%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:31:30 PM UTC 2026
% Result : Theorem 2.74s 1.27s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 8 unt; 1 def)
% Number of atoms : 2194 (2163 equ)
% Maximal formula atoms : 361 ( 99 avg)
% Number of connectives : 3628 (1456 ~;1091 |;1077 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 185 ( 53 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 100 ( 100 usr; 100 con; 0-0 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( edge(X1,X0)
<=> ( ( X1 = cell1
& X0 = cell2 )
| ( X1 = cell2
& X0 = cell3 )
| ( X1 = cell3
& X0 = cell4 )
| ( X1 = cell4
& X0 = cell5 )
| ( X1 = cell5
& X0 = cell6 )
| ( X1 = cell6
& X0 = cell7 )
| ( X1 = cell7
& X0 = cell8 )
| ( X1 = cell8
& X0 = cell9 )
| ( X1 = cell9
& X0 = cell10 )
| ( X1 = cell11
& X0 = cell12 )
| ( X1 = cell12
& X0 = cell13 )
| ( X1 = cell13
& X0 = cell14 )
| ( X1 = cell14
& X0 = cell15 )
| ( X1 = cell15
& X0 = cell16 )
| ( X1 = cell16
& X0 = cell17 )
| ( X1 = cell17
& X0 = cell18 )
| ( X1 = cell18
& X0 = cell19 )
| ( X1 = cell19
& X0 = cell20 )
| ( X1 = cell21
& X0 = cell22 )
| ( X1 = cell22
& X0 = cell23 )
| ( X1 = cell23
& X0 = cell24 )
| ( X1 = cell24
& X0 = cell25 )
| ( X1 = cell25
& X0 = cell26 )
| ( X1 = cell26
& X0 = cell27 )
| ( X1 = cell27
& X0 = cell28 )
| ( X1 = cell28
& X0 = cell29 )
| ( X1 = cell29
& X0 = cell30 )
| ( X1 = cell31
& X0 = cell32 )
| ( X1 = cell32
& X0 = cell33 )
| ( X1 = cell33
& X0 = cell34 )
| ( X1 = cell34
& X0 = cell35 )
| ( X1 = cell35
& X0 = cell36 )
| ( X1 = cell36
& X0 = cell37 )
| ( X1 = cell37
& X0 = cell38 )
| ( X1 = cell38
& X0 = cell39 )
| ( X1 = cell39
& X0 = cell40 )
| ( X1 = cell41
& X0 = cell42 )
| ( X1 = cell42
& X0 = cell43 )
| ( X1 = cell43
& X0 = cell44 )
| ( X1 = cell44
& X0 = cell45 )
| ( X1 = cell45
& X0 = cell46 )
| ( X1 = cell46
& X0 = cell47 )
| ( X1 = cell47
& X0 = cell48 )
| ( X1 = cell48
& X0 = cell49 )
| ( X1 = cell49
& X0 = cell50 )
| ( X1 = cell51
& X0 = cell52 )
| ( X1 = cell52
& X0 = cell53 )
| ( X1 = cell53
& X0 = cell54 )
| ( X1 = cell54
& X0 = cell55 )
| ( X1 = cell55
& X0 = cell56 )
| ( X1 = cell56
& X0 = cell57 )
| ( X1 = cell57
& X0 = cell58 )
| ( X1 = cell58
& X0 = cell59 )
| ( X1 = cell59
& X0 = cell60 )
| ( X1 = cell61
& X0 = cell62 )
| ( X1 = cell62
& X0 = cell63 )
| ( X1 = cell63
& X0 = cell64 )
| ( X1 = cell64
& X0 = cell65 )
| ( X1 = cell65
& X0 = cell66 )
| ( X1 = cell66
& X0 = cell67 )
| ( X1 = cell67
& X0 = cell68 )
| ( X1 = cell68
& X0 = cell69 )
| ( X1 = cell69
& X0 = cell70 )
| ( X1 = cell71
& X0 = cell72 )
| ( X1 = cell72
& X0 = cell73 )
| ( X1 = cell73
& X0 = cell74 )
| ( X1 = cell74
& X0 = cell75 )
| ( X1 = cell75
& X0 = cell76 )
| ( X1 = cell76
& X0 = cell77 )
| ( X1 = cell77
& X0 = cell78 )
| ( X1 = cell78
& X0 = cell79 )
| ( X1 = cell79
& X0 = cell80 )
| ( X1 = cell81
& X0 = cell82 )
| ( X1 = cell82
& X0 = cell83 )
| ( X1 = cell83
& X0 = cell84 )
| ( X1 = cell84
& X0 = cell85 )
| ( X1 = cell85
& X0 = cell86 )
| ( X1 = cell86
& X0 = cell87 )
| ( X1 = cell87
& X0 = cell88 )
| ( X1 = cell88
& X0 = cell89 )
| ( X1 = cell89
& X0 = cell90 )
| ( X1 = cell91
& X0 = cell92 )
| ( X1 = cell92
& X0 = cell93 )
| ( X1 = cell93
& X0 = cell94 )
| ( X1 = cell94
& X0 = cell95 )
| ( X1 = cell95
& X0 = cell96 )
| ( X1 = cell96
& X0 = cell97 )
| ( X1 = cell97
& X0 = cell98 )
| ( X1 = cell98
& X0 = cell99 )
| ( X1 = cell99
& X0 = cell100 )
| ( X1 = cell1
& X0 = cell11 )
| ( X1 = cell2
& X0 = cell12 )
| ( X1 = cell3
& X0 = cell13 )
| ( X1 = cell4
& X0 = cell14 )
| ( X1 = cell5
& X0 = cell15 )
| ( X1 = cell6
& X0 = cell16 )
| ( X1 = cell7
& X0 = cell17 )
| ( X1 = cell8
& X0 = cell18 )
| ( X1 = cell9
& X0 = cell19 )
| ( X1 = cell10
& X0 = cell20 )
| ( X1 = cell11
& X0 = cell21 )
| ( X1 = cell12
& X0 = cell22 )
| ( X1 = cell13
& X0 = cell23 )
| ( X1 = cell14
& X0 = cell24 )
| ( X1 = cell15
& X0 = cell25 )
| ( X1 = cell16
& X0 = cell26 )
| ( X1 = cell17
& X0 = cell27 )
| ( X1 = cell18
& X0 = cell28 )
| ( X1 = cell19
& X0 = cell29 )
| ( X1 = cell20
& X0 = cell30 )
| ( X1 = cell21
& X0 = cell31 )
| ( X1 = cell22
& X0 = cell32 )
| ( X1 = cell23
& X0 = cell33 )
| ( X1 = cell24
& X0 = cell34 )
| ( X1 = cell25
& X0 = cell35 )
| ( X1 = cell26
& X0 = cell36 )
| ( X1 = cell27
& X0 = cell37 )
| ( X1 = cell28
& X0 = cell38 )
| ( X1 = cell29
& X0 = cell39 )
| ( X1 = cell30
& X0 = cell40 )
| ( X1 = cell31
& X0 = cell41 )
| ( X1 = cell32
& X0 = cell42 )
| ( X1 = cell33
& X0 = cell43 )
| ( X1 = cell34
& X0 = cell44 )
| ( X1 = cell35
& X0 = cell45 )
| ( X1 = cell36
& X0 = cell46 )
| ( X1 = cell37
& X0 = cell47 )
| ( X1 = cell38
& X0 = cell48 )
| ( X1 = cell39
& X0 = cell49 )
| ( X1 = cell40
& X0 = cell50 )
| ( X1 = cell41
& X0 = cell51 )
| ( X1 = cell42
& X0 = cell52 )
| ( X1 = cell43
& X0 = cell53 )
| ( X1 = cell44
& X0 = cell54 )
| ( X1 = cell45
& X0 = cell55 )
| ( X1 = cell46
& X0 = cell56 )
| ( X1 = cell47
& X0 = cell57 )
| ( X1 = cell48
& X0 = cell58 )
| ( X1 = cell49
& X0 = cell59 )
| ( X1 = cell50
& X0 = cell60 )
| ( X1 = cell51
& X0 = cell61 )
| ( X1 = cell52
& X0 = cell62 )
| ( X1 = cell53
& X0 = cell63 )
| ( X1 = cell54
& X0 = cell64 )
| ( X1 = cell55
& X0 = cell65 )
| ( X1 = cell56
& X0 = cell66 )
| ( X1 = cell57
& X0 = cell67 )
| ( X1 = cell58
& X0 = cell68 )
| ( X1 = cell59
& X0 = cell69 )
| ( X1 = cell60
& X0 = cell70 )
| ( X1 = cell61
& X0 = cell71 )
| ( X1 = cell62
& X0 = cell72 )
| ( X1 = cell63
& X0 = cell73 )
| ( X1 = cell64
& X0 = cell74 )
| ( X1 = cell65
& X0 = cell75 )
| ( X1 = cell66
& X0 = cell76 )
| ( X1 = cell67
& X0 = cell77 )
| ( X1 = cell68
& X0 = cell78 )
| ( X1 = cell69
& X0 = cell79 )
| ( X1 = cell70
& X0 = cell80 )
| ( X1 = cell71
& X0 = cell81 )
| ( X1 = cell72
& X0 = cell82 )
| ( X1 = cell73
& X0 = cell83 )
| ( X1 = cell74
& X0 = cell84 )
| ( X1 = cell75
& X0 = cell85 )
| ( X1 = cell76
& X0 = cell86 )
| ( X1 = cell77
& X0 = cell87 )
| ( X1 = cell78
& X0 = cell88 )
| ( X1 = cell79
& X0 = cell89 )
| ( X1 = cell80
& X0 = cell90 )
| ( X1 = cell81
& X0 = cell91 )
| ( X1 = cell82
& X0 = cell92 )
| ( X1 = cell83
& X0 = cell93 )
| ( X1 = cell84
& X0 = cell94 )
| ( X1 = cell85
& X0 = cell95 )
| ( X1 = cell86
& X0 = cell96 )
| ( X1 = cell87
& X0 = cell97 )
| ( X1 = cell88
& X0 = cell98 )
| ( X1 = cell89
& X0 = cell99 )
| ( X1 = cell90
& X0 = cell100 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24987) ).
