%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:33:47 PM UTC 2026
% Result : Unsatisfiable 2.29s 0.55s
% Output : CNFRefutation 11.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 215
% Number of leaves : 35
% Syntax : Number of clauses : 1133 (1133 unt; 0 nHn;1047 RR)
% Number of literals : 1133 (1132 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 32 con; 0-31 aty)
% Number of variables : 92 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) != tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
product(X,X) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle) ).
cnf(c3,plain,
product(a25,a25) = a25,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
a25 = product(a25,a25),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
product(a22,a31) = a23,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
a23 = product(a22,a31),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
product(a23,a31) = product(product(a22,a31),a31),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,axiom,
product(product(X2,Y),Y) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(c9,plain,
product(product(a22,a31),a31) = a22,
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
product(a23,a31) = a22,
inference(transitivity,[status(thm)],[c7,c9]) ).
cnf(c11,plain,
a22 = product(a23,a31),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c12,plain,
product(a31,a22) = product(a31,product(a23,a31)),
inference(congruence,[status(thm)],[c11]) ).
cnf(c13,axiom,
product(product(X2,Y2),Z) = product(product(X2,Z),product(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(c14,plain,
product(product(X3,X2),X3) = product(product(X3,X3),product(X2,X3)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c15,plain,
product(product(X3,X3),product(X2,X3)) = product(X3,product(X2,X3)),
inference(congruence,[status(thm)],[c2]) ).
cnf(c16,plain,
product(product(X3,X2),X3) = product(X3,product(X2,X3)),
inference(transitivity,[status(thm)],[c14,c15]) ).
cnf(c17,plain,
product(product(a31,a23),a31) = product(a31,product(a23,a31)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
product(a31,product(a23,a31)) = product(product(a31,a23),a31),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,axiom,
product(a30,a23) = a31,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c20,plain,
a31 = product(a30,a23),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
product(a31,a23) = product(product(a30,a23),a23),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
product(product(a30,a23),a23) = a30,
inference(substitution,[status(thm)],[c8]) ).
cnf(c23,plain,
product(a31,a23) = a30,
inference(transitivity,[status(thm)],[c21,c22]) ).
cnf(c24,plain,
product(product(a31,a23),a31) = product(a30,a31),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
product(a31,product(a23,a31)) = product(a30,a31),
inference(transitivity,[status(thm)],[c18,c24]) ).
cnf(c26,plain,
product(a31,a22) = product(a30,a31),
inference(transitivity,[status(thm)],[c12,c25]) ).
cnf(c27,plain,
product(a30,a31) = product(a31,a22),
inference(symmetry,[status(thm)],[c26]) ).
cnf(c28,plain,
product(product(a30,a31),a22) = product(product(a31,a22),a22),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
product(product(a31,a22),a22) = a31,
inference(substitution,[status(thm)],[c8]) ).
cnf(c30,plain,
product(product(a30,a31),a22) = a31,
inference(transitivity,[status(thm)],[c28,c29]) ).
cnf(c31,plain,
a31 = product(product(a30,a31),a22),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
product(a31,a25) = product(product(product(a30,a31),a22),a25),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,axiom,
product(a21,a25) = a22,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c34,plain,
a22 = product(a21,a25),
inference(symmetry,[status(thm)],[c33]) ).
cnf(c35,plain,
product(a22,a25) = product(product(a21,a25),a25),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
product(product(a21,a25),a25) = a21,
inference(substitution,[status(thm)],[c8]) ).
cnf(c37,plain,
product(a22,a25) = a21,
inference(transitivity,[status(thm)],[c35,c36]) ).
cnf(c38,plain,
a21 = product(a22,a25),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,plain,
product(product(X2,a25),a21) = product(product(X2,a25),product(a22,a25)),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
product(product(X2,a22),a25) = product(product(X2,a25),product(a22,a25)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c41,plain,
product(product(X2,a25),product(a22,a25)) = product(product(X2,a22),a25),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
product(product(X2,a25),a21) = product(product(X2,a22),a25),
inference(transitivity,[status(thm)],[c39,c41]) ).
cnf(c43,plain,
product(product(product(a30,a31),a25),a21) = product(product(product(a30,a31),a22),a25),
inference(substitution,[status(thm)],[c42]) ).
cnf(c44,plain,
product(product(product(a30,a31),a22),a25) = product(product(product(a30,a31),a25),a21),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,axiom,
product(a29,a1) = a30,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c46,plain,
a30 = product(a29,a1),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c47,plain,
product(a30,a31) = product(product(a29,a1),a31),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
product(product(a30,a31),a25) = product(product(product(a29,a1),a31),a25),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,axiom,
product(a1,a31) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c50,plain,
a2 = product(a1,a31),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
product(product(X2,a31),a2) = product(product(X2,a31),product(a1,a31)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
product(product(X2,a1),a31) = product(product(X2,a31),product(a1,a31)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c53,plain,
product(product(X2,a31),product(a1,a31)) = product(product(X2,a1),a31),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
product(product(X2,a31),a2) = product(product(X2,a1),a31),
inference(transitivity,[status(thm)],[c51,c53]) ).
cnf(c55,plain,
product(product(a29,a31),a2) = product(product(a29,a1),a31),
inference(substitution,[status(thm)],[c54]) ).
cnf(c56,plain,
product(product(a29,a1),a31) = product(product(a29,a31),a2),
inference(symmetry,[status(thm)],[c55]) ).
cnf(c57,plain,
product(product(product(a29,a1),a31),a25) = product(product(product(a29,a31),a2),a25),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,axiom,
product(a24,a3) = a25,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c59,plain,
a25 = product(a24,a3),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
product(a25,a3) = product(product(a24,a3),a3),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
product(product(a24,a3),a3) = a24,
inference(substitution,[status(thm)],[c8]) ).
cnf(c62,plain,
product(a25,a3) = a24,
inference(transitivity,[status(thm)],[c60,c61]) ).
cnf(c63,plain,
a24 = product(a25,a3),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c64,plain,
product(product(X2,a3),a24) = product(product(X2,a3),product(a25,a3)),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
product(product(X2,a25),a3) = product(product(X2,a3),product(a25,a3)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c66,plain,
product(product(X2,a3),product(a25,a3)) = product(product(X2,a25),a3),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,axiom,
product(a2,a25) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c68,plain,
a3 = product(a2,a25),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
product(product(X2,a25),a3) = product(product(X2,a25),product(a2,a25)),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
product(product(X2,a2),a25) = product(product(X2,a25),product(a2,a25)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c71,plain,
product(product(X2,a25),product(a2,a25)) = product(product(X2,a2),a25),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
product(product(X2,a25),a3) = product(product(X2,a2),a25),
inference(transitivity,[status(thm)],[c69,c71]) ).
cnf(c73,plain,
product(product(X2,a3),product(a25,a3)) = product(product(X2,a2),a25),
inference(transitivity,[status(thm)],[c66,c72]) ).
cnf(c74,plain,
product(product(X2,a3),a24) = product(product(X2,a2),a25),
inference(transitivity,[status(thm)],[c64,c73]) ).
cnf(c75,plain,
product(product(product(a29,a31),a3),a24) = product(product(product(a29,a31),a2),a25),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
product(product(product(a29,a31),a2),a25) = product(product(product(a29,a31),a3),a24),
inference(symmetry,[status(thm)],[c75]) ).
cnf(c77,axiom,
product(a31,a3) = a32,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c78,plain,
a32 = product(a31,a3),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c79,plain,
product(product(X2,a3),a32) = product(product(X2,a3),product(a31,a3)),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
product(product(X2,a31),a3) = product(product(X2,a3),product(a31,a3)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c81,plain,
product(product(X2,a3),product(a31,a3)) = product(product(X2,a31),a3),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
product(product(X2,a3),a32) = product(product(X2,a31),a3),
inference(transitivity,[status(thm)],[c79,c81]) ).
cnf(c83,plain,
product(product(a29,a3),a32) = product(product(a29,a31),a3),
inference(substitution,[status(thm)],[c82]) ).
cnf(c84,plain,
product(product(a29,a31),a3) = product(product(a29,a3),a32),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,axiom,
product(a28,a3) = a29,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c86,plain,
a29 = product(a28,a3),
inference(symmetry,[status(thm)],[c85]) ).
cnf(c87,plain,
product(a29,a3) = product(product(a28,a3),a3),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
product(product(a28,a3),a3) = a28,
inference(substitution,[status(thm)],[c8]) ).
cnf(c89,plain,
product(a29,a3) = a28,
inference(transitivity,[status(thm)],[c87,c88]) ).
cnf(c90,plain,
product(product(a29,a3),a32) = product(a28,a32),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
product(product(product(a28,a32),a21),a21) = product(a28,a32),
inference(substitution,[status(thm)],[c8]) ).
cnf(c92,plain,
product(a28,a32) = product(product(product(a28,a32),a21),a21),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,axiom,
product(a32,a21) = a1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c94,plain,
a1 = product(a32,a21),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
product(product(X2,a21),a1) = product(product(X2,a21),product(a32,a21)),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
product(product(X2,a32),a21) = product(product(X2,a21),product(a32,a21)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c97,plain,
product(product(X2,a21),product(a32,a21)) = product(product(X2,a32),a21),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
product(product(X2,a21),a1) = product(product(X2,a32),a21),
inference(transitivity,[status(thm)],[c95,c97]) ).
cnf(c99,plain,
product(product(a28,a21),a1) = product(product(a28,a32),a21),
inference(substitution,[status(thm)],[c98]) ).
cnf(c100,plain,
product(product(a28,a32),a21) = product(product(a28,a21),a1),
inference(symmetry,[status(thm)],[c99]) ).
cnf(c101,axiom,
product(a27,a21) = a28,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c102,plain,
a28 = product(a27,a21),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
product(a28,a21) = product(product(a27,a21),a21),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
product(product(a27,a21),a21) = a27,
inference(substitution,[status(thm)],[c8]) ).
cnf(c105,plain,
product(a28,a21) = a27,
inference(transitivity,[status(thm)],[c103,c104]) ).
cnf(c106,plain,
product(product(a28,a21),a1) = product(a27,a1),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,axiom,
product(a26,a1) = a27,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c108,plain,
a27 = product(a26,a1),
inference(symmetry,[status(thm)],[c107]) ).
cnf(c109,plain,
product(a27,a1) = product(product(a26,a1),a1),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
product(product(a26,a1),a1) = a26,
inference(substitution,[status(thm)],[c8]) ).
cnf(c111,plain,
product(a27,a1) = a26,
inference(transitivity,[status(thm)],[c109,c110]) ).
cnf(c112,plain,
product(product(a28,a21),a1) = a26,
inference(transitivity,[status(thm)],[c106,c111]) ).
cnf(c113,plain,
product(product(a28,a32),a21) = a26,
inference(transitivity,[status(thm)],[c100,c112]) ).
cnf(c114,plain,
product(product(product(a28,a32),a21),a21) = product(a26,a21),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
product(a28,a32) = product(a26,a21),
inference(transitivity,[status(thm)],[c92,c114]) ).
cnf(c116,plain,
product(product(a29,a3),a32) = product(a26,a21),
inference(transitivity,[status(thm)],[c90,c115]) ).
cnf(c117,plain,
product(product(a29,a31),a3) = product(a26,a21),
inference(transitivity,[status(thm)],[c84,c116]) ).
cnf(c118,plain,
product(product(product(a29,a31),a3),a24) = product(product(a26,a21),a24),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,axiom,
product(a23,a21) = a24,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c120,plain,
a24 = product(a23,a21),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
product(product(X2,a21),a24) = product(product(X2,a21),product(a23,a21)),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
product(product(X2,a23),a21) = product(product(X2,a21),product(a23,a21)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c123,plain,
product(product(X2,a21),product(a23,a21)) = product(product(X2,a23),a21),
inference(symmetry,[status(thm)],[c122]) ).
cnf(c124,plain,
product(product(X2,a21),a24) = product(product(X2,a23),a21),
inference(transitivity,[status(thm)],[c121,c123]) ).
cnf(c125,plain,
product(product(a26,a21),a24) = product(product(a26,a23),a21),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,axiom,
product(a25,a23) = a26,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c127,plain,
a26 = product(a25,a23),
inference(symmetry,[status(thm)],[c126]) ).
cnf(c128,plain,
product(a26,a23) = product(product(a25,a23),a23),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
product(product(a25,a23),a23) = a25,
inference(substitution,[status(thm)],[c8]) ).
cnf(c130,plain,
product(a26,a23) = a25,
inference(transitivity,[status(thm)],[c128,c129]) ).
cnf(c131,plain,
product(product(a26,a23),a21) = product(a25,a21),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
product(product(a26,a21),a24) = product(a25,a21),
inference(transitivity,[status(thm)],[c125,c131]) ).
cnf(c133,plain,
product(product(product(a29,a31),a3),a24) = product(a25,a21),
inference(transitivity,[status(thm)],[c118,c132]) ).
cnf(c134,plain,
product(product(product(a29,a31),a2),a25) = product(a25,a21),
inference(transitivity,[status(thm)],[c76,c133]) ).
cnf(c135,plain,
product(product(product(a29,a1),a31),a25) = product(a25,a21),
inference(transitivity,[status(thm)],[c57,c134]) ).
cnf(c136,plain,
product(product(a30,a31),a25) = product(a25,a21),
inference(transitivity,[status(thm)],[c48,c135]) ).
cnf(c137,plain,
product(product(product(a30,a31),a25),a21) = product(product(a25,a21),a21),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
product(product(a25,a21),a21) = a25,
inference(substitution,[status(thm)],[c8]) ).
cnf(c139,plain,
product(product(product(a30,a31),a25),a21) = a25,
inference(transitivity,[status(thm)],[c137,c138]) ).
cnf(c140,plain,
product(product(product(a30,a31),a22),a25) = a25,
inference(transitivity,[status(thm)],[c44,c139]) ).
