TSTP Solution File: ALG038+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:16 EDT 2022
% Result : Theorem 2.30s 0.67s
% Output : Refutation 2.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 137
% Syntax : Number of formulae : 612 ( 90 unt; 0 def)
% Number of atoms : 2669 (1682 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3318 (1261 ~;1458 |; 491 &)
% ( 108 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 122 ( 120 usr; 121 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3951,plain,
$false,
inference(avatar_sat_refutation,[],[f725,f890,f891,f1007,f1137,f1191,f1200,f1273,f1368,f1470,f1476,f1477,f1487,f1497,f1510,f1522,f1527,f1558,f1588,f1629,f1658,f1660,f1661,f1667,f1686,f1693,f1696,f1697,f1807,f1820,f1822,f1891,f1934,f1962,f1963,f1973,f2021,f2022,f2025,f2026,f2038,f2047,f2058,f2079,f2088,f2103,f2118,f2120,f2135,f2146,f2164,f2185,f2194,f2217,f2239,f2256,f2260,f2273,f2311,f2339,f2392,f2394,f2422,f2431,f2435,f2446,f2473,f2496,f2525,f2535,f2544,f2580,f2665,f2681,f2740,f2770,f2795,f2821,f2853,f2869,f2875,f2904,f2919,f2942,f2954,f3025,f3062,f3082,f3083,f3126,f3154,f3193,f3224,f3283,f3304,f3343,f3370,f3439,f3487,f3550,f3575,f3642,f3665,f3699,f3709,f3807,f3821,f3873,f3903]) ).
fof(f3903,plain,
( ~ spl12_181
| spl12_214
| ~ spl12_240
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3902]) ).
fof(f3902,plain,
( $false
| ~ spl12_181
| spl12_214
| ~ spl12_240
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3901,f1168]) ).
fof(f1168,plain,
( e23 = op2(e21,e21)
| ~ spl12_181 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1167,plain,
( spl12_181
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_181])]) ).
fof(f3901,plain,
( e23 != op2(e21,e21)
| spl12_214
| ~ spl12_240
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3900,f1805]) ).
fof(f1805,plain,
( e23 = h2(e13)
| ~ spl12_288 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f1804,plain,
( spl12_288
<=> e23 = h2(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_288])]) ).
fof(f3900,plain,
( op2(e21,e21) != h2(e13)
| spl12_214
| ~ spl12_240 ),
inference(forward_demodulation,[],[f1326,f1485]) ).
fof(f1485,plain,
( e21 = h2(e11)
| ~ spl12_240 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1484,plain,
( spl12_240
<=> e21 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_240])]) ).
fof(f1326,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| spl12_214 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl12_214
<=> h2(e13) = op2(h2(e11),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_214])]) ).
fof(f3873,plain,
( ~ spl12_236
| ~ spl12_288 ),
inference(avatar_split_clause,[],[f2373,f1804,f1450]) ).
fof(f1450,plain,
( spl12_236
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_236])]) ).
fof(f2373,plain,
( e23 != op2(e21,e20)
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1825,f1805]) ).
fof(f1825,plain,
op2(e21,e20) != h2(e13),
inference(backward_demodulation,[],[f303,f84]) ).
fof(f84,plain,
op2(e21,e21) = h2(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e21,op2(e21,e21)) = h2(e12)
& op2(e21,e21) = h2(e13)
& op2(e21,op2(e21,op2(e21,e21))) = h2(e10)
& e21 = h2(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f303,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( op2(e21,e21) != op2(e23,e21)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e20) != op2(e20,e23)
& op2(e22,e20) != op2(e22,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e23,e20) != op2(e23,e22)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e22) != op2(e22,e22)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e23) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e20,e20) != op2(e22,e20)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e21)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e20,e23)
& op2(e21,e20) != op2(e22,e20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f3821,plain,
( ~ spl12_75
| ~ spl12_207
| ~ spl12_229
| spl12_256
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3820]) ).
fof(f3820,plain,
( $false
| ~ spl12_75
| ~ spl12_207
| ~ spl12_229
| spl12_256
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3819,f1581]) ).
fof(f1581,plain,
( e20 != e23
| spl12_256 ),
inference(avatar_component_clause,[],[f1579]) ).
fof(f1579,plain,
( spl12_256
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_256])]) ).
fof(f3819,plain,
( e20 = e23
| ~ spl12_75
| ~ spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3464,f694]) ).
fof(f694,plain,
( e20 = op2(e23,e20)
| ~ spl12_75 ),
inference(avatar_component_clause,[],[f692]) ).
fof(f692,plain,
( spl12_75
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_75])]) ).
fof(f3464,plain,
( e23 = op2(e23,e20)
| ~ spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3463,f1805]) ).
fof(f3463,plain,
( op2(e23,e20) = h2(e13)
| ~ spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3462,f1405]) ).
fof(f1405,plain,
( e13 = op1(e13,e10)
| ~ spl12_229 ),
inference(avatar_component_clause,[],[f1403]) ).
fof(f1403,plain,
( spl12_229
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_229])]) ).
fof(f3462,plain,
( op2(e23,e20) = h2(op1(e13,e10))
| ~ spl12_207
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1297,f1805]) ).
fof(f1297,plain,
( h2(op1(e13,e10)) = op2(h2(e13),e20)
| ~ spl12_207 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f1296,plain,
( spl12_207
<=> h2(op1(e13,e10)) = op2(h2(e13),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_207])]) ).
fof(f3807,plain,
( ~ spl12_180
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f2528,f502,f1162]) ).
fof(f1162,plain,
( spl12_180
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_180])]) ).
fof(f502,plain,
( spl12_30
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_30])]) ).
fof(f2528,plain,
( e22 != op2(e21,e20)
| ~ spl12_30 ),
inference(forward_demodulation,[],[f308,f504]) ).
fof(f504,plain,
( e22 = op2(e21,e23)
| ~ spl12_30 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f308,plain,
op2(e21,e20) != op2(e21,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f3709,plain,
( ~ spl12_201
| ~ spl12_202 ),
inference(avatar_split_clause,[],[f3708,f1265,f1261]) ).
fof(f1261,plain,
( spl12_201
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_201])]) ).
fof(f1265,plain,
( spl12_202
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_202])]) ).
fof(f3708,plain,
( e23 != op2(e22,e23)
| ~ spl12_202 ),
inference(forward_demodulation,[],[f310,f1267]) ).
fof(f1267,plain,
( e23 = op2(e20,e23)
| ~ spl12_202 ),
inference(avatar_component_clause,[],[f1265]) ).
fof(f310,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f3699,plain,
( ~ spl12_30
| ~ spl12_271 ),
inference(avatar_contradiction_clause,[],[f3698]) ).
fof(f3698,plain,
( $false
| ~ spl12_30
| ~ spl12_271 ),
inference(subsumption_resolution,[],[f3697,f121]) ).
fof(f121,plain,
e21 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f10,axiom,
( e20 != e21
& e20 != e22
& e21 != e22
& e22 != e23
& e21 != e23
& e20 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f3697,plain,
( e21 = e22
| ~ spl12_30
| ~ spl12_271 ),
inference(backward_demodulation,[],[f504,f1665]) ).
fof(f1665,plain,
( e21 = op2(e21,e23)
| ~ spl12_271 ),
inference(avatar_component_clause,[],[f1663]) ).
fof(f1663,plain,
( spl12_271
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_271])]) ).
fof(f3665,plain,
( ~ spl12_2
| spl12_213
| ~ spl12_250 ),
inference(avatar_contradiction_clause,[],[f3664]) ).
fof(f3664,plain,
( $false
| ~ spl12_2
| spl12_213
| ~ spl12_250 ),
inference(subsumption_resolution,[],[f3663,f1547]) ).
fof(f1547,plain,
( e20 = op2(e20,e20)
| ~ spl12_250 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1545,plain,
( spl12_250
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_250])]) ).
fof(f3663,plain,
( e20 != op2(e20,e20)
| ~ spl12_2
| spl12_213 ),
inference(forward_demodulation,[],[f3662,f992]) ).
fof(f992,plain,
e20 = h2(e10),
inference(backward_demodulation,[],[f83,f80]) ).
fof(f80,plain,
e20 = op2(e21,op2(e21,op2(e21,e21))),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( e23 = op2(e21,e21)
& e20 = op2(e21,op2(e21,op2(e21,e21)))
& e22 = op2(e21,op2(e21,e21)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f83,plain,
op2(e21,op2(e21,op2(e21,e21))) = h2(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f3662,plain,
( op2(e20,e20) != h2(e10)
| ~ spl12_2
| spl12_213 ),
inference(forward_demodulation,[],[f1322,f388]) ).
fof(f388,plain,
( e10 = op1(e10,e10)
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl12_2
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f1322,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| spl12_213 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl12_213
<=> op2(e20,e20) = h2(op1(e10,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_213])]) ).
fof(f3642,plain,
( ~ spl12_175
| spl12_211
| ~ spl12_240
| ~ spl12_252 ),
inference(avatar_contradiction_clause,[],[f3641]) ).
fof(f3641,plain,
( $false
| ~ spl12_175
| spl12_211
| ~ spl12_240
| ~ spl12_252 ),
inference(subsumption_resolution,[],[f3640,f1557]) ).
fof(f1557,plain,
( e21 = op2(e21,e20)
| ~ spl12_252 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1555,plain,
( spl12_252
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_252])]) ).
fof(f3640,plain,
( e21 != op2(e21,e20)
| ~ spl12_175
| spl12_211
| ~ spl12_240 ),
inference(forward_demodulation,[],[f3639,f1485]) ).
fof(f3639,plain,
( op2(e21,e20) != h2(e11)
| ~ spl12_175
| spl12_211
| ~ spl12_240 ),
inference(forward_demodulation,[],[f3638,f1142]) ).
fof(f1142,plain,
( e11 = op1(e11,e10)
| ~ spl12_175 ),
inference(avatar_component_clause,[],[f1140]) ).
fof(f1140,plain,
( spl12_175
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_175])]) ).
fof(f3638,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| spl12_211
| ~ spl12_240 ),
inference(forward_demodulation,[],[f1314,f1485]) ).
fof(f1314,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| spl12_211 ),
inference(avatar_component_clause,[],[f1312]) ).
fof(f1312,plain,
( spl12_211
<=> h2(op1(e11,e10)) = op2(h2(e11),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_211])]) ).
fof(f3575,plain,
( ~ spl12_87
| ~ spl12_142
| spl12_209
| ~ spl12_243 ),
inference(avatar_contradiction_clause,[],[f3574]) ).
fof(f3574,plain,
( $false
| ~ spl12_87
| ~ spl12_142
| spl12_209
| ~ spl12_243 ),
inference(subsumption_resolution,[],[f3573,f996]) ).
fof(f996,plain,
( e22 = op2(e22,e20)
| ~ spl12_142 ),
inference(avatar_component_clause,[],[f994]) ).
fof(f994,plain,
( spl12_142
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_142])]) ).
