TSTP Solution File: LAT389-1 by MaedMax---1.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : MaedMax---1.4
% Problem : LAT389-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_maedmax %d %s
% Computer : n015.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 07:06:06 EDT 2022
% Result : Unsatisfiable 14.87s 15.08s
% Output : CNFRefutation 14.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 53
% Number of leaves : 2
% Syntax : Number of clauses : 155 ( 155 unt; 0 nHn; 10 RR)
% Number of literals : 155 ( 154 equ; 5 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 20 ( 2 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 : 371 ( 89 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_7402') ).
cnf(eq_1,negated_conjecture,
mult(a,plus(b,plus(a,c))) != a,
file('/tmp/MaedMax_7402') ).
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,
mult(mult(plus(x100,B),plus(A,B)),B) = B,
inference(cp,[status(thm)],[eq_79,eq_48]) ).
cnf(eq_85,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_86,plain,
A = mult(mult(plus(B,A),plus(C,A)),A),
eq_84 ).
cnf(eq_87,plain,
mult(A,mult(B,A)) = plus(mult(B,A),mult(B,A)),
inference(cp,[status(thm)],[eq_85,eq_70]) ).
cnf(eq_88,plain,
mult(mult(A,plus(mult(B,A),x102)),mult(B,A)) = mult(B,A),
inference(cp,[status(thm)],[eq_85,eq_48]) ).
cnf(eq_89,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_90,plain,
mult(mult(A,plus(x102,mult(B,A))),mult(B,A)) = mult(B,A),
inference(cp,[status(thm)],[eq_85,eq_86]) ).
cnf(eq_91,plain,
mult(mult(plus(x100,mult(B,A)),A),mult(B,A)) = mult(B,A),
inference(cp,[status(thm)],[eq_85,eq_86]) ).
cnf(eq_92,plain,
mult(A,B) = mult(mult(B,plus(C,mult(A,B))),mult(A,B)),
eq_90 ).
cnf(eq_93,plain,
mult(A,B) = mult(mult(B,plus(mult(A,B),C)),mult(A,B)),
eq_88 ).
cnf(eq_94,plain,
mult(A,B) = mult(B,mult(A,B)),
inference(rw,[status(thm)],[eq_87,eq_49]) ).
cnf(eq_95,plain,
mult(A,B) = mult(mult(plus(C,mult(A,B)),B),mult(A,B)),
eq_91 ).
cnf(eq_96,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_94]) ).
cnf(eq_97,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_89,eq_73]),eq_73]),eq_94]) ).
cnf(eq_98,plain,
plus(A,B) = mult(plus(plus(A,B),A),plus(A,B)),
inference(rw,[status(thm)],[eq_96,eq_14]) ).
cnf(eq_99,plain,
plus(A,mult(A,mult(A,B))) = A,
inference(cp,[status(thm)],[eq_97,eq_85]) ).
cnf(eq_100,plain,
mult(plus(A,B),A) = A,
inference(cp,[status(thm)],[eq_98,eq_48]) ).
cnf(eq_101,plain,
mult(mult(mult(plus(B,A),plus(C,A)),A),mult(plus(B,A),plus(C,A))) = mult(mult(plus(B,A),plus(C,A)),mult(mult(plus(B,A),plus(C,A)),A)),
inference(cp,[status(thm)],[eq_86,eq_97]) ).
cnf(eq_102,plain,
mult(mult(mult(plus(B,A),plus(A,C)),A),mult(plus(B,A),plus(A,C))) = mult(mult(plus(B,A),plus(A,C)),mult(mult(plus(B,A),plus(A,C)),A)),
inference(cp,[status(thm)],[eq_48,eq_97]) ).
cnf(eq_103,plain,
A = mult(A,mult(plus(B,A),plus(C,A))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_101,eq_86]),eq_86]),eq_86]) ).
cnf(eq_104,plain,
A = mult(A,mult(plus(B,A),plus(A,C))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_102,eq_48]),eq_48]),eq_48]) ).
cnf(eq_105,plain,
plus(A,B) = plus(A,plus(A,B)),
inference(rw,[status(thm)],[eq_74,eq_100]) ).
cnf(eq_106,plain,
plus(plus(A,B),mult(plus(A,B),A)) = plus(A,B),
inference(cp,[status(thm)],[eq_100,eq_99]) ).
