TSTP Solution File: RNG023-7 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %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 Jul 26 07:11:47 EDT 2022

% Result   : Unsatisfiable 0.18s 0.51s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    6 (   6 unt;   0 nHn;   3 RR)
%            Number of literals    :    6 (   5 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    additive_identity = add(X,additive_inverse(X)),
    file('/tmp/MaedMax_8386') ).

cnf(eq_1,axiom,
    multiply(X,multiply(X,Y)) = multiply(multiply(X,X),Y),
    file('/tmp/MaedMax_8386') ).

cnf(eq_2,axiom,
    add(multiply(multiply(X,Y),Z),additive_inverse(multiply(X,multiply(Y,Z)))) = associator(X,Y,Z),
    file('/tmp/MaedMax_8386') ).

cnf(eq_3,negated_conjecture,
    additive_identity != associator(x,x,y),
    file('/tmp/MaedMax_8386') ).

cnf(eq_4,negated_conjecture,
    additive_identity != additive_identity,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_3,eq_2]),eq_1]),eq_0]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : RNG023-7 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n013.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 02:52:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.51  % SZS status Unsatisfiable
% 0.18/0.51  % SZS output start CNFRefutation for /tmp/MaedMax_8386
% See solution above
% 0.18/0.51  
%------------------------------------------------------------------------------