%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG009-7 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:45 PM UTC 2026
% Result : Unsatisfiable 86.94s 11.51s
% Output : CNFRefutation 90.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 117
% Number of leaves : 11
% Syntax : Number of clauses : 685 ( 685 unt; 0 nHn; 10 RR)
% Number of literals : 685 ( 684 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 1589 ( 29 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(b,a) != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity) ).
cnf(c2,axiom,
add(X,Y) = add(Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_for_addition) ).
cnf(c3,plain,
add(additive_inverse(X3),X2) = add(X2,additive_inverse(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(X2,additive_inverse(X3)) = add(additive_inverse(X3),X2),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
add(X3,add(X2,additive_inverse(X3))) = add(X3,add(additive_inverse(X3),X2)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
add(X2,add(Y2,Z)) = add(add(X2,Y2),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_addition) ).
cnf(c7,plain,
add(X3,add(additive_inverse(X3),X2)) = add(add(X3,additive_inverse(X3)),X2),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,axiom,
add(X2,additive_inverse(X2)) = additive_identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c9,plain,
add(add(X3,additive_inverse(X3)),X2) = add(additive_identity,X2),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,axiom,
add(additive_identity,X2) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c11,plain,
add(add(X3,additive_inverse(X3)),X2) = X2,
inference(transitivity,[status(thm)],[c9,c10]) ).
cnf(c12,plain,
add(X3,add(additive_inverse(X3),X2)) = X2,
inference(transitivity,[status(thm)],[c7,c11]) ).
cnf(c13,plain,
add(X3,add(X2,additive_inverse(X3))) = X2,
inference(transitivity,[status(thm)],[c5,c12]) ).
cnf(c14,plain,
add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = multiply(X2,X3),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
multiply(X2,X3) = add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c16,plain,
add(additive_inverse(multiply(X2,X3)),multiply(X3,X2)) = add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c17,plain,
add(multiply(X3,X2),additive_inverse(multiply(X2,X3))) = add(additive_inverse(multiply(X2,X3)),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
add(X2,additive_inverse(X3)) = add(additive_inverse(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c19,plain,
add(additive_inverse(X3),X2) = add(X2,additive_inverse(X3)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
add(X3,add(additive_inverse(X3),X2)) = add(X3,add(X2,additive_inverse(X3))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
add(X3,add(additive_inverse(X3),X2)) = X2,
inference(transitivity,[status(thm)],[c20,c13]) ).
cnf(c22,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))) = add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))),
inference(symmetry,[status(thm)],[c22]) ).
cnf(c24,axiom,
multiply(X2,multiply(Y2,Z2)) = multiply(multiply(X2,Y2),Z2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_for_multiplication) ).
cnf(c25,plain,
multiply(X3,multiply(X5,multiply(multiply(X5,X2),multiply(X5,X4)))) = multiply(multiply(X3,X5),multiply(multiply(X5,X2),multiply(X5,X4))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c26,plain,
multiply(multiply(X5,X3),multiply(multiply(X3,X4),multiply(X3,X2))) = multiply(X5,multiply(X3,multiply(multiply(X3,X4),multiply(X3,X2)))),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
multiply(multiply(X4,X3),multiply(X4,X2)) = multiply(multiply(multiply(X4,X3),X4),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c28,plain,
multiply(X4,multiply(multiply(X4,X3),multiply(X4,X2))) = multiply(X4,multiply(multiply(multiply(X4,X3),X4),X2)),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
multiply(X4,multiply(multiply(multiply(X4,X3),X4),X2)) = multiply(multiply(X4,multiply(multiply(X4,X3),X4)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c30,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(X3,multiply(multiply(X3,X2),X3)))) = multiply(X3,multiply(multiply(X3,X2),X3)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c31,plain,
multiply(X3,multiply(multiply(X3,X2),X3)) = add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(X3,multiply(multiply(X3,X2),X3)))),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
add(X2,add(additive_inverse(X2),additive_inverse(additive_inverse(X2)))) = additive_inverse(additive_inverse(X2)),
inference(substitution,[status(thm)],[c21]) ).
cnf(c33,plain,
additive_inverse(additive_inverse(X2)) = add(X2,add(additive_inverse(X2),additive_inverse(additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
add(additive_inverse(X2),additive_inverse(additive_inverse(X2))) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c35,plain,
add(X2,add(additive_inverse(X2),additive_inverse(additive_inverse(X2)))) = add(X2,additive_identity),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,axiom,
add(X2,additive_identity) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c37,plain,
add(X2,add(additive_inverse(X2),additive_inverse(additive_inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c35,c36]) ).
cnf(c38,plain,
additive_inverse(additive_inverse(X2)) = X2,
inference(transitivity,[status(thm)],[c33,c37]) ).
cnf(c39,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
multiply(multiply(X2,X3),X2) = multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
multiply(X2,multiply(multiply(X2,X3),X2)) = multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c40]) ).
cnf(c42,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),X2))) = add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
add(additive_inverse(multiply(X3,X2)),additive_identity) = additive_inverse(multiply(X3,X2)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c44,plain,
additive_inverse(multiply(X3,X2)) = add(additive_inverse(multiply(X3,X2)),additive_identity),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c46,plain,
multiply(X2,additive_identity) = multiply(additive_inverse(additive_inverse(X2)),additive_identity),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),additive_identity))) = multiply(additive_inverse(X2),additive_identity),
inference(substitution,[status(thm)],[c21]) ).
cnf(c48,plain,
multiply(additive_inverse(X2),additive_identity) = add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),additive_identity))),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c49,plain,
add(multiply(X3,X3),X2) = add(X2,multiply(X3,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c50,plain,
add(X2,multiply(X3,X3)) = add(multiply(X3,X3),X2),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(X3,add(X2,multiply(X3,X3))) = multiply(X3,add(multiply(X3,X3),X2)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,axiom,
multiply(X2,add(Y2,Z2)) = add(multiply(X2,Y2),multiply(X2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute1) ).
cnf(c53,plain,
multiply(X3,add(multiply(X3,X3),X2)) = add(multiply(X3,multiply(X3,X3)),multiply(X3,X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,axiom,
multiply(X2,multiply(X2,X2)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c55,plain,
add(multiply(X3,multiply(X3,X3)),multiply(X3,X2)) = add(X3,multiply(X3,X2)),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
multiply(X3,add(multiply(X3,X3),X2)) = add(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c53,c55]) ).
cnf(c57,plain,
multiply(X3,add(X2,multiply(X3,X3))) = add(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c51,c56]) ).
cnf(c58,plain,
multiply(X2,add(additive_identity,multiply(X2,X2))) = add(X2,multiply(X2,additive_identity)),
inference(substitution,[status(thm)],[c57]) ).
cnf(c59,plain,
add(X2,multiply(X2,additive_identity)) = multiply(X2,add(additive_identity,multiply(X2,X2))),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
add(additive_identity,multiply(X2,X2)) = multiply(X2,X2),
inference(substitution,[status(thm)],[c10]) ).
cnf(c61,plain,
multiply(X2,add(additive_identity,multiply(X2,X2))) = multiply(X2,multiply(X2,X2)),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
multiply(X2,add(additive_identity,multiply(X2,X2))) = X2,
inference(transitivity,[status(thm)],[c61,c54]) ).
cnf(c63,plain,
add(X2,multiply(X2,additive_identity)) = X2,
inference(transitivity,[status(thm)],[c59,c62]) ).
cnf(c64,plain,
add(additive_inverse(X2),multiply(additive_inverse(X2),additive_identity)) = additive_inverse(X2),
inference(substitution,[status(thm)],[c63]) ).
cnf(c65,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),additive_identity))) = add(X2,additive_inverse(X2)),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),additive_identity))) = additive_identity,
inference(transitivity,[status(thm)],[c65,c8]) ).
cnf(c67,plain,
multiply(additive_inverse(X2),additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c48,c66]) ).
cnf(c68,plain,
multiply(additive_inverse(additive_inverse(X2)),additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
multiply(X2,additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c46,c68]) ).
cnf(c70,plain,
additive_identity = multiply(X2,additive_identity),
inference(symmetry,[status(thm)],[c69]) ).
cnf(c71,plain,
add(additive_inverse(multiply(X3,X2)),additive_identity) = add(additive_inverse(multiply(X3,X2)),multiply(X3,additive_identity)),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
additive_identity = add(X2,additive_inverse(X2)),
inference(symmetry,[status(thm)],[c8]) ).
cnf(c73,plain,
multiply(X3,additive_identity) = multiply(X3,add(X2,additive_inverse(X2))),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X3,additive_identity)) = add(additive_inverse(multiply(X3,X2)),multiply(X3,add(X2,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
add(multiply(X4,X2),X3) = add(X3,multiply(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c76,plain,
add(X3,multiply(X4,X2)) = add(multiply(X4,X2),X3),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,plain,
add(multiply(X5,X4),add(X3,multiply(X5,X2))) = add(multiply(X5,X4),add(multiply(X5,X2),X3)),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
add(add(X4,X2),X3) = add(X3,add(X4,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c79,plain,
add(X3,add(X4,X2)) = add(add(X4,X2),X3),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
add(X4,add(X2,X3)) = add(add(X4,X2),X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c81,plain,
add(add(X4,X2),X3) = add(X4,add(X2,X3)),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c83,plain,
add(X4,add(X2,X3)) = add(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
add(add(X4,X2),X3) = add(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c81,c83]) ).
cnf(c85,plain,
add(X3,add(X4,X2)) = add(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c79,c84]) ).
cnf(c86,plain,
add(multiply(X5,X4),add(multiply(X5,X2),X3)) = add(multiply(X5,X2),add(multiply(X5,X4),X3)),
inference(substitution,[status(thm)],[c85]) ).
cnf(c87,plain,
add(multiply(X5,X2),add(multiply(X5,X4),X3)) = add(add(multiply(X5,X2),multiply(X5,X4)),X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c88,plain,
multiply(X4,add(X2,X3)) = add(multiply(X4,X2),multiply(X4,X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c89,plain,
add(multiply(X4,X2),multiply(X4,X3)) = multiply(X4,add(X2,X3)),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
add(add(multiply(X5,X2),multiply(X5,X4)),X3) = add(multiply(X5,add(X2,X4)),X3),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
add(multiply(X5,add(X2,X4)),X3) = add(X3,multiply(X5,add(X2,X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c92,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c93,plain,
multiply(X4,add(X2,X3)) = multiply(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
add(X3,multiply(X5,add(X2,X4))) = add(X3,multiply(X5,add(X4,X2))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
add(multiply(X5,add(X2,X4)),X3) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c91,c94]) ).
cnf(c96,plain,
add(add(multiply(X5,X2),multiply(X5,X4)),X3) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c90,c95]) ).
cnf(c97,plain,
add(multiply(X5,X2),add(multiply(X5,X4),X3)) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c87,c96]) ).
cnf(c98,plain,
add(multiply(X5,X4),add(multiply(X5,X2),X3)) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c86,c97]) ).
cnf(c99,plain,
add(multiply(X5,X4),add(X3,multiply(X5,X2))) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c77,c98]) ).
cnf(c100,plain,
add(multiply(X4,X3),add(additive_inverse(multiply(X4,X3)),multiply(X4,X2))) = add(additive_inverse(multiply(X4,X3)),multiply(X4,add(X3,X2))),
inference(substitution,[status(thm)],[c99]) ).
cnf(c101,plain,
add(additive_inverse(multiply(X4,X3)),multiply(X4,add(X3,X2))) = add(multiply(X4,X3),add(additive_inverse(multiply(X4,X3)),multiply(X4,X2))),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
add(multiply(X4,X3),add(additive_inverse(multiply(X4,X3)),multiply(X4,X2))) = multiply(X4,X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c103,plain,
add(additive_inverse(multiply(X4,X3)),multiply(X4,add(X3,X2))) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c101,c102]) ).
cnf(c104,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X3,add(X2,additive_inverse(X2)))) = multiply(X3,additive_inverse(X2)),
inference(substitution,[status(thm)],[c103]) ).
cnf(c105,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X3,additive_identity)) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c74,c104]) ).
cnf(c106,plain,
add(additive_inverse(multiply(X3,X2)),additive_identity) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c71,c105]) ).
cnf(c107,plain,
additive_inverse(multiply(X3,X2)) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c44,c106]) ).
cnf(c108,plain,
additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))) = multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))) = additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))),
inference(symmetry,[status(thm)],[c108]) ).
cnf(c110,plain,
multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2)))) = multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c109]) ).
