%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n016.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 0.09s 0.33s
% Output   : CNFRefutation 0.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   15 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   3   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   12 (  12   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    greater(vd301,vd302),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Vd310,Vd311,Vd312] :
      ( greater(Vd311,Vd312)
     => greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f46,plain,
    ~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f47,plain,
    greater(vd301,vd302),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f60,plain,
    ! [Vd310,Vd311,Vd312] :
      ( ~ greater(Vd311,Vd312)
      | greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
    inference(pre_NNF_transformation,[status(esa)],[f8]) ).

fof(f61,plain,
    ! [Vd311,Vd312] :
      ( ~ greater(Vd311,Vd312)
      | ! [Vd310] : greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
    inference(miniscoping,[status(esa)],[f60]) ).

fof(f62,plain,
    ! [X0,X1,X2] :
      ( ~ greater(X0,X1)
      | greater(vplus(X0,X2),vplus(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f61]) ).

fof(f178,plain,
    ~ greater(vd301,vd302),
    inference(resolution,[status(thm)],[f62,f46]) ).

fof(f179,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f178,f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : NUM838+1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.32  % Computer : n016.cluster.edu
% 0.09/0.32  % Model    : x86_64 x86_64
% 0.09/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.32  % Memory   : 8042.1875MB
% 0.09/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.32  % CPULimit : 300
% 0.09/0.32  % WCLimit  : 300
% 0.09/0.32  % DateTime : Mon Apr 29 21:29:55 EDT 2024
% 0.09/0.32  % CPUTime  : 
% 0.09/0.33  % Drodi V3.6.0
% 0.09/0.33  % Refutation found
% 0.09/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35  % Elapsed time: 0.020320 seconds
% 0.15/0.35  % CPU time: 0.015448 seconds
% 0.15/0.35  % Total memory used: 5.562 MB
% 0.15/0.35  % Net memory used: 5.554 MB
%------------------------------------------------------------------------------