TSTP Solution File: ALG116+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 15:42:50 EDT 2022
% Result : Theorem 2.87s 0.81s
% Output : Refutation 3.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 192
% Syntax : Number of formulae : 902 ( 114 unt; 0 def)
% Number of atoms : 3352 (1870 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 3990 (1540 ~;1752 |; 541 &)
% ( 157 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 177 ( 175 usr; 176 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4481,plain,
$false,
inference(avatar_sat_refutation,[],[f654,f734,f929,f934,f947,f973,f984,f1052,f1070,f1075,f1088,f1127,f1150,f1159,f1191,f1256,f1288,f1297,f1332,f1334,f1335,f1336,f1354,f1360,f1391,f1401,f1440,f1450,f1455,f1497,f1499,f1505,f1513,f1540,f1553,f1563,f1588,f1593,f1594,f1615,f1630,f1653,f1660,f1666,f1667,f1675,f1682,f1722,f1727,f1759,f1760,f1763,f1791,f1798,f1806,f1853,f1866,f1873,f1885,f1886,f1896,f1944,f1981,f1989,f1990,f1992,f2004,f2016,f2017,f2018,f2019,f2020,f2028,f2029,f2030,f2041,f2042,f2045,f2058,f2061,f2075,f2119,f2131,f2142,f2151,f2154,f2159,f2193,f2217,f2221,f2240,f2244,f2295,f2303,f2318,f2345,f2348,f2366,f2373,f2390,f2431,f2456,f2459,f2461,f2479,f2498,f2503,f2527,f2539,f2558,f2587,f2591,f2607,f2609,f2666,f2674,f2696,f2711,f2715,f2717,f2749,f2759,f2760,f2792,f2829,f2842,f2885,f2888,f2900,f2902,f2989,f2993,f2996,f3000,f3017,f3022,f3043,f3044,f3057,f3070,f3076,f3089,f3170,f3178,f3191,f3207,f3225,f3235,f3259,f3291,f3321,f3326,f3380,f3398,f3406,f3417,f3451,f3499,f3527,f3565,f3570,f3610,f3617,f3621,f3732,f3738,f3742,f3750,f3855,f3863,f3923,f3939,f3979,f4007,f4032,f4068,f4112,f4149,f4178,f4191,f4234,f4243,f4332,f4370,f4425]) ).
fof(f4425,plain,
( spl18_245
| ~ spl18_249
| ~ spl18_302 ),
inference(avatar_contradiction_clause,[],[f4424]) ).
fof(f4424,plain,
( $false
| spl18_245
| ~ spl18_249
| ~ spl18_302 ),
inference(subsumption_resolution,[],[f4423,f1495]) ).
fof(f1495,plain,
( e11 != e13
| spl18_245 ),
inference(avatar_component_clause,[],[f1494]) ).
fof(f1494,plain,
( spl18_245
<=> e11 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_245])]) ).
fof(f4423,plain,
( e11 = e13
| ~ spl18_249
| ~ spl18_302 ),
inference(forward_demodulation,[],[f4422,f257]) ).
fof(f257,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e12 = op1(op1(e13,op1(e13,e13)),e13)
& e11 = op1(e13,e13)
& e10 = op1(e13,op1(e13,e13)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f4422,plain,
( e13 = op1(e13,e13)
| ~ spl18_249
| ~ spl18_302 ),
inference(forward_demodulation,[],[f1865,f1524]) ).
fof(f1524,plain,
( e13 = op1(e11,e13)
| ~ spl18_249 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1522,plain,
( spl18_249
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_249])]) ).
fof(f1865,plain,
( e13 = op1(op1(e11,e13),op1(e11,e13))
| ~ spl18_302 ),
inference(avatar_component_clause,[],[f1863]) ).
fof(f1863,plain,
( spl18_302
<=> e13 = op1(op1(e11,e13),op1(e11,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_302])]) ).
fof(f4370,plain,
( ~ spl18_70
| ~ spl18_244 ),
inference(avatar_split_clause,[],[f4369,f1490,f687]) ).
fof(f687,plain,
( spl18_70
<=> e13 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_70])]) ).
fof(f1490,plain,
( spl18_244
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_244])]) ).
fof(f4369,plain,
( e13 != op1(e12,e12)
| ~ spl18_244 ),
inference(forward_demodulation,[],[f99,f1492]) ).
fof(f1492,plain,
( e13 = op1(e13,e12)
| ~ spl18_244 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f99,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e13,e10) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e11,e12) != op1(e13,e12)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,e13) != op1(e12,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e12) != op1(e10,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e10,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e11) != op1(e11,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e11) != op1(e13,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e11,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e11,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e11) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e13,e10)
& op1(e12,e11) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e12,e13) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f4332,plain,
( ~ spl18_165
| ~ spl18_164 ),
inference(avatar_split_clause,[],[f4330,f1094,f1098]) ).
fof(f1098,plain,
( spl18_165
<=> e12 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_165])]) ).
fof(f1094,plain,
( spl18_164
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_164])]) ).
fof(f4330,plain,
( e12 != op1(e11,e11)
| ~ spl18_164 ),
inference(backward_demodulation,[],[f118,f1096]) ).
fof(f1096,plain,
( e12 = op1(e12,e11)
| ~ spl18_164 ),
inference(avatar_component_clause,[],[f1094]) ).
fof(f118,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f4243,plain,
( spl18_41
| ~ spl18_80
| ~ spl18_153
| ~ spl18_214
| ~ spl18_249 ),
inference(avatar_contradiction_clause,[],[f4242]) ).
fof(f4242,plain,
( $false
| spl18_41
| ~ spl18_80
| ~ spl18_153
| ~ spl18_214
| ~ spl18_249 ),
inference(subsumption_resolution,[],[f4241,f1047]) ).
fof(f1047,plain,
( e23 = op2(e21,e23)
| ~ spl18_153 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f1045,plain,
( spl18_153
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_153])]) ).
fof(f4241,plain,
( e23 != op2(e21,e23)
| spl18_41
| ~ spl18_80
| ~ spl18_214
| ~ spl18_249 ),
inference(forward_demodulation,[],[f4240,f732]) ).
fof(f732,plain,
( e23 = h4(e13)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f731,plain,
( spl18_80
<=> e23 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_80])]) ).
fof(f4240,plain,
( op2(e21,e23) != h4(e13)
| spl18_41
| ~ spl18_80
| ~ spl18_214
| ~ spl18_249 ),
inference(forward_demodulation,[],[f4239,f1524]) ).
fof(f4239,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| spl18_41
| ~ spl18_80
| ~ spl18_214 ),
inference(forward_demodulation,[],[f4238,f1330]) ).
fof(f1330,plain,
( e21 = h4(e11)
| ~ spl18_214 ),
inference(avatar_component_clause,[],[f1329]) ).
fof(f1329,plain,
( spl18_214
<=> e21 = h4(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_214])]) ).
fof(f4238,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl18_41
| ~ spl18_80 ),
inference(forward_demodulation,[],[f563,f732]) ).
fof(f563,plain,
( h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| spl18_41 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f561,plain,
( spl18_41
<=> h4(op1(e11,e13)) = op2(h4(e11),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_41])]) ).
fof(f4234,plain,
( ~ spl18_80
| ~ spl18_102
| ~ spl18_214
| spl18_216 ),
inference(avatar_contradiction_clause,[],[f4233]) ).
fof(f4233,plain,
( $false
| ~ spl18_80
| ~ spl18_102
| ~ spl18_214
| spl18_216 ),
inference(subsumption_resolution,[],[f4232,f824]) ).
fof(f824,plain,
( e21 = op2(e23,e23)
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f822,plain,
( spl18_102
<=> e21 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_102])]) ).
fof(f4232,plain,
( e21 != op2(e23,e23)
| ~ spl18_80
| ~ spl18_214
| spl18_216 ),
inference(forward_demodulation,[],[f4231,f1330]) ).
fof(f4231,plain,
( op2(e23,e23) != h4(e11)
| ~ spl18_80
| spl18_216 ),
inference(forward_demodulation,[],[f1347,f732]) ).
fof(f1347,plain,
( h4(e11) != op2(h4(e13),h4(e13))
| spl18_216 ),
inference(avatar_component_clause,[],[f1345]) ).
fof(f1345,plain,
( spl18_216
<=> h4(e11) = op2(h4(e13),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_216])]) ).
fof(f4191,plain,
( spl18_37
| ~ spl18_199
| ~ spl18_205
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4190]) ).
fof(f4190,plain,
( $false
| spl18_37
| ~ spl18_199
| ~ spl18_205
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4189,f1260]) ).
fof(f1260,plain,
( e21 = op2(e20,e22)
| ~ spl18_199 ),
inference(avatar_component_clause,[],[f1258]) ).
fof(f1258,plain,
( spl18_199
<=> e21 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_199])]) ).
fof(f4189,plain,
( e21 != op2(e20,e22)
| spl18_37
| ~ spl18_205
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4188,f1330]) ).
fof(f4188,plain,
( op2(e20,e22) != h4(e11)
| spl18_37
| ~ spl18_205
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4187,f1287]) ).
fof(f1287,plain,
( e11 = op1(e10,e12)
| ~ spl18_205 ),
inference(avatar_component_clause,[],[f1285]) ).
fof(f1285,plain,
( spl18_205
<=> e11 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_205])]) ).
fof(f4187,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| spl18_37
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4186,f1453]) ).
fof(f1453,plain,
( e20 = h4(e10)
| ~ spl18_237 ),
inference(avatar_component_clause,[],[f1452]) ).
fof(f1452,plain,
( spl18_237
<=> e20 = h4(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_237])]) ).
fof(f4186,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| spl18_37
| ~ spl18_246 ),
inference(forward_demodulation,[],[f547,f1503]) ).
fof(f1503,plain,
( e22 = h4(e12)
| ~ spl18_246 ),
inference(avatar_component_clause,[],[f1502]) ).
fof(f1502,plain,
( spl18_246
<=> e22 = h4(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_246])]) ).
fof(f547,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl18_37 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f545,plain,
( spl18_37
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_37])]) ).
fof(f4178,plain,
( spl18_36
| ~ spl18_133
| ~ spl18_211
| ~ spl18_214
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4177]) ).
fof(f4177,plain,
( $false
| spl18_36
| ~ spl18_133
| ~ spl18_211
| ~ spl18_214
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4176,f1316]) ).
fof(f1316,plain,
( e21 = op2(e22,e21)
| ~ spl18_211 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl18_211
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_211])]) ).
fof(f4176,plain,
( e21 != op2(e22,e21)
| spl18_36
| ~ spl18_133
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4175,f1330]) ).
fof(f4175,plain,
( op2(e22,e21) != h4(e11)
| spl18_36
| ~ spl18_133
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4174,f955]) ).
fof(f955,plain,
( e11 = op1(e12,e11)
| ~ spl18_133 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f953,plain,
( spl18_133
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_133])]) ).
fof(f4174,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| spl18_36
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4173,f1503]) ).
fof(f4173,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| spl18_36
| ~ spl18_214 ),
inference(forward_demodulation,[],[f543,f1330]) ).
fof(f543,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl18_36 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f541,plain,
( spl18_36
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_36])]) ).
fof(f4149,plain,
( spl18_32
| ~ spl18_80
| ~ spl18_146
| ~ spl18_194
| ~ spl18_237
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4148]) ).
fof(f4148,plain,
( $false
| spl18_32
| ~ spl18_80
| ~ spl18_146
| ~ spl18_194
| ~ spl18_237
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4147,f1237]) ).
fof(f1237,plain,
( e22 = op2(e20,e23)
| ~ spl18_194 ),
inference(avatar_component_clause,[],[f1235]) ).
fof(f1235,plain,
( spl18_194
<=> e22 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_194])]) ).
fof(f4147,plain,
( e22 != op2(e20,e23)
| spl18_32
| ~ spl18_80
| ~ spl18_146
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4146,f1503]) ).
fof(f4146,plain,
( op2(e20,e23) != h4(e12)
| spl18_32
| ~ spl18_80
| ~ spl18_146
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4145,f1014]) ).
fof(f1014,plain,
( e12 = op1(e10,e13)
| ~ spl18_146 ),
inference(avatar_component_clause,[],[f1012]) ).
fof(f1012,plain,
( spl18_146
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_146])]) ).
fof(f4145,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl18_32
| ~ spl18_80
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4144,f1453]) ).
fof(f4144,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl18_32
| ~ spl18_80 ),
inference(forward_demodulation,[],[f527,f732]) ).
fof(f527,plain,
( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| spl18_32 ),
inference(avatar_component_clause,[],[f525]) ).
fof(f525,plain,
( spl18_32
<=> h4(op1(e10,e13)) = op2(h4(e10),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_32])]) ).
fof(f4112,plain,
( spl18_29
| ~ spl18_80
| ~ spl18_125
| ~ spl18_131
| ~ spl18_237
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f4111]) ).
fof(f4111,plain,
( $false
| spl18_29
| ~ spl18_80
| ~ spl18_125
| ~ spl18_131
| ~ spl18_237
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f4110,f920]) ).
fof(f920,plain,
( e20 = op2(e22,e23)
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f918]) ).
fof(f918,plain,
( spl18_125
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_125])]) ).
fof(f4110,plain,
( e20 != op2(e22,e23)
| spl18_29
| ~ spl18_80
| ~ spl18_131
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4109,f1453]) ).
fof(f4109,plain,
( op2(e22,e23) != h4(e10)
| spl18_29
| ~ spl18_80
| ~ spl18_131
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4108,f946]) ).
fof(f946,plain,
( e10 = op1(e12,e13)
| ~ spl18_131 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f944,plain,
( spl18_131
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_131])]) ).
fof(f4108,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| spl18_29
| ~ spl18_80
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4107,f1503]) ).
fof(f4107,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl18_29
| ~ spl18_80 ),
inference(forward_demodulation,[],[f515,f732]) ).
fof(f515,plain,
( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| spl18_29 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f513,plain,
( spl18_29
<=> h4(op1(e12,e13)) = op2(h4(e12),h4(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_29])]) ).
fof(f4068,plain,
( spl18_40
| ~ spl18_137
| ~ spl18_166
| ~ spl18_214
| ~ spl18_237 ),
inference(avatar_contradiction_clause,[],[f4067]) ).
fof(f4067,plain,
( $false
| spl18_40
| ~ spl18_137
| ~ spl18_166
| ~ spl18_214
| ~ spl18_237 ),
inference(subsumption_resolution,[],[f4066,f972]) ).
fof(f972,plain,
( e21 = op2(e21,e20)
| ~ spl18_137 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f970,plain,
( spl18_137
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_137])]) ).
fof(f4066,plain,
( e21 != op2(e21,e20)
| spl18_40
| ~ spl18_166
| ~ spl18_214
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4065,f1330]) ).
fof(f4065,plain,
( op2(e21,e20) != h4(e11)
| spl18_40
| ~ spl18_166
| ~ spl18_214
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4064,f1105]) ).
fof(f1105,plain,
( e11 = op1(e11,e10)
| ~ spl18_166 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1103,plain,
( spl18_166
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_166])]) ).
fof(f4064,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| spl18_40
| ~ spl18_214
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4063,f1330]) ).
fof(f4063,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl18_40
| ~ spl18_237 ),
inference(forward_demodulation,[],[f559,f1453]) ).
fof(f559,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl18_40 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f557,plain,
( spl18_40
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_40])]) ).
fof(f4032,plain,
( spl18_38
| ~ spl18_54
| ~ spl18_80
| ~ spl18_246
| ~ spl18_266 ),
inference(avatar_contradiction_clause,[],[f4031]) ).
fof(f4031,plain,
( $false
| spl18_38
| ~ spl18_54
| ~ spl18_80
| ~ spl18_246
| ~ spl18_266 ),
inference(subsumption_resolution,[],[f4030,f1619]) ).
fof(f1619,plain,
( e22 = op2(e23,e22)
| ~ spl18_266 ),
inference(avatar_component_clause,[],[f1617]) ).
fof(f1617,plain,
( spl18_266
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_266])]) ).
fof(f4030,plain,
( e22 != op2(e23,e22)
| spl18_38
| ~ spl18_54
| ~ spl18_80
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4029,f1503]) ).
fof(f4029,plain,
( op2(e23,e22) != h4(e12)
| spl18_38
| ~ spl18_54
| ~ spl18_80
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4028,f619]) ).
fof(f619,plain,
( e12 = op1(e13,e12)
| ~ spl18_54 ),
inference(avatar_component_clause,[],[f617]) ).
fof(f617,plain,
( spl18_54
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_54])]) ).
fof(f4028,plain,
( op2(e23,e22) != h4(op1(e13,e12))
| spl18_38
| ~ spl18_80
| ~ spl18_246 ),
inference(forward_demodulation,[],[f4027,f732]) ).
fof(f4027,plain,
( h4(op1(e13,e12)) != op2(h4(e13),e22)
| spl18_38
| ~ spl18_246 ),
inference(forward_demodulation,[],[f551,f1503]) ).