fof(f3573,plain,
( e22 != op2(e22,e20)
| ~ spl12_87
| spl12_209
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3572,f1508]) ).
fof(f1508,plain,
( e22 = h2(e12)
| ~ spl12_243 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1507,plain,
( spl12_243
<=> e22 = h2(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_243])]) ).
fof(f3572,plain,
( op2(e22,e20) != h2(e12)
| ~ spl12_87
| spl12_209
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3571,f746]) ).
fof(f746,plain,
( e12 = op1(e12,e10)
| ~ spl12_87 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl12_87
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_87])]) ).
fof(f3571,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| spl12_209
| ~ spl12_243 ),
inference(forward_demodulation,[],[f1306,f1508]) ).
fof(f1306,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| spl12_209 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl12_209
<=> h2(op1(e12,e10)) = op2(h2(e12),e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_209])]) ).
fof(f3550,plain,
( ~ spl12_25
| ~ spl12_172
| spl12_212
| ~ spl12_240 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3549,plain,
( $false
| ~ spl12_25
| ~ spl12_172
| spl12_212
| ~ spl12_240 ),
inference(subsumption_resolution,[],[f3548,f1127]) ).
fof(f1127,plain,
( e21 = op2(e20,e21)
| ~ spl12_172 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1125,plain,
( spl12_172
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_172])]) ).
fof(f3548,plain,
( e21 != op2(e20,e21)
| ~ spl12_25
| spl12_212
| ~ spl12_240 ),
inference(forward_demodulation,[],[f3547,f1485]) ).
fof(f3547,plain,
( op2(e20,e21) != h2(e11)
| ~ spl12_25
| spl12_212
| ~ spl12_240 ),
inference(forward_demodulation,[],[f3546,f483]) ).
fof(f483,plain,
( e11 = op1(e10,e11)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f481,plain,
( spl12_25
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_25])]) ).
fof(f3546,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| spl12_212
| ~ spl12_240 ),
inference(forward_demodulation,[],[f1318,f1485]) ).
fof(f1318,plain,
( h2(op1(e10,e11)) != op2(e20,h2(e11))
| spl12_212 ),
inference(avatar_component_clause,[],[f1316]) ).
fof(f1316,plain,
( spl12_212
<=> h2(op1(e10,e11)) = op2(e20,h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_212])]) ).
fof(f3487,plain,
( ~ spl12_88
| ~ spl12_117
| spl12_208
| ~ spl12_243 ),
inference(avatar_contradiction_clause,[],[f3486]) ).
fof(f3486,plain,
( $false
| ~ spl12_88
| ~ spl12_117
| spl12_208
| ~ spl12_243 ),
inference(subsumption_resolution,[],[f3485,f879]) ).
fof(f879,plain,
( e22 = op2(e20,e22)
| ~ spl12_117 ),
inference(avatar_component_clause,[],[f877]) ).
fof(f877,plain,
( spl12_117
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_117])]) ).
fof(f3485,plain,
( e22 != op2(e20,e22)
| ~ spl12_88
| spl12_208
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3484,f1508]) ).
fof(f3484,plain,
( op2(e20,e22) != h2(e12)
| ~ spl12_88
| spl12_208
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3483,f751]) ).
fof(f751,plain,
( e12 = op1(e10,e12)
| ~ spl12_88 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl12_88
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_88])]) ).
fof(f3483,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| spl12_208
| ~ spl12_243 ),
inference(forward_demodulation,[],[f1302,f1508]) ).
fof(f1302,plain,
( h2(op1(e10,e12)) != op2(e20,h2(e12))
| spl12_208 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f1300,plain,
( spl12_208
<=> h2(op1(e10,e12)) = op2(e20,h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_208])]) ).
fof(f3439,plain,
( ~ spl12_34
| spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3438]) ).
fof(f3438,plain,
( $false
| ~ spl12_34
| spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3437,f521]) ).
fof(f521,plain,
( e23 = op2(e23,e20)
| ~ spl12_34 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f519,plain,
( spl12_34
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_34])]) ).
fof(f3437,plain,
( e23 != op2(e23,e20)
| spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3436,f1805]) ).
fof(f3436,plain,
( op2(e23,e20) != h2(e13)
| spl12_207
| ~ spl12_229
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3435,f1405]) ).
fof(f3435,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| spl12_207
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1298,f1805]) ).
fof(f1298,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| spl12_207 ),
inference(avatar_component_clause,[],[f1296]) ).
fof(f3370,plain,
( ~ spl12_202
| spl12_206
| ~ spl12_220
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3369]) ).
fof(f3369,plain,
( $false
| ~ spl12_202
| spl12_206
| ~ spl12_220
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3368,f1267]) ).
fof(f3368,plain,
( e23 != op2(e20,e23)
| spl12_206
| ~ spl12_220
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3367,f1805]) ).
fof(f3367,plain,
( op2(e20,e23) != h2(e13)
| spl12_206
| ~ spl12_220
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3366,f1357]) ).
fof(f1357,plain,
( e13 = op1(e10,e13)
| ~ spl12_220 ),
inference(avatar_component_clause,[],[f1355]) ).
fof(f1355,plain,
( spl12_220
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_220])]) ).
fof(f3366,plain,
( op2(e20,e23) != h2(op1(e10,e13))
| spl12_206
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1294,f1805]) ).
fof(f1294,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| spl12_206 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl12_206
<=> h2(op1(e10,e13)) = op2(e20,h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_206])]) ).
fof(f3343,plain,
( spl12_24
| ~ spl12_101
| ~ spl12_113
| ~ spl12_240
| ~ spl12_243 ),
inference(avatar_contradiction_clause,[],[f3342]) ).
fof(f3342,plain,
( $false
| spl12_24
| ~ spl12_101
| ~ spl12_113
| ~ spl12_240
| ~ spl12_243 ),
inference(subsumption_resolution,[],[f3341,f862]) ).
fof(f862,plain,
( e20 = op2(e22,e21)
| ~ spl12_113 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f860,plain,
( spl12_113
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_113])]) ).
fof(f3341,plain,
( e20 != op2(e22,e21)
| spl12_24
| ~ spl12_101
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3340,f992]) ).
fof(f3340,plain,
( op2(e22,e21) != h2(e10)
| spl12_24
| ~ spl12_101
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3339,f809]) ).
fof(f809,plain,
( e10 = op1(e12,e11)
| ~ spl12_101 ),
inference(avatar_component_clause,[],[f807]) ).
fof(f807,plain,
( spl12_101
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_101])]) ).
fof(f3339,plain,
( op2(e22,e21) != h2(op1(e12,e11))
| spl12_24
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3338,f1508]) ).
fof(f3338,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| spl12_24
| ~ spl12_240 ),
inference(forward_demodulation,[],[f478,f1485]) ).
fof(f478,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl12_24 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f476,plain,
( spl12_24
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_24])]) ).
fof(f3304,plain,
( spl12_23
| ~ spl12_30
| ~ spl12_102
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3303]) ).
fof(f3303,plain,
( $false
| spl12_23
| ~ spl12_30
| ~ spl12_102
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3302,f504]) ).
fof(f3302,plain,
( e22 != op2(e21,e23)
| spl12_23
| ~ spl12_102
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3301,f1508]) ).
fof(f3301,plain,
( op2(e21,e23) != h2(e12)
| spl12_23
| ~ spl12_102
| ~ spl12_240
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3300,f814]) ).
fof(f814,plain,
( e12 = op1(e11,e13)
| ~ spl12_102 ),
inference(avatar_component_clause,[],[f812]) ).
fof(f812,plain,
( spl12_102
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_102])]) ).
fof(f3300,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| spl12_23
| ~ spl12_240
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3299,f1485]) ).
fof(f3299,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl12_23
| ~ spl12_288 ),
inference(forward_demodulation,[],[f474,f1805]) ).
fof(f474,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl12_23 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f472,plain,
( spl12_23
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_23])]) ).
fof(f3283,plain,
( ~ spl12_4
| spl12_15
| ~ spl12_98
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3282]) ).
fof(f3282,plain,
( $false
| ~ spl12_4
| spl12_15
| ~ spl12_98
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3281,f796]) ).
fof(f796,plain,
( e20 = op2(e23,e23)
| ~ spl12_98 ),
inference(avatar_component_clause,[],[f794]) ).
fof(f794,plain,
( spl12_98
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_98])]) ).
fof(f3281,plain,
( e20 != op2(e23,e23)
| ~ spl12_4
| spl12_15
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3280,f992]) ).
fof(f3280,plain,
( op2(e23,e23) != h2(e10)
| ~ spl12_4
| spl12_15
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3279,f396]) ).
fof(f396,plain,
( e10 = op1(e13,e13)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl12_4
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f3279,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl12_15
| ~ spl12_288 ),
inference(forward_demodulation,[],[f442,f1805]) ).
fof(f442,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl12_15 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f440,plain,
( spl12_15
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_15])]) ).
fof(f3224,plain,
( spl12_21
| ~ spl12_240
| ~ spl12_243
| ~ spl12_248
| ~ spl12_270
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3223]) ).
fof(f3223,plain,
( $false
| spl12_21
| ~ spl12_240
| ~ spl12_243
| ~ spl12_248
| ~ spl12_270
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3222,f1538]) ).
fof(f1538,plain,
( e21 = op2(e22,e23)
| ~ spl12_248 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1536,plain,
( spl12_248
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_248])]) ).
fof(f3222,plain,
( e21 != op2(e22,e23)
| spl12_21
| ~ spl12_240
| ~ spl12_243
| ~ spl12_270
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3221,f1485]) ).
fof(f3221,plain,
( op2(e22,e23) != h2(e11)
| spl12_21
| ~ spl12_243
| ~ spl12_270
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3220,f1657]) ).
fof(f1657,plain,
( e11 = op1(e12,e13)
| ~ spl12_270 ),
inference(avatar_component_clause,[],[f1655]) ).
fof(f1655,plain,
( spl12_270
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_270])]) ).
fof(f3220,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| spl12_21
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3219,f1508]) ).
fof(f3219,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl12_21
| ~ spl12_288 ),
inference(forward_demodulation,[],[f466,f1805]) ).
fof(f466,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl12_21 ),
inference(avatar_component_clause,[],[f464]) ).
fof(f464,plain,
( spl12_21
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_21])]) ).
fof(f3193,plain,
( spl12_20
| ~ spl12_71
| ~ spl12_167
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| spl12_20
| ~ spl12_71
| ~ spl12_167
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3191,f1103]) ).
fof(f1103,plain,
( e21 = op2(e23,e22)
| ~ spl12_167 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1101,plain,
( spl12_167
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_167])]) ).
fof(f3191,plain,
( e21 != op2(e23,e22)
| spl12_20
| ~ spl12_71
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3190,f1485]) ).
fof(f3190,plain,
( op2(e23,e22) != h2(e11)
| spl12_20
| ~ spl12_71
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3189,f677]) ).
