%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n014.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 1.39s 1.59s
% Output   : CNFRefutation 1.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   55 (  55 unt;   0 nHn;   6 RR)
%            Number of literals    :   55 (  54 equ;   2 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    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   94 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(B,divide(divide(divide(divide(A,A),A),C),divide(divide(divide(A,A),B),C))),
    file('/tmp/MaedMax_25510') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_25510') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_25510') ).

cnf(eq_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_25510') ).

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(B,divide(divide(inverse(A),C),divide(inverse(B),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,
    A = multiply(B,divide(inverse(B),inverse(A))),
    inference(cp,[status(thm)],[eq_5,eq_1]) ).

cnf(eq_9,plain,
    divide(x100,inverse(divide(inverse(x100),inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_2,eq_5]) ).

cnf(eq_10,plain,
    divide(x100,divide(inverse(B),divide(inverse(x100),B))) = divide(A,A),
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_11,plain,
    divide(divide(A,A),divide(divide(inverse(x101),B),inverse(B))) = x101,
    inference(cp,[status(thm)],[eq_7,eq_5]) ).

cnf(eq_12,plain,
    A = divide(B,inverse(divide(inverse(B),inverse(A)))),
    eq_9 ).

cnf(eq_13,plain,
    divide(A,A) = divide(B,divide(inverse(C),divide(inverse(B),C))),
    eq_10 ).

cnf(eq_14,plain,
    A = inverse(divide(divide(inverse(A),B),inverse(B))),
    inference(rw,[status(thm)],[eq_11,eq_2]) ).

cnf(eq_15,plain,
    A = multiply(B,multiply(inverse(B),A)),
    inference(rw,[status(thm)],[eq_8,eq_4]) ).

cnf(eq_16,plain,
    divide(A,A) = divide(x102,x102),
    inference(cp,[status(thm)],[eq_13,eq_13]) ).

cnf(eq_17,plain,
    divide(A,A) = divide(B,B),
    eq_16 ).

cnf(eq_18,plain,
    divide(x101,divide(B,B)) = x101,
    inference(cp,[status(thm)],[eq_17,eq_5]) ).

cnf(eq_19,plain,
    divide(x100,inverse(divide(B,B))) = x100,
    inference(cp,[status(thm)],[eq_17,eq_12]) ).

cnf(eq_20,plain,
    A = divide(A,divide(B,B)),
    eq_18 ).

cnf(eq_21,plain,
    A = divide(A,inverse(divide(B,B))),
    eq_19 ).

cnf(eq_22,plain,
    inverse(divide(inverse(x100),divide(B,B))) = x100,
    inference(cp,[status(thm)],[eq_21,eq_14]) ).

cnf(eq_23,plain,
    divide(x100,divide(inverse(x101),inverse(x100))) = x101,
    inference(cp,[status(thm)],[eq_20,eq_5]) ).

cnf(eq_24,plain,
    divide(x100,inverse(inverse(x100))) = divide(x102,x102),
    inference(cp,[status(thm)],[eq_20,eq_13]) ).

cnf(eq_25,plain,
    divide(A,A) = divide(B,inverse(inverse(B))),
    eq_24 ).

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

cnf(eq_27,plain,
    A = inverse(divide(inverse(A),divide(B,B))),
    eq_22 ).

cnf(eq_28,plain,
    divide(A,A) = multiply(B,inverse(B)),
    inference(rw,[status(thm)],[eq_25,eq_4]) ).

cnf(eq_29,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_27,eq_20]) ).

cnf(eq_30,plain,
    divide(inverse(A),divide(inverse(x101),A)) = x101,
    inference(cp,[status(thm)],[eq_29,eq_26]) ).

cnf(eq_31,plain,
    divide(inverse(A),inverse(divide(A,inverse(x101)))) = x101,
    inference(cp,[status(thm)],[eq_29,eq_12]) ).

