%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO001-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n015.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 20:12:49 EDT 2024

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            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 :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-3 aty)
%            Number of variables   :   39 (  39   !;   0   ?)

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

fof(f2,axiom,
    ! [Y,X] : multiply(Y,X,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

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

fof(f4,axiom,
    ! [Y,X] : multiply(inverse(Y),Y,X) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Y] : multiply(X,Y,inverse(Y)) = X,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,negated_conjecture,
    inverse(inverse(a)) != a,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f7,plain,
    ! [X0,X1,X2,X3,X4] : multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4)) = multiply(X0,X1,multiply(X2,X3,X4)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f8,plain,
    ! [X0,X1] : multiply(X0,X1,X1) = X1,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f9,plain,
    ! [X0,X1] : multiply(X0,X0,X1) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f10,plain,
    ! [X0,X1] : multiply(inverse(X0),X0,X1) = X1,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f11,plain,
    ! [X0,X1] : multiply(X0,X1,inverse(X1)) = X0,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f12,plain,
    inverse(inverse(a)) != a,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f18,plain,
    ! [X0,X1,X2,X3] : multiply(X0,X1,multiply(X0,X2,X3)) = multiply(X0,X2,multiply(inverse(X2),X1,X3)),
    inference(paramodulation,[status(thm)],[f11,f7]) ).

fof(f55,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(X1),multiply(X0,X1,X2)) = multiply(X0,X1,inverse(X1)),
    inference(paramodulation,[status(thm)],[f9,f18]) ).

fof(f56,plain,
    ! [X0,X1,X2] : multiply(X0,inverse(X1),multiply(X0,X1,X2)) = X0,
    inference(forward_demodulation,[status(thm)],[f11,f55]) ).

fof(f133,plain,
    ! [X0,X1] : multiply(X0,inverse(X1),X1) = X0,
    inference(paramodulation,[status(thm)],[f8,f56]) ).

fof(f147,plain,
    ! [X0] : X0 = inverse(inverse(X0)),
    inference(paramodulation,[status(thm)],[f10,f133]) ).

fof(f161,plain,
    a != a,
    inference(backward_demodulation,[status(thm)],[f147,f12]) ).

fof(f162,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f161]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO001-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n015.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 22:56:02 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.37  % Drodi V3.6.0
% 0.13/0.39  % Refutation found
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40  % Elapsed time: 0.023823 seconds
% 0.13/0.40  % CPU time: 0.065009 seconds
% 0.13/0.40  % Total memory used: 3.690 MB
% 0.13/0.40  % Net memory used: 3.643 MB
%------------------------------------------------------------------------------