%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : SEU137+2 : 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 20:41:08 EDT 2024

% Result   : Theorem 0.17s 0.36s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   7 unt;   0 def)
%            Number of atoms       :   21 (  11 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 (   1 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   :   16 (  14   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f25,lemma,
    ! [A,B] :
      ( subset(A,B)
     => set_union2(A,B) = B ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,lemma,
    ! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f43,conjecture,
    ! [A,B] :
      ( subset(A,B)
     => B = set_union2(A,set_difference(B,A)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f44,negated_conjecture,
    ~ ! [A,B] :
        ( subset(A,B)
       => B = set_union2(A,set_difference(B,A)) ),
    inference(negated_conjecture,[status(cth)],[f43]) ).

fof(f127,plain,
    ! [A,B] :
      ( ~ subset(A,B)
      | set_union2(A,B) = B ),
    inference(pre_NNF_transformation,[status(esa)],[f25]) ).

fof(f128,plain,
    ! [X0,X1] :
      ( ~ subset(X0,X1)
      | set_union2(X0,X1) = X1 ),
    inference(cnf_transformation,[status(esa)],[f127]) ).

fof(f156,plain,
    ! [X0,X1] : set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f167,plain,
    ? [A,B] :
      ( subset(A,B)
      & B != set_union2(A,set_difference(B,A)) ),
    inference(pre_NNF_transformation,[status(esa)],[f44]) ).

fof(f168,plain,
    ( subset(sk0_9,sk0_10)
    & sk0_10 != set_union2(sk0_9,set_difference(sk0_10,sk0_9)) ),
    inference(skolemization,[status(esa)],[f167]) ).

fof(f169,plain,
    subset(sk0_9,sk0_10),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f170,plain,
    sk0_10 != set_union2(sk0_9,set_difference(sk0_10,sk0_9)),
    inference(cnf_transformation,[status(esa)],[f168]) ).

fof(f329,plain,
    sk0_10 != set_union2(sk0_9,sk0_10),
    inference(backward_demodulation,[status(thm)],[f156,f170]) ).

fof(f343,plain,
    ~ subset(sk0_9,sk0_10),
    inference(resolution,[status(thm)],[f329,f128]) ).

fof(f344,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f343,f169]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU137+2 : TPTP v8.1.2. Released v3.3.0.
% 0.10/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n014.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 19:43:34 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.17/0.35  % Drodi V3.6.0
% 0.17/0.36  % Refutation found
% 0.17/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.38  % Elapsed time: 0.023872 seconds
% 0.17/0.38  % CPU time: 0.040465 seconds
% 0.17/0.38  % Total memory used: 13.460 MB
% 0.17/0.38  % Net memory used: 13.426 MB
%------------------------------------------------------------------------------