%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : BOO031-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/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 09:35:38 AM UTC 2026
% Result : Unsatisfiable 14.72s 2.13s
% Output : CNFRefutation 16.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 12
% Syntax : Number of clauses : 553 ( 553 unt; 0 nHn; 13 RR)
% Number of literals : 553 ( 552 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 1350 ( 167 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
multiply(a,add(b,c)) != add(multiply(b,a),multiply(c,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_multiply_add_property) ).
cnf(c2,axiom,
multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_multiply) ).
cnf(c3,plain,
multiply(multiply(X3,X2),X3) = multiply(X3,multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
multiply(X3,multiply(X2,X3)) = multiply(multiply(X3,X2),X3),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
add(add(X2,Y2),Z2) = add(X2,add(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
cnf(c6,plain,
add(add(multiply(X3,X2),multiply(X2,X4)),X2) = add(multiply(X3,X2),add(multiply(X2,X4),X2)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
add(multiply(X4,X3),add(multiply(X3,X2),X3)) = add(add(multiply(X4,X3),multiply(X3,X2)),X3),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,axiom,
add(add(multiply(X2,Y2),multiply(Y2,Z2)),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3) ).
cnf(c9,plain,
add(add(multiply(X4,X3),multiply(X3,X2)),X3) = X3,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
add(multiply(X4,X3),add(multiply(X3,X2),X3)) = X3,
inference(transitivity,[status(thm)],[c7,c9]) ).
cnf(c11,plain,
add(multiply(X2,X4),add(multiply(X4,X3),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c12,plain,
X4 = add(multiply(X2,X4),add(multiply(X4,X3),X4)),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
multiply(multiply(X4,X3),X4) = multiply(multiply(X4,X3),add(multiply(X2,X4),add(multiply(X4,X3),X4))),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
multiply(X2,add(Y2,add(X2,Z2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2) ).
cnf(c15,plain,
multiply(multiply(X4,X3),add(multiply(X2,X4),add(multiply(X4,X3),X4))) = multiply(X4,X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
multiply(multiply(X3,X2),X3) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
multiply(X3,multiply(X2,X3)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c4,c16]) ).
cnf(c18,plain,
multiply(X2,multiply(X3,X2)) = multiply(X2,X3),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
multiply(X2,X3) = multiply(X2,multiply(X3,X2)),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c21,plain,
X4 = add(multiply(X3,X4),add(multiply(X4,X2),X4)),
inference(symmetry,[status(thm)],[c20]) ).
cnf(c22,plain,
multiply(X4,multiply(X3,X4)) = multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),multiply(X3,X4)),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,axiom,
add(X2,inverse(X2)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c24,plain,
n1 = add(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
multiply(n1,X3) = multiply(add(X2,inverse(X2)),X3),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,axiom,
multiply(add(X2,inverse(X2)),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property3) ).
cnf(c27,plain,
multiply(add(X2,inverse(X2)),X3) = X3,
inference(substitution,[status(thm)],[c26]) ).
cnf(c28,plain,
multiply(n1,X2) = X2,
inference(transitivity,[status(thm)],[c25,c27]) ).
cnf(c29,plain,
multiply(n1,add(X2,X3)) = add(X2,X3),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
add(X2,X3) = multiply(n1,add(X2,X3)),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
multiply(n1,multiply(n1,add(X2,X3))) = multiply(n1,add(X2,X3)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c32,plain,
multiply(n1,add(X2,X3)) = multiply(n1,multiply(n1,add(X2,X3))),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
X2 = multiply(n1,X2),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c34,plain,
add(X2,n1) = add(multiply(n1,X2),n1),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,axiom,
multiply(X2,inverse(X2)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c36,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c37,plain,
add(n0,X3) = add(multiply(X2,inverse(X2)),X3),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,axiom,
add(multiply(X2,inverse(X2)),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property3_dual) ).
cnf(c39,plain,
add(multiply(X2,inverse(X2)),X3) = X3,
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,plain,
add(n0,X2) = X2,
inference(transitivity,[status(thm)],[c37,c39]) ).
cnf(c41,plain,
add(n0,add(multiply(n1,X2),n1)) = add(multiply(n1,X2),n1),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
add(multiply(n1,X2),n1) = add(n0,add(multiply(n1,X2),n1)),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
add(n0,inverse(n0)) = inverse(n0),
inference(substitution,[status(thm)],[c40]) ).
cnf(c44,plain,
inverse(n0) = add(n0,inverse(n0)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
add(n0,inverse(n0)) = n1,
inference(substitution,[status(thm)],[c23]) ).
cnf(c46,plain,
inverse(n0) = n1,
inference(transitivity,[status(thm)],[c44,c45]) ).
cnf(c47,plain,
n1 = inverse(n0),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
multiply(n0,n1) = multiply(n0,inverse(n0)),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
multiply(n0,inverse(n0)) = n0,
inference(substitution,[status(thm)],[c35]) ).
cnf(c50,plain,
multiply(n0,n1) = n0,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
n0 = multiply(n0,n1),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
add(n0,add(multiply(n1,X2),n1)) = add(multiply(n0,n1),add(multiply(n1,X2),n1)),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
add(multiply(n0,n1),add(multiply(n1,X2),n1)) = n1,
inference(substitution,[status(thm)],[c10]) ).
cnf(c54,plain,
add(n0,add(multiply(n1,X2),n1)) = n1,
inference(transitivity,[status(thm)],[c52,c53]) ).
cnf(c55,plain,
add(multiply(n1,X2),n1) = n1,
inference(transitivity,[status(thm)],[c42,c54]) ).
cnf(c56,plain,
add(X2,n1) = n1,
inference(transitivity,[status(thm)],[c34,c55]) ).
cnf(c57,plain,
n1 = add(X2,n1),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
multiply(n1,multiply(n1,add(X2,X3))) = multiply(add(X3,n1),multiply(n1,add(X2,X3))),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
X2 = multiply(n1,X2),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c60,plain,
add(n1,X2) = add(n1,multiply(n1,X2)),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
multiply(n1,multiply(X3,X2)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c28]) ).
cnf(c62,plain,
multiply(X3,X2) = multiply(n1,multiply(X3,X2)),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
add(X3,multiply(X3,X2)) = add(X3,multiply(n1,multiply(X3,X2))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,axiom,
add(X2,multiply(Y2,multiply(X2,Z2))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1) ).
cnf(c65,plain,
add(X3,multiply(n1,multiply(X3,X2))) = X3,
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
add(X3,multiply(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c63,c65]) ).
cnf(c67,plain,
add(n1,multiply(n1,X2)) = n1,
inference(substitution,[status(thm)],[c66]) ).
cnf(c68,plain,
add(n1,X2) = n1,
inference(transitivity,[status(thm)],[c60,c67]) ).
cnf(c69,plain,
n1 = add(n1,X2),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
multiply(n1,add(X2,X3)) = multiply(add(n1,X2),add(X2,X3)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
multiply(add(X3,n1),multiply(n1,add(X2,X3))) = multiply(add(X3,n1),multiply(add(n1,X2),add(X2,X3))),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,axiom,
add(multiply(X2,Y2),add(multiply(Y2,Z2),multiply(Z2,X2))) = multiply(add(X2,Y2),multiply(add(Y2,Z2),add(Z2,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity) ).
cnf(c73,plain,
add(multiply(X3,n1),add(multiply(n1,X2),multiply(X2,X3))) = multiply(add(X3,n1),multiply(add(n1,X2),add(X2,X3))),
inference(substitution,[status(thm)],[c72]) ).
cnf(c74,plain,
multiply(add(X3,n1),multiply(add(n1,X2),add(X2,X3))) = add(multiply(X3,n1),add(multiply(n1,X2),multiply(X2,X3))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
n1 = add(X2,n1),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c76,plain,
multiply(X3,n1) = multiply(X3,add(X2,n1)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
n1 = add(X2,n1),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c78,plain,
add(X2,n1) = add(X2,add(X3,n1)),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
multiply(X3,add(X2,n1)) = multiply(X3,add(X2,add(X3,n1))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
multiply(X3,add(X2,add(X3,n1))) = X3,
inference(substitution,[status(thm)],[c14]) ).
cnf(c81,plain,
multiply(X3,add(X2,n1)) = X3,
inference(transitivity,[status(thm)],[c79,c80]) ).
cnf(c82,plain,
multiply(X2,n1) = X2,
inference(transitivity,[status(thm)],[c76,c81]) ).
cnf(c83,plain,
add(multiply(X3,n1),add(multiply(n1,X2),multiply(X2,X3))) = add(X3,add(multiply(n1,X2),multiply(X2,X3))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
add(multiply(n1,X2),multiply(X2,X3)) = add(X2,multiply(X2,X3)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c85,plain,
add(X3,add(multiply(n1,X2),multiply(X2,X3))) = add(X3,add(X2,multiply(X2,X3))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
add(X2,multiply(X2,X3)) = X2,
inference(substitution,[status(thm)],[c66]) ).
cnf(c87,plain,
add(X3,add(X2,multiply(X2,X3))) = add(X3,X2),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
add(X3,add(multiply(n1,X2),multiply(X2,X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c85,c87]) ).
cnf(c89,plain,
add(multiply(X3,n1),add(multiply(n1,X2),multiply(X2,X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c83,c88]) ).
cnf(c90,plain,
multiply(add(X3,n1),multiply(add(n1,X2),add(X2,X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c74,c89]) ).
cnf(c91,plain,
multiply(add(X3,n1),multiply(n1,add(X2,X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c71,c90]) ).
cnf(c92,plain,
multiply(n1,multiply(n1,add(X2,X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c58,c91]) ).
cnf(c93,plain,
multiply(n1,add(X2,X3)) = add(X3,X2),
inference(transitivity,[status(thm)],[c32,c92]) ).
