TSTP Solution File: LAT392-1 by MaedMax---1.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : MaedMax---1.4
% Problem  : LAT392-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_maedmax %d %s

% Computer : n019.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 07:06:07 EDT 2022

% Result   : Unsatisfiable 13.87s 14.04s
% Output   : CNFRefutation 13.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  114 ( 114 unt;   0 nHn;   7 RR)
%            Number of literals    :  114 ( 113 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   20 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :  273 (  64 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(eq_0,axiom,
    A = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),C),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),C))),
    file('/tmp/MaedMax_2846') ).

cnf(eq_1,negated_conjecture,
    plus(plus(mult(a,b),mult(b,c)),b) != b,
    file('/tmp/MaedMax_2846') ).

cnf(eq_2,plain,
    mult(plus(mult(plus(x100,mult(plus(B,A),plus(A,mult(B,A)))),plus(mult(plus(B,A),plus(A,mult(B,A))),mult(x100,mult(plus(B,A),plus(A,mult(B,A)))))),x102),plus(mult(plus(x100,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,A),plus(A,mult(B,A)))),plus(mult(plus(B,A),plus(A,mult(B,A))),x104)),mult(plus(B,A),plus(A,mult(B,A))))),plus(A,mult(x100,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,A),plus(A,mult(B,A)))),plus(mult(plus(B,A),plus(A,mult(B,A))),x104)),mult(plus(B,A),plus(A,mult(B,A))))))),mult(mult(plus(x100,mult(plus(B,A),plus(A,mult(B,A)))),plus(mult(plus(B,A),plus(A,mult(B,A))),mult(x100,mult(plus(B,A),plus(A,mult(B,A)))))),x102))) = mult(plus(B,A),plus(A,mult(B,A))),
    inference(cp,[status(thm)],[eq_0,eq_0]) ).

cnf(eq_3,plain,
    mult(plus(A,B),plus(B,mult(A,B))) = mult(plus(mult(plus(C,mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(C,mult(plus(A,B),plus(B,mult(A,B)))))),D),plus(mult(plus(C,mult(mult(plus(mult(plus(A,B),plus(B,mult(A,B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),E)),mult(plus(A,B),plus(B,mult(A,B))))),plus(B,mult(C,mult(mult(plus(mult(plus(A,B),plus(B,mult(A,B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),E)),mult(plus(A,B),plus(B,mult(A,B))))))),mult(mult(plus(C,mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(C,mult(plus(A,B),plus(B,mult(A,B)))))),D))),
    eq_2 ).

cnf(eq_4,plain,
    mult(plus(mult(plus(x100,mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))),plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),mult(x100,mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))))),x103),plus(mult(plus(x100,mult(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))),plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),x104)),mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(x100,mult(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))),plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),x104)),mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))))))),mult(mult(plus(x100,mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))),plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),mult(x100,A))),x103))) = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),
    inference(cp,[status(thm)],[eq_0,eq_3]) ).

cnf(eq_5,plain,
    A = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),C),plus(mult(plus(B,mult(mult(plus(A,A),plus(A,D)),A)),plus(mult(plus(E,mult(mult(plus(F,A),plus(A,V6)),A)),plus(mult(plus(A,plus(plus(mult(F,mult(A,V6)),mult(V7,A)),A)),plus(x8,mult(A,plus(plus(mult(A,x9),mult(V7,A)),A)))),mult(E,mult(mult(plus(F,A),plus(A,V6)),A)))),mult(B,mult(mult(plus(A,A),plus(A,D)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),C))),
    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_4,eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]),eq_0]) ).

cnf(eq_6,plain,
    mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),x102),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),x102))) = A,
    inference(cp,[status(thm)],[eq_0,eq_5]) ).

cnf(eq_7,plain,
    A = mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),C),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),C))),
    eq_6 ).

