%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 09:35:37 AM UTC 2026
% Result : Unsatisfiable 2.32s 0.52s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 119
% Number of leaves : 10
% Syntax : Number of clauses : 580 ( 580 unt; 0 nHn; 149 RR)
% Number of literals : 580 ( 579 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 618 ( 28 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(add(a,b),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiply_add) ).
cnf(c2,axiom,
multiply(X2,inverse(X2)) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c3,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c4,plain,
add(X3,n0) = add(X3,multiply(X2,inverse(X2))),
inference(congruence,[status(thm)],[c3]) ).
cnf(c5,plain,
multiply(n1,add(X3,n0)) = multiply(n1,add(X3,multiply(X2,inverse(X2)))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
add(X,multiply(Y,Z)) = multiply(add(Y,X),add(Z,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',add_multiply_property) ).
cnf(c7,plain,
add(X3,multiply(X2,inverse(X2))) = multiply(add(X2,X3),add(inverse(X2),X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
multiply(n1,add(X3,multiply(X2,inverse(X2)))) = multiply(n1,multiply(add(X2,X3),add(inverse(X2),X3))),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
add(X2,inverse(X2)) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',step) ).
cnf(c10,plain,
n1 = add(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
multiply(n1,multiply(add(X2,X3),add(inverse(X2),X3))) = multiply(add(X2,inverse(X2)),multiply(add(X2,X3),add(inverse(X2),X3))),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
multiply(add(X2,inverse(X2)),multiply(add(X2,Y2),add(inverse(X2),Y2))) = Y2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1_dual) ).
cnf(c13,plain,
multiply(add(X2,inverse(X2)),multiply(add(X2,X3),add(inverse(X2),X3))) = X3,
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
multiply(n1,multiply(add(X2,X3),add(inverse(X2),X3))) = X3,
inference(transitivity,[status(thm)],[c11,c13]) ).
cnf(c15,plain,
multiply(n1,add(X3,multiply(X2,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c8,c14]) ).
cnf(c16,plain,
multiply(n1,add(X2,n0)) = X2,
inference(transitivity,[status(thm)],[c5,c15]) ).
cnf(c17,plain,
X2 = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c18,plain,
add(n1,X2) = add(n1,multiply(n1,add(X2,n0))),
inference(congruence,[status(thm)],[c17]) ).
cnf(c19,plain,
add(n1,multiply(n1,add(X2,n0))) = multiply(add(n1,n1),add(add(X2,n0),n1)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c20,plain,
multiply(n1,add(add(n1,n0),n0)) = add(n1,n0),
inference(substitution,[status(thm)],[c16]) ).
cnf(c21,plain,
add(n1,n0) = multiply(n1,add(add(n1,n0),n0)),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,axiom,
multiply(X2,add(Y2,Z2)) = add(multiply(Y2,X2),multiply(Z2,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply_add_property) ).
cnf(c23,plain,
multiply(n1,add(add(n1,n0),n0)) = add(multiply(add(n1,n0),n1),multiply(n0,n1)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
add(multiply(X3,n1),multiply(n0,X2)) = multiply(add(n0,multiply(X3,n1)),add(X2,multiply(X3,n1))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c25,plain,
n1 = add(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c26,plain,
multiply(X3,n1) = multiply(X3,add(X2,inverse(X2))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
add(n0,multiply(X3,n1)) = add(n0,multiply(X3,add(X2,inverse(X2)))),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
multiply(X3,add(X2,inverse(X2))) = add(multiply(X2,X3),multiply(inverse(X2),X3)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c29,plain,
add(n0,multiply(X3,add(X2,inverse(X2)))) = add(n0,add(multiply(X2,X3),multiply(inverse(X2),X3))),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c31,plain,
add(n0,add(multiply(X2,X3),multiply(inverse(X2),X3))) = add(multiply(X2,inverse(X2)),add(multiply(X2,X3),multiply(inverse(X2),X3))),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,axiom,
add(multiply(X2,inverse(X2)),add(multiply(X2,Y2),multiply(inverse(X2),Y2))) = Y2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley1) ).
cnf(c33,plain,
add(multiply(X2,inverse(X2)),add(multiply(X2,X3),multiply(inverse(X2),X3))) = X3,
inference(substitution,[status(thm)],[c32]) ).
cnf(c34,plain,
add(n0,add(multiply(X2,X3),multiply(inverse(X2),X3))) = X3,
inference(transitivity,[status(thm)],[c31,c33]) ).
cnf(c35,plain,
add(n0,multiply(X3,add(X2,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c29,c34]) ).
cnf(c36,plain,
add(n0,multiply(X2,n1)) = X2,
inference(transitivity,[status(thm)],[c27,c35]) ).
cnf(c37,plain,
multiply(add(n0,multiply(X3,n1)),add(X2,multiply(X3,n1))) = multiply(X3,add(X2,multiply(X3,n1))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
add(multiply(X3,n1),multiply(n0,X2)) = multiply(X3,add(X2,multiply(X3,n1))),
inference(transitivity,[status(thm)],[c24,c37]) ).
cnf(c39,plain,
add(multiply(add(n1,n0),n1),multiply(n0,n1)) = multiply(add(n1,n0),add(n1,multiply(add(n1,n0),n1))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,plain,
add(n1,multiply(add(n1,n0),n1)) = multiply(add(add(n1,n0),n1),add(n1,n1)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c41,plain,
X2 = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c42,plain,
add(X3,multiply(X2,add(X3,n0))) = add(multiply(n1,add(X3,n0)),multiply(X2,add(X3,n0))),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
multiply(add(X3,n0),add(n1,X2)) = add(multiply(n1,add(X3,n0)),multiply(X2,add(X3,n0))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c44,plain,
add(multiply(n1,add(X3,n0)),multiply(X2,add(X3,n0))) = multiply(add(X3,n0),add(n1,X2)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
add(X3,multiply(X2,add(X3,n0))) = multiply(add(X3,n0),add(n1,X2)),
inference(transitivity,[status(thm)],[c42,c44]) ).
cnf(c46,plain,
add(X2,multiply(n1,add(X2,n0))) = multiply(add(X2,n0),add(n1,n1)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c47,plain,
multiply(add(X2,n0),add(n1,n1)) = add(X2,multiply(n1,add(X2,n0))),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
add(X2,multiply(n1,add(X2,n0))) = add(X2,X2),
inference(congruence,[status(thm)],[c16]) ).
cnf(c49,plain,
multiply(add(X2,n0),add(n1,n1)) = add(X2,X2),
inference(transitivity,[status(thm)],[c47,c48]) ).
cnf(c50,plain,
multiply(add(multiply(X2,X3),n0),add(n1,n1)) = add(multiply(X2,X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
multiply(X3,add(X2,X2)) = add(multiply(X2,X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c52,plain,
add(multiply(X2,X3),multiply(X2,X3)) = multiply(X3,add(X2,X2)),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,plain,
multiply(add(multiply(X2,X3),n0),add(n1,n1)) = multiply(X3,add(X2,X2)),
inference(transitivity,[status(thm)],[c50,c52]) ).
cnf(c54,plain,
multiply(add(multiply(n1,add(add(n1,n0),n1)),n0),add(n1,n1)) = multiply(add(add(n1,n0),n1),add(n1,n1)),
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
multiply(add(add(n1,n0),n1),add(n1,n1)) = multiply(add(multiply(n1,add(add(n1,n0),n1)),n0),add(n1,n1)),
inference(symmetry,[status(thm)],[c54]) ).
cnf(c56,plain,
add(n1,multiply(n0,X2)) = multiply(add(n0,n1),add(X2,n1)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c57,plain,
add(X3,multiply(X2,X4)) = multiply(add(X2,X3),add(X4,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c58,plain,
add(add(X4,multiply(X3,X2)),multiply(X5,add(X2,X4))) = add(multiply(add(X3,X4),add(X2,X4)),multiply(X5,add(X2,X4))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
multiply(add(X3,X5),add(add(X4,X5),X2)) = add(multiply(add(X4,X5),add(X3,X5)),multiply(X2,add(X3,X5))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c60,plain,
add(multiply(add(X4,X5),add(X3,X5)),multiply(X2,add(X3,X5))) = multiply(add(X3,X5),add(add(X4,X5),X2)),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
add(add(X5,multiply(X4,X3)),multiply(X2,add(X3,X5))) = multiply(add(X3,X5),add(add(X4,X5),X2)),
inference(transitivity,[status(thm)],[c58,c60]) ).
cnf(c62,plain,
add(add(n0,multiply(X3,n1)),multiply(X2,add(n1,n0))) = multiply(add(n1,n0),add(add(X3,n0),X2)),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
multiply(add(n1,n0),add(add(X3,n0),X2)) = add(add(n0,multiply(X3,n1)),multiply(X2,add(n1,n0))),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c64,plain,
add(add(n0,multiply(X3,n1)),multiply(X2,add(n1,n0))) = add(X3,multiply(X2,add(n1,n0))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c65,plain,
multiply(add(n1,n0),add(add(X3,n0),X2)) = add(X3,multiply(X2,add(n1,n0))),
inference(transitivity,[status(thm)],[c63,c64]) ).
cnf(c66,plain,
multiply(add(n1,n0),add(add(X2,n0),n0)) = add(X2,multiply(n0,add(n1,n0))),
inference(substitution,[status(thm)],[c65]) ).
cnf(c67,plain,
add(X2,multiply(n0,add(n1,n0))) = multiply(add(n1,n0),add(add(X2,n0),n0)),
inference(symmetry,[status(thm)],[c66]) ).
cnf(c68,plain,
add(n0,multiply(n1,add(X2,n0))) = multiply(add(n1,n0),add(add(X2,n0),n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c69,plain,
multiply(add(n1,n0),add(add(X2,n0),n0)) = add(n0,multiply(n1,add(X2,n0))),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
add(n0,multiply(n1,add(X2,n0))) = add(n0,X2),
inference(congruence,[status(thm)],[c16]) ).
cnf(c71,plain,
multiply(add(n1,n0),add(add(X2,n0),n0)) = add(n0,X2),
inference(transitivity,[status(thm)],[c69,c70]) ).
cnf(c72,plain,
add(X2,multiply(n0,add(n1,n0))) = add(n0,X2),
inference(transitivity,[status(thm)],[c67,c71]) ).
cnf(c73,plain,
add(n1,multiply(n0,add(n1,n0))) = add(n0,n1),
inference(substitution,[status(thm)],[c72]) ).
cnf(c74,plain,
add(n0,n1) = add(n1,multiply(n0,add(n1,n0))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
add(n1,multiply(n0,add(n1,n0))) = multiply(add(n1,n0),add(n1,n0)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c76,plain,
add(n0,multiply(n1,n1)) = multiply(add(n1,n0),add(n1,n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c77,plain,
multiply(add(n1,n0),add(n1,n0)) = add(n0,multiply(n1,n1)),
inference(symmetry,[status(thm)],[c76]) ).
