TSTP Solution File: ROB009-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n004.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 Jul 26 07:11:59 EDT 2022

% Result   : Unsatisfiable 0.19s 0.50s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (  11 unt;   0 nHn;   6 RR)
%            Number of literals    :   11 (  10 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   12 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_2154') ).

cnf(eq_1,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_2154') ).

cnf(eq_2,axiom,
    X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
    file('/tmp/MaedMax_2154') ).

cnf(eq_3,axiom,
    negate(add(a,negate(add(b,c)))) = negate(add(b,negate(add(a,c)))),
    file('/tmp/MaedMax_2154') ).

cnf(eq_4,negated_conjecture,
    a != b,
    file('/tmp/MaedMax_2154') ).

cnf(eq_5,plain,
    add(add(X,Y),x102) = add(Y,add(X,x102)),
    inference(cp,[status(thm)],[eq_0,eq_1]) ).

cnf(eq_6,plain,
    negate(add(negate(add(a,add(b,c))),negate(add(b,negate(add(a,c)))))) = a,
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_7,plain,
    a = b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_8]),eq_0]),eq_0]),eq_2]) ).

cnf(eq_8,plain,
    add(X,add(Y,Z)) = add(Y,add(X,Z)),
    inference(rw,[status(thm)],[eq_5,eq_1]) ).

cnf(eq_9,negated_conjecture,
    a != a,
    inference(cp,[status(thm)],[eq_7,eq_4]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_9]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ROB009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.13/0.33  % Computer : n004.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Tue Jul 26 03:51:21 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.50  % SZS status Unsatisfiable
% 0.19/0.50  % SZS output start CNFRefutation for /tmp/MaedMax_2154
% See solution above
% 0.19/0.50  
%------------------------------------------------------------------------------