TSTP Solution File: ALG110+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG110+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_uns --cores 0 -t %d %s
% Computer : n023.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 15:39:43 EDT 2022
% Result : Theorem 2.52s 0.72s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 168
% Syntax : Number of formulae : 751 ( 116 unt; 0 def)
% Number of atoms : 3005 (1808 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 3633 (1379 ~;1568 |; 554 &)
% ( 132 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 154 ( 152 usr; 153 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3412,plain,
$false,
inference(avatar_sat_refutation,[],[f484,f537,f563,f580,f663,f703,f784,f798,f869,f871,f915,f934,f967,f1064,f1082,f1087,f1092,f1113,f1122,f1127,f1128,f1156,f1157,f1200,f1222,f1308,f1362,f1363,f1368,f1373,f1402,f1406,f1424,f1449,f1545,f1548,f1554,f1602,f1614,f1617,f1632,f1634,f1649,f1652,f1653,f1657,f1658,f1662,f1692,f1705,f1803,f1821,f1823,f1841,f1850,f1852,f1859,f1866,f1888,f1889,f1917,f1921,f1922,f1924,f1956,f1964,f1965,f1986,f1987,f1989,f2008,f2009,f2026,f2057,f2079,f2086,f2118,f2142,f2143,f2144,f2174,f2175,f2196,f2207,f2216,f2229,f2258,f2285,f2287,f2316,f2319,f2330,f2367,f2379,f2385,f2388,f2391,f2404,f2432,f2444,f2449,f2451,f2517,f2520,f2523,f2537,f2558,f2586,f2597,f2603,f2606,f2625,f2635,f2639,f2653,f2658,f2660,f2663,f2668,f2674,f2715,f2720,f2729,f2731,f2744,f2781,f2784,f2809,f2874,f2902,f2928,f2933,f2937,f2952,f2971,f2990,f3045,f3057,f3067,f3093,f3111,f3125,f3171,f3189,f3199,f3227,f3238,f3257,f3273,f3297,f3314,f3332,f3333,f3341,f3357]) ).
fof(f3357,plain,
( ~ spl20_54
| ~ spl20_191
| spl20_245 ),
inference(avatar_contradiction_clause,[],[f3356]) ).
fof(f3356,plain,
( $false
| ~ spl20_54
| ~ spl20_191
| spl20_245 ),
inference(subsumption_resolution,[],[f3355,f1686]) ).
fof(f1686,plain,
( e20 != e22
| spl20_245 ),
inference(avatar_component_clause,[],[f1684]) ).
fof(f1684,plain,
( spl20_245
<=> e20 = e22 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_245])]) ).
fof(f3355,plain,
( e20 = e22
| ~ spl20_54
| ~ spl20_191 ),
inference(backward_demodulation,[],[f684,f1338]) ).
fof(f1338,plain,
( e20 = op2(e22,e23)
| ~ spl20_191 ),
inference(avatar_component_clause,[],[f1336]) ).
fof(f1336,plain,
( spl20_191
<=> e20 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_191])]) ).
fof(f684,plain,
( e22 = op2(e22,e23)
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f683]) ).
fof(f683,plain,
( spl20_54
<=> e22 = op2(e22,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f3341,plain,
( ~ spl20_45
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2493,f713,f643]) ).
fof(f643,plain,
( spl20_45
<=> e23 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f713,plain,
( spl20_61
<=> e23 = h3(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f2493,plain,
( e23 != op2(e21,e22)
| ~ spl20_61 ),
inference(forward_demodulation,[],[f1795,f714]) ).
fof(f714,plain,
( e23 = h3(e13)
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f713]) ).
fof(f1795,plain,
op2(e21,e22) != h3(e13),
inference(backward_demodulation,[],[f197,f385]) ).
fof(f385,plain,
op2(e22,e22) = h3(e13),
inference(cnf_transformation,[],[f16]) ).
fof(f16,axiom,
( op2(e22,e22) = h3(e13)
& op2(op2(e22,e22),op2(e22,e22)) = h3(e10)
& e22 = h3(e12)
& op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f197,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
( op2(e22,e23) != op2(e23,e23)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e21,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e21,e20) != op2(e21,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e20,e22) != op2(e20,e23)
& op2(e23,e20) != op2(e23,e22)
& op2(e21,e20) != op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e23,e21) != op2(e23,e22)
& op2(e22,e20) != op2(e23,e20)
& op2(e21,e23) != op2(e22,e23)
& op2(e23,e22) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e20) != op2(e22,e20)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e23)
& op2(e21,e20) != op2(e22,e20)
& op2(e22,e21) != op2(e22,e22)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e20,e21)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e21) != op2(e22,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e20,e22) != op2(e21,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e22,e20) != op2(e22,e22)
& op2(e20,e21) != op2(e21,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e22,e20) != op2(e22,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e21) != op2(e23,e21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f3333,plain,
( ~ spl20_18
| ~ spl20_246 ),
inference(avatar_split_clause,[],[f3016,f1689,f526]) ).
fof(f526,plain,
( spl20_18
<=> e21 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f1689,plain,
( spl20_246
<=> e21 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_246])]) ).
fof(f3016,plain,
( e21 != op2(e21,e21)
| ~ spl20_246 ),
inference(forward_demodulation,[],[f216,f1691]) ).
fof(f1691,plain,
( e21 = op2(e22,e21)
| ~ spl20_246 ),
inference(avatar_component_clause,[],[f1689]) ).
fof(f216,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f3332,plain,
( ~ spl20_160
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f2608,f683,f1180]) ).
fof(f1180,plain,
( spl20_160
<=> e22 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_160])]) ).
fof(f2608,plain,
( e22 != op2(e22,e20)
| ~ spl20_54 ),
inference(forward_demodulation,[],[f179,f684]) ).
fof(f179,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f3314,plain,
( ~ spl20_80
| spl20_69
| ~ spl20_81
| ~ spl20_106
| ~ spl20_112 ),
inference(avatar_split_clause,[],[f3313,f943,f912,f795,f745,f790]) ).
fof(f790,plain,
( spl20_80
<=> e20 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f745,plain,
( spl20_69
<=> h3(op1(e12,e10)) = op2(h3(e12),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f795,plain,
( spl20_81
<=> e22 = h3(e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f912,plain,
( spl20_106
<=> e20 = h3(e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f943,plain,
( spl20_112
<=> e10 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f3313,plain,
( e20 != op2(e22,e20)
| spl20_69
| ~ spl20_81
| ~ spl20_106
| ~ spl20_112 ),
inference(forward_demodulation,[],[f3312,f913]) ).
fof(f913,plain,
( e20 = h3(e10)
| ~ spl20_106 ),
inference(avatar_component_clause,[],[f912]) ).
fof(f3312,plain,
( op2(e22,e20) != h3(e10)
| spl20_69
| ~ spl20_81
| ~ spl20_106
| ~ spl20_112 ),
inference(forward_demodulation,[],[f3311,f945]) ).
fof(f945,plain,
( e10 = op1(e12,e10)
| ~ spl20_112 ),
inference(avatar_component_clause,[],[f943]) ).
fof(f3311,plain,
( op2(e22,e20) != h3(op1(e12,e10))
| spl20_69
| ~ spl20_81
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3310,f796]) ).
fof(f796,plain,
( e22 = h3(e12)
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f795]) ).
fof(f3310,plain,
( h3(op1(e12,e10)) != op2(h3(e12),e20)
| spl20_69
| ~ spl20_106 ),
inference(forward_demodulation,[],[f747,f913]) ).
fof(f747,plain,
( h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| spl20_69 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f3297,plain,
( ~ spl20_51
| ~ spl20_61
| spl20_65
| ~ spl20_81 ),
inference(avatar_contradiction_clause,[],[f3296]) ).
fof(f3296,plain,
( $false
| ~ spl20_51
| ~ spl20_61
| spl20_65
| ~ spl20_81 ),
inference(subsumption_resolution,[],[f3295,f671]) ).
fof(f671,plain,
( e23 = op2(e22,e22)
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f669,plain,
( spl20_51
<=> e23 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f3295,plain,
( e23 != op2(e22,e22)
| ~ spl20_61
| spl20_65
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3294,f714]) ).
fof(f3294,plain,
( op2(e22,e22) != h3(e13)
| spl20_65
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3293,f75]) ).
fof(f75,plain,
e13 = op1(e12,e12),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
( e13 = op1(e12,e12)
& e10 = op1(op1(e12,e12),op1(e12,e12))
& e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f3293,plain,
( op2(e22,e22) != h3(op1(e12,e12))
| spl20_65
| ~ spl20_81 ),
inference(forward_demodulation,[],[f731,f796]) ).
fof(f731,plain,
( h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| spl20_65 ),
inference(avatar_component_clause,[],[f729]) ).
fof(f729,plain,
( spl20_65
<=> h3(op1(e12,e12)) = op2(h3(e12),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f3273,plain,
( spl20_78
| ~ spl20_81
| ~ spl20_141
| ~ spl20_234
| ~ spl20_249 ),
inference(avatar_contradiction_clause,[],[f3272]) ).
fof(f3272,plain,
( $false
| spl20_78
| ~ spl20_81
| ~ spl20_141
| ~ spl20_234
| ~ spl20_249 ),
inference(subsumption_resolution,[],[f3271,f1081]) ).
fof(f1081,plain,
( e22 = op2(e21,e22)
| ~ spl20_141 ),
inference(avatar_component_clause,[],[f1079]) ).
fof(f1079,plain,
( spl20_141
<=> e22 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_141])]) ).
fof(f3271,plain,
( e22 != op2(e21,e22)
| spl20_78
| ~ spl20_81
| ~ spl20_234
| ~ spl20_249 ),
inference(forward_demodulation,[],[f3270,f796]) ).
fof(f3270,plain,
( op2(e21,e22) != h3(e12)
| spl20_78
| ~ spl20_81
| ~ spl20_234
| ~ spl20_249 ),
inference(forward_demodulation,[],[f3269,f1715]) ).
fof(f1715,plain,
( e12 = op1(e11,e12)
| ~ spl20_249 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1713,plain,
( spl20_249
<=> e12 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_249])]) ).
fof(f3269,plain,
( op2(e21,e22) != h3(op1(e11,e12))
| spl20_78
| ~ spl20_81
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3268,f1600]) ).
fof(f1600,plain,
( e21 = h3(e11)
| ~ spl20_234 ),
inference(avatar_component_clause,[],[f1599]) ).
fof(f1599,plain,
( spl20_234
<=> e21 = h3(e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_234])]) ).
fof(f3268,plain,
( h3(op1(e11,e12)) != op2(h3(e11),e22)
| spl20_78
| ~ spl20_81 ),
inference(forward_demodulation,[],[f783,f796]) ).
fof(f783,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| spl20_78 ),
inference(avatar_component_clause,[],[f781]) ).
fof(f781,plain,
( spl20_78
<=> h3(op1(e11,e12)) = op2(h3(e11),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f3257,plain,
( ~ spl20_44
| ~ spl20_61
| spl20_76
| ~ spl20_106
| ~ spl20_139
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3256]) ).
fof(f3256,plain,
( $false
| ~ spl20_44
| ~ spl20_61
| spl20_76
| ~ spl20_106
| ~ spl20_139
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3255,f640]) ).
fof(f640,plain,
( e21 = op2(e20,e23)
| ~ spl20_44 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f638,plain,
( spl20_44
<=> e21 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f3255,plain,
( e21 != op2(e20,e23)
| ~ spl20_61
| spl20_76
| ~ spl20_106
| ~ spl20_139
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3254,f1600]) ).
fof(f3254,plain,
( op2(e20,e23) != h3(e11)
| ~ spl20_61
| spl20_76
| ~ spl20_106
| ~ spl20_139 ),
inference(forward_demodulation,[],[f3253,f1068]) ).
fof(f1068,plain,
( e11 = op1(e10,e13)
| ~ spl20_139 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1066,plain,
( spl20_139
<=> e11 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_139])]) ).
fof(f3253,plain,
( op2(e20,e23) != h3(op1(e10,e13))
| ~ spl20_61
| spl20_76
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3252,f913]) ).
fof(f3252,plain,
( h3(op1(e10,e13)) != op2(h3(e10),e23)
| ~ spl20_61
| spl20_76 ),
inference(forward_demodulation,[],[f775,f714]) ).
fof(f775,plain,
( h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| spl20_76 ),
inference(avatar_component_clause,[],[f773]) ).
fof(f773,plain,
( spl20_76
<=> h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f3238,plain,
( ~ spl20_61
| spl20_77
| ~ spl20_106
| ~ spl20_186
| ~ spl20_187 ),
inference(avatar_contradiction_clause,[],[f3237]) ).
fof(f3237,plain,
( $false
| ~ spl20_61
| spl20_77
| ~ spl20_106
| ~ spl20_186
| ~ spl20_187 ),
inference(subsumption_resolution,[],[f3236,f1307]) ).
fof(f1307,plain,
( op2(e20,e20) = e23
| ~ spl20_186 ),
inference(avatar_component_clause,[],[f1305]) ).
fof(f1305,plain,
( spl20_186
<=> op2(e20,e20) = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_186])]) ).
fof(f3236,plain,
( op2(e20,e20) != e23
| ~ spl20_61
| spl20_77
| ~ spl20_106
| ~ spl20_187 ),
inference(forward_demodulation,[],[f3235,f714]) ).
fof(f3235,plain,
( op2(e20,e20) != h3(e13)
| spl20_77
| ~ spl20_106
| ~ spl20_187 ),
inference(forward_demodulation,[],[f3234,f1316]) ).
fof(f1316,plain,
( op1(e10,e10) = e13
| ~ spl20_187 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1314,plain,
( spl20_187
<=> op1(e10,e10) = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_187])]) ).
fof(f3234,plain,
( op2(e20,e20) != h3(op1(e10,e10))
| spl20_77
| ~ spl20_106 ),
inference(forward_demodulation,[],[f779,f913]) ).
fof(f779,plain,
( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| spl20_77 ),
inference(avatar_component_clause,[],[f777]) ).
fof(f777,plain,
( spl20_77
<=> h3(op1(e10,e10)) = op2(h3(e10),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f3227,plain,
( ~ spl20_55
| spl20_75
| ~ spl20_106
| ~ spl20_234
| ~ spl20_256 ),
inference(avatar_contradiction_clause,[],[f3226]) ).
fof(f3226,plain,
( $false
| ~ spl20_55
| spl20_75
| ~ spl20_106
| ~ spl20_234
| ~ spl20_256 ),
inference(subsumption_resolution,[],[f3225,f690]) ).
fof(f690,plain,
( e20 = op2(e21,e21)
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f688,plain,
( spl20_55
<=> e20 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f3225,plain,
( e20 != op2(e21,e21)
| spl20_75
| ~ spl20_106
| ~ spl20_234
| ~ spl20_256 ),
inference(forward_demodulation,[],[f3224,f913]) ).
fof(f3224,plain,
( op2(e21,e21) != h3(e10)
| spl20_75
| ~ spl20_234
| ~ spl20_256 ),
inference(forward_demodulation,[],[f3223,f1749]) ).
fof(f1749,plain,
( e10 = op1(e11,e11)
| ~ spl20_256 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1747,plain,
( spl20_256
<=> e10 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_256])]) ).
fof(f3223,plain,
( op2(e21,e21) != h3(op1(e11,e11))
| spl20_75
| ~ spl20_234 ),
inference(forward_demodulation,[],[f771,f1600]) ).
fof(f771,plain,
( h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| spl20_75 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f769,plain,
( spl20_75
<=> h3(op1(e11,e11)) = op2(h3(e11),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f3199,plain,
( ~ spl20_10
| ~ spl20_54
| ~ spl20_61
| spl20_74
| ~ spl20_81 ),
inference(avatar_contradiction_clause,[],[f3198]) ).