cnf(c111,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))) = multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c113,plain,
multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))) = additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c116,plain,
add(X3,X2) = add(X3,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
additive_inverse(add(X3,X2)) = additive_inverse(add(X3,additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c119,plain,
add(X3,X2) = add(X3,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
additive_inverse(add(X3,X2)) = additive_inverse(add(X3,additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
add(X3,additive_inverse(add(X3,X2))) = add(X3,additive_inverse(add(X3,additive_inverse(additive_inverse(X2))))),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
add(additive_inverse(X2),X3) = add(X3,additive_inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c123,plain,
add(X3,additive_inverse(X2)) = add(additive_inverse(X2),X3),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
additive_inverse(add(X3,additive_inverse(X2))) = additive_inverse(add(additive_inverse(X2),X3)),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
add(X3,additive_inverse(add(X3,additive_inverse(X2)))) = add(X3,additive_inverse(add(additive_inverse(X2),X3))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
add(X2,add(additive_inverse(X2),add(X3,additive_inverse(add(additive_inverse(X2),X3))))) = add(X3,additive_inverse(add(additive_inverse(X2),X3))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c127,plain,
add(X3,additive_inverse(add(additive_inverse(X2),X3))) = add(X2,add(additive_inverse(X2),add(X3,additive_inverse(add(additive_inverse(X2),X3))))),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
add(X3,add(X2,additive_inverse(add(X3,X2)))) = add(add(X3,X2),additive_inverse(add(X3,X2))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c129,plain,
add(add(X3,X2),additive_inverse(add(X3,X2))) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c130,plain,
add(X3,add(X2,additive_inverse(add(X3,X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c128,c129]) ).
cnf(c131,plain,
add(additive_inverse(X2),add(X3,additive_inverse(add(additive_inverse(X2),X3)))) = additive_identity,
inference(substitution,[status(thm)],[c130]) ).
cnf(c132,plain,
add(X2,add(additive_inverse(X2),add(X3,additive_inverse(add(additive_inverse(X2),X3))))) = add(X2,additive_identity),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
add(X2,add(additive_inverse(X2),add(X3,additive_inverse(add(additive_inverse(X2),X3))))) = X2,
inference(transitivity,[status(thm)],[c132,c36]) ).
cnf(c134,plain,
add(X3,additive_inverse(add(additive_inverse(X2),X3))) = X2,
inference(transitivity,[status(thm)],[c127,c133]) ).
cnf(c135,plain,
add(X3,additive_inverse(add(X3,additive_inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c125,c134]) ).
cnf(c136,plain,
add(X3,additive_inverse(add(X3,additive_inverse(additive_inverse(X2))))) = additive_inverse(X2),
inference(substitution,[status(thm)],[c135]) ).
cnf(c137,plain,
add(X3,additive_inverse(add(X3,X2))) = additive_inverse(X2),
inference(transitivity,[status(thm)],[c121,c136]) ).
cnf(c138,plain,
add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))) = additive_inverse(add(X3,additive_inverse(X2))),
inference(substitution,[status(thm)],[c137]) ).
cnf(c139,plain,
additive_inverse(add(X3,additive_inverse(X2))) = add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c13]) ).
cnf(c141,plain,
additive_inverse(add(X2,add(X3,additive_inverse(X2)))) = additive_inverse(X3),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))) = add(X2,additive_inverse(X3)),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
additive_inverse(add(X3,additive_inverse(X2))) = add(X2,additive_inverse(X3)),
inference(transitivity,[status(thm)],[c139,c142]) ).
cnf(c144,plain,
additive_inverse(add(X3,additive_inverse(additive_inverse(X2)))) = add(additive_inverse(X2),additive_inverse(X3)),
inference(substitution,[status(thm)],[c143]) ).
cnf(c145,plain,
add(additive_inverse(X2),additive_inverse(X3)) = add(additive_inverse(X3),additive_inverse(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c146,plain,
additive_inverse(add(X3,additive_inverse(additive_inverse(X2)))) = add(additive_inverse(X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c144,c145]) ).
cnf(c147,plain,
additive_inverse(add(X3,X2)) = add(additive_inverse(X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c117,c146]) ).
cnf(c148,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(substitution,[status(thm)],[c147]) ).
cnf(c149,plain,
add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
multiply(additive_inverse(multiply(X4,X3)),X2) = multiply(multiply(X4,additive_inverse(X3)),X2),
inference(congruence,[status(thm)],[c107]) ).
cnf(c151,plain,
multiply(X4,multiply(additive_inverse(X3),X2)) = multiply(multiply(X4,additive_inverse(X3)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c152,plain,
multiply(multiply(X4,additive_inverse(X3)),X2) = multiply(X4,multiply(additive_inverse(X3),X2)),
inference(symmetry,[status(thm)],[c151]) ).
cnf(c153,plain,
multiply(additive_inverse(multiply(X4,X3)),X2) = multiply(X4,multiply(additive_inverse(X3),X2)),
inference(transitivity,[status(thm)],[c150,c152]) ).
cnf(c154,plain,
add(multiply(X3,X2),additive_inverse(add(multiply(X3,X2),multiply(additive_inverse(X3),X2)))) = additive_inverse(multiply(additive_inverse(X3),X2)),
inference(substitution,[status(thm)],[c137]) ).
cnf(c155,plain,
additive_inverse(multiply(additive_inverse(X3),X2)) = add(multiply(X3,X2),additive_inverse(add(multiply(X3,X2),multiply(additive_inverse(X3),X2)))),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,axiom,
multiply(add(X2,Y2),Z2) = add(multiply(X2,Z2),multiply(Y2,Z2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribute2) ).
cnf(c157,plain,
multiply(add(X3,additive_inverse(X3)),X2) = add(multiply(X3,X2),multiply(additive_inverse(X3),X2)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c158,plain,
add(multiply(X3,X2),multiply(additive_inverse(X3),X2)) = multiply(add(X3,additive_inverse(X3)),X2),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c159,plain,
multiply(add(X3,additive_inverse(X3)),X2) = multiply(additive_identity,X2),
inference(congruence,[status(thm)],[c8]) ).
cnf(c160,plain,
add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(multiply(X2,X3)))) = multiply(additive_identity,X3),
inference(substitution,[status(thm)],[c13]) ).
cnf(c161,plain,
multiply(additive_identity,X3) = add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(multiply(X2,X3)))),
inference(symmetry,[status(thm)],[c160]) ).
cnf(c162,plain,
multiply(add(X3,X4),X2) = add(multiply(X3,X2),multiply(X4,X2)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c163,plain,
add(multiply(X3,X2),multiply(X4,X2)) = multiply(add(X3,X4),X2),
inference(symmetry,[status(thm)],[c162]) ).
cnf(c164,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c165,plain,
multiply(add(X3,X4),X2) = multiply(add(X4,X3),X2),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
add(multiply(X3,X2),multiply(X4,X2)) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c163,c165]) ).
cnf(c167,plain,
add(multiply(X3,X2),multiply(additive_identity,X2)) = multiply(add(additive_identity,X3),X2),
inference(substitution,[status(thm)],[c166]) ).
cnf(c168,plain,
multiply(add(additive_identity,X3),X2) = multiply(X3,X2),
inference(congruence,[status(thm)],[c10]) ).
cnf(c169,plain,
add(multiply(X3,X2),multiply(additive_identity,X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c167,c168]) ).
cnf(c170,plain,
add(multiply(X2,X3),multiply(additive_identity,X3)) = multiply(X2,X3),
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
multiply(X2,X3) = add(multiply(X2,X3),multiply(additive_identity,X3)),
inference(symmetry,[status(thm)],[c170]) ).
cnf(c172,plain,
additive_inverse(multiply(X2,X3)) = additive_inverse(add(multiply(X2,X3),multiply(additive_identity,X3))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
add(multiply(additive_identity,X3),additive_inverse(multiply(X2,X3))) = add(multiply(additive_identity,X3),additive_inverse(add(multiply(X2,X3),multiply(additive_identity,X3)))),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,plain,
add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(multiply(X2,X3)))) = add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(add(multiply(X2,X3),multiply(additive_identity,X3))))),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(add(multiply(X2,X3),multiply(additive_identity,X3))))) = additive_identity,
inference(substitution,[status(thm)],[c130]) ).
cnf(c176,plain,
add(multiply(X2,X3),add(multiply(additive_identity,X3),additive_inverse(multiply(X2,X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c174,c175]) ).
cnf(c177,plain,
multiply(additive_identity,X2) = additive_identity,
inference(transitivity,[status(thm)],[c161,c176]) ).
cnf(c178,plain,
multiply(add(X3,additive_inverse(X3)),X2) = additive_identity,
inference(transitivity,[status(thm)],[c159,c177]) ).
cnf(c179,plain,
add(multiply(X3,X2),multiply(additive_inverse(X3),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c158,c178]) ).
cnf(c180,plain,
additive_inverse(add(multiply(X3,X2),multiply(additive_inverse(X3),X2))) = additive_inverse(additive_identity),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
add(multiply(X3,X2),additive_inverse(add(multiply(X3,X2),multiply(additive_inverse(X3),X2)))) = add(multiply(X3,X2),additive_inverse(additive_identity)),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
add(additive_identity,additive_inverse(additive_identity)) = additive_inverse(additive_identity),
inference(substitution,[status(thm)],[c10]) ).
cnf(c183,plain,
additive_inverse(additive_identity) = add(additive_identity,additive_inverse(additive_identity)),
inference(symmetry,[status(thm)],[c182]) ).
cnf(c184,plain,
add(additive_identity,additive_inverse(additive_identity)) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c185,plain,
additive_inverse(additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c183,c184]) ).
cnf(c186,plain,
add(multiply(X3,X2),additive_inverse(additive_identity)) = add(multiply(X3,X2),additive_identity),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
add(multiply(X3,X2),additive_identity) = multiply(X3,X2),
inference(substitution,[status(thm)],[c36]) ).
cnf(c188,plain,
add(multiply(X3,X2),additive_inverse(additive_identity)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c186,c187]) ).
cnf(c189,plain,
add(multiply(X3,X2),additive_inverse(add(multiply(X3,X2),multiply(additive_inverse(X3),X2)))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c181,c188]) ).
cnf(c190,plain,
additive_inverse(multiply(additive_inverse(X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c155,c189]) ).
cnf(c191,plain,
multiply(X3,X2) = additive_inverse(multiply(additive_inverse(X3),X2)),
inference(symmetry,[status(thm)],[c190]) ).
cnf(c192,plain,
additive_inverse(multiply(X3,X2)) = additive_inverse(additive_inverse(multiply(additive_inverse(X3),X2))),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
additive_inverse(additive_inverse(multiply(additive_inverse(X3),X2))) = multiply(additive_inverse(X3),X2),
inference(substitution,[status(thm)],[c38]) ).
cnf(c194,plain,
additive_inverse(multiply(X3,X2)) = multiply(additive_inverse(X3),X2),
inference(transitivity,[status(thm)],[c192,c193]) ).
cnf(c195,plain,
multiply(additive_inverse(X3),X2) = additive_inverse(multiply(X3,X2)),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
multiply(X4,multiply(additive_inverse(X3),X2)) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
multiply(X4,multiply(X3,additive_inverse(X2))) = multiply(multiply(X4,X3),additive_inverse(X2)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c198,plain,
multiply(multiply(X4,X3),additive_inverse(X2)) = multiply(X4,multiply(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c197]) ).
cnf(c199,plain,
multiply(X3,additive_inverse(X2)) = additive_inverse(multiply(X3,X2)),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c200,plain,
multiply(X4,multiply(X3,additive_inverse(X2))) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
multiply(multiply(X4,X3),additive_inverse(X2)) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(transitivity,[status(thm)],[c198,c200]) ).
cnf(c202,plain,
multiply(X4,additive_inverse(multiply(X3,X2))) = multiply(multiply(X4,X3),additive_inverse(X2)),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
multiply(X4,multiply(additive_inverse(X3),X2)) = multiply(multiply(X4,X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c196,c202]) ).
cnf(c204,plain,
multiply(additive_inverse(multiply(X4,X3)),X2) = multiply(multiply(X4,X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c153,c203]) ).
cnf(c205,plain,
multiply(additive_inverse(multiply(X2,X3)),X2) = multiply(multiply(X2,X3),additive_inverse(X2)),
inference(substitution,[status(thm)],[c204]) ).
cnf(c206,plain,
multiply(multiply(X2,X3),additive_inverse(X2)) = multiply(additive_inverse(multiply(X2,X3)),X2),
inference(symmetry,[status(thm)],[c205]) ).
cnf(c207,plain,
multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))) = multiply(X2,multiply(additive_inverse(multiply(X2,X3)),X2)),
inference(congruence,[status(thm)],[c206]) ).