fof(f551,plain,
( h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| spl18_38 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f549,plain,
( spl18_38
<=> h4(op1(e13,e12)) = op2(h4(e13),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_38])]) ).
fof(f4007,plain,
( spl18_35
| ~ spl18_77
| ~ spl18_80
| ~ spl18_209
| ~ spl18_214
| ~ spl18_237 ),
inference(avatar_contradiction_clause,[],[f4006]) ).
fof(f4006,plain,
( $false
| spl18_35
| ~ spl18_77
| ~ spl18_80
| ~ spl18_209
| ~ spl18_214
| ~ spl18_237 ),
inference(subsumption_resolution,[],[f4005,f720]) ).
fof(f720,plain,
( e20 = op2(e23,e21)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f718]) ).
fof(f718,plain,
( spl18_77
<=> e20 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_77])]) ).
fof(f4005,plain,
( e20 != op2(e23,e21)
| spl18_35
| ~ spl18_80
| ~ spl18_209
| ~ spl18_214
| ~ spl18_237 ),
inference(forward_demodulation,[],[f4004,f1453]) ).
fof(f4004,plain,
( op2(e23,e21) != h4(e10)
| spl18_35
| ~ spl18_80
| ~ spl18_209
| ~ spl18_214 ),
inference(forward_demodulation,[],[f4003,f1305]) ).
fof(f1305,plain,
( e10 = op1(e13,e11)
| ~ spl18_209 ),
inference(avatar_component_clause,[],[f1303]) ).
fof(f1303,plain,
( spl18_209
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_209])]) ).
fof(f4003,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| spl18_35
| ~ spl18_80
| ~ spl18_214 ),
inference(forward_demodulation,[],[f4002,f732]) ).
fof(f4002,plain,
( h4(op1(e13,e11)) != op2(h4(e13),e21)
| spl18_35
| ~ spl18_214 ),
inference(forward_demodulation,[],[f539,f1330]) ).
fof(f539,plain,
( h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| spl18_35 ),
inference(avatar_component_clause,[],[f537]) ).
fof(f537,plain,
( spl18_35
<=> h4(op1(e13,e11)) = op2(h4(e13),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_35])]) ).
fof(f3979,plain,
( spl18_31
| ~ spl18_192
| ~ spl18_198
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3978]) ).
fof(f3978,plain,
( $false
| spl18_31
| ~ spl18_192
| ~ spl18_198
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3977,f1228]) ).
fof(f1228,plain,
( e20 = op2(e21,e22)
| ~ spl18_192 ),
inference(avatar_component_clause,[],[f1226]) ).
fof(f1226,plain,
( spl18_192
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_192])]) ).
fof(f3977,plain,
( e20 != op2(e21,e22)
| spl18_31
| ~ spl18_198
| ~ spl18_214
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3976,f1453]) ).
fof(f3976,plain,
( op2(e21,e22) != h4(e10)
| spl18_31
| ~ spl18_198
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3975,f1255]) ).
fof(f1255,plain,
( e10 = op1(e11,e12)
| ~ spl18_198 ),
inference(avatar_component_clause,[],[f1253]) ).
fof(f1253,plain,
( spl18_198
<=> e10 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_198])]) ).
fof(f3975,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| spl18_31
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3974,f1330]) ).
fof(f3974,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| spl18_31
| ~ spl18_246 ),
inference(forward_demodulation,[],[f523,f1503]) ).
fof(f523,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl18_31 ),
inference(avatar_component_clause,[],[f521]) ).
fof(f521,plain,
( spl18_31
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_31])]) ).
fof(f3939,plain,
( spl18_28
| ~ spl18_59
| ~ spl18_230
| ~ spl18_237
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3938]) ).
fof(f3938,plain,
( $false
| spl18_28
| ~ spl18_59
| ~ spl18_230
| ~ spl18_237
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3937,f641]) ).
fof(f641,plain,
( e22 = op2(e22,e20)
| ~ spl18_59 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f639,plain,
( spl18_59
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_59])]) ).
fof(f3937,plain,
( e22 != op2(e22,e20)
| spl18_28
| ~ spl18_230
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3936,f1503]) ).
fof(f3936,plain,
( op2(e22,e20) != h4(e12)
| spl18_28
| ~ spl18_230
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3935,f1420]) ).
fof(f1420,plain,
( e12 = op1(e12,e10)
| ~ spl18_230 ),
inference(avatar_component_clause,[],[f1418]) ).
fof(f1418,plain,
( spl18_230
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_230])]) ).
fof(f3935,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| spl18_28
| ~ spl18_237
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3934,f1503]) ).
fof(f3934,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl18_28
| ~ spl18_237 ),
inference(forward_demodulation,[],[f511,f1453]) ).
fof(f511,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl18_28 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f509,plain,
( spl18_28
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_28])]) ).
fof(f3923,plain,
( spl18_27
| ~ spl18_47
| ~ spl18_80
| ~ spl18_214
| ~ spl18_237
| ~ spl18_262 ),
inference(avatar_contradiction_clause,[],[f3922]) ).
fof(f3922,plain,
( $false
| spl18_27
| ~ spl18_47
| ~ spl18_80
| ~ spl18_214
| ~ spl18_237
| ~ spl18_262 ),
inference(subsumption_resolution,[],[f3921,f590]) ).
fof(f590,plain,
( e23 = op2(e20,e21)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f588,plain,
( spl18_47
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_47])]) ).
fof(f3921,plain,
( e23 != op2(e20,e21)
| spl18_27
| ~ spl18_80
| ~ spl18_214
| ~ spl18_237
| ~ spl18_262 ),
inference(forward_demodulation,[],[f3920,f732]) ).
fof(f3920,plain,
( op2(e20,e21) != h4(e13)
| spl18_27
| ~ spl18_214
| ~ spl18_237
| ~ spl18_262 ),
inference(forward_demodulation,[],[f3919,f1592]) ).
fof(f1592,plain,
( e13 = op1(e10,e11)
| ~ spl18_262 ),
inference(avatar_component_clause,[],[f1590]) ).
fof(f1590,plain,
( spl18_262
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_262])]) ).
fof(f3919,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| spl18_27
| ~ spl18_214
| ~ spl18_237 ),
inference(forward_demodulation,[],[f3918,f1453]) ).
fof(f3918,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| spl18_27
| ~ spl18_214 ),
inference(forward_demodulation,[],[f507,f1330]) ).
fof(f507,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl18_27 ),
inference(avatar_component_clause,[],[f505]) ).
fof(f505,plain,
( spl18_27
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_27])]) ).
fof(f3863,plain,
( spl18_26
| ~ spl18_75
| ~ spl18_165
| ~ spl18_214
| ~ spl18_246 ),
inference(avatar_contradiction_clause,[],[f3862]) ).
fof(f3862,plain,
( $false
| spl18_26
| ~ spl18_75
| ~ spl18_165
| ~ spl18_214
| ~ spl18_246 ),
inference(subsumption_resolution,[],[f3861,f711]) ).
fof(f711,plain,
( e22 = op2(e21,e21)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl18_75
<=> e22 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_75])]) ).
fof(f3861,plain,
( e22 != op2(e21,e21)
| spl18_26
| ~ spl18_165
| ~ spl18_214
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3860,f1503]) ).
fof(f3860,plain,
( op2(e21,e21) != h4(e12)
| spl18_26
| ~ spl18_165
| ~ spl18_214 ),
inference(forward_demodulation,[],[f3859,f1100]) ).
fof(f1100,plain,
( e12 = op1(e11,e11)
| ~ spl18_165 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f3859,plain,
( op2(e21,e21) != h4(op1(e11,e11))
| spl18_26
| ~ spl18_214 ),
inference(forward_demodulation,[],[f503,f1330]) ).
fof(f503,plain,
( h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| spl18_26 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f501,plain,
( spl18_26
<=> h4(op1(e11,e11)) = op2(h4(e11),h4(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_26])]) ).
fof(f3855,plain,
( spl18_23
| ~ spl18_80
| ~ spl18_158
| ~ spl18_237
| ~ spl18_242 ),
inference(avatar_contradiction_clause,[],[f3854]) ).
fof(f3854,plain,
( $false
| spl18_23
| ~ spl18_80
| ~ spl18_158
| ~ spl18_237
| ~ spl18_242 ),
inference(subsumption_resolution,[],[f3853,f1069]) ).
fof(f1069,plain,
( e23 = op2(e23,e20)
| ~ spl18_158 ),
inference(avatar_component_clause,[],[f1067]) ).
fof(f1067,plain,
( spl18_158
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_158])]) ).
fof(f3853,plain,
( e23 != op2(e23,e20)
| spl18_23
| ~ spl18_80
| ~ spl18_237
| ~ spl18_242 ),
inference(forward_demodulation,[],[f3852,f732]) ).
fof(f3852,plain,
( op2(e23,e20) != h4(e13)
| spl18_23
| ~ spl18_80
| ~ spl18_237
| ~ spl18_242 ),
inference(forward_demodulation,[],[f3851,f1481]) ).
fof(f1481,plain,
( e13 = op1(e13,e10)
| ~ spl18_242 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1479,plain,
( spl18_242
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_242])]) ).
fof(f3851,plain,
( op2(e23,e20) != h4(op1(e13,e10))
| spl18_23
| ~ spl18_80
| ~ spl18_237 ),
inference(forward_demodulation,[],[f3850,f732]) ).
fof(f3850,plain,
( h4(op1(e13,e10)) != op2(h4(e13),e20)
| spl18_23
| ~ spl18_237 ),
inference(forward_demodulation,[],[f491,f1453]) ).
fof(f491,plain,
( h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| spl18_23 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f489,plain,
( spl18_23
<=> h4(op1(e13,e10)) = op2(h4(e13),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_23])]) ).
fof(f3750,plain,
( ~ spl18_179
| ~ spl18_287 ),
inference(avatar_split_clause,[],[f3686,f1756,f1161]) ).
fof(f1161,plain,
( spl18_179
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_179])]) ).
fof(f1756,plain,
( spl18_287
<=> e20 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_287])]) ).
fof(f3686,plain,
( e20 != op2(e21,e20)
| ~ spl18_287 ),
inference(forward_demodulation,[],[f1749,f1758]) ).
fof(f1758,plain,
( e20 = h1(e11)
| ~ spl18_287 ),
inference(avatar_component_clause,[],[f1756]) ).
fof(f1749,plain,
op2(e21,e20) != h1(e11),
inference(backward_demodulation,[],[f343,f63]) ).
fof(f63,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e11)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& e20 = h1(e13)
& h1(e10) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f343,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e21,e20) != op2(e22,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e20) != op2(e21,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e22,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e22) != op2(e20,e23)
& op2(e20,e23) != op2(e21,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e22,e20) != op2(e22,e21)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e22) != op2(e22,e23)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e21,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e21,e23) != op2(e22,e23)
& op2(e20,e22) != op2(e22,e22)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e20) != op2(e23,e20)
& op2(e22,e21) != op2(e22,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3742,plain,
( spl18_57
| ~ spl18_128
| ~ spl18_194 ),
inference(avatar_split_clause,[],[f3741,f1235,f931,f630]) ).
fof(f630,plain,
( spl18_57
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_57])]) ).
fof(f931,plain,
( spl18_128
<=> e23 = op2(op2(e20,e23),op2(e20,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_128])]) ).
fof(f3741,plain,
( e23 = op2(e22,e22)
| ~ spl18_128
| ~ spl18_194 ),
inference(forward_demodulation,[],[f933,f1237]) ).
fof(f933,plain,
( e23 = op2(op2(e20,e23),op2(e20,e23))
| ~ spl18_128 ),
inference(avatar_component_clause,[],[f931]) ).
fof(f3738,plain,
( ~ spl18_57
| spl18_24
| ~ spl18_70
| ~ spl18_80
| ~ spl18_246 ),
inference(avatar_split_clause,[],[f3737,f1502,f731,f687,f493,f630]) ).
fof(f493,plain,
( spl18_24
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_24])]) ).
fof(f3737,plain,
( e23 != op2(e22,e22)
| spl18_24
| ~ spl18_70
| ~ spl18_80
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3736,f732]) ).
fof(f3736,plain,
( op2(e22,e22) != h4(e13)
| spl18_24
| ~ spl18_70
| ~ spl18_246 ),
inference(forward_demodulation,[],[f3526,f689]) ).
fof(f689,plain,
( e13 = op1(e12,e12)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f687]) ).
fof(f3526,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| spl18_24
| ~ spl18_246 ),
inference(forward_demodulation,[],[f495,f1503]) ).
fof(f495,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl18_24 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f3732,plain,
( ~ spl18_185
| ~ spl18_158 ),
inference(avatar_split_clause,[],[f3731,f1067,f1188]) ).
fof(f1188,plain,
( spl18_185
<=> e23 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_185])]) ).
fof(f3731,plain,
( e23 != op2(e21,e20)
| ~ spl18_158 ),
inference(backward_demodulation,[],[f342,f1069]) ).
fof(f342,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3621,plain,
( ~ spl18_102
| ~ spl18_153
| ~ spl18_236 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3620,plain,
( $false
| ~ spl18_102
| ~ spl18_153
| ~ spl18_236 ),
inference(subsumption_resolution,[],[f3619,f388]) ).
fof(f388,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e22 != e23
& e21 != e22
& e20 != e23
& e20 != e22
& e20 != e21
& e21 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f3619,plain,
( e21 = e23
| ~ spl18_102
| ~ spl18_153
| ~ spl18_236 ),
inference(forward_demodulation,[],[f3618,f824]) ).
fof(f3618,plain,
( e23 = op2(e23,e23)
| ~ spl18_153
| ~ spl18_236 ),
inference(backward_demodulation,[],[f1449,f1047]) ).
fof(f1449,plain,
( e23 = op2(op2(e21,e23),op2(e21,e23))
| ~ spl18_236 ),
inference(avatar_component_clause,[],[f1447]) ).
fof(f1447,plain,
( spl18_236
<=> e23 = op2(op2(e21,e23),op2(e21,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_236])]) ).
fof(f3617,plain,
( spl18_219
| ~ spl18_75 ),
inference(avatar_split_clause,[],[f3616,f709,f1363]) ).
fof(f1363,plain,
( spl18_219
<=> e22 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_219])]) ).
fof(f3616,plain,
( e22 = h2(e11)
| ~ spl18_75 ),
inference(backward_demodulation,[],[f397,f711]) ).
fof(f397,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
( op2(e21,e21) = h2(e11)
& h2(e10) = op2(e21,op2(e21,e21))
& e21 = h2(e13)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f3610,plain,
( ~ spl18_203
| ~ spl18_307 ),
inference(avatar_contradiction_clause,[],[f3609]) ).
fof(f3609,plain,
( $false
| ~ spl18_203
| ~ spl18_307 ),
inference(subsumption_resolution,[],[f3608,f264]) ).
fof(f264,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e12
& e11 != e13
& e10 != e12
& e10 != e11
& e12 != e13
& e10 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f3608,plain,
( e11 = e12
| ~ spl18_203
| ~ spl18_307 ),
inference(forward_demodulation,[],[f3607,f257]) ).
fof(f3607,plain,
( e12 = op1(e13,e13)
| ~ spl18_203
| ~ spl18_307 ),
inference(backward_demodulation,[],[f1895,f1279]) ).
fof(f1279,plain,
( e13 = op1(e10,e12)
| ~ spl18_203 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1277,plain,
( spl18_203
<=> e13 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_203])]) ).
fof(f1895,plain,
( e12 = op1(op1(e10,e12),op1(e10,e12))
| ~ spl18_307 ),
inference(avatar_component_clause,[],[f1893]) ).
fof(f1893,plain,
( spl18_307
<=> e12 = op1(op1(e10,e12),op1(e10,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_307])]) ).
fof(f3570,plain,
( ~ spl18_60
| ~ spl18_125 ),
inference(avatar_split_clause,[],[f3569,f918,f643]) ).
fof(f643,plain,
( spl18_60
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_60])]) ).
fof(f3569,plain,
( e20 != op2(e22,e20)
| ~ spl18_125 ),
inference(forward_demodulation,[],[f330,f920]) ).
fof(f330,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3565,plain,
( ~ spl18_126
| ~ spl18_125 ),
inference(avatar_split_clause,[],[f3561,f918,f922]) ).
fof(f922,plain,
( spl18_126
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_126])]) ).
fof(f3561,plain,
( e20 != op2(e21,e23)
| ~ spl18_125 ),
inference(backward_demodulation,[],[f306,f920]) ).
fof(f306,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3527,plain,
( spl18_70
| ~ spl18_146
| ~ spl18_273 ),
inference(avatar_split_clause,[],[f3394,f1657,f1012,f687]) ).
fof(f1657,plain,
( spl18_273
<=> e13 = op1(op1(e10,e13),op1(e10,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_273])]) ).
fof(f3394,plain,
( e13 = op1(e12,e12)
| ~ spl18_146
| ~ spl18_273 ),
inference(forward_demodulation,[],[f1659,f1014]) ).