fof(f3198,plain,
( $false
| ~ spl20_10
| ~ spl20_54
| ~ spl20_61
| spl20_74
| ~ spl20_81 ),
inference(subsumption_resolution,[],[f3197,f684]) ).
fof(f3197,plain,
( e22 != op2(e22,e23)
| ~ spl20_10
| ~ spl20_61
| spl20_74
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3196,f796]) ).
fof(f3196,plain,
( op2(e22,e23) != h3(e12)
| ~ spl20_10
| ~ spl20_61
| spl20_74
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3195,f492]) ).
fof(f492,plain,
( e12 = op1(e12,e13)
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f490]) ).
fof(f490,plain,
( spl20_10
<=> e12 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f3195,plain,
( op2(e22,e23) != h3(op1(e12,e13))
| ~ spl20_61
| spl20_74
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3194,f796]) ).
fof(f3194,plain,
( h3(op1(e12,e13)) != op2(h3(e12),e23)
| ~ spl20_61
| spl20_74 ),
inference(forward_demodulation,[],[f767,f714]) ).
fof(f767,plain,
( h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| spl20_74 ),
inference(avatar_component_clause,[],[f765]) ).
fof(f765,plain,
( spl20_74
<=> h3(op1(e12,e13)) = op2(h3(e12),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f3189,plain,
( ~ spl20_61
| spl20_72
| ~ spl20_99
| ~ spl20_106
| ~ spl20_161 ),
inference(avatar_contradiction_clause,[],[f3188]) ).
fof(f3188,plain,
( $false
| ~ spl20_61
| spl20_72
| ~ spl20_99
| ~ spl20_106
| ~ spl20_161 ),
inference(subsumption_resolution,[],[f3187,f1190]) ).
fof(f1190,plain,
( e20 = op2(e23,e23)
| ~ spl20_161 ),
inference(avatar_component_clause,[],[f1188]) ).
fof(f1188,plain,
( spl20_161
<=> e20 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_161])]) ).
fof(f3187,plain,
( e20 != op2(e23,e23)
| ~ spl20_61
| spl20_72
| ~ spl20_99
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3186,f913]) ).
fof(f3186,plain,
( op2(e23,e23) != h3(e10)
| ~ spl20_61
| spl20_72
| ~ spl20_99 ),
inference(forward_demodulation,[],[f3185,f880]) ).
fof(f880,plain,
( e10 = op1(e13,e13)
| ~ spl20_99 ),
inference(avatar_component_clause,[],[f878]) ).
fof(f878,plain,
( spl20_99
<=> e10 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f3185,plain,
( op2(e23,e23) != h3(op1(e13,e13))
| ~ spl20_61
| spl20_72 ),
inference(forward_demodulation,[],[f759,f714]) ).
fof(f759,plain,
( h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| spl20_72 ),
inference(avatar_component_clause,[],[f757]) ).
fof(f757,plain,
( spl20_72
<=> h3(op1(e13,e13)) = op2(h3(e13),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f3171,plain,
( ~ spl20_22
| spl20_73
| ~ spl20_81
| ~ spl20_97
| ~ spl20_106 ),
inference(avatar_contradiction_clause,[],[f3170]) ).
fof(f3170,plain,
( $false
| ~ spl20_22
| spl20_73
| ~ spl20_81
| ~ spl20_97
| ~ spl20_106 ),
inference(subsumption_resolution,[],[f3169,f867]) ).
fof(f867,plain,
( e20 = op2(e20,e22)
| ~ spl20_97 ),
inference(avatar_component_clause,[],[f866]) ).
fof(f866,plain,
( spl20_97
<=> e20 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f3169,plain,
( e20 != op2(e20,e22)
| ~ spl20_22
| spl20_73
| ~ spl20_81
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3168,f913]) ).
fof(f3168,plain,
( op2(e20,e22) != h3(e10)
| ~ spl20_22
| spl20_73
| ~ spl20_81
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3167,f545]) ).
fof(f545,plain,
( e10 = op1(e10,e12)
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f543,plain,
( spl20_22
<=> e10 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f3167,plain,
( op2(e20,e22) != h3(op1(e10,e12))
| spl20_73
| ~ spl20_81
| ~ spl20_106 ),
inference(forward_demodulation,[],[f3166,f913]) ).
fof(f3166,plain,
( h3(op1(e10,e12)) != op2(h3(e10),e22)
| spl20_73
| ~ spl20_81 ),
inference(forward_demodulation,[],[f763,f796]) ).
fof(f763,plain,
( h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| spl20_73 ),
inference(avatar_component_clause,[],[f761]) ).
fof(f761,plain,
( spl20_73
<=> h3(op1(e10,e12)) = op2(h3(e10),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f3125,plain,
( ~ spl20_30
| spl20_70
| ~ spl20_81
| ~ spl20_234
| ~ spl20_246 ),
inference(avatar_contradiction_clause,[],[f3124]) ).
fof(f3124,plain,
( $false
| ~ spl20_30
| spl20_70
| ~ spl20_81
| ~ spl20_234
| ~ spl20_246 ),
inference(subsumption_resolution,[],[f3123,f1691]) ).
fof(f3123,plain,
( e21 != op2(e22,e21)
| ~ spl20_30
| spl20_70
| ~ spl20_81
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3122,f1600]) ).
fof(f3122,plain,
( op2(e22,e21) != h3(e11)
| ~ spl20_30
| spl20_70
| ~ spl20_81
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3121,f579]) ).
fof(f579,plain,
( e11 = op1(e12,e11)
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f577,plain,
( spl20_30
<=> e11 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f3121,plain,
( op2(e22,e21) != h3(op1(e12,e11))
| spl20_70
| ~ spl20_81
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3120,f796]) ).
fof(f3120,plain,
( h3(op1(e12,e11)) != op2(h3(e12),e21)
| spl20_70
| ~ spl20_234 ),
inference(forward_demodulation,[],[f751,f1600]) ).
fof(f751,plain,
( h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| spl20_70 ),
inference(avatar_component_clause,[],[f749]) ).
fof(f749,plain,
( spl20_70
<=> h3(op1(e12,e11)) = op2(h3(e12),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f3111,plain,
( ~ spl20_61
| spl20_67
| ~ spl20_81
| ~ spl20_92
| ~ spl20_115
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3110]) ).
fof(f3110,plain,
( $false
| ~ spl20_61
| spl20_67
| ~ spl20_81
| ~ spl20_92
| ~ spl20_115
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3109,f958]) ).
fof(f958,plain,
( e21 = op2(e23,e22)
| ~ spl20_115 ),
inference(avatar_component_clause,[],[f956]) ).
fof(f956,plain,
( spl20_115
<=> e21 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).
fof(f3109,plain,
( e21 != op2(e23,e22)
| ~ spl20_61
| spl20_67
| ~ spl20_81
| ~ spl20_92
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3108,f1600]) ).
fof(f3108,plain,
( op2(e23,e22) != h3(e11)
| ~ spl20_61
| spl20_67
| ~ spl20_81
| ~ spl20_92 ),
inference(forward_demodulation,[],[f3107,f847]) ).
fof(f847,plain,
( e11 = op1(e13,e12)
| ~ spl20_92 ),
inference(avatar_component_clause,[],[f845]) ).
fof(f845,plain,
( spl20_92
<=> e11 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f3107,plain,
( op2(e23,e22) != h3(op1(e13,e12))
| ~ spl20_61
| spl20_67
| ~ spl20_81 ),
inference(forward_demodulation,[],[f3106,f714]) ).
fof(f3106,plain,
( h3(op1(e13,e12)) != op2(h3(e13),e22)
| spl20_67
| ~ spl20_81 ),
inference(forward_demodulation,[],[f739,f796]) ).
fof(f739,plain,
( h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| spl20_67 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f737,plain,
( spl20_67
<=> h3(op1(e13,e12)) = op2(h3(e13),h3(e12)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f3093,plain,
( ~ spl20_11
| ~ spl20_61
| spl20_68
| ~ spl20_150
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3092]) ).
fof(f3092,plain,
( $false
| ~ spl20_11
| ~ spl20_61
| spl20_68
| ~ spl20_150
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3091,f1126]) ).
fof(f1126,plain,
( e23 = op2(e23,e21)
| ~ spl20_150 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1124,plain,
( spl20_150
<=> e23 = op2(e23,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_150])]) ).
fof(f3091,plain,
( e23 != op2(e23,e21)
| ~ spl20_11
| ~ spl20_61
| spl20_68
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3090,f714]) ).
fof(f3090,plain,
( op2(e23,e21) != h3(e13)
| ~ spl20_11
| ~ spl20_61
| spl20_68
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3089,f495]) ).
fof(f495,plain,
( e13 = op1(e13,e11)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f494,plain,
( spl20_11
<=> e13 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f3089,plain,
( op2(e23,e21) != h3(op1(e13,e11))
| ~ spl20_61
| spl20_68
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3088,f714]) ).
fof(f3088,plain,
( h3(op1(e13,e11)) != op2(h3(e13),e21)
| spl20_68
| ~ spl20_234 ),
inference(forward_demodulation,[],[f743,f1600]) ).
fof(f743,plain,
( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| spl20_68 ),
inference(avatar_component_clause,[],[f741]) ).
fof(f741,plain,
( spl20_68
<=> h3(op1(e13,e11)) = op2(h3(e13),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f3067,plain,
( ~ spl20_37
| spl20_63
| ~ spl20_81
| ~ spl20_85
| ~ spl20_106
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3066]) ).
fof(f3066,plain,
( $false
| ~ spl20_37
| spl20_63
| ~ spl20_81
| ~ spl20_85
| ~ spl20_106
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3065,f815]) ).
fof(f815,plain,
( e22 = op2(e20,e21)
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f813,plain,
( spl20_85
<=> e22 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f3065,plain,
( e22 != op2(e20,e21)
| ~ spl20_37
| spl20_63
| ~ spl20_81
| ~ spl20_106
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3064,f796]) ).
fof(f3064,plain,
( op2(e20,e21) != h3(e12)
| ~ spl20_37
| spl20_63
| ~ spl20_106
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3063,f610]) ).
fof(f610,plain,
( e12 = op1(e10,e11)
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f608]) ).
fof(f608,plain,
( spl20_37
<=> e12 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f3063,plain,
( op2(e20,e21) != h3(op1(e10,e11))
| spl20_63
| ~ spl20_106
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3062,f913]) ).
fof(f3062,plain,
( h3(op1(e10,e11)) != op2(h3(e10),e21)
| spl20_63
| ~ spl20_234 ),
inference(forward_demodulation,[],[f723,f1600]) ).
fof(f723,plain,
( h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| spl20_63 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f721,plain,
( spl20_63
<=> h3(op1(e10,e11)) = op2(h3(e10),h3(e11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f3057,plain,
( ~ spl20_1
| ~ spl20_46
| ~ spl20_61
| spl20_64
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3056]) ).
fof(f3056,plain,
( $false
| ~ spl20_1
| ~ spl20_46
| ~ spl20_61
| spl20_64
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3055,f649]) ).
fof(f649,plain,
( e23 = op2(e21,e23)
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl20_46
<=> e23 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f3055,plain,
( e23 != op2(e21,e23)
| ~ spl20_1
| ~ spl20_61
| spl20_64
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3054,f714]) ).
fof(f3054,plain,
( op2(e21,e23) != h3(e13)
| ~ spl20_1
| ~ spl20_61
| spl20_64
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3053,f453]) ).
fof(f453,plain,
( e13 = op1(e11,e13)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f451]) ).
fof(f451,plain,
( spl20_1
<=> e13 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f3053,plain,
( op2(e21,e23) != h3(op1(e11,e13))
| ~ spl20_61
| spl20_64
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3052,f1600]) ).
fof(f3052,plain,
( h3(op1(e11,e13)) != op2(h3(e11),e23)
| ~ spl20_61
| spl20_64 ),
inference(forward_demodulation,[],[f727,f714]) ).
fof(f727,plain,
( h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| spl20_64 ),
inference(avatar_component_clause,[],[f725]) ).
fof(f725,plain,
( spl20_64
<=> h3(op1(e11,e13)) = op2(h3(e11),h3(e13)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f3045,plain,
( spl20_60
| ~ spl20_96
| ~ spl20_106
| ~ spl20_143
| ~ spl20_234 ),
inference(avatar_contradiction_clause,[],[f3044]) ).
fof(f3044,plain,
( $false
| spl20_60
| ~ spl20_96
| ~ spl20_106
| ~ spl20_143
| ~ spl20_234 ),
inference(subsumption_resolution,[],[f3043,f864]) ).
fof(f864,plain,
( e21 = op2(e21,e20)
| ~ spl20_96 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f862,plain,
( spl20_96
<=> e21 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f3043,plain,
( e21 != op2(e21,e20)
| spl20_60
| ~ spl20_106
| ~ spl20_143
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3042,f1600]) ).
fof(f3042,plain,
( op2(e21,e20) != h3(e11)
| spl20_60
| ~ spl20_106
| ~ spl20_143
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3041,f1091]) ).
fof(f1091,plain,
( e11 = op1(e11,e10)
| ~ spl20_143 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1089,plain,
( spl20_143
<=> e11 = op1(e11,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_143])]) ).
fof(f3041,plain,
( op2(e21,e20) != h3(op1(e11,e10))
| spl20_60
| ~ spl20_106
| ~ spl20_234 ),
inference(forward_demodulation,[],[f3040,f1600]) ).
fof(f3040,plain,
( h3(op1(e11,e10)) != op2(h3(e11),e20)
| spl20_60
| ~ spl20_106 ),
inference(forward_demodulation,[],[f711,f913]) ).
fof(f711,plain,
( h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| spl20_60 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f709,plain,
( spl20_60
<=> h3(op1(e11,e10)) = op2(h3(e11),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f2990,plain,
( spl20_59
| ~ spl20_61
| ~ spl20_81
| ~ spl20_106
| ~ spl20_149
| ~ spl20_226 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
fof(f2989,plain,
( $false
| spl20_59
| ~ spl20_61
| ~ spl20_81
| ~ spl20_106
| ~ spl20_149
| ~ spl20_226 ),
inference(subsumption_resolution,[],[f2820,f1540]) ).
fof(f1540,plain,
( e22 = op2(e23,e20)
| ~ spl20_226 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1538,plain,
( spl20_226
<=> e22 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_226])]) ).
fof(f2820,plain,
( e22 != op2(e23,e20)
| spl20_59
| ~ spl20_61
| ~ spl20_81
| ~ spl20_106
| ~ spl20_149 ),
inference(forward_demodulation,[],[f2819,f796]) ).
fof(f2819,plain,
( op2(e23,e20) != h3(e12)
| spl20_59
| ~ spl20_61
| ~ spl20_106
| ~ spl20_149 ),
inference(backward_demodulation,[],[f2183,f1121]) ).
fof(f1121,plain,
( e12 = op1(e13,e10)
| ~ spl20_149 ),
inference(avatar_component_clause,[],[f1119]) ).
fof(f1119,plain,
( spl20_149
<=> e12 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_149])]) ).
fof(f2183,plain,
( op2(e23,e20) != h3(op1(e13,e10))
| spl20_59
| ~ spl20_61
| ~ spl20_106 ),
inference(forward_demodulation,[],[f2182,f714]) ).
fof(f2182,plain,
( h3(op1(e13,e10)) != op2(h3(e13),e20)
| spl20_59
| ~ spl20_106 ),
inference(forward_demodulation,[],[f707,f913]) ).
fof(f707,plain,
( h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| spl20_59 ),
inference(avatar_component_clause,[],[f705]) ).
fof(f705,plain,
( spl20_59
<=> h3(op1(e13,e10)) = op2(h3(e13),h3(e10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f2971,plain,
( ~ spl20_254
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f2970,f862,f1737]) ).
fof(f1737,plain,
( spl20_254
<=> e21 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_254])]) ).
fof(f2970,plain,
( e21 != op2(e22,e20)
| ~ spl20_96 ),
inference(backward_demodulation,[],[f193,f864]) ).
