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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN733+1 : TPTP v9.0.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% 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 : Fri Jul 25 09:28:24 PM UTC 2025

% Result   : Theorem 0.12s 0.33s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   24 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   20 (   7   ~;   7   |;   4   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   14 (   3 sgn   2   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(y2141,plain,
    ( ! [X] :
      ? [Y] :
        ( p(X)
        & ( q(Y)
          | q(X) ) )
   => ? [Z] :
        ( p(Z)
        & q(Z) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',y2141) ).

fof(y2141_negated,plain,
    ~ ( ! [X] :
        ? [Y] :
          ( p(X)
          & ( q(Y)
            | q(X) ) )
     => ? [Z] :
          ( p(Z)
          & q(Z) ) ),
    inference(negate_conjecture,[status(cth)],[y2141]) ).

% launching worker at depth: 9
cnf(0,plain,
    p(X0),
    inference(cnf,[status(esa)],[y2141_negated]) ).

cnf(l0,plain,
    p(X0_2),
    inference(instantiation,[status(thm)],[0]) ).

cnf(2,plain,
    ( ~ q(X0)
    | ~ p(X0) ),
    inference(cnf,[status(esa)],[y2141_negated]) ).

cnf(l1,plain,
    ( ~ q(X0_2)
    | ~ p(X0_2) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(1,plain,
    ( q(X0)
    | q(sK1(X0)) ),
    inference(cnf,[status(esa)],[y2141_negated]) ).

cnf(l2,plain,
    ( q(X0_2)
    | q(sK1(X0_2)) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l3,plain,
    ( ~ q(sK1(X0_2))
    | ~ p(sK1(X0_2)) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(l4,plain,
    p(sK1(X0_2)),
    inference(instantiation,[status(thm)],[0]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN733+1 : TPTP v9.0.0. Released v2.5.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 Jul 22 17:48:34 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 7
% 0.12/0.33  % launching worker at depth: 6
% 0.12/0.33  % launching worker at depth: 1
% 0.12/0.33  % launching worker at depth: 2
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % SZS status Theorem for theBenchmark
% 0.12/0.33  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------