TSTP Solution File: ALG057+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 04:10:41 EDT 2024
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 144
% Syntax : Number of formulae : 699 ( 89 unt; 0 def)
% Number of atoms : 2703 (1662 equ)
% Maximal formula atoms : 250 ( 3 avg)
% Number of connectives : 3190 (1186 ~;1333 |; 562 &)
% ( 109 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 101 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 139 ( 137 usr; 138 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3617,plain,
$false,
inference(avatar_sat_refutation,[],[f448,f467,f486,f497,f511,f522,f537,f556,f567,f579,f590,f601,f620,f631,f643,f655,f666,f681,f693,f705,f717,f729,f739,f746,f790,f792,f832,f852,f867,f1018,f1047,f1137,f1151,f1192,f1250,f1261,f1275,f1297,f1315,f1325,f1337,f1429,f1434,f1457,f1469,f1479,f1486,f1552,f1567,f1591,f1633,f1636,f1638,f1639,f1756,f1763,f1768,f1846,f1875,f1914,f1962,f2050,f2087,f2108,f2175,f2198,f2227,f2230,f2251,f2269,f2276,f2279,f2335,f2374,f2389,f2395,f2422,f2474,f2483,f2487,f2498,f2500,f2540,f2545,f2551,f2602,f2608,f2647,f2700,f2706,f2712,f2721,f2722,f2747,f2771,f2795,f2822,f2828,f2903,f2996,f3023,f3157,f3160,f3204,f3218,f3220,f3225,f3252,f3293,f3323,f3368,f3413,f3423,f3506,f3511,f3517,f3523,f3533,f3536,f3545,f3550,f3558,f3580,f3610]) ).
fof(f3610,plain,
( ~ spl28_162
| ~ spl28_164 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3609,plain,
( $false
| ~ spl28_162
| ~ spl28_164 ),
inference(subsumption_resolution,[],[f1224,f3601]) ).
fof(f3601,plain,
( e3 != op(e3,e2)
| ~ spl28_162 ),
inference(forward_demodulation,[],[f337,f1218]) ).
fof(f1218,plain,
( e3 = op(e3,e0)
| ~ spl28_162 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1217,plain,
( spl28_162
<=> e3 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_162])]) ).
fof(f337,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( op(e4,e3) != op(e4,e4)
& op(e4,e2) != op(e4,e4)
& op(e4,e2) != op(e4,e3)
& op(e4,e1) != op(e4,e4)
& op(e4,e1) != op(e4,e3)
& op(e4,e1) != op(e4,e2)
& op(e4,e0) != op(e4,e4)
& op(e4,e0) != op(e4,e3)
& op(e4,e0) != op(e4,e2)
& op(e4,e0) != op(e4,e1)
& op(e3,e3) != op(e3,e4)
& op(e3,e2) != op(e3,e4)
& op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e4)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e4)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e3) != op(e2,e4)
& op(e2,e2) != op(e2,e4)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e4)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e4)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e3) != op(e1,e4)
& op(e1,e2) != op(e1,e4)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e4)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e4)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e3) != op(e0,e4)
& op(e0,e2) != op(e0,e4)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e4)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e4)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e3,e4) != op(e4,e4)
& op(e2,e4) != op(e4,e4)
& op(e2,e4) != op(e3,e4)
& op(e1,e4) != op(e4,e4)
& op(e1,e4) != op(e3,e4)
& op(e1,e4) != op(e2,e4)
& op(e0,e4) != op(e4,e4)
& op(e0,e4) != op(e3,e4)
& op(e0,e4) != op(e2,e4)
& op(e0,e4) != op(e1,e4)
& op(e3,e3) != op(e4,e3)
& op(e2,e3) != op(e4,e3)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e4,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e4,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e3,e2) != op(e4,e2)
& op(e2,e2) != op(e4,e2)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e4,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e4,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e3,e1) != op(e4,e1)
& op(e2,e1) != op(e4,e1)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e4,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e4,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e3,e0) != op(e4,e0)
& op(e2,e0) != op(e4,e0)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e4,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e4,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1224,plain,
( e3 = op(e3,e2)
| ~ spl28_164 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1223,plain,
( spl28_164
<=> e3 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_164])]) ).
fof(f3580,plain,
( ~ spl28_142
| ~ spl28_159 ),
inference(avatar_contradiction_clause,[],[f3579]) ).
fof(f3579,plain,
( $false
| ~ spl28_142
| ~ spl28_159 ),
inference(subsumption_resolution,[],[f1136,f3571]) ).
fof(f3571,plain,
( e3 != op(e4,e3)
| ~ spl28_159 ),
inference(forward_demodulation,[],[f289,f1206]) ).
fof(f1206,plain,
( e3 = op(e0,e3)
| ~ spl28_159 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl28_159
<=> e3 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_159])]) ).
fof(f289,plain,
op(e0,e3) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1136,plain,
( e3 = op(e4,e3)
| ~ spl28_142 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1135,plain,
( spl28_142
<=> e3 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_142])]) ).
fof(f3558,plain,
( ~ spl28_55
| ~ spl28_181
| ~ spl28_184 ),
inference(avatar_contradiction_clause,[],[f3557]) ).
fof(f3557,plain,
( $false
| ~ spl28_55
| ~ spl28_181
| ~ spl28_184 ),
inference(subsumption_resolution,[],[f3556,f235]) ).
fof(f235,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 != e4
& e2 != e4
& e2 != e3
& e1 != e4
& e1 != e3
& e1 != e2
& e0 != e4
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3556,plain,
( e0 = e1
| ~ spl28_55
| ~ spl28_181
| ~ spl28_184 ),
inference(forward_demodulation,[],[f3555,f1284]) ).
fof(f1284,plain,
( e0 = op(e3,e2)
| ~ spl28_181 ),
inference(avatar_component_clause,[],[f1283]) ).
fof(f1283,plain,
( spl28_181
<=> e0 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_181])]) ).
fof(f3555,plain,
( e1 = op(e3,e2)
| ~ spl28_55
| ~ spl28_184 ),
inference(forward_demodulation,[],[f654,f1296]) ).
fof(f1296,plain,
( e3 = op(e1,e2)
| ~ spl28_184 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1295,plain,
( spl28_184
<=> e3 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_184])]) ).
fof(f654,plain,
( e1 = op(op(e1,e2),e2)
| ~ spl28_55 ),
inference(avatar_component_clause,[],[f653]) ).
fof(f653,plain,
( spl28_55
<=> e1 = op(op(e1,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_55])]) ).
fof(f3550,plain,
( ~ spl28_36
| ~ spl28_174
| ~ spl28_176 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3549,plain,
( $false
| ~ spl28_36
| ~ spl28_174
| ~ spl28_176 ),
inference(subsumption_resolution,[],[f3548,f236]) ).
fof(f236,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3548,plain,
( e0 = e2
| ~ spl28_36
| ~ spl28_174
| ~ spl28_176 ),
inference(forward_demodulation,[],[f3547,f1268]) ).
fof(f1268,plain,
( e0 = op(e1,e3)
| ~ spl28_176 ),
inference(avatar_component_clause,[],[f1267]) ).
fof(f1267,plain,
( spl28_176
<=> e0 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_176])]) ).
fof(f3547,plain,
( e2 = op(e1,e3)
| ~ spl28_36
| ~ spl28_174 ),
inference(forward_demodulation,[],[f578,f1260]) ).
fof(f1260,plain,
( e1 = op(e2,e3)
| ~ spl28_174 ),
inference(avatar_component_clause,[],[f1259]) ).
fof(f1259,plain,
( spl28_174
<=> e1 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_174])]) ).
fof(f578,plain,
( e2 = op(op(e2,e3),e3)
| ~ spl28_36 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl28_36
<=> e2 = op(op(e2,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_36])]) ).
fof(f3545,plain,
( ~ spl28_41
| ~ spl28_197
| ~ spl28_208 ),
inference(avatar_contradiction_clause,[],[f3544]) ).
fof(f3544,plain,
( $false
| ~ spl28_41
| ~ spl28_197
| ~ spl28_208 ),
inference(subsumption_resolution,[],[f3543,f239]) ).
fof(f239,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f3543,plain,
( e1 = e2
| ~ spl28_41
| ~ spl28_197
| ~ spl28_208 ),
inference(forward_demodulation,[],[f3542,f1400]) ).
fof(f1400,plain,
( e1 = op(e0,e1)
| ~ spl28_208 ),
inference(avatar_component_clause,[],[f1399]) ).
fof(f1399,plain,
( spl28_208
<=> e1 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_208])]) ).
fof(f3542,plain,
( e2 = op(e0,e1)
| ~ spl28_41
| ~ spl28_197 ),
inference(forward_demodulation,[],[f600,f1355]) ).
fof(f1355,plain,
( e0 = op(e2,e1)
| ~ spl28_197 ),
inference(avatar_component_clause,[],[f1354]) ).
fof(f1354,plain,
( spl28_197
<=> e0 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_197])]) ).
fof(f600,plain,
( e2 = op(op(e2,e1),e1)
| ~ spl28_41 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl28_41
<=> e2 = op(op(e2,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_41])]) ).
fof(f3536,plain,
( ~ spl28_52
| ~ spl28_176
| ~ spl28_208 ),
inference(avatar_contradiction_clause,[],[f3535]) ).
fof(f3535,plain,
( $false
| ~ spl28_52
| ~ spl28_176
| ~ spl28_208 ),
inference(subsumption_resolution,[],[f3534,f3397]) ).
fof(f3397,plain,
( e1 != op(e0,e3)
| ~ spl28_208 ),
inference(backward_demodulation,[],[f311,f1400]) ).
fof(f311,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f3534,plain,
( e1 = op(e0,e3)
| ~ spl28_52
| ~ spl28_176 ),
inference(forward_demodulation,[],[f642,f1268]) ).
fof(f642,plain,
( e1 = op(op(e1,e3),e3)
| ~ spl28_52 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f641,plain,
( spl28_52
<=> e1 = op(op(e1,e3),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_52])]) ).
fof(f3533,plain,
( spl28_193
| ~ spl28_49
| ~ spl28_144 ),
inference(avatar_split_clause,[],[f3526,f1146,f629,f1335]) ).
fof(f1335,plain,
( spl28_193
<=> e1 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_193])]) ).
fof(f629,plain,
( spl28_49
<=> e1 = op(op(e1,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_49])]) ).
fof(f1146,plain,
( spl28_144
<=> e2 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_144])]) ).
fof(f3526,plain,
( e1 = op(e2,e4)
| ~ spl28_49
| ~ spl28_144 ),
inference(forward_demodulation,[],[f630,f1147]) ).
fof(f1147,plain,
( e2 = op(e1,e4)
| ~ spl28_144 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f630,plain,
( e1 = op(op(e1,e4),e4)
| ~ spl28_49 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f3523,plain,
( spl28_61
| ~ spl28_208
| ~ spl28_210 ),
inference(avatar_contradiction_clause,[],[f3522]) ).
fof(f3522,plain,
( $false
| spl28_61
| ~ spl28_208
| ~ spl28_210 ),
inference(subsumption_resolution,[],[f3521,f1400]) ).
fof(f3521,plain,
( e1 != op(e0,e1)
| spl28_61
| ~ spl28_210 ),
inference(forward_demodulation,[],[f680,f1408]) ).
fof(f1408,plain,
( e1 = op(e1,e0)
| ~ spl28_210 ),
inference(avatar_component_clause,[],[f1407]) ).
fof(f1407,plain,
( spl28_210
<=> e1 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_210])]) ).
fof(f680,plain,
( op(e0,e1) != op(e1,e0)
| spl28_61 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f679,plain,
( spl28_61
<=> op(e0,e1) = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_61])]) ).
fof(f3517,plain,
~ spl28_33,
inference(avatar_contradiction_clause,[],[f3516]) ).
fof(f3516,plain,
( $false
| ~ spl28_33 ),
inference(subsumption_resolution,[],[f3515,f239]) ).
