TSTP Solution File: NUN055+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Tue Apr 30 14:40:16 EDT 2024
% Result : Theorem 0.11s 0.38s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 162
% Syntax : Number of formulae : 550 ( 55 unt; 0 def)
% Number of atoms : 1772 ( 330 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 2137 ( 915 ~; 913 |; 159 &)
% ( 131 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 137 ( 135 usr; 132 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 951 ( 846 !; 105 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1345,plain,
$false,
inference(avatar_sat_refutation,[],[f113,f117,f121,f125,f129,f133,f137,f141,f145,f149,f153,f164,f168,f173,f177,f181,f187,f191,f195,f201,f205,f209,f219,f223,f227,f231,f236,f240,f245,f250,f259,f263,f267,f271,f275,f299,f303,f308,f313,f321,f325,f330,f334,f338,f344,f349,f353,f357,f361,f365,f377,f381,f385,f389,f397,f405,f409,f413,f417,f442,f446,f460,f464,f478,f485,f489,f496,f509,f521,f525,f535,f542,f546,f550,f572,f576,f583,f599,f603,f608,f613,f639,f643,f647,f696,f700,f719,f723,f734,f748,f755,f765,f773,f800,f804,f818,f828,f837,f841,f845,f849,f853,f889,f893,f930,f934,f938,f942,f1004,f1008,f1012,f1016,f1020,f1024,f1028,f1032,f1182,f1186,f1190,f1194,f1291,f1295,f1299,f1303,f1307,f1311,f1315,f1319,f1323,f1327,f1331,f1340,f1341,f1342,f1343]) ).
fof(f1343,plain,
( ~ spl20_3
| ~ spl20_121 ),
inference(avatar_contradiction_clause,[],[f1336]) ).
fof(f1336,plain,
( $false
| ~ spl20_3
| ~ spl20_121 ),
inference(resolution,[],[f1290,f120]) ).
fof(f120,plain,
( ! [X0] : r1(sK4(X0))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f119,plain,
( spl20_3
<=> ! [X0] : r1(sK4(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f1290,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_121 ),
inference(avatar_component_clause,[],[f1289]) ).
fof(f1289,plain,
( spl20_121
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_121])]) ).
fof(f1342,plain,
( ~ spl20_2
| ~ spl20_121 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
fof(f1337,plain,
( $false
| ~ spl20_2
| ~ spl20_121 ),
inference(resolution,[],[f1290,f116]) ).
fof(f116,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl20_2
<=> ! [X0] : r1(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f1341,plain,
( ~ spl20_4
| ~ spl20_121 ),
inference(avatar_contradiction_clause,[],[f1338]) ).
fof(f1338,plain,
( $false
| ~ spl20_4
| ~ spl20_121 ),
inference(resolution,[],[f1290,f124]) ).
fof(f124,plain,
( ! [X0] : r1(sK7(X0))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f123,plain,
( spl20_4
<=> ! [X0] : r1(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f1340,plain,
( ~ spl20_1
| ~ spl20_121 ),
inference(avatar_contradiction_clause,[],[f1339]) ).
fof(f1339,plain,
( $false
| ~ spl20_1
| ~ spl20_121 ),
inference(resolution,[],[f1290,f112]) ).
fof(f112,plain,
( r1(sK19)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f110]) ).
fof(f110,plain,
( spl20_1
<=> r1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f1331,plain,
( spl20_131
| ~ spl20_70
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f706,f694,f523,f1329]) ).
fof(f1329,plain,
( spl20_131
<=> ! [X0] :
( r4(sK19,sK1(X0),sK10(sK19,sK0(X0)))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_131])]) ).
fof(f523,plain,
( spl20_70
<=> ! [X0] : sK10(sK19,X0) = sK11(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f694,plain,
( spl20_85
<=> ! [X0,X1] :
( r4(X1,sK1(X0),sK11(X1,sK0(X0)))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f706,plain,
( ! [X0] :
( r4(sK19,sK1(X0),sK10(sK19,sK0(X0)))
| sK2(X0) = X0 )
| ~ spl20_70
| ~ spl20_85 ),
inference(superposition,[],[f695,f524]) ).
fof(f524,plain,
( ! [X0] : sK10(sK19,X0) = sK11(sK19,X0)
| ~ spl20_70 ),
inference(avatar_component_clause,[],[f523]) ).
fof(f695,plain,
( ! [X0,X1] :
( r4(X1,sK1(X0),sK11(X1,sK0(X0)))
| sK2(X0) = X0 )
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f694]) ).
fof(f1327,plain,
( spl20_130
| ~ spl20_73
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f682,f645,f544,f1325]) ).
fof(f1325,plain,
( spl20_130
<=> ! [X0,X1] : sK11(sK8(X0),sK8(X1)) = sK15(sK11(sK8(X0),X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_130])]) ).
fof(f544,plain,
( spl20_73
<=> ! [X0,X1] : sK11(X0,X1) = sK10(X0,sK8(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f645,plain,
( spl20_84
<=> ! [X0,X1] : sK15(sK10(sK8(X0),X1),X0) = sK11(sK8(X0),X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f682,plain,
( ! [X0,X1] : sK11(sK8(X0),sK8(X1)) = sK15(sK11(sK8(X0),X1),X0)
| ~ spl20_73
| ~ spl20_84 ),
inference(superposition,[],[f646,f545]) ).
fof(f545,plain,
( ! [X0,X1] : sK11(X0,X1) = sK10(X0,sK8(X1))
| ~ spl20_73 ),
inference(avatar_component_clause,[],[f544]) ).
fof(f646,plain,
( ! [X0,X1] : sK15(sK10(sK8(X0),X1),X0) = sK11(sK8(X0),X1)
| ~ spl20_84 ),
inference(avatar_component_clause,[],[f645]) ).
fof(f1323,plain,
( spl20_129
| ~ spl20_72
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f668,f641,f540,f1321]) ).
fof(f1321,plain,
( spl20_129
<=> ! [X2,X0,X1] : sK14(X0,sK15(X1,X2)) = sK1(sK14(X0,sK15(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_129])]) ).
fof(f540,plain,
( spl20_72
<=> ! [X0,X1] : sK15(X0,X1) = sK1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f641,plain,
( spl20_83
<=> ! [X2,X0,X1] : sK15(X2,sK14(X0,X1)) = sK14(X2,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f668,plain,
( ! [X2,X0,X1] : sK14(X0,sK15(X1,X2)) = sK1(sK14(X0,sK15(X1,X2)))
| ~ spl20_72
| ~ spl20_83 ),
inference(superposition,[],[f541,f642]) ).
fof(f642,plain,
( ! [X2,X0,X1] : sK15(X2,sK14(X0,X1)) = sK14(X2,sK15(X0,X1))
| ~ spl20_83 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f541,plain,
( ! [X0,X1] : sK15(X0,X1) = sK1(sK15(X0,X1))
| ~ spl20_72 ),
inference(avatar_component_clause,[],[f540]) ).
fof(f1319,plain,
( spl20_128
| ~ spl20_74
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f666,f641,f548,f1317]) ).
fof(f1317,plain,
( spl20_128
<=> ! [X2,X0,X1] : sK14(X2,sK15(X0,sK8(X1))) = sK15(X2,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_128])]) ).
fof(f548,plain,
( spl20_74
<=> ! [X0,X1] : sK15(X0,X1) = sK14(X0,sK8(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f666,plain,
( ! [X2,X0,X1] : sK14(X2,sK15(X0,sK8(X1))) = sK15(X2,sK15(X0,X1))
| ~ spl20_74
| ~ spl20_83 ),
inference(superposition,[],[f642,f549]) ).
fof(f549,plain,
( ! [X0,X1] : sK15(X0,X1) = sK14(X0,sK8(X1))
| ~ spl20_74 ),
inference(avatar_component_clause,[],[f548]) ).
fof(f1315,plain,
( spl20_127
| ~ spl20_30
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f659,f637,f248,f1313]) ).
fof(f1313,plain,
( spl20_127
<=> ! [X2,X0,X1] : r3(sK10(X0,sK14(X1,X2)),X0,sK10(X0,sK15(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_127])]) ).
fof(f248,plain,
( spl20_30
<=> ! [X0,X1] : r3(sK10(X0,X1),X0,sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f637,plain,
( spl20_82
<=> ! [X2,X0,X1] : sK11(X2,sK14(X0,X1)) = sK10(X2,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f659,plain,
( ! [X2,X0,X1] : r3(sK10(X0,sK14(X1,X2)),X0,sK10(X0,sK15(X1,X2)))
| ~ spl20_30
| ~ spl20_82 ),
inference(superposition,[],[f249,f638]) ).
fof(f638,plain,
( ! [X2,X0,X1] : sK11(X2,sK14(X0,X1)) = sK10(X2,sK15(X0,X1))
| ~ spl20_82 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f249,plain,
( ! [X0,X1] : r3(sK10(X0,X1),X0,sK11(X0,X1))
| ~ spl20_30 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f1311,plain,
( spl20_126
| ~ spl20_74
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f655,f637,f548,f1309]) ).
fof(f1309,plain,
( spl20_126
<=> ! [X2,X0,X1] : sK10(X2,sK15(X0,sK8(X1))) = sK11(X2,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_126])]) ).
fof(f655,plain,
( ! [X2,X0,X1] : sK10(X2,sK15(X0,sK8(X1))) = sK11(X2,sK15(X0,X1))
| ~ spl20_74
| ~ spl20_82 ),
inference(superposition,[],[f638,f549]) ).
fof(f1307,plain,
( spl20_125
| ~ spl20_54
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f628,f611,f387,f1305]) ).
fof(f1305,plain,
( spl20_125
<=> ! [X0,X1] :
( ~ r2(X1,sK1(X0))
| sK0(X0) = X1
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_125])]) ).
fof(f387,plain,
( spl20_54
<=> ! [X0,X1] :
( X0 = X1
| ~ r2(X0,sK8(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f611,plain,
( spl20_81
<=> ! [X0] :
( sK1(X0) = sK8(sK0(X0))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f628,plain,
( ! [X0,X1] :
( ~ r2(X1,sK1(X0))
| sK0(X0) = X1
| sK2(X0) = sK19 )
| ~ spl20_54
| ~ spl20_81 ),
inference(superposition,[],[f388,f612]) ).