cnf(c94,plain,
add(X2,X3) = add(X3,X2),
inference(transitivity,[status(thm)],[c30,c93]) ).
cnf(c95,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c96,plain,
multiply(add(X3,X2),X3) = multiply(add(X2,X3),X3),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
X2 = multiply(n1,X2),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c98,plain,
multiply(add(X2,X3),X3) = multiply(add(X2,X3),multiply(n1,X3)),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
n1 = add(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c100,plain,
multiply(n1,X2) = multiply(add(X2,inverse(X2)),X2),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
multiply(add(X2,X3),multiply(n1,X3)) = multiply(add(X2,X3),multiply(add(X3,inverse(X3)),X3)),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
multiply(multiply(add(X4,X3),add(X3,X2)),X3) = multiply(add(X4,X3),multiply(add(X3,X2),X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c103,plain,
multiply(add(X4,X3),multiply(add(X3,X2),X3)) = multiply(multiply(add(X4,X3),add(X3,X2)),X3),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,axiom,
multiply(multiply(add(X2,Y2),add(Y2,Z2)),Y2) = Y2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4) ).
cnf(c105,plain,
multiply(multiply(add(X4,X3),add(X3,X2)),X3) = X3,
inference(substitution,[status(thm)],[c104]) ).
cnf(c106,plain,
multiply(add(X4,X3),multiply(add(X3,X2),X3)) = X3,
inference(transitivity,[status(thm)],[c103,c105]) ).
cnf(c107,plain,
multiply(add(X2,X3),multiply(add(X3,inverse(X3)),X3)) = X3,
inference(substitution,[status(thm)],[c106]) ).
cnf(c108,plain,
multiply(add(X2,X3),multiply(n1,X3)) = X3,
inference(transitivity,[status(thm)],[c101,c107]) ).
cnf(c109,plain,
multiply(add(X2,X3),X3) = X3,
inference(transitivity,[status(thm)],[c98,c108]) ).
cnf(c110,plain,
multiply(add(X3,X2),X3) = X3,
inference(transitivity,[status(thm)],[c96,c109]) ).
cnf(c111,plain,
multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),multiply(X3,X4)) = multiply(X3,X4),
inference(substitution,[status(thm)],[c110]) ).
cnf(c112,plain,
multiply(X3,multiply(X2,X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c22,c111]) ).
cnf(c113,plain,
multiply(X2,multiply(X3,X2)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c112]) ).
cnf(c114,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c19,c113]) ).
cnf(c115,plain,
add(multiply(X4,X3),multiply(X2,X3)) = add(multiply(X4,X3),multiply(X3,X2)),
inference(congruence,[status(thm)],[c114]) ).
cnf(c116,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c117,plain,
add(multiply(X4,X3),multiply(X3,X2)) = add(multiply(X4,X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,plain,
add(multiply(X4,X3),multiply(X2,X3)) = add(multiply(X2,X3),multiply(X4,X3)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c119,plain,
multiply(add(X4,X3),X2) = multiply(X2,add(X4,X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c120,plain,
multiply(X4,multiply(add(X4,X3),X2)) = multiply(X4,multiply(X2,add(X4,X3))),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
multiply(X3,add(X4,X2)) = multiply(add(X4,X2),X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c122,plain,
multiply(X4,multiply(X3,add(X4,X2))) = multiply(X4,multiply(add(X4,X2),X3)),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
multiply(multiply(X4,add(X4,X2)),X3) = multiply(X4,multiply(add(X4,X2),X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c124,plain,
multiply(X4,multiply(add(X4,X2),X3)) = multiply(multiply(X4,add(X4,X2)),X3),
inference(symmetry,[status(thm)],[c123]) ).
cnf(c125,plain,
add(n0,add(X3,X2)) = add(X3,X2),
inference(substitution,[status(thm)],[c40]) ).
cnf(c126,plain,
add(X3,X2) = add(n0,add(X3,X2)),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
multiply(X3,add(X3,X2)) = multiply(X3,add(n0,add(X3,X2))),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
multiply(X3,add(n0,add(X3,X2))) = X3,
inference(substitution,[status(thm)],[c14]) ).
cnf(c129,plain,
multiply(X3,add(X3,X2)) = X3,
inference(transitivity,[status(thm)],[c127,c128]) ).
cnf(c130,plain,
multiply(multiply(X4,add(X4,X2)),X3) = multiply(X4,X3),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
multiply(X4,multiply(add(X4,X2),X3)) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c124,c130]) ).
cnf(c132,plain,
multiply(X4,multiply(X3,add(X4,X2))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c122,c131]) ).
cnf(c133,plain,
multiply(X4,multiply(X2,add(X4,X3))) = multiply(X4,X2),
inference(substitution,[status(thm)],[c132]) ).
cnf(c134,plain,
multiply(X4,multiply(add(X4,X3),X2)) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c120,c133]) ).
cnf(c135,plain,
multiply(X4,multiply(add(X4,multiply(X2,X3)),X3)) = multiply(X4,X3),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
multiply(X4,X3) = multiply(X4,multiply(add(X4,multiply(X2,X3)),X3)),
inference(symmetry,[status(thm)],[c135]) ).
cnf(c137,plain,
add(multiply(X2,X3),multiply(X4,X3)) = add(multiply(X2,X3),multiply(X4,multiply(add(X4,multiply(X2,X3)),X3))),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c139,plain,
multiply(add(X4,X3),add(X3,X2)) = multiply(add(X4,X3),add(X2,X3)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c141,plain,
multiply(add(X4,X3),add(X2,X3)) = multiply(add(X3,X4),add(X2,X3)),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
multiply(add(X3,X4),add(X2,X3)) = multiply(add(X2,X3),add(X3,X4)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c143,plain,
multiply(add(X3,X4),add(X2,X4)) = multiply(add(X3,X4),add(X4,X2)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c144,plain,
add(X4,multiply(add(X3,X4),add(X2,X4))) = add(X4,multiply(add(X3,X4),add(X4,X2))),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c146,plain,
multiply(add(X3,X4),add(X4,X2)) = multiply(add(X3,X4),add(X2,X4)),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
add(X4,multiply(add(X3,X4),add(X4,X2))) = add(X4,multiply(add(X3,X4),add(X2,X4))),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
multiply(add(X3,X4),add(X2,X4)) = multiply(add(X4,X3),add(X2,X4)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c149,plain,
add(X4,multiply(add(X3,X4),add(X2,X4))) = add(X4,multiply(add(X4,X3),add(X2,X4))),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
multiply(add(X4,X3),add(X2,X4)) = multiply(add(X2,X4),add(X4,X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c151,plain,
add(X4,multiply(add(X4,X3),add(X2,X4))) = add(X4,multiply(add(X2,X4),add(X4,X3))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
add(X4,multiply(add(X2,X4),add(X4,X3))) = add(multiply(add(X2,X4),add(X4,X3)),X4),
inference(substitution,[status(thm)],[c94]) ).
cnf(c153,plain,
multiply(add(X2,X4),multiply(add(X4,X3),X4)) = X4,
inference(substitution,[status(thm)],[c106]) ).
cnf(c154,plain,
X4 = multiply(add(X2,X4),multiply(add(X4,X3),X4)),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
add(multiply(add(X2,X4),add(X4,X3)),X4) = add(multiply(add(X2,X4),add(X4,X3)),multiply(add(X2,X4),multiply(add(X4,X3),X4))),
inference(congruence,[status(thm)],[c154]) ).
cnf(c156,plain,
multiply(multiply(X4,X3),X2) = multiply(X4,multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c157,plain,
multiply(X4,multiply(X3,X2)) = multiply(multiply(X4,X3),X2),
inference(symmetry,[status(thm)],[c156]) ).
cnf(c158,plain,
add(multiply(X4,X3),multiply(X4,multiply(X3,X2))) = add(multiply(X4,X3),multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
add(multiply(X4,X3),multiply(multiply(X4,X3),X2)) = multiply(X4,X3),
inference(substitution,[status(thm)],[c66]) ).
cnf(c160,plain,
add(multiply(X4,X3),multiply(X4,multiply(X3,X2))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c158,c159]) ).
cnf(c161,plain,
add(multiply(add(X2,X4),add(X4,X3)),multiply(add(X2,X4),multiply(add(X4,X3),X4))) = multiply(add(X2,X4),add(X4,X3)),
inference(substitution,[status(thm)],[c160]) ).
cnf(c162,plain,
multiply(add(X4,X3),add(X2,X4)) = multiply(add(X2,X4),add(X4,X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c163,plain,
multiply(add(X2,X4),add(X4,X3)) = multiply(add(X4,X3),add(X2,X4)),
inference(symmetry,[status(thm)],[c162]) ).
cnf(c164,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c94]) ).
cnf(c165,plain,
multiply(add(X4,X3),add(X2,X4)) = multiply(add(X3,X4),add(X2,X4)),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c167,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
multiply(add(X3,X4),add(X2,X4)) = multiply(add(X3,X4),add(X4,X2)),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
multiply(add(X4,X3),add(X2,X4)) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c165,c168]) ).
cnf(c170,plain,
multiply(add(X2,X4),add(X4,X3)) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c163,c169]) ).
cnf(c171,plain,
add(multiply(add(X2,X4),add(X4,X3)),multiply(add(X2,X4),multiply(add(X4,X3),X4))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c161,c170]) ).
cnf(c172,plain,
add(multiply(add(X2,X4),add(X4,X3)),X4) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c155,c171]) ).
cnf(c173,plain,
add(X4,multiply(add(X2,X4),add(X4,X3))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c152,c172]) ).
cnf(c174,plain,
add(X4,multiply(add(X4,X3),add(X2,X4))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c151,c173]) ).
cnf(c175,plain,
add(X4,multiply(add(X3,X4),add(X2,X4))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c149,c174]) ).
cnf(c176,plain,
add(X4,multiply(add(X3,X4),add(X4,X2))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c147,c175]) ).