cnf(c208,plain,
add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))) = add(multiply(X3,X2),multiply(X2,multiply(additive_inverse(multiply(X2,X3)),X2))),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
multiply(X2,multiply(additive_inverse(multiply(X2,X3)),X2)) = multiply(multiply(X2,additive_inverse(multiply(X2,X3))),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c210,plain,
add(multiply(X3,X2),multiply(X2,multiply(additive_inverse(multiply(X2,X3)),X2))) = add(multiply(X3,X2),multiply(multiply(X2,additive_inverse(multiply(X2,X3))),X2)),
inference(congruence,[status(thm)],[c209]) ).
cnf(c211,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2) = add(multiply(X3,X2),multiply(multiply(X2,additive_inverse(multiply(X2,X3))),X2)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c212,plain,
add(multiply(X3,X2),multiply(multiply(X2,additive_inverse(multiply(X2,X3))),X2)) = multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
multiply(X3,multiply(X2,multiply(X3,X2))) = multiply(multiply(X3,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c214,plain,
multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2)))) = multiply(X2,multiply(multiply(X3,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2))))) = multiply(X3,multiply(X2,multiply(multiply(X3,X2),multiply(X3,X2)))),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
multiply(X3,multiply(X2,multiply(multiply(X3,X2),multiply(X3,X2)))) = multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(X3,X2))),
inference(substitution,[status(thm)],[c24]) ).
cnf(c217,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(X3,X2))) = multiply(X3,X2),
inference(substitution,[status(thm)],[c54]) ).
cnf(c218,plain,
multiply(X3,multiply(X2,multiply(multiply(X3,X2),multiply(X3,X2)))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c216,c217]) ).
cnf(c219,plain,
multiply(X3,multiply(X2,multiply(X3,multiply(X2,multiply(X3,X2))))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c215,c218]) ).
cnf(c220,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2))))) = multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2),
inference(substitution,[status(thm)],[c219]) ).
cnf(c221,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2) = multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2))))),
inference(symmetry,[status(thm)],[c220]) ).
cnf(c222,plain,
add(multiply(X3,additive_inverse(multiply(X3,X2))),X2) = add(X2,multiply(X3,additive_inverse(multiply(X3,X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c223,plain,
add(X2,multiply(X3,additive_inverse(multiply(X3,X2)))) = add(multiply(X3,additive_inverse(multiply(X3,X2))),X2),
inference(symmetry,[status(thm)],[c222]) ).
cnf(c224,plain,
multiply(add(X3,multiply(X4,additive_inverse(multiply(X4,X3)))),X2) = multiply(add(multiply(X4,additive_inverse(multiply(X4,X3))),X3),X2),
inference(congruence,[status(thm)],[c223]) ).
cnf(c225,plain,
multiply(X4,multiply(add(X3,multiply(X4,additive_inverse(multiply(X4,X3)))),X2)) = multiply(X4,multiply(add(multiply(X4,additive_inverse(multiply(X4,X3))),X3),X2)),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
multiply(X4,add(X2,X3)) = add(multiply(X4,X2),multiply(X4,X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c227,plain,
add(multiply(X4,X2),multiply(X4,X3)) = multiply(X4,add(X2,X3)),
inference(symmetry,[status(thm)],[c226]) ).
cnf(c228,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c229,plain,
multiply(X4,add(X2,X3)) = multiply(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
add(multiply(X4,X2),multiply(X4,X3)) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c227,c229]) ).
cnf(c231,plain,
add(multiply(X4,X3),multiply(X4,X2)) = multiply(X4,add(X2,X3)),
inference(substitution,[status(thm)],[c230]) ).
cnf(c232,plain,
multiply(add(multiply(X5,X4),multiply(X5,X3)),X2) = multiply(multiply(X5,add(X3,X4)),X2),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
multiply(X5,multiply(add(X3,X4),X2)) = multiply(multiply(X5,add(X3,X4)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c234,plain,
multiply(multiply(X5,add(X3,X4)),X2) = multiply(X5,multiply(add(X3,X4),X2)),
inference(symmetry,[status(thm)],[c233]) ).
cnf(c235,plain,
multiply(add(multiply(X5,X4),multiply(X5,X3)),X2) = multiply(X5,multiply(add(X3,X4),X2)),
inference(transitivity,[status(thm)],[c232,c234]) ).
cnf(c236,plain,
multiply(add(multiply(X4,X3),multiply(X4,multiply(X4,additive_inverse(multiply(X4,X3))))),X2) = multiply(X4,multiply(add(multiply(X4,additive_inverse(multiply(X4,X3))),X3),X2)),
inference(substitution,[status(thm)],[c235]) ).
cnf(c237,plain,
multiply(X4,multiply(add(multiply(X4,additive_inverse(multiply(X4,X3))),X3),X2)) = multiply(add(multiply(X4,X3),multiply(X4,multiply(X4,additive_inverse(multiply(X4,X3))))),X2),
inference(symmetry,[status(thm)],[c236]) ).
cnf(c238,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c239,plain,
multiply(X2,X2) = multiply(X2,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
multiply(additive_inverse(X2),multiply(X2,X2)) = multiply(additive_inverse(X2),multiply(X2,additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c242,plain,
multiply(X2,additive_inverse(additive_inverse(X2))) = multiply(additive_inverse(additive_inverse(X2)),additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c241]) ).
cnf(c243,plain,
multiply(additive_inverse(X2),multiply(X2,additive_inverse(additive_inverse(X2)))) = multiply(additive_inverse(X2),multiply(additive_inverse(additive_inverse(X2)),additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
add(X2,add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))))) = multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c245,plain,
multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))) = add(X2,add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c244]) ).
cnf(c246,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c247,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c246]) ).
cnf(c248,plain,
multiply(add(X3,X2),multiply(X2,X2)) = multiply(add(X2,X3),multiply(X2,X2)),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
multiply(add(X3,X2),multiply(X3,X3)) = add(multiply(X3,multiply(X3,X3)),multiply(X2,multiply(X3,X3))),
inference(substitution,[status(thm)],[c156]) ).
cnf(c250,plain,
add(multiply(X3,multiply(X3,X3)),multiply(X2,multiply(X3,X3))) = add(X3,multiply(X2,multiply(X3,X3))),
inference(congruence,[status(thm)],[c54]) ).
cnf(c251,plain,
multiply(add(X3,X2),multiply(X3,X3)) = add(X3,multiply(X2,multiply(X3,X3))),
inference(transitivity,[status(thm)],[c249,c250]) ).
cnf(c252,plain,
multiply(add(X2,X3),multiply(X2,X2)) = add(X2,multiply(X3,multiply(X2,X2))),
inference(substitution,[status(thm)],[c251]) ).
cnf(c253,plain,
multiply(add(X3,X2),multiply(X2,X2)) = add(X2,multiply(X3,multiply(X2,X2))),
inference(transitivity,[status(thm)],[c248,c252]) ).
cnf(c254,plain,
multiply(add(X2,additive_inverse(X2)),multiply(additive_inverse(X2),additive_inverse(X2))) = add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2)))),
inference(substitution,[status(thm)],[c253]) ).
cnf(c255,plain,
add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2)))) = multiply(add(X2,additive_inverse(X2)),multiply(additive_inverse(X2),additive_inverse(X2))),
inference(symmetry,[status(thm)],[c254]) ).
cnf(c256,plain,
multiply(add(X2,additive_inverse(X2)),multiply(additive_inverse(X2),additive_inverse(X2))) = multiply(additive_identity,multiply(additive_inverse(X2),additive_inverse(X2))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c257,plain,
multiply(additive_identity,multiply(additive_inverse(X2),additive_inverse(X2))) = additive_identity,
inference(substitution,[status(thm)],[c177]) ).
cnf(c258,plain,
multiply(add(X2,additive_inverse(X2)),multiply(additive_inverse(X2),additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c256,c257]) ).
cnf(c259,plain,
add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c255,c258]) ).
cnf(c260,plain,
add(X2,add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))))) = add(X2,additive_identity),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
add(X2,add(additive_inverse(X2),multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))))) = X2,
inference(transitivity,[status(thm)],[c260,c36]) ).
cnf(c262,plain,
multiply(X2,multiply(additive_inverse(X2),additive_inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c245,c261]) ).
cnf(c263,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(additive_inverse(X2)),additive_inverse(additive_inverse(X2)))) = additive_inverse(X2),
inference(substitution,[status(thm)],[c262]) ).
cnf(c264,plain,
multiply(additive_inverse(X2),multiply(X2,additive_inverse(additive_inverse(X2)))) = additive_inverse(X2),
inference(transitivity,[status(thm)],[c243,c263]) ).
cnf(c265,plain,
multiply(additive_inverse(X2),multiply(X2,X2)) = additive_inverse(X2),
inference(transitivity,[status(thm)],[c240,c264]) ).
cnf(c266,plain,
additive_inverse(X2) = multiply(additive_inverse(X2),multiply(X2,X2)),
inference(symmetry,[status(thm)],[c265]) ).
cnf(c267,plain,
multiply(additive_inverse(X2),additive_inverse(X2)) = multiply(additive_inverse(X2),multiply(additive_inverse(X2),multiply(X2,X2))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
multiply(additive_inverse(X3),multiply(X3,X2)) = multiply(multiply(additive_inverse(X3),X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c269,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),multiply(X3,X2))) = multiply(additive_inverse(X3),multiply(multiply(additive_inverse(X3),X3),X2)),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
multiply(additive_inverse(X3),multiply(multiply(additive_inverse(X3),X3),X2)) = multiply(multiply(additive_inverse(X3),multiply(additive_inverse(X3),X3)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c271,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c272,plain,
multiply(additive_inverse(X2),X2) = multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(X2),X2)) = multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c272]) ).
cnf(c274,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))))) = multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))),
inference(substitution,[status(thm)],[c21]) ).
cnf(c275,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))) = add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))))),
inference(symmetry,[status(thm)],[c274]) ).
cnf(c276,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c277,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c276]) ).
cnf(c278,plain,
multiply(X3,add(X3,X2)) = multiply(X3,add(X2,X3)),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
multiply(X3,multiply(X3,add(X3,X2))) = multiply(X3,multiply(X3,add(X2,X3))),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,plain,
multiply(X3,add(X2,X3)) = add(multiply(X3,X2),multiply(X3,X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c281,plain,
multiply(X3,multiply(X3,add(X2,X3))) = multiply(X3,add(multiply(X3,X2),multiply(X3,X3))),
inference(congruence,[status(thm)],[c280]) ).
cnf(c282,plain,
multiply(X3,add(multiply(X3,X2),multiply(X3,X3))) = add(X3,multiply(X3,multiply(X3,X2))),
inference(substitution,[status(thm)],[c57]) ).
cnf(c283,plain,
multiply(X3,multiply(X3,add(X2,X3))) = add(X3,multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c281,c282]) ).
cnf(c284,plain,
multiply(X3,multiply(X3,add(X3,X2))) = add(X3,multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c279,c283]) ).
cnf(c285,plain,
multiply(X2,multiply(X2,add(X2,additive_inverse(X2)))) = add(X2,multiply(X2,multiply(X2,additive_inverse(X2)))),
inference(substitution,[status(thm)],[c284]) ).
cnf(c286,plain,
add(X2,multiply(X2,multiply(X2,additive_inverse(X2)))) = multiply(X2,multiply(X2,add(X2,additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c285]) ).
cnf(c287,plain,
multiply(X2,add(X2,additive_inverse(X2))) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c8]) ).
cnf(c288,plain,
multiply(X2,multiply(X2,add(X2,additive_inverse(X2)))) = multiply(X2,multiply(X2,additive_identity)),
inference(congruence,[status(thm)],[c287]) ).
cnf(c289,plain,
multiply(X2,multiply(X2,additive_identity)) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c69]) ).
cnf(c290,plain,
multiply(X2,multiply(X2,additive_identity)) = additive_identity,
inference(transitivity,[status(thm)],[c289,c69]) ).
cnf(c291,plain,
multiply(X2,multiply(X2,add(X2,additive_inverse(X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c288,c290]) ).
cnf(c292,plain,
add(X2,multiply(X2,multiply(X2,additive_inverse(X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c286,c291]) ).
cnf(c293,plain,
add(additive_inverse(X2),multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2))))) = additive_identity,
inference(substitution,[status(thm)],[c292]) ).
cnf(c294,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))))) = add(X2,additive_identity),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
add(X2,add(additive_inverse(X2),multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))))) = X2,
inference(transitivity,[status(thm)],[c294,c36]) ).
cnf(c296,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(X2),additive_inverse(additive_inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c275,c295]) ).
cnf(c297,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(X2),X2)) = X2,
inference(transitivity,[status(thm)],[c273,c296]) ).
