%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : BOO068-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n027.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 06:57:53 EDT 2022

% Result   : Unsatisfiable 0.76s 0.96s
% Output   : CNFRefutation 0.76s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   41 (  41 unt;   0 nHn;   3 RR)
%            Number of literals    :   41 (  40 equ;   2 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;  11 con; 0-3 aty)
%            Number of variables   :  115 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = multiply(multiply(B,inverse(B),A),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)),
    file('/tmp/MaedMax_11786') ).

cnf(eq_1,negated_conjecture,
    multiply(b,a,a) != a,
    file('/tmp/MaedMax_11786') ).

cnf(eq_2,plain,
    multiply(multiply(C,D,G),inverse(multiply(multiply(x102,x103,x104),x105,multiply(x102,x103,x106))),multiply(x103,multiply(x106,x105,x104),x102)) = multiply(D,multiply(G,inverse(multiply(C,D,E)),E),C),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    multiply(A,multiply(B,inverse(multiply(C,A,D)),D),C) = multiply(multiply(C,A,B),inverse(multiply(multiply(E,F,G),x7,multiply(E,F,x8))),multiply(F,multiply(x8,x7,G),E)),
    eq_2 ).

cnf(eq_4,plain,
    multiply(inverse(C),multiply(B,inverse(multiply(C,inverse(C),D)),D),C) = B,
    inference(cp,[status(thm)],[eq_3,eq_0]) ).

cnf(eq_5,plain,
    A = multiply(inverse(B),multiply(A,inverse(multiply(B,inverse(B),C)),C),B),
    eq_4 ).

cnf(eq_6,plain,
    multiply(multiply(x100,inverse(x100),x101),inverse(multiply(multiply(x102,x103,B),multiply(A,inverse(multiply(B,inverse(B),C)),C),multiply(x102,x103,inverse(B)))),multiply(x103,A,x102)) = x101,
    inference(cp,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_7,plain,
    A = multiply(multiply(B,inverse(B),A),inverse(multiply(multiply(C,D,E),multiply(F,inverse(multiply(E,inverse(E),G)),G),multiply(C,D,inverse(E)))),multiply(D,F,C)),
    eq_6 ).

cnf(eq_8,plain,
    multiply(multiply(x100,inverse(x100),x101),inverse(A),multiply(inverse(D),multiply(C,inverse(multiply(multiply(C,D,E),multiply(inverse(D),inverse(multiply(E,inverse(E),G)),G),multiply(C,D,inverse(E)))),A),D)) = x101,
    inference(cp,[status(thm)],[eq_7,eq_0]) ).

cnf(eq_9,plain,
    A = multiply(multiply(B,inverse(B),A),inverse(C),multiply(inverse(D),multiply(E,inverse(multiply(multiply(E,D,F),multiply(inverse(D),inverse(multiply(F,inverse(F),G)),G),multiply(E,D,inverse(F)))),C),D)),
    eq_8 ).

cnf(eq_10,plain,
    multiply(multiply(x100,inverse(x100),x101),inverse(multiply(D,inverse(D),multiply(B,inverse(B),A))),multiply(inverse(D),A,D)) = x101,
    inference(cp,[status(thm)],[eq_7,eq_9]) ).

cnf(eq_11,plain,
    A = multiply(multiply(B,inverse(B),A),inverse(multiply(C,inverse(C),multiply(D,inverse(D),E))),multiply(inverse(C),E,C)),
    eq_10 ).

cnf(eq_12,plain,
    multiply(multiply(D,inverse(D),E),inverse(multiply(multiply(x102,x103,x104),multiply(x105,inverse(multiply(x104,inverse(x104),x106)),x106),multiply(x102,x103,inverse(x104)))),multiply(x103,x105,x102)) = multiply(inverse(C),E,C),
    inference(cp,[status(thm)],[eq_11,eq_7]) ).

cnf(eq_13,plain,
    A = multiply(inverse(B),A,B),
    inference(rw,[status(thm)],[eq_12,eq_7]) ).

cnf(eq_14,plain,
    A = multiply(A,inverse(multiply(B,inverse(B),C)),C),
    inference(rw,[status(thm)],[eq_5,eq_13]) ).

cnf(eq_15,plain,
    inverse(C) = inverse(multiply(B,inverse(B),C)),
    inference(cp,[status(thm)],[eq_14,eq_13]) ).

cnf(eq_16,plain,
    inverse(A) = inverse(multiply(B,inverse(B),A)),
    eq_15 ).