cnf(c177,plain,
add(X4,multiply(add(X3,X4),add(X2,X4))) = multiply(add(X3,X4),add(X4,X2)),
inference(transitivity,[status(thm)],[c144,c176]) ).
cnf(c178,plain,
add(X3,multiply(add(X2,X3),add(X4,X3))) = multiply(add(X2,X3),add(X3,X4)),
inference(substitution,[status(thm)],[c177]) ).
cnf(c179,plain,
multiply(add(X2,X3),add(X3,X4)) = add(X3,multiply(add(X2,X3),add(X4,X3))),
inference(symmetry,[status(thm)],[c178]) ).
cnf(c180,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c181,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c180]) ).
cnf(c182,plain,
multiply(add(X2,X3),add(X4,X3)) = multiply(add(X3,X2),add(X4,X3)),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
add(X3,multiply(add(X2,X3),add(X4,X3))) = add(X3,multiply(add(X3,X2),add(X4,X3))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
multiply(add(X4,X3),X2) = multiply(X2,add(X4,X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c185,plain,
add(X4,multiply(add(X4,X3),X2)) = add(X4,multiply(X2,add(X4,X3))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
multiply(add(X4,X3),X2) = multiply(X2,add(X4,X3)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c187,plain,
add(X4,multiply(add(X4,X3),X2)) = add(X4,multiply(X2,add(X4,X3))),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
multiply(add(X4,X3),add(X4,multiply(add(X4,X3),X2))) = multiply(add(X4,X3),add(X4,multiply(X2,add(X4,X3)))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c190,plain,
multiply(add(X4,X3),add(X4,multiply(X2,add(X4,X3)))) = multiply(add(X3,X4),add(X4,multiply(X2,add(X4,X3)))),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c192,plain,
multiply(X2,add(X4,X3)) = multiply(X2,add(X3,X4)),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
add(X4,multiply(X2,add(X4,X3))) = add(X4,multiply(X2,add(X3,X4))),
inference(congruence,[status(thm)],[c192]) ).
cnf(c194,plain,
multiply(add(X3,X4),add(X4,multiply(X2,add(X4,X3)))) = multiply(add(X3,X4),add(X4,multiply(X2,add(X3,X4)))),
inference(congruence,[status(thm)],[c193]) ).
cnf(c195,plain,
multiply(add(add(X4,multiply(X2,add(X3,X4))),X5),add(X4,multiply(X2,add(X3,X4)))) = add(X4,multiply(X2,add(X3,X4))),
inference(substitution,[status(thm)],[c110]) ).
cnf(c196,plain,
add(X5,multiply(X3,add(X4,X5))) = multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5)))),
inference(symmetry,[status(thm)],[c195]) ).
cnf(c197,plain,
multiply(add(X4,X5),add(X5,multiply(X3,add(X4,X5)))) = multiply(add(X4,X5),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c199,plain,
multiply(X2,add(X4,X3)) = multiply(X2,add(X3,X4)),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
add(X3,multiply(X2,add(X4,X3))) = add(X3,multiply(X2,add(X3,X4))),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
add(X4,add(X3,multiply(X2,add(X4,X3)))) = add(X4,add(X3,multiply(X2,add(X3,X4)))),
inference(congruence,[status(thm)],[c200]) ).
cnf(c202,plain,
add(X3,multiply(X2,add(X3,X4))) = add(multiply(X2,add(X3,X4)),X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c203,plain,
add(X4,add(X3,multiply(X2,add(X3,X4)))) = add(X4,add(multiply(X2,add(X3,X4)),X3)),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
add(X4,add(X3,X2)) = add(add(X3,X2),X4),
inference(substitution,[status(thm)],[c94]) ).
cnf(c205,plain,
add(add(X3,X2),X4) = add(X3,add(X2,X4)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c206,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c207,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c206]) ).
cnf(c208,plain,
add(X3,add(X2,X4)) = add(X3,add(X4,X2)),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
add(add(X3,X2),X4) = add(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c205,c208]) ).
cnf(c210,plain,
add(X4,add(X3,X2)) = add(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c204,c209]) ).
cnf(c211,plain,
add(multiply(X2,add(X3,X4)),add(X4,X3)) = add(X4,add(multiply(X2,add(X3,X4)),X3)),
inference(substitution,[status(thm)],[c210]) ).
cnf(c212,plain,
add(X4,add(multiply(X2,add(X3,X4)),X3)) = add(multiply(X2,add(X3,X4)),add(X4,X3)),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
add(X3,add(X2,X3)) = add(X3,add(X3,X2)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c214,plain,
add(X3,add(X3,X2)) = add(add(X3,X2),X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c215,plain,
multiply(add(X2,X4),multiply(add(X4,X3),X4)) = X4,
inference(substitution,[status(thm)],[c106]) ).
cnf(c216,plain,
X4 = multiply(add(X2,X4),multiply(add(X4,X3),X4)),
inference(symmetry,[status(thm)],[c215]) ).
cnf(c217,plain,
add(add(X4,X3),X4) = add(add(X4,X3),multiply(add(X2,X4),multiply(add(X4,X3),X4))),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
add(add(X4,X3),multiply(add(X2,X4),multiply(add(X4,X3),X4))) = add(X4,X3),
inference(substitution,[status(thm)],[c64]) ).
cnf(c219,plain,
add(add(X3,X2),X3) = add(X3,X2),
inference(transitivity,[status(thm)],[c217,c218]) ).
cnf(c220,plain,
add(X3,add(X3,X2)) = add(X3,X2),
inference(transitivity,[status(thm)],[c214,c219]) ).
cnf(c221,plain,
add(X3,add(X2,X3)) = add(X3,X2),
inference(transitivity,[status(thm)],[c213,c220]) ).
cnf(c222,plain,
add(X3,X2) = add(X3,add(X2,X3)),
inference(symmetry,[status(thm)],[c221]) ).
cnf(c223,plain,
add(multiply(X2,add(X3,X4)),add(X4,X3)) = add(multiply(X2,add(X3,X4)),add(X4,add(X3,X4))),
inference(congruence,[status(thm)],[c222]) ).
cnf(c224,plain,
multiply(add(X3,X4),multiply(add(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c106]) ).
cnf(c225,plain,
X4 = multiply(add(X3,X4),multiply(add(X4,X2),X4)),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
add(X4,add(X3,X4)) = add(multiply(add(X3,X4),multiply(add(X4,X2),X4)),add(X3,X4)),
inference(congruence,[status(thm)],[c225]) ).
cnf(c227,plain,
add(multiply(X3,add(X4,X5)),add(X5,add(X4,X5))) = add(multiply(X3,add(X4,X5)),add(multiply(add(X4,X5),multiply(add(X5,X2),X5)),add(X4,X5))),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
add(multiply(X3,add(X4,X5)),add(multiply(add(X4,X5),multiply(add(X5,X2),X5)),add(X4,X5))) = add(X4,X5),
inference(substitution,[status(thm)],[c10]) ).
cnf(c229,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c230,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c229]) ).
cnf(c231,plain,
add(multiply(X3,add(X4,X5)),add(multiply(add(X4,X5),multiply(add(X5,X2),X5)),add(X4,X5))) = add(X5,X4),
inference(transitivity,[status(thm)],[c228,c230]) ).
cnf(c232,plain,
add(multiply(X2,add(X3,X4)),add(X4,add(X3,X4))) = add(X4,X3),
inference(transitivity,[status(thm)],[c227,c231]) ).
cnf(c233,plain,
add(multiply(X2,add(X3,X4)),add(X4,X3)) = add(X4,X3),
inference(transitivity,[status(thm)],[c223,c232]) ).
cnf(c234,plain,
add(X4,add(multiply(X2,add(X3,X4)),X3)) = add(X4,X3),
inference(transitivity,[status(thm)],[c212,c233]) ).
cnf(c235,plain,
add(X4,add(X3,multiply(X2,add(X3,X4)))) = add(X4,X3),
inference(transitivity,[status(thm)],[c203,c234]) ).
cnf(c236,plain,
add(X4,add(X3,multiply(X2,add(X4,X3)))) = add(X4,X3),
inference(transitivity,[status(thm)],[c201,c235]) ).
cnf(c237,plain,
add(X3,add(X4,multiply(X2,add(X3,X4)))) = add(X3,X4),
inference(substitution,[status(thm)],[c236]) ).
cnf(c238,plain,
add(X3,X4) = add(X3,add(X4,multiply(X2,add(X3,X4)))),
inference(symmetry,[status(thm)],[c237]) ).
cnf(c239,plain,
multiply(add(X4,X5),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))) = multiply(add(X4,add(X5,multiply(X3,add(X4,X5)))),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
multiply(add(X4,add(X5,multiply(X3,add(X4,X5)))),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))) = add(X5,multiply(X3,add(X4,X5))),
inference(substitution,[status(thm)],[c106]) ).
cnf(c241,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c242,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c241]) ).
cnf(c243,plain,
multiply(X2,add(X3,X4)) = multiply(X2,add(X4,X3)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
add(X4,multiply(X2,add(X3,X4))) = add(X4,multiply(X2,add(X4,X3))),
inference(congruence,[status(thm)],[c243]) ).
cnf(c245,plain,
multiply(add(X4,add(X5,multiply(X3,add(X4,X5)))),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))) = add(X5,multiply(X3,add(X5,X4))),
inference(transitivity,[status(thm)],[c240,c244]) ).
cnf(c246,plain,
multiply(add(X4,X5),multiply(add(add(X5,multiply(X3,add(X4,X5))),X2),add(X5,multiply(X3,add(X4,X5))))) = add(X5,multiply(X3,add(X5,X4))),
inference(transitivity,[status(thm)],[c239,c245]) ).
