%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 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 : Wed May 31 12:10:16 EDT 2023

% Result   : Unsatisfiable 0.14s 0.32s
% Output   : CNFRefutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 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    :    8 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   23 (;  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,Z] : multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,negated_conjecture,
    multiply(a,identity) != a,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f4,plain,
    multiply(a,identity) != a,
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
    inference(paramodulation,[status(thm)],[f3,f3]) ).

fof(f10,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
    inference(paramodulation,[status(thm)],[f3,f8]) ).

fof(f52,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(X2,X2))))),X2)) = X1,
    inference(backward_demodulation,[status(thm)],[f10,f8]) ).

fof(f53,plain,
    ! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2)) = X1,
    inference(forward_demodulation,[status(thm)],[f10,f52]) ).

fof(f86,plain,
    ! [X0,X1,X2,X3] : multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3)) = multiply(X1,X2),
    inference(paramodulation,[status(thm)],[f10,f53]) ).

fof(f96,plain,
    ! [X0] : multiply(X0,identity) = X0,
    inference(backward_demodulation,[status(thm)],[f86,f53]) ).

fof(f97,plain,
    a != a,
    inference(backward_demodulation,[status(thm)],[f96,f4]) ).

fof(f98,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f97]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem  : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 0.05/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n031.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Tue May 30 11:53:07 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  % Drodi V3.5.1
% 0.14/0.32  % Refutation found
% 0.14/0.32  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.32  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.54  % Elapsed time: 0.014389 seconds
% 0.14/0.54  % CPU time: 0.015440 seconds
% 0.14/0.54  % Memory used: 369.615 KB
%------------------------------------------------------------------------------