cnf(c298,plain,
multiply(multiply(additive_inverse(X3),multiply(additive_inverse(X3),X3)),X2) = multiply(X3,X2),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
multiply(additive_inverse(X3),multiply(multiply(additive_inverse(X3),X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c270,c298]) ).
cnf(c300,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),multiply(X3,X2))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c269,c299]) ).
cnf(c301,plain,
multiply(additive_inverse(X2),multiply(additive_inverse(X2),multiply(X2,X2))) = multiply(X2,X2),
inference(substitution,[status(thm)],[c300]) ).
cnf(c302,plain,
multiply(additive_inverse(X2),additive_inverse(X2)) = multiply(X2,X2),
inference(transitivity,[status(thm)],[c267,c301]) ).
cnf(c303,plain,
multiply(X2,X2) = multiply(additive_inverse(X2),additive_inverse(X2)),
inference(symmetry,[status(thm)],[c302]) ).
cnf(c304,plain,
multiply(multiply(X3,X3),X2) = multiply(multiply(additive_inverse(X3),additive_inverse(X3)),X2),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2)) = multiply(multiply(additive_inverse(X3),additive_inverse(X3)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c306,plain,
multiply(multiply(additive_inverse(X3),additive_inverse(X3)),X2) = multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2)),
inference(symmetry,[status(thm)],[c305]) ).
cnf(c307,plain,
multiply(multiply(X3,X3),X2) = multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2)),
inference(transitivity,[status(thm)],[c304,c306]) ).
cnf(c308,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2)) = multiply(multiply(X3,X3),X2),
inference(symmetry,[status(thm)],[c307]) ).
cnf(c309,plain,
multiply(X3,multiply(X3,X2)) = multiply(multiply(X3,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c310,plain,
multiply(multiply(X3,X3),X2) = multiply(X3,multiply(X3,X2)),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2)) = multiply(X3,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c308,c310]) ).
cnf(c312,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2)))) = multiply(X3,multiply(X3,additive_inverse(multiply(X3,X2)))),
inference(substitution,[status(thm)],[c311]) ).
cnf(c313,plain,
multiply(X3,multiply(X3,additive_inverse(multiply(X3,X2)))) = multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2)))),
inference(symmetry,[status(thm)],[c312]) ).
cnf(c314,plain,
add(multiply(X3,X2),multiply(X3,multiply(X3,additive_inverse(multiply(X3,X2))))) = add(multiply(X3,X2),multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2))))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
multiply(add(multiply(X4,X3),multiply(X4,multiply(X4,additive_inverse(multiply(X4,X3))))),X2) = multiply(add(multiply(X4,X3),multiply(additive_inverse(X4),multiply(additive_inverse(X4),additive_inverse(multiply(X4,X3))))),X2),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2))) = multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2)))),
inference(substitution,[status(thm)],[c307]) ).
cnf(c317,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2)))) = multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2))),
inference(symmetry,[status(thm)],[c316]) ).
cnf(c318,plain,
add(multiply(X3,X2),multiply(additive_inverse(X3),multiply(additive_inverse(X3),additive_inverse(multiply(X3,X2))))) = add(multiply(X3,X2),multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2)))),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
multiply(add(multiply(X4,X3),multiply(additive_inverse(X4),multiply(additive_inverse(X4),additive_inverse(multiply(X4,X3))))),X2) = multiply(add(multiply(X4,X3),multiply(multiply(X4,X4),additive_inverse(multiply(X4,X3)))),X2),
inference(congruence,[status(thm)],[c318]) ).
cnf(c320,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c321,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c320]) ).
cnf(c322,plain,
multiply(add(X4,X2),X3) = multiply(add(X2,X4),X3),
inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X4,X2),X3)) = add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
multiply(X3,additive_inverse(X2)) = additive_inverse(multiply(X3,X2)),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c325,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)) = add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)),
inference(congruence,[status(thm)],[c324]) ).
cnf(c326,plain,
add(X2,multiply(X3,X4)) = add(multiply(X3,X4),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c327,plain,
add(multiply(X3,X4),X2) = add(X2,multiply(X3,X4)),
inference(symmetry,[status(thm)],[c326]) ).
cnf(c328,plain,
add(multiply(X5,X4),add(multiply(X3,X4),X2)) = add(multiply(X5,X4),add(X2,multiply(X3,X4))),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
add(multiply(X2,X4),X3) = add(X3,multiply(X2,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c330,plain,
add(X3,multiply(X2,X4)) = add(multiply(X2,X4),X3),
inference(symmetry,[status(thm)],[c329]) ).
cnf(c331,plain,
add(multiply(X5,X4),add(X3,multiply(X2,X4))) = add(multiply(X5,X4),add(multiply(X2,X4),X3)),
inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
add(multiply(X5,X4),add(multiply(X2,X4),X3)) = add(multiply(X2,X4),add(multiply(X5,X4),X3)),
inference(substitution,[status(thm)],[c85]) ).
cnf(c333,plain,
add(multiply(X2,X4),add(multiply(X5,X4),X3)) = add(add(multiply(X2,X4),multiply(X5,X4)),X3),
inference(substitution,[status(thm)],[c6]) ).
cnf(c334,plain,
multiply(add(X2,X4),X3) = add(multiply(X2,X3),multiply(X4,X3)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c335,plain,
add(multiply(X2,X3),multiply(X4,X3)) = multiply(add(X2,X4),X3),
inference(symmetry,[status(thm)],[c334]) ).
cnf(c336,plain,
add(add(multiply(X2,X4),multiply(X5,X4)),X3) = add(multiply(add(X2,X5),X4),X3),
inference(congruence,[status(thm)],[c335]) ).
cnf(c337,plain,
add(multiply(add(X2,X5),X4),X3) = add(X3,multiply(add(X2,X5),X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c338,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c339,plain,
multiply(add(X2,X4),X3) = multiply(add(X4,X2),X3),
inference(congruence,[status(thm)],[c338]) ).
cnf(c340,plain,
add(X3,multiply(add(X2,X5),X4)) = add(X3,multiply(add(X5,X2),X4)),
inference(congruence,[status(thm)],[c339]) ).
cnf(c341,plain,
add(multiply(add(X2,X5),X4),X3) = add(X3,multiply(add(X5,X2),X4)),
inference(transitivity,[status(thm)],[c337,c340]) ).
cnf(c342,plain,
add(add(multiply(X2,X4),multiply(X5,X4)),X3) = add(X3,multiply(add(X5,X2),X4)),
inference(transitivity,[status(thm)],[c336,c341]) ).
cnf(c343,plain,
add(multiply(X2,X4),add(multiply(X5,X4),X3)) = add(X3,multiply(add(X5,X2),X4)),
inference(transitivity,[status(thm)],[c333,c342]) ).
cnf(c344,plain,
add(multiply(X5,X4),add(multiply(X2,X4),X3)) = add(X3,multiply(add(X5,X2),X4)),
inference(transitivity,[status(thm)],[c332,c343]) ).
cnf(c345,plain,
add(multiply(X5,X4),add(X3,multiply(X2,X4))) = add(X3,multiply(add(X5,X2),X4)),
inference(transitivity,[status(thm)],[c331,c344]) ).
cnf(c346,plain,
add(multiply(X5,X4),add(X2,multiply(X3,X4))) = add(X2,multiply(add(X5,X3),X4)),
inference(substitution,[status(thm)],[c345]) ).
cnf(c347,plain,
add(multiply(X5,X4),add(multiply(X3,X4),X2)) = add(X2,multiply(add(X5,X3),X4)),
inference(transitivity,[status(thm)],[c328,c346]) ).
cnf(c348,plain,
add(multiply(X2,X3),add(multiply(X4,X3),additive_inverse(multiply(X4,X3)))) = add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)),
inference(substitution,[status(thm)],[c347]) ).
cnf(c349,plain,
add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)) = add(multiply(X2,X3),add(multiply(X4,X3),additive_inverse(multiply(X4,X3)))),
inference(symmetry,[status(thm)],[c348]) ).
cnf(c350,plain,
add(multiply(X3,X2),additive_inverse(multiply(X3,X2))) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c351,plain,
add(multiply(X2,X3),add(multiply(X4,X3),additive_inverse(multiply(X4,X3)))) = add(multiply(X2,X3),additive_identity),
inference(congruence,[status(thm)],[c350]) ).
cnf(c352,plain,
add(multiply(X2,X3),additive_identity) = multiply(X2,X3),
inference(substitution,[status(thm)],[c36]) ).
cnf(c353,plain,
add(multiply(X2,X3),add(multiply(X4,X3),additive_inverse(multiply(X4,X3)))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c351,c352]) ).
cnf(c354,plain,
add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c349,c353]) ).
cnf(c355,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c325,c354]) ).
cnf(c356,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X4,X2),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c323,c355]) ).
cnf(c357,plain,
add(multiply(X3,additive_inverse(X2)),multiply(add(X3,additive_inverse(X3)),X2)) = multiply(additive_inverse(X3),X2),
inference(substitution,[status(thm)],[c356]) ).
cnf(c358,plain,
multiply(additive_inverse(X3),X2) = add(multiply(X3,additive_inverse(X2)),multiply(add(X3,additive_inverse(X3)),X2)),
inference(symmetry,[status(thm)],[c357]) ).
cnf(c359,plain,
multiply(add(X3,additive_inverse(X3)),X2) = multiply(additive_identity,X2),
inference(congruence,[status(thm)],[c8]) ).
cnf(c360,plain,
add(multiply(X3,additive_inverse(X2)),multiply(add(X3,additive_inverse(X3)),X2)) = add(multiply(X3,additive_inverse(X2)),multiply(additive_identity,X2)),
inference(congruence,[status(thm)],[c359]) ).
cnf(c361,plain,
add(multiply(X3,additive_inverse(X2)),multiply(additive_identity,X2)) = add(multiply(X3,additive_inverse(X2)),additive_identity),
inference(congruence,[status(thm)],[c177]) ).
cnf(c362,plain,
add(multiply(X3,additive_inverse(X2)),additive_identity) = multiply(X3,additive_inverse(X2)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c363,plain,
add(multiply(X3,additive_inverse(X2)),multiply(additive_identity,X2)) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c361,c362]) ).
cnf(c364,plain,
add(multiply(X3,additive_inverse(X2)),multiply(add(X3,additive_inverse(X3)),X2)) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c360,c363]) ).
cnf(c365,plain,
multiply(additive_inverse(X3),X2) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c358,c364]) ).
cnf(c366,plain,
multiply(additive_inverse(multiply(X3,X3)),multiply(X3,X2)) = multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2))),
inference(substitution,[status(thm)],[c365]) ).
cnf(c367,plain,
multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2))) = multiply(additive_inverse(multiply(X3,X3)),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c366]) ).
cnf(c368,plain,
add(multiply(X3,X2),multiply(multiply(X3,X3),additive_inverse(multiply(X3,X2)))) = add(multiply(X3,X2),multiply(additive_inverse(multiply(X3,X3)),multiply(X3,X2))),
inference(congruence,[status(thm)],[c367]) ).
cnf(c369,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X4),additive_inverse(multiply(X4,X3)))),X2) = multiply(add(multiply(X4,X3),multiply(additive_inverse(multiply(X4,X4)),multiply(X4,X3))),X2),
inference(congruence,[status(thm)],[c368]) ).
cnf(c370,plain,
multiply(X3,multiply(X2,X4)) = multiply(multiply(X3,X2),X4),
inference(substitution,[status(thm)],[c24]) ).
cnf(c371,plain,
add(multiply(X5,X4),multiply(X3,multiply(X2,X4))) = add(multiply(X5,X4),multiply(multiply(X3,X2),X4)),
inference(congruence,[status(thm)],[c370]) ).
cnf(c372,plain,
multiply(add(X5,multiply(X3,X2)),X4) = add(multiply(X5,X4),multiply(multiply(X3,X2),X4)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c373,plain,
add(multiply(X5,X4),multiply(multiply(X3,X2),X4)) = multiply(add(X5,multiply(X3,X2)),X4),
inference(symmetry,[status(thm)],[c372]) ).
cnf(c374,plain,
add(multiply(X5,X4),multiply(X3,multiply(X2,X4))) = multiply(add(X5,multiply(X3,X2)),X4),
inference(transitivity,[status(thm)],[c371,c373]) ).
cnf(c375,plain,
add(multiply(multiply(X4,X3),X2),multiply(X5,multiply(multiply(X4,X3),X2))) = multiply(add(multiply(X4,X3),multiply(X5,multiply(X4,X3))),X2),
inference(substitution,[status(thm)],[c374]) ).
