%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n024.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 07:02:46 EDT 2022

% Result   : Unsatisfiable 0.20s 0.60s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   23 (  23 unt;   0 nHn;   6 RR)
%            Number of literals    :   23 (  22 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    8 (   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   :   36 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(divide(divide(B,B),divide(B,divide(A,divide(divide(divide(B,B),B),C)))),C),
    file('/tmp/MaedMax_16960') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_16960') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_16960') ).

cnf(eq_3,negated_conjecture,
    multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
    file('/tmp/MaedMax_16960') ).

cnf(eq_4,plain,
    divide(A,inverse(B)) = multiply(A,B),
    inference(rw,[status(thm)],[eq_1,eq_2]) ).

cnf(eq_5,plain,
    A = divide(inverse(divide(B,divide(A,divide(inverse(B),C)))),C),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_2]),eq_2]) ).

cnf(eq_6,plain,
    divide(inverse(divide(A,A)),x101) = inverse(x101),
    inference(cp,[status(thm)],[eq_2,eq_2]) ).

cnf(eq_7,plain,
    divide(inverse(divide(A,A)),B) = inverse(B),
    eq_6 ).

cnf(eq_8,plain,
    multiply(divide(x100,x100),B) = inverse(inverse(B)),
    inference(cp,[status(thm)],[eq_4,eq_2]) ).

cnf(eq_9,plain,
    divide(inverse(inverse(divide(x101,divide(inverse(divide(A,A)),x102)))),x102) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_10,plain,
    multiply(divide(A,A),B) = inverse(inverse(B)),
    eq_8 ).

cnf(eq_11,negated_conjecture,
    divide(inverse(b1),inverse(b1)) != multiply(inverse(a1),a1),
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_12,plain,
    A = divide(inverse(inverse(divide(A,inverse(B)))),B),
    inference(rw,[status(thm)],[eq_9,eq_7]) ).

cnf(eq_13,plain,
    A = divide(inverse(inverse(multiply(A,B))),B),
    inference(rw,[status(thm)],[eq_12,eq_4]) ).

cnf(eq_14,plain,
    multiply(multiply(inverse(B),B),x101) = inverse(inverse(x101)),
    inference(cp,[status(thm)],[eq_4,eq_10]) ).

cnf(eq_15,plain,
    multiply(multiply(inverse(A),A),B) = inverse(inverse(B)),
    eq_14 ).

cnf(eq_16,plain,
    divide(inverse(inverse(inverse(inverse(B)))),B) = multiply(inverse(A),A),
    inference(cp,[status(thm)],[eq_15,eq_13]) ).

cnf(eq_17,plain,
    divide(inverse(inverse(inverse(inverse(B)))),B) = divide(A,A),
    inference(cp,[status(thm)],[eq_10,eq_13]) ).

cnf(eq_18,plain,
    divide(inverse(inverse(inverse(inverse(A)))),A) = multiply(inverse(B),B),
    eq_16 ).

cnf(eq_19,negated_conjecture,
    divide(inverse(inverse(inverse(inverse(A)))),A) != divide(inverse(b1),inverse(b1)),
    inference(cp,[status(thm)],[eq_18,eq_11]) ).

cnf(eq_20,negated_conjecture,
    divide(A,A) != divide(inverse(b1),inverse(b1)),
    inference(cp,[status(thm)],[eq_17,eq_19]) ).

cnf(eq_21,negated_conjecture,
    divide(A,A) != divide(A,A),
    eq_20 ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_21]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP451-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.12/0.34  % Computer : n024.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 04:19:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.60  % SZS status Unsatisfiable
% 0.20/0.60  % SZS output start CNFRefutation for /tmp/MaedMax_16960
% See solution above
% 0.20/0.60  
%------------------------------------------------------------------------------