%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n031.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 20:20:56 EDT 2024

% Result   : Unsatisfiable 0.10s 0.33s
% Output   : CNFRefutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   20 (  20 unt;   0 def)
%            Number of atoms       :   20 (  19 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    6 (   2 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   :   39 (  39   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [A,B,C] : divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [A,B] : multiply(A,B) = divide(A,inverse(B)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f3,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).

fof(f4,plain,
    ! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f5,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f6,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f7,plain,
    ! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
    inference(backward_demodulation,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),divide(X0,inverse(X2)))) = X1,
    inference(paramodulation,[status(thm)],[f5,f7]) ).

fof(f9,plain,
    ! [X0,X1,X2] : multiply(X0,divide(multiply(X1,X2),multiply(X0,X2))) = X1,
    inference(forward_demodulation,[status(thm)],[f5,f8]) ).

fof(f12,plain,
    ! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(multiply(X1,X2),multiply(X3,X2))))) = X3,
    inference(paramodulation,[status(thm)],[f9,f9]) ).

fof(f13,plain,
    ! [X0,X1,X2,X3] : multiply(X0,divide(X1,multiply(X0,divide(divide(X1,X2),divide(X3,X2))))) = X3,
    inference(paramodulation,[status(thm)],[f7,f9]) ).

fof(f16,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
    inference(paramodulation,[status(thm)],[f7,f13]) ).

fof(f35,plain,
    ! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
    inference(paramodulation,[status(thm)],[f16,f12]) ).

fof(f45,plain,
    ! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
    inference(paramodulation,[status(thm)],[f5,f35]) ).

fof(f79,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
    inference(paramodulation,[status(thm)],[f35,f45]) ).

fof(f80,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,X0)),X1) = X1,
    inference(paramodulation,[status(thm)],[f16,f45]) ).

fof(f94,plain,
    ! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
    inference(paramodulation,[status(thm)],[f79,f45]) ).

fof(f101,plain,
    multiply(inverse(divide(b2,b2)),a2) != a2,
    inference(backward_demodulation,[status(thm)],[f94,f6]) ).

fof(f102,plain,
    a2 != a2,
    inference(forward_demodulation,[status(thm)],[f80,f101]) ).

fof(f103,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f102]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP558-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31  % Computer : n031.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit : 300
% 0.10/0.32  % WCLimit  : 300
% 0.10/0.32  % DateTime : Tue Apr 30 00:56:43 EDT 2024
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Drodi V3.6.0
% 0.10/0.33  % Refutation found
% 0.10/0.33  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.34  % Elapsed time: 0.012976 seconds
% 0.10/0.34  % CPU time: 0.033400 seconds
% 0.10/0.34  % Total memory used: 3.488 MB
% 0.10/0.34  % Net memory used: 3.476 MB
%------------------------------------------------------------------------------