fof(f1659,plain,
( e13 = op1(op1(e10,e13),op1(e10,e13))
| ~ spl18_273 ),
inference(avatar_component_clause,[],[f1657]) ).
fof(f3499,plain,
( ~ spl18_102
| ~ spl18_171
| ~ spl18_280 ),
inference(avatar_contradiction_clause,[],[f3498]) ).
fof(f3498,plain,
( $false
| ~ spl18_102
| ~ spl18_171
| ~ spl18_280 ),
inference(subsumption_resolution,[],[f3497,f388]) ).
fof(f3497,plain,
( e21 = e23
| ~ spl18_102
| ~ spl18_171
| ~ spl18_280 ),
inference(forward_demodulation,[],[f3496,f824]) ).
fof(f3496,plain,
( e23 = op2(e23,e23)
| ~ spl18_171
| ~ spl18_280 ),
inference(backward_demodulation,[],[f1126,f1704]) ).
fof(f1704,plain,
( e23 = op2(e22,e23)
| ~ spl18_280 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1702,plain,
( spl18_280
<=> e23 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_280])]) ).
fof(f1126,plain,
( e23 = op2(op2(e22,e23),op2(e22,e23))
| ~ spl18_171 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl18_171
<=> e23 = op2(op2(e22,e23),op2(e22,e23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_171])]) ).
fof(f3451,plain,
( ~ spl18_287
| spl18_34
| ~ spl18_161
| ~ spl18_237 ),
inference(avatar_split_clause,[],[f3450,f1452,f1081,f533,f1756]) ).
fof(f533,plain,
( spl18_34
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_34])]) ).
fof(f1081,plain,
( spl18_161
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_161])]) ).
fof(f3450,plain,
( e20 != h1(e11)
| spl18_34
| ~ spl18_161
| ~ spl18_237 ),
inference(forward_demodulation,[],[f3449,f1453]) ).
fof(f3449,plain,
( h1(e11) != h4(e10)
| spl18_34
| ~ spl18_161
| ~ spl18_237 ),
inference(forward_demodulation,[],[f2149,f1083]) ).
fof(f1083,plain,
( e10 = op1(e10,e10)
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f2149,plain,
( h1(e11) != h4(op1(e10,e10))
| spl18_34
| ~ spl18_237 ),
inference(forward_demodulation,[],[f2147,f63]) ).
fof(f2147,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl18_34
| ~ spl18_237 ),
inference(backward_demodulation,[],[f535,f1453]) ).
fof(f535,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl18_34 ),
inference(avatar_component_clause,[],[f533]) ).
fof(f3417,plain,
( spl18_165
| ~ spl18_205
| ~ spl18_307 ),
inference(avatar_contradiction_clause,[],[f3416]) ).
fof(f3416,plain,
( $false
| spl18_165
| ~ spl18_205
| ~ spl18_307 ),
inference(subsumption_resolution,[],[f3415,f1099]) ).
fof(f1099,plain,
( e12 != op1(e11,e11)
| spl18_165 ),
inference(avatar_component_clause,[],[f1098]) ).
fof(f3415,plain,
( e12 = op1(e11,e11)
| ~ spl18_205
| ~ spl18_307 ),
inference(backward_demodulation,[],[f1895,f1287]) ).
fof(f3406,plain,
( ~ spl18_260
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f3405,f1012,f1580]) ).
fof(f1580,plain,
( spl18_260
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_260])]) ).
fof(f3405,plain,
( e12 != op1(e11,e13)
| ~ spl18_146 ),
inference(forward_demodulation,[],[f139,f1014]) ).
fof(f139,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3398,plain,
( spl18_225
| ~ spl18_126
| ~ spl18_236 ),
inference(avatar_split_clause,[],[f3315,f1447,f922,f1393]) ).
fof(f1393,plain,
( spl18_225
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_225])]) ).
fof(f3315,plain,
( op2(e20,e20) = e23
| ~ spl18_126
| ~ spl18_236 ),
inference(backward_demodulation,[],[f1449,f924]) ).
fof(f924,plain,
( e20 = op2(e21,e23)
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f922]) ).
fof(f3380,plain,
( ~ spl18_59
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f3379,f1063,f639]) ).
fof(f1063,plain,
( spl18_157
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_157])]) ).
fof(f3379,plain,
( e22 != op2(e22,e20)
| ~ spl18_157 ),
inference(forward_demodulation,[],[f302,f1065]) ).
fof(f1065,plain,
( e22 = op2(e23,e20)
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f1063]) ).
fof(f302,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f3326,plain,
( ~ spl18_69
| ~ spl18_70 ),
inference(avatar_contradiction_clause,[],[f3325]) ).
fof(f3325,plain,
( $false
| ~ spl18_69
| ~ spl18_70 ),
inference(subsumption_resolution,[],[f2770,f689]) ).
fof(f2770,plain,
( e13 != op1(e12,e12)
| ~ spl18_69 ),
inference(forward_demodulation,[],[f97,f685]) ).
fof(f685,plain,
( e13 = op1(e12,e13)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl18_69
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_69])]) ).
fof(f97,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f3321,plain,
( ~ spl18_126
| ~ spl18_180
| ~ spl18_236 ),
inference(avatar_contradiction_clause,[],[f3320]) ).
fof(f3320,plain,
( $false
| ~ spl18_126
| ~ spl18_180
| ~ spl18_236 ),
inference(subsumption_resolution,[],[f3319,f391]) ).
fof(f391,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f3319,plain,
( e20 = e23
| ~ spl18_126
| ~ spl18_180
| ~ spl18_236 ),
inference(forward_demodulation,[],[f3315,f1167]) ).
fof(f1167,plain,
( e20 = op2(e20,e20)
| ~ spl18_180 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1165,plain,
( spl18_180
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_180])]) ).
fof(f3291,plain,
( spl18_78
| ~ spl18_137
| ~ spl18_283 ),
inference(avatar_contradiction_clause,[],[f3290]) ).
fof(f3290,plain,
( $false
| spl18_78
| ~ spl18_137
| ~ spl18_283 ),
inference(subsumption_resolution,[],[f3289,f723]) ).
fof(f723,plain,
( e20 != op2(e21,e21)
| spl18_78 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f722,plain,
( spl18_78
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_78])]) ).
fof(f3289,plain,
( e20 = op2(e21,e21)
| ~ spl18_137
| ~ spl18_283 ),
inference(forward_demodulation,[],[f1721,f972]) ).
fof(f1721,plain,
( e20 = op2(op2(e21,e20),op2(e21,e20))
| ~ spl18_283 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1719,plain,
( spl18_283
<=> e20 = op2(op2(e21,e20),op2(e21,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_283])]) ).
fof(f3259,plain,
( spl18_229
| ~ spl18_54
| ~ spl18_300 ),
inference(avatar_split_clause,[],[f3258,f1850,f617,f1414]) ).
fof(f1414,plain,
( spl18_229
<=> e12 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_229])]) ).
fof(f1850,plain,
( spl18_300
<=> e12 = op1(op1(e13,e12),op1(e13,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_300])]) ).
fof(f3258,plain,
( e12 = op1(e12,e12)
| ~ spl18_54
| ~ spl18_300 ),
inference(forward_demodulation,[],[f1852,f619]) ).
fof(f1852,plain,
( e12 = op1(op1(e13,e12),op1(e13,e12))
| ~ spl18_300 ),
inference(avatar_component_clause,[],[f1850]) ).
fof(f3235,plain,
( spl18_180
| ~ spl18_287 ),
inference(avatar_split_clause,[],[f3231,f1756,f1165]) ).
fof(f3231,plain,
( e20 = op2(e20,e20)
| ~ spl18_287 ),
inference(backward_demodulation,[],[f63,f1758]) ).
fof(f3225,plain,
~ spl18_206,
inference(avatar_contradiction_clause,[],[f3224]) ).
fof(f3224,plain,
( $false
| ~ spl18_206 ),
inference(subsumption_resolution,[],[f3223,f261]) ).
fof(f261,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f3223,plain,
( e10 = e11
| ~ spl18_206 ),
inference(backward_demodulation,[],[f257,f1292]) ).
fof(f1292,plain,
( e10 = op1(e13,e13)
| ~ spl18_206 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1290,plain,
( spl18_206
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_206])]) ).
fof(f3207,plain,
( ~ spl18_223
| ~ spl18_242 ),
inference(avatar_split_clause,[],[f3206,f1479,f1384]) ).
fof(f1384,plain,
( spl18_223
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_223])]) ).
fof(f3206,plain,
( op1(e10,e10) != e13
| ~ spl18_242 ),
inference(forward_demodulation,[],[f136,f1481]) ).
fof(f136,plain,
op1(e10,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f3191,plain,
( ~ spl18_77
| ~ spl18_142 ),
inference(avatar_contradiction_clause,[],[f3190]) ).
fof(f3190,plain,
( $false
| ~ spl18_77
| ~ spl18_142 ),
inference(subsumption_resolution,[],[f2660,f997]) ).
fof(f997,plain,
( e20 = op2(e23,e20)
| ~ spl18_142 ),
inference(avatar_component_clause,[],[f995]) ).
fof(f995,plain,
( spl18_142
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_142])]) ).
fof(f2660,plain,
( e20 != op2(e23,e20)
| ~ spl18_77 ),
inference(forward_demodulation,[],[f315,f720]) ).
fof(f315,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3178,plain,
( ~ spl18_190
| spl18_269 ),
inference(avatar_contradiction_clause,[],[f3177]) ).
fof(f3177,plain,
( $false
| ~ spl18_190
| spl18_269 ),
inference(subsumption_resolution,[],[f3176,f1635]) ).
fof(f1635,plain,
( e22 != h1(e11)
| spl18_269 ),
inference(avatar_component_clause,[],[f1633]) ).
fof(f1633,plain,
( spl18_269
<=> e22 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_269])]) ).
fof(f3176,plain,
( e22 = h1(e11)
| ~ spl18_190 ),
inference(forward_demodulation,[],[f63,f1219]) ).
fof(f1219,plain,
( op2(e20,e20) = e22
| ~ spl18_190 ),
inference(avatar_component_clause,[],[f1217]) ).
fof(f1217,plain,
( spl18_190
<=> op2(e20,e20) = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_190])]) ).
fof(f3170,plain,
( ~ spl18_161
| ~ spl18_207
| ~ spl18_302 ),
inference(avatar_contradiction_clause,[],[f3169]) ).
fof(f3169,plain,
( $false
| ~ spl18_161
| ~ spl18_207
| ~ spl18_302 ),
inference(subsumption_resolution,[],[f3168,f259]) ).
fof(f259,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f3168,plain,
( e10 = e13
| ~ spl18_161
| ~ spl18_207
| ~ spl18_302 ),
inference(forward_demodulation,[],[f2997,f1083]) ).
fof(f2997,plain,
( op1(e10,e10) = e13
| ~ spl18_207
| ~ spl18_302 ),
inference(forward_demodulation,[],[f1865,f1296]) ).
fof(f1296,plain,
( e10 = op1(e11,e13)
| ~ spl18_207 ),
inference(avatar_component_clause,[],[f1294]) ).
fof(f1294,plain,
( spl18_207
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_207])]) ).
fof(f3089,plain,
( ~ spl18_166
| spl18_208
| ~ spl18_226 ),
inference(avatar_contradiction_clause,[],[f3088]) ).
fof(f3088,plain,
( $false
| ~ spl18_166
| spl18_208
| ~ spl18_226 ),
inference(subsumption_resolution,[],[f3086,f1300]) ).
fof(f1300,plain,
( e10 != op1(e11,e11)
| spl18_208 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f1299,plain,
( spl18_208
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_208])]) ).
fof(f3086,plain,
( e10 = op1(e11,e11)
| ~ spl18_166
| ~ spl18_226 ),
inference(backward_demodulation,[],[f1400,f1105]) ).
fof(f1400,plain,
( e10 = op1(op1(e11,e10),op1(e11,e10))
| ~ spl18_226 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1398,plain,
( spl18_226
<=> e10 = op1(op1(e11,e10),op1(e11,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_226])]) ).
fof(f3076,plain,
( spl18_224
| ~ spl18_182
| ~ spl18_290 ),
inference(avatar_split_clause,[],[f3075,f1788,f1175,f1388]) ).
fof(f1388,plain,
( spl18_224
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_224])]) ).
fof(f1175,plain,
( spl18_182
<=> e10 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_182])]) ).
fof(f1788,plain,
( spl18_290
<=> e12 = op1(op1(e12,e12),op1(e12,e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_290])]) ).
fof(f3075,plain,
( op1(e10,e10) = e12
| ~ spl18_182
| ~ spl18_290 ),
inference(forward_demodulation,[],[f1790,f1177]) ).
fof(f1177,plain,
( e10 = op1(e12,e12)
| ~ spl18_182 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f1790,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ spl18_290 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f3070,plain,
( ~ spl18_61
| spl18_101
| ~ spl18_315 ),
inference(avatar_contradiction_clause,[],[f3069]) ).
fof(f3069,plain,
( $false
| ~ spl18_61
| spl18_101
| ~ spl18_315 ),
inference(subsumption_resolution,[],[f3068,f819]) ).
fof(f819,plain,
( e20 != op2(e23,e23)
| spl18_101 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f818,plain,
( spl18_101
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_101])]) ).
fof(f3068,plain,
( e20 = op2(e23,e23)
| ~ spl18_61
| ~ spl18_315 ),
inference(forward_demodulation,[],[f1943,f649]) ).
fof(f649,plain,
( e23 = op2(e22,e20)
| ~ spl18_61 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl18_61
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_61])]) ).
fof(f1943,plain,
( e20 = op2(op2(e22,e20),op2(e22,e20))
| ~ spl18_315 ),
inference(avatar_component_clause,[],[f1941]) ).
fof(f1941,plain,
( spl18_315
<=> e20 = op2(op2(e22,e20),op2(e22,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_315])]) ).
fof(f3057,plain,
( ~ spl18_57
| ~ spl18_268 ),
inference(avatar_split_clause,[],[f3004,f1627,f630]) ).
fof(f1627,plain,
( spl18_268
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_268])]) ).
fof(f3004,plain,
( e23 != op2(e22,e22)
| ~ spl18_268 ),
inference(forward_demodulation,[],[f339,f1629]) ).
fof(f1629,plain,
( e23 = op2(e23,e22)
| ~ spl18_268 ),
inference(avatar_component_clause,[],[f1627]) ).
fof(f339,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f3044,plain,
( spl18_225
| ~ spl18_125
| ~ spl18_171 ),
inference(avatar_split_clause,[],[f2971,f1124,f918,f1393]) ).
fof(f2971,plain,
( op2(e20,e20) = e23
| ~ spl18_125
| ~ spl18_171 ),
inference(forward_demodulation,[],[f1126,f920]) ).
fof(f3043,plain,
( spl18_190
| ~ spl18_256
| ~ spl18_261 ),
inference(avatar_split_clause,[],[f3042,f1585,f1560,f1217]) ).
fof(f1560,plain,
( spl18_256
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_256])]) ).
fof(f1585,plain,
( spl18_261
<=> e22 = op2(op2(e20,e22),op2(e20,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_261])]) ).
fof(f3042,plain,
( op2(e20,e20) = e22
| ~ spl18_256
| ~ spl18_261 ),
inference(forward_demodulation,[],[f1587,f1562]) ).
fof(f1562,plain,
( e20 = op2(e20,e22)
| ~ spl18_256 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1587,plain,
( e22 = op2(op2(e20,e22),op2(e20,e22))
| ~ spl18_261 ),
inference(avatar_component_clause,[],[f1585]) ).
fof(f3022,plain,
( ~ spl18_62
| spl18_78
| ~ spl18_315 ),
inference(avatar_contradiction_clause,[],[f3021]) ).
fof(f3021,plain,
( $false
| ~ spl18_62
| spl18_78
| ~ spl18_315 ),
inference(subsumption_resolution,[],[f3020,f723]) ).
fof(f3020,plain,
( e20 = op2(e21,e21)
| ~ spl18_62
| ~ spl18_315 ),
inference(forward_demodulation,[],[f1943,f653]) ).
fof(f653,plain,
( e21 = op2(e22,e20)
| ~ spl18_62 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl18_62
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_62])]) ).
fof(f3017,plain,
( ~ spl18_102
| ~ spl18_268
| ~ spl18_291 ),
inference(avatar_contradiction_clause,[],[f3016]) ).
fof(f3016,plain,
( $false
| ~ spl18_102
| ~ spl18_268
| ~ spl18_291 ),
inference(subsumption_resolution,[],[f3015,f392]) ).
fof(f392,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f3015,plain,
( e21 = e22
| ~ spl18_102
| ~ spl18_268
| ~ spl18_291 ),
inference(forward_demodulation,[],[f3014,f824]) ).
fof(f3014,plain,
( e22 = op2(e23,e23)
| ~ spl18_268
| ~ spl18_291 ),
inference(forward_demodulation,[],[f1797,f1629]) ).