cnf(c376,plain,
multiply(add(multiply(X4,X3),multiply(X5,multiply(X4,X3))),X2) = add(multiply(multiply(X4,X3),X2),multiply(X5,multiply(multiply(X4,X3),X2))),
inference(symmetry,[status(thm)],[c375]) ).
cnf(c377,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c378,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X3,X2)),
inference(symmetry,[status(thm)],[c377]) ).
cnf(c379,plain,
multiply(X4,multiply(multiply(X4,X3),X2)) = multiply(X4,multiply(X4,multiply(X3,X2))),
inference(congruence,[status(thm)],[c378]) ).
cnf(c380,plain,
multiply(X4,multiply(X4,multiply(multiply(X4,X3),X2))) = multiply(X4,multiply(X4,multiply(X4,multiply(X3,X2)))),
inference(congruence,[status(thm)],[c379]) ).
cnf(c381,plain,
multiply(X3,multiply(X3,X2)) = multiply(multiply(X3,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c382,plain,
multiply(X3,multiply(X3,multiply(X3,X2))) = multiply(X3,multiply(multiply(X3,X3),X2)),
inference(congruence,[status(thm)],[c381]) ).
cnf(c383,plain,
multiply(X3,multiply(multiply(X3,X3),X2)) = multiply(multiply(X3,multiply(X3,X3)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c384,plain,
multiply(multiply(X3,multiply(X3,X3)),X2) = multiply(X3,X2),
inference(congruence,[status(thm)],[c54]) ).
cnf(c385,plain,
multiply(X3,multiply(multiply(X3,X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c383,c384]) ).
cnf(c386,plain,
multiply(X3,multiply(X3,multiply(X3,X2))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c382,c385]) ).
cnf(c387,plain,
multiply(X4,multiply(X4,multiply(X4,multiply(X3,X2)))) = multiply(X4,multiply(X3,X2)),
inference(substitution,[status(thm)],[c386]) ).
cnf(c388,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c389,plain,
multiply(X4,multiply(X4,multiply(X4,multiply(X3,X2)))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c387,c388]) ).
cnf(c390,plain,
multiply(X4,multiply(X4,multiply(multiply(X4,X3),X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c380,c389]) ).
cnf(c391,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X4,multiply(multiply(X4,X3),X2))),
inference(symmetry,[status(thm)],[c390]) ).
cnf(c392,plain,
add(multiply(multiply(X4,X3),X2),multiply(X5,multiply(multiply(X4,X3),X2))) = add(multiply(X4,multiply(X4,multiply(multiply(X4,X3),X2))),multiply(X5,multiply(multiply(X4,X3),X2))),
inference(congruence,[status(thm)],[c391]) ).
cnf(c393,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c394,plain,
add(multiply(X5,multiply(X4,X3)),multiply(X2,X3)) = add(multiply(multiply(X5,X4),X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c393]) ).
cnf(c395,plain,
multiply(add(multiply(X5,X4),X2),X3) = add(multiply(multiply(X5,X4),X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c396,plain,
add(multiply(multiply(X5,X4),X3),multiply(X2,X3)) = multiply(add(multiply(X5,X4),X2),X3),
inference(symmetry,[status(thm)],[c395]) ).
cnf(c397,plain,
add(multiply(X4,X3),X2) = add(X2,multiply(X4,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c398,plain,
multiply(add(multiply(X5,X4),X2),X3) = multiply(add(X2,multiply(X5,X4)),X3),
inference(congruence,[status(thm)],[c397]) ).
cnf(c399,plain,
add(multiply(multiply(X5,X4),X3),multiply(X2,X3)) = multiply(add(X2,multiply(X5,X4)),X3),
inference(transitivity,[status(thm)],[c396,c398]) ).
cnf(c400,plain,
add(multiply(X5,multiply(X4,X3)),multiply(X2,X3)) = multiply(add(X2,multiply(X5,X4)),X3),
inference(transitivity,[status(thm)],[c394,c399]) ).
cnf(c401,plain,
add(multiply(X4,multiply(X4,multiply(multiply(X4,X3),X2))),multiply(X5,multiply(multiply(X4,X3),X2))) = multiply(add(X5,multiply(X4,X4)),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c400]) ).
cnf(c402,plain,
add(multiply(multiply(X4,X3),X2),multiply(X5,multiply(multiply(X4,X3),X2))) = multiply(add(X5,multiply(X4,X4)),multiply(multiply(X4,X3),X2)),
inference(transitivity,[status(thm)],[c392,c401]) ).
cnf(c403,plain,
multiply(add(multiply(X4,X3),multiply(X5,multiply(X4,X3))),X2) = multiply(add(X5,multiply(X4,X4)),multiply(multiply(X4,X3),X2)),
inference(transitivity,[status(thm)],[c376,c402]) ).
cnf(c404,plain,
multiply(add(multiply(X5,X3),multiply(X4,multiply(X5,X3))),X2) = multiply(add(X4,multiply(X5,X5)),multiply(multiply(X5,X3),X2)),
inference(substitution,[status(thm)],[c403]) ).
cnf(c405,plain,
add(X2,multiply(X3,X3)) = add(multiply(X3,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c406,plain,
multiply(add(X4,multiply(X5,X5)),multiply(multiply(X5,X3),X2)) = multiply(add(multiply(X5,X5),X4),multiply(multiply(X5,X3),X2)),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
multiply(add(multiply(X5,X3),multiply(X4,multiply(X5,X3))),X2) = multiply(add(multiply(X5,X5),X4),multiply(multiply(X5,X3),X2)),
inference(transitivity,[status(thm)],[c404,c406]) ).
cnf(c408,plain,
multiply(add(multiply(X4,X3),multiply(additive_inverse(multiply(X4,X4)),multiply(X4,X3))),X2) = multiply(add(multiply(X4,X4),additive_inverse(multiply(X4,X4))),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c407]) ).
cnf(c409,plain,
add(multiply(X2,X2),additive_inverse(multiply(X2,X2))) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c410,plain,
multiply(add(multiply(X4,X4),additive_inverse(multiply(X4,X4))),multiply(multiply(X4,X3),X2)) = multiply(additive_identity,multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
multiply(additive_identity,multiply(X3,X2)) = multiply(multiply(additive_identity,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c412,plain,
multiply(multiply(additive_identity,X3),X2) = multiply(additive_identity,X2),
inference(congruence,[status(thm)],[c177]) ).
cnf(c413,plain,
multiply(additive_identity,multiply(X3,X2)) = multiply(additive_identity,X2),
inference(transitivity,[status(thm)],[c411,c412]) ).
cnf(c414,plain,
multiply(additive_identity,multiply(multiply(X4,X3),X2)) = multiply(additive_identity,X2),
inference(substitution,[status(thm)],[c413]) ).
cnf(c415,plain,
multiply(additive_identity,multiply(multiply(X4,X3),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c414,c177]) ).
cnf(c416,plain,
multiply(add(multiply(X4,X4),additive_inverse(multiply(X4,X4))),multiply(multiply(X4,X3),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c410,c415]) ).
cnf(c417,plain,
multiply(add(multiply(X4,X3),multiply(additive_inverse(multiply(X4,X4)),multiply(X4,X3))),X2) = additive_identity,
inference(transitivity,[status(thm)],[c408,c416]) ).
cnf(c418,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X4),additive_inverse(multiply(X4,X3)))),X2) = additive_identity,
inference(transitivity,[status(thm)],[c369,c417]) ).
cnf(c419,plain,
multiply(add(multiply(X4,X3),multiply(additive_inverse(X4),multiply(additive_inverse(X4),additive_inverse(multiply(X4,X3))))),X2) = additive_identity,
inference(transitivity,[status(thm)],[c319,c418]) ).
cnf(c420,plain,
multiply(add(multiply(X4,X3),multiply(X4,multiply(X4,additive_inverse(multiply(X4,X3))))),X2) = additive_identity,
inference(transitivity,[status(thm)],[c315,c419]) ).
cnf(c421,plain,
multiply(X4,multiply(add(multiply(X4,additive_inverse(multiply(X4,X3))),X3),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c237,c420]) ).
cnf(c422,plain,
multiply(X4,multiply(add(X3,multiply(X4,additive_inverse(multiply(X4,X3)))),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c225,c421]) ).
cnf(c423,plain,
multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2)))) = additive_identity,
inference(substitution,[status(thm)],[c422]) ).
cnf(c424,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2))))) = multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_identity),
inference(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c69]) ).
cnf(c426,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),multiply(X2,multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c424,c425]) ).
cnf(c427,plain,
multiply(add(X3,multiply(X2,additive_inverse(multiply(X2,X3)))),X2) = additive_identity,
inference(transitivity,[status(thm)],[c221,c426]) ).
cnf(c428,plain,
add(multiply(X3,X2),multiply(multiply(X2,additive_inverse(multiply(X2,X3))),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c212,c427]) ).
cnf(c429,plain,
add(multiply(X3,X2),multiply(X2,multiply(additive_inverse(multiply(X2,X3)),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c210,c428]) ).
cnf(c430,plain,
add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c208,c429]) ).
cnf(c431,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_inverse(additive_identity),
inference(congruence,[status(thm)],[c430]) ).
cnf(c432,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c431,c185]) ).
cnf(c433,plain,
add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c149,c432]) ).
cnf(c434,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c114,c433]) ).
cnf(c435,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c111,c434]) ).
cnf(c436,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c42,c435]) ).
cnf(c437,plain,
add(additive_inverse(multiply(X2,X3)),multiply(X3,multiply(multiply(X3,X2),X3))) = additive_identity,
inference(substitution,[status(thm)],[c436]) ).
cnf(c438,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(X3,multiply(multiply(X3,X2),X3)))) = add(multiply(X2,X3),additive_identity),
inference(congruence,[status(thm)],[c437]) ).
cnf(c439,plain,
add(multiply(X2,X3),additive_identity) = multiply(X2,X3),
inference(substitution,[status(thm)],[c36]) ).
cnf(c440,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(X3,multiply(multiply(X3,X2),X3)))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c438,c439]) ).
cnf(c441,plain,
multiply(X3,multiply(multiply(X3,X2),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c31,c440]) ).
cnf(c442,plain,
multiply(multiply(X4,multiply(multiply(X4,X3),X4)),X2) = multiply(multiply(X3,X4),X2),
inference(congruence,[status(thm)],[c441]) ).
cnf(c443,plain,
multiply(X4,multiply(multiply(multiply(X4,X3),X4),X2)) = multiply(multiply(X3,X4),X2),
inference(transitivity,[status(thm)],[c29,c442]) ).
cnf(c444,plain,
multiply(X4,multiply(multiply(X4,X3),multiply(X4,X2))) = multiply(multiply(X3,X4),X2),
inference(transitivity,[status(thm)],[c28,c443]) ).
cnf(c445,plain,
multiply(X3,multiply(multiply(X3,X4),multiply(X3,X2))) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c444]) ).
cnf(c446,plain,
multiply(X5,multiply(X3,multiply(multiply(X3,X4),multiply(X3,X2)))) = multiply(X5,multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c445]) ).
cnf(c447,plain,
multiply(multiply(X5,X3),multiply(multiply(X3,X4),multiply(X3,X2))) = multiply(X5,multiply(multiply(X4,X3),X2)),
inference(transitivity,[status(thm)],[c26,c446]) ).
cnf(c448,plain,
multiply(multiply(X2,X3),multiply(multiply(X3,X2),multiply(X3,X2))) = multiply(X2,multiply(multiply(X2,X3),X2)),
inference(substitution,[status(thm)],[c447]) ).
cnf(c449,plain,
add(additive_inverse(multiply(X3,X2)),multiply(multiply(X2,X3),multiply(multiply(X3,X2),multiply(X3,X2)))) = add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),X2))),
inference(congruence,[status(thm)],[c448]) ).
cnf(c450,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c451,plain,
multiply(multiply(X2,X3),X2) = multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c450]) ).
cnf(c452,plain,
multiply(X2,multiply(multiply(X2,X3),X2)) = multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c451]) ).
cnf(c453,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),X2))) = add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))),
inference(congruence,[status(thm)],[c452]) ).
cnf(c454,plain,
additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))) = multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c455,plain,
multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))) = additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))),
inference(symmetry,[status(thm)],[c454]) ).
cnf(c456,plain,
multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2)))) = multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c455]) ).
cnf(c457,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(congruence,[status(thm)],[c456]) ).
cnf(c458,plain,
additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))) = multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c459,plain,
multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2)))) = additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c458]) ).
cnf(c460,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(congruence,[status(thm)],[c459]) ).
cnf(c461,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(substitution,[status(thm)],[c147]) ).
cnf(c462,plain,
add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c461]) ).
cnf(c463,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_inverse(additive_identity),
inference(congruence,[status(thm)],[c430]) ).
