%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n021.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 07:02:51 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    2
% Syntax   : Number of clauses     :   27 (  27 unt;   0 nHn;   6 RR)
%            Number of literals    :   27 (  26 equ;   5 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   54 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = multiply(B,multiply(multiply(inverse(multiply(B,C)),A),C)),
    file('/tmp/MaedMax_23015') ).

cnf(eq_1,negated_conjecture,
    multiply(multiply(inverse(b2),b2),a2) != a2,
    file('/tmp/MaedMax_23015') ).

cnf(eq_2,plain,
    multiply(x100,multiply(A,x101)) = multiply(multiply(inverse(multiply(inverse(multiply(x100,x101)),C)),A),C),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    multiply(B,multiply(multiply(inverse(A),x102),multiply(multiply(inverse(multiply(B,C)),A),C))) = x102,
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_4,plain,
    A = multiply(B,multiply(multiply(inverse(C),A),multiply(multiply(inverse(multiply(B,x3)),C),x3))),
    eq_3 ).

cnf(eq_5,plain,
    multiply(A,multiply(B,C)) = multiply(multiply(inverse(multiply(inverse(multiply(A,C)),x3)),B),x3),
    eq_2 ).

cnf(eq_6,plain,
    multiply(multiply(inverse(A),x102),A) = x102,
    inference(cp,[status(thm)],[eq_0,eq_4]) ).

cnf(eq_7,plain,
    multiply(inverse(multiply(A,C)),multiply(A,multiply(B,C))) = B,
    inference(cp,[status(thm)],[eq_5,eq_0]) ).

cnf(eq_8,plain,
    A = multiply(inverse(multiply(B,C)),multiply(B,multiply(A,C))),
    eq_7 ).

cnf(eq_9,plain,
    A = multiply(multiply(inverse(B),A),B),
    eq_6 ).

cnf(eq_10,plain,
    multiply(A,x100) = multiply(multiply(inverse(multiply(inverse(x100),C)),A),C),
    inference(cp,[status(thm)],[eq_0,eq_9]) ).

cnf(eq_11,plain,
    multiply(inverse(multiply(inverse(multiply(B,C)),multiply(A,C))),A) = B,
    inference(cp,[status(thm)],[eq_8,eq_8]) ).

cnf(eq_12,plain,
    multiply(inverse(multiply(multiply(inverse(multiply(x102,x101)),A),x101)),A) = x102,
    inference(cp,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_13,plain,
    multiply(inverse(multiply(x100,B)),multiply(x100,A)) = multiply(inverse(B),A),
    inference(cp,[status(thm)],[eq_9,eq_8]) ).

cnf(eq_14,plain,
    multiply(A,B) = multiply(multiply(inverse(multiply(inverse(B),C)),A),C),
    eq_10 ).

cnf(eq_15,plain,
    multiply(inverse(A),B) = multiply(inverse(multiply(C,A)),multiply(C,B)),
    eq_13 ).

cnf(eq_16,plain,
    A = multiply(inverse(multiply(multiply(inverse(multiply(A,B)),C),B)),C),
    eq_12 ).

cnf(eq_17,plain,
    A = multiply(inverse(multiply(inverse(multiply(A,B)),multiply(C,B))),C),
    eq_11 ).

cnf(eq_18,plain,
    multiply(inverse(multiply(A,B)),A) = inverse(B),
    inference(cp,[status(thm)],[eq_14,eq_16]) ).

cnf(eq_19,plain,
    multiply(inverse(multiply(inverse(B),B)),C) = C,
    inference(cp,[status(thm)],[eq_15,eq_17]) ).

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

cnf(eq_21,negated_conjecture,
    multiply(multiply(multiply(inverse(multiply(inverse(b2),C)),inverse(b2)),C),a2) != a2,
    inference(cp,[status(thm)],[eq_14,eq_1]) ).

cnf(eq_22,negated_conjecture,
    multiply(multiply(multiply(inverse(multiply(inverse(b2),A)),inverse(b2)),A),a2) != a2,
    eq_21 ).

cnf(eq_23,plain,
    multiply(A,multiply(inverse(B),B)) = A,
    inference(cp,[status(thm)],[eq_18,eq_0]) ).

cnf(eq_24,negated_conjecture,
    multiply(multiply(inverse(multiply(inverse(b2),multiply(inverse(B),B))),inverse(b2)),a2) != a2,
    inference(cp,[status(thm)],[eq_23,eq_22]) ).

cnf(eq_25,negated_conjecture,
    a2 != a2,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_24,eq_18]),eq_20]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_25]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : GRP518-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13  % Command  : run_maedmax %d %s
% 0.13/0.34  % Computer : n021.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Tue Jul 26 04:20:07 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.46/0.66  % SZS status Unsatisfiable
% 0.46/0.66  % SZS output start CNFRefutation for /tmp/MaedMax_23015
% See solution above
% 0.46/0.66  
%------------------------------------------------------------------------------