cnf(c247,plain,
multiply(add(X3,X4),add(X4,multiply(X2,add(X3,X4)))) = add(X4,multiply(X2,add(X4,X3))),
inference(transitivity,[status(thm)],[c197,c246]) ).
cnf(c248,plain,
multiply(add(X3,X4),add(X4,multiply(X2,add(X4,X3)))) = add(X4,multiply(X2,add(X4,X3))),
inference(transitivity,[status(thm)],[c194,c247]) ).
cnf(c249,plain,
multiply(add(X4,X3),add(X4,multiply(X2,add(X4,X3)))) = add(X4,multiply(X2,add(X4,X3))),
inference(transitivity,[status(thm)],[c190,c248]) ).
cnf(c250,plain,
multiply(add(X4,X3),add(X4,multiply(add(X4,X3),X2))) = add(X4,multiply(X2,add(X4,X3))),
inference(transitivity,[status(thm)],[c188,c249]) ).
cnf(c251,plain,
multiply(add(X4,X2),add(X4,multiply(add(X4,X2),X3))) = add(X4,multiply(X3,add(X4,X2))),
inference(substitution,[status(thm)],[c250]) ).
cnf(c252,plain,
add(X4,multiply(X3,add(X4,X2))) = multiply(add(X4,X2),add(X4,multiply(add(X4,X2),X3))),
inference(symmetry,[status(thm)],[c251]) ).
cnf(c253,plain,
multiply(X3,multiply(X4,X2)) = multiply(multiply(X4,X2),X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c254,plain,
multiply(multiply(X4,X2),X3) = multiply(X4,multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c255,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c256,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c255]) ).
cnf(c257,plain,
multiply(X4,multiply(X2,X3)) = multiply(X4,multiply(X3,X2)),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
multiply(multiply(X4,X2),X3) = multiply(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c254,c257]) ).
cnf(c259,plain,
multiply(X3,multiply(X4,X2)) = multiply(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c253,c258]) ).
cnf(c260,plain,
multiply(X3,multiply(X2,inverse(X4))) = multiply(X2,multiply(X3,inverse(X4))),
inference(substitution,[status(thm)],[c259]) ).
cnf(c261,plain,
add(X4,multiply(X3,multiply(X2,inverse(X4)))) = add(X4,multiply(X2,multiply(X3,inverse(X4)))),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
multiply(multiply(X2,X3),inverse(X4)) = multiply(X2,multiply(X3,inverse(X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c263,plain,
multiply(X2,multiply(X3,inverse(X4))) = multiply(multiply(X2,X3),inverse(X4)),
inference(symmetry,[status(thm)],[c262]) ).
cnf(c264,plain,
add(X4,multiply(X2,multiply(X3,inverse(X4)))) = add(X4,multiply(multiply(X2,X3),inverse(X4))),
inference(congruence,[status(thm)],[c263]) ).
cnf(c265,plain,
add(multiply(X3,X4),X2) = add(multiply(X4,X3),X2),
inference(congruence,[status(thm)],[c114]) ).
cnf(c266,plain,
add(X4,add(multiply(X3,X4),X2)) = add(X4,add(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c265]) ).
cnf(c267,plain,
add(multiply(X4,X3),X2) = add(X2,multiply(X4,X3)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c268,plain,
add(X4,add(multiply(X4,X3),X2)) = add(X4,add(X2,multiply(X4,X3))),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
add(X3,multiply(X4,X2)) = add(multiply(X4,X2),X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c270,plain,
add(X4,add(X3,multiply(X4,X2))) = add(X4,add(multiply(X4,X2),X3)),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
add(add(X4,multiply(X4,X2)),X3) = add(X4,add(multiply(X4,X2),X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c272,plain,
add(X4,add(multiply(X4,X2),X3)) = add(add(X4,multiply(X4,X2)),X3),
inference(symmetry,[status(thm)],[c271]) ).
cnf(c273,plain,
add(add(X4,multiply(X4,X2)),X3) = add(X4,X3),
inference(congruence,[status(thm)],[c66]) ).
cnf(c274,plain,
add(X4,add(multiply(X4,X2),X3)) = add(X4,X3),
inference(transitivity,[status(thm)],[c272,c273]) ).
cnf(c275,plain,
add(X4,add(X3,multiply(X4,X2))) = add(X4,X3),
inference(transitivity,[status(thm)],[c270,c274]) ).
cnf(c276,plain,
add(X4,add(X2,multiply(X4,X3))) = add(X4,X2),
inference(substitution,[status(thm)],[c275]) ).
cnf(c277,plain,
add(X4,add(multiply(X4,X3),X2)) = add(X4,X2),
inference(transitivity,[status(thm)],[c268,c276]) ).
cnf(c278,plain,
add(X4,add(multiply(X3,X4),X2)) = add(X4,X2),
inference(transitivity,[status(thm)],[c266,c277]) ).
cnf(c279,plain,
add(X3,add(multiply(X2,X3),multiply(X2,inverse(X3)))) = add(X3,multiply(X2,inverse(X3))),
inference(substitution,[status(thm)],[c278]) ).
cnf(c280,plain,
add(X3,multiply(X2,inverse(X3))) = add(X3,add(multiply(X2,X3),multiply(X2,inverse(X3)))),
inference(symmetry,[status(thm)],[c279]) ).
cnf(c281,plain,
add(X3,inverse(X2)) = add(inverse(X2),X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c282,plain,
multiply(add(X3,X2),add(X3,inverse(X2))) = multiply(add(X3,X2),add(inverse(X2),X3)),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
multiply(add(X3,X2),add(inverse(X2),X3)) = multiply(add(inverse(X2),X3),add(X3,X2)),
inference(substitution,[status(thm)],[c114]) ).
cnf(c284,plain,
multiply(n1,multiply(add(inverse(X2),X3),add(X3,X2))) = multiply(add(inverse(X2),X3),add(X3,X2)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c285,plain,
multiply(add(inverse(X2),X3),add(X3,X2)) = multiply(n1,multiply(add(inverse(X2),X3),add(X3,X2))),
inference(symmetry,[status(thm)],[c284]) ).
cnf(c286,plain,
n1 = add(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c287,plain,
multiply(n1,multiply(add(inverse(X2),X3),add(X3,X2))) = multiply(add(X2,inverse(X2)),multiply(add(inverse(X2),X3),add(X3,X2))),
inference(congruence,[status(thm)],[c286]) ).
cnf(c288,plain,
add(multiply(X2,inverse(X2)),add(multiply(inverse(X2),X3),multiply(X3,X2))) = multiply(add(X2,inverse(X2)),multiply(add(inverse(X2),X3),add(X3,X2))),
inference(substitution,[status(thm)],[c72]) ).
cnf(c289,plain,
multiply(add(X2,inverse(X2)),multiply(add(inverse(X2),X3),add(X3,X2))) = add(multiply(X2,inverse(X2)),add(multiply(inverse(X2),X3),multiply(X3,X2))),
inference(symmetry,[status(thm)],[c288]) ).
cnf(c290,plain,
add(multiply(X2,inverse(X2)),add(multiply(inverse(X2),X3),multiply(X3,X2))) = add(n0,add(multiply(inverse(X2),X3),multiply(X3,X2))),
inference(congruence,[status(thm)],[c35]) ).
cnf(c291,plain,
add(n0,add(multiply(inverse(X2),X3),multiply(X3,X2))) = add(multiply(inverse(X2),X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c292,plain,
add(multiply(X3,X2),multiply(inverse(X2),X3)) = add(multiply(inverse(X2),X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c293,plain,
add(multiply(inverse(X2),X3),multiply(X3,X2)) = add(multiply(X3,X2),multiply(inverse(X2),X3)),
inference(symmetry,[status(thm)],[c292]) ).
cnf(c294,plain,
multiply(X3,inverse(X2)) = multiply(inverse(X2),X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c295,plain,
multiply(inverse(X2),X3) = multiply(X3,inverse(X2)),
inference(symmetry,[status(thm)],[c294]) ).
cnf(c296,plain,
add(multiply(X3,X2),multiply(inverse(X2),X3)) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
add(multiply(inverse(X2),X3),multiply(X3,X2)) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c293,c296]) ).
cnf(c298,plain,
add(n0,add(multiply(inverse(X2),X3),multiply(X3,X2))) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c291,c297]) ).
cnf(c299,plain,
add(multiply(X2,inverse(X2)),add(multiply(inverse(X2),X3),multiply(X3,X2))) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c290,c298]) ).
cnf(c300,plain,
multiply(add(X2,inverse(X2)),multiply(add(inverse(X2),X3),add(X3,X2))) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c289,c299]) ).
cnf(c301,plain,
multiply(n1,multiply(add(inverse(X2),X3),add(X3,X2))) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c287,c300]) ).
cnf(c302,plain,
multiply(add(inverse(X2),X3),add(X3,X2)) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c285,c301]) ).
cnf(c303,plain,
multiply(add(X3,X2),add(inverse(X2),X3)) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c283,c302]) ).
cnf(c304,plain,
multiply(add(X3,X2),add(X3,inverse(X2))) = add(multiply(X3,X2),multiply(X3,inverse(X2))),
inference(transitivity,[status(thm)],[c282,c303]) ).
cnf(c305,plain,
add(multiply(X3,X2),multiply(X3,inverse(X2))) = multiply(add(X3,X2),add(X3,inverse(X2))),
inference(symmetry,[status(thm)],[c304]) ).
cnf(c306,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c307,plain,
add(multiply(X4,X3),multiply(X4,add(X3,X2))) = add(multiply(X3,X4),multiply(X4,add(X3,X2))),
inference(congruence,[status(thm)],[c306]) ).
cnf(c308,plain,
add(multiply(X3,X4),multiply(X4,add(X3,X2))) = add(multiply(X4,add(X3,X2)),multiply(X3,X4)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c309,plain,
multiply(X3,multiply(X4,add(X3,X2))) = multiply(X3,X4),
inference(substitution,[status(thm)],[c132]) ).
