%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% 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 : Wed May 31 12:35:32 EDT 2023

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   18 (   8 unt;   0 def)
%            Number of atoms       :   28 (  11 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   22 (  12   ~;   6   |;   2   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (;  20   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] : set_intersection2(A,B) = set_intersection2(B,A),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [A,B] :
      ( ~ in(A,B)
     => disjoint(singleton(A),B) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [A,B] :
      ( in(A,B)
     => set_intersection2(B,singleton(A)) = singleton(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,conjecture,
    ! [A,B] :
      ( disjoint(singleton(A),B)
      | set_intersection2(singleton(A),B) = singleton(A) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,negated_conjecture,
    ~ ! [A,B] :
        ( disjoint(singleton(A),B)
        | set_intersection2(singleton(A),B) = singleton(A) ),
    inference(negated_conjecture,[status(cth)],[f9]) ).

fof(f13,plain,
    ! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    ! [A,B] :
      ( in(A,B)
      | disjoint(singleton(A),B) ),
    inference(pre_NNF_transformation,[status(esa)],[f4]) ).

fof(f17,plain,
    ! [X0,X1] :
      ( in(X0,X1)
      | disjoint(singleton(X0),X1) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f18,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | set_intersection2(B,singleton(A)) = singleton(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f19,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | set_intersection2(X1,singleton(X0)) = singleton(X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f26,plain,
    ? [A,B] :
      ( ~ disjoint(singleton(A),B)
      & set_intersection2(singleton(A),B) != singleton(A) ),
    inference(pre_NNF_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ( ~ disjoint(singleton(sk0_2),sk0_3)
    & set_intersection2(singleton(sk0_2),sk0_3) != singleton(sk0_2) ),
    inference(skolemization,[status(esa)],[f26]) ).

fof(f28,plain,
    ~ disjoint(singleton(sk0_2),sk0_3),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f29,plain,
    set_intersection2(singleton(sk0_2),sk0_3) != singleton(sk0_2),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f30,plain,
    set_intersection2(sk0_3,singleton(sk0_2)) != singleton(sk0_2),
    inference(paramodulation,[status(thm)],[f13,f29]) ).

fof(f32,plain,
    in(sk0_2,sk0_3),
    inference(resolution,[status(thm)],[f17,f28]) ).

fof(f36,plain,
    ~ in(sk0_2,sk0_3),
    inference(resolution,[status(thm)],[f19,f30]) ).

fof(f37,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f36,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n031.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 : Tue May 30 10:40:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.021883 seconds
% 0.13/0.37  % CPU time: 0.028439 seconds
% 0.13/0.37  % Memory used: 14.211 MB
%------------------------------------------------------------------------------