cnf(eq_8,plain,
    mult(plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),mult(plus(x101,A),plus(A,mult(x101,A)))),plus(mult(plus(x101,A),plus(A,mult(x101,A))),mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),mult(plus(x101,A),plus(A,mult(x101,A)))))),x103),plus(A,mult(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),mult(plus(x101,A),plus(A,mult(x101,A)))),plus(mult(plus(x101,A),plus(A,mult(x101,A))),mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),mult(plus(x101,A),plus(A,mult(x101,A)))))),x103))) = mult(plus(x101,A),plus(A,mult(x101,A))),
    inference(cp,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_9,plain,
    mult(plus(mult(plus(x100,mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A)))),plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),mult(x100,mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A)))))),x103),plus(mult(plus(x100,mult(mult(plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A)))),plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),x104)),mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))))),plus(A,mult(x100,mult(mult(plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A)))),plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),x104)),mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))))))),mult(mult(plus(x100,mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A)))),plus(mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),mult(x100,A))),x103))) = mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A),plus(A,mult(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),A))),
    inference(cp,[status(thm)],[eq_7,eq_3]) ).

cnf(eq_10,plain,
    mult(plus(C,x102),plus(C,mult(mult(plus(mult(plus(mult(plus(B,C),plus(C,mult(B,C))),C),plus(C,mult(mult(plus(B,C),plus(C,mult(B,C))),C))),C),plus(C,mult(mult(plus(mult(plus(B,C),plus(C,mult(B,C))),C),plus(C,mult(mult(plus(B,C),plus(C,mult(B,C))),C))),C))),x102))) = C,
    inference(cp,[status(thm)],[eq_7,eq_7]) ).

cnf(eq_11,plain,
    A = mult(plus(A,B),plus(A,mult(A,B))),
    inference(rw,[status(thm)],[eq_10,eq_7]) ).

cnf(eq_12,plain,
    mult(plus(A,B),plus(B,mult(A,B))) = mult(plus(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),D),plus(B,mult(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),D))),
    eq_8 ).

cnf(eq_13,plain,
    A = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),C),plus(mult(plus(B,mult(mult(plus(A,A),plus(A,D)),A)),plus(A,mult(B,mult(mult(plus(A,A),plus(A,D)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),C))),
    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_9,eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]),eq_7]) ).

cnf(eq_14,plain,
    mult(plus(plus(A,B),plus(A,mult(A,B))),plus(plus(A,B),A)) = plus(A,B),
    inference(cp,[status(thm)],[eq_11,eq_11]) ).

cnf(eq_15,plain,
    mult(plus(mult(plus(x100,B),plus(B,mult(x100,B))),x102),plus(mult(plus(x100,mult(mult(plus(B,B),plus(B,mult(B,B))),B)),plus(B,mult(x100,mult(B,B)))),mult(mult(plus(x100,B),plus(B,mult(x100,B))),x102))) = B,
    inference(cp,[status(thm)],[eq_11,eq_13]) ).

cnf(eq_16,plain,
    mult(plus(mult(plus(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),B),plus(B,mult(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),B))),x102),plus(mult(plus(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),mult(mult(plus(B,B),plus(B,x103)),B)),plus(B,mult(mult(plus(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))),plus(mult(plus(A,B),plus(B,mult(A,B))),mult(mult(plus(mult(plus(C,B),plus(B,mult(C,B))),B),plus(B,mult(mult(plus(C,B),plus(B,mult(C,B))),B))),mult(plus(A,B),plus(B,mult(A,B)))))),mult(mult(plus(B,B),plus(B,x103)),B)))),mult(mult(plus(A,B),plus(B,mult(A,B))),x102))) = B,
    inference(cp,[status(thm)],[eq_12,eq_13]) ).