cnf(c78,plain,
add(n0,multiply(n1,n1)) = n1,
inference(substitution,[status(thm)],[c36]) ).
cnf(c79,plain,
multiply(add(n1,n0),add(n1,n0)) = n1,
inference(transitivity,[status(thm)],[c77,c78]) ).
cnf(c80,plain,
add(n1,multiply(n0,add(n1,n0))) = n1,
inference(transitivity,[status(thm)],[c75,c79]) ).
cnf(c81,plain,
add(n0,n1) = n1,
inference(transitivity,[status(thm)],[c74,c80]) ).
cnf(c82,plain,
multiply(add(n0,n1),add(X2,n1)) = multiply(n1,add(X2,n1)),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
add(n1,multiply(n0,X2)) = multiply(n1,add(X2,n1)),
inference(transitivity,[status(thm)],[c56,c82]) ).
cnf(c84,plain,
add(n1,multiply(n0,add(n1,n0))) = multiply(n1,add(add(n1,n0),n1)),
inference(substitution,[status(thm)],[c83]) ).
cnf(c85,plain,
multiply(n1,add(add(n1,n0),n1)) = add(n1,multiply(n0,add(n1,n0))),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
add(n1,multiply(n0,add(n1,n0))) = multiply(add(n1,n0),add(n1,n0)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c87,plain,
add(n0,multiply(n1,n1)) = multiply(add(n1,n0),add(n1,n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c88,plain,
multiply(add(n1,n0),add(n1,n0)) = add(n0,multiply(n1,n1)),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
add(n0,multiply(n1,n1)) = n1,
inference(substitution,[status(thm)],[c36]) ).
cnf(c90,plain,
multiply(add(n1,n0),add(n1,n0)) = n1,
inference(transitivity,[status(thm)],[c88,c89]) ).
cnf(c91,plain,
add(n1,multiply(n0,add(n1,n0))) = n1,
inference(transitivity,[status(thm)],[c86,c90]) ).
cnf(c92,plain,
multiply(n1,add(add(n1,n0),n1)) = n1,
inference(transitivity,[status(thm)],[c85,c91]) ).
cnf(c93,plain,
add(multiply(n1,add(add(n1,n0),n1)),n0) = add(n1,n0),
inference(congruence,[status(thm)],[c92]) ).
cnf(c94,plain,
multiply(add(multiply(n1,add(add(n1,n0),n1)),n0),add(n1,n1)) = multiply(add(n1,n0),add(n1,n1)),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
multiply(add(n1,n0),add(n1,n1)) = add(n1,n1),
inference(substitution,[status(thm)],[c49]) ).
cnf(c96,plain,
multiply(add(multiply(n1,add(add(n1,n0),n1)),n0),add(n1,n1)) = add(n1,n1),
inference(transitivity,[status(thm)],[c94,c95]) ).
cnf(c97,plain,
multiply(add(add(n1,n0),n1),add(n1,n1)) = add(n1,n1),
inference(transitivity,[status(thm)],[c55,c96]) ).
cnf(c98,plain,
add(n1,multiply(add(n1,n0),n1)) = add(n1,n1),
inference(transitivity,[status(thm)],[c40,c97]) ).
cnf(c99,plain,
multiply(add(n1,n0),add(n1,multiply(add(n1,n0),n1))) = multiply(add(n1,n0),add(n1,n1)),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
multiply(add(n1,n0),add(n1,n1)) = add(n1,n1),
inference(substitution,[status(thm)],[c49]) ).
cnf(c101,plain,
multiply(add(n1,n0),add(n1,multiply(add(n1,n0),n1))) = add(n1,n1),
inference(transitivity,[status(thm)],[c99,c100]) ).
cnf(c102,plain,
add(multiply(add(n1,n0),n1),multiply(n0,n1)) = add(n1,n1),
inference(transitivity,[status(thm)],[c39,c101]) ).
cnf(c103,plain,
multiply(n1,add(add(n1,n0),n0)) = add(n1,n1),
inference(transitivity,[status(thm)],[c23,c102]) ).
cnf(c104,plain,
add(n1,n0) = add(n1,n1),
inference(transitivity,[status(thm)],[c21,c103]) ).
cnf(c105,plain,
add(n1,n1) = add(n1,n0),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c106,plain,
multiply(add(n1,n1),add(add(X2,n0),n1)) = multiply(add(n1,n0),add(add(X2,n0),n1)),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
X2 = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c108,plain,
add(multiply(X3,add(X2,n0)),X2) = add(multiply(X3,add(X2,n0)),multiply(n1,add(X2,n0))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
multiply(add(X2,n0),add(X3,n1)) = add(multiply(X3,add(X2,n0)),multiply(n1,add(X2,n0))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c110,plain,
add(multiply(X3,add(X2,n0)),multiply(n1,add(X2,n0))) = multiply(add(X2,n0),add(X3,n1)),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
add(multiply(X3,add(X2,n0)),X2) = multiply(add(X2,n0),add(X3,n1)),
inference(transitivity,[status(thm)],[c108,c110]) ).
cnf(c112,plain,
add(multiply(add(X2,n0),add(X3,n0)),X3) = multiply(add(X3,n0),add(add(X2,n0),n1)),
inference(substitution,[status(thm)],[c111]) ).
cnf(c113,plain,
multiply(add(X3,n0),add(add(X2,n0),n1)) = add(multiply(add(X2,n0),add(X3,n0)),X3),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
add(n0,multiply(X2,X3)) = multiply(add(X2,n0),add(X3,n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c115,plain,
multiply(add(X2,n0),add(X3,n0)) = add(n0,multiply(X2,X3)),
inference(symmetry,[status(thm)],[c114]) ).
cnf(c116,plain,
add(multiply(add(X2,n0),add(X3,n0)),X3) = add(add(n0,multiply(X2,X3)),X3),
inference(congruence,[status(thm)],[c115]) ).
cnf(c117,plain,
multiply(add(X3,n0),add(add(X2,n0),n1)) = add(add(n0,multiply(X2,X3)),X3),
inference(transitivity,[status(thm)],[c113,c116]) ).
cnf(c118,plain,
multiply(add(n1,n0),add(add(X2,n0),n1)) = add(add(n0,multiply(X2,n1)),n1),
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
add(add(n0,multiply(X2,n1)),n1) = add(X2,n1),
inference(congruence,[status(thm)],[c36]) ).
cnf(c120,plain,
multiply(add(n1,n0),add(add(X2,n0),n1)) = add(X2,n1),
inference(transitivity,[status(thm)],[c118,c119]) ).
cnf(c121,plain,
multiply(add(n1,n1),add(add(X2,n0),n1)) = add(X2,n1),
inference(transitivity,[status(thm)],[c106,c120]) ).
cnf(c122,plain,
add(n1,multiply(n1,add(X2,n0))) = add(X2,n1),
inference(transitivity,[status(thm)],[c19,c121]) ).
cnf(c123,plain,
add(n1,X2) = add(X2,n1),
inference(transitivity,[status(thm)],[c18,c122]) ).
cnf(c124,plain,
add(n1,n0) = add(n0,n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
add(n1,n0) = n1,
inference(transitivity,[status(thm)],[c124,c81]) ).
cnf(c126,plain,
n1 = add(n1,n0),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
multiply(add(X2,n0),n1) = multiply(add(X2,n0),add(n1,n0)),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
add(n0,multiply(X2,n1)) = multiply(add(X2,n0),add(n1,n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c129,plain,
multiply(add(X2,n0),add(n1,n0)) = add(n0,multiply(X2,n1)),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
multiply(add(X2,n0),add(n1,n0)) = X2,
inference(transitivity,[status(thm)],[c129,c36]) ).
cnf(c131,plain,
multiply(add(X2,n0),n1) = X2,
inference(transitivity,[status(thm)],[c127,c130]) ).
cnf(c132,plain,
X2 = multiply(add(X2,n0),n1),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
add(X2,X2) = add(X2,multiply(add(X2,n0),n1)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
X2 = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c135,plain,
multiply(n1,X2) = multiply(n1,multiply(n1,add(X2,n0))),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
multiply(n1,add(inverse(n0),n0)) = inverse(n0),
inference(substitution,[status(thm)],[c16]) ).
cnf(c137,plain,
inverse(n0) = multiply(n1,add(inverse(n0),n0)),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c138,plain,
add(multiply(X2,add(n1,n0)),multiply(n0,add(n1,n0))) = add(n0,multiply(X2,add(n1,n0))),
inference(substitution,[status(thm)],[c72]) ).
cnf(c139,plain,
add(n0,multiply(X2,add(n1,n0))) = add(multiply(X2,add(n1,n0)),multiply(n0,add(n1,n0))),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
multiply(add(n1,n0),add(X2,n0)) = add(multiply(X2,add(n1,n0)),multiply(n0,add(n1,n0))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c141,plain,
add(multiply(X2,add(n1,n0)),multiply(n0,add(n1,n0))) = multiply(add(n1,n0),add(X2,n0)),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
add(n0,multiply(n1,X2)) = multiply(add(n1,n0),add(X2,n0)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c143,plain,
multiply(add(n1,n0),add(X2,n0)) = add(n0,multiply(n1,X2)),
inference(symmetry,[status(thm)],[c142]) ).
cnf(c144,plain,
add(multiply(X2,add(n1,n0)),multiply(n0,add(n1,n0))) = add(n0,multiply(n1,X2)),
inference(transitivity,[status(thm)],[c141,c143]) ).
cnf(c145,plain,
add(n0,multiply(X2,add(n1,n0))) = add(n0,multiply(n1,X2)),
inference(transitivity,[status(thm)],[c139,c144]) ).
cnf(c146,plain,
add(n0,multiply(n1,X2)) = add(n0,multiply(X2,add(n1,n0))),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
add(n1,n0) = add(n0,n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c148,plain,
multiply(X2,add(n1,n0)) = multiply(X2,add(n0,n1)),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
add(n0,multiply(X2,add(n1,n0))) = add(n0,multiply(X2,add(n0,n1))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
multiply(X2,add(n0,n1)) = multiply(X2,n1),
inference(congruence,[status(thm)],[c81]) ).
cnf(c151,plain,
add(n0,multiply(X2,add(n0,n1))) = add(n0,multiply(X2,n1)),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
add(n0,multiply(X2,add(n0,n1))) = X2,
inference(transitivity,[status(thm)],[c151,c36]) ).
cnf(c153,plain,
add(n0,multiply(X2,add(n1,n0))) = X2,
inference(transitivity,[status(thm)],[c149,c152]) ).
cnf(c154,plain,
add(n0,multiply(n1,X2)) = X2,
inference(transitivity,[status(thm)],[c146,c153]) ).
cnf(c155,plain,
add(n0,multiply(n1,inverse(n1))) = inverse(n1),
inference(substitution,[status(thm)],[c154]) ).
cnf(c156,plain,
inverse(n1) = add(n0,multiply(n1,inverse(n1))),
inference(symmetry,[status(thm)],[c155]) ).