fof(f193,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2952,plain,
( ~ spl20_17
| ~ spl20_147
| spl20_257 ),
inference(avatar_contradiction_clause,[],[f2951]) ).
fof(f2951,plain,
( $false
| ~ spl20_17
| ~ spl20_147
| spl20_257 ),
inference(subsumption_resolution,[],[f2949,f1769]) ).
fof(f1769,plain,
( e20 != e23
| spl20_257 ),
inference(avatar_component_clause,[],[f1767]) ).
fof(f1767,plain,
( spl20_257
<=> e20 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_257])]) ).
fof(f2949,plain,
( e20 = e23
| ~ spl20_17
| ~ spl20_147 ),
inference(backward_demodulation,[],[f1112,f524]) ).
fof(f524,plain,
( e20 = op2(e20,e21)
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f522,plain,
( spl20_17
<=> e20 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f1112,plain,
( e23 = op2(e20,e21)
| ~ spl20_147 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1110,plain,
( spl20_147
<=> e23 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_147])]) ).
fof(f2937,plain,
( ~ spl20_51
| ~ spl20_228
| spl20_257 ),
inference(avatar_contradiction_clause,[],[f2936]) ).
fof(f2936,plain,
( $false
| ~ spl20_51
| ~ spl20_228
| spl20_257 ),
inference(subsumption_resolution,[],[f2935,f1769]) ).
fof(f2935,plain,
( e20 = e23
| ~ spl20_51
| ~ spl20_228 ),
inference(backward_demodulation,[],[f671,f1562]) ).
fof(f1562,plain,
( e20 = op2(e22,e22)
| ~ spl20_228 ),
inference(avatar_component_clause,[],[f1560]) ).
fof(f1560,plain,
( spl20_228
<=> e20 = op2(e22,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_228])]) ).
fof(f2933,plain,
( ~ spl20_19
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f2816,f683,f530]) ).
fof(f530,plain,
( spl20_19
<=> e22 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f2816,plain,
( e22 != op2(e22,e21)
| ~ spl20_54 ),
inference(forward_demodulation,[],[f188,f684]) ).
fof(f188,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2928,plain,
( ~ spl20_239
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2263,f713,f1629]) ).
fof(f1629,plain,
( spl20_239
<=> e23 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_239])]) ).
fof(f2263,plain,
( e23 != op2(e22,e21)
| ~ spl20_61 ),
inference(forward_demodulation,[],[f1794,f714]) ).
fof(f1794,plain,
op2(e22,e21) != h3(e13),
inference(backward_demodulation,[],[f192,f385]) ).
fof(f192,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2902,plain,
( ~ spl20_147
| ~ spl20_150 ),
inference(avatar_split_clause,[],[f2901,f1124,f1110]) ).
fof(f2901,plain,
( e23 != op2(e20,e21)
| ~ spl20_150 ),
inference(backward_demodulation,[],[f176,f1126]) ).
fof(f176,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2874,plain,
( ~ spl20_150
| ~ spl20_95 ),
inference(avatar_split_clause,[],[f2873,f858,f1124]) ).
fof(f858,plain,
( spl20_95
<=> e23 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f2873,plain,
( e23 != op2(e23,e21)
| ~ spl20_95 ),
inference(forward_demodulation,[],[f218,f860]) ).
fof(f860,plain,
( e23 = op2(e23,e20)
| ~ spl20_95 ),
inference(avatar_component_clause,[],[f858]) ).
fof(f218,plain,
op2(e23,e20) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2809,plain,
( ~ spl20_116
| ~ spl20_242 ),
inference(avatar_split_clause,[],[f2808,f1664,f960]) ).
fof(f960,plain,
( spl20_116
<=> e20 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).
fof(f1664,plain,
( spl20_242
<=> e20 = h4(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_242])]) ).
fof(f2808,plain,
( e20 != op2(e23,e22)
| ~ spl20_242 ),
inference(forward_demodulation,[],[f1455,f1665]) ).
fof(f1665,plain,
( e20 = h4(e13)
| ~ spl20_242 ),
inference(avatar_component_clause,[],[f1664]) ).
fof(f1455,plain,
op2(e23,e22) != h4(e13),
inference(backward_demodulation,[],[f202,f83]) ).
fof(f83,plain,
op2(e23,e23) = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
( op2(e23,e23) = h4(e13)
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& e23 = h4(e12)
& h4(e11) = op2(op2(op2(e23,e23),op2(e23,e23)),op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f202,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2784,plain,
( ~ spl20_230
| ~ spl20_54 ),
inference(avatar_split_clause,[],[f2626,f683,f1569]) ).
fof(f1569,plain,
( spl20_230
<=> e22 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_230])]) ).
fof(f2626,plain,
( e22 != op2(e21,e23)
| ~ spl20_54 ),
inference(forward_demodulation,[],[f203,f684]) ).
fof(f203,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2781,plain,
( ~ spl20_47
| ~ spl20_46 ),
inference(avatar_split_clause,[],[f2780,f647,f651]) ).
fof(f651,plain,
( spl20_47
<=> e23 = op2(e21,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f2780,plain,
( e23 != op2(e21,e21)
| ~ spl20_46 ),
inference(backward_demodulation,[],[f221,f649]) ).
fof(f221,plain,
op2(e21,e21) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2744,plain,
( ~ spl20_93
| ~ spl20_92 ),
inference(avatar_split_clause,[],[f2743,f845,f849]) ).
fof(f849,plain,
( spl20_93
<=> e11 = op1(e11,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f2743,plain,
( e11 != op1(e11,e12)
| ~ spl20_92 ),
inference(forward_demodulation,[],[f294,f847]) ).
fof(f294,plain,
op1(e11,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( op1(e12,e10) != op1(e12,e12)
& op1(e10,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e12) != op1(e13,e12)
& op1(e11,e10) != op1(e12,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e12,e10) != op1(e13,e10)
& op1(e11,e13) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e13)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e12) != op1(e12,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e13,e12) != op1(e13,e13)
& op1(e10,e12) != op1(e11,e12)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e10,e13)
& op1(e13,e10) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e11,e13)
& op1(e10,e11) != op1(e13,e11)
& op1(e12,e13) != op1(e13,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e10,e10) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e10,e11) != op1(e10,e13)
& op1(e12,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e12,e11) != op1(e12,e12)
& op1(e10,e11) != op1(e12,e11)
& op1(e13,e10) != op1(e13,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e10) != op1(e12,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e11) != op1(e13,e12)
& op1(e12,e12) != op1(e12,e13)
& op1(e11,e10) != op1(e13,e10)
& op1(e10,e10) != op1(e11,e10)
& op1(e13,e11) != op1(e13,e13)
& op1(e10,e13) != op1(e13,e13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f2731,plain,
( ~ spl20_33
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2370,f713,f590]) ).
fof(f590,plain,
( spl20_33
<=> e23 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f2370,plain,
( e23 != op2(e23,e22)
| ~ spl20_61 ),
inference(forward_demodulation,[],[f1792,f714]) ).
fof(f1792,plain,
op2(e23,e22) != h3(e13),
inference(backward_demodulation,[],[f177,f385]) ).
fof(f177,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2729,plain,
( ~ spl20_117
| ~ spl20_141 ),
inference(avatar_split_clause,[],[f2728,f1079,f964]) ).
fof(f964,plain,
( spl20_117
<=> e22 = op2(e23,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f2728,plain,
( e22 != op2(e23,e22)
| ~ spl20_141 ),
inference(forward_demodulation,[],[f196,f1081]) ).
fof(f196,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2720,plain,
( ~ spl20_61
| ~ spl20_188 ),
inference(avatar_contradiction_clause,[],[f2719]) ).
fof(f2719,plain,
( $false
| ~ spl20_61
| ~ spl20_188 ),
inference(subsumption_resolution,[],[f2246,f1323]) ).
fof(f1323,plain,
( e23 = op2(e22,e20)
| ~ spl20_188 ),
inference(avatar_component_clause,[],[f1321]) ).
fof(f1321,plain,
( spl20_188
<=> e23 = op2(e22,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_188])]) ).
fof(f2246,plain,
( e23 != op2(e22,e20)
| ~ spl20_61 ),
inference(forward_demodulation,[],[f1793,f714]) ).
fof(f1793,plain,
op2(e22,e20) != h3(e13),
inference(backward_demodulation,[],[f182,f385]) ).
fof(f182,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2715,plain,
( ~ spl20_57
| ~ spl20_242 ),
inference(avatar_contradiction_clause,[],[f2714]) ).
fof(f2714,plain,
( $false
| ~ spl20_57
| ~ spl20_242 ),
inference(subsumption_resolution,[],[f2713,f698]) ).
fof(f698,plain,
( e20 = op2(e21,e23)
| ~ spl20_57 ),
inference(avatar_component_clause,[],[f696]) ).
fof(f696,plain,
( spl20_57
<=> e20 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f2713,plain,
( e20 != op2(e21,e23)
| ~ spl20_242 ),
inference(forward_demodulation,[],[f1451,f1665]) ).
fof(f1451,plain,
op2(e21,e23) != h4(e13),
inference(backward_demodulation,[],[f186,f83]) ).
fof(f186,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2674,plain,
( ~ spl20_241
| ~ spl20_155 ),
inference(avatar_split_clause,[],[f2673,f1153,f1642]) ).
fof(f1642,plain,
( spl20_241
<=> e12 = op1(e10,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_241])]) ).
fof(f1153,plain,
( spl20_155
<=> e12 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_155])]) ).
fof(f2673,plain,
( e12 != op1(e10,e12)
| ~ spl20_155 ),
inference(forward_demodulation,[],[f295,f1155]) ).
fof(f1155,plain,
( e12 = op1(e13,e12)
| ~ spl20_155 ),
inference(avatar_component_clause,[],[f1153]) ).
fof(f295,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2668,plain,
( spl20_144
| ~ spl20_187
| ~ spl20_266 ),
inference(avatar_contradiction_clause,[],[f2667]) ).
fof(f2667,plain,
( $false
| spl20_144
| ~ spl20_187
| ~ spl20_266 ),
inference(subsumption_resolution,[],[f2666,f1097]) ).
fof(f1097,plain,
( e12 != e13
| spl20_144 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1095,plain,
( spl20_144
<=> e12 = e13 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_144])]) ).
fof(f2666,plain,
( e12 = e13
| ~ spl20_187
| ~ spl20_266 ),
inference(backward_demodulation,[],[f1316,f1857]) ).
fof(f1857,plain,
( op1(e10,e10) = e12
| ~ spl20_266 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1855,plain,
( spl20_266
<=> op1(e10,e10) = e12 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_266])]) ).
fof(f2663,plain,
~ spl20_28,
inference(avatar_contradiction_clause,[],[f2662]) ).
fof(f2662,plain,
( $false
| ~ spl20_28 ),
inference(subsumption_resolution,[],[f2661,f269]) ).
fof(f269,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
( e11 != e13
& e10 != e11
& e12 != e13
& e10 != e12
& e10 != e13
& e11 != e12 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f2661,plain,
( e11 = e13
| ~ spl20_28 ),
inference(forward_demodulation,[],[f75,f571]) ).
fof(f571,plain,
( e11 = op1(e12,e12)
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f569]) ).
fof(f569,plain,
( spl20_28
<=> e11 = op1(e12,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f2660,plain,
( ~ spl20_195
| ~ spl20_11 ),
inference(avatar_split_clause,[],[f2659,f494,f1365]) ).
fof(f1365,plain,
( spl20_195
<=> e13 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_195])]) ).
fof(f2659,plain,
( e13 != op1(e10,e11)
| ~ spl20_11 ),
inference(forward_demodulation,[],[f292,f495]) ).
fof(f292,plain,
op1(e10,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2658,plain,
( ~ spl20_143
| ~ spl20_148 ),
inference(avatar_split_clause,[],[f2657,f1115,f1089]) ).
fof(f1115,plain,
( spl20_148
<=> e11 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_148])]) ).
fof(f2657,plain,
( e11 != op1(e11,e10)
| ~ spl20_148 ),
inference(forward_demodulation,[],[f273,f1117]) ).
fof(f1117,plain,
( e11 = op1(e13,e10)
| ~ spl20_148 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f273,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2653,plain,
( ~ spl20_34
| ~ spl20_256 ),
inference(avatar_split_clause,[],[f2652,f1747,f595]) ).
fof(f595,plain,
( spl20_34
<=> e10 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f2652,plain,
( e10 != op1(e10,e11)
| ~ spl20_256 ),
inference(forward_demodulation,[],[f312,f1749]) ).
fof(f312,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2639,plain,
( spl20_272
| ~ spl20_26
| ~ spl20_131 ),
inference(avatar_split_clause,[],[f2636,f1030,f560,f1908]) ).
fof(f1908,plain,
( spl20_272
<=> e20 = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_272])]) ).
fof(f560,plain,
( spl20_26
<=> e20 = op2(e20,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f1030,plain,
( spl20_131
<=> op2(e20,e20) = h1(e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f2636,plain,
( e20 = h1(e13)
| ~ spl20_26
| ~ spl20_131 ),
inference(backward_demodulation,[],[f1031,f562]) ).
fof(f562,plain,
( e20 = op2(e20,e20)
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f560]) ).
fof(f1031,plain,
( op2(e20,e20) = h1(e13)
| ~ spl20_131 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f2635,plain,
( ~ spl20_15
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f2634,f490,f512]) ).
fof(f512,plain,
( spl20_15
<=> e12 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f2634,plain,
( e12 != op1(e12,e11)
| ~ spl20_10 ),
inference(forward_demodulation,[],[f309,f492]) ).
fof(f309,plain,
op1(e12,e11) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2625,plain,
( ~ spl20_138
| ~ spl20_139 ),
inference(avatar_split_clause,[],[f2419,f1066,f1061]) ).
fof(f1061,plain,
( spl20_138
<=> e11 = op1(e10,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_138])]) ).
fof(f2419,plain,
( e11 != op1(e10,e11)
| ~ spl20_139 ),
inference(forward_demodulation,[],[f286,f1068]) ).
fof(f286,plain,
op1(e10,e11) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2606,plain,
( ~ spl20_41
| ~ spl20_44
| spl20_204 ),
inference(avatar_contradiction_clause,[],[f2605]) ).
fof(f2605,plain,
( $false
| ~ spl20_41
| ~ spl20_44
| spl20_204 ),
inference(subsumption_resolution,[],[f2604,f1437]) ).
fof(f1437,plain,
( e21 != e23
| spl20_204 ),
inference(avatar_component_clause,[],[f1435]) ).
fof(f1435,plain,
( spl20_204
<=> e21 = e23 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_204])]) ).
fof(f2604,plain,
( e21 = e23
| ~ spl20_41
| ~ spl20_44 ),
inference(forward_demodulation,[],[f628,f640]) ).
fof(f628,plain,
( e23 = op2(e20,e23)
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f626,plain,
( spl20_41
<=> e23 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f2603,plain,
( ~ spl20_98
| ~ spl20_99 ),
inference(avatar_contradiction_clause,[],[f2602]) ).
fof(f2602,plain,
( $false
| ~ spl20_98
| ~ spl20_99 ),
inference(subsumption_resolution,[],[f2601,f266]) ).
fof(f266,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2601,plain,
( e10 = e12
| ~ spl20_98
| ~ spl20_99 ),
inference(forward_demodulation,[],[f876,f880]) ).
fof(f876,plain,
( e12 = op1(e13,e13)
| ~ spl20_98 ),
inference(avatar_component_clause,[],[f874]) ).
fof(f874,plain,
( spl20_98
<=> e12 = op1(e13,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f2597,plain,
( ~ spl20_92
| ~ spl20_137 ),
inference(avatar_split_clause,[],[f2596,f1057,f845]) ).
fof(f1057,plain,
( spl20_137
<=> e11 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_137])]) ).
