%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 0.13s 0.35s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (   4 unt;   0 def)
%            Number of atoms       :   18 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   2   |;   5   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   12 (  10   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,conjecture,
    ! [A,B] :
      ~ ( disjoint(singleton(A),B)
        & in(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    ~ ! [A,B] :
        ~ ( disjoint(singleton(A),B)
          & in(A,B) ),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,axiom,
    ! [A,B] :
      ~ ( disjoint(singleton(A),B)
        & in(A,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ? [A,B] :
      ( disjoint(singleton(A),B)
      & in(A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f6]) ).

fof(f17,plain,
    ( disjoint(singleton(sk0_2),sk0_3)
    & in(sk0_2,sk0_3) ),
    inference(skolemization,[status(esa)],[f16]) ).

fof(f18,plain,
    disjoint(singleton(sk0_2),sk0_3),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f19,plain,
    in(sk0_2,sk0_3),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f20,plain,
    ! [A,B] :
      ( ~ disjoint(singleton(A),B)
      | ~ in(A,B) ),
    inference(pre_NNF_transformation,[status(esa)],[f7]) ).

fof(f21,plain,
    ! [X0,X1] :
      ( ~ disjoint(singleton(X0),X1)
      | ~ in(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f25,plain,
    ~ in(sk0_2,sk0_3),
    inference(resolution,[status(thm)],[f21,f18]) ).

fof(f26,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f25,f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET913+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n013.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 : Mon Apr 29 21:24:19 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.35  % Refutation found
% 0.13/0.35  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.36  % Elapsed time: 0.016213 seconds
% 0.13/0.36  % CPU time: 0.016748 seconds
% 0.13/0.36  % Total memory used: 3.650 MB
% 0.13/0.36  % Net memory used: 3.554 MB
%------------------------------------------------------------------------------