%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n017.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 12:30:48 EDT 2023

% Result   : Theorem 0.16s 0.33s
% Output   : CNFRefutation 0.16s
% 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 :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    4 (;   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
    inference(negated_conjecture,[status(cth)],[f1]) ).

fof(f3,axiom,
    vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f47,axiom,
    ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f57,plain,
    vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f58,plain,
    vmul(vd436,vsucc(vplus(vd437,vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f59,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) = vmul(vd436,vsucc(vplus(vd437,vd439))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f60,plain,
    vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f154,plain,
    ! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
    inference(cnf_transformation,[status(esa)],[f47]) ).

fof(f178,plain,
    vmul(vd436,vsucc(vplus(vd437,vd439))) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
    inference(backward_demodulation,[status(thm)],[f58,f57]) ).

fof(f209,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vmul(vd436,vplus(vd437,vd439)),vd436),
    inference(backward_demodulation,[status(thm)],[f59,f58]) ).

fof(f210,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) = vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
    inference(forward_demodulation,[status(thm)],[f154,f209]) ).

fof(f242,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
    inference(forward_demodulation,[status(thm)],[f59,f178]) ).

fof(f243,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vd436,vplus(vmul(vd436,vd437),vmul(vd436,vd439))),
    inference(forward_demodulation,[status(thm)],[f154,f242]) ).

fof(f244,plain,
    vmul(vd436,vplus(vd437,vsucc(vd439))) != vplus(vd436,vmul(vd436,vplus(vd437,vd439))),
    inference(forward_demodulation,[status(thm)],[f60,f243]) ).

fof(f310,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f210,f244]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM846+1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n017.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Tue May 30 09:23:40 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.16/0.32  % Drodi V3.5.1
% 0.16/0.33  % Refutation found
% 0.16/0.33  % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55  % Elapsed time: 0.024417 seconds
% 0.16/0.55  % CPU time: 0.017205 seconds
% 0.16/0.55  % Memory used: 3.834 MB
%------------------------------------------------------------------------------