cnf(eq_32,plain,
    inverse(divide(divide(A,x101),inverse(x101))) = inverse(A),
    inference(cp,[status(thm)],[eq_29,eq_14]) ).

cnf(eq_33,plain,
    A = divide(inverse(B),inverse(divide(B,inverse(A)))),
    eq_31 ).

cnf(eq_34,plain,
    inverse(A) = inverse(divide(divide(A,B),inverse(B))),
    eq_32 ).

cnf(eq_35,plain,
    A = divide(inverse(B),divide(inverse(A),B)),
    eq_30 ).

cnf(eq_36,plain,
    divide(inverse(divide(inverse(A),B)),A) = B,
    inference(cp,[status(thm)],[eq_35,eq_35]) ).

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

cnf(eq_38,plain,
    inverse(inverse(A)) = divide(divide(A,B),inverse(B)),
    inference(cp,[status(thm)],[eq_34,eq_29]) ).

cnf(eq_39,plain,
    divide(inverse(A),x100) = inverse(divide(inverse(inverse(x100)),inverse(A))),
    inference(cp,[status(thm)],[eq_12,eq_37]) ).

cnf(eq_40,plain,
    A = divide(divide(A,B),inverse(B)),
    inference(rw,[status(thm)],[eq_38,eq_29]) ).

cnf(eq_41,plain,
    divide(inverse(A),B) = inverse(divide(B,inverse(A))),
    inference(rw,[status(thm)],[eq_39,eq_29]) ).

cnf(eq_42,plain,
    A = multiply(divide(A,B),B),
    inference(rw,[status(thm)],[eq_40,eq_4]) ).

cnf(eq_43,plain,
    A = multiply(inverse(B),multiply(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_33,eq_4]),eq_4]) ).

cnf(eq_44,plain,
    divide(x100,A) = multiply(x100,inverse(A)),
    inference(cp,[status(thm)],[eq_29,eq_4]) ).

cnf(eq_45,plain,
    divide(A,B) = multiply(A,inverse(B)),
    eq_44 ).

cnf(eq_46,plain,
    multiply(multiply(B,inverse(B)),A) = A,
    inference(cp,[status(thm)],[eq_28,eq_42]) ).

cnf(eq_47,plain,
    multiply(inverse(A),inverse(B)) = inverse(multiply(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_45]),eq_45]),eq_29]) ).

cnf(eq_48,plain,
    A = multiply(B,multiply(multiply(inverse(B),inverse(C)),multiply(C,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_45]),eq_45]),eq_45]),eq_45]),eq_46]),eq_46]),eq_45]),eq_45]),eq_45]),eq_47]),eq_29]),eq_29]),eq_45]),eq_47]),eq_47]),eq_47]),eq_29]),eq_29]) ).

cnf(eq_49,plain,
    multiply(x100,multiply(multiply(inverse(x100),inverse(inverse(B))),A)) = multiply(B,A),
    inference(cp,[status(thm)],[eq_43,eq_48]) ).

cnf(eq_50,plain,
    multiply(A,B) = multiply(C,multiply(multiply(inverse(C),A),B)),
    inference(rw,[status(thm)],[eq_49,eq_29]) ).

cnf(eq_51,plain,
    multiply(x100,multiply(A,B)) = multiply(multiply(inverse(inverse(x100)),A),B),
    inference(cp,[status(thm)],[eq_50,eq_15]) ).

cnf(eq_52,plain,
    multiply(A,multiply(B,C)) = multiply(multiply(A,B),C),
    inference(rw,[status(thm)],[eq_51,eq_29]) ).

cnf(eq_53,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_52,eq_3]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_53]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : GRP450-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.11/0.33  % Computer : n014.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 04:19:10 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 1.39/1.59  % SZS status Unsatisfiable
% 1.39/1.59  % SZS output start CNFRefutation for /tmp/MaedMax_25510
% See solution above
% 1.39/1.59  
%------------------------------------------------------------------------------