%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% 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 : Tue Apr 30 20:40:41 EDT 2024

% Result   : Theorem 0.17s 0.35s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   19 (  10 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   15 (   8   ~;   2   |;   2   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   12 (  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,conjecture,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
     => in(B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,negated_conjecture,
    ~ ! [A,B] :
        ( set_intersection2(A,singleton(B)) = singleton(B)
       => in(B,A) ),
    inference(negated_conjecture,[status(cth)],[f6]) ).

fof(f8,axiom,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
     => in(B,A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f18,plain,
    ? [A,B] :
      ( set_intersection2(A,singleton(B)) = singleton(B)
      & ~ in(B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f19,plain,
    ( set_intersection2(sk0_2,singleton(sk0_3)) = singleton(sk0_3)
    & ~ in(sk0_3,sk0_2) ),
    inference(skolemization,[status(esa)],[f18]) ).

fof(f20,plain,
    set_intersection2(sk0_2,singleton(sk0_3)) = singleton(sk0_3),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f21,plain,
    ~ in(sk0_3,sk0_2),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f22,plain,
    ! [A,B] :
      ( set_intersection2(A,singleton(B)) != singleton(B)
      | in(B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f23,plain,
    ! [X0,X1] :
      ( set_intersection2(X0,singleton(X1)) != singleton(X1)
      | in(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f22]) ).

fof(f24,plain,
    set_intersection2(sk0_2,singleton(sk0_3)) != singleton(sk0_3),
    inference(resolution,[status(thm)],[f23,f21]) ).

fof(f25,plain,
    singleton(sk0_3) != singleton(sk0_3),
    inference(forward_demodulation,[status(thm)],[f20,f24]) ).

fof(f26,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET910+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33  % Computer : n029.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Mon Apr 29 22:06:04 EDT 2024
% 0.11/0.33  % CPUTime  : 
% 0.17/0.34  % Drodi V3.6.0
% 0.17/0.35  % Refutation found
% 0.17/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.37  % Elapsed time: 0.020049 seconds
% 0.17/0.37  % CPU time: 0.020222 seconds
% 0.17/0.37  % Total memory used: 5.805 MB
% 0.17/0.37  % Net memory used: 5.694 MB
%------------------------------------------------------------------------------