%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP518-1 : 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 12:11:56 EDT 2023

% Result   : Unsatisfiable 0.13s 0.36s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (  10 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   22 (;  22   !;   0   ?)

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

fof(f2,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(inverse(multiply(X0,X1)),X2),X1)) = X2,
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f4,plain,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f5,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(X1,X2)) = multiply(multiply(inverse(multiply(inverse(multiply(X0,X2)),X3)),X1),X3),
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f14,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X2,X1))) = X2,
    inference(paramodulation,[status(thm)],[f5,f3]) ).

fof(f21,plain,
    ! [X0,X1,X2] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X2,X1))),X2) = X0,
    inference(paramodulation,[status(thm)],[f14,f14]) ).

fof(f40,plain,
    ! [X0,X1,X2,X3] : multiply(inverse(multiply(X0,X1)),multiply(X2,multiply(X3,X1))) = multiply(multiply(inverse(X0),X2),X3),
    inference(paramodulation,[status(thm)],[f21,f5]) ).

fof(f47,plain,
    ! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
    inference(backward_demodulation,[status(thm)],[f40,f14]) ).

fof(f48,plain,
    a2 != a2,
    inference(backward_demodulation,[status(thm)],[f47,f4]) ).

fof(f49,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f48]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP518-1 : TPTP v8.1.2. Released v2.6.0.
% 0.04/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n008.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 11:36:23 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
% 0.13/0.36  % Elapsed time: 0.019616 seconds
% 0.13/0.36  % CPU time: 0.059788 seconds
% 0.13/0.36  % Memory used: 1.588 MB
%------------------------------------------------------------------------------