cnf(c141,plain,
product(a31,a25) = a25,
inference(transitivity,[status(thm)],[c32,c140]) ).
cnf(c142,plain,
a25 = product(a31,a25),
inference(symmetry,[status(thm)],[c141]) ).
cnf(c143,plain,
product(a25,a25) = product(product(a31,a25),a25),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
product(product(a31,a25),a25) = a31,
inference(substitution,[status(thm)],[c8]) ).
cnf(c145,plain,
product(a25,a25) = a31,
inference(transitivity,[status(thm)],[c143,c144]) ).
cnf(c146,plain,
a25 = a31,
inference(transitivity,[status(thm)],[c4,c145]) ).
cnf(c147,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
a3 = product(a2,a25),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c149,plain,
product(a2,a25) = product(a2,a31),
inference(congruence,[status(thm)],[c146]) ).
cnf(c150,plain,
a2 = product(a1,a31),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c151,plain,
product(a2,a31) = product(product(a1,a31),a31),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
product(product(a1,a31),a31) = a1,
inference(substitution,[status(thm)],[c8]) ).
cnf(c153,plain,
product(a2,a31) = a1,
inference(transitivity,[status(thm)],[c151,c152]) ).
cnf(c154,plain,
product(a2,a25) = a1,
inference(transitivity,[status(thm)],[c149,c153]) ).
cnf(c155,plain,
a3 = a1,
inference(transitivity,[status(thm)],[c148,c154]) ).
cnf(c156,plain,
tuple(a1,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a30,a31,a2,a24,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
a24 = product(a25,a3),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c158,plain,
product(a25,a3) = product(a31,a3),
inference(congruence,[status(thm)],[c146]) ).
cnf(c159,plain,
product(a25,a3) = a32,
inference(transitivity,[status(thm)],[c158,c77]) ).
cnf(c160,plain,
a24 = a32,
inference(transitivity,[status(thm)],[c157,c159]) ).
cnf(c161,plain,
tuple(a1,a30,a31,a2,a24,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c160]) ).
cnf(c162,plain,
a21 = product(a22,a25),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c163,plain,
product(a22,a25) = product(a22,a31),
inference(congruence,[status(thm)],[c146]) ).
cnf(c164,plain,
product(a22,a25) = a23,
inference(transitivity,[status(thm)],[c163,c5]) ).
cnf(c165,plain,
a21 = a23,
inference(transitivity,[status(thm)],[c162,c164]) ).
cnf(c166,plain,
tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
a30 = product(a31,a23),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c168,plain,
a31 = a25,
inference(symmetry,[status(thm)],[c146]) ).
cnf(c169,plain,
product(a31,a23) = product(a25,a23),
inference(congruence,[status(thm)],[c168]) ).
cnf(c170,plain,
product(a31,a23) = a26,
inference(transitivity,[status(thm)],[c169,c126]) ).
cnf(c171,plain,
a30 = a26,
inference(transitivity,[status(thm)],[c167,c170]) ).
cnf(c172,plain,
tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27) = tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
a24 = product(a23,a21),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c174,plain,
product(a24,a21) = product(product(a23,a21),a21),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
product(product(a23,a21),a21) = a23,
inference(substitution,[status(thm)],[c8]) ).
cnf(c176,plain,
product(a24,a21) = a23,
inference(transitivity,[status(thm)],[c174,c175]) ).
cnf(c177,plain,
a23 = product(a24,a21),
inference(symmetry,[status(thm)],[c176]) ).
cnf(c178,plain,
product(a24,a21) = product(a32,a21),
inference(congruence,[status(thm)],[c160]) ).
cnf(c179,plain,
product(a24,a21) = a1,
inference(transitivity,[status(thm)],[c178,c93]) ).
cnf(c180,plain,
a23 = a1,
inference(transitivity,[status(thm)],[c177,c179]) ).
cnf(c181,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27) = tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a23,a26,a27),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a23,a26,a27) = tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27),
inference(congruence,[status(thm)],[c180]) ).
cnf(c183,plain,
a1 = a23,
inference(symmetry,[status(thm)],[c180]) ).
cnf(c184,plain,
product(a23,a23) = a23,
inference(substitution,[status(thm)],[c2]) ).
cnf(c185,plain,
a23 = product(a23,a23),
inference(symmetry,[status(thm)],[c184]) ).
cnf(c186,plain,
a23 = a21,
inference(symmetry,[status(thm)],[c165]) ).
cnf(c187,plain,
product(a23,a23) = product(a23,a21),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
product(a23,a21) = a32,
inference(transitivity,[status(thm)],[c119,c160]) ).
cnf(c189,plain,
product(a23,a23) = a32,
inference(transitivity,[status(thm)],[c187,c188]) ).
cnf(c190,plain,
a23 = a32,
inference(transitivity,[status(thm)],[c185,c189]) ).
cnf(c191,plain,
a1 = a32,
inference(transitivity,[status(thm)],[c183,c190]) ).
cnf(c192,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
tuple(a32,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27),
inference(congruence,[status(thm)],[c191]) ).
cnf(c194,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a1,a26,a27),
inference(congruence,[status(thm)],[c191]) ).
cnf(c195,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a1,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27),
inference(congruence,[status(thm)],[c191]) ).
cnf(c196,plain,
a1 = a3,
inference(symmetry,[status(thm)],[c155]) ).
cnf(c197,plain,
product(a29,a1) = product(a29,a3),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
product(a29,a1) = a28,
inference(transitivity,[status(thm)],[c197,c89]) ).
cnf(c199,plain,
a28 = product(a29,a1),
inference(symmetry,[status(thm)],[c198]) ).
cnf(c200,plain,
product(a29,a1) = a26,
inference(transitivity,[status(thm)],[c45,c171]) ).
cnf(c201,plain,
a28 = a26,
inference(transitivity,[status(thm)],[c199,c200]) ).
cnf(c202,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a32,a26,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
a30 = product(a29,a1),
inference(symmetry,[status(thm)],[c45]) ).
cnf(c204,plain,
product(a30,a1) = product(product(a29,a1),a1),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
product(product(a29,a1),a1) = a29,
inference(substitution,[status(thm)],[c8]) ).
cnf(c206,plain,
product(a30,a1) = a29,
inference(transitivity,[status(thm)],[c204,c205]) ).
cnf(c207,plain,
a29 = product(a30,a1),
inference(symmetry,[status(thm)],[c206]) ).
cnf(c208,plain,
product(a30,a1) = product(a26,a1),
inference(congruence,[status(thm)],[c171]) ).
cnf(c209,plain,
product(a30,a1) = a27,
inference(transitivity,[status(thm)],[c208,c107]) ).
cnf(c210,plain,
a29 = a27,
inference(transitivity,[status(thm)],[c207,c209]) ).
cnf(c211,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a26,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a32,a26,a31,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
a31 = product(a30,a23),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c213,plain,
product(a30,a23) = product(a30,a1),
inference(congruence,[status(thm)],[c180]) ).
cnf(c214,plain,
product(a30,a1) = product(a26,a1),
inference(congruence,[status(thm)],[c171]) ).
cnf(c215,plain,
product(a30,a1) = a27,
inference(transitivity,[status(thm)],[c214,c107]) ).
cnf(c216,plain,
product(a30,a23) = a27,
inference(transitivity,[status(thm)],[c213,c215]) ).
cnf(c217,plain,
a31 = a27,
inference(transitivity,[status(thm)],[c212,c216]) ).
cnf(c218,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a32,a26,a27,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
tuple(a32,a26,a27,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27),
inference(congruence,[status(thm)],[c217]) ).
cnf(c220,plain,
a22 = product(a23,a31),
inference(symmetry,[status(thm)],[c10]) ).
cnf(c221,plain,
product(a23,a31) = product(a1,a31),
inference(congruence,[status(thm)],[c180]) ).
cnf(c222,plain,
product(a23,a31) = a2,
inference(transitivity,[status(thm)],[c221,c49]) ).
cnf(c223,plain,
a22 = a2,
inference(transitivity,[status(thm)],[c220,c222]) ).
cnf(c224,plain,
tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27),
inference(congruence,[status(thm)],[c223]) ).
cnf(c225,plain,
a26 = a28,
inference(symmetry,[status(thm)],[c201]) ).
cnf(c226,plain,
a28 = product(a27,a21),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c227,plain,
a27 = a31,
inference(symmetry,[status(thm)],[c217]) ).
cnf(c228,plain,
product(a27,a21) = product(a31,a21),
inference(congruence,[status(thm)],[c227]) ).
cnf(c229,plain,
product(product(a32,X2),a21) = product(product(a32,a21),product(X2,a21)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c230,plain,
product(product(a32,a21),product(X2,a21)) = product(a1,product(X2,a21)),
inference(congruence,[status(thm)],[c93]) ).
cnf(c231,plain,
product(product(a32,X2),a21) = product(a1,product(X2,a21)),
inference(transitivity,[status(thm)],[c229,c230]) ).
cnf(c232,plain,
product(product(a32,a3),a21) = product(a1,product(a3,a21)),
inference(substitution,[status(thm)],[c231]) ).
cnf(c233,plain,
product(a1,product(a3,a21)) = product(product(a32,a3),a21),
inference(symmetry,[status(thm)],[c232]) ).
cnf(c234,plain,
a32 = product(a31,a3),
inference(symmetry,[status(thm)],[c77]) ).
cnf(c235,plain,
product(a32,a3) = product(product(a31,a3),a3),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
product(product(a31,a3),a3) = a31,
inference(substitution,[status(thm)],[c8]) ).
cnf(c237,plain,
product(a32,a3) = a31,
inference(transitivity,[status(thm)],[c235,c236]) ).
cnf(c238,plain,
product(product(a32,a3),a21) = product(a31,a21),
inference(congruence,[status(thm)],[c237]) ).
cnf(c239,plain,
product(a1,product(a3,a21)) = product(a31,a21),
inference(transitivity,[status(thm)],[c233,c238]) ).
cnf(c240,plain,
product(a31,a21) = product(a1,product(a3,a21)),
inference(symmetry,[status(thm)],[c239]) ).
cnf(c241,plain,
product(a1,product(a3,a21)) = product(a32,product(a3,a21)),
inference(congruence,[status(thm)],[c191]) ).
cnf(c242,plain,
product(a3,a21) = product(a1,a21),
inference(congruence,[status(thm)],[c155]) ).
cnf(c243,plain,
product(a32,product(a3,a21)) = product(a32,product(a1,a21)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
a1 = product(a32,a21),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c245,plain,
product(a1,a21) = product(product(a32,a21),a21),
inference(congruence,[status(thm)],[c244]) ).
cnf(c246,plain,
product(product(a32,a21),a21) = a32,
inference(substitution,[status(thm)],[c8]) ).
cnf(c247,plain,
product(a1,a21) = a32,
inference(transitivity,[status(thm)],[c245,c246]) ).
cnf(c248,plain,
product(a32,product(a1,a21)) = product(a32,a32),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
product(a32,a32) = a32,
inference(substitution,[status(thm)],[c2]) ).
cnf(c250,plain,
product(a32,product(a1,a21)) = a32,
inference(transitivity,[status(thm)],[c248,c249]) ).
cnf(c251,plain,
product(a32,product(a3,a21)) = a32,
inference(transitivity,[status(thm)],[c243,c250]) ).
cnf(c252,plain,
product(a1,product(a3,a21)) = a32,
inference(transitivity,[status(thm)],[c241,c251]) ).
cnf(c253,plain,
product(a31,a21) = a32,
inference(transitivity,[status(thm)],[c240,c252]) ).
cnf(c254,plain,
product(a27,a21) = a32,
inference(transitivity,[status(thm)],[c228,c253]) ).
cnf(c255,plain,
a28 = a32,
inference(transitivity,[status(thm)],[c226,c254]) ).
cnf(c256,plain,
a26 = a32,
inference(transitivity,[status(thm)],[c225,c255]) ).
cnf(c257,plain,
tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a32,a32,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27),
inference(congruence,[status(thm)],[c256]) ).
cnf(c259,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27),
inference(congruence,[status(thm)],[c256]) ).
cnf(c260,plain,
a27 = product(a28,a21),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c261,plain,
product(a28,a21) = product(a26,a21),
inference(congruence,[status(thm)],[c201]) ).
cnf(c262,plain,
product(a26,a21) = product(a32,a21),
inference(congruence,[status(thm)],[c256]) ).
cnf(c263,plain,
product(a32,a21) = a32,
inference(transitivity,[status(thm)],[c93,c191]) ).
cnf(c264,plain,
product(a26,a21) = a32,
inference(transitivity,[status(thm)],[c262,c263]) ).
cnf(c265,plain,
product(a28,a21) = a32,
inference(transitivity,[status(thm)],[c261,c264]) ).
cnf(c266,plain,
a27 = a32,
inference(transitivity,[status(thm)],[c260,c265]) ).
cnf(c267,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a32,a32,a32,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
tuple(a32,a32,a32,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a32,a32,a32,a2,a32,a32,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27),
inference(congruence,[status(thm)],[c266]) ).
cnf(c269,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27),
inference(congruence,[status(thm)],[c266]) ).
cnf(c270,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32),
inference(congruence,[status(thm)],[c266]) ).
cnf(c271,plain,
a27 = a31,
inference(symmetry,[status(thm)],[c217]) ).
cnf(c272,plain,
product(a32,a27) = product(a32,a31),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,plain,
a31 = a25,
inference(symmetry,[status(thm)],[c146]) ).
cnf(c274,plain,
product(a32,a31) = product(a32,a25),
inference(congruence,[status(thm)],[c273]) ).
cnf(c275,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c276,plain,
product(a32,a25) = product(a1,a25),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
product(product(a2,X2),a25) = product(product(a2,a25),product(X2,a25)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c278,plain,
product(product(a2,a25),product(X2,a25)) = product(a3,product(X2,a25)),
inference(congruence,[status(thm)],[c67]) ).
