TSTP Solution File: NUN060+1 by Vampire-SAT---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.9
% Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d SAT
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 13:33:26 EDT 2024
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 150
% Syntax : Number of formulae : 463 ( 64 unt; 0 def)
% Number of atoms : 1544 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 1897 ( 816 ~; 781 |; 169 &)
% ( 112 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 118 ( 117 usr; 113 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 1 con; 0-2 aty)
% Number of variables : 925 ( 820 !; 105 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1092,plain,
$false,
inference(avatar_sat_refutation,[],[f130,f134,f138,f142,f146,f150,f154,f158,f162,f166,f173,f177,f182,f186,f190,f194,f198,f208,f212,f216,f220,f224,f228,f232,f236,f246,f269,f273,f277,f281,f285,f289,f302,f306,f310,f314,f318,f322,f326,f354,f358,f362,f366,f385,f389,f393,f397,f423,f427,f431,f443,f447,f451,f455,f459,f463,f486,f497,f501,f510,f514,f518,f522,f526,f530,f534,f538,f542,f546,f550,f604,f608,f612,f616,f620,f624,f628,f632,f636,f640,f701,f705,f709,f713,f747,f766,f770,f774,f778,f782,f786,f790,f794,f798,f871,f875,f879,f883,f887,f891,f895,f899,f970,f974,f989,f993,f997,f1001,f1031,f1035,f1039,f1079,f1086,f1087,f1088,f1089,f1090,f1091]) ).
fof(f1091,plain,
( ~ spl20_26
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1080]) ).
fof(f1080,plain,
( $false
| ~ spl20_26
| ~ spl20_108 ),
inference(resolution,[],[f1000,f245]) ).
fof(f245,plain,
( r1(sK3(sK19))
| ~ spl20_26 ),
inference(avatar_component_clause,[],[f243]) ).
fof(f243,plain,
( spl20_26
<=> r1(sK3(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_26])]) ).
fof(f1000,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_108 ),
inference(avatar_component_clause,[],[f999]) ).
fof(f999,plain,
( spl20_108
<=> ! [X0] : ~ r1(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_108])]) ).
fof(f1090,plain,
( ~ spl20_2
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1081]) ).
fof(f1081,plain,
( $false
| ~ spl20_2
| ~ spl20_108 ),
inference(resolution,[],[f1000,f133]) ).
fof(f133,plain,
( ! [X0] : r1(sK4(X0))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f132]) ).
fof(f132,plain,
( spl20_2
<=> ! [X0] : r1(sK4(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f1089,plain,
( ~ spl20_65
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1082]) ).
fof(f1082,plain,
( $false
| ~ spl20_65
| ~ spl20_108 ),
inference(resolution,[],[f1000,f529]) ).
fof(f529,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_65 ),
inference(avatar_component_clause,[],[f528]) ).
fof(f528,plain,
( spl20_65
<=> ! [X0] : r1(sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_65])]) ).
fof(f1088,plain,
( ~ spl20_4
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1083]) ).
fof(f1083,plain,
( $false
| ~ spl20_4
| ~ spl20_108 ),
inference(resolution,[],[f1000,f141]) ).
fof(f141,plain,
( ! [X0] : r1(sK6(X0))
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl20_4
<=> ! [X0] : r1(sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f1087,plain,
( ~ spl20_3
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1084]) ).
fof(f1084,plain,
( $false
| ~ spl20_3
| ~ spl20_108 ),
inference(resolution,[],[f1000,f137]) ).
fof(f137,plain,
( ! [X0] : r1(sK7(X0))
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl20_3
<=> ! [X0] : r1(sK7(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f1086,plain,
( ~ spl20_13
| ~ spl20_108 ),
inference(avatar_contradiction_clause,[],[f1085]) ).
fof(f1085,plain,
( $false
| ~ spl20_13
| ~ spl20_108 ),
inference(resolution,[],[f1000,f181]) ).
fof(f181,plain,
( r1(sK19)
| ~ spl20_13 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f179,plain,
( spl20_13
<=> r1(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_13])]) ).
fof(f1079,plain,
( spl20_112
| ~ spl20_33
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f370,f352,f300,f1077]) ).
fof(f1077,plain,
( spl20_112
<=> ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| id(X1,sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_112])]) ).
fof(f300,plain,
( spl20_33
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_33])]) ).
fof(f352,plain,
( spl20_40
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_40])]) ).
fof(f370,plain,
( ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| id(X1,sK2(X1)) )
| ~ spl20_33
| ~ spl20_40 ),
inference(resolution,[],[f353,f301]) ).
fof(f301,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) )
| ~ spl20_33 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f353,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X1,X2)
| id(X0,X1)
| ~ r2(X0,X3)
| ~ id(X3,X2) )
| ~ spl20_40 ),
inference(avatar_component_clause,[],[f352]) ).
fof(f1039,plain,
( spl20_111
| ~ spl20_28
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f381,f364,f271,f1037]) ).
fof(f1037,plain,
( spl20_111
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_111])]) ).
fof(f271,plain,
( spl20_28
<=> ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_28])]) ).
fof(f364,plain,
( spl20_43
<=> ! [X0,X3,X2,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_43])]) ).
fof(f381,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(sK1(X2),X1)
| ~ id(sK0(X2),X0)
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_43 ),
inference(resolution,[],[f365,f272]) ).
fof(f272,plain,
( ! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_28 ),
inference(avatar_component_clause,[],[f271]) ).
fof(f365,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_43 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f1035,plain,
( spl20_110
| ~ spl20_28
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f376,f360,f271,f1033]) ).
fof(f1033,plain,
( spl20_110
<=> ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_110])]) ).
fof(f360,plain,
( spl20_42
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_42])]) ).
fof(f376,plain,
( ! [X2,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK1(X2))
| ~ id(X0,sK0(X2))
| r1(sK2(X2)) )
| ~ spl20_28
| ~ spl20_42 ),
inference(resolution,[],[f361,f272]) ).
fof(f361,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X2,X3)
| r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) )
| ~ spl20_42 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f1031,plain,
( spl20_109
| ~ spl20_28
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f371,f352,f271,f1029]) ).
fof(f1029,plain,
( spl20_109
<=> ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_109])]) ).
fof(f371,plain,
( ! [X2,X0,X1] :
( id(X0,sK0(X1))
| ~ r2(X0,X2)
| ~ id(X2,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_40 ),
inference(resolution,[],[f353,f272]) ).
fof(f1001,plain,
( spl20_108
| ~ spl20_54
| ~ spl20_96 ),
inference(avatar_split_clause,[],[f936,f873,f453,f999]) ).
fof(f453,plain,
( spl20_54
<=> ! [X0] : r2(X0,sK3(sK8(X0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_54])]) ).
fof(f873,plain,
( spl20_96
<=> ! [X0,X1] :
( ~ r2(sK8(sK8(sK8(X0))),X1)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_96])]) ).
fof(f936,plain,
( ! [X0] : ~ r1(X0)
| ~ spl20_54
| ~ spl20_96 ),
inference(resolution,[],[f874,f454]) ).
fof(f454,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_54 ),
inference(avatar_component_clause,[],[f453]) ).
fof(f874,plain,
( ! [X0,X1] :
( ~ r2(sK8(sK8(sK8(X0))),X1)
| ~ r1(X0) )
| ~ spl20_96 ),
inference(avatar_component_clause,[],[f873]) ).
fof(f997,plain,
( spl20_107
| ~ spl20_25
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f379,f364,f234,f995]) ).
fof(f995,plain,
( spl20_107
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK13(X2,X3),X1)
| ~ id(sK14(X2,X3),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_107])]) ).
fof(f234,plain,
( spl20_25
<=> ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_25])]) ).
fof(f379,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK13(X2,X3),X1)
| ~ id(sK14(X2,X3),X0) )
| ~ spl20_25
| ~ spl20_43 ),
inference(resolution,[],[f365,f235]) ).