fof(f2596,plain,
( e11 != op1(e13,e12)
| ~ spl20_137 ),
inference(backward_demodulation,[],[f275,f1059]) ).
fof(f1059,plain,
( e11 = op1(e13,e11)
| ~ spl20_137 ),
inference(avatar_component_clause,[],[f1057]) ).
fof(f275,plain,
op1(e13,e11) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2586,plain,
( ~ spl20_11
| ~ spl20_8 ),
inference(avatar_split_clause,[],[f2585,f481,f494]) ).
fof(f481,plain,
( spl20_8
<=> e13 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f2585,plain,
( e13 != op1(e13,e11)
| ~ spl20_8 ),
inference(forward_demodulation,[],[f276,f483]) ).
fof(f483,plain,
( e13 = op1(e13,e10)
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f481]) ).
fof(f276,plain,
op1(e13,e10) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2558,plain,
( ~ spl20_58
| ~ spl20_96
| spl20_151 ),
inference(avatar_contradiction_clause,[],[f2557]) ).
fof(f2557,plain,
( $false
| ~ spl20_58
| ~ spl20_96
| spl20_151 ),
inference(subsumption_resolution,[],[f2556,f1134]) ).
fof(f1134,plain,
( e20 != e21
| spl20_151 ),
inference(avatar_component_clause,[],[f1132]) ).
fof(f1132,plain,
( spl20_151
<=> e20 = e21 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_151])]) ).
fof(f2556,plain,
( e20 = e21
| ~ spl20_58
| ~ spl20_96 ),
inference(backward_demodulation,[],[f864,f702]) ).
fof(f702,plain,
( e20 = op2(e21,e20)
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f700]) ).
fof(f700,plain,
( spl20_58
<=> e20 = op2(e21,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f2537,plain,
( ~ spl20_189
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f2536,f490,f1326]) ).
fof(f1326,plain,
( spl20_189
<=> e12 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_189])]) ).
fof(f2536,plain,
( e12 != op1(e11,e13)
| ~ spl20_10 ),
inference(forward_demodulation,[],[f310,f492]) ).
fof(f310,plain,
op1(e11,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2523,plain,
( ~ spl20_34
| ~ spl20_195 ),
inference(avatar_contradiction_clause,[],[f2522]) ).
fof(f2522,plain,
( $false
| ~ spl20_34
| ~ spl20_195 ),
inference(subsumption_resolution,[],[f2521,f265]) ).
fof(f265,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f2521,plain,
( e10 = e13
| ~ spl20_34
| ~ spl20_195 ),
inference(forward_demodulation,[],[f1367,f596]) ).
fof(f596,plain,
( e10 = op1(e10,e11)
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f1367,plain,
( e13 = op1(e10,e11)
| ~ spl20_195 ),
inference(avatar_component_clause,[],[f1365]) ).
fof(f2520,plain,
( ~ spl20_34
| ~ spl20_206 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2519,plain,
( $false
| ~ spl20_34
| ~ spl20_206 ),
inference(subsumption_resolution,[],[f2518,f596]) ).
fof(f2518,plain,
( e10 != op1(e10,e11)
| ~ spl20_206 ),
inference(forward_demodulation,[],[f282,f1448]) ).
fof(f1448,plain,
( e10 = op1(e12,e11)
| ~ spl20_206 ),
inference(avatar_component_clause,[],[f1446]) ).
fof(f1446,plain,
( spl20_206
<=> e10 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_206])]) ).
fof(f282,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2517,plain,
( ~ spl20_10
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f2418,f516,f490]) ).
fof(f516,plain,
( spl20_16
<=> e12 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f2418,plain,
( e12 != op1(e12,e13)
| ~ spl20_16 ),
inference(forward_demodulation,[],[f278,f518]) ).
fof(f518,plain,
( e12 = op1(e12,e10)
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f278,plain,
op1(e12,e10) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2451,plain,
( ~ spl20_29
| ~ spl20_139 ),
inference(avatar_split_clause,[],[f2450,f1066,f573]) ).
fof(f573,plain,
( spl20_29
<=> e11 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f2450,plain,
( e11 != op1(e12,e13)
| ~ spl20_139 ),
inference(forward_demodulation,[],[f280,f1068]) ).
fof(f280,plain,
op1(e10,e13) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2449,plain,
( ~ spl20_256
| ~ spl20_206 ),
inference(avatar_split_clause,[],[f2448,f1446,f1747]) ).
fof(f2448,plain,
( e10 != op1(e11,e11)
| ~ spl20_206 ),
inference(forward_demodulation,[],[f284,f1448]) ).
fof(f284,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f2444,plain,
( ~ spl20_27
| ~ spl20_148 ),
inference(avatar_split_clause,[],[f2304,f1115,f565]) ).
fof(f565,plain,
( spl20_27
<=> e11 = op1(e12,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f2304,plain,
( e11 != op1(e12,e10)
| ~ spl20_148 ),
inference(forward_demodulation,[],[f311,f1117]) ).
fof(f311,plain,
op1(e12,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2432,plain,
( spl20_44
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2171,f713,f638]) ).
fof(f2171,plain,
( e21 = op2(e20,e23)
| ~ spl20_61 ),
inference(backward_demodulation,[],[f1798,f714]) ).
fof(f1798,plain,
e21 = op2(e20,h3(e13)),
inference(backward_demodulation,[],[f921,f385]) ).
fof(f921,plain,
e21 = op2(e20,op2(e22,e22)),
inference(backward_demodulation,[],[f70,f72]) ).
fof(f72,plain,
e20 = op2(op2(e22,e22),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
( e20 = op2(op2(e22,e22),op2(e22,e22))
& e23 = op2(e22,e22)
& e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f70,plain,
e21 = op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)),
inference(cnf_transformation,[],[f13]) ).
fof(f2404,plain,
( ~ spl20_23
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2403,f878,f547]) ).
fof(f547,plain,
( spl20_23
<=> e10 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f2403,plain,
( e10 != op1(e13,e12)
| ~ spl20_99 ),
inference(forward_demodulation,[],[f302,f880]) ).
fof(f302,plain,
op1(e13,e12) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2391,plain,
( ~ spl20_49
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2390,f878,f660]) ).
fof(f660,plain,
( spl20_49
<=> e10 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f2390,plain,
( e10 != op1(e10,e13)
| ~ spl20_99 ),
inference(forward_demodulation,[],[f270,f880]) ).
fof(f270,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2388,plain,
( ~ spl20_30
| ~ spl20_206 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2387,plain,
( $false
| ~ spl20_30
| ~ spl20_206 ),
inference(subsumption_resolution,[],[f2386,f268]) ).
fof(f268,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f2386,plain,
( e10 = e11
| ~ spl20_30
| ~ spl20_206 ),
inference(backward_demodulation,[],[f579,f1448]) ).
fof(f2385,plain,
( ~ spl20_56
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f2384,f866,f692]) ).
fof(f692,plain,
( spl20_56
<=> e20 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f2384,plain,
( e20 != op2(e21,e22)
| ~ spl20_97 ),
inference(forward_demodulation,[],[f185,f867]) ).
fof(f185,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2379,plain,
( ~ spl20_22
| ~ spl20_35 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2378,plain,
( $false
| ~ spl20_22
| ~ spl20_35 ),
inference(subsumption_resolution,[],[f2377,f600]) ).
fof(f600,plain,
( e10 = op1(e10,e10)
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl20_35
<=> e10 = op1(e10,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f2377,plain,
( e10 != op1(e10,e10)
| ~ spl20_22 ),
inference(forward_demodulation,[],[f308,f545]) ).
fof(f308,plain,
op1(e10,e10) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2367,plain,
( ~ spl20_35
| ~ spl20_112 ),
inference(avatar_contradiction_clause,[],[f2366]) ).
fof(f2366,plain,
( $false
| ~ spl20_35
| ~ spl20_112 ),
inference(subsumption_resolution,[],[f2365,f600]) ).
fof(f2365,plain,
( e10 != op1(e10,e10)
| ~ spl20_112 ),
inference(forward_demodulation,[],[f306,f945]) ).
fof(f306,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2330,plain,
( ~ spl20_139
| ~ spl20_190 ),
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2329,plain,
( $false
| ~ spl20_139
| ~ spl20_190 ),
inference(subsumption_resolution,[],[f2328,f264]) ).
fof(f264,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f2328,plain,
( e11 = e12
| ~ spl20_139
| ~ spl20_190 ),
inference(forward_demodulation,[],[f1332,f1068]) ).
fof(f1332,plain,
( e12 = op1(e10,e13)
| ~ spl20_190 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1330,plain,
( spl20_190
<=> e12 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_190])]) ).
fof(f2319,plain,
( ~ spl20_80
| ~ spl20_164 ),
inference(avatar_contradiction_clause,[],[f2318]) ).
fof(f2318,plain,
( $false
| ~ spl20_80
| ~ spl20_164 ),
inference(subsumption_resolution,[],[f2317,f792]) ).
fof(f792,plain,
( e20 = op2(e22,e20)
| ~ spl20_80 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f2317,plain,
( e20 != op2(e22,e20)
| ~ spl20_164 ),
inference(forward_demodulation,[],[f189,f1204]) ).
fof(f1204,plain,
( e20 = op2(e22,e21)
| ~ spl20_164 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1202,plain,
( spl20_164
<=> e20 = op2(e22,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_164])]) ).
fof(f189,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2316,plain,
( spl20_242
| ~ spl20_161 ),
inference(avatar_split_clause,[],[f2315,f1188,f1664]) ).
fof(f2315,plain,
( e20 = h4(e13)
| ~ spl20_161 ),
inference(backward_demodulation,[],[f83,f1190]) ).
fof(f2287,plain,
( ~ spl20_50
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2286,f713,f665]) ).
fof(f665,plain,
( spl20_50
<=> e23 = op2(e20,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f2286,plain,
( e23 != op2(e20,e22)
| ~ spl20_61 ),
inference(forward_demodulation,[],[f1796,f714]) ).
fof(f1796,plain,
op2(e20,e22) != h3(e13),
inference(backward_demodulation,[],[f215,f385]) ).
fof(f215,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f2285,plain,
( ~ spl20_22
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f2284,f595,f543]) ).
fof(f2284,plain,
( e10 != op1(e10,e12)
| ~ spl20_34 ),
inference(forward_demodulation,[],[f277,f596]) ).
fof(f277,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2258,plain,
( ~ spl20_196
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2257,f878,f1370]) ).
fof(f1370,plain,
( spl20_196
<=> e10 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_196])]) ).
fof(f2257,plain,
( e10 != op1(e11,e13)
| ~ spl20_99 ),
inference(forward_demodulation,[],[f279,f880]) ).
fof(f279,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2229,plain,
( ~ spl20_2
| ~ spl20_139 ),
inference(avatar_contradiction_clause,[],[f2228]) ).
fof(f2228,plain,
( $false
| ~ spl20_2
| ~ spl20_139 ),
inference(subsumption_resolution,[],[f2227,f269]) ).
fof(f2227,plain,
( e11 = e13
| ~ spl20_2
| ~ spl20_139 ),
inference(backward_demodulation,[],[f457,f1068]) ).
fof(f457,plain,
( e13 = op1(e10,e13)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f455,plain,
( spl20_2
<=> e13 = op1(e10,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f2216,plain,
( ~ spl20_17
| ~ spl20_164 ),
inference(avatar_split_clause,[],[f2215,f1202,f522]) ).
fof(f2215,plain,
( e20 != op2(e20,e21)
| ~ spl20_164 ),
inference(forward_demodulation,[],[f217,f1204]) ).
fof(f217,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f2207,plain,
( ~ spl20_272
| ~ spl20_80
| ~ spl20_131 ),
inference(avatar_split_clause,[],[f2206,f1030,f790,f1908]) ).
fof(f2206,plain,
( e20 != h1(e13)
| ~ spl20_80
| ~ spl20_131 ),
inference(forward_demodulation,[],[f2030,f792]) ).
fof(f2030,plain,
( op2(e22,e20) != h1(e13)
| ~ spl20_131 ),
inference(backward_demodulation,[],[f198,f1031]) ).
fof(f198,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f2196,plain,
( ~ spl20_247
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2195,f878,f1694]) ).
fof(f1694,plain,
( spl20_247
<=> e10 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_247])]) ).
fof(f2195,plain,
( e10 != op1(e13,e11)
| ~ spl20_99 ),
inference(forward_demodulation,[],[f271,f880]) ).
fof(f271,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2175,plain,
( spl20_161
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f2170,f713,f1188]) ).
fof(f2170,plain,
( e20 = op2(e23,e23)
| ~ spl20_61 ),
inference(backward_demodulation,[],[f1791,f714]) ).
fof(f1791,plain,
e20 = op2(h3(e13),h3(e13)),
inference(backward_demodulation,[],[f72,f385]) ).
fof(f2174,plain,
( ~ spl20_42
| ~ spl20_61
| spl20_151 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2173,plain,
( $false
| ~ spl20_42
| ~ spl20_61
| spl20_151 ),
inference(subsumption_resolution,[],[f2172,f1134]) ).
fof(f2172,plain,
( e20 = e21
| ~ spl20_42
| ~ spl20_61 ),
inference(forward_demodulation,[],[f2171,f632]) ).
fof(f632,plain,
( e20 = op2(e20,e23)
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f630,plain,
( spl20_42
<=> e20 = op2(e20,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f2144,plain,
( ~ spl20_113
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2139,f878,f947]) ).
fof(f947,plain,
( spl20_113
<=> e10 = op1(e13,e10) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f2139,plain,
( e10 != op1(e13,e10)
| ~ spl20_99 ),
inference(backward_demodulation,[],[f281,f880]) ).
fof(f281,plain,
op1(e13,e10) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2143,plain,
( spl20_139
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2141,f878,f1066]) ).
fof(f2141,plain,
( e11 = op1(e10,e13)
| ~ spl20_99 ),
inference(backward_demodulation,[],[f1824,f880]) ).
fof(f1824,plain,
e11 = op1(op1(e13,e13),e13),
inference(forward_demodulation,[],[f73,f75]) ).
fof(f73,plain,
e11 = op1(op1(op1(e12,e12),op1(e12,e12)),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f2142,plain,
( ~ spl20_163
| ~ spl20_99 ),
inference(avatar_split_clause,[],[f2140,f878,f1197]) ).
fof(f1197,plain,
( spl20_163
<=> e10 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_163])]) ).
fof(f2140,plain,
( e10 != op1(e12,e13)
| ~ spl20_99 ),
inference(backward_demodulation,[],[f291,f880]) ).
fof(f291,plain,
op1(e12,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f2118,plain,
( spl20_61
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f2117,f669,f713]) ).
fof(f2117,plain,
( e23 = h3(e13)
| ~ spl20_51 ),
inference(backward_demodulation,[],[f385,f671]) ).
fof(f2086,plain,
( ~ spl20_34
| ~ spl20_37 ),
inference(avatar_contradiction_clause,[],[f2085]) ).
fof(f2085,plain,
( $false
| ~ spl20_34
| ~ spl20_37 ),
inference(subsumption_resolution,[],[f2084,f266]) ).
fof(f2084,plain,
( e10 = e12
| ~ spl20_34
| ~ spl20_37 ),
inference(backward_demodulation,[],[f610,f596]) ).
fof(f2079,plain,
( ~ spl20_149
| ~ spl20_155 ),
inference(avatar_split_clause,[],[f2074,f1153,f1119]) ).
fof(f2074,plain,
( e12 != op1(e13,e10)
| ~ spl20_155 ),
inference(backward_demodulation,[],[f297,f1155]) ).
fof(f297,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f2057,plain,
( ~ spl20_242
| ~ spl20_79 ),
inference(avatar_split_clause,[],[f2053,f786,f1664]) ).
fof(f786,plain,
( spl20_79
<=> e20 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f2053,plain,
( e20 != h4(e13)
| ~ spl20_79 ),
inference(backward_demodulation,[],[f1752,f788]) ).