fof(f1797,plain,
( e22 = op2(op2(e23,e22),op2(e23,e22))
| ~ spl18_291 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1795,plain,
( spl18_291
<=> e22 = op2(op2(e23,e22),op2(e23,e22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_291])]) ).
fof(f3000,plain,
( ~ spl18_207
| ~ spl18_222
| spl18_245
| ~ spl18_302 ),
inference(avatar_contradiction_clause,[],[f2999]) ).
fof(f2999,plain,
( $false
| ~ spl18_207
| ~ spl18_222
| spl18_245
| ~ spl18_302 ),
inference(subsumption_resolution,[],[f2998,f1495]) ).
fof(f2998,plain,
( e11 = e13
| ~ spl18_207
| ~ spl18_222
| ~ spl18_302 ),
inference(forward_demodulation,[],[f2997,f1382]) ).
fof(f1382,plain,
( op1(e10,e10) = e11
| ~ spl18_222 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1380,plain,
( spl18_222
<=> op1(e10,e10) = e11 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_222])]) ).
fof(f2996,plain,
( ~ spl18_158
| ~ spl18_181 ),
inference(avatar_split_clause,[],[f2995,f1170,f1067]) ).
fof(f1170,plain,
( spl18_181
<=> e23 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_181])]) ).
fof(f2995,plain,
( e23 != op2(e23,e20)
| ~ spl18_181 ),
inference(forward_demodulation,[],[f1752,f1171]) ).
fof(f1171,plain,
( e23 = h1(e11)
| ~ spl18_181 ),
inference(avatar_component_clause,[],[f1170]) ).
fof(f1752,plain,
op2(e23,e20) != h1(e11),
inference(backward_demodulation,[],[f309,f63]) ).
fof(f309,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2993,plain,
( ~ spl18_158
| ~ spl18_268 ),
inference(avatar_split_clause,[],[f2992,f1627,f1067]) ).
fof(f2992,plain,
( e23 != op2(e23,e20)
| ~ spl18_268 ),
inference(forward_demodulation,[],[f328,f1629]) ).
fof(f328,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2989,plain,
( spl18_206
| ~ spl18_175
| ~ spl18_226 ),
inference(avatar_split_clause,[],[f2988,f1398,f1143,f1290]) ).
fof(f1143,plain,
( spl18_175
<=> e13 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_175])]) ).
fof(f2988,plain,
( e10 = op1(e13,e13)
| ~ spl18_175
| ~ spl18_226 ),
inference(forward_demodulation,[],[f1400,f1145]) ).
fof(f1145,plain,
( e13 = op1(e11,e10)
| ~ spl18_175 ),
inference(avatar_component_clause,[],[f1143]) ).
fof(f2902,plain,
( ~ spl18_154
| ~ spl18_214 ),
inference(avatar_split_clause,[],[f2901,f1329,f1049]) ).
fof(f1049,plain,
( spl18_154
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_154])]) ).
fof(f2901,plain,
( e21 != op2(e21,e23)
| ~ spl18_214 ),
inference(forward_demodulation,[],[f1641,f1330]) ).
fof(f1641,plain,
op2(e21,e23) != h4(e11),
inference(forward_demodulation,[],[f326,f352]) ).
fof(f352,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( e23 = h4(e13)
& op2(e23,op2(e23,e23)) = h4(e10)
& op2(op2(e23,op2(e23,e23)),e23) = h4(e12)
& op2(e23,e23) = h4(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f326,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2900,plain,
( ~ spl18_244
| ~ spl18_300 ),
inference(avatar_contradiction_clause,[],[f2899]) ).
fof(f2899,plain,
( $false
| ~ spl18_244
| ~ spl18_300 ),
inference(subsumption_resolution,[],[f2898,f264]) ).
fof(f2898,plain,
( e11 = e12
| ~ spl18_244
| ~ spl18_300 ),
inference(forward_demodulation,[],[f2897,f257]) ).
fof(f2897,plain,
( e12 = op1(e13,e13)
| ~ spl18_244
| ~ spl18_300 ),
inference(forward_demodulation,[],[f1852,f1492]) ).
fof(f2888,plain,
( ~ spl18_194
| ~ spl18_234 ),
inference(avatar_contradiction_clause,[],[f2887]) ).
fof(f2887,plain,
( $false
| ~ spl18_194
| ~ spl18_234 ),
inference(subsumption_resolution,[],[f2886,f393]) ).
fof(f393,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f2886,plain,
( e22 = e23
| ~ spl18_194
| ~ spl18_234 ),
inference(forward_demodulation,[],[f1439,f1237]) ).
fof(f1439,plain,
( e23 = op2(e20,e23)
| ~ spl18_234 ),
inference(avatar_component_clause,[],[f1437]) ).
fof(f1437,plain,
( spl18_234
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_234])]) ).
fof(f2885,plain,
( spl18_101
| ~ spl18_158
| ~ spl18_284 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2884,plain,
( $false
| spl18_101
| ~ spl18_158
| ~ spl18_284 ),
inference(subsumption_resolution,[],[f2883,f819]) ).
fof(f2883,plain,
( e20 = op2(e23,e23)
| ~ spl18_158
| ~ spl18_284 ),
inference(forward_demodulation,[],[f1726,f1069]) ).
fof(f1726,plain,
( e20 = op2(op2(e23,e20),op2(e23,e20))
| ~ spl18_284 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1724,plain,
( spl18_284
<=> e20 = op2(op2(e23,e20),op2(e23,e20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_284])]) ).
fof(f2842,plain,
( spl18_12
| ~ spl18_78 ),
inference(avatar_contradiction_clause,[],[f2841]) ).
fof(f2841,plain,
( $false
| spl18_12
| ~ spl18_78 ),
inference(subsumption_resolution,[],[f2840,f446]) ).
fof(f446,plain,
( e20 != h2(e11)
| spl18_12 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f444,plain,
( spl18_12
<=> e20 = h2(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_12])]) ).
fof(f2840,plain,
( e20 = h2(e11)
| ~ spl18_78 ),
inference(forward_demodulation,[],[f397,f724]) ).
fof(f724,plain,
( e20 = op2(e21,e21)
| ~ spl18_78 ),
inference(avatar_component_clause,[],[f722]) ).
fof(f2829,plain,
( ~ spl18_160
| spl18_224
| ~ spl18_307 ),
inference(avatar_contradiction_clause,[],[f2828]) ).
fof(f2828,plain,
( $false
| ~ spl18_160
| spl18_224
| ~ spl18_307 ),
inference(subsumption_resolution,[],[f2827,f1389]) ).
fof(f1389,plain,
( op1(e10,e10) != e12
| spl18_224 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f2827,plain,
( op1(e10,e10) = e12
| ~ spl18_160
| ~ spl18_307 ),
inference(forward_demodulation,[],[f1895,f1079]) ).
fof(f1079,plain,
( e10 = op1(e10,e12)
| ~ spl18_160 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1077,plain,
( spl18_160
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_160])]) ).
fof(f2792,plain,
( ~ spl18_212
| ~ spl18_264 ),
inference(avatar_contradiction_clause,[],[f2791]) ).
fof(f2791,plain,
( $false
| ~ spl18_212
| ~ spl18_264 ),
inference(subsumption_resolution,[],[f2790,f1320]) ).
fof(f1320,plain,
( e21 = op2(e20,e21)
| ~ spl18_212 ),
inference(avatar_component_clause,[],[f1318]) ).
fof(f1318,plain,
( spl18_212
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_212])]) ).
fof(f2790,plain,
( e21 != op2(e20,e21)
| ~ spl18_264 ),
inference(forward_demodulation,[],[f1751,f1605]) ).
fof(f1605,plain,
( e21 = h1(e11)
| ~ spl18_264 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1604,plain,
( spl18_264
<=> e21 = h1(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_264])]) ).
fof(f1751,plain,
op2(e20,e21) != h1(e11),
inference(backward_demodulation,[],[f329,f63]) ).
fof(f329,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2760,plain,
( ~ spl18_195
| ~ spl18_194 ),
inference(avatar_split_clause,[],[f2514,f1235,f1240]) ).
fof(f1240,plain,
( spl18_195
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_195])]) ).
fof(f2514,plain,
( e22 != op2(e20,e21)
| ~ spl18_194 ),
inference(forward_demodulation,[],[f341,f1237]) ).
fof(f341,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2759,plain,
( spl18_264
| ~ spl18_136 ),
inference(avatar_split_clause,[],[f2758,f966,f1604]) ).
fof(f966,plain,
( spl18_136
<=> op2(e20,e20) = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_136])]) ).
fof(f2758,plain,
( e21 = h1(e11)
| ~ spl18_136 ),
inference(forward_demodulation,[],[f63,f968]) ).
fof(f968,plain,
( op2(e20,e20) = e21
| ~ spl18_136 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f2749,plain,
( ~ spl18_176
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f2748,f613,f1147]) ).
fof(f1147,plain,
( spl18_176
<=> e12 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_176])]) ).
fof(f613,plain,
( spl18_53
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_53])]) ).
fof(f2748,plain,
( e12 != op1(e11,e10)
| ~ spl18_53 ),
inference(forward_demodulation,[],[f107,f615]) ).
fof(f615,plain,
( e12 = op1(e13,e10)
| ~ spl18_53 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f107,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2717,plain,
( ~ spl18_56
| ~ spl18_266 ),
inference(avatar_split_clause,[],[f2716,f1617,f626]) ).
fof(f626,plain,
( spl18_56
<=> e22 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_56])]) ).
fof(f2716,plain,
( e22 != op2(e22,e22)
| ~ spl18_266 ),
inference(backward_demodulation,[],[f339,f1619]) ).
fof(f2715,plain,
( ~ spl18_176
| ~ spl18_165 ),
inference(avatar_split_clause,[],[f2256,f1098,f1147]) ).
fof(f2256,plain,
( e12 != op1(e11,e10)
| ~ spl18_165 ),
inference(forward_demodulation,[],[f126,f1100]) ).
fof(f126,plain,
op1(e11,e10) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2711,plain,
( ~ spl18_277
| ~ spl18_125
| ~ spl18_294 ),
inference(avatar_split_clause,[],[f2707,f1825,f918,f1686]) ).
fof(f1686,plain,
( spl18_277
<=> e20 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_277])]) ).
fof(f1825,plain,
( spl18_294
<=> op2(e22,e22) = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_294])]) ).
fof(f2707,plain,
( e20 != h3(e11)
| ~ spl18_125
| ~ spl18_294 ),
inference(backward_demodulation,[],[f2630,f920]) ).
fof(f2630,plain,
( op2(e22,e23) != h3(e11)
| ~ spl18_294 ),
inference(backward_demodulation,[],[f311,f1826]) ).
fof(f1826,plain,
( op2(e22,e22) = h3(e11)
| ~ spl18_294 ),
inference(avatar_component_clause,[],[f1825]) ).
fof(f311,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2696,plain,
( ~ spl18_102
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f2695]) ).
fof(f2695,plain,
( $false
| ~ spl18_102
| ~ spl18_103 ),
inference(subsumption_resolution,[],[f2694,f388]) ).
fof(f2694,plain,
( e21 = e23
| ~ spl18_102
| ~ spl18_103 ),
inference(forward_demodulation,[],[f828,f824]) ).
fof(f828,plain,
( e23 = op2(e23,e23)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f826,plain,
( spl18_103
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_103])]) ).
fof(f2674,plain,
( ~ spl18_54
| ~ spl18_229 ),
inference(avatar_split_clause,[],[f2673,f1414,f617]) ).
fof(f2673,plain,
( e12 != op1(e13,e12)
| ~ spl18_229 ),
inference(forward_demodulation,[],[f99,f1416]) ).
fof(f1416,plain,
( e12 = op1(e12,e12)
| ~ spl18_229 ),
inference(avatar_component_clause,[],[f1414]) ).
fof(f2666,plain,
( ~ spl18_219
| ~ spl18_177 ),
inference(avatar_split_clause,[],[f2665,f1152,f1363]) ).
fof(f1152,plain,
( spl18_177
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_177])]) ).
fof(f2665,plain,
( e22 != h2(e11)
| ~ spl18_177 ),
inference(backward_demodulation,[],[f975,f1154]) ).
fof(f1154,plain,
( e22 = op2(e22,e21)
| ~ spl18_177 ),
inference(avatar_component_clause,[],[f1152]) ).
fof(f975,plain,
op2(e22,e21) != h2(e11),
inference(backward_demodulation,[],[f304,f397]) ).
fof(f304,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2609,plain,
( ~ spl18_76
| ~ spl18_77 ),
inference(avatar_split_clause,[],[f2608,f718,f714]) ).
fof(f714,plain,
( spl18_76
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_76])]) ).
fof(f2608,plain,
( e20 != op2(e22,e21)
| ~ spl18_77 ),
inference(forward_demodulation,[],[f312,f720]) ).
fof(f312,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2607,plain,
( ~ spl18_159
| spl18_182
| ~ spl18_230 ),
inference(avatar_contradiction_clause,[],[f2606]) ).
fof(f2606,plain,
( $false
| ~ spl18_159
| spl18_182
| ~ spl18_230 ),
inference(subsumption_resolution,[],[f2605,f1176]) ).
fof(f1176,plain,
( e10 != op1(e12,e12)
| spl18_182 ),
inference(avatar_component_clause,[],[f1175]) ).
fof(f2605,plain,
( e10 = op1(e12,e12)
| ~ spl18_159
| ~ spl18_230 ),
inference(forward_demodulation,[],[f1074,f1420]) ).
fof(f1074,plain,
( e10 = op1(op1(e12,e10),op1(e12,e10))
| ~ spl18_159 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1072,plain,
( spl18_159
<=> e10 = op1(op1(e12,e10),op1(e12,e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_159])]) ).
fof(f2591,plain,
( ~ spl18_200
| ~ spl18_214 ),
inference(avatar_split_clause,[],[f2590,f1329,f1262]) ).
fof(f1262,plain,
( spl18_200
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_200])]) ).
fof(f2590,plain,
( e21 != op2(e23,e22)
| ~ spl18_214 ),
inference(forward_demodulation,[],[f1402,f1330]) ).
fof(f1402,plain,
op2(e23,e22) != h4(e11),
inference(forward_demodulation,[],[f337,f352]) ).
fof(f337,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2587,plain,
( ~ spl18_58
| ~ spl18_256 ),
inference(avatar_split_clause,[],[f2586,f1560,f634]) ).
fof(f634,plain,
( spl18_58
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_58])]) ).
fof(f2586,plain,
( e20 != op2(e22,e22)
| ~ spl18_256 ),
inference(forward_demodulation,[],[f305,f1562]) ).
fof(f305,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2558,plain,
( spl18_181
| ~ spl18_225 ),
inference(avatar_split_clause,[],[f2540,f1393,f1170]) ).
fof(f2540,plain,
( e23 = h1(e11)
| ~ spl18_225 ),
inference(forward_demodulation,[],[f63,f1395]) ).
fof(f1395,plain,
( op2(e20,e20) = e23
| ~ spl18_225 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f2539,plain,
( ~ spl18_209
| ~ spl18_243 ),
inference(avatar_contradiction_clause,[],[f2538]) ).
fof(f2538,plain,
( $false
| ~ spl18_209
| ~ spl18_243 ),
inference(subsumption_resolution,[],[f2537,f259]) ).
fof(f2537,plain,
( e10 = e13
| ~ spl18_209
| ~ spl18_243 ),
inference(forward_demodulation,[],[f1488,f1305]) ).
fof(f1488,plain,
( e13 = op1(e13,e11)
| ~ spl18_243 ),
inference(avatar_component_clause,[],[f1486]) ).
fof(f1486,plain,
( spl18_243
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_243])]) ).
fof(f2527,plain,
( ~ spl18_279
| ~ spl18_214 ),
inference(avatar_split_clause,[],[f2526,f1329,f1697]) ).
fof(f1697,plain,
( spl18_279
<=> e21 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_279])]) ).
fof(f2526,plain,
( e21 != op2(e22,e23)
| ~ spl18_214 ),
inference(forward_demodulation,[],[f1762,f1330]) ).
fof(f1762,plain,
op2(e22,e23) != h4(e11),
inference(forward_demodulation,[],[f321,f352]) ).
fof(f321,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2503,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2502]) ).
fof(f2502,plain,
( $false
| ~ spl18_77
| ~ spl18_79 ),
inference(subsumption_resolution,[],[f2501,f728]) ).
fof(f728,plain,
( e20 = op2(e20,e21)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f726]) ).
fof(f726,plain,
( spl18_79
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_79])]) ).
fof(f2501,plain,
( e20 != op2(e20,e21)
| ~ spl18_77 ),
inference(forward_demodulation,[],[f331,f720]) ).
fof(f331,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2498,plain,
( ~ spl18_69
| ~ spl18_139
| spl18_245 ),
inference(avatar_contradiction_clause,[],[f2497]) ).
fof(f2497,plain,
( $false
| ~ spl18_69
| ~ spl18_139
| spl18_245 ),
inference(subsumption_resolution,[],[f2496,f1495]) ).