cnf(eq_17,plain,
    mult(plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))))),x102),plus(mult(plus(mult(plus(B,A),plus(A,mult(B,A))),mult(mult(plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),x103)),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),mult(mult(plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A))))),plus(mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),x103)),mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))))))),mult(A,x102))) = mult(plus(B,mult(mult(plus(D,A),plus(A,E)),A)),plus(mult(plus(A,plus(plus(mult(D,mult(A,E)),mult(F,A)),A)),plus(V6,mult(A,plus(plus(mult(A,V7),mult(F,A)),A)))),mult(B,mult(mult(plus(D,A),plus(A,E)),A)))),
    inference(cp,[status(thm)],[eq_0,eq_13]) ).

cnf(eq_18,plain,
    mult(plus(mult(plus(mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101))),mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101)))),plus(mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101))),mult(mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101))),mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101)))))),x103),plus(x101,mult(mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101))),x103))) = mult(plus(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101),plus(x101,mult(mult(plus(x100,x101),plus(x101,mult(x100,x101))),x101))),
    inference(cp,[status(thm)],[eq_11,eq_12]) ).

cnf(eq_19,plain,
    A = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),A),plus(A,mult(mult(plus(B,A),plus(A,mult(B,A))),A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_18,eq_11]),eq_7]) ).

cnf(eq_20,plain,
    A = mult(plus(B,A),plus(A,mult(B,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_16,eq_12]),eq_12]),eq_11]) ).

cnf(eq_21,plain,
    A = mult(plus(mult(plus(B,A),plus(A,mult(B,A))),C),plus(mult(plus(B,mult(A,A)),plus(A,mult(B,mult(A,A)))),mult(mult(plus(B,A),plus(A,mult(B,A))),C))),
    inference(rw,[status(thm)],[eq_15,eq_11]) ).

cnf(eq_22,plain,
    A = mult(plus(B,mult(mult(plus(C,A),plus(A,D)),A)),plus(mult(plus(A,plus(plus(mult(C,mult(A,D)),mult(E,A)),A)),plus(F,mult(A,plus(plus(mult(A,V6),mult(E,A)),A)))),mult(B,mult(mult(plus(C,A),plus(A,D)),A)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_17,eq_0]),eq_0]),eq_11]) ).

cnf(eq_23,plain,
    A = mult(plus(A,plus(plus(mult(C,mult(A,D)),mult(E,A)),A)),plus(F,mult(A,plus(plus(mult(A,V6),mult(E,A)),A)))),
    inference(cp,[status(thm)],[eq_22,eq_11]) ).

cnf(eq_24,plain,
    A = mult(plus(B,mult(A,A)),plus(A,mult(B,mult(A,A)))),
    inference(cp,[status(thm)],[eq_21,eq_20]) ).

cnf(eq_25,plain,
    A = mult(plus(A,plus(plus(mult(B,mult(A,C)),mult(D,A)),A)),plus(E,mult(A,plus(plus(mult(A,F),mult(D,A)),A)))),
    eq_23 ).

cnf(eq_26,plain,
    A = mult(plus(B,mult(mult(plus(C,A),plus(A,D)),A)),plus(A,mult(B,mult(mult(plus(C,A),plus(A,D)),A)))),
    inference(rw,[status(thm)],[eq_22,eq_25]) ).

cnf(eq_27,plain,
    A = mult(plus(A,B),plus(mult(plus(C,mult(mult(plus(D,A),plus(A,E)),A)),plus(A,mult(C,mult(mult(plus(D,A),plus(A,E)),A)))),mult(A,B))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_0,eq_20]),eq_25]),eq_20]) ).

cnf(eq_28,plain,
    A = plus(plus(mult(A,mult(A,C)),mult(D,A)),A),
    inference(cp,[status(thm)],[eq_25,eq_20]) ).

cnf(eq_29,plain,
    A = plus(plus(mult(A,mult(A,B)),mult(C,A)),A),
    eq_28 ).

cnf(eq_30,plain,
    mult(plus(A,plus(plus(mult(x101,mult(A,x102)),mult(C,A)),A)),plus(x104,mult(A,A))) = A,
    inference(cp,[status(thm)],[eq_29,eq_25]) ).

