↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : PUZ075+1 : TPTP v9.0.0. Released v3.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 : Fri Jul 25 01:24:36 PM UTC 2025

% Result   : Theorem 0.19s 0.45s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :  379 ( 364 equ)
%            Maximal formula atoms :  361 (  34 avg)
%            Number of connectives :  377 (   9   ~; 186   |; 180   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  184 (  19 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :  100 ( 100 usr; 100 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(tlhfof24989,plain,
    adj(cell12,cell13),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24989) ).

fof(tlhfof24989_negated,plain,
    ~ adj(cell12,cell13),
    inference(negate_conjecture,[status(cth)],[tlhfof24989]) ).

cnf(543,plain,
    ~ adj(cell12,cell13),
    inference(cnf,[status(esa)],[tlhfof24989_negated]) ).

cnf(l0,plain,
    ~ adj(cell12,cell13),
    inference(instantiation,[status(thm)],[543]) ).

fof(tlhfof24988,plain,
    ! [Y,X] :
      ( adj(X,Y)
    <=> ( edge(X,Y)
        | edge(Y,X) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24988) ).

cnf(541,plain,
    ( ~ edge(X0,X1)
    | adj(X0,X1) ),
    inference(cnf,[status(esa)],[tlhfof24988]) ).

cnf(l1,plain,
    ( ~ edge(cell12,cell13)
    | adj(cell12,cell13) ),
    inference(instantiation,[status(thm)],[541]) ).