fof(f2,axiom,
! [X0,X1] :
( adj(X1,X0)
<=> ( edge(X1,X0)
| edge(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24988) ).
fof(f3,conjecture,
adj(cell12,cell13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24989) ).
fof(f4,negated_conjecture,
~ adj(cell12,cell13),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ adj(cell12,cell13),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( ( edge(X1,X0)
| edge(X0,X1) )
=> adj(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f7,plain,
! [X0,X1] :
( ( ( X1 = cell1
& X0 = cell2 )
| ( X1 = cell2
& X0 = cell3 )
| ( X1 = cell3
& X0 = cell4 )
| ( X1 = cell4
& X0 = cell5 )
| ( X1 = cell5
& X0 = cell6 )
| ( X1 = cell6
& X0 = cell7 )
| ( X1 = cell7
& X0 = cell8 )
| ( X1 = cell8
& X0 = cell9 )
| ( X1 = cell9
& X0 = cell10 )
| ( X1 = cell11
& X0 = cell12 )
| ( X1 = cell12
& X0 = cell13 )
| ( X1 = cell13
& X0 = cell14 )
| ( X1 = cell14
& X0 = cell15 )
| ( X1 = cell15
& X0 = cell16 )
| ( X1 = cell16
& X0 = cell17 )
| ( X1 = cell17
& X0 = cell18 )
| ( X1 = cell18
& X0 = cell19 )
| ( X1 = cell19
& X0 = cell20 )
| ( X1 = cell21
& X0 = cell22 )
| ( X1 = cell22
& X0 = cell23 )
| ( X1 = cell23
& X0 = cell24 )
| ( X1 = cell24
& X0 = cell25 )
| ( X1 = cell25
& X0 = cell26 )
| ( X1 = cell26
& X0 = cell27 )
| ( X1 = cell27
& X0 = cell28 )
| ( X1 = cell28
& X0 = cell29 )
| ( X1 = cell29
& X0 = cell30 )
| ( X1 = cell31
& X0 = cell32 )
| ( X1 = cell32
& X0 = cell33 )
| ( X1 = cell33
& X0 = cell34 )
| ( X1 = cell34
& X0 = cell35 )
| ( X1 = cell35
& X0 = cell36 )
| ( X1 = cell36
& X0 = cell37 )
| ( X1 = cell37
& X0 = cell38 )
| ( X1 = cell38
& X0 = cell39 )
| ( X1 = cell39
& X0 = cell40 )
| ( X1 = cell41
& X0 = cell42 )
| ( X1 = cell42
& X0 = cell43 )
| ( X1 = cell43
& X0 = cell44 )
| ( X1 = cell44
& X0 = cell45 )
| ( X1 = cell45
& X0 = cell46 )
| ( X1 = cell46
& X0 = cell47 )
| ( X1 = cell47
& X0 = cell48 )
| ( X1 = cell48
& X0 = cell49 )
| ( X1 = cell49
& X0 = cell50 )
| ( X1 = cell51
& X0 = cell52 )
| ( X1 = cell52
& X0 = cell53 )
| ( X1 = cell53
& X0 = cell54 )
| ( X1 = cell54
& X0 = cell55 )
| ( X1 = cell55
& X0 = cell56 )
| ( X1 = cell56
& X0 = cell57 )
| ( X1 = cell57
& X0 = cell58 )
| ( X1 = cell58
& X0 = cell59 )
| ( X1 = cell59
& X0 = cell60 )
| ( X1 = cell61
& X0 = cell62 )
| ( X1 = cell62
& X0 = cell63 )
| ( X1 = cell63
& X0 = cell64 )
| ( X1 = cell64
& X0 = cell65 )
| ( X1 = cell65
& X0 = cell66 )
| ( X1 = cell66
& X0 = cell67 )
| ( X1 = cell67
& X0 = cell68 )
| ( X1 = cell68
& X0 = cell69 )
| ( X1 = cell69
& X0 = cell70 )
| ( X1 = cell71
& X0 = cell72 )
| ( X1 = cell72
& X0 = cell73 )
| ( X1 = cell73
& X0 = cell74 )
| ( X1 = cell74
& X0 = cell75 )
| ( X1 = cell75
& X0 = cell76 )
| ( X1 = cell76
& X0 = cell77 )
| ( X1 = cell77
& X0 = cell78 )
| ( X1 = cell78
& X0 = cell79 )
| ( X1 = cell79
& X0 = cell80 )
| ( X1 = cell81
& X0 = cell82 )
| ( X1 = cell82
& X0 = cell83 )
| ( X1 = cell83
& X0 = cell84 )
| ( X1 = cell84
& X0 = cell85 )
| ( X1 = cell85
& X0 = cell86 )
| ( X1 = cell86
& X0 = cell87 )
| ( X1 = cell87
& X0 = cell88 )
| ( X1 = cell88
& X0 = cell89 )
| ( X1 = cell89
& X0 = cell90 )
| ( X1 = cell91
& X0 = cell92 )
| ( X1 = cell92
& X0 = cell93 )
| ( X1 = cell93
& X0 = cell94 )
| ( X1 = cell94
& X0 = cell95 )
| ( X1 = cell95
& X0 = cell96 )
| ( X1 = cell96
& X0 = cell97 )
| ( X1 = cell97
& X0 = cell98 )
| ( X1 = cell98
& X0 = cell99 )
| ( X1 = cell99
& X0 = cell100 )
| ( X1 = cell1
& X0 = cell11 )
| ( X1 = cell2
& X0 = cell12 )
| ( X1 = cell3
& X0 = cell13 )
| ( X1 = cell4
& X0 = cell14 )
| ( X1 = cell5
& X0 = cell15 )
| ( X1 = cell6
& X0 = cell16 )
| ( X1 = cell7
& X0 = cell17 )
| ( X1 = cell8
& X0 = cell18 )
| ( X1 = cell9
& X0 = cell19 )
| ( X1 = cell10
& X0 = cell20 )
| ( X1 = cell11
& X0 = cell21 )
| ( X1 = cell12
& X0 = cell22 )
| ( X1 = cell13
& X0 = cell23 )
| ( X1 = cell14
& X0 = cell24 )
| ( X1 = cell15
& X0 = cell25 )
| ( X1 = cell16
& X0 = cell26 )
| ( X1 = cell17
& X0 = cell27 )
| ( X1 = cell18
& X0 = cell28 )
| ( X1 = cell19
& X0 = cell29 )
| ( X1 = cell20
& X0 = cell30 )
| ( X1 = cell21
& X0 = cell31 )
| ( X1 = cell22
& X0 = cell32 )
| ( X1 = cell23
& X0 = cell33 )
| ( X1 = cell24
& X0 = cell34 )
| ( X1 = cell25
& X0 = cell35 )
| ( X1 = cell26
& X0 = cell36 )
| ( X1 = cell27
& X0 = cell37 )
| ( X1 = cell28
& X0 = cell38 )
| ( X1 = cell29
& X0 = cell39 )
| ( X1 = cell30
& X0 = cell40 )
| ( X1 = cell31
& X0 = cell41 )
| ( X1 = cell32
& X0 = cell42 )
| ( X1 = cell33
& X0 = cell43 )
| ( X1 = cell34
& X0 = cell44 )
| ( X1 = cell35
& X0 = cell45 )
| ( X1 = cell36
& X0 = cell46 )
| ( X1 = cell37
& X0 = cell47 )
| ( X1 = cell38
& X0 = cell48 )
| ( X1 = cell39
& X0 = cell49 )
| ( X1 = cell40
& X0 = cell50 )
| ( X1 = cell41
& X0 = cell51 )
| ( X1 = cell42
& X0 = cell52 )
