%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP530-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n013.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 12:11:57 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    4 (   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   :   25 (;  25   !;   0   ?)

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

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

fof(f3,axiom,
    ! [A,B] : inverse(A) = divide(divide(B,B),A),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,plain,
    ! [X0,X1,X2] : divide(divide(X0,divide(X1,X2)),divide(X0,X1)) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f6,plain,
    ! [X0,X1,X2] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f7,plain,
    ! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f8,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f13,plain,
    ! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
    inference(forward_demodulation,[status(thm)],[f7,f6]) ).

fof(f15,plain,
    ! [X0,X1] : multiply(divide(X0,X0),X1) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f7,f13]) ).

fof(f22,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = inverse(inverse(X1)),
    inference(paramodulation,[status(thm)],[f13,f15]) ).

fof(f52,plain,
    inverse(inverse(a2)) != a2,
    inference(backward_demodulation,[status(thm)],[f22,f8]) ).

fof(f78,plain,
    ! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
    inference(paramodulation,[status(thm)],[f7,f5]) ).

fof(f137,plain,
    ! [X0] : inverse(inverse(X0)) = X0,
    inference(paramodulation,[status(thm)],[f7,f78]) ).

fof(f156,plain,
    a2 != a2,
    inference(backward_demodulation,[status(thm)],[f137,f52]) ).

fof(f157,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f156]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP530-1 : TPTP v8.1.2. Released v2.6.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n013.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 11:27:35 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 0.13/0.36  % Refutation found
% 0.13/0.36  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57  % Elapsed time: 0.011354 seconds
% 0.20/0.57  % CPU time: 0.035326 seconds
% 0.20/0.57  % Memory used: 886.326 KB
%------------------------------------------------------------------------------