%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n008.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 12:12:03 EDT 2023

% Result   : Unsatisfiable 0.14s 0.38s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   22 (  22 unt;   0 def)
%            Number of atoms       :   22 (  21 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   :   43 (;  43   !;   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(inverse(a1),a1) != multiply(inverse(b1),b1),
    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(inverse(a1),a1) != multiply(inverse(b1),b1),
    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(f72,plain,
    ! [X0,X1] : multiply(inverse(multiply(X0,X1)),X0) = inverse(X1),
    inference(paramodulation,[status(thm)],[f45,f45]) ).

fof(f79,plain,
    ! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
    inference(paramodulation,[status(thm)],[f35,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(a1),a1) != inverse(divide(b1,b1)),
    inference(backward_demodulation,[status(thm)],[f94,f6]) ).

fof(f102,plain,
    inverse(divide(a1,a1)) != inverse(divide(b1,b1)),
    inference(forward_demodulation,[status(thm)],[f94,f101]) ).

fof(f114,plain,
    ! [X0,X1] : inverse(divide(multiply(X0,X1),X0)) = inverse(X1),
    inference(backward_demodulation,[status(thm)],[f94,f72]) ).

fof(f221,plain,
    ! [X0,X1] : inverse(divide(X0,X0)) = inverse(divide(X1,X1)),
    inference(paramodulation,[status(thm)],[f16,f114]) ).

fof(f222,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f102,f221]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP557-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34  % Computer : n008.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Tue May 30 11:33:53 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Drodi V3.5.1
% 0.14/0.38  % Refutation found
% 0.14/0.38  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.40  % Elapsed time: 0.051990 seconds
% 0.14/0.40  % CPU time: 0.058699 seconds
% 0.14/0.40  % Memory used: 983.283 KB
%------------------------------------------------------------------------------