cnf(c157,plain,
multiply(n1,inverse(n1)) = n0,
inference(substitution,[status(thm)],[c2]) ).
cnf(c158,plain,
add(n0,multiply(n1,inverse(n1))) = add(n0,n0),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
n1 = add(n0,n1),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c160,plain,
multiply(n1,n1) = multiply(n1,add(n0,n1)),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
add(n1,n0) = add(n0,n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c162,plain,
add(n0,n1) = add(n1,n0),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
multiply(n1,add(n0,n1)) = multiply(n1,add(n1,n0)),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
multiply(n1,add(n1,n0)) = n1,
inference(substitution,[status(thm)],[c16]) ).
cnf(c165,plain,
multiply(n1,add(n0,n1)) = n1,
inference(transitivity,[status(thm)],[c163,c164]) ).
cnf(c166,plain,
multiply(n1,n1) = n1,
inference(transitivity,[status(thm)],[c160,c165]) ).
cnf(c167,plain,
n1 = multiply(n1,n1),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
multiply(n0,n1) = multiply(n0,multiply(n1,n1)),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
n1 = add(n1,n0),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c170,plain,
multiply(n1,n1) = multiply(n1,add(n1,n0)),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
multiply(n0,multiply(n1,n1)) = multiply(n0,multiply(n1,add(n1,n0))),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
add(multiply(X3,n1),multiply(n0,multiply(X2,n1))) = multiply(X3,add(multiply(X2,n1),multiply(X3,n1))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c173,plain,
multiply(n1,add(X2,X3)) = add(multiply(X2,n1),multiply(X3,n1)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c174,plain,
add(multiply(X2,n1),multiply(X3,n1)) = multiply(n1,add(X2,X3)),
inference(symmetry,[status(thm)],[c173]) ).
cnf(c175,plain,
multiply(X3,add(multiply(X2,n1),multiply(X3,n1))) = multiply(X3,multiply(n1,add(X2,X3))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
add(multiply(X3,n1),multiply(n0,multiply(X2,n1))) = multiply(X3,multiply(n1,add(X2,X3))),
inference(transitivity,[status(thm)],[c172,c175]) ).
cnf(c177,plain,
add(multiply(n0,n1),multiply(n0,multiply(n1,n1))) = multiply(n0,multiply(n1,add(n1,n0))),
inference(substitution,[status(thm)],[c176]) ).
cnf(c178,plain,
multiply(n0,multiply(n1,add(n1,n0))) = add(multiply(n0,n1),multiply(n0,multiply(n1,n1))),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
multiply(n0,multiply(n1,n1)) = multiply(n0,n1),
inference(congruence,[status(thm)],[c166]) ).
cnf(c180,plain,
add(multiply(n0,n1),multiply(n0,multiply(n1,n1))) = add(multiply(n0,n1),multiply(n0,n1)),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
multiply(n1,add(n0,n0)) = add(multiply(n0,n1),multiply(n0,n1)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c182,plain,
add(multiply(n0,n1),multiply(n0,n1)) = multiply(n1,add(n0,n0)),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
multiply(n1,add(n0,n0)) = n0,
inference(substitution,[status(thm)],[c16]) ).
cnf(c184,plain,
add(multiply(n0,n1),multiply(n0,n1)) = n0,
inference(transitivity,[status(thm)],[c182,c183]) ).
cnf(c185,plain,
add(multiply(n0,n1),multiply(n0,multiply(n1,n1))) = n0,
inference(transitivity,[status(thm)],[c180,c184]) ).
cnf(c186,plain,
multiply(n0,multiply(n1,add(n1,n0))) = n0,
inference(transitivity,[status(thm)],[c178,c185]) ).
cnf(c187,plain,
multiply(n0,multiply(n1,n1)) = n0,
inference(transitivity,[status(thm)],[c171,c186]) ).
cnf(c188,plain,
multiply(n0,n1) = n0,
inference(transitivity,[status(thm)],[c168,c187]) ).
cnf(c189,plain,
n0 = multiply(n0,n1),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c190,plain,
add(n0,n0) = add(n0,multiply(n0,n1)),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
add(n0,multiply(n0,n1)) = n0,
inference(substitution,[status(thm)],[c36]) ).
cnf(c192,plain,
add(n0,n0) = n0,
inference(transitivity,[status(thm)],[c190,c191]) ).
cnf(c193,plain,
add(n0,multiply(n1,inverse(n1))) = n0,
inference(transitivity,[status(thm)],[c158,c192]) ).
cnf(c194,plain,
inverse(n1) = n0,
inference(transitivity,[status(thm)],[c156,c193]) ).
cnf(c195,plain,
n0 = inverse(n1),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
add(inverse(n0),n0) = add(inverse(n0),inverse(n1)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
multiply(n1,add(inverse(n0),n0)) = multiply(n1,add(inverse(n0),inverse(n1))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
add(inverse(X3),multiply(X3,X2)) = multiply(add(X3,inverse(X3)),add(X2,inverse(X3))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c199,plain,
multiply(add(X3,inverse(X3)),add(X2,inverse(X3))) = multiply(n1,add(X2,inverse(X3))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c200,plain,
add(inverse(X3),multiply(X3,X2)) = multiply(n1,add(X2,inverse(X3))),
inference(transitivity,[status(thm)],[c198,c199]) ).
cnf(c201,plain,
add(inverse(n1),multiply(n1,inverse(n0))) = multiply(n1,add(inverse(n0),inverse(n1))),
inference(substitution,[status(thm)],[c200]) ).
cnf(c202,plain,
multiply(n1,add(inverse(n0),inverse(n1))) = add(inverse(n1),multiply(n1,inverse(n0))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
add(n0,multiply(n1,inverse(n0))) = inverse(n0),
inference(substitution,[status(thm)],[c154]) ).
cnf(c204,plain,
inverse(n0) = add(n0,multiply(n1,inverse(n0))),
inference(symmetry,[status(thm)],[c203]) ).
cnf(c205,plain,
multiply(n1,inverse(n0)) = multiply(n1,add(n0,multiply(n1,inverse(n0)))),
inference(congruence,[status(thm)],[c204]) ).
cnf(c206,plain,
add(n1,inverse(n0)) = add(inverse(n0),n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c207,plain,
n1 = multiply(n1,n1),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c208,plain,
add(inverse(n0),n1) = add(inverse(n0),multiply(n1,n1)),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
add(n0,multiply(n1,add(inverse(n0),multiply(n1,n1)))) = add(inverse(n0),multiply(n1,n1)),
inference(substitution,[status(thm)],[c154]) ).
cnf(c210,plain,
add(inverse(n0),multiply(n1,n1)) = add(n0,multiply(n1,add(inverse(n0),multiply(n1,n1)))),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
add(multiply(X2,n1),multiply(n0,inverse(n0))) = multiply(X2,add(inverse(n0),multiply(X2,n1))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c212,plain,
multiply(X2,add(inverse(n0),multiply(X2,n1))) = add(multiply(X2,n1),multiply(n0,inverse(n0))),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
multiply(n0,inverse(n0)) = n0,
inference(substitution,[status(thm)],[c2]) ).
cnf(c214,plain,
add(multiply(X2,n1),multiply(n0,inverse(n0))) = add(multiply(X2,n1),n0),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
multiply(X2,add(inverse(n0),multiply(X2,n1))) = add(multiply(X2,n1),n0),
inference(transitivity,[status(thm)],[c212,c214]) ).
cnf(c216,plain,
multiply(n1,add(inverse(n0),multiply(n1,n1))) = add(multiply(n1,n1),n0),
inference(substitution,[status(thm)],[c215]) ).
cnf(c217,plain,
add(n0,multiply(n1,add(inverse(n0),multiply(n1,n1)))) = add(n0,add(multiply(n1,n1),n0)),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
add(multiply(n1,n1),n0) = add(n1,n0),
inference(congruence,[status(thm)],[c166]) ).
cnf(c219,plain,
add(n0,add(multiply(n1,n1),n0)) = add(n0,add(n1,n0)),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
add(n0,add(n1,n0)) = add(n0,n1),
inference(congruence,[status(thm)],[c125]) ).
cnf(c221,plain,
add(n0,add(n1,n0)) = n1,
inference(transitivity,[status(thm)],[c220,c81]) ).
cnf(c222,plain,
add(n0,add(multiply(n1,n1),n0)) = n1,
inference(transitivity,[status(thm)],[c219,c221]) ).
cnf(c223,plain,
add(n0,multiply(n1,add(inverse(n0),multiply(n1,n1)))) = n1,
inference(transitivity,[status(thm)],[c217,c222]) ).
cnf(c224,plain,
add(inverse(n0),multiply(n1,n1)) = n1,
inference(transitivity,[status(thm)],[c210,c223]) ).
cnf(c225,plain,
add(inverse(n0),n1) = n1,
inference(transitivity,[status(thm)],[c208,c224]) ).
cnf(c226,plain,
add(n1,inverse(n0)) = n1,
inference(transitivity,[status(thm)],[c206,c225]) ).
cnf(c227,plain,
n1 = add(n1,inverse(n0)),
inference(symmetry,[status(thm)],[c226]) ).
cnf(c228,plain,
multiply(n1,add(n0,multiply(n1,inverse(n0)))) = multiply(add(n1,inverse(n0)),add(n0,multiply(n1,inverse(n0)))),
inference(congruence,[status(thm)],[c227]) ).
cnf(c229,plain,
add(X2,multiply(X3,inverse(X2))) = multiply(add(X3,X2),add(inverse(X2),X2)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c230,plain,
multiply(add(X3,inverse(X2)),add(X2,multiply(X3,inverse(X2)))) = multiply(add(X3,inverse(X2)),multiply(add(X3,X2),add(inverse(X2),X2))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,axiom,
multiply(add(X2,inverse(Y2)),multiply(add(X2,Y2),add(inverse(Y2),Y2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley2_dual) ).
cnf(c232,plain,
multiply(add(X3,inverse(X2)),multiply(add(X3,X2),add(inverse(X2),X2))) = X3,
inference(substitution,[status(thm)],[c231]) ).
cnf(c233,plain,
multiply(add(X3,inverse(X2)),add(X2,multiply(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c230,c232]) ).
cnf(c234,plain,
multiply(add(n1,inverse(n0)),add(n0,multiply(n1,inverse(n0)))) = n1,
inference(substitution,[status(thm)],[c233]) ).
cnf(c235,plain,
multiply(n1,add(n0,multiply(n1,inverse(n0)))) = n1,
inference(transitivity,[status(thm)],[c228,c234]) ).
cnf(c236,plain,
multiply(n1,inverse(n0)) = n1,
inference(transitivity,[status(thm)],[c205,c235]) ).
cnf(c237,plain,
add(inverse(n1),multiply(n1,inverse(n0))) = add(inverse(n1),n1),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
add(inverse(n1),n1) = add(n0,n1),
inference(congruence,[status(thm)],[c194]) ).
cnf(c239,plain,
add(inverse(n1),n1) = n1,
inference(transitivity,[status(thm)],[c238,c81]) ).
