%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : GRP466-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 20:20:42 EDT 2024

% Result   : Unsatisfiable 0.14s 0.36s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   4 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,D] : divide(divide(A,A),divide(B,divide(divide(C,divide(D,B)),inverse(D)))) = C,
    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,X3] : divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3)))) = X2,
    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,X3] : divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3))) = X2,
    inference(backward_demodulation,[status(thm)],[f5,f4]) ).

fof(f8,plain,
    ! [X0,X1,X2,X3] : X0 = divide(multiply(inverse(X1),X1),divide(X2,multiply(divide(X0,divide(X3,X2)),X3))),
    inference(paramodulation,[status(thm)],[f5,f7]) ).

fof(f9,plain,
    ! [X0,X1,X2,X3,X4] : divide(X0,X0) = divide(divide(X1,X1),divide(multiply(divide(X2,divide(X3,X4)),X3),multiply(X2,X4))),
    inference(paramodulation,[status(thm)],[f7,f7]) ).

fof(f15,plain,
    ! [X0,X1,X2,X3,X4] : multiply(inverse(X0),X0) = divide(multiply(inverse(X1),X1),divide(multiply(divide(X2,divide(X3,X4)),X3),multiply(X2,X4))),
    inference(paramodulation,[status(thm)],[f8,f8]) ).

fof(f24,plain,
    ! [X0,X1,X2,X3] : divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))) = divide(a1,a1),
    inference(equality_split,[status(esa)],[f9]) ).

fof(f26,plain,
    ! [X0,X1,X2,X3] : divide(a1,a1) = divide(multiply(inverse(X0),X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3))),
    inference(paramodulation,[status(thm)],[f5,f24]) ).

fof(f44,plain,
    ! [X0] : multiply(inverse(X0),X0) = divide(a1,a1),
    inference(backward_demodulation,[status(thm)],[f26,f15]) ).

fof(f68,plain,
    multiply(inverse(a1),a1) != divide(a1,a1),
    inference(backward_demodulation,[status(thm)],[f44,f6]) ).

fof(f82,plain,
    $false,
    inference(resolution,[status(thm)],[f68,f44]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP466-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35  % Computer : n020.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Tue Apr 30 00:29:47 EDT 2024
% 0.14/0.35  % CPUTime  : 
% 0.14/0.36  % Drodi V3.6.0
% 0.14/0.36  % Refutation found
% 0.14/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.37  % Elapsed time: 0.017752 seconds
% 0.14/0.37  % CPU time: 0.042618 seconds
% 0.14/0.37  % Total memory used: 3.495 MB
% 0.14/0.37  % Net memory used: 3.445 MB
%------------------------------------------------------------------------------