fof(f677,plain,
( e11 = op1(e13,e12)
| ~ spl12_71 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f675,plain,
( spl12_71
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_71])]) ).
fof(f3189,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| spl12_20
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3188,f1805]) ).
fof(f3188,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| spl12_20
| ~ spl12_243 ),
inference(forward_demodulation,[],[f462,f1508]) ).
fof(f462,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl12_20 ),
inference(avatar_component_clause,[],[f460]) ).
fof(f460,plain,
( spl12_20
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_20])]) ).
fof(f3154,plain,
( spl12_9
| ~ spl12_78
| ~ spl12_138
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3153]) ).
fof(f3153,plain,
( $false
| spl12_9
| ~ spl12_78
| ~ spl12_138
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3152,f973]) ).
fof(f973,plain,
( e22 = op2(e23,e21)
| ~ spl12_138 ),
inference(avatar_component_clause,[],[f971]) ).
fof(f971,plain,
( spl12_138
<=> e22 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_138])]) ).
fof(f3152,plain,
( e22 != op2(e23,e21)
| spl12_9
| ~ spl12_78
| ~ spl12_240
| ~ spl12_243
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3151,f1508]) ).
fof(f3151,plain,
( op2(e23,e21) != h2(e12)
| spl12_9
| ~ spl12_78
| ~ spl12_240
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3150,f707]) ).
fof(f707,plain,
( e12 = op1(e13,e11)
| ~ spl12_78 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl12_78
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_78])]) ).
fof(f3150,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| spl12_9
| ~ spl12_240
| ~ spl12_288 ),
inference(forward_demodulation,[],[f3149,f1805]) ).
fof(f3149,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| spl12_9
| ~ spl12_240 ),
inference(forward_demodulation,[],[f418,f1485]) ).
fof(f418,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl12_9 ),
inference(avatar_component_clause,[],[f416]) ).
fof(f416,plain,
( spl12_9
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f3126,plain,
( spl12_8
| ~ spl12_63
| ~ spl12_232
| ~ spl12_240
| ~ spl12_243 ),
inference(avatar_contradiction_clause,[],[f3125]) ).
fof(f3125,plain,
( $false
| spl12_8
| ~ spl12_63
| ~ spl12_232
| ~ spl12_240
| ~ spl12_243 ),
inference(subsumption_resolution,[],[f3124,f641]) ).
fof(f641,plain,
( e20 = op2(e21,e22)
| ~ spl12_63 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl12_63
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_63])]) ).
fof(f3124,plain,
( e20 != op2(e21,e22)
| spl12_8
| ~ spl12_232
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3123,f992]) ).
fof(f3123,plain,
( op2(e21,e22) != h2(e10)
| spl12_8
| ~ spl12_232
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3122,f1431]) ).
fof(f1431,plain,
( e10 = op1(e11,e12)
| ~ spl12_232 ),
inference(avatar_component_clause,[],[f1429]) ).
fof(f1429,plain,
( spl12_232
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_232])]) ).
fof(f3122,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| spl12_8
| ~ spl12_240
| ~ spl12_243 ),
inference(forward_demodulation,[],[f3121,f1485]) ).
fof(f3121,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| spl12_8
| ~ spl12_243 ),
inference(forward_demodulation,[],[f414,f1508]) ).
fof(f414,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl12_8 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f412,plain,
( spl12_8
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f3083,plain,
( spl12_2
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3072,f1614,f387]) ).
fof(f1614,plain,
( spl12_262
<=> e10 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_262])]) ).
fof(f3072,plain,
( e10 = op1(e10,e10)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f55,f1616]) ).
fof(f1616,plain,
( e10 = unit1
| ~ spl12_262 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f55,plain,
e10 = op1(e10,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e12 = unit1
| e13 = unit1
| e11 = unit1
| e10 = unit1 )
& e13 = op1(unit1,e13)
& e11 = op1(e11,unit1)
& e11 = op1(unit1,e11)
& e10 = op1(unit1,e10)
& e12 = op1(e12,unit1)
& e13 = op1(e13,unit1)
& e10 = op1(e10,unit1)
& e12 = op1(unit1,e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3082,plain,
( spl12_229
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3073,f1614,f1403]) ).
fof(f3073,plain,
( e13 = op1(e13,e10)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f56,f1616]) ).
fof(f56,plain,
e13 = op1(e13,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f3062,plain,
( spl12_11
| ~ spl12_110
| ~ spl12_164
| ~ spl12_243
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f3061]) ).
fof(f3061,plain,
( $false
| spl12_11
| ~ spl12_110
| ~ spl12_164
| ~ spl12_243
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f3060,f1805]) ).
fof(f3060,plain,
( e23 != h2(e13)
| spl12_11
| ~ spl12_110
| ~ spl12_164
| ~ spl12_243 ),
inference(backward_demodulation,[],[f3050,f848]) ).
fof(f848,plain,
( e13 = op1(e12,e12)
| ~ spl12_110 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f846,plain,
( spl12_110
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_110])]) ).
fof(f3050,plain,
( e23 != h2(op1(e12,e12))
| spl12_11
| ~ spl12_164
| ~ spl12_243 ),
inference(forward_demodulation,[],[f2003,f1089]) ).
fof(f1089,plain,
( e23 = op2(e22,e22)
| ~ spl12_164 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1087,plain,
( spl12_164
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_164])]) ).
fof(f2003,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| spl12_11
| ~ spl12_243 ),
inference(forward_demodulation,[],[f426,f1508]) ).
fof(f426,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl12_11 ),
inference(avatar_component_clause,[],[f424]) ).
fof(f424,plain,
( spl12_11
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f3025,plain,
( ~ spl12_102
| ~ spl12_265 ),
inference(avatar_contradiction_clause,[],[f3024]) ).
fof(f3024,plain,
( $false
| ~ spl12_102
| ~ spl12_265 ),
inference(subsumption_resolution,[],[f3023,f208]) ).
fof(f208,plain,
e12 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f9,axiom,
( e10 != e13
& e10 != e11
& e12 != e13
& e11 != e13
& e10 != e12
& e11 != e12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f3023,plain,
( e12 = e13
| ~ spl12_102
| ~ spl12_265 ),
inference(forward_demodulation,[],[f3022,f814]) ).
fof(f3022,plain,
( e13 = op1(e11,e13)
| ~ spl12_265 ),
inference(forward_demodulation,[],[f61,f1628]) ).
fof(f1628,plain,
( e11 = unit1
| ~ spl12_265 ),
inference(avatar_component_clause,[],[f1626]) ).
fof(f1626,plain,
( spl12_265
<=> e11 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_265])]) ).
fof(f61,plain,
e13 = op1(unit1,e13),
inference(cnf_transformation,[],[f2]) ).
fof(f2954,plain,
( ~ spl12_242
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f2953]) ).
fof(f2953,plain,
( $false
| ~ spl12_242
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f2849,f1496]) ).
fof(f1496,plain,
( e23 = op2(e22,e21)
| ~ spl12_242 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1494,plain,
( spl12_242
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_242])]) ).
fof(f2849,plain,
( e23 != op2(e22,e21)
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1839,f1805]) ).
fof(f1839,plain,
op2(e22,e21) != h2(e13),
inference(forward_demodulation,[],[f297,f84]) ).
fof(f297,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2942,plain,
( ~ spl12_142
| spl12_231
| ~ spl12_241 ),
inference(avatar_contradiction_clause,[],[f2941]) ).
fof(f2941,plain,
( $false
| ~ spl12_142
| spl12_231
| ~ spl12_241 ),
inference(subsumption_resolution,[],[f2940,f1424]) ).
fof(f1424,plain,
( e22 != e23
| spl12_231 ),
inference(avatar_component_clause,[],[f1422]) ).
fof(f1422,plain,
( spl12_231
<=> e22 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_231])]) ).
fof(f2940,plain,
( e22 = e23
| ~ spl12_142
| ~ spl12_241 ),
inference(forward_demodulation,[],[f1492,f996]) ).
fof(f1492,plain,
( e23 = op2(e22,e20)
| ~ spl12_241 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f1490,plain,
( spl12_241
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_241])]) ).
fof(f2919,plain,
( spl12_117
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f2834,f1176,f877]) ).
fof(f1176,plain,
( spl12_183
<=> e20 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_183])]) ).
fof(f2834,plain,
( e22 = op2(e20,e22)
| ~ spl12_183 ),
inference(backward_demodulation,[],[f202,f1178]) ).
fof(f1178,plain,
( e20 = unit2
| ~ spl12_183 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f202,plain,
e22 = op2(unit2,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e20 = op2(unit2,e20)
& e22 = op2(e22,unit2)
& e22 = op2(unit2,e22)
& e20 = op2(e20,unit2)
& ( e21 = unit2
| e23 = unit2
| e22 = unit2
| e20 = unit2 )
& e21 = op2(e21,unit2)
& e23 = op2(unit2,e23)
& e23 = op2(e23,unit2)
& e21 = op2(unit2,e21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f2904,plain,
( ~ spl12_115
| ~ spl12_250 ),
inference(avatar_contradiction_clause,[],[f2903]) ).
fof(f2903,plain,
( $false
| ~ spl12_115
| ~ spl12_250 ),
inference(subsumption_resolution,[],[f2902,f122]) ).
fof(f122,plain,
e20 != e22,
inference(cnf_transformation,[],[f10]) ).
fof(f2902,plain,
( e20 = e22
| ~ spl12_115
| ~ spl12_250 ),
inference(forward_demodulation,[],[f871,f1547]) ).
fof(f871,plain,
( op2(e20,e20) = e22
| ~ spl12_115 ),
inference(avatar_component_clause,[],[f869]) ).
fof(f869,plain,
( spl12_115
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_115])]) ).
fof(f2875,plain,
( spl12_34
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f2830,f1176,f519]) ).
fof(f2830,plain,
( e23 = op2(e23,e20)
| ~ spl12_183 ),
inference(backward_demodulation,[],[f197,f1178]) ).
fof(f197,plain,
e23 = op2(e23,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f2869,plain,
( ~ spl12_232
| ~ spl12_264 ),
inference(avatar_contradiction_clause,[],[f2868]) ).
fof(f2868,plain,
( $false
| ~ spl12_232
| ~ spl12_264 ),
inference(subsumption_resolution,[],[f2867,f209]) ).
fof(f209,plain,
e10 != e11,
inference(cnf_transformation,[],[f9]) ).
fof(f2867,plain,
( e10 = e11
| ~ spl12_232
| ~ spl12_264 ),
inference(forward_demodulation,[],[f2857,f1431]) ).
fof(f2857,plain,
( e11 = op1(e11,e12)
| ~ spl12_264 ),
inference(backward_demodulation,[],[f60,f1624]) ).
fof(f1624,plain,
( e12 = unit1
| ~ spl12_264 ),
inference(avatar_component_clause,[],[f1622]) ).
fof(f1622,plain,
( spl12_264
<=> e12 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_264])]) ).
