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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN382+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 09:27:35 PM UTC 2025

% Result   : Theorem 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% 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   ~;   6   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   14 (   3 sgn   6   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(x2134,plain,
    ( ! [Z] :
      ? [X] :
        ( ! [Y] : big_p(X,Y)
        | big_q(X,Z) )
   => ! [Y] :
      ? [X] :
        ( big_p(X,Y)
        | big_q(X,Y) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x2134) ).

fof(x2134_negated,plain,
    ~ ( ! [Z] :
        ? [X] :
          ( ! [Y] : big_p(X,Y)
          | big_q(X,Z) )
     => ! [Y] :
        ? [X] :
          ( big_p(X,Y)
          | big_q(X,Y) ) ),
    inference(negate_conjecture,[status(cth)],[x2134]) ).

cnf(0,plain,
    ( big_p(sK1(X0),X1)
    | big_q(sK1(X0),X0) ),
    inference(cnf,[status(esa)],[x2134_negated]) ).

cnf(l0,plain,
    ( big_p(sK1(sK2),sK2)
    | big_q(sK1(sK2),sK2) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(1,plain,
    ~ big_p(X0,sK2),
    inference(cnf,[status(esa)],[x2134_negated]) ).

cnf(l1,plain,
    ~ big_p(sK1(sK2),sK2),
    inference(instantiation,[status(thm)],[1]) ).

cnf(2,plain,
    ~ big_q(X0,sK2),
    inference(cnf,[status(esa)],[x2134_negated]) ).

cnf(l2,plain,
    ~ big_q(sK1(sK2),sK2),
    inference(instantiation,[status(thm)],[2]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SYN382+1 : TPTP v9.0.0. Released v2.0.0.
% 0.03/0.13  % Command  : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 22 15:58:49 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % launching worker at depth: 1
% 0.13/0.35  % launching worker at depth: 5
% 0.13/0.35  % launching worker at depth: 6
% 0.13/0.35  % launching worker at depth: 3
% 0.13/0.35  % launching worker at depth: 8
% 0.13/0.35  % launching worker at depth: 4
% 0.13/0.35  % launching worker at depth: 2
% 0.13/0.35  % launching worker at depth: 7
% 0.13/0.35  % SZS status Theorem for theBenchmark
% 0.13/0.35  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------