%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : SET573+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 12:34:41 EDT 2023

% Result   : Theorem 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   61 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   67 (  27   ~;  19   |;  17   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   47 (;  38   !;   9   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [B,C] :
      ( intersect(B,C)
    <=> ? [D] :
          ( member(D,B)
          & member(D,C) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [B,C] :
      ( disjoint(B,C)
    <=> ~ intersect(B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,conjecture,
    ! [B,C,D] :
      ( ( member(B,C)
        & disjoint(C,D) )
     => ~ member(B,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    ~ ! [B,C,D] :
        ( ( member(B,C)
          & disjoint(C,D) )
       => ~ member(B,D) ),
    inference(negated_conjecture,[status(cth)],[f4]) ).

fof(f6,plain,
    ! [B,C] :
      ( ( ~ intersect(B,C)
        | ? [D] :
            ( member(D,B)
            & member(D,C) ) )
      & ( intersect(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | ~ member(D,C) ) ) ),
    inference(NNF_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ( ! [B,C] :
        ( ~ intersect(B,C)
        | ? [D] :
            ( member(D,B)
            & member(D,C) ) )
    & ! [B,C] :
        ( intersect(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | ~ member(D,C) ) ) ),
    inference(miniscoping,[status(esa)],[f6]) ).

fof(f8,plain,
    ( ! [B,C] :
        ( ~ intersect(B,C)
        | ( member(sk0_0(C,B),B)
          & member(sk0_0(C,B),C) ) )
    & ! [B,C] :
        ( intersect(B,C)
        | ! [D] :
            ( ~ member(D,B)
            | ~ member(D,C) ) ) ),
    inference(skolemization,[status(esa)],[f7]) ).

fof(f11,plain,
    ! [X0,X1,X2] :
      ( intersect(X0,X1)
      | ~ member(X2,X0)
      | ~ member(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f12,plain,
    ! [B,C] :
      ( ( ~ disjoint(B,C)
        | ~ intersect(B,C) )
      & ( disjoint(B,C)
        | intersect(B,C) ) ),
    inference(NNF_transformation,[status(esa)],[f2]) ).

fof(f13,plain,
    ( ! [B,C] :
        ( ~ disjoint(B,C)
        | ~ intersect(B,C) )
    & ! [B,C] :
        ( disjoint(B,C)
        | intersect(B,C) ) ),
    inference(miniscoping,[status(esa)],[f12]) ).

fof(f14,plain,
    ! [X0,X1] :
      ( ~ disjoint(X0,X1)
      | ~ intersect(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f18,plain,
    ? [B,C,D] :
      ( member(B,C)
      & disjoint(C,D)
      & member(B,D) ),
    inference(pre_NNF_transformation,[status(esa)],[f5]) ).

fof(f19,plain,
    ? [B,D] :
      ( ? [C] :
          ( member(B,C)
          & disjoint(C,D) )
      & member(B,D) ),
    inference(miniscoping,[status(esa)],[f18]) ).

fof(f20,plain,
    ( member(sk0_1,sk0_3)
    & disjoint(sk0_3,sk0_2)
    & member(sk0_1,sk0_2) ),
    inference(skolemization,[status(esa)],[f19]) ).

fof(f21,plain,
    member(sk0_1,sk0_3),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f22,plain,
    disjoint(sk0_3,sk0_2),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f23,plain,
    member(sk0_1,sk0_2),
    inference(cnf_transformation,[status(esa)],[f20]) ).

fof(f24,plain,
    ! [X0,X1,X2] :
      ( ~ member(X0,X1)
      | ~ member(X0,X2)
      | ~ disjoint(X1,X2) ),
    inference(resolution,[status(thm)],[f11,f14]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ member(sk0_1,X0)
      | ~ disjoint(X0,sk0_2) ),
    inference(resolution,[status(thm)],[f24,f23]) ).

fof(f29,plain,
    ~ member(sk0_1,sk0_3),
    inference(resolution,[status(thm)],[f25,f22]) ).

fof(f30,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f29,f21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SET573+3 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n020.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 10:14:13 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.58  % Elapsed time: 0.014532 seconds
% 0.20/0.58  % CPU time: 0.027442 seconds
% 0.20/0.58  % Memory used: 1.845 MB
%------------------------------------------------------------------------------