fof(f60,plain,
e11 = op1(e11,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2853,plain,
( ~ spl12_143
| ~ spl12_142 ),
inference(avatar_split_clause,[],[f2852,f994,f998]) ).
fof(f998,plain,
( spl12_143
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_143])]) ).
fof(f2852,plain,
( e22 != op2(e22,e21)
| ~ spl12_142 ),
inference(forward_demodulation,[],[f292,f996]) ).
fof(f292,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2821,plain,
( spl12_285
| ~ spl12_263 ),
inference(avatar_split_clause,[],[f2820,f1618,f1773]) ).
fof(f1773,plain,
( spl12_285
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_285])]) ).
fof(f1618,plain,
( spl12_263
<=> e13 = unit1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_263])]) ).
fof(f2820,plain,
( e12 = op1(e12,e13)
| ~ spl12_263 ),
inference(forward_demodulation,[],[f57,f1620]) ).
fof(f1620,plain,
( e13 = unit1
| ~ spl12_263 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f57,plain,
e12 = op1(e12,unit1),
inference(cnf_transformation,[],[f2]) ).
fof(f2795,plain,
( ~ spl12_187
| ~ spl12_101 ),
inference(avatar_split_clause,[],[f2794,f807,f1193]) ).
fof(f1193,plain,
( spl12_187
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_187])]) ).
fof(f2794,plain,
( e10 != op1(e12,e13)
| ~ spl12_101 ),
inference(forward_demodulation,[],[f354,f809]) ).
fof(f354,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( op1(e10,e10) != op1(e13,e10)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e11,e11) != op1(e11,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e10) != op1(e11,e10)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e12,e10) != op1(e12,e12)
& op1(e11,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e13) != op1(e12,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e10,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e10,e13) != op1(e11,e13)
& op1(e13,e10) != op1(e13,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e11,e10) != op1(e11,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e12,e10) != op1(e12,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f2770,plain,
( ~ spl12_285
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f2769,f812,f1773]) ).
fof(f2769,plain,
( e12 != op1(e12,e13)
| ~ spl12_102 ),
inference(forward_demodulation,[],[f359,f814]) ).
fof(f359,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2740,plain,
( ~ spl12_203
| ~ spl12_117 ),
inference(avatar_split_clause,[],[f2739,f877,f1270]) ).
fof(f1270,plain,
( spl12_203
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_203])]) ).
fof(f2739,plain,
( e22 != op2(e23,e22)
| ~ spl12_117 ),
inference(forward_demodulation,[],[f317,f879]) ).
fof(f317,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f2681,plain,
( ~ spl12_63
| ~ spl12_186 ),
inference(avatar_contradiction_clause,[],[f2680]) ).
fof(f2680,plain,
( $false
| ~ spl12_63
| ~ spl12_186 ),
inference(subsumption_resolution,[],[f2679,f123]) ).
fof(f123,plain,
e20 != e21,
inference(cnf_transformation,[],[f10]) ).
fof(f2679,plain,
( e20 = e21
| ~ spl12_63
| ~ spl12_186 ),
inference(forward_demodulation,[],[f2674,f641]) ).
fof(f2674,plain,
( e21 = op2(e21,e22)
| ~ spl12_186 ),
inference(backward_demodulation,[],[f199,f1190]) ).
fof(f1190,plain,
( e22 = unit2
| ~ spl12_186 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl12_186
<=> e22 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_186])]) ).
fof(f199,plain,
e21 = op2(e21,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f2665,plain,
( ~ spl12_169
| ~ spl12_229 ),
inference(avatar_contradiction_clause,[],[f2664]) ).
fof(f2664,plain,
( $false
| ~ spl12_169
| ~ spl12_229 ),
inference(subsumption_resolution,[],[f2552,f1405]) ).
fof(f2552,plain,
( e13 != op1(e13,e10)
| ~ spl12_169 ),
inference(forward_demodulation,[],[f375,f1114]) ).
fof(f1114,plain,
( e13 = op1(e13,e12)
| ~ spl12_169 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f1112,plain,
( spl12_169
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_169])]) ).
fof(f375,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f2580,plain,
( ~ spl12_73
| ~ spl12_110
| spl12_176 ),
inference(avatar_contradiction_clause,[],[f2579]) ).
fof(f2579,plain,
( $false
| ~ spl12_73
| ~ spl12_110
| spl12_176 ),
inference(subsumption_resolution,[],[f2578,f1145]) ).
fof(f1145,plain,
( e11 != e13
| spl12_176 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1144,plain,
( spl12_176
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_176])]) ).
fof(f2578,plain,
( e11 = e13
| ~ spl12_73
| ~ spl12_110 ),
inference(forward_demodulation,[],[f848,f685]) ).
fof(f685,plain,
( e11 = op1(e12,e12)
| ~ spl12_73 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl12_73
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_73])]) ).
fof(f2544,plain,
( spl12_87
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f2011,f1614,f744]) ).
fof(f2011,plain,
( e12 = op1(e12,e10)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f57,f1616]) ).
fof(f2535,plain,
( ~ spl12_32
| spl12_292 ),
inference(avatar_contradiction_clause,[],[f2534]) ).
fof(f2534,plain,
( $false
| ~ spl12_32
| spl12_292 ),
inference(subsumption_resolution,[],[f2533,f1843]) ).
fof(f1843,plain,
( e22 != h4(e13)
| spl12_292 ),
inference(avatar_component_clause,[],[f1841]) ).
fof(f1841,plain,
( spl12_292
<=> e22 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_292])]) ).
fof(f2533,plain,
( e22 = h4(e13)
| ~ spl12_32 ),
inference(forward_demodulation,[],[f262,f512]) ).
fof(f512,plain,
( e22 = op2(e23,e23)
| ~ spl12_32 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f510,plain,
( spl12_32
<=> e22 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_32])]) ).
fof(f262,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
( op2(e23,e23) = h4(e13)
& e23 = h4(e11)
& h4(e10) = op2(e23,op2(e23,op2(e23,e23)))
& op2(e23,op2(e23,e23)) = h4(e12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f2525,plain,
( ~ spl12_34
| ~ spl12_76
| spl12_231 ),
inference(avatar_contradiction_clause,[],[f2524]) ).
fof(f2524,plain,
( $false
| ~ spl12_34
| ~ spl12_76
| spl12_231 ),
inference(subsumption_resolution,[],[f2523,f1424]) ).
fof(f2523,plain,
( e22 = e23
| ~ spl12_34
| ~ spl12_76 ),
inference(backward_demodulation,[],[f521,f698]) ).
fof(f698,plain,
( e22 = op2(e23,e20)
| ~ spl12_76 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl12_76
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_76])]) ).
fof(f2496,plain,
( ~ spl12_185
| spl12_223 ),
inference(avatar_contradiction_clause,[],[f2495]) ).
fof(f2495,plain,
( $false
| ~ spl12_185
| spl12_223 ),
inference(subsumption_resolution,[],[f2485,f1371]) ).
fof(f1371,plain,
( e21 != op2(e21,e21)
| spl12_223 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f1370,plain,
( spl12_223
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_223])]) ).
fof(f2485,plain,
( e21 = op2(e21,e21)
| ~ spl12_185 ),
inference(backward_demodulation,[],[f199,f1186]) ).
fof(f1186,plain,
( e21 = unit2
| ~ spl12_185 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl12_185
<=> e21 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_185])]) ).
fof(f2473,plain,
( spl12_176
| ~ spl12_228
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f2472]) ).
fof(f2472,plain,
( $false
| spl12_176
| ~ spl12_228
| ~ spl12_262 ),
inference(subsumption_resolution,[],[f2471,f1145]) ).
fof(f2471,plain,
( e11 = e13
| ~ spl12_228
| ~ spl12_262 ),
inference(forward_demodulation,[],[f2010,f1401]) ).
fof(f1401,plain,
( e11 = op1(e13,e10)
| ~ spl12_228 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1399,plain,
( spl12_228
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_228])]) ).
fof(f2010,plain,
( e13 = op1(e13,e10)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f56,f1616]) ).
fof(f2446,plain,
( ~ spl12_270
| ~ spl12_251 ),
inference(avatar_split_clause,[],[f2445,f1550,f1655]) ).
fof(f1550,plain,
( spl12_251
<=> e11 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_251])]) ).
fof(f2445,plain,
( e11 != op1(e12,e13)
| ~ spl12_251 ),
inference(forward_demodulation,[],[f362,f1552]) ).
fof(f1552,plain,
( e11 = op1(e13,e13)
| ~ spl12_251 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f362,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2435,plain,
( ~ spl12_87
| ~ spl12_79 ),
inference(avatar_split_clause,[],[f2434,f709,f744]) ).
fof(f709,plain,
( spl12_79
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_79])]) ).
fof(f2434,plain,
( e12 != op1(e12,e10)
| ~ spl12_79 ),
inference(forward_demodulation,[],[f334,f711]) ).
fof(f711,plain,
( e12 = op1(e12,e11)
| ~ spl12_79 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f334,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f2431,plain,
( spl12_232
| ~ spl12_102 ),
inference(avatar_split_clause,[],[f2430,f812,f1429]) ).
fof(f2430,plain,
( e10 = op1(e11,e12)
| ~ spl12_102 ),
inference(backward_demodulation,[],[f1569,f814]) ).
fof(f1569,plain,
e10 = op1(e11,op1(e11,e13)),
inference(forward_demodulation,[],[f333,f331]) ).
fof(f331,plain,
e13 = op1(e11,e11),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( e10 = op1(e11,op1(e11,op1(e11,e11)))
& e12 = op1(e11,op1(e11,e11))
& e13 = op1(e11,e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f333,plain,
e10 = op1(e11,op1(e11,op1(e11,e11))),
inference(cnf_transformation,[],[f14]) ).
fof(f2422,plain,
( ~ spl12_234
| ~ spl12_288 ),
inference(avatar_split_clause,[],[f2319,f1804,f1441]) ).
fof(f1441,plain,
( spl12_234
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_234])]) ).
fof(f2319,plain,
( e23 != op2(e20,e21)
| ~ spl12_288 ),
inference(forward_demodulation,[],[f1828,f1805]) ).
fof(f1828,plain,
op2(e20,e21) != h2(e13),
inference(backward_demodulation,[],[f329,f84]) ).
fof(f329,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2394,plain,
( ~ spl12_91
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f2393,f481,f762]) ).
fof(f762,plain,
( spl12_91
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_91])]) ).
fof(f2393,plain,
( e11 != op1(e12,e11)
| ~ spl12_25 ),
inference(backward_demodulation,[],[f361,f483]) ).
fof(f361,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f2392,plain,
( ~ spl12_102
| ~ spl12_80 ),
inference(avatar_split_clause,[],[f2390,f714,f812]) ).
fof(f714,plain,
( spl12_80
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_80])]) ).
fof(f2390,plain,
( e12 != op1(e11,e13)
| ~ spl12_80 ),
inference(backward_demodulation,[],[f345,f716]) ).
