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hopCoP---0.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : hopCoP---0.1
% Problem  : GEO086+1 : TPTP v9.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n031.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 : Thu Jul 24 01:38:06 PM UTC 2025

% Result   : Theorem 0.20s 0.47s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   23 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   7   ~;   4   |;   3   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    8 (   0 sgn   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(theorem_2_7_2,plain,
    ! [C,Cpp] :
      ( ( open(C)
        & part_of(Cpp,C) )
     => open(Cpp) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',theorem_2_7_2) ).

fof(theorem_2_7_2_negated,plain,
    ~ ! [C,Cpp] :
        ( ( open(C)
          & part_of(Cpp,C) )
       => open(Cpp) ),
    inference(negate_conjecture,[status(cth)],[theorem_2_7_2]) ).

cnf(45,plain,
    open(sK15),
    inference(cnf,[status(esa)],[theorem_2_7_2_negated]) ).

cnf(l0,plain,
    open(sK15),
    inference(instantiation,[status(thm)],[45]) ).

cnf(47,plain,
    ~ open(sK16),
    inference(cnf,[status(esa)],[theorem_2_7_2_negated]) ).

cnf(l3,plain,
    ~ open(sK16),
    inference(instantiation,[status(thm)],[47]) ).

fof(c1,plain,
    ! [C,C1] :
      ( ( part_of(C1,C)
        & C1 != C )
     => open(C1) ),
    file('Axioms/GEO004+0.ax',c1) ).

cnf(33,plain,
    ( ~ part_of(X0,X1)
    | X0 = X1
    | open(X0) ),
    inference(cnf,[status(esa)],[c1]) ).

cnf(l4,plain,
    ( ~ part_of(sK16,sK15)
    | sK16 = sK15
    | open(sK16) ),
    inference(instantiation,[status(thm)],[33]) ).

cnf(46,plain,
    part_of(sK16,sK15),
    inference(cnf,[status(esa)],[theorem_2_7_2_negated]) ).

cnf(l6,plain,
    part_of(sK16,sK15),
    inference(instantiation,[status(thm)],[46]) ).

cnf(l7,plain,
    ~ open(sK16),
    inference(instantiation,[status(thm)],[47]) ).

cnf(final,plain,
    $false,
    inference(ground_refutation,[status(thm)],[l0,l3,l4,l6,l7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GEO086+1 : TPTP v9.0.0. Released v2.4.0.
% 0.11/0.12  % Command  : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Sun Jul 20 10:59:34 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.34  % launching worker at depth: 1
% 0.13/0.34  % launching worker at depth: 3
% 0.13/0.34  % launching worker at depth: 4
% 0.13/0.34  % launching worker at depth: 2
% 0.13/0.34  % launching worker at depth: 5
% 0.13/0.34  % launching worker at depth: 6
% 0.13/0.34  % launching worker at depth: 7
% 0.13/0.34  % launching worker at depth: 8
% 0.13/0.34  % launching worker at depth: 9
% 0.13/0.34  % launching worker at depth: 10
% 0.20/0.47  % SZS status Theorem for theBenchmark
% 0.20/0.47  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------