cnf(c464,plain,
additive_inverse(add(multiply(X3,X2),multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c463,c185]) ).
cnf(c465,plain,
add(additive_inverse(multiply(X3,X2)),additive_inverse(multiply(X2,multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c462,c464]) ).
cnf(c466,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,additive_inverse(multiply(multiply(X2,X3),additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c460,c465]) ).
cnf(c467,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),additive_inverse(additive_inverse(X2))))) = additive_identity,
inference(transitivity,[status(thm)],[c457,c466]) ).
cnf(c468,plain,
add(additive_inverse(multiply(X3,X2)),multiply(X2,multiply(multiply(X2,X3),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c453,c467]) ).
cnf(c469,plain,
add(additive_inverse(multiply(X3,X2)),multiply(multiply(X2,X3),multiply(multiply(X3,X2),multiply(X3,X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c449,c468]) ).
cnf(c470,plain,
add(additive_inverse(multiply(X2,X3)),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3)))) = additive_identity,
inference(substitution,[status(thm)],[c469]) ).
cnf(c471,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))) = add(multiply(X2,X3),additive_identity),
inference(congruence,[status(thm)],[c470]) ).
cnf(c472,plain,
add(multiply(X2,X3),additive_identity) = multiply(X2,X3),
inference(substitution,[status(thm)],[c36]) ).
cnf(c473,plain,
add(multiply(X2,X3),add(additive_inverse(multiply(X2,X3)),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c471,c472]) ).
cnf(c474,plain,
multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c23,c473]) ).
cnf(c475,plain,
multiply(X2,X3) = multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))),
inference(symmetry,[status(thm)],[c474]) ).
cnf(c476,plain,
multiply(multiply(X3,X2),multiply(X2,X3)) = multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3)))),
inference(congruence,[status(thm)],[c475]) ).
cnf(c477,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(X2,X3))) = multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))),
inference(congruence,[status(thm)],[c476]) ).
cnf(c478,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))),
inference(substitution,[status(thm)],[c386]) ).
cnf(c479,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c478,c474]) ).
cnf(c480,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),multiply(X2,X3))) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c477,c479]) ).
cnf(c481,plain,
multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2))) = multiply(X3,X2),
inference(substitution,[status(thm)],[c480]) ).
cnf(c482,plain,
multiply(X3,X2) = multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2))),
inference(symmetry,[status(thm)],[c481]) ).
cnf(c483,plain,
add(additive_inverse(multiply(X2,X3)),multiply(X3,X2)) = add(additive_inverse(multiply(X2,X3)),multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2)))),
inference(congruence,[status(thm)],[c482]) ).
cnf(c484,plain,
additive_inverse(additive_inverse(add(X2,additive_inverse(X3)))) = add(X2,additive_inverse(X3)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c485,plain,
add(X2,additive_inverse(X3)) = additive_inverse(additive_inverse(add(X2,additive_inverse(X3)))),
inference(symmetry,[status(thm)],[c484]) ).
cnf(c486,plain,
multiply(X3,add(X2,additive_inverse(X3))) = multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3))))),
inference(congruence,[status(thm)],[c485]) ).
cnf(c487,plain,
multiply(X3,multiply(X3,add(X2,additive_inverse(X3)))) = multiply(X3,multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3)))))),
inference(congruence,[status(thm)],[c486]) ).
cnf(c488,plain,
multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3)))) = multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3))))),
inference(substitution,[status(thm)],[c365]) ).
cnf(c489,plain,
multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3))))) = multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3)))),
inference(symmetry,[status(thm)],[c488]) ).
cnf(c490,plain,
multiply(X3,multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3)))))) = multiply(X3,multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3))))),
inference(congruence,[status(thm)],[c489]) ).
cnf(c491,plain,
additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))) = multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3)))),
inference(substitution,[status(thm)],[c107]) ).
cnf(c492,plain,
multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3)))) = additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))),
inference(symmetry,[status(thm)],[c491]) ).
cnf(c493,plain,
multiply(X3,multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3))))) = multiply(X3,additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3))))),
inference(congruence,[status(thm)],[c492]) ).
cnf(c494,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))) = multiply(X3,additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3))))),
inference(substitution,[status(thm)],[c365]) ).
cnf(c495,plain,
multiply(X3,additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3))))) = multiply(additive_inverse(X3),multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))),
inference(symmetry,[status(thm)],[c494]) ).
cnf(c496,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c497,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c496]) ).
cnf(c498,plain,
multiply(X3,add(X2,X3)) = multiply(X3,add(X3,X2)),
inference(congruence,[status(thm)],[c497]) ).
cnf(c499,plain,
multiply(X3,multiply(X3,add(X2,X3))) = multiply(X3,multiply(X3,add(X3,X2))),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,plain,
multiply(X3,multiply(X3,add(X2,X3))) = add(X3,multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c499,c284]) ).
cnf(c501,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))) = add(additive_inverse(X3),multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2))),
inference(substitution,[status(thm)],[c500]) ).
cnf(c502,plain,
add(additive_inverse(X3),multiply(additive_inverse(X3),multiply(additive_inverse(X3),X2))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(congruence,[status(thm)],[c311]) ).
cnf(c503,plain,
multiply(additive_inverse(X3),multiply(additive_inverse(X3),add(X2,additive_inverse(X3)))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c501,c502]) ).
cnf(c504,plain,
multiply(X3,additive_inverse(multiply(additive_inverse(X3),add(X2,additive_inverse(X3))))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c495,c503]) ).
cnf(c505,plain,
multiply(X3,multiply(additive_inverse(X3),additive_inverse(add(X2,additive_inverse(X3))))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c493,c504]) ).
cnf(c506,plain,
multiply(X3,multiply(X3,additive_inverse(additive_inverse(add(X2,additive_inverse(X3)))))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c490,c505]) ).
cnf(c507,plain,
multiply(X3,multiply(X3,add(X2,additive_inverse(X3)))) = add(additive_inverse(X3),multiply(X3,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c487,c506]) ).
cnf(c508,plain,
multiply(multiply(X2,X3),multiply(multiply(X2,X3),add(multiply(X3,X2),additive_inverse(multiply(X2,X3))))) = add(additive_inverse(multiply(X2,X3)),multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2)))),
inference(substitution,[status(thm)],[c507]) ).
cnf(c509,plain,
add(additive_inverse(multiply(X2,X3)),multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2)))) = multiply(multiply(X2,X3),multiply(multiply(X2,X3),add(multiply(X3,X2),additive_inverse(multiply(X2,X3))))),
inference(symmetry,[status(thm)],[c508]) ).
cnf(c510,plain,
multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))))))) = multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))),
inference(substitution,[status(thm)],[c219]) ).
cnf(c511,plain,
multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))))))),
inference(symmetry,[status(thm)],[c510]) ).
cnf(c512,plain,
multiply(add(multiply(X4,X3),additive_inverse(multiply(X3,X4))),multiply(multiply(X3,X4),X2)) = multiply(multiply(add(multiply(X4,X3),additive_inverse(multiply(X3,X4))),multiply(X3,X4)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c513,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = add(multiply(X4,X3),multiply(X2,additive_inverse(X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c514,plain,
add(multiply(X4,X3),multiply(X2,additive_inverse(X3))) = add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)),
inference(symmetry,[status(thm)],[c513]) ).
cnf(c515,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c13]) ).
cnf(c516,plain,
X3 = add(X2,add(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c515]) ).
cnf(c517,plain,
multiply(X4,X3) = multiply(add(X2,add(X4,additive_inverse(X2))),X3),
inference(congruence,[status(thm)],[c516]) ).
cnf(c518,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = add(multiply(X2,additive_inverse(X3)),multiply(add(X2,add(X4,additive_inverse(X2))),X3)),
inference(congruence,[status(thm)],[c517]) ).
cnf(c519,plain,
add(multiply(X2,additive_inverse(X3)),multiply(add(X2,add(X4,additive_inverse(X2))),X3)) = multiply(add(X4,additive_inverse(X2)),X3),
inference(substitution,[status(thm)],[c356]) ).
cnf(c520,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = multiply(add(X4,additive_inverse(X2)),X3),
inference(transitivity,[status(thm)],[c518,c519]) ).
cnf(c521,plain,
add(multiply(X4,X3),multiply(X2,additive_inverse(X3))) = multiply(add(X4,additive_inverse(X2)),X3),
inference(transitivity,[status(thm)],[c514,c520]) ).
cnf(c522,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),additive_inverse(multiply(X2,X3)))) = multiply(add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),multiply(X2,X3)),
inference(substitution,[status(thm)],[c521]) ).
cnf(c523,plain,
multiply(add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),multiply(X2,X3)) = add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),additive_inverse(multiply(X2,X3)))),
inference(symmetry,[status(thm)],[c522]) ).
cnf(c524,plain,
additive_inverse(multiply(X2,X3)) = multiply(X2,additive_inverse(X3)),
inference(substitution,[status(thm)],[c107]) ).
cnf(c525,plain,
multiply(multiply(X2,X3),additive_inverse(multiply(X2,X3))) = multiply(multiply(X2,X3),multiply(X2,additive_inverse(X3))),
inference(congruence,[status(thm)],[c524]) ).
cnf(c526,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),additive_inverse(multiply(X2,X3)))) = add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),multiply(X2,additive_inverse(X3)))),
inference(congruence,[status(thm)],[c525]) ).
cnf(c527,plain,
multiply(X5,multiply(X4,multiply(X3,X2))) = multiply(multiply(X5,X4),multiply(X3,X2)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c528,plain,
multiply(multiply(X5,X4),multiply(X3,X2)) = multiply(X5,multiply(X4,multiply(X3,X2))),
inference(symmetry,[status(thm)],[c527]) ).
cnf(c529,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c530,plain,
multiply(X5,multiply(X4,multiply(X3,X2))) = multiply(X5,multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c529]) ).
cnf(c531,plain,
multiply(multiply(X5,X4),multiply(X3,X2)) = multiply(X5,multiply(multiply(X4,X3),X2)),
inference(transitivity,[status(thm)],[c528,c530]) ).
cnf(c532,plain,
multiply(multiply(X2,X3),multiply(X2,additive_inverse(X3))) = multiply(X2,multiply(multiply(X3,X2),additive_inverse(X3))),
inference(substitution,[status(thm)],[c531]) ).
cnf(c533,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),multiply(X2,additive_inverse(X3)))) = add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,multiply(multiply(X3,X2),additive_inverse(X3)))),
inference(congruence,[status(thm)],[c532]) ).
cnf(c534,plain,
additive_inverse(multiply(multiply(X3,X2),X3)) = multiply(multiply(X3,X2),additive_inverse(X3)),
inference(substitution,[status(thm)],[c107]) ).
cnf(c535,plain,
multiply(multiply(X3,X2),additive_inverse(X3)) = additive_inverse(multiply(multiply(X3,X2),X3)),
inference(symmetry,[status(thm)],[c534]) ).
cnf(c536,plain,
multiply(X2,multiply(multiply(X3,X2),additive_inverse(X3))) = multiply(X2,additive_inverse(multiply(multiply(X3,X2),X3))),
inference(congruence,[status(thm)],[c535]) ).
cnf(c537,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,multiply(multiply(X3,X2),additive_inverse(X3)))) = add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,additive_inverse(multiply(multiply(X3,X2),X3)))),
inference(congruence,[status(thm)],[c536]) ).
cnf(c538,plain,
add(additive_identity,multiply(X2,X3)) = multiply(X2,X3),
inference(substitution,[status(thm)],[c10]) ).
cnf(c539,plain,
multiply(X2,X3) = add(additive_identity,multiply(X2,X3)),
inference(symmetry,[status(thm)],[c538]) ).
cnf(c540,plain,
multiply(multiply(X2,X3),multiply(X2,X3)) = multiply(add(additive_identity,multiply(X2,X3)),multiply(X2,X3)),
inference(congruence,[status(thm)],[c539]) ).
cnf(c541,plain,
multiply(X2,X3) = multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3))),
inference(symmetry,[status(thm)],[c474]) ).
cnf(c542,plain,
add(X4,multiply(X2,X3)) = add(X4,multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3)))),
inference(congruence,[status(thm)],[c541]) ).
cnf(c543,plain,
multiply(add(X4,multiply(X2,X3)),multiply(X2,X3)) = multiply(add(X4,multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3)))),multiply(X2,X3)),
inference(congruence,[status(thm)],[c542]) ).