cnf(c279,plain,
product(product(a2,X2),a25) = product(a3,product(X2,a25)),
inference(transitivity,[status(thm)],[c277,c278]) ).
cnf(c280,plain,
product(product(a2,a31),a25) = product(a3,product(a31,a25)),
inference(substitution,[status(thm)],[c279]) ).
cnf(c281,plain,
product(a3,product(a31,a25)) = product(product(a2,a31),a25),
inference(symmetry,[status(thm)],[c280]) ).
cnf(c282,plain,
product(product(a2,a31),a25) = product(a1,a25),
inference(congruence,[status(thm)],[c153]) ).
cnf(c283,plain,
product(a3,product(a31,a25)) = product(a1,a25),
inference(transitivity,[status(thm)],[c281,c282]) ).
cnf(c284,plain,
product(a1,a25) = product(a3,product(a31,a25)),
inference(symmetry,[status(thm)],[c283]) ).
cnf(c285,plain,
product(a3,product(a31,a25)) = product(a3,a25),
inference(congruence,[status(thm)],[c141]) ).
cnf(c286,plain,
a3 = product(a2,a25),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c287,plain,
product(a3,a25) = product(product(a2,a25),a25),
inference(congruence,[status(thm)],[c286]) ).
cnf(c288,plain,
product(product(a2,a25),a25) = a2,
inference(substitution,[status(thm)],[c8]) ).
cnf(c289,plain,
product(a3,a25) = a2,
inference(transitivity,[status(thm)],[c287,c288]) ).
cnf(c290,plain,
product(a3,product(a31,a25)) = a2,
inference(transitivity,[status(thm)],[c285,c289]) ).
cnf(c291,plain,
product(a1,a25) = a2,
inference(transitivity,[status(thm)],[c284,c290]) ).
cnf(c292,plain,
product(a32,a25) = a2,
inference(transitivity,[status(thm)],[c276,c291]) ).
cnf(c293,plain,
product(a32,a31) = a2,
inference(transitivity,[status(thm)],[c274,c292]) ).
cnf(c294,plain,
product(a32,a27) = a2,
inference(transitivity,[status(thm)],[c272,c293]) ).
cnf(c295,plain,
a2 = product(a32,a27),
inference(symmetry,[status(thm)],[c294]) ).
cnf(c296,plain,
a27 = a31,
inference(symmetry,[status(thm)],[c217]) ).
cnf(c297,plain,
product(a32,a27) = product(a32,a31),
inference(congruence,[status(thm)],[c296]) ).
cnf(c298,plain,
a31 = a25,
inference(symmetry,[status(thm)],[c146]) ).
cnf(c299,plain,
product(a32,a31) = product(a32,a25),
inference(congruence,[status(thm)],[c298]) ).
cnf(c300,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c301,plain,
product(a32,a25) = product(a1,a25),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
a1 = a23,
inference(symmetry,[status(thm)],[c180]) ).
cnf(c303,plain,
product(a1,a25) = product(a23,a25),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
product(product(X2,a21),a25) = product(product(X2,a25),product(a21,a25)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c305,plain,
product(product(X2,a25),product(a21,a25)) = product(product(X2,a25),a22),
inference(congruence,[status(thm)],[c33]) ).
cnf(c306,plain,
product(product(X2,a21),a25) = product(product(X2,a25),a22),
inference(transitivity,[status(thm)],[c304,c305]) ).
cnf(c307,plain,
product(product(a24,a21),a25) = product(product(a24,a25),a22),
inference(substitution,[status(thm)],[c306]) ).
cnf(c308,plain,
product(product(a24,a25),a22) = product(product(a24,a21),a25),
inference(symmetry,[status(thm)],[c307]) ).
cnf(c309,plain,
product(product(a24,a21),a25) = product(a23,a25),
inference(congruence,[status(thm)],[c176]) ).
cnf(c310,plain,
product(product(a24,a25),a22) = product(a23,a25),
inference(transitivity,[status(thm)],[c308,c309]) ).
cnf(c311,plain,
product(a23,a25) = product(product(a24,a25),a22),
inference(symmetry,[status(thm)],[c310]) ).
cnf(c312,plain,
product(product(a24,a25),a22) = product(product(a24,a25),a2),
inference(congruence,[status(thm)],[c223]) ).
cnf(c313,plain,
a2 = product(a3,a25),
inference(symmetry,[status(thm)],[c289]) ).
cnf(c314,plain,
product(a25,a2) = product(a25,product(a3,a25)),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
product(product(a25,a3),a25) = product(a25,product(a3,a25)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c316,plain,
product(a25,product(a3,a25)) = product(product(a25,a3),a25),
inference(symmetry,[status(thm)],[c315]) ).
cnf(c317,plain,
product(product(a25,a3),a25) = product(a24,a25),
inference(congruence,[status(thm)],[c62]) ).
cnf(c318,plain,
product(a25,product(a3,a25)) = product(a24,a25),
inference(transitivity,[status(thm)],[c316,c317]) ).
cnf(c319,plain,
product(a25,a2) = product(a24,a25),
inference(transitivity,[status(thm)],[c314,c318]) ).
cnf(c320,plain,
product(a24,a25) = product(a25,a2),
inference(symmetry,[status(thm)],[c319]) ).
cnf(c321,plain,
product(product(a24,a25),a2) = product(product(a25,a2),a2),
inference(congruence,[status(thm)],[c320]) ).
cnf(c322,plain,
product(product(a25,a2),a2) = a25,
inference(substitution,[status(thm)],[c8]) ).
cnf(c323,plain,
product(product(a24,a25),a2) = a25,
inference(transitivity,[status(thm)],[c321,c322]) ).
cnf(c324,plain,
a31 = a32,
inference(transitivity,[status(thm)],[c217,c266]) ).
cnf(c325,plain,
a25 = a32,
inference(transitivity,[status(thm)],[c146,c324]) ).
cnf(c326,plain,
product(product(a24,a25),a2) = a32,
inference(transitivity,[status(thm)],[c323,c325]) ).
cnf(c327,plain,
product(product(a24,a25),a22) = a32,
inference(transitivity,[status(thm)],[c312,c326]) ).
cnf(c328,plain,
product(a23,a25) = a32,
inference(transitivity,[status(thm)],[c311,c327]) ).
cnf(c329,plain,
product(a1,a25) = a32,
inference(transitivity,[status(thm)],[c303,c328]) ).
cnf(c330,plain,
product(a32,a25) = a32,
inference(transitivity,[status(thm)],[c301,c329]) ).
cnf(c331,plain,
product(a32,a31) = a32,
inference(transitivity,[status(thm)],[c299,c330]) ).
cnf(c332,plain,
product(a32,a27) = a32,
inference(transitivity,[status(thm)],[c297,c331]) ).
cnf(c333,plain,
a2 = a32,
inference(transitivity,[status(thm)],[c295,c332]) ).
cnf(c334,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32),
inference(congruence,[status(thm)],[c333]) ).
cnf(c335,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c333]) ).
cnf(c336,axiom,
product(a3,a29) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c337,plain,
a4 = product(a3,a29),
inference(symmetry,[status(thm)],[c336]) ).
cnf(c338,plain,
product(a3,a29) = product(a1,a29),
inference(congruence,[status(thm)],[c155]) ).
cnf(c339,plain,
product(a1,a29) = product(a32,a29),
inference(congruence,[status(thm)],[c191]) ).
cnf(c340,plain,
product(a32,a29) = product(a32,a27),
inference(congruence,[status(thm)],[c210]) ).
cnf(c341,plain,
product(a32,a27) = a32,
inference(transitivity,[status(thm)],[c294,c333]) ).
cnf(c342,plain,
product(a32,a29) = a32,
inference(transitivity,[status(thm)],[c340,c341]) ).
cnf(c343,plain,
product(a1,a29) = a32,
inference(transitivity,[status(thm)],[c339,c342]) ).
cnf(c344,plain,
product(a3,a29) = a32,
inference(transitivity,[status(thm)],[c338,c343]) ).
cnf(c345,plain,
a4 = a32,
inference(transitivity,[status(thm)],[c337,c344]) ).
cnf(c346,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c345]) ).
cnf(c347,plain,
product(product(a20,a32),a32) = a20,
inference(substitution,[status(thm)],[c8]) ).
cnf(c348,plain,
a20 = product(product(a20,a32),a32),
inference(symmetry,[status(thm)],[c347]) ).
cnf(c349,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c350,plain,
product(product(a20,a32),a32) = product(product(a20,a32),a1),
inference(congruence,[status(thm)],[c349]) ).
cnf(c351,plain,
a1 = a3,
inference(symmetry,[status(thm)],[c155]) ).
cnf(c352,plain,
product(product(a20,a32),a1) = product(product(a20,a32),a3),
inference(congruence,[status(thm)],[c351]) ).
cnf(c353,plain,
a32 = a4,
inference(symmetry,[status(thm)],[c345]) ).
cnf(c354,plain,
product(a20,a32) = product(a20,a4),
inference(congruence,[status(thm)],[c353]) ).
cnf(c355,plain,
product(product(a20,a32),a3) = product(product(a20,a4),a3),
inference(congruence,[status(thm)],[c354]) ).
cnf(c356,plain,
a4 = product(a3,a29),
inference(symmetry,[status(thm)],[c336]) ).
cnf(c357,plain,
product(product(X2,a29),a4) = product(product(X2,a29),product(a3,a29)),
inference(congruence,[status(thm)],[c356]) ).
cnf(c358,plain,
product(product(X2,a3),a29) = product(product(X2,a29),product(a3,a29)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c359,plain,
product(product(X2,a29),product(a3,a29)) = product(product(X2,a3),a29),
inference(symmetry,[status(thm)],[c358]) ).
cnf(c360,plain,
a29 = product(a28,a3),
inference(symmetry,[status(thm)],[c85]) ).
cnf(c361,plain,
product(product(X2,a3),a29) = product(product(X2,a3),product(a28,a3)),
inference(congruence,[status(thm)],[c360]) ).
cnf(c362,plain,
product(product(X2,a28),a3) = product(product(X2,a3),product(a28,a3)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c363,plain,
product(product(X2,a3),product(a28,a3)) = product(product(X2,a28),a3),
inference(symmetry,[status(thm)],[c362]) ).
cnf(c364,plain,
product(product(X2,a3),a29) = product(product(X2,a28),a3),
inference(transitivity,[status(thm)],[c361,c363]) ).
cnf(c365,plain,
product(product(X2,a29),product(a3,a29)) = product(product(X2,a28),a3),
inference(transitivity,[status(thm)],[c359,c364]) ).
cnf(c366,plain,
product(product(X2,a29),a4) = product(product(X2,a28),a3),
inference(transitivity,[status(thm)],[c357,c365]) ).
cnf(c367,plain,
product(product(a21,a29),a4) = product(product(a21,a28),a3),
inference(substitution,[status(thm)],[c366]) ).
cnf(c368,plain,
product(product(a21,a28),a3) = product(product(a21,a29),a4),
inference(symmetry,[status(thm)],[c367]) ).
cnf(c369,axiom,
product(a20,a29) = a21,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c370,plain,
a21 = product(a20,a29),
inference(symmetry,[status(thm)],[c369]) ).
cnf(c371,plain,
product(a21,a29) = product(product(a20,a29),a29),
inference(congruence,[status(thm)],[c370]) ).
cnf(c372,plain,
product(product(a20,a29),a29) = a20,
inference(substitution,[status(thm)],[c8]) ).
cnf(c373,plain,
product(a21,a29) = a20,
inference(transitivity,[status(thm)],[c371,c372]) ).
cnf(c374,plain,
product(product(a21,a29),a4) = product(a20,a4),
inference(congruence,[status(thm)],[c373]) ).
cnf(c375,plain,
product(product(a21,a28),a3) = product(a20,a4),
inference(transitivity,[status(thm)],[c368,c374]) ).
cnf(c376,plain,
product(a20,a4) = product(product(a21,a28),a3),
inference(symmetry,[status(thm)],[c375]) ).
cnf(c377,plain,
product(product(a20,a4),a3) = product(product(product(a21,a28),a3),a3),
inference(congruence,[status(thm)],[c376]) ).
cnf(c378,plain,
product(product(product(a21,a28),a3),a3) = product(a21,a28),
inference(substitution,[status(thm)],[c8]) ).
cnf(c379,plain,
product(product(a20,a4),a3) = product(a21,a28),
inference(transitivity,[status(thm)],[c377,c378]) ).
cnf(c380,plain,
product(a21,a28) = product(a23,a28),
inference(congruence,[status(thm)],[c165]) ).
cnf(c381,plain,
product(a23,a28) = product(a1,a28),
inference(congruence,[status(thm)],[c180]) ).
cnf(c382,plain,
product(a1,a28) = product(a32,a28),
inference(congruence,[status(thm)],[c191]) ).
cnf(c383,plain,
product(a32,a28) = product(a32,a26),
inference(congruence,[status(thm)],[c201]) ).
cnf(c384,plain,
product(a32,a26) = product(a32,a32),
inference(congruence,[status(thm)],[c256]) ).
cnf(c385,plain,
product(a32,a32) = a32,
inference(substitution,[status(thm)],[c2]) ).
cnf(c386,plain,
product(a32,a26) = a32,
inference(transitivity,[status(thm)],[c384,c385]) ).
cnf(c387,plain,
product(a32,a28) = a32,
inference(transitivity,[status(thm)],[c383,c386]) ).
cnf(c388,plain,
product(a1,a28) = a32,
inference(transitivity,[status(thm)],[c382,c387]) ).
cnf(c389,plain,
product(a23,a28) = a32,
inference(transitivity,[status(thm)],[c381,c388]) ).
cnf(c390,plain,
product(a21,a28) = a32,
inference(transitivity,[status(thm)],[c380,c389]) ).