fof(tlhfof24987,plain,
    ! [TLH24985,TLH24986] :
      ( edge(TLH24986,TLH24985)
    <=> ( ( TLH24986 = cell1
          & TLH24985 = cell2 )
        | ( TLH24986 = cell2
          & TLH24985 = cell3 )
        | ( TLH24986 = cell3
          & TLH24985 = cell4 )
        | ( TLH24986 = cell4
          & TLH24985 = cell5 )
        | ( TLH24986 = cell5
          & TLH24985 = cell6 )
        | ( TLH24986 = cell6
          & TLH24985 = cell7 )
        | ( TLH24986 = cell7
          & TLH24985 = cell8 )
        | ( TLH24986 = cell8
          & TLH24985 = cell9 )
        | ( TLH24986 = cell9
          & TLH24985 = cell10 )
        | ( TLH24986 = cell11
          & TLH24985 = cell12 )
        | ( TLH24986 = cell12
          & TLH24985 = cell13 )
        | ( TLH24986 = cell13
          & TLH24985 = cell14 )
        | ( TLH24986 = cell14
          & TLH24985 = cell15 )
        | ( TLH24986 = cell15
          & TLH24985 = cell16 )
        | ( TLH24986 = cell16
          & TLH24985 = cell17 )
        | ( TLH24986 = cell17
          & TLH24985 = cell18 )
        | ( TLH24986 = cell18
          & TLH24985 = cell19 )
        | ( TLH24986 = cell19
          & TLH24985 = cell20 )
        | ( TLH24986 = cell21
          & TLH24985 = cell22 )
        | ( TLH24986 = cell22
          & TLH24985 = cell23 )
        | ( TLH24986 = cell23
          & TLH24985 = cell24 )
        | ( TLH24986 = cell24
          & TLH24985 = cell25 )
        | ( TLH24986 = cell25
          & TLH24985 = cell26 )
        | ( TLH24986 = cell26
          & TLH24985 = cell27 )
        | ( TLH24986 = cell27
          & TLH24985 = cell28 )
        | ( TLH24986 = cell28
          & TLH24985 = cell29 )
        | ( TLH24986 = cell29
          & TLH24985 = cell30 )
        | ( TLH24986 = cell31
          & TLH24985 = cell32 )
        | ( TLH24986 = cell32
          & TLH24985 = cell33 )
        | ( TLH24986 = cell33
          & TLH24985 = cell34 )
        | ( TLH24986 = cell34
          & TLH24985 = cell35 )
        | ( TLH24986 = cell35
          & TLH24985 = cell36 )
        | ( TLH24986 = cell36
          & TLH24985 = cell37 )
        | ( TLH24986 = cell37
          & TLH24985 = cell38 )
        | ( TLH24986 = cell38
          & TLH24985 = cell39 )
        | ( TLH24986 = cell39
          & TLH24985 = cell40 )
        | ( TLH24986 = cell41
          & TLH24985 = cell42 )
        | ( TLH24986 = cell42
          & TLH24985 = cell43 )
        | ( TLH24986 = cell43
          & TLH24985 = cell44 )
        | ( TLH24986 = cell44
          & TLH24985 = cell45 )
        | ( TLH24986 = cell45
          & TLH24985 = cell46 )
        | ( TLH24986 = cell46
          & TLH24985 = cell47 )
        | ( TLH24986 = cell47
          & TLH24985 = cell48 )
        | ( TLH24986 = cell48
          & TLH24985 = cell49 )
        | ( TLH24986 = cell49
          & TLH24985 = cell50 )
        | ( TLH24986 = cell51
          & TLH24985 = cell52 )
        | ( TLH24986 = cell52
          & TLH24985 = cell53 )
        | ( TLH24986 = cell53
          & TLH24985 = cell54 )
        | ( TLH24986 = cell54
          & TLH24985 = cell55 )
        | ( TLH24986 = cell55
          & TLH24985 = cell56 )
        | ( TLH24986 = cell56
          & TLH24985 = cell57 )
        | ( TLH24986 = cell57
          & TLH24985 = cell58 )
        | ( TLH24986 = cell58
          & TLH24985 = cell59 )
        | ( TLH24986 = cell59
          & TLH24985 = cell60 )
        | ( TLH24986 = cell61
          & TLH24985 = cell62 )
        | ( TLH24986 = cell62
          & TLH24985 = cell63 )
        | ( TLH24986 = cell63
          & TLH24985 = cell64 )
        | ( TLH24986 = cell64
          & TLH24985 = cell65 )
        | ( TLH24986 = cell65
          & TLH24985 = cell66 )
        | ( TLH24986 = cell66
          & TLH24985 = cell67 )
        | ( TLH24986 = cell67
          & TLH24985 = cell68 )
        | ( TLH24986 = cell68
          & TLH24985 = cell69 )
        | ( TLH24986 = cell69
          & TLH24985 = cell70 )
        | ( TLH24986 = cell71
          & TLH24985 = cell72 )
        | ( TLH24986 = cell72
          & TLH24985 = cell73 )
        | ( TLH24986 = cell73