fof(f2496,plain,
( e11 = e13
| ~ spl18_69
| ~ spl18_139 ),
inference(forward_demodulation,[],[f2495,f257]) ).
fof(f2495,plain,
( e13 = op1(e13,e13)
| ~ spl18_69
| ~ spl18_139 ),
inference(forward_demodulation,[],[f983,f685]) ).
fof(f983,plain,
( e13 = op1(op1(e12,e13),op1(e12,e13))
| ~ spl18_139 ),
inference(avatar_component_clause,[],[f981]) ).
fof(f981,plain,
( spl18_139
<=> e13 = op1(op1(e12,e13),op1(e12,e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_139])]) ).
fof(f2479,plain,
( ~ spl18_49
| ~ spl18_77 ),
inference(avatar_contradiction_clause,[],[f2478]) ).
fof(f2478,plain,
( $false
| ~ spl18_49
| ~ spl18_77 ),
inference(subsumption_resolution,[],[f2477,f391]) ).
fof(f2477,plain,
( e20 = e23
| ~ spl18_49
| ~ spl18_77 ),
inference(backward_demodulation,[],[f598,f720]) ).
fof(f598,plain,
( e23 = op2(e23,e21)
| ~ spl18_49 ),
inference(avatar_component_clause,[],[f596]) ).
fof(f596,plain,
( spl18_49
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_49])]) ).
fof(f2461,plain,
( spl18_277
| ~ spl18_58
| ~ spl18_294 ),
inference(avatar_split_clause,[],[f2460,f1825,f634,f1686]) ).
fof(f2460,plain,
( e20 = h3(e11)
| ~ spl18_58
| ~ spl18_294 ),
inference(forward_demodulation,[],[f1826,f636]) ).
fof(f636,plain,
( e20 = op2(e22,e22)
| ~ spl18_58 ),
inference(avatar_component_clause,[],[f634]) ).
fof(f2459,plain,
( ~ spl18_101
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f2458]) ).
fof(f2458,plain,
( $false
| ~ spl18_101
| ~ spl18_102 ),
inference(subsumption_resolution,[],[f2457,f389]) ).
fof(f389,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f2457,plain,
( e20 = e21
| ~ spl18_101
| ~ spl18_102 ),
inference(backward_demodulation,[],[f824,f820]) ).
fof(f820,plain,
( e20 = op2(e23,e23)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f818]) ).
fof(f2456,plain,
( ~ spl18_144
| ~ spl18_146 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2455,plain,
( $false
| ~ spl18_144
| ~ spl18_146 ),
inference(subsumption_resolution,[],[f2454,f262]) ).
fof(f262,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2454,plain,
( e10 = e12
| ~ spl18_144
| ~ spl18_146 ),
inference(forward_demodulation,[],[f1014,f1006]) ).
fof(f1006,plain,
( e10 = op1(e10,e13)
| ~ spl18_144 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1004,plain,
( spl18_144
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_144])]) ).
fof(f2431,plain,
( ~ spl18_178
| ~ spl18_194 ),
inference(avatar_contradiction_clause,[],[f2430]) ).
fof(f2430,plain,
( $false
| ~ spl18_178
| ~ spl18_194 ),
inference(subsumption_resolution,[],[f2429,f1237]) ).
fof(f2429,plain,
( e22 != op2(e20,e23)
| ~ spl18_178 ),
inference(forward_demodulation,[],[f345,f1158]) ).
fof(f1158,plain,
( e22 = op2(e22,e23)
| ~ spl18_178 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1156,plain,
( spl18_178
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_178])]) ).
fof(f345,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2390,plain,
( ~ spl18_77
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f2389,f991,f718]) ).
fof(f991,plain,
( spl18_141
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_141])]) ).
fof(f2389,plain,
( e20 != op2(e23,e21)
| ~ spl18_141 ),
inference(forward_demodulation,[],[f333,f993]) ).
fof(f993,plain,
( e20 = op2(e23,e22)
| ~ spl18_141 ),
inference(avatar_component_clause,[],[f991]) ).
fof(f333,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2373,plain,
( ~ spl18_127
| ~ spl18_194 ),
inference(avatar_contradiction_clause,[],[f2372]) ).
fof(f2372,plain,
( $false
| ~ spl18_127
| ~ spl18_194 ),
inference(subsumption_resolution,[],[f2371,f390]) ).
fof(f390,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f2371,plain,
( e20 = e22
| ~ spl18_127
| ~ spl18_194 ),
inference(backward_demodulation,[],[f1237,f928]) ).
fof(f928,plain,
( e20 = op2(e20,e23)
| ~ spl18_127 ),
inference(avatar_component_clause,[],[f926]) ).
fof(f926,plain,
( spl18_127
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_127])]) ).
fof(f2366,plain,
( ~ spl18_174
| ~ spl18_198 ),
inference(avatar_split_clause,[],[f2365,f1253,f1139]) ).
fof(f1139,plain,
( spl18_174
<=> e10 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_174])]) ).
fof(f2365,plain,
( e10 != op1(e11,e10)
| ~ spl18_198 ),
inference(forward_demodulation,[],[f117,f1255]) ).
fof(f117,plain,
op1(e11,e10) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2348,plain,
( spl18_206
| ~ spl18_67
| ~ spl18_159 ),
inference(avatar_split_clause,[],[f2346,f1072,f675,f1290]) ).
fof(f675,plain,
( spl18_67
<=> e13 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_67])]) ).
fof(f2346,plain,
( e10 = op1(e13,e13)
| ~ spl18_67
| ~ spl18_159 ),
inference(backward_demodulation,[],[f1074,f677]) ).
fof(f677,plain,
( e13 = op1(e12,e10)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f2345,plain,
( ~ spl18_174
| ~ spl18_207 ),
inference(avatar_split_clause,[],[f2344,f1294,f1139]) ).
fof(f2344,plain,
( e10 != op1(e11,e10)
| ~ spl18_207 ),
inference(forward_demodulation,[],[f106,f1296]) ).
fof(f106,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2318,plain,
( spl18_75
| ~ spl18_199
| ~ spl18_261 ),
inference(avatar_split_clause,[],[f2317,f1585,f1258,f709]) ).
fof(f2317,plain,
( e22 = op2(e21,e21)
| ~ spl18_199
| ~ spl18_261 ),
inference(backward_demodulation,[],[f1587,f1260]) ).
fof(f2303,plain,
( spl18_77
| ~ spl18_214 ),
inference(avatar_split_clause,[],[f2300,f1329,f718]) ).
fof(f2300,plain,
( e20 = op2(e23,e21)
| ~ spl18_214 ),
inference(backward_demodulation,[],[f1551,f1330]) ).
fof(f1551,plain,
e20 = op2(e23,h4(e11)),
inference(forward_demodulation,[],[f351,f352]) ).
fof(f351,plain,
e20 = op2(e23,op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(e23,op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(op2(e23,op2(e23,e23)),e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f2295,plain,
( ~ spl18_131
| ~ spl18_207 ),
inference(avatar_split_clause,[],[f2294,f1294,f944]) ).
fof(f2294,plain,
( e10 != op1(e12,e13)
| ~ spl18_207 ),
inference(forward_demodulation,[],[f142,f1296]) ).
fof(f142,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2244,plain,
( ~ spl18_60
| ~ spl18_62 ),
inference(avatar_contradiction_clause,[],[f2243]) ).
fof(f2243,plain,
( $false
| ~ spl18_60
| ~ spl18_62 ),
inference(subsumption_resolution,[],[f2242,f389]) ).
fof(f2242,plain,
( e20 = e21
| ~ spl18_60
| ~ spl18_62 ),
inference(forward_demodulation,[],[f653,f645]) ).
fof(f645,plain,
( e20 = op2(e22,e20)
| ~ spl18_60 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f2240,plain,
( ~ spl18_219
| ~ spl18_73 ),
inference(avatar_split_clause,[],[f2239,f701,f1363]) ).
fof(f701,plain,
( spl18_73
<=> e22 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_73])]) ).
fof(f2239,plain,
( e22 != h2(e11)
| ~ spl18_73 ),
inference(forward_demodulation,[],[f1753,f703]) ).
fof(f703,plain,
( e22 = op2(e21,e20)
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f701]) ).
fof(f1753,plain,
op2(e21,e20) != h2(e11),
inference(forward_demodulation,[],[f308,f397]) ).
fof(f308,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2221,plain,
( spl18_146
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2011,f1303,f1012]) ).
fof(f2011,plain,
( e12 = op1(e10,e13)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f1799,f1305]) ).
fof(f1799,plain,
e12 = op1(op1(e13,e11),e13),
inference(forward_demodulation,[],[f258,f257]) ).
fof(f258,plain,
e12 = op1(op1(e13,op1(e13,e13)),e13),
inference(cnf_transformation,[],[f12]) ).
fof(f2217,plain,
( ~ spl18_145
| ~ spl18_146 ),
inference(avatar_contradiction_clause,[],[f2216]) ).
fof(f2216,plain,
( $false
| ~ spl18_145
| ~ spl18_146 ),
inference(subsumption_resolution,[],[f2215,f260]) ).
fof(f260,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2215,plain,
( e12 = e13
| ~ spl18_145
| ~ spl18_146 ),
inference(forward_demodulation,[],[f1010,f1014]) ).
fof(f1010,plain,
( e13 = op1(e10,e13)
| ~ spl18_145 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1008,plain,
( spl18_145
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_145])]) ).
fof(f2193,plain,
( ~ spl18_214
| ~ spl18_135 ),
inference(avatar_split_clause,[],[f2190,f962,f1329]) ).
fof(f962,plain,
( spl18_135
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_135])]) ).
fof(f2190,plain,
( e21 != h4(e11)
| ~ spl18_135 ),
inference(backward_demodulation,[],[f1642,f964]) ).
fof(f964,plain,
( e21 = op2(e23,e20)
| ~ spl18_135 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f1642,plain,
op2(e23,e20) != h4(e11),
inference(forward_demodulation,[],[f338,f352]) ).
fof(f338,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2159,plain,
( spl18_208
| ~ spl18_134
| ~ spl18_159 ),
inference(avatar_split_clause,[],[f2158,f1072,f957,f1299]) ).
fof(f957,plain,
( spl18_134
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_134])]) ).
fof(f2158,plain,
( e10 = op1(e11,e11)
| ~ spl18_134
| ~ spl18_159 ),
inference(forward_demodulation,[],[f1074,f959]) ).
fof(f959,plain,
( e11 = op1(e12,e10)
| ~ spl18_134 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f2154,plain,
( ~ spl18_53
| ~ spl18_242 ),
inference(avatar_contradiction_clause,[],[f2153]) ).
fof(f2153,plain,
( $false
| ~ spl18_53
| ~ spl18_242 ),
inference(subsumption_resolution,[],[f2152,f260]) ).
fof(f2152,plain,
( e12 = e13
| ~ spl18_53
| ~ spl18_242 ),
inference(backward_demodulation,[],[f1481,f615]) ).
fof(f2151,plain,
( spl18_246
| ~ spl18_194
| ~ spl18_237 ),
inference(avatar_split_clause,[],[f2150,f1452,f1235,f1502]) ).
fof(f2150,plain,
( e22 = h4(e12)
| ~ spl18_194
| ~ spl18_237 ),
inference(forward_demodulation,[],[f2148,f1237]) ).
fof(f2148,plain,
( op2(e20,e23) = h4(e12)
| ~ spl18_237 ),
inference(backward_demodulation,[],[f1378,f1453]) ).
fof(f1378,plain,
h4(e12) = op2(h4(e10),e23),
inference(forward_demodulation,[],[f1377,f834]) ).
fof(f834,plain,
h4(e10) = op2(e23,h4(e11)),
inference(backward_demodulation,[],[f354,f352]) ).
fof(f354,plain,
op2(e23,op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f1377,plain,
h4(e12) = op2(op2(e23,h4(e11)),e23),
inference(forward_demodulation,[],[f353,f352]) ).
fof(f353,plain,
op2(op2(e23,op2(e23,e23)),e23) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f2142,plain,
( ~ spl18_244
| ~ spl18_242 ),
inference(avatar_split_clause,[],[f2140,f1479,f1490]) ).
fof(f2140,plain,
( e13 != op1(e13,e12)
| ~ spl18_242 ),
inference(backward_demodulation,[],[f105,f1481]) ).
fof(f105,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2131,plain,
( spl18_214
| ~ spl18_102 ),
inference(avatar_split_clause,[],[f2130,f822,f1329]) ).
fof(f2130,plain,
( e21 = h4(e11)
| ~ spl18_102 ),
inference(backward_demodulation,[],[f352,f824]) ).
fof(f2119,plain,
( ~ spl18_242
| ~ spl18_175 ),
inference(avatar_split_clause,[],[f2116,f1143,f1479]) ).
fof(f2116,plain,
( e13 != op1(e13,e10)
| ~ spl18_175 ),
inference(backward_demodulation,[],[f107,f1145]) ).
fof(f2075,plain,
( ~ spl18_70
| ~ spl18_68 ),
inference(avatar_split_clause,[],[f2072,f679,f687]) ).
fof(f679,plain,
( spl18_68
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_68])]) ).
fof(f2072,plain,
( e13 != op1(e12,e12)
| ~ spl18_68 ),
inference(backward_demodulation,[],[f98,f681]) ).
fof(f681,plain,
( e13 = op1(e12,e11)
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f98,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2061,plain,
( ~ spl18_183
| ~ spl18_131 ),
inference(avatar_split_clause,[],[f2054,f944,f1179]) ).
fof(f1179,plain,
( spl18_183
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_183])]) ).
fof(f2054,plain,
( e10 != op1(e12,e10)
| ~ spl18_131 ),
inference(backward_demodulation,[],[f131,f946]) ).
fof(f131,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2058,plain,
( ~ spl18_182
| ~ spl18_131 ),
inference(avatar_split_clause,[],[f2055,f944,f1175]) ).
fof(f2055,plain,
( e10 != op1(e12,e12)
| ~ spl18_131 ),
inference(backward_demodulation,[],[f97,f946]) ).
fof(f2045,plain,
( ~ spl18_196
| ~ spl18_194 ),
inference(avatar_split_clause,[],[f2038,f1235,f1244]) ).
fof(f1244,plain,
( spl18_196
<=> e22 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_196])]) ).
fof(f2038,plain,
( e22 != op2(e20,e22)
| ~ spl18_194 ),
inference(backward_demodulation,[],[f335,f1237]) ).
fof(f335,plain,
op2(e20,e22) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2042,plain,
( ~ spl18_74
| ~ spl18_194 ),
inference(avatar_split_clause,[],[f2040,f1235,f705]) ).
fof(f705,plain,
( spl18_74
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_74])]) ).
fof(f2040,plain,
( e22 != op2(e21,e23)
| ~ spl18_194 ),
inference(backward_demodulation,[],[f334,f1237]) ).
fof(f334,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2041,plain,
( ~ spl18_269
| ~ spl18_194 ),
inference(avatar_split_clause,[],[f2037,f1235,f1633]) ).
fof(f2037,plain,
( e22 != h1(e11)
| ~ spl18_194 ),
inference(backward_demodulation,[],[f1785,f1237]) ).
fof(f1785,plain,
op2(e20,e23) != h1(e11),
inference(forward_demodulation,[],[f323,f63]) ).
fof(f323,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2030,plain,
( ~ spl18_280
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f2023,f630,f1702]) ).
fof(f2023,plain,
( e23 != op2(e22,e23)
| ~ spl18_57 ),
inference(backward_demodulation,[],[f311,f632]) ).
fof(f632,plain,
( e23 = op2(e22,e22)
| ~ spl18_57 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f2029,plain,
( ~ spl18_48
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f2026,f630,f592]) ).
fof(f592,plain,
( spl18_48
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_48])]) ).
fof(f2026,plain,
( e23 != op2(e22,e21)
| ~ spl18_57 ),
inference(backward_demodulation,[],[f346,f632]) ).
fof(f346,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2028,plain,
( ~ spl18_233
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f2022,f630,f1433]) ).
fof(f1433,plain,
( spl18_233
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_233])]) ).
fof(f2022,plain,
( e23 != op2(e20,e22)
| ~ spl18_57 ),
inference(backward_demodulation,[],[f305,f632]) ).
fof(f2020,plain,
( ~ spl18_208
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2012,f1303,f1299]) ).
fof(f2012,plain,
( e10 != op1(e11,e11)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f120,f1305]) ).
fof(f120,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2019,plain,
( ~ spl18_239
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2010,f1303,f1463]) ).
fof(f1463,plain,
( spl18_239
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_239])]) ).
fof(f2010,plain,
( e10 != op1(e13,e10)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f100,f1305]) ).
fof(f100,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2018,plain,
( ~ spl18_184
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2013,f1303,f1183]) ).
fof(f1183,plain,
( spl18_184
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_184])]) ).
fof(f2013,plain,
( e10 != op1(e12,e11)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f123,f1305]) ).
fof(f123,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2017,plain,
( ~ spl18_197
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2014,f1303,f1249]) ).
