%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SYN379+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 : Wed May 31 12:46:41 EDT 2023

% Result   : Theorem 0.12s 0.35s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    1
% Syntax   : Number of formulae    :    7 (   3 unt;   0 def)
%            Number of atoms       :   19 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   20 (   8   ~;   0   |;   8   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :   27 (;  25   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ( ! [X] : big_p(X)
   => ? [Y] :
        ( ! [X,Z] : big_q(X,Y,Z)
       => ~ ! [Z] :
              ( big_p(Z)
              & ~ big_q(Y,Y,Z) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ( ! [X] : big_p(X)
     => ? [Y] :
          ( ! [X,Z] : big_q(X,Y,Z)
         => ~ ! [Z] :
                ( big_p(Z)
                & ~ big_q(Y,Y,Z) ) ) ),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,plain,
    ( ! [X] : big_p(X)
    & ! [Y] :
        ( ! [X,Z] : big_q(X,Y,Z)
        & ! [Z] :
            ( big_p(Z)
            & ~ big_q(Y,Y,Z) ) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f4,plain,
    ( ! [X] : big_p(X)
    & ! [Y,X,Z] : big_q(X,Y,Z)
    & ! [Z] : big_p(Z)
    & ! [Y,Z] : ~ big_q(Y,Y,Z) ),
    inference(miniscoping,[status(esa)],[f3]) ).

fof(f6,plain,
    ! [X0,X1,X2] : big_q(X0,X1,X2),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f8,plain,
    ! [X0,X1] : ~ big_q(X0,X0,X1),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f9,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f8,f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYN379+1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33  % Computer : n019.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 May 30 10:29:40 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Drodi V3.5.1
% 0.12/0.35  % Refutation found
% 0.12/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.36  % Elapsed time: 0.015233 seconds
% 0.12/0.36  % CPU time: 0.021722 seconds
% 0.12/0.36  % Memory used: 1.563 MB
%------------------------------------------------------------------------------