cnf(c310,plain,
multiply(X3,X4) = multiply(X3,multiply(X4,add(X3,X2))),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
add(multiply(X4,add(X3,X2)),multiply(X3,X4)) = add(multiply(X4,add(X3,X2)),multiply(X3,multiply(X4,add(X3,X2)))),
inference(congruence,[status(thm)],[c310]) ).
cnf(c312,plain,
multiply(X4,add(X3,add(X4,X2))) = X4,
inference(substitution,[status(thm)],[c14]) ).
cnf(c313,plain,
X4 = multiply(X4,add(X3,add(X4,X2))),
inference(symmetry,[status(thm)],[c312]) ).
cnf(c314,plain,
multiply(X4,X5) = multiply(X4,multiply(X5,add(X3,add(X5,X2)))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
add(X5,multiply(X4,X5)) = add(X5,multiply(X4,multiply(X5,add(X3,add(X5,X2))))),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
add(X5,multiply(X4,multiply(X5,add(X3,add(X5,X2))))) = X5,
inference(substitution,[status(thm)],[c64]) ).
cnf(c317,plain,
add(X3,multiply(X2,X3)) = X3,
inference(transitivity,[status(thm)],[c315,c316]) ).
cnf(c318,plain,
add(multiply(X4,add(X3,X2)),multiply(X3,multiply(X4,add(X3,X2)))) = multiply(X4,add(X3,X2)),
inference(substitution,[status(thm)],[c317]) ).
cnf(c319,plain,
add(multiply(X4,add(X3,X2)),multiply(X3,X4)) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c311,c318]) ).
cnf(c320,plain,
add(multiply(X3,X4),multiply(X4,add(X3,X2))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c308,c319]) ).
cnf(c321,plain,
add(multiply(X4,X3),multiply(X4,add(X3,X2))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c307,c320]) ).
cnf(c322,plain,
add(multiply(add(X3,X2),X3),multiply(add(X3,X2),add(X3,inverse(X2)))) = multiply(add(X3,X2),add(X3,inverse(X2))),
inference(substitution,[status(thm)],[c321]) ).
cnf(c323,plain,
multiply(add(X3,X2),add(X3,inverse(X2))) = add(multiply(add(X3,X2),X3),multiply(add(X3,X2),add(X3,inverse(X2)))),
inference(symmetry,[status(thm)],[c322]) ).
cnf(c324,plain,
add(multiply(add(X3,X2),X3),multiply(add(X3,X2),add(X3,inverse(X2)))) = add(multiply(add(X3,X2),X3),add(multiply(X3,X2),multiply(X3,inverse(X2)))),
inference(congruence,[status(thm)],[c304]) ).
cnf(c325,plain,
add(multiply(add(X3,X2),X3),add(multiply(X3,X2),multiply(X3,inverse(X2)))) = add(X3,add(multiply(X3,X2),multiply(X3,inverse(X2)))),
inference(congruence,[status(thm)],[c110]) ).
cnf(c326,plain,
add(X3,add(multiply(X3,X2),multiply(X3,inverse(X2)))) = add(X3,multiply(X3,inverse(X2))),
inference(substitution,[status(thm)],[c277]) ).
cnf(c327,plain,
add(X3,multiply(X3,inverse(X2))) = X3,
inference(substitution,[status(thm)],[c66]) ).
cnf(c328,plain,
add(X3,add(multiply(X3,X2),multiply(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c326,c327]) ).
cnf(c329,plain,
add(multiply(add(X3,X2),X3),add(multiply(X3,X2),multiply(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c325,c328]) ).
cnf(c330,plain,
add(multiply(add(X3,X2),X3),multiply(add(X3,X2),add(X3,inverse(X2)))) = X3,
inference(transitivity,[status(thm)],[c324,c329]) ).
cnf(c331,plain,
multiply(add(X3,X2),add(X3,inverse(X2))) = X3,
inference(transitivity,[status(thm)],[c323,c330]) ).
cnf(c332,plain,
add(multiply(X3,X2),multiply(X3,inverse(X2))) = X3,
inference(transitivity,[status(thm)],[c305,c331]) ).
cnf(c333,plain,
add(multiply(X2,X3),multiply(X2,inverse(X3))) = X2,
inference(substitution,[status(thm)],[c332]) ).
cnf(c334,plain,
add(X3,add(multiply(X2,X3),multiply(X2,inverse(X3)))) = add(X3,X2),
inference(congruence,[status(thm)],[c333]) ).
cnf(c335,plain,
add(X3,multiply(X2,inverse(X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c280,c334]) ).
cnf(c336,plain,
add(X4,multiply(multiply(X2,X3),inverse(X4))) = add(X4,multiply(X2,X3)),
inference(substitution,[status(thm)],[c335]) ).
cnf(c337,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c338,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c337]) ).
cnf(c339,plain,
add(X4,multiply(X2,X3)) = add(X4,multiply(X3,X2)),
inference(congruence,[status(thm)],[c338]) ).
cnf(c340,plain,
add(X4,multiply(multiply(X2,X3),inverse(X4))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c336,c339]) ).
cnf(c341,plain,
add(X4,multiply(X2,multiply(X3,inverse(X4)))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c264,c340]) ).
cnf(c342,plain,
add(X4,multiply(X3,multiply(X2,inverse(X4)))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c261,c341]) ).
cnf(c343,plain,
add(X4,multiply(add(X4,X2),multiply(X3,inverse(X4)))) = add(X4,multiply(add(X4,X2),X3)),
inference(substitution,[status(thm)],[c342]) ).
cnf(c344,plain,
add(X4,multiply(add(X4,X2),X3)) = add(X4,multiply(add(X4,X2),multiply(X3,inverse(X4)))),
inference(symmetry,[status(thm)],[c343]) ).
cnf(c345,plain,
multiply(add(X4,X2),add(X4,multiply(add(X4,X2),X3))) = multiply(add(X4,X2),add(X4,multiply(add(X4,X2),multiply(X3,inverse(X4))))),
inference(congruence,[status(thm)],[c344]) ).
cnf(c346,plain,
multiply(add(X4,X2),add(X4,multiply(add(X4,X2),multiply(X3,inverse(X4))))) = add(X4,multiply(multiply(X3,inverse(X4)),add(X4,X2))),
inference(substitution,[status(thm)],[c250]) ).
cnf(c347,plain,
multiply(multiply(X3,inverse(X4)),add(X4,X2)) = multiply(X3,multiply(inverse(X4),add(X4,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c348,plain,
add(X4,multiply(multiply(X3,inverse(X4)),add(X4,X2))) = add(X4,multiply(X3,multiply(inverse(X4),add(X4,X2)))),
inference(congruence,[status(thm)],[c347]) ).
cnf(c349,plain,
multiply(add(X3,inverse(inverse(X3))),multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))) = inverse(inverse(X3)),
inference(substitution,[status(thm)],[c106]) ).
cnf(c350,plain,
inverse(inverse(X3)) = multiply(add(X3,inverse(inverse(X3))),multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))),
inference(symmetry,[status(thm)],[c349]) ).
cnf(c351,plain,
add(X2,add(X2,inverse(inverse(X2)))) = add(X2,inverse(inverse(X2))),
inference(substitution,[status(thm)],[c220]) ).
cnf(c352,plain,
add(X2,inverse(inverse(X2))) = add(X2,add(X2,inverse(inverse(X2)))),
inference(symmetry,[status(thm)],[c351]) ).
cnf(c353,plain,
add(n0,multiply(X2,inverse(inverse(X2)))) = multiply(X2,inverse(inverse(X2))),
inference(substitution,[status(thm)],[c40]) ).
cnf(c354,plain,
multiply(X2,inverse(inverse(X2))) = add(n0,multiply(X2,inverse(inverse(X2)))),
inference(symmetry,[status(thm)],[c353]) ).
cnf(c355,plain,
n0 = multiply(X2,inverse(X2)),
inference(symmetry,[status(thm)],[c35]) ).
cnf(c356,plain,
add(n0,multiply(X2,inverse(inverse(X2)))) = add(multiply(X2,inverse(X2)),multiply(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c355]) ).
cnf(c357,plain,
multiply(add(X2,inverse(X2)),add(X2,inverse(inverse(X2)))) = add(multiply(X2,inverse(X2)),multiply(X2,inverse(inverse(X2)))),
inference(substitution,[status(thm)],[c304]) ).
cnf(c358,plain,
add(multiply(X2,inverse(X2)),multiply(X2,inverse(inverse(X2)))) = multiply(add(X2,inverse(X2)),add(X2,inverse(inverse(X2)))),
inference(symmetry,[status(thm)],[c357]) ).
cnf(c359,plain,
multiply(add(X2,inverse(X2)),add(X2,inverse(inverse(X2)))) = multiply(n1,add(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c360,plain,
multiply(n1,add(X2,inverse(inverse(X2)))) = add(X2,inverse(inverse(X2))),
inference(substitution,[status(thm)],[c28]) ).
cnf(c361,plain,
multiply(add(X2,inverse(X2)),add(X2,inverse(inverse(X2)))) = add(X2,inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c359,c360]) ).
cnf(c362,plain,
add(multiply(X2,inverse(X2)),multiply(X2,inverse(inverse(X2)))) = add(X2,inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c358,c361]) ).
cnf(c363,plain,
add(n0,multiply(X2,inverse(inverse(X2)))) = add(X2,inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c356,c362]) ).
cnf(c364,plain,
multiply(X2,inverse(inverse(X2))) = add(X2,inverse(inverse(X2))),
inference(transitivity,[status(thm)],[c354,c363]) ).
cnf(c365,plain,
add(X2,inverse(inverse(X2))) = multiply(X2,inverse(inverse(X2))),
inference(symmetry,[status(thm)],[c364]) ).