fof(f716,plain,
( e12 = op1(e13,e13)
| ~ spl12_80 ),
inference(avatar_component_clause,[],[f714]) ).
fof(f345,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2339,plain,
( spl12_244
| ~ spl12_182 ),
inference(avatar_split_clause,[],[f2338,f1171,f1512]) ).
fof(f1512,plain,
( spl12_244
<=> e23 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_244])]) ).
fof(f1171,plain,
( spl12_182
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_182])]) ).
fof(f2338,plain,
( e23 = h1(e13)
| ~ spl12_182 ),
inference(forward_demodulation,[],[f51,f1172]) ).
fof(f1172,plain,
( op2(e20,e20) = e23
| ~ spl12_182 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f51,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( e20 = h1(e11)
& op2(e20,op2(e20,e20)) = h1(e12)
& op2(e20,e20) = h1(e13)
& h1(e10) = op2(e20,op2(e20,op2(e20,e20))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f2311,plain,
( spl12_271
| ~ spl12_184 ),
inference(avatar_split_clause,[],[f2297,f1180,f1663]) ).
fof(f1180,plain,
( spl12_184
<=> e23 = unit2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_184])]) ).
fof(f2297,plain,
( e21 = op2(e21,e23)
| ~ spl12_184 ),
inference(backward_demodulation,[],[f199,f1182]) ).
fof(f1182,plain,
( e23 = unit2
| ~ spl12_184 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f2273,plain,
( ~ spl12_102
| ~ spl12_104 ),
inference(avatar_contradiction_clause,[],[f2272]) ).
fof(f2272,plain,
( $false
| ~ spl12_102
| ~ spl12_104 ),
inference(subsumption_resolution,[],[f2271,f206]) ).
fof(f206,plain,
e10 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f2271,plain,
( e10 = e12
| ~ spl12_102
| ~ spl12_104 ),
inference(forward_demodulation,[],[f814,f822]) ).
fof(f822,plain,
( e10 = op1(e11,e13)
| ~ spl12_104 ),
inference(avatar_component_clause,[],[f820]) ).
fof(f820,plain,
( spl12_104
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_104])]) ).
fof(f2260,plain,
( spl12_25
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f2259]) ).
fof(f2259,plain,
( $false
| spl12_25
| ~ spl12_262 ),
inference(subsumption_resolution,[],[f2013,f482]) ).
fof(f482,plain,
( e11 != op1(e10,e11)
| spl12_25 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f2013,plain,
( e11 = op1(e10,e11)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f59,f1616]) ).
fof(f59,plain,
e11 = op1(unit1,e11),
inference(cnf_transformation,[],[f2]) ).
fof(f2256,plain,
( spl12_30
| ~ spl12_288 ),
inference(avatar_contradiction_clause,[],[f2255]) ).
fof(f2255,plain,
( $false
| spl12_30
| ~ spl12_288 ),
inference(subsumption_resolution,[],[f2254,f503]) ).
fof(f503,plain,
( e22 != op2(e21,e23)
| spl12_30 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f2254,plain,
( e22 = op2(e21,e23)
| ~ spl12_288 ),
inference(backward_demodulation,[],[f1827,f1805]) ).
fof(f1827,plain,
e22 = op2(e21,h2(e13)),
inference(backward_demodulation,[],[f79,f84]) ).
fof(f79,plain,
e22 = op2(e21,op2(e21,e21)),
inference(cnf_transformation,[],[f15]) ).
fof(f2239,plain,
( ~ spl12_137
| ~ spl12_138 ),
inference(avatar_contradiction_clause,[],[f2238]) ).
fof(f2238,plain,
( $false
| ~ spl12_137
| ~ spl12_138 ),
inference(subsumption_resolution,[],[f2237,f122]) ).
fof(f2237,plain,
( e20 = e22
| ~ spl12_137
| ~ spl12_138 ),
inference(backward_demodulation,[],[f973,f969]) ).
fof(f969,plain,
( e20 = op2(e23,e21)
| ~ spl12_137 ),
inference(avatar_component_clause,[],[f967]) ).
fof(f967,plain,
( spl12_137
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_137])]) ).
fof(f2217,plain,
( ~ spl12_244
| ~ spl12_34 ),
inference(avatar_split_clause,[],[f2216,f519,f1512]) ).
fof(f2216,plain,
( e23 != h1(e13)
| ~ spl12_34 ),
inference(backward_demodulation,[],[f1759,f521]) ).
fof(f1759,plain,
op2(e23,e20) != h1(e13),
inference(backward_demodulation,[],[f313,f51]) ).
fof(f313,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f8]) ).
fof(f2194,plain,
( ~ spl12_172
| ~ spl12_246 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
fof(f2193,plain,
( $false
| ~ spl12_172
| ~ spl12_246 ),
inference(subsumption_resolution,[],[f2192,f1127]) ).
fof(f2192,plain,
( e21 != op2(e20,e21)
| ~ spl12_246 ),
inference(forward_demodulation,[],[f309,f1526]) ).
fof(f1526,plain,
( e21 = op2(e22,e21)
| ~ spl12_246 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl12_246
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_246])]) ).
fof(f309,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f8]) ).
fof(f2185,plain,
( ~ spl12_113
| ~ spl12_112 ),
inference(avatar_split_clause,[],[f2184,f856,f860]) ).
fof(f856,plain,
( spl12_112
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_112])]) ).
fof(f2184,plain,
( e20 != op2(e22,e21)
| ~ spl12_112 ),
inference(forward_demodulation,[],[f299,f858]) ).
fof(f858,plain,
( e20 = op2(e22,e23)
| ~ spl12_112 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f299,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2164,plain,
( spl12_175
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f2014,f1614,f1140]) ).
fof(f2014,plain,
( e11 = op1(e11,e10)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f60,f1616]) ).
fof(f2146,plain,
( spl12_250
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f2128,f1176,f1545]) ).
fof(f2128,plain,
( e20 = op2(e20,e20)
| ~ spl12_183 ),
inference(backward_demodulation,[],[f201,f1178]) ).
fof(f201,plain,
e20 = op2(e20,unit2),
inference(cnf_transformation,[],[f5]) ).
fof(f2135,plain,
( spl12_172
| ~ spl12_183 ),
inference(avatar_split_clause,[],[f2124,f1176,f1125]) ).
fof(f2124,plain,
( e21 = op2(e20,e21)
| ~ spl12_183 ),
inference(backward_demodulation,[],[f196,f1178]) ).
fof(f196,plain,
e21 = op2(unit2,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f2120,plain,
( ~ spl12_292
| ~ spl12_30 ),
inference(avatar_split_clause,[],[f2117,f502,f1841]) ).
fof(f2117,plain,
( e22 != h4(e13)
| ~ spl12_30 ),
inference(backward_demodulation,[],[f1698,f504]) ).
fof(f1698,plain,
op2(e21,e23) != h4(e13),
inference(forward_demodulation,[],[f323,f262]) ).
fof(f323,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2118,plain,
( ~ spl12_260
| ~ spl12_30
| ~ spl12_164 ),
inference(avatar_split_clause,[],[f2115,f1087,f502,f1603]) ).
fof(f1603,plain,
( spl12_260
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_260])]) ).
fof(f2115,plain,
( e22 != h3(e12)
| ~ spl12_30
| ~ spl12_164 ),
inference(backward_demodulation,[],[f1936,f504]) ).
fof(f1936,plain,
( op2(e21,e23) != h3(e12)
| ~ spl12_164 ),
inference(backward_demodulation,[],[f285,f1928]) ).
fof(f1928,plain,
( op2(e22,e23) = h3(e12)
| ~ spl12_164 ),
inference(backward_demodulation,[],[f193,f1089]) ).
fof(f193,plain,
op2(e22,op2(e22,e22)) = h3(e12),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( h3(e10) = op2(e22,op2(e22,op2(e22,e22)))
& op2(e22,e22) = h3(e13)
& op2(e22,op2(e22,e22)) = h3(e12)
& e22 = h3(e11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f285,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f8]) ).
fof(f2103,plain,
( ~ spl12_181
| ~ spl12_223 ),
inference(avatar_contradiction_clause,[],[f2102]) ).
fof(f2102,plain,
( $false
| ~ spl12_181
| ~ spl12_223 ),
inference(subsumption_resolution,[],[f2101,f119]) ).
fof(f119,plain,
e21 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f2101,plain,
( e21 = e23
| ~ spl12_181
| ~ spl12_223 ),
inference(backward_demodulation,[],[f1168,f1372]) ).
fof(f1372,plain,
( e21 = op2(e21,e21)
| ~ spl12_223 ),
inference(avatar_component_clause,[],[f1370]) ).
fof(f2088,plain,
( spl12_260
| ~ spl12_29
| ~ spl12_164 ),
inference(avatar_split_clause,[],[f2087,f1087,f498,f1603]) ).
fof(f498,plain,
( spl12_29
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_29])]) ).
fof(f2087,plain,
( e22 = h3(e12)
| ~ spl12_29
| ~ spl12_164 ),
inference(backward_demodulation,[],[f1928,f500]) ).
fof(f500,plain,
( e22 = op2(e22,e23)
| ~ spl12_29 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f2079,plain,
( ~ spl12_220
| ~ spl12_90 ),
inference(avatar_split_clause,[],[f2078,f757,f1355]) ).
fof(f757,plain,
( spl12_90
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_90])]) ).
fof(f2078,plain,
( e13 != op1(e10,e13)
| ~ spl12_90 ),
inference(backward_demodulation,[],[f370,f759]) ).
fof(f759,plain,
( e13 = op1(e10,e12)
| ~ spl12_90 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f370,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f2058,plain,
( spl12_288
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f2057,f1167,f1804]) ).
fof(f2057,plain,
( e23 = h2(e13)
| ~ spl12_181 ),
inference(backward_demodulation,[],[f84,f1168]) ).
fof(f2047,plain,
( spl12_231
| ~ spl12_117
| ~ spl12_165 ),
inference(avatar_split_clause,[],[f2046,f1091,f877,f1422]) ).
fof(f1091,plain,
( spl12_165
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_165])]) ).
fof(f2046,plain,
( e22 = e23
| ~ spl12_117
| ~ spl12_165 ),
inference(forward_demodulation,[],[f1093,f879]) ).
fof(f1093,plain,
( e23 = op2(e20,e22)
| ~ spl12_165 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f2038,plain,
( ~ spl12_88
| ~ spl12_82 ),
inference(avatar_split_clause,[],[f2034,f722,f749]) ).
fof(f722,plain,
( spl12_82
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_82])]) ).
fof(f2034,plain,
( e12 != op1(e10,e12)
| ~ spl12_82 ),
inference(backward_demodulation,[],[f374,f724]) ).
fof(f724,plain,
( e12 = op1(e13,e12)
| ~ spl12_82 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f374,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f2026,plain,
( spl12_88
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f2008,f1614,f749]) ).
fof(f2008,plain,
( e12 = op1(e10,e12)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f54,f1616]) ).
