TSTP Solution File: GRP466-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP466-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n015.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 07:02:47 EDT 2022

% Result   : Unsatisfiable 0.20s 0.52s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   13 (  13 unt;   0 nHn;   8 RR)
%            Number of literals    :   13 (  12 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  10 con; 0-2 aty)
%            Number of variables   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(B,B),divide(C,divide(divide(A,divide(D,C)),inverse(D)))),
    file('/tmp/MaedMax_31480') ).

cnf(eq_1,axiom,
    divide(A,inverse(B)) = multiply(A,B),
    file('/tmp/MaedMax_31480') ).

cnf(eq_2,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/tmp/MaedMax_31480') ).

cnf(eq_3,negated_conjecture,
    divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_2,eq_1]),eq_1]) ).

cnf(eq_4,plain,
    divide(divide(x100,x100),divide(divide(divide(A,divide(D,C)),inverse(D)),divide(A,inverse(C)))) = divide(B,B),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_5,plain,
    divide(A,A) = divide(divide(B,B),divide(divide(divide(C,divide(D,x4)),inverse(D)),divide(C,inverse(x4)))),
    eq_4 ).

cnf(eq_6,plain,
    divide(A,A) = divide(divide(B,B),divide(multiply(divide(C,divide(D,x4)),D),multiply(C,x4))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_5,eq_1]),eq_1]) ).

cnf(eq_7,negated_conjecture,
    divide(divide(B,B),divide(divide(divide(C,divide(D,x4)),inverse(D)),divide(C,inverse(x4)))) != divide(inverse(a1),inverse(a1)),
    inference(cp,[status(thm)],[eq_5,eq_3]) ).

cnf(eq_8,negated_conjecture,
    divide(divide(A,A),divide(divide(divide(B,divide(C,D)),inverse(C)),divide(B,inverse(D)))) != divide(inverse(a1),inverse(a1)),
    eq_7 ).

cnf(eq_9,negated_conjecture,
    divide(divide(B,B),divide(multiply(divide(C,divide(D,x4)),D),multiply(C,x4))) != divide(divide(x100,x100),divide(divide(divide(x101,divide(x102,x103)),inverse(x102)),divide(x101,inverse(x103)))),
    inference(cp,[status(thm)],[eq_6,eq_8]) ).

cnf(eq_10,negated_conjecture,
    divide(divide(A,A),divide(multiply(divide(B,divide(C,D)),C),multiply(B,D))) != divide(divide(x4,x4),divide(multiply(divide(x5,divide(x6,x7)),x6),multiply(x5,x7))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_9,eq_1]),eq_1]) ).

cnf(eq_11,negated_conjecture,
    divide(divide(A,A),divide(multiply(divide(B,divide(C,D)),C),multiply(B,D))) != divide(divide(A,A),divide(multiply(divide(B,divide(C,D)),C),multiply(B,D))),
    eq_10 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : GRP466-1 : TPTP v8.1.0. Released v2.6.0.
% 0.13/0.13  % Command  : run_maedmax %d %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % 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 04:32:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.52  % SZS status Unsatisfiable
% 0.20/0.52  % SZS output start CNFRefutation for /tmp/MaedMax_31480
% See solution above
% 0.20/0.52  
%------------------------------------------------------------------------------