cnf(eq_31,plain,
    mult(A,plus(A,mult(plus(mult(A,mult(A,B)),mult(C,A)),A))) = A,
    inference(cp,[status(thm)],[eq_29,eq_20]) ).

cnf(eq_32,plain,
    mult(mult(x101,x101),plus(x101,mult(plus(mult(mult(x101,x101),mult(mult(x101,x101),B)),mult(C,mult(x101,x101))),mult(x101,x101)))) = x101,
    inference(cp,[status(thm)],[eq_29,eq_24]) ).

cnf(eq_33,plain,
    plus(plus(mult(plus(A,B),A),mult(x102,plus(A,B))),plus(A,B)) = plus(A,B),
    inference(cp,[status(thm)],[eq_27,eq_29]) ).

cnf(eq_34,plain,
    plus(plus(mult(plus(B,A),A),mult(x102,plus(B,A))),plus(B,A)) = plus(B,A),
    inference(cp,[status(thm)],[eq_20,eq_29]) ).

cnf(eq_35,plain,
    plus(plus(mult(plus(A,mult(B,A)),mult(plus(A,mult(B,A)),x101)),A),plus(A,mult(B,A))) = plus(A,mult(B,A)),
    inference(cp,[status(thm)],[eq_20,eq_29]) ).

cnf(eq_36,plain,
    A = mult(plus(A,plus(plus(mult(B,mult(A,C)),mult(D,A)),A)),plus(E,mult(A,A))),
    eq_30 ).

cnf(eq_37,plain,
    plus(A,B) = plus(plus(mult(plus(A,B),A),mult(C,plus(A,B))),plus(A,B)),
    eq_33 ).

cnf(eq_38,plain,
    plus(A,mult(B,A)) = plus(plus(mult(plus(A,mult(B,A)),mult(plus(A,mult(B,A)),C)),A),plus(A,mult(B,A))),
    eq_35 ).

cnf(eq_39,plain,
    A = mult(mult(A,A),plus(A,mult(plus(mult(mult(A,A),mult(mult(A,A),B)),mult(C,mult(A,A))),mult(A,A)))),
    eq_32 ).

cnf(eq_40,plain,
    plus(A,B) = plus(plus(mult(plus(A,B),B),mult(C,plus(A,B))),plus(A,B)),
    eq_34 ).

cnf(eq_41,plain,
    plus(plus(mult(mult(A,A),A),mult(x102,mult(A,A))),mult(A,A)) = mult(A,A),
    inference(cp,[status(thm)],[eq_39,eq_29]) ).

cnf(eq_42,plain,
    plus(plus(mult(plus(x100,mult(x101,x100)),plus(x100,mult(x101,x100))),x100),plus(x100,mult(x101,x100))) = plus(x100,mult(x101,x100)),
    inference(cp,[status(thm)],[eq_31,eq_38]) ).

cnf(eq_43,plain,
    mult(plus(A,A),plus(x104,mult(A,A))) = A,
    inference(cp,[status(thm)],[eq_29,eq_36]) ).

cnf(eq_44,plain,
    plus(plus(mult(mult(A,A),A),mult(B,mult(A,A))),mult(A,A)) = mult(A,A),
    eq_41 ).

cnf(eq_45,plain,
    A = mult(plus(A,A),plus(B,mult(A,A))),
    eq_43 ).

cnf(eq_46,plain,
    A = mult(A,A),
    inference(cp,[status(thm)],[eq_24,eq_45]) ).

cnf(eq_47,plain,
    mult(mult(plus(x101,B),plus(B,x103)),B) = B,
    inference(cp,[status(thm)],[eq_45,eq_26]) ).

cnf(eq_48,plain,
    A = mult(mult(plus(B,A),plus(A,C)),A),
    eq_47 ).

