%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP011-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n029.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 20:18:46 EDT 2024

% Result   : Unsatisfiable 0.15s 0.32s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   23 (  23 unt;   0 def)
%            Number of atoms       :   23 (  22 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;   4 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/sandbox/benchmark/theBenchmark.p') ).

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

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

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

fof(f5,negated_conjecture,
    b != d,
    file('/export/starexec/sandbox/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(b,c) = multiply(d,c),
    inference(cnf_transformation,[status(esa)],[f4]) ).

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

fof(f14,plain,
    ! [X0,X1] : multiply(identity,X0) = multiply(inverse(X1),multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f8,f6]) ).

fof(f15,plain,
    ! [X0,X1] : X0 = multiply(inverse(X1),multiply(X1,X0)),
    inference(forward_demodulation,[status(thm)],[f7,f14]) ).

fof(f17,plain,
    ! [X0] : multiply(multiply(b,c),X0) = multiply(d,multiply(c,X0)),
    inference(paramodulation,[status(thm)],[f9,f6]) ).

fof(f18,plain,
    ! [X0] : multiply(b,multiply(c,X0)) = multiply(d,multiply(c,X0)),
    inference(forward_demodulation,[status(thm)],[f6,f17]) ).

fof(f24,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
    inference(paramodulation,[status(thm)],[f15,f15]) ).

fof(f25,plain,
    ! [X0] : X0 = multiply(inverse(inverse(X0)),identity),
    inference(paramodulation,[status(thm)],[f8,f15]) ).

fof(f26,plain,
    ! [X0] : X0 = multiply(X0,identity),
    inference(forward_demodulation,[status(thm)],[f24,f25]) ).

fof(f57,plain,
    ! [X0] : multiply(X0,inverse(X0)) = identity,
    inference(paramodulation,[status(thm)],[f8,f24]) ).

fof(f81,plain,
    multiply(b,multiply(c,inverse(c))) = multiply(d,identity),
    inference(paramodulation,[status(thm)],[f57,f18]) ).

fof(f82,plain,
    multiply(b,identity) = multiply(d,identity),
    inference(forward_demodulation,[status(thm)],[f57,f81]) ).

fof(f83,plain,
    b = multiply(d,identity),
    inference(forward_demodulation,[status(thm)],[f26,f82]) ).

fof(f84,plain,
    b = d,
    inference(forward_demodulation,[status(thm)],[f26,f83]) ).

fof(f85,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f84,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : GRP011-4 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31  % Computer : n029.cluster.edu
% 0.09/0.31  % Model    : x86_64 x86_64
% 0.09/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31  % Memory   : 8042.1875MB
% 0.09/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31  % CPULimit : 300
% 0.09/0.31  % WCLimit  : 300
% 0.09/0.31  % DateTime : Tue Apr 30 00:49:34 EDT 2024
% 0.09/0.31  % CPUTime  : 
% 0.15/0.31  % Drodi V3.6.0
% 0.15/0.32  % Refutation found
% 0.15/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.33  % Elapsed time: 0.014796 seconds
% 0.15/0.33  % CPU time: 0.023071 seconds
% 0.15/0.33  % Total memory used: 2.659 MB
% 0.15/0.33  % Net memory used: 2.639 MB
%------------------------------------------------------------------------------