fof(f3515,plain,
( e1 = e2
| ~ spl28_33 ),
inference(forward_demodulation,[],[f3514,f1079]) ).
fof(f1079,plain,
e1 = op(e3,e4),
inference(forward_demodulation,[],[f1078,f1068]) ).
fof(f1068,plain,
e3 = op(e2,e4),
inference(forward_demodulation,[],[f358,f359]) ).
fof(f359,plain,
e4 = op(e2,e2),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( e4 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(op(e2,op(e2,e2)),op(e2,e2))
& e0 = op(op(e2,e2),op(e2,e2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f358,plain,
e3 = op(e2,op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f1078,plain,
e1 = op(op(e2,e4),e4),
inference(forward_demodulation,[],[f357,f359]) ).
fof(f357,plain,
e1 = op(op(e2,op(e2,e2)),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f3514,plain,
( e2 = op(e3,e4)
| ~ spl28_33 ),
inference(forward_demodulation,[],[f566,f1068]) ).
fof(f566,plain,
( e2 = op(op(e2,e4),e4)
| ~ spl28_33 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f565,plain,
( spl28_33
<=> e2 = op(op(e2,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_33])]) ).
fof(f3511,plain,
( spl28_30
| ~ spl28_159
| ~ spl28_162 ),
inference(avatar_contradiction_clause,[],[f3510]) ).
fof(f3510,plain,
( $false
| spl28_30
| ~ spl28_159
| ~ spl28_162 ),
inference(subsumption_resolution,[],[f3509,f1206]) ).
fof(f3509,plain,
( e3 != op(e0,e3)
| spl28_30
| ~ spl28_162 ),
inference(forward_demodulation,[],[f555,f1218]) ).
fof(f555,plain,
( op(e0,e3) != op(e3,e0)
| spl28_30 ),
inference(avatar_component_clause,[],[f554]) ).
fof(f554,plain,
( spl28_30
<=> op(e0,e3) = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_30])]) ).
fof(f3506,plain,
( ~ spl28_15
| ~ spl28_144 ),
inference(avatar_contradiction_clause,[],[f3505]) ).
fof(f3505,plain,
( $false
| ~ spl28_15
| ~ spl28_144 ),
inference(subsumption_resolution,[],[f3504,f242]) ).
fof(f242,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3504,plain,
( e2 = e3
| ~ spl28_15
| ~ spl28_144 ),
inference(forward_demodulation,[],[f3503,f1147]) ).
fof(f3503,plain,
( e3 = op(e1,e4)
| ~ spl28_15 ),
inference(forward_demodulation,[],[f496,f1079]) ).
fof(f496,plain,
( e3 = op(op(e3,e4),e4)
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f495]) ).
fof(f495,plain,
( spl28_15
<=> e3 = op(op(e3,e4),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_15])]) ).
fof(f3423,plain,
( spl28_46
| ~ spl28_185
| ~ spl28_187 ),
inference(avatar_contradiction_clause,[],[f3422]) ).
fof(f3422,plain,
( $false
| spl28_46
| ~ spl28_185
| ~ spl28_187 ),
inference(subsumption_resolution,[],[f1302,f3418]) ).
fof(f3418,plain,
( e2 != op(e0,e2)
| spl28_46
| ~ spl28_187 ),
inference(backward_demodulation,[],[f619,f1311]) ).
fof(f1311,plain,
( e2 = op(e2,e0)
| ~ spl28_187 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f1310,plain,
( spl28_187
<=> e2 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_187])]) ).
fof(f619,plain,
( op(e0,e2) != op(e2,e0)
| spl28_46 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f618,plain,
( spl28_46
<=> op(e0,e2) = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_46])]) ).
fof(f1302,plain,
( e2 = op(e0,e2)
| ~ spl28_185 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1301,plain,
( spl28_185
<=> e2 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_185])]) ).
fof(f3413,plain,
( ~ spl28_189
| ~ spl28_208 ),
inference(avatar_contradiction_clause,[],[f3412]) ).
fof(f3412,plain,
( $false
| ~ spl28_189
| ~ spl28_208 ),
inference(subsumption_resolution,[],[f1321,f3396]) ).
fof(f3396,plain,
( e1 != op(e0,e2)
| ~ spl28_208 ),
inference(backward_demodulation,[],[f310,f1400]) ).
fof(f310,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1321,plain,
( e1 = op(e0,e2)
| ~ spl28_189 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1320,plain,
( spl28_189
<=> e1 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_189])]) ).
fof(f3368,plain,
( ~ spl28_124
| ~ spl28_139
| ~ spl28_172 ),
inference(avatar_contradiction_clause,[],[f3367]) ).
fof(f3367,plain,
( $false
| ~ spl28_124
| ~ spl28_139
| ~ spl28_172 ),
inference(subsumption_resolution,[],[f3366,f241]) ).
fof(f241,plain,
e1 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3366,plain,
( e1 = e4
| ~ spl28_124
| ~ spl28_139
| ~ spl28_172 ),
inference(forward_demodulation,[],[f3365,f1254]) ).
fof(f1254,plain,
( e1 = op(e0,e3)
| ~ spl28_172 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl28_172
<=> e1 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_172])]) ).
fof(f3365,plain,
( e4 = op(e0,e3)
| ~ spl28_124
| ~ spl28_139 ),
inference(forward_demodulation,[],[f1003,f1127]) ).
fof(f1127,plain,
( e3 = op(e4,e0)
| ~ spl28_139 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1126,plain,
( spl28_139
<=> e3 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_139])]) ).
fof(f1003,plain,
( e4 = op(e0,op(e4,e0))
| ~ spl28_124 ),
inference(avatar_component_clause,[],[f1002]) ).
fof(f1002,plain,
( spl28_124
<=> e4 = op(e0,op(e4,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_124])]) ).
fof(f3323,plain,
( spl28_127
| ~ spl28_169
| ~ spl28_181 ),
inference(avatar_contradiction_clause,[],[f3322]) ).
fof(f3322,plain,
( $false
| spl28_127
| ~ spl28_169
| ~ spl28_181 ),
inference(subsumption_resolution,[],[f3320,f1284]) ).
fof(f3320,plain,
( e0 != op(e3,e2)
| spl28_127
| ~ spl28_169 ),
inference(backward_demodulation,[],[f1016,f1243]) ).
fof(f1243,plain,
( e2 = op(e3,e0)
| ~ spl28_169 ),
inference(avatar_component_clause,[],[f1242]) ).
fof(f1242,plain,
( spl28_169
<=> e2 = op(e3,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_169])]) ).
fof(f1016,plain,
( e0 != op(e3,op(e3,e0))
| spl28_127 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1015,plain,
( spl28_127
<=> e0 = op(e3,op(e3,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_127])]) ).
fof(f3293,plain,
( ~ spl28_122
| ~ spl28_191
| ~ spl28_211 ),
inference(avatar_contradiction_clause,[],[f3292]) ).
fof(f3292,plain,
( $false
| ~ spl28_122
| ~ spl28_191
| ~ spl28_211 ),
inference(subsumption_resolution,[],[f3291,f236]) ).
fof(f3291,plain,
( e0 = e2
| ~ spl28_122
| ~ spl28_191
| ~ spl28_211 ),
inference(forward_demodulation,[],[f3287,f1413]) ).
fof(f1413,plain,
( e0 = op(e0,e1)
| ~ spl28_211 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1412,plain,
( spl28_211
<=> e0 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_211])]) ).
fof(f3287,plain,
( e2 = op(e0,e1)
| ~ spl28_122
| ~ spl28_191 ),
inference(backward_demodulation,[],[f997,f1330]) ).
fof(f1330,plain,
( e1 = op(e2,e0)
| ~ spl28_191 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl28_191
<=> e1 = op(e2,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_191])]) ).
fof(f997,plain,
( e2 = op(e0,op(e2,e0))
| ~ spl28_122 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f996,plain,
( spl28_122
<=> e2 = op(e0,op(e2,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_122])]) ).
fof(f3252,plain,
( spl28_12
| ~ spl28_134
| ~ spl28_136 ),
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3251,plain,
( $false
| spl28_12
| ~ spl28_134
| ~ spl28_136 ),
inference(subsumption_resolution,[],[f3250,f1105]) ).
fof(f1105,plain,
( e4 = op(e0,e4)
| ~ spl28_134 ),
inference(avatar_component_clause,[],[f1104]) ).
fof(f1104,plain,
( spl28_134
<=> e4 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_134])]) ).
fof(f3250,plain,
( e4 != op(e0,e4)
| spl28_12
| ~ spl28_136 ),
inference(forward_demodulation,[],[f485,f1115]) ).
fof(f1115,plain,
( e4 = op(e4,e0)
| ~ spl28_136 ),
inference(avatar_component_clause,[],[f1114]) ).
fof(f1114,plain,
( spl28_136
<=> e4 = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_136])]) ).
fof(f485,plain,
( op(e0,e4) != op(e4,e0)
| spl28_12 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f484,plain,
( spl28_12
<=> op(e0,e4) = op(e4,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_12])]) ).
fof(f3225,plain,
( ~ spl28_159
| ~ spl28_175 ),
inference(avatar_contradiction_clause,[],[f3224]) ).
fof(f3224,plain,
( $false
| ~ spl28_159
| ~ spl28_175 ),
inference(subsumption_resolution,[],[f3222,f237]) ).
fof(f237,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f3222,plain,
( e0 = e3
| ~ spl28_159
| ~ spl28_175 ),
inference(backward_demodulation,[],[f1206,f1265]) ).
fof(f1265,plain,
( e0 = op(e0,e3)
| ~ spl28_175 ),
inference(avatar_component_clause,[],[f1264]) ).
fof(f1264,plain,
( spl28_175
<=> e0 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_175])]) ).
fof(f3220,plain,
( ~ spl28_190
| ~ spl28_210 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3219,plain,
( $false
| ~ spl28_190
| ~ spl28_210 ),
inference(subsumption_resolution,[],[f1324,f2804]) ).
fof(f2804,plain,
( e1 != op(e1,e2)
| ~ spl28_210 ),
inference(backward_demodulation,[],[f317,f1408]) ).
fof(f317,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1324,plain,
( e1 = op(e1,e2)
| ~ spl28_190 ),
inference(avatar_component_clause,[],[f1323]) ).
fof(f1323,plain,
( spl28_190
<=> e1 = op(e1,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_190])]) ).
fof(f3218,plain,
( ~ spl28_192
| ~ spl28_208 ),
inference(avatar_contradiction_clause,[],[f3217]) ).
fof(f3217,plain,
( $false
| ~ spl28_192
| ~ spl28_208 ),
inference(subsumption_resolution,[],[f1333,f3068]) ).
fof(f3068,plain,
( e1 != op(e2,e1)
| ~ spl28_208 ),
inference(backward_demodulation,[],[f267,f1400]) ).
fof(f267,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1333,plain,
( e1 = op(e2,e1)
| ~ spl28_192 ),
inference(avatar_component_clause,[],[f1332]) ).
fof(f1332,plain,
( spl28_192
<=> e1 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_192])]) ).
fof(f3204,plain,
( ~ spl28_25
| ~ spl28_170 ),
inference(avatar_contradiction_clause,[],[f3203]) ).
fof(f3203,plain,
( $false
| ~ spl28_25
| ~ spl28_170 ),
inference(subsumption_resolution,[],[f1074,f3122]) ).
fof(f3122,plain,
( e3 = op(e2,e1)
| ~ spl28_25
| ~ spl28_170 ),
inference(backward_demodulation,[],[f536,f1246]) ).
fof(f1246,plain,
( e2 = op(e3,e1)
| ~ spl28_170 ),
inference(avatar_component_clause,[],[f1245]) ).
fof(f1245,plain,
( spl28_170
<=> e2 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_170])]) ).
