%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n009.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 20:35:57 EDT 2024

% Result   : Theorem 0.18s 0.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   20 (  17 unt;   0 def)
%            Number of atoms       :   23 (   8 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    8 (   5   ~;   2   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    greater(vmul(vd481,vd469),vmul(vd480,vd469)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    ~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    greater(vd481,vd480),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [Vd470,Vd471] :
      ( greater(Vd470,Vd471)
     => Vd470 = vplus(Vd471,vskolem9(Vd470,Vd471)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f12,axiom,
    ! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    ! [Vd295,Vd296] : greater(vplus(Vd295,Vd296),Vd295),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f60,plain,
    ~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f61,plain,
    greater(vd481,vd480),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f71,plain,
    ! [Vd470,Vd471] :
      ( ~ greater(Vd470,Vd471)
      | Vd470 = vplus(Vd471,vskolem9(Vd470,Vd471)) ),
    inference(pre_NNF_transformation,[status(esa)],[f9]) ).

fof(f72,plain,
    ! [X0,X1] :
      ( ~ greater(X0,X1)
      | X0 = vplus(X1,vskolem9(X0,X1)) ),
    inference(cnf_transformation,[status(esa)],[f71]) ).

fof(f74,plain,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f11]) ).

fof(f75,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f111,plain,
    ! [X0,X1] : greater(vplus(X0,X1),X0),
    inference(cnf_transformation,[status(esa)],[f28]) ).

fof(f201,plain,
    ~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
    inference(paramodulation,[status(thm)],[f75,f60]) ).

fof(f553,plain,
    ! [X0,X1,X2] : greater(vmul(X0,vplus(X1,X2)),vmul(X0,X1)),
    inference(paramodulation,[status(thm)],[f74,f111]) ).

fof(f762,plain,
    vd481 = vplus(vd480,vskolem9(vd481,vd480)),
    inference(resolution,[status(thm)],[f72,f61]) ).

fof(f1088,plain,
    ! [X0] : greater(vmul(X0,vd481),vmul(X0,vd480)),
    inference(paramodulation,[status(thm)],[f762,f553]) ).

fof(f1262,plain,
    ! [X0] : greater(vmul(vd481,X0),vmul(X0,vd480)),
    inference(paramodulation,[status(thm)],[f75,f1088]) ).

fof(f1263,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f201,f1262]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : NUM852+1 : TPTP v8.1.2. Released v4.1.0.
% 0.09/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34  % Computer : n009.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Mon Apr 29 23:14:56 EDT 2024
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Drodi V3.6.0
% 0.18/0.51  % Refutation found
% 0.18/0.51  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.51  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.52  % Elapsed time: 0.163985 seconds
% 0.18/0.52  % CPU time: 1.204165 seconds
% 0.18/0.52  % Total memory used: 73.458 MB
% 0.18/0.52  % Net memory used: 73.196 MB
%------------------------------------------------------------------------------