%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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 20:35:56 EDT 2024

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   18 (  18 unt;   0 def)
%            Number of atoms       :   18 (  17 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    6 (   6   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   16 (  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    vmul(vplus(vd471,vd473),vd469) = vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    vd470 = vplus(vd471,vd473),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [Vd432,Vd433,Vd434] : vmul(Vd432,vplus(Vd433,Vd434)) = vplus(vmul(Vd432,Vd433),vmul(Vd432,Vd434)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [Vd418,Vd419] : vmul(Vd418,Vd419) = vmul(Vd419,Vd418),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f56,plain,
    vmul(vplus(vd471,vd473),vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f57,plain,
    vmul(vd470,vd469) = vmul(vplus(vd471,vd473),vd469),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f58,plain,
    vd470 = vplus(vd471,vd473),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f61,plain,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X0,X1),vmul(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f62,plain,
    ! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f177,plain,
    vmul(vd470,vd469) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(backward_demodulation,[status(thm)],[f57,f56]) ).

fof(f178,plain,
    vmul(vd469,vd470) != vplus(vmul(vd471,vd469),vmul(vd473,vd469)),
    inference(forward_demodulation,[status(thm)],[f62,f177]) ).

fof(f304,plain,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X1,X0),vmul(X0,X2)),
    inference(paramodulation,[status(thm)],[f62,f61]) ).

fof(f1452,plain,
    ! [X0,X1,X2] : vmul(X0,vplus(X1,X2)) = vplus(vmul(X1,X0),vmul(X2,X0)),
    inference(paramodulation,[status(thm)],[f62,f304]) ).

fof(f1501,plain,
    vmul(vd469,vd470) != vmul(vd469,vplus(vd471,vd473)),
    inference(backward_demodulation,[status(thm)],[f1452,f178]) ).

fof(f1502,plain,
    vmul(vd469,vd470) != vmul(vd469,vd470),
    inference(forward_demodulation,[status(thm)],[f58,f1501]) ).

fof(f1503,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f1502]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : NUM851+1 : TPTP v8.1.2. Released v4.1.0.
% 0.08/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Mon Apr 29 21:26:32 EDT 2024
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.6.0
% 0.19/0.49  % Refutation found
% 0.19/0.49  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.50  % Elapsed time: 0.158296 seconds
% 0.19/0.50  % CPU time: 1.146926 seconds
% 0.19/0.50  % Total memory used: 73.594 MB
% 0.19/0.50  % Net memory used: 73.302 MB
%------------------------------------------------------------------------------