cnf(eq_49,plain,
    A = plus(A,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_19,eq_20]),eq_20]),eq_46]),eq_46]) ).

cnf(eq_50,plain,
    A = mult(plus(A,A),plus(B,A)),
    inference(rw,[status(thm)],[eq_45,eq_46]) ).

cnf(eq_51,plain,
    A = plus(plus(A,mult(B,A)),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_44,eq_46]),eq_46]),eq_46]),eq_46]),eq_46]) ).

cnf(eq_52,plain,
    plus(plus(mult(A,mult(A,x101)),A),A) = A,
    inference(cp,[status(thm)],[eq_48,eq_29]) ).

cnf(eq_53,plain,
    plus(plus(mult(plus(x100,x101),x100),plus(x100,x101)),plus(x100,x101)) = plus(x100,x101),
    inference(cp,[status(thm)],[eq_48,eq_37]) ).

cnf(eq_54,plain,
    mult(mult(A,plus(A,x102)),A) = A,
    inference(cp,[status(thm)],[eq_29,eq_48]) ).

cnf(eq_55,plain,
    A = plus(plus(mult(A,mult(A,B)),A),A),
    eq_52 ).

cnf(eq_56,plain,
    A = mult(mult(A,plus(A,B)),A),
    eq_54 ).

cnf(eq_57,plain,
    mult(plus(mult(A,plus(A,B)),A),plus(mult(A,plus(A,B)),A)) = mult(A,plus(A,B)),
    inference(cp,[status(thm)],[eq_56,eq_11]) ).

cnf(eq_58,plain,
    mult(mult(plus(x100,A),A),A) = A,
    inference(cp,[status(thm)],[eq_49,eq_48]) ).

cnf(eq_59,plain,
    mult(A,plus(x101,A)) = A,
    inference(cp,[status(thm)],[eq_49,eq_50]) ).

cnf(eq_60,plain,
    A = mult(A,plus(B,A)),
    eq_59 ).

cnf(eq_61,plain,
    A = mult(mult(plus(B,A),A),A),
    eq_58 ).

cnf(eq_62,plain,
    plus(mult(A,plus(A,B)),A) = mult(A,plus(A,B)),
    inference(rw,[status(thm)],[eq_57,eq_46]) ).

cnf(eq_63,plain,
    mult(plus(mult(plus(B,A),A),A),plus(mult(plus(B,A),A),A)) = mult(plus(B,A),A),
    inference(cp,[status(thm)],[eq_61,eq_11]) ).

cnf(eq_64,plain,
    mult(plus(x100,B),B) = B,
    inference(cp,[status(thm)],[eq_60,eq_48]) ).

cnf(eq_65,plain,
    plus(mult(plus(A,B),B),B) = mult(plus(A,B),B),
    inference(rw,[status(thm)],[eq_63,eq_46]) ).

cnf(eq_66,plain,
    A = mult(plus(B,A),A),
    eq_64 ).

cnf(eq_67,plain,
    plus(A,plus(A,mult(B,A))) = plus(A,mult(B,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_42,eq_46]),eq_51]) ).

cnf(eq_68,plain,
    plus(plus(A,mult(x102,plus(B,A))),plus(B,A)) = plus(B,A),
    inference(cp,[status(thm)],[eq_66,eq_40]) ).

cnf(eq_69,plain,
    mult(plus(plus(B,A),A),plus(plus(B,A),A)) = plus(B,A),
    inference(cp,[status(thm)],[eq_66,eq_11]) ).

cnf(eq_70,plain,
    plus(A,A) = mult(plus(B,A),A),
    inference(cp,[status(thm)],[eq_66,eq_65]) ).

cnf(eq_71,plain,
    plus(A,B) = plus(plus(B,mult(C,plus(A,B))),plus(A,B)),
    eq_68 ).

cnf(eq_72,plain,
    plus(A,B) = plus(plus(A,B),B),
    inference(rw,[status(thm)],[eq_69,eq_46]) ).