cnf(c366,plain,
add(X2,add(X2,inverse(inverse(X2)))) = add(X2,multiply(X2,inverse(inverse(X2)))),
inference(congruence,[status(thm)],[c365]) ).
cnf(c367,plain,
add(X2,multiply(X2,inverse(inverse(X2)))) = X2,
inference(substitution,[status(thm)],[c66]) ).
cnf(c368,plain,
add(X2,add(X2,inverse(inverse(X2)))) = X2,
inference(transitivity,[status(thm)],[c366,c367]) ).
cnf(c369,plain,
add(X2,inverse(inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c352,c368]) ).
cnf(c370,plain,
multiply(add(X3,inverse(inverse(X3))),multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))) = multiply(X3,multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))),
inference(congruence,[status(thm)],[c369]) ).
cnf(c371,plain,
multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3))) = inverse(inverse(X3)),
inference(substitution,[status(thm)],[c110]) ).
cnf(c372,plain,
multiply(X3,multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))) = multiply(X3,inverse(inverse(X3))),
inference(congruence,[status(thm)],[c371]) ).
cnf(c373,plain,
multiply(X2,inverse(inverse(X2))) = X2,
inference(transitivity,[status(thm)],[c364,c369]) ).
cnf(c374,plain,
multiply(X3,multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))) = X3,
inference(transitivity,[status(thm)],[c372,c373]) ).
cnf(c375,plain,
multiply(add(X3,inverse(inverse(X3))),multiply(add(inverse(inverse(X3)),X2),inverse(inverse(X3)))) = X3,
inference(transitivity,[status(thm)],[c370,c374]) ).
cnf(c376,plain,
inverse(inverse(X2)) = X2,
inference(transitivity,[status(thm)],[c350,c375]) ).
cnf(c377,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c376]) ).
cnf(c378,plain,
add(X3,X2) = add(inverse(inverse(X3)),X2),
inference(congruence,[status(thm)],[c377]) ).
cnf(c379,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(inverse(X3),add(inverse(inverse(X3)),X2)),
inference(congruence,[status(thm)],[c378]) ).
cnf(c380,plain,
add(inverse(X3),X2) = add(X2,inverse(X3)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c381,plain,
multiply(X3,add(inverse(X3),X2)) = multiply(X3,add(X2,inverse(X3))),
inference(congruence,[status(thm)],[c380]) ).
cnf(c382,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c383,plain,
add(inverse(X3),multiply(X3,X2)) = add(inverse(X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c382]) ).
cnf(c384,plain,
add(X3,multiply(X2,X4)) = add(X3,multiply(X4,X2)),
inference(congruence,[status(thm)],[c114]) ).
cnf(c385,plain,
add(X4,add(X3,multiply(X2,X4))) = add(X4,add(X3,multiply(X4,X2))),
inference(congruence,[status(thm)],[c384]) ).
cnf(c386,plain,
add(X4,add(X3,multiply(X2,X4))) = add(X4,X3),
inference(transitivity,[status(thm)],[c385,c275]) ).
cnf(c387,plain,
add(inverse(X3),add(multiply(X2,X3),multiply(X2,inverse(X3)))) = add(inverse(X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c386]) ).
cnf(c388,plain,
add(inverse(X3),multiply(X2,X3)) = add(inverse(X3),add(multiply(X2,X3),multiply(X2,inverse(X3)))),
inference(symmetry,[status(thm)],[c387]) ).
cnf(c389,plain,
add(multiply(X2,X3),multiply(X2,inverse(X3))) = X2,
inference(substitution,[status(thm)],[c332]) ).
cnf(c390,plain,
add(inverse(X3),add(multiply(X2,X3),multiply(X2,inverse(X3)))) = add(inverse(X3),X2),
inference(congruence,[status(thm)],[c389]) ).
cnf(c391,plain,
add(X2,inverse(X3)) = add(inverse(X3),X2),
inference(substitution,[status(thm)],[c94]) ).
cnf(c392,plain,
add(inverse(X3),X2) = add(X2,inverse(X3)),
inference(symmetry,[status(thm)],[c391]) ).
cnf(c393,plain,
add(inverse(X3),add(multiply(X2,X3),multiply(X2,inverse(X3)))) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c390,c392]) ).
cnf(c394,plain,
add(inverse(X3),multiply(X2,X3)) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c388,c393]) ).
cnf(c395,plain,
add(inverse(X3),multiply(X3,X2)) = add(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c383,c394]) ).
cnf(c396,plain,
add(X2,inverse(X3)) = add(inverse(X3),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c395]) ).
cnf(c397,plain,
multiply(X3,add(X2,inverse(X3))) = multiply(X3,add(inverse(X3),multiply(X3,X2))),
inference(congruence,[status(thm)],[c396]) ).
cnf(c398,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c399,plain,
add(inverse(X3),multiply(X3,X2)) = add(inverse(X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c398]) ).
cnf(c400,plain,
multiply(X3,add(inverse(X3),multiply(X3,X2))) = multiply(X3,add(inverse(X3),multiply(X2,X3))),
inference(congruence,[status(thm)],[c399]) ).
cnf(c401,plain,
add(inverse(X3),multiply(X2,X3)) = add(multiply(X2,X3),inverse(X3)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c402,plain,
multiply(X3,add(inverse(X3),multiply(X2,X3))) = multiply(X3,add(multiply(X2,X3),inverse(X3))),
inference(congruence,[status(thm)],[c401]) ).
cnf(c403,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c404,plain,
X4 = add(multiply(X3,X4),add(multiply(X4,X2),X4)),
inference(symmetry,[status(thm)],[c403]) ).
cnf(c405,plain,
inverse(X4) = inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))),
inference(congruence,[status(thm)],[c404]) ).
cnf(c406,plain,
add(multiply(X3,X4),inverse(X4)) = add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4)))),
inference(congruence,[status(thm)],[c405]) ).
cnf(c407,plain,
multiply(X4,add(multiply(X3,X4),inverse(X4))) = multiply(X4,add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))),
inference(congruence,[status(thm)],[c406]) ).
cnf(c408,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c409,plain,
X4 = add(multiply(X3,X4),add(multiply(X4,X2),X4)),
inference(symmetry,[status(thm)],[c408]) ).
cnf(c410,plain,
multiply(X4,add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
add(X3,X2) = add(X3,add(X3,X2)),
inference(symmetry,[status(thm)],[c220]) ).
cnf(c412,plain,
multiply(add(X3,X2),add(X3,inverse(add(X3,X2)))) = multiply(add(X3,add(X3,X2)),add(X3,inverse(add(X3,X2)))),
inference(congruence,[status(thm)],[c411]) ).
cnf(c413,plain,
multiply(add(X3,add(X3,X2)),add(X3,inverse(add(X3,X2)))) = add(multiply(X3,add(X3,X2)),multiply(X3,inverse(add(X3,X2)))),
inference(substitution,[status(thm)],[c304]) ).
cnf(c414,plain,
add(multiply(X3,add(X3,X2)),multiply(X3,inverse(add(X3,X2)))) = add(X3,multiply(X3,inverse(add(X3,X2)))),
inference(congruence,[status(thm)],[c129]) ).
cnf(c415,plain,
add(X3,multiply(X3,inverse(add(X3,X2)))) = X3,
inference(substitution,[status(thm)],[c66]) ).
cnf(c416,plain,
add(multiply(X3,add(X3,X2)),multiply(X3,inverse(add(X3,X2)))) = X3,
inference(transitivity,[status(thm)],[c414,c415]) ).
cnf(c417,plain,
multiply(add(X3,add(X3,X2)),add(X3,inverse(add(X3,X2)))) = X3,
inference(transitivity,[status(thm)],[c413,c416]) ).
cnf(c418,plain,
multiply(add(X3,X2),add(X3,inverse(add(X3,X2)))) = X3,
inference(transitivity,[status(thm)],[c412,c417]) ).
cnf(c419,plain,
multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(X3,X4),
inference(substitution,[status(thm)],[c418]) ).
cnf(c420,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c421,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c420]) ).
cnf(c422,plain,
multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c419,c421]) ).
cnf(c423,plain,
multiply(X4,add(multiply(X3,X4),inverse(add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c410,c422]) ).
cnf(c424,plain,
multiply(X3,add(multiply(X2,X3),inverse(X3))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c407,c423]) ).
cnf(c425,plain,
multiply(X3,add(inverse(X3),multiply(X2,X3))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c402,c424]) ).
cnf(c426,plain,
multiply(X3,add(inverse(X3),multiply(X3,X2))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c400,c425]) ).
cnf(c427,plain,
multiply(X3,add(X2,inverse(X3))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c397,c426]) ).
cnf(c428,plain,
multiply(X3,add(inverse(X3),X2)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c381,c427]) ).
cnf(c429,plain,
multiply(inverse(X3),add(inverse(inverse(X3)),X2)) = multiply(inverse(X3),X2),
inference(substitution,[status(thm)],[c428]) ).
cnf(c430,plain,
multiply(X2,inverse(X3)) = multiply(inverse(X3),X2),
inference(substitution,[status(thm)],[c114]) ).
cnf(c431,plain,
multiply(inverse(X3),X2) = multiply(X2,inverse(X3)),
inference(symmetry,[status(thm)],[c430]) ).
cnf(c432,plain,
multiply(inverse(X3),add(inverse(inverse(X3)),X2)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c429,c431]) ).
cnf(c433,plain,
multiply(inverse(X3),add(X3,X2)) = multiply(X2,inverse(X3)),
inference(transitivity,[status(thm)],[c379,c432]) ).
cnf(c434,plain,
multiply(X3,multiply(inverse(X4),add(X4,X2))) = multiply(X3,multiply(X2,inverse(X4))),
inference(congruence,[status(thm)],[c433]) ).