cnf(c544,plain,
multiply(X3,multiply(X2,X2)) = multiply(multiply(X3,X2),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c545,plain,
add(X4,multiply(X3,multiply(X2,X2))) = add(X4,multiply(multiply(X3,X2),X2)),
inference(congruence,[status(thm)],[c544]) ).
cnf(c546,plain,
multiply(add(X4,multiply(X3,multiply(X2,X2))),X2) = multiply(add(X4,multiply(multiply(X3,X2),X2)),X2),
inference(congruence,[status(thm)],[c545]) ).
cnf(c547,plain,
add(multiply(X4,multiply(X2,X2)),multiply(X3,multiply(X2,multiply(X2,X2)))) = multiply(add(X4,multiply(X3,X2)),multiply(X2,X2)),
inference(substitution,[status(thm)],[c374]) ).
cnf(c548,plain,
multiply(add(X4,multiply(X3,X2)),multiply(X2,X2)) = add(multiply(X4,multiply(X2,X2)),multiply(X3,multiply(X2,multiply(X2,X2)))),
inference(symmetry,[status(thm)],[c547]) ).
cnf(c549,plain,
multiply(X3,multiply(X2,multiply(X2,X2))) = multiply(X3,X2),
inference(congruence,[status(thm)],[c54]) ).
cnf(c550,plain,
add(multiply(X4,multiply(X2,X2)),multiply(X3,multiply(X2,multiply(X2,X2)))) = add(multiply(X4,multiply(X2,X2)),multiply(X3,X2)),
inference(congruence,[status(thm)],[c549]) ).
cnf(c551,plain,
add(multiply(X4,multiply(X2,X2)),multiply(X3,X2)) = multiply(add(X3,multiply(X4,X2)),X2),
inference(substitution,[status(thm)],[c400]) ).
cnf(c552,plain,
add(multiply(X4,multiply(X2,X2)),multiply(X3,multiply(X2,multiply(X2,X2)))) = multiply(add(X3,multiply(X4,X2)),X2),
inference(transitivity,[status(thm)],[c550,c551]) ).
cnf(c553,plain,
multiply(add(X4,multiply(X3,X2)),multiply(X2,X2)) = multiply(add(X3,multiply(X4,X2)),X2),
inference(transitivity,[status(thm)],[c548,c552]) ).
cnf(c554,plain,
multiply(add(multiply(X3,X2),multiply(X4,X2)),multiply(X2,X2)) = multiply(add(X4,multiply(multiply(X3,X2),X2)),X2),
inference(substitution,[status(thm)],[c553]) ).
cnf(c555,plain,
multiply(add(X4,multiply(multiply(X3,X2),X2)),X2) = multiply(add(multiply(X3,X2),multiply(X4,X2)),multiply(X2,X2)),
inference(symmetry,[status(thm)],[c554]) ).
cnf(c556,plain,
multiply(add(X3,X4),X2) = add(multiply(X3,X2),multiply(X4,X2)),
inference(substitution,[status(thm)],[c156]) ).
cnf(c557,plain,
add(multiply(X3,X2),multiply(X4,X2)) = multiply(add(X3,X4),X2),
inference(symmetry,[status(thm)],[c556]) ).
cnf(c558,plain,
multiply(add(multiply(X3,X2),multiply(X4,X2)),multiply(X2,X2)) = multiply(multiply(add(X3,X4),X2),multiply(X2,X2)),
inference(congruence,[status(thm)],[c557]) ).
cnf(c559,plain,
multiply(add(X3,X4),multiply(X2,multiply(X2,X2))) = multiply(multiply(add(X3,X4),X2),multiply(X2,X2)),
inference(substitution,[status(thm)],[c24]) ).
cnf(c560,plain,
multiply(multiply(add(X3,X4),X2),multiply(X2,X2)) = multiply(add(X3,X4),multiply(X2,multiply(X2,X2))),
inference(symmetry,[status(thm)],[c559]) ).
cnf(c561,plain,
multiply(add(X3,X4),multiply(X2,multiply(X2,X2))) = multiply(add(X3,X4),X2),
inference(congruence,[status(thm)],[c54]) ).
cnf(c562,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c563,plain,
multiply(add(X3,X4),X2) = multiply(add(X4,X3),X2),
inference(congruence,[status(thm)],[c562]) ).
cnf(c564,plain,
multiply(add(X3,X4),multiply(X2,multiply(X2,X2))) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c561,c563]) ).
cnf(c565,plain,
multiply(multiply(add(X3,X4),X2),multiply(X2,X2)) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c560,c564]) ).
cnf(c566,plain,
multiply(add(multiply(X3,X2),multiply(X4,X2)),multiply(X2,X2)) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c558,c565]) ).
cnf(c567,plain,
multiply(add(X4,multiply(multiply(X3,X2),X2)),X2) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c555,c566]) ).
cnf(c568,plain,
multiply(add(X4,multiply(X3,multiply(X2,X2))),X2) = multiply(add(X4,X3),X2),
inference(transitivity,[status(thm)],[c546,c567]) ).
cnf(c569,plain,
multiply(add(X4,multiply(multiply(X3,X2),multiply(multiply(X2,X3),multiply(X2,X3)))),multiply(X2,X3)) = multiply(add(X4,multiply(X3,X2)),multiply(X2,X3)),
inference(substitution,[status(thm)],[c568]) ).
cnf(c570,plain,
multiply(add(X4,multiply(X2,X3)),multiply(X2,X3)) = multiply(add(X4,multiply(X3,X2)),multiply(X2,X3)),
inference(transitivity,[status(thm)],[c543,c569]) ).
cnf(c571,plain,
multiply(add(additive_identity,multiply(X2,X3)),multiply(X2,X3)) = multiply(add(additive_identity,multiply(X3,X2)),multiply(X2,X3)),
inference(substitution,[status(thm)],[c570]) ).
cnf(c572,plain,
add(additive_identity,multiply(X3,X2)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c10]) ).
cnf(c573,plain,
multiply(add(additive_identity,multiply(X3,X2)),multiply(X2,X3)) = multiply(multiply(X3,X2),multiply(X2,X3)),
inference(congruence,[status(thm)],[c572]) ).
cnf(c574,plain,
multiply(add(additive_identity,multiply(X2,X3)),multiply(X2,X3)) = multiply(multiply(X3,X2),multiply(X2,X3)),
inference(transitivity,[status(thm)],[c571,c573]) ).
cnf(c575,plain,
multiply(multiply(X2,X3),multiply(X2,X3)) = multiply(multiply(X3,X2),multiply(X2,X3)),
inference(transitivity,[status(thm)],[c540,c574]) ).
cnf(c576,plain,
multiply(multiply(X3,X2),multiply(X3,X2)) = multiply(multiply(X2,X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c575]) ).
cnf(c577,plain,
multiply(multiply(X2,X3),multiply(X3,X2)) = multiply(multiply(X3,X2),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c576]) ).
cnf(c578,plain,
add(multiply(multiply(X3,X4),multiply(X4,X3)),multiply(X4,X2)) = add(multiply(multiply(X4,X3),multiply(X4,X3)),multiply(X4,X2)),
inference(congruence,[status(thm)],[c577]) ).
cnf(c579,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c580,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X3,X2)),
inference(symmetry,[status(thm)],[c579]) ).
cnf(c581,plain,
add(multiply(multiply(X5,X3),X2),multiply(X5,X4)) = add(multiply(X5,multiply(X3,X2)),multiply(X5,X4)),
inference(congruence,[status(thm)],[c580]) ).
cnf(c582,plain,
multiply(X5,add(multiply(X3,X2),X4)) = add(multiply(X5,multiply(X3,X2)),multiply(X5,X4)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c583,plain,
add(multiply(X5,multiply(X3,X2)),multiply(X5,X4)) = multiply(X5,add(multiply(X3,X2),X4)),
inference(symmetry,[status(thm)],[c582]) ).
cnf(c584,plain,
add(multiply(X3,X2),X4) = add(X4,multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c585,plain,
multiply(X5,add(multiply(X3,X2),X4)) = multiply(X5,add(X4,multiply(X3,X2))),
inference(congruence,[status(thm)],[c584]) ).
cnf(c586,plain,
add(multiply(X5,multiply(X3,X2)),multiply(X5,X4)) = multiply(X5,add(X4,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c583,c585]) ).
cnf(c587,plain,
add(multiply(multiply(X5,X3),X2),multiply(X5,X4)) = multiply(X5,add(X4,multiply(X3,X2))),
inference(transitivity,[status(thm)],[c581,c586]) ).
cnf(c588,plain,
add(multiply(multiply(X5,X4),X3),multiply(X5,X2)) = multiply(X5,add(X2,multiply(X4,X3))),
inference(substitution,[status(thm)],[c587]) ).
cnf(c589,plain,
add(X2,multiply(X4,X3)) = add(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c590,plain,
multiply(X5,add(X2,multiply(X4,X3))) = multiply(X5,add(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c589]) ).
cnf(c591,plain,
add(multiply(multiply(X5,X4),X3),multiply(X5,X2)) = multiply(X5,add(multiply(X4,X3),X2)),
inference(transitivity,[status(thm)],[c588,c590]) ).
cnf(c592,plain,
add(multiply(multiply(X4,X3),multiply(X4,X3)),multiply(X4,X2)) = multiply(X4,add(multiply(X3,multiply(X4,X3)),X2)),
inference(substitution,[status(thm)],[c591]) ).
cnf(c593,plain,
multiply(X2,multiply(X3,X2)) = multiply(multiply(X2,X3),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c594,plain,
add(multiply(X3,multiply(X4,X3)),X2) = add(multiply(multiply(X3,X4),X3),X2),
inference(congruence,[status(thm)],[c593]) ).
cnf(c595,plain,
multiply(X4,add(multiply(X3,multiply(X4,X3)),X2)) = multiply(X4,add(multiply(multiply(X3,X4),X3),X2)),
inference(congruence,[status(thm)],[c594]) ).
cnf(c596,plain,
add(multiply(multiply(X4,X3),multiply(X4,X3)),multiply(X4,X2)) = multiply(X4,add(multiply(multiply(X3,X4),X3),X2)),
inference(transitivity,[status(thm)],[c592,c595]) ).
cnf(c597,plain,
add(multiply(multiply(X3,X4),multiply(X4,X3)),multiply(X4,X2)) = multiply(X4,add(multiply(multiply(X3,X4),X3),X2)),
inference(transitivity,[status(thm)],[c578,c596]) ).
cnf(c598,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,additive_inverse(multiply(multiply(X3,X2),X3)))) = multiply(X2,add(multiply(multiply(X3,X2),X3),additive_inverse(multiply(multiply(X3,X2),X3)))),
inference(substitution,[status(thm)],[c597]) ).
cnf(c599,plain,
add(multiply(multiply(X3,X2),X3),additive_inverse(multiply(multiply(X3,X2),X3))) = additive_identity,
inference(substitution,[status(thm)],[c8]) ).
cnf(c600,plain,
multiply(X2,add(multiply(multiply(X3,X2),X3),additive_inverse(multiply(multiply(X3,X2),X3)))) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c599]) ).
cnf(c601,plain,
multiply(X2,add(multiply(multiply(X3,X2),X3),additive_inverse(multiply(multiply(X3,X2),X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c600,c69]) ).
cnf(c602,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,additive_inverse(multiply(multiply(X3,X2),X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c598,c601]) ).
cnf(c603,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(X2,multiply(multiply(X3,X2),additive_inverse(X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c537,c602]) ).
cnf(c604,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),multiply(X2,additive_inverse(X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c533,c603]) ).
cnf(c605,plain,
add(multiply(multiply(X3,X2),multiply(X2,X3)),multiply(multiply(X2,X3),additive_inverse(multiply(X2,X3)))) = additive_identity,
inference(transitivity,[status(thm)],[c526,c604]) ).
cnf(c606,plain,
multiply(add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),multiply(X2,X3)) = additive_identity,
inference(transitivity,[status(thm)],[c523,c605]) ).
cnf(c607,plain,
multiply(multiply(add(multiply(X4,X3),additive_inverse(multiply(X3,X4))),multiply(X3,X4)),X2) = multiply(additive_identity,X2),
inference(congruence,[status(thm)],[c606]) ).
cnf(c608,plain,
multiply(multiply(add(multiply(X4,X3),additive_inverse(multiply(X3,X4))),multiply(X3,X4)),X2) = additive_identity,
inference(transitivity,[status(thm)],[c607,c177]) ).
cnf(c609,plain,
multiply(add(multiply(X4,X3),additive_inverse(multiply(X3,X4))),multiply(multiply(X3,X4),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c512,c608]) ).
cnf(c610,plain,
multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2))))))) = additive_identity,
inference(substitution,[status(thm)],[c609]) ).
cnf(c611,plain,
multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))))))) = multiply(multiply(X3,X2),additive_identity),
inference(congruence,[status(thm)],[c610]) ).