fof(f54,plain,
e12 = op1(unit1,e12),
inference(cnf_transformation,[],[f2]) ).
fof(f2025,plain,
( ~ spl12_81
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f2024]) ).
fof(f2024,plain,
( $false
| ~ spl12_81
| ~ spl12_262 ),
inference(subsumption_resolution,[],[f2023,f208]) ).
fof(f2023,plain,
( e12 = e13
| ~ spl12_81
| ~ spl12_262 ),
inference(forward_demodulation,[],[f2010,f720]) ).
fof(f720,plain,
( e12 = op1(e13,e10)
| ~ spl12_81 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl12_81
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_81])]) ).
fof(f2022,plain,
( spl12_220
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f2015,f1614,f1355]) ).
fof(f2015,plain,
( e13 = op1(e10,e13)
| ~ spl12_262 ),
inference(backward_demodulation,[],[f61,f1616]) ).
fof(f2021,plain,
( ~ spl12_85
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f2020]) ).
fof(f2020,plain,
( $false
| ~ spl12_85
| ~ spl12_262 ),
inference(subsumption_resolution,[],[f2019,f205]) ).
fof(f205,plain,
e11 != e12,
inference(cnf_transformation,[],[f9]) ).
fof(f2019,plain,
( e11 = e12
| ~ spl12_85
| ~ spl12_262 ),
inference(forward_demodulation,[],[f2011,f738]) ).
fof(f738,plain,
( e11 = op1(e12,e10)
| ~ spl12_85 ),
inference(avatar_component_clause,[],[f736]) ).
fof(f736,plain,
( spl12_85
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_85])]) ).
fof(f1973,plain,
( ~ spl12_92
| ~ spl12_25 ),
inference(avatar_split_clause,[],[f1966,f481,f766]) ).
fof(f766,plain,
( spl12_92
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_92])]) ).
fof(f1966,plain,
( e11 != op1(e13,e11)
| ~ spl12_25 ),
inference(backward_demodulation,[],[f335,f483]) ).
fof(f335,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f1963,plain,
( ~ spl12_204
| ~ spl12_63 ),
inference(avatar_split_clause,[],[f1960,f639,f1275]) ).
fof(f1275,plain,
( spl12_204
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_204])]) ).
fof(f1960,plain,
( e20 != op2(e21,e20)
| ~ spl12_63 ),
inference(backward_demodulation,[],[f312,f641]) ).
fof(f312,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f1962,plain,
( ~ spl12_64
| ~ spl12_63 ),
inference(avatar_split_clause,[],[f1958,f639,f643]) ).
fof(f643,plain,
( spl12_64
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_64])]) ).
fof(f1958,plain,
( e20 != op2(e23,e22)
| ~ spl12_63 ),
inference(backward_demodulation,[],[f302,f641]) ).
fof(f302,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f1934,plain,
( ~ spl12_35
| ~ spl12_164 ),
inference(avatar_split_clause,[],[f1929,f1087,f523]) ).
fof(f523,plain,
( spl12_35
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_35])]) ).
fof(f1929,plain,
( e23 != op2(e23,e22)
| ~ spl12_164 ),
inference(backward_demodulation,[],[f287,f1089]) ).
fof(f287,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f8]) ).
fof(f1891,plain,
( ~ spl12_188
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f1885,f387,f1197]) ).
fof(f1197,plain,
( spl12_188
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_188])]) ).
fof(f1885,plain,
( e10 != op1(e10,e13)
| ~ spl12_2 ),
inference(backward_demodulation,[],[f347,f388]) ).
fof(f347,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f7]) ).
fof(f1822,plain,
~ spl12_245,
inference(avatar_split_clause,[],[f1821,f1519]) ).
fof(f1519,plain,
( spl12_245
<=> e13 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_245])]) ).
fof(f1821,plain,
e13 != op1(e11,e12),
inference(forward_demodulation,[],[f377,f331]) ).
fof(f377,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f7]) ).
fof(f1820,plain,
spl12_243,
inference(avatar_split_clause,[],[f1819,f1507]) ).
fof(f1819,plain,
e22 = h2(e12),
inference(forward_demodulation,[],[f85,f79]) ).
fof(f85,plain,
op2(e21,op2(e21,e21)) = h2(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f1807,plain,
( ~ spl12_288
| ~ spl12_18 ),
inference(avatar_split_clause,[],[f175,f452,f1804]) ).
fof(f452,plain,
( spl12_18
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_18])]) ).
fof(f175,plain,
( ~ sP0
| e23 != h2(e13) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1697,plain,
~ spl12_231,
inference(avatar_split_clause,[],[f120,f1422]) ).
fof(f120,plain,
e22 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f1696,plain,
spl12_240,
inference(avatar_split_clause,[],[f82,f1484]) ).
fof(f82,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f1693,plain,
( spl12_138
| spl12_76
| spl12_32
| spl12_203 ),
inference(avatar_split_clause,[],[f228,f1270,f510,f696,f971]) ).
fof(f228,plain,
( e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( ( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e22)
| e22 = op2(e21,e20)
| e22 = op2(e21,e21) )
& ( e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21)
| e20 = op2(e20,e21) )
& ( e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21) )
& ( op2(e20,e20) = e22
| e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23) )
& ( e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) )
& ( op2(e20,e20) = e22
| e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20) )
& ( e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23)
| e23 = op2(e21,e20) )
& ( e23 = op2(e23,e20)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22) )
& ( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21) )
& ( e23 = op2(e22,e23)
| e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e21) )
& ( e23 = op2(e23,e20)
| op2(e20,e20) = e23
| e23 = op2(e22,e20)
| e23 = op2(e21,e20) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22) )
& ( e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e23,e23)
| e21 = op2(e20,e23) )
& ( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e20,e23)
| op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22) )
& ( e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e23)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21) )
& ( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| e21 = op2(e20,e23)
| op2(e20,e20) = e21 )
& ( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) )
& ( e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e23) )
& ( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) )
& ( e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e22)
| e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22) )
& ( e20 = op2(e22,e23)
| e20 = op2(e22,e22)
| e20 = op2(e22,e21)
| e20 = op2(e22,e20) )
& ( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e20,e20)
| e20 = op2(e21,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f1686,plain,
( spl12_29
| spl12_248
| spl12_112
| spl12_201 ),
inference(avatar_split_clause,[],[f250,f1261,f856,f1536,f498]) ).
fof(f250,plain,
( e23 = op2(e22,e23)
| e20 = op2(e22,e23)
| e21 = op2(e22,e23)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e20 = op2(e22,e20)
| e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20) )
& ( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) )
& ( e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e20 = op2(e21,e22) )
& ( e21 = op2(e23,e21)
| e20 = op2(e23,e21)
| e23 = op2(e23,e21)
| e22 = op2(e23,e21) )
& ( e22 = op2(e21,e21)
| e23 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21) )
& ( e22 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e21 = op2(e23,e22)
| e22 = op2(e23,e22)
| e20 = op2(e23,e22)
| e23 = op2(e23,e22) )
& ( e20 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e21 = op2(e22,e23) )
& ( e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e20,e23)
| e22 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e22 = op2(e21,e23)
| e21 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23) )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e23 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22) )
& ( e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20) )
& ( op2(e20,e20) = e21
| e20 = op2(e20,e20)
| op2(e20,e20) = e23
| op2(e20,e20) = e22 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f1667,plain,
spl12_181,
inference(avatar_split_clause,[],[f81,f1167]) ).
fof(f81,plain,
e23 = op2(e21,e21),
inference(cnf_transformation,[],[f15]) ).
fof(f1661,plain,
( spl12_228
| spl12_92
| spl12_71
| spl12_251 ),
inference(avatar_split_clause,[],[f92,f1550,f675,f766,f1399]) ).
fof(f92,plain,
( e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e11 = op1(e11,e13)
| e11 = op1(e13,e13)
| e11 = op1(e12,e13)
| e11 = op1(e10,e13) )
& ( e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) )
& ( e10 = op1(e11,e10)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13) )
& ( e12 = op1(e11,e13)
| e12 = op1(e11,e10)
| e12 = op1(e11,e12)
| e12 = op1(e11,e11) )
& ( e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| op1(e10,e10) = e13
| e13 = op1(e13,e10) )
& ( e10 = op1(e12,e10)
| e10 = op1(e12,e13)
| e10 = op1(e12,e12)
| e10 = op1(e12,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10) )
& ( e10 = op1(e12,e11)
| e10 = op1(e11,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e11 = op1(e11,e13)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e10) )
& ( e10 = op1(e10,e12)
| e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e13) )
& ( e12 = op1(e10,e11)
| e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e13,e11) )
& ( e10 = op1(e13,e10)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11) )
& ( op1(e10,e10) = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11) )
& ( e12 = op1(e10,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13)
| e12 = op1(e11,e13) )
& ( e13 = op1(e13,e11)
| e13 = op1(e13,e10)
| e13 = op1(e13,e13)
| e13 = op1(e13,e12) )
& ( e11 = op1(e10,e13)
| op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12) )
& ( e13 = op1(e11,e13)
| e13 = op1(e13,e13)
| e13 = op1(e10,e13)
| e13 = op1(e12,e13) )
& ( e10 = op1(e13,e10)
| e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10) )
& ( e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12) )
& ( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) )
& ( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10) )
& ( e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e10,e12)
| e10 = op1(e13,e12) )
& ( e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11
| e11 = op1(e13,e10) )
& ( e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11) )
& ( e11 = op1(e13,e10)
| e11 = op1(e13,e13)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11) )
& ( e12 = op1(e12,e10)
| op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e13,e10) )
& ( e13 = op1(e10,e12)
| e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) )
& ( e12 = op1(e10,e12)
| op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e13) )
& ( e11 = op1(e10,e12)
| e11 = op1(e12,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12) )
& ( e13 = op1(e13,e11)
| e13 = op1(e12,e11)
| e13 = op1(e11,e11)
| e13 = op1(e10,e11) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f1660,plain,
( spl12_165
| spl12_182
| spl12_202
| spl12_234 ),
inference(avatar_split_clause,[],[f223,f1441,f1265,f1171,f1091]) ).
fof(f223,plain,
( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| op2(e20,e20) = e23
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1658,plain,
( spl12_270
| spl12_91
| spl12_73
| spl12_85 ),
inference(avatar_split_clause,[],[f110,f736,f683,f762,f1655]) ).
fof(f110,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1629,plain,
( spl12_262
| spl12_263
| spl12_264
| spl12_265 ),
inference(avatar_split_clause,[],[f62,f1626,f1622,f1618,f1614]) ).
fof(f62,plain,
( e11 = unit1
| e12 = unit1
| e13 = unit1
| e10 = unit1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f1588,plain,
~ spl12_256,
inference(avatar_split_clause,[],[f118,f1579]) ).
fof(f118,plain,
e20 != e23,
inference(cnf_transformation,[],[f10]) ).
fof(f1558,plain,
( spl12_252
| spl12_236
| spl12_180
| spl12_204 ),
inference(avatar_split_clause,[],[f252,f1275,f1162,f1450,f1555]) ).
