%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n022.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 20:37:44 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   14 (  14 unt;   0 def)
%            Number of atoms       :   14 (  13 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X] : add(additive_inverse(X),X) = additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [X,Y] : add(X,Y) = add(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    ! [X,Y] : multiply(multiply(X,X),Y) = multiply(X,multiply(X,Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X,Y,Z] : associator(X,Y,Z) = add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,negated_conjecture,
    associator(x,x,y) != additive_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f21,plain,
    ! [X0] : add(additive_inverse(X0),X0) = additive_identity,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f26,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f29,plain,
    ! [X0,X1] : multiply(multiply(X0,X0),X1) = multiply(X0,multiply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f30,plain,
    ! [X0,X1,X2] : associator(X0,X1,X2) = add(multiply(multiply(X0,X1),X2),additive_inverse(multiply(X0,multiply(X1,X2)))),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f32,plain,
    associator(x,x,y) != additive_identity,
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f33,plain,
    ! [X0] : add(X0,additive_inverse(X0)) = additive_identity,
    inference(backward_demodulation,[status(thm)],[f26,f21]) ).

fof(f155,plain,
    ! [X0,X1] : associator(X0,X0,X1) = add(multiply(X0,multiply(X0,X1)),additive_inverse(multiply(X0,multiply(X0,X1)))),
    inference(paramodulation,[status(thm)],[f29,f30]) ).

fof(f167,plain,
    ! [X0,X1] : associator(X0,X0,X1) = additive_identity,
    inference(forward_demodulation,[status(thm)],[f33,f155]) ).

fof(f168,plain,
    $false,
    inference(resolution,[status(thm)],[f167,f32]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG023-6 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Mon Apr 29 22:14:58 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  % Drodi V3.6.0
% 0.13/0.37  % Refutation found
% 0.13/0.37  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.37  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.39  % Elapsed time: 0.022203 seconds
% 0.19/0.39  % CPU time: 0.062287 seconds
% 0.19/0.39  % Total memory used: 3.761 MB
% 0.19/0.39  % Net memory used: 3.727 MB
%------------------------------------------------------------------------------