fof(f536,plain,
( e3 = op(op(e3,e1),e1)
| ~ spl28_25 ),
inference(avatar_component_clause,[],[f535]) ).
fof(f535,plain,
( spl28_25
<=> e3 = op(op(e3,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_25])]) ).
fof(f1074,plain,
e3 != op(e2,e1),
inference(backward_demodulation,[],[f332,f1068]) ).
fof(f332,plain,
op(e2,e1) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3160,plain,
( ~ spl28_129
| ~ spl28_139 ),
inference(avatar_contradiction_clause,[],[f3159]) ).
fof(f3159,plain,
( $false
| ~ spl28_129
| ~ spl28_139 ),
inference(subsumption_resolution,[],[f3158,f244]) ).
fof(f244,plain,
e3 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f3158,plain,
( e3 = e4
| ~ spl28_129
| ~ spl28_139 ),
inference(forward_demodulation,[],[f3153,f1127]) ).
fof(f3153,plain,
( e4 = op(e4,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f254,f1034]) ).
fof(f1034,plain,
( e0 = unit
| ~ spl28_129 ),
inference(avatar_component_clause,[],[f1033]) ).
fof(f1033,plain,
( spl28_129
<=> e0 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl28_129])]) ).
fof(f254,plain,
e4 = op(e4,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit )
& e4 = op(e4,unit)
& e4 = op(unit,e4)
& e3 = op(e3,unit)
& e3 = op(unit,e3)
& e2 = op(e2,unit)
& e2 = op(unit,e2)
& e1 = op(e1,unit)
& e1 = op(unit,e1)
& e0 = op(e0,unit)
& e0 = op(unit,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3157,plain,
( ~ spl28_129
| ~ spl28_154 ),
inference(avatar_contradiction_clause,[],[f3156]) ).
fof(f3156,plain,
( $false
| ~ spl28_129
| ~ spl28_154 ),
inference(subsumption_resolution,[],[f3152,f3050]) ).
fof(f3050,plain,
( e4 != op(e0,e4)
| ~ spl28_154 ),
inference(forward_demodulation,[],[f315,f1185]) ).
fof(f1185,plain,
( e4 = op(e0,e3)
| ~ spl28_154 ),
inference(avatar_component_clause,[],[f1184]) ).
fof(f1184,plain,
( spl28_154
<=> e4 = op(e0,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_154])]) ).
fof(f315,plain,
op(e0,e3) != op(e0,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f3152,plain,
( e4 = op(e0,e4)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f253,f1034]) ).
fof(f253,plain,
e4 = op(unit,e4),
inference(cnf_transformation,[],[f2]) ).
fof(f3023,plain,
( ~ spl28_130
| ~ spl28_171 ),
inference(avatar_contradiction_clause,[],[f3022]) ).
fof(f3022,plain,
( $false
| ~ spl28_130
| ~ spl28_171 ),
inference(subsumption_resolution,[],[f3012,f2929]) ).
fof(f2929,plain,
( e2 != op(e1,e2)
| ~ spl28_171 ),
inference(forward_demodulation,[],[f281,f1249]) ).
fof(f1249,plain,
( e2 = op(e3,e2)
| ~ spl28_171 ),
inference(avatar_component_clause,[],[f1248]) ).
fof(f1248,plain,
( spl28_171
<=> e2 = op(e3,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_171])]) ).
fof(f281,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f3012,plain,
( e2 = op(e1,e2)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f249,f1037]) ).
fof(f1037,plain,
( e1 = unit
| ~ spl28_130 ),
inference(avatar_component_clause,[],[f1036]) ).
fof(f1036,plain,
( spl28_130
<=> e1 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl28_130])]) ).
fof(f249,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f2996,plain,
( ~ spl28_154
| ~ spl28_172 ),
inference(avatar_contradiction_clause,[],[f2995]) ).
fof(f2995,plain,
( $false
| ~ spl28_154
| ~ spl28_172 ),
inference(subsumption_resolution,[],[f2994,f241]) ).
fof(f2994,plain,
( e1 = e4
| ~ spl28_154
| ~ spl28_172 ),
inference(forward_demodulation,[],[f1185,f1254]) ).
fof(f2903,plain,
( ~ spl28_171
| ~ spl28_185 ),
inference(avatar_contradiction_clause,[],[f2902]) ).
fof(f2902,plain,
( $false
| ~ spl28_171
| ~ spl28_185 ),
inference(subsumption_resolution,[],[f1249,f2859]) ).
fof(f2859,plain,
( e2 != op(e3,e2)
| ~ spl28_185 ),
inference(forward_demodulation,[],[f278,f1302]) ).
fof(f278,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f2828,plain,
( spl28_2
| ~ spl28_144
| ~ spl28_152 ),
inference(avatar_contradiction_clause,[],[f2827]) ).
fof(f2827,plain,
( $false
| spl28_2
| ~ spl28_144
| ~ spl28_152 ),
inference(subsumption_resolution,[],[f1147,f2411]) ).
fof(f2411,plain,
( e2 != op(e1,e4)
| spl28_2
| ~ spl28_152 ),
inference(forward_demodulation,[],[f447,f1177]) ).
fof(f1177,plain,
( e1 = op(e4,e2)
| ~ spl28_152 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1176,plain,
( spl28_152
<=> e1 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_152])]) ).
fof(f447,plain,
( e2 != op(op(e4,e2),e4)
| spl28_2 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f446,plain,
( spl28_2
<=> e2 = op(op(e4,e2),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_2])]) ).
fof(f2822,plain,
( ~ spl28_159
| ~ spl28_183 ),
inference(avatar_contradiction_clause,[],[f2821]) ).
fof(f2821,plain,
( $false
| ~ spl28_159
| ~ spl28_183 ),
inference(subsumption_resolution,[],[f1206,f2563]) ).
fof(f2563,plain,
( e3 != op(e0,e3)
| ~ spl28_183 ),
inference(backward_demodulation,[],[f313,f1293]) ).
fof(f1293,plain,
( e3 = op(e0,e2)
| ~ spl28_183 ),
inference(avatar_component_clause,[],[f1292]) ).
fof(f1292,plain,
( spl28_183
<=> e3 = op(e0,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_183])]) ).
fof(f313,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2795,plain,
( spl28_210
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f2679,f1033,f1407]) ).
fof(f2679,plain,
( e1 = op(e1,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f248,f1034]) ).
fof(f248,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2771,plain,
( ~ spl28_129
| ~ spl28_167 ),
inference(avatar_contradiction_clause,[],[f2770]) ).
fof(f2770,plain,
( $false
| ~ spl28_129
| ~ spl28_167 ),
inference(subsumption_resolution,[],[f2681,f2752]) ).
fof(f2752,plain,
( e2 != op(e2,e0)
| ~ spl28_167 ),
inference(forward_demodulation,[],[f328,f1234]) ).
fof(f1234,plain,
( e2 = op(e2,e3)
| ~ spl28_167 ),
inference(avatar_component_clause,[],[f1233]) ).
fof(f1233,plain,
( spl28_167
<=> e2 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_167])]) ).
fof(f328,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2681,plain,
( e2 = op(e2,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f250,f1034]) ).
fof(f250,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2747,plain,
( spl28_159
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f2682,f1033,f1205]) ).
fof(f2682,plain,
( e3 = op(e0,e3)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f251,f1034]) ).
fof(f251,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f2722,plain,
( spl28_136
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f2685,f1033,f1114]) ).
fof(f2685,plain,
( e4 = op(e4,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f254,f1034]) ).
fof(f2721,plain,
( spl28_134
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f2684,f1033,f1104]) ).
fof(f2684,plain,
( e4 = op(e0,e4)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f253,f1034]) ).
fof(f2712,plain,
( spl28_125
| ~ spl28_213 ),
inference(avatar_contradiction_clause,[],[f2711]) ).
fof(f2711,plain,
( $false
| spl28_125
| ~ spl28_213 ),
inference(subsumption_resolution,[],[f2710,f1421]) ).
fof(f1421,plain,
( e0 = op(e1,e0)
| ~ spl28_213 ),
inference(avatar_component_clause,[],[f1420]) ).
fof(f1420,plain,
( spl28_213
<=> e0 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_213])]) ).
fof(f2710,plain,
( e0 != op(e1,e0)
| spl28_125
| ~ spl28_213 ),
inference(forward_demodulation,[],[f1007,f1421]) ).
fof(f1007,plain,
( e0 != op(e1,op(e1,e0))
| spl28_125 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f1006,plain,
( spl28_125
<=> e0 = op(e1,op(e1,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_125])]) ).
fof(f2706,plain,
( ~ spl28_129
| ~ spl28_143 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2705,plain,
( $false
| ~ spl28_129
| ~ spl28_143 ),
inference(subsumption_resolution,[],[f2704,f243]) ).
fof(f243,plain,
e2 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2704,plain,
( e2 = e4
| ~ spl28_129
| ~ spl28_143 ),
inference(forward_demodulation,[],[f2684,f1144]) ).
fof(f1144,plain,
( e2 = op(e0,e4)
| ~ spl28_143 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f1143,plain,
( spl28_143
<=> e2 = op(e0,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_143])]) ).
fof(f2700,plain,
( ~ spl28_129
| ~ spl28_191 ),
inference(avatar_contradiction_clause,[],[f2699]) ).
fof(f2699,plain,
( $false
| ~ spl28_129
| ~ spl28_191 ),
inference(subsumption_resolution,[],[f2698,f239]) ).
fof(f2698,plain,
( e1 = e2
| ~ spl28_129
| ~ spl28_191 ),
inference(forward_demodulation,[],[f2681,f1330]) ).
fof(f2647,plain,
( ~ spl28_199
| ~ spl28_211 ),
inference(avatar_contradiction_clause,[],[f2646]) ).
fof(f2646,plain,
( $false
| ~ spl28_199
| ~ spl28_211 ),
inference(subsumption_resolution,[],[f2645,f238]) ).
fof(f238,plain,
e0 != e4,
inference(cnf_transformation,[],[f5]) ).
fof(f2645,plain,
( e0 = e4
| ~ spl28_199
| ~ spl28_211 ),
inference(forward_demodulation,[],[f1363,f1413]) ).
fof(f1363,plain,
( e4 = op(e0,e1)
| ~ spl28_199 ),
inference(avatar_component_clause,[],[f1362]) ).
fof(f1362,plain,
( spl28_199
<=> e4 = op(e0,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_199])]) ).
fof(f2608,plain,
( ~ spl28_152
| ~ spl28_153 ),
inference(avatar_contradiction_clause,[],[f2607]) ).
fof(f2607,plain,
( $false
| ~ spl28_152
| ~ spl28_153 ),
inference(subsumption_resolution,[],[f1180,f2425]) ).
fof(f2425,plain,
( e1 != op(e4,e3)
| ~ spl28_152 ),
inference(forward_demodulation,[],[f353,f1177]) ).
fof(f353,plain,
op(e4,e2) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1180,plain,
( e1 = op(e4,e3)
| ~ spl28_153 ),
inference(avatar_component_clause,[],[f1179]) ).
fof(f1179,plain,
( spl28_153
<=> e1 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_153])]) ).
fof(f2602,plain,
~ spl28_193,
inference(avatar_contradiction_clause,[],[f2601]) ).
fof(f2601,plain,
( $false
| ~ spl28_193 ),
inference(subsumption_resolution,[],[f2600,f240]) ).
fof(f240,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f2600,plain,
( e1 = e3
| ~ spl28_193 ),
inference(backward_demodulation,[],[f1068,f1336]) ).
fof(f1336,plain,
( e1 = op(e2,e4)
| ~ spl28_193 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f2551,plain,
( spl28_183
| ~ spl28_21
| ~ spl28_181 ),
inference(avatar_split_clause,[],[f2507,f1283,f520,f1292]) ).
fof(f520,plain,
( spl28_21
<=> e3 = op(op(e3,e2),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_21])]) ).