fof(f252,plain,
( e20 = op2(e21,e20)
| e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1527,plain,
( spl12_246
| spl12_242
| spl12_143
| spl12_113 ),
inference(avatar_split_clause,[],[f249,f860,f998,f1494,f1524]) ).
fof(f249,plain,
( e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1522,plain,
( spl12_245
| spl12_90
| spl12_110
| spl12_169 ),
inference(avatar_split_clause,[],[f90,f1112,f846,f757,f1519]) ).
fof(f90,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e10,e12)
| e13 = op1(e11,e12) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1510,plain,
( ~ spl12_214
| ~ spl12_20
| ~ spl12_211
| ~ spl12_213
| ~ spl12_207
| ~ spl12_11
| ~ spl12_209
| ~ spl12_23
| ~ spl12_212
| ~ spl12_9
| ~ spl12_208
| ~ spl12_21
| ~ spl12_206
| ~ spl12_24
| ~ spl12_15
| spl12_6
| ~ spl12_243
| ~ spl12_8
| spl12_5
| spl12_18 ),
inference(avatar_split_clause,[],[f1505,f452,f400,f412,f1507,f404,f440,f476,f1292,f464,f1300,f416,f1316,f472,f1304,f424,f1296,f1320,f1312,f460,f1324]) ).
fof(f404,plain,
( spl12_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f400,plain,
( spl12_5
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f1505,plain,
( sP0
| sP2
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| e22 != h2(e12)
| sP1
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),e20)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(e13) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[],[f1504,f992]) ).
fof(f1504,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| sP2
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| sP1
| e22 != h2(e12)
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP0
| h2(op1(e11,e10)) != op2(h2(e11),e20)
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),e20) ),
inference(forward_demodulation,[],[f1503,f992]) ).
fof(f1503,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP1
| h2(op1(e10,e12)) != op2(e20,h2(e12))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(e13) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| e22 != h2(e12)
| sP0
| sP2
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11)) ),
inference(forward_demodulation,[],[f1502,f992]) ).
fof(f1502,plain,
( sP0
| sP1
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e11)) != op2(e20,h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(e13) != op2(h2(e11),h2(e11))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| e22 != h2(e12)
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| sP2
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(forward_demodulation,[],[f1501,f992]) ).
fof(f1501,plain,
( h2(e13) != op2(h2(e11),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| sP1
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| e22 != h2(e12)
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e10,e13)) != op2(e20,h2(e13))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP0
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP2
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13)) ),
inference(forward_demodulation,[],[f1500,f992]) ).
fof(f1500,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP0
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(e13) != op2(h2(e11),h2(e11))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| e22 != h2(e12)
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| sP1
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| op2(e20,e20) != h2(op1(e10,e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP2 ),
inference(forward_demodulation,[],[f1499,f992]) ).
fof(f1499,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| e22 != h2(e12)
| sP1
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP0
| sP2
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(e13) != op2(h2(e11),h2(e11)) ),
inference(forward_demodulation,[],[f1498,f331]) ).
fof(f1498,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),e20)
| sP0
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP2
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| sP1
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| e22 != h2(e12)
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12)) ),
inference(forward_demodulation,[],[f177,f992]) ).
fof(f177,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| sP1
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| sP0
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| e22 != h2(e12)
| sP2
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| 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(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e10) )
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| sP11
| sP10
| sP9 )
& ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| sP8
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP7
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| sP6 )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| ( e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e11) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| sP5
| sP4
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| sP3 )
& ( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| sP2
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| sP1
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP0
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ) ),
inference(definition_folding,[],[f22,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25]) ).
fof(f26,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f27,plain,
( ( e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e12) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f28,plain,
( ( e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f29,plain,
( ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f30,plain,
( ( e22 != h1(e12)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f31,plain,
( ( e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e10) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f32,plain,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f33,plain,
( ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f34,plain,
( ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e13) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f35,plain,
( ( e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e11) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f36,plain,
( ( e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| 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(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13)
& e23 != h3(e10) )
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| ( e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e12)
& e22 != h3(e11) )
| ( e21 != h3(e10)
& e21 != h3(e12)
& e21 != h3(e13)
& e21 != h3(e11) )
| ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e10)
& e20 != h3(e13) ) )
& ( h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e12) )
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| ( e20 != h4(e13)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e10) ) )
& ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| ( e21 != h1(e12)
& e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e11) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| ( e22 != h1(e12)
& e22 != h1(e13)
& e22 != h1(e11)
& e22 != h1(e10) )
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| ( e23 != h1(e10)
& e23 != h1(e12)
& e23 != h1(e11)
& e23 != h1(e13) ) )
& ( ( e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11) )
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| ( e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e12) )
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e21 = h1(e10)
| e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) )
| ( h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e22 = h2(e10)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12)
| e21 = h2(e13) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11) ) )
| ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e11)
| e21 = h3(e12) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e21 = h1(e10)
| e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11) )
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& ( e20 = h1(e10)
| e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13) )
& ( e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e12)
| e23 = h1(e13) )
& ( e22 = h1(e13)
| e22 = h1(e12)
| e22 = h1(e11)
| e22 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) )
| ( h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& ( e22 = h2(e10)
| e22 = h2(e11)
| e22 = h2(e12)
| e22 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e23 = h2(e13)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e12) )
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e20 = h2(e13)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e11) )
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& ( e21 = h2(e10)
| e21 = h2(e11)
| e21 = h2(e12)
| e21 = h2(e13) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) )
| ( h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e11)
| e22 = h4(e13)
| e22 = h4(e10) )
& ( e20 = h4(e13)
| e20 = h4(e11)
| e20 = h4(e12)
| e20 = h4(e10) )
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& ( e23 = h4(e10)
| e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11) ) )
| ( h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e13)
| e20 = h3(e12) )
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( e22 = h3(e12)
| e22 = h3(e10)
| e22 = h3(e13)
| e22 = h3(e11) )
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& ( e21 = h3(e13)
| e21 = h3(e10)
| e21 = h3(e11)
| e21 = h3(e12) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f1497,plain,
( spl12_164
| spl12_241
| spl12_242
| spl12_201 ),
inference(avatar_split_clause,[],[f237,f1261,f1494,f1490,f1087]) ).
fof(f237,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20)
| e23 = op2(e22,e22) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1487,plain,
( ~ spl12_5
| ~ spl12_240 ),
inference(avatar_split_clause,[],[f167,f1484,f400]) ).
fof(f167,plain,
( e21 != h2(e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13)
& e21 != h2(e12) )
| ~ sP2 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1477,plain,
( spl12_101
| spl12_79
| spl12_91
| spl12_109 ),
inference(avatar_split_clause,[],[f276,f842,f762,f709,f807]) ).
fof(f842,plain,
( spl12_109
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_109])]) ).
fof(f276,plain,
( e13 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( e12 = op1(e13,e13)
| e11 = op1(e13,e13)
| e13 = op1(e13,e13)
| e10 = op1(e13,e13) )
& ( e11 = op1(e10,e13)
| e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e10 = op1(e10,e13) )
& ( e13 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e11 = op1(e11,e11)
| e10 = op1(e11,e11)
| e13 = op1(e11,e11)
| e12 = op1(e11,e11) )
& ( e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e11 = op1(e13,e10)
| e12 = op1(e13,e10) )
& ( e11 = op1(e12,e11)
| e10 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e11,e10)
| e11 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10) )
& ( e10 = op1(e10,e12)
| e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12) )
& ( e11 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( op1(e10,e10) = e13
| e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12 )
& ( e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e10 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e13 = op1(e12,e10)
| e10 = op1(e12,e10)
| e11 = op1(e12,e10)
| e12 = op1(e12,e10) )
& ( e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1476,plain,
( spl12_180
| spl12_76
| spl12_115
| spl12_142 ),
inference(avatar_split_clause,[],[f234,f994,f869,f696,f1162]) ).
fof(f234,plain,
( e22 = op2(e22,e20)
| op2(e20,e20) = e22
| e22 = op2(e23,e20)
| e22 = op2(e21,e20) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1470,plain,
spl12_63,
inference(avatar_split_clause,[],[f1469,f639]) ).
fof(f1469,plain,
e20 = op2(e21,e22),
inference(backward_demodulation,[],[f80,f79]) ).
fof(f1368,plain,
~ spl12_176,
inference(avatar_split_clause,[],[f207,f1144]) ).
fof(f207,plain,
e11 != e13,
inference(cnf_transformation,[],[f9]) ).
fof(f1273,plain,
( spl12_203
| spl12_167
| spl12_64
| spl12_35 ),
inference(avatar_split_clause,[],[f251,f523,f643,f1101,f1270]) ).
fof(f251,plain,
( e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1200,plain,
( spl12_4
| spl12_187
| spl12_104
| spl12_188 ),
inference(avatar_split_clause,[],[f113,f1197,f820,f1193,f395]) ).
fof(f113,plain,
( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1191,plain,
( spl12_183
| spl12_184
| spl12_185
| spl12_186 ),
inference(avatar_split_clause,[],[f200,f1188,f1184,f1180,f1176]) ).
fof(f200,plain,
( e22 = unit2
| e21 = unit2
| e23 = unit2
| e20 = unit2 ),
inference(cnf_transformation,[],[f5]) ).
fof(f1137,plain,
( spl12_98
| spl12_137
| spl12_75
| spl12_64 ),
inference(avatar_split_clause,[],[f221,f643,f692,f967,f794]) ).
fof(f221,plain,
( e20 = op2(e23,e22)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1007,plain,
~ spl12_6,
inference(avatar_split_clause,[],[f1006,f404]) ).
fof(f1006,plain,
~ sP1,
inference(subsumption_resolution,[],[f169,f992]) ).
fof(f169,plain,
( ~ sP1
| e20 != h2(e10) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e20 != h2(e13)
& e20 != h2(e12)
& e20 != h2(e10)
& e20 != h2(e11) )
| ~ sP1 ),
inference(nnf_transformation,[],[f26]) ).
fof(f891,plain,
spl12_102,
inference(avatar_split_clause,[],[f888,f812]) ).
fof(f888,plain,
e12 = op1(e11,e13),
inference(backward_demodulation,[],[f332,f331]) ).
fof(f332,plain,
e12 = op1(e11,op1(e11,e11)),
inference(cnf_transformation,[],[f14]) ).
fof(f890,plain,
~ spl12_109,
inference(avatar_split_clause,[],[f887,f842]) ).
fof(f887,plain,
e13 != op1(e12,e11),
inference(backward_demodulation,[],[f364,f331]) ).
fof(f364,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f7]) ).
fof(f725,plain,
( spl12_78
| spl12_80
| spl12_81
| spl12_82 ),
inference(avatar_split_clause,[],[f96,f722,f718,f714,f705]) ).
fof(f96,plain,
( e12 = op1(e13,e12)
| e12 = op1(e13,e10)
| e12 = op1(e13,e13)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 14:47:47 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (21478)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (21497)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.21/0.52 % (21476)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.52 % (21477)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (21485)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (21489)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.21/0.53 % (21488)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.53 % (21496)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.37/0.54 % (21500)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.37/0.54 % (21493)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.37/0.54 % (21479)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.37/0.54 % (21484)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.54 % (21503)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.37/0.54 % (21474)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.37/0.55 % (21475)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.37/0.55 % (21481)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.37/0.55 % (21498)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.37/0.55 % (21490)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.37/0.55 % (21483)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.37/0.55 % (21483)Instruction limit reached!