cnf(c612,plain,
multiply(multiply(X3,X2),additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c69]) ).
cnf(c613,plain,
multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),multiply(add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))))))) = additive_identity,
inference(transitivity,[status(thm)],[c611,c612]) ).
cnf(c614,plain,
multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c511,c613]) ).
cnf(c615,plain,
multiply(multiply(X2,X3),add(multiply(X3,X2),additive_inverse(multiply(X2,X3)))) = additive_identity,
inference(substitution,[status(thm)],[c614]) ).
cnf(c616,plain,
multiply(multiply(X2,X3),multiply(multiply(X2,X3),add(multiply(X3,X2),additive_inverse(multiply(X2,X3))))) = multiply(multiply(X2,X3),additive_identity),
inference(congruence,[status(thm)],[c615]) ).
cnf(c617,plain,
multiply(multiply(X3,X4),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))) = multiply(multiply(X3,X4),X2),
inference(substitution,[status(thm)],[c386]) ).
cnf(c618,plain,
multiply(multiply(X3,X4),X2) = multiply(multiply(X3,X4),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))),
inference(symmetry,[status(thm)],[c617]) ).
cnf(c619,plain,
multiply(additive_inverse(multiply(X3,X4)),multiply(additive_inverse(multiply(X3,X4)),X2)) = multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2)),
inference(substitution,[status(thm)],[c311]) ).
cnf(c620,plain,
multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2)) = multiply(additive_inverse(multiply(X3,X4)),multiply(additive_inverse(multiply(X3,X4)),X2)),
inference(symmetry,[status(thm)],[c619]) ).
cnf(c621,plain,
multiply(multiply(multiply(X3,X4),multiply(X3,X4)),X2) = multiply(additive_inverse(multiply(X3,X4)),multiply(additive_inverse(multiply(X3,X4)),X2)),
inference(substitution,[status(thm)],[c307]) ).
cnf(c622,plain,
multiply(additive_inverse(multiply(X3,X4)),multiply(additive_inverse(multiply(X3,X4)),X2)) = multiply(multiply(multiply(X3,X4),multiply(X3,X4)),X2),
inference(symmetry,[status(thm)],[c621]) ).
cnf(c623,plain,
multiply(multiply(multiply(X3,X4),multiply(X3,X4)),X2) = multiply(multiply(multiply(X4,X3),multiply(X3,X4)),X2),
inference(congruence,[status(thm)],[c575]) ).
cnf(c624,plain,
multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)) = multiply(multiply(multiply(X4,X3),multiply(X3,X4)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c625,plain,
multiply(multiply(multiply(X4,X3),multiply(X3,X4)),X2) = multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)),
inference(symmetry,[status(thm)],[c624]) ).
cnf(c626,plain,
multiply(multiply(multiply(X3,X4),multiply(X3,X4)),X2) = multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)),
inference(transitivity,[status(thm)],[c623,c625]) ).
cnf(c627,plain,
multiply(additive_inverse(multiply(X3,X4)),multiply(additive_inverse(multiply(X3,X4)),X2)) = multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)),
inference(transitivity,[status(thm)],[c622,c626]) ).
cnf(c628,plain,
multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2)) = multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)),
inference(transitivity,[status(thm)],[c620,c627]) ).
cnf(c629,plain,
multiply(multiply(X3,X4),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))),
inference(substitution,[status(thm)],[c628]) ).
cnf(c630,plain,
multiply(multiply(X4,X3),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2))),
inference(congruence,[status(thm)],[c628]) ).
cnf(c631,plain,
add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = multiply(X2,X3),
inference(substitution,[status(thm)],[c13]) ).
cnf(c632,plain,
multiply(X2,X3) = add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))),
inference(symmetry,[status(thm)],[c631]) ).
cnf(c633,plain,
multiply(multiply(X3,X4),X2) = multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2),
inference(congruence,[status(thm)],[c632]) ).
cnf(c634,plain,
multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2)) = multiply(multiply(X4,X3),multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2)),
inference(congruence,[status(thm)],[c633]) ).
cnf(c635,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2))),
inference(congruence,[status(thm)],[c634]) ).
cnf(c636,plain,
multiply(X4,multiply(add(X3,multiply(X4,X4)),X2)) = multiply(multiply(X4,add(X3,multiply(X4,X4))),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c637,plain,
multiply(multiply(X4,add(X3,multiply(X4,X4))),X2) = multiply(add(X4,multiply(X4,X3)),X2),
inference(congruence,[status(thm)],[c57]) ).
cnf(c638,plain,
multiply(X4,multiply(add(X3,multiply(X4,X4)),X2)) = multiply(add(X4,multiply(X4,X3)),X2),
inference(transitivity,[status(thm)],[c636,c637]) ).
cnf(c639,plain,
multiply(X4,multiply(add(multiply(X4,X3),multiply(X4,X4)),X2)) = multiply(add(X4,multiply(X4,multiply(X4,X3))),X2),
inference(substitution,[status(thm)],[c638]) ).
cnf(c640,plain,
multiply(add(X4,multiply(X4,multiply(X4,X3))),X2) = multiply(X4,multiply(add(multiply(X4,X3),multiply(X4,X4)),X2)),
inference(symmetry,[status(thm)],[c639]) ).
cnf(c641,plain,
multiply(X3,add(X2,X3)) = add(multiply(X3,X2),multiply(X3,X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c642,plain,
add(multiply(X3,X2),multiply(X3,X3)) = multiply(X3,add(X2,X3)),
inference(symmetry,[status(thm)],[c641]) ).
cnf(c643,plain,
multiply(add(multiply(X4,X3),multiply(X4,X4)),X2) = multiply(multiply(X4,add(X3,X4)),X2),
inference(congruence,[status(thm)],[c642]) ).
cnf(c644,plain,
multiply(X4,multiply(add(multiply(X4,X3),multiply(X4,X4)),X2)) = multiply(X4,multiply(multiply(X4,add(X3,X4)),X2)),
inference(congruence,[status(thm)],[c643]) ).
cnf(c645,plain,
multiply(X4,multiply(add(X3,X4),X2)) = multiply(multiply(X4,add(X3,X4)),X2),
inference(substitution,[status(thm)],[c24]) ).
cnf(c646,plain,
multiply(multiply(X4,add(X3,X4)),X2) = multiply(X4,multiply(add(X3,X4),X2)),
inference(symmetry,[status(thm)],[c645]) ).
cnf(c647,plain,
multiply(X4,multiply(multiply(X4,add(X3,X4)),X2)) = multiply(X4,multiply(X4,multiply(add(X3,X4),X2))),
inference(congruence,[status(thm)],[c646]) ).
cnf(c648,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c649,plain,
multiply(add(X3,X4),X2) = multiply(add(X4,X3),X2),
inference(congruence,[status(thm)],[c648]) ).
cnf(c650,plain,
multiply(X4,multiply(add(X3,X4),X2)) = multiply(X4,multiply(add(X4,X3),X2)),
inference(congruence,[status(thm)],[c649]) ).
cnf(c651,plain,
multiply(X4,multiply(X4,multiply(add(X3,X4),X2))) = multiply(X4,multiply(X4,multiply(add(X4,X3),X2))),
inference(congruence,[status(thm)],[c650]) ).
cnf(c652,plain,
multiply(X4,multiply(multiply(X4,add(X3,X4)),X2)) = multiply(X4,multiply(X4,multiply(add(X4,X3),X2))),
inference(transitivity,[status(thm)],[c647,c651]) ).
cnf(c653,plain,
multiply(X4,multiply(add(multiply(X4,X3),multiply(X4,X4)),X2)) = multiply(X4,multiply(X4,multiply(add(X4,X3),X2))),
inference(transitivity,[status(thm)],[c644,c652]) ).
cnf(c654,plain,
multiply(add(X4,multiply(X4,multiply(X4,X3))),X2) = multiply(X4,multiply(X4,multiply(add(X4,X3),X2))),
inference(transitivity,[status(thm)],[c640,c653]) ).
cnf(c655,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))))),X2) = multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2))),
inference(substitution,[status(thm)],[c654]) ).
cnf(c656,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2))) = multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))))),X2),
inference(symmetry,[status(thm)],[c655]) ).
cnf(c657,plain,
multiply(multiply(X3,X2),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2))))) = multiply(multiply(X3,X2),additive_identity),
inference(congruence,[status(thm)],[c614]) ).
cnf(c658,plain,
add(multiply(X3,X2),multiply(multiply(X3,X2),multiply(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))))) = add(multiply(X3,X2),multiply(multiply(X3,X2),additive_identity)),
inference(congruence,[status(thm)],[c657]) ).
cnf(c659,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))))),X2) = multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),additive_identity)),X2),
inference(congruence,[status(thm)],[c658]) ).
cnf(c660,plain,
add(multiply(X3,X2),multiply(multiply(X3,X2),additive_identity)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c63]) ).
cnf(c661,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),additive_identity)),X2) = multiply(multiply(X4,X3),X2),
inference(congruence,[status(thm)],[c660]) ).
cnf(c662,plain,
multiply(add(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))))),X2) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c659,c661]) ).
cnf(c663,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(add(multiply(X4,X3),add(multiply(X3,X4),additive_inverse(multiply(X4,X3)))),X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c656,c662]) ).
cnf(c664,plain,
multiply(multiply(X4,X3),multiply(multiply(X4,X3),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c635,c663]) ).
cnf(c665,plain,
multiply(multiply(X4,X3),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c630,c664]) ).
cnf(c666,plain,
multiply(multiply(X3,X4),multiply(multiply(X3,X4),multiply(multiply(X3,X4),X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c629,c665]) ).
cnf(c667,plain,
multiply(multiply(X3,X4),X2) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c618,c666]) ).
cnf(c668,plain,
multiply(multiply(X3,X2),additive_identity) = multiply(multiply(X2,X3),additive_identity),
inference(substitution,[status(thm)],[c667]) ).
cnf(c669,plain,
multiply(multiply(X2,X3),additive_identity) = multiply(multiply(X3,X2),additive_identity),
inference(symmetry,[status(thm)],[c668]) ).
cnf(c670,plain,
multiply(multiply(X3,X2),additive_identity) = additive_identity,
inference(substitution,[status(thm)],[c69]) ).
cnf(c671,plain,
multiply(multiply(X2,X3),additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c669,c670]) ).
cnf(c672,plain,
multiply(multiply(X2,X3),multiply(multiply(X2,X3),add(multiply(X3,X2),additive_inverse(multiply(X2,X3))))) = additive_identity,
inference(transitivity,[status(thm)],[c616,c671]) ).
cnf(c673,plain,
add(additive_inverse(multiply(X2,X3)),multiply(multiply(X2,X3),multiply(multiply(X2,X3),multiply(X3,X2)))) = additive_identity,
inference(transitivity,[status(thm)],[c509,c672]) ).
cnf(c674,plain,
add(additive_inverse(multiply(X2,X3)),multiply(X3,X2)) = additive_identity,
inference(transitivity,[status(thm)],[c483,c673]) ).
cnf(c675,plain,
add(multiply(X3,X2),additive_inverse(multiply(X2,X3))) = additive_identity,
inference(transitivity,[status(thm)],[c17,c674]) ).
cnf(c676,plain,
add(multiply(X2,X3),additive_inverse(multiply(X3,X2))) = additive_identity,
inference(substitution,[status(thm)],[c675]) ).
cnf(c677,plain,
add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = add(multiply(X3,X2),additive_identity),
inference(congruence,[status(thm)],[c676]) ).
cnf(c678,plain,
add(multiply(X3,X2),additive_identity) = multiply(X3,X2),
inference(substitution,[status(thm)],[c36]) ).
cnf(c679,plain,
add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c677,c678]) ).
cnf(c680,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c15,c679]) ).
cnf(c681,plain,
multiply(a,b) = multiply(b,a),
inference(substitution,[status(thm)],[c680]) ).
cnf(c682,plain,
multiply(b,a) = multiply(a,b),
inference(symmetry,[status(thm)],[c681]) ).
cnf(c683,axiom,
multiply(a,b) = c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c684,plain,
multiply(b,a) = c,
inference(transitivity,[status(thm)],[c682,c683]) ).
cnf(c685,plain,
$false,
inference(resolution,[status(thm)],[c1,c684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG009-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:03:32 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 86.94/11.51 Command-line arguments: --flatten --complete-subsets
% 86.94/11.51
% 86.94/11.51 % SZS status Unsatisfiable
% 86.94/11.51
% 87.74/11.56 % SZS output start CNFRefutation
% See solution above
% 90.92/11.93
% 90.92/11.93 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------