cnf(c391,plain,
product(product(a20,a4),a3) = a32,
inference(transitivity,[status(thm)],[c379,c390]) ).
cnf(c392,plain,
product(product(a20,a32),a3) = a32,
inference(transitivity,[status(thm)],[c355,c391]) ).
cnf(c393,plain,
product(product(a20,a32),a1) = a32,
inference(transitivity,[status(thm)],[c352,c392]) ).
cnf(c394,plain,
product(product(a20,a32),a32) = a32,
inference(transitivity,[status(thm)],[c350,c393]) ).
cnf(c395,plain,
a20 = a32,
inference(transitivity,[status(thm)],[c348,c394]) ).
cnf(c396,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c395]) ).
cnf(c397,plain,
product(a32,a32) = a32,
inference(substitution,[status(thm)],[c2]) ).
cnf(c398,plain,
a32 = product(a32,a32),
inference(symmetry,[status(thm)],[c397]) ).
cnf(c399,plain,
product(a32,a11) = product(product(a32,a32),a11),
inference(congruence,[status(thm)],[c398]) ).
cnf(c400,plain,
a32 = a4,
inference(symmetry,[status(thm)],[c345]) ).
cnf(c401,plain,
product(a32,a32) = product(a32,a4),
inference(congruence,[status(thm)],[c400]) ).
cnf(c402,plain,
product(product(a32,a32),a11) = product(product(a32,a4),a11),
inference(congruence,[status(thm)],[c401]) ).
cnf(c403,axiom,
product(a11,a5) = a12,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c404,plain,
a12 = product(a11,a5),
inference(symmetry,[status(thm)],[c403]) ).
cnf(c405,plain,
product(product(X2,a5),a12) = product(product(X2,a5),product(a11,a5)),
inference(congruence,[status(thm)],[c404]) ).
cnf(c406,plain,
product(product(X2,a11),a5) = product(product(X2,a5),product(a11,a5)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c407,plain,
product(product(X2,a5),product(a11,a5)) = product(product(X2,a11),a5),
inference(symmetry,[status(thm)],[c406]) ).
cnf(c408,axiom,
product(a4,a11) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c409,plain,
a5 = product(a4,a11),
inference(symmetry,[status(thm)],[c408]) ).
cnf(c410,plain,
product(product(X2,a11),a5) = product(product(X2,a11),product(a4,a11)),
inference(congruence,[status(thm)],[c409]) ).
cnf(c411,plain,
product(product(X2,a4),a11) = product(product(X2,a11),product(a4,a11)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c412,plain,
product(product(X2,a11),product(a4,a11)) = product(product(X2,a4),a11),
inference(symmetry,[status(thm)],[c411]) ).
cnf(c413,plain,
product(product(X2,a11),a5) = product(product(X2,a4),a11),
inference(transitivity,[status(thm)],[c410,c412]) ).
cnf(c414,plain,
product(product(X2,a5),product(a11,a5)) = product(product(X2,a4),a11),
inference(transitivity,[status(thm)],[c407,c413]) ).
cnf(c415,plain,
product(product(X2,a5),a12) = product(product(X2,a4),a11),
inference(transitivity,[status(thm)],[c405,c414]) ).
cnf(c416,plain,
product(product(a32,a5),a12) = product(product(a32,a4),a11),
inference(substitution,[status(thm)],[c415]) ).
cnf(c417,plain,
product(product(a32,a4),a11) = product(product(a32,a5),a12),
inference(symmetry,[status(thm)],[c416]) ).
cnf(c418,plain,
product(product(product(a19,a12),a5),a5) = product(a19,a12),
inference(substitution,[status(thm)],[c8]) ).
cnf(c419,plain,
product(a19,a12) = product(product(product(a19,a12),a5),a5),
inference(symmetry,[status(thm)],[c418]) ).
cnf(c420,plain,
a12 = product(a11,a5),
inference(symmetry,[status(thm)],[c403]) ).
cnf(c421,plain,
product(a12,a5) = product(product(a11,a5),a5),
inference(congruence,[status(thm)],[c420]) ).
cnf(c422,plain,
product(product(a11,a5),a5) = a11,
inference(substitution,[status(thm)],[c8]) ).
cnf(c423,plain,
product(a12,a5) = a11,
inference(transitivity,[status(thm)],[c421,c422]) ).
cnf(c424,plain,
a11 = product(a12,a5),
inference(symmetry,[status(thm)],[c423]) ).
cnf(c425,plain,
product(product(X2,a5),a11) = product(product(X2,a5),product(a12,a5)),
inference(congruence,[status(thm)],[c424]) ).
cnf(c426,plain,
product(product(X2,a12),a5) = product(product(X2,a5),product(a12,a5)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c427,plain,
product(product(X2,a5),product(a12,a5)) = product(product(X2,a12),a5),
inference(symmetry,[status(thm)],[c426]) ).
cnf(c428,plain,
product(product(X2,a5),a11) = product(product(X2,a12),a5),
inference(transitivity,[status(thm)],[c425,c427]) ).
cnf(c429,plain,
product(product(a19,a5),a11) = product(product(a19,a12),a5),
inference(substitution,[status(thm)],[c428]) ).
cnf(c430,plain,
product(product(a19,a12),a5) = product(product(a19,a5),a11),
inference(symmetry,[status(thm)],[c429]) ).
cnf(c431,plain,
product(product(a19,X2),a11) = product(product(a19,a11),product(X2,a11)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c432,axiom,
product(a19,a11) = a20,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c433,plain,
product(product(a19,a11),product(X2,a11)) = product(a20,product(X2,a11)),
inference(congruence,[status(thm)],[c432]) ).
cnf(c434,plain,
product(product(a19,X2),a11) = product(a20,product(X2,a11)),
inference(transitivity,[status(thm)],[c431,c433]) ).
cnf(c435,plain,
product(product(a19,a5),a11) = product(a20,product(a5,a11)),
inference(substitution,[status(thm)],[c434]) ).
cnf(c436,plain,
product(a20,product(a5,a11)) = product(a32,product(a5,a11)),
inference(congruence,[status(thm)],[c395]) ).
cnf(c437,plain,
a5 = product(a4,a11),
inference(symmetry,[status(thm)],[c408]) ).
cnf(c438,plain,
product(a5,a11) = product(product(a4,a11),a11),
inference(congruence,[status(thm)],[c437]) ).
cnf(c439,plain,
product(product(a4,a11),a11) = a4,
inference(substitution,[status(thm)],[c8]) ).
cnf(c440,plain,
product(a5,a11) = a4,
inference(transitivity,[status(thm)],[c438,c439]) ).
cnf(c441,plain,
product(a32,product(a5,a11)) = product(a32,a4),
inference(congruence,[status(thm)],[c440]) ).
cnf(c442,plain,
product(a32,a4) = product(a32,a32),
inference(congruence,[status(thm)],[c345]) ).
cnf(c443,plain,
product(a32,a32) = a32,
inference(substitution,[status(thm)],[c2]) ).
cnf(c444,plain,
product(a32,a4) = a32,
inference(transitivity,[status(thm)],[c442,c443]) ).
cnf(c445,plain,
product(a32,product(a5,a11)) = a32,
inference(transitivity,[status(thm)],[c441,c444]) ).
cnf(c446,plain,
product(a20,product(a5,a11)) = a32,
inference(transitivity,[status(thm)],[c436,c445]) ).
cnf(c447,plain,
product(product(a19,a5),a11) = a32,
inference(transitivity,[status(thm)],[c435,c446]) ).
cnf(c448,plain,
product(product(a19,a12),a5) = a32,
inference(transitivity,[status(thm)],[c430,c447]) ).
cnf(c449,plain,
product(product(product(a19,a12),a5),a5) = product(a32,a5),
inference(congruence,[status(thm)],[c448]) ).
cnf(c450,plain,
product(a19,a12) = product(a32,a5),
inference(transitivity,[status(thm)],[c419,c449]) ).
cnf(c451,plain,
product(a32,a5) = product(a19,a12),
inference(symmetry,[status(thm)],[c450]) ).
cnf(c452,plain,
product(product(a32,a5),a12) = product(product(a19,a12),a12),
inference(congruence,[status(thm)],[c451]) ).
cnf(c453,plain,
product(product(a19,a12),a12) = a19,
inference(substitution,[status(thm)],[c8]) ).
cnf(c454,plain,
product(product(a32,a5),a12) = a19,
inference(transitivity,[status(thm)],[c452,c453]) ).
cnf(c455,plain,
product(product(a32,a4),a11) = a19,
inference(transitivity,[status(thm)],[c417,c454]) ).
cnf(c456,plain,
product(product(a32,a32),a11) = a19,
inference(transitivity,[status(thm)],[c402,c455]) ).
cnf(c457,plain,
product(a32,a11) = a19,
inference(transitivity,[status(thm)],[c399,c456]) ).
cnf(c458,plain,
a19 = product(a32,a11),
inference(symmetry,[status(thm)],[c457]) ).
cnf(c459,plain,
product(product(a11,a32),a32) = a11,
inference(substitution,[status(thm)],[c8]) ).
cnf(c460,plain,
a11 = product(product(a11,a32),a32),
inference(symmetry,[status(thm)],[c459]) ).
cnf(c461,plain,
product(a32,a11) = product(a32,product(product(a11,a32),a32)),
inference(congruence,[status(thm)],[c460]) ).
cnf(c462,plain,
product(product(a32,product(a11,a32)),a32) = product(a32,product(product(a11,a32),a32)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c463,plain,
product(a32,product(product(a11,a32),a32)) = product(product(a32,product(a11,a32)),a32),
inference(symmetry,[status(thm)],[c462]) ).
cnf(c464,plain,
a32 = a27,
inference(symmetry,[status(thm)],[c266]) ).
cnf(c465,plain,
product(a11,a32) = product(a11,a27),
inference(congruence,[status(thm)],[c464]) ).
cnf(c466,plain,
product(a32,product(a11,a32)) = product(a32,product(a11,a27)),
inference(congruence,[status(thm)],[c465]) ).
cnf(c467,plain,
a27 = a29,
inference(symmetry,[status(thm)],[c210]) ).
cnf(c468,plain,
product(a11,a27) = product(a11,a29),
inference(congruence,[status(thm)],[c467]) ).
cnf(c469,plain,
product(a32,product(a11,a27)) = product(a32,product(a11,a29)),
inference(congruence,[status(thm)],[c468]) ).
cnf(c470,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c471,plain,
product(a32,product(a11,a29)) = product(a1,product(a11,a29)),
inference(congruence,[status(thm)],[c470]) ).
cnf(c472,plain,
a1 = a3,
inference(symmetry,[status(thm)],[c155]) ).
cnf(c473,plain,
product(a1,product(a11,a29)) = product(a3,product(a11,a29)),
inference(congruence,[status(thm)],[c472]) ).
cnf(c474,plain,
product(product(a4,X2),a29) = product(product(a4,a29),product(X2,a29)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c475,plain,
a4 = product(a3,a29),
inference(symmetry,[status(thm)],[c336]) ).
cnf(c476,plain,
product(a4,a29) = product(product(a3,a29),a29),
inference(congruence,[status(thm)],[c475]) ).
cnf(c477,plain,
product(product(a3,a29),a29) = a3,
inference(substitution,[status(thm)],[c8]) ).
cnf(c478,plain,
product(a4,a29) = a3,
inference(transitivity,[status(thm)],[c476,c477]) ).
cnf(c479,plain,
product(product(a4,a29),product(X2,a29)) = product(a3,product(X2,a29)),
inference(congruence,[status(thm)],[c478]) ).
cnf(c480,plain,
product(product(a4,X2),a29) = product(a3,product(X2,a29)),
inference(transitivity,[status(thm)],[c474,c479]) ).
cnf(c481,plain,
product(product(a4,a11),a29) = product(a3,product(a11,a29)),
inference(substitution,[status(thm)],[c480]) ).
cnf(c482,plain,
product(a3,product(a11,a29)) = product(product(a4,a11),a29),
inference(symmetry,[status(thm)],[c481]) ).
cnf(c483,plain,
product(product(a4,a11),a29) = product(a5,a29),
inference(congruence,[status(thm)],[c408]) ).
cnf(c484,plain,
product(a5,a29) = product(a5,a27),
inference(congruence,[status(thm)],[c210]) ).
cnf(c485,plain,
product(a5,a27) = product(a5,a32),
inference(congruence,[status(thm)],[c266]) ).
cnf(c486,plain,
product(a5,a29) = product(a5,a32),
inference(transitivity,[status(thm)],[c484,c485]) ).
cnf(c487,plain,
product(product(a4,a11),a29) = product(a5,a32),
inference(transitivity,[status(thm)],[c483,c486]) ).
cnf(c488,plain,
product(a3,product(a11,a29)) = product(a5,a32),
inference(transitivity,[status(thm)],[c482,c487]) ).
cnf(c489,plain,
product(a1,product(a11,a29)) = product(a5,a32),
inference(transitivity,[status(thm)],[c473,c488]) ).
cnf(c490,plain,
product(a32,product(a11,a29)) = product(a5,a32),
inference(transitivity,[status(thm)],[c471,c489]) ).
cnf(c491,plain,
product(a32,product(a11,a27)) = product(a5,a32),
inference(transitivity,[status(thm)],[c469,c490]) ).
cnf(c492,plain,
product(a32,product(a11,a32)) = product(a5,a32),
inference(transitivity,[status(thm)],[c466,c491]) ).
cnf(c493,plain,
product(product(a32,product(a11,a32)),a32) = product(product(a5,a32),a32),
inference(congruence,[status(thm)],[c492]) ).
cnf(c494,plain,
product(product(a5,a32),a32) = a5,
inference(substitution,[status(thm)],[c8]) ).
cnf(c495,plain,
product(product(a32,product(a11,a32)),a32) = a5,
inference(transitivity,[status(thm)],[c493,c494]) ).