fof(f2507,plain,
( e3 = op(e0,e2)
| ~ spl28_21
| ~ spl28_181 ),
inference(forward_demodulation,[],[f521,f1284]) ).
fof(f521,plain,
( e3 = op(op(e3,e2),e2)
| ~ spl28_21 ),
inference(avatar_component_clause,[],[f520]) ).
fof(f2545,plain,
( ~ spl28_130
| ~ spl28_138 ),
inference(avatar_contradiction_clause,[],[f2544]) ).
fof(f2544,plain,
( $false
| ~ spl28_130
| ~ spl28_138 ),
inference(subsumption_resolution,[],[f2213,f2541]) ).
fof(f2541,plain,
( e4 != op(e4,e1)
| ~ spl28_138 ),
inference(forward_demodulation,[],[f351,f1121]) ).
fof(f1121,plain,
( e4 = op(e4,e3)
| ~ spl28_138 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1120,plain,
( spl28_138
<=> e4 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_138])]) ).
fof(f351,plain,
op(e4,e1) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2213,plain,
( e4 = op(e4,e1)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f254,f1037]) ).
fof(f2540,plain,
( spl28_140
| ~ spl28_95 ),
inference(avatar_split_clause,[],[f2505,f843,f1129]) ).
fof(f1129,plain,
( spl28_140
<=> e3 = op(e4,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_140])]) ).
fof(f843,plain,
( spl28_95
<=> e3 = op(e4,op(e3,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_95])]) ).
fof(f2505,plain,
( e3 = op(e4,e1)
| ~ spl28_95 ),
inference(forward_demodulation,[],[f844,f1079]) ).
fof(f844,plain,
( e3 = op(e4,op(e3,e4))
| ~ spl28_95 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f2500,plain,
( ~ spl28_136
| ~ spl28_138 ),
inference(avatar_contradiction_clause,[],[f2499]) ).
fof(f2499,plain,
( $false
| ~ spl28_136
| ~ spl28_138 ),
inference(subsumption_resolution,[],[f1121,f2429]) ).
fof(f2429,plain,
( e4 != op(e4,e3)
| ~ spl28_136 ),
inference(forward_demodulation,[],[f348,f1115]) ).
fof(f348,plain,
op(e4,e0) != op(e4,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f2498,plain,
~ spl28_145,
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2497,plain,
( $false
| ~ spl28_145 ),
inference(subsumption_resolution,[],[f2496,f242]) ).
fof(f2496,plain,
( e2 = e3
| ~ spl28_145 ),
inference(backward_demodulation,[],[f1068,f1150]) ).
fof(f1150,plain,
( e2 = op(e2,e4)
| ~ spl28_145 ),
inference(avatar_component_clause,[],[f1149]) ).
fof(f1149,plain,
( spl28_145
<=> e2 = op(e2,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_145])]) ).
fof(f2487,plain,
( ~ spl28_163
| ~ spl28_164 ),
inference(avatar_contradiction_clause,[],[f2486]) ).
fof(f2486,plain,
( $false
| ~ spl28_163
| ~ spl28_164 ),
inference(subsumption_resolution,[],[f1221,f2433]) ).
fof(f2433,plain,
( e3 != op(e3,e1)
| ~ spl28_164 ),
inference(backward_demodulation,[],[f340,f1224]) ).
fof(f340,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f1221,plain,
( e3 = op(e3,e1)
| ~ spl28_163 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1220,plain,
( spl28_163
<=> e3 = op(e3,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_163])]) ).
fof(f2483,plain,
( ~ spl28_175
| ~ spl28_211 ),
inference(avatar_contradiction_clause,[],[f2482]) ).
fof(f2482,plain,
( $false
| ~ spl28_175
| ~ spl28_211 ),
inference(subsumption_resolution,[],[f1265,f2284]) ).
fof(f2284,plain,
( e0 != op(e0,e3)
| ~ spl28_211 ),
inference(backward_demodulation,[],[f311,f1413]) ).
fof(f2474,plain,
( ~ spl28_204
| ~ spl28_213 ),
inference(avatar_contradiction_clause,[],[f2473]) ).
fof(f2473,plain,
( $false
| ~ spl28_204
| ~ spl28_213 ),
inference(subsumption_resolution,[],[f2472,f237]) ).
fof(f2472,plain,
( e0 = e3
| ~ spl28_204
| ~ spl28_213 ),
inference(backward_demodulation,[],[f1384,f1421]) ).
fof(f1384,plain,
( e3 = op(e1,e0)
| ~ spl28_204 ),
inference(avatar_component_clause,[],[f1383]) ).
fof(f1383,plain,
( spl28_204
<=> e3 = op(e1,e0) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_204])]) ).
fof(f2422,plain,
( ~ spl28_134
| ~ spl28_135 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
fof(f2421,plain,
( $false
| ~ spl28_134
| ~ spl28_135 ),
inference(subsumption_resolution,[],[f2420,f1105]) ).
fof(f2420,plain,
( e4 != op(e0,e4)
| ~ spl28_135 ),
inference(forward_demodulation,[],[f296,f1108]) ).
fof(f1108,plain,
( e4 = op(e1,e4)
| ~ spl28_135 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1107,plain,
( spl28_135
<=> e4 = op(e1,e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_135])]) ).
fof(f296,plain,
op(e0,e4) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2395,plain,
( ~ spl28_130
| ~ spl28_140 ),
inference(avatar_contradiction_clause,[],[f2394]) ).
fof(f2394,plain,
( $false
| ~ spl28_130
| ~ spl28_140 ),
inference(subsumption_resolution,[],[f2393,f244]) ).
fof(f2393,plain,
( e3 = e4
| ~ spl28_130
| ~ spl28_140 ),
inference(forward_demodulation,[],[f2213,f1130]) ).
fof(f1130,plain,
( e3 = op(e4,e1)
| ~ spl28_140 ),
inference(avatar_component_clause,[],[f1129]) ).
fof(f2389,plain,
( ~ spl28_7
| ~ spl28_140
| ~ spl28_170 ),
inference(avatar_contradiction_clause,[],[f2388]) ).
fof(f2388,plain,
( $false
| ~ spl28_7
| ~ spl28_140
| ~ spl28_170 ),
inference(subsumption_resolution,[],[f2387,f243]) ).
fof(f2387,plain,
( e2 = e4
| ~ spl28_7
| ~ spl28_140
| ~ spl28_170 ),
inference(forward_demodulation,[],[f2386,f1246]) ).
fof(f2386,plain,
( e4 = op(e3,e1)
| ~ spl28_7
| ~ spl28_140 ),
inference(forward_demodulation,[],[f466,f1130]) ).
fof(f466,plain,
( e4 = op(op(e4,e1),e1)
| ~ spl28_7 ),
inference(avatar_component_clause,[],[f465]) ).
fof(f465,plain,
( spl28_7
<=> e4 = op(op(e4,e1),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_7])]) ).
fof(f2374,plain,
( ~ spl28_141
| ~ spl28_152 ),
inference(avatar_contradiction_clause,[],[f2373]) ).
fof(f2373,plain,
( $false
| ~ spl28_141
| ~ spl28_152 ),
inference(subsumption_resolution,[],[f2371,f240]) ).
fof(f2371,plain,
( e1 = e3
| ~ spl28_141
| ~ spl28_152 ),
inference(backward_demodulation,[],[f1133,f1177]) ).
fof(f1133,plain,
( e3 = op(e4,e2)
| ~ spl28_141 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl28_141
<=> e3 = op(e4,e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_141])]) ).
fof(f2335,plain,
( ~ spl28_130
| ~ spl28_170 ),
inference(avatar_contradiction_clause,[],[f2334]) ).
fof(f2334,plain,
( $false
| ~ spl28_130
| ~ spl28_170 ),
inference(subsumption_resolution,[],[f2209,f2296]) ).
fof(f2296,plain,
( e2 != op(e2,e1)
| ~ spl28_170 ),
inference(forward_demodulation,[],[f273,f1246]) ).
fof(f273,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f2209,plain,
( e2 = op(e2,e1)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f250,f1037]) ).
fof(f2279,plain,
( spl28_163
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f2211,f1036,f1220]) ).
fof(f2211,plain,
( e3 = op(e3,e1)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f252,f1037]) ).
fof(f252,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f2276,plain,
( ~ spl28_135
| ~ spl28_155 ),
inference(avatar_contradiction_clause,[],[f2275]) ).
fof(f2275,plain,
( $false
| ~ spl28_135
| ~ spl28_155 ),
inference(subsumption_resolution,[],[f2030,f1188]) ).
fof(f1188,plain,
( e4 = op(e1,e3)
| ~ spl28_155 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1187,plain,
( spl28_155
<=> e4 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_155])]) ).
fof(f2030,plain,
( e4 != op(e1,e3)
| ~ spl28_135 ),
inference(forward_demodulation,[],[f325,f1108]) ).
fof(f325,plain,
op(e1,e3) != op(e1,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f2269,plain,
( spl28_213
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f2204,f1036,f1420]) ).
fof(f2204,plain,
( e0 = op(e1,e0)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f245,f1037]) ).
fof(f245,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f2251,plain,
( spl28_90
| ~ spl28_149 ),
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2250,plain,
( $false
| spl28_90
| ~ spl28_149 ),
inference(subsumption_resolution,[],[f2249,f1068]) ).
fof(f2249,plain,
( e3 != op(e2,e4)
| spl28_90
| ~ spl28_149 ),
inference(forward_demodulation,[],[f818,f1165]) ).
fof(f1165,plain,
( e2 = op(e4,e3)
| ~ spl28_149 ),
inference(avatar_component_clause,[],[f1164]) ).
fof(f1164,plain,
( spl28_149
<=> e2 = op(e4,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_149])]) ).
fof(f818,plain,
( e3 != op(op(e4,e3),e4)
| spl28_90 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f817,plain,
( spl28_90
<=> e3 = op(op(e4,e3),e4) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_90])]) ).
fof(f2230,plain,
( ~ spl28_130
| ~ spl28_176 ),
inference(avatar_contradiction_clause,[],[f2229]) ).
fof(f2229,plain,
( $false
| ~ spl28_130
| ~ spl28_176 ),
inference(subsumption_resolution,[],[f2228,f237]) ).
fof(f2228,plain,
( e0 = e3
| ~ spl28_130
| ~ spl28_176 ),
inference(forward_demodulation,[],[f2210,f1268]) ).
fof(f2210,plain,
( e3 = op(e1,e3)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f251,f1037]) ).
fof(f2227,plain,
( ~ spl28_130
| ~ spl28_192 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2226,plain,
( $false
| ~ spl28_130
| ~ spl28_192 ),
inference(subsumption_resolution,[],[f2225,f239]) ).
fof(f2225,plain,
( e1 = e2
| ~ spl28_130
| ~ spl28_192 ),
inference(forward_demodulation,[],[f2209,f1333]) ).
fof(f2198,plain,
( ~ spl28_155
| ~ spl28_176 ),
inference(avatar_contradiction_clause,[],[f2197]) ).
fof(f2197,plain,
( $false
| ~ spl28_155
| ~ spl28_176 ),
inference(subsumption_resolution,[],[f2196,f238]) ).
fof(f2196,plain,
( e0 = e4
| ~ spl28_155
| ~ spl28_176 ),
inference(forward_demodulation,[],[f1188,f1268]) ).
fof(f2175,plain,
( ~ spl28_214
| ~ spl28_215 ),
inference(avatar_contradiction_clause,[],[f2174]) ).
fof(f2174,plain,
( $false
| ~ spl28_214
| ~ spl28_215 ),
inference(subsumption_resolution,[],[f2173,f244]) ).
fof(f2173,plain,
( e3 = e4
| ~ spl28_214
| ~ spl28_215 ),
inference(backward_demodulation,[],[f1426,f1433]) ).
fof(f1433,plain,
( op(e0,e0) = e3
| ~ spl28_215 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1432,plain,
( spl28_215
<=> op(e0,e0) = e3 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_215])]) ).