          & TLH24985 = cell74 )
        | ( TLH24986 = cell74
          & TLH24985 = cell75 )
        | ( TLH24986 = cell75
          & TLH24985 = cell76 )
        | ( TLH24986 = cell76
          & TLH24985 = cell77 )
        | ( TLH24986 = cell77
          & TLH24985 = cell78 )
        | ( TLH24986 = cell78
          & TLH24985 = cell79 )
        | ( TLH24986 = cell79
          & TLH24985 = cell80 )
        | ( TLH24986 = cell81
          & TLH24985 = cell82 )
        | ( TLH24986 = cell82
          & TLH24985 = cell83 )
        | ( TLH24986 = cell83
          & TLH24985 = cell84 )
        | ( TLH24986 = cell84
          & TLH24985 = cell85 )
        | ( TLH24986 = cell85
          & TLH24985 = cell86 )
        | ( TLH24986 = cell86
          & TLH24985 = cell87 )
        | ( TLH24986 = cell87
          & TLH24985 = cell88 )
        | ( TLH24986 = cell88
          & TLH24985 = cell89 )
        | ( TLH24986 = cell89
          & TLH24985 = cell90 )
        | ( TLH24986 = cell91
          & TLH24985 = cell92 )
        | ( TLH24986 = cell92
          & TLH24985 = cell93 )
        | ( TLH24986 = cell93
          & TLH24985 = cell94 )
        | ( TLH24986 = cell94
          & TLH24985 = cell95 )
        | ( TLH24986 = cell95
          & TLH24985 = cell96 )
        | ( TLH24986 = cell96
          & TLH24985 = cell97 )
        | ( TLH24986 = cell97
          & TLH24985 = cell98 )
        | ( TLH24986 = cell98
          & TLH24985 = cell99 )
        | ( TLH24986 = cell99
          & TLH24985 = cell100 )
        | ( TLH24986 = cell1
          & TLH24985 = cell11 )
        | ( TLH24986 = cell2
          & TLH24985 = cell12 )
        | ( TLH24986 = cell3
          & TLH24985 = cell13 )
        | ( TLH24986 = cell4
          & TLH24985 = cell14 )
        | ( TLH24986 = cell5
          & TLH24985 = cell15 )
        | ( TLH24986 = cell6
          & TLH24985 = cell16 )
        | ( TLH24986 = cell7
          & TLH24985 = cell17 )
        | ( TLH24986 = cell8
          & TLH24985 = cell18 )
        | ( TLH24986 = cell9
          & TLH24985 = cell19 )
        | ( TLH24986 = cell10
          & TLH24985 = cell20 )
        | ( TLH24986 = cell11
          & TLH24985 = cell21 )
        | ( TLH24986 = cell12
          & TLH24985 = cell22 )
        | ( TLH24986 = cell13
          & TLH24985 = cell23 )
        | ( TLH24986 = cell14
          & TLH24985 = cell24 )
        | ( TLH24986 = cell15
          & TLH24985 = cell25 )
        | ( TLH24986 = cell16
          & TLH24985 = cell26 )
        | ( TLH24986 = cell17
          & TLH24985 = cell27 )
        | ( TLH24986 = cell18
          & TLH24985 = cell28 )
        | ( TLH24986 = cell19
          & TLH24985 = cell29 )
        | ( TLH24986 = cell20
          & TLH24985 = cell30 )
        | ( TLH24986 = cell21
          & TLH24985 = cell31 )
        | ( TLH24986 = cell22
          & TLH24985 = cell32 )
        | ( TLH24986 = cell23
          & TLH24985 = cell33 )
        | ( TLH24986 = cell24
          & TLH24985 = cell34 )
        | ( TLH24986 = cell25
          & TLH24985 = cell35 )
        | ( TLH24986 = cell26
          & TLH24985 = cell36 )
        | ( TLH24986 = cell27
          & TLH24985 = cell37 )
        | ( TLH24986 = cell28
          & TLH24985 = cell38 )
        | ( TLH24986 = cell29
          & TLH24985 = cell39 )
        | ( TLH24986 = cell30
          & TLH24985 = cell40 )
        | ( TLH24986 = cell31
          & TLH24985 = cell41 )
        | ( TLH24986 = cell32
          & TLH24985 = cell42 )
        | ( TLH24986 = cell33
          & TLH24985 = cell43 )
        | ( TLH24986 = cell34
          & TLH24985 = cell44 )
        | ( TLH24986 = cell35
          & TLH24985 = cell45 )
        | ( TLH24986 = cell36
          & TLH24985 = cell46 )
        | ( TLH24986 = cell37
          & TLH24985 = cell47 )
        | ( TLH24986 = cell38
          & TLH24985 = cell48 )
        | ( TLH24986 = cell39
          & TLH24985 = cell49 )
        | ( TLH24986 = cell40
          & TLH24985 = cell50 )
        | ( TLH24986 = cell41
          & TLH24985 = cell51 )
        | ( TLH24986 = cell42
          & TLH24985 = cell52 )