fof(f612,plain,
( ! [X0] :
( sK1(X0) = sK8(sK0(X0))
| sK2(X0) = sK19 )
| ~ spl20_81 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f388,plain,
( ! [X0,X1] :
( ~ r2(X0,sK8(X1))
| X0 = X1 )
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f1303,plain,
( spl20_124
| ~ spl20_29
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f627,f611,f243,f1301]) ).
fof(f1301,plain,
( spl20_124
<=> ! [X0,X1] :
( r3(X1,sK1(X0),sK15(X1,sK0(X0)))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_124])]) ).
fof(f243,plain,
( spl20_29
<=> ! [X0,X1] : r3(X0,sK8(X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f627,plain,
( ! [X0,X1] :
( r3(X1,sK1(X0),sK15(X1,sK0(X0)))
| sK2(X0) = sK19 )
| ~ spl20_29
| ~ spl20_81 ),
inference(superposition,[],[f244,f612]) ).
fof(f244,plain,
( ! [X0,X1] : r3(X0,sK8(X1),sK15(X0,X1))
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f1299,plain,
( spl20_123
| ~ spl20_27
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f626,f611,f234,f1297]) ).
fof(f1297,plain,
( spl20_123
<=> ! [X0,X1] :
( r4(X1,sK1(X0),sK11(X1,sK0(X0)))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_123])]) ).
fof(f234,plain,
( spl20_27
<=> ! [X0,X1] : r4(X0,sK8(X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f626,plain,
( ! [X0,X1] :
( r4(X1,sK1(X0),sK11(X1,sK0(X0)))
| sK2(X0) = sK19 )
| ~ spl20_27
| ~ spl20_81 ),
inference(superposition,[],[f235,f612]) ).
fof(f235,plain,
( ! [X0,X1] : r4(X0,sK8(X1),sK11(X0,X1))
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f1295,plain,
( spl20_122
| ~ spl20_32
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f516,f507,f261,f1293]) ).
fof(f1293,plain,
( spl20_122
<=> ! [X0] :
( r2(sK0(sK8(X0)),sK8(X0))
| sK8(X0) = sK2(sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_122])]) ).
fof(f261,plain,
( spl20_32
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f507,plain,
( spl20_68
<=> ! [X0] : sK8(X0) = sK1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f516,plain,
( ! [X0] :
( r2(sK0(sK8(X0)),sK8(X0))
| sK8(X0) = sK2(sK8(X0)) )
| ~ spl20_32
| ~ spl20_68 ),
inference(superposition,[],[f262,f508]) ).
fof(f508,plain,
( ! [X0] : sK8(X0) = sK1(sK8(X0))
| ~ spl20_68 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f262,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_32 ),
inference(avatar_component_clause,[],[f261]) ).
fof(f1291,plain,
( ~ spl20_1
| spl20_121
| ~ spl20_67
| ~ spl20_111 ),
inference(avatar_split_clause,[],[f1128,f1010,f494,f1289,f110]) ).
fof(f494,plain,
( spl20_67
<=> ! [X0] : sK14(X0,sK19) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f1010,plain,
( spl20_111
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r1(sK14(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).
fof(f1128,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(sK19) )
| ~ spl20_67
| ~ spl20_111 ),
inference(duplicate_literal_removal,[],[f1123]) ).
fof(f1123,plain,
( ! [X0] :
( ~ r1(X0)
| ~ r1(sK19)
| ~ r1(X0) )
| ~ spl20_67
| ~ spl20_111 ),
inference(superposition,[],[f1011,f495]) ).
fof(f495,plain,
( ! [X0] : sK14(X0,sK19) = X0
| ~ spl20_67 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f1011,plain,
( ! [X0,X1] :
( ~ r1(sK14(X0,X1))
| ~ r1(X1)
| ~ r1(X0) )
| ~ spl20_111 ),
inference(avatar_component_clause,[],[f1010]) ).
fof(f1194,plain,
( spl20_120
| ~ spl20_22
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f689,f645,f207,f1192]) ).
fof(f1192,plain,
( spl20_120
<=> ! [X0,X1] : r2(sK14(sK10(sK8(X0),X1),X0),sK11(sK8(X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_120])]) ).
fof(f207,plain,
( spl20_22
<=> ! [X0,X1] : r2(sK14(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f689,plain,
( ! [X0,X1] : r2(sK14(sK10(sK8(X0),X1),X0),sK11(sK8(X0),X1))
| ~ spl20_22
| ~ spl20_84 ),
inference(superposition,[],[f208,f646]) ).
fof(f208,plain,
( ! [X0,X1] : r2(sK14(X0,X1),sK15(X0,X1))
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f207]) ).
fof(f1190,plain,
( spl20_119
| ~ spl20_22
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f673,f641,f207,f1188]) ).
fof(f1188,plain,
( spl20_119
<=> ! [X2,X0,X1] : r2(sK14(X0,sK14(X1,X2)),sK14(X0,sK15(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).
fof(f673,plain,
( ! [X2,X0,X1] : r2(sK14(X0,sK14(X1,X2)),sK14(X0,sK15(X1,X2)))
| ~ spl20_22
| ~ spl20_83 ),
inference(superposition,[],[f208,f642]) ).
fof(f1186,plain,
( spl20_118
| ~ spl20_70
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f657,f637,f523,f1184]) ).
fof(f1184,plain,
( spl20_118
<=> ! [X0,X1] : sK10(sK19,sK14(X0,X1)) = sK10(sK19,sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).
fof(f657,plain,
( ! [X0,X1] : sK10(sK19,sK14(X0,X1)) = sK10(sK19,sK15(X0,X1))
| ~ spl20_70
| ~ spl20_82 ),
inference(superposition,[],[f638,f524]) ).
fof(f1182,plain,
( spl20_117
| ~ spl20_32
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f527,f519,f261,f1180]) ).
fof(f1180,plain,
( spl20_117
<=> ! [X0] :
( r2(sK0(X0),X0)
| sK2(X0) = X0
| sK19 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_117])]) ).
fof(f519,plain,
( spl20_69
<=> ! [X0] :
( sK1(X0) = X0
| sK19 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f527,plain,
( ! [X0] :
( r2(sK0(X0),X0)
| sK2(X0) = X0
| sK19 = X0 )
| ~ spl20_32
| ~ spl20_69 ),
inference(superposition,[],[f262,f520]) ).
fof(f520,plain,
( ! [X0] :
( sK1(X0) = X0
| sK19 = X0 )
| ~ spl20_69 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f1032,plain,
( spl20_116
| ~ spl20_72
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f684,f645,f540,f1030]) ).
fof(f1030,plain,
( spl20_116
<=> ! [X0,X1] : sK11(sK8(X0),X1) = sK1(sK11(sK8(X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_116])]) ).
fof(f684,plain,
( ! [X0,X1] : sK11(sK8(X0),X1) = sK1(sK11(sK8(X0),X1))
| ~ spl20_72
| ~ spl20_84 ),
inference(superposition,[],[f541,f646]) ).
fof(f1028,plain,
( spl20_115
| ~ spl20_57
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f589,f574,f407,f1026]) ).
fof(f1026,plain,
( spl20_115
<=> ! [X0,X1] : sK15(sK10(X0,X1),X0) = sK8(sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_115])]) ).
fof(f407,plain,
( spl20_57
<=> ! [X0,X1] : sK15(X0,X1) = sK8(sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f574,plain,
( spl20_76
<=> ! [X0,X1] : sK11(X0,X1) = sK14(sK10(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f589,plain,
( ! [X0,X1] : sK15(sK10(X0,X1),X0) = sK8(sK11(X0,X1))
| ~ spl20_57
| ~ spl20_76 ),
inference(superposition,[],[f408,f575]) ).
fof(f575,plain,
( ! [X0,X1] : sK11(X0,X1) = sK14(sK10(X0,X1),X0)
| ~ spl20_76 ),
inference(avatar_component_clause,[],[f574]) ).
fof(f408,plain,
( ! [X0,X1] : sK15(X0,X1) = sK8(sK14(X0,X1))
| ~ spl20_57 ),
inference(avatar_component_clause,[],[f407]) ).
fof(f1024,plain,
( spl20_114
| ~ spl20_73
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f585,f574,f544,f1022]) ).
fof(f1022,plain,
( spl20_114
<=> ! [X0,X1] : sK11(X0,sK8(X1)) = sK14(sK11(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_114])]) ).
fof(f585,plain,
( ! [X0,X1] : sK11(X0,sK8(X1)) = sK14(sK11(X0,X1),X0)
| ~ spl20_73
| ~ spl20_76 ),
inference(superposition,[],[f575,f545]) ).
fof(f1020,plain,
( spl20_113
| ~ spl20_9
| ~ spl20_75 ),
inference(avatar_split_clause,[],[f577,f570,f143,f1018]) ).
fof(f1018,plain,
( spl20_113
<=> ! [X0] :
( sK1(X0) = sK1(sK1(X0))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_113])]) ).
fof(f143,plain,
( spl20_9
<=> ! [X1] :
( sK19 = X1
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f570,plain,
( spl20_75
<=> ! [X0] :
( sK1(X0) = sK1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f577,plain,
( ! [X0] :
( sK1(X0) = sK1(sK1(X0))
| sK2(X0) = sK19 )
| ~ spl20_9
| ~ spl20_75 ),
inference(resolution,[],[f571,f144]) ).
fof(f144,plain,
( ! [X1] :
( ~ r1(X1)
| sK19 = X1 )
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f571,plain,
( ! [X0] :
( r1(sK2(X0))
| sK1(X0) = sK1(sK1(X0)) )
| ~ spl20_75 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f1016,plain,
( spl20_112
| ~ spl20_61
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f559,f544,f444,f1014]) ).
fof(f1014,plain,
( spl20_112
<=> ! [X0,X1] : sK11(X0,sK8(X1)) = sK18(sK11(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f444,plain,
( spl20_61
<=> ! [X0,X1] : sK11(X0,X1) = sK18(sK10(X0,X1),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f559,plain,
( ! [X0,X1] : sK11(X0,sK8(X1)) = sK18(sK11(X0,X1),X0)
| ~ spl20_61
| ~ spl20_73 ),
inference(superposition,[],[f445,f545]) ).
fof(f445,plain,
( ! [X0,X1] : sK11(X0,X1) = sK18(sK10(X0,X1),X0)
| ~ spl20_61 ),
inference(avatar_component_clause,[],[f444]) ).
