95
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2916,f622]) ).
fof(f2916,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e23)
| spl42_95
| ~ spl42_98 ),
inference(forward_demodulation,[],[f975,f987]) ).
fof(f975,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl42_95 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f973,plain,
( spl42_95
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_95])]) ).
fof(f2881,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98
| ~ spl42_255 ),
inference(avatar_contradiction_clause,[],[f2880]) ).
fof(f2880,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98
| ~ spl42_255 ),
inference(subsumption_resolution,[],[f2879,f1951]) ).
fof(f1951,plain,
( e23 = op2(e21,e22)
| ~ spl42_255 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1949,plain,
( spl42_255
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_255])]) ).
fof(f2879,plain,
( e23 != op2(e21,e22)
| ~ spl42_17
| ~ spl42_24
| spl42_88
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2878,f987]) ).
fof(f2878,plain,
( op2(e21,e22) != h3(e12)
| ~ spl42_17
| ~ spl42_24
| spl42_88 ),
inference(forward_demodulation,[],[f2877,f1168]) ).
fof(f1168,plain,
e12 = op1(e11,e13),
inference(backward_demodulation,[],[f180,f179]) ).
fof(f179,plain,
e11 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13)
& e11 = op1(op1(e13,e13),op1(e13,e13))
& e10 = op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f180,plain,
e12 = op1(op1(op1(e13,e13),op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f2877,plain,
( op2(e21,e22) != h3(op1(e11,e13))
| ~ spl42_17
| ~ spl42_24
| spl42_88 ),
inference(forward_demodulation,[],[f2876,f656]) ).
fof(f2876,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e22)
| ~ spl42_17
| spl42_88 ),
inference(forward_demodulation,[],[f947,f622]) ).
fof(f947,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl42_88 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f945,plain,
( spl42_88
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_88])]) ).
fof(f2841,plain,
( ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_149
| ~ spl42_219 ),
inference(avatar_contradiction_clause,[],[f2840]) ).
fof(f2840,plain,
( $false
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_149
| ~ spl42_219 ),
inference(subsumption_resolution,[],[f2839,f1703]) ).
fof(f1703,plain,
( e22 = op2(e20,e22)
| ~ spl42_219 ),
inference(avatar_component_clause,[],[f1701]) ).
fof(f1701,plain,
( spl42_219
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_219])]) ).
fof(f2839,plain,
( e22 != op2(e20,e22)
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_149 ),
inference(forward_demodulation,[],[f2838,f622]) ).
fof(f2838,plain,
( op2(e20,e22) != h3(e13)
| ~ spl42_17
| ~ spl42_30
| spl42_84
| ~ spl42_149 ),
inference(forward_demodulation,[],[f2837,f1214]) ).
fof(f1214,plain,
( e13 = op1(e10,e13)
| ~ spl42_149 ),
inference(avatar_component_clause,[],[f1212]) ).
fof(f1212,plain,
( spl42_149
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_149])]) ).
fof(f2837,plain,
( op2(e20,e22) != h3(op1(e10,e13))
| ~ spl42_17
| ~ spl42_30
| spl42_84 ),
inference(forward_demodulation,[],[f2836,f685]) ).
fof(f2836,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e22)
| ~ spl42_17
| spl42_84 ),
inference(forward_demodulation,[],[f931,f622]) ).
fof(f931,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl42_84 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f929,plain,
( spl42_84
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_84])]) ).
fof(f2805,plain,
( ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_159
| ~ spl42_208 ),
inference(avatar_contradiction_clause,[],[f2804]) ).
fof(f2804,plain,
( $false
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_159
| ~ spl42_208 ),
inference(subsumption_resolution,[],[f2803,f1645]) ).
fof(f2803,plain,
( e23 != op2(e20,e23)
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_159 ),
inference(forward_demodulation,[],[f2802,f987]) ).
fof(f2802,plain,
( op2(e20,e23) != h3(e12)
| ~ spl42_30
| spl42_83
| ~ spl42_98
| ~ spl42_159 ),
inference(forward_demodulation,[],[f2801,f1266]) ).
fof(f1266,plain,
( e12 = op1(e10,e12)
| ~ spl42_159 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl42_159
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_159])]) ).
fof(f2801,plain,
( op2(e20,e23) != h3(op1(e10,e12))
| ~ spl42_30
| spl42_83
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2800,f685]) ).
fof(f2800,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e23)
| spl42_83
| ~ spl42_98 ),
inference(forward_demodulation,[],[f927,f987]) ).
fof(f927,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl42_83 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f925,plain,
( spl42_83
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_83])]) ).
fof(f2764,plain,
( ~ spl42_17
| ~ spl42_30
| spl42_96
| ~ spl42_244 ),
inference(avatar_contradiction_clause,[],[f2763]) ).
fof(f2763,plain,
( $false
| ~ spl42_17
| ~ spl42_30
| spl42_96
| ~ spl42_244 ),
inference(subsumption_resolution,[],[f2762,f1849]) ).
fof(f1849,plain,
( e20 = op2(e22,e22)
| ~ spl42_244 ),
inference(avatar_component_clause,[],[f1848]) ).
fof(f1848,plain,
( spl42_244
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_244])]) ).
fof(f2762,plain,
( e20 != op2(e22,e22)
| ~ spl42_17
| ~ spl42_30
| spl42_96 ),
inference(forward_demodulation,[],[f2761,f685]) ).
fof(f2761,plain,
( op2(e22,e22) != h3(e10)
| ~ spl42_17
| spl42_96 ),
inference(forward_demodulation,[],[f2760,f178]) ).
fof(f178,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f2760,plain,
( op2(e22,e22) != h3(op1(e13,e13))
| ~ spl42_17
| spl42_96 ),
inference(forward_demodulation,[],[f979,f622]) ).
fof(f979,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl42_96 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f977,plain,
( spl42_96
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_96])]) ).
fof(f2727,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_187
| ~ spl42_257 ),
inference(avatar_contradiction_clause,[],[f2726]) ).
fof(f2726,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_187
| ~ spl42_257 ),
inference(subsumption_resolution,[],[f2725,f1960]) ).
fof(f1960,plain,
( e23 = op2(e22,e21)
| ~ spl42_257 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f1958,plain,
( spl42_257
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_257])]) ).
fof(f2725,plain,
( e23 != op2(e22,e21)
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_98
| ~ spl42_187 ),
inference(forward_demodulation,[],[f2724,f987]) ).
fof(f2724,plain,
( op2(e22,e21) != h3(e12)
| ~ spl42_17
| ~ spl42_24
| spl42_94
| ~ spl42_187 ),
inference(forward_demodulation,[],[f2723,f1469]) ).
fof(f1469,plain,
( e12 = op1(e13,e11)
| ~ spl42_187 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1467,plain,
( spl42_187
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_187])]) ).
fof(f2723,plain,
( op2(e22,e21) != h3(op1(e13,e11))
| ~ spl42_17
| ~ spl42_24
| spl42_94 ),
inference(forward_demodulation,[],[f2722,f622]) ).
fof(f2722,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| ~ spl42_24
| spl42_94 ),
inference(forward_demodulation,[],[f971,f656]) ).
fof(f971,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl42_94 ),
inference(avatar_component_clause,[],[f969]) ).
fof(f969,plain,
( spl42_94
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_94])]) ).
fof(f2688,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_92
| ~ spl42_98
| ~ spl42_253 ),
inference(avatar_contradiction_clause,[],[f2687]) ).
fof(f2687,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_92
| ~ spl42_98
| ~ spl42_253 ),
inference(subsumption_resolution,[],[f2686,f1942]) ).
fof(f1942,plain,
( e21 = op2(e23,e22)
| ~ spl42_253 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1940,plain,
( spl42_253
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_253])]) ).
fof(f2686,plain,
( e21 != op2(e23,e22)
| ~ spl42_17
| ~ spl42_24
| spl42_92
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2685,f656]) ).
fof(f2685,plain,
( op2(e23,e22) != h3(e11)
| ~ spl42_17
| spl42_92
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2684,f1475]) ).