| ( X1 = cell43
& X0 = cell53 )
| ( X1 = cell44
& X0 = cell54 )
| ( X1 = cell45
& X0 = cell55 )
| ( X1 = cell46
& X0 = cell56 )
| ( X1 = cell47
& X0 = cell57 )
| ( X1 = cell48
& X0 = cell58 )
| ( X1 = cell49
& X0 = cell59 )
| ( X1 = cell50
& X0 = cell60 )
| ( X1 = cell51
& X0 = cell61 )
| ( X1 = cell52
& X0 = cell62 )
| ( X1 = cell53
& X0 = cell63 )
| ( X1 = cell54
& X0 = cell64 )
| ( X1 = cell55
& X0 = cell65 )
| ( X1 = cell56
& X0 = cell66 )
| ( X1 = cell57
& X0 = cell67 )
| ( X1 = cell58
& X0 = cell68 )
| ( X1 = cell59
& X0 = cell69 )
| ( X1 = cell60
& X0 = cell70 )
| ( X1 = cell61
& X0 = cell71 )
| ( X1 = cell62
& X0 = cell72 )
| ( X1 = cell63
& X0 = cell73 )
| ( X1 = cell64
& X0 = cell74 )
| ( X1 = cell65
& X0 = cell75 )
| ( X1 = cell66
& X0 = cell76 )
| ( X1 = cell67
& X0 = cell77 )
| ( X1 = cell68
& X0 = cell78 )
| ( X1 = cell69
& X0 = cell79 )
| ( X1 = cell70
& X0 = cell80 )
| ( X1 = cell71
& X0 = cell81 )
| ( X1 = cell72
& X0 = cell82 )
| ( X1 = cell73
& X0 = cell83 )
| ( X1 = cell74
& X0 = cell84 )
| ( X1 = cell75
& X0 = cell85 )
| ( X1 = cell76
& X0 = cell86 )
| ( X1 = cell77
& X0 = cell87 )
| ( X1 = cell78
& X0 = cell88 )
| ( X1 = cell79
& X0 = cell89 )
| ( X1 = cell80
& X0 = cell90 )
| ( X1 = cell81
& X0 = cell91 )
| ( X1 = cell82
& X0 = cell92 )
| ( X1 = cell83
& X0 = cell93 )
| ( X1 = cell84
& X0 = cell94 )
| ( X1 = cell85
& X0 = cell95 )
| ( X1 = cell86
& X0 = cell96 )
| ( X1 = cell87
& X0 = cell97 )
| ( X1 = cell88
& X0 = cell98 )
| ( X1 = cell89
& X0 = cell99 )
| ( X1 = cell90
& X0 = cell100 ) )
=> edge(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f8,plain,
! [X0,X1] :
( edge(X1,X0)
| ( ( cell1 != X1
| cell2 != X0 )
& ( cell2 != X1
| cell3 != X0 )
& ( cell3 != X1
| cell4 != X0 )
& ( cell4 != X1
| cell5 != X0 )
& ( cell5 != X1
| cell6 != X0 )
& ( cell6 != X1
| cell7 != X0 )
& ( cell7 != X1
| cell8 != X0 )
& ( cell8 != X1
| cell9 != X0 )
& ( cell9 != X1
| cell10 != X0 )
& ( cell11 != X1
| cell12 != X0 )
& ( cell12 != X1
| cell13 != X0 )
& ( cell13 != X1
| cell14 != X0 )
& ( cell14 != X1
| cell15 != X0 )
& ( cell15 != X1
| cell16 != X0 )
& ( cell16 != X1
| cell17 != X0 )
& ( cell17 != X1
| cell18 != X0 )
& ( cell18 != X1
| cell19 != X0 )
& ( cell19 != X1
| cell20 != X0 )
& ( cell21 != X1
| cell22 != X0 )
& ( cell22 != X1
| cell23 != X0 )
& ( cell23 != X1
| cell24 != X0 )
& ( cell24 != X1
| cell25 != X0 )
& ( cell25 != X1
| cell26 != X0 )
& ( cell26 != X1
| cell27 != X0 )
& ( cell27 != X1
| cell28 != X0 )
& ( cell28 != X1
| cell29 != X0 )
& ( cell29 != X1
| cell30 != X0 )
& ( cell31 != X1
| cell32 != X0 )
& ( cell32 != X1
| cell33 != X0 )
& ( cell33 != X1
| cell34 != X0 )
& ( cell34 != X1
| cell35 != X0 )
& ( cell35 != X1
| cell36 != X0 )
& ( cell36 != X1
| cell37 != X0 )
& ( cell37 != X1
| cell38 != X0 )
& ( cell38 != X1
| cell39 != X0 )
& ( cell39 != X1
| cell40 != X0 )
& ( cell41 != X1
| cell42 != X0 )
& ( cell42 != X1
| cell43 != X0 )
& ( cell43 != X1
| cell44 != X0 )
& ( cell44 != X1
| cell45 != X0 )
& ( cell45 != X1
| cell46 != X0 )
& ( cell46 != X1
| cell47 != X0 )
& ( cell47 != X1
| cell48 != X0 )
& ( cell48 != X1
| cell49 != X0 )
& ( cell49 != X1
| cell50 != X0 )
& ( cell51 != X1
| cell52 != X0 )
& ( cell52 != X1
| cell53 != X0 )
& ( cell53 != X1
| cell54 != X0 )
& ( cell54 != X1
| cell55 != X0 )
& ( cell55 != X1
| cell56 != X0 )
& ( cell56 != X1
| cell57 != X0 )
& ( cell57 != X1
| cell58 != X0 )
& ( cell58 != X1
| cell59 != X0 )
& ( cell59 != X1
| cell60 != X0 )
& ( cell61 != X1
| cell62 != X0 )
& ( cell62 != X1
| cell63 != X0 )
& ( cell63 != X1
| cell64 != X0 )
& ( cell64 != X1
| cell65 != X0 )
& ( cell65 != X1
| cell66 != X0 )
& ( cell66 != X1
| cell67 != X0 )
& ( cell67 != X1
| cell68 != X0 )
& ( cell68 != X1
| cell69 != X0 )
& ( cell69 != X1
| cell70 != X0 )
& ( cell71 != X1
| cell72 != X0 )
& ( cell72 != X1
| cell73 != X0 )
& ( cell73 != X1
| cell74 != X0 )
& ( cell74 != X1
| cell75 != X0 )
& ( cell75 != X1
| cell76 != X0 )
& ( cell76 != X1
| cell77 != X0 )
& ( cell77 != X1
| cell78 != X0 )
& ( cell78 != X1
| cell79 != X0 )
& ( cell79 != X1
| cell80 != X0 )
& ( cell81 != X1
| cell82 != X0 )
& ( cell82 != X1
| cell83 != X0 )
& ( cell83 != X1
| cell84 != X0 )
& ( cell84 != X1
| cell85 != X0 )
& ( cell85 != X1
| cell86 != X0 )
& ( cell86 != X1
| cell87 != X0 )
& ( cell87 != X1
| cell88 != X0 )
& ( cell88 != X1
| cell89 != X0 )
& ( cell89 != X1
| cell90 != X0 )
& ( cell91 != X1
| cell92 != X0 )
& ( cell92 != X1
| cell93 != X0 )
& ( cell93 != X1
| cell94 != X0 )
& ( cell94 != X1
| cell95 != X0 )
& ( cell95 != X1
| cell96 != X0 )
& ( cell96 != X1
| cell97 != X0 )
& ( cell97 != X1
| cell98 != X0 )
& ( cell98 != X1
| cell99 != X0 )
& ( cell99 != X1
| cell100 != X0 )
& ( cell1 != X1
| cell11 != X0 )
