TSTP Solution File: ROB002-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n017.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 0.53s 0.72s
% Output   : CNFRefutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (  11 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   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   :   13 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_2050') ).

cnf(eq_1,axiom,
    X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
    file('/tmp/MaedMax_2050') ).

cnf(eq_2,axiom,
    X = negate(negate(X)),
    file('/tmp/MaedMax_2050') ).

cnf(eq_3,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
    file('/tmp/MaedMax_2050') ).

cnf(eq_4,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(b),negate(a)))) != b,
    inference(rw,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_5,plain,
    negate(X) = add(negate(add(X,Y)),negate(add(X,negate(Y)))),
    inference(cp,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_6,plain,
    add(negate(add(X,Y)),negate(add(X,negate(Y)))) = negate(X),
    eq_5 ).

cnf(eq_7,plain,
    add(negate(add(X,Y)),negate(add(Y,negate(X)))) = negate(Y),
    inference(cp,[status(thm)],[eq_0,eq_6]) ).

cnf(eq_8,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(add(negate(add(b,Y)),negate(add(b,negate(Y)))),negate(a)))) != b,
    inference(cp,[status(thm)],[eq_5,eq_4]) ).

cnf(eq_9,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),add(negate(add(b,X)),negate(add(b,negate(X))))))) != b,
    inference(rw,[status(thm)],[eq_8,eq_0]) ).

cnf(eq_10,negated_conjecture,
    b != b,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_6]),eq_0]),eq_7]),eq_2]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_10]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : ROB002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Jul 26 03:18:02 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.53/0.72  % SZS status Unsatisfiable
% 0.53/0.72  % SZS output start CNFRefutation for /tmp/MaedMax_2050
% See solution above
% 0.53/0.72  
%------------------------------------------------------------------------------