fof(f1012,plain,
( spl20_111
| ~ spl20_6
| ~ spl20_100 ),
inference(avatar_split_clause,[],[f923,f843,f131,f1010]) ).
fof(f131,plain,
( spl20_6
<=> ! [X0] : r2(X0,sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f843,plain,
( spl20_100
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,sK8(X2))
| ~ r1(X1)
| ~ r1(sK14(X0,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f923,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r1(sK14(X0,X1)) )
| ~ spl20_6
| ~ spl20_100 ),
inference(resolution,[],[f844,f132]) ).
fof(f132,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f844,plain,
( ! [X2,X0,X1] :
( ~ r2(X1,sK8(X2))
| ~ r1(X0)
| ~ r1(X1)
| ~ r1(sK14(X0,X2)) )
| ~ spl20_100 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f1008,plain,
( spl20_110
| ~ spl20_23
| ~ spl20_69 ),
inference(avatar_split_clause,[],[f526,f519,f217,f1006]) ).
fof(f1006,plain,
( spl20_110
<=> ! [X0] :
( r2(sK0(X0),X0)
| r1(sK2(X0))
| sK19 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).
fof(f217,plain,
( spl20_23
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f526,plain,
( ! [X0] :
( r2(sK0(X0),X0)
| r1(sK2(X0))
| sK19 = X0 )
| ~ spl20_23
| ~ spl20_69 ),
inference(superposition,[],[f218,f520]) ).
fof(f218,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f217]) ).
fof(f1004,plain,
( spl20_109
| ~ spl20_23
| ~ spl20_68 ),
inference(avatar_split_clause,[],[f517,f507,f217,f1002]) ).
fof(f1002,plain,
( spl20_109
<=> ! [X0] :
( r2(sK0(sK8(X0)),sK8(X0))
| r1(sK2(sK8(X0))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).
fof(f517,plain,
( ! [X0] :
( r2(sK0(sK8(X0)),sK8(X0))
| r1(sK2(sK8(X0))) )
| ~ spl20_23
| ~ spl20_68 ),
inference(superposition,[],[f218,f508]) ).
fof(f942,plain,
( spl20_108
| ~ spl20_39
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f740,f721,f311,f940]) ).
fof(f940,plain,
( spl20_108
<=> ! [X0,X1] :
( ~ r1(sK14(X0,sK1(X1)))
| sK2(X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f311,plain,
( spl20_39
<=> ! [X0,X1] : ~ r1(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f721,plain,
( spl20_88
<=> ! [X0,X1] :
( sK15(X1,sK0(X0)) = sK14(X1,sK1(X0))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f740,plain,
( ! [X0,X1] :
( ~ r1(sK14(X0,sK1(X1)))
| sK2(X1) = X1 )
| ~ spl20_39
| ~ spl20_88 ),
inference(superposition,[],[f312,f722]) ).
fof(f722,plain,
( ! [X0,X1] :
( sK15(X1,sK0(X0)) = sK14(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_88 ),
inference(avatar_component_clause,[],[f721]) ).
fof(f312,plain,
( ! [X0,X1] : ~ r1(sK15(X0,X1))
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f311]) ).
fof(f938,plain,
( spl20_107
| ~ spl20_6
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f624,f611,f131,f936]) ).
fof(f936,plain,
( spl20_107
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).
fof(f624,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| sK2(X0) = sK19 )
| ~ spl20_6
| ~ spl20_81 ),
inference(superposition,[],[f132,f612]) ).
fof(f934,plain,
( spl20_106
| ~ spl20_57
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f565,f548,f407,f932]) ).
fof(f932,plain,
( spl20_106
<=> ! [X0,X1] : sK15(X0,sK8(X1)) = sK8(sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f565,plain,
( ! [X0,X1] : sK15(X0,sK8(X1)) = sK8(sK15(X0,X1))
| ~ spl20_57
| ~ spl20_74 ),
inference(superposition,[],[f408,f549]) ).
fof(f930,plain,
( spl20_105
| ~ spl20_30
| ~ spl20_73 ),
inference(avatar_split_clause,[],[f560,f544,f248,f928]) ).
fof(f928,plain,
( spl20_105
<=> ! [X0,X1] : r3(sK11(X0,X1),X0,sK11(X0,sK8(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f560,plain,
( ! [X0,X1] : r3(sK11(X0,X1),X0,sK11(X0,sK8(X1)))
| ~ spl20_30
| ~ spl20_73 ),
inference(superposition,[],[f249,f545]) ).
fof(f893,plain,
( spl20_104
| ~ spl20_65
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f681,f645,f483,f891]) ).
fof(f891,plain,
( spl20_104
<=> ! [X0] : sK11(sK8(X0),sK19) = sK15(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f483,plain,
( spl20_65
<=> ! [X0] : sK19 = sK10(X0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f681,plain,
( ! [X0] : sK11(sK8(X0),sK19) = sK15(sK19,X0)
| ~ spl20_65
| ~ spl20_84 ),
inference(superposition,[],[f646,f484]) ).
fof(f484,plain,
( ! [X0] : sK19 = sK10(X0,sK19)
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f483]) ).
fof(f889,plain,
( spl20_103
| ~ spl20_22
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f567,f548,f207,f887]) ).
fof(f887,plain,
( spl20_103
<=> ! [X0,X1] : r2(sK15(X0,X1),sK15(X0,sK8(X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f567,plain,
( ! [X0,X1] : r2(sK15(X0,X1),sK15(X0,sK8(X1)))
| ~ spl20_22
| ~ spl20_74 ),
inference(superposition,[],[f208,f549]) ).
fof(f853,plain,
( spl20_102
| ~ spl20_13
| ~ spl20_81 ),
inference(avatar_split_clause,[],[f625,f611,f166,f851]) ).
fof(f851,plain,
( spl20_102
<=> ! [X0] :
( ~ r1(sK1(X0))
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f166,plain,
( spl20_13
<=> ! [X0] : ~ r1(sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f625,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| sK2(X0) = sK19 )
| ~ spl20_13
| ~ spl20_81 ),
inference(superposition,[],[f167,f612]) ).
fof(f167,plain,
( ! [X0] : ~ r1(sK8(X0))
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f849,plain,
( spl20_101
| ~ spl20_65
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f584,f574,f483,f847]) ).
fof(f847,plain,
( spl20_101
<=> ! [X0] : sK11(X0,sK19) = sK14(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f584,plain,
( ! [X0] : sK11(X0,sK19) = sK14(sK19,X0)
| ~ spl20_65
| ~ spl20_76 ),
inference(superposition,[],[f575,f484]) ).
fof(f845,plain,
( spl20_100
| ~ spl20_22
| ~ spl20_89 ),
inference(avatar_split_clause,[],[f791,f732,f207,f843]) ).
fof(f732,plain,
( spl20_89
<=> ! [X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X2,sK8(X3))
| ~ r1(X2)
| ~ r2(X0,sK15(X1,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f791,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ r2(X1,sK8(X2))
| ~ r1(X1)
| ~ r1(sK14(X0,X2)) )
| ~ spl20_22
| ~ spl20_89 ),
inference(resolution,[],[f733,f208]) ).
fof(f733,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,sK15(X1,X3))
| ~ r1(X1)
| ~ r2(X2,sK8(X3))
| ~ r1(X2)
| ~ r1(X0) )
| ~ spl20_89 ),
inference(avatar_component_clause,[],[f732]) ).
fof(f841,plain,
( spl20_99
| ~ spl20_27
| ~ spl20_70 ),
inference(avatar_split_clause,[],[f538,f523,f234,f839]) ).
fof(f839,plain,
( spl20_99
<=> ! [X0] : r4(sK19,sK8(X0),sK10(sK19,X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f538,plain,
( ! [X0] : r4(sK19,sK8(X0),sK10(sK19,X0))
| ~ spl20_27
| ~ spl20_70 ),
inference(superposition,[],[f235,f524]) ).
fof(f837,plain,
( spl20_98
| ~ spl20_61
| ~ spl20_65 ),
inference(avatar_split_clause,[],[f497,f483,f444,f835]) ).
fof(f835,plain,
( spl20_98
<=> ! [X0] : sK11(X0,sK19) = sK18(sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f497,plain,
( ! [X0] : sK11(X0,sK19) = sK18(sK19,X0)
| ~ spl20_61
| ~ spl20_65 ),
inference(superposition,[],[f445,f484]) ).
fof(f828,plain,
( spl20_97
| ~ spl20_46
| ~ spl20_87 ),
inference(avatar_split_clause,[],[f726,f717,f347,f826]) ).
fof(f826,plain,
( spl20_97
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r2(X2,sK10(X0,sK1(X1)))
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r1(sK10(X0,sK0(X1)))
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X0)
| sK2(X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f347,plain,
( spl20_46
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,sK11(X2,X3))
| ~ r2(X0,X1)
| ~ r1(sK10(X2,X3))
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f717,plain,
( spl20_87
<=> ! [X0,X1] :
( sK11(X1,sK0(X0)) = sK10(X1,sK1(X0))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f726,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X2,sK10(X0,sK1(X1)))
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r1(sK10(X0,sK0(X1)))
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X0)
| sK2(X1) = X1 )
| ~ spl20_46
| ~ spl20_87 ),
inference(superposition,[],[f348,f718]) ).
fof(f718,plain,
( ! [X0,X1] :
( sK11(X1,sK0(X0)) = sK10(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_87 ),
inference(avatar_component_clause,[],[f717]) ).
fof(f348,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X1,sK11(X2,X3))
| ~ r1(X0)
| ~ r2(X0,X1)
| ~ r1(sK10(X2,X3))
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X2) )
| ~ spl20_46 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f818,plain,
( spl20_96
| ~ spl20_45
| ~ spl20_88 ),
inference(avatar_split_clause,[],[f739,f721,f342,f816]) ).
fof(f816,plain,
( spl20_96
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r2(X2,sK14(X0,sK1(X1)))
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r1(X0)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK8(sK0(X1)))
| sK2(X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f342,plain,
( spl20_45
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,sK15(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK8(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f739,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X2,sK14(X0,sK1(X1)))
| ~ r1(X3)
| ~ r2(X3,X2)
| ~ r1(X0)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK8(sK0(X1)))
| sK2(X1) = X1 )
| ~ spl20_45
| ~ spl20_88 ),
inference(superposition,[],[f343,f722]) ).