& ( cell2 != X1
| cell12 != X0 )
& ( cell3 != X1
| cell13 != X0 )
& ( cell4 != X1
| cell14 != X0 )
& ( cell5 != X1
| cell15 != X0 )
& ( cell6 != X1
| cell16 != X0 )
& ( cell7 != X1
| cell17 != X0 )
& ( cell8 != X1
| cell18 != X0 )
& ( cell9 != X1
| cell19 != X0 )
& ( cell10 != X1
| cell20 != X0 )
& ( cell11 != X1
| cell21 != X0 )
& ( cell12 != X1
| cell22 != X0 )
& ( cell13 != X1
| cell23 != X0 )
& ( cell14 != X1
| cell24 != X0 )
& ( cell15 != X1
| cell25 != X0 )
& ( cell16 != X1
| cell26 != X0 )
& ( cell17 != X1
| cell27 != X0 )
& ( cell18 != X1
| cell28 != X0 )
& ( cell19 != X1
| cell29 != X0 )
& ( cell20 != X1
| cell30 != X0 )
& ( cell21 != X1
| cell31 != X0 )
& ( cell22 != X1
| cell32 != X0 )
& ( cell23 != X1
| cell33 != X0 )
& ( cell24 != X1
| cell34 != X0 )
& ( cell25 != X1
| cell35 != X0 )
& ( cell26 != X1
| cell36 != X0 )
& ( cell27 != X1
| cell37 != X0 )
& ( cell28 != X1
| cell38 != X0 )
& ( cell29 != X1
| cell39 != X0 )
& ( cell30 != X1
| cell40 != X0 )
& ( cell31 != X1
| cell41 != X0 )
& ( cell32 != X1
| cell42 != X0 )
& ( cell33 != X1
| cell43 != X0 )
& ( cell34 != X1
| cell44 != X0 )
& ( cell35 != X1
| cell45 != X0 )
& ( cell36 != X1
| cell46 != X0 )
& ( cell37 != X1
| cell47 != X0 )
& ( cell38 != X1
| cell48 != X0 )
& ( cell39 != X1
| cell49 != X0 )
& ( cell40 != X1
| cell50 != X0 )
& ( cell41 != X1
| cell51 != X0 )
& ( cell42 != X1
| cell52 != X0 )
& ( cell43 != X1
| cell53 != X0 )
& ( cell44 != X1
| cell54 != X0 )
& ( cell45 != X1
| cell55 != X0 )
& ( cell46 != X1
| cell56 != X0 )
& ( cell47 != X1
| cell57 != X0 )
& ( cell48 != X1
| cell58 != X0 )
& ( cell49 != X1
| cell59 != X0 )
& ( cell50 != X1
| cell60 != X0 )
& ( cell51 != X1
| cell61 != X0 )
& ( cell52 != X1
| cell62 != X0 )
& ( cell53 != X1
| cell63 != X0 )
& ( cell54 != X1
| cell64 != X0 )
& ( cell55 != X1
| cell65 != X0 )
& ( cell56 != X1
| cell66 != X0 )
& ( cell57 != X1
| cell67 != X0 )
& ( cell58 != X1
| cell68 != X0 )
& ( cell59 != X1
| cell69 != X0 )
& ( cell60 != X1
| cell70 != X0 )
& ( cell61 != X1
| cell71 != X0 )
& ( cell62 != X1
| cell72 != X0 )
& ( cell63 != X1
| cell73 != X0 )
& ( cell64 != X1
| cell74 != X0 )
& ( cell65 != X1
| cell75 != X0 )
& ( cell66 != X1
| cell76 != X0 )
& ( cell67 != X1
| cell77 != X0 )
& ( cell68 != X1
| cell78 != X0 )
& ( cell69 != X1
| cell79 != X0 )
& ( cell70 != X1
| cell80 != X0 )
& ( cell71 != X1
| cell81 != X0 )
& ( cell72 != X1
| cell82 != X0 )
& ( cell73 != X1
| cell83 != X0 )
& ( cell74 != X1
| cell84 != X0 )
& ( cell75 != X1
| cell85 != X0 )
& ( cell76 != X1
| cell86 != X0 )
& ( cell77 != X1
| cell87 != X0 )
& ( cell78 != X1
| cell88 != X0 )
& ( cell79 != X1
| cell89 != X0 )
& ( cell80 != X1
| cell90 != X0 )
& ( cell81 != X1
| cell91 != X0 )
& ( cell82 != X1
| cell92 != X0 )
& ( cell83 != X1
| cell93 != X0 )
& ( cell84 != X1
| cell94 != X0 )
& ( cell85 != X1
| cell95 != X0 )
& ( cell86 != X1
| cell96 != X0 )
& ( cell87 != X1
| cell97 != X0 )
& ( cell88 != X1
| cell98 != X0 )
& ( cell89 != X1
| cell99 != X0 )
& ( cell90 != X1
| cell100 != X0 ) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( adj(X1,X0)
| ( ~ edge(X1,X0)
& ~ edge(X0,X1) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f10,definition,
! [X1,X0] :
( ( ( cell1 != X1
| cell2 != X0 )
& ( cell2 != X1
| cell3 != X0 )
& ( cell3 != X1
| cell4 != X0 )
& ( cell4 != X1
| cell5 != X0 )
& ( cell5 != X1
| cell6 != X0 )
& ( cell6 != X1
| cell7 != X0 )
& ( cell7 != X1
| cell8 != X0 )
& ( cell8 != X1
| cell9 != X0 )
& ( cell9 != X1
| cell10 != X0 )
& ( cell11 != X1
| cell12 != X0 )
& ( cell12 != X1
| cell13 != X0 )
& ( cell13 != X1
| cell14 != X0 )
& ( cell14 != X1
| cell15 != X0 )
& ( cell15 != X1
| cell16 != X0 )
& ( cell16 != X1
| cell17 != X0 )
& ( cell17 != X1
| cell18 != X0 )
& ( cell18 != X1
| cell19 != X0 )
& ( cell19 != X1
| cell20 != X0 )
& ( cell21 != X1
| cell22 != X0 )
& ( cell22 != X1
| cell23 != X0 )
& ( cell23 != X1
| cell24 != X0 )
& ( cell24 != X1
| cell25 != X0 )
& ( cell25 != X1
| cell26 != X0 )
& ( cell26 != X1
| cell27 != X0 )
& ( cell27 != X1
| cell28 != X0 )
& ( cell28 != X1
| cell29 != X0 )
& ( cell29 != X1
| cell30 != X0 )
& ( cell31 != X1
| cell32 != X0 )
& ( cell32 != X1
| cell33 != X0 )
& ( cell33 != X1
| cell34 != X0 )
& ( cell34 != X1
| cell35 != X0 )
& ( cell35 != X1
| cell36 != X0 )
& ( cell36 != X1
| cell37 != X0 )
& ( cell37 != X1
| cell38 != X0 )
& ( cell38 != X1
| cell39 != X0 )
& ( cell39 != X1
| cell40 != X0 )
& ( cell41 != X1
| cell42 != X0 )
& ( cell42 != X1
| cell43 != X0 )
& ( cell43 != X1
| cell44 != X0 )
& ( cell44 != X1
| cell45 != X0 )
& ( cell45 != X1
| cell46 != X0 )
& ( cell46 != X1
| cell47 != X0 )
& ( cell47 != X1
| cell48 != X0 )
& ( cell48 != X1
| cell49 != X0 )
& ( cell49 != X1
| cell50 != X0 )
& ( cell51 != X1