fof(f1475,plain,
e11 = op1(e12,e13),
inference(subsumption_resolution,[],[f1474,f175]) ).
fof(f175,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f1474,plain,
( e11 = e12
| e11 = op1(e12,e13) ),
inference(forward_demodulation,[],[f1473,f1168]) ).
fof(f1473,plain,
( e11 = op1(e12,e13)
| e11 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f1472,f172]) ).
fof(f172,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f1472,plain,
( e10 = e11
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) ),
inference(forward_demodulation,[],[f1471,f178]) ).
fof(f1471,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13) ),
inference(subsumption_resolution,[],[f321,f1437]) ).
fof(f1437,plain,
e11 != op1(e10,e13),
inference(forward_demodulation,[],[f272,f1169]) ).
fof(f1169,plain,
op1(e10,e10) = e11,
inference(backward_demodulation,[],[f179,f178]) ).
fof(f272,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e12) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e11)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e11,e12)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e11,e10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f321,plain,
( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e11,e13)
| e12 = op1(e10,e13) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e11,e13)
| e11 = op1(e10,e13) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e12)
| e13 = op1(e12,e11)
| e13 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e11 = op1(e13,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e10,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e10 = op1(e13,e12)
| e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) )
& ( e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e11)
| e13 = op1(e11,e10) )
& ( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11)
| e12 = op1(e11,e10) )
& ( e11 = op1(e13,e11)
| e11 = op1(e12,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) )
& ( e10 = op1(e13,e11)
| e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) )
& ( e13 = op1(e13,e10)
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 )
& ( e12 = op1(e13,e10)
| e12 = op1(e12,e10)
| e12 = op1(e11,e10)
| op1(e10,e10) = e12 )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 )
& ( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2684,plain,
( op2(e23,e22) != h3(op1(e12,e13))
| ~ spl42_17
| spl42_92
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2683,f987]) ).
fof(f2683,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e22)
| ~ spl42_17
| spl42_92 ),
inference(forward_demodulation,[],[f963,f622]) ).
fof(f963,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl42_92 ),
inference(avatar_component_clause,[],[f961]) ).
fof(f961,plain,
( spl42_92
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_92])]) ).
fof(f2649,plain,
( ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_160
| ~ spl42_209 ),
inference(avatar_contradiction_clause,[],[f2648]) ).
fof(f2648,plain,
( $false
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_160
| ~ spl42_209 ),
inference(subsumption_resolution,[],[f2647,f1650]) ).
fof(f1650,plain,
( e23 = op2(e23,e20)
| ~ spl42_209 ),
inference(avatar_component_clause,[],[f1648]) ).
fof(f1648,plain,
( spl42_209
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_209])]) ).
fof(f2647,plain,
( e23 != op2(e23,e20)
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_160 ),
inference(forward_demodulation,[],[f2646,f987]) ).
fof(f2646,plain,
( op2(e23,e20) != h3(e12)
| ~ spl42_30
| spl42_89
| ~ spl42_98
| ~ spl42_160 ),
inference(forward_demodulation,[],[f2645,f1271]) ).
fof(f1271,plain,
( e12 = op1(e12,e10)
| ~ spl42_160 ),
inference(avatar_component_clause,[],[f1269]) ).
fof(f1269,plain,
( spl42_160
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_160])]) ).
fof(f2645,plain,
( op2(e23,e20) != h3(op1(e12,e10))
| ~ spl42_30
| spl42_89
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2644,f987]) ).
fof(f2644,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| ~ spl42_30
| spl42_89 ),
inference(forward_demodulation,[],[f951,f685]) ).
fof(f951,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl42_89 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f949,plain,
( spl42_89
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_89])]) ).
fof(f2611,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_190 ),
inference(avatar_contradiction_clause,[],[f2610]) ).
fof(f2610,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_190 ),
inference(subsumption_resolution,[],[f2609,f1591]) ).
fof(f1591,plain,
e22 = op2(e21,e23),
inference(backward_demodulation,[],[f344,f343]) ).
fof(f343,plain,
e21 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f344,plain,
e22 = op2(op2(op2(e23,e23),op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f2609,plain,
( e22 != op2(e21,e23)
| ~ spl42_17
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_190 ),
inference(forward_demodulation,[],[f2608,f622]) ).
fof(f2608,plain,
( op2(e21,e23) != h3(e13)
| ~ spl42_24
| spl42_87
| ~ spl42_98
| ~ spl42_190 ),
inference(forward_demodulation,[],[f2607,f1497]) ).
fof(f1497,plain,
( e13 = op1(e11,e12)
| ~ spl42_190 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1495,plain,
( spl42_190
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_190])]) ).
fof(f2607,plain,
( op2(e21,e23) != h3(op1(e11,e12))
| ~ spl42_24
| spl42_87
| ~ spl42_98 ),
inference(forward_demodulation,[],[f2606,f656]) ).
fof(f2606,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e23)
| spl42_87
| ~ spl42_98 ),
inference(forward_demodulation,[],[f943,f987]) ).
fof(f943,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl42_87 ),
inference(avatar_component_clause,[],[f941]) ).
fof(f941,plain,
( spl42_87
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_87])]) ).
fof(f2574,plain,
( ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_177
| ~ spl42_238 ),
inference(avatar_contradiction_clause,[],[f2573]) ).
fof(f2573,plain,
( $false
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_177
| ~ spl42_238 ),
inference(subsumption_resolution,[],[f2572,f1804]) ).
fof(f1804,plain,
( e20 = op2(e21,e20)
| ~ spl42_238 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1802,plain,
( spl42_238
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_238])]) ).
fof(f2572,plain,
( e20 != op2(e21,e20)
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_177 ),
inference(forward_demodulation,[],[f2571,f685]) ).
fof(f2571,plain,
( op2(e21,e20) != h3(e10)
| ~ spl42_24
| ~ spl42_30
| spl42_85
| ~ spl42_177 ),
inference(forward_demodulation,[],[f2570,f1361]) ).
fof(f1361,plain,
( e10 = op1(e11,e10)
| ~ spl42_177 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f1359,plain,
( spl42_177
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_177])]) ).
fof(f2570,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| ~ spl42_24
| ~ spl42_30
| spl42_85 ),
inference(forward_demodulation,[],[f2569,f656]) ).
fof(f2569,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| ~ spl42_30
| spl42_85 ),
inference(forward_demodulation,[],[f935,f685]) ).
fof(f935,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl42_85 ),
inference(avatar_component_clause,[],[f933]) ).
fof(f933,plain,
( spl42_85
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_85])]) ).
fof(f2536,plain,
( ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_178
| ~ spl42_239 ),
inference(avatar_contradiction_clause,[],[f2535]) ).
fof(f2535,plain,
( $false
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_178
| ~ spl42_239 ),
inference(subsumption_resolution,[],[f2534,f1809]) ).
fof(f2534,plain,
( e20 != op2(e20,e21)
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_178 ),
inference(forward_demodulation,[],[f2533,f685]) ).
fof(f2533,plain,
( op2(e20,e21) != h3(e10)
| ~ spl42_24
| ~ spl42_30
| spl42_82
| ~ spl42_178 ),
inference(forward_demodulation,[],[f2532,f1366]) ).
fof(f2532,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| ~ spl42_24
| ~ spl42_30
| spl42_82 ),
inference(forward_demodulation,[],[f2531,f685]) ).
fof(f2531,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| ~ spl42_24
| spl42_82 ),
inference(forward_demodulation,[],[f923,f656]) ).
fof(f923,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl42_82 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f921,plain,
( spl42_82
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_82])]) ).
fof(f2491,plain,
( ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_192
| ~ spl42_251 ),
inference(avatar_contradiction_clause,[],[f2490]) ).
fof(f2490,plain,
( $false
| ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_192
| ~ spl42_251 ),
inference(subsumption_resolution,[],[f2489,f1927]) ).
fof(f1927,plain,
( e22 = op2(e23,e21)
| ~ spl42_251 ),
inference(avatar_component_clause,[],[f1925]) ).
fof(f1925,plain,
( spl42_251
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_251])]) ).