fof(f1249,plain,
( spl18_197
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_197])]) ).
fof(f2014,plain,
( e10 != op1(e13,e12)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f121,f1305]) ).
fof(f121,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2016,plain,
( ~ spl18_162
| ~ spl18_209 ),
inference(avatar_split_clause,[],[f2015,f1303,f1085]) ).
fof(f1085,plain,
( spl18_162
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_162])]) ).
fof(f2015,plain,
( e10 != op1(e10,e11)
| ~ spl18_209 ),
inference(backward_demodulation,[],[f109,f1305]) ).
fof(f109,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2004,plain,
( ~ spl18_77
| ~ spl18_12 ),
inference(avatar_split_clause,[],[f1998,f444,f718]) ).
fof(f1998,plain,
( e20 != op2(e23,e21)
| ~ spl18_12 ),
inference(backward_demodulation,[],[f1602,f445]) ).
fof(f445,plain,
( e20 = h2(e11)
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f1602,plain,
op2(e23,e21) != h2(e11),
inference(forward_demodulation,[],[f316,f397]) ).
fof(f316,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f1992,plain,
( ~ spl18_129
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f1986,f1012,f936]) ).
fof(f936,plain,
( spl18_129
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_129])]) ).
fof(f1986,plain,
( e12 != op1(e12,e13)
| ~ spl18_146 ),
inference(backward_demodulation,[],[f132,f1014]) ).
fof(f132,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1990,plain,
( ~ spl18_204
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f1984,f1012,f1281]) ).
fof(f1281,plain,
( spl18_204
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_204])]) ).
fof(f1984,plain,
( e12 != op1(e10,e12)
| ~ spl18_146 ),
inference(backward_demodulation,[],[f125,f1014]) ).
fof(f125,plain,
op1(e10,e12) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1989,plain,
( ~ spl18_224
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f1987,f1012,f1388]) ).
fof(f1987,plain,
( op1(e10,e10) != e12
| ~ spl18_146 ),
inference(backward_demodulation,[],[f137,f1014]) ).
fof(f137,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1981,plain,
( ~ spl18_181
| ~ spl18_47 ),
inference(avatar_split_clause,[],[f1972,f588,f1170]) ).
fof(f1972,plain,
( e23 != h1(e11)
| ~ spl18_47 ),
inference(backward_demodulation,[],[f1751,f590]) ).
fof(f1944,plain,
( spl18_169
| spl18_170
| spl18_315
| spl18_124 ),
inference(avatar_split_clause,[],[f157,f913,f1941,f1120,f1116]) ).
fof(f1116,plain,
( spl18_169
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_169])]) ).
fof(f1120,plain,
( spl18_170
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_170])]) ).
fof(f913,plain,
( spl18_124
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_124])]) ).
fof(f157,plain,
( sP0
| e20 = op2(op2(e22,e20),op2(e22,e20))
| sP1
| sP2 ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
( ( e23 = op2(op2(e22,e23),op2(e22,e23))
& e22 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e20),op2(e22,e20))
& e21 = op2(op2(e22,e21),op2(e22,e21)) )
| sP2
| sP1
| sP0 ),
inference(definition_folding,[],[f11,f23,f22,f21]) ).
fof(f21,plain,
( ( e21 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e20,e23),op2(e20,e23))
& e20 = op2(op2(e20,e20),op2(e20,e20)) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e22 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e21,e20),op2(e21,e20))
& e23 = op2(op2(e21,e23),op2(e21,e23))
& e21 = op2(op2(e21,e21),op2(e21,e21)) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e23,e21),op2(e23,e21))
& e22 = op2(op2(e23,e22),op2(e23,e22))
& e20 = op2(op2(e23,e20),op2(e23,e20)) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f11,axiom,
( ( e23 = op2(op2(e22,e23),op2(e22,e23))
& e22 = op2(op2(e22,e22),op2(e22,e22))
& e20 = op2(op2(e22,e20),op2(e22,e20))
& e21 = op2(op2(e22,e21),op2(e22,e21)) )
| ( e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e23,e21),op2(e23,e21))
& e22 = op2(op2(e23,e22),op2(e23,e22))
& e20 = op2(op2(e23,e20),op2(e23,e20)) )
| ( e22 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e21,e20),op2(e21,e20))
& e23 = op2(op2(e21,e23),op2(e21,e23))
& e21 = op2(op2(e21,e21),op2(e21,e21)) )
| ( e21 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e20,e23),op2(e20,e23))
& e20 = op2(op2(e20,e20),op2(e20,e20)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1896,plain,
( ~ spl18_186
| spl18_307 ),
inference(avatar_split_clause,[],[f165,f1893,f1194]) ).
fof(f1194,plain,
( spl18_186
<=> sP4 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_186])]) ).
fof(f165,plain,
( e12 = op1(op1(e10,e12),op1(e10,e12))
| ~ sP4 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e11 = op1(op1(e10,e11),op1(e10,e11))
& e10 = op1(op1(e10,e10),op1(e10,e10))
& e12 = op1(op1(e10,e12),op1(e10,e12))
& e13 = op1(op1(e10,e13),op1(e10,e13)) )
| ~ sP4 ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
( ( e11 = op1(op1(e10,e11),op1(e10,e11))
& e10 = op1(op1(e10,e10),op1(e10,e10))
& e12 = op1(op1(e10,e12),op1(e10,e12))
& e13 = op1(op1(e10,e13),op1(e10,e13)) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1886,plain,
( spl18_230
| spl18_224
| spl18_53
| spl18_176 ),
inference(avatar_split_clause,[],[f76,f1147,f613,f1388,f1418]) ).
fof(f76,plain,
( e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e13,e12)
| e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12) )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| op1(e10,e10) = e11
| e11 = op1(e10,e11) )
& ( e11 = op1(e13,e12)
| e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12) )
& ( e13 = op1(e12,e11)
| e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e12) )
& ( op1(e10,e10) = e13
| e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| e13 = op1(e10,e11) )
& ( e13 = op1(e13,e13)
| e13 = op1(e13,e12)
| e13 = op1(e13,e11)
| e13 = op1(e13,e10) )
& ( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) )
& ( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12) )
& ( e10 = op1(e11,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10)
| e11 = op1(e11,e13) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e10)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12) )
& ( e11 = op1(e13,e13)
| e11 = op1(e13,e11)
| e11 = op1(e13,e10)
| e11 = op1(e13,e12) )
& ( e10 = op1(e10,e10)
| e10 = op1(e12,e10)
| e10 = op1(e11,e10)
| e10 = op1(e13,e10) )
& ( e12 = op1(e11,e12)
| e12 = op1(e11,e10)
| e12 = op1(e11,e13)
| e12 = op1(e11,e11) )
& ( e10 = op1(e13,e13)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e10) )
& ( e12 = op1(e12,e11)
| e12 = op1(e11,e11)
| e12 = op1(e10,e11)
| e12 = op1(e13,e11) )
& ( op1(e10,e10) = e13
| e13 = op1(e12,e10)
| e13 = op1(e11,e10)
| e13 = op1(e13,e10) )
& ( e12 = op1(e13,e10)
| op1(e10,e10) = e12
| e12 = op1(e12,e10)
| e12 = op1(e11,e10) )
& ( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) )
& ( e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e11,e11)
| e11 = op1(e10,e11) )
& ( e12 = op1(e13,e10)
| e12 = op1(e13,e13)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12) )
& ( e11 = op1(e12,e13)
| e11 = op1(e13,e13)
| e11 = op1(e10,e13)
| e11 = op1(e11,e13) )
& ( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e10,e12)
| e13 = op1(e11,e12) )
& ( op1(e10,e10) = e11
| e11 = op1(e13,e10)
| e11 = op1(e11,e10)
| e11 = op1(e12,e10) )
& ( e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e11)
| e11 = op1(e12,e10) )
& ( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) )
& ( e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e13)
| e10 = op1(e11,e10) )
& ( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) )
& ( e10 = op1(e12,e13)
| e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12) )
& ( e13 = op1(e11,e11)
| e13 = op1(e12,e11)
| e13 = op1(e13,e11)
| e13 = op1(e10,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1885,plain,
~ spl18_245,
inference(avatar_split_clause,[],[f263,f1494]) ).
fof(f263,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1873,plain,
spl18_294,
inference(avatar_split_clause,[],[f297,f1825]) ).
fof(f297,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e10) = op2(e22,op2(e22,e22))
& e22 = h3(e13)
& op2(e22,e22) = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1866,plain,
( spl18_138
| spl18_302
| spl18_186
| spl18_44 ),
inference(avatar_split_clause,[],[f172,f574,f1194,f1863,f977]) ).
fof(f977,plain,
( spl18_138
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_138])]) ).
fof(f574,plain,
( spl18_44
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_44])]) ).
fof(f172,plain,
( sP5
| sP4
| e13 = op1(op1(e11,e13),op1(e11,e13))
| sP3 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
( ( e12 = op1(op1(e11,e12),op1(e11,e12))
& e10 = op1(op1(e11,e10),op1(e11,e10))
& e11 = op1(op1(e11,e11),op1(e11,e11))
& e13 = op1(op1(e11,e13),op1(e11,e13)) )
| sP5
| sP4
| sP3 ),
inference(definition_folding,[],[f10,f27,f26,f25]) ).
fof(f25,plain,
( ( e11 = op1(op1(e12,e11),op1(e12,e11))
& e12 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e10),op1(e12,e10))
& e13 = op1(op1(e12,e13),op1(e12,e13)) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f27,plain,
( ( e11 = op1(op1(e13,e11),op1(e13,e11))
& e12 = op1(op1(e13,e12),op1(e13,e12))
& e10 = op1(op1(e13,e10),op1(e13,e10))
& e13 = op1(op1(e13,e13),op1(e13,e13)) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f10,axiom,
( ( e12 = op1(op1(e11,e12),op1(e11,e12))
& e10 = op1(op1(e11,e10),op1(e11,e10))
& e11 = op1(op1(e11,e11),op1(e11,e11))
& e13 = op1(op1(e11,e13),op1(e11,e13)) )
| ( e11 = op1(op1(e13,e11),op1(e13,e11))
& e12 = op1(op1(e13,e12),op1(e13,e12))
& e10 = op1(op1(e13,e10),op1(e13,e10))
& e13 = op1(op1(e13,e13),op1(e13,e13)) )
| ( e11 = op1(op1(e10,e11),op1(e10,e11))
& e10 = op1(op1(e10,e10),op1(e10,e10))
& e12 = op1(op1(e10,e12),op1(e10,e12))
& e13 = op1(op1(e10,e13),op1(e10,e13)) )
| ( e11 = op1(op1(e12,e11),op1(e12,e11))
& e12 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e10),op1(e12,e10))
& e13 = op1(op1(e12,e13),op1(e12,e13)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f1853,plain,
( spl18_300
| ~ spl18_44 ),
inference(avatar_split_clause,[],[f162,f574,f1850]) ).
fof(f162,plain,
( ~ sP5
| e12 = op1(op1(e13,e12),op1(e13,e12)) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e11 = op1(op1(e13,e11),op1(e13,e11))
& e12 = op1(op1(e13,e12),op1(e13,e12))
& e10 = op1(op1(e13,e10),op1(e13,e10))
& e13 = op1(op1(e13,e13),op1(e13,e13)) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
fof(f1806,plain,
( spl18_266
| spl18_200
| spl18_268
| spl18_141 ),
inference(avatar_split_clause,[],[f370,f991,f1627,f1262,f1617]) ).
fof(f370,plain,
( e20 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e23 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21)
| e22 = op2(e22,e21) )
& ( e23 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22)
| e20 = op2(e23,e22) )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( op2(e20,e20) = e22
| e20 = op2(e20,e20)
| op2(e20,e20) = e21
| op2(e20,e20) = e23 )
& ( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20) )
& ( e23 = op2(e23,e23)
| e22 = op2(e23,e23)
| e20 = op2(e23,e23)
| e21 = op2(e23,e23) )
& ( e20 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22)
| e21 = op2(e21,e22) )
& ( e23 = op2(e23,e21)
| e21 = op2(e23,e21)
| e22 = op2(e23,e21)
| e20 = op2(e23,e21) )
& ( e20 = op2(e23,e20)
| e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e23 = op2(e23,e20) )
& ( e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e21,e23)
| e20 = op2(e21,e23)
| e23 = op2(e21,e23)
| e21 = op2(e21,e23) )
& ( e20 = op2(e20,e23)
| e21 = op2(e20,e23)
| e23 = op2(e20,e23)
| e22 = op2(e20,e23) )
& ( e21 = op2(e22,e22)
| e20 = op2(e22,e22)
| e22 = op2(e22,e22)
| e23 = op2(e22,e22) )
& ( e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e23 = op2(e21,e20)
| e20 = op2(e21,e20)
| e22 = op2(e21,e20)
| e21 = op2(e21,e20) )
& ( e22 = op2(e21,e21)
| e20 = op2(e21,e21)
| e21 = op2(e21,e21)
| e23 = op2(e21,e21) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1798,plain,
( ~ spl18_169
| spl18_291 ),
inference(avatar_split_clause,[],[f145,f1795,f1116]) ).
fof(f145,plain,
( e22 = op2(op2(e23,e22),op2(e23,e22))
| ~ sP2 ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( ( e23 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(op2(e23,e21),op2(e23,e21))
& e22 = op2(op2(e23,e22),op2(e23,e22))
& e20 = op2(op2(e23,e20),op2(e23,e20)) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1791,plain,
( ~ spl18_138
| spl18_290 ),
inference(avatar_split_clause,[],[f170,f1788,f977]) ).
fof(f170,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( ( e11 = op1(op1(e12,e11),op1(e12,e11))
& e12 = op1(op1(e12,e12),op1(e12,e12))
& e10 = op1(op1(e12,e10),op1(e12,e10))
& e13 = op1(op1(e12,e13),op1(e12,e13)) )
| ~ sP3 ),
inference(nnf_transformation,[],[f25]) ).
fof(f1763,plain,
( spl18_167
| spl18_260
| spl18_249
| spl18_207 ),
inference(avatar_split_clause,[],[f375,f1294,f1522,f1580,f1107]) ).
fof(f1107,plain,
( spl18_167
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_167])]) ).
fof(f375,plain,
( e10 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e10,e13)
| e10 = op1(e10,e13)
| e13 = op1(e10,e13)
| e11 = op1(e10,e13) )
& ( op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13
| e10 = op1(e10,e10) )
& ( e13 = op1(e13,e13)
| e11 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13) )
& ( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) )
& ( e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10) )
& ( e11 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e13 = op1(e13,e12) )
& ( e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e12 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e11 = op1(e11,e11)
| e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11) )
& ( e11 = op1(e12,e12)
| e13 = op1(e12,e12)
| e12 = op1(e12,e12)
| e10 = op1(e12,e12) )
& ( e13 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10)
| e12 = op1(e12,e10) )
& ( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e10 = op1(e11,e12)
| e12 = op1(e11,e12)
| e13 = op1(e11,e12)
| e11 = op1(e11,e12) )
& ( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e11 = op1(e11,e10)
| e13 = op1(e11,e10)
| e12 = op1(e11,e10)
| e10 = op1(e11,e10) )
& ( e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11)
| e12 = op1(e10,e11) )
& ( e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1760,plain,
( spl18_178
| spl18_125
| spl18_279
| spl18_280 ),
inference(avatar_split_clause,[],[f362,f1702,f1697,f918,f1156]) ).
fof(f362,plain,
( e23 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1759,plain,
( spl18_79
| spl18_127
| spl18_256
| spl18_287 ),
inference(avatar_split_clause,[],[f1754,f1756,f1560,f926,f726]) ).
fof(f1754,plain,
( e20 = h1(e11)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21) ),
inference(forward_demodulation,[],[f283,f63]) ).
fof(f283,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21) )
& ( e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e20,e23)
| e20 = op2(e23,e23) )
& ( e22 = op2(e21,e23)
| e22 = op2(e20,e23)
| e22 = op2(e23,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21) )
& ( e20 = op2(e21,e22)
| e20 = op2(e20,e22)
| e20 = op2(e23,e22)
| e20 = op2(e22,e22) )
& ( e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e23)
| e23 = op2(e20,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e20)
| e21 = op2(e22,e23)
| e21 = op2(e22,e22) )
& ( e22 = op2(e22,e23)
| e22 = op2(e22,e21)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22) )
& ( e21 = op2(e22,e21)
| e21 = op2(e20,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21) )
& ( e22 = op2(e22,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22)
| e22 = op2(e20,e22) )
& ( e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e23) )
& ( e23 = op2(e22,e22)
| e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) )
& ( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e23)
| e20 = op2(e20,e22) )
& ( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) )
& ( e23 = op2(e21,e21)
| e23 = op2(e21,e23)
| e23 = op2(e21,e22)
| e23 = op2(e21,e20) )
& ( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e23,e23)
| e23 = op2(e22,e23) )
& ( e22 = op2(e23,e21)
| e22 = op2(e23,e20)
| e22 = op2(e23,e22)
| e22 = op2(e23,e23) )
& ( e20 = op2(e22,e22)
| e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21) )
& ( e22 = op2(e21,e22)
| e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = op2(e21,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20) )
& ( e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22) )
& ( e22 = op2(e23,e20)
| op2(e20,e20) = e22
| e22 = op2(e22,e20)
| e22 = op2(e21,e20) )
& ( e20 = op2(e23,e20)
| e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e23) )
& ( e23 = op2(e22,e20)
| op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e23,e20) )
& ( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e23,e20)
| e20 = op2(e22,e20) )
& ( e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e23) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20) )
& ( e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| op2(e20,e20) = e21
| e21 = op2(e23,e20) )
& ( e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) )
& ( e21 = op2(e23,e23)
| e21 = op2(e22,e23)
| e21 = op2(e21,e23)
| e21 = op2(e20,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1727,plain,
( spl18_284
| ~ spl18_169 ),
inference(avatar_split_clause,[],[f144,f1116,f1724]) ).
