%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP010-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n021.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 : Wed May 31 12:09:41 EDT 2023

% Result   : Unsatisfiable 0.19s 0.36s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (;  21   !;   0   ?)

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

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

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

fof(f4,hypothesis,
    multiply(c,b) = identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    multiply(b,c) != identity,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0] : multiply(identity,X0) = X0,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0] : multiply(inverse(X0),X0) = identity,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    multiply(c,b) = identity,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    multiply(b,c) != identity,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f14,plain,
    ! [X0] : multiply(identity,X0) = multiply(c,multiply(b,X0)),
    inference(paramodulation,[status(thm)],[f9,f6]) ).

fof(f15,plain,
    ! [X0] : X0 = multiply(c,multiply(b,X0)),
    inference(forward_demodulation,[status(thm)],[f7,f14]) ).

fof(f17,plain,
    ! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f8,f6]) ).

fof(f18,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f7,f17]) ).

fof(f21,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(paramodulation,[status(thm)],[f18,f18]) ).

fof(f22,plain,
    ! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
    inference(paramodulation,[status(thm)],[f8,f18]) ).

fof(f23,plain,
    ! [X0] : X0 = multiply(X0,identity),
    inference(forward_demodulation,[status(thm)],[f21,f22]) ).

fof(f43,plain,
    ! [X0] : multiply(X0,inverse(X0)) = identity,
    inference(paramodulation,[status(thm)],[f8,f21]) ).

fof(f117,plain,
    inverse(b) = multiply(c,identity),
    inference(paramodulation,[status(thm)],[f43,f15]) ).

fof(f118,plain,
    inverse(b) = c,
    inference(forward_demodulation,[status(thm)],[f23,f117]) ).

fof(f129,plain,
    multiply(b,c) = identity,
    inference(paramodulation,[status(thm)],[f118,f43]) ).

fof(f130,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f129,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP010-4 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n021.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 : Tue May 30 11:26:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.19/0.36  % Refutation found
% 0.19/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.23/0.58  % Elapsed time: 0.016409 seconds
% 0.23/0.58  % CPU time: 0.018220 seconds
% 0.23/0.58  % Memory used: 252.475 KB
%------------------------------------------------------------------------------