fof(f2489,plain,
( e22 != op2(e23,e21)
| ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_98
| ~ spl42_192 ),
inference(backward_demodulation,[],[f2479,f987]) ).
fof(f2479,plain,
( e22 != op2(h3(e12),e21)
| ~ spl42_17
| ~ spl42_24
| spl42_90
| ~ spl42_192 ),
inference(backward_demodulation,[],[f2356,f656]) ).
fof(f2356,plain,
( e22 != op2(h3(e12),h3(e11))
| ~ spl42_17
| spl42_90
| ~ spl42_192 ),
inference(forward_demodulation,[],[f2355,f622]) ).
fof(f2355,plain,
( h3(e13) != op2(h3(e12),h3(e11))
| spl42_90
| ~ spl42_192 ),
inference(backward_demodulation,[],[f955,f1508]) ).
fof(f1508,plain,
( e13 = op1(e12,e11)
| ~ spl42_192 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1506,plain,
( spl42_192
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_192])]) ).
fof(f955,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl42_90 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl42_90
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_90])]) ).
fof(f2482,plain,
( spl42_98
| ~ spl42_24
| ~ spl42_255 ),
inference(avatar_split_clause,[],[f2481,f1949,f655,f986]) ).
fof(f2481,plain,
( e23 = h3(e12)
| ~ spl42_24
| ~ spl42_255 ),
inference(forward_demodulation,[],[f2480,f1951]) ).
fof(f2480,plain,
( op2(e21,e22) = h3(e12)
| ~ spl42_24 ),
inference(backward_demodulation,[],[f2054,f656]) ).
fof(f2054,plain,
h3(e12) = op2(h3(e11),e22),
inference(backward_demodulation,[],[f539,f538]) ).
fof(f538,plain,
h3(e11) = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22)
& h3(e11) = op2(op2(e22,e22),op2(e22,e22))
& op2(e22,e22) = h3(e10)
& e22 = h3(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f539,plain,
h3(e12) = op2(op2(op2(e22,e22),op2(e22,e22)),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f2442,plain,
( spl42_54
| ~ spl42_203 ),
inference(avatar_split_clause,[],[f2350,f1617,f799]) ).
fof(f799,plain,
( spl42_54
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_54])]) ).
fof(f2350,plain,
( e21 = h1(e11)
| ~ spl42_203 ),
inference(forward_demodulation,[],[f2039,f1618]) ).
fof(f2039,plain,
op2(e21,e21) = h1(e11),
inference(forward_demodulation,[],[f530,f1592]) ).
fof(f1592,plain,
op2(e20,e20) = e21,
inference(backward_demodulation,[],[f343,f342]) ).
fof(f530,plain,
h1(e11) = op2(op2(e20,e20),op2(e20,e20)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( h1(e12) = op2(op2(op2(e20,e20),op2(e20,e20)),e20)
& h1(e11) = op2(op2(e20,e20),op2(e20,e20))
& op2(e20,e20) = h1(e10)
& e20 = h1(e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f2440,plain,
( spl42_24
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f2439,f684,f655]) ).
fof(f2439,plain,
( e21 = h3(e11)
| ~ spl42_30 ),
inference(forward_demodulation,[],[f2438,f1592]) ).
fof(f2438,plain,
( op2(e20,e20) = h3(e11)
| ~ spl42_30 ),
inference(backward_demodulation,[],[f2061,f685]) ).
fof(f2061,plain,
h3(e11) = op2(h3(e10),h3(e10)),
inference(backward_demodulation,[],[f538,f537]) ).
fof(f537,plain,
op2(e22,e22) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f2400,plain,
( ~ spl42_201
| ~ spl42_209 ),
inference(avatar_split_clause,[],[f2399,f1648,f1608]) ).
fof(f1608,plain,
( spl42_201
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_201])]) ).
fof(f2399,plain,
( e23 != op2(e23,e22)
| ~ spl42_209 ),
inference(backward_demodulation,[],[f475,f1650]) ).
fof(f475,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2386,plain,
( ~ spl42_209
| ~ spl42_205 ),
inference(avatar_split_clause,[],[f2385,f1628,f1648]) ).
fof(f1628,plain,
( spl42_205
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_205])]) ).
fof(f2385,plain,
( e23 != op2(e23,e20)
| ~ spl42_205 ),
inference(forward_demodulation,[],[f474,f1630]) ).
fof(f1630,plain,
( e23 = op2(e23,e21)
| ~ spl42_205 ),
inference(avatar_component_clause,[],[f1628]) ).
fof(f474,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2382,plain,
( ~ spl42_217
| ~ spl42_220 ),
inference(avatar_split_clause,[],[f2381,f1706,f1690]) ).
fof(f1690,plain,
( spl42_217
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_217])]) ).
fof(f2381,plain,
( e22 != op2(e22,e21)
| ~ spl42_220 ),
inference(forward_demodulation,[],[f468,f1708]) ).
fof(f468,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2374,plain,
( ~ spl42_144
| ~ spl42_190 ),
inference(avatar_split_clause,[],[f2373,f1495,f1185]) ).
fof(f1185,plain,
( spl42_144
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_144])]) ).
fof(f2373,plain,
( e13 != op1(e13,e12)
| ~ spl42_190 ),
inference(forward_demodulation,[],[f262,f1497]) ).
fof(f262,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2365,plain,
( ~ spl42_147
| ~ spl42_192 ),
inference(avatar_split_clause,[],[f2364,f1506,f1202]) ).
fof(f1202,plain,
( spl42_147
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_147])]) ).
fof(f2364,plain,
( e13 != op1(e13,e11)
| ~ spl42_192 ),
inference(forward_demodulation,[],[f257,f1508]) ).
fof(f257,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2363,plain,
( ~ spl42_162
| ~ spl42_146 ),
inference(avatar_split_clause,[],[f2362,f1194,f1279]) ).
fof(f1279,plain,
( spl42_162
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_162])]) ).
fof(f2362,plain,
( e11 != op1(e13,e11)
| ~ spl42_146 ),
inference(forward_demodulation,[],[f256,f1195]) ).
fof(f256,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2308,plain,
( spl42_30
| ~ spl42_244 ),
inference(avatar_split_clause,[],[f2307,f1848,f684]) ).
fof(f2307,plain,
( e20 = h3(e10)
| ~ spl42_244 ),
inference(backward_demodulation,[],[f537,f1849]) ).
fof(f2305,plain,
( spl42_204
| ~ spl42_209
| ~ spl42_250 ),
inference(avatar_contradiction_clause,[],[f2304]) ).
fof(f2304,plain,
( $false
| spl42_204
| ~ spl42_209
| ~ spl42_250 ),
inference(subsumption_resolution,[],[f2303,f1624]) ).
fof(f1624,plain,
( e22 != e23
| spl42_204 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1623,plain,
( spl42_204
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_204])]) ).
fof(f2303,plain,
( e22 = e23
| ~ spl42_209
| ~ spl42_250 ),
inference(backward_demodulation,[],[f1650,f1923]) ).
fof(f1923,plain,
( e22 = op2(e23,e20)
| ~ spl42_250 ),
inference(avatar_component_clause,[],[f1921]) ).
fof(f1921,plain,
( spl42_250
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_250])]) ).
fof(f2294,plain,
( ~ spl42_20
| ~ spl42_219 ),
inference(avatar_split_clause,[],[f2293,f1701,f636]) ).
fof(f636,plain,
( spl42_20
<=> e22 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_20])]) ).
fof(f2293,plain,
( e22 != h3(e10)
| ~ spl42_219 ),
inference(forward_demodulation,[],[f2055,f1703]) ).
fof(f2055,plain,
op2(e20,e22) != h3(e10),
inference(backward_demodulation,[],[f445,f537]) ).
fof(f445,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2271,plain,
( ~ spl42_157
| ~ spl42_160 ),
inference(avatar_contradiction_clause,[],[f2270]) ).
fof(f2270,plain,
( $false
| ~ spl42_157
| ~ spl42_160 ),
inference(subsumption_resolution,[],[f2269,f1271]) ).
