%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO006-2 : TPTP v8.1.2. Released v1.0.0.
% 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 20:12:51 EDT 2024

% Result   : Unsatisfiable 0.15s 0.31s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (  22   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X,Y] : multiply(X,Y) = multiply(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y,Z] : multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

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

fof(f14,axiom,
    ! [X] : add(additive_identity,X) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,negated_conjecture,
    multiply(a,additive_identity) != additive_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f20,plain,
    ! [X0,X1,X2] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f5]) ).

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

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

fof(f29,plain,
    ! [X0] : add(additive_identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f14]) ).

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

fof(f31,plain,
    multiply(additive_identity,a) != additive_identity,
    inference(forward_demodulation,[status(thm)],[f17,f30]) ).

fof(f76,plain,
    ! [X0,X1] : multiply(add(inverse(X0),X1),X0) = add(additive_identity,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f25,f20]) ).

fof(f77,plain,
    ! [X0,X1] : multiply(add(inverse(X0),X1),X0) = multiply(X1,X0),
    inference(forward_demodulation,[status(thm)],[f29,f76]) ).

fof(f107,plain,
    ! [X0] : multiply(inverse(X0),X0) = multiply(additive_identity,X0),
    inference(paramodulation,[status(thm)],[f28,f77]) ).

fof(f108,plain,
    ! [X0] : additive_identity = multiply(additive_identity,X0),
    inference(forward_demodulation,[status(thm)],[f25,f107]) ).

fof(f124,plain,
    additive_identity != additive_identity,
    inference(backward_demodulation,[status(thm)],[f108,f31]) ).

fof(f125,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f124]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09  % Problem  : BOO006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30  % Computer : n009.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit : 300
% 0.09/0.30  % WCLimit  : 300
% 0.09/0.30  % DateTime : Mon Apr 29 22:30:10 EDT 2024
% 0.09/0.30  % CPUTime  : 
% 0.09/0.30  % Drodi V3.6.0
% 0.15/0.31  % Refutation found
% 0.15/0.31  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.31  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.32  % Elapsed time: 0.013730 seconds
% 0.15/0.32  % CPU time: 0.043481 seconds
% 0.15/0.32  % Total memory used: 3.667 MB
% 0.15/0.32  % Net memory used: 3.639 MB
%------------------------------------------------------------------------------