%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n007.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 12:30:50 EDT 2023

% Result   : Theorem 0.19s 0.56s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   9 unt;   0 def)
%            Number of atoms       :   31 (  12 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   27 (  13   ~;   9   |;   3   &)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   30 (;  25   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ? [Vd473] : vd470 = vplus(vd471,Vd473),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ ? [Vd473] : vd470 = vplus(vd471,Vd473),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    greater(vd470,vd471),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [Vd208,Vd209] :
      ( greater(Vd208,Vd209)
     => less(Vd209,Vd208) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f36,axiom,
    ! [Vd198,Vd199] :
      ( less(Vd199,Vd198)
    <=> ? [Vd201] : Vd198 = vplus(Vd199,Vd201) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f54,plain,
    ! [Vd473] : vd470 != vplus(vd471,Vd473),
    inference(pre_NNF_transformation,[status(esa)],[f2]) ).

fof(f55,plain,
    ! [X0] : vd470 != vplus(vd471,X0),
    inference(cnf_transformation,[status(esa)],[f54]) ).

fof(f56,plain,
    greater(vd470,vd471),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f122,plain,
    ! [Vd208,Vd209] :
      ( ~ greater(Vd208,Vd209)
      | less(Vd209,Vd208) ),
    inference(pre_NNF_transformation,[status(esa)],[f31]) ).

fof(f123,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | less(X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f122]) ).

fof(f128,plain,
    ! [Vd198,Vd199] :
      ( ( ~ less(Vd199,Vd198)
        | ? [Vd201] : Vd198 = vplus(Vd199,Vd201) )
      & ( less(Vd199,Vd198)
        | ! [Vd201] : Vd198 != vplus(Vd199,Vd201) ) ),
    inference(NNF_transformation,[status(esa)],[f36]) ).

fof(f129,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)],[f128]) ).

fof(f130,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)],[f129]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ~ less(X0,X1)
      | X1 = vplus(X0,sk0_0(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f130]) ).

fof(f1308,plain,
    less(vd471,vd470),
    inference(resolution,[status(thm)],[f123,f56]) ).

fof(f2916,plain,
    ~ less(vd471,vd470),
    inference(resolution,[status(thm)],[f131,f55]) ).

fof(f2917,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2916,f1308]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM850+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n007.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 09:39:02 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.56  % Refutation found
% 0.19/0.56  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.56  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.56  % Elapsed time: 0.212345 seconds
% 0.19/0.56  % CPU time: 1.191897 seconds
% 0.19/0.56  % Memory used: 66.811 MB
%------------------------------------------------------------------------------