cnf(eq_107,plain,
mult(mult(B,A),mult(A,plus(mult(B,A),x102))) = mult(B,A),
inference(cp,[status(thm)],[eq_85,eq_104]) ).
cnf(eq_108,plain,
mult(mult(plus(A,B),A),plus(A,B)) = mult(plus(A,B),mult(plus(A,B),A)),
inference(cp,[status(thm)],[eq_100,eq_97]) ).
cnf(eq_109,plain,
plus(A,B) = plus(plus(A,B),A),
inference(rw,[status(thm)],[eq_106,eq_100]) ).
cnf(eq_110,plain,
A = mult(A,plus(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_108,eq_100]),eq_100]),eq_100]) ).
cnf(eq_111,plain,
mult(A,B) = mult(mult(A,B),mult(B,plus(mult(A,B),C))),
eq_107 ).
cnf(eq_112,plain,
plus(A,plus(A,B)) = plus(plus(A,B),A),
inference(cp,[status(thm)],[eq_109,eq_79]) ).
cnf(eq_113,plain,
plus(plus(B,A),plus(A,B)) = plus(A,B),
inference(cp,[status(thm)],[eq_110,eq_71]) ).
cnf(eq_114,plain,
mult(A,mult(plus(A,B),plus(x102,A))) = A,
inference(cp,[status(thm)],[eq_109,eq_103]) ).
cnf(eq_115,plain,
plus(plus(A,B),plus(B,mult(C,plus(A,B)))) = plus(plus(B,mult(C,plus(A,B))),plus(A,B)),
inference(cp,[status(thm)],[eq_71,eq_109]) ).
cnf(eq_116,plain,
plus(A,B) = plus(plus(A,B),plus(B,mult(C,plus(A,B)))),
inference(rw,[status(thm)],[eq_115,eq_71]) ).
cnf(eq_117,plain,
A = mult(A,mult(plus(A,B),plus(C,A))),
eq_114 ).
cnf(eq_118,plain,
plus(plus(A,B),plus(B,A)) = plus(plus(B,A),plus(A,B)),
inference(cp,[status(thm)],[eq_113,eq_109]) ).
cnf(eq_119,plain,
mult(plus(B,A),plus(A,B)) = plus(B,A),
inference(cp,[status(thm)],[eq_113,eq_110]) ).
cnf(eq_120,plain,
mult(mult(mult(plus(B,A),plus(C,A)),plus(x101,A)),mult(A,mult(plus(B,A),plus(C,A)))) = mult(A,mult(plus(B,A),plus(C,A))),
inference(cp,[status(thm)],[eq_103,eq_92]) ).
cnf(eq_121,plain,
plus(A,B) = mult(plus(A,B),plus(B,A)),
eq_119 ).
cnf(eq_122,plain,
A = mult(mult(mult(plus(B,A),plus(C,A)),plus(D,A)),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_120,eq_103]),eq_103]) ).
cnf(eq_123,plain,
plus(A,B) = plus(B,A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_118,eq_113]),eq_113]) ).
cnf(eq_124,plain,
mult(plus(A,B),plus(B,mult(B,A))) = B,
inference(cp,[status(thm)],[eq_123,eq_11]) ).
cnf(eq_125,plain,
mult(mult(plus(x100,A),mult(plus(A,B),plus(C,A))),mult(A,mult(plus(A,B),plus(C,A)))) = mult(A,mult(plus(A,B),plus(C,A))),
inference(cp,[status(thm)],[eq_117,eq_95]) ).
cnf(eq_126,plain,
A = mult(plus(B,A),plus(A,mult(A,B))),
eq_124 ).
cnf(eq_127,plain,
A = mult(mult(plus(B,A),mult(plus(A,C),plus(D,A))),A),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_125,eq_117]),eq_117]) ).
cnf(eq_128,negated_conjecture,
mult(a,plus(plus(a,c),b)) != a,
inference(cp,[status(thm)],[eq_123,eq_1]) ).
cnf(eq_129,plain,
plus(plus(A,mult(A,B)),plus(mult(A,B),A)) = plus(A,mult(A,B)),
inference(cp,[status(thm)],[eq_126,eq_116]) ).
cnf(eq_130,plain,
plus(A,mult(A,B)) = plus(mult(A,B),A),
inference(rw,[status(thm)],[eq_129,eq_113]) ).
