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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : SYN965+1 : TPTP v9.0.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 09:28:43 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    :   15 (   1 unt;   0 def)
%            Number of atoms       :   35 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   34 (  14   ~;  12   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    1 (   1 usr;   0 con; 1-1 aty)
%            Number of variables   :   26 (   2 sgn   2   !;   6   ?)

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

fof(prove_this_negated,plain,
    ~ ? [Z] :
      ! [X] :
      ? [Y] :
        ( ( p(Y,X)
         => ? [W] : p(W,Y) )
        & ( ( p(Z,Y)
            & p(Y,Z) )
         => p(Y,X) ) ),
    inference(negate_conjecture,[status(cth)],[prove_this]) ).

cnf(0,plain,
    ( p(X0,sK1(X1))
    | sP0(X1,X0) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l0,plain,
    ( p(sK1(X1_6),sK1(X1_6))
    | sP0(X1_6,sK1(X1_6)) ),
    inference(instantiation,[status(thm)],[0]) ).

cnf(2,plain,
    ( ~ p(X0,sK1(X1))
    | ~ sP0(X1,X0) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l1,plain,
    ( ~ p(sK1(X1_6),sK1(X1_6))
    | ~ sP0(X1_6,sK1(X1_6)) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(4,plain,
    ( p(X0,X1)
    | ~ sP0(X0,X1) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l2,plain,
    ( p(X1_6,sK1(X1_6))
    | ~ sP0(X1_6,sK1(X1_6)) ),
    inference(instantiation,[status(thm)],[4]) ).

cnf(l4,plain,
    ( ~ p(X1_6,sK1(X1_6))
    | ~ sP0(X1_6,X1_6) ),
    inference(instantiation,[status(thm)],[2]) ).

cnf(1,plain,
    ( ~ p(X0,X1)
    | sP0(X2,X1) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l3,plain,
    ( ~ p(sK1(X1_6),sK1(X1_6))
    | sP0(X1_6,sK1(X1_6)) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(l5,plain,
    ( ~ p(sK1(X1_6),X1_6)
    | sP0(X1_6,X1_6) ),
    inference(instantiation,[status(thm)],[1]) ).

cnf(3,plain,
    ( p(X0,X1)
    | ~ sP0(X1,X0) ),
    inference(cnf,[status(esa)],[prove_this_negated]) ).

cnf(l6,plain,
    ( p(sK1(X1_6),X1_6)
    | ~ sP0(X1_6,sK1(X1_6)) ),
    inference(instantiation,[status(thm)],[3]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l5,l6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SYN965+1 : TPTP v9.0.0. Released v3.1.0.
% 0.06/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33  % Computer : n026.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 18:52:19 EDT 2025
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % launching worker at depth: 2
% 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: 7
% 0.12/0.33  % launching worker at depth: 5
% 0.12/0.33  % launching worker at depth: 4
% 0.12/0.33  % launching worker at depth: 3
% 0.12/0.33  % launching worker at depth: 8
% 0.12/0.33  % SZS status Theorem for theBenchmark
% 0.12/0.33  % launching worker at depth: 9
% 0.12/0.33  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------