%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n003.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 07:02:52 EDT 2022

% Result   : Unsatisfiable 0.89s 1.10s
% Output   : CNFRefutation 0.89s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   51 (  51 unt;   0 nHn;   9 RR)
%            Number of literals    :   51 (  50 equ;   8 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   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   :   82 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = divide(B,divide(divide(B,C),divide(A,C))),
    file('/tmp/MaedMax_23228') ).

cnf(eq_1,axiom,
    divide(A,divide(divide(B,B),C)) = multiply(A,C),
    file('/tmp/MaedMax_23228') ).

cnf(eq_2,axiom,
    divide(divide(A,A),B) = inverse(B),
    file('/tmp/MaedMax_23228') ).

cnf(eq_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/tmp/MaedMax_23228') ).

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

cnf(eq_5,plain,
    divide(A,inverse(divide(x102,A))) = x102,
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_6,plain,
    divide(x100,A) = divide(divide(x100,divide(A,C)),C),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_7,plain,
    divide(x100,divide(divide(x100,B),inverse(B))) = divide(A,A),
    inference(cp,[status(thm)],[eq_2,eq_0]) ).

cnf(eq_8,plain,
    A = inverse(divide(divide(divide(x100,x100),C),divide(A,C))),
    inference(cp,[status(thm)],[eq_0,eq_2]) ).

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

cnf(eq_10,plain,
    A = inverse(divide(inverse(B),divide(A,B))),
    inference(rw,[status(thm)],[eq_8,eq_2]) ).

cnf(eq_11,plain,
    divide(inverse(divide(A,A)),B) = inverse(B),
    eq_9 ).

cnf(eq_12,plain,
    divide(A,A) = divide(B,divide(divide(B,C),inverse(C))),
    eq_7 ).

cnf(eq_13,plain,
    divide(A,B) = divide(divide(A,divide(B,C)),C),
    eq_6 ).

cnf(eq_14,plain,
    A = divide(B,inverse(divide(A,B))),
    eq_5 ).

cnf(eq_15,plain,
    A = multiply(B,divide(A,B)),
    inference(cp,[status(thm)],[eq_14,eq_4]) ).

cnf(eq_16,plain,
    divide(A,A) = divide(x102,x102),
    inference(cp,[status(thm)],[eq_12,eq_12]) ).

cnf(eq_17,plain,
    divide(divide(A,B),A) = inverse(B),
    inference(cp,[status(thm)],[eq_10,eq_14]) ).

cnf(eq_18,plain,
    divide(C,inverse(divide(A,B))) = divide(A,divide(B,C)),
    inference(cp,[status(thm)],[eq_13,eq_14]) ).

cnf(eq_19,plain,
    inverse(A) = divide(inverse(divide(A,C)),C),
    inference(cp,[status(thm)],[eq_0,eq_10]) ).

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

cnf(eq_21,plain,
    divide(A,A) = divide(B,B),
    eq_16 ).

cnf(eq_22,plain,
    divide(inverse(divide(A,B)),B) = inverse(A),
    eq_19 ).

cnf(eq_23,negated_conjecture,
    divide(a3,inverse(multiply(b3,c3))) != multiply(multiply(a3,b3),c3),
    inference(cp,[status(thm)],[eq_4,eq_3]) ).

cnf(eq_24,plain,
    divide(divide(x102,B),inverse(B)) = x102,
    inference(cp,[status(thm)],[eq_17,eq_0]) ).

cnf(eq_25,plain,
    divide(x100,divide(B,B)) = x100,
    inference(cp,[status(thm)],[eq_21,eq_0]) ).

cnf(eq_26,plain,
    divide(C,B) = inverse(divide(B,C)),
    inference(cp,[status(thm)],[eq_13,eq_17]) ).

cnf(eq_27,plain,
    multiply(A,inverse(B)) = divide(A,B),
    inference(cp,[status(thm)],[eq_17,eq_15]) ).