fof(f788,plain,
( e20 = op2(e23,e20)
| ~ spl20_79 ),
inference(avatar_component_clause,[],[f786]) ).
fof(f1752,plain,
op2(e23,e20) != h4(e13),
inference(forward_demodulation,[],[f195,f83]) ).
fof(f195,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2026,plain,
( ~ spl20_143
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f2019,f565,f1089]) ).
fof(f2019,plain,
( e11 != op1(e11,e10)
| ~ spl20_27 ),
inference(backward_demodulation,[],[f313,f567]) ).
fof(f567,plain,
( e11 = op1(e12,e10)
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f565]) ).
fof(f313,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f2009,plain,
( ~ spl20_146
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f2002,f638,f1106]) ).
fof(f1106,plain,
( spl20_146
<=> e21 = op2(e20,e21) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_146])]) ).
fof(f2002,plain,
( e21 != op2(e20,e21)
| ~ spl20_44 ),
inference(backward_demodulation,[],[f199,f640]) ).
fof(f199,plain,
op2(e20,e21) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f2008,plain,
( ~ spl20_109
| ~ spl20_44 ),
inference(avatar_split_clause,[],[f2005,f638,f927]) ).
fof(f927,plain,
( spl20_109
<=> e21 = op2(e21,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).
fof(f2005,plain,
( e21 != op2(e21,e23)
| ~ spl20_44 ),
inference(backward_demodulation,[],[f214,f640]) ).
fof(f214,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f1989,plain,
( ~ spl20_266
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f1980,f608,f1855]) ).
fof(f1980,plain,
( op1(e10,e10) != e12
| ~ spl20_37 ),
inference(backward_demodulation,[],[f307,f610]) ).
fof(f307,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f1987,plain,
( ~ spl20_36
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f1984,f608,f604]) ).
fof(f604,plain,
( spl20_36
<=> e12 = op1(e13,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f1984,plain,
( e12 != op1(e13,e11)
| ~ spl20_37 ),
inference(backward_demodulation,[],[f292,f610]) ).
fof(f1986,plain,
( ~ spl20_241
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f1983,f608,f1642]) ).
fof(f1983,plain,
( e12 != op1(e10,e12)
| ~ spl20_37 ),
inference(backward_demodulation,[],[f277,f610]) ).
fof(f1965,plain,
( ~ spl20_89
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1961,f862,f831]) ).
fof(f831,plain,
( spl20_89
<=> e21 = op2(e21,e22) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f1961,plain,
( e21 != op2(e21,e22)
| ~ spl20_96 ),
inference(backward_demodulation,[],[f210,f864]) ).
fof(f210,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f1964,plain,
( ~ spl20_227
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f1963,f862,f1542]) ).
fof(f1542,plain,
( spl20_227
<=> e21 = op2(e23,e20) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_227])]) ).
fof(f1963,plain,
( e21 != op2(e23,e20)
| ~ spl20_96 ),
inference(backward_demodulation,[],[f207,f864]) ).
fof(f207,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f1956,plain,
( ~ spl20_139
| ~ spl20_13 ),
inference(avatar_split_clause,[],[f1947,f503,f1066]) ).
fof(f503,plain,
( spl20_13
<=> e11 = op1(e11,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f1947,plain,
( e11 != op1(e10,e13)
| ~ spl20_13 ),
inference(backward_demodulation,[],[f296,f505]) ).
fof(f505,plain,
( e11 = op1(e11,e13)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f296,plain,
op1(e10,e13) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f1924,plain,
( spl20_266
| spl20_190
| spl20_241
| spl20_37 ),
inference(avatar_split_clause,[],[f444,f608,f1642,f1330,f1855]) ).
fof(f444,plain,
( e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e10 = op1(e13,e12)
| e10 = op1(e13,e10)
| e10 = op1(e13,e13)
| e10 = op1(e13,e11) )
& ( e10 = op1(e13,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e10,e10) )
& ( e13 = op1(e13,e11)
| e13 = op1(e10,e11)
| e13 = op1(e11,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e13,e13)
| e12 = op1(e13,e10)
| e12 = op1(e13,e12)
| e12 = op1(e13,e11) )
& ( e11 = op1(e12,e12)
| e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e13,e12) )
& ( e12 = op1(e10,e13)
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| op1(e10,e10) = e12 )
& ( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e13,e10)
| e12 = op1(e12,e10) )
& ( e10 = op1(e13,e13)
| e10 = op1(e12,e13)
| e10 = op1(e11,e13)
| e10 = op1(e10,e13) )
& ( e10 = op1(e12,e12)
| e10 = op1(e11,e12)
| e10 = op1(e10,e12)
| e10 = op1(e13,e12) )
& ( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e13)
| e12 = op1(e11,e12) )
& ( e13 = op1(e13,e12)
| e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12) )
& ( e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e10,e12) )
& ( e13 = op1(e13,e11)
| e13 = op1(e13,e13)
| e13 = op1(e13,e10)
| e13 = op1(e13,e12) )
& ( e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13)
| e13 = op1(e10,e13) )
& ( e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11)
| e12 = op1(e10,e11) )
& ( e11 = op1(e12,e12)
| e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e13) )
& ( e10 = op1(e12,e12)
| e10 = op1(e12,e13)
| e10 = op1(e12,e11)
| e10 = op1(e12,e10) )
& ( e13 = op1(e11,e11)
| e13 = op1(e11,e13)
| e13 = op1(e11,e12)
| e13 = op1(e11,e10) )
& ( e11 = op1(e10,e13)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11
| e11 = op1(e10,e12) )
& ( e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11) )
& ( e11 = op1(e12,e11)
| e11 = op1(e13,e11)
| e11 = op1(e10,e11)
| e11 = op1(e11,e11) )
& ( e13 = op1(e12,e10)
| e13 = op1(e13,e10)
| e13 = op1(e11,e10)
| op1(e10,e10) = e13 )
& ( e11 = op1(e10,e13)
| e11 = op1(e13,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13) )
& ( e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10)
| e12 = op1(e12,e13) )
& ( e13 = op1(e12,e13)
| e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12) )
& ( e12 = op1(e11,e13)
| e12 = op1(e13,e13)
| e12 = op1(e12,e13)
| e12 = op1(e10,e13) )
& ( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| op1(e10,e10) = e11
| e11 = op1(e11,e10) )
& ( e11 = op1(e13,e10)
| e11 = op1(e13,e12)
| e11 = op1(e13,e11)
| e11 = op1(e13,e13) )
& ( e10 = op1(e11,e11)
| e10 = op1(e11,e10)
| e10 = op1(e11,e13)
| e10 = op1(e11,e12) )
& ( e11 = op1(e11,e12)
| e11 = op1(e11,e13)
| e11 = op1(e11,e10)
| e11 = op1(e11,e11) )
& ( e13 = op1(e10,e11)
| op1(e10,e10) = e13
| e13 = op1(e10,e12)
| e13 = op1(e10,e13) )
& ( e10 = op1(e10,e11)
| e10 = op1(e10,e10)
| e10 = op1(e10,e13)
| e10 = op1(e10,e12) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f1922,plain,
( spl20_46
| spl20_230
| spl20_57
| spl20_109 ),
inference(avatar_split_clause,[],[f391,f927,f696,f1569,f647]) ).
fof(f391,plain,
( e21 = op2(e21,e23)
| e20 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( ( e22 = op2(e20,e23)
| e23 = op2(e20,e23)
| e20 = op2(e20,e23)
| e21 = op2(e20,e23) )
& ( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22)
| e21 = op2(e21,e22) )
& ( e20 = op2(e23,e22)
| e22 = op2(e23,e22)
| e23 = op2(e23,e22)
| e21 = op2(e23,e22) )
& ( e21 = op2(e22,e23)
| e22 = op2(e22,e23)
| e23 = op2(e22,e23)
| e20 = op2(e22,e23) )
& ( e20 = op2(e23,e20)
| e21 = op2(e23,e20)
| e22 = op2(e23,e20)
| e23 = op2(e23,e20) )
& ( e23 = op2(e21,e21)
| e22 = op2(e21,e21)
| e21 = op2(e21,e21)
| e20 = op2(e21,e21) )
& ( e21 = op2(e22,e22)
| e22 = op2(e22,e22)
| e20 = op2(e22,e22)
| e23 = op2(e22,e22) )
& ( e20 = op2(e20,e20)
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| op2(e20,e20) = e23 )
& ( e22 = op2(e20,e21)
| e20 = op2(e20,e21)
| e23 = op2(e20,e21)
| e21 = op2(e20,e21) )
& ( e22 = op2(e22,e21)
| e20 = op2(e22,e21)
| e23 = op2(e22,e21)
| e21 = op2(e22,e21) )
& ( e21 = op2(e21,e23)
| e22 = op2(e21,e23)
| e23 = op2(e21,e23)
| e20 = op2(e21,e23) )
& ( e22 = op2(e21,e20)
| e21 = op2(e21,e20)
| e20 = op2(e21,e20)
| e23 = op2(e21,e20) )
& ( e23 = op2(e23,e21)
| e20 = op2(e23,e21)
| e22 = op2(e23,e21)
| e21 = op2(e23,e21) )
& ( e23 = op2(e20,e22)
| e20 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22) )
& ( e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e20 = op2(e22,e20)
| e23 = op2(e22,e20) )
& ( e20 = op2(e23,e23)
| e22 = op2(e23,e23)
| e23 = op2(e23,e23)
| e21 = op2(e23,e23) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f1921,plain,
( spl20_11
| spl20_53
| ~ spl20_52
| spl20_34 ),
inference(avatar_split_clause,[],[f249,f595,f674,f678,f494]) ).
fof(f678,plain,
( spl20_53
<=> sP6 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f674,plain,
( spl20_52
<=> e11 = op1(e11,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f249,plain,
( e10 = op1(e10,e11)
| e11 != op1(e11,e11)
| sP6
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( ( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ( e13 = op1(e13,e12)
& e12 != op1(e12,e13) )
| ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) )
| sP7 )
& ( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e13 = op1(e13,e11)
& e11 != op1(e11,e13) )
| sP6 )
& ( ( e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e12 = op1(e12,e10)
& e10 != op1(e10,e12) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| sP5 )
& ( ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ( e11 = op1(e11,e13)
& e13 != op1(e13,e11) )
| sP4 ) ),
inference(definition_folding,[],[f10,f29,f28,f27,f26]) ).
fof(f26,plain,
( ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) )
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f27,plain,
( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f28,plain,
( ( e12 = op1(e12,e11)
& e11 != op1(e11,e12) )
| ~ sP6 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f29,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP7 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f10,axiom,
( ( ( e12 = op1(e12,e12)
& e12 != op1(e12,e12) )
| ( e13 = op1(e13,e12)
& e12 != op1(e12,e13) )
| ( e12 != op1(e12,e10)
& e10 = op1(e10,e12) )
| ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) ) )
& ( ( e11 != op1(e11,e10)
& e10 = op1(e10,e11) )
| ( e11 = op1(e11,e11)
& e11 != op1(e11,e11) )
| ( e13 = op1(e13,e11)
& e11 != op1(e11,e13) )
| ( e12 = op1(e12,e11)
& e11 != op1(e11,e12) ) )
& ( ( e10 = op1(e10,e10)
& e10 != op1(e10,e10) )
| ( e12 = op1(e12,e10)
& e10 != op1(e10,e12) )
| ( e10 != op1(e10,e11)
& e11 = op1(e11,e10) )
| ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) ) )
& ( ( e13 != op1(e13,e12)
& e12 = op1(e12,e13) )
| ( e13 = op1(e13,e13)
& e13 != op1(e13,e13) )
| ( e11 = op1(e11,e13)
& e13 != op1(e13,e11) )
| ( e13 != op1(e13,e10)
& e10 = op1(e10,e13) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f1917,plain,
( spl20_80
| spl20_254
| spl20_188
| spl20_160 ),
inference(avatar_split_clause,[],[f387,f1180,f1321,f1737,f790]) ).
fof(f387,plain,
( e22 = op2(e22,e20)
| e23 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1889,plain,
( spl20_206
| spl20_34
| spl20_247
| spl20_256 ),
inference(avatar_split_clause,[],[f430,f1747,f1694,f595,f1446]) ).
fof(f430,plain,
( e10 = op1(e11,e11)
| e10 = op1(e13,e11)
| e10 = op1(e10,e11)
| e10 = op1(e12,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1888,plain,
spl20_234,
inference(avatar_split_clause,[],[f1887,f1599]) ).
fof(f1887,plain,
e21 = h3(e11),
inference(forward_demodulation,[],[f1886,f1798]) ).
fof(f1886,plain,
h3(e11) = op2(e20,h3(e13)),
inference(forward_demodulation,[],[f1885,f1791]) ).
fof(f1885,plain,
h3(e11) = op2(op2(h3(e13),h3(e13)),h3(e13)),
inference(forward_demodulation,[],[f382,f385]) ).
fof(f382,plain,
op2(op2(op2(e22,e22),op2(e22,e22)),op2(e22,e22)) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f1866,plain,
( spl20_187
| spl20_195
| spl20_2 ),
inference(avatar_split_clause,[],[f1865,f455,f1365,f1314]) ).
fof(f1865,plain,
( e13 = op1(e10,e13)
| e13 = op1(e10,e11)
| op1(e10,e10) = e13 ),
inference(subsumption_resolution,[],[f419,f1413]) ).
fof(f1413,plain,
e13 != op1(e10,e12),
inference(forward_demodulation,[],[f305,f75]) ).
fof(f305,plain,
op1(e10,e12) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f419,plain,
( e13 = op1(e10,e12)
| e13 = op1(e10,e13)
| op1(e10,e10) = e13
| e13 = op1(e10,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1859,plain,
( spl20_34
| spl20_53
| spl20_52
| spl20_11 ),
inference(avatar_split_clause,[],[f251,f494,f674,f678,f595]) ).
fof(f251,plain,
( e13 = op1(e13,e11)
| e11 = op1(e11,e11)
| sP6
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f30]) ).
fof(f1852,plain,
( spl20_249
| spl20_241
| spl20_144
| spl20_155 ),
inference(avatar_split_clause,[],[f1851,f1153,f1095,f1642,f1713]) ).
fof(f1851,plain,
( e12 = op1(e13,e12)
| e12 = e13
| e12 = op1(e10,e12)
| e12 = op1(e11,e12) ),
inference(forward_demodulation,[],[f438,f75]) ).
fof(f438,plain,
( e12 = op1(e11,e12)
| e12 = op1(e13,e12)
| e12 = op1(e10,e12)
| e12 = op1(e12,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1850,plain,
~ spl20_257,
inference(avatar_split_clause,[],[f64,f1767]) ).
fof(f64,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
( e20 != e21
& e21 != e23
& e20 != e22
& e22 != e23
& e21 != e22
& e20 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f1841,plain,
( spl20_163
| spl20_112
| spl20_206 ),
inference(avatar_split_clause,[],[f1840,f1446,f943,f1197]) ).
fof(f1840,plain,
( e10 = op1(e12,e11)
| e10 = op1(e12,e10)
| e10 = op1(e12,e13) ),
inference(subsumption_resolution,[],[f1839,f265]) ).
fof(f1839,plain,
( e10 = e13
| e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e13) ),
inference(forward_demodulation,[],[f433,f75]) ).
fof(f433,plain,
( e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1823,plain,
( spl20_22
| spl20_142
| spl20_12
| spl20_144 ),
inference(avatar_split_clause,[],[f1822,f1095,f499,f1084,f543]) ).
fof(f1084,plain,
( spl20_142
<=> sP7 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_142])]) ).
fof(f499,plain,
( spl20_12
<=> e13 = op1(e13,e12) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f1822,plain,
( e12 = e13
| e13 = op1(e13,e12)
| sP7
| e10 = op1(e10,e12) ),
inference(forward_demodulation,[],[f262,f75]) ).