fof(f235,plain,
( ! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1))
| ~ spl20_25 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f993,plain,
( spl20_106
| ~ spl20_25
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f374,f360,f234,f991]) ).
fof(f991,plain,
( spl20_106
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK13(X2,X3))
| ~ id(X0,sK14(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_106])]) ).
fof(f374,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK13(X2,X3))
| ~ id(X0,sK14(X2,X3)) )
| ~ spl20_25
| ~ spl20_42 ),
inference(resolution,[],[f361,f235]) ).
fof(f989,plain,
( spl20_105
| ~ spl20_25
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f369,f352,f234,f987]) ).
fof(f987,plain,
( spl20_105
<=> ! [X0,X3,X2,X1] :
( id(X0,sK14(X1,X2))
| ~ r2(X0,X3)
| ~ id(X3,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_105])]) ).
fof(f369,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK14(X1,X2))
| ~ r2(X0,X3)
| ~ id(X3,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_40 ),
inference(resolution,[],[f353,f235]) ).
fof(f974,plain,
( spl20_104
| ~ spl20_37
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f349,f324,f316,f972]) ).
fof(f972,plain,
( spl20_104
<=> ! [X0,X3,X2,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_104])]) ).
fof(f316,plain,
( spl20_37
<=> ! [X0,X1,X3] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_37])]) ).
fof(f324,plain,
( spl20_39
<=> ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_39])]) ).
fof(f349,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK18(X1,X2))
| ~ id(X0,X3)
| ~ r3(X1,X2,X3) )
| ~ spl20_37
| ~ spl20_39 ),
inference(resolution,[],[f325,f317]) ).
fof(f317,plain,
( ! [X3,X0,X1] :
( id(X3,sK18(X0,X1))
| ~ r3(X0,X1,X3) )
| ~ spl20_37 ),
inference(avatar_component_clause,[],[f316]) ).
fof(f325,plain,
( ! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) )
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f324]) ).
fof(f970,plain,
( spl20_103
| ~ spl20_34
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f348,f324,f304,f968]) ).
fof(f968,plain,
( spl20_103
<=> ! [X0,X3,X2,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_103])]) ).
fof(f304,plain,
( spl20_34
<=> ! [X0,X1,X3] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_34])]) ).
fof(f348,plain,
( ! [X2,X3,X0,X1] :
( id(X0,sK17(X1,X2))
| ~ id(X0,X3)
| ~ r4(X1,X2,X3) )
| ~ spl20_34
| ~ spl20_39 ),
inference(resolution,[],[f325,f305]) ).
fof(f305,plain,
( ! [X3,X0,X1] :
( id(X3,sK17(X0,X1))
| ~ r4(X0,X1,X3) )
| ~ spl20_34 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f899,plain,
( spl20_102
| ~ spl20_8
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f378,f364,f156,f897]) ).
fof(f897,plain,
( spl20_102
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_102])]) ).
fof(f156,plain,
( spl20_8
<=> ! [X0,X1] : r2(X1,sK16(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_8])]) ).
fof(f378,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK16(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_8
| ~ spl20_43 ),
inference(resolution,[],[f365,f157]) ).
fof(f157,plain,
( ! [X0,X1] : r2(X1,sK16(X0,X1))
| ~ spl20_8 ),
inference(avatar_component_clause,[],[f156]) ).
fof(f895,plain,
( spl20_101
| ~ spl20_7
| ~ spl20_43 ),
inference(avatar_split_clause,[],[f377,f364,f152,f893]) ).
fof(f893,plain,
( spl20_101
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_101])]) ).
fof(f152,plain,
( spl20_7
<=> ! [X0,X1] : r2(X1,sK12(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_7])]) ).
fof(f377,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(sK12(X2,X3),X1)
| ~ id(X3,X0) )
| ~ spl20_7
| ~ spl20_43 ),
inference(resolution,[],[f365,f153]) ).
fof(f153,plain,
( ! [X0,X1] : r2(X1,sK12(X0,X1))
| ~ spl20_7 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f891,plain,
( spl20_100
| ~ spl20_8
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f373,f360,f156,f889]) ).
fof(f889,plain,
( spl20_100
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_100])]) ).
fof(f373,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK16(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_8
| ~ spl20_42 ),
inference(resolution,[],[f361,f157]) ).
fof(f887,plain,
( spl20_99
| ~ spl20_7
| ~ spl20_42 ),
inference(avatar_split_clause,[],[f372,f360,f152,f885]) ).
fof(f885,plain,
( spl20_99
<=> ! [X0,X3,X2,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_99])]) ).
fof(f372,plain,
( ! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ id(X1,sK12(X2,X3))
| ~ id(X0,X3) )
| ~ spl20_7
| ~ spl20_42 ),
inference(resolution,[],[f361,f153]) ).
fof(f883,plain,
( spl20_98
| ~ spl20_8
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f368,f352,f156,f881]) ).
fof(f881,plain,
( spl20_98
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_98])]) ).
fof(f368,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK16(X3,X1)) )
| ~ spl20_8
| ~ spl20_40 ),
inference(resolution,[],[f353,f157]) ).
fof(f879,plain,
( spl20_97
| ~ spl20_7
| ~ spl20_40 ),
inference(avatar_split_clause,[],[f367,f352,f152,f877]) ).
fof(f877,plain,
( spl20_97
<=> ! [X0,X3,X2,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_97])]) ).
fof(f367,plain,
( ! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X0,X2)
| ~ id(X2,sK12(X3,X1)) )
| ~ spl20_7
| ~ spl20_40 ),
inference(resolution,[],[f353,f153]) ).
fof(f875,plain,
( spl20_96
| ~ spl20_41
| ~ spl20_85 ),
inference(avatar_split_clause,[],[f800,f745,f356,f873]) ).
fof(f356,plain,
( spl20_41
<=> ! [X0] : r2(X0,sK8(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_41])]) ).
fof(f745,plain,
( spl20_85
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r2(sK8(sK8(X2)),X0)
| ~ r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_85])]) ).
fof(f800,plain,
( ! [X0,X1] :
( ~ r2(sK8(sK8(sK8(X0))),X1)
| ~ r1(X0) )
| ~ spl20_41
| ~ spl20_85 ),
inference(resolution,[],[f746,f357]) ).
fof(f357,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_41 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f746,plain,
( ! [X2,X0,X1] :
( ~ r2(sK8(sK8(X2)),X0)
| ~ r2(X0,X1)
| ~ r1(X2) )
| ~ spl20_85 ),
inference(avatar_component_clause,[],[f745]) ).
fof(f871,plain,
( spl20_95
| ~ spl20_27
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f343,f324,f267,f869]) ).
fof(f869,plain,
( spl20_95
<=> ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_95])]) ).
fof(f267,plain,
( spl20_27
<=> ! [X0] :
( id(X0,sK1(X0))
| id(X0,sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_27])]) ).
fof(f343,plain,
( ! [X0,X1] :
( id(X0,sK2(X1))
| ~ id(X0,X1)
| id(X1,sK1(X1)) )
| ~ spl20_27
| ~ spl20_39 ),
inference(resolution,[],[f325,f268]) ).
fof(f268,plain,
( ! [X0] :
( id(X0,sK2(X0))
| id(X0,sK1(X0)) )
| ~ spl20_27 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f798,plain,
( spl20_94
| ~ spl20_24
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f347,f324,f230,f796]) ).
fof(f796,plain,
( spl20_94
<=> ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_94])]) ).
fof(f230,plain,
( spl20_24
<=> ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_24])]) ).
fof(f347,plain,
( ! [X2,X0,X1] :
( id(X0,sK13(X1,X2))
| ~ id(X0,sK15(X1,X2)) )
| ~ spl20_24
| ~ spl20_39 ),
inference(resolution,[],[f325,f231]) ).
fof(f231,plain,
( ! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1))
| ~ spl20_24 ),
inference(avatar_component_clause,[],[f230]) ).
fof(f794,plain,
( spl20_93
| ~ spl20_23
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f346,f324,f226,f792]) ).