cnf(c435,plain,
add(X4,multiply(X3,multiply(inverse(X4),add(X4,X2)))) = add(X4,multiply(X3,multiply(X2,inverse(X4)))),
inference(congruence,[status(thm)],[c434]) ).
cnf(c436,plain,
add(X4,multiply(X3,multiply(inverse(X4),add(X4,X2)))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c435,c342]) ).
cnf(c437,plain,
add(X4,multiply(multiply(X3,inverse(X4)),add(X4,X2))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c348,c436]) ).
cnf(c438,plain,
multiply(add(X4,X2),add(X4,multiply(add(X4,X2),multiply(X3,inverse(X4))))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c346,c437]) ).
cnf(c439,plain,
multiply(add(X4,X2),add(X4,multiply(add(X4,X2),X3))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c345,c438]) ).
cnf(c440,plain,
add(X4,multiply(X3,add(X4,X2))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c252,c439]) ).
cnf(c441,plain,
add(X4,multiply(X2,add(X4,X3))) = add(X4,multiply(X2,X3)),
inference(substitution,[status(thm)],[c440]) ).
cnf(c442,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c443,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c442]) ).
cnf(c444,plain,
add(X4,multiply(X2,X3)) = add(X4,multiply(X3,X2)),
inference(congruence,[status(thm)],[c443]) ).
cnf(c445,plain,
add(X4,multiply(X2,add(X4,X3))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c441,c444]) ).
cnf(c446,plain,
add(X4,multiply(add(X4,X3),X2)) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c185,c445]) ).
cnf(c447,plain,
add(X3,multiply(add(X3,X2),add(X4,X3))) = add(X3,multiply(X2,add(X4,X3))),
inference(substitution,[status(thm)],[c446]) ).
cnf(c448,plain,
multiply(X3,add(X2,X4)) = multiply(X3,add(X4,X2)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c449,plain,
add(X4,multiply(X3,add(X2,X4))) = add(X4,multiply(X3,add(X4,X2))),
inference(congruence,[status(thm)],[c448]) ).
cnf(c450,plain,
add(X4,multiply(X3,add(X2,X4))) = add(X4,multiply(X3,X2)),
inference(transitivity,[status(thm)],[c449,c440]) ).
cnf(c451,plain,
add(X3,multiply(X2,add(X4,X3))) = add(X3,multiply(X2,X4)),
inference(substitution,[status(thm)],[c450]) ).
cnf(c452,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c453,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c452]) ).
cnf(c454,plain,
add(X3,multiply(X2,X4)) = add(X3,multiply(X4,X2)),
inference(congruence,[status(thm)],[c453]) ).
cnf(c455,plain,
add(X3,multiply(X2,add(X4,X3))) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c451,c454]) ).
cnf(c456,plain,
add(X3,multiply(add(X3,X2),add(X4,X3))) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c447,c455]) ).
cnf(c457,plain,
add(X3,multiply(add(X2,X3),add(X4,X3))) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c183,c456]) ).
cnf(c458,plain,
multiply(add(X2,X3),add(X3,X4)) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c179,c457]) ).
cnf(c459,plain,
multiply(add(X3,X4),add(X2,X3)) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c142,c458]) ).
cnf(c460,plain,
multiply(add(X4,X3),add(X2,X3)) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c141,c459]) ).
cnf(c461,plain,
multiply(add(X4,X3),add(X3,X2)) = add(X3,multiply(X4,X2)),
inference(transitivity,[status(thm)],[c139,c460]) ).
cnf(c462,plain,
multiply(add(X4,multiply(X2,X3)),add(multiply(X2,X3),multiply(add(X4,multiply(X2,X3)),X3))) = add(multiply(X2,X3),multiply(X4,multiply(add(X4,multiply(X2,X3)),X3))),
inference(substitution,[status(thm)],[c461]) ).
cnf(c463,plain,
add(multiply(X2,X3),multiply(X4,multiply(add(X4,multiply(X2,X3)),X3))) = multiply(add(X4,multiply(X2,X3)),add(multiply(X2,X3),multiply(add(X4,multiply(X2,X3)),X3))),
inference(symmetry,[status(thm)],[c462]) ).
cnf(c464,plain,
add(multiply(X3,X2),multiply(X4,X2)) = add(multiply(X4,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c465,plain,
multiply(X4,add(multiply(X3,X2),multiply(X4,X2))) = multiply(X4,add(multiply(X4,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c464]) ).
cnf(c466,plain,
add(multiply(X4,X3),multiply(X2,X3)) = add(multiply(X2,X3),multiply(X4,X3)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c467,plain,
multiply(X4,add(multiply(X4,X3),multiply(X2,X3))) = multiply(X4,add(multiply(X2,X3),multiply(X4,X3))),
inference(congruence,[status(thm)],[c466]) ).
cnf(c468,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c469,plain,
X4 = add(multiply(X3,X4),add(multiply(X4,X2),X4)),
inference(symmetry,[status(thm)],[c468]) ).
cnf(c470,plain,
multiply(X5,X4) = multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))),
inference(congruence,[status(thm)],[c469]) ).
cnf(c471,plain,
add(multiply(X3,X4),multiply(X5,X4)) = add(multiply(X3,X4),multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4)))),
inference(congruence,[status(thm)],[c470]) ).
cnf(c472,plain,
multiply(X5,add(multiply(X3,X4),multiply(X5,X4))) = multiply(X5,add(multiply(X3,X4),multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))))),
inference(congruence,[status(thm)],[c471]) ).
cnf(c473,plain,
multiply(add(X3,X2),add(X3,multiply(X4,add(X3,X2)))) = add(X3,multiply(X4,add(X3,X2))),
inference(substitution,[status(thm)],[c249]) ).
cnf(c474,plain,
add(X3,multiply(X4,add(X3,X2))) = multiply(add(X3,X2),add(X3,multiply(X4,add(X3,X2)))),
inference(symmetry,[status(thm)],[c473]) ).
cnf(c475,plain,
multiply(X4,add(X3,multiply(X4,add(X3,X2)))) = multiply(X4,multiply(add(X3,X2),add(X3,multiply(X4,add(X3,X2))))),
inference(congruence,[status(thm)],[c474]) ).
cnf(c476,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c477,plain,
add(X2,multiply(X4,X3)) = add(X2,multiply(X3,X4)),
inference(congruence,[status(thm)],[c476]) ).
cnf(c478,plain,
multiply(X3,add(X2,multiply(X4,X3))) = multiply(X3,add(X2,multiply(X3,X4))),
inference(congruence,[status(thm)],[c477]) ).
cnf(c479,plain,
multiply(X4,multiply(X3,add(X2,multiply(X4,X3)))) = multiply(X4,multiply(X3,add(X2,multiply(X3,X4)))),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
multiply(X3,add(X2,multiply(X3,X4))) = multiply(add(X2,multiply(X3,X4)),X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c481,plain,
multiply(X4,multiply(X3,add(X2,multiply(X3,X4)))) = multiply(X4,multiply(add(X2,multiply(X3,X4)),X3)),
inference(congruence,[status(thm)],[c480]) ).
cnf(c482,plain,
multiply(X4,multiply(add(X2,multiply(X3,X4)),X3)) = multiply(add(X2,multiply(X3,X4)),multiply(X4,X3)),
inference(substitution,[status(thm)],[c259]) ).
cnf(c483,plain,
multiply(X3,X2) = multiply(X3,multiply(X2,X3)),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c484,plain,
multiply(add(X2,multiply(X3,X4)),multiply(X4,X3)) = multiply(add(X2,multiply(X3,X4)),multiply(X4,multiply(X3,X4))),
inference(congruence,[status(thm)],[c483]) ).
cnf(c485,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c486,plain,
X4 = add(multiply(X3,X4),add(multiply(X4,X2),X4)),
inference(symmetry,[status(thm)],[c485]) ).
cnf(c487,plain,
multiply(X4,multiply(X3,X4)) = multiply(add(multiply(X3,X4),add(multiply(X4,X2),X4)),multiply(X3,X4)),
inference(congruence,[status(thm)],[c486]) ).
cnf(c488,plain,
multiply(add(X3,multiply(X4,X5)),multiply(X5,multiply(X4,X5))) = multiply(add(X3,multiply(X4,X5)),multiply(add(multiply(X4,X5),add(multiply(X5,X2),X5)),multiply(X4,X5))),
inference(congruence,[status(thm)],[c487]) ).
cnf(c489,plain,
multiply(add(X3,multiply(X4,X5)),multiply(add(multiply(X4,X5),add(multiply(X5,X2),X5)),multiply(X4,X5))) = multiply(X4,X5),
inference(substitution,[status(thm)],[c106]) ).
cnf(c490,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c491,plain,
multiply(X2,X3) = multiply(X3,X2),
inference(symmetry,[status(thm)],[c490]) ).
cnf(c492,plain,
multiply(add(X3,multiply(X4,X5)),multiply(add(multiply(X4,X5),add(multiply(X5,X2),X5)),multiply(X4,X5))) = multiply(X5,X4),
inference(transitivity,[status(thm)],[c489,c491]) ).
cnf(c493,plain,
multiply(add(X2,multiply(X3,X4)),multiply(X4,multiply(X3,X4))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c488,c492]) ).
cnf(c494,plain,
multiply(add(X2,multiply(X3,X4)),multiply(X4,X3)) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c484,c493]) ).
cnf(c495,plain,
multiply(X4,multiply(add(X2,multiply(X3,X4)),X3)) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c482,c494]) ).
cnf(c496,plain,
multiply(X4,multiply(X3,add(X2,multiply(X3,X4)))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c481,c495]) ).
cnf(c497,plain,
multiply(X4,multiply(X3,add(X2,multiply(X4,X3)))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c479,c496]) ).
cnf(c498,plain,
multiply(X4,multiply(add(X3,X2),add(X3,multiply(X4,add(X3,X2))))) = multiply(X4,add(X3,X2)),
inference(substitution,[status(thm)],[c497]) ).