cnf(c496,plain,
product(a32,product(product(a11,a32),a32)) = a5,
inference(transitivity,[status(thm)],[c463,c495]) ).
cnf(c497,plain,
product(a32,a11) = a5,
inference(transitivity,[status(thm)],[c461,c496]) ).
cnf(c498,plain,
a19 = a5,
inference(transitivity,[status(thm)],[c458,c497]) ).
cnf(c499,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c498]) ).
cnf(c500,axiom,
product(a16,a19) = a17,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c501,plain,
a17 = product(a16,a19),
inference(symmetry,[status(thm)],[c500]) ).
cnf(c502,plain,
product(a16,a19) = product(a16,a5),
inference(congruence,[status(thm)],[c498]) ).
cnf(c503,axiom,
product(a15,a5) = a16,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c504,plain,
a16 = product(a15,a5),
inference(symmetry,[status(thm)],[c503]) ).
cnf(c505,plain,
product(a16,a5) = product(product(a15,a5),a5),
inference(congruence,[status(thm)],[c504]) ).
cnf(c506,plain,
product(product(a15,a5),a5) = a15,
inference(substitution,[status(thm)],[c8]) ).
cnf(c507,plain,
product(a16,a5) = a15,
inference(transitivity,[status(thm)],[c505,c506]) ).
cnf(c508,plain,
product(a16,a19) = a15,
inference(transitivity,[status(thm)],[c502,c507]) ).
cnf(c509,plain,
a17 = a15,
inference(transitivity,[status(thm)],[c501,c508]) ).
cnf(c510,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c509]) ).
cnf(c511,axiom,
product(a18,a15) = a19,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c512,plain,
a19 = product(a18,a15),
inference(symmetry,[status(thm)],[c511]) ).
cnf(c513,plain,
product(a19,a15) = product(product(a18,a15),a15),
inference(congruence,[status(thm)],[c512]) ).
cnf(c514,plain,
product(product(a18,a15),a15) = a18,
inference(substitution,[status(thm)],[c8]) ).
cnf(c515,plain,
product(a19,a15) = a18,
inference(transitivity,[status(thm)],[c513,c514]) ).
cnf(c516,plain,
a18 = product(a19,a15),
inference(symmetry,[status(thm)],[c515]) ).
cnf(c517,plain,
product(a19,a15) = product(a5,a15),
inference(congruence,[status(thm)],[c498]) ).
cnf(c518,axiom,
product(a5,a15) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c519,plain,
product(a19,a15) = a6,
inference(transitivity,[status(thm)],[c517,c518]) ).
cnf(c520,plain,
a18 = a6,
inference(transitivity,[status(thm)],[c516,c519]) ).
cnf(c521,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c520]) ).
cnf(c522,plain,
a11 = product(a12,a5),
inference(symmetry,[status(thm)],[c423]) ).
cnf(c523,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c524,plain,
product(a12,a5) = product(a12,a19),
inference(congruence,[status(thm)],[c523]) ).
cnf(c525,axiom,
product(a12,a19) = a13,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c526,plain,
product(a12,a5) = a13,
inference(transitivity,[status(thm)],[c524,c525]) ).
cnf(c527,plain,
a11 = a13,
inference(transitivity,[status(thm)],[c522,c526]) ).
cnf(c528,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c527]) ).
cnf(c529,plain,
product(a15,a15) = a15,
inference(substitution,[status(thm)],[c2]) ).
cnf(c530,plain,
a15 = product(a15,a15),
inference(symmetry,[status(thm)],[c529]) ).
cnf(c531,plain,
a15 = a17,
inference(symmetry,[status(thm)],[c509]) ).
cnf(c532,plain,
product(a15,a15) = product(a15,a17),
inference(congruence,[status(thm)],[c531]) ).
cnf(c533,axiom,
product(a14,a17) = a15,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c534,plain,
a15 = product(a14,a17),
inference(symmetry,[status(thm)],[c533]) ).
cnf(c535,plain,
product(a15,a17) = product(product(a14,a17),a17),
inference(congruence,[status(thm)],[c534]) ).
cnf(c536,plain,
product(product(a14,a17),a17) = a14,
inference(substitution,[status(thm)],[c8]) ).
cnf(c537,plain,
product(a15,a17) = a14,
inference(transitivity,[status(thm)],[c535,c536]) ).
cnf(c538,plain,
product(a15,a15) = a14,
inference(transitivity,[status(thm)],[c532,c537]) ).
cnf(c539,plain,
a15 = a14,
inference(transitivity,[status(thm)],[c530,c538]) ).
cnf(c540,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c539]) ).
cnf(c541,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c539]) ).
cnf(c542,axiom,
product(a8,a5) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c543,plain,
a9 = product(a8,a5),
inference(symmetry,[status(thm)],[c542]) ).
cnf(c544,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c545,plain,
product(a8,a5) = product(a8,a19),
inference(congruence,[status(thm)],[c544]) ).
cnf(c546,axiom,
product(a7,a19) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c547,plain,
a8 = product(a7,a19),
inference(symmetry,[status(thm)],[c546]) ).
cnf(c548,plain,
product(a8,a19) = product(product(a7,a19),a19),
inference(congruence,[status(thm)],[c547]) ).
cnf(c549,plain,
product(product(a7,a19),a19) = a7,
inference(substitution,[status(thm)],[c8]) ).
cnf(c550,plain,
product(a8,a19) = a7,
inference(transitivity,[status(thm)],[c548,c549]) ).
cnf(c551,plain,
product(a8,a5) = a7,
inference(transitivity,[status(thm)],[c545,c550]) ).
cnf(c552,plain,
a9 = a7,
inference(transitivity,[status(thm)],[c543,c551]) ).
cnf(c553,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c552]) ).
cnf(c554,axiom,
product(a13,a7) = a14,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c555,plain,
a14 = product(a13,a7),
inference(symmetry,[status(thm)],[c554]) ).
cnf(c556,plain,
product(a14,a7) = product(product(a13,a7),a7),
inference(congruence,[status(thm)],[c555]) ).
cnf(c557,plain,
product(product(a13,a7),a7) = a13,
inference(substitution,[status(thm)],[c8]) ).
cnf(c558,plain,
product(a14,a7) = a13,
inference(transitivity,[status(thm)],[c556,c557]) ).
cnf(c559,plain,
a13 = product(a14,a7),
inference(symmetry,[status(thm)],[c558]) ).
cnf(c560,plain,
a14 = a15,
inference(symmetry,[status(thm)],[c539]) ).
cnf(c561,plain,
product(a14,a7) = product(a15,a7),
inference(congruence,[status(thm)],[c560]) ).
cnf(c562,plain,
a15 = a17,
inference(symmetry,[status(thm)],[c509]) ).
cnf(c563,plain,
product(a15,a7) = product(a17,a7),
inference(congruence,[status(thm)],[c562]) ).
cnf(c564,plain,
a7 = a9,
inference(symmetry,[status(thm)],[c552]) ).
cnf(c565,plain,
product(a17,a7) = product(a17,a9),
inference(congruence,[status(thm)],[c564]) ).
cnf(c566,axiom,
product(a17,a9) = a18,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c567,plain,
product(a17,a9) = a6,
inference(transitivity,[status(thm)],[c566,c520]) ).
cnf(c568,plain,
product(a17,a7) = a6,
inference(transitivity,[status(thm)],[c565,c567]) ).
cnf(c569,plain,
product(a15,a7) = a6,
inference(transitivity,[status(thm)],[c563,c568]) ).
cnf(c570,plain,
product(a14,a7) = a6,
inference(transitivity,[status(thm)],[c561,c569]) ).
cnf(c571,plain,
a13 = a6,
inference(transitivity,[status(thm)],[c559,c570]) ).
cnf(c572,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c571]) ).
cnf(c573,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c571]) ).
cnf(c574,plain,
a14 = product(a13,a7),
inference(symmetry,[status(thm)],[c554]) ).
cnf(c575,plain,
a13 = a11,
inference(symmetry,[status(thm)],[c527]) ).
cnf(c576,plain,
product(a13,a7) = product(a11,a7),
inference(congruence,[status(thm)],[c575]) ).
cnf(c577,axiom,
product(a10,a7) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c578,plain,
a11 = product(a10,a7),
inference(symmetry,[status(thm)],[c577]) ).
cnf(c579,plain,
product(a11,a7) = product(product(a10,a7),a7),
inference(congruence,[status(thm)],[c578]) ).
cnf(c580,plain,
product(product(a10,a7),a7) = a10,
inference(substitution,[status(thm)],[c8]) ).
cnf(c581,plain,
product(a11,a7) = a10,
inference(transitivity,[status(thm)],[c579,c580]) ).
cnf(c582,plain,
product(a13,a7) = a10,
inference(transitivity,[status(thm)],[c576,c581]) ).
cnf(c583,plain,
a14 = a10,
inference(transitivity,[status(thm)],[c574,c582]) ).
cnf(c584,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c583]) ).
cnf(c585,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c583]) ).
cnf(c586,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c583]) ).
cnf(c587,plain,
a7 = a9,
inference(symmetry,[status(thm)],[c552]) ).
cnf(c588,axiom,
product(a9,a17) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c589,plain,
a10 = product(a9,a17),
inference(symmetry,[status(thm)],[c588]) ).
cnf(c590,plain,
product(a10,a17) = product(product(a9,a17),a17),
inference(congruence,[status(thm)],[c589]) ).
cnf(c591,plain,
product(product(a9,a17),a17) = a9,
inference(substitution,[status(thm)],[c8]) ).
cnf(c592,plain,
product(a10,a17) = a9,
inference(transitivity,[status(thm)],[c590,c591]) ).
cnf(c593,plain,
a9 = product(a10,a17),
inference(symmetry,[status(thm)],[c592]) ).
cnf(c594,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c595,plain,
product(a10,a17) = product(a14,a17),
inference(congruence,[status(thm)],[c594]) ).
cnf(c596,plain,
a15 = a10,
inference(transitivity,[status(thm)],[c539,c583]) ).
cnf(c597,plain,
product(a14,a17) = a10,
inference(transitivity,[status(thm)],[c533,c596]) ).
cnf(c598,plain,
product(a10,a17) = a10,
inference(transitivity,[status(thm)],[c595,c597]) ).
cnf(c599,plain,
a9 = a10,
inference(transitivity,[status(thm)],[c593,c598]) ).
cnf(c600,plain,
a7 = a10,
inference(transitivity,[status(thm)],[c587,c599]) ).
cnf(c601,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c600]) ).
cnf(c602,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c600]) ).
cnf(c603,plain,
product(a10,a10) = a10,
inference(substitution,[status(thm)],[c2]) ).
cnf(c604,plain,
a10 = product(a10,a10),
inference(symmetry,[status(thm)],[c603]) ).
cnf(c605,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c606,plain,
product(a10,a10) = product(a10,a14),
inference(congruence,[status(thm)],[c605]) ).
cnf(c607,plain,
a14 = a15,
inference(symmetry,[status(thm)],[c539]) ).
cnf(c608,plain,
product(a10,a14) = product(a10,a15),
inference(congruence,[status(thm)],[c607]) ).
cnf(c609,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c610,plain,
product(a10,a15) = product(a14,a15),
inference(congruence,[status(thm)],[c609]) ).
cnf(c611,plain,
a15 = product(a14,a17),
inference(symmetry,[status(thm)],[c533]) ).
cnf(c612,plain,
product(product(X2,a17),a15) = product(product(X2,a17),product(a14,a17)),
inference(congruence,[status(thm)],[c611]) ).
cnf(c613,plain,
product(product(X2,a14),a17) = product(product(X2,a17),product(a14,a17)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c614,plain,
product(product(X2,a17),product(a14,a17)) = product(product(X2,a14),a17),
inference(symmetry,[status(thm)],[c613]) ).
cnf(c615,plain,
product(product(X2,a17),a15) = product(product(X2,a14),a17),
inference(transitivity,[status(thm)],[c612,c614]) ).
cnf(c616,plain,
product(product(a15,a17),a15) = product(product(a15,a14),a17),
inference(substitution,[status(thm)],[c615]) ).
cnf(c617,plain,
product(product(a15,a14),a17) = product(product(a15,a17),a15),
inference(symmetry,[status(thm)],[c616]) ).
cnf(c618,plain,
product(product(a15,a17),a15) = product(a14,a15),
inference(congruence,[status(thm)],[c537]) ).
cnf(c619,plain,
product(product(a15,a14),a17) = product(a14,a15),
inference(transitivity,[status(thm)],[c617,c618]) ).
cnf(c620,plain,
product(a14,a15) = product(product(a15,a14),a17),
inference(symmetry,[status(thm)],[c619]) ).
cnf(c621,plain,
product(a15,a14) = product(a15,a10),
inference(congruence,[status(thm)],[c583]) ).
cnf(c622,plain,
product(product(a15,a14),a17) = product(product(a15,a10),a17),
inference(congruence,[status(thm)],[c621]) ).
cnf(c623,plain,
product(product(a15,X2),a17) = product(product(a15,a17),product(X2,a17)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c624,plain,
product(product(a15,a17),product(X2,a17)) = product(a14,product(X2,a17)),
inference(congruence,[status(thm)],[c537]) ).
cnf(c625,plain,
product(product(a15,X2),a17) = product(a14,product(X2,a17)),
inference(transitivity,[status(thm)],[c623,c624]) ).
cnf(c626,plain,
product(product(a15,a10),a17) = product(a14,product(a10,a17)),
inference(substitution,[status(thm)],[c625]) ).
cnf(c627,plain,
product(a14,product(a10,a17)) = product(a10,product(a10,a17)),
inference(congruence,[status(thm)],[c583]) ).
cnf(c628,plain,
product(a10,product(a10,a17)) = product(a10,a9),
inference(congruence,[status(thm)],[c592]) ).