cnf(c240,plain,
add(inverse(n1),multiply(n1,inverse(n0))) = n1,
inference(transitivity,[status(thm)],[c237,c239]) ).
cnf(c241,plain,
multiply(n1,add(inverse(n0),inverse(n1))) = n1,
inference(transitivity,[status(thm)],[c202,c240]) ).
cnf(c242,plain,
multiply(n1,add(inverse(n0),n0)) = n1,
inference(transitivity,[status(thm)],[c197,c241]) ).
cnf(c243,plain,
inverse(n0) = n1,
inference(transitivity,[status(thm)],[c137,c242]) ).
cnf(c244,plain,
n1 = inverse(n0),
inference(symmetry,[status(thm)],[c243]) ).
cnf(c245,plain,
multiply(n1,add(X2,n0)) = multiply(inverse(n0),add(X2,n0)),
inference(congruence,[status(thm)],[c244]) ).
cnf(c246,plain,
multiply(n1,multiply(n1,add(X2,n0))) = multiply(n1,multiply(inverse(n0),add(X2,n0))),
inference(congruence,[status(thm)],[c245]) ).
cnf(c247,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c248,plain,
add(multiply(X2,inverse(X3)),n0) = add(multiply(X2,inverse(X3)),multiply(X3,inverse(X3))),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
multiply(inverse(X3),add(X2,X3)) = add(multiply(X2,inverse(X3)),multiply(X3,inverse(X3))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c250,plain,
add(multiply(X2,inverse(X3)),multiply(X3,inverse(X3))) = multiply(inverse(X3),add(X2,X3)),
inference(symmetry,[status(thm)],[c249]) ).
cnf(c251,plain,
add(multiply(X2,inverse(X3)),n0) = multiply(inverse(X3),add(X2,X3)),
inference(transitivity,[status(thm)],[c248,c250]) ).
cnf(c252,plain,
multiply(inverse(X3),add(X2,X3)) = add(multiply(X2,inverse(X3)),n0),
inference(symmetry,[status(thm)],[c251]) ).
cnf(c253,plain,
multiply(n1,multiply(inverse(X3),add(X2,X3))) = multiply(n1,add(multiply(X2,inverse(X3)),n0)),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
multiply(n1,add(multiply(X2,inverse(X3)),n0)) = multiply(X2,inverse(X3)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c255,plain,
multiply(n1,multiply(inverse(X3),add(X2,X3))) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c253,c254]) ).
cnf(c256,plain,
multiply(n1,multiply(inverse(n0),add(X2,n0))) = multiply(X2,inverse(n0)),
inference(substitution,[status(thm)],[c255]) ).
cnf(c257,plain,
multiply(X2,inverse(n0)) = multiply(X2,n1),
inference(congruence,[status(thm)],[c243]) ).
cnf(c258,plain,
multiply(n1,multiply(inverse(n0),add(X2,n0))) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c256,c257]) ).
cnf(c259,plain,
multiply(n1,multiply(n1,add(X2,n0))) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c246,c258]) ).
cnf(c260,plain,
multiply(n1,X2) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c135,c259]) ).
cnf(c261,plain,
multiply(n1,add(X2,n0)) = multiply(add(X2,n0),n1),
inference(substitution,[status(thm)],[c260]) ).
cnf(c262,plain,
multiply(add(X2,n0),n1) = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c261]) ).
cnf(c263,plain,
add(X2,multiply(add(X2,n0),n1)) = add(X2,multiply(n1,add(X2,n0))),
inference(congruence,[status(thm)],[c262]) ).
cnf(c264,plain,
add(X2,multiply(n1,add(X2,n0))) = multiply(add(X2,n0),add(n1,n1)),
inference(substitution,[status(thm)],[c45]) ).
cnf(c265,plain,
add(n1,n1) = add(n1,n0),
inference(symmetry,[status(thm)],[c104]) ).
cnf(c266,plain,
add(n1,n0) = add(n0,n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c267,plain,
add(n1,n0) = n1,
inference(transitivity,[status(thm)],[c266,c81]) ).
cnf(c268,plain,
add(n1,n1) = n1,
inference(transitivity,[status(thm)],[c265,c267]) ).
cnf(c269,plain,
multiply(add(X2,n0),add(n1,n1)) = multiply(add(X2,n0),n1),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
multiply(add(X2,n0),add(n1,n1)) = X2,
inference(transitivity,[status(thm)],[c269,c131]) ).
cnf(c271,plain,
add(X2,multiply(n1,add(X2,n0))) = X2,
inference(transitivity,[status(thm)],[c264,c270]) ).
cnf(c272,plain,
add(X2,multiply(add(X2,n0),n1)) = X2,
inference(transitivity,[status(thm)],[c263,c271]) ).
cnf(c273,plain,
add(X2,X2) = X2,
inference(transitivity,[status(thm)],[c133,c272]) ).
cnf(c274,plain,
X2 = add(X2,X2),
inference(symmetry,[status(thm)],[c273]) ).
cnf(c275,plain,
multiply(X2,X3) = multiply(X2,add(X3,X3)),
inference(congruence,[status(thm)],[c274]) ).
cnf(c276,plain,
multiply(X2,add(X3,X3)) = add(multiply(X3,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c277,plain,
add(multiply(X3,X2),multiply(X3,X2)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c273]) ).
cnf(c278,plain,
multiply(X2,add(X3,X3)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c276,c277]) ).
cnf(c279,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c275,c278]) ).
cnf(c280,plain,
multiply(b,add(a,b)) = multiply(add(a,b),b),
inference(substitution,[status(thm)],[c279]) ).
cnf(c281,plain,
multiply(add(a,b),b) = multiply(b,add(a,b)),
inference(symmetry,[status(thm)],[c280]) ).
cnf(c282,plain,
add(inverse(inverse(X2)),inverse(inverse(X2))) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c273]) ).
cnf(c283,plain,
inverse(inverse(X2)) = add(inverse(inverse(X2)),inverse(inverse(X2))),
inference(symmetry,[status(thm)],[c282]) ).
cnf(c284,plain,
add(multiply(X2,inverse(inverse(X2))),n0) = multiply(inverse(inverse(X2)),add(X2,inverse(X2))),
inference(substitution,[status(thm)],[c251]) ).
cnf(c285,plain,
multiply(inverse(inverse(X2)),add(X2,inverse(X2))) = multiply(inverse(inverse(X2)),n1),
inference(congruence,[status(thm)],[c9]) ).
cnf(c286,plain,
add(multiply(X2,inverse(inverse(X2))),n0) = multiply(inverse(inverse(X2)),n1),
inference(transitivity,[status(thm)],[c284,c285]) ).
cnf(c287,plain,
multiply(inverse(inverse(X2)),n1) = add(multiply(X2,inverse(inverse(X2))),n0),
inference(symmetry,[status(thm)],[c286]) ).
cnf(c288,plain,
multiply(n1,multiply(inverse(inverse(X2)),n1)) = multiply(n1,add(multiply(X2,inverse(inverse(X2))),n0)),
inference(congruence,[status(thm)],[c287]) ).
cnf(c289,plain,
multiply(n1,add(multiply(X2,inverse(inverse(X2))),n0)) = multiply(X2,inverse(inverse(X2))),
inference(substitution,[status(thm)],[c16]) ).
cnf(c290,plain,
multiply(n1,multiply(inverse(inverse(X2)),n1)) = multiply(X2,inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c288,c289]) ).
cnf(c291,plain,
multiply(X2,inverse(inverse(X2))) = multiply(n1,multiply(inverse(inverse(X2)),n1)),
inference(symmetry,[status(thm)],[c290]) ).
cnf(c292,plain,
multiply(n1,multiply(X2,n1)) = multiply(multiply(X2,n1),n1),
inference(substitution,[status(thm)],[c260]) ).
cnf(c293,plain,
n0 = add(n0,n0),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c294,plain,
add(X2,n0) = add(X2,add(n0,n0)),
inference(congruence,[status(thm)],[c293]) ).
cnf(c295,plain,
X2 = add(X2,X2),
inference(symmetry,[status(thm)],[c273]) ).
cnf(c296,plain,
add(X2,add(n0,n0)) = add(add(X2,X2),add(n0,n0)),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
X2 = multiply(n1,add(X2,n0)),
inference(symmetry,[status(thm)],[c16]) ).
cnf(c298,plain,
add(n0,X2) = add(n0,multiply(n1,add(X2,n0))),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
add(n0,multiply(n1,add(X2,n0))) = add(X2,n0),
inference(substitution,[status(thm)],[c154]) ).
cnf(c300,plain,
add(n0,X2) = add(X2,n0),
inference(transitivity,[status(thm)],[c298,c299]) ).
cnf(c301,plain,
multiply(n1,add(n0,X2)) = multiply(n1,add(X2,n0)),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
multiply(n1,add(n0,X2)) = X2,
inference(transitivity,[status(thm)],[c301,c16]) ).
cnf(c303,plain,
multiply(n1,add(n0,multiply(X2,X2))) = multiply(X2,X2),
inference(substitution,[status(thm)],[c302]) ).
cnf(c304,plain,
multiply(X2,X2) = multiply(n1,add(n0,multiply(X2,X2))),
inference(symmetry,[status(thm)],[c303]) ).
cnf(c305,plain,
add(multiply(X2,n1),multiply(n0,n0)) = multiply(X2,add(n0,multiply(X2,n1))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c306,plain,
multiply(X2,add(n0,multiply(X2,n1))) = multiply(X2,X2),
inference(congruence,[status(thm)],[c36]) ).
cnf(c307,plain,
add(multiply(X2,n1),multiply(n0,n0)) = multiply(X2,X2),
inference(transitivity,[status(thm)],[c305,c306]) ).
cnf(c308,plain,
add(multiply(add(X2,X3),n1),multiply(n0,n0)) = multiply(add(X2,X3),add(X2,X3)),
inference(substitution,[status(thm)],[c307]) ).
cnf(c309,plain,
add(X3,multiply(X2,X2)) = multiply(add(X2,X3),add(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c310,plain,
multiply(add(X2,X3),add(X2,X3)) = add(X3,multiply(X2,X2)),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
add(multiply(add(X2,X3),n1),multiply(n0,n0)) = add(X3,multiply(X2,X2)),
inference(transitivity,[status(thm)],[c308,c310]) ).
cnf(c312,plain,
add(multiply(add(X2,n0),n1),multiply(n0,n0)) = add(n0,multiply(X2,X2)),
inference(substitution,[status(thm)],[c311]) ).
cnf(c313,plain,
add(n0,multiply(X2,X2)) = add(multiply(add(X2,n0),n1),multiply(n0,n0)),
inference(symmetry,[status(thm)],[c312]) ).
cnf(c314,plain,
multiply(n1,add(n0,multiply(X2,X2))) = multiply(n1,add(multiply(add(X2,n0),n1),multiply(n0,n0))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
add(multiply(add(X2,n0),n1),multiply(n0,n0)) = add(X2,multiply(n0,n0)),
inference(congruence,[status(thm)],[c131]) ).
