%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n006.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 20:12:51 EDT 2024

% Result   : Unsatisfiable 0.19s 0.35s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   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   :   26 (  26   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y] : add(X,Y) = add(Y,X),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z] : add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X] : add(inverse(X),X) = multiplicative_identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f12,axiom,
    ! [X] : multiply(multiplicative_identity,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f15,negated_conjecture,
    add(a,a) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f16,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f18,plain,
    ! [X0,X1,X2] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f23,plain,
    ! [X0] : add(inverse(X0),X0) = multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f25,plain,
    ! [X0] : multiply(inverse(X0),X0) = additive_identity,
    inference(cnf_transformation,[status(esa)],[f10]) ).

fof(f27,plain,
    ! [X0] : multiply(multiplicative_identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f12]) ).

fof(f28,plain,
    ! [X0] : add(X0,additive_identity) = X0,
    inference(cnf_transformation,[status(esa)],[f13]) ).

fof(f30,plain,
    add(a,a) != a,
    inference(cnf_transformation,[status(esa)],[f15]) ).

fof(f77,plain,
    ! [X0,X1] : add(multiply(inverse(X0),X1),X0) = multiply(multiplicative_identity,add(X1,X0)),
    inference(paramodulation,[status(thm)],[f23,f18]) ).

fof(f91,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f16,f77]) ).

fof(f92,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X1,X0),
    inference(forward_demodulation,[status(thm)],[f27,f91]) ).

fof(f103,plain,
    ! [X0] : add(X0,X0) = add(X0,additive_identity),
    inference(paramodulation,[status(thm)],[f25,f92]) ).

fof(f114,plain,
    ! [X0] : add(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f28,f103]) ).

fof(f115,plain,
    $false,
    inference(resolution,[status(thm)],[f114,f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : BOO004-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Mon Apr 29 22:30:05 EDT 2024
% 0.13/0.34  % CPUTime  : 
% 0.19/0.35  % Drodi V3.6.0
% 0.19/0.35  % Refutation found
% 0.19/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.36  % Elapsed time: 0.016656 seconds
% 0.19/0.36  % CPU time: 0.032552 seconds
% 0.19/0.36  % Total memory used: 2.904 MB
% 0.19/0.36  % Net memory used: 2.888 MB
%------------------------------------------------------------------------------