↑ Up

MaedMax---1.4.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP665-11 : TPTP v8.1.0. Released v8.1.0.
% 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 07:03:08 EDT 2022

% Result   : Unsatisfiable 0.38s 0.61s
% Output   : CNFRefutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (  14 unt;   0 nHn;   5 RR)
%            Number of literals    :   14 (  13 equ;   4 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    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = ld(B,mult(B,A)),
    file('/tmp/MaedMax_22254') ).

cnf(eq_1,axiom,
    A = rd(mult(A,B),B),
    file('/tmp/MaedMax_22254') ).

cnf(eq_2,axiom,
    mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)),
    file('/tmp/MaedMax_22254') ).

cnf(eq_3,axiom,
    mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))),
    file('/tmp/MaedMax_22254') ).

cnf(eq_4,axiom,
    mult(A,op_c) = mult(op_c,A),
    file('/tmp/MaedMax_22254') ).

cnf(eq_5,negated_conjecture,
    mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,x1)),
    file('/tmp/MaedMax_22254') ).

cnf(eq_6,plain,
    mult(mult(x100,A),ld(A,mult(A,op_c))) = mult(mult(x100,op_c),A),
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_7,plain,
    mult(rd(mult(op_c,A),A),mult(A,x102)) = mult(A,mult(op_c,x102)),
    inference(cp,[status(thm)],[eq_4,eq_2]) ).

cnf(eq_8,plain,
    mult(A,mult(op_c,B)) = mult(op_c,mult(A,B)),
    inference(rw,[status(thm)],[eq_7,eq_1]) ).

cnf(eq_9,plain,
    mult(mult(A,B),op_c) = mult(mult(A,op_c),B),
    inference(rw,[status(thm)],[eq_6,eq_0]) ).

cnf(eq_10,negated_conjecture,
    mult(op_c,mult(x0,x1)) != mult(mult(x0,op_c),x1),
    inference(cp,[status(thm)],[eq_8,eq_5]) ).

cnf(eq_11,negated_conjecture,
    mult(mult(x0,x1),op_c) != mult(mult(x0,op_c),x1),
    inference(cp,[status(thm)],[eq_4,eq_10]) ).

cnf(eq_12,negated_conjecture,
    mult(mult(x0,op_c),x1) != mult(mult(x0,op_c),x1),
    inference(cp,[status(thm)],[eq_9,eq_11]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP665-11 : TPTP v8.1.0. Released v8.1.0.
% 0.04/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n013.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
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Jul 26 04:04:45 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.38/0.61  % SZS status Unsatisfiable
% 0.38/0.61  % SZS output start CNFRefutation for /tmp/MaedMax_22254
% See solution above
% 0.38/0.61  
%------------------------------------------------------------------------------