cnf(c316,plain,
multiply(n1,add(multiply(add(X2,n0),n1),multiply(n0,n0))) = multiply(n1,add(X2,multiply(n0,n0))),
inference(congruence,[status(thm)],[c315]) ).
cnf(c317,plain,
n0 = multiply(n0,n1),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c318,plain,
multiply(n0,n0) = multiply(n0,multiply(n0,n1)),
inference(congruence,[status(thm)],[c317]) ).
cnf(c319,plain,
n1 = add(n1,n0),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c320,plain,
multiply(n0,n1) = multiply(n0,add(n1,n0)),
inference(congruence,[status(thm)],[c319]) ).
cnf(c321,plain,
multiply(n0,multiply(n0,n1)) = multiply(n0,multiply(n0,add(n1,n0))),
inference(congruence,[status(thm)],[c320]) ).
cnf(c322,plain,
n0 = inverse(n1),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c323,plain,
multiply(n0,add(n1,n0)) = multiply(inverse(n1),add(n1,n0)),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
multiply(n0,multiply(n0,add(n1,n0))) = multiply(n0,multiply(inverse(n1),add(n1,n0))),
inference(congruence,[status(thm)],[c323]) ).
cnf(c325,plain,
n0 = add(n0,n0),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c326,plain,
multiply(n0,multiply(inverse(n1),add(n1,n0))) = multiply(add(n0,n0),multiply(inverse(n1),add(n1,n0))),
inference(congruence,[status(thm)],[c325]) ).
cnf(c327,plain,
n0 = inverse(n1),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c328,plain,
add(n0,n0) = add(n0,inverse(n1)),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
multiply(add(n0,n0),multiply(inverse(n1),add(n1,n0))) = multiply(add(n0,inverse(n1)),multiply(inverse(n1),add(n1,n0))),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c2]) ).
cnf(c331,plain,
add(n0,multiply(X2,inverse(X3))) = add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))),
inference(congruence,[status(thm)],[c330]) ).
cnf(c332,plain,
multiply(inverse(X3),add(X3,X2)) = add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c333,plain,
add(multiply(X3,inverse(X3)),multiply(X2,inverse(X3))) = multiply(inverse(X3),add(X3,X2)),
inference(symmetry,[status(thm)],[c332]) ).
cnf(c334,plain,
add(n0,multiply(X2,inverse(X3))) = multiply(inverse(X3),add(X3,X2)),
inference(transitivity,[status(thm)],[c331,c333]) ).
cnf(c335,plain,
add(n0,multiply(n0,inverse(X2))) = multiply(inverse(X2),add(X2,n0)),
inference(substitution,[status(thm)],[c334]) ).
cnf(c336,plain,
multiply(inverse(X2),add(X2,n0)) = add(n0,multiply(n0,inverse(X2))),
inference(symmetry,[status(thm)],[c335]) ).
cnf(c337,plain,
multiply(add(n0,inverse(X2)),multiply(inverse(X2),add(X2,n0))) = multiply(add(n0,inverse(X2)),add(n0,multiply(n0,inverse(X2)))),
inference(congruence,[status(thm)],[c336]) ).
cnf(c338,plain,
add(X3,multiply(X3,inverse(X2))) = multiply(add(X3,X3),add(inverse(X2),X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c339,plain,
multiply(add(X3,inverse(X2)),add(X3,multiply(X3,inverse(X2)))) = multiply(add(X3,inverse(X2)),multiply(add(X3,X3),add(inverse(X2),X3))),
inference(congruence,[status(thm)],[c338]) ).
cnf(c340,axiom,
multiply(add(X2,inverse(Y2)),multiply(add(X2,X2),add(inverse(Y2),X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3_dual) ).
cnf(c341,plain,
multiply(add(X3,inverse(X2)),multiply(add(X3,X3),add(inverse(X2),X3))) = X3,
inference(substitution,[status(thm)],[c340]) ).
cnf(c342,plain,
multiply(add(X3,inverse(X2)),add(X3,multiply(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c339,c341]) ).
cnf(c343,plain,
multiply(add(n0,inverse(X2)),add(n0,multiply(n0,inverse(X2)))) = n0,
inference(substitution,[status(thm)],[c342]) ).
cnf(c344,plain,
multiply(add(n0,inverse(X2)),multiply(inverse(X2),add(X2,n0))) = n0,
inference(transitivity,[status(thm)],[c337,c343]) ).
cnf(c345,plain,
multiply(add(n0,inverse(n1)),multiply(inverse(n1),add(n1,n0))) = n0,
inference(substitution,[status(thm)],[c344]) ).
cnf(c346,plain,
multiply(add(n0,n0),multiply(inverse(n1),add(n1,n0))) = n0,
inference(transitivity,[status(thm)],[c329,c345]) ).
cnf(c347,plain,
multiply(n0,multiply(inverse(n1),add(n1,n0))) = n0,
inference(transitivity,[status(thm)],[c326,c346]) ).
cnf(c348,plain,
multiply(n0,multiply(n0,add(n1,n0))) = n0,
inference(transitivity,[status(thm)],[c324,c347]) ).
cnf(c349,plain,
multiply(n0,multiply(n0,n1)) = n0,
inference(transitivity,[status(thm)],[c321,c348]) ).
cnf(c350,plain,
multiply(n0,n0) = n0,
inference(transitivity,[status(thm)],[c318,c349]) ).
cnf(c351,plain,
add(X2,multiply(n0,n0)) = add(X2,n0),
inference(congruence,[status(thm)],[c350]) ).
cnf(c352,plain,
multiply(n1,add(X2,multiply(n0,n0))) = multiply(n1,add(X2,n0)),
inference(congruence,[status(thm)],[c351]) ).
cnf(c353,plain,
multiply(n1,add(X2,multiply(n0,n0))) = X2,
inference(transitivity,[status(thm)],[c352,c16]) ).
cnf(c354,plain,
multiply(n1,add(multiply(add(X2,n0),n1),multiply(n0,n0))) = X2,
inference(transitivity,[status(thm)],[c316,c353]) ).
cnf(c355,plain,
multiply(n1,add(n0,multiply(X2,X2))) = X2,
inference(transitivity,[status(thm)],[c314,c354]) ).
cnf(c356,plain,
multiply(X2,X2) = X2,
inference(transitivity,[status(thm)],[c304,c355]) ).
cnf(c357,plain,
multiply(add(X2,X2),add(X2,X2)) = add(X2,X2),
inference(substitution,[status(thm)],[c356]) ).
cnf(c358,plain,
add(X2,X2) = multiply(add(X2,X2),add(X2,X2)),
inference(symmetry,[status(thm)],[c357]) ).
cnf(c359,plain,
add(add(X2,X2),add(n0,n0)) = add(multiply(add(X2,X2),add(X2,X2)),add(n0,n0)),
inference(congruence,[status(thm)],[c358]) ).
cnf(c360,plain,
add(n0,multiply(X2,inverse(X2))) = multiply(inverse(X2),add(X2,X2)),
inference(substitution,[status(thm)],[c334]) ).
cnf(c361,plain,
multiply(inverse(X2),add(X2,X2)) = add(n0,multiply(X2,inverse(X2))),
inference(symmetry,[status(thm)],[c360]) ).
cnf(c362,plain,
add(n0,multiply(X2,inverse(X2))) = add(n0,n0),
inference(congruence,[status(thm)],[c2]) ).
cnf(c363,plain,
multiply(inverse(X2),add(X2,X2)) = add(n0,n0),
inference(transitivity,[status(thm)],[c361,c362]) ).
cnf(c364,plain,
add(n0,n0) = multiply(inverse(X2),add(X2,X2)),
inference(symmetry,[status(thm)],[c363]) ).
cnf(c365,plain,
add(multiply(X2,add(X3,X3)),add(n0,n0)) = add(multiply(X2,add(X3,X3)),multiply(inverse(X3),add(X3,X3))),
inference(congruence,[status(thm)],[c364]) ).
cnf(c366,plain,
multiply(add(X3,X3),add(X2,inverse(X3))) = add(multiply(X2,add(X3,X3)),multiply(inverse(X3),add(X3,X3))),
inference(substitution,[status(thm)],[c22]) ).
cnf(c367,plain,
add(multiply(X2,add(X3,X3)),multiply(inverse(X3),add(X3,X3))) = multiply(add(X3,X3),add(X2,inverse(X3))),
inference(symmetry,[status(thm)],[c366]) ).
cnf(c368,plain,
add(multiply(X2,add(X3,X3)),add(n0,n0)) = multiply(add(X3,X3),add(X2,inverse(X3))),
inference(transitivity,[status(thm)],[c365,c367]) ).
cnf(c369,plain,
add(multiply(add(X2,X2),add(X2,X2)),add(n0,n0)) = multiply(add(X2,X2),add(add(X2,X2),inverse(X2))),
inference(substitution,[status(thm)],[c368]) ).
cnf(c370,plain,
multiply(add(X2,X2),add(add(X2,X2),inverse(X2))) = multiply(X2,add(add(X2,X2),inverse(X2))),
inference(congruence,[status(thm)],[c273]) ).
cnf(c371,plain,
add(add(X2,X2),inverse(X2)) = add(X2,inverse(X2)),
inference(congruence,[status(thm)],[c273]) ).
cnf(c372,plain,
multiply(X2,add(add(X2,X2),inverse(X2))) = multiply(X2,add(X2,inverse(X2))),
inference(congruence,[status(thm)],[c371]) ).
cnf(c373,plain,
multiply(X2,add(X2,inverse(X2))) = multiply(X2,n1),
inference(congruence,[status(thm)],[c9]) ).
cnf(c374,plain,
multiply(X2,add(add(X2,X2),inverse(X2))) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c372,c373]) ).
cnf(c375,plain,
multiply(add(X2,X2),add(add(X2,X2),inverse(X2))) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c370,c374]) ).
cnf(c376,plain,
add(multiply(add(X2,X2),add(X2,X2)),add(n0,n0)) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c369,c375]) ).
cnf(c377,plain,
add(add(X2,X2),add(n0,n0)) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c359,c376]) ).
cnf(c378,plain,
add(X2,add(n0,n0)) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c296,c377]) ).
cnf(c379,plain,
add(X2,n0) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c294,c378]) ).
cnf(c380,plain,
add(multiply(X2,n1),n0) = multiply(multiply(X2,n1),n1),
inference(substitution,[status(thm)],[c379]) ).
cnf(c381,plain,
multiply(multiply(X2,n1),n1) = add(multiply(X2,n1),n0),
inference(symmetry,[status(thm)],[c380]) ).
cnf(c382,plain,
add(n0,multiply(X2,n1)) = add(multiply(X2,n1),n0),
inference(substitution,[status(thm)],[c300]) ).
cnf(c383,plain,
add(multiply(X2,n1),n0) = add(n0,multiply(X2,n1)),
inference(symmetry,[status(thm)],[c382]) ).