fof(f2269,plain,
( e12 != op1(e12,e10)
| ~ spl42_157 ),
inference(forward_demodulation,[],[f282,f1256]) ).
fof(f1256,plain,
( e12 = op1(e12,e11)
| ~ spl42_157 ),
inference(avatar_component_clause,[],[f1254]) ).
fof(f1254,plain,
( spl42_157
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_157])]) ).
fof(f282,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2261,plain,
( ~ spl42_146
| ~ spl42_165 ),
inference(avatar_split_clause,[],[f2260,f1297,f1194]) ).
fof(f1297,plain,
( spl42_165
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_165])]) ).
fof(f2260,plain,
( e11 != op1(e11,e11)
| ~ spl42_165 ),
inference(forward_demodulation,[],[f279,f1299]) ).
fof(f1299,plain,
( e11 = op1(e11,e12)
| ~ spl42_165 ),
inference(avatar_component_clause,[],[f1297]) ).
fof(f279,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2258,plain,
( ~ spl42_142
| ~ spl42_159 ),
inference(avatar_split_clause,[],[f2257,f1264,f1175]) ).
fof(f1175,plain,
( spl42_142
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_142])]) ).
fof(f2257,plain,
( e12 != op1(e12,e12)
| ~ spl42_159 ),
inference(forward_demodulation,[],[f259,f1266]) ).
fof(f259,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2240,plain,
spl42_81,
inference(avatar_contradiction_clause,[],[f2239]) ).
fof(f2239,plain,
( $false
| spl42_81 ),
inference(trivial_inequality_removal,[],[f2238]) ).
fof(f2238,plain,
( h3(e11) != h3(e11)
| spl42_81 ),
inference(forward_demodulation,[],[f2237,f1169]) ).
fof(f2237,plain,
( h3(e11) != h3(op1(e10,e10))
| spl42_81 ),
inference(forward_demodulation,[],[f919,f2061]) ).
fof(f919,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl42_81 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f917,plain,
( spl42_81
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_81])]) ).
fof(f2216,plain,
( ~ spl42_160
| ~ spl42_174 ),
inference(avatar_contradiction_clause,[],[f2215]) ).
fof(f2215,plain,
( $false
| ~ spl42_160
| ~ spl42_174 ),
inference(subsumption_resolution,[],[f2214,f173]) ).
fof(f2214,plain,
( e10 = e12
| ~ spl42_160
| ~ spl42_174 ),
inference(forward_demodulation,[],[f1271,f1346]) ).
fof(f1346,plain,
( e10 = op1(e12,e10)
| ~ spl42_174 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1344,plain,
( spl42_174
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_174])]) ).
fof(f2192,plain,
( ~ spl42_193
| ~ spl42_177 ),
inference(avatar_split_clause,[],[f2189,f1359,f1518]) ).
fof(f1518,plain,
( spl42_193
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_193])]) ).
fof(f2189,plain,
( e10 != op1(e11,e12)
| ~ spl42_177 ),
inference(backward_demodulation,[],[f277,f1361]) ).
fof(f277,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2185,plain,
( ~ spl42_194
| ~ spl42_178 ),
inference(avatar_split_clause,[],[f2181,f1364,f1524]) ).
fof(f1524,plain,
( spl42_194
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_194])]) ).
fof(f2181,plain,
( e10 != op1(e12,e11)
| ~ spl42_178 ),
inference(backward_demodulation,[],[f253,f1366]) ).
fof(f253,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2159,plain,
( spl42_20
| ~ spl42_199 ),
inference(avatar_split_clause,[],[f2158,f1598,f636]) ).
fof(f1598,plain,
( spl42_199
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_199])]) ).
fof(f2158,plain,
( e22 = h3(e10)
| ~ spl42_199 ),
inference(backward_demodulation,[],[f537,f1599]) ).
fof(f1599,plain,
( e22 = op2(e22,e22)
| ~ spl42_199 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f2137,plain,
( ~ spl42_220
| ~ spl42_235
| spl42_241 ),
inference(avatar_contradiction_clause,[],[f2136]) ).
fof(f2136,plain,
( $false
| ~ spl42_220
| ~ spl42_235
| spl42_241 ),
inference(subsumption_resolution,[],[f2135,f1831]) ).
fof(f2135,plain,
( e20 = e22
| ~ spl42_220
| ~ spl42_235 ),
inference(forward_demodulation,[],[f1708,f1789]) ).
fof(f1789,plain,
( e20 = op2(e22,e20)
| ~ spl42_235 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1787,plain,
( spl42_235
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_235])]) ).
fof(f2132,plain,
( ~ spl42_54
| ~ spl42_222 ),
inference(avatar_split_clause,[],[f2128,f1717,f799]) ).
fof(f1717,plain,
( spl42_222
<=> e21 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_222])]) ).
fof(f2128,plain,
( e21 != h1(e11)
| ~ spl42_222 ),
inference(backward_demodulation,[],[f2043,f1719]) ).
fof(f1719,plain,
( e21 = op2(e23,e21)
| ~ spl42_222 ),
inference(avatar_component_clause,[],[f1717]) ).
fof(f2043,plain,
op2(e23,e21) != h1(e11),
inference(backward_demodulation,[],[f442,f2039]) ).
fof(f442,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2089,plain,
( ~ spl42_259
| ~ spl42_239 ),
inference(avatar_split_clause,[],[f2084,f1807,f1976]) ).
fof(f1976,plain,
( spl42_259
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_259])]) ).
fof(f2084,plain,
( e20 != op2(e22,e21)
| ~ spl42_239 ),
inference(backward_demodulation,[],[f439,f1809]) ).
fof(f439,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2078,plain,
( ~ spl42_225
| ~ spl42_252 ),
inference(avatar_split_clause,[],[f2076,f1933,f1733]) ).
fof(f1733,plain,
( spl42_225
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_225])]) ).
fof(f2076,plain,
( e21 != op2(e22,e21)
| ~ spl42_252 ),
inference(backward_demodulation,[],[f472,f1935]) ).
fof(f472,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2062,plain,
spl42_17,
inference(avatar_split_clause,[],[f536,f621]) ).
fof(f536,plain,
e22 = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f2034,plain,
( spl42_233
| spl42_208 ),
inference(avatar_split_clause,[],[f2033,f1643,f1777]) ).
fof(f1777,plain,
( spl42_233
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_233])]) ).
fof(f2033,plain,
( e23 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f2032,f1899]) ).
fof(f1899,plain,
e21 != op2(e20,e23),
inference(forward_demodulation,[],[f458,f1592]) ).
fof(f458,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2032,plain,
( e23 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(subsumption_resolution,[],[f515,f1909]) ).
fof(f1909,plain,
e22 != op2(e20,e23),
inference(forward_demodulation,[],[f450,f1591]) ).
fof(f450,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f515,plain,
( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e21 = op2(e23,e23)
| e20 = op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) )
& ( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e21,e23)
| e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e21 = op2(e20,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e23 = op2(e20,e21)
| e22 = op2(e20,e21)
| e21 = op2(e20,e21)
| e20 = op2(e20,e21) )
& ( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2025,plain,
( spl42_259
| spl42_225
| spl42_217
| spl42_257 ),
inference(avatar_split_clause,[],[f521,f1958,f1690,f1733,f1976]) ).
fof(f521,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2019,plain,
( spl42_222
| spl42_251
| spl42_205 ),
inference(avatar_split_clause,[],[f2018,f1628,f1925,f1717]) ).
fof(f2018,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21) ),
inference(subsumption_resolution,[],[f525,f1891]) ).
fof(f1891,plain,
e20 != op2(e23,e21),
inference(forward_demodulation,[],[f478,f342]) ).
fof(f478,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f525,plain,
( e23 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f2013,plain,
( spl42_238
| spl42_235
| spl42_232
| spl42_207 ),
inference(avatar_split_clause,[],[f2012,f1638,f1772,f1787,f1802]) ).
fof(f1772,plain,
( spl42_232
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_232])]) ).
fof(f1638,plain,
( spl42_207
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_207])]) ).