fof(f1426,plain,
( op(e0,e0) = e4
| ~ spl28_214 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1425,plain,
( spl28_214
<=> op(e0,e0) = e4 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_214])]) ).
fof(f2108,plain,
( ~ spl28_94
| ~ spl28_153 ),
inference(avatar_contradiction_clause,[],[f2107]) ).
fof(f2107,plain,
( $false
| ~ spl28_94
| ~ spl28_153 ),
inference(subsumption_resolution,[],[f2106,f239]) ).
fof(f2106,plain,
( e1 = e2
| ~ spl28_94
| ~ spl28_153 ),
inference(forward_demodulation,[],[f2105,f1180]) ).
fof(f2105,plain,
( e2 = op(e4,e3)
| ~ spl28_94 ),
inference(forward_demodulation,[],[f841,f1068]) ).
fof(f841,plain,
( e2 = op(e4,op(e2,e4))
| ~ spl28_94 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f840,plain,
( spl28_94
<=> e2 = op(e4,op(e2,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_94])]) ).
fof(f2087,plain,
~ spl28_133,
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2086,plain,
( $false
| ~ spl28_133 ),
inference(subsumption_resolution,[],[f2085,f238]) ).
fof(f2085,plain,
( e0 = e4
| ~ spl28_133 ),
inference(forward_demodulation,[],[f2066,f1088]) ).
fof(f1088,plain,
e0 = op(e4,e4),
inference(forward_demodulation,[],[f356,f359]) ).
fof(f356,plain,
e0 = op(op(e2,e2),op(e2,e2)),
inference(cnf_transformation,[],[f6]) ).
fof(f2066,plain,
( e4 = op(e4,e4)
| ~ spl28_133 ),
inference(backward_demodulation,[],[f254,f1046]) ).
fof(f1046,plain,
( e4 = unit
| ~ spl28_133 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1045,plain,
( spl28_133
<=> e4 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl28_133])]) ).
fof(f2050,plain,
( ~ spl28_162
| ~ spl28_169 ),
inference(avatar_contradiction_clause,[],[f2049]) ).
fof(f2049,plain,
( $false
| ~ spl28_162
| ~ spl28_169 ),
inference(subsumption_resolution,[],[f2048,f242]) ).
fof(f2048,plain,
( e2 = e3
| ~ spl28_162
| ~ spl28_169 ),
inference(forward_demodulation,[],[f1218,f1243]) ).
fof(f1962,plain,
~ spl28_132,
inference(avatar_contradiction_clause,[],[f1961]) ).
fof(f1961,plain,
( $false
| ~ spl28_132 ),
inference(subsumption_resolution,[],[f1960,f241]) ).
fof(f1960,plain,
( e1 = e4
| ~ spl28_132 ),
inference(forward_demodulation,[],[f1947,f1079]) ).
fof(f1947,plain,
( e4 = op(e3,e4)
| ~ spl28_132 ),
inference(backward_demodulation,[],[f253,f1043]) ).
fof(f1043,plain,
( e3 = unit
| ~ spl28_132 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1042,plain,
( spl28_132
<=> e3 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl28_132])]) ).
fof(f1914,plain,
( spl28_97
| ~ spl28_135 ),
inference(avatar_contradiction_clause,[],[f1913]) ).
fof(f1913,plain,
( $false
| spl28_97
| ~ spl28_135 ),
inference(subsumption_resolution,[],[f1912,f1108]) ).
fof(f1912,plain,
( e4 != op(e1,e4)
| spl28_97
| ~ spl28_135 ),
inference(backward_demodulation,[],[f851,f1108]) ).
fof(f851,plain,
( e4 != op(e1,op(e1,e4))
| spl28_97 ),
inference(avatar_component_clause,[],[f850]) ).
fof(f850,plain,
( spl28_97
<=> e4 = op(e1,op(e1,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_97])]) ).
fof(f1875,plain,
~ spl28_131,
inference(avatar_contradiction_clause,[],[f1874]) ).
fof(f1874,plain,
( $false
| ~ spl28_131 ),
inference(subsumption_resolution,[],[f1873,f244]) ).
fof(f1873,plain,
( e3 = e4
| ~ spl28_131 ),
inference(forward_demodulation,[],[f1860,f1068]) ).
fof(f1860,plain,
( e4 = op(e2,e4)
| ~ spl28_131 ),
inference(backward_demodulation,[],[f253,f1040]) ).
fof(f1040,plain,
( e2 = unit
| ~ spl28_131 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1039,plain,
( spl28_131
<=> e2 = unit ),
introduced(avatar_definition,[new_symbols(naming,[spl28_131])]) ).
fof(f1846,plain,
( ~ spl28_77
| ~ spl28_143 ),
inference(avatar_contradiction_clause,[],[f1845]) ).
fof(f1845,plain,
( $false
| ~ spl28_77
| ~ spl28_143 ),
inference(subsumption_resolution,[],[f1841,f1093]) ).
fof(f1093,plain,
e0 != op(e4,e2),
inference(backward_demodulation,[],[f354,f1088]) ).
fof(f354,plain,
op(e4,e2) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1841,plain,
( e0 = op(e4,e2)
| ~ spl28_77
| ~ spl28_143 ),
inference(backward_demodulation,[],[f745,f1144]) ).
fof(f745,plain,
( e0 = op(e4,op(e0,e4))
| ~ spl28_77 ),
inference(avatar_component_clause,[],[f744]) ).
fof(f744,plain,
( spl28_77
<=> e0 = op(e4,op(e0,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_77])]) ).
fof(f1768,plain,
( ~ spl28_130
| ~ spl28_144 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1767,plain,
( $false
| ~ spl28_130
| ~ spl28_144 ),
inference(subsumption_resolution,[],[f1766,f243]) ).
fof(f1766,plain,
( e2 = e4
| ~ spl28_130
| ~ spl28_144 ),
inference(forward_demodulation,[],[f1752,f1147]) ).
fof(f1752,plain,
( e4 = op(e1,e4)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f253,f1037]) ).
fof(f1763,plain,
( ~ spl28_130
| ~ spl28_173 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| ~ spl28_130
| ~ spl28_173 ),
inference(subsumption_resolution,[],[f1761,f240]) ).
fof(f1761,plain,
( e1 = e3
| ~ spl28_130
| ~ spl28_173 ),
inference(forward_demodulation,[],[f1750,f1257]) ).
fof(f1257,plain,
( e1 = op(e1,e3)
| ~ spl28_173 ),
inference(avatar_component_clause,[],[f1256]) ).
fof(f1256,plain,
( spl28_173
<=> e1 = op(e1,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_173])]) ).
fof(f1750,plain,
( e3 = op(e1,e3)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f251,f1037]) ).
fof(f1756,plain,
( spl28_211
| ~ spl28_130 ),
inference(avatar_split_clause,[],[f1745,f1036,f1412]) ).
fof(f1745,plain,
( e0 = op(e0,e1)
| ~ spl28_130 ),
inference(backward_demodulation,[],[f246,f1037]) ).
fof(f246,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f1639,plain,
( spl28_162
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1629,f1033,f1217]) ).
fof(f1629,plain,
( e3 = op(e3,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f252,f1034]) ).
fof(f1638,plain,
( ~ spl28_129
| ~ spl28_188 ),
inference(avatar_contradiction_clause,[],[f1637]) ).
fof(f1637,plain,
( $false
| ~ spl28_129
| ~ spl28_188 ),
inference(subsumption_resolution,[],[f1627,f1524]) ).
fof(f1524,plain,
( e2 != op(e2,e0)
| ~ spl28_188 ),
inference(backward_demodulation,[],[f326,f1314]) ).
fof(f1314,plain,
( e2 = op(e2,e1)
| ~ spl28_188 ),
inference(avatar_component_clause,[],[f1313]) ).
fof(f1313,plain,
( spl28_188
<=> e2 = op(e2,e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_188])]) ).
fof(f326,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f1627,plain,
( e2 = op(e2,e0)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f250,f1034]) ).
fof(f1636,plain,
( spl28_185
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1626,f1033,f1301]) ).
fof(f1626,plain,
( e2 = op(e0,e2)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f249,f1034]) ).
fof(f1633,plain,
( spl28_208
| ~ spl28_129 ),
inference(avatar_split_clause,[],[f1624,f1033,f1399]) ).
fof(f1624,plain,
( e1 = op(e0,e1)
| ~ spl28_129 ),
inference(backward_demodulation,[],[f247,f1034]) ).
fof(f247,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f1591,plain,
( ~ spl28_156
| ~ spl28_168 ),
inference(avatar_contradiction_clause,[],[f1590]) ).
fof(f1590,plain,
( $false
| ~ spl28_156
| ~ spl28_168 ),
inference(subsumption_resolution,[],[f1589,f243]) ).
fof(f1589,plain,
( e2 = e4
| ~ spl28_156
| ~ spl28_168 ),
inference(forward_demodulation,[],[f1191,f1237]) ).
fof(f1237,plain,
( e2 = op(e3,e3)
| ~ spl28_168 ),
inference(avatar_component_clause,[],[f1236]) ).
fof(f1236,plain,
( spl28_168
<=> e2 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_168])]) ).
fof(f1191,plain,
( e4 = op(e3,e3)
| ~ spl28_156 ),
inference(avatar_component_clause,[],[f1190]) ).
fof(f1190,plain,
( spl28_156
<=> e4 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_156])]) ).
fof(f1567,plain,
( ~ spl28_174
| ~ spl28_177 ),
inference(avatar_contradiction_clause,[],[f1566]) ).
fof(f1566,plain,
( $false
| ~ spl28_174
| ~ spl28_177 ),
inference(subsumption_resolution,[],[f1565,f235]) ).
fof(f1565,plain,
( e0 = e1
| ~ spl28_174
| ~ spl28_177 ),
inference(forward_demodulation,[],[f1260,f1271]) ).
fof(f1271,plain,
( e0 = op(e2,e3)
| ~ spl28_177 ),
inference(avatar_component_clause,[],[f1270]) ).
fof(f1270,plain,
( spl28_177
<=> e0 = op(e2,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_177])]) ).
fof(f1552,plain,
( ~ spl28_178
| ~ spl28_181 ),
inference(avatar_contradiction_clause,[],[f1551]) ).
fof(f1551,plain,
( $false
| ~ spl28_178
| ~ spl28_181 ),
inference(subsumption_resolution,[],[f1274,f1543]) ).
fof(f1543,plain,
( e0 != op(e3,e3)
| ~ spl28_181 ),
inference(backward_demodulation,[],[f343,f1284]) ).
fof(f343,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f1274,plain,
( e0 = op(e3,e3)
| ~ spl28_178 ),
inference(avatar_component_clause,[],[f1273]) ).
fof(f1273,plain,
( spl28_178
<=> e0 = op(e3,e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_178])]) ).
fof(f1486,plain,
( spl28_144
| spl28_135 ),
inference(avatar_split_clause,[],[f1485,f1107,f1146]) ).
fof(f1485,plain,
( e4 = op(e1,e4)
| e2 = op(e1,e4) ),
inference(subsumption_resolution,[],[f1484,f1090]) ).
fof(f1090,plain,
e0 != op(e1,e4),
inference(backward_demodulation,[],[f302,f1088]) ).
fof(f302,plain,
op(e1,e4) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1484,plain,
( e4 = op(e1,e4)
| e2 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f1483,f1081]) ).
fof(f1081,plain,
e1 != op(e1,e4),
inference(backward_demodulation,[],[f301,f1079]) ).
fof(f301,plain,
op(e1,e4) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1483,plain,
( e4 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(subsumption_resolution,[],[f419,f1070]) ).
fof(f1070,plain,
e3 != op(e1,e4),
inference(backward_demodulation,[],[f300,f1068]) ).