fof(f343,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r2(X1,sK15(X2,X3))
| ~ r1(X0)
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK8(X3)) )
| ~ spl20_45 ),
inference(avatar_component_clause,[],[f342]) ).
fof(f804,plain,
( spl20_95
| ~ spl20_12
| ~ spl20_86 ),
inference(avatar_split_clause,[],[f709,f698,f162,f802]) ).
fof(f802,plain,
( spl20_95
<=> ! [X5,X4,X0,X3,X2,X1] :
( sK2(X0) = X0
| ~ r1(X1)
| ~ r2(X2,sK15(X3,sK0(X0)))
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f162,plain,
( spl20_12
<=> ! [X5,X6,X4,X7,X3,X2,X1] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r3(X5,X4,X1)
| ~ r1(X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f698,plain,
( spl20_86
<=> ! [X0,X1] :
( r3(X1,sK1(X0),sK15(X1,sK0(X0)))
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f709,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( sK2(X0) = X0
| ~ r1(X1)
| ~ r2(X2,sK15(X3,sK0(X0)))
| ~ r2(X1,X2)
| ~ r1(X3)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK1(X0)) )
| ~ spl20_12
| ~ spl20_86 ),
inference(resolution,[],[f699,f163]) ).
fof(f163,plain,
( ! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r3(X5,X4,X1)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r2(X3,X2)
| ~ r1(X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X4) )
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f699,plain,
( ! [X0,X1] :
( r3(X1,sK1(X0),sK15(X1,sK0(X0)))
| sK2(X0) = X0 )
| ~ spl20_86 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f800,plain,
( spl20_94
| ~ spl20_46
| ~ spl20_82 ),
inference(avatar_split_clause,[],[f658,f637,f347,f798]) ).
fof(f798,plain,
( spl20_94
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ r2(X3,sK10(X0,sK15(X1,X2)))
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r1(sK10(X0,sK14(X1,X2)))
| ~ r2(X5,X6)
| ~ r1(X5)
| ~ r2(X6,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f658,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r2(X3,sK10(X0,sK15(X1,X2)))
| ~ r1(X4)
| ~ r2(X4,X3)
| ~ r1(sK10(X0,sK14(X1,X2)))
| ~ r2(X5,X6)
| ~ r1(X5)
| ~ r2(X6,X0) )
| ~ spl20_46
| ~ spl20_82 ),
inference(superposition,[],[f348,f638]) ).
fof(f773,plain,
( spl20_93
| ~ spl20_39
| ~ spl20_83 ),
inference(avatar_split_clause,[],[f671,f641,f311,f771]) ).
fof(f771,plain,
( spl20_93
<=> ! [X2,X0,X1] : ~ r1(sK14(X0,sK15(X1,X2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f671,plain,
( ! [X2,X0,X1] : ~ r1(sK14(X0,sK15(X1,X2)))
| ~ spl20_39
| ~ spl20_83 ),
inference(superposition,[],[f312,f642]) ).
fof(f765,plain,
( spl20_92
| ~ spl20_57
| ~ spl20_67 ),
inference(avatar_split_clause,[],[f501,f494,f407,f763]) ).
fof(f763,plain,
( spl20_92
<=> ! [X0] : sK8(X0) = sK15(X0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f501,plain,
( ! [X0] : sK8(X0) = sK15(X0,sK19)
| ~ spl20_57
| ~ spl20_67 ),
inference(superposition,[],[f408,f495]) ).
fof(f755,plain,
( spl20_91
| ~ spl20_39
| ~ spl20_84 ),
inference(avatar_split_clause,[],[f687,f645,f311,f753]) ).
fof(f753,plain,
( spl20_91
<=> ! [X0,X1] : ~ r1(sK11(sK8(X0),X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f687,plain,
( ! [X0,X1] : ~ r1(sK11(sK8(X0),X1))
| ~ spl20_39
| ~ spl20_84 ),
inference(superposition,[],[f312,f646]) ).
fof(f748,plain,
( spl20_90
| ~ spl20_55
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f588,f574,f395,f746]) ).
fof(f746,plain,
( spl20_90
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X2,sK11(X0,X1))
| ~ r1(X2)
| ~ r1(sK10(X0,X1))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f395,plain,
( spl20_55
<=> ! [X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X0,sK14(X1,X2))
| ~ r1(X1)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f588,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X2,sK11(X0,X1))
| ~ r1(X2)
| ~ r1(sK10(X0,X1))
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(X0)) )
| ~ spl20_55
| ~ spl20_76 ),
inference(superposition,[],[f396,f575]) ).
fof(f396,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,sK14(X1,X2))
| ~ r1(X0)
| ~ r1(X1)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(X2)) )
| ~ spl20_55 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f734,plain,
( spl20_89
| ~ spl20_6
| ~ spl20_77 ),
inference(avatar_split_clause,[],[f648,f581,f131,f732]) ).
fof(f581,plain,
( spl20_77
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X2,sK15(X0,X1))
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(sK8(X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f648,plain,
( ! [X2,X3,X0,X1] :
( ~ r1(X0)
| ~ r1(X1)
| ~ r2(X2,sK8(X3))
| ~ r1(X2)
| ~ r2(X0,sK15(X1,X3)) )
| ~ spl20_6
| ~ spl20_77 ),
inference(resolution,[],[f582,f132]) ).
fof(f582,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X4,sK8(sK8(X1)))
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X2,sK15(X0,X1)) )
| ~ spl20_77 ),
inference(avatar_component_clause,[],[f581]) ).
fof(f723,plain,
( spl20_88
| ~ spl20_53
| ~ spl20_59
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f473,f458,f415,f383,f721]) ).
fof(f383,plain,
( spl20_53
<=> ! [X0,X1] : sK14(X0,X1) = sK18(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f415,plain,
( spl20_59
<=> ! [X0,X1] : sK15(X0,X1) = sK18(X0,sK8(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f458,plain,
( spl20_62
<=> ! [X0] :
( sK2(X0) = X0
| sK1(X0) = sK8(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f473,plain,
( ! [X0,X1] :
( sK15(X1,sK0(X0)) = sK14(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_53
| ~ spl20_59
| ~ spl20_62 ),
inference(forward_demodulation,[],[f471,f384]) ).
fof(f384,plain,
( ! [X0,X1] : sK14(X0,X1) = sK18(X0,X1)
| ~ spl20_53 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f471,plain,
( ! [X0,X1] :
( sK15(X1,sK0(X0)) = sK18(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_59
| ~ spl20_62 ),
inference(superposition,[],[f416,f459]) ).
fof(f459,plain,
( ! [X0] :
( sK1(X0) = sK8(sK0(X0))
| sK2(X0) = X0 )
| ~ spl20_62 ),
inference(avatar_component_clause,[],[f458]) ).
fof(f416,plain,
( ! [X0,X1] : sK15(X0,X1) = sK18(X0,sK8(X1))
| ~ spl20_59 ),
inference(avatar_component_clause,[],[f415]) ).
fof(f719,plain,
( spl20_87
| ~ spl20_52
| ~ spl20_58
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f472,f458,f411,f379,f717]) ).
fof(f379,plain,
( spl20_52
<=> ! [X0,X1] : sK10(X0,X1) = sK17(X0,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f411,plain,
( spl20_58
<=> ! [X0,X1] : sK11(X0,X1) = sK17(X0,sK8(X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f472,plain,
( ! [X0,X1] :
( sK11(X1,sK0(X0)) = sK10(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_52
| ~ spl20_58
| ~ spl20_62 ),
inference(forward_demodulation,[],[f470,f380]) ).
fof(f380,plain,
( ! [X0,X1] : sK10(X0,X1) = sK17(X0,X1)
| ~ spl20_52 ),
inference(avatar_component_clause,[],[f379]) ).
fof(f470,plain,
( ! [X0,X1] :
( sK11(X1,sK0(X0)) = sK17(X1,sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_58
| ~ spl20_62 ),
inference(superposition,[],[f412,f459]) ).
fof(f412,plain,
( ! [X0,X1] : sK11(X0,X1) = sK17(X0,sK8(X1))
| ~ spl20_58 ),
inference(avatar_component_clause,[],[f411]) ).
fof(f700,plain,
( spl20_86
| ~ spl20_29
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f468,f458,f243,f698]) ).
fof(f468,plain,
( ! [X0,X1] :
( r3(X1,sK1(X0),sK15(X1,sK0(X0)))
| sK2(X0) = X0 )
| ~ spl20_29
| ~ spl20_62 ),
inference(superposition,[],[f244,f459]) ).
fof(f696,plain,
( spl20_85
| ~ spl20_27
| ~ spl20_62 ),
inference(avatar_split_clause,[],[f467,f458,f234,f694]) ).
fof(f467,plain,
( ! [X0,X1] :
( r4(X1,sK1(X0),sK11(X1,sK0(X0)))
| sK2(X0) = X0 )
| ~ spl20_27
| ~ spl20_62 ),
inference(superposition,[],[f235,f459]) ).
fof(f647,plain,
( spl20_84
| ~ spl20_59
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f452,f444,f415,f645]) ).
fof(f452,plain,
( ! [X0,X1] : sK15(sK10(sK8(X0),X1),X0) = sK11(sK8(X0),X1)
| ~ spl20_59
| ~ spl20_61 ),
inference(superposition,[],[f445,f416]) ).
fof(f643,plain,
( spl20_83
| ~ spl20_53
| ~ spl20_57
| ~ spl20_59 ),
inference(avatar_split_clause,[],[f438,f415,f407,f383,f641]) ).
fof(f438,plain,
( ! [X2,X0,X1] : sK15(X2,sK14(X0,X1)) = sK14(X2,sK15(X0,X1))
| ~ spl20_53
| ~ spl20_57
| ~ spl20_59 ),
inference(forward_demodulation,[],[f434,f384]) ).
fof(f434,plain,
( ! [X2,X0,X1] : sK15(X2,sK14(X0,X1)) = sK18(X2,sK15(X0,X1))
| ~ spl20_57
| ~ spl20_59 ),
inference(superposition,[],[f416,f408]) ).
fof(f639,plain,
( spl20_82
| ~ spl20_52
| ~ spl20_57
| ~ spl20_58 ),
inference(avatar_split_clause,[],[f433,f411,f407,f379,f637]) ).