fof(f2012,plain,
( e20 = e21
| e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20) ),
inference(forward_demodulation,[],[f481,f1592]) ).
fof(f481,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e23 = op2(e22,e23)
| e23 = op2(e21,e23)
| e23 = op2(e20,e23) )
& ( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e23,e22)
| e22 = op2(e23,e21)
| e22 = op2(e23,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) )
& ( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20) )
& ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) )
& ( e22 = op2(e23,e22)
| e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e20,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) )
& ( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) )
& ( e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e20) )
& ( e22 = op2(e23,e21)
| e22 = op2(e22,e21)
| e22 = op2(e21,e21)
| e22 = op2(e20,e21) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21)
| e22 = op2(e21,e20) )
& ( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) )
& ( e20 = op2(e23,e21)
| e20 = op2(e22,e21)
| e20 = op2(e21,e21)
| e20 = op2(e20,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e22,e20)
| e23 = op2(e21,e20)
| op2(e20,e20) = e23 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 )
& ( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 )
& ( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) )
& ( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f2011,plain,
( spl42_262
| spl42_219
| spl42_223 ),
inference(avatar_split_clause,[],[f2010,f1723,f1701,f1992]) ).
fof(f1723,plain,
( spl42_223
<=> e21 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_223])]) ).
fof(f2010,plain,
( e21 = e22
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) ),
inference(forward_demodulation,[],[f2009,f1592]) ).
fof(f2009,plain,
( e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(subsumption_resolution,[],[f484,f1909]) ).
fof(f484,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f2008,plain,
( spl42_220
| spl42_250
| spl42_223 ),
inference(avatar_split_clause,[],[f2007,f1723,f1921,f1706]) ).
fof(f2007,plain,
( e21 = e22
| e22 = op2(e23,e20)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f2006,f1592]) ).
fof(f2006,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 ),
inference(subsumption_resolution,[],[f485,f1898]) ).
fof(f1898,plain,
e22 != op2(e21,e20),
inference(forward_demodulation,[],[f464,f1591]) ).
fof(f464,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f485,plain,
( e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| e22 = op2(e21,e20)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1979,plain,
( spl42_235
| spl42_259
| spl42_244 ),
inference(avatar_split_clause,[],[f1974,f1848,f1976,f1787]) ).
fof(f1974,plain,
( e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(subsumption_resolution,[],[f496,f1903]) ).
fof(f1903,plain,
e20 != op2(e22,e23),
inference(forward_demodulation,[],[f455,f342]) ).
fof(f455,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f496,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1952,plain,
( spl42_254
| spl42_255
| spl42_242
| spl42_201 ),
inference(avatar_split_clause,[],[f503,f1608,f1838,f1949,f1945]) ).
fof(f1838,plain,
( spl42_242
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_242])]) ).
fof(f503,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1943,plain,
( spl42_222
| spl42_253
| spl42_207 ),
inference(avatar_split_clause,[],[f1938,f1638,f1940,f1717]) ).
fof(f1938,plain,
( e20 = e21
| e21 = op2(e23,e22)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f1937,f342]) ).
fof(f1937,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21) ),
inference(subsumption_resolution,[],[f506,f1910]) ).
fof(f1910,plain,
e21 != op2(e23,e20),
inference(forward_demodulation,[],[f434,f1592]) ).
fof(f434,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f506,plain,
( e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1936,plain,
( spl42_252
| spl42_207
| spl42_223 ),
inference(avatar_split_clause,[],[f1931,f1723,f1638,f1933]) ).
fof(f1931,plain,
( e21 = e22
| e20 = e21
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f1930,f1591]) ).
fof(f1930,plain,
( e20 = e21
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f1929,f342]) ).
fof(f1929,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23) ),
inference(subsumption_resolution,[],[f507,f1899]) ).
fof(f507,plain,
( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1908,plain,
~ spl42_233,
inference(avatar_split_clause,[],[f1907,f1777]) ).
fof(f1907,plain,
e20 != op2(e20,e23),
inference(forward_demodulation,[],[f452,f342]) ).
fof(f452,plain,
op2(e20,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1906,plain,
~ spl42_213,
inference(avatar_split_clause,[],[f1905,f1668]) ).
fof(f1668,plain,
( spl42_213
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_213])]) ).
fof(f1905,plain,
e22 != op2(e22,e23),
inference(forward_demodulation,[],[f453,f1591]) ).
fof(f453,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1893,plain,
~ spl42_232,
inference(avatar_split_clause,[],[f1892,f1772]) ).
fof(f1892,plain,
e20 != op2(e23,e20),
inference(forward_demodulation,[],[f476,f342]) ).
fof(f476,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1889,plain,
~ spl42_207,
inference(avatar_split_clause,[],[f426,f1638]) ).
fof(f426,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f1888,plain,
~ spl42_241,
inference(avatar_split_clause,[],[f427,f1829]) ).
fof(f427,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1887,plain,
~ spl42_211,
inference(avatar_split_clause,[],[f428,f1658]) ).
fof(f1658,plain,
( spl42_211
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_211])]) ).
fof(f428,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1886,plain,
~ spl42_223,
inference(avatar_split_clause,[],[f429,f1723]) ).
fof(f429,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1884,plain,
~ spl42_204,
inference(avatar_split_clause,[],[f431,f1623]) ).
fof(f431,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1883,plain,
( spl42_203
| spl42_199
| spl42_211
| spl42_207 ),
inference(avatar_split_clause,[],[f1882,f1638,f1658,f1598,f1617]) ).
fof(f1882,plain,
( e20 = e21
| e20 = e23
| e22 = op2(e22,e22)
| e21 = op2(e21,e21) ),
inference(forward_demodulation,[],[f1881,f1592]) ).
fof(f1881,plain,
( e20 = e23
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(forward_demodulation,[],[f390,f342]) ).
fof(f390,plain,
( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ) ),
inference(definition_folding,[],[f11,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50]) ).
fof(f50,plain,
( ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f51,plain,
( ( e21 != op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f52,plain,
( ( e22 != op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f53,plain,
( ( e23 != op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f54,plain,
( ( e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f55,plain,
( ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f56,plain,
( ( e22 != op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f57,plain,
( ( e23 != op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ~ sP34 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f58,plain,
( ( e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f59,plain,
( ( e21 != op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ~ sP36 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f60,plain,
( ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ~ sP37 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f61,plain,
( ( e23 != op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ~ sP38 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f62,plain,
( ( e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ~ sP39 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f63,plain,
( ( e21 != op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f64,plain,
( ( e22 != op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f11,axiom,
( ( ( e23 != op2(e23,e23)
& e23 = op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e22 != op2(e22,e22)
& e23 = op2(e22,e23)
& e23 = op2(e23,e22) )
| ( e21 != op2(e21,e21)
& e23 = op2(e21,e23)
& e23 = op2(e23,e21) )
| ( e20 != op2(e20,e20)
& e23 = op2(e20,e23)
& e23 = op2(e23,e20) )
| ( e23 != op2(e23,e23)
& e22 = op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e22 != op2(e22,e22)
& e22 = op2(e22,e22)
& e22 = op2(e22,e22) )
| ( e21 != op2(e21,e21)
& e22 = op2(e21,e22)
& e22 = op2(e22,e21) )
| ( e20 != op2(e20,e20)
& e22 = op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e23 != op2(e23,e23)
& e21 = op2(e23,e21)
& e21 = op2(e21,e23) )
| ( e22 != op2(e22,e22)
& e21 = op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e21 != op2(e21,e21)
& e21 = op2(e21,e21)
& e21 = op2(e21,e21) )
| ( e20 != op2(e20,e20)
& e21 = op2(e20,e21)
& e21 = op2(e21,e20) )
| ( e23 != op2(e23,e23)
& e20 = op2(e23,e20)
& e20 = op2(e20,e23) )
| ( e22 != op2(e22,e22)
& e20 = op2(e22,e20)
& e20 = op2(e20,e22) )
| ( e21 != op2(e21,e21)
& e20 = op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e20 != op2(e20,e20)
& e20 = op2(e20,e20)
& e20 = op2(e20,e20) ) )
& ( e23 = op2(e23,e23)
| e23 != op2(e23,e23) )
& ( e23 = op2(e23,e22)
| e22 != op2(e23,e23) )
& ( e23 = op2(e23,e21)
| e21 != op2(e23,e23) )
& ( e23 = op2(e23,e20)
| e20 != op2(e23,e23) )
& ( e22 = op2(e22,e23)
| e23 != op2(e22,e22) )
& ( e22 = op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e22 = op2(e22,e21)
| e21 != op2(e22,e22) )
& ( e22 = op2(e22,e20)
| e20 != op2(e22,e22) )
& ( e21 = op2(e21,e23)
| e23 != op2(e21,e21) )
& ( e21 = op2(e21,e22)
| e22 != op2(e21,e21) )
& ( e21 = op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e20 != op2(e21,e21) )
& ( e20 = op2(e20,e23)
| op2(e20,e20) != e23 )
& ( e20 = op2(e20,e22)
| op2(e20,e20) != e22 )
& ( e20 = op2(e20,e21)
| op2(e20,e20) != e21 )
& ( e20 = op2(e20,e20)
| e20 != op2(e20,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e22,e22)
| e21 = op2(e21,e21)
| e20 = op2(e20,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1880,plain,
spl42_239,
inference(avatar_split_clause,[],[f1879,f1807]) ).
