%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n014.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 20:41:04 EDT 2024

% Result   : Theorem 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   9 unt;   0 def)
%            Number of atoms       :   45 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   48 (  23   ~;  15   |;   7   &)
%                                         (   2 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   36 (  33   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( in(C,A)
         => in(C,B) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    empty(empty_set),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,conjecture,
    ! [A] : subset(empty_set,A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    ~ ! [A] : subset(empty_set,A),
    inference(negated_conjecture,[status(cth)],[f8]) ).

fof(f11,axiom,
    ! [A,B] :
      ~ ( in(A,B)
        & empty(B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,plain,
    ! [A,B] :
      ( subset(A,B)
    <=> ! [C] :
          ( ~ in(C,A)
          | in(C,B) ) ),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f16,plain,
    ! [A,B] :
      ( ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
      & ( subset(A,B)
        | ? [C] :
            ( in(C,A)
            & ~ in(C,B) ) ) ),
    inference(NNF_transformation,[status(esa)],[f15]) ).

fof(f17,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ? [C] :
            ( in(C,A)
            & ~ in(C,B) ) ) ),
    inference(miniscoping,[status(esa)],[f16]) ).

fof(f18,plain,
    ( ! [A,B] :
        ( ~ subset(A,B)
        | ! [C] :
            ( ~ in(C,A)
            | in(C,B) ) )
    & ! [A,B] :
        ( subset(A,B)
        | ( in(sk0_0(B,A),A)
          & ~ in(sk0_0(B,A),B) ) ) ),
    inference(skolemization,[status(esa)],[f17]) ).

fof(f20,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | in(sk0_0(X1,X0),X0) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f22,plain,
    empty(empty_set),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f29,plain,
    ? [A] : ~ subset(empty_set,A),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f30,plain,
    ~ subset(empty_set,sk0_3),
    inference(skolemization,[status(esa)],[f29]) ).

fof(f31,plain,
    ~ subset(empty_set,sk0_3),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f34,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | ~ empty(B) ),
    inference(pre_NNF_transformation,[status(esa)],[f11]) ).

fof(f35,plain,
    ! [B] :
      ( ! [A] : ~ in(A,B)
      | ~ empty(B) ),
    inference(miniscoping,[status(esa)],[f34]) ).

fof(f36,plain,
    ! [X0,X1] :
      ( ~ in(X0,X1)
      | ~ empty(X1) ),
    inference(cnf_transformation,[status(esa)],[f35]) ).

fof(f45,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
      | ~ empty(X0) ),
    inference(resolution,[status(thm)],[f20,f36]) ).

fof(f47,plain,
    ~ empty(empty_set),
    inference(resolution,[status(thm)],[f45,f31]) ).

fof(f48,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f47,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU122+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 19:42:34 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 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
% 0.13/0.38  % Elapsed time: 0.021036 seconds
% 0.13/0.38  % CPU time: 0.036779 seconds
% 0.13/0.38  % Total memory used: 11.069 MB
% 0.13/0.38  % Net memory used: 10.983 MB
%------------------------------------------------------------------------------