% 1.37/0.55 % (21483)------------------------------
% 1.37/0.55 % (21483)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.37/0.55 % (21483)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.37/0.55 % (21483)Termination reason: Unknown
% 1.37/0.55 % (21483)Termination phase: Preprocessing 2
% 1.37/0.55
% 1.37/0.55 % (21483)Memory used [KB]: 1023
% 1.37/0.55 % (21483)Time elapsed: 0.002 s
% 1.37/0.55 % (21483)Instructions burned: 3 (million)
% 1.37/0.55 % (21483)------------------------------
% 1.37/0.55 % (21483)------------------------------
% 1.37/0.55 % (21482)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.37/0.55 % (21504)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.37/0.55 % (21492)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.37/0.55 % (21494)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.56 % (21495)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.53/0.56 % (21486)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.53/0.56 % (21487)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.53/0.56 % (21499)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.53/0.56 % (21491)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.53/0.56 % (21502)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.53/0.57 % (21476)Instruction limit reached!
% 1.53/0.57 % (21476)------------------------------
% 1.53/0.57 % (21476)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (21482)Instruction limit reached!
% 1.53/0.57 % (21482)------------------------------
% 1.53/0.57 % (21482)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.57 % (21482)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.57 % (21482)Termination reason: Unknown
% 1.53/0.57 % (21482)Termination phase: Property scanning
% 1.53/0.57
% 1.53/0.57 % (21482)Memory used [KB]: 1151
% 1.53/0.57 % (21482)Time elapsed: 0.005 s
% 1.53/0.57 % (21482)Instructions burned: 10 (million)
% 1.53/0.57 % (21482)------------------------------
% 1.53/0.57 % (21482)------------------------------
% 1.53/0.57 % (21501)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.53/0.58 % (21478)Instruction limit reached!
% 1.53/0.58 % (21478)------------------------------
% 1.53/0.58 % (21478)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.58 % (21478)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.58 % (21478)Termination reason: Unknown
% 1.53/0.58 % (21478)Termination phase: Saturation
% 1.53/0.58
% 1.53/0.58 % (21478)Memory used [KB]: 6652
% 1.53/0.58 % (21478)Time elapsed: 0.025 s
% 1.53/0.58 % (21478)Instructions burned: 52 (million)
% 1.53/0.58 % (21478)------------------------------
% 1.53/0.58 % (21478)------------------------------
% 1.53/0.59 % (21485)Instruction limit reached!
% 1.53/0.59 % (21485)------------------------------
% 1.53/0.59 % (21485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (21485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (21485)Termination reason: Unknown
% 1.53/0.59 % (21485)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (21485)Memory used [KB]: 6908
% 1.53/0.59 % (21485)Time elapsed: 0.025 s
% 1.53/0.59 % (21485)Instructions burned: 50 (million)
% 1.53/0.59 % (21485)------------------------------
% 1.53/0.59 % (21485)------------------------------
% 1.53/0.59 % (21477)Instruction limit reached!
% 1.53/0.59 % (21477)------------------------------
% 1.53/0.59 % (21477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.59 % (21477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (21477)Termination reason: Unknown
% 1.53/0.59 % (21477)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (21477)Memory used [KB]: 6396
% 1.53/0.59 % (21477)Time elapsed: 0.020 s
% 1.53/0.59 % (21477)Instructions burned: 51 (million)
% 1.53/0.59 % (21477)------------------------------
% 1.53/0.59 % (21477)------------------------------
% 1.53/0.59 % (21476)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.59 % (21476)Termination reason: Unknown
% 1.53/0.59 % (21476)Termination phase: Saturation
% 1.53/0.59
% 1.53/0.59 % (21476)Memory used [KB]: 1279
% 1.53/0.59 % (21476)Time elapsed: 0.018 s
% 1.53/0.59 % (21476)Instructions burned: 37 (million)
% 1.53/0.59 % (21476)------------------------------
% 1.53/0.59 % (21476)------------------------------
% 1.53/0.61 % (21479)Instruction limit reached!
% 1.53/0.61 % (21479)------------------------------
% 1.53/0.61 % (21479)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.61 % (21479)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.61 % (21479)Termination reason: Unknown
% 1.53/0.61 % (21479)Termination phase: Saturation
% 1.53/0.61
% 1.53/0.61 % (21479)Memory used [KB]: 6652
% 1.53/0.61 % (21479)Time elapsed: 0.199 s
% 1.53/0.61 % (21479)Instructions burned: 48 (million)
% 1.53/0.61 % (21479)------------------------------
% 1.53/0.61 % (21479)------------------------------
% 1.53/0.61 % (21481)Instruction limit reached!
% 1.53/0.61 % (21481)------------------------------
% 1.53/0.61 % (21481)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (21484)Instruction limit reached!
% 1.53/0.62 % (21484)------------------------------
% 1.53/0.62 % (21484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (21481)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (21481)Termination reason: Unknown
% 1.53/0.62 % (21481)Termination phase: Finite model building preprocessing
% 1.53/0.62
% 1.53/0.62 % (21481)Memory used [KB]: 2558
% 1.53/0.62 % (21481)Time elapsed: 0.023 s
% 1.53/0.62 % (21481)Instructions burned: 53 (million)
% 1.53/0.62 % (21481)------------------------------
% 1.53/0.62 % (21481)------------------------------
% 1.53/0.62 % (21489)Instruction limit reached!
% 1.53/0.62 % (21489)------------------------------
% 1.53/0.62 % (21489)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.53/0.62 % (21489)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.53/0.62 % (21489)Termination reason: Unknown
% 1.53/0.62 % (21489)Termination phase: Saturation
% 1.53/0.62
% 1.53/0.62 % (21489)Memory used [KB]: 6780
% 1.53/0.62 % (21489)Time elapsed: 0.033 s
% 1.53/0.62 % (21489)Instructions burned: 70 (million)
% 1.53/0.62 % (21489)------------------------------
% 1.53/0.62 % (21489)------------------------------
% 2.04/0.63 % (21492)Instruction limit reached!
% 2.04/0.63 % (21492)------------------------------
% 2.04/0.63 % (21492)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (21492)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (21492)Termination reason: Unknown
% 2.04/0.63 % (21492)Termination phase: Finite model building preprocessing
% 2.04/0.63
% 2.04/0.63 % (21492)Memory used [KB]: 2558
% 2.04/0.63 % (21492)Time elapsed: 0.028 s
% 2.04/0.63 % (21492)Instructions burned: 60 (million)
% 2.04/0.63 % (21492)------------------------------
% 2.04/0.63 % (21492)------------------------------
% 2.04/0.63 % (21484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (21484)Termination reason: Unknown
% 2.04/0.63 % (21484)Termination phase: Saturation
% 2.04/0.63
% 2.04/0.63 % (21484)Memory used [KB]: 1279
% 2.04/0.63 % (21484)Time elapsed: 0.029 s
% 2.04/0.63 % (21484)Instructions burned: 53 (million)
% 2.04/0.63 % (21484)------------------------------
% 2.04/0.63 % (21484)------------------------------
% 2.04/0.63 % (21475)Instruction limit reached!
% 2.04/0.63 % (21475)------------------------------
% 2.04/0.63 % (21475)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.63 % (21475)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.63 % (21475)Termination reason: Unknown
% 2.04/0.63 % (21475)Termination phase: Saturation
% 2.04/0.63
% 2.04/0.63 % (21475)Memory used [KB]: 6652
% 2.04/0.63 % (21475)Time elapsed: 0.027 s
% 2.04/0.63 % (21475)Instructions burned: 51 (million)
% 2.04/0.63 % (21475)------------------------------
% 2.04/0.63 % (21475)------------------------------
% 2.04/0.64 % (21490)Instruction limit reached!
% 2.04/0.64 % (21490)------------------------------
% 2.04/0.64 % (21490)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.64 % (21490)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.64 % (21490)Termination reason: Unknown
% 2.04/0.64 % (21490)Termination phase: Saturation
% 2.04/0.64
% 2.04/0.64 % (21490)Memory used [KB]: 1663
% 2.04/0.64 % (21490)Time elapsed: 0.038 s
% 2.04/0.64 % (21490)Instructions burned: 76 (million)
% 2.04/0.64 % (21490)------------------------------
% 2.04/0.64 % (21490)------------------------------
% 2.04/0.66 % (21488)Instruction limit reached!
% 2.04/0.66 % (21488)------------------------------
% 2.04/0.66 % (21488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.66 % (21496)First to succeed.
% 2.04/0.67 % (21501)Instruction limit reached!
% 2.04/0.67 % (21501)------------------------------
% 2.04/0.67 % (21501)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.04/0.67 % (21501)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.67 % (21501)Termination reason: Unknown
% 2.04/0.67 % (21501)Termination phase: Saturation
% 2.04/0.67
% 2.04/0.67 % (21501)Memory used [KB]: 6780
% 2.04/0.67 % (21501)Time elapsed: 0.034 s
% 2.04/0.67 % (21501)Instructions burned: 69 (million)
% 2.04/0.67 % (21501)------------------------------
% 2.04/0.67 % (21501)------------------------------
% 2.04/0.67 % (21488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.04/0.67 % (21488)Termination reason: Unknown
% 2.04/0.67 % (21488)Termination phase: Saturation
% 2.04/0.67
% 2.04/0.67 % (21488)Memory used [KB]: 7291
% 2.04/0.67 % (21488)Time elapsed: 0.235 s
% 2.04/0.67 % (21488)Instructions burned: 99 (million)
% 2.04/0.67 % (21488)------------------------------
% 2.04/0.67 % (21488)------------------------------
% 2.04/0.67 TRYING [8]
% 2.30/0.67 % (21496)Refutation found. Thanks to Tanya!
% 2.30/0.67 % SZS status Theorem for theBenchmark
% 2.30/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.30/0.68 % (21496)------------------------------
% 2.30/0.68 % (21496)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.30/0.68 % (21496)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.30/0.68 % (21496)Termination reason: Refutation
% 2.30/0.68
% 2.30/0.68 % (21496)Memory used [KB]: 7675
% 2.30/0.68 % (21496)Time elapsed: 0.065 s
% 2.30/0.68 % (21496)Instructions burned: 88 (million)
% 2.30/0.68 % (21496)------------------------------
% 2.30/0.68 % (21496)------------------------------
% 2.30/0.68 % (21468)Success in time 0.311 s
%------------------------------------------------------------------------------