fof(f433,plain,
( ! [X2,X0,X1] : sK11(X2,sK14(X0,X1)) = sK10(X2,sK15(X0,X1))
| ~ spl20_52
| ~ spl20_57
| ~ spl20_58 ),
inference(forward_demodulation,[],[f429,f380]) ).
fof(f429,plain,
( ! [X2,X0,X1] : sK11(X2,sK14(X0,X1)) = sK17(X2,sK15(X0,X1))
| ~ spl20_57
| ~ spl20_58 ),
inference(superposition,[],[f412,f408]) ).
fof(f613,plain,
( spl20_81
| ~ spl20_9
| ~ spl20_60 ),
inference(avatar_split_clause,[],[f447,f440,f143,f611]) ).
fof(f440,plain,
( spl20_60
<=> ! [X0] :
( r1(sK2(X0))
| sK1(X0) = sK8(sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f447,plain,
( ! [X0] :
( sK1(X0) = sK8(sK0(X0))
| sK2(X0) = sK19 )
| ~ spl20_9
| ~ spl20_60 ),
inference(resolution,[],[f441,f144]) ).
fof(f441,plain,
( ! [X0] :
( r1(sK2(X0))
| sK1(X0) = sK8(sK0(X0)) )
| ~ spl20_60 ),
inference(avatar_component_clause,[],[f440]) ).
fof(f608,plain,
( spl20_80
| ~ spl20_27
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f426,f407,f234,f606]) ).
fof(f606,plain,
( spl20_80
<=> ! [X2,X0,X1] : r4(X2,sK15(X0,X1),sK11(X2,sK14(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f426,plain,
( ! [X2,X0,X1] : r4(X2,sK15(X0,X1),sK11(X2,sK14(X0,X1)))
| ~ spl20_27
| ~ spl20_57 ),
inference(superposition,[],[f235,f408]) ).
fof(f603,plain,
( spl20_79
| ~ spl20_29
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f425,f407,f243,f601]) ).
fof(f601,plain,
( spl20_79
<=> ! [X2,X0,X1] : r3(X2,sK15(X0,X1),sK15(X2,sK14(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f425,plain,
( ! [X2,X0,X1] : r3(X2,sK15(X0,X1),sK15(X2,sK14(X0,X1)))
| ~ spl20_29
| ~ spl20_57 ),
inference(superposition,[],[f244,f408]) ).
fof(f599,plain,
( spl20_78
| ~ spl20_50
| ~ spl20_51 ),
inference(avatar_split_clause,[],[f390,f375,f363,f597]) ).
fof(f597,plain,
( spl20_78
<=> ! [X0] :
( sK2(X0) = X0
| sK1(X0) = sK1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f363,plain,
( spl20_50
<=> ! [X0] :
( r1(X0)
| sK1(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f375,plain,
( spl20_51
<=> ! [X0] :
( sK2(X0) = X0
| ~ r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f390,plain,
( ! [X0] :
( sK2(X0) = X0
| sK1(X0) = sK1(sK1(X0)) )
| ~ spl20_50
| ~ spl20_51 ),
inference(resolution,[],[f376,f364]) ).
fof(f364,plain,
( ! [X0] :
( r1(X0)
| sK1(X0) = X0 )
| ~ spl20_50 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f376,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| sK2(X0) = X0 )
| ~ spl20_51 ),
inference(avatar_component_clause,[],[f375]) ).
fof(f583,plain,
( spl20_77
| ~ spl20_55
| ~ spl20_74 ),
inference(avatar_split_clause,[],[f564,f548,f395,f581]) ).
fof(f564,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X2,sK15(X0,X1))
| ~ r1(X2)
| ~ r1(X0)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(sK8(X1))) )
| ~ spl20_55
| ~ spl20_74 ),
inference(superposition,[],[f396,f549]) ).
fof(f576,plain,
( spl20_76
| ~ spl20_53
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f451,f444,f383,f574]) ).
fof(f451,plain,
( ! [X0,X1] : sK11(X0,X1) = sK14(sK10(X0,X1),X0)
| ~ spl20_53
| ~ spl20_61 ),
inference(superposition,[],[f445,f384]) ).
fof(f572,plain,
( spl20_75
| ~ spl20_49
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f371,f363,f359,f570]) ).
fof(f359,plain,
( spl20_49
<=> ! [X0] :
( r1(sK2(X0))
| ~ r1(sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f371,plain,
( ! [X0] :
( sK1(X0) = sK1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_49
| ~ spl20_50 ),
inference(resolution,[],[f364,f360]) ).
fof(f360,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_49 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f550,plain,
( spl20_74
| ~ spl20_53
| ~ spl20_59 ),
inference(avatar_split_clause,[],[f435,f415,f383,f548]) ).
fof(f435,plain,
( ! [X0,X1] : sK15(X0,X1) = sK14(X0,sK8(X1))
| ~ spl20_53
| ~ spl20_59 ),
inference(superposition,[],[f416,f384]) ).
fof(f546,plain,
( spl20_73
| ~ spl20_52
| ~ spl20_58 ),
inference(avatar_split_clause,[],[f430,f411,f379,f544]) ).
fof(f430,plain,
( ! [X0,X1] : sK11(X0,X1) = sK10(X0,sK8(X1))
| ~ spl20_52
| ~ spl20_58 ),
inference(superposition,[],[f412,f380]) ).
fof(f542,plain,
( spl20_72
| ~ spl20_39
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f373,f363,f311,f540]) ).
fof(f373,plain,
( ! [X0,X1] : sK15(X0,X1) = sK1(sK15(X0,X1))
| ~ spl20_39
| ~ spl20_50 ),
inference(resolution,[],[f364,f312]) ).
fof(f535,plain,
( spl20_71
| ~ spl20_30
| ~ spl20_65 ),
inference(avatar_split_clause,[],[f498,f483,f248,f533]) ).
fof(f533,plain,
( spl20_71
<=> ! [X0] : r3(sK19,X0,sK11(X0,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f498,plain,
( ! [X0] : r3(sK19,X0,sK11(X0,sK19))
| ~ spl20_30
| ~ spl20_65 ),
inference(superposition,[],[f249,f484]) ).
fof(f525,plain,
( spl20_70
| ~ spl20_43
| ~ spl20_61 ),
inference(avatar_split_clause,[],[f450,f444,f332,f523]) ).
fof(f332,plain,
( spl20_43
<=> ! [X0] : sK18(X0,sK19) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f450,plain,
( ! [X0] : sK10(sK19,X0) = sK11(sK19,X0)
| ~ spl20_43
| ~ spl20_61 ),
inference(superposition,[],[f445,f333]) ).
fof(f333,plain,
( ! [X0] : sK18(X0,sK19) = X0
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f332]) ).
fof(f521,plain,
( spl20_69
| ~ spl20_9
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f370,f363,f143,f519]) ).
fof(f370,plain,
( ! [X0] :
( sK1(X0) = X0
| sK19 = X0 )
| ~ spl20_9
| ~ spl20_50 ),
inference(resolution,[],[f364,f144]) ).
fof(f509,plain,
( spl20_68
| ~ spl20_13
| ~ spl20_50 ),
inference(avatar_split_clause,[],[f372,f363,f166,f507]) ).
fof(f372,plain,
( ! [X0] : sK8(X0) = sK1(sK8(X0))
| ~ spl20_13
| ~ spl20_50 ),
inference(resolution,[],[f364,f167]) ).
fof(f496,plain,
( spl20_67
| ~ spl20_43
| ~ spl20_53 ),
inference(avatar_split_clause,[],[f398,f383,f332,f494]) ).
fof(f398,plain,
( ! [X0] : sK14(X0,sK19) = X0
| ~ spl20_43
| ~ spl20_53 ),
inference(superposition,[],[f384,f333]) ).
fof(f489,plain,
( spl20_66
| ~ spl20_32
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f292,f273,f261,f487]) ).
fof(f487,plain,
( spl20_66
<=> ! [X0,X1] :
( sK0(X1) = X0
| ~ r2(X0,sK1(X1))
| sK2(X1) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f273,plain,
( spl20_35
<=> ! [X0,X1,X3] :
( X0 = X1
| ~ r2(X1,X3)
| ~ r2(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f292,plain,
( ! [X0,X1] :
( sK0(X1) = X0
| ~ r2(X0,sK1(X1))
| sK2(X1) = X1 )
| ~ spl20_32
| ~ spl20_35 ),
inference(resolution,[],[f274,f262]) ).
fof(f274,plain,
( ! [X3,X0,X1] :
( ~ r2(X1,X3)
| X0 = X1
| ~ r2(X0,X3) )
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f273]) ).
fof(f485,plain,
( spl20_65
| ~ spl20_42
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f391,f379,f328,f483]) ).
fof(f328,plain,
( spl20_42
<=> ! [X0] : sK19 = sK17(X0,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f391,plain,
( ! [X0] : sK19 = sK10(X0,sK19)
| ~ spl20_42
| ~ spl20_52 ),
inference(superposition,[],[f380,f329]) ).
fof(f329,plain,
( ! [X0] : sK19 = sK17(X0,sK19)
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f328]) ).
fof(f478,plain,
( spl20_64
| ~ spl20_23
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f293,f273,f217,f476]) ).
fof(f476,plain,
( spl20_64
<=> ! [X0,X1] :
( sK0(X1) = X0
| ~ r2(X0,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f293,plain,
( ! [X0,X1] :
( sK0(X1) = X0
| ~ r2(X0,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_23
| ~ spl20_35 ),
inference(resolution,[],[f274,f218]) ).
fof(f464,plain,
( spl20_63
| ~ spl20_22
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f291,f273,f207,f462]) ).
fof(f462,plain,
( spl20_63
<=> ! [X2,X0,X1] :
( sK14(X1,X2) = X0
| ~ r2(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f291,plain,
( ! [X2,X0,X1] :
( sK14(X1,X2) = X0
| ~ r2(X0,sK15(X1,X2)) )
| ~ spl20_22
| ~ spl20_35 ),
inference(resolution,[],[f274,f208]) ).
fof(f460,plain,
( spl20_62
| ~ spl20_21
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f276,f261,f203,f458]) ).
fof(f203,plain,
( spl20_21
<=> ! [X2,X0] :
( sK8(X0) = X2
| ~ r2(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f276,plain,
( ! [X0] :
( sK2(X0) = X0
| sK1(X0) = sK8(sK0(X0)) )
| ~ spl20_21
| ~ spl20_32 ),
inference(resolution,[],[f262,f204]) ).