| cell52 != X0 )
& ( cell52 != X1
| cell53 != X0 )
& ( cell53 != X1
| cell54 != X0 )
& ( cell54 != X1
| cell55 != X0 )
& ( cell55 != X1
| cell56 != X0 )
& ( cell56 != X1
| cell57 != X0 )
& ( cell57 != X1
| cell58 != X0 )
& ( cell58 != X1
| cell59 != X0 )
& ( cell59 != X1
| cell60 != X0 )
& ( cell61 != X1
| cell62 != X0 )
& ( cell62 != X1
| cell63 != X0 )
& ( cell63 != X1
| cell64 != X0 )
& ( cell64 != X1
| cell65 != X0 )
& ( cell65 != X1
| cell66 != X0 )
& ( cell66 != X1
| cell67 != X0 )
& ( cell67 != X1
| cell68 != X0 )
& ( cell68 != X1
| cell69 != X0 )
& ( cell69 != X1
| cell70 != X0 )
& ( cell71 != X1
| cell72 != X0 )
& ( cell72 != X1
| cell73 != X0 )
& ( cell73 != X1
| cell74 != X0 )
& ( cell74 != X1
| cell75 != X0 )
& ( cell75 != X1
| cell76 != X0 )
& ( cell76 != X1
| cell77 != X0 )
& ( cell77 != X1
| cell78 != X0 )
& ( cell78 != X1
| cell79 != X0 )
& ( cell79 != X1
| cell80 != X0 )
& ( cell81 != X1
| cell82 != X0 )
& ( cell82 != X1
| cell83 != X0 )
& ( cell83 != X1
| cell84 != X0 )
& ( cell84 != X1
| cell85 != X0 )
& ( cell85 != X1
| cell86 != X0 )
& ( cell86 != X1
| cell87 != X0 )
& ( cell87 != X1
| cell88 != X0 )
& ( cell88 != X1
| cell89 != X0 )
& ( cell89 != X1
| cell90 != X0 )
& ( cell91 != X1
| cell92 != X0 )
& ( cell92 != X1
| cell93 != X0 )
& ( cell93 != X1
| cell94 != X0 )
& ( cell94 != X1
| cell95 != X0 )
& ( cell95 != X1
| cell96 != X0 )
& ( cell96 != X1
| cell97 != X0 )
& ( cell97 != X1
| cell98 != X0 )
& ( cell98 != X1
| cell99 != X0 )
& ( cell99 != X1
| cell100 != X0 )
& ( cell1 != X1
| cell11 != X0 )
& ( cell2 != X1
| cell12 != X0 )
& ( cell3 != X1
| cell13 != X0 )
& ( cell4 != X1
| cell14 != X0 )
& ( cell5 != X1
| cell15 != X0 )
& ( cell6 != X1
| cell16 != X0 )
& ( cell7 != X1
| cell17 != X0 )
& ( cell8 != X1
| cell18 != X0 )
& ( cell9 != X1
| cell19 != X0 )
& ( cell10 != X1
| cell20 != X0 )
& ( cell11 != X1
| cell21 != X0 )
& ( cell12 != X1
| cell22 != X0 )
& ( cell13 != X1
| cell23 != X0 )
& ( cell14 != X1
| cell24 != X0 )
& ( cell15 != X1
| cell25 != X0 )
& ( cell16 != X1
| cell26 != X0 )
& ( cell17 != X1
| cell27 != X0 )
& ( cell18 != X1
| cell28 != X0 )
& ( cell19 != X1
| cell29 != X0 )
& ( cell20 != X1
| cell30 != X0 )
& ( cell21 != X1
| cell31 != X0 )
& ( cell22 != X1
| cell32 != X0 )
& ( cell23 != X1
| cell33 != X0 )
& ( cell24 != X1
| cell34 != X0 )
& ( cell25 != X1
| cell35 != X0 )
& ( cell26 != X1
| cell36 != X0 )
& ( cell27 != X1
| cell37 != X0 )
& ( cell28 != X1
| cell38 != X0 )
& ( cell29 != X1
| cell39 != X0 )
& ( cell30 != X1
| cell40 != X0 )
& ( cell31 != X1
| cell41 != X0 )
& ( cell32 != X1
| cell42 != X0 )
& ( cell33 != X1
| cell43 != X0 )
& ( cell34 != X1
| cell44 != X0 )
& ( cell35 != X1
| cell45 != X0 )
& ( cell36 != X1
| cell46 != X0 )
& ( cell37 != X1
| cell47 != X0 )
& ( cell38 != X1
| cell48 != X0 )
& ( cell39 != X1
| cell49 != X0 )
& ( cell40 != X1
| cell50 != X0 )
& ( cell41 != X1
| cell51 != X0 )
& ( cell42 != X1
| cell52 != X0 )
& ( cell43 != X1
| cell53 != X0 )
& ( cell44 != X1
| cell54 != X0 )
& ( cell45 != X1
| cell55 != X0 )
& ( cell46 != X1
| cell56 != X0 )
& ( cell47 != X1
| cell57 != X0 )
& ( cell48 != X1
| cell58 != X0 )
& ( cell49 != X1
| cell59 != X0 )
& ( cell50 != X1
| cell60 != X0 )
& ( cell51 != X1
| cell61 != X0 )
& ( cell52 != X1
| cell62 != X0 )
& ( cell53 != X1
| cell63 != X0 )
& ( cell54 != X1
| cell64 != X0 )
& ( cell55 != X1
| cell65 != X0 )
& ( cell56 != X1
| cell66 != X0 )
& ( cell57 != X1
| cell67 != X0 )
& ( cell58 != X1
| cell68 != X0 )
& ( cell59 != X1
| cell69 != X0 )
& ( cell60 != X1
| cell70 != X0 )
& ( cell61 != X1
| cell71 != X0 )
& ( cell62 != X1
| cell72 != X0 )
& ( cell63 != X1
| cell73 != X0 )
& ( cell64 != X1
| cell74 != X0 )
& ( cell65 != X1
| cell75 != X0 )
& ( cell66 != X1
| cell76 != X0 )
& ( cell67 != X1
| cell77 != X0 )
& ( cell68 != X1
| cell78 != X0 )
& ( cell69 != X1
| cell79 != X0 )
& ( cell70 != X1
| cell80 != X0 )
& ( cell71 != X1
| cell81 != X0 )
& ( cell72 != X1
| cell82 != X0 )
& ( cell73 != X1
| cell83 != X0 )
& ( cell74 != X1
| cell84 != X0 )
& ( cell75 != X1
| cell85 != X0 )
& ( cell76 != X1
| cell86 != X0 )
& ( cell77 != X1
| cell87 != X0 )
& ( cell78 != X1
| cell88 != X0 )
& ( cell79 != X1
| cell89 != X0 )
& ( cell80 != X1
| cell90 != X0 )
& ( cell81 != X1
| cell91 != X0 )
& ( cell82 != X1
| cell92 != X0 )
& ( cell83 != X1
| cell93 != X0 )
& ( cell84 != X1
| cell94 != X0 )
& ( cell85 != X1
| cell95 != X0 )
& ( cell86 != X1
| cell96 != X0 )
& ( cell87 != X1
| cell97 != X0 )
& ( cell88 != X1
| cell98 != X0 )
& ( cell89 != X1
| cell99 != X0 )
& ( cell90 != X1
| cell100 != X0 ) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f11,plain,
! [X0,X1] :
( edge(X1,X0)
| sP0(X1,X0) ),
inference(definition_folding,[],[f8,f10]) ).