cnf(c499,plain,
multiply(X4,add(X3,multiply(X4,add(X3,X2)))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c475,c498]) ).
cnf(c500,plain,
multiply(X5,add(multiply(X3,X4),multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))),
inference(substitution,[status(thm)],[c499]) ).
cnf(c501,plain,
add(multiply(X3,X4),add(multiply(X4,X2),X4)) = X4,
inference(substitution,[status(thm)],[c10]) ).
cnf(c502,plain,
multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))) = multiply(X5,X4),
inference(congruence,[status(thm)],[c501]) ).
cnf(c503,plain,
multiply(X5,add(multiply(X3,X4),multiply(X5,add(multiply(X3,X4),add(multiply(X4,X2),X4))))) = multiply(X5,X4),
inference(transitivity,[status(thm)],[c500,c502]) ).
cnf(c504,plain,
multiply(X4,add(multiply(X2,X3),multiply(X4,X3))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c472,c503]) ).
cnf(c505,plain,
multiply(X4,add(multiply(X4,X3),multiply(X2,X3))) = multiply(X4,X3),
inference(transitivity,[status(thm)],[c467,c504]) ).
cnf(c506,plain,
multiply(X4,add(multiply(X4,X2),multiply(X3,X2))) = multiply(X4,X2),
inference(substitution,[status(thm)],[c505]) ).
cnf(c507,plain,
multiply(X4,add(multiply(X3,X2),multiply(X4,X2))) = multiply(X4,X2),
inference(transitivity,[status(thm)],[c465,c506]) ).
cnf(c508,plain,
multiply(add(X4,multiply(X2,X3)),add(multiply(X2,X3),multiply(add(X4,multiply(X2,X3)),X3))) = multiply(add(X4,multiply(X2,X3)),X3),
inference(substitution,[status(thm)],[c507]) ).
cnf(c509,plain,
multiply(X3,add(X4,multiply(X2,X3))) = multiply(add(X4,multiply(X2,X3)),X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c510,plain,
multiply(add(X4,multiply(X2,X3)),X3) = multiply(X3,add(X4,multiply(X2,X3))),
inference(symmetry,[status(thm)],[c509]) ).
cnf(c511,plain,
add(X3,multiply(X2,X4)) = add(X3,multiply(X4,X2)),
inference(congruence,[status(thm)],[c114]) ).
cnf(c512,plain,
multiply(X4,add(X3,multiply(X2,X4))) = multiply(X4,add(X3,multiply(X4,X2))),
inference(congruence,[status(thm)],[c511]) ).
cnf(c513,plain,
multiply(X3,X2) = multiply(X2,X3),
inference(substitution,[status(thm)],[c114]) ).
cnf(c514,plain,
add(X3,multiply(X4,X2)) = add(X3,multiply(X2,X4)),
inference(congruence,[status(thm)],[c513]) ).
cnf(c515,plain,
multiply(X4,add(X3,multiply(X4,X2))) = multiply(X4,add(X3,multiply(X2,X4))),
inference(congruence,[status(thm)],[c514]) ).
cnf(c516,plain,
X2 = inverse(inverse(X2)),
inference(symmetry,[status(thm)],[c376]) ).
cnf(c517,plain,
multiply(X2,X3) = multiply(X2,inverse(inverse(X3))),
inference(congruence,[status(thm)],[c516]) ).
cnf(c518,plain,
add(X3,multiply(X2,X4)) = add(X3,multiply(X2,inverse(inverse(X4)))),
inference(congruence,[status(thm)],[c517]) ).
cnf(c519,plain,
multiply(X4,add(X3,multiply(X2,X4))) = multiply(X4,add(X3,multiply(X2,inverse(inverse(X4))))),
inference(congruence,[status(thm)],[c518]) ).
cnf(c520,plain,
multiply(X4,add(inverse(X4),add(X3,multiply(X2,inverse(inverse(X4)))))) = multiply(X4,add(X3,multiply(X2,inverse(inverse(X4))))),
inference(substitution,[status(thm)],[c428]) ).
cnf(c521,plain,
multiply(X4,add(X3,multiply(X2,inverse(inverse(X4))))) = multiply(X4,add(inverse(X4),add(X3,multiply(X2,inverse(inverse(X4)))))),
inference(symmetry,[status(thm)],[c520]) ).
cnf(c522,plain,
add(X3,multiply(X2,inverse(X4))) = add(multiply(X2,inverse(X4)),X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c523,plain,
add(X4,add(X3,multiply(X2,inverse(X4)))) = add(X4,add(multiply(X2,inverse(X4)),X3)),
inference(congruence,[status(thm)],[c522]) ).
cnf(c524,plain,
add(add(X4,multiply(X2,inverse(X4))),X3) = add(X4,add(multiply(X2,inverse(X4)),X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c525,plain,
add(X4,add(multiply(X2,inverse(X4)),X3)) = add(add(X4,multiply(X2,inverse(X4))),X3),
inference(symmetry,[status(thm)],[c524]) ).
cnf(c526,plain,
add(add(X4,multiply(X2,inverse(X4))),X3) = add(add(X4,X2),X3),
inference(congruence,[status(thm)],[c335]) ).
cnf(c527,plain,
add(add(X4,X2),X3) = add(X4,add(X2,X3)),
inference(substitution,[status(thm)],[c5]) ).
cnf(c528,plain,
add(add(X4,multiply(X2,inverse(X4))),X3) = add(X4,add(X2,X3)),
inference(transitivity,[status(thm)],[c526,c527]) ).
cnf(c529,plain,
add(X4,add(multiply(X2,inverse(X4)),X3)) = add(X4,add(X2,X3)),
inference(transitivity,[status(thm)],[c525,c528]) ).
cnf(c530,plain,
add(X4,add(X3,multiply(X2,inverse(X4)))) = add(X4,add(X2,X3)),
inference(transitivity,[status(thm)],[c523,c529]) ).
cnf(c531,plain,
add(inverse(X4),add(X3,multiply(X2,inverse(inverse(X4))))) = add(inverse(X4),add(X2,X3)),
inference(substitution,[status(thm)],[c530]) ).
cnf(c532,plain,
multiply(X4,add(inverse(X4),add(X3,multiply(X2,inverse(inverse(X4)))))) = multiply(X4,add(inverse(X4),add(X2,X3))),
inference(congruence,[status(thm)],[c531]) ).
cnf(c533,plain,
multiply(X4,add(inverse(X4),add(X2,X3))) = multiply(X4,add(X2,X3)),
inference(substitution,[status(thm)],[c428]) ).
cnf(c534,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c94]) ).
cnf(c535,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c534]) ).
cnf(c536,plain,
multiply(X4,add(X2,X3)) = multiply(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c535]) ).
cnf(c537,plain,
multiply(X4,add(inverse(X4),add(X2,X3))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c533,c536]) ).
cnf(c538,plain,
multiply(X4,add(inverse(X4),add(X3,multiply(X2,inverse(inverse(X4)))))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c532,c537]) ).
cnf(c539,plain,
multiply(X4,add(X3,multiply(X2,inverse(inverse(X4))))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c521,c538]) ).
cnf(c540,plain,
multiply(X4,add(X3,multiply(X2,X4))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c519,c539]) ).
cnf(c541,plain,
multiply(X4,add(X3,multiply(X4,X2))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c515,c540]) ).
cnf(c542,plain,
multiply(X4,add(X3,multiply(X2,X4))) = multiply(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c512,c541]) ).
cnf(c543,plain,
multiply(X3,add(X4,multiply(X2,X3))) = multiply(X3,add(X4,X2)),
inference(substitution,[status(thm)],[c542]) ).
cnf(c544,plain,
multiply(add(X4,multiply(X2,X3)),X3) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c510,c543]) ).
cnf(c545,plain,
multiply(add(X4,multiply(X2,X3)),add(multiply(X2,X3),multiply(add(X4,multiply(X2,X3)),X3))) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c508,c544]) ).
cnf(c546,plain,
add(multiply(X2,X3),multiply(X4,multiply(add(X4,multiply(X2,X3)),X3))) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c463,c545]) ).
cnf(c547,plain,
add(multiply(X2,X3),multiply(X4,X3)) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c137,c546]) ).
cnf(c548,plain,
add(multiply(X4,X3),multiply(X2,X3)) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c118,c547]) ).
cnf(c549,plain,
add(multiply(X4,X3),multiply(X3,X2)) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c117,c548]) ).
cnf(c550,plain,
add(multiply(X4,X3),multiply(X2,X3)) = multiply(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c115,c549]) ).
cnf(c551,plain,
add(multiply(b,a),multiply(c,a)) = multiply(a,add(b,c)),
inference(substitution,[status(thm)],[c550]) ).
cnf(c552,plain,
multiply(a,add(b,c)) = add(multiply(b,a),multiply(c,a)),
inference(symmetry,[status(thm)],[c551]) ).
cnf(c553,plain,
$false,
inference(resolution,[status(thm)],[c1,c552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : BOO031-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.20 % Computer : n016.cluster.edu
% 0.14/0.20 % Model : x86_64 x86_64
% 0.14/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.20 % Memory : 8046.5625MB
% 0.14/0.20 % OS : Linux 6.8.0-71-generic
% 0.14/0.20 % CPULimit : 300
% 0.14/0.20 % WCLimit : 300
% 0.14/0.20 % DateTime : Mon Sep 28 21:09:48 UTC 2026
% 0.14/0.20 % CPUTime :
% 0.14/0.20 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.72/2.13 Command-line arguments: --no-flatten-goal
% 14.72/2.13
% 14.72/2.13 % SZS status Unsatisfiable
% 14.72/2.13
% 14.72/2.17 % SZS output start CNFRefutation
% See solution above
% 16.87/2.47
% 16.87/2.47 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------