fof(f792,plain,
( spl20_93
<=> ! [X2,X0,X1] :
( id(X0,sK9(X1,X2))
| ~ id(X0,sK11(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_93])]) ).
fof(f226,plain,
( spl20_23
<=> ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_23])]) ).
fof(f346,plain,
( ! [X2,X0,X1] :
( id(X0,sK9(X1,X2))
| ~ id(X0,sK11(X1,X2)) )
| ~ spl20_23
| ~ spl20_39 ),
inference(resolution,[],[f325,f227]) ).
fof(f227,plain,
( ! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1))
| ~ spl20_23 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f790,plain,
( spl20_92
| ~ spl20_19
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f345,f324,f210,f788]) ).
fof(f788,plain,
( spl20_92
<=> ! [X2,X0,X1] :
( id(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_92])]) ).
fof(f210,plain,
( spl20_19
<=> ! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK8(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_19])]) ).
fof(f345,plain,
( ! [X2,X0,X1] :
( id(X0,sK8(X1))
| ~ id(X0,X2)
| ~ r2(X1,X2) )
| ~ spl20_19
| ~ spl20_39 ),
inference(resolution,[],[f325,f211]) ).
fof(f211,plain,
( ! [X2,X0] :
( id(X2,sK8(X0))
| ~ r2(X0,X2) )
| ~ spl20_19 ),
inference(avatar_component_clause,[],[f210]) ).
fof(f786,plain,
( spl20_91
| ~ spl20_18
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f342,f324,f206,f784]) ).
fof(f784,plain,
( spl20_91
<=> ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_91])]) ).
fof(f206,plain,
( spl20_18
<=> ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_18])]) ).
fof(f342,plain,
( ! [X0,X1] :
( id(X0,sK1(X1))
| ~ id(X0,X1)
| r1(sK2(X1)) )
| ~ spl20_18
| ~ spl20_39 ),
inference(resolution,[],[f325,f207]) ).
fof(f207,plain,
( ! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f782,plain,
( spl20_90
| ~ spl20_21
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f335,f316,f218,f780]) ).
fof(f780,plain,
( spl20_90
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_90])]) ).
fof(f218,plain,
( spl20_21
<=> ! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_21])]) ).
fof(f335,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(sK18(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_37 ),
inference(resolution,[],[f317,f219]) ).
fof(f219,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X1)
| r1(X0) )
| ~ spl20_21 ),
inference(avatar_component_clause,[],[f218]) ).
fof(f778,plain,
( spl20_89
| ~ spl20_22
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f334,f316,f222,f776]) ).
fof(f776,plain,
( spl20_89
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_89])]) ).
fof(f222,plain,
( spl20_22
<=> ! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f334,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| ~ r1(X2)
| r1(sK18(X0,X1)) )
| ~ spl20_22
| ~ spl20_37 ),
inference(resolution,[],[f317,f223]) ).
fof(f223,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| ~ r1(X0)
| r1(X1) )
| ~ spl20_22 ),
inference(avatar_component_clause,[],[f222]) ).
fof(f774,plain,
( spl20_88
| ~ spl20_21
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f329,f304,f218,f772]) ).
fof(f772,plain,
( spl20_88
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_88])]) ).
fof(f329,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(sK17(X0,X1))
| r1(X2) )
| ~ spl20_21
| ~ spl20_34 ),
inference(resolution,[],[f305,f219]) ).
fof(f770,plain,
( spl20_87
| ~ spl20_22
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f328,f304,f222,f768]) ).
fof(f768,plain,
( spl20_87
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_87])]) ).
fof(f328,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| ~ r1(X2)
| r1(sK17(X0,X1)) )
| ~ spl20_22
| ~ spl20_34 ),
inference(resolution,[],[f305,f223]) ).
fof(f766,plain,
( spl20_86
| ~ spl20_29
| ~ spl20_33 ),
inference(avatar_split_clause,[],[f327,f300,f275,f764]) ).
fof(f764,plain,
( spl20_86
<=> ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_86])]) ).
fof(f275,plain,
( spl20_29
<=> ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_29])]) ).
fof(f327,plain,
( ! [X0,X1] :
( id(X0,sK2(X0))
| ~ r1(X1)
| ~ id(X1,sK1(X0)) )
| ~ spl20_29
| ~ spl20_33 ),
inference(resolution,[],[f301,f276]) ).
fof(f276,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) )
| ~ spl20_29 ),
inference(avatar_component_clause,[],[f275]) ).
fof(f747,plain,
( spl20_85
| ~ spl20_41
| ~ spl20_76 ),
inference(avatar_split_clause,[],[f656,f622,f356,f745]) ).
fof(f622,plain,
( spl20_76
<=> ! [X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r2(sK8(X3),X0)
| ~ r1(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_76])]) ).
fof(f656,plain,
( ! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r2(sK8(sK8(X2)),X0)
| ~ r1(X2) )
| ~ spl20_41
| ~ spl20_76 ),
inference(resolution,[],[f623,f357]) ).
fof(f623,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(sK8(X3),X0)
| ~ r2(X1,X2)
| ~ r2(X0,X1)
| ~ r1(X3) )
| ~ spl20_76 ),
inference(avatar_component_clause,[],[f622]) ).
fof(f713,plain,
( spl20_84
| ~ spl20_15
| ~ spl20_37 ),
inference(avatar_split_clause,[],[f336,f316,f188,f711]) ).
fof(f711,plain,
( spl20_84
<=> ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_84])]) ).
fof(f188,plain,
( spl20_15
<=> ! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_15])]) ).
fof(f336,plain,
( ! [X2,X0,X1] :
( ~ r3(X0,X1,X2)
| id(sK18(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_37 ),
inference(resolution,[],[f317,f189]) ).
fof(f189,plain,
( ! [X0,X1] :
( ~ id(X0,X1)
| id(X1,X0) )
| ~ spl20_15 ),
inference(avatar_component_clause,[],[f188]) ).
fof(f709,plain,
( spl20_83
| ~ spl20_15
| ~ spl20_34 ),
inference(avatar_split_clause,[],[f330,f304,f188,f707]) ).
fof(f707,plain,
( spl20_83
<=> ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_83])]) ).
fof(f330,plain,
( ! [X2,X0,X1] :
( ~ r4(X0,X1,X2)
| id(sK17(X0,X1),X2) )
| ~ spl20_15
| ~ spl20_34 ),
inference(resolution,[],[f305,f189]) ).
fof(f705,plain,
( spl20_82
| ~ spl20_28
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f296,f275,f271,f703]) ).
fof(f703,plain,
( spl20_82
<=> ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_82])]) ).
fof(f296,plain,
( ! [X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK1(X1))
| r1(sK2(X1)) )
| ~ spl20_28
| ~ spl20_29 ),
inference(resolution,[],[f276,f272]) ).
fof(f701,plain,
( spl20_81
| ~ spl20_21
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f291,f267,f218,f699]) ).
fof(f699,plain,
( spl20_81
<=> ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_81])]) ).
fof(f291,plain,
( ! [X0] :
( id(X0,sK1(X0))
| ~ r1(sK2(X0))
| r1(X0) )
| ~ spl20_21
| ~ spl20_27 ),
inference(resolution,[],[f268,f219]) ).
fof(f640,plain,
( spl20_80
| ~ spl20_9
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f350,f324,f160,f638]) ).
fof(f638,plain,
( spl20_80
<=> ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_80])]) ).
fof(f160,plain,
( spl20_9
<=> ! [X1] :
( ~ r1(X1)
| id(X1,sK19) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_9])]) ).
fof(f350,plain,
( ! [X0,X1] :
( id(X0,sK19)
| ~ id(X0,X1)
| ~ r1(X1) )
| ~ spl20_9
| ~ spl20_39 ),
inference(resolution,[],[f325,f161]) ).
fof(f161,plain,
( ! [X1] :
( id(X1,sK19)
| ~ r1(X1) )
| ~ spl20_9 ),
inference(avatar_component_clause,[],[f160]) ).