fof(f12,plain,
! [X1,X0] :
( ( ( cell1 != X1
| cell2 != X0 )
& ( cell2 != X1
| cell3 != X0 )
& ( cell3 != X1
| cell4 != X0 )
& ( cell4 != X1
| cell5 != X0 )
& ( cell5 != X1
| cell6 != X0 )
& ( cell6 != X1
| cell7 != X0 )
& ( cell7 != X1
| cell8 != X0 )
& ( cell8 != X1
| cell9 != X0 )
& ( cell9 != X1
| cell10 != X0 )
& ( cell11 != X1
| cell12 != X0 )
& ( cell12 != X1
| cell13 != X0 )
& ( cell13 != X1
| cell14 != X0 )
& ( cell14 != X1
| cell15 != X0 )
& ( cell15 != X1
| cell16 != X0 )
& ( cell16 != X1
| cell17 != X0 )
& ( cell17 != X1
| cell18 != X0 )
& ( cell18 != X1
| cell19 != X0 )
& ( cell19 != X1
| cell20 != X0 )
& ( cell21 != X1
| cell22 != X0 )
& ( cell22 != X1
| cell23 != X0 )
& ( cell23 != X1
| cell24 != X0 )
& ( cell24 != X1
| cell25 != X0 )
& ( cell25 != X1
| cell26 != X0 )
& ( cell26 != X1
| cell27 != X0 )
& ( cell27 != X1
| cell28 != X0 )
& ( cell28 != X1
| cell29 != X0 )
& ( cell29 != X1
| cell30 != X0 )
& ( cell31 != X1
| cell32 != X0 )
& ( cell32 != X1
| cell33 != X0 )
& ( cell33 != X1
| cell34 != X0 )
& ( cell34 != X1
| cell35 != X0 )
& ( cell35 != X1
| cell36 != X0 )
& ( cell36 != X1
| cell37 != X0 )
& ( cell37 != X1
| cell38 != X0 )
& ( cell38 != X1
| cell39 != X0 )
& ( cell39 != X1
| cell40 != X0 )
& ( cell41 != X1
| cell42 != X0 )
& ( cell42 != X1
| cell43 != X0 )
& ( cell43 != X1
| cell44 != X0 )
& ( cell44 != X1
| cell45 != X0 )
& ( cell45 != X1
| cell46 != X0 )
& ( cell46 != X1
| cell47 != X0 )
& ( cell47 != X1
| cell48 != X0 )
& ( cell48 != X1
| cell49 != X0 )
& ( cell49 != X1
| cell50 != X0 )
& ( cell51 != X1
| cell52 != X0 )
& ( cell52 != X1
| cell53 != X0 )
& ( cell53 != X1
| cell54 != X0 )
& ( cell54 != X1
| cell55 != X0 )
& ( cell55 != X1
| cell56 != X0 )
& ( cell56 != X1
| cell57 != X0 )
& ( cell57 != X1
| cell58 != X0 )
& ( cell58 != X1
| cell59 != X0 )
& ( cell59 != X1
| cell60 != X0 )
& ( cell61 != X1
| cell62 != X0 )
& ( cell62 != X1
| cell63 != X0 )
& ( cell63 != X1
| cell64 != X0 )
& ( cell64 != X1
| cell65 != X0 )
& ( cell65 != X1
| cell66 != X0 )
& ( cell66 != X1
| cell67 != X0 )
& ( cell67 != X1
| cell68 != X0 )
& ( cell68 != X1
| cell69 != X0 )
& ( cell69 != X1
| cell70 != X0 )
& ( cell71 != X1
| cell72 != X0 )
& ( cell72 != X1
| cell73 != X0 )
& ( cell73 != X1
| cell74 != X0 )
& ( cell74 != X1
| cell75 != X0 )
& ( cell75 != X1
| cell76 != X0 )
& ( cell76 != X1
| cell77 != X0 )
& ( cell77 != X1
| cell78 != X0 )
& ( cell78 != X1
| cell79 != X0 )
& ( cell79 != X1
| cell80 != X0 )
& ( cell81 != X1
| cell82 != X0 )
& ( cell82 != X1
| cell83 != X0 )
& ( cell83 != X1
| cell84 != X0 )
& ( cell84 != X1
| cell85 != X0 )
& ( cell85 != X1
| cell86 != X0 )
& ( cell86 != X1
| cell87 != X0 )
& ( cell87 != X1
| cell88 != X0 )
& ( cell88 != X1
| cell89 != X0 )
& ( cell89 != X1
| cell90 != X0 )
& ( cell91 != X1
| cell92 != X0 )
& ( cell92 != X1
| cell93 != X0 )
& ( cell93 != X1
| cell94 != X0 )
& ( cell94 != X1
| cell95 != X0 )
& ( cell95 != X1
| cell96 != X0 )
& ( cell96 != X1
| cell97 != X0 )
& ( cell97 != X1
| cell98 != X0 )
& ( cell98 != X1
| cell99 != X0 )
& ( cell99 != X1
| cell100 != X0 )
& ( cell1 != X1
| cell11 != X0 )
& ( cell2 != X1
| cell12 != X0 )
& ( cell3 != X1
| cell13 != X0 )
& ( cell4 != X1
| cell14 != X0 )
& ( cell5 != X1
| cell15 != X0 )
& ( cell6 != X1
| cell16 != X0 )
& ( cell7 != X1
| cell17 != X0 )
& ( cell8 != X1
| cell18 != X0 )
& ( cell9 != X1
| cell19 != X0 )
& ( cell10 != X1
| cell20 != X0 )
& ( cell11 != X1
| cell21 != X0 )
& ( cell12 != X1
| cell22 != X0 )
& ( cell13 != X1
| cell23 != X0 )
& ( cell14 != X1
| cell24 != X0 )
& ( cell15 != X1
| cell25 != X0 )
& ( cell16 != X1
| cell26 != X0 )
& ( cell17 != X1
| cell27 != X0 )
& ( cell18 != X1
| cell28 != X0 )
& ( cell19 != X1
| cell29 != X0 )
& ( cell20 != X1
| cell30 != X0 )
& ( cell21 != X1
| cell31 != X0 )
& ( cell22 != X1
| cell32 != X0 )
& ( cell23 != X1
| cell33 != X0 )
& ( cell24 != X1
| cell34 != X0 )
& ( cell25 != X1
| cell35 != X0 )
& ( cell26 != X1
| cell36 != X0 )
& ( cell27 != X1
| cell37 != X0 )
& ( cell28 != X1
| cell38 != X0 )
& ( cell29 != X1
| cell39 != X0 )
& ( cell30 != X1
| cell40 != X0 )
& ( cell31 != X1
| cell41 != X0 )
& ( cell32 != X1
| cell42 != X0 )
& ( cell33 != X1
| cell43 != X0 )
& ( cell34 != X1
| cell44 != X0 )
& ( cell35 != X1
| cell45 != X0 )
& ( cell36 != X1
| cell46 != X0 )
& ( cell37 != X1
| cell47 != X0 )
& ( cell38 != X1
| cell48 != X0 )
& ( cell39 != X1
| cell49 != X0 )
& ( cell40 != X1
| cell50 != X0 )
& ( cell41 != X1
| cell51 != X0 )
& ( cell42 != X1
| cell52 != X0 )
& ( cell43 != X1
| cell53 != X0 )
& ( cell44 != X1
| cell54 != X0 )
& ( cell45 != X1
| cell55 != X0 )
& ( cell46 != X1
| cell56 != X0 )
& ( cell47 != X1
| cell57 != X0 )
& ( cell48 != X1
| cell58 != X0 )
& ( cell49 != X1
| cell59 != X0 )
& ( cell50 != X1
| cell60 != X0 )
& ( cell51 != X1
| cell61 != X0 )
& ( cell52 != X1
| cell62 != X0 )
& ( cell53 != X1
| cell63 != X0 )
& ( cell54 != X1
| cell64 != X0 )
& ( cell55 != X1
| cell65 != X0 )
& ( cell56 != X1
| cell66 != X0 )
& ( cell57 != X1
| cell67 != X0 )
& ( cell58 != X1
| cell68 != X0 )
& ( cell59 != X1
| cell69 != X0 )
& ( cell60 != X1
| cell70 != X0 )
& ( cell61 != X1
| cell71 != X0 )
& ( cell62 != X1
| cell72 != X0 )
& ( cell63 != X1
| cell73 != X0 )
& ( cell64 != X1
| cell74 != X0 )
& ( cell65 != X1
| cell75 != X0 )
& ( cell66 != X1
| cell76 != X0 )
& ( cell67 != X1
| cell77 != X0 )
& ( cell68 != X1
| cell78 != X0 )
& ( cell69 != X1
| cell79 != X0 )
& ( cell70 != X1
| cell80 != X0 )
& ( cell71 != X1
| cell81 != X0 )
& ( cell72 != X1
| cell82 != X0 )
& ( cell73 != X1
| cell83 != X0 )
& ( cell74 != X1