fof(f1879,plain,
e20 = op2(e20,e21),
inference(subsumption_resolution,[],[f392,f1592]) ).
fof(f392,plain,
( e20 = op2(e20,e21)
| op2(e20,e20) != e21 ),
inference(cnf_transformation,[],[f65]) ).
fof(f1841,plain,
( ~ spl42_242
| spl42_213 ),
inference(avatar_split_clause,[],[f402,f1668,f1838]) ).
fof(f402,plain,
( e22 = op2(e22,e23)
| e23 != op2(e22,e22) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1836,plain,
spl42_209,
inference(avatar_split_clause,[],[f1835,f1648]) ).
fof(f1835,plain,
e23 = op2(e23,e20),
inference(subsumption_resolution,[],[f403,f342]) ).
fof(f403,plain,
( e23 = op2(e23,e20)
| e20 != op2(e23,e23) ),
inference(cnf_transformation,[],[f65]) ).
fof(f1587,plain,
( spl42_172
| spl42_149 ),
inference(avatar_split_clause,[],[f1586,f1212,f1334]) ).
fof(f1334,plain,
( spl42_172
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_172])]) ).
fof(f1586,plain,
( e13 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f1585,f1437]) ).
fof(f1585,plain,
( e13 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(subsumption_resolution,[],[f329,f1447]) ).
fof(f1447,plain,
e12 != op1(e10,e13),
inference(forward_demodulation,[],[f264,f1168]) ).
fof(f264,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f329,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) )
& ( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) )
& ( e13 = op1(e12,e13)
| e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13) )
& ( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) )
& ( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e12 = op1(e11,e11)
| e11 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1581,plain,
( spl42_193
| spl42_165
| spl42_156
| spl42_190 ),
inference(avatar_split_clause,[],[f332,f1495,f1249,f1297,f1518]) ).
fof(f1249,plain,
( spl42_156
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_156])]) ).
fof(f332,plain,
( e13 = op1(e11,e12)
| e12 = op1(e11,e12)
| e11 = op1(e11,e12)
| e10 = op1(e11,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1578,plain,
( spl42_194
| spl42_164
| spl42_157
| spl42_192 ),
inference(avatar_split_clause,[],[f335,f1506,f1254,f1292,f1524]) ).
fof(f1292,plain,
( spl42_164
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_164])]) ).
fof(f335,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1577,plain,
( spl42_181
| spl42_180
| spl42_142
| spl42_179 ),
inference(avatar_split_clause,[],[f336,f1386,f1175,f1391,f1396]) ).
fof(f1391,plain,
( spl42_180
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_180])]) ).
fof(f1386,plain,
( spl42_179
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_179])]) ).
fof(f336,plain,
( e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e11 = op1(e12,e12)
| e10 = op1(e12,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1567,plain,
( spl42_177
| spl42_174
| spl42_171 ),
inference(avatar_split_clause,[],[f1566,f1329,f1344,f1359]) ).
fof(f1329,plain,
( spl42_171
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_171])]) ).
fof(f1566,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10) ),
inference(subsumption_resolution,[],[f1565,f172]) ).
fof(f1565,plain,
( e10 = e11
| e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10) ),
inference(forward_demodulation,[],[f295,f1169]) ).
fof(f295,plain,
( e10 = op1(e13,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1564,plain,
( spl42_197
| spl42_159 ),
inference(avatar_split_clause,[],[f1563,f1264,f1541]) ).
fof(f1563,plain,
( e12 = op1(e10,e12)
| e12 = op1(e10,e11) ),
inference(subsumption_resolution,[],[f1562,f175]) ).
fof(f1562,plain,
( e11 = e12
| e12 = op1(e10,e12)
| e12 = op1(e10,e11) ),
inference(forward_demodulation,[],[f1561,f1169]) ).
fof(f1561,plain,
( e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(subsumption_resolution,[],[f298,f1447]) ).
fof(f298,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1544,plain,
( spl42_197
| spl42_184
| spl42_157
| spl42_187 ),
inference(avatar_split_clause,[],[f307,f1467,f1254,f1410,f1541]) ).
fof(f1410,plain,
( spl42_184
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_184])]) ).
fof(f307,plain,
( e12 = op1(e13,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1489,plain,
( spl42_162
| spl42_188 ),
inference(avatar_split_clause,[],[f1484,f1486,f1279]) ).
fof(f1484,plain,
( e11 = op1(e13,e12)
| e11 = op1(e13,e11) ),
inference(subsumption_resolution,[],[f1483,f172]) ).
fof(f1483,plain,
( e10 = e11
| e11 = op1(e13,e12)
| e11 = op1(e13,e11) ),
inference(forward_demodulation,[],[f1482,f178]) ).
fof(f1482,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11) ),
inference(subsumption_resolution,[],[f320,f1448]) ).
fof(f1448,plain,
e11 != op1(e13,e10),
inference(forward_demodulation,[],[f248,f1169]) ).
fof(f248,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f320,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1481,plain,
~ spl42_180,
inference(avatar_split_clause,[],[f1479,f1391]) ).
fof(f1479,plain,
e11 != op1(e12,e12),
inference(backward_demodulation,[],[f287,f1475]) ).
fof(f287,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1480,plain,
~ spl42_164,
inference(avatar_split_clause,[],[f1478,f1292]) ).
fof(f1478,plain,
e11 != op1(e12,e11),
inference(backward_demodulation,[],[f286,f1475]) ).
fof(f286,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1459,plain,
( spl42_150
| spl42_147
| spl42_144 ),
inference(avatar_split_clause,[],[f1458,f1185,f1202,f1217]) ).
fof(f1458,plain,
( e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(subsumption_resolution,[],[f1457,f174]) ).
fof(f174,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1457,plain,
( e10 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(forward_demodulation,[],[f324,f178]) ).
fof(f324,plain,
( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1446,plain,
~ spl42_172,
inference(avatar_split_clause,[],[f1445,f1334]) ).
fof(f1445,plain,
e10 != op1(e10,e13),
inference(forward_demodulation,[],[f266,f178]) ).
fof(f266,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1444,plain,
~ spl42_153,
inference(avatar_split_clause,[],[f1443,f1232]) ).
fof(f1232,plain,
( spl42_153
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl42_153])]) ).
fof(f1443,plain,
e12 != op1(e12,e13),
inference(forward_demodulation,[],[f267,f1168]) ).
fof(f267,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1435,plain,
~ spl42_184,
inference(avatar_split_clause,[],[f1434,f1410]) ).
fof(f1434,plain,
e12 != op1(e11,e11),
inference(forward_demodulation,[],[f280,f1168]) ).
fof(f280,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1433,plain,
~ spl42_156,
inference(avatar_split_clause,[],[f1432,f1249]) ).