fof(f636,plain,
( spl20_79
| ~ spl20_6
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f344,f324,f148,f634]) ).
fof(f634,plain,
( spl20_79
<=> ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_79])]) ).
fof(f148,plain,
( spl20_6
<=> ! [X0] : id(sK5(X0),sK6(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).
fof(f344,plain,
( ! [X0,X1] :
( id(X0,sK6(X1))
| ~ id(X0,sK5(X1)) )
| ~ spl20_6
| ~ spl20_39 ),
inference(resolution,[],[f325,f149]) ).
fof(f149,plain,
( ! [X0] : id(sK5(X0),sK6(X0))
| ~ spl20_6 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f632,plain,
( spl20_78
| ~ spl20_15
| ~ spl20_27 ),
inference(avatar_split_clause,[],[f292,f267,f188,f630]) ).
fof(f630,plain,
( spl20_78
<=> ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_78])]) ).
fof(f292,plain,
( ! [X0] :
( id(X0,sK1(X0))
| id(sK2(X0),X0) )
| ~ spl20_15
| ~ spl20_27 ),
inference(resolution,[],[f268,f189]) ).
fof(f628,plain,
( spl20_77
| ~ spl20_21
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f261,f226,f218,f626]) ).
fof(f626,plain,
( spl20_77
<=> ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK11(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_77])]) ).
fof(f261,plain,
( ! [X0,X1] :
( ~ r1(sK9(X0,X1))
| r1(sK11(X0,X1)) )
| ~ spl20_21
| ~ spl20_23 ),
inference(resolution,[],[f227,f219]) ).
fof(f624,plain,
( spl20_76
| ~ spl20_41
| ~ spl20_52 ),
inference(avatar_split_clause,[],[f488,f445,f356,f622]) ).
fof(f445,plain,
( spl20_52
<=> ! [X4,X0,X3,X2,X1] :
( ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X4,X0)
| ~ r1(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_52])]) ).
fof(f488,plain,
( ! [X2,X3,X0,X1] :
( ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r2(sK8(X3),X0)
| ~ r1(X3) )
| ~ spl20_41
| ~ spl20_52 ),
inference(resolution,[],[f446,f357]) ).
fof(f446,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X4,X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X0,X1)
| ~ r1(X4) )
| ~ spl20_52 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f620,plain,
( spl20_75
| ~ spl20_22
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f260,f226,f222,f618]) ).
fof(f618,plain,
( spl20_75
<=> ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK9(X0,X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_75])]) ).
fof(f260,plain,
( ! [X0,X1] :
( ~ r1(sK11(X0,X1))
| r1(sK9(X0,X1)) )
| ~ spl20_22
| ~ spl20_23 ),
inference(resolution,[],[f227,f223]) ).
fof(f616,plain,
( spl20_74
| ~ spl20_19
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f257,f222,f210,f614]) ).
fof(f614,plain,
( spl20_74
<=> ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_74])]) ).
fof(f257,plain,
( ! [X0,X1] :
( ~ r1(X0)
| r1(sK8(X1))
| ~ r2(X1,X0) )
| ~ spl20_19
| ~ spl20_22 ),
inference(resolution,[],[f223,f211]) ).
fof(f612,plain,
( spl20_73
| ~ spl20_18
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f255,f222,f206,f610]) ).
fof(f610,plain,
( spl20_73
<=> ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_73])]) ).
fof(f255,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK1(X0))
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_22 ),
inference(resolution,[],[f223,f207]) ).
fof(f608,plain,
( spl20_72
| ~ spl20_19
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f251,f218,f210,f606]) ).
fof(f606,plain,
( spl20_72
<=> ! [X0,X1] :
( ~ r1(sK8(X0))
| r1(X1)
| ~ r2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_72])]) ).
fof(f251,plain,
( ! [X0,X1] :
( ~ r1(sK8(X0))
| r1(X1)
| ~ r2(X0,X1) )
| ~ spl20_19
| ~ spl20_21 ),
inference(resolution,[],[f219,f211]) ).
fof(f604,plain,
( spl20_71
| ~ spl20_18
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f249,f218,f206,f602]) ).
fof(f602,plain,
( spl20_71
<=> ! [X0] :
( ~ r1(sK1(X0))
| r1(X0)
| r1(sK2(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_71])]) ).
fof(f249,plain,
( ! [X0] :
( ~ r1(sK1(X0))
| r1(X0)
| r1(sK2(X0)) )
| ~ spl20_18
| ~ spl20_21 ),
inference(resolution,[],[f219,f207]) ).
fof(f550,plain,
( spl20_70
| ~ spl20_5
| ~ spl20_39 ),
inference(avatar_split_clause,[],[f341,f324,f144,f548]) ).
fof(f548,plain,
( spl20_70
<=> ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_70])]) ).
fof(f144,plain,
( spl20_5
<=> ! [X0] : id(sK3(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_5])]) ).
fof(f341,plain,
( ! [X0,X1] :
( id(X0,X1)
| ~ id(X0,sK3(X1)) )
| ~ spl20_5
| ~ spl20_39 ),
inference(resolution,[],[f325,f145]) ).
fof(f145,plain,
( ! [X0] : id(sK3(X0),X0)
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f546,plain,
( spl20_69
| ~ spl20_5
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f339,f320,f144,f544]) ).
fof(f544,plain,
( spl20_69
<=> ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_69])]) ).
fof(f320,plain,
( spl20_38
<=> ! [X0,X1,X3] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_38])]) ).
fof(f339,plain,
( ! [X0,X1] : r3(X0,X1,sK3(sK18(X0,X1)))
| ~ spl20_5
| ~ spl20_38 ),
inference(resolution,[],[f321,f145]) ).
fof(f321,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) )
| ~ spl20_38 ),
inference(avatar_component_clause,[],[f320]) ).
fof(f542,plain,
( spl20_68
| ~ spl20_5
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f333,f308,f144,f540]) ).
fof(f540,plain,
( spl20_68
<=> ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_68])]) ).
fof(f308,plain,
( spl20_35
<=> ! [X0,X1,X3] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_35])]) ).
fof(f333,plain,
( ! [X0,X1] : r4(X0,X1,sK3(sK17(X0,X1)))
| ~ spl20_5
| ~ spl20_35 ),
inference(resolution,[],[f309,f145]) ).
fof(f309,plain,
( ! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) )
| ~ spl20_35 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f538,plain,
( spl20_67
| ~ spl20_25
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f295,f275,f234,f536]) ).
fof(f536,plain,
( spl20_67
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_67])]) ).
fof(f295,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK13(X1,X2)) )
| ~ spl20_25
| ~ spl20_29 ),
inference(resolution,[],[f276,f235]) ).
fof(f534,plain,
( spl20_66
| ~ spl20_8
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f294,f275,f156,f532]) ).
fof(f532,plain,
( spl20_66
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_66])]) ).
fof(f294,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK16(X1,X2)) )
| ~ spl20_8
| ~ spl20_29 ),
inference(resolution,[],[f276,f157]) ).
fof(f530,plain,
( spl20_65
| ~ spl20_4
| ~ spl20_57 ),
inference(avatar_split_clause,[],[f502,f484,f140,f528]) ).
fof(f484,plain,
( spl20_57
<=> ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).
fof(f502,plain,
( ! [X0] : r1(sK5(X0))
| ~ spl20_4
| ~ spl20_57 ),
inference(resolution,[],[f485,f141]) ).
fof(f485,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_57 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f526,plain,
( spl20_64
| ~ spl20_7
| ~ spl20_29 ),
inference(avatar_split_clause,[],[f293,f275,f152,f524]) ).
fof(f524,plain,
( spl20_64
<=> ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_64])]) ).
fof(f293,plain,
( ! [X2,X0,X1] :
( ~ r1(X0)
| ~ id(X0,sK12(X1,X2)) )
| ~ spl20_7
| ~ spl20_29 ),
inference(resolution,[],[f276,f153]) ).
