%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n011.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 20:34:35 EDT 2024

% Result   : Theorem 0.15s 0.37s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  10 unt;   0 def)
%            Number of atoms       :   16 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   12 (   9   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-1 aty)
%            Number of variables   :   11 (  10   !;   1   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B] :
      ( in(A,B)
     => ~ in(B,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    ! [A] : in(A,succ(A)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,conjecture,
    ! [A] : A != succ(A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,negated_conjecture,
    ~ ! [A] : A != succ(A),
    inference(negated_conjecture,[status(cth)],[f27]) ).

fof(f35,plain,
    ! [A,B] :
      ( ~ in(A,B)
      | ~ in(B,A) ),
    inference(pre_NNF_transformation,[status(esa)],[f1]) ).

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

fof(f98,plain,
    ! [X0] : in(X0,succ(X0)),
    inference(cnf_transformation,[status(esa)],[f26]) ).

fof(f99,plain,
    ? [A] : A = succ(A),
    inference(pre_NNF_transformation,[status(esa)],[f28]) ).

fof(f100,plain,
    sk0_11 = succ(sk0_11),
    inference(skolemization,[status(esa)],[f99]) ).

fof(f101,plain,
    sk0_11 = succ(sk0_11),
    inference(cnf_transformation,[status(esa)],[f100]) ).

fof(f116,plain,
    in(sk0_11,sk0_11),
    inference(paramodulation,[status(thm)],[f101,f98]) ).

fof(f117,plain,
    ~ in(sk0_11,sk0_11),
    inference(resolution,[status(thm)],[f36,f116]) ).

fof(f118,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f117,f116]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% 0.04/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35  % Computer : n011.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Mon Apr 29 20:43:01 EDT 2024
% 0.15/0.35  % CPUTime  : 
% 0.15/0.36  % Drodi V3.6.0
% 0.15/0.37  % Refutation found
% 0.15/0.37  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/0.38  % Elapsed time: 0.020055 seconds
% 0.22/0.38  % CPU time: 0.023560 seconds
% 0.22/0.38  % Total memory used: 9.135 MB
% 0.22/0.38  % Net memory used: 9.103 MB
%------------------------------------------------------------------------------