        | ( TLH24986 = cell43
          & TLH24985 = cell53 )
        | ( TLH24986 = cell44
          & TLH24985 = cell54 )
        | ( TLH24986 = cell45
          & TLH24985 = cell55 )
        | ( TLH24986 = cell46
          & TLH24985 = cell56 )
        | ( TLH24986 = cell47
          & TLH24985 = cell57 )
        | ( TLH24986 = cell48
          & TLH24985 = cell58 )
        | ( TLH24986 = cell49
          & TLH24985 = cell59 )
        | ( TLH24986 = cell50
          & TLH24985 = cell60 )
        | ( TLH24986 = cell51
          & TLH24985 = cell61 )
        | ( TLH24986 = cell52
          & TLH24985 = cell62 )
        | ( TLH24986 = cell53
          & TLH24985 = cell63 )
        | ( TLH24986 = cell54
          & TLH24985 = cell64 )
        | ( TLH24986 = cell55
          & TLH24985 = cell65 )
        | ( TLH24986 = cell56
          & TLH24985 = cell66 )
        | ( TLH24986 = cell57
          & TLH24985 = cell67 )
        | ( TLH24986 = cell58
          & TLH24985 = cell68 )
        | ( TLH24986 = cell59
          & TLH24985 = cell69 )
        | ( TLH24986 = cell60
          & TLH24985 = cell70 )
        | ( TLH24986 = cell61
          & TLH24985 = cell71 )
        | ( TLH24986 = cell62
          & TLH24985 = cell72 )
        | ( TLH24986 = cell63
          & TLH24985 = cell73 )
        | ( TLH24986 = cell64
          & TLH24985 = cell74 )
        | ( TLH24986 = cell65
          & TLH24985 = cell75 )
        | ( TLH24986 = cell66
          & TLH24985 = cell76 )
        | ( TLH24986 = cell67
          & TLH24985 = cell77 )
        | ( TLH24986 = cell68
          & TLH24985 = cell78 )
        | ( TLH24986 = cell69
          & TLH24985 = cell79 )
        | ( TLH24986 = cell70
          & TLH24985 = cell80 )
        | ( TLH24986 = cell71
          & TLH24985 = cell81 )
        | ( TLH24986 = cell72
          & TLH24985 = cell82 )
        | ( TLH24986 = cell73
          & TLH24985 = cell83 )
        | ( TLH24986 = cell74
          & TLH24985 = cell84 )
        | ( TLH24986 = cell75
          & TLH24985 = cell85 )
        | ( TLH24986 = cell76
          & TLH24985 = cell86 )
        | ( TLH24986 = cell77
          & TLH24985 = cell87 )
        | ( TLH24986 = cell78
          & TLH24985 = cell88 )
        | ( TLH24986 = cell79
          & TLH24985 = cell89 )
        | ( TLH24986 = cell80
          & TLH24985 = cell90 )
        | ( TLH24986 = cell81
          & TLH24985 = cell91 )
        | ( TLH24986 = cell82
          & TLH24985 = cell92 )
        | ( TLH24986 = cell83
          & TLH24985 = cell93 )
        | ( TLH24986 = cell84
          & TLH24985 = cell94 )
        | ( TLH24986 = cell85
          & TLH24985 = cell95 )
        | ( TLH24986 = cell86
          & TLH24985 = cell96 )
        | ( TLH24986 = cell87
          & TLH24985 = cell97 )
        | ( TLH24986 = cell88
          & TLH24985 = cell98 )
        | ( TLH24986 = cell89
          & TLH24985 = cell99 )
        | ( TLH24986 = cell90
          & TLH24985 = cell100 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tlhfof24987) ).

cnf(12,plain,
    ( X0 != cell13
    | X1 != cell12
    | edge(X1,X0) ),
    inference(cnf,[status(esa)],[tlhfof24987]) ).

cnf(l2,plain,
    ( cell13 != cell13
    | cell12 != cell12
    | edge(cell12,cell13) ),
    inference(instantiation,[status(thm)],[12]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : PUZ075+1 : TPTP v9.0.0. Released v3.5.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n031.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 : Mon Jul 21 16:09:04 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.35  % launching worker at depth: 1
% 0.12/0.35  % launching worker at depth: 4
% 0.12/0.35  % launching worker at depth: 3
% 0.12/0.35  % launching worker at depth: 2
% 0.12/0.35  % launching worker at depth: 6
% 0.12/0.35  % launching worker at depth: 7
% 0.12/0.35  % launching worker at depth: 8
% 0.12/0.35  % launching worker at depth: 5
% 0.12/0.35  % launching worker at depth: 9
% 0.12/0.36  % launching worker at depth: 10
% 0.19/0.45  % SZS status Theorem for theBenchmark
% 0.19/0.45  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------