fof(f144,plain,
( ~ sP2
| e20 = op2(op2(e23,e20),op2(e23,e20)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f1722,plain,
( spl18_283
| ~ spl18_170 ),
inference(avatar_split_clause,[],[f150,f1120,f1719]) ).
fof(f150,plain,
( ~ sP1
| e20 = op2(op2(e21,e20),op2(e21,e20)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( e22 = op2(op2(e21,e22),op2(e21,e22))
& e20 = op2(op2(e21,e20),op2(e21,e20))
& e23 = op2(op2(e21,e23),op2(e21,e23))
& e21 = op2(op2(e21,e21),op2(e21,e21)) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1682,plain,
( spl18_183
| spl18_67
| spl18_134
| spl18_230 ),
inference(avatar_split_clause,[],[f378,f1418,f957,f675,f1179]) ).
fof(f378,plain,
( e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e13 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1675,plain,
~ spl18_252,
inference(avatar_split_clause,[],[f1674,f1537]) ).
fof(f1537,plain,
( spl18_252
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_252])]) ).
fof(f1674,plain,
e11 != op1(e13,e10),
inference(forward_demodulation,[],[f143,f257]) ).
fof(f143,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1667,plain,
( spl18_60
| spl18_125
| spl18_58
| spl18_76 ),
inference(avatar_split_clause,[],[f278,f714,f634,f918,f643]) ).
fof(f278,plain,
( e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1666,plain,
spl18_102,
inference(avatar_split_clause,[],[f350,f822]) ).
fof(f350,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1660,plain,
( spl18_273
| ~ spl18_186 ),
inference(avatar_split_clause,[],[f164,f1194,f1657]) ).
fof(f164,plain,
( ~ sP4
| e13 = op1(op1(e10,e13),op1(e10,e13)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f1653,plain,
( spl18_184
| spl18_133
| spl18_164
| spl18_68 ),
inference(avatar_split_clause,[],[f384,f679,f1094,f953,f1183]) ).
fof(f384,plain,
( e13 = op1(e12,e11)
| e12 = op1(e12,e11)
| e11 = op1(e12,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1630,plain,
( spl18_103
| spl18_268
| spl18_158
| spl18_49 ),
inference(avatar_split_clause,[],[f296,f596,f1067,f1627,f826]) ).
fof(f296,plain,
( e23 = op2(e23,e21)
| e23 = op2(e23,e20)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1615,plain,
spl18_194,
inference(avatar_split_clause,[],[f1614,f1235]) ).
fof(f1614,plain,
e22 = op2(e20,e23),
inference(forward_demodulation,[],[f1613,f1551]) ).
fof(f1613,plain,
e22 = op2(op2(e23,h4(e11)),e23),
inference(forward_demodulation,[],[f349,f352]) ).
fof(f349,plain,
e22 = op2(op2(e23,op2(e23,e23)),e23),
inference(cnf_transformation,[],[f13]) ).
fof(f1594,plain,
( spl18_199
| spl18_256
| spl18_233
| spl18_196 ),
inference(avatar_split_clause,[],[f358,f1244,f1433,f1560,f1258]) ).
fof(f358,plain,
( e22 = op2(e20,e22)
| e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e21 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1593,plain,
( spl18_262
| spl18_223
| spl18_203
| spl18_145 ),
inference(avatar_split_clause,[],[f90,f1008,f1277,f1384,f1590]) ).
fof(f90,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e12)
| op1(e10,e10) = e13
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1588,plain,
( spl18_261
| ~ spl18_124 ),
inference(avatar_split_clause,[],[f154,f913,f1585]) ).
fof(f154,plain,
( ~ sP0
| e22 = op2(op2(e20,e22),op2(e20,e22)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e21 = op2(op2(e20,e21),op2(e20,e21))
& e22 = op2(op2(e20,e22),op2(e20,e22))
& e23 = op2(op2(e20,e23),op2(e20,e23))
& e20 = op2(op2(e20,e20),op2(e20,e20)) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f1563,plain,
( spl18_58
| spl18_192
| spl18_256
| spl18_141 ),
inference(avatar_split_clause,[],[f292,f991,f1560,f1226,f634]) ).
fof(f292,plain,
( e20 = op2(e23,e22)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1553,plain,
spl18_237,
inference(avatar_split_clause,[],[f1552,f1452]) ).
fof(f1552,plain,
e20 = h4(e10),
inference(backward_demodulation,[],[f834,f1551]) ).
fof(f1540,plain,
( spl18_252
| spl18_53
| spl18_239
| spl18_242 ),
inference(avatar_split_clause,[],[f383,f1479,f1463,f613,f1537]) ).
fof(f383,plain,
( e13 = op1(e13,e10)
| e10 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1513,plain,
~ spl18_130,
inference(avatar_split_clause,[],[f1512,f940]) ).
fof(f940,plain,
( spl18_130
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl18_130])]) ).
fof(f1512,plain,
e11 != op1(e12,e13),
inference(forward_demodulation,[],[f96,f257]) ).
fof(f96,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1505,plain,
( ~ spl18_40
| ~ spl18_26
| ~ spl18_29
| ~ spl18_34
| ~ spl18_36
| ~ spl18_28
| ~ spl18_24
| spl18_30
| ~ spl18_246
| ~ spl18_35
| ~ spl18_216
| ~ spl18_31
| spl18_25
| ~ spl18_27
| ~ spl18_41
| ~ spl18_23
| ~ spl18_38
| ~ spl18_32
| ~ spl18_37
| spl18_42 ),
inference(avatar_split_clause,[],[f1500,f565,f545,f525,f549,f489,f561,f505,f497,f521,f1345,f537,f1502,f517,f493,f509,f541,f533,f513,f501,f557]) ).
fof(f517,plain,
( spl18_30
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_30])]) ).
fof(f497,plain,
( spl18_25
<=> sP13 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_25])]) ).
fof(f565,plain,
( spl18_42
<=> sP12 ),
introduced(avatar_definition,[new_symbols(naming,[spl18_42])]) ).
fof(f1500,plain,
( sP12
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP13
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(e11) != op2(h4(e13),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| e22 != h4(e12)
| sP14
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10)) ),
inference(forward_demodulation,[],[f233,f257]) ).
fof(f233,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP13
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| sP12
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP14
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| e22 != h4(e12)
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13)) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( ( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| sP17
| sP16
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| sP15
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) )
& ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| sP14
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| sP13
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| sP12 )
& ( ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e10) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| sP11
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| sP10
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| sP9
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) )
& ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| sP8
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| sP7
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| sP6
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ) ),
inference(definition_folding,[],[f20,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31,f30,f29]) ).
fof(f29,plain,
( ( e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e11) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f30,plain,
( ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f31,plain,
( ( e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e12) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e10) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e10) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f37,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f38,plain,
( ( e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e11) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f39,plain,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f40,plain,
( ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f20,plain,
( ( h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| ( e22 != h1(e11)
& e22 != h1(e10)
& e22 != h1(e13)
& e22 != h1(e12) )
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e20 != h1(e10)
& e20 != h1(e12)
& e20 != h1(e13)
& e20 != h1(e11) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| ( e21 != h1(e13)
& e21 != h1(e10)
& e21 != h1(e12)
& e21 != h1(e11) )
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12)) )
& ( h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| ( e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e13) )
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) ) )
& ( ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e13)
& e20 != h2(e10) )
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| ( e23 != h2(e11)
& e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e10) )
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13)
& e21 != h2(e10) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| ( e22 != h2(e13)
& e22 != h2(e12)
& e22 != h2(e11)
& e22 != h2(e10) )
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11)) )
& ( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e13)
& e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e10) )
| ( e22 != h3(e10)
& e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e12) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| ( e23 != h3(e13)
& e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12) )
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| ( e20 != h3(e10)
& e20 != h3(e12)
& e20 != h3(e13)
& e20 != h3(e11) )
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e13) )
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11)
| e22 = h1(e12) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
| ( h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10)
| e22 = h2(e13) )
& ( e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12)
| e21 = h2(e10) )
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
| ( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e10) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( ( e21 = h1(e11)
| e21 = h1(e12)
| e21 = h1(e10)
| e21 = h1(e13) )
& ( e22 = h1(e10)
| e22 = h1(e13)
| e22 = h1(e11)
| e22 = h1(e12) )
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& ( e23 = h1(e12)
| e23 = h1(e11)
| e23 = h1(e10)
| e23 = h1(e13) )
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( e20 = h1(e12)
| e20 = h1(e11)
| e20 = h1(e13)
| e20 = h1(e10) )
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10)) )
| ( h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( e22 = h2(e12)
| e22 = h2(e11)
| e22 = h2(e10)
| e22 = h2(e13) )
& ( e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12)
| e21 = h2(e10) )
& ( e20 = h2(e10)
| e20 = h2(e11)
| e20 = h2(e13)
| e20 = h2(e12) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& ( e23 = h2(e12)
| e23 = h2(e11)
| e23 = h2(e10)
| e23 = h2(e13) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) )
| ( h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& ( e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13)
| e20 = h3(e10) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& ( e23 = h3(e10)
| e23 = h3(e12)
| e23 = h3(e13)
| e23 = h3(e11) )
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e22 = h3(e13)
| e22 = h3(e12)
| e22 = h3(e11)
| e22 = h3(e10) )
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e21 = h3(e12)
| e21 = h3(e13)
| e21 = h3(e11)
| e21 = h3(e10) )
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) )
| ( h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( e21 = h4(e13)
| e21 = h4(e10)
| e21 = h4(e12)
| e21 = h4(e11) )
& ( e20 = h4(e13)
| e20 = h4(e12)
| e20 = h4(e10)
| e20 = h4(e11) )
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& ( e22 = h4(e12)
| e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e10) )
& ( e23 = h4(e13)
| e23 = h4(e12)
| e23 = h4(e11)
| e23 = h4(e10) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f1499,plain,
( spl18_244
| spl18_197
| spl18_54 ),
inference(avatar_split_clause,[],[f1498,f617,f1249,f1490]) ).
fof(f1498,plain,
( e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e13 = op1(e13,e12) ),
inference(subsumption_resolution,[],[f382,f1327]) ).
fof(f1327,plain,
e11 != op1(e13,e12),
inference(forward_demodulation,[],[f129,f257]) ).
fof(f129,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f382,plain,
( e13 = op1(e13,e12)
| e12 = op1(e13,e12)
| e10 = op1(e13,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1497,plain,
( spl18_243
| spl18_244
| spl18_245
| spl18_242 ),
inference(avatar_split_clause,[],[f1484,f1479,f1494,f1490,f1486]) ).
fof(f1484,plain,
( e13 = op1(e13,e10)
| e11 = e13
| e13 = op1(e13,e12)
| e13 = op1(e13,e11) ),
inference(forward_demodulation,[],[f89,f257]) ).
fof(f89,plain,
( e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1455,plain,
( ~ spl18_237
| ~ spl18_30 ),
inference(avatar_split_clause,[],[f190,f517,f1452]) ).
fof(f190,plain,
( ~ sP14
| e20 != h4(e10) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( ( e20 != h4(e11)
& e20 != h4(e10)
& e20 != h4(e13)
& e20 != h4(e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f37]) ).
fof(f1450,plain,
( spl18_236
| ~ spl18_170 ),
inference(avatar_split_clause,[],[f149,f1120,f1447]) ).
fof(f149,plain,
( ~ sP1
| e23 = op2(op2(e21,e23),op2(e21,e23)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f1440,plain,
( spl18_225
| spl18_233
| spl18_234
| spl18_47 ),
inference(avatar_split_clause,[],[f291,f588,f1437,f1433,f1393]) ).
fof(f291,plain,
( e23 = op2(e20,e21)
| e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f1401,plain,
( spl18_186
| spl18_138
| spl18_226
| spl18_44 ),
inference(avatar_split_clause,[],[f174,f574,f1398,f977,f1194]) ).
fof(f174,plain,
( sP5
| e10 = op1(op1(e11,e10),op1(e11,e10))
| sP3
| sP4 ),
inference(cnf_transformation,[],[f28]) ).
fof(f1391,plain,
( spl18_222
| spl18_161
| spl18_223
| spl18_224 ),
inference(avatar_split_clause,[],[f386,f1388,f1384,f1081,f1380]) ).
fof(f386,plain,
( op1(e10,e10) = e12
| op1(e10,e10) = e13
| e10 = op1(e10,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f1]) ).
fof(f1360,plain,
( spl18_195
| spl18_212
| spl18_79
| spl18_47 ),
inference(avatar_split_clause,[],[f369,f588,f726,f1318,f1240]) ).
fof(f369,plain,
( e23 = op2(e20,e21)
| e20 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1354,plain,
~ spl18_167,
inference(avatar_split_clause,[],[f1353,f1107]) ).
fof(f1353,plain,
e11 != op1(e11,e13),
inference(forward_demodulation,[],[f113,f257]) ).
fof(f113,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1336,plain,
( spl18_211
| spl18_48
| spl18_177
| spl18_76 ),
inference(avatar_split_clause,[],[f371,f714,f1152,f592,f1314]) ).
fof(f371,plain,
( e20 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1335,plain,
spl18_80,
inference(avatar_split_clause,[],[f355,f731]) ).
fof(f355,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f1334,plain,
spl18_209,
inference(avatar_split_clause,[],[f1333,f1303]) ).
fof(f1333,plain,
e10 = op1(e13,e11),
inference(forward_demodulation,[],[f256,f257]) ).
fof(f256,plain,
e10 = op1(e13,op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f1332,plain,
( ~ spl18_214
| ~ spl18_25 ),
inference(avatar_split_clause,[],[f194,f497,f1329]) ).
fof(f194,plain,
( ~ sP13
| e21 != h4(e11) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( ( e21 != h4(e12)
& e21 != h4(e11)
& e21 != h4(e10)
& e21 != h4(e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f36]) ).
fof(f1297,plain,
( spl18_144
| spl18_206
| spl18_131
| spl18_207 ),
inference(avatar_split_clause,[],[f66,f1294,f944,f1290,f1004]) ).
fof(f66,plain,
( e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1288,plain,
( spl18_160
| spl18_203
| spl18_204
| spl18_205 ),
inference(avatar_split_clause,[],[f381,f1285,f1281,f1277,f1077]) ).
fof(f381,plain,
( e11 = op1(e10,e12)
| e12 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1256,plain,
( spl18_197
| spl18_182
| spl18_198
| spl18_160 ),
inference(avatar_split_clause,[],[f95,f1077,f1253,f1175,f1249]) ).
fof(f95,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1191,plain,
( spl18_179
| spl18_137
| spl18_185
| spl18_73 ),
inference(avatar_split_clause,[],[f357,f701,f1188,f970,f1161]) ).
fof(f357,plain,
( e22 = op2(e21,e20)
| e23 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1159,plain,
( spl18_177
| spl18_56
| spl18_59
| spl18_178 ),
inference(avatar_split_clause,[],[f289,f1156,f639,f626,f1152]) ).
fof(f289,plain,
( e22 = op2(e22,e23)
| e22 = op2(e22,e20)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1150,plain,
( spl18_174
| spl18_175
| spl18_176
| spl18_166 ),
inference(avatar_split_clause,[],[f374,f1103,f1147,f1143,f1139]) ).
fof(f374,plain,
( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e13 = op1(e11,e10)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1127,plain,
( spl18_124
| spl18_169
| spl18_170
| spl18_171 ),
inference(avatar_split_clause,[],[f159,f1124,f1120,f1116,f913]) ).
fof(f159,plain,
( e23 = op2(op2(e22,e23),op2(e22,e23))
| sP1
| sP2
| sP0 ),
inference(cnf_transformation,[],[f24]) ).
fof(f1088,plain,
( spl18_144
| spl18_160
| spl18_161
| spl18_162 ),
inference(avatar_split_clause,[],[f87,f1085,f1081,f1077,f1004]) ).
fof(f87,plain,
( e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1075,plain,
( ~ spl18_138
| spl18_159 ),
inference(avatar_split_clause,[],[f169,f1072,f977]) ).