cnf(eq_131,negated_conjecture,
mult(a,plus(plus(c,a),b)) != a,
inference(cp,[status(thm)],[eq_123,eq_128]) ).
cnf(eq_132,plain,
mult(mult(A,B),mult(B,plus(A,mult(A,B)))) = mult(A,B),
inference(cp,[status(thm)],[eq_130,eq_111]) ).
cnf(eq_133,plain,
mult(mult(B,plus(A,mult(A,B))),mult(A,B)) = mult(A,B),
inference(cp,[status(thm)],[eq_130,eq_93]) ).
cnf(eq_134,plain,
mult(plus(plus(mult(x100,mult(A,x102)),A),A),plus(x104,A)) = A,
inference(cp,[status(thm)],[eq_122,eq_82]) ).
cnf(eq_135,plain,
A = mult(plus(mult(B,mult(A,C)),A),plus(D,A)),
inference(rw,[status(thm)],[eq_134,eq_72]) ).
cnf(eq_136,plain,
A = plus(mult(B,mult(A,C)),A),
inference(cp,[status(thm)],[eq_135,eq_46]) ).
cnf(eq_137,plain,
mult(plus(mult(x101,x102),x101),plus(x103,x101)) = x101,
inference(cp,[status(thm)],[eq_127,eq_135]) ).
cnf(eq_138,plain,
A = mult(plus(A,mult(A,B)),plus(C,A)),
inference(rw,[status(thm)],[eq_137,eq_130]) ).
cnf(eq_139,plain,
plus(mult(x100,A),plus(B,A)) = plus(B,A),
inference(cp,[status(thm)],[eq_126,eq_136]) ).
cnf(eq_140,plain,
A = plus(A,mult(A,B)),
inference(cp,[status(thm)],[eq_138,eq_121]) ).
cnf(eq_141,plain,
plus(A,B) = plus(mult(C,B),plus(A,B)),
eq_139 ).
cnf(eq_142,plain,
plus(mult(x100,A),plus(A,plus(A,B))) = plus(plus(A,B),A),
inference(cp,[status(thm)],[eq_112,eq_141]) ).
cnf(eq_143,plain,
plus(A,B) = plus(mult(C,A),plus(A,B)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[eq_142,eq_105]),eq_109]) ).
cnf(eq_144,plain,
plus(A,B) = plus(plus(A,B),mult(C,A)),
inference(cp,[status(thm)],[eq_143,eq_123]) ).
cnf(eq_145,plain,
mult(A,B) = mult(mult(A,B),mult(B,A)),
inference(rw,[status(thm)],[eq_132,eq_140]) ).
cnf(eq_146,plain,
mult(A,B) = mult(mult(B,A),mult(A,B)),
inference(rw,[status(thm)],[eq_133,eq_140]) ).
cnf(eq_147,plain,
mult(plus(A,B),mult(C,A)) = mult(C,A),
inference(cp,[status(thm)],[eq_144,eq_66]) ).
cnf(eq_148,plain,
mult(A,B) = mult(B,A),
inference(cp,[status(thm)],[eq_146,eq_145]) ).
cnf(eq_149,plain,
mult(A,B) = mult(plus(B,C),mult(A,B)),
eq_147 ).
cnf(eq_150,plain,
mult(plus(plus(B,A),x101),A) = mult(A,plus(B,A)),
inference(cp,[status(thm)],[eq_60,eq_149]) ).
cnf(eq_151,plain,
A = mult(plus(plus(B,A),C),A),
inference(rw,[status(thm)],[eq_150,eq_60]) ).
cnf(eq_152,negated_conjecture,
mult(plus(plus(c,a),b),a) != a,
inference(cp,[status(thm)],[eq_148,eq_131]) ).
cnf(eq_153,negated_conjecture,
a != a,
inference(cp,[status(thm)],[eq_151,eq_152]) ).
cnf(bot,negated_conjecture,
$false,
inference(cn,[status(thm)],[eq_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT389-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_maedmax %d %s
% 0.12/0.33 % Computer : n015.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jul 26 05:18:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 14.87/15.08 % SZS status Unsatisfiable
% 14.87/15.08 % SZS output start CNFRefutation for /tmp/MaedMax_7402
% See solution above
% 14.87/15.09
%------------------------------------------------------------------------------