%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM837+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n032.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 20:35:53 EDT 2024

% Result   : Theorem 0.10s 0.36s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   8 unt;   0 def)
%            Number of atoms       :   24 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   22 (  11   ~;   7   |;   3   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 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   :   24 (  19   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [Vd273] : vd269 = vplus(vd268,Vd273),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ? [Vd273] : vd269 = vplus(vd268,Vd273),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f4,axiom,
    less(vd268,vd269),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [Vd198,Vd199] :
      ( less(Vd199,Vd198)
    <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f24,plain,
    ! [Vd273] : vd269 != vplus(vd268,Vd273),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f25,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f27,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f50,plain,
    ! [Vd198,Vd199] :
      ( ( ~ less(Vd199,Vd198)
        | ? [Vd201] : Vd198 = vplus(Vd199,Vd201) )
      & ( less(Vd199,Vd198)
        | ! [Vd201] : Vd198 != vplus(Vd199,Vd201) ) ),
    inference(NNF_transformation,[status(esa)],[f15]) ).

fof(f51,plain,
    ( ! [Vd198,Vd199] :
        ( ~ less(Vd199,Vd198)
        | ? [Vd201] : Vd198 = vplus(Vd199,Vd201) )
    & ! [Vd198,Vd199] :
        ( less(Vd199,Vd198)
        | ! [Vd201] : Vd198 != vplus(Vd199,Vd201) ) ),
    inference(miniscoping,[status(esa)],[f50]) ).

fof(f52,plain,
    ( ! [Vd198,Vd199] :
        ( ~ less(Vd199,Vd198)
        | Vd198 = vplus(Vd199,sk0_0(Vd199,Vd198)) )
    & ! [Vd198,Vd199] :
        ( less(Vd199,Vd198)
        | ! [Vd201] : Vd198 != vplus(Vd199,Vd201) ) ),
    inference(skolemization,[status(esa)],[f51]) ).

fof(f53,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 = vplus(X0,sk0_0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f52]) ).

fof(f392,plain,
    ~ less(vd268,vd269),
    inference(resolution,[status(thm)],[f53,f25]) ).

fof(f393,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f392,f27]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : NUM837+2 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.34  % Computer : n032.cluster.edu
% 0.10/0.34  % Model    : x86_64 x86_64
% 0.10/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.34  % Memory   : 8042.1875MB
% 0.10/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.34  % CPULimit : 300
% 0.10/0.34  % WCLimit  : 300
% 0.10/0.34  % DateTime : Mon Apr 29 21:32:20 EDT 2024
% 0.10/0.34  % CPUTime  : 
% 0.10/0.35  % Drodi V3.6.0
% 0.10/0.36  % Refutation found
% 0.10/0.36  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.37  % Elapsed time: 0.023017 seconds
% 0.10/0.37  % CPU time: 0.047848 seconds
% 0.10/0.37  % Total memory used: 15.274 MB
% 0.10/0.37  % Net memory used: 15.247 MB
%------------------------------------------------------------------------------