| cell84 != X0 )
& ( cell75 != X1
| cell85 != X0 )
& ( cell76 != X1
| cell86 != X0 )
& ( cell77 != X1
| cell87 != X0 )
& ( cell78 != X1
| cell88 != X0 )
& ( cell79 != X1
| cell89 != X0 )
& ( cell80 != X1
| cell90 != X0 )
& ( cell81 != X1
| cell91 != X0 )
& ( cell82 != X1
| cell92 != X0 )
& ( cell83 != X1
| cell93 != X0 )
& ( cell84 != X1
| cell94 != X0 )
& ( cell85 != X1
| cell95 != X0 )
& ( cell86 != X1
| cell96 != X0 )
& ( cell87 != X1
| cell97 != X0 )
& ( cell88 != X1
| cell98 != X0 )
& ( cell89 != X1
| cell99 != X0 )
& ( cell90 != X1
| cell100 != X0 ) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
! [X0,X1] :
( ( ( cell1 != X0
| cell2 != X1 )
& ( cell2 != X0
| cell3 != X1 )
& ( cell3 != X0
| cell4 != X1 )
& ( cell4 != X0
| cell5 != X1 )
& ( cell5 != X0
| cell6 != X1 )
& ( cell6 != X0
| cell7 != X1 )
& ( cell7 != X0
| cell8 != X1 )
& ( cell8 != X0
| cell9 != X1 )
& ( cell9 != X0
| cell10 != X1 )
& ( cell11 != X0
| cell12 != X1 )
& ( cell12 != X0
| cell13 != X1 )
& ( cell13 != X0
| cell14 != X1 )
& ( cell14 != X0
| cell15 != X1 )
& ( cell15 != X0
| cell16 != X1 )
& ( cell16 != X0
| cell17 != X1 )
& ( cell17 != X0
| cell18 != X1 )
& ( cell18 != X0
| cell19 != X1 )
& ( cell19 != X0
| cell20 != X1 )
& ( cell21 != X0
| cell22 != X1 )
& ( cell22 != X0
| cell23 != X1 )
& ( cell23 != X0
| cell24 != X1 )
& ( cell24 != X0
| cell25 != X1 )
& ( cell25 != X0
| cell26 != X1 )
& ( cell26 != X0
| cell27 != X1 )
& ( cell27 != X0
| cell28 != X1 )
& ( cell28 != X0
| cell29 != X1 )
& ( cell29 != X0
| cell30 != X1 )
& ( cell31 != X0
| cell32 != X1 )
& ( cell32 != X0
| cell33 != X1 )
& ( cell33 != X0
| cell34 != X1 )
& ( cell34 != X0
| cell35 != X1 )
& ( cell35 != X0
| cell36 != X1 )
& ( cell36 != X0
| cell37 != X1 )
& ( cell37 != X0
| cell38 != X1 )
& ( cell38 != X0
| cell39 != X1 )
& ( cell39 != X0
| cell40 != X1 )
& ( cell41 != X0
| cell42 != X1 )
& ( cell42 != X0
| cell43 != X1 )
& ( cell43 != X0
| cell44 != X1 )
& ( cell44 != X0
| cell45 != X1 )
& ( cell45 != X0
| cell46 != X1 )
& ( cell46 != X0
| cell47 != X1 )
& ( cell47 != X0
| cell48 != X1 )
& ( cell48 != X0
| cell49 != X1 )
& ( cell49 != X0
| cell50 != X1 )
& ( cell51 != X0
| cell52 != X1 )
& ( cell52 != X0
| cell53 != X1 )
& ( cell53 != X0
| cell54 != X1 )
& ( cell54 != X0
| cell55 != X1 )
& ( cell55 != X0
| cell56 != X1 )
& ( cell56 != X0
| cell57 != X1 )
& ( cell57 != X0
| cell58 != X1 )
& ( cell58 != X0
| cell59 != X1 )
& ( cell59 != X0
| cell60 != X1 )
& ( cell61 != X0
| cell62 != X1 )
& ( cell62 != X0
| cell63 != X1 )
& ( cell63 != X0
| cell64 != X1 )
& ( cell64 != X0
| cell65 != X1 )
& ( cell65 != X0
| cell66 != X1 )
& ( cell66 != X0
| cell67 != X1 )
& ( cell67 != X0
| cell68 != X1 )
& ( cell68 != X0
| cell69 != X1 )
& ( cell69 != X0
| cell70 != X1 )
& ( cell71 != X0
| cell72 != X1 )
& ( cell72 != X0
| cell73 != X1 )
& ( cell73 != X0
| cell74 != X1 )
& ( cell74 != X0
| cell75 != X1 )
& ( cell75 != X0
| cell76 != X1 )
& ( cell76 != X0
| cell77 != X1 )
& ( cell77 != X0
| cell78 != X1 )
& ( cell78 != X0
| cell79 != X1 )
& ( cell79 != X0
| cell80 != X1 )
& ( cell81 != X0
| cell82 != X1 )
& ( cell82 != X0
| cell83 != X1 )
& ( cell83 != X0
| cell84 != X1 )
& ( cell84 != X0
| cell85 != X1 )
& ( cell85 != X0
| cell86 != X1 )
& ( cell86 != X0
| cell87 != X1 )
& ( cell87 != X0
| cell88 != X1 )
& ( cell88 != X0
| cell89 != X1 )
& ( cell89 != X0
| cell90 != X1 )
& ( cell91 != X0
| cell92 != X1 )
& ( cell92 != X0
| cell93 != X1 )
& ( cell93 != X0
| cell94 != X1 )
& ( cell94 != X0
| cell95 != X1 )
& ( cell95 != X0
| cell96 != X1 )
& ( cell96 != X0
| cell97 != X1 )
& ( cell97 != X0
| cell98 != X1 )
& ( cell98 != X0
| cell99 != X1 )
& ( cell99 != X0
| cell100 != X1 )
& ( cell1 != X0
| cell11 != X1 )
& ( cell2 != X0
| cell12 != X1 )
& ( cell3 != X0
| cell13 != X1 )
& ( cell4 != X0
| cell14 != X1 )
& ( cell5 != X0
| cell15 != X1 )
& ( cell6 != X0
| cell16 != X1 )
& ( cell7 != X0
| cell17 != X1 )
& ( cell8 != X0
| cell18 != X1 )
& ( cell9 != X0
| cell19 != X1 )
& ( cell10 != X0
| cell20 != X1 )
& ( cell11 != X0
| cell21 != X1 )
& ( cell12 != X0
| cell22 != X1 )
& ( cell13 != X0
| cell23 != X1 )
& ( cell14 != X0
| cell24 != X1 )
& ( cell15 != X0
| cell25 != X1 )
& ( cell16 != X0
| cell26 != X1 )
& ( cell17 != X0
| cell27 != X1 )
& ( cell18 != X0
| cell28 != X1 )
& ( cell19 != X0
| cell29 != X1 )
& ( cell20 != X0
| cell30 != X1 )
& ( cell21 != X0
| cell31 != X1 )
& ( cell22 != X0
| cell32 != X1 )
& ( cell23 != X0
| cell33 != X1 )
& ( cell24 != X0
| cell34 != X1 )
& ( cell25 != X0
| cell35 != X1 )
& ( cell26 != X0
| cell36 != X1 )
& ( cell27 != X0
| cell37 != X1 )
& ( cell28 != X0
| cell38 != X1 )
& ( cell29 != X0
| cell39 != X1 )
& ( cell30 != X0
| cell40 != X1 )
& ( cell31 != X0
| cell41 != X1 )
& ( cell32 != X0
| cell42 != X1 )
& ( cell33 != X0
| cell43 != X1 )
& ( cell34 != X0
| cell44 != X1 )
& ( cell35 != X0
| cell45 != X1 )
& ( cell36 != X0
| cell46 != X1 )
& ( cell37 != X0
| cell47 != X1 )
& ( cell38 != X0
| cell48 != X1 )
& ( cell39 != X0
| cell49 != X1 )
& ( cell40 != X0
| cell50 != X1 )
& ( cell41 != X0
| cell51 != X1 )
& ( cell42 != X0
| cell52 != X1 )
& ( cell43 != X0
| cell53 != X1 )
& ( cell44 != X0
| cell54 != X1 )
& ( cell45 != X0
| cell55 != X1 )
& ( cell46 != X0
| cell56 != X1 )
& ( cell47 != X0
| cell57 != X1 )
& ( cell48 != X0
| cell58 != X1 )
& ( cell49 != X0
| cell59 != X1 )
& ( cell50 != X0
| cell60 != X1 )
& ( cell51 != X0
| cell61 != X1 )
& ( cell52 != X0
| cell62 != X1 )
& ( cell53 != X0
| cell63 != X1 )
& ( cell54 != X0
| cell64 != X1 )
& ( cell55 != X0
| cell65 != X1 )
& ( cell56 != X0
| cell66 != X1 )
