%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 12:30:46 EDT 2023

% Result   : Theorem 0.19s 0.38s
% Output   : CNFRefutation 0.19s
% 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/sandbox/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/sandbox/benchmark/theBenchmark.p') ).

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

fof(f33,plain,
    ! [Vd273] : vd269 != vplus(vd268,Vd273),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f34,plain,
    ! [X0] : vd269 != vplus(vd268,X0),
    inference(cnf_transformation,[status(esa)],[f33]) ).

fof(f36,plain,
    less(vd268,vd269),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f59,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(f60,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)],[f59]) ).

fof(f61,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)],[f60]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 = vplus(X0,sk0_0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f467,plain,
    ~ less(vd268,vd269),
    inference(resolution,[status(thm)],[f62,f34]) ).

fof(f468,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f467,f36]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : NUM837+1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:14:34 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.38  % Refutation found
% 0.19/0.38  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.38  % Elapsed time: 0.028888 seconds
% 0.19/0.38  % CPU time: 0.070996 seconds
% 0.19/0.38  % Memory used: 14.886 MB
%------------------------------------------------------------------------------