fof(f204,plain,
( ! [X2,X0] :
( ~ r2(X0,X2)
| sK8(X0) = X2 )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f446,plain,
( spl20_61
| ~ spl20_30
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f286,f269,f248,f444]) ).
fof(f269,plain,
( spl20_34
<=> ! [X0,X1,X3] :
( sK18(X0,X1) = X3
| ~ r3(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f286,plain,
( ! [X0,X1] : sK11(X0,X1) = sK18(sK10(X0,X1),X0)
| ~ spl20_30
| ~ spl20_34 ),
inference(resolution,[],[f270,f249]) ).
fof(f270,plain,
( ! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| sK18(X0,X1) = X3 )
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f442,plain,
( spl20_60
| ~ spl20_21
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f251,f217,f203,f440]) ).
fof(f251,plain,
( ! [X0] :
( r1(sK2(X0))
| sK1(X0) = sK8(sK0(X0)) )
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f218,f204]) ).
fof(f417,plain,
( spl20_59
| ~ spl20_29
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f285,f269,f243,f415]) ).
fof(f285,plain,
( ! [X0,X1] : sK15(X0,X1) = sK18(X0,sK8(X1))
| ~ spl20_29
| ~ spl20_34 ),
inference(resolution,[],[f270,f244]) ).
fof(f413,plain,
( spl20_58
| ~ spl20_27
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f281,f265,f234,f411]) ).
fof(f265,plain,
( spl20_33
<=> ! [X0,X1,X3] :
( sK17(X0,X1) = X3
| ~ r4(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f281,plain,
( ! [X0,X1] : sK11(X0,X1) = sK17(X0,sK8(X1))
| ~ spl20_27
| ~ spl20_33 ),
inference(resolution,[],[f266,f235]) ).
fof(f266,plain,
( ! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| sK17(X0,X1) = X3 )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f265]) ).
fof(f409,plain,
( spl20_57
| ~ spl20_21
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f214,f207,f203,f407]) ).
fof(f214,plain,
( ! [X0,X1] : sK15(X0,X1) = sK8(sK14(X0,X1))
| ~ spl20_21
| ~ spl20_22 ),
inference(resolution,[],[f208,f204]) ).
fof(f405,plain,
( spl20_56
| ~ spl20_9
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f210,f199,f143,f403]) ).
fof(f403,plain,
( spl20_56
<=> ! [X0] :
( sK1(X0) = X0
| sK2(X0) = sK19 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f199,plain,
( spl20_20
<=> ! [X0] :
( sK1(X0) = X0
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f210,plain,
( ! [X0] :
( sK1(X0) = X0
| sK2(X0) = sK19 )
| ~ spl20_9
| ~ spl20_20 ),
inference(resolution,[],[f200,f144]) ).
fof(f200,plain,
( ! [X0] :
( r1(sK2(X0))
| sK1(X0) = X0 )
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f397,plain,
( spl20_55
| ~ spl20_22
| ~ spl20_45 ),
inference(avatar_split_clause,[],[f345,f342,f207,f395]) ).
fof(f345,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r1(X0)
| ~ r2(X0,sK14(X1,X2))
| ~ r1(X1)
| ~ r2(X3,X4)
| ~ r1(X3)
| ~ r2(X4,sK8(X2)) )
| ~ spl20_22
| ~ spl20_45 ),
inference(resolution,[],[f343,f208]) ).
fof(f389,plain,
( spl20_54
| ~ spl20_6
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f288,f273,f131,f387]) ).
fof(f288,plain,
( ! [X0,X1] :
( X0 = X1
| ~ r2(X0,sK8(X1)) )
| ~ spl20_6
| ~ spl20_35 ),
inference(resolution,[],[f274,f132]) ).
fof(f385,plain,
( spl20_53
| ~ spl20_15
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f283,f269,f175,f383]) ).
fof(f175,plain,
( spl20_15
<=> ! [X0,X1] : r3(X0,X1,sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f283,plain,
( ! [X0,X1] : sK14(X0,X1) = sK18(X0,X1)
| ~ spl20_15
| ~ spl20_34 ),
inference(resolution,[],[f270,f176]) ).
fof(f176,plain,
( ! [X0,X1] : r3(X0,X1,sK14(X0,X1))
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f381,plain,
( spl20_52
| ~ spl20_14
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f279,f265,f171,f379]) ).
fof(f171,plain,
( spl20_14
<=> ! [X0,X1] : r4(X0,X1,sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f279,plain,
( ! [X0,X1] : sK10(X0,X1) = sK17(X0,X1)
| ~ spl20_14
| ~ spl20_33 ),
inference(resolution,[],[f266,f172]) ).
fof(f172,plain,
( ! [X0,X1] : r4(X0,X1,sK10(X0,X1))
| ~ spl20_14 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f377,plain,
( spl20_51
| ~ spl20_10
| ~ spl20_32 ),
inference(avatar_split_clause,[],[f277,f261,f147,f375]) ).
fof(f147,plain,
( spl20_10
<=> ! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f277,plain,
( ! [X0] :
( sK2(X0) = X0
| ~ r1(sK1(X0)) )
| ~ spl20_10
| ~ spl20_32 ),
inference(resolution,[],[f262,f148]) ).
fof(f148,plain,
( ! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f365,plain,
( spl20_50
| ~ spl20_20
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f254,f221,f199,f363]) ).
fof(f221,plain,
( spl20_24
<=> ! [X0] :
( sK1(X0) = X0
| sK2(X0) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f254,plain,
( ! [X0] :
( r1(X0)
| sK1(X0) = X0 )
| ~ spl20_20
| ~ spl20_24 ),
inference(duplicate_literal_removal,[],[f253]) ).
fof(f253,plain,
( ! [X0] :
( r1(X0)
| sK1(X0) = X0
| sK1(X0) = X0 )
| ~ spl20_20
| ~ spl20_24 ),
inference(superposition,[],[f200,f222]) ).
fof(f222,plain,
( ! [X0] :
( sK2(X0) = X0
| sK1(X0) = X0 )
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f221]) ).
fof(f361,plain,
( spl20_49
| ~ spl20_10
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f252,f217,f147,f359]) ).
fof(f252,plain,
( ! [X0] :
( r1(sK2(X0))
| ~ r1(sK1(X0)) )
| ~ spl20_10
| ~ spl20_23 ),
inference(resolution,[],[f218,f148]) ).
fof(f357,plain,
( spl20_48
| ~ spl20_8
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f213,f203,f139,f355]) ).
fof(f355,plain,
( spl20_48
<=> ! [X0,X1] : sK8(X0) = sK16(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f139,plain,
( spl20_8
<=> ! [X0,X1] : r2(X1,sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f213,plain,
( ! [X0,X1] : sK8(X0) = sK16(X1,X0)
| ~ spl20_8
| ~ spl20_21 ),
inference(resolution,[],[f204,f140]) ).
fof(f140,plain,
( ! [X0,X1] : r2(X1,sK16(X0,X1))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f353,plain,
( spl20_47
| ~ spl20_7
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f212,f203,f135,f351]) ).
fof(f351,plain,
( spl20_47
<=> ! [X0,X1] : sK8(X0) = sK12(X1,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f135,plain,
( spl20_7
<=> ! [X0,X1] : r2(X1,sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f212,plain,
( ! [X0,X1] : sK8(X0) = sK12(X1,X0)
| ~ spl20_7
| ~ spl20_21 ),
inference(resolution,[],[f204,f136]) ).
fof(f136,plain,
( ! [X0,X1] : r2(X1,sK12(X0,X1))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f349,plain,
( spl20_46
| ~ spl20_12
| ~ spl20_30 ),
inference(avatar_split_clause,[],[f255,f248,f162,f347]) ).
fof(f255,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,sK11(X2,X3))
| ~ r2(X0,X1)
| ~ r1(sK10(X2,X3))
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X2) )
| ~ spl20_12
| ~ spl20_30 ),
inference(resolution,[],[f249,f163]) ).
fof(f344,plain,
( spl20_45
| ~ spl20_12
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f246,f243,f162,f342]) ).
fof(f246,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,sK15(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,sK8(X3)) )
| ~ spl20_12
| ~ spl20_29 ),
inference(resolution,[],[f244,f163]) ).
fof(f338,plain,
( spl20_44
| ~ spl20_11
| ~ spl20_36 ),
inference(avatar_split_clause,[],[f316,f297,f151,f336]) ).
fof(f336,plain,
( spl20_44
<=> ! [X0] : r3(X0,sK19,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f151,plain,
( spl20_11
<=> ! [X0] : r3(X0,sK7(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f297,plain,
( spl20_36
<=> ! [X0] : sK7(X0) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f316,plain,
( ! [X0] : r3(X0,sK19,X0)
| ~ spl20_11
| ~ spl20_36 ),
inference(superposition,[],[f152,f298]) ).
fof(f298,plain,
( ! [X0] : sK7(X0) = sK19
| ~ spl20_36 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f152,plain,
( ! [X0] : r3(X0,sK7(X0),X0)
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f334,plain,
( spl20_43
| ~ spl20_4
| ~ spl20_9
| ~ spl20_11
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f287,f269,f151,f143,f123,f332]) ).
fof(f287,plain,
( ! [X0] : sK18(X0,sK19) = X0
| ~ spl20_4
| ~ spl20_9
| ~ spl20_11
| ~ spl20_34 ),
inference(forward_demodulation,[],[f282,f156]) ).
fof(f156,plain,
( ! [X0] : sK7(X0) = sK19
| ~ spl20_4
| ~ spl20_9 ),
inference(resolution,[],[f144,f124]) ).
fof(f282,plain,
( ! [X0] : sK18(X0,sK7(X0)) = X0
| ~ spl20_11
| ~ spl20_34 ),
inference(resolution,[],[f270,f152]) ).
fof(f330,plain,
( spl20_42
| ~ spl20_17
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f278,f265,f185,f328]) ).
fof(f185,plain,
( spl20_17
<=> ! [X0] : r4(X0,sK19,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f278,plain,
( ! [X0] : sK19 = sK17(X0,sK19)
| ~ spl20_17
| ~ spl20_33 ),
inference(resolution,[],[f266,f186]) ).
fof(f186,plain,
( ! [X0] : r4(X0,sK19,sK19)
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f185]) ).
fof(f325,plain,
( spl20_41
| ~ spl20_12
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f197,f193,f162,f323]) ).