cnf(c629,plain,
product(a10,a9) = product(a10,a7),
inference(congruence,[status(thm)],[c552]) ).
cnf(c630,plain,
a11 = a6,
inference(transitivity,[status(thm)],[c527,c571]) ).
cnf(c631,plain,
product(a10,a7) = a6,
inference(transitivity,[status(thm)],[c577,c630]) ).
cnf(c632,plain,
product(a10,a9) = a6,
inference(transitivity,[status(thm)],[c629,c631]) ).
cnf(c633,plain,
product(a10,product(a10,a17)) = a6,
inference(transitivity,[status(thm)],[c628,c632]) ).
cnf(c634,plain,
product(a14,product(a10,a17)) = a6,
inference(transitivity,[status(thm)],[c627,c633]) ).
cnf(c635,plain,
product(product(a15,a10),a17) = a6,
inference(transitivity,[status(thm)],[c626,c634]) ).
cnf(c636,plain,
product(product(a15,a14),a17) = a6,
inference(transitivity,[status(thm)],[c622,c635]) ).
cnf(c637,plain,
product(a14,a15) = a6,
inference(transitivity,[status(thm)],[c620,c636]) ).
cnf(c638,plain,
product(a10,a15) = a6,
inference(transitivity,[status(thm)],[c610,c637]) ).
cnf(c639,plain,
product(a10,a14) = a6,
inference(transitivity,[status(thm)],[c608,c638]) ).
cnf(c640,plain,
product(a10,a10) = a6,
inference(transitivity,[status(thm)],[c606,c639]) ).
cnf(c641,plain,
a10 = a6,
inference(transitivity,[status(thm)],[c604,c640]) ).
cnf(c642,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c643,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c644,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c645,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c646,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c647,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c641]) ).
cnf(c648,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c649,plain,
a19 = product(a32,a11),
inference(symmetry,[status(thm)],[c457]) ).
cnf(c650,plain,
a32 = a4,
inference(symmetry,[status(thm)],[c345]) ).
cnf(c651,plain,
product(a32,a5) = product(a4,a5),
inference(congruence,[status(thm)],[c650]) ).
cnf(c652,plain,
a12 = product(a11,a5),
inference(symmetry,[status(thm)],[c403]) ).
cnf(c653,plain,
product(a5,a12) = product(a5,product(a11,a5)),
inference(congruence,[status(thm)],[c652]) ).
cnf(c654,plain,
product(product(a5,a11),a5) = product(a5,product(a11,a5)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c655,plain,
product(a5,product(a11,a5)) = product(product(a5,a11),a5),
inference(symmetry,[status(thm)],[c654]) ).
cnf(c656,plain,
product(product(a5,a11),a5) = product(a4,a5),
inference(congruence,[status(thm)],[c440]) ).
cnf(c657,plain,
product(a5,product(a11,a5)) = product(a4,a5),
inference(transitivity,[status(thm)],[c655,c656]) ).
cnf(c658,plain,
product(a5,a12) = product(a4,a5),
inference(transitivity,[status(thm)],[c653,c657]) ).
cnf(c659,plain,
product(a4,a5) = product(a5,a12),
inference(symmetry,[status(thm)],[c658]) ).
cnf(c660,plain,
a14 = product(a13,a7),
inference(symmetry,[status(thm)],[c554]) ).
cnf(c661,plain,
product(a14,a19) = product(product(a13,a7),a19),
inference(congruence,[status(thm)],[c660]) ).
cnf(c662,plain,
a8 = product(a7,a19),
inference(symmetry,[status(thm)],[c546]) ).
cnf(c663,plain,
product(product(X2,a19),a8) = product(product(X2,a19),product(a7,a19)),
inference(congruence,[status(thm)],[c662]) ).
cnf(c664,plain,
product(product(X2,a7),a19) = product(product(X2,a19),product(a7,a19)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c665,plain,
product(product(X2,a19),product(a7,a19)) = product(product(X2,a7),a19),
inference(symmetry,[status(thm)],[c664]) ).
cnf(c666,plain,
product(product(X2,a19),a8) = product(product(X2,a7),a19),
inference(transitivity,[status(thm)],[c663,c665]) ).
cnf(c667,plain,
product(product(a13,a19),a8) = product(product(a13,a7),a19),
inference(substitution,[status(thm)],[c666]) ).
cnf(c668,plain,
product(product(a13,a7),a19) = product(product(a13,a19),a8),
inference(symmetry,[status(thm)],[c667]) ).
cnf(c669,plain,
a13 = product(a12,a19),
inference(symmetry,[status(thm)],[c525]) ).
cnf(c670,plain,
product(a13,a19) = product(product(a12,a19),a19),
inference(congruence,[status(thm)],[c669]) ).
cnf(c671,plain,
product(product(a12,a19),a19) = a12,
inference(substitution,[status(thm)],[c8]) ).
cnf(c672,plain,
product(a13,a19) = a12,
inference(transitivity,[status(thm)],[c670,c671]) ).
cnf(c673,plain,
product(product(a13,a19),a8) = product(a12,a8),
inference(congruence,[status(thm)],[c672]) ).
cnf(c674,plain,
product(product(a13,a7),a19) = product(a12,a8),
inference(transitivity,[status(thm)],[c668,c673]) ).
cnf(c675,plain,
product(a14,a19) = product(a12,a8),
inference(transitivity,[status(thm)],[c661,c674]) ).
cnf(c676,plain,
product(a12,a8) = product(a14,a19),
inference(symmetry,[status(thm)],[c675]) ).
cnf(c677,plain,
product(a14,a19) = product(a14,a5),
inference(congruence,[status(thm)],[c498]) ).
cnf(c678,plain,
product(a14,a5) = product(a10,a5),
inference(congruence,[status(thm)],[c583]) ).
cnf(c679,plain,
product(a10,a5) = product(a6,a5),
inference(congruence,[status(thm)],[c641]) ).
cnf(c680,plain,
a6 = a13,
inference(symmetry,[status(thm)],[c571]) ).
cnf(c681,plain,
product(a6,a5) = product(a13,a5),
inference(congruence,[status(thm)],[c680]) ).
cnf(c682,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c683,plain,
product(a13,a5) = product(a13,a19),
inference(congruence,[status(thm)],[c682]) ).
cnf(c684,plain,
product(a13,a5) = a12,
inference(transitivity,[status(thm)],[c683,c672]) ).
cnf(c685,plain,
product(a6,a5) = a12,
inference(transitivity,[status(thm)],[c681,c684]) ).
cnf(c686,plain,
product(a10,a5) = a12,
inference(transitivity,[status(thm)],[c679,c685]) ).
cnf(c687,plain,
product(a14,a5) = a12,
inference(transitivity,[status(thm)],[c678,c686]) ).
cnf(c688,plain,
product(a14,a19) = a12,
inference(transitivity,[status(thm)],[c677,c687]) ).
cnf(c689,plain,
product(a12,a8) = a12,
inference(transitivity,[status(thm)],[c676,c688]) ).
cnf(c690,plain,
a12 = product(a12,a8),
inference(symmetry,[status(thm)],[c689]) ).
cnf(c691,plain,
product(a5,a12) = product(a5,product(a12,a8)),
inference(congruence,[status(thm)],[c690]) ).
cnf(c692,plain,
product(a12,a8) = product(a14,a19),
inference(symmetry,[status(thm)],[c675]) ).
cnf(c693,plain,
product(a5,product(a12,a8)) = product(a5,product(a14,a19)),
inference(congruence,[status(thm)],[c692]) ).
cnf(c694,plain,
a14 = a15,
inference(symmetry,[status(thm)],[c539]) ).
cnf(c695,plain,
product(a14,a19) = product(a15,a19),
inference(congruence,[status(thm)],[c694]) ).
cnf(c696,plain,
product(a5,product(a14,a19)) = product(a5,product(a15,a19)),
inference(congruence,[status(thm)],[c695]) ).
cnf(c697,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c698,plain,
product(a5,product(a15,a19)) = product(a19,product(a15,a19)),
inference(congruence,[status(thm)],[c697]) ).
cnf(c699,plain,
product(product(a19,a15),a19) = product(a19,product(a15,a19)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c700,plain,
product(a19,product(a15,a19)) = product(product(a19,a15),a19),
inference(symmetry,[status(thm)],[c699]) ).
cnf(c701,plain,
product(product(a19,a15),a19) = product(a18,a19),
inference(congruence,[status(thm)],[c515]) ).
cnf(c702,plain,
product(a19,product(a15,a19)) = product(a18,a19),
inference(transitivity,[status(thm)],[c700,c701]) ).
cnf(c703,plain,
product(a18,a19) = product(a6,a19),
inference(congruence,[status(thm)],[c520]) ).
cnf(c704,plain,
product(a6,a19) = product(a6,a5),
inference(congruence,[status(thm)],[c498]) ).
cnf(c705,plain,
product(a6,a19) = a12,
inference(transitivity,[status(thm)],[c704,c685]) ).
cnf(c706,plain,
product(a18,a19) = a12,
inference(transitivity,[status(thm)],[c703,c705]) ).
cnf(c707,plain,
product(a19,product(a15,a19)) = a12,
inference(transitivity,[status(thm)],[c702,c706]) ).
cnf(c708,plain,
product(a5,product(a15,a19)) = a12,
inference(transitivity,[status(thm)],[c698,c707]) ).
cnf(c709,plain,
product(a5,product(a14,a19)) = a12,
inference(transitivity,[status(thm)],[c696,c708]) ).
cnf(c710,plain,
product(a5,product(a12,a8)) = a12,
inference(transitivity,[status(thm)],[c693,c709]) ).
cnf(c711,plain,
product(a5,a12) = a12,
inference(transitivity,[status(thm)],[c691,c710]) ).
cnf(c712,plain,
product(a4,a5) = a12,
inference(transitivity,[status(thm)],[c659,c711]) ).
cnf(c713,plain,
product(a32,a5) = a12,
inference(transitivity,[status(thm)],[c651,c712]) ).
cnf(c714,plain,
a12 = product(a32,a5),
inference(symmetry,[status(thm)],[c713]) ).
cnf(c715,plain,
product(a12,a5) = product(product(a32,a5),a5),
inference(congruence,[status(thm)],[c714]) ).
cnf(c716,plain,
product(product(a32,a5),a5) = a32,
inference(substitution,[status(thm)],[c8]) ).
cnf(c717,plain,
product(a12,a5) = a32,
inference(transitivity,[status(thm)],[c715,c716]) ).
cnf(c718,plain,
a32 = product(a12,a5),
inference(symmetry,[status(thm)],[c717]) ).
cnf(c719,plain,
product(a32,a11) = product(product(a12,a5),a11),
inference(congruence,[status(thm)],[c718]) ).
cnf(c720,plain,
product(product(X2,a5),a11) = product(product(X2,a11),product(a5,a11)),
inference(substitution,[status(thm)],[c13]) ).
cnf(c721,plain,
product(product(X2,a11),product(a5,a11)) = product(product(X2,a11),a4),
inference(congruence,[status(thm)],[c440]) ).
cnf(c722,plain,
product(product(X2,a5),a11) = product(product(X2,a11),a4),
inference(transitivity,[status(thm)],[c720,c721]) ).
cnf(c723,plain,
product(product(a12,a5),a11) = product(product(a12,a11),a4),
inference(substitution,[status(thm)],[c722]) ).
cnf(c724,plain,
a4 = product(a5,a11),
inference(symmetry,[status(thm)],[c440]) ).
cnf(c725,plain,
product(a11,a4) = product(a11,product(a5,a11)),
inference(congruence,[status(thm)],[c724]) ).
cnf(c726,plain,
product(product(a11,a5),a11) = product(a11,product(a5,a11)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c727,plain,
product(a11,product(a5,a11)) = product(product(a11,a5),a11),
inference(symmetry,[status(thm)],[c726]) ).
cnf(c728,plain,
product(product(a11,a5),a11) = product(a12,a11),
inference(congruence,[status(thm)],[c403]) ).
cnf(c729,plain,
product(a11,product(a5,a11)) = product(a12,a11),
inference(transitivity,[status(thm)],[c727,c728]) ).
cnf(c730,plain,
product(a11,a4) = product(a12,a11),
inference(transitivity,[status(thm)],[c725,c729]) ).
cnf(c731,plain,
product(a12,a11) = product(a11,a4),
inference(symmetry,[status(thm)],[c730]) ).
cnf(c732,plain,
product(product(a12,a11),a4) = product(product(a11,a4),a4),
inference(congruence,[status(thm)],[c731]) ).
cnf(c733,plain,
product(product(a11,a4),a4) = a11,
inference(substitution,[status(thm)],[c8]) ).
cnf(c734,plain,
product(product(a12,a11),a4) = a11,
inference(transitivity,[status(thm)],[c732,c733]) ).
cnf(c735,plain,
a11 = product(a12,a5),
inference(symmetry,[status(thm)],[c423]) ).
cnf(c736,plain,
a11 = a32,
inference(transitivity,[status(thm)],[c735,c717]) ).
cnf(c737,plain,
product(product(a12,a11),a4) = a32,
inference(transitivity,[status(thm)],[c734,c736]) ).
cnf(c738,plain,
product(product(a12,a5),a11) = a32,
inference(transitivity,[status(thm)],[c723,c737]) ).
cnf(c739,plain,
product(a32,a11) = a32,
inference(transitivity,[status(thm)],[c719,c738]) ).
cnf(c740,plain,
a19 = a32,
inference(transitivity,[status(thm)],[c649,c739]) ).
cnf(c741,plain,
a5 = a32,
inference(transitivity,[status(thm)],[c648,c740]) ).
cnf(c742,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c741]) ).
cnf(c743,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c741]) ).
cnf(c744,plain,
a32 = product(a12,a5),
inference(symmetry,[status(thm)],[c717]) ).
cnf(c745,plain,
product(a12,a5) = a6,
inference(transitivity,[status(thm)],[c526,c571]) ).