fof(f262,plain,
( sP7
| e12 = op1(e12,e12)
| e13 = op1(e13,e12)
| e10 = op1(e10,e12) ),
inference(cnf_transformation,[],[f30]) ).
fof(f1821,plain,
~ spl20_144,
inference(avatar_split_clause,[],[f267,f1095]) ).
fof(f267,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f1803,plain,
( spl20_97
| spl20_17
| spl20_42
| spl20_26 ),
inference(avatar_split_clause,[],[f157,f560,f630,f522,f866]) ).
fof(f157,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e23)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( ( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 )
& ( e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21)
| e21 = op2(e21,e21) )
& ( e22 = op2(e22,e21)
| e22 = op2(e20,e21)
| e22 = op2(e23,e21)
| e22 = op2(e21,e21) )
& ( e23 = op2(e21,e21)
| e23 = op2(e23,e21)
| e23 = op2(e20,e21)
| e23 = op2(e22,e21) )
& ( e23 = op2(e20,e23)
| e23 = op2(e23,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) )
& ( e21 = op2(e22,e21)
| e21 = op2(e22,e23)
| e21 = op2(e22,e20)
| e21 = op2(e22,e22) )
& ( e22 = op2(e23,e22)
| e22 = op2(e23,e23)
| e22 = op2(e23,e20)
| e22 = op2(e23,e21) )
& ( e20 = op2(e20,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) )
& ( e22 = op2(e21,e23)
| e22 = op2(e23,e23)
| e22 = op2(e20,e23)
| e22 = op2(e22,e23) )
& ( e22 = op2(e21,e23)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e21) )
& ( e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e21)
| e23 = op2(e21,e23) )
& ( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) )
& ( e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23)
| e20 = op2(e22,e20) )
& ( e21 = op2(e23,e23)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23) )
& ( e22 = op2(e22,e22)
| e22 = op2(e20,e22)
| e22 = op2(e23,e22)
| e22 = op2(e21,e22) )
& ( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e20,e22) )
& ( e22 = op2(e21,e20)
| e22 = op2(e23,e20)
| e22 = op2(e22,e20)
| op2(e20,e20) = e22 )
& ( e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20)
| e20 = op2(e20,e23) )
& ( e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| op2(e20,e20) = e22
| e22 = op2(e20,e23) )
& ( e23 = op2(e23,e22)
| e23 = op2(e23,e23)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) )
& ( e22 = op2(e22,e20)
| e22 = op2(e22,e23)
| e22 = op2(e22,e22)
| e22 = op2(e22,e21) )
& ( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e20)
| e21 = op2(e21,e21) )
& ( e20 = op2(e23,e22)
| e20 = op2(e23,e21)
| e20 = op2(e23,e20)
| e20 = op2(e23,e23) )
& ( e20 = op2(e21,e22)
| e20 = op2(e21,e23)
| e20 = op2(e21,e20)
| e20 = op2(e21,e21) )
& ( e21 = op2(e21,e20)
| e21 = op2(e22,e20)
| e21 = op2(e23,e20)
| op2(e20,e20) = e21 )
& ( e23 = op2(e20,e23)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23
| e23 = op2(e20,e22) )
& ( e23 = op2(e22,e22)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) )
& ( e21 = op2(e23,e20)
| e21 = op2(e23,e23)
| e21 = op2(e23,e22)
| e21 = op2(e23,e21) )
& ( e20 = op2(e21,e21)
| e20 = op2(e20,e21)
| e20 = op2(e23,e21)
| e20 = op2(e22,e21) )
& ( e21 = op2(e20,e22)
| e21 = op2(e23,e22)
| e21 = op2(e22,e22)
| e21 = op2(e21,e22) )
& ( e20 = op2(e23,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20)
| e20 = op2(e22,e20) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1705,plain,
~ spl20_245,
inference(avatar_split_clause,[],[f67,f1684]) ).
fof(f67,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f1692,plain,
( spl20_164
| spl20_246
| spl20_19
| spl20_239 ),
inference(avatar_split_clause,[],[f392,f1629,f530,f1689,f1202]) ).
fof(f392,plain,
( e23 = op2(e22,e21)
| e22 = op2(e22,e21)
| e21 = op2(e22,e21)
| e20 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1662,plain,
( spl20_160
| spl20_25
| spl20_95
| ~ spl20_17 ),
inference(avatar_split_clause,[],[f138,f522,f858,f556,f1180]) ).
fof(f556,plain,
( spl20_25
<=> sP3 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f138,plain,
( e20 != op2(e20,e21)
| e23 = op2(e23,e20)
| sP3
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ( e21 = op2(e21,e20)
& e20 != op2(e20,e21) )
| ( e23 = op2(e23,e20)
& e20 != op2(e20,e23) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| sP3 )
& ( ( e21 = op2(e21,e23)
& e23 != op2(e23,e21) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| sP2 )
& ( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e22 = op2(e22,e21)
& e21 != op2(e21,e22) )
| sP1 )
& ( ( e23 = op2(e23,e22)
& e22 != op2(e22,e23) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| sP0 ) ),
inference(definition_folding,[],[f11,f24,f23,f22,f21]) ).
fof(f21,plain,
( ( e20 = op2(e20,e22)
& e22 != op2(e22,e20) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f22,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f23,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f24,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP3 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f11,axiom,
( ( ( e21 = op2(e21,e20)
& e20 != op2(e20,e21) )
| ( e23 = op2(e23,e20)
& e20 != op2(e20,e23) )
| ( e20 != op2(e20,e22)
& e22 = op2(e22,e20) )
| ( e20 = op2(e20,e20)
& e20 != op2(e20,e20) ) )
& ( ( e21 = op2(e21,e23)
& e23 != op2(e23,e21) )
| ( e23 != op2(e23,e22)
& e22 = op2(e22,e23) )
| ( e23 != op2(e23,e23)
& e23 = op2(e23,e23) )
| ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) ) )
& ( ( e21 = op2(e21,e21)
& e21 != op2(e21,e21) )
| ( e21 != op2(e21,e20)
& e20 = op2(e20,e21) )
| ( e22 = op2(e22,e21)
& e21 != op2(e21,e22) )
| ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) ) )
& ( ( e23 = op2(e23,e22)
& e22 != op2(e22,e23) )
| ( e22 = op2(e22,e22)
& e22 != op2(e22,e22) )
| ( e22 != op2(e22,e21)
& e21 = op2(e21,e22) )
| ( e20 = op2(e20,e22)
& e22 != op2(e22,e20) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f1658,plain,
( spl20_42
| ~ spl20_108 ),
inference(avatar_split_clause,[],[f106,f923,f630]) ).
fof(f923,plain,
( spl20_108
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f106,plain,
( ~ sP2
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( ( e23 != op2(e23,e20)
& e20 = op2(e20,e23) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f1657,plain,
~ spl20_204,
inference(avatar_split_clause,[],[f68,f1435]) ).
fof(f68,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f1653,plain,
( spl20_228
| spl20_164
| spl20_80
| spl20_191 ),
inference(avatar_split_clause,[],[f163,f1336,f790,f1202,f1560]) ).
fof(f163,plain,
( e20 = op2(e22,e23)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1652,plain,
( spl20_12
| spl20_23
| spl20_92
| spl20_155 ),
inference(avatar_split_clause,[],[f414,f1153,f845,f547,f499]) ).
fof(f414,plain,
( e12 = op1(e13,e12)
| e11 = op1(e13,e12)
| e10 = op1(e13,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e12 = op1(e12,e13)
| e11 = op1(e12,e13)
| e10 = op1(e12,e13)
| e13 = op1(e12,e13) )
& ( e10 = op1(e12,e12)
| e12 = op1(e12,e12)
| e13 = op1(e12,e12)
| e11 = op1(e12,e12) )
& ( op1(e10,e10) = e12
| e10 = op1(e10,e10)
| op1(e10,e10) = e13
| op1(e10,e10) = e11 )
& ( e12 = op1(e13,e12)
| e13 = op1(e13,e12)
| e10 = op1(e13,e12)
| e11 = op1(e13,e12) )
& ( e11 = op1(e11,e10)
| e12 = op1(e11,e10)
| e10 = op1(e11,e10)
| e13 = op1(e11,e10) )
& ( e11 = op1(e10,e13)
| e10 = op1(e10,e13)
| e12 = op1(e10,e13)
| e13 = op1(e10,e13) )
& ( e10 = op1(e12,e10)
| e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10) )
& ( e11 = op1(e13,e11)
| e13 = op1(e13,e11)
| e10 = op1(e13,e11)
| e12 = op1(e13,e11) )
& ( e12 = op1(e10,e12)
| e11 = op1(e10,e12)
| e13 = op1(e10,e12)
| e10 = op1(e10,e12) )
& ( e12 = op1(e10,e11)
| e13 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) )
& ( e10 = op1(e11,e13)
| e11 = op1(e11,e13)
| e13 = op1(e11,e13)
| e12 = op1(e11,e13) )
& ( e13 = op1(e13,e13)
| e10 = op1(e13,e13)
| e12 = op1(e13,e13)
| e11 = op1(e13,e13) )
& ( e11 = op1(e11,e12)
| e13 = op1(e11,e12)
| e10 = op1(e11,e12)
| e12 = op1(e11,e12) )
& ( e12 = op1(e12,e11)
| e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11) )
& ( e12 = op1(e11,e11)
| e13 = op1(e11,e11)
| e10 = op1(e11,e11)
| e11 = op1(e11,e11) )
& ( e11 = op1(e13,e10)
| e12 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f1649,plain,
spl20_99,
inference(avatar_split_clause,[],[f1648,f878]) ).
fof(f1648,plain,
e10 = op1(e13,e13),
inference(forward_demodulation,[],[f74,f75]) ).
fof(f74,plain,
e10 = op1(op1(e12,e12),op1(e12,e12)),
inference(cnf_transformation,[],[f12]) ).
fof(f1634,plain,
~ spl20_12,
inference(avatar_split_clause,[],[f1633,f499]) ).
fof(f1633,plain,
e13 != op1(e13,e12),
inference(forward_demodulation,[],[f314,f75]) ).
fof(f314,plain,
op1(e12,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1632,plain,
( spl20_47
| spl20_147
| spl20_239
| spl20_150 ),
inference(avatar_split_clause,[],[f172,f1124,f1629,f1110,f651]) ).
fof(f172,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e20,e21)
| e23 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1617,plain,
spl20_81,
inference(avatar_split_clause,[],[f383,f795]) ).
fof(f383,plain,
e22 = h3(e12),
inference(cnf_transformation,[],[f16]) ).
fof(f1614,plain,
spl20_106,
inference(avatar_split_clause,[],[f1613,f912]) ).
fof(f1613,plain,
e20 = h3(e10),
inference(forward_demodulation,[],[f384,f72]) ).
fof(f384,plain,
op2(op2(e22,e22),op2(e22,e22)) = h3(e10),
inference(cnf_transformation,[],[f16]) ).
fof(f1602,plain,
( ~ spl20_62
| ~ spl20_234 ),
inference(avatar_split_clause,[],[f332,f1599,f717]) ).
fof(f717,plain,
( spl20_62
<=> sP16 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f332,plain,
( e21 != h3(e11)
| ~ sP16 ),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
( ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e10) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f39,plain,
( ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e10) )
| ~ sP16 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f1554,plain,
( spl20_96
| spl20_95
| spl20_160
| spl20_25 ),
inference(avatar_split_clause,[],[f142,f556,f1180,f858,f862]) ).
fof(f142,plain,
( sP3
| e22 = op2(e22,e20)
| e23 = op2(e23,e20)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1548,plain,
~ spl20_205,
inference(avatar_split_clause,[],[f1547,f1442]) ).
fof(f1442,plain,
( spl20_205
<=> e13 = op1(e12,e11) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_205])]) ).
fof(f1547,plain,
e13 != op1(e12,e11),
inference(forward_demodulation,[],[f283,f75]) ).
fof(f283,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f1545,plain,
( spl20_95
| spl20_226
| spl20_79
| spl20_227 ),
inference(avatar_split_clause,[],[f397,f1542,f786,f1538,f858]) ).
fof(f397,plain,
( e21 = op2(e23,e20)
| e20 = op2(e23,e20)
| e22 = op2(e23,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1449,plain,
( spl20_15
| spl20_205
| spl20_30
| spl20_206 ),
inference(avatar_split_clause,[],[f404,f1446,f577,f1442,f512]) ).
fof(f404,plain,
( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e13 = op1(e12,e11)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1424,plain,
( ~ spl20_53
| spl20_15 ),
inference(avatar_split_clause,[],[f227,f512,f678]) ).
fof(f227,plain,
( e12 = op1(e12,e11)
| ~ sP6 ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( ( e12 = op1(e12,e11)
& e11 != op1(e11,e12) )
| ~ sP6 ),
inference(nnf_transformation,[],[f28]) ).
fof(f1406,plain,
( spl20_17
| spl20_20
| ~ spl20_18
| spl20_19 ),
inference(avatar_split_clause,[],[f121,f530,f526,f534,f522]) ).
fof(f534,plain,
( spl20_20
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f121,plain,
( e22 = op2(e22,e21)
| e21 != op2(e21,e21)
| sP1
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1402,plain,
spl20_51,
inference(avatar_split_clause,[],[f71,f669]) ).
fof(f71,plain,
e23 = op2(e22,e22),
inference(cnf_transformation,[],[f13]) ).
fof(f1373,plain,
( spl20_13
| spl20_196
| spl20_189
| spl20_1 ),
inference(avatar_split_clause,[],[f407,f451,f1326,f1370,f503]) ).
fof(f407,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e10 = op1(e11,e13)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1368,plain,
( spl20_138
| spl20_34
| spl20_37
| spl20_195 ),
inference(avatar_split_clause,[],[f408,f1365,f608,f595,f1061]) ).
fof(f408,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e10 = op1(e10,e11)
| e11 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1363,plain,
~ spl20_151,
inference(avatar_split_clause,[],[f69,f1132]) ).
fof(f69,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f1362,plain,
( spl20_109
| spl20_108
| spl20_110
| spl20_54 ),
inference(avatar_split_clause,[],[f132,f683,f931,f923,f927]) ).
fof(f931,plain,
( spl20_110
<=> e23 = op2(e23,e23) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).
fof(f132,plain,
( e22 = op2(e22,e23)
| e23 = op2(e23,e23)
| sP2
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f25]) ).
fof(f1308,plain,
( spl20_41
| spl20_50
| spl20_147
| spl20_186 ),
inference(avatar_split_clause,[],[f149,f1305,f1110,f665,f626]) ).
fof(f149,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1222,plain,
( ~ spl20_26
| ~ spl20_25 ),
inference(avatar_split_clause,[],[f104,f556,f560]) ).
fof(f104,plain,
( ~ sP3
| e20 != op2(e20,e20) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( ( e20 = op2(e20,e20)
& e20 != op2(e20,e20) )
| ~ sP3 ),
inference(nnf_transformation,[],[f24]) ).
fof(f1200,plain,
( spl20_10
| spl20_29
| spl20_4
| spl20_163 ),
inference(avatar_split_clause,[],[f417,f1197,f463,f573,f490]) ).
fof(f463,plain,
( spl20_4
<=> e13 = op1(e12,e13) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f417,plain,
( e10 = op1(e12,e13)
| e13 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1157,plain,
spl20_131,
inference(avatar_split_clause,[],[f103,f1030]) ).
fof(f103,plain,
op2(e20,e20) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
( op2(e20,e20) = h1(e13)
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(op2(op2(e20,e20),op2(e20,e20)),op2(e20,e20))
& e20 = h1(e12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f1156,plain,
( spl20_149
| spl20_155
| spl20_98
| spl20_36 ),
inference(avatar_split_clause,[],[f446,f604,f874,f1153,f1119]) ).