fof(f522,plain,
( spl20_63
| ~ spl20_15
| ~ spl20_24 ),
inference(avatar_split_clause,[],[f265,f230,f188,f520]) ).
fof(f520,plain,
( spl20_63
<=> ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_63])]) ).
fof(f265,plain,
( ! [X0,X1] : id(sK13(X0,X1),sK15(X0,X1))
| ~ spl20_15
| ~ spl20_24 ),
inference(resolution,[],[f231,f189]) ).
fof(f518,plain,
( spl20_62
| ~ spl20_15
| ~ spl20_23 ),
inference(avatar_split_clause,[],[f262,f226,f188,f516]) ).
fof(f516,plain,
( spl20_62
<=> ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_62])]) ).
fof(f262,plain,
( ! [X0,X1] : id(sK9(X0,X1),sK11(X0,X1))
| ~ spl20_15
| ~ spl20_23 ),
inference(resolution,[],[f227,f189]) ).
fof(f514,plain,
( spl20_61
| ~ spl20_15
| ~ spl20_19 ),
inference(avatar_split_clause,[],[f238,f210,f188,f512]) ).
fof(f512,plain,
( spl20_61
<=> ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_61])]) ).
fof(f238,plain,
( ! [X0,X1] :
( ~ r2(X0,X1)
| id(sK8(X0),X1) )
| ~ spl20_15
| ~ spl20_19 ),
inference(resolution,[],[f211,f189]) ).
fof(f510,plain,
( spl20_60
| ~ spl20_15
| ~ spl20_18 ),
inference(avatar_split_clause,[],[f237,f206,f188,f508]) ).
fof(f508,plain,
( spl20_60
<=> ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_60])]) ).
fof(f237,plain,
( ! [X0] :
( r1(sK2(X0))
| id(sK1(X0),X0) )
| ~ spl20_15
| ~ spl20_18 ),
inference(resolution,[],[f207,f189]) ).
fof(f501,plain,
( spl20_59
| ~ spl20_1
| ~ spl20_38 ),
inference(avatar_split_clause,[],[f338,f320,f128,f499]) ).
fof(f499,plain,
( spl20_59
<=> ! [X0,X1] : r3(X0,X1,sK18(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_59])]) ).
fof(f128,plain,
( spl20_1
<=> ! [X0] : id(X0,X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f338,plain,
( ! [X0,X1] : r3(X0,X1,sK18(X0,X1))
| ~ spl20_1
| ~ spl20_38 ),
inference(resolution,[],[f321,f129]) ).
fof(f129,plain,
( ! [X0] : id(X0,X0)
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f497,plain,
( spl20_58
| ~ spl20_1
| ~ spl20_35 ),
inference(avatar_split_clause,[],[f332,f308,f128,f495]) ).
fof(f495,plain,
( spl20_58
<=> ! [X0,X1] : r4(X0,X1,sK17(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).
fof(f332,plain,
( ! [X0,X1] : r4(X0,X1,sK17(X0,X1))
| ~ spl20_1
| ~ spl20_35 ),
inference(resolution,[],[f309,f129]) ).
fof(f486,plain,
( spl20_57
| ~ spl20_6
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f250,f218,f148,f484]) ).
fof(f250,plain,
( ! [X0] :
( ~ r1(sK6(X0))
| r1(sK5(X0)) )
| ~ spl20_6
| ~ spl20_21 ),
inference(resolution,[],[f219,f149]) ).
fof(f463,plain,
( spl20_56
| ~ spl20_5
| ~ spl20_22 ),
inference(avatar_split_clause,[],[f254,f222,f144,f461]) ).
fof(f461,plain,
( spl20_56
<=> ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).
fof(f254,plain,
( ! [X0] :
( ~ r1(sK3(X0))
| r1(X0) )
| ~ spl20_5
| ~ spl20_22 ),
inference(resolution,[],[f223,f145]) ).
fof(f459,plain,
( spl20_55
| ~ spl20_5
| ~ spl20_21 ),
inference(avatar_split_clause,[],[f248,f218,f144,f457]) ).
fof(f457,plain,
( spl20_55
<=> ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_55])]) ).
fof(f248,plain,
( ! [X0] :
( ~ r1(X0)
| r1(sK3(X0)) )
| ~ spl20_5
| ~ spl20_21 ),
inference(resolution,[],[f219,f145]) ).
fof(f455,plain,
( spl20_54
| ~ spl20_5
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f241,f214,f144,f453]) ).
fof(f214,plain,
( spl20_20
<=> ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_20])]) ).
fof(f241,plain,
( ! [X0] : r2(X0,sK3(sK8(X0)))
| ~ spl20_5
| ~ spl20_20 ),
inference(resolution,[],[f215,f145]) ).
fof(f215,plain,
( ! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) )
| ~ spl20_20 ),
inference(avatar_component_clause,[],[f214]) ).
fof(f451,plain,
( spl20_53
| ~ spl20_9
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f203,f188,f160,f449]) ).
fof(f449,plain,
( spl20_53
<=> ! [X0] :
( id(sK19,X0)
| ~ r1(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_53])]) ).
fof(f203,plain,
( ! [X0] :
( id(sK19,X0)
| ~ r1(X0) )
| ~ spl20_9
| ~ spl20_15 ),
inference(resolution,[],[f189,f161]) ).
fof(f447,plain,
( spl20_52
| ~ spl20_1
| ~ spl20_49 ),
inference(avatar_split_clause,[],[f432,f425,f128,f445]) ).
fof(f425,plain,
( spl20_49
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ id(sK14(X5,X4),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_49])]) ).
fof(f432,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ r2(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X4,X0)
| ~ r1(X4) )
| ~ spl20_1
| ~ spl20_49 ),
inference(resolution,[],[f426,f129]) ).
fof(f426,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ id(sK14(X5,X4),X6)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ r1(X0) )
| ~ spl20_49 ),
inference(avatar_component_clause,[],[f425]) ).
fof(f443,plain,
( spl20_51
| ~ spl20_6
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f202,f188,f148,f441]) ).
fof(f441,plain,
( spl20_51
<=> ! [X0] : id(sK6(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_51])]) ).
fof(f202,plain,
( ! [X0] : id(sK6(X0),sK5(X0))
| ~ spl20_6
| ~ spl20_15 ),
inference(resolution,[],[f189,f149]) ).
fof(f431,plain,
( spl20_50
| ~ spl20_11
| ~ spl20_31 ),
inference(avatar_split_clause,[],[f297,f283,f171,f429]) ).
fof(f429,plain,
( spl20_50
<=> ! [X5,X6,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ id(sK9(X4,X5),X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_50])]) ).
fof(f171,plain,
( spl20_11
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ id(X2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_11])]) ).
fof(f283,plain,
( spl20_31
<=> ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_31])]) ).
fof(f297,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ id(sK9(X4,X5),X6) )
| ~ spl20_11
| ~ spl20_31 ),
inference(resolution,[],[f284,f172]) ).
fof(f172,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r3(X1,X3,X2)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r2(X7,X6)
| ~ id(X2,X0) )
| ~ spl20_11 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f284,plain,
( ! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1))
| ~ spl20_31 ),
inference(avatar_component_clause,[],[f283]) ).
fof(f427,plain,
( spl20_49
| ~ spl20_11
| ~ spl20_17 ),
inference(avatar_split_clause,[],[f204,f196,f171,f425]) ).
fof(f196,plain,
( spl20_17
<=> ! [X0,X1] : r3(X0,X1,sK14(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_17])]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1,X6,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,X4)
| ~ r2(X0,X1)
| ~ id(sK14(X5,X4),X6) )
| ~ spl20_11
| ~ spl20_17 ),
inference(resolution,[],[f197,f172]) ).
fof(f197,plain,
( ! [X0,X1] : r3(X0,X1,sK14(X0,X1))
| ~ spl20_17 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f423,plain,
( spl20_48
| ~ spl20_11
| ~ spl20_12 ),
inference(avatar_split_clause,[],[f199,f175,f171,f421]) ).