fof(f1432,plain,
e12 != op1(e11,e12),
inference(forward_demodulation,[],[f281,f1168]) ).
fof(f281,plain,
op1(e11,e12) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1431,plain,
~ spl42_171,
inference(avatar_split_clause,[],[f1430,f1329]) ).
fof(f1430,plain,
e10 != op1(e13,e10),
inference(forward_demodulation,[],[f290,f178]) ).
fof(f290,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1427,plain,
( spl42_146
| spl42_142 ),
inference(avatar_split_clause,[],[f1426,f1175,f1194]) ).
fof(f1426,plain,
( e12 = op1(e12,e12)
| e11 = op1(e11,e11) ),
inference(subsumption_resolution,[],[f1425,f172]) ).
fof(f1425,plain,
( e10 = e11
| e12 = op1(e12,e12)
| e11 = op1(e11,e11) ),
inference(forward_demodulation,[],[f1424,f1169]) ).
fof(f1424,plain,
( e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(subsumption_resolution,[],[f1423,f174]) ).
fof(f1423,plain,
( e10 = e13
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(forward_demodulation,[],[f226,f178]) ).
fof(f226,plain,
( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ) ),
inference(definition_folding,[],[f10,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36,f35,f34]) ).
fof(f34,plain,
( ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f35,plain,
( ( e11 != op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f36,plain,
( ( e12 != op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f37,plain,
( ( e13 != op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f38,plain,
( ( e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f39,plain,
( ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f40,plain,
( ( e12 != op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f41,plain,
( ( e13 != op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f42,plain,
( ( e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f43,plain,
( ( e11 != op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f44,plain,
( ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f45,plain,
( ( e13 != op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f46,plain,
( ( e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f47,plain,
( ( e11 != op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f48,plain,
( ( e12 != op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f10,axiom,
( ( ( e13 != op1(e13,e13)
& e13 = op1(e13,e13)
& e13 = op1(e13,e13) )
| ( e12 != op1(e12,e12)
& e13 = op1(e12,e13)
& e13 = op1(e13,e12) )
| ( e11 != op1(e11,e11)
& e13 = op1(e11,e13)
& e13 = op1(e13,e11) )
| ( e10 != op1(e10,e10)
& e13 = op1(e10,e13)
& e13 = op1(e13,e10) )
| ( e13 != op1(e13,e13)
& e12 = op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e12 != op1(e12,e12)
& e12 = op1(e12,e12)
& e12 = op1(e12,e12) )
| ( e11 != op1(e11,e11)
& e12 = op1(e11,e12)
& e12 = op1(e12,e11) )
| ( e10 != op1(e10,e10)
& e12 = op1(e10,e12)
& e12 = op1(e12,e10) )
| ( e13 != op1(e13,e13)
& e11 = op1(e13,e11)
& e11 = op1(e11,e13) )
| ( e12 != op1(e12,e12)
& e11 = op1(e12,e11)
& e11 = op1(e11,e12) )
| ( e11 != op1(e11,e11)
& e11 = op1(e11,e11)
& e11 = op1(e11,e11) )
| ( e10 != op1(e10,e10)
& e11 = op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e13 != op1(e13,e13)
& e10 = op1(e13,e10)
& e10 = op1(e10,e13) )
| ( e12 != op1(e12,e12)
& e10 = op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e11 != op1(e11,e11)
& e10 = op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e10 != op1(e10,e10)
& e10 = op1(e10,e10)
& e10 = op1(e10,e10) ) )
& ( e13 = op1(e13,e13)
| e13 != op1(e13,e13) )
& ( e13 = op1(e13,e12)
| e12 != op1(e13,e13) )
& ( e13 = op1(e13,e11)
| e11 != op1(e13,e13) )
& ( e13 = op1(e13,e10)
| e10 != op1(e13,e13) )
& ( e12 = op1(e12,e13)
| e13 != op1(e12,e12) )
& ( e12 = op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e12 = op1(e12,e11)
| e11 != op1(e12,e12) )
& ( e12 = op1(e12,e10)
| e10 != op1(e12,e12) )
& ( e11 = op1(e11,e13)
| e13 != op1(e11,e11) )
& ( e11 = op1(e11,e12)
| e12 != op1(e11,e11) )
& ( e11 = op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e11 = op1(e11,e10)
| e10 != op1(e11,e11) )
& ( e10 = op1(e10,e13)
| op1(e10,e10) != e13 )
& ( e10 = op1(e10,e12)
| op1(e10,e10) != e12 )
& ( e10 = op1(e10,e11)
| op1(e10,e10) != e11 )
& ( e10 = op1(e10,e10)
| e10 != op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e12 = op1(e12,e12)
| e11 = op1(e11,e11)
| e10 = op1(e10,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f1422,plain,
spl42_178,
inference(avatar_split_clause,[],[f1421,f1364]) ).
fof(f1421,plain,
e10 = op1(e10,e11),
inference(subsumption_resolution,[],[f228,f1169]) ).
fof(f228,plain,
( e10 = op1(e10,e11)
| op1(e10,e10) != e11 ),
inference(cnf_transformation,[],[f49]) ).
fof(f1399,plain,
( ~ spl42_181
| spl42_160 ),
inference(avatar_split_clause,[],[f235,f1269,f1396]) ).
fof(f235,plain,
( e12 = op1(e12,e10)
| e10 != op1(e12,e12) ),
inference(cnf_transformation,[],[f49]) ).
fof(f1389,plain,
( ~ spl42_179
| spl42_153 ),
inference(avatar_split_clause,[],[f238,f1232,f1386]) ).
fof(f238,plain,
( e12 = op1(e12,e13)
| e13 != op1(e12,e12) ),
inference(cnf_transformation,[],[f49]) ).
fof(f989,plain,
( ~ spl42_81
| ~ spl42_82
| ~ spl42_83
| ~ spl42_84
| ~ spl42_85
| ~ spl42_86
| ~ spl42_87
| ~ spl42_88
| ~ spl42_89
| ~ spl42_90
| ~ spl42_91
| ~ spl42_92
| ~ spl42_93
| ~ spl42_94
| ~ spl42_95
| ~ spl42_96
| spl42_26
| spl42_21
| spl42_16
| ~ spl42_98 ),
inference(avatar_split_clause,[],[f166,f986,f617,f641,f665,f977,f973,f969,f965,f961,f957,f953,f949,f945,f941,f937,f933,f929,f925,f921,f917]) ).
fof(f665,plain,
( spl42_26
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_26])]) ).
fof(f641,plain,
( spl42_21
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_21])]) ).
fof(f617,plain,
( spl42_16
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl42_16])]) ).
fof(f166,plain,
( e23 != h3(e12)
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| sP11
| sP10
| sP9
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| sP8
| sP7
| sP6
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| sP5
| sP4
| sP3
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| sP2
| sP1
| sP0
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f25,plain,
( ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f26,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f27,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f28,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f29,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f30,plain,
( ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f31,plain,
( ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f32,plain,
( ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f20,plain,
( ( ( e23 != h4(e13)
& e23 != h4(e12)
& e23 != h4(e11)
& e23 != h4(e10) )
| ( e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11)
& e22 != h4(e10) )
| ( e21 != h4(e13)
& e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10) )
| ( e20 != h4(e13)
& e20 != h4(e12)
& e20 != h4(e11)
& e20 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10)) )
& ( ( e23 != h3(e13)
& e23 != h3(e12)
& e23 != h3(e11)
& e23 != h3(e10) )
| ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10)) )
& ( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ( e21 != h2(e13)
& e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10) )
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) )
& ( ( e23 != h1(e13)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e10) )
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e21 != h1(e13)
& e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10) )
| ( e20 != h1(e13)
& e20 != h1(e12)
& e20 != h1(e11)
& e20 != h1(e10) )
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) )
& ( e22 = h4(e13)
| e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e21 = h4(e13)
| e21 = h4(e12)
| e21 = h4(e11)
| e21 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e11)
| e20 = h4(e10) )
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) )
| ( ( e23 = h3(e13)
| e23 = h3(e12)
| e23 = h3(e11)
| e23 = h3(e10) )
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& ( e21 = h3(e13)
| e21 = h3(e12)
| e21 = h3(e11)
| e21 = h3(e10) )
& ( e20 = h3(e13)
| e20 = h3(e12)
| e20 = h3(e11)
| e20 = h3(e10) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) )
| ( ( e23 = h2(e13)
| e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10) )
& ( e22 = h2(e13)
| e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10) )
& ( e21 = h2(e13)
| e21 = h2(e12)
| e21 = h2(e11)
| e21 = h2(e10) )
& ( e20 = h2(e13)
| e20 = h2(e12)
| e20 = h2(e11)
| e20 = h2(e10) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) )
| ( ( e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& ( e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f687,plain,
( ~ spl42_26
| ~ spl42_30 ),
inference(avatar_split_clause,[],[f128,f684,f665]) ).