& ( cell57 != X0
| cell67 != X1 )
& ( cell58 != X0
| cell68 != X1 )
& ( cell59 != X0
| cell69 != X1 )
& ( cell60 != X0
| cell70 != X1 )
& ( cell61 != X0
| cell71 != X1 )
& ( cell62 != X0
| cell72 != X1 )
& ( cell63 != X0
| cell73 != X1 )
& ( cell64 != X0
| cell74 != X1 )
& ( cell65 != X0
| cell75 != X1 )
& ( cell66 != X0
| cell76 != X1 )
& ( cell67 != X0
| cell77 != X1 )
& ( cell68 != X0
| cell78 != X1 )
& ( cell69 != X0
| cell79 != X1 )
& ( cell70 != X0
| cell80 != X1 )
& ( cell71 != X0
| cell81 != X1 )
& ( cell72 != X0
| cell82 != X1 )
& ( cell73 != X0
| cell83 != X1 )
& ( cell74 != X0
| cell84 != X1 )
& ( cell75 != X0
| cell85 != X1 )
& ( cell76 != X0
| cell86 != X1 )
& ( cell77 != X0
| cell87 != X1 )
& ( cell78 != X0
| cell88 != X1 )
& ( cell79 != X0
| cell89 != X1 )
& ( cell80 != X0
| cell90 != X1 )
& ( cell81 != X0
| cell91 != X1 )
& ( cell82 != X0
| cell92 != X1 )
& ( cell83 != X0
| cell93 != X1 )
& ( cell84 != X0
| cell94 != X1 )
& ( cell85 != X0
| cell95 != X1 )
& ( cell86 != X0
| cell96 != X1 )
& ( cell87 != X0
| cell97 != X1 )
& ( cell88 != X0
| cell98 != X1 )
& ( cell89 != X0
| cell99 != X1 )
& ( cell90 != X0
| cell100 != X1 ) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f12]) ).
fof(f183,plain,
! [X0,X1] :
( cell12 != X0
| cell13 != X1
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f194,plain,
! [X0,X1] :
( edge(X1,X0)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f196,plain,
! [X0,X1] :
( adj(X1,X0)
| ~ edge(X1,X0) ),
inference(cnf_transformation,[],[f9]) ).
fof(f197,plain,
~ adj(cell12,cell13),
inference(cnf_transformation,[],[f5]) ).
fof(f218,plain,
! [X1] :
( cell13 != X1
| ~ sP0(cell12,X1) ),
inference(equality_resolution,[],[f183]) ).
fof(f219,plain,
~ sP0(cell12,cell13),
inference(equality_resolution,[],[f218]) ).
fof(f559,plain,
~ edge(cell12,cell13),
inference(resolution,[],[f196,f197]) ).
fof(f561,plain,
sP0(cell12,cell13),
inference(resolution,[],[f559,f194]) ).
fof(f562,plain,
$false,
inference(resolution,[],[f561,f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ075+1 : TPTP v9.3.1. Released v3.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:41:27 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.74/1.27 % (989376)Detected formulas, will run a generic FOF schedule.
% 2.74/1.27 % (989384)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2530495290:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.74/1.27 % (989384)Refutation not found, incomplete strategy
% 2.74/1.27 % (989384)------------------------------
% 2.74/1.27 % (989384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.27 % (989384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.27 % (989384)CaDiCaL version: 2.1.3
% 2.74/1.27 % (989384)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.27 % (989384)Time elapsed: 0.0000 s
% 2.74/1.27 % (989384)Peak memory usage: 87 MB
% 2.74/1.27 % (989381)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2572451138:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.74/1.27 % (989385)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3379923914:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.74/1.27 % (989383)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=30154614:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.74/1.27 % (989382)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1709018414:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.74/1.27 % (989387)dis-21_1_sil=8000:lcm=predicate:random_seed=3211426512:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.74/1.27 % (989386)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4192865726:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.74/1.27 % (989385)Refutation not found, incomplete strategy
% 2.74/1.27 % (989385)------------------------------
% 2.74/1.27 % (989385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.74/1.27 % (989385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.74/1.27 % (989385)CaDiCaL version: 2.1.3
% 2.74/1.27 % (989385)Termination reason: Refutation not found, incomplete strategy
% 2.74/1.27 % (989385)Time elapsed: 0.001 s
% 2.74/1.27 % (989385)Peak memory usage: 87 MB
% 2.74/1.27 % (989387)First to succeed.
% 2.74/1.27 % (989386)Also succeeded, but the first one will report.
% 2.74/1.27 % (989387)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-989376"
% 2.74/1.27 % (989384)------------------------------
% 2.74/1.27 % (989384)------------------------------
% 2.74/1.27 % (989395)lrs+10_1_sil=8000:sp=occurrence:random_seed=2075809669:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.74/1.27 % (989395)Also succeeded, but the first one will report.
% 2.74/1.27 % (989385)------------------------------
% 2.74/1.27 % (989385)------------------------------
% 2.74/1.27 % (989387)Refutation found. Thanks to Tanya!
% 2.74/1.27 % SZS status Theorem for theBenchmark
% 2.74/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.46 % (989387)------------------------------
% 3.50/1.46 % (989387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (989387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (989387)CaDiCaL version: 2.1.3
% 3.50/1.46 % (989387)Termination reason: Refutation
% 3.50/1.46 % (989387)Time elapsed: 0.009 s
% 3.50/1.46 % (989387)Peak memory usage: 88 MB
% 3.50/1.46 % (989387)Instructions burned: 18 (million)
% 3.50/1.46 % (989387)------------------------------
% 3.50/1.46 % (989387)------------------------------
% 3.50/1.46 % (989376)Success in time 0.418 s
% 3.50/1.46 % Vampire exiting
%------------------------------------------------------------------------------