↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV074+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n019.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 04:46:02 PM UTC 2025

% Result   : Theorem 0.12s 0.34s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   9 unt;   0 def)
%            Number of atoms       :   33 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :   29 (   9   ~;   6   |;  12   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0015,plain,
    ( ( leq(n0,pv31)
      & leq(n0,pv36)
      & leq(pv31,minus(n5,n1))
      & leq(pv36,minus(n135300,n1)) )
   => ( leq(n0,pv31)
      & leq(n0,pv36)
      & leq(pv31,minus(n5,n1))
      & leq(pv36,minus(n135300,n1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0015) ).

fof(cl5_nebula_array_0015_negated,plain,
    ~ ( ( leq(n0,pv31)
        & leq(n0,pv36)
        & leq(pv31,minus(n5,n1))
        & leq(pv36,minus(n135300,n1)) )
     => ( leq(n0,pv31)
        & leq(n0,pv36)
        & leq(pv31,minus(n5,n1))
        & leq(pv36,minus(n135300,n1)) ) ),
    inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0015]) ).

cnf(115,plain,
    leq(n0,pv31),
    inference(cnf,[status(esa)],[cl5_nebula_array_0015_negated]) ).

cnf(l0,plain,
    leq(n0,pv31),
    inference(instantiation,[status(thm)],[115]) ).

cnf(119,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(n0,pv36)
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(pv36,minus(n135300,n1)) ),
    inference(cnf,[status(esa)],[cl5_nebula_array_0015_negated]) ).

cnf(l1,plain,
    ( ~ leq(n0,pv31)
    | ~ leq(n0,pv36)
    | ~ leq(pv31,minus(n5,n1))
    | ~ leq(pv36,minus(n135300,n1)) ),
    inference(instantiation,[status(thm)],[119]) ).

cnf(117,plain,
    leq(pv31,minus(n5,n1)),
    inference(cnf,[status(esa)],[cl5_nebula_array_0015_negated]) ).

cnf(l3,plain,
    leq(pv31,minus(n5,n1)),
    inference(instantiation,[status(thm)],[117]) ).

cnf(116,plain,
    leq(n0,pv36),
    inference(cnf,[status(esa)],[cl5_nebula_array_0015_negated]) ).

cnf(l2,plain,
    leq(n0,pv36),
    inference(instantiation,[status(thm)],[116]) ).

cnf(118,plain,
    leq(pv36,minus(n135300,n1)),
    inference(cnf,[status(esa)],[cl5_nebula_array_0015_negated]) ).

cnf(l4,plain,
    leq(pv36,minus(n135300,n1)),
    inference(instantiation,[status(thm)],[118]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV074+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.03/0.12  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n019.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 Jul 22 08:10:04 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % launching worker at depth: 4
% 0.12/0.34  % launching worker at depth: 1
% 0.12/0.34  % launching worker at depth: 8
% 0.12/0.34  % launching worker at depth: 3
% 0.12/0.34  % launching worker at depth: 6
% 0.12/0.34  % launching worker at depth: 5
% 0.12/0.34  % launching worker at depth: 7
% 0.12/0.34  % launching worker at depth: 2
% 0.12/0.34  % SZS status Theorem for theBenchmark
% 0.12/0.34  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------