fof(f300,plain,
op(e1,e4) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f419,plain,
( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e4 = op(e4,e4)
| e3 = op(e4,e4)
| e2 = op(e4,e4)
| e1 = op(e4,e4)
| e0 = op(e4,e4) )
& ( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) )
& ( e4 = op(e4,e2)
| e3 = op(e4,e2)
| e2 = op(e4,e2)
| e1 = op(e4,e2)
| e0 = op(e4,e2) )
& ( e4 = op(e4,e1)
| e3 = op(e4,e1)
| e2 = op(e4,e1)
| e1 = op(e4,e1)
| e0 = op(e4,e1) )
& ( e4 = op(e4,e0)
| e3 = op(e4,e0)
| e2 = op(e4,e0)
| e1 = op(e4,e0)
| e0 = op(e4,e0) )
& ( e4 = op(e3,e4)
| e3 = op(e3,e4)
| e2 = op(e3,e4)
| e1 = op(e3,e4)
| e0 = op(e3,e4) )
& ( e4 = op(e3,e3)
| e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e4 = op(e3,e1)
| e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e4 = op(e3,e0)
| e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e4 = op(e2,e4)
| e3 = op(e2,e4)
| e2 = op(e2,e4)
| e1 = op(e2,e4)
| e0 = op(e2,e4) )
& ( e4 = op(e2,e3)
| e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e4 = op(e2,e2)
| e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e4 = op(e2,e0)
| e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e4 = op(e1,e4)
| e3 = op(e1,e4)
| e2 = op(e1,e4)
| e1 = op(e1,e4)
| e0 = op(e1,e4) )
& ( e4 = op(e1,e3)
| e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e4 = op(e1,e2)
| e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e4 = op(e1,e1)
| e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e4 = op(e1,e0)
| e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e4 = op(e0,e4)
| e3 = op(e0,e4)
| e2 = op(e0,e4)
| e1 = op(e0,e4)
| e0 = op(e0,e4) )
& ( e4 = op(e0,e3)
| e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e4 = op(e0,e2)
| e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e4 = op(e0,e1)
| e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e4
| op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1479,plain,
( spl28_197
| spl28_192
| spl28_188 ),
inference(avatar_split_clause,[],[f1478,f1313,f1332,f1354]) ).
fof(f1478,plain,
( e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(subsumption_resolution,[],[f1477,f1074]) ).
fof(f1477,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(subsumption_resolution,[],[f421,f1065]) ).
fof(f1065,plain,
e4 != op(e2,e1),
inference(backward_demodulation,[],[f330,f359]) ).
fof(f330,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f421,plain,
( e4 = op(e2,e1)
| e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1469,plain,
( spl28_181
| spl28_171
| spl28_164 ),
inference(avatar_split_clause,[],[f1468,f1223,f1248,f1283]) ).
fof(f1468,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f1467,f1085]) ).
fof(f1085,plain,
e1 != op(e3,e2),
inference(backward_demodulation,[],[f344,f1079]) ).
fof(f344,plain,
op(e3,e2) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f1467,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(subsumption_resolution,[],[f427,f1062]) ).
fof(f1062,plain,
e4 != op(e3,e2),
inference(backward_demodulation,[],[f283,f359]) ).
fof(f283,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f427,plain,
( e4 = op(e3,e2)
| e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1457,plain,
( spl28_153
| spl28_149
| spl28_142
| spl28_138 ),
inference(avatar_split_clause,[],[f1456,f1120,f1135,f1164,f1179]) ).
fof(f1456,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3) ),
inference(subsumption_resolution,[],[f433,f1094]) ).
fof(f1094,plain,
e0 != op(e4,e3),
inference(backward_demodulation,[],[f355,f1088]) ).
fof(f355,plain,
op(e4,e3) != op(e4,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f433,plain,
( e4 = op(e4,e3)
| e3 = op(e4,e3)
| e2 = op(e4,e3)
| e1 = op(e4,e3)
| e0 = op(e4,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1434,plain,
( spl28_215
| spl28_204
| spl28_162
| spl28_139 ),
inference(avatar_split_clause,[],[f1430,f1126,f1217,f1383,f1432]) ).
fof(f1430,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(subsumption_resolution,[],[f367,f1073]) ).
fof(f1073,plain,
e3 != op(e2,e0),
inference(backward_demodulation,[],[f329,f1068]) ).
fof(f329,plain,
op(e2,e0) != op(e2,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f367,plain,
( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e4 = op(e4,e4)
| e4 = op(e3,e4)
| e4 = op(e2,e4)
| e4 = op(e1,e4)
| e4 = op(e0,e4) )
& ( e4 = op(e4,e4)
| e4 = op(e4,e3)
| e4 = op(e4,e2)
| e4 = op(e4,e1)
| e4 = op(e4,e0) )
& ( e3 = op(e4,e4)
| e3 = op(e3,e4)
| e3 = op(e2,e4)
| e3 = op(e1,e4)
| e3 = op(e0,e4) )
& ( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) )
& ( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) )
& ( e2 = op(e4,e4)
| e2 = op(e4,e3)
| e2 = op(e4,e2)
| e2 = op(e4,e1)
| e2 = op(e4,e0) )
& ( e1 = op(e4,e4)
| e1 = op(e3,e4)
| e1 = op(e2,e4)
| e1 = op(e1,e4)
| e1 = op(e0,e4) )
& ( e1 = op(e4,e4)
| e1 = op(e4,e3)
| e1 = op(e4,e2)
| e1 = op(e4,e1)
| e1 = op(e4,e0) )
& ( e0 = op(e4,e4)
| e0 = op(e3,e4)
| e0 = op(e2,e4)
| e0 = op(e1,e4)
| e0 = op(e0,e4) )
& ( e0 = op(e4,e4)
| e0 = op(e4,e3)
| e0 = op(e4,e2)
| e0 = op(e4,e1)
| e0 = op(e4,e0) )
& ( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) )
& ( e4 = op(e3,e4)
| e4 = op(e3,e3)
| e4 = op(e3,e2)
| e4 = op(e3,e1)
| e4 = op(e3,e0) )
& ( e3 = op(e4,e3)
| e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e4)
| e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e4,e3)
| e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e4)
| e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e4)
| e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e4 = op(e4,e2)
| e4 = op(e3,e2)
| e4 = op(e2,e2)
| e4 = op(e1,e2)
| e4 = op(e0,e2) )
& ( e4 = op(e2,e4)
| e4 = op(e2,e3)
| e4 = op(e2,e2)
| e4 = op(e2,e1)
| e4 = op(e2,e0) )
& ( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e4)
| e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e4,e2)
| e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e4,e2)
| e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e4)
| e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e4 = op(e4,e1)
| e4 = op(e3,e1)
| e4 = op(e2,e1)
| e4 = op(e1,e1)
| e4 = op(e0,e1) )
& ( e4 = op(e1,e4)
| e4 = op(e1,e3)
| e4 = op(e1,e2)
| e4 = op(e1,e1)
| e4 = op(e1,e0) )
& ( e3 = op(e4,e1)
| e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e4)
| e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e4,e1)
| e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e4)
| e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e4,e1)
| e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e4)
| e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e4,e1)
| e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e4)
| e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e4 = op(e4,e0)
| e4 = op(e3,e0)
| e4 = op(e2,e0)
| e4 = op(e1,e0)
| op(e0,e0) = e4 )
& ( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 )
& ( e3 = op(e4,e0)
| e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e4)
| e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e4,e0)
| e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e4)
| e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e4,e0)
| e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e4)
| e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e4,e0)
| e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e4)
| e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1429,plain,
( spl28_214
| spl28_199
| spl28_154
| spl28_134 ),
inference(avatar_split_clause,[],[f1428,f1104,f1184,f1362,f1425]) ).
fof(f1428,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(subsumption_resolution,[],[f368,f1060]) ).
fof(f1060,plain,
e4 != op(e0,e2),
inference(backward_demodulation,[],[f277,f359]) ).
fof(f277,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f368,plain,
( e4 = op(e0,e4)
| e4 = op(e0,e3)
| e4 = op(e0,e2)
| e4 = op(e0,e1)
| op(e0,e0) = e4 ),
inference(cnf_transformation,[],[f3]) ).
fof(f1337,plain,
( spl28_191
| spl28_192
| spl28_174
| spl28_193 ),
inference(avatar_split_clause,[],[f1327,f1335,f1259,f1332,f1329]) ).
fof(f1327,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1326,f241]) ).
fof(f1326,plain,
( e1 = e4
| e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(forward_demodulation,[],[f382,f359]) ).
fof(f382,plain,
( e1 = op(e2,e4)
| e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1325,plain,
( spl28_189
| spl28_190
| spl28_152 ),
inference(avatar_split_clause,[],[f1318,f1176,f1323,f1320]) ).
fof(f1318,plain,
( e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1317,f241]) ).
fof(f1317,plain,
( e1 = e4
| e1 = op(e4,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(forward_demodulation,[],[f1316,f359]) ).
fof(f1316,plain,
( e1 = op(e4,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(subsumption_resolution,[],[f383,f1085]) ).
fof(f383,plain,
( e1 = op(e4,e2)
| e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1315,plain,
( spl28_187
| spl28_188
| spl28_167
| spl28_145 ),
inference(avatar_split_clause,[],[f1308,f1149,f1233,f1313,f1310]) ).
fof(f1308,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(subsumption_resolution,[],[f1307,f243]) ).
fof(f1307,plain,
( e2 = e4
| e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(forward_demodulation,[],[f384,f359]) ).
fof(f384,plain,
( e2 = op(e2,e4)
| e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1297,plain,
( spl28_183
| spl28_184
| spl28_164
| spl28_141 ),
inference(avatar_split_clause,[],[f1290,f1132,f1223,f1295,f1292]) ).
fof(f1290,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(subsumption_resolution,[],[f1289,f244]) ).
fof(f1289,plain,
( e3 = e4
| e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(forward_demodulation,[],[f387,f359]) ).
fof(f387,plain,
( e3 = op(e4,e2)
| e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1275,plain,
( spl28_175
| spl28_176
| spl28_177
| spl28_178 ),
inference(avatar_split_clause,[],[f1262,f1273,f1270,f1267,f1264]) ).
fof(f1262,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(subsumption_resolution,[],[f391,f1094]) ).
fof(f391,plain,
( e0 = op(e4,e3)
| e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1261,plain,
( spl28_172
| spl28_173
| spl28_174
| spl28_153 ),
inference(avatar_split_clause,[],[f1251,f1179,f1259,f1256,f1253]) ).
fof(f1251,plain,
( e1 = op(e4,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(subsumption_resolution,[],[f393,f1086]) ).
fof(f1086,plain,
e1 != op(e3,e3),
inference(backward_demodulation,[],[f345,f1079]) ).
fof(f345,plain,
op(e3,e3) != op(e3,e4),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
( e1 = op(e4,e3)
| e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1250,plain,
( spl28_169
| spl28_170
| spl28_171
| spl28_168 ),
inference(avatar_split_clause,[],[f1240,f1236,f1248,f1245,f1242]) ).
fof(f1240,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(subsumption_resolution,[],[f1239,f239]) ).
fof(f1239,plain,
( e1 = e2
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(forward_demodulation,[],[f394,f1079]) ).
fof(f394,plain,
( e2 = op(e3,e4)
| e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1192,plain,
( spl28_154
| spl28_155
| spl28_156
| spl28_138 ),
inference(avatar_split_clause,[],[f1182,f1120,f1190,f1187,f1184]) ).
fof(f1182,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(subsumption_resolution,[],[f399,f1066]) ).
fof(f1066,plain,
e4 != op(e2,e3),
inference(backward_demodulation,[],[f333,f359]) ).
fof(f333,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f399,plain,
( e4 = op(e4,e3)
| e4 = op(e3,e3)
| e4 = op(e2,e3)
| e4 = op(e1,e3)
| e4 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1151,plain,
( spl28_143
| spl28_144
| spl28_145 ),
inference(avatar_split_clause,[],[f1141,f1149,f1146,f1143]) ).