cnf(c384,plain,
add(multiply(X2,n1),n0) = X2,
inference(transitivity,[status(thm)],[c383,c36]) ).
cnf(c385,plain,
multiply(multiply(X2,n1),n1) = X2,
inference(transitivity,[status(thm)],[c381,c384]) ).
cnf(c386,plain,
multiply(n1,multiply(X2,n1)) = X2,
inference(transitivity,[status(thm)],[c292,c385]) ).
cnf(c387,plain,
multiply(n1,multiply(inverse(inverse(X2)),n1)) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c386]) ).
cnf(c388,plain,
multiply(X2,inverse(inverse(X2))) = inverse(inverse(X2)),
inference(transitivity,[status(thm)],[c291,c387]) ).
cnf(c389,plain,
inverse(inverse(X2)) = multiply(X2,inverse(inverse(X2))),
inference(symmetry,[status(thm)],[c388]) ).
cnf(c390,plain,
add(inverse(inverse(X2)),inverse(inverse(X2))) = add(inverse(inverse(X2)),multiply(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c389]) ).
cnf(c391,plain,
multiply(n1,multiply(add(X2,inverse(inverse(X2))),n1)) = add(X2,inverse(inverse(X2))),
inference(substitution,[status(thm)],[c386]) ).
cnf(c392,plain,
add(X2,inverse(inverse(X2))) = multiply(n1,multiply(add(X2,inverse(inverse(X2))),n1)),
inference(symmetry,[status(thm)],[c391]) ).
cnf(c393,plain,
add(inverse(X3),multiply(X2,X3)) = multiply(add(X2,inverse(X3)),add(X3,inverse(X3))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c394,plain,
multiply(add(X2,inverse(X3)),add(X3,inverse(X3))) = multiply(add(X2,inverse(X3)),n1),
inference(congruence,[status(thm)],[c9]) ).
cnf(c395,plain,
add(inverse(X3),multiply(X2,X3)) = multiply(add(X2,inverse(X3)),n1),
inference(transitivity,[status(thm)],[c393,c394]) ).
cnf(c396,plain,
add(inverse(inverse(X2)),multiply(X2,inverse(X2))) = multiply(add(X2,inverse(inverse(X2))),n1),
inference(substitution,[status(thm)],[c395]) ).
cnf(c397,plain,
multiply(add(X2,inverse(inverse(X2))),n1) = add(inverse(inverse(X2)),multiply(X2,inverse(X2))),
inference(symmetry,[status(thm)],[c396]) ).
cnf(c398,plain,
add(inverse(inverse(X2)),multiply(X2,inverse(X2))) = add(inverse(inverse(X2)),n0),
inference(congruence,[status(thm)],[c2]) ).
cnf(c399,plain,
multiply(add(X2,inverse(inverse(X2))),n1) = add(inverse(inverse(X2)),n0),
inference(transitivity,[status(thm)],[c397,c398]) ).
cnf(c400,plain,
multiply(n1,multiply(add(X2,inverse(inverse(X2))),n1)) = multiply(n1,add(inverse(inverse(X2)),n0)),
inference(congruence,[status(thm)],[c399]) ).
cnf(c401,plain,
multiply(n1,add(inverse(inverse(X2)),n0)) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c402,plain,
multiply(n1,multiply(add(X2,inverse(inverse(X2))),n1)) = inverse(inverse(X2)),
inference(transitivity,[status(thm)],[c400,c401]) ).
cnf(c403,plain,
add(X2,inverse(inverse(X2))) = inverse(inverse(X2)),
inference(transitivity,[status(thm)],[c392,c402]) ).
cnf(c404,plain,
inverse(inverse(X2)) = add(X2,inverse(inverse(X2))),
inference(symmetry,[status(thm)],[c403]) ).
cnf(c405,plain,
multiply(X2,inverse(inverse(X2))) = multiply(X2,add(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c404]) ).
cnf(c406,plain,
add(inverse(inverse(X2)),multiply(X2,inverse(inverse(X2)))) = add(inverse(inverse(X2)),multiply(X2,add(X2,inverse(inverse(X2))))),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
inverse(inverse(X2)) = multiply(X2,inverse(inverse(X2))),
inference(symmetry,[status(thm)],[c388]) ).
cnf(c408,plain,
add(inverse(inverse(X2)),multiply(X2,add(X2,inverse(inverse(X2))))) = add(multiply(X2,inverse(inverse(X2))),multiply(X2,add(X2,inverse(inverse(X2))))),
inference(congruence,[status(thm)],[c407]) ).
cnf(c409,plain,
multiply(X3,add(X3,inverse(X2))) = add(multiply(X3,X3),multiply(inverse(X2),X3)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c410,plain,
add(multiply(X3,inverse(X2)),multiply(X3,add(X3,inverse(X2)))) = add(multiply(X3,inverse(X2)),add(multiply(X3,X3),multiply(inverse(X2),X3))),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,axiom,
add(multiply(X2,inverse(Y2)),add(multiply(X2,X2),multiply(inverse(Y2),X2))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pixley3) ).
cnf(c412,plain,
add(multiply(X3,inverse(X2)),add(multiply(X3,X3),multiply(inverse(X2),X3))) = X3,
inference(substitution,[status(thm)],[c411]) ).
cnf(c413,plain,
add(multiply(X3,inverse(X2)),multiply(X3,add(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c410,c412]) ).
cnf(c414,plain,
add(multiply(X2,inverse(inverse(X2))),multiply(X2,add(X2,inverse(inverse(X2))))) = X2,
inference(substitution,[status(thm)],[c413]) ).
cnf(c415,plain,
add(inverse(inverse(X2)),multiply(X2,add(X2,inverse(inverse(X2))))) = X2,
inference(transitivity,[status(thm)],[c408,c414]) ).
cnf(c416,plain,
add(inverse(inverse(X2)),multiply(X2,inverse(inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c406,c415]) ).
cnf(c417,plain,
add(inverse(inverse(X2)),inverse(inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c390,c416]) ).
cnf(c418,plain,
inverse(inverse(X2)) = X2,
inference(transitivity,[status(thm)],[c283,c417]) ).
cnf(c419,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c420,plain,
multiply(n1,X2) = multiply(n1,inverse(inverse(X2))),
inference(congruence,[status(thm)],[c419]) ).
cnf(c421,plain,
multiply(n1,inverse(X2)) = multiply(inverse(X2),n1),
inference(substitution,[status(thm)],[c260]) ).
cnf(c422,plain,
add(inverse(X2),inverse(X2)) = inverse(X2),
inference(substitution,[status(thm)],[c273]) ).
cnf(c423,plain,
inverse(X2) = add(inverse(X2),inverse(X2)),
inference(symmetry,[status(thm)],[c422]) ).
cnf(c424,plain,
multiply(inverse(X2),n1) = multiply(add(inverse(X2),inverse(X2)),n1),
inference(congruence,[status(thm)],[c423]) ).
cnf(c425,plain,
add(inverse(X2),multiply(inverse(X2),X2)) = multiply(add(inverse(X2),inverse(X2)),n1),
inference(substitution,[status(thm)],[c395]) ).
cnf(c426,plain,
multiply(add(inverse(X2),inverse(X2)),n1) = add(inverse(X2),multiply(inverse(X2),X2)),
inference(symmetry,[status(thm)],[c425]) ).
cnf(c427,plain,
add(inverse(X2),multiply(inverse(X2),X2)) = multiply(add(inverse(X2),inverse(X2)),add(X2,inverse(X2))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c428,plain,
multiply(inverse(X2),inverse(X2)) = inverse(X2),
inference(substitution,[status(thm)],[c356]) ).
cnf(c429,plain,
inverse(X2) = multiply(inverse(X2),inverse(X2)),
inference(symmetry,[status(thm)],[c428]) ).
cnf(c430,plain,
add(X2,inverse(X2)) = add(X2,multiply(inverse(X2),inverse(X2))),
inference(congruence,[status(thm)],[c429]) ).
cnf(c431,plain,
multiply(add(inverse(X2),inverse(X2)),add(X2,inverse(X2))) = multiply(add(inverse(X2),inverse(X2)),add(X2,multiply(inverse(X2),inverse(X2)))),
inference(congruence,[status(thm)],[c430]) ).
cnf(c432,plain,
multiply(add(inverse(X2),inverse(X2)),add(X2,multiply(inverse(X2),inverse(X2)))) = inverse(X2),
inference(substitution,[status(thm)],[c233]) ).
cnf(c433,plain,
multiply(add(inverse(X2),inverse(X2)),add(X2,inverse(X2))) = inverse(X2),
inference(transitivity,[status(thm)],[c431,c432]) ).
cnf(c434,plain,
add(inverse(X2),multiply(inverse(X2),X2)) = inverse(X2),
inference(transitivity,[status(thm)],[c427,c433]) ).
cnf(c435,plain,
multiply(add(inverse(X2),inverse(X2)),n1) = inverse(X2),
inference(transitivity,[status(thm)],[c426,c434]) ).
cnf(c436,plain,
multiply(inverse(X2),n1) = inverse(X2),
inference(transitivity,[status(thm)],[c424,c435]) ).
cnf(c437,plain,
multiply(n1,inverse(X2)) = inverse(X2),
inference(transitivity,[status(thm)],[c421,c436]) ).
cnf(c438,plain,
multiply(n1,inverse(inverse(X2))) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c437]) ).
cnf(c439,plain,
multiply(n1,inverse(inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c438,c418]) ).
cnf(c440,plain,
multiply(n1,X2) = X2,
inference(transitivity,[status(thm)],[c420,c439]) ).
cnf(c441,plain,
multiply(n1,add(X2,X3)) = add(X2,X3),
inference(substitution,[status(thm)],[c440]) ).
cnf(c442,plain,
add(X2,X3) = multiply(n1,add(X2,X3)),
inference(symmetry,[status(thm)],[c441]) ).
cnf(c443,plain,
multiply(X3,add(X2,X3)) = multiply(X3,multiply(n1,add(X2,X3))),
inference(congruence,[status(thm)],[c442]) ).
cnf(c444,plain,
multiply(n1,add(X2,X3)) = add(multiply(X2,n1),multiply(X3,n1)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c445,plain,
multiply(X3,multiply(n1,add(X2,X3))) = multiply(X3,add(multiply(X2,n1),multiply(X3,n1))),
inference(congruence,[status(thm)],[c444]) ).
cnf(c446,plain,
n1 = inverse(n0),
inference(symmetry,[status(thm)],[c243]) ).
cnf(c447,plain,
multiply(X2,n1) = multiply(X2,inverse(n0)),
inference(congruence,[status(thm)],[c446]) ).
cnf(c448,plain,
add(multiply(X2,n1),multiply(X3,n1)) = add(multiply(X2,inverse(n0)),multiply(X3,n1)),
inference(congruence,[status(thm)],[c447]) ).