fof(f446,plain,
( e12 = op1(e13,e11)
| e12 = op1(e13,e13)
| e12 = op1(e13,e12)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f1128,plain,
( spl20_7
| spl20_16
| spl20_143
| spl20_35 ),
inference(avatar_split_clause,[],[f246,f599,f1089,f516,f477]) ).
fof(f477,plain,
( spl20_7
<=> sP5 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f246,plain,
( e10 = op1(e10,e10)
| e11 = op1(e11,e10)
| e12 = op1(e12,e10)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f1127,plain,
( ~ spl20_20
| spl20_150 ),
inference(avatar_split_clause,[],[f108,f1124,f534]) ).
fof(f108,plain,
( e23 = op2(e23,e21)
| ~ sP1 ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( ( e21 != op2(e21,e23)
& e23 = op2(e23,e21) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f1122,plain,
( spl20_113
| spl20_8
| spl20_148
| spl20_149 ),
inference(avatar_split_clause,[],[f402,f1119,f1115,f481,f947]) ).
fof(f402,plain,
( e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e13 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1113,plain,
( spl20_17
| spl20_85
| spl20_146
| spl20_147 ),
inference(avatar_split_clause,[],[f393,f1110,f1106,f813,f522]) ).
fof(f393,plain,
( e23 = op2(e20,e21)
| e21 = op2(e20,e21)
| e22 = op2(e20,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1092,plain,
( spl20_7
| spl20_143
| ~ spl20_22
| spl20_35 ),
inference(avatar_split_clause,[],[f244,f599,f543,f1089,f477]) ).
fof(f244,plain,
( e10 = op1(e10,e10)
| e10 != op1(e10,e12)
| e11 = op1(e11,e10)
| sP5 ),
inference(cnf_transformation,[],[f30]) ).
fof(f1087,plain,
( spl20_93
| ~ spl20_142 ),
inference(avatar_split_clause,[],[f224,f1084,f849]) ).
fof(f224,plain,
( ~ sP7
| e11 = op1(e11,e12) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( ( e12 != op1(e12,e11)
& e11 = op1(e11,e12) )
| ~ sP7 ),
inference(nnf_transformation,[],[f29]) ).
fof(f1082,plain,
( spl20_56
| spl20_141
| spl20_45
| spl20_89 ),
inference(avatar_split_clause,[],[f400,f831,f643,f1079,f692]) ).
fof(f400,plain,
( e21 = op2(e21,e22)
| e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f1064,plain,
( spl20_137
| spl20_138
| spl20_30
| spl20_52 ),
inference(avatar_split_clause,[],[f429,f674,f577,f1061,f1057]) ).
fof(f429,plain,
( e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e10,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f967,plain,
( spl20_115
| spl20_116
| spl20_33
| spl20_117 ),
inference(avatar_split_clause,[],[f399,f964,f590,f960,f956]) ).
fof(f399,plain,
( e22 = op2(e23,e22)
| e23 = op2(e23,e22)
| e20 = op2(e23,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f934,plain,
( spl20_108
| spl20_109
| ~ spl20_110
| spl20_54 ),
inference(avatar_split_clause,[],[f133,f683,f931,f927,f923]) ).
fof(f133,plain,
( e22 = op2(e22,e23)
| e23 != op2(e23,e23)
| e21 = op2(e21,e23)
| sP2 ),
inference(cnf_transformation,[],[f25]) ).
fof(f915,plain,
( ~ spl20_106
| ~ spl20_66 ),
inference(avatar_split_clause,[],[f334,f733,f912]) ).
fof(f733,plain,
( spl20_66
<=> sP15 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f334,plain,
( ~ sP15
| e20 != h3(e10) ),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
( ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f38,plain,
( ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| ~ sP15 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f871,plain,
~ spl20_4,
inference(avatar_split_clause,[],[f870,f463]) ).
fof(f870,plain,
e13 != op1(e12,e13),
inference(backward_demodulation,[],[f274,f75]) ).
fof(f274,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f869,plain,
( spl20_95
| spl20_25
| spl20_96
| ~ spl20_97 ),
inference(avatar_split_clause,[],[f143,f866,f862,f556,f858]) ).
fof(f143,plain,
( e20 != op2(e20,e22)
| e21 = op2(e21,e20)
| sP3
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f25]) ).
fof(f798,plain,
( ~ spl20_81
| ~ spl20_71 ),
inference(avatar_split_clause,[],[f338,f753,f795]) ).
fof(f753,plain,
( spl20_71
<=> sP14 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f338,plain,
( ~ sP14
| e22 != h3(e12) ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
( ( e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e10)
& e22 != h3(e12) )
| ~ sP14 ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
( ( e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e10)
& e22 != h3(e12) )
| ~ sP14 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f784,plain,
( ~ spl20_59
| ~ spl20_60
| ~ spl20_61
| spl20_62
| ~ spl20_63
| ~ spl20_64
| ~ spl20_65
| spl20_66
| ~ spl20_67
| ~ spl20_68
| ~ spl20_69
| ~ spl20_70
| spl20_71
| ~ spl20_72
| ~ spl20_73
| ~ spl20_74
| ~ spl20_75
| ~ spl20_76
| ~ spl20_77
| ~ spl20_78 ),
inference(avatar_split_clause,[],[f374,f781,f777,f773,f769,f765,f761,f757,f753,f749,f745,f741,f737,f733,f729,f725,f721,f717,f713,f709,f705]) ).
fof(f374,plain,
( h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP14
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| sP15
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP16
| e23 != h3(e13)
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| sP19
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| sP18
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| sP17
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) )
& ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e13) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| sP16
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| sP15
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| sP14
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) )
& ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| sP13
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| sP12
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| sP11 )
& ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| sP10
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| sP9
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| sP8
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ) ),
inference(definition_folding,[],[f20,f42,f41,f40,f39,f38,f37,f36,f35,f34,f33,f32,f31]) ).
fof(f31,plain,
( ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e11) )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f32,plain,
( ( e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e13) )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f33,plain,
( ( e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12) )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f34,plain,
( ( e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e11) )
| ~ sP11 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f35,plain,
( ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13) )
| ~ sP12 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f36,plain,
( ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10)
& e20 != h2(e13) )
| ~ sP13 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f40,plain,
( ( e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11) )
| ~ sP17 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f41,plain,
( ( e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f42,plain,
( ( e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e10) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f20,plain,
( ( h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| ( e23 != h4(e13)
& e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12) )
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| ( e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13)
& e20 != h4(e10) )
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| ( e21 != h4(e12)
& e21 != h4(e13)
& e21 != h4(e11)
& e21 != h4(e10) )
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| ( e22 != h4(e10)
& e22 != h4(e13)
& e22 != h4(e12)
& e22 != h4(e11) )
| h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11)) )
& ( h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| ( e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e10)
& e23 != h3(e13) )
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| ( e21 != h3(e12)
& e21 != h3(e11)
& e21 != h3(e13)
& e21 != h3(e10) )
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| ( e20 != h3(e12)
& e20 != h3(e11)
& e20 != h3(e13)
& e20 != h3(e10) )
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e22 != h3(e13)
& e22 != h3(e11)
& e22 != h3(e10)
& e22 != h3(e12) )
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12)) )
& ( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| ( e23 != h2(e13)
& e23 != h2(e12)
& e23 != h2(e11)
& e23 != h2(e10) )
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| ( e20 != h2(e12)
& e20 != h2(e11)
& e20 != h2(e10)
& e20 != h2(e13) )
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| ( e21 != h2(e12)
& e21 != h2(e11)
& e21 != h2(e10)
& e21 != h2(e13) )
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| ( e22 != h2(e12)
& e22 != h2(e10)
& e22 != h2(e13)
& e22 != h2(e11) ) )
& ( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| ( e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13)
& e23 != h1(e10) )
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| ( e20 != h1(e13)
& e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12) )
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| ( e21 != h1(e12)
& e21 != h1(e11)
& e21 != h1(e10)
& e21 != h1(e13) )
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| ( e22 != h1(e13)
& e22 != h1(e12)
& e22 != h1(e10)
& e22 != h1(e11) )
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11)) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,negated_conjecture,
~ ( ( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e23 = h4(e12)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
| ( ( e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e22 = h1(e11)
| e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e13) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) )
| ( ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e10)
| e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) )
| ( ( e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e11) ) ) ),
inference(negated_conjecture,[],[f18]) ).
fof(f18,conjecture,
( ( h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& ( e20 = h4(e11)
| e20 = h4(e10)
| e20 = h4(e12)
| e20 = h4(e13) )
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& ( e23 = h4(e12)
| e23 = h4(e13)
| e23 = h4(e11)
| e23 = h4(e10) )
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& ( e22 = h4(e13)
| e22 = h4(e11)
| e22 = h4(e12)
| e22 = h4(e10) )
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& ( e21 = h4(e13)
| e21 = h4(e11)
| e21 = h4(e10)
| e21 = h4(e12) )
& h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) )
| ( ( e23 = h1(e11)
| e23 = h1(e13)
| e23 = h1(e12)
| e23 = h1(e10) )
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& ( e20 = h1(e10)
| e20 = h1(e13)
| e20 = h1(e12)
| e20 = h1(e11) )
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& ( e22 = h1(e11)
| e22 = h1(e10)
| e22 = h1(e12)
| e22 = h1(e13) )
& ( e21 = h1(e13)
| e21 = h1(e12)
| e21 = h1(e11)
| e21 = h1(e10) )
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) )
| ( ( e20 = h3(e10)
| e20 = h3(e11)
| e20 = h3(e12)
| e20 = h3(e13) )
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& ( e22 = h3(e10)
| e22 = h3(e11)
| e22 = h3(e13)
| e22 = h3(e12) )
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& ( e23 = h3(e13)
| e23 = h3(e11)
| e23 = h3(e12)
| e23 = h3(e10) )
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& ( e21 = h3(e12)
| e21 = h3(e10)
| e21 = h3(e13)
| e21 = h3(e11) )
& h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13)) )
| ( ( e21 = h2(e10)
| e21 = h2(e13)
| e21 = h2(e11)
| e21 = h2(e12) )
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& ( e22 = h2(e10)
| e22 = h2(e13)
| e22 = h2(e11)
| e22 = h2(e12) )
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& ( e20 = h2(e11)
| e20 = h2(e10)
| e20 = h2(e12)
| e20 = h2(e13) )
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& ( e23 = h2(e13)
| e23 = h2(e10)
| e23 = h2(e12)
| e23 = h2(e11) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f703,plain,
( spl20_55
| spl20_56
| spl20_57
| spl20_58 ),
inference(avatar_split_clause,[],[f151,f700,f696,f692,f688]) ).
fof(f151,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f663,plain,
( spl20_49
| spl20_35
| spl20_22
| spl20_34 ),
inference(avatar_split_clause,[],[f418,f595,f543,f599,f660]) ).
fof(f418,plain,
( e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e10)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f580,plain,
( spl20_27
| spl20_28
| spl20_29
| spl20_30 ),
inference(avatar_split_clause,[],[f434,f577,f573,f569,f565]) ).
fof(f434,plain,
( e11 = op1(e12,e11)
| e11 = op1(e12,e13)
| e11 = op1(e12,e12)
| e11 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f563,plain,
( ~ spl20_25
| spl20_26 ),
inference(avatar_split_clause,[],[f105,f560,f556]) ).
fof(f105,plain,
( e20 = op2(e20,e20)
| ~ sP3 ),
inference(cnf_transformation,[],[f44]) ).
fof(f537,plain,
( spl20_17
| spl20_18
| spl20_19
| spl20_20 ),
inference(avatar_split_clause,[],[f125,f534,f530,f526,f522]) ).
fof(f125,plain,
( sP1
| e22 = op2(e22,e21)
| e21 = op2(e21,e21)
| e20 = op2(e20,e21) ),
inference(cnf_transformation,[],[f25]) ).
fof(f484,plain,
( ~ spl20_7
| spl20_8 ),
inference(avatar_split_clause,[],[f228,f481,f477]) ).
fof(f228,plain,
( e13 = op1(e13,e10)
| ~ sP5 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( ( e10 != op1(e10,e13)
& e13 = op1(e13,e10) )
| ~ sP5 ),
inference(nnf_transformation,[],[f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ALG110+1 : TPTP v8.1.0. Released v2.7.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 15:16:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 % (2300)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52 % (2316)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.52 % (2312)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52 % (2311)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 0.20/0.53 % (2300)Instruction limit reached!
% 0.20/0.53 % (2300)------------------------------
% 0.20/0.53 % (2300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2308)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.53 % (2300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2300)Termination reason: Unknown
% 0.20/0.53 % (2300)Termination phase: Saturation
% 0.20/0.53
% 0.20/0.53 % (2300)Memory used [KB]: 1663
% 0.20/0.53 % (2300)Time elapsed: 0.009 s
% 0.20/0.53 % (2300)Instructions burned: 14 (million)
% 0.20/0.53 % (2300)------------------------------
% 0.20/0.53 % (2300)------------------------------
% 0.20/0.53 % (2305)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.53 % (2328)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53 % (2314)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (2301)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53 % (2316)Instruction limit reached!
% 0.20/0.53 % (2316)------------------------------
% 0.20/0.53 % (2316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2316)Termination reason: Unknown
% 0.20/0.53 % (2316)Termination phase: Naming
% 0.20/0.53
% 0.20/0.53 % (2316)Memory used [KB]: 1535
% 0.20/0.53 % (2316)Time elapsed: 0.004 s
% 0.20/0.53 % (2316)Instructions burned: 3 (million)
% 0.20/0.53 % (2316)------------------------------
% 0.20/0.53 % (2316)------------------------------
% 0.20/0.53 % (2301)Instruction limit reached!
% 0.20/0.53 % (2301)------------------------------
% 0.20/0.53 % (2301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2301)Termination reason: Unknown
% 0.20/0.53 % (2301)Termination phase: Naming
% 0.20/0.53
% 0.20/0.53 % (2301)Memory used [KB]: 1535
% 0.20/0.53 % (2301)Time elapsed: 0.003 s
% 0.20/0.53 % (2301)Instructions burned: 4 (million)
% 0.20/0.53 % (2301)------------------------------
% 0.20/0.53 % (2301)------------------------------
% 0.20/0.53 % (2314)Instruction limit reached!
% 0.20/0.53 % (2314)------------------------------
% 0.20/0.53 % (2314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (2314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (2314)Termination reason: Unknown
% 0.20/0.53 % (2314)Termination phase: Property scanning
% 0.20/0.53
% 0.20/0.53 % (2314)Memory used [KB]: 1663
% 0.20/0.53 % (2314)Time elapsed: 0.004 s
% 0.20/0.53 % (2314)Instructions burned: 10 (million)
% 0.20/0.53 % (2314)------------------------------
% 0.20/0.53 % (2314)------------------------------
% 0.20/0.54 % (2322)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.54 % (2325)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (2320)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (2304)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54 % (2315)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (2303)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.54 % (2299)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.54 % (2323)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54 % (2310)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54 % (2324)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.20/0.54 % (2304)Instruction limit reached!
% 0.20/0.54 % (2304)------------------------------
% 0.20/0.54 % (2304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (2304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (2304)Termination reason: Unknown
% 0.20/0.54 % (2304)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (2304)Memory used [KB]: 1791
% 0.20/0.54 % (2304)Time elapsed: 0.008 s
% 0.20/0.54 % (2304)Instructions burned: 16 (million)
% 0.20/0.54 % (2304)------------------------------
% 0.20/0.54 % (2304)------------------------------
% 0.20/0.55 % (2310)Instruction limit reached!
% 0.20/0.55 % (2310)------------------------------
% 0.20/0.55 % (2310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2309)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.55 % (2321)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.55 % (2311)Instruction limit reached!
% 0.20/0.55 % (2311)------------------------------
% 0.20/0.55 % (2311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2311)Termination reason: Unknown
% 0.20/0.55 % (2311)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (2311)Memory used [KB]: 1791
% 0.20/0.55 % (2311)Time elapsed: 0.008 s
% 0.20/0.55 % (2311)Instructions burned: 17 (million)
% 0.20/0.55 % (2311)------------------------------
% 0.20/0.55 % (2311)------------------------------
% 0.20/0.55 % (2306)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.55 % (2309)Instruction limit reached!
