%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : BOO005-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : Tue Apr 30 20:12:51 EDT 2024

% Result   : Unsatisfiable 0.11s 0.35s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   21 (  21 unt;   0 def)
%            Number of atoms       :   21 (  20 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   1 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   :   26 (  26   !;   0   ?)

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

fof(f2,axiom,
    ! [X,Y] : multiply(X,Y) = multiply(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y,Z] : add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X] : multiply(X,multiplicative_identity) = X,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X] : add(X,inverse(X)) = multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,negated_conjecture,
    add(a,multiplicative_identity) != multiplicative_identity,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f11,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f12,plain,
    ! [X0,X1,X2] : add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f15,plain,
    ! [X0] : multiply(X0,multiplicative_identity) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f16,plain,
    ! [X0] : add(X0,inverse(X0)) = multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f18,plain,
    add(a,multiplicative_identity) != multiplicative_identity,
    inference(cnf_transformation,[status(esa)],[f9]) ).

fof(f19,plain,
    add(multiplicative_identity,a) != multiplicative_identity,
    inference(forward_demodulation,[status(thm)],[f10,f18]) ).

fof(f28,plain,
    ! [X0] : X0 = multiply(multiplicative_identity,X0),
    inference(paramodulation,[status(thm)],[f15,f11]) ).

fof(f50,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = multiply(multiplicative_identity,add(X0,X1)),
    inference(paramodulation,[status(thm)],[f16,f12]) ).

fof(f51,plain,
    ! [X0,X1] : add(X0,multiply(inverse(X0),X1)) = add(X0,X1),
    inference(forward_demodulation,[status(thm)],[f28,f50]) ).

fof(f73,plain,
    ! [X0] : add(X0,inverse(X0)) = add(X0,multiplicative_identity),
    inference(paramodulation,[status(thm)],[f15,f51]) ).

fof(f74,plain,
    ! [X0] : multiplicative_identity = add(X0,multiplicative_identity),
    inference(forward_demodulation,[status(thm)],[f16,f73]) ).

fof(f88,plain,
    ! [X0] : multiplicative_identity = add(multiplicative_identity,X0),
    inference(paramodulation,[status(thm)],[f10,f74]) ).

fof(f96,plain,
    multiplicative_identity != multiplicative_identity,
    inference(backward_demodulation,[status(thm)],[f88,f19]) ).

fof(f97,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f96]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : BOO005-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.34  % Computer : n013.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit : 300
% 0.11/0.34  % WCLimit  : 300
% 0.11/0.34  % DateTime : Mon Apr 29 22:30:19 EDT 2024
% 0.11/0.34  % CPUTime  : 
% 0.11/0.35  % Drodi V3.6.0
% 0.11/0.35  % Refutation found
% 0.11/0.35  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.35  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.37  % Elapsed time: 0.017517 seconds
% 0.11/0.37  % CPU time: 0.028100 seconds
% 0.11/0.37  % Total memory used: 2.662 MB
% 0.11/0.37  % Net memory used: 2.643 MB
%------------------------------------------------------------------------------