↑ Up

hopCoP---0.1.THM-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SWV070+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 : n028.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 04:46:01 PM UTC 2025

% Result   : Theorem 0.14s 0.35s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    9 (   5 unt;   0 def)
%            Number of atoms       :   17 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   5   ~;   2   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(cl5_nebula_array_0011,plain,
    ( ( leq(n0,pv10)
      & leq(pv10,minus(n135300,n1)) )
   => ( leq(n0,pv10)
      & leq(pv10,minus(n135300,n1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cl5_nebula_array_0011) ).

fof(cl5_nebula_array_0011_negated,plain,
    ~ ( ( leq(n0,pv10)
        & leq(pv10,minus(n135300,n1)) )
     => ( leq(n0,pv10)
        & leq(pv10,minus(n135300,n1)) ) ),
    inference(negate_conjecture,[status(cth)],[cl5_nebula_array_0011]) ).

cnf(115,plain,
    leq(n0,pv10),
    inference(cnf,[status(esa)],[cl5_nebula_array_0011_negated]) ).

cnf(l0,plain,
    leq(n0,pv10),
    inference(instantiation,[status(thm)],[115]) ).

cnf(117,plain,
    ( ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1)) ),
    inference(cnf,[status(esa)],[cl5_nebula_array_0011_negated]) ).

cnf(l1,plain,
    ( ~ leq(n0,pv10)
    | ~ leq(pv10,minus(n135300,n1)) ),
    inference(instantiation,[status(thm)],[117]) ).

cnf(116,plain,
    leq(pv10,minus(n135300,n1)),
    inference(cnf,[status(esa)],[cl5_nebula_array_0011_negated]) ).

cnf(l2,plain,
    leq(pv10,minus(n135300,n1)),
    inference(instantiation,[status(thm)],[116]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV070+1 : TPTP v9.0.0. Bugfixed v3.3.0.
% 0.07/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue Jul 22 08:09:19 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % launching worker at depth: 1
% 0.14/0.35  % launching worker at depth: 4
% 0.14/0.35  % launching worker at depth: 2
% 0.14/0.35  % launching worker at depth: 3
% 0.14/0.35  % launching worker at depth: 5
% 0.14/0.35  % launching worker at depth: 6
% 0.14/0.35  % launching worker at depth: 7
% 0.14/0.35  % launching worker at depth: 8
% 0.14/0.35  % SZS status Theorem for theBenchmark
% 0.14/0.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------