% 0.20/0.55 % (2309)------------------------------
% 0.20/0.55 % (2309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2309)Termination reason: Unknown
% 0.20/0.55 % (2309)Termination phase: Equality proxy
% 0.20/0.55
% 0.20/0.55 % (2309)Memory used [KB]: 1663
% 0.20/0.55 % (2309)Time elapsed: 0.005 s
% 0.20/0.55 % (2309)Instructions burned: 13 (million)
% 0.20/0.55 % (2309)------------------------------
% 0.20/0.55 % (2309)------------------------------
% 0.20/0.55 % (2317)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55 % (2310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2310)Termination reason: Unknown
% 0.20/0.55 % (2310)Termination phase: Property scanning
% 0.20/0.55
% 0.20/0.55 % (2310)Memory used [KB]: 1663
% 0.20/0.55 % (2310)Time elapsed: 0.006 s
% 0.20/0.55 % (2310)Instructions burned: 8 (million)
% 0.20/0.55 % (2310)------------------------------
% 0.20/0.55 % (2310)------------------------------
% 0.20/0.55 % (2317)Instruction limit reached!
% 0.20/0.55 % (2317)------------------------------
% 0.20/0.55 % (2317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (2317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (2317)Termination reason: Unknown
% 0.20/0.55 % (2317)Termination phase: Preprocessing 2
% 0.20/0.55
% 0.20/0.55 % (2317)Memory used [KB]: 1535
% 0.20/0.55 % (2317)Time elapsed: 0.003 s
% 0.20/0.55 % (2317)Instructions burned: 4 (million)
% 0.20/0.55 % (2317)------------------------------
% 0.20/0.55 % (2317)------------------------------
% 0.20/0.55 % (2327)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.56 % (2307)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.56 % (2302)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.56 % (2319)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.56 % (2326)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.56 % (2313)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.56 % (2303)Instruction limit reached!
% 0.20/0.56 % (2303)------------------------------
% 0.20/0.56 % (2303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2303)Termination reason: Unknown
% 0.20/0.56 % (2303)Termination phase: Property scanning
% 0.20/0.56
% 0.20/0.56 % (2303)Memory used [KB]: 1918
% 0.20/0.56 % (2303)Time elapsed: 0.006 s
% 0.20/0.56 % (2303)Instructions burned: 15 (million)
% 0.20/0.56 % (2303)------------------------------
% 0.20/0.56 % (2303)------------------------------
% 0.20/0.56 % (2313)Instruction limit reached!
% 0.20/0.56 % (2313)------------------------------
% 0.20/0.56 % (2313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (2313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (2313)Termination reason: Unknown
% 0.20/0.56 % (2313)Termination phase: Preprocessing 2
% 0.20/0.56
% 0.20/0.56 % (2313)Memory used [KB]: 1535
% 0.20/0.56 % (2313)Time elapsed: 0.004 s
% 0.20/0.56 % (2313)Instructions burned: 3 (million)
% 0.20/0.56 % (2313)------------------------------
% 0.20/0.56 % (2313)------------------------------
% 0.20/0.57 % (2308)Instruction limit reached!
% 0.20/0.57 % (2308)------------------------------
% 0.20/0.57 % (2308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2327)Instruction limit reached!
% 0.20/0.57 % (2327)------------------------------
% 0.20/0.57 % (2327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57 % (2327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57 % (2327)Termination reason: Unknown
% 0.20/0.57 % (2327)Termination phase: Property scanning
% 0.20/0.57
% 0.20/0.57 % (2327)Memory used [KB]: 1663
% 0.20/0.57 % (2327)Time elapsed: 0.004 s
% 0.20/0.57 % (2327)Instructions burned: 8 (million)
% 0.20/0.57 % (2327)------------------------------
% 0.20/0.57 % (2327)------------------------------
% 0.20/0.57 % (2318)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.58 % (2308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2308)Termination reason: Unknown
% 0.20/0.58 % (2328)Instruction limit reached!
% 0.20/0.58 % (2328)------------------------------
% 0.20/0.58 % (2328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.58 % (2328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.58 % (2328)Termination reason: Unknown
% 0.20/0.58 % (2328)Termination phase: Property scanning
% 0.20/0.58
% 0.20/0.58 % (2328)Memory used [KB]: 1918
% 0.20/0.58 % (2328)Time elapsed: 0.014 s
% 0.20/0.58 % (2328)Instructions burned: 24 (million)
% 0.20/0.58 % (2328)------------------------------
% 0.20/0.58 % (2328)------------------------------
% 0.20/0.58 % (2308)Termination phase: Saturation
% 0.20/0.58
% 0.20/0.58 % (2308)Memory used [KB]: 6780
% 0.20/0.58 % (2308)Time elapsed: 0.028 s
% 0.20/0.58 % (2308)Instructions burned: 34 (million)
% 0.20/0.58 % (2308)------------------------------
% 0.20/0.58 % (2308)------------------------------
% 0.20/0.58 % (2319)Instruction limit reached!
% 0.20/0.58 % (2319)------------------------------
% 0.20/0.58 % (2319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (2318)Instruction limit reached!
% 0.20/0.59 % (2318)------------------------------
% 0.20/0.59 % (2318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (2312)Instruction limit reached!
% 0.20/0.59 % (2312)------------------------------
% 0.20/0.59 % (2312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (2312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (2326)Instruction limit reached!
% 0.20/0.59 % (2326)------------------------------
% 0.20/0.59 % (2326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.59 % (2326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.59 % (2326)Termination reason: Unknown
% 0.20/0.59 % (2326)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (2326)Memory used [KB]: 6908
% 0.20/0.59 % (2326)Time elapsed: 0.182 s
% 0.20/0.59 % (2326)Instructions burned: 26 (million)
% 0.20/0.59 % (2326)------------------------------
% 0.20/0.59 % (2326)------------------------------
% 0.20/0.59 % (2312)Termination reason: Unknown
% 0.20/0.59 % (2312)Termination phase: Saturation
% 0.20/0.59
% 0.20/0.59 % (2312)Memory used [KB]: 6908
% 0.20/0.59 % (2312)Time elapsed: 0.032 s
% 0.20/0.59 % (2312)Instructions burned: 51 (million)
% 0.20/0.59 % (2312)------------------------------
% 0.20/0.59 % (2312)------------------------------
% 0.20/0.60 % (2318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (2318)Termination reason: Unknown
% 0.20/0.60 % (2318)Termination phase: Property scanning
% 0.20/0.60
% 0.20/0.60 % (2318)Memory used [KB]: 1663
% 0.20/0.60 % (2318)Time elapsed: 0.013 s
% 0.20/0.60 % (2318)Instructions burned: 11 (million)
% 0.20/0.60 % (2318)------------------------------
% 0.20/0.60 % (2318)------------------------------
% 0.20/0.60 % (2305)Instruction limit reached!
% 0.20/0.60 % (2305)------------------------------
% 0.20/0.60 % (2305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.60 % (2305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (2305)Termination reason: Unknown
% 0.20/0.60 % (2305)Termination phase: Saturation
% 0.20/0.60
% 0.20/0.60 % (2305)Memory used [KB]: 7036
% 0.20/0.60 % (2305)Time elapsed: 0.175 s
% 0.20/0.60 % (2305)Instructions burned: 40 (million)
% 0.20/0.60 % (2305)------------------------------
% 0.20/0.60 % (2305)------------------------------
% 0.20/0.60 % (2319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.60 % (2319)Termination reason: Unknown
% 0.20/0.60 % (2319)Termination phase: Equality proxy
% 0.20/0.60
% 0.20/0.60 % (2319)Memory used [KB]: 1918
% 0.20/0.60 % (2319)Time elapsed: 0.014 s
% 0.20/0.60 % (2319)Instructions burned: 30 (million)
% 0.20/0.60 % (2319)------------------------------
% 0.20/0.60 % (2319)------------------------------
% 0.20/0.61 % (2323)Refutation not found, incomplete strategy% (2323)------------------------------
% 0.20/0.61 % (2323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (2323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (2323)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.61
% 0.20/0.61 % (2323)Memory used [KB]: 7164
% 0.20/0.61 % (2323)Time elapsed: 0.189 s
% 0.20/0.61 % (2323)Instructions burned: 37 (million)
% 0.20/0.61 % (2323)------------------------------
% 0.20/0.61 % (2323)------------------------------
% 0.20/0.61 % (2322)Instruction limit reached!
% 0.20/0.61 % (2322)------------------------------
% 0.20/0.61 % (2322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.61 % (2322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.61 % (2322)Termination reason: Unknown
% 0.20/0.61 % (2322)Termination phase: Saturation
% 0.20/0.61
% 0.20/0.61 % (2322)Memory used [KB]: 2174
% 0.20/0.61 % (2322)Time elapsed: 0.025 s
% 0.20/0.61 % (2322)Instructions burned: 46 (million)
% 0.20/0.61 % (2322)------------------------------
% 0.20/0.61 % (2322)------------------------------
% 1.87/0.62 % (2321)Instruction limit reached!
% 1.87/0.62 % (2321)------------------------------
% 1.87/0.62 % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (2321)Termination reason: Unknown
% 1.87/0.62 % (2321)Termination phase: Property scanning
% 1.87/0.62
% 1.87/0.62 % (2321)Memory used [KB]: 1918
% 1.87/0.62 % (2321)Time elapsed: 0.030 s
% 1.87/0.62 % (2321)Instructions burned: 82 (million)
% 1.87/0.62 % (2321)------------------------------
% 1.87/0.62 % (2321)------------------------------
% 1.87/0.62 % (2320)Refutation not found, incomplete strategy% (2320)------------------------------
% 1.87/0.62 % (2320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.62 % (2320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.62 % (2320)Termination reason: Refutation not found, incomplete strategy
% 1.87/0.62
% 1.87/0.62 % (2320)Memory used [KB]: 6908
% 1.87/0.62 % (2320)Time elapsed: 0.208 s
% 1.87/0.62 % (2320)Instructions burned: 67 (million)
% 1.87/0.62 % (2320)------------------------------
% 1.87/0.62 % (2320)------------------------------
% 1.87/0.63 % (2306)Instruction limit reached!
% 1.87/0.63 % (2306)------------------------------
% 1.87/0.63 % (2306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (2306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (2306)Termination reason: Unknown
% 1.87/0.63 % (2306)Termination phase: Saturation
% 1.87/0.63
% 1.87/0.63 % (2306)Memory used [KB]: 6908
% 1.87/0.63 % (2306)Time elapsed: 0.021 s
% 1.87/0.63 % (2306)Instructions burned: 40 (million)
% 1.87/0.63 % (2306)------------------------------
% 1.87/0.63 % (2306)------------------------------
% 1.87/0.63 % (2302)Instruction limit reached!
% 1.87/0.63 % (2302)------------------------------
% 1.87/0.63 % (2302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.87/0.63 % (2302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.87/0.63 % (2302)Termination reason: Unknown
% 1.87/0.63 % (2302)Termination phase: Saturation
% 1.87/0.63
% 1.87/0.63 % (2302)Memory used [KB]: 6908
% 1.87/0.63 % (2302)Time elapsed: 0.040 s
% 1.87/0.63 % (2302)Instructions burned: 51 (million)
% 1.87/0.63 % (2302)------------------------------
% 1.87/0.63 % (2302)------------------------------
% 2.19/0.64 % (2307)Instruction limit reached!
% 2.19/0.64 % (2307)------------------------------
% 2.19/0.64 % (2307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64 % (2307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64 % (2307)Termination reason: Unknown
% 2.19/0.64 % (2307)Termination phase: Saturation
% 2.19/0.64
% 2.19/0.64 % (2307)Memory used [KB]: 7036
% 2.19/0.64 % (2307)Time elapsed: 0.024 s
% 2.19/0.64 % (2307)Instructions burned: 50 (million)
% 2.19/0.64 % (2307)------------------------------
% 2.19/0.64 % (2307)------------------------------
% 2.25/0.65 % (2315)Instruction limit reached!
% 2.25/0.65 % (2315)------------------------------
% 2.25/0.65 % (2315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.65 % (2315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.65 % (2315)Termination reason: Unknown
% 2.25/0.65 % (2315)Termination phase: Saturation
% 2.25/0.65
% 2.25/0.65 % (2315)Memory used [KB]: 7036
% 2.25/0.65 % (2315)Time elapsed: 0.029 s
% 2.25/0.65 % (2315)Instructions burned: 52 (million)
% 2.25/0.65 % (2315)------------------------------
% 2.25/0.65 % (2315)------------------------------
% 2.25/0.66 % (2411)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.25/0.66 % (2325)Refutation not found, incomplete strategy% (2325)------------------------------
% 2.25/0.66 % (2325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.66 % (2325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.66 % (2325)Termination reason: Refutation not found, incomplete strategy
% 2.25/0.66
% 2.25/0.66 % (2325)Memory used [KB]: 7164
% 2.25/0.66 % (2325)Time elapsed: 0.247 s
% 2.25/0.66 % (2325)Instructions burned: 67 (million)
% 2.25/0.66 % (2325)------------------------------
% 2.25/0.66 % (2325)------------------------------
% 2.25/0.67 % (2420)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.25/0.68 % (2422)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.25/0.68 % (2416)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.25/0.68 % (2401)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.25/0.69 % (2403)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.25/0.69 % (2404)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.25/0.69 % (2398)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.25/0.69 % (2433)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.25/0.69 % (2417)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.25/0.69 % (2324)First to succeed.
% 2.25/0.70 % (2410)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.25/0.70 % (2401)Instruction limit reached!
% 2.25/0.70 % (2401)------------------------------
% 2.25/0.70 % (2401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.25/0.70 % (2401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.25/0.70 % (2401)Termination reason: Unknown
% 2.25/0.70 % (2401)Termination phase: Property scanning
% 2.25/0.70
% 2.25/0.70 % (2401)Memory used [KB]: 1663
% 2.25/0.70 % (2401)Time elapsed: 0.004 s
% 2.25/0.70 % (2401)Instructions burned: 7 (million)
% 2.25/0.70 % (2401)------------------------------
% 2.25/0.70 % (2401)------------------------------
% 2.25/0.71 % (2418)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.52/0.71 % (2433)Instruction limit reached!
% 2.52/0.71 % (2433)------------------------------
% 2.52/0.71 % (2433)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.71 % (2433)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.71 % (2433)Termination reason: Unknown
% 2.52/0.71 % (2433)Termination phase: Saturation
% 2.52/0.71
% 2.52/0.71 % (2433)Memory used [KB]: 1791
% 2.52/0.71 % (2433)Time elapsed: 0.013 s
% 2.52/0.71 % (2433)Instructions burned: 15 (million)
% 2.52/0.71 % (2433)------------------------------
% 2.52/0.71 % (2433)------------------------------
% 2.52/0.71 % (2435)lrs+1002_1:32_ep=RS:ss=axioms:st=5.0:i=149:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/149Mi)
% 2.52/0.72 % (2431)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.52/0.72 % (2421)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.52/0.72 % (2324)Refutation found. Thanks to Tanya!
% 2.52/0.72 % SZS status Theorem for theBenchmark
% 2.52/0.72 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.73 % (2324)------------------------------
% 2.52/0.73 % (2324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.52/0.73 % (2324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.52/0.73 % (2324)Termination reason: Refutation
% 2.52/0.73
% 2.52/0.73 % (2324)Memory used [KB]: 7931
% 2.52/0.73 % (2324)Time elapsed: 0.053 s
% 2.52/0.73 % (2324)Instructions burned: 82 (million)
% 2.52/0.73 % (2324)------------------------------
% 2.52/0.73 % (2324)------------------------------
% 2.52/0.73 % (2298)Success in time 0.359 s
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