cnf(c746,plain,
a32 = a6,
inference(transitivity,[status(thm)],[c744,c745]) ).
cnf(c747,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c748,plain,
tuple(a6,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c749,plain,
tuple(a6,a6,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c750,plain,
tuple(a6,a6,a6,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c751,plain,
tuple(a6,a6,a6,a6,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c752,plain,
tuple(a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c753,plain,
tuple(a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c754,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c755,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c756,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c757,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c758,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c759,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c760,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a32,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c761,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a32,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a32,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c762,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a32,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a32,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c763,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a32,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a32),
inference(congruence,[status(thm)],[c746]) ).
cnf(c764,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a32) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c746]) ).
cnf(c765,plain,
product(product(a12,a6),a6) = a12,
inference(substitution,[status(thm)],[c8]) ).
cnf(c766,plain,
a12 = product(product(a12,a6),a6),
inference(symmetry,[status(thm)],[c765]) ).
cnf(c767,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c768,plain,
product(product(a12,a6),a6) = product(product(a12,a6),a32),
inference(congruence,[status(thm)],[c767]) ).
cnf(c769,plain,
a32 = a4,
inference(symmetry,[status(thm)],[c345]) ).
cnf(c770,plain,
product(product(a12,a6),a32) = product(product(a12,a6),a4),
inference(congruence,[status(thm)],[c769]) ).
cnf(c771,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c772,plain,
product(a12,a6) = product(a12,a32),
inference(congruence,[status(thm)],[c771]) ).
cnf(c773,plain,
product(product(a12,a6),a4) = product(product(a12,a32),a4),
inference(congruence,[status(thm)],[c772]) ).
cnf(c774,plain,
a32 = a11,
inference(symmetry,[status(thm)],[c736]) ).
cnf(c775,plain,
product(a12,a32) = product(a12,a11),
inference(congruence,[status(thm)],[c774]) ).
cnf(c776,plain,
product(product(a12,a32),a4) = product(product(a12,a11),a4),
inference(congruence,[status(thm)],[c775]) ).
cnf(c777,plain,
a11 = a6,
inference(transitivity,[status(thm)],[c736,c746]) ).
cnf(c778,plain,
product(product(a12,a11),a4) = a6,
inference(transitivity,[status(thm)],[c734,c777]) ).
cnf(c779,plain,
product(product(a12,a32),a4) = a6,
inference(transitivity,[status(thm)],[c776,c778]) ).
cnf(c780,plain,
product(product(a12,a6),a4) = a6,
inference(transitivity,[status(thm)],[c773,c779]) ).
cnf(c781,plain,
product(product(a12,a6),a32) = a6,
inference(transitivity,[status(thm)],[c770,c780]) ).
cnf(c782,plain,
product(product(a12,a6),a6) = a6,
inference(transitivity,[status(thm)],[c768,c781]) ).
cnf(c783,plain,
a12 = a6,
inference(transitivity,[status(thm)],[c766,c782]) ).
cnf(c784,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c783]) ).
cnf(c785,plain,
product(product(a16,a6),a6) = a16,
inference(substitution,[status(thm)],[c8]) ).
cnf(c786,plain,
a16 = product(product(a16,a6),a6),
inference(symmetry,[status(thm)],[c785]) ).
cnf(c787,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c788,plain,
product(product(a16,a6),a6) = product(product(a16,a6),a32),
inference(congruence,[status(thm)],[c787]) ).
cnf(c789,plain,
a32 = a11,
inference(symmetry,[status(thm)],[c736]) ).
cnf(c790,plain,
product(product(a16,a6),a32) = product(product(a16,a6),a11),
inference(congruence,[status(thm)],[c789]) ).
cnf(c791,plain,
a6 = a12,
inference(symmetry,[status(thm)],[c783]) ).
cnf(c792,plain,
product(a16,a6) = product(a16,a12),
inference(congruence,[status(thm)],[c791]) ).
cnf(c793,plain,
product(product(a16,a6),a11) = product(product(a16,a12),a11),
inference(congruence,[status(thm)],[c792]) ).
cnf(c794,plain,
product(product(a15,a5),a12) = product(product(a15,a4),a11),
inference(substitution,[status(thm)],[c415]) ).
cnf(c795,plain,
product(product(a15,a4),a11) = product(product(a15,a5),a12),
inference(symmetry,[status(thm)],[c794]) ).
cnf(c796,plain,
product(product(a15,a5),a12) = product(a16,a12),
inference(congruence,[status(thm)],[c503]) ).
cnf(c797,plain,
product(product(a15,a4),a11) = product(a16,a12),
inference(transitivity,[status(thm)],[c795,c796]) ).
cnf(c798,plain,
product(a16,a12) = product(product(a15,a4),a11),
inference(symmetry,[status(thm)],[c797]) ).
cnf(c799,plain,
product(product(a16,a12),a11) = product(product(product(a15,a4),a11),a11),
inference(congruence,[status(thm)],[c798]) ).
cnf(c800,plain,
product(product(product(a15,a4),a11),a11) = product(a15,a4),
inference(substitution,[status(thm)],[c8]) ).
cnf(c801,plain,
product(product(a16,a12),a11) = product(a15,a4),
inference(transitivity,[status(thm)],[c799,c800]) ).
cnf(c802,plain,
product(a15,a4) = product(a14,a4),
inference(congruence,[status(thm)],[c539]) ).
cnf(c803,plain,
product(a14,a4) = product(a10,a4),
inference(congruence,[status(thm)],[c583]) ).
cnf(c804,plain,
product(a10,a4) = product(a6,a4),
inference(congruence,[status(thm)],[c641]) ).
cnf(c805,plain,
product(a6,a4) = product(a6,a32),
inference(congruence,[status(thm)],[c345]) ).
cnf(c806,plain,
product(a6,a32) = product(a6,a6),
inference(congruence,[status(thm)],[c746]) ).
cnf(c807,plain,
product(a6,a6) = a6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c808,plain,
product(a6,a32) = a6,
inference(transitivity,[status(thm)],[c806,c807]) ).
cnf(c809,plain,
product(a6,a4) = a6,
inference(transitivity,[status(thm)],[c805,c808]) ).
cnf(c810,plain,
product(a10,a4) = a6,
inference(transitivity,[status(thm)],[c804,c809]) ).
cnf(c811,plain,
product(a14,a4) = a6,
inference(transitivity,[status(thm)],[c803,c810]) ).
cnf(c812,plain,
product(a15,a4) = a6,
inference(transitivity,[status(thm)],[c802,c811]) ).
cnf(c813,plain,
product(product(a16,a12),a11) = a6,
inference(transitivity,[status(thm)],[c801,c812]) ).
cnf(c814,plain,
product(product(a16,a6),a11) = a6,
inference(transitivity,[status(thm)],[c793,c813]) ).
cnf(c815,plain,
product(product(a16,a6),a32) = a6,
inference(transitivity,[status(thm)],[c790,c814]) ).
cnf(c816,plain,
product(product(a16,a6),a6) = a6,
inference(transitivity,[status(thm)],[c788,c815]) ).
cnf(c817,plain,
a16 = a6,
inference(transitivity,[status(thm)],[c786,c816]) ).
cnf(c818,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c817]) ).
cnf(c819,plain,
product(product(a8,a6),a6) = a8,
inference(substitution,[status(thm)],[c8]) ).
cnf(c820,plain,
a8 = product(product(a8,a6),a6),
inference(symmetry,[status(thm)],[c819]) ).
cnf(c821,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c822,plain,
product(product(a8,a6),a6) = product(product(a8,a6),a32),
inference(congruence,[status(thm)],[c821]) ).
cnf(c823,plain,
a32 = a11,
inference(symmetry,[status(thm)],[c736]) ).
cnf(c824,plain,
product(product(a8,a6),a32) = product(product(a8,a6),a11),
inference(congruence,[status(thm)],[c823]) ).
cnf(c825,plain,
a6 = a12,
inference(symmetry,[status(thm)],[c783]) ).
cnf(c826,plain,
product(a8,a6) = product(a8,a12),
inference(congruence,[status(thm)],[c825]) ).
cnf(c827,plain,
product(product(a8,a6),a11) = product(product(a8,a12),a11),
inference(congruence,[status(thm)],[c826]) ).
cnf(c828,plain,
product(product(a9,a5),a12) = product(product(a9,a4),a11),
inference(substitution,[status(thm)],[c415]) ).
cnf(c829,plain,
product(product(a9,a4),a11) = product(product(a9,a5),a12),
inference(symmetry,[status(thm)],[c828]) ).
cnf(c830,plain,
a9 = product(a8,a5),
inference(symmetry,[status(thm)],[c542]) ).
cnf(c831,plain,
product(a9,a5) = product(product(a8,a5),a5),
inference(congruence,[status(thm)],[c830]) ).
cnf(c832,plain,
product(product(a8,a5),a5) = a8,
inference(substitution,[status(thm)],[c8]) ).
cnf(c833,plain,
product(a9,a5) = a8,
inference(transitivity,[status(thm)],[c831,c832]) ).
cnf(c834,plain,
product(product(a9,a5),a12) = product(a8,a12),
inference(congruence,[status(thm)],[c833]) ).
cnf(c835,plain,
product(product(a9,a4),a11) = product(a8,a12),
inference(transitivity,[status(thm)],[c829,c834]) ).
cnf(c836,plain,
product(a8,a12) = product(product(a9,a4),a11),
inference(symmetry,[status(thm)],[c835]) ).
cnf(c837,plain,
product(product(a8,a12),a11) = product(product(product(a9,a4),a11),a11),
inference(congruence,[status(thm)],[c836]) ).
cnf(c838,plain,
product(product(product(a9,a4),a11),a11) = product(a9,a4),
inference(substitution,[status(thm)],[c8]) ).
cnf(c839,plain,
product(product(a8,a12),a11) = product(a9,a4),
inference(transitivity,[status(thm)],[c837,c838]) ).
cnf(c840,plain,
product(a9,a4) = product(a7,a4),
inference(congruence,[status(thm)],[c552]) ).
cnf(c841,plain,
product(a7,a4) = product(a10,a4),
inference(congruence,[status(thm)],[c600]) ).
cnf(c842,plain,
product(a10,a4) = product(a6,a4),
inference(congruence,[status(thm)],[c641]) ).
cnf(c843,plain,
product(a6,a4) = product(a6,a32),
inference(congruence,[status(thm)],[c345]) ).
cnf(c844,plain,
product(a6,a32) = product(a6,a6),
inference(congruence,[status(thm)],[c746]) ).
cnf(c845,plain,
product(a6,a6) = a6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c846,plain,
product(a6,a32) = a6,
inference(transitivity,[status(thm)],[c844,c845]) ).
cnf(c847,plain,
product(a6,a4) = a6,
inference(transitivity,[status(thm)],[c843,c846]) ).
cnf(c848,plain,
product(a10,a4) = a6,
inference(transitivity,[status(thm)],[c842,c847]) ).
cnf(c849,plain,
product(a7,a4) = a6,
inference(transitivity,[status(thm)],[c841,c848]) ).
cnf(c850,plain,
product(a9,a4) = a6,
inference(transitivity,[status(thm)],[c840,c849]) ).
cnf(c851,plain,
product(product(a8,a12),a11) = a6,
inference(transitivity,[status(thm)],[c839,c850]) ).
cnf(c852,plain,
product(product(a8,a6),a11) = a6,
inference(transitivity,[status(thm)],[c827,c851]) ).
cnf(c853,plain,
product(product(a8,a6),a32) = a6,
inference(transitivity,[status(thm)],[c824,c852]) ).
cnf(c854,plain,
product(product(a8,a6),a6) = a6,
inference(transitivity,[status(thm)],[c822,c853]) ).
cnf(c855,plain,
a8 = a6,
inference(transitivity,[status(thm)],[c820,c854]) ).
cnf(c856,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c855]) ).
cnf(c857,plain,
a6 = a8,
inference(symmetry,[status(thm)],[c855]) ).
cnf(c858,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c857]) ).
cnf(c859,plain,
a6 = a16,
inference(symmetry,[status(thm)],[c817]) ).
cnf(c860,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c859]) ).
cnf(c861,plain,
a6 = a12,
inference(symmetry,[status(thm)],[c783]) ).
cnf(c862,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c861]) ).
cnf(c863,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c864,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c863]) ).
cnf(c865,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c866,plain,
tuple(a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c865]) ).
cnf(c867,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c868,plain,
tuple(a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c867]) ).
cnf(c869,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c870,plain,
tuple(a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c869]) ).
cnf(c871,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c872,plain,
tuple(a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c871]) ).
cnf(c873,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c874,plain,
tuple(a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c873]) ).
cnf(c875,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c876,plain,
tuple(a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c875]) ).
cnf(c877,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c878,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c877]) ).
cnf(c879,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c880,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c879]) ).
cnf(c881,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c882,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c881]) ).
cnf(c883,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c884,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c883]) ).
cnf(c885,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c886,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c885]) ).
cnf(c887,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c888,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c887]) ).
cnf(c889,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c890,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a6,a6),
inference(congruence,[status(thm)],[c889]) ).
cnf(c891,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c892,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a6),
inference(congruence,[status(thm)],[c891]) ).
cnf(c893,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c894,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6),
inference(congruence,[status(thm)],[c893]) ).
cnf(c895,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c896,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6),
inference(congruence,[status(thm)],[c895]) ).
cnf(c897,plain,
a6 = a32,
inference(symmetry,[status(thm)],[c746]) ).
cnf(c898,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c897]) ).
cnf(c899,plain,
a32 = a5,
inference(symmetry,[status(thm)],[c741]) ).
cnf(c900,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c899]) ).
cnf(c901,plain,
a32 = a5,
inference(symmetry,[status(thm)],[c741]) ).
cnf(c902,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c901]) ).