fof(f128,plain,
( e20 != h3(e10)
| ~ sP6 ),
inference(cnf_transformation,[],[f71]) ).
fof(f71,plain,
( ( e20 != h3(e13)
& e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10) )
| ~ sP6 ),
inference(nnf_transformation,[],[f27]) ).
fof(f658,plain,
( ~ spl42_21
| ~ spl42_24 ),
inference(avatar_split_clause,[],[f125,f655,f641]) ).
fof(f125,plain,
( e21 != h3(e11)
| ~ sP7 ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
( ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ~ sP7 ),
inference(nnf_transformation,[],[f28]) ).
fof(f624,plain,
( ~ spl42_16
| ~ spl42_17 ),
inference(avatar_split_clause,[],[f123,f621,f617]) ).
fof(f123,plain,
( e22 != h3(e13)
| ~ sP8 ),
inference(cnf_transformation,[],[f69]) ).
fof(f69,plain,
( ( e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11)
& e22 != h3(e10) )
| ~ sP8 ),
inference(nnf_transformation,[],[f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG121+1 : TPTP v8.2.0. Released v2.7.0.
% 0.13/0.14 % 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
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat May 18 22:42:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.13/0.35 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
% 0.55/0.74 % (24122)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 (2996ds/83Mi)
% 0.55/0.74 % (24116)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 (2996ds/34Mi)
% 0.55/0.74 % (24118)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.55/0.74 % (24117)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 (2996ds/51Mi)
% 0.55/0.74 % (24121)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.55/0.74 % (24119)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.55/0.74 % (24123)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 (2996ds/56Mi)
% 0.55/0.74 % (24120)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 (2996ds/34Mi)
% 0.55/0.76 % (24123)Refutation not found, incomplete strategy% (24123)------------------------------
% 0.55/0.76 % (24123)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24123)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (24123)Memory used [KB]: 1474
% 0.55/0.76 % (24123)Time elapsed: 0.014 s
% 0.55/0.76 % (24123)Instructions burned: 31 (million)
% 0.55/0.76 % (24120)Refutation not found, incomplete strategy% (24120)------------------------------
% 0.55/0.76 % (24120)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24120)Termination reason: Refutation not found, incomplete strategy
% 0.55/0.76
% 0.55/0.76 % (24120)Memory used [KB]: 1568
% 0.55/0.76 % (24120)Time elapsed: 0.015 s
% 0.55/0.76 % (24123)------------------------------
% 0.55/0.76 % (24123)------------------------------
% 0.55/0.76 % (24120)Instructions burned: 33 (million)
% 0.55/0.76 % (24120)------------------------------
% 0.55/0.76 % (24120)------------------------------
% 0.55/0.76 % (24116)Instruction limit reached!
% 0.55/0.76 % (24116)------------------------------
% 0.55/0.76 % (24116)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24116)Termination reason: Unknown
% 0.55/0.76 % (24116)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (24116)Memory used [KB]: 1994
% 0.55/0.76 % (24116)Time elapsed: 0.016 s
% 0.55/0.76 % (24116)Instructions burned: 34 (million)
% 0.55/0.76 % (24116)------------------------------
% 0.55/0.76 % (24116)------------------------------
% 0.55/0.76 % (24119)Instruction limit reached!
% 0.55/0.76 % (24119)------------------------------
% 0.55/0.76 % (24119)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24119)Termination reason: Unknown
% 0.55/0.76 % (24119)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (24119)Memory used [KB]: 1819
% 0.55/0.76 % (24119)Time elapsed: 0.017 s
% 0.55/0.76 % (24119)Instructions burned: 35 (million)
% 0.55/0.76 % (24119)------------------------------
% 0.55/0.76 % (24119)------------------------------
% 0.55/0.76 % (24124)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 (2996ds/55Mi)
% 0.55/0.76 % (24121)Instruction limit reached!
% 0.55/0.76 % (24121)------------------------------
% 0.55/0.76 % (24121)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24121)Termination reason: Unknown
% 0.55/0.76 % (24121)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (24121)Memory used [KB]: 1511
% 0.55/0.76 % (24121)Time elapsed: 0.019 s
% 0.55/0.76 % (24121)Instructions burned: 46 (million)
% 0.55/0.76 % (24121)------------------------------
% 0.55/0.76 % (24121)------------------------------
% 0.55/0.76 % (24122)Instruction limit reached!
% 0.55/0.76 % (24122)------------------------------
% 0.55/0.76 % (24122)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76 % (24122)Termination reason: Unknown
% 0.55/0.76 % (24122)Termination phase: Saturation
% 0.55/0.76
% 0.55/0.76 % (24122)Memory used [KB]: 1767
% 0.55/0.76 % (24122)Time elapsed: 0.020 s
% 0.55/0.76 % (24122)Instructions burned: 87 (million)
% 0.55/0.76 % (24122)------------------------------
% 0.55/0.76 % (24122)------------------------------
% 0.68/0.76 % (24125)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 (2996ds/50Mi)
% 0.68/0.76 % (24127)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 (2996ds/52Mi)
% 0.68/0.76 % (24126)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 (2996ds/208Mi)
% 0.68/0.77 % (24117)Instruction limit reached!
% 0.68/0.77 % (24117)------------------------------
% 0.68/0.77 % (24117)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.77 % (24117)Termination reason: Unknown
% 0.68/0.77 % (24117)Termination phase: Saturation
% 0.68/0.77
% 0.68/0.77 % (24117)Memory used [KB]: 1768
% 0.68/0.77 % (24117)Time elapsed: 0.023 s
% 0.68/0.77 % (24117)Instructions burned: 52 (million)
% 0.68/0.77 % (24117)------------------------------
% 0.68/0.77 % (24117)------------------------------
% 0.68/0.77 % (24128)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 (2996ds/518Mi)
% 0.68/0.77 % (24129)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 (2996ds/42Mi)
% 0.68/0.77 % (24130)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 (2996ds/243Mi)
% 0.68/0.78 % (24118)First to succeed.
% 0.68/0.78 % (24125)Instruction limit reached!
% 0.68/0.78 % (24125)------------------------------
% 0.68/0.78 % (24125)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.78 % (24125)Termination reason: Unknown
% 0.68/0.78 % (24125)Termination phase: Property scanning
% 0.68/0.78
% 0.68/0.78 % (24125)Memory used [KB]: 2668
% 0.68/0.78 % (24125)Time elapsed: 0.022 s
% 0.68/0.78 % (24125)Instructions burned: 50 (million)
% 0.68/0.78 % (24125)------------------------------
% 0.68/0.78 % (24125)------------------------------
% 0.68/0.79 % (24118)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-24115"
% 0.68/0.79 % (24118)Refutation found. Thanks to Tanya!
% 0.68/0.79 % SZS status Theorem for theBenchmark
% 0.68/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.68/0.79 % (24118)------------------------------
% 0.68/0.79 % (24118)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.68/0.79 % (24118)Termination reason: Refutation
% 0.68/0.79
% 0.68/0.79 % (24118)Memory used [KB]: 2063
% 0.68/0.79 % (24118)Time elapsed: 0.043 s
% 0.68/0.79 % (24118)Instructions burned: 90 (million)
% 0.68/0.79 % (24115)Success in time 0.415 s
% 0.68/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------