TSTP Solution File: GRP704-12 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP704-12 : 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 07:03:12 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (  12 unt;   0 nHn;   6 RR)
%            Number of literals    :   12 (  11 equ;   4 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;   5 con; 0-2 aty)
%            Number of variables   :    9 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(B,ld(B,A)),
    file('/tmp/MaedMax_13839') ).

cnf(eq_1,axiom,
    A = mult(A,unit),
    file('/tmp/MaedMax_13839') ).

cnf(eq_2,axiom,
    A = mult(unit,A),
    file('/tmp/MaedMax_13839') ).

cnf(eq_3,axiom,
    mult(A,mult(op_c,B)) = mult(mult(A,op_c),B),
    file('/tmp/MaedMax_13839') ).

cnf(eq_4,axiom,
    mult(A,mult(B,ld(mult(A,B),op_c))) = op_f,
    file('/tmp/MaedMax_13839') ).

cnf(eq_5,negated_conjecture,
    mult(mult(x4,op_f),x5) != mult(x4,mult(op_f,x5)),
    file('/tmp/MaedMax_13839') ).

cnf(eq_6,plain,
    mult(A,mult(unit,ld(A,op_c))) = op_f,
    inference(cp,[status(thm)],[eq_1,eq_4]) ).

cnf(eq_7,plain,
    op_c = op_f,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_6,eq_2]),eq_0]) ).

cnf(eq_8,negated_conjecture,
    mult(mult(x4,op_c),x5) != mult(x4,mult(op_f,x5)),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_9,negated_conjecture,
    mult(x4,mult(op_c,x5)) != mult(x4,mult(op_f,x5)),
    inference(rw,[status(thm)],[eq_8,eq_3]) ).

cnf(eq_10,negated_conjecture,
    mult(x4,mult(op_f,x5)) != mult(x4,mult(op_f,x5)),
    inference(rw,[status(thm)],[eq_9,eq_7]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : GRP704-12 : TPTP v8.1.0. Released v8.1.0.
% 0.11/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n006.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 04:17:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.53  % SZS status Unsatisfiable
% 0.20/0.53  % SZS output start CNFRefutation for /tmp/MaedMax_13839
% See solution above
% 0.20/0.53  
%------------------------------------------------------------------------------