TSTP Solution File: ROB003-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : ROB003-1 : 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 0.51s 0.70s
% Output   : CNFRefutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   24 (  24 unt;   0 nHn;   6 RR)
%            Number of literals    :   24 (  23 equ;   3 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    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   3 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    add(X,Y) = add(Y,X),
    file('/tmp/MaedMax_3420') ).

cnf(eq_1,axiom,
    add(X,add(Y,Z)) = add(add(X,Y),Z),
    file('/tmp/MaedMax_3420') ).

cnf(eq_2,axiom,
    X = negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))),
    file('/tmp/MaedMax_3420') ).

cnf(eq_3,axiom,
    add(X,c) = c,
    file('/tmp/MaedMax_3420') ).

cnf(eq_4,negated_conjecture,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
    file('/tmp/MaedMax_3420') ).

cnf(eq_5,plain,
    add(c,Y) = c,
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_6,plain,
    negate(add(negate(add(X,Y)),negate(add(Y,negate(X))))) = Y,
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

cnf(eq_7,plain,
    negate(add(negate(c),negate(add(X,negate(c))))) = X,
    inference(cp,[status(thm)],[eq_3,eq_2]) ).

cnf(eq_8,plain,
    X = negate(add(negate(add(Y,X)),negate(add(X,negate(Y))))),
    eq_6 ).

cnf(eq_9,plain,
    add(c,X) = c,
    eq_5 ).

cnf(eq_10,plain,
    negate(add(negate(add(x100,Y)),negate(add(negate(x100),Y)))) = Y,
    inference(cp,[status(thm)],[eq_0,eq_8]) ).

cnf(eq_11,plain,
    negate(add(negate(c),negate(add(negate(c),Y)))) = Y,
    inference(cp,[status(thm)],[eq_0,eq_7]) ).

cnf(eq_12,plain,
    negate(add(negate(c),negate(c))) = c,
    inference(cp,[status(thm)],[eq_9,eq_7]) ).

cnf(eq_13,plain,
    X = negate(add(negate(add(Y,X)),negate(add(negate(Y),X)))),
    eq_10 ).

cnf(eq_14,plain,
    X = negate(add(negate(c),negate(add(negate(c),X)))),
    eq_11 ).

cnf(eq_15,plain,
    negate(add(negate(add(add(negate(c),negate(c)),x101)),negate(add(x101,c)))) = x101,
    inference(cp,[status(thm)],[eq_12,eq_8]) ).

cnf(eq_16,plain,
    X = negate(add(negate(c),negate(add(negate(c),add(negate(c),X))))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_15,eq_1]),eq_3]),eq_0]) ).

cnf(eq_17,plain,
    X = add(negate(c),X),
    inference(cp,[status(thm)],[eq_16,eq_14]) ).

cnf(eq_18,plain,
    X = negate(negate(X)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_17]),eq_17]),eq_17]) ).

cnf(eq_19,plain,
    negate(X) = add(negate(add(Y,X)),negate(add(negate(Y),X))),
    inference(cp,[status(thm)],[eq_13,eq_18]) ).

cnf(eq_20,plain,
    add(negate(add(X,Y)),negate(add(negate(X),Y))) = negate(Y),
    eq_19 ).

cnf(eq_21,negated_conjecture,
    negate(negate(b)) != b,
    inference(cp,[status(thm)],[eq_20,eq_4]) ).

cnf(eq_22,negated_conjecture,
    b != b,
    inference(rw,[status(thm)],[eq_21,eq_18]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : ROB003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n004.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 26 03:51:51 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.51/0.70  % SZS status Unsatisfiable
% 0.51/0.70  % SZS output start CNFRefutation for /tmp/MaedMax_3420
% See solution above
% 0.51/0.70  
%------------------------------------------------------------------------------