cnf(eq_73,plain,
    A = plus(mult(A,mult(A,B)),A),
    inference(rw,[status(thm)],[eq_55,eq_72]) ).

cnf(eq_74,plain,
    plus(A,B) = plus(mult(plus(A,B),A),plus(A,B)),
    inference(rw,[status(thm)],[eq_53,eq_72]) ).

cnf(eq_75,plain,
    mult(plus(plus(A,plus(A,mult(B,A))),plus(A,mult(A,plus(A,mult(B,A))))),plus(plus(A,mult(B,A)),A)) = plus(A,plus(A,mult(B,A))),
    inference(cp,[status(thm)],[eq_67,eq_14]) ).

cnf(eq_76,plain,
    plus(mult(mult(A,plus(A,B)),A),mult(A,plus(A,B))) = mult(A,plus(A,B)),
    inference(cp,[status(thm)],[eq_56,eq_73]) ).

cnf(eq_77,plain,
    plus(mult(plus(B,A),A),plus(B,A)) = plus(B,A),
    inference(cp,[status(thm)],[eq_20,eq_73]) ).

cnf(eq_78,plain,
    plus(mult(A,plus(A,mult(B,A))),plus(plus(A,mult(B,A)),A)) = plus(plus(A,mult(B,A)),A),
    inference(cp,[status(thm)],[eq_51,eq_74]) ).

cnf(eq_79,plain,
    plus(A,B) = plus(B,plus(A,B)),
    inference(rw,[status(thm)],[eq_77,eq_66]) ).

cnf(eq_80,plain,
    A = mult(A,plus(A,mult(B,A))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_78,eq_51]),eq_62]),eq_51]) ).

cnf(eq_81,plain,
    plus(A,mult(A,plus(A,B))) = mult(A,plus(A,B)),
    inference(rw,[status(thm)],[eq_76,eq_56]) ).

cnf(eq_82,plain,
    A = mult(plus(plus(mult(B,mult(A,C)),mult(D,A)),A),plus(E,A)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_36,eq_79]),eq_46]) ).

cnf(eq_83,plain,
    mult(plus(A,plus(A,B)),mult(A,plus(A,B))) = A,
    inference(cp,[status(thm)],[eq_81,eq_11]) ).

cnf(eq_84,plain,
    A = plus(A,mult(B,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)],[eq_75,eq_67]),eq_80]),eq_51]),eq_49]),eq_51]),eq_46]),eq_67]) ).

cnf(eq_85,plain,
    plus(mult(B,A),A) = plus(A,mult(B,A)),
    inference(cp,[status(thm)],[eq_84,eq_79]) ).

cnf(eq_86,plain,
    mult(A,mult(B,A)) = plus(mult(B,A),mult(B,A)),
    inference(cp,[status(thm)],[eq_84,eq_70]) ).

cnf(eq_87,plain,
    mult(plus(mult(A,mult(A,B)),plus(mult(A,mult(A,B)),A)),mult(mult(A,mult(A,B)),A)) = mult(A,mult(A,B)),
    inference(cp,[status(thm)],[eq_73,eq_83]) ).

cnf(eq_88,plain,
    plus(A,mult(B,A)) = plus(mult(B,A),A),
    eq_85 ).

cnf(eq_89,plain,
    mult(A,B) = mult(B,mult(A,B)),
    inference(rw,[status(thm)],[eq_86,eq_49]) ).

cnf(eq_90,plain,
    A = plus(mult(B,A),A),
    inference(rw,[status(thm)],[eq_88,eq_84]) ).

cnf(eq_91,plain,
    mult(plus(plus(A,B),A),plus(A,B)) = mult(plus(plus(A,B),plus(A,mult(A,B))),plus(plus(A,B),A)),
    inference(cp,[status(thm)],[eq_14,eq_89]) ).