cnf(c449,plain,
multiply(X3,add(multiply(X2,n1),multiply(X3,n1))) = multiply(X3,add(multiply(X2,inverse(n0)),multiply(X3,n1))),
inference(congruence,[status(thm)],[c448]) ).
cnf(c450,plain,
add(multiply(X3,n1),multiply(n0,multiply(X2,inverse(n0)))) = multiply(X3,add(multiply(X2,inverse(n0)),multiply(X3,n1))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c451,plain,
multiply(X3,add(multiply(X2,inverse(n0)),multiply(X3,n1))) = add(multiply(X3,n1),multiply(n0,multiply(X2,inverse(n0)))),
inference(symmetry,[status(thm)],[c450]) ).
cnf(c452,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c453,plain,
multiply(X2,n1) = multiply(inverse(inverse(X2)),n1),
inference(congruence,[status(thm)],[c452]) ).
cnf(c454,plain,
add(inverse(inverse(X2)),n0) = multiply(inverse(inverse(X2)),n1),
inference(substitution,[status(thm)],[c379]) ).
cnf(c455,plain,
multiply(inverse(inverse(X2)),n1) = add(inverse(inverse(X2)),n0),
inference(symmetry,[status(thm)],[c454]) ).
cnf(c456,plain,
add(inverse(X2),multiply(X2,inverse(X2))) = multiply(n1,add(inverse(X2),inverse(X2))),
inference(substitution,[status(thm)],[c200]) ).
cnf(c457,plain,
multiply(n1,add(inverse(X2),inverse(X2))) = add(inverse(X2),multiply(X2,inverse(X2))),
inference(symmetry,[status(thm)],[c456]) ).
cnf(c458,plain,
add(inverse(X2),multiply(X2,inverse(X2))) = add(inverse(X2),n0),
inference(congruence,[status(thm)],[c2]) ).
cnf(c459,plain,
multiply(n1,add(inverse(X2),inverse(X2))) = add(inverse(X2),n0),
inference(transitivity,[status(thm)],[c457,c458]) ).
cnf(c460,plain,
multiply(n1,add(inverse(inverse(X2)),inverse(inverse(X2)))) = add(inverse(inverse(X2)),n0),
inference(substitution,[status(thm)],[c459]) ).
cnf(c461,plain,
add(inverse(inverse(X2)),n0) = multiply(n1,add(inverse(inverse(X2)),inverse(inverse(X2)))),
inference(symmetry,[status(thm)],[c460]) ).
cnf(c462,plain,
add(inverse(inverse(X2)),inverse(inverse(X2))) = add(X2,inverse(inverse(X2))),
inference(congruence,[status(thm)],[c418]) ).
cnf(c463,plain,
multiply(n1,add(inverse(inverse(X2)),inverse(inverse(X2)))) = multiply(n1,add(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c462]) ).
cnf(c464,plain,
multiply(n1,add(X2,inverse(inverse(X2)))) = multiply(n1,inverse(inverse(X2))),
inference(congruence,[status(thm)],[c403]) ).
cnf(c465,plain,
multiply(n1,inverse(inverse(X2))) = inverse(inverse(X2)),
inference(substitution,[status(thm)],[c437]) ).
cnf(c466,plain,
multiply(n1,inverse(inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c465,c418]) ).
cnf(c467,plain,
multiply(n1,add(X2,inverse(inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c464,c466]) ).
cnf(c468,plain,
multiply(n1,add(inverse(inverse(X2)),inverse(inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c463,c467]) ).
cnf(c469,plain,
add(inverse(inverse(X2)),n0) = X2,
inference(transitivity,[status(thm)],[c461,c468]) ).
cnf(c470,plain,
multiply(inverse(inverse(X2)),n1) = X2,
inference(transitivity,[status(thm)],[c455,c469]) ).
cnf(c471,plain,
multiply(X2,n1) = X2,
inference(transitivity,[status(thm)],[c453,c470]) ).
cnf(c472,plain,
multiply(multiply(X2,inverse(X3)),n1) = multiply(X2,inverse(X3)),
inference(substitution,[status(thm)],[c471]) ).
cnf(c473,plain,
multiply(X2,inverse(X3)) = multiply(multiply(X2,inverse(X3)),n1),
inference(symmetry,[status(thm)],[c472]) ).
cnf(c474,plain,
multiply(X3,multiply(X2,inverse(X3))) = multiply(X3,multiply(multiply(X2,inverse(X3)),n1)),
inference(congruence,[status(thm)],[c473]) ).
cnf(c475,plain,
add(n0,X2) = multiply(X2,n1),
inference(transitivity,[status(thm)],[c300,c379]) ).
cnf(c476,plain,
add(n0,multiply(X2,inverse(X3))) = multiply(multiply(X2,inverse(X3)),n1),
inference(substitution,[status(thm)],[c475]) ).
cnf(c477,plain,
multiply(multiply(X2,inverse(X3)),n1) = add(n0,multiply(X2,inverse(X3))),
inference(symmetry,[status(thm)],[c476]) ).
cnf(c478,plain,
multiply(X3,multiply(multiply(X2,inverse(X3)),n1)) = multiply(X3,add(n0,multiply(X2,inverse(X3)))),
inference(congruence,[status(thm)],[c477]) ).
cnf(c479,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c480,plain,
multiply(X3,add(n0,multiply(X2,inverse(X3)))) = multiply(inverse(inverse(X3)),add(n0,multiply(X2,inverse(X3)))),
inference(congruence,[status(thm)],[c479]) ).
cnf(c481,plain,
multiply(inverse(inverse(X3)),add(n0,multiply(X2,inverse(X3)))) = multiply(inverse(inverse(X3)),multiply(inverse(X3),add(X3,X2))),
inference(congruence,[status(thm)],[c334]) ).
cnf(c482,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c279]) ).
cnf(c483,plain,
multiply(inverse(X3),multiply(X3,X2)) = multiply(inverse(X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c482]) ).
cnf(c484,plain,
multiply(inverse(X3),multiply(X2,X3)) = multiply(multiply(X2,X3),inverse(X3)),
inference(substitution,[status(thm)],[c279]) ).
cnf(c485,plain,
X2 = multiply(X2,n1),
inference(symmetry,[status(thm)],[c471]) ).
cnf(c486,plain,
multiply(X2,X3) = multiply(X2,multiply(X3,n1)),
inference(congruence,[status(thm)],[c485]) ).
cnf(c487,plain,
multiply(multiply(X2,X3),inverse(X3)) = multiply(multiply(X2,multiply(X3,n1)),inverse(X3)),
inference(congruence,[status(thm)],[c486]) ).
cnf(c488,plain,
multiply(X2,n1) = add(X2,n0),
inference(symmetry,[status(thm)],[c379]) ).
cnf(c489,plain,
multiply(X2,multiply(X3,n1)) = multiply(X2,add(X3,n0)),
inference(congruence,[status(thm)],[c488]) ).
cnf(c490,plain,
multiply(multiply(X2,multiply(X3,n1)),inverse(X3)) = multiply(multiply(X2,add(X3,n0)),inverse(X3)),
inference(congruence,[status(thm)],[c489]) ).
cnf(c491,plain,
multiply(add(X2,X3),add(X2,X3)) = add(X2,X3),
inference(substitution,[status(thm)],[c356]) ).
cnf(c492,plain,
add(X2,X3) = multiply(add(X2,X3),add(X2,X3)),
inference(symmetry,[status(thm)],[c491]) ).
cnf(c493,plain,
add(X3,multiply(X2,X2)) = multiply(add(X2,X3),add(X2,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c494,plain,
multiply(add(X2,X3),add(X2,X3)) = add(X3,multiply(X2,X2)),
inference(symmetry,[status(thm)],[c493]) ).
cnf(c495,plain,
add(X3,multiply(X2,X2)) = add(X3,X2),
inference(congruence,[status(thm)],[c356]) ).
cnf(c496,plain,
multiply(add(X2,X3),add(X2,X3)) = add(X3,X2),
inference(transitivity,[status(thm)],[c494,c495]) ).
cnf(c497,plain,
add(X2,X3) = add(X3,X2),
inference(transitivity,[status(thm)],[c492,c496]) ).
cnf(c498,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c497]) ).
cnf(c499,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(inverse(X3),add(X2,X3)),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,plain,
add(n0,multiply(n1,multiply(inverse(X3),add(X2,X3)))) = multiply(inverse(X3),add(X2,X3)),
inference(substitution,[status(thm)],[c154]) ).
cnf(c501,plain,
multiply(inverse(X3),add(X2,X3)) = add(n0,multiply(n1,multiply(inverse(X3),add(X2,X3)))),
inference(symmetry,[status(thm)],[c500]) ).
cnf(c502,plain,
add(n0,multiply(n1,multiply(inverse(X3),add(X2,X3)))) = add(n0,multiply(X2,inverse(X3))),
inference(congruence,[status(thm)],[c255]) ).
cnf(c503,plain,
add(n0,multiply(X2,inverse(X3))) = multiply(multiply(X2,inverse(X3)),n1),
inference(substitution,[status(thm)],[c475]) ).
cnf(c504,plain,
multiply(multiply(X2,inverse(X3)),n1) = multiply(X2,inverse(X3)),
inference(substitution,[status(thm)],[c471]) ).
cnf(c505,plain,
add(n0,multiply(X2,inverse(X3))) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c503,c504]) ).
cnf(c506,plain,
add(n0,multiply(n1,multiply(inverse(X3),add(X2,X3)))) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c502,c505]) ).
cnf(c507,plain,
multiply(inverse(X3),add(X2,X3)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c501,c506]) ).
cnf(c508,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c499,c507]) ).
cnf(c509,plain,
multiply(inverse(X3),add(X3,multiply(X2,add(X3,n0)))) = multiply(multiply(X2,add(X3,n0)),inverse(X3)),
inference(substitution,[status(thm)],[c508]) ).
cnf(c510,plain,
multiply(multiply(X2,add(X3,n0)),inverse(X3)) = multiply(inverse(X3),add(X3,multiply(X2,add(X3,n0)))),
inference(symmetry,[status(thm)],[c509]) ).
cnf(c511,plain,
multiply(inverse(X3),add(X3,multiply(X2,add(X3,n0)))) = multiply(inverse(X3),multiply(add(X3,n0),add(n1,X2))),
inference(congruence,[status(thm)],[c45]) ).
cnf(c512,plain,
multiply(add(X3,n0),add(n1,X2)) = multiply(multiply(X3,n1),add(n1,X2)),
inference(congruence,[status(thm)],[c379]) ).
cnf(c513,plain,
multiply(inverse(X3),multiply(add(X3,n0),add(n1,X2))) = multiply(inverse(X3),multiply(multiply(X3,n1),add(n1,X2))),
inference(congruence,[status(thm)],[c512]) ).
cnf(c514,plain,
multiply(multiply(X3,n1),add(n1,X2)) = multiply(X3,add(n1,X2)),
inference(congruence,[status(thm)],[c471]) ).