fof(f421,plain,
( spl20_48
<=> ! [X5,X4,X0,X3,X2,X1] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,sK4(X4))
| ~ r2(X0,X1)
| ~ id(sK3(X4),X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_48])]) ).
fof(f175,plain,
( spl20_12
<=> ! [X0] : r3(X0,sK4(X0),sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_12])]) ).
fof(f199,plain,
( ! [X2,X3,X0,X1,X4,X5] :
( ~ r1(X0)
| ~ r2(X1,X2)
| ~ r2(X2,X3)
| ~ r2(X3,sK4(X4))
| ~ r2(X0,X1)
| ~ id(sK3(X4),X5) )
| ~ spl20_11
| ~ spl20_12 ),
inference(resolution,[],[f176,f172]) ).
fof(f176,plain,
( ! [X0] : r3(X0,sK4(X0),sK3(X0))
| ~ spl20_12 ),
inference(avatar_component_clause,[],[f175]) ).
fof(f397,plain,
spl20_47,
inference(avatar_split_clause,[],[f121,f395]) ).
fof(f395,plain,
( spl20_47
<=> ! [X3,X4,X0,X5,X2,X1] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_47])]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X3,X4,X5)
| ~ r3(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r3(X3,X4,X5)
& r3(X0,X1,X2) )
| ( ~ r3(X3,X4,X5)
& ~ r3(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X25,X26,X27,X28,X29,X30] :
( ( r3(X28,X29,X30)
& r3(X25,X26,X27) )
| ( ~ r3(X28,X29,X30)
& ~ r3(X25,X26,X27) )
| ~ id(X27,X30)
| ~ id(X26,X29)
| ~ id(X25,X28) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f393,plain,
spl20_46,
inference(avatar_split_clause,[],[f120,f391]) ).
fof(f391,plain,
( spl20_46
<=> ! [X3,X4,X0,X5,X2,X1] :
( r3(X0,X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_46])]) ).
fof(f120,plain,
! [X2,X3,X0,X1,X4,X5] :
( r3(X0,X1,X2)
| ~ r3(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f389,plain,
spl20_45,
inference(avatar_split_clause,[],[f117,f387]) ).
fof(f387,plain,
( spl20_45
<=> ! [X3,X4,X0,X5,X2,X1] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_45])]) ).
fof(f117,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X3,X4,X5)
| ~ r4(X0,X1,X2)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( r4(X3,X4,X5)
& r4(X0,X1,X2) )
| ( ~ r4(X3,X4,X5)
& ~ r4(X0,X1,X2) )
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X31,X32,X33,X34,X35,X36] :
( ( r4(X34,X35,X36)
& r4(X31,X32,X33) )
| ( ~ r4(X34,X35,X36)
& ~ r4(X31,X32,X33) )
| ~ id(X33,X36)
| ~ id(X32,X35)
| ~ id(X31,X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f385,plain,
spl20_44,
inference(avatar_split_clause,[],[f116,f383]) ).
fof(f383,plain,
( spl20_44
<=> ! [X3,X4,X0,X5,X2,X1] :
( r4(X0,X1,X2)
| ~ r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_44])]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4,X5] :
( r4(X0,X1,X2)
| ~ r4(X3,X4,X5)
| ~ id(X2,X5)
| ~ id(X1,X4)
| ~ id(X0,X3) ),
inference(cnf_transformation,[],[f37]) ).
fof(f366,plain,
spl20_43,
inference(avatar_split_clause,[],[f113,f364]) ).
fof(f113,plain,
! [X2,X3,X0,X1] :
( r2(X2,X3)
| ~ r2(X0,X1)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1,X2,X3] :
( ( r2(X2,X3)
& r2(X0,X1) )
| ( ~ r2(X2,X3)
& ~ r2(X0,X1) )
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X21,X22,X23,X24] :
( ( r2(X23,X24)
& r2(X21,X22) )
| ( ~ r2(X23,X24)
& ~ r2(X21,X22) )
| ~ id(X22,X24)
| ~ id(X21,X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f362,plain,
spl20_42,
inference(avatar_split_clause,[],[f112,f360]) ).
fof(f112,plain,
! [X2,X3,X0,X1] :
( r2(X0,X1)
| ~ r2(X2,X3)
| ~ id(X1,X3)
| ~ id(X0,X2) ),
inference(cnf_transformation,[],[f36]) ).
fof(f358,plain,
( spl20_41
| ~ spl20_1
| ~ spl20_20 ),
inference(avatar_split_clause,[],[f240,f214,f128,f356]) ).
fof(f240,plain,
( ! [X0] : r2(X0,sK8(X0))
| ~ spl20_1
| ~ spl20_20 ),
inference(resolution,[],[f215,f129]) ).
fof(f354,plain,
spl20_40,
inference(avatar_split_clause,[],[f91,f352]) ).
fof(f91,plain,
! [X2,X3,X0,X1] :
( id(X0,X1)
| ~ r2(X1,X2)
| ~ r2(X0,X3)
| ~ id(X3,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( id(X0,X1)
| ! [X2] :
( ~ r2(X1,X2)
| ! [X3] :
( ~ r2(X0,X3)
| ~ id(X3,X2) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X49,X50] :
( id(X49,X50)
| ! [X51] :
( ~ r2(X50,X51)
| ! [X52] :
( ~ r2(X49,X52)
| ~ id(X52,X51) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f326,plain,
spl20_39,
inference(avatar_split_clause,[],[f110,f324]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ id(X1,X2)
| id(X0,X2)
| ~ id(X0,X1) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X16,X17,X18] :
( ~ id(X17,X18)
| id(X16,X18)
| ~ id(X16,X17) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f322,plain,
spl20_38,
inference(avatar_split_clause,[],[f109,f320]) ).
fof(f109,plain,
! [X3,X0,X1] :
( ~ id(X3,sK18(X0,X1))
| r3(X0,X1,X3) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18])],[f34,f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK18(X0,X1))
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,sK18(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r3(X0,X1,X3) )
| ( r3(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X5,X6] :
? [X7] :
! [X8] :
( ( ~ id(X8,X7)
& ~ r3(X5,X6,X8) )
| ( r3(X5,X6,X8)
& id(X8,X7) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f318,plain,
spl20_37,
inference(avatar_split_clause,[],[f106,f316]) ).
fof(f106,plain,
! [X3,X0,X1] :
( ~ r3(X0,X1,X3)
| id(X3,sK18(X0,X1)) ),
inference(cnf_transformation,[],[f65]) ).
fof(f314,plain,
( spl20_36
| ~ spl20_5
| ~ spl20_15 ),
inference(avatar_split_clause,[],[f201,f188,f144,f312]) ).
fof(f312,plain,
( spl20_36
<=> ! [X0] : id(X0,sK3(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_36])]) ).
fof(f201,plain,
( ! [X0] : id(X0,sK3(X0))
| ~ spl20_5
| ~ spl20_15 ),
inference(resolution,[],[f189,f145]) ).
fof(f310,plain,
spl20_35,
inference(avatar_split_clause,[],[f105,f308]) ).
fof(f105,plain,
! [X3,X0,X1] :
( ~ id(X3,sK17(X0,X1))
| r4(X0,X1,X3) ),
inference(cnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1,X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f33,f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) )
=> ! [X3] :
( ( ~ id(X3,sK17(X0,X1))
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,sK17(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f33,plain,
! [X0,X1] :
? [X2] :
! [X3] :
( ( ~ id(X3,X2)
& ~ r4(X0,X1,X3) )
| ( r4(X0,X1,X3)
& id(X3,X2) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X9,X10] :
? [X11] :
! [X12] :
( ( ~ id(X12,X11)
& ~ r4(X9,X10,X12) )
| ( r4(X9,X10,X12)
& id(X12,X11) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f306,plain,
spl20_34,
inference(avatar_split_clause,[],[f102,f304]) ).
fof(f102,plain,
! [X3,X0,X1] :
( ~ r4(X0,X1,X3)
| id(X3,sK17(X0,X1)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f302,plain,
spl20_33,
inference(avatar_split_clause,[],[f72,f300]) ).