cnf(eq_92,plain,
    mult(A,mult(A,B)) = mult(mult(A,mult(A,B)),A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_87,eq_73]),eq_73]),eq_89]) ).

cnf(eq_93,plain,
    plus(A,B) = mult(plus(plus(A,B),A),plus(A,B)),
    inference(rw,[status(thm)],[eq_91,eq_14]) ).

cnf(eq_94,plain,
    plus(A,mult(A,mult(A,B))) = A,
    inference(cp,[status(thm)],[eq_92,eq_84]) ).

cnf(eq_95,plain,
    mult(plus(A,B),A) = A,
    inference(cp,[status(thm)],[eq_93,eq_48]) ).

cnf(eq_96,plain,
    plus(plus(A,B),mult(plus(A,B),A)) = plus(A,B),
    inference(cp,[status(thm)],[eq_95,eq_94]) ).

cnf(eq_97,plain,
    mult(mult(plus(A,B),A),plus(A,B)) = mult(plus(A,B),mult(plus(A,B),A)),
    inference(cp,[status(thm)],[eq_95,eq_92]) ).

cnf(eq_98,plain,
    plus(A,B) = plus(plus(A,B),A),
    inference(rw,[status(thm)],[eq_96,eq_95]) ).

cnf(eq_99,plain,
    A = mult(A,plus(A,B)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_97,eq_95]),eq_95]),eq_95]) ).

cnf(eq_100,plain,
    plus(A,plus(A,B)) = plus(plus(A,B),A),
    inference(cp,[status(thm)],[eq_98,eq_79]) ).

cnf(eq_101,plain,
    plus(plus(B,A),plus(A,B)) = plus(A,B),
    inference(cp,[status(thm)],[eq_99,eq_71]) ).

cnf(eq_102,plain,
    mult(mult(plus(A,B),plus(A,x102)),A) = A,
    inference(cp,[status(thm)],[eq_98,eq_48]) ).

cnf(eq_103,plain,
    A = mult(mult(plus(A,B),plus(A,C)),A),
    eq_102 ).

cnf(eq_104,plain,
    plus(plus(A,B),plus(B,A)) = plus(plus(B,A),plus(plus(B,A),plus(A,B))),
    inference(cp,[status(thm)],[eq_101,eq_100]) ).

cnf(eq_105,plain,
    mult(mult(plus(mult(B,A),x101),A),mult(B,A)) = mult(B,A),
    inference(cp,[status(thm)],[eq_90,eq_103]) ).

cnf(eq_106,plain,
    plus(A,B) = plus(B,A),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_104,eq_101]),eq_101]),eq_101]) ).

cnf(eq_107,plain,
    mult(A,B) = mult(mult(plus(mult(A,B),C),B),mult(A,B)),
    eq_105 ).

cnf(eq_108,negated_conjecture,
    plus(plus(mult(b,c),mult(a,b)),b) != b,
    inference(cp,[status(thm)],[eq_106,eq_1]) ).

cnf(eq_109,plain,
    A = plus(plus(mult(B,mult(A,C)),mult(D,A)),A),
    inference(cp,[status(thm)],[eq_82,eq_46]) ).

cnf(eq_110,plain,
    plus(plus(mult(A,B),mult(x103,A)),A) = A,
    inference(cp,[status(thm)],[eq_107,eq_109]) ).

cnf(eq_111,plain,
    A = plus(plus(mult(A,B),mult(C,A)),A),
    eq_110 ).

cnf(eq_112,negated_conjecture,
    b != b,
    inference(rw,[status(thm)],[eq_108,eq_111]) ).

cnf(bot,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[eq_112]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LAT392-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12  % Command  : run_maedmax %d %s
% 0.12/0.33  % Computer : n019.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 05:09:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 13.87/14.04  % SZS status Unsatisfiable
% 13.87/14.04  % SZS output start CNFRefutation for /tmp/MaedMax_2846
% See solution above
% 13.87/14.05  
%------------------------------------------------------------------------------