fof(f169,plain,
( e10 = op1(op1(e12,e10),op1(e12,e10))
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f1070,plain,
( spl18_157
| spl18_158
| spl18_135
| spl18_142 ),
inference(avatar_split_clause,[],[f363,f995,f962,f1067,f1063]) ).
fof(f363,plain,
( e20 = op2(e23,e20)
| e21 = op2(e23,e20)
| e23 = op2(e23,e20)
| e22 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1052,plain,
( spl18_74
| spl18_153
| spl18_154
| spl18_126 ),
inference(avatar_split_clause,[],[f361,f922,f1049,f1045,f705]) ).
fof(f361,plain,
( e20 = op2(e21,e23)
| e21 = op2(e21,e23)
| e23 = op2(e21,e23)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f984,plain,
( ~ spl18_138
| spl18_139 ),
inference(avatar_split_clause,[],[f168,f981,f977]) ).
fof(f168,plain,
( e13 = op1(op1(e12,e13),op1(e12,e13))
| ~ sP3 ),
inference(cnf_transformation,[],[f47]) ).
fof(f973,plain,
( spl18_135
| spl18_62
| spl18_136
| spl18_137 ),
inference(avatar_split_clause,[],[f267,f970,f966,f651,f962]) ).
fof(f267,plain,
( e21 = op2(e21,e20)
| op2(e20,e20) = e21
| e21 = op2(e22,e20)
| e21 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f947,plain,
( spl18_129
| spl18_69
| spl18_130
| spl18_131 ),
inference(avatar_split_clause,[],[f377,f944,f940,f683,f936]) ).
fof(f377,plain,
( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e13 = op1(e12,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f934,plain,
( ~ spl18_124
| spl18_128 ),
inference(avatar_split_clause,[],[f153,f931,f913]) ).
fof(f153,plain,
( e23 = op2(op2(e20,e23),op2(e20,e23))
| ~ sP0 ),
inference(cnf_transformation,[],[f44]) ).
fof(f929,plain,
( spl18_125
| spl18_101
| spl18_126
| spl18_127 ),
inference(avatar_split_clause,[],[f295,f926,f922,f818,f918]) ).
fof(f295,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e23,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f734,plain,
( ~ spl18_80
| ~ spl18_42 ),
inference(avatar_split_clause,[],[f199,f565,f731]) ).
fof(f199,plain,
( ~ sP12
| e23 != h4(e13) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( ( e23 != h4(e13)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e10) )
| ~ sP12 ),
inference(nnf_transformation,[],[f35]) ).
fof(f654,plain,
( spl18_59
| spl18_60
| spl18_61
| spl18_62 ),
inference(avatar_split_clause,[],[f367,f651,f647,f643,f639]) ).
fof(f367,plain,
( e21 = op2(e22,e20)
| e23 = op2(e22,e20)
| e20 = op2(e22,e20)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Aug 29 14:53:19 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.48 % (8299)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.17/0.49 % (8291)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.50 % (8308)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.17/0.50 % (8300)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.17/0.50 % (8307)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.17/0.51 % (8295)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.17/0.52 % (8292)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.17/0.52 % (8298)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.17/0.52 % (8296)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.17/0.52 % (8292)Instruction limit reached!
% 0.17/0.52 % (8292)------------------------------
% 0.17/0.52 % (8292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.17/0.52 % (8292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.17/0.52 % (8292)Termination reason: Unknown
% 0.17/0.52 % (8292)Termination phase: Property scanning
% 0.17/0.52
% 0.17/0.52 % (8292)Memory used [KB]: 1151
% 0.17/0.52 % (8292)Time elapsed: 0.009 s
% 0.17/0.52 % (8292)Instructions burned: 7 (million)
% 0.17/0.52 % (8292)------------------------------
% 0.17/0.52 % (8292)------------------------------
% 0.17/0.53 % (8287)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.17/0.53 % (8290)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.17/0.53 % (8285)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.17/0.53 % (8288)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.17/0.54 % (8297)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.46/0.54 % (8286)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.46/0.54 % (8294)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.55 % (8309)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.46/0.55 % (8301)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.46/0.55 % (8293)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.46/0.55 % (8289)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.46/0.56 % (8314)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.46/0.56 % (8311)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.65/0.56 % (8312)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.65/0.56 % (8306)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.65/0.56 % (8310)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.65/0.57 % (8291)Instruction limit reached!
% 1.65/0.57 % (8291)------------------------------
% 1.65/0.57 % (8291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (8291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (8291)Termination reason: Unknown
% 1.65/0.57 % (8291)Termination phase: Finite model building preprocessing
% 1.65/0.57
% 1.65/0.57 % (8291)Memory used [KB]: 2430
% 1.65/0.57 % (8291)Time elapsed: 0.029 s
% 1.65/0.57 % (8291)Instructions burned: 51 (million)
% 1.65/0.57 % (8291)------------------------------
% 1.65/0.57 % (8291)------------------------------
% 1.65/0.57 % (8293)Instruction limit reached!
% 1.65/0.57 % (8293)------------------------------
% 1.65/0.57 % (8293)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.57 % (8293)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.57 % (8293)Termination reason: Unknown
% 1.65/0.57 % (8293)Termination phase: Naming
% 1.65/0.57
% 1.65/0.57 % (8293)Memory used [KB]: 1023
% 1.65/0.57 % (8293)Time elapsed: 0.005 s
% 1.65/0.57 % (8293)Instructions burned: 3 (million)
% 1.65/0.57 % (8293)------------------------------
% 1.65/0.57 % (8293)------------------------------
% 1.65/0.57 % (8304)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.57 % (8302)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.65/0.57 % (8303)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.65/0.58 % (8313)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.65/0.59 % (8305)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.65/0.60 % (8299)Instruction limit reached!
% 1.65/0.60 % (8299)------------------------------
% 1.65/0.60 % (8299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.60 % (8299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.60 % (8299)Termination reason: Unknown
% 1.65/0.60 % (8299)Termination phase: Saturation
% 1.65/0.60
% 1.65/0.60 % (8299)Memory used [KB]: 6908
% 1.65/0.60 % (8299)Time elapsed: 0.058 s
% 1.65/0.60 % (8299)Instructions burned: 69 (million)
% 1.65/0.60 % (8299)------------------------------
% 1.65/0.60 % (8299)------------------------------
% 1.65/0.61 % (8287)Instruction limit reached!
% 1.65/0.61 % (8287)------------------------------
% 1.65/0.61 % (8287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.61 % (8287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.61 % (8287)Termination reason: Unknown
% 1.65/0.61 % (8287)Termination phase: Saturation
% 1.65/0.61
% 1.65/0.61 % (8287)Memory used [KB]: 1151
% 1.65/0.61 % (8287)Time elapsed: 0.023 s
% 1.65/0.61 % (8287)Instructions burned: 37 (million)
% 1.65/0.61 % (8287)------------------------------
% 1.65/0.61 % (8287)------------------------------
% 1.65/0.62 % (8295)Instruction limit reached!
% 1.65/0.62 % (8295)------------------------------
% 1.65/0.62 % (8295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (8295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (8295)Termination reason: Unknown
% 1.65/0.63 % (8295)Termination phase: Saturation
% 1.65/0.63
% 1.65/0.63 % (8295)Memory used [KB]: 6908
% 1.65/0.63 % (8295)Time elapsed: 0.034 s
% 1.65/0.63 % (8295)Instructions burned: 50 (million)
% 1.65/0.63 % (8295)------------------------------
% 1.65/0.63 % (8295)------------------------------
% 1.65/0.63 % (8294)Instruction limit reached!
% 1.65/0.63 % (8294)------------------------------
% 1.65/0.63 % (8294)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.63 % (8294)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.63 % (8294)Termination reason: Unknown
% 1.65/0.63 % (8294)Termination phase: Saturation
% 1.65/0.63
% 1.65/0.63 % (8294)Memory used [KB]: 1279
% 1.65/0.63 % (8294)Time elapsed: 0.033 s
% 1.65/0.63 % (8294)Instructions burned: 52 (million)
% 1.65/0.63 % (8294)------------------------------
% 1.65/0.63 % (8294)------------------------------
% 1.65/0.63 % (8300)Instruction limit reached!
% 1.65/0.63 % (8300)------------------------------
% 1.65/0.63 % (8300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (8290)Instruction limit reached!
% 1.65/0.64 % (8290)------------------------------
% 1.65/0.64 % (8290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (8288)Instruction limit reached!
% 1.65/0.64 % (8288)------------------------------
% 1.65/0.64 % (8288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.65/0.64 % (8288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.65/0.64 % (8288)Termination reason: Unknown
% 1.65/0.64 % (8288)Termination phase: Saturation
% 1.65/0.64
% 1.65/0.64 % (8288)Memory used [KB]: 6268
% 1.65/0.64 % (8288)Time elapsed: 0.030 s
% 1.65/0.64 % (8288)Instructions burned: 52 (million)
% 1.65/0.64 % (8288)------------------------------
% 1.65/0.64 % (8288)------------------------------
% 2.24/0.65 % (8290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.65 % (8290)Termination reason: Unknown
% 2.24/0.65 % (8290)Termination phase: Saturation
% 2.24/0.65
% 2.24/0.65 % (8290)Memory used [KB]: 6652
% 2.24/0.65 % (8290)Time elapsed: 0.246 s
% 2.24/0.65 % (8290)Instructions burned: 49 (million)
% 2.24/0.65 % (8290)------------------------------
% 2.24/0.65 % (8290)------------------------------
% 2.24/0.66 % (8300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (8300)Termination reason: Unknown
% 2.24/0.66 % (8300)Termination phase: Saturation
% 2.24/0.66
% 2.24/0.66 % (8300)Memory used [KB]: 1663
% 2.24/0.66 % (8300)Time elapsed: 0.070 s
% 2.24/0.66 % (8300)Instructions burned: 75 (million)
% 2.24/0.66 % (8300)------------------------------
% 2.24/0.66 % (8300)------------------------------
% 2.24/0.66 % (8286)Instruction limit reached!
% 2.24/0.66 % (8286)------------------------------
% 2.24/0.66 % (8286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (8286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (8286)Termination reason: Unknown
% 2.24/0.66 % (8286)Termination phase: Saturation
% 2.24/0.66
% 2.24/0.66 % (8286)Memory used [KB]: 6780
% 2.24/0.66 % (8286)Time elapsed: 0.037 s
% 2.24/0.66 % (8286)Instructions burned: 51 (million)
% 2.24/0.66 % (8286)------------------------------
% 2.24/0.66 % (8286)------------------------------
% 2.24/0.66 % (8289)Instruction limit reached!
% 2.24/0.66 % (8289)------------------------------
% 2.24/0.66 % (8289)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.66 % (8289)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.66 % (8289)Termination reason: Unknown
% 2.24/0.66 % (8289)Termination phase: Saturation
% 2.24/0.66
% 2.24/0.66 % (8289)Memory used [KB]: 6652
% 2.24/0.66 % (8289)Time elapsed: 0.034 s
% 2.24/0.66 % (8289)Instructions burned: 51 (million)
% 2.24/0.66 % (8289)------------------------------
% 2.24/0.66 % (8289)------------------------------
% 2.24/0.68 % (8302)Instruction limit reached!
% 2.24/0.68 % (8302)------------------------------
% 2.24/0.68 % (8302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.24/0.68 % (8302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.24/0.68 % (8302)Termination reason: Unknown
% 2.24/0.68 % (8302)Termination phase: Finite model building preprocessing
% 2.24/0.68
% 2.24/0.68 % (8302)Memory used [KB]: 2558
% 2.24/0.68 % (8302)Time elapsed: 0.034 s
% 2.24/0.68 % (8302)Instructions burned: 60 (million)
% 2.24/0.68 % (8302)------------------------------
% 2.24/0.68 % (8302)------------------------------
% 2.42/0.69 % (8311)Instruction limit reached!
% 2.42/0.69 % (8311)------------------------------
% 2.42/0.69 % (8311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.69 % (8311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.69 % (8311)Termination reason: Unknown
% 2.42/0.69 % (8311)Termination phase: Saturation
% 2.42/0.69
% 2.42/0.69 % (8311)Memory used [KB]: 6908
% 2.42/0.69 % (8311)Time elapsed: 0.066 s
% 2.42/0.69 % (8311)Instructions burned: 69 (million)
% 2.42/0.69 % (8311)------------------------------
% 2.42/0.69 % (8311)------------------------------
% 2.42/0.70 TRYING [8]
% 2.42/0.71 % (8298)Instruction limit reached!
% 2.42/0.71 % (8298)------------------------------
% 2.42/0.71 % (8298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72 % (8296)Instruction limit reached!
% 2.42/0.72 % (8296)------------------------------
% 2.42/0.72 % (8296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.42/0.72 % (8296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.72 % (8296)Termination reason: Unknown
% 2.42/0.72 % (8296)Termination phase: Saturation
% 2.42/0.72
% 2.42/0.72 % (8296)Memory used [KB]: 7547
% 2.42/0.72 % (8296)Time elapsed: 0.308 s
% 2.42/0.72 % (8296)Instructions burned: 100 (million)
% 2.42/0.72 % (8296)------------------------------
% 2.42/0.72 % (8296)------------------------------
% 2.42/0.73 % (8298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.42/0.73 % (8298)Termination reason: Unknown
% 2.42/0.73 % (8298)Termination phase: Saturation
% 2.42/0.73
% 2.42/0.73 % (8298)Memory used [KB]: 7419
% 2.42/0.73 % (8298)Time elapsed: 0.316 s
% 2.42/0.73 % (8298)Instructions burned: 99 (million)
% 2.42/0.73 % (8298)------------------------------
% 2.42/0.73 % (8298)------------------------------
% 2.79/0.74 % (8315)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 2.87/0.76 % (8304)Instruction limit reached!
% 2.87/0.76 % (8304)------------------------------
% 2.87/0.76 % (8304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.76 % (8304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.76 % (8304)Termination reason: Unknown
% 2.87/0.76 % (8304)Termination phase: Saturation
% 2.87/0.76
% 2.87/0.76 % (8304)Memory used [KB]: 1407
% 2.87/0.76 % (8304)Time elapsed: 0.341 s
% 2.87/0.76 % (8304)Instructions burned: 100 (million)
% 2.87/0.76 % (8304)------------------------------
% 2.87/0.76 % (8304)------------------------------
% 2.87/0.76 % (8303)Instruction limit reached!
% 2.87/0.76 % (8303)------------------------------
% 2.87/0.76 % (8303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.76 % (8303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.76 % (8303)Termination reason: Unknown
% 2.87/0.76 % (8303)Termination phase: Saturation
% 2.87/0.76
% 2.87/0.76 % (8303)Memory used [KB]: 7291
% 2.87/0.76 % (8303)Time elapsed: 0.105 s
% 2.87/0.76 % (8303)Instructions burned: 100 (million)
% 2.87/0.76 % (8303)------------------------------
% 2.87/0.76 % (8303)------------------------------
% 2.87/0.76 % (8301)Instruction limit reached!
% 2.87/0.76 % (8301)------------------------------
% 2.87/0.76 % (8301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.76 % (8301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.76 % (8301)Termination reason: Unknown
% 2.87/0.76 % (8301)Termination phase: Saturation
% 2.87/0.76
% 2.87/0.76 % (8301)Memory used [KB]: 6908
% 2.87/0.76 % (8301)Time elapsed: 0.363 s
% 2.87/0.76 % (8301)Instructions burned: 100 (million)
% 2.87/0.76 % (8301)------------------------------
% 2.87/0.76 % (8301)------------------------------
% 2.87/0.77 % (8306)First to succeed.
% 2.87/0.78 % (8316)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.87/0.79 % (8317)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.87/0.79 % (8297)Instruction limit reached!
% 2.87/0.79 % (8297)------------------------------
% 2.87/0.79 % (8297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.79 % (8297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.79 % (8297)Termination reason: Unknown
% 2.87/0.79 % (8297)Termination phase: Saturation
% 2.87/0.79
% 2.87/0.79 % (8297)Memory used [KB]: 7419
% 2.87/0.79 % (8297)Time elapsed: 0.377 s
% 2.87/0.79 % (8297)Instructions burned: 101 (million)
% 2.87/0.79 % (8297)------------------------------
% 2.87/0.79 % (8297)------------------------------
% 2.87/0.81 % (8308)Also succeeded, but the first one will report.
% 2.87/0.81 % (8306)Refutation found. Thanks to Tanya!
% 2.87/0.81 % SZS status Theorem for theBenchmark
% 2.87/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.13/0.82 % (8306)------------------------------
% 3.13/0.82 % (8306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.13/0.82 % (8306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.13/0.82 % (8306)Termination reason: Refutation
% 3.13/0.82
% 3.13/0.82 % (8306)Memory used [KB]: 7931
% 3.13/0.82 % (8306)Time elapsed: 0.108 s
% 3.13/0.82 % (8306)Instructions burned: 99 (million)
% 3.13/0.82 % (8306)------------------------------
% 3.13/0.82 % (8306)------------------------------
% 3.13/0.82 % (8284)Success in time 0.479 s
%------------------------------------------------------------------------------