fof(f323,plain,
( spl20_41
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,sK18(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f193,plain,
( spl20_19
<=> ! [X0,X1] : r3(X0,X1,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f197,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,sK18(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X3) )
| ~ spl20_12
| ~ spl20_19 ),
inference(resolution,[],[f194,f163]) ).
fof(f194,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f193]) ).
fof(f321,plain,
( spl20_40
| ~ spl20_12
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f196,f175,f162,f319]) ).
fof(f319,plain,
( spl20_40
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,sK14(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
fof(f196,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,sK14(X2,X3))
| ~ r2(X0,X1)
| ~ r1(X2)
| ~ r2(X4,X5)
| ~ r1(X4)
| ~ r2(X5,X3) )
| ~ spl20_12
| ~ spl20_15 ),
inference(resolution,[],[f176,f163]) ).
fof(f313,plain,
( spl20_39
| ~ spl20_10
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f215,f207,f147,f311]) ).
fof(f215,plain,
( ! [X0,X1] : ~ r1(sK15(X0,X1))
| ~ spl20_10
| ~ spl20_22 ),
inference(resolution,[],[f208,f148]) ).
fof(f308,plain,
( spl20_38
| ~ spl20_8
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f160,f147,f139,f306]) ).
fof(f306,plain,
( spl20_38
<=> ! [X0,X1] : ~ r1(sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f160,plain,
( ! [X0,X1] : ~ r1(sK16(X0,X1))
| ~ spl20_8
| ~ spl20_10 ),
inference(resolution,[],[f148,f140]) ).
fof(f303,plain,
( spl20_37
| ~ spl20_7
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f159,f147,f135,f301]) ).
fof(f301,plain,
( spl20_37
<=> ! [X0,X1] : ~ r1(sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f159,plain,
( ! [X0,X1] : ~ r1(sK12(X0,X1))
| ~ spl20_7
| ~ spl20_10 ),
inference(resolution,[],[f148,f136]) ).
fof(f299,plain,
( spl20_36
| ~ spl20_4
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f156,f143,f123,f297]) ).
fof(f275,plain,
spl20_35,
inference(avatar_split_clause,[],[f101,f273]) ).
fof(f101,plain,
! [X3,X0,X1] :
( X0 = X1
| ~ r2(X1,X3)
| ~ r2(X0,X3) ),
inference(equality_resolution,[],[f71]) ).
fof(f71,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ r2(X1,X2)
| X2 != X3
| ~ r2(X0,X3) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( X0 = X1
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( X2 != X3
| ~ r2(X0,X3) ) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X25,X26] :
( X25 = X26
| ! [X27] :
( ~ r2(X26,X27)
| ! [X28] :
( X27 != X28
| ~ r2(X25,X28) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3a) ).
fof(f271,plain,
spl20_34,
inference(avatar_split_clause,[],[f88,f269]) ).
fof(f88,plain,
! [X3,X0,X1] :
( sK18(X0,X1) = X3
| ~ r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1,X3] :
( ( sK18(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK18(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f24,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) )
=> ! [X3] :
( ( sK18(X0,X1) = X3
& r3(X0,X1,X3) )
| ( sK18(X0,X1) != X3
& ~ r3(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r3(X0,X1,X3) )
| ( X2 != X3
& ~ r3(X0,X1,X3) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( X7 = X8
& r3(X5,X6,X8) )
| ( X7 != X8
& ~ r3(X5,X6,X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f267,plain,
spl20_33,
inference(avatar_split_clause,[],[f84,f265]) ).
fof(f84,plain,
! [X3,X0,X1] :
( sK17(X0,X1) = X3
| ~ r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1,X3] :
( ( sK17(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f23,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) )
=> ! [X3] :
( ( sK17(X0,X1) = X3
& r4(X0,X1,X3) )
| ( sK17(X0,X1) != X3
& ~ r4(X0,X1,X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( X2 = X3
& r4(X0,X1,X3) )
| ( X2 != X3
& ~ r4(X0,X1,X3) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( X11 = X12
& r4(X9,X10,X12) )
| ( X11 != X12
& ~ r4(X9,X10,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f263,plain,
spl20_32,
inference(avatar_split_clause,[],[f56,f261]) ).
fof(f56,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| sK2(X0) = X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0] :
( ( sK1(X0) = X0
& r2(sK0(X0),sK1(X0)) )
| ( sK2(X0) = X0
& r1(sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f15,f27,f26]) ).
fof(f26,plain,
! [X0] :
( ? [X1,X2] :
( X0 = X2
& r2(X1,X2) )
=> ( sK1(X0) = X0
& r2(sK0(X0),sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
! [X0] :
( ? [X3] :
( X0 = X3
& r1(X3) )
=> ( sK2(X0) = X0
& r1(sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f15,plain,
! [X0] :
( ? [X1,X2] :
( X0 = X2
& r2(X1,X2) )
| ? [X3] :
( X0 = X3
& r1(X3) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X36] :
( ? [X38,X39] :
( X36 = X39
& r2(X38,X39) )
| ? [X37] :
( X36 = X37
& r1(X37) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6a) ).
fof(f259,plain,
( spl20_31
| ~ spl20_2
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f155,f143,f115,f257]) ).
fof(f257,plain,
( spl20_31
<=> ! [X0] : sK5(X0) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f155,plain,
( ! [X0] : sK5(X0) = sK19
| ~ spl20_2
| ~ spl20_9 ),
inference(resolution,[],[f144,f116]) ).
fof(f250,plain,
spl20_30,
inference(avatar_split_clause,[],[f95,f248]) ).
fof(f95,plain,
! [X0,X1] : r3(sK10(X0,X1),X0,sK11(X0,X1)),
inference(definition_unfolding,[],[f75,f74]) ).
fof(f74,plain,
! [X0,X1] : sK9(X0,X1) = sK11(X0,X1),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0,X1] :
( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1))
& sK9(X0,X1) = sK11(X0,X1)
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f21,f41,f40,f39,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
& ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f39,plain,
! [X0,X1] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
=> ( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0,X1] :
( ? [X4] :
( sK9(X0,X1) = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK9(X0,X1) = sK11(X0,X1)
& ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
=> ( r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X19,X20] :
? [X21] :
( ? [X24] :
( r4(X19,X20,X24)
& r3(X24,X19,X21) )
& ? [X22] :
( X21 = X22
& ? [X23] :
( r4(X19,X23,X22)
& r2(X20,X23) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a) ).
fof(f75,plain,
! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f245,plain,
( spl20_29
| ~ spl20_8
| ~ spl20_21
| ~ spl20_28 ),
inference(avatar_split_clause,[],[f241,f238,f203,f139,f243]) ).
fof(f238,plain,
( spl20_28
<=> ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f241,plain,
( ! [X0,X1] : r3(X0,sK8(X1),sK15(X0,X1))
| ~ spl20_8
| ~ spl20_21
| ~ spl20_28 ),
inference(forward_demodulation,[],[f239,f213]) ).
fof(f239,plain,
( ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1))
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f240,plain,
spl20_28,
inference(avatar_split_clause,[],[f78,f238]) ).
fof(f78,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& sK13(X0,X1) = sK15(X0,X1)
& r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f22,f46,f45,f44,f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
=> ( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
! [X0,X1] :
( ? [X4] :
( sK13(X0,X1) = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) )
=> ( sK13(X0,X1) = sK15(X0,X1)
& ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) ) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
! [X0,X1] :
( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
=> ( r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( X2 = X4
& ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) ) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13,X14] :
? [X15] :
( ? [X18] :
( r3(X13,X14,X18)
& r2(X18,X15) )
& ? [X16] :
( X15 = X16
& ? [X17] :
( r3(X13,X17,X16)
& r2(X14,X17) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a) ).
fof(f236,plain,
( spl20_27
| ~ spl20_7
| ~ spl20_21
| ~ spl20_26 ),
inference(avatar_split_clause,[],[f232,f229,f203,f135,f234]) ).
fof(f229,plain,
( spl20_26
<=> ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f232,plain,
( ! [X0,X1] : r4(X0,sK8(X1),sK11(X0,X1))
| ~ spl20_7
| ~ spl20_21
| ~ spl20_26 ),
inference(forward_demodulation,[],[f230,f212]) ).
fof(f230,plain,
( ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1))
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f231,plain,
spl20_26,
inference(avatar_split_clause,[],[f73,f229]) ).
fof(f73,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f227,plain,
( spl20_25
| ~ spl20_3
| ~ spl20_9 ),
inference(avatar_split_clause,[],[f154,f143,f119,f225]) ).
fof(f225,plain,
( spl20_25
<=> ! [X0] : sK4(X0) = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f154,plain,
( ! [X0] : sK4(X0) = sK19
| ~ spl20_3
| ~ spl20_9 ),
inference(resolution,[],[f144,f120]) ).
fof(f223,plain,
spl20_24,
inference(avatar_split_clause,[],[f58,f221]) ).
fof(f58,plain,
! [X0] :
( sK1(X0) = X0
| sK2(X0) = X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f219,plain,
spl20_23,
inference(avatar_split_clause,[],[f55,f217]) ).
fof(f55,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f209,plain,
spl20_22,
inference(avatar_split_clause,[],[f96,f207]) ).
fof(f96,plain,
! [X0,X1] : r2(sK14(X0,X1),sK15(X0,X1)),
inference(definition_unfolding,[],[f80,f79]) ).
fof(f79,plain,
! [X0,X1] : sK13(X0,X1) = sK15(X0,X1),
inference(cnf_transformation,[],[f47]) ).
fof(f80,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f205,plain,
spl20_21,
inference(avatar_split_clause,[],[f68,f203]) ).
fof(f68,plain,
! [X2,X0] :
( sK8(X0) = X2
| ~ r2(X0,X2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f36]) ).
fof(f36,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) )
=> ! [X2] :
( ( sK8(X0) = X2
& r2(X0,X2) )
| ( sK8(X0) != X2
& ~ r2(X0,X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
! [X0] :
? [X1] :
! [X2] :
( ( X1 = X2
& r2(X0,X2) )
| ( X1 != X2
& ~ r2(X0,X2) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( X3 = X4
& r2(X2,X4) )
| ( X3 != X4
& ~ r2(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f201,plain,
spl20_20,
inference(avatar_split_clause,[],[f57,f199]) ).
