TSTP Solution File: GRP665-10 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n006.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 07:03:08 EDT 2022

% Result   : Unsatisfiable 0.18s 0.49s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   10 (  10 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   9 equ;   6 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   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   :    6 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_16471') ).

cnf(eq_1,axiom,
    mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
    file('/tmp/MaedMax_16471') ).

cnf(eq_2,axiom,
    mult(A,op_c) = mult(op_c,A),
    file('/tmp/MaedMax_16471') ).

cnf(eq_3,negated_conjecture,
    mult(mult(op_c,x0),x1) != mult(op_c,mult(x0,x1)),
    file('/tmp/MaedMax_16471') ).

cnf(eq_4,negated_conjecture,
    mult(mult(x0,x1),op_c) != mult(mult(op_c,x0),x1),
    inference(cp,[status(thm)],[eq_2,eq_3]) ).

cnf(eq_5,negated_conjecture,
    mult(mult(x0,op_c),ld(op_c,mult(x1,op_c))) != mult(mult(op_c,x0),x1),
    inference(cp,[status(thm)],[eq_1,eq_4]) ).

cnf(eq_6,negated_conjecture,
    mult(mult(x0,op_c),ld(op_c,mult(op_c,x1))) != mult(mult(op_c,x0),x1),
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_7,negated_conjecture,
    mult(mult(op_c,x0),x1) != mult(mult(x0,op_c),x1),
    inference(rw,[status(thm)],[eq_6,eq_0]) ).

cnf(eq_8,negated_conjecture,
    mult(mult(x0,op_c),x1) != mult(mult(x0,op_c),x1),
    inference(cp,[status(thm)],[eq_2,eq_7]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP665-10 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n006.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 04:10:17 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.49  % SZS status Unsatisfiable
% 0.18/0.49  % SZS output start CNFRefutation for /tmp/MaedMax_16471
% See solution above
% 0.18/0.49  
%------------------------------------------------------------------------------