cnf(c515,plain,
multiply(inverse(X3),multiply(multiply(X3,n1),add(n1,X2))) = multiply(inverse(X3),multiply(X3,add(n1,X2))),
inference(congruence,[status(thm)],[c514]) ).
cnf(c516,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c517,plain,
add(n1,X2) = add(n1,inverse(inverse(X2))),
inference(congruence,[status(thm)],[c516]) ).
cnf(c518,plain,
add(n1,inverse(X2)) = add(inverse(X2),n1),
inference(substitution,[status(thm)],[c123]) ).
cnf(c519,plain,
n1 = multiply(n1,n1),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c520,plain,
add(inverse(X2),n1) = add(inverse(X2),multiply(n1,n1)),
inference(congruence,[status(thm)],[c519]) ).
cnf(c521,plain,
add(inverse(X2),multiply(n1,n1)) = multiply(add(n1,inverse(X2)),add(n1,inverse(X2))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c522,plain,
inverse(X2) = multiply(n1,inverse(X2)),
inference(symmetry,[status(thm)],[c437]) ).
cnf(c523,plain,
add(n1,inverse(X2)) = add(n1,multiply(n1,inverse(X2))),
inference(congruence,[status(thm)],[c522]) ).
cnf(c524,plain,
multiply(add(n1,inverse(X2)),add(n1,inverse(X2))) = multiply(add(n1,inverse(X2)),add(n1,multiply(n1,inverse(X2)))),
inference(congruence,[status(thm)],[c523]) ).
cnf(c525,plain,
multiply(add(n1,inverse(X2)),add(n1,multiply(n1,inverse(X2)))) = n1,
inference(substitution,[status(thm)],[c342]) ).
cnf(c526,plain,
multiply(add(n1,inverse(X2)),add(n1,inverse(X2))) = n1,
inference(transitivity,[status(thm)],[c524,c525]) ).
cnf(c527,plain,
add(inverse(X2),multiply(n1,n1)) = n1,
inference(transitivity,[status(thm)],[c521,c526]) ).
cnf(c528,plain,
add(inverse(X2),n1) = n1,
inference(transitivity,[status(thm)],[c520,c527]) ).
cnf(c529,plain,
add(n1,inverse(X2)) = n1,
inference(transitivity,[status(thm)],[c518,c528]) ).
cnf(c530,plain,
add(n1,inverse(inverse(X2))) = n1,
inference(substitution,[status(thm)],[c529]) ).
cnf(c531,plain,
add(n1,X2) = n1,
inference(transitivity,[status(thm)],[c517,c530]) ).
cnf(c532,plain,
multiply(X3,add(n1,X2)) = multiply(X3,n1),
inference(congruence,[status(thm)],[c531]) ).
cnf(c533,plain,
multiply(inverse(X3),multiply(X3,add(n1,X2))) = multiply(inverse(X3),multiply(X3,n1)),
inference(congruence,[status(thm)],[c532]) ).
cnf(c534,plain,
multiply(inverse(X2),multiply(X2,n1)) = multiply(inverse(X2),X2),
inference(congruence,[status(thm)],[c471]) ).
cnf(c535,plain,
X2 = multiply(X2,X2),
inference(symmetry,[status(thm)],[c356]) ).
cnf(c536,plain,
multiply(inverse(X2),X2) = multiply(inverse(X2),multiply(X2,X2)),
inference(congruence,[status(thm)],[c535]) ).
cnf(c537,plain,
X2 = add(X2,X2),
inference(symmetry,[status(thm)],[c273]) ).
cnf(c538,plain,
multiply(X2,X2) = multiply(X2,add(X2,X2)),
inference(congruence,[status(thm)],[c537]) ).
cnf(c539,plain,
multiply(inverse(X2),multiply(X2,X2)) = multiply(inverse(X2),multiply(X2,add(X2,X2))),
inference(congruence,[status(thm)],[c538]) ).
cnf(c540,plain,
X2 = multiply(X2,X2),
inference(symmetry,[status(thm)],[c356]) ).
cnf(c541,plain,
inverse(X2) = inverse(multiply(X2,X2)),
inference(congruence,[status(thm)],[c540]) ).
cnf(c542,plain,
multiply(inverse(X2),multiply(X2,add(X2,X2))) = multiply(inverse(multiply(X2,X2)),multiply(X2,add(X2,X2))),
inference(congruence,[status(thm)],[c541]) ).
cnf(c543,plain,
multiply(X2,add(X3,X3)) = add(multiply(X3,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c544,plain,
multiply(inverse(multiply(X3,X2)),multiply(X2,add(X3,X3))) = multiply(inverse(multiply(X3,X2)),add(multiply(X3,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c543]) ).
cnf(c545,plain,
multiply(inverse(multiply(X3,X2)),add(multiply(X3,X2),multiply(X3,X2))) = add(n0,n0),
inference(substitution,[status(thm)],[c363]) ).
cnf(c546,plain,
multiply(inverse(multiply(X3,X2)),multiply(X2,add(X3,X3))) = add(n0,n0),
inference(transitivity,[status(thm)],[c544,c545]) ).
cnf(c547,plain,
multiply(inverse(multiply(X2,X2)),multiply(X2,add(X2,X2))) = add(n0,n0),
inference(substitution,[status(thm)],[c546]) ).
cnf(c548,plain,
multiply(inverse(multiply(X2,X2)),multiply(X2,add(X2,X2))) = n0,
inference(transitivity,[status(thm)],[c547,c192]) ).
cnf(c549,plain,
multiply(inverse(X2),multiply(X2,add(X2,X2))) = n0,
inference(transitivity,[status(thm)],[c542,c548]) ).
cnf(c550,plain,
multiply(inverse(X2),multiply(X2,X2)) = n0,
inference(transitivity,[status(thm)],[c539,c549]) ).
cnf(c551,plain,
multiply(inverse(X2),X2) = n0,
inference(transitivity,[status(thm)],[c536,c550]) ).
cnf(c552,plain,
multiply(inverse(X2),multiply(X2,n1)) = n0,
inference(transitivity,[status(thm)],[c534,c551]) ).
cnf(c553,plain,
multiply(inverse(X3),multiply(X3,add(n1,X2))) = n0,
inference(transitivity,[status(thm)],[c533,c552]) ).
cnf(c554,plain,
multiply(inverse(X3),multiply(multiply(X3,n1),add(n1,X2))) = n0,
inference(transitivity,[status(thm)],[c515,c553]) ).
cnf(c555,plain,
multiply(inverse(X3),multiply(add(X3,n0),add(n1,X2))) = n0,
inference(transitivity,[status(thm)],[c513,c554]) ).
cnf(c556,plain,
multiply(inverse(X3),add(X3,multiply(X2,add(X3,n0)))) = n0,
inference(transitivity,[status(thm)],[c511,c555]) ).
cnf(c557,plain,
multiply(multiply(X2,add(X3,n0)),inverse(X3)) = n0,
inference(transitivity,[status(thm)],[c510,c556]) ).
cnf(c558,plain,
multiply(multiply(X2,multiply(X3,n1)),inverse(X3)) = n0,
inference(transitivity,[status(thm)],[c490,c557]) ).
cnf(c559,plain,
multiply(multiply(X2,X3),inverse(X3)) = n0,
inference(transitivity,[status(thm)],[c487,c558]) ).
cnf(c560,plain,
multiply(inverse(X3),multiply(X2,X3)) = n0,
inference(transitivity,[status(thm)],[c484,c559]) ).
cnf(c561,plain,
multiply(inverse(X3),multiply(X3,X2)) = n0,
inference(transitivity,[status(thm)],[c483,c560]) ).
cnf(c562,plain,
multiply(inverse(inverse(X3)),multiply(inverse(X3),add(X3,X2))) = n0,
inference(substitution,[status(thm)],[c561]) ).
cnf(c563,plain,
multiply(inverse(inverse(X3)),add(n0,multiply(X2,inverse(X3)))) = n0,
inference(transitivity,[status(thm)],[c481,c562]) ).
cnf(c564,plain,
multiply(X3,add(n0,multiply(X2,inverse(X3)))) = n0,
inference(transitivity,[status(thm)],[c480,c563]) ).
cnf(c565,plain,
multiply(X3,multiply(multiply(X2,inverse(X3)),n1)) = n0,
inference(transitivity,[status(thm)],[c478,c564]) ).
cnf(c566,plain,
multiply(X3,multiply(X2,inverse(X3))) = n0,
inference(transitivity,[status(thm)],[c474,c565]) ).
cnf(c567,plain,
multiply(n0,multiply(X2,inverse(n0))) = n0,
inference(substitution,[status(thm)],[c566]) ).
cnf(c568,plain,
add(multiply(X3,n1),multiply(n0,multiply(X2,inverse(n0)))) = add(multiply(X3,n1),n0),
inference(congruence,[status(thm)],[c567]) ).
cnf(c569,plain,
add(multiply(X2,n1),n0) = multiply(multiply(X2,n1),n1),
inference(substitution,[status(thm)],[c379]) ).
cnf(c570,plain,
multiply(multiply(X2,n1),n1) = multiply(X2,n1),
inference(substitution,[status(thm)],[c471]) ).
cnf(c571,plain,
multiply(multiply(X2,n1),n1) = X2,
inference(transitivity,[status(thm)],[c570,c471]) ).
cnf(c572,plain,
add(multiply(X2,n1),n0) = X2,
inference(transitivity,[status(thm)],[c569,c571]) ).
cnf(c573,plain,
add(multiply(X3,n1),multiply(n0,multiply(X2,inverse(n0)))) = X3,
inference(transitivity,[status(thm)],[c568,c572]) ).
cnf(c574,plain,
multiply(X3,add(multiply(X2,inverse(n0)),multiply(X3,n1))) = X3,
inference(transitivity,[status(thm)],[c451,c573]) ).
cnf(c575,plain,
multiply(X3,add(multiply(X2,n1),multiply(X3,n1))) = X3,
inference(transitivity,[status(thm)],[c449,c574]) ).
cnf(c576,plain,
multiply(X3,multiply(n1,add(X2,X3))) = X3,
inference(transitivity,[status(thm)],[c445,c575]) ).
cnf(c577,plain,
multiply(X3,add(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c443,c576]) ).
cnf(c578,plain,
multiply(b,add(a,b)) = b,
inference(substitution,[status(thm)],[c577]) ).
cnf(c579,plain,
multiply(add(a,b),b) = b,
inference(transitivity,[status(thm)],[c281,c578]) ).
cnf(c580,plain,
$false,
inference(resolution,[status(thm)],[c1,c579]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO026-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.16 % Computer : n004.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Mon Sep 28 21:04:51 UTC 2026
% 0.09/0.16 % CPUTime :
% 0.09/0.16 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.32/0.52 Command-line arguments: --no-flatten-goal
% 2.32/0.52
% 2.32/0.52 % SZS status Unsatisfiable
% 2.32/0.52
% 2.32/0.56 % SZS output start CNFRefutation
% See solution above
% 4.00/0.83
% 4.00/0.83 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------