cnf(eq_17,plain,
    inverse(inverse(inverse(B))) = inverse(B),
    inference(cp,[status(thm)],[eq_13,eq_16]) ).

cnf(eq_18,plain,
    inverse(multiply(multiply(B,inverse(B),A),inverse(A),x101)) = inverse(x101),
    inference(cp,[status(thm)],[eq_16,eq_16]) ).

cnf(eq_19,plain,
    multiply(x100,inverse(A),A) = x100,
    inference(cp,[status(thm)],[eq_16,eq_14]) ).

cnf(eq_20,plain,
    A = multiply(A,inverse(B),B),
    eq_19 ).

cnf(eq_21,plain,
    inverse(A) = inverse(inverse(inverse(A))),
    eq_17 ).

cnf(eq_22,plain,
    inverse(A) = inverse(multiply(multiply(B,inverse(B),C),inverse(C),A)),
    eq_18 ).

cnf(eq_23,plain,
    multiply(inverse(A),x101,inverse(inverse(A))) = x101,
    inference(cp,[status(thm)],[eq_21,eq_13]) ).

cnf(eq_24,plain,
    multiply(B,inverse(multiply(multiply(x102,x103,x104),x105,multiply(x102,x103,x106))),multiply(x103,multiply(x106,x105,x104),x102)) = B,
    inference(cp,[status(thm)],[eq_20,eq_0]) ).

cnf(eq_25,plain,
    A = multiply(A,inverse(multiply(multiply(B,C,D),E,multiply(B,C,F))),multiply(C,multiply(F,E,D),B)),
    eq_24 ).

cnf(eq_26,plain,
    A = multiply(inverse(B),A,inverse(inverse(B))),
    eq_23 ).

cnf(eq_27,plain,
    multiply(multiply(x100,inverse(x100),x101),inverse(multiply(B,inverse(B),x106)),multiply(inverse(B),multiply(x106,inverse(C),C),B)) = x101,
    inference(cp,[status(thm)],[eq_22,eq_0]) ).

cnf(eq_28,plain,
    A = multiply(B,inverse(B),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_27,eq_20]),eq_13]),eq_14]) ).

cnf(eq_29,plain,
    A = inverse(inverse(A)),
    inference(cp,[status(thm)],[eq_28,eq_13]) ).

cnf(eq_30,plain,
    multiply(x100,inverse(multiply(multiply(x101,x102,B),inverse(B),multiply(x101,x102,A))),multiply(x102,A,x101)) = x100,
    inference(cp,[status(thm)],[eq_20,eq_25]) ).

cnf(eq_31,plain,
    A = multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),multiply(B,C,E))),multiply(C,E,B)),
    eq_30 ).

cnf(eq_32,plain,
    multiply(A,x101,inverse(inverse(inverse(A)))) = x101,
    inference(cp,[status(thm)],[eq_29,eq_26]) ).

cnf(eq_33,plain,
    A = multiply(B,A,inverse(B)),
    inference(rw,[status(thm)],[eq_32,eq_21]) ).

cnf(eq_34,plain,
    multiply(x100,inverse(multiply(multiply(B,A,x103),inverse(x103),multiply(B,A,inverse(B)))),A) = x100,
    inference(cp,[status(thm)],[eq_20,eq_31]) ).

cnf(eq_35,plain,
    A = multiply(A,inverse(multiply(multiply(B,C,D),inverse(D),C)),C),
    inference(rw,[status(thm)],[eq_34,eq_33]) ).

cnf(eq_36,plain,
    multiply(multiply(B,C,D),inverse(D),C) = C,
    inference(cp,[status(thm)],[eq_35,eq_28]) ).

cnf(eq_37,plain,
    A = multiply(multiply(B,A,C),inverse(C),A),
    eq_36 ).

cnf(eq_38,plain,
    A = multiply(B,A,A),
    inference(cp,[status(thm)],[eq_37,eq_20]) ).

cnf(eq_39,negated_conjecture,
    a != a,
    inference(rw,[status(thm)],[eq_1,eq_38]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : BOO068-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12  % Command  : run_maedmax %d %s
% 0.11/0.33  % Computer : n027.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Tue Jul 26 03:36:35 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 0.76/0.96  % SZS status Unsatisfiable
% 0.76/0.96  % SZS output start CNFRefutation for /tmp/MaedMax_11786
% See solution above
% 0.76/0.96  
%------------------------------------------------------------------------------