%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP115-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n028.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 20:19:16 EDT 2024

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   19 (  19 unt;   0 def)
%            Number of atoms       :   19 (  18 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    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   38 (  38   !;   0   ?)

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

fof(f2,negated_conjecture,
    multiply(a,multiply(a,a)) != identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    multiply(a,multiply(a,a)) != identity,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X0),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f10,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
    inference(paramodulation,[status(thm)],[f3,f8]) ).

fof(f26,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
    inference(backward_demodulation,[status(thm)],[f10,f3]) ).

fof(f30,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,X0),multiply(identity,identity)))),
    inference(paramodulation,[status(thm)],[f10,f26]) ).

fof(f31,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))),
    inference(paramodulation,[status(thm)],[f10,f26]) ).

fof(f38,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X1,multiply(X1,multiply(X0,identity)))),
    inference(forward_demodulation,[status(thm)],[f10,f30]) ).

fof(f39,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X2)),multiply(identity,multiply(X2,X2))))),
    inference(forward_demodulation,[status(thm)],[f10,f31]) ).

fof(f40,plain,
    ! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X0,X2),multiply(X2,X2))))),
    inference(forward_demodulation,[status(thm)],[f10,f39]) ).

fof(f48,plain,
    ! [X0,X1] : X0 = multiply(multiply(X0,multiply(X1,X1)),X1),
    inference(paramodulation,[status(thm)],[f40,f40]) ).

fof(f69,plain,
    ! [X0,X1] : X0 = multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)),
    inference(paramodulation,[status(thm)],[f10,f48]) ).

fof(f82,plain,
    ! [X0,X1] : X0 = multiply(X0,multiply(multiply(identity,multiply(X1,X1)),X1)),
    inference(forward_demodulation,[status(thm)],[f10,f69]) ).

fof(f83,plain,
    ! [X0] : X0 = multiply(X0,identity),
    inference(forward_demodulation,[status(thm)],[f48,f82]) ).

fof(f89,plain,
    ! [X0,X1] : X0 = multiply(X1,multiply(X1,multiply(X1,X0))),
    inference(backward_demodulation,[status(thm)],[f83,f38]) ).

fof(f117,plain,
    ! [X0] : identity = multiply(X0,multiply(X0,X0)),
    inference(paramodulation,[status(thm)],[f83,f89]) ).

fof(f124,plain,
    $false,
    inference(resolution,[status(thm)],[f117,f4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP115-1 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.14  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35  % Computer : n028.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 : Tue Apr 30 00:38:44 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Drodi V3.6.0
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.37  % Elapsed time: 0.016611 seconds
% 0.13/0.37  % CPU time: 0.036939 seconds
% 0.13/0.37  % Total memory used: 3.147 MB
% 0.13/0.37  % Net memory used: 3.130 MB
%------------------------------------------------------------------------------