fof(f1141,plain,
( e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1140,f239]) ).
fof(f1140,plain,
( e1 = e2
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f1139,f1079]) ).
fof(f1139,plain,
( e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(subsumption_resolution,[],[f1138,f236]) ).
fof(f1138,plain,
( e0 = e2
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(forward_demodulation,[],[f405,f1088]) ).
fof(f405,plain,
( e2 = op(e4,e4)
| e2 = op(e3,e4)
| e2 = op(e2,e4)
| e2 = op(e1,e4)
| e2 = op(e0,e4) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1137,plain,
( spl28_139
| spl28_140
| spl28_141
| spl28_142 ),
inference(avatar_split_clause,[],[f1124,f1135,f1132,f1129,f1126]) ).
fof(f1124,plain,
( e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(subsumption_resolution,[],[f1123,f237]) ).
fof(f1123,plain,
( e0 = e3
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(forward_demodulation,[],[f406,f1088]) ).
fof(f406,plain,
( e3 = op(e4,e4)
| e3 = op(e4,e3)
| e3 = op(e4,e2)
| e3 = op(e4,e1)
| e3 = op(e4,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1047,plain,
( spl28_129
| spl28_130
| spl28_131
| spl28_132
| spl28_133 ),
inference(avatar_split_clause,[],[f255,f1045,f1042,f1039,f1036,f1033]) ).
fof(f255,plain,
( e4 = unit
| e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f1018,plain,
( spl28_88
| ~ spl28_125
| spl28_122
| ~ spl28_127
| spl28_124 ),
inference(avatar_split_clause,[],[f156,f1002,f1015,f996,f1006,f785]) ).
fof(f785,plain,
( spl28_88
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_88])]) ).
fof(f156,plain,
( e4 = op(e0,op(e4,e0))
| e0 != op(e3,op(e3,e0))
| e2 = op(e0,op(e2,e0))
| e0 != op(e1,op(e1,e0))
| sP0 ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5 )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| sP4 )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| sP3 )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| sP2 )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| sP1 )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| sP0 ) ),
inference(definition_folding,[],[f9,f37,f36,f35,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21,f20,f19,f18,f17,f16,f15,f14,f13,f12,f11,f10]) ).
fof(f10,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f11,plain,
( ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f12,plain,
( ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f13,plain,
( ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f14,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f15,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f16,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f17,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f18,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f19,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f20,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f21,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f22,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f23,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f24,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f25,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f26,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f27,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f28,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f29,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f30,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f31,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f32,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP22 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f33,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP23 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f34,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP24 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f35,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP25 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f36,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP26 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f37,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP27 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f9,plain,
( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(flattening,[],[f8]) ).
fof(f8,negated_conjecture,
~ ~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
inference(negated_conjecture,[],[f7]) ).
fof(f7,conjecture,
~ ( ( ( e4 != op(op(e4,e4),e4)
& e4 = op(op(e4,e4),e4)
& op(e4,e4) != op(e4,e4) )
| ( e3 != op(op(e4,e3),e4)
& e4 = op(op(e4,e3),e3)
& op(e3,e4) != op(e4,e3) )
| ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) ) )
& ( ( e4 = op(e4,op(e4,e4))
& e4 != op(e4,op(e4,e4)) )
| ( e3 = op(e4,op(e3,e4))
& e4 != op(e3,op(e3,e4)) )
| ( e2 = op(e4,op(e2,e4))
& e4 != op(e2,op(e2,e4)) )
| ( e1 = op(e4,op(e1,e4))
& e4 != op(e1,op(e1,e4)) )
| ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) ) )
& ( ( e4 = op(e3,op(e4,e3))
& e3 != op(e4,op(e4,e3)) )
| ( e3 = op(e3,op(e3,e3))
& e3 != op(e3,op(e3,e3)) )
| ( e2 = op(e3,op(e2,e3))
& e3 != op(e2,op(e2,e3)) )
| ( e1 = op(e3,op(e1,e3))
& e3 != op(e1,op(e1,e3)) )
| ( e0 = op(e3,op(e0,e3))
& e3 != op(e0,op(e0,e3)) ) )
& ( ( e4 = op(e2,op(e4,e2))
& e2 != op(e4,op(e4,e2)) )
| ( e3 = op(e2,op(e3,e2))
& e2 != op(e3,op(e3,e2)) )
| ( e2 = op(e2,op(e2,e2))
& e2 != op(e2,op(e2,e2)) )
| ( e1 = op(e2,op(e1,e2))
& e2 != op(e1,op(e1,e2)) )
| ( e0 = op(e2,op(e0,e2))
& e2 != op(e0,op(e0,e2)) ) )
& ( ( e4 = op(e1,op(e4,e1))
& e1 != op(e4,op(e4,e1)) )
| ( e3 = op(e1,op(e3,e1))
& e1 != op(e3,op(e3,e1)) )
| ( e2 = op(e1,op(e2,e1))
& e1 != op(e2,op(e2,e1)) )
| ( e1 = op(e1,op(e1,e1))
& e1 != op(e1,op(e1,e1)) )
| ( e0 = op(e1,op(e0,e1))
& e1 != op(e0,op(e0,e1)) ) )
& ( ( e4 = op(e0,op(e4,e0))
& e0 != op(e4,op(e4,e0)) )
| ( e3 = op(e0,op(e3,e0))
& e0 != op(e3,op(e3,e0)) )
| ( e2 = op(e0,op(e2,e0))
& e0 != op(e2,op(e2,e0)) )
| ( e1 = op(e0,op(e1,e0))
& e0 != op(e1,op(e1,e0)) )
| ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f867,plain,
( spl28_76
| ~ spl28_97
| spl28_94
| spl28_95
| ~ spl28_96 ),
inference(avatar_split_clause,[],[f216,f846,f843,f840,f850,f741]) ).
fof(f741,plain,
( spl28_76
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_76])]) ).
fof(f846,plain,
( spl28_96
<=> e4 = op(e4,op(e4,e4)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_96])]) ).
fof(f216,plain,
( e4 != op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| e4 != op(e1,op(e1,e4))
| sP4 ),
inference(cnf_transformation,[],[f38]) ).
fof(f852,plain,
( spl28_76
| ~ spl28_97
| spl28_94
| spl28_95
| spl28_96 ),
inference(avatar_split_clause,[],[f224,f846,f843,f840,f850,f741]) ).
fof(f224,plain,
( e4 = op(e4,op(e4,e4))
| e3 = op(e4,op(e3,e4))
| e2 = op(e4,op(e2,e4))
| e4 != op(e1,op(e1,e4))
| sP4 ),
inference(cnf_transformation,[],[f38]) ).
fof(f832,plain,
( spl28_74
| spl28_71
| spl28_68
| spl28_65
| spl28_62
| spl28_58
| spl28_56
| spl28_53
| spl28_50
| spl28_47
| spl28_43
| spl28_39
| spl28_37
| spl28_34
| spl28_31
| spl28_27
| spl28_23
| spl28_19
| spl28_17
| spl28_13
| spl28_9
| spl28_5
| spl28_1
| ~ spl28_90 ),
inference(avatar_split_clause,[],[f437,f817,f443,f458,f473,f488,f503,f513,f528,f543,f558,f570,f582,f592,f607,f622,f634,f646,f658,f668,f683,f695,f707,f719,f731]) ).
fof(f731,plain,
( spl28_74
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_74])]) ).
fof(f719,plain,
( spl28_71
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_71])]) ).
fof(f707,plain,
( spl28_68
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_68])]) ).
fof(f695,plain,
( spl28_65
<=> sP8 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_65])]) ).
fof(f683,plain,
( spl28_62
<=> sP9 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_62])]) ).
fof(f668,plain,
( spl28_58
<=> sP10 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_58])]) ).
fof(f658,plain,
( spl28_56
<=> sP11 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_56])]) ).
fof(f646,plain,
( spl28_53
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_53])]) ).
fof(f634,plain,
( spl28_50
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_50])]) ).
fof(f622,plain,
( spl28_47
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_47])]) ).
fof(f607,plain,
( spl28_43
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_43])]) ).
fof(f592,plain,
( spl28_39
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_39])]) ).
fof(f582,plain,
( spl28_37
<=> sP17 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_37])]) ).
fof(f570,plain,
( spl28_34
<=> sP18 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_34])]) ).
fof(f558,plain,
( spl28_31
<=> sP19 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_31])]) ).
fof(f543,plain,
( spl28_27
<=> sP20 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_27])]) ).
fof(f528,plain,
( spl28_23
<=> sP21 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_23])]) ).
fof(f513,plain,
( spl28_19
<=> sP22 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_19])]) ).
fof(f503,plain,
( spl28_17
<=> sP23 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_17])]) ).
fof(f488,plain,
( spl28_13
<=> sP24 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_13])]) ).
fof(f473,plain,
( spl28_9
<=> sP25 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_9])]) ).
fof(f458,plain,
( spl28_5
<=> sP26 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_5])]) ).
fof(f443,plain,
( spl28_1
<=> sP27 ),
introduced(avatar_definition,[new_symbols(naming,[spl28_1])]) ).
fof(f437,plain,
( e3 != op(op(e4,e3),e4)
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5 ),
inference(trivial_inequality_removal,[],[f228]) ).
fof(f228,plain,
( op(e4,e4) != op(e4,e4)
| e3 != op(op(e4,e3),e4)
| sP27
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12
| sP11
| sP10
| sP9
| sP8
| sP7
| sP6
| sP5 ),
inference(cnf_transformation,[],[f38]) ).
fof(f792,plain,
( ~ spl28_88
| ~ spl28_89 ),
inference(avatar_split_clause,[],[f144,f788,f785]) ).
fof(f788,plain,
( spl28_89
<=> e0 = op(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl28_89])]) ).
fof(f144,plain,
( e0 != op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
( ( e0 = op(e0,op(e0,e0))
& e0 != op(e0,op(e0,e0)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f10]) ).
fof(f790,plain,
( ~ spl28_88
| spl28_89 ),
inference(avatar_split_clause,[],[f145,f788,f785]) ).
fof(f145,plain,
( e0 = op(e0,op(e0,e0))
| ~ sP0 ),
inference(cnf_transformation,[],[f66]) ).
fof(f746,plain,
( ~ spl28_76
| spl28_77 ),
inference(avatar_split_clause,[],[f137,f744,f741]) ).
fof(f137,plain,
( e0 = op(e4,op(e0,e4))
| ~ sP4 ),
inference(cnf_transformation,[],[f62]) ).
fof(f62,plain,
( ( e0 = op(e4,op(e0,e4))
& e4 != op(e0,op(e0,e4)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f14]) ).
fof(f739,plain,
~ spl28_74,
inference(avatar_split_clause,[],[f438,f731]) ).
fof(f438,plain,
~ sP5,
inference(trivial_inequality_removal,[],[f133]) ).
fof(f133,plain,
( op(e0,e0) != op(e0,e0)
| ~ sP5 ),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( ( e0 != op(op(e0,e0),e0)
& e0 = op(op(e0,e0),e0)
& op(e0,e0) != op(e0,e0) )
| ~ sP5 ),
inference(nnf_transformation,[],[f15]) ).
fof(f729,plain,
( ~ spl28_71
| ~ spl28_61 ),
inference(avatar_split_clause,[],[f130,f679,f719]) ).
fof(f130,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP6 ),
inference(cnf_transformation,[],[f60]) ).
fof(f60,plain,
( ( e1 != op(op(e0,e1),e0)
& e0 = op(op(e0,e1),e1)
& op(e0,e1) != op(e1,e0) )
| ~ sP6 ),
inference(nnf_transformation,[],[f16]) ).
fof(f717,plain,
( ~ spl28_68
| ~ spl28_46 ),
inference(avatar_split_clause,[],[f127,f618,f707]) ).