fof(f72,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
! [X0] :
( ( r2(sK0(X0),sK1(X0))
& id(X0,sK1(X0)) )
| ( r1(sK2(X0))
& id(X0,sK2(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f23,f41,f40]) ).
fof(f40,plain,
! [X0] :
( ? [X1,X2] :
( r2(X1,X2)
& id(X0,X2) )
=> ( r2(sK0(X0),sK1(X0))
& id(X0,sK1(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ? [X3] :
( r1(X3)
& id(X0,X3) )
=> ( r1(sK2(X0))
& id(X0,sK2(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f23,plain,
! [X0] :
( ? [X1,X2] :
( r2(X1,X2)
& id(X0,X2) )
| ? [X3] :
( r1(X3)
& id(X0,X3) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X60] :
( ? [X62,X63] :
( r2(X62,X63)
& id(X60,X63) )
| ? [X61] :
( r1(X61)
& id(X60,X61) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f289,plain,
spl20_32,
inference(avatar_split_clause,[],[f99,f287]) ).
fof(f287,plain,
( spl20_32
<=> ! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_32])]) ).
fof(f99,plain,
! [X0,X1] : r3(X0,sK16(X0,X1),sK15(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( r3(X0,X1,sK14(X0,X1))
& r2(sK14(X0,X1),sK13(X0,X1))
& r3(X0,sK16(X0,X1),sK15(X0,X1))
& r2(X1,sK16(X0,X1))
& id(sK15(X0,X1),sK13(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16])],[f32,f60,f59,f58,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,sK13(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f58,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(f59,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK13(X0,X1)) )
=> ( ? [X5] :
( r3(X0,X5,sK15(X0,X1))
& r2(X1,X5) )
& id(sK15(X0,X1),sK13(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f60,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(f32,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r3(X0,X1,X3)
& r2(X3,X2) )
& ? [X4] :
( ? [X5] :
( r3(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X37,X38] :
? [X39] :
( ? [X42] :
( r3(X37,X38,X42)
& r2(X42,X39) )
& ? [X40] :
( ? [X41] :
( r3(X37,X41,X40)
& r2(X38,X41) )
& id(X40,X39) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f285,plain,
spl20_31,
inference(avatar_split_clause,[],[f95,f283]) ).
fof(f95,plain,
! [X0,X1] : r3(sK10(X0,X1),X0,sK9(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0,X1] :
( r4(X0,X1,sK10(X0,X1))
& r3(sK10(X0,X1),X0,sK9(X0,X1))
& r4(X0,sK12(X0,X1),sK11(X0,X1))
& r2(X1,sK12(X0,X1))
& id(sK11(X0,X1),sK9(X0,X1)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12])],[f31,f55,f54,f53,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) )
=> ( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,sK9(X0,X1)) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f53,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(f54,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,sK9(X0,X1)) )
=> ( ? [X5] :
( r4(X0,X5,sK11(X0,X1))
& r2(X1,X5) )
& id(sK11(X0,X1),sK9(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f55,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(f31,plain,
! [X0,X1] :
? [X2] :
( ? [X3] :
( r4(X0,X1,X3)
& r3(X3,X0,X2) )
& ? [X4] :
( ? [X5] :
( r4(X0,X5,X4)
& r2(X1,X5) )
& id(X4,X2) ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X43,X44] :
? [X45] :
( ? [X48] :
( r4(X43,X44,X48)
& r3(X48,X43,X45) )
& ? [X46] :
( ? [X47] :
( r4(X43,X47,X46)
& r2(X44,X47) )
& id(X46,X45) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f281,plain,
spl20_30,
inference(avatar_split_clause,[],[f94,f279]) ).
fof(f279,plain,
( spl20_30
<=> ! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_30])]) ).
fof(f94,plain,
! [X0,X1] : r4(X0,sK12(X0,X1),sK11(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f277,plain,
spl20_29,
inference(avatar_split_clause,[],[f90,f275]) ).
fof(f90,plain,
! [X2,X0,X1] :
( ~ r2(X0,X1)
| ~ r1(X2)
| ~ id(X2,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ r2(X0,X1)
| ! [X2] :
( ~ r1(X2)
| ~ id(X2,X1) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X64,X65] :
( ~ r2(X64,X65)
| ! [X66] :
( ~ r1(X66)
| ~ id(X66,X65) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f273,plain,
spl20_28,
inference(avatar_split_clause,[],[f73,f271]) ).
fof(f73,plain,
! [X0] :
( r2(sK0(X0),sK1(X0))
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f269,plain,
spl20_27,
inference(avatar_split_clause,[],[f70,f267]) ).
fof(f70,plain,
! [X0] :
( id(X0,sK1(X0))
| id(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f246,plain,
( spl20_26
| ~ spl20_5
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f169,f164,f144,f243]) ).
fof(f164,plain,
( spl20_10
<=> ! [X1] :
( ~ id(X1,sK19)
| r1(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f169,plain,
( r1(sK3(sK19))
| ~ spl20_5
| ~ spl20_10 ),
inference(resolution,[],[f165,f145]) ).
fof(f165,plain,
( ! [X1] :
( ~ id(X1,sK19)
| r1(X1) )
| ~ spl20_10 ),
inference(avatar_component_clause,[],[f164]) ).
fof(f236,plain,
spl20_25,
inference(avatar_split_clause,[],[f100,f234]) ).
fof(f100,plain,
! [X0,X1] : r2(sK14(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f232,plain,
spl20_24,
inference(avatar_split_clause,[],[f97,f230]) ).
fof(f97,plain,
! [X0,X1] : id(sK15(X0,X1),sK13(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f228,plain,
spl20_23,
inference(avatar_split_clause,[],[f92,f226]) ).
fof(f92,plain,
! [X0,X1] : id(sK11(X0,X1),sK9(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f224,plain,
spl20_22,
inference(avatar_split_clause,[],[f88,f222]) ).
fof(f88,plain,
! [X0,X1] :
( r1(X1)
| ~ r1(X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( ( r1(X1)
& r1(X0) )
| ( ~ r1(X1)
& ~ r1(X0) )
| ~ id(X0,X1) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X19,X20] :
( ( r1(X20)
& r1(X19) )
| ( ~ r1(X20)
& ~ r1(X19) )
| ~ id(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f220,plain,
spl20_21,
inference(avatar_split_clause,[],[f87,f218]) ).
fof(f87,plain,
! [X0,X1] :
( r1(X0)
| ~ r1(X1)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f28]) ).
fof(f216,plain,
spl20_20,
inference(avatar_split_clause,[],[f84,f214]) ).
fof(f84,plain,
! [X2,X0] :
( ~ id(X2,sK8(X0))
| r2(X0,X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f26,f50]) ).
fof(f50,plain,
! [X0] :
( ? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) )
=> ! [X2] :
( ( ~ id(X2,sK8(X0))
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,sK8(X0)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f26,plain,
! [X0] :
? [X1] :
! [X2] :
( ( ~ id(X2,X1)
& ~ r2(X0,X2) )
| ( r2(X0,X2)
& id(X2,X1) ) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X2] :
? [X3] :
! [X4] :
( ( ~ id(X4,X3)
& ~ r2(X2,X4) )
| ( r2(X2,X4)
& id(X4,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f212,plain,
spl20_19,
inference(avatar_split_clause,[],[f81,f210]) ).
fof(f81,plain,
! [X2,X0] :
( ~ r2(X0,X2)
| id(X2,sK8(X0)) ),
inference(cnf_transformation,[],[f51]) ).
fof(f208,plain,
spl20_18,
inference(avatar_split_clause,[],[f71,f206]) ).
fof(f71,plain,
! [X0] :
( id(X0,sK1(X0))
| r1(sK2(X0)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f198,plain,
spl20_17,
inference(avatar_split_clause,[],[f101,f196]) ).