fof(f57,plain,
! [X0] :
( sK1(X0) = X0
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f195,plain,
spl20_19,
inference(avatar_split_clause,[],[f105,f193]) ).
fof(f105,plain,
! [X0,X1] : r3(X0,X1,sK18(X0,X1)),
inference(equality_resolution,[],[f87]) ).
fof(f87,plain,
! [X3,X0,X1] :
( r3(X0,X1,X3)
| sK18(X0,X1) != X3 ),
inference(cnf_transformation,[],[f51]) ).
fof(f191,plain,
spl20_18,
inference(avatar_split_clause,[],[f103,f189]) ).
fof(f189,plain,
( spl20_18
<=> ! [X0,X1] : r4(X0,X1,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f103,plain,
! [X0,X1] : r4(X0,X1,sK17(X0,X1)),
inference(equality_resolution,[],[f83]) ).
fof(f83,plain,
! [X3,X0,X1] :
( r4(X0,X1,X3)
| sK17(X0,X1) != X3 ),
inference(cnf_transformation,[],[f49]) ).
fof(f187,plain,
( spl20_17
| ~ spl20_2
| ~ spl20_3
| ~ spl20_9
| ~ spl20_16 ),
inference(avatar_split_clause,[],[f183,f179,f143,f119,f115,f185]) ).
fof(f179,plain,
( spl20_16
<=> ! [X0] : r4(X0,sK5(X0),sK4(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f183,plain,
( ! [X0] : r4(X0,sK19,sK19)
| ~ spl20_2
| ~ spl20_3
| ~ spl20_9
| ~ spl20_16 ),
inference(forward_demodulation,[],[f182,f155]) ).
fof(f182,plain,
( ! [X0] : r4(X0,sK5(X0),sK19)
| ~ spl20_3
| ~ spl20_9
| ~ spl20_16 ),
inference(forward_demodulation,[],[f180,f154]) ).
fof(f180,plain,
( ! [X0] : r4(X0,sK5(X0),sK4(X0))
| ~ spl20_16 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f181,plain,
spl20_16,
inference(avatar_split_clause,[],[f94,f179]) ).
fof(f94,plain,
! [X0] : r4(X0,sK5(X0),sK4(X0)),
inference(definition_unfolding,[],[f60,f62]) ).
fof(f62,plain,
! [X0] : sK3(X0) = sK4(X0),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0] :
( sK3(X0) = sK4(X0)
& r1(sK4(X0))
& r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4,sK5])],[f16,f31,f30,f29]) ).
fof(f29,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f30,plain,
! [X0] :
( ? [X2] :
( sK3(X0) = X2
& r1(X2) )
=> ( sK3(X0) = sK4(X0)
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f31,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK3(X0))
& r1(X3) )
=> ( r4(X0,sK5(X0),sK3(X0))
& r1(sK5(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f16,plain,
! [X0] :
? [X1] :
( ? [X2] :
( X1 = X2
& r1(X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X32] :
? [X33] :
( ? [X35] :
( X33 = X35
& r1(X35) )
& ? [X34] :
( r4(X32,X34,X33)
& r1(X34) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a) ).
fof(f60,plain,
! [X0] : r4(X0,sK5(X0),sK3(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f177,plain,
spl20_15,
inference(avatar_split_clause,[],[f81,f175]) ).
fof(f81,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f173,plain,
spl20_14,
inference(avatar_split_clause,[],[f76,f171]) ).
fof(f76,plain,
! [X0,X1] : r4(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f168,plain,
( spl20_13
| ~ spl20_6
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f158,f147,f131,f166]) ).
fof(f158,plain,
( ! [X0] : ~ r1(sK8(X0))
| ~ spl20_6
| ~ spl20_10 ),
inference(resolution,[],[f148,f132]) ).
fof(f164,plain,
spl20_12,
inference(avatar_split_clause,[],[f97,f162]) ).
fof(f97,plain,
! [X2,X3,X1,X6,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| ~ r3(X5,X4,X1)
| ~ r1(X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X4) ),
inference(equality_resolution,[],[f54]) ).
fof(f54,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X3,X2)
| ~ r1(X3)
| ~ r2(X2,X1)
| X0 != X1
| ~ r3(X5,X4,X0)
| ~ r1(X5)
| ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X4) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ r2(X3,X2)
| ~ r1(X3) )
| ~ r2(X2,X1) )
| X0 != X1 )
| ! [X4] :
( ! [X5] :
( ~ r3(X5,X4,X0)
| ~ r1(X5) )
| ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X4) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
~ ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( r2(X3,X2)
& r1(X3) )
& r2(X2,X1) )
& X0 = X1 )
& ? [X4] :
( ? [X5] :
( r3(X5,X4,X0)
& r1(X5) )
& ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X4) ) ) ),
inference(rectify,[],[f13]) ).
fof(f13,negated_conjecture,
~ ? [X38] :
( ? [X22] :
( ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) )
& X22 = X38 )
& ? [X21] :
( ? [X18] :
( r3(X18,X21,X38)
& r1(X18) )
& ? [X15] :
( ? [X24] :
( r2(X24,X15)
& r1(X24) )
& r2(X15,X21) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
? [X38] :
( ? [X22] :
( ? [X16] :
( ? [X33] :
( r2(X33,X16)
& r1(X33) )
& r2(X16,X22) )
& X22 = X38 )
& ? [X21] :
( ? [X18] :
( r3(X18,X21,X38)
& r1(X18) )
& ? [X15] :
( ? [X24] :
( r2(X24,X15)
& r1(X24) )
& r2(X15,X21) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zeroplustwoeqtwo) ).
fof(f153,plain,
spl20_11,
inference(avatar_split_clause,[],[f108,f151]) ).
fof(f108,plain,
! [X0] : r3(X0,sK7(X0),X0),
inference(forward_demodulation,[],[f64,f65]) ).
fof(f65,plain,
! [X0] : sK6(X0) = X0,
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0] :
( sK6(X0) = X0
& r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f17,f34,f33]) ).
fof(f33,plain,
! [X0] :
( ? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) )
=> ( sK6(X0) = X0
& ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK6(X0))
& r1(X2) )
=> ( r3(X0,sK7(X0),sK6(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
? [X1] :
( X0 = X1
& ? [X2] :
( r3(X0,X2,X1)
& r1(X2) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X29] :
? [X30] :
( X29 = X30
& ? [X31] :
( r3(X29,X31,X30)
& r1(X31) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4a) ).
fof(f64,plain,
! [X0] : r3(X0,sK7(X0),sK6(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f149,plain,
spl20_10,
inference(avatar_split_clause,[],[f100,f147]) ).
fof(f100,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| ~ r1(X2) ),
inference(equality_resolution,[],[f70]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| X1 != X2
| ~ r1(X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( X1 != X2
| ~ r1(X2) ) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X40,X41] :
( ~ r2(X40,X41)
| ! [X42] :
( X41 != X42
| ~ r1(X42) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7a) ).
fof(f145,plain,
spl20_9,
inference(avatar_split_clause,[],[f92,f143]) ).
fof(f92,plain,
! [X1] :
( sK19 = X1
| ~ r1(X1) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f52]) ).
fof(f52,plain,
( ? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) )
=> ! [X1] :
( ( sK19 = X1
& r1(X1) )
| ( sK19 != X1
& ~ r1(X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( X0 = X1
& r1(X1) )
| ( X0 != X1
& ~ r1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f141,plain,
spl20_8,
inference(avatar_split_clause,[],[f77,f139]) ).
fof(f77,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f47]) ).
fof(f137,plain,
spl20_7,
inference(avatar_split_clause,[],[f72,f135]) ).
fof(f72,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f42]) ).
fof(f133,plain,
spl20_6,
inference(avatar_split_clause,[],[f99,f131]) ).
fof(f99,plain,
! [X0] : r2(X0,sK8(X0)),
inference(equality_resolution,[],[f67]) ).
fof(f67,plain,
! [X2,X0] :
( r2(X0,X2)
| sK8(X0) != X2 ),
inference(cnf_transformation,[],[f37]) ).
fof(f129,plain,
spl20_5,
inference(avatar_split_clause,[],[f65,f127]) ).
fof(f127,plain,
( spl20_5
<=> ! [X0] : sK6(X0) = X0 ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f125,plain,
spl20_4,
inference(avatar_split_clause,[],[f63,f123]) ).
fof(f63,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f35]) ).
fof(f121,plain,
spl20_3,
inference(avatar_split_clause,[],[f61,f119]) ).
fof(f61,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f117,plain,
spl20_2,
inference(avatar_split_clause,[],[f59,f115]) ).
fof(f59,plain,
! [X0] : r1(sK5(X0)),
inference(cnf_transformation,[],[f32]) ).
fof(f113,plain,
spl20_1,
inference(avatar_split_clause,[],[f107,f110]) ).
fof(f107,plain,
r1(sK19),
inference(equality_resolution,[],[f91]) ).
fof(f91,plain,
! [X1] :
( r1(X1)
| sK19 != X1 ),
inference(cnf_transformation,[],[f53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUN055+2 : TPTP v8.1.2. Released v7.3.0.
% 0.09/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 02:40:28 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (11085)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34 % (11088)WARNING: value z3 for option sas not known
% 0.11/0.34 % (11091)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.11/0.34 % (11087)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (11086)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (11090)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.11/0.34 % (11089)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (11088)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34 % (11092)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 TRYING [3]
% 0.11/0.35 TRYING [1]
% 0.11/0.35 TRYING [4]
% 0.11/0.35 TRYING [2]
% 0.11/0.36 TRYING [3]
% 0.11/0.36 TRYING [5]
% 0.11/0.37 % (11090)First to succeed.
% 0.11/0.38 TRYING [6]
% 0.11/0.38 % (11090)Refutation found. Thanks to Tanya!
% 0.11/0.38 % SZS status Theorem for theBenchmark
% 0.11/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.39 % (11090)------------------------------
% 0.11/0.39 % (11090)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.39 % (11090)Termination reason: Refutation
% 0.11/0.39
% 0.11/0.39 % (11090)Memory used [KB]: 1568
% 0.11/0.39 % (11090)Time elapsed: 0.041 s
% 0.11/0.39 % (11090)Instructions burned: 72 (million)
% 0.11/0.39 % (11090)------------------------------
% 0.11/0.39 % (11090)------------------------------
% 0.11/0.39 % (11085)Success in time 0.054 s
%------------------------------------------------------------------------------