TSTP Solution File: ROB009-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n019.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 12:33:01 EDT 2023

% Result   : Unsatisfiable 0.15s 0.55s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   16 (  16 unt;   0 def)
%            Number of atoms       :   16 (  15 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (;  20   !;   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,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f4,hypothesis,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,negated_conjecture,
    a != b,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,plain,
    ! [X0,X1] : add(X0,X1) = add(X1,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f7,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f2]) ).

fof(f8,plain,
    ! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f9,plain,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    inference(cnf_transformation,[status(esa)],[f4]) ).

fof(f10,plain,
    a != b,
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f16,plain,
    ! [X0,X1,X2] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
    inference(paramodulation,[status(thm)],[f6,f7]) ).

fof(f17,plain,
    ! [X0,X1,X2] : add(X0,add(X1,X2)) = add(X1,add(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f7,f16]) ).

fof(f348,plain,
    negate(add(negate(add(b,add(a,c))),negate(add(a,negate(add(b,c)))))) = b,
    inference(paramodulation,[status(thm)],[f9,f8]) ).

fof(f349,plain,
    negate(add(negate(add(a,add(b,c))),negate(add(a,negate(add(b,c)))))) = b,
    inference(forward_demodulation,[status(thm)],[f17,f348]) ).

fof(f350,plain,
    a = b,
    inference(forward_demodulation,[status(thm)],[f8,f349]) ).

fof(f351,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f350,f10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : ROB009-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.10  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.30  % Computer : n019.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 11:11:40 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Drodi V3.5.1
% 0.15/0.55  % Refutation found
% 0.15/0.55  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.55  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.55  % Elapsed time: 0.032893 seconds
% 0.15/0.55  % CPU time: 0.037628 seconds
% 0.15/0.55  % Memory used: 603.510 KB
%------------------------------------------------------------------------------