fof(f101,plain,
! [X0,X1] : r3(X0,X1,sK14(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f194,plain,
spl20_16,
inference(avatar_split_clause,[],[f96,f192]) ).
fof(f192,plain,
( spl20_16
<=> ! [X0,X1] : r4(X0,X1,sK10(X0,X1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_16])]) ).
fof(f96,plain,
! [X0,X1] : r4(X0,X1,sK10(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f190,plain,
spl20_15,
inference(avatar_split_clause,[],[f85,f188]) ).
fof(f85,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1] :
( id(X1,X0)
| ~ id(X0,X1) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X14,X15] :
( id(X15,X14)
| ~ id(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f186,plain,
spl20_14,
inference(avatar_split_clause,[],[f78,f184]) ).
fof(f184,plain,
( spl20_14
<=> ! [X0] : r4(X0,sK7(X0),sK5(X0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_14])]) ).
fof(f78,plain,
! [X0] : r4(X0,sK7(X0),sK5(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0] :
( r1(sK6(X0))
& id(sK5(X0),sK6(X0))
& r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f25,f48,f47,f46]) ).
fof(f46,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) )
=> ( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
& ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0] :
( ? [X2] :
( r1(X2)
& id(sK5(X0),X2) )
=> ( r1(sK6(X0))
& id(sK5(X0),sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0] :
( ? [X3] :
( r4(X0,X3,sK5(X0))
& r1(X3) )
=> ( r4(X0,sK7(X0),sK5(X0))
& r1(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f25,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r1(X2)
& id(X1,X2) )
& ? [X3] :
( r4(X0,X3,X1)
& r1(X3) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X56] :
? [X57] :
( ? [X59] :
( r1(X59)
& id(X57,X59) )
& ? [X58] :
( r4(X56,X58,X57)
& r1(X58) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f182,plain,
( spl20_13
| ~ spl20_1
| ~ spl20_10 ),
inference(avatar_split_clause,[],[f168,f164,f128,f179]) ).
fof(f168,plain,
( r1(sK19)
| ~ spl20_1
| ~ spl20_10 ),
inference(resolution,[],[f165,f129]) ).
fof(f177,plain,
spl20_12,
inference(avatar_split_clause,[],[f76,f175]) ).
fof(f76,plain,
! [X0] : r3(X0,sK4(X0),sK3(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0] :
( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0))
& id(sK3(X0),X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f24,f44,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) )
=> ( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
& id(sK3(X0),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f44,plain,
! [X0] :
( ? [X2] :
( r3(X0,X2,sK3(X0))
& r1(X2) )
=> ( r3(X0,sK4(X0),sK3(X0))
& r1(sK4(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X0] :
? [X1] :
( ? [X2] :
( r3(X0,X2,X1)
& r1(X2) )
& id(X1,X0) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X53] :
? [X54] :
( ? [X55] :
( r3(X53,X55,X54)
& r1(X55) )
& id(X54,X53) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f173,plain,
spl20_11,
inference(avatar_split_clause,[],[f68,f171]) ).
fof(f68,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ r2(X7,X6)
| ~ r1(X7)
| ~ r2(X6,X5)
| ~ r2(X5,X4)
| ~ r2(X4,X3)
| ~ r3(X1,X3,X2)
| ~ id(X2,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ~ r2(X7,X6)
| ~ r1(X7) )
| ~ r2(X6,X5) )
| ~ r2(X5,X4) )
| ~ r2(X4,X3) )
| ~ r3(X1,X3,X2) )
| ~ id(X2,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,plain,
~ ? [X0,X1,X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( r2(X7,X6)
& r1(X7) )
& r2(X6,X5) )
& r2(X5,X4) )
& r2(X4,X3) )
& r3(X1,X3,X2) )
& id(X2,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,negated_conjecture,
~ ? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
inference(negated_conjecture,[],[f19]) ).
fof(f19,conjecture,
? [X62,X45,X46] :
( ? [X39] :
( ? [X40] :
( ? [X48] :
( ? [X42] :
( ? [X57] :
( r2(X57,X42)
& r1(X57) )
& r2(X42,X48) )
& r2(X48,X40) )
& r2(X40,X39) )
& r3(X45,X39,X46) )
& id(X46,X62) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f166,plain,
spl20_10,
inference(avatar_split_clause,[],[f126,f164]) ).
fof(f126,plain,
! [X1] :
( ~ id(X1,sK19)
| r1(X1) ),
inference(cnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f1,f66]) ).
fof(f66,plain,
( ? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) )
=> ! [X1] :
( ( ~ id(X1,sK19)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,sK19) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1,axiom,
? [X0] :
! [X1] :
( ( ~ id(X1,X0)
& ~ r1(X1) )
| ( r1(X1)
& id(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f162,plain,
spl20_9,
inference(avatar_split_clause,[],[f123,f160]) ).
fof(f123,plain,
! [X1] :
( ~ r1(X1)
| id(X1,sK19) ),
inference(cnf_transformation,[],[f67]) ).
fof(f158,plain,
spl20_8,
inference(avatar_split_clause,[],[f98,f156]) ).
fof(f98,plain,
! [X0,X1] : r2(X1,sK16(X0,X1)),
inference(cnf_transformation,[],[f61]) ).
fof(f154,plain,
spl20_7,
inference(avatar_split_clause,[],[f93,f152]) ).
fof(f93,plain,
! [X0,X1] : r2(X1,sK12(X0,X1)),
inference(cnf_transformation,[],[f56]) ).
fof(f150,plain,
spl20_6,
inference(avatar_split_clause,[],[f79,f148]) ).
fof(f79,plain,
! [X0] : id(sK5(X0),sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f146,plain,
spl20_5,
inference(avatar_split_clause,[],[f74,f144]) ).
fof(f74,plain,
! [X0] : id(sK3(X0),X0),
inference(cnf_transformation,[],[f45]) ).
fof(f142,plain,
spl20_4,
inference(avatar_split_clause,[],[f80,f140]) ).
fof(f80,plain,
! [X0] : r1(sK6(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f138,plain,
spl20_3,
inference(avatar_split_clause,[],[f77,f136]) ).
fof(f77,plain,
! [X0] : r1(sK7(X0)),
inference(cnf_transformation,[],[f49]) ).
fof(f134,plain,
spl20_2,
inference(avatar_split_clause,[],[f75,f132]) ).
fof(f75,plain,
! [X0] : r1(sK4(X0)),
inference(cnf_transformation,[],[f45]) ).
fof(f130,plain,
spl20_1,
inference(avatar_split_clause,[],[f69,f128]) ).
fof(f69,plain,
! [X0] : id(X0,X0),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0] : id(X0,X0),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X13] : id(X13,X13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUN060+1 : TPTP v8.2.0. Released v7.3.0.
% 0.00/0.12 % Command : run_vampire %s %d SAT
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Jun 18 21:17:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.35 This is a FOF_THM_RFO_NEQ problem
% 0.19/0.35 Running first-order model finding
% 0.19/0.35 Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.39 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.39 % (3769)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3767)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3770)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3766)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3768)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3771)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.19/0.41 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.19/0.41 % (3772)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.19/0.42 TRYING [1]
% 0.19/0.42 TRYING [2]
% 0.20/0.42 TRYING [3]
% 0.20/0.43 TRYING [10]
% 0.20/0.43 TRYING [4]
% 0.20/0.44 % (3767)First to succeed.
% 0.20/0.44 % (3767)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3765"
% 0.20/0.45 % (3765)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.45 % (3767)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for theBenchmark
% 0.20/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.45 % (3767)------------------------------
% 0.20/0.45 % (3767)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.45 % (3767)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.45 % (3767)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (3767)Memory used [KB]: 1291
% 0.20/0.45 % (3767)Time elapsed: 0.031 s
% 0.20/0.45 % (3767)Instructions burned: 43 (million)
% 0.20/0.45 % (3767)------------------------------
% 0.20/0.45 % (3767)------------------------------
% 0.20/0.45 % (3765)Success in time 0.09 s
%------------------------------------------------------------------------------