cnf(eq_28,plain,
    A = multiply(divide(A,B),B),
    inference(rw,[status(thm)],[eq_24,eq_4]) ).

cnf(eq_29,plain,
    A = divide(A,divide(B,B)),
    eq_25 ).

cnf(eq_30,plain,
    divide(A,B) = multiply(A,inverse(B)),
    eq_27 ).

cnf(eq_31,plain,
    divide(A,B) = inverse(divide(B,A)),
    eq_26 ).

cnf(eq_32,plain,
    A = divide(divide(A,B),inverse(B)),
    inference(rw,[status(thm)],[eq_28,eq_4]) ).

cnf(eq_33,negated_conjecture,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_23,eq_4]),eq_4]),eq_4]) ).

cnf(eq_34,plain,
    inverse(divide(inverse(divide(B,B)),A)) = A,
    inference(cp,[status(thm)],[eq_29,eq_10]) ).

cnf(eq_35,plain,
    A = inverse(inverse(A)),
    inference(rw,[status(thm)],[eq_34,eq_11]) ).

cnf(eq_36,plain,
    A = multiply(B,multiply(A,inverse(B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_14,eq_30]),eq_30]),eq_35]) ).

cnf(eq_37,plain,
    A = multiply(multiply(A,inverse(B)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_32,eq_30]),eq_30]),eq_35]) ).

cnf(eq_38,plain,
    multiply(x100,A) = multiply(A,inverse(inverse(x100))),
    inference(cp,[status(thm)],[eq_37,eq_36]) ).

cnf(eq_39,plain,
    multiply(multiply(x100,A),inverse(A)) = x100,
    inference(cp,[status(thm)],[eq_35,eq_37]) ).

cnf(eq_40,plain,
    A = multiply(multiply(A,B),inverse(B)),
    eq_39 ).

cnf(eq_41,plain,
    multiply(A,B) = multiply(B,A),
    inference(rw,[status(thm)],[eq_38,eq_35]) ).

cnf(eq_42,plain,
    A = divide(divide(A,inverse(B)),B),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_40,eq_4]),eq_4]),eq_35]) ).

cnf(eq_43,plain,
    divide(A,inverse(B)) = divide(B,inverse(A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_41,eq_4]),eq_4]) ).

cnf(eq_44,plain,
    divide(inverse(A),B) = inverse(divide(A,inverse(B))),
    inference(cp,[status(thm)],[eq_42,eq_22]) ).

cnf(eq_45,negated_conjecture,
    divide(c3,inverse(divide(a3,inverse(b3)))) != divide(a3,inverse(divide(b3,inverse(c3)))),
    inference(cp,[status(thm)],[eq_43,eq_33]) ).

cnf(eq_46,negated_conjecture,
    divide(a3,inverse(divide(b3,inverse(c3)))) != divide(c3,inverse(divide(a3,inverse(b3)))),
    eq_45 ).

cnf(eq_47,negated_conjecture,
    divide(a3,divide(inverse(c3),b3)) != divide(c3,divide(inverse(b3),a3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_46,eq_31]),eq_31]) ).

cnf(eq_48,negated_conjecture,
    divide(a3,inverse(divide(c3,inverse(b3)))) != divide(a3,divide(inverse(c3),b3)),
    inference(cp,[status(thm)],[eq_20,eq_47]) ).

cnf(eq_49,negated_conjecture,
    divide(a3,inverse(divide(c3,inverse(b3)))) != divide(a3,inverse(divide(c3,inverse(b3)))),
    inference(rw,[status(thm)],[eq_48,eq_44]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GRP527-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Tue Jul 26 04:22:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.89/1.10  % SZS status Unsatisfiable
% 0.89/1.10  % SZS output start CNFRefutation for /tmp/MaedMax_23228
% See solution above
% 0.89/1.10  
%------------------------------------------------------------------------------