fof(f127,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP7 ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
( ( e2 != op(op(e0,e2),e0)
& e0 = op(op(e0,e2),e2)
& op(e0,e2) != op(e2,e0) )
| ~ sP7 ),
inference(nnf_transformation,[],[f17]) ).
fof(f705,plain,
( ~ spl28_65
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f124,f554,f695]) ).
fof(f124,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP8 ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
( ( e3 != op(op(e0,e3),e0)
& e0 = op(op(e0,e3),e3)
& op(e0,e3) != op(e3,e0) )
| ~ sP8 ),
inference(nnf_transformation,[],[f18]) ).
fof(f693,plain,
( ~ spl28_62
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f121,f484,f683]) ).
fof(f121,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP9 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e4 != op(op(e0,e4),e0)
& e0 = op(op(e0,e4),e4)
& op(e0,e4) != op(e4,e0) )
| ~ sP9 ),
inference(nnf_transformation,[],[f19]) ).
fof(f681,plain,
( ~ spl28_58
| ~ spl28_61 ),
inference(avatar_split_clause,[],[f118,f679,f668]) ).
fof(f118,plain,
( op(e0,e1) != op(e1,e0)
| ~ sP10 ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e0 != op(op(e1,e0),e1)
& e1 = op(op(e1,e0),e0)
& op(e0,e1) != op(e1,e0) )
| ~ sP10 ),
inference(nnf_transformation,[],[f20]) ).
fof(f666,plain,
~ spl28_56,
inference(avatar_split_clause,[],[f439,f658]) ).
fof(f439,plain,
~ sP11,
inference(trivial_inequality_removal,[],[f115]) ).
fof(f115,plain,
( op(e1,e1) != op(e1,e1)
| ~ sP11 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e1 != op(op(e1,e1),e1)
& e1 = op(op(e1,e1),e1)
& op(e1,e1) != op(e1,e1) )
| ~ sP11 ),
inference(nnf_transformation,[],[f21]) ).
fof(f655,plain,
( ~ spl28_53
| spl28_55 ),
inference(avatar_split_clause,[],[f113,f653,f646]) ).
fof(f113,plain,
( e1 = op(op(e1,e2),e2)
| ~ sP12 ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
( ( e2 != op(op(e1,e2),e1)
& e1 = op(op(e1,e2),e2)
& op(e1,e2) != op(e2,e1) )
| ~ sP12 ),
inference(nnf_transformation,[],[f22]) ).
fof(f643,plain,
( ~ spl28_50
| spl28_52 ),
inference(avatar_split_clause,[],[f110,f641,f634]) ).
fof(f110,plain,
( e1 = op(op(e1,e3),e3)
| ~ sP13 ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e3 != op(op(e1,e3),e1)
& e1 = op(op(e1,e3),e3)
& op(e1,e3) != op(e3,e1) )
| ~ sP13 ),
inference(nnf_transformation,[],[f23]) ).
fof(f631,plain,
( ~ spl28_47
| spl28_49 ),
inference(avatar_split_clause,[],[f107,f629,f622]) ).
fof(f107,plain,
( e1 = op(op(e1,e4),e4)
| ~ sP14 ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e4 != op(op(e1,e4),e1)
& e1 = op(op(e1,e4),e4)
& op(e1,e4) != op(e4,e1) )
| ~ sP14 ),
inference(nnf_transformation,[],[f24]) ).
fof(f620,plain,
( ~ spl28_43
| ~ spl28_46 ),
inference(avatar_split_clause,[],[f103,f618,f607]) ).
fof(f103,plain,
( op(e0,e2) != op(e2,e0)
| ~ sP15 ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e0 != op(op(e2,e0),e2)
& e2 = op(op(e2,e0),e0)
& op(e0,e2) != op(e2,e0) )
| ~ sP15 ),
inference(nnf_transformation,[],[f25]) ).
fof(f601,plain,
( ~ spl28_39
| spl28_41 ),
inference(avatar_split_clause,[],[f101,f599,f592]) ).
fof(f101,plain,
( e2 = op(op(e2,e1),e1)
| ~ sP16 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e1 != op(op(e2,e1),e2)
& e2 = op(op(e2,e1),e1)
& op(e1,e2) != op(e2,e1) )
| ~ sP16 ),
inference(nnf_transformation,[],[f26]) ).
fof(f590,plain,
~ spl28_37,
inference(avatar_split_clause,[],[f440,f582]) ).
fof(f440,plain,
~ sP17,
inference(trivial_inequality_removal,[],[f97]) ).
fof(f97,plain,
( op(e2,e2) != op(e2,e2)
| ~ sP17 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e2 != op(op(e2,e2),e2)
& e2 = op(op(e2,e2),e2)
& op(e2,e2) != op(e2,e2) )
| ~ sP17 ),
inference(nnf_transformation,[],[f27]) ).
fof(f579,plain,
( ~ spl28_34
| spl28_36 ),
inference(avatar_split_clause,[],[f95,f577,f570]) ).
fof(f95,plain,
( e2 = op(op(e2,e3),e3)
| ~ sP18 ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e3 != op(op(e2,e3),e2)
& e2 = op(op(e2,e3),e3)
& op(e2,e3) != op(e3,e2) )
| ~ sP18 ),
inference(nnf_transformation,[],[f28]) ).
fof(f567,plain,
( ~ spl28_31
| spl28_33 ),
inference(avatar_split_clause,[],[f92,f565,f558]) ).
fof(f92,plain,
( e2 = op(op(e2,e4),e4)
| ~ sP19 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e4 != op(op(e2,e4),e2)
& e2 = op(op(e2,e4),e4)
& op(e2,e4) != op(e4,e2) )
| ~ sP19 ),
inference(nnf_transformation,[],[f29]) ).
fof(f556,plain,
( ~ spl28_27
| ~ spl28_30 ),
inference(avatar_split_clause,[],[f88,f554,f543]) ).
fof(f88,plain,
( op(e0,e3) != op(e3,e0)
| ~ sP20 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e0 != op(op(e3,e0),e3)
& e3 = op(op(e3,e0),e0)
& op(e0,e3) != op(e3,e0) )
| ~ sP20 ),
inference(nnf_transformation,[],[f30]) ).
fof(f537,plain,
( ~ spl28_23
| spl28_25 ),
inference(avatar_split_clause,[],[f86,f535,f528]) ).
fof(f86,plain,
( e3 = op(op(e3,e1),e1)
| ~ sP21 ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e1 != op(op(e3,e1),e3)
& e3 = op(op(e3,e1),e1)
& op(e1,e3) != op(e3,e1) )
| ~ sP21 ),
inference(nnf_transformation,[],[f31]) ).
fof(f522,plain,
( ~ spl28_19
| spl28_21 ),
inference(avatar_split_clause,[],[f83,f520,f513]) ).
fof(f83,plain,
( e3 = op(op(e3,e2),e2)
| ~ sP22 ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e2 != op(op(e3,e2),e3)
& e3 = op(op(e3,e2),e2)
& op(e2,e3) != op(e3,e2) )
| ~ sP22 ),
inference(nnf_transformation,[],[f32]) ).
fof(f511,plain,
~ spl28_17,
inference(avatar_split_clause,[],[f441,f503]) ).
fof(f441,plain,
~ sP23,
inference(trivial_inequality_removal,[],[f79]) ).
fof(f79,plain,
( op(e3,e3) != op(e3,e3)
| ~ sP23 ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e3 != op(op(e3,e3),e3)
& e3 = op(op(e3,e3),e3)
& op(e3,e3) != op(e3,e3) )
| ~ sP23 ),
inference(nnf_transformation,[],[f33]) ).
fof(f497,plain,
( ~ spl28_13
| spl28_15 ),
inference(avatar_split_clause,[],[f77,f495,f488]) ).
fof(f77,plain,
( e3 = op(op(e3,e4),e4)
| ~ sP24 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e4 != op(op(e3,e4),e3)
& e3 = op(op(e3,e4),e4)
& op(e3,e4) != op(e4,e3) )
| ~ sP24 ),
inference(nnf_transformation,[],[f34]) ).
fof(f486,plain,
( ~ spl28_9
| ~ spl28_12 ),
inference(avatar_split_clause,[],[f73,f484,f473]) ).
fof(f73,plain,
( op(e0,e4) != op(e4,e0)
| ~ sP25 ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( e0 != op(op(e4,e0),e4)
& e4 = op(op(e4,e0),e0)
& op(e0,e4) != op(e4,e0) )
| ~ sP25 ),
inference(nnf_transformation,[],[f35]) ).
fof(f467,plain,
( ~ spl28_5
| spl28_7 ),
inference(avatar_split_clause,[],[f71,f465,f458]) ).
fof(f71,plain,
( e4 = op(op(e4,e1),e1)
| ~ sP26 ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( ( e1 != op(op(e4,e1),e4)
& e4 = op(op(e4,e1),e1)
& op(e1,e4) != op(e4,e1) )
| ~ sP26 ),
inference(nnf_transformation,[],[f36]) ).
fof(f448,plain,
( ~ spl28_1
| ~ spl28_2 ),
inference(avatar_split_clause,[],[f69,f446,f443]) ).
fof(f69,plain,
( e2 != op(op(e4,e2),e4)
| ~ sP27 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e2 != op(op(e4,e2),e4)
& e4 = op(op(e4,e2),e2)
& op(e2,e4) != op(e4,e2) )
| ~ sP27 ),
inference(nnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG057+1 : TPTP v8.2.0. Released v2.7.0.
% 0.11/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 16:46:09 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.35 This is a FOF_THM_RFO_PEQ problem
% 0.18/0.35 Running first-order model finding
% 0.18/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1209)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1207)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1205)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1206)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1208)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1203)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.20/0.42 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (1204)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.20/0.44 Detected minimum model sizes of [5]
% 0.20/0.44 Detected maximum model sizes of [max]
% 0.20/0.45 Detected minimum model sizes of [5]
% 0.20/0.45 Detected maximum model sizes of [max]
% 0.20/0.45 TRYING [5]
% 0.20/0.45 Detected minimum model sizes of [5]
% 0.20/0.45 Detected maximum model sizes of [max]
% 0.20/0.45 TRYING [10]
% 0.20/0.45 TRYING [23]
% 0.20/0.47 % (1209)Instruction limit reached!
% 0.20/0.47 % (1209)------------------------------
% 0.20/0.47 % (1209)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (1209)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (1209)Termination reason: Time limit
% 0.20/0.47 % (1209)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (1209)Memory used [KB]: 2946
% 0.20/0.47 % (1209)Time elapsed: 0.052 s
% 0.20/0.47 % (1209)Instructions burned: 117 (million)
% 0.20/0.47 % (1207)Instruction limit reached!
% 0.20/0.47 % (1207)------------------------------
% 0.20/0.47 % (1207)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.47 % (1207)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.47 % (1207)Termination reason: Time limit
% 0.20/0.47 % (1207)Termination phase: Saturation
% 0.20/0.47
% 0.20/0.47 % (1207)Memory used [KB]: 2071
% 0.20/0.47 % (1207)Time elapsed: 0.054 s
% 0.20/0.47 % (1207)Instructions burned: 104 (million)
% 0.20/0.48 % (1208)First to succeed.
% 0.20/0.49 % (1208)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1202"
% 0.20/0.49 % (1202)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.49 % (1208)Refutation found. Thanks to Tanya!
% 0.20/0.49 % SZS status Theorem for theBenchmark
% 0.20/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.49 % (1208)------------------------------
% 0.20/0.49 % (1208)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (1208)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (1208)Termination reason: Refutation
% 0.20/0.49
% 0.20/0.49 % (1208)Memory used [KB]: 1688
% 0.20/0.49 % (1208)Time elapsed: 0.070 s
% 0.20/0.49 % (1208)Instructions burned: 139 (million)
% 0.20/0.49 % (1208)------------------------------
% 0.20/0.49 % (1208)------------------------------
% 0.20/0.49 % (1202)Success in time 0.118 s
%------------------------------------------------------------------------------