cnf(c903,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c904,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c903]) ).
cnf(c905,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c906,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c905]) ).
cnf(c907,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c908,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c907]) ).
cnf(c909,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c910,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c909]) ).
cnf(c911,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c912,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a6,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c911]) ).
cnf(c913,plain,
a6 = a10,
inference(symmetry,[status(thm)],[c641]) ).
cnf(c914,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c913]) ).
cnf(c915,plain,
a10 = a7,
inference(symmetry,[status(thm)],[c600]) ).
cnf(c916,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c915]) ).
cnf(c917,plain,
a10 = a7,
inference(symmetry,[status(thm)],[c600]) ).
cnf(c918,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c917]) ).
cnf(c919,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c920,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c919]) ).
cnf(c921,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c922,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a10,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c921]) ).
cnf(c923,plain,
a10 = a14,
inference(symmetry,[status(thm)],[c583]) ).
cnf(c924,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c923]) ).
cnf(c925,plain,
a6 = a13,
inference(symmetry,[status(thm)],[c571]) ).
cnf(c926,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c925]) ).
cnf(c927,plain,
a6 = a13,
inference(symmetry,[status(thm)],[c571]) ).
cnf(c928,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c927]) ).
cnf(c929,plain,
a7 = a9,
inference(symmetry,[status(thm)],[c552]) ).
cnf(c930,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c929]) ).
cnf(c931,plain,
a14 = a15,
inference(symmetry,[status(thm)],[c539]) ).
cnf(c932,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c931]) ).
cnf(c933,plain,
a14 = a15,
inference(symmetry,[status(thm)],[c539]) ).
cnf(c934,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c933]) ).
cnf(c935,plain,
a13 = a11,
inference(symmetry,[status(thm)],[c527]) ).
cnf(c936,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c935]) ).
cnf(c937,plain,
a6 = a18,
inference(symmetry,[status(thm)],[c520]) ).
cnf(c938,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c937]) ).
cnf(c939,plain,
a15 = a17,
inference(symmetry,[status(thm)],[c509]) ).
cnf(c940,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c939]) ).
cnf(c941,plain,
a5 = a19,
inference(symmetry,[status(thm)],[c498]) ).
cnf(c942,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c941]) ).
cnf(c943,plain,
a32 = a20,
inference(symmetry,[status(thm)],[c395]) ).
cnf(c944,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c943]) ).
cnf(c945,plain,
a32 = a4,
inference(symmetry,[status(thm)],[c345]) ).
cnf(c946,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a32,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c945]) ).
cnf(c947,plain,
a32 = a2,
inference(symmetry,[status(thm)],[c333]) ).
cnf(c948,plain,
tuple(a32,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c947]) ).
cnf(c949,plain,
a32 = a2,
inference(symmetry,[status(thm)],[c333]) ).
cnf(c950,plain,
tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c949]) ).
cnf(c951,plain,
a32 = a27,
inference(symmetry,[status(thm)],[c266]) ).
cnf(c952,plain,
tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a27,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c951]) ).
cnf(c953,plain,
a32 = a27,
inference(symmetry,[status(thm)],[c266]) ).
cnf(c954,plain,
tuple(a2,a27,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a27,a32,a32,a27,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c953]) ).
cnf(c955,plain,
a32 = a27,
inference(symmetry,[status(thm)],[c266]) ).
cnf(c956,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32),
inference(congruence,[status(thm)],[c955]) ).
cnf(c957,plain,
a32 = a27,
inference(symmetry,[status(thm)],[c266]) ).
cnf(c958,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32),
inference(congruence,[status(thm)],[c957]) ).
cnf(c959,plain,
a32 = a26,
inference(symmetry,[status(thm)],[c256]) ).
cnf(c960,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32),
inference(congruence,[status(thm)],[c959]) ).
cnf(c961,plain,
a32 = a26,
inference(symmetry,[status(thm)],[c256]) ).
cnf(c962,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32),
inference(congruence,[status(thm)],[c961]) ).
cnf(c963,plain,
a32 = a26,
inference(symmetry,[status(thm)],[c256]) ).
cnf(c964,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26),
inference(congruence,[status(thm)],[c963]) ).
cnf(c965,plain,
a2 = a22,
inference(symmetry,[status(thm)],[c223]) ).
cnf(c966,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26) = tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26),
inference(congruence,[status(thm)],[c965]) ).
cnf(c967,plain,
a27 = a31,
inference(symmetry,[status(thm)],[c217]) ).
cnf(c968,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26),
inference(congruence,[status(thm)],[c967]) ).
cnf(c969,plain,
a27 = a31,
inference(symmetry,[status(thm)],[c217]) ).
cnf(c970,plain,
tuple(a2,a31,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a32,a31,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26),
inference(congruence,[status(thm)],[c969]) ).
cnf(c971,plain,
a27 = a29,
inference(symmetry,[status(thm)],[c210]) ).
cnf(c972,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26),
inference(congruence,[status(thm)],[c971]) ).
cnf(c973,plain,
a26 = a28,
inference(symmetry,[status(thm)],[c201]) ).
cnf(c974,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28),
inference(congruence,[status(thm)],[c973]) ).
cnf(c975,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c976,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28),
inference(congruence,[status(thm)],[c975]) ).
cnf(c977,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c978,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a32,a32,a27,a28),
inference(congruence,[status(thm)],[c977]) ).
cnf(c979,plain,
a32 = a1,
inference(symmetry,[status(thm)],[c191]) ).
cnf(c980,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a1,a32,a27,a28),
inference(congruence,[status(thm)],[c979]) ).
cnf(c981,plain,
a1 = a23,
inference(symmetry,[status(thm)],[c180]) ).
cnf(c982,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a1,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a1,a32,a27,a28),
inference(congruence,[status(thm)],[c981]) ).
cnf(c983,plain,
a1 = a23,
inference(symmetry,[status(thm)],[c180]) ).
cnf(c984,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a1,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28),
inference(congruence,[status(thm)],[c983]) ).
cnf(c985,plain,
a26 = a30,
inference(symmetry,[status(thm)],[c171]) ).
cnf(c986,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28),
inference(congruence,[status(thm)],[c985]) ).
cnf(c987,plain,
a23 = a21,
inference(symmetry,[status(thm)],[c165]) ).
cnf(c988,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a32,a27,a28),
inference(congruence,[status(thm)],[c987]) ).
cnf(c989,plain,
a32 = a24,
inference(symmetry,[status(thm)],[c160]) ).
cnf(c990,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(congruence,[status(thm)],[c989]) ).
cnf(c991,plain,
a1 = a3,
inference(symmetry,[status(thm)],[c155]) ).
cnf(c992,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a2,a31,a32,a3,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(congruence,[status(thm)],[c991]) ).
cnf(c993,plain,
a31 = a25,
inference(symmetry,[status(thm)],[c146]) ).
cnf(c994,plain,
tuple(a2,a31,a32,a3,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(congruence,[status(thm)],[c993]) ).
cnf(c995,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c992,c994]) ).
cnf(c996,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c990,c995]) ).
cnf(c997,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c988,c996]) ).
cnf(c998,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a23,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c986,c997]) ).
cnf(c999,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a23,a22,a1,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c984,c998]) ).
cnf(c1000,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a1,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c982,c999]) ).
cnf(c1001,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a1,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c980,c1000]) ).
cnf(c1002,plain,
tuple(a2,a31,a32,a1,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c978,c1001]) ).
cnf(c1003,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a28) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c976,c1002]) ).
cnf(c1004,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a29,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c974,c1003]) ).
cnf(c1005,plain,
tuple(a2,a31,a32,a32,a31,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c972,c1004]) ).
cnf(c1006,plain,
tuple(a2,a31,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c970,c1005]) ).
cnf(c1007,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a22,a32,a32,a27,a26) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c968,c1006]) ).
cnf(c1008,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a26) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c966,c1007]) ).
cnf(c1009,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a26,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c964,c1008]) ).
cnf(c1010,plain,
tuple(a2,a27,a32,a32,a27,a26,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c962,c1009]) ).
cnf(c1011,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a27,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c960,c1010]) ).
cnf(c1012,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a27,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c958,c1011]) ).
cnf(c1013,plain,
tuple(a2,a27,a32,a32,a27,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c956,c1012]) ).
cnf(c1014,plain,
tuple(a2,a27,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c954,c1013]) ).
cnf(c1015,plain,
tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a2,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c952,c1014]) ).
cnf(c1016,plain,
tuple(a2,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c950,c1015]) ).
cnf(c1017,plain,
tuple(a32,a32,a32,a32,a32,a32,a4,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c948,c1016]) ).
cnf(c1018,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c946,c1017]) ).
cnf(c1019,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a19,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c944,c1018]) ).
cnf(c1020,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a17,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c942,c1019]) ).
cnf(c1021,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a18,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c940,c1020]) ).
cnf(c1022,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a11,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c938,c1021]) ).
cnf(c1023,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a15,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c936,c1022]) ).
cnf(c1024,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a15,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c934,c1023]) ).
cnf(c1025,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a9,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c932,c1024]) ).
cnf(c1026,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a13,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c930,c1025]) ).
cnf(c1027,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a13,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c928,c1026]) ).
cnf(c1028,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a14,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c926,c1027]) ).
cnf(c1029,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a14,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c924,c1028]) ).
cnf(c1030,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a14,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c922,c1029]) ).
cnf(c1031,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a7,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c920,c1030]) ).
cnf(c1032,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a7,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c918,c1031]) ).
cnf(c1033,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a10,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c916,c1032]) ).
cnf(c1034,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a10,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c914,c1033]) ).
cnf(c1035,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a10,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c912,c1034]) ).
cnf(c1036,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a10,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c910,c1035]) ).
cnf(c1037,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a10,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c908,c1036]) ).
cnf(c1038,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a10,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c906,c1037]) ).
cnf(c1039,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a5,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c904,c1038]) ).
cnf(c1040,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a5,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c902,c1039]) ).
cnf(c1041,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c900,c1040]) ).
cnf(c1042,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c898,c1041]) ).
cnf(c1043,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c896,c1042]) ).
cnf(c1044,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c894,c1043]) ).
cnf(c1045,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c892,c1044]) ).
cnf(c1046,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c890,c1045]) ).
cnf(c1047,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c888,c1046]) ).
cnf(c1048,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c886,c1047]) ).
cnf(c1049,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c884,c1048]) ).
cnf(c1050,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c882,c1049]) ).
cnf(c1051,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c880,c1050]) ).
cnf(c1052,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c878,c1051]) ).
cnf(c1053,plain,
tuple(a32,a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c876,c1052]) ).
cnf(c1054,plain,
tuple(a32,a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c874,c1053]) ).
cnf(c1055,plain,
tuple(a32,a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c872,c1054]) ).
cnf(c1056,plain,
tuple(a32,a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c870,c1055]) ).
cnf(c1057,plain,
tuple(a32,a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c868,c1056]) ).
cnf(c1058,plain,
tuple(a32,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c866,c1057]) ).
cnf(c1059,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a12,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c864,c1058]) ).
cnf(c1060,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a16,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c862,c1059]) ).
cnf(c1061,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c860,c1060]) ).
cnf(c1062,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c858,c1061]) ).
cnf(c1063,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c856,c1062]) ).
cnf(c1064,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a6,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c818,c1063]) ).
cnf(c1065,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a6) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c784,c1064]) ).
cnf(c1066,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a6,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c764,c1065]) ).
cnf(c1067,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a6,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c763,c1066]) ).
cnf(c1068,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a6,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c762,c1067]) ).
cnf(c1069,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a6,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c761,c1068]) ).
cnf(c1070,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a6,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c760,c1069]) ).
cnf(c1071,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c759,c1070]) ).
cnf(c1072,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c758,c1071]) ).
cnf(c1073,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c757,c1072]) ).
cnf(c1074,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a6,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c756,c1073]) ).
cnf(c1075,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a6,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c755,c1074]) ).
cnf(c1076,plain,
tuple(a6,a6,a6,a6,a6,a6,a6,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c754,c1075]) ).
cnf(c1077,plain,
tuple(a6,a6,a6,a6,a6,a6,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c753,c1076]) ).
cnf(c1078,plain,
tuple(a6,a6,a6,a6,a6,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c752,c1077]) ).
cnf(c1079,plain,
tuple(a6,a6,a6,a6,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c751,c1078]) ).
cnf(c1080,plain,
tuple(a6,a6,a6,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c750,c1079]) ).
cnf(c1081,plain,
tuple(a6,a6,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c749,c1080]) ).
cnf(c1082,plain,
tuple(a6,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c748,c1081]) ).
cnf(c1083,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a32,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c747,c1082]) ).
cnf(c1084,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a32,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c743,c1083]) ).
cnf(c1085,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a6,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c742,c1084]) ).
cnf(c1086,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a6,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c647,c1085]) ).
cnf(c1087,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a6,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c646,c1086]) ).
cnf(c1088,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a6,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c645,c1087]) ).
cnf(c1089,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a6,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c644,c1088]) ).
cnf(c1090,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a6,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c643,c1089]) ).
cnf(c1091,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a10,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c642,c1090]) ).
cnf(c1092,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a10,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c602,c1091]) ).
cnf(c1093,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a10,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c601,c1092]) ).
cnf(c1094,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a10,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c586,c1093]) ).
cnf(c1095,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a10,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c585,c1094]) ).
cnf(c1096,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a6,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c584,c1095]) ).
cnf(c1097,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a6,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c573,c1096]) ).
cnf(c1098,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a7,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c572,c1097]) ).
cnf(c1099,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a14,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c553,c1098]) ).
cnf(c1100,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a14,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c541,c1099]) ).
cnf(c1101,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a13,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c540,c1100]) ).
cnf(c1102,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a6,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c528,c1101]) ).
cnf(c1103,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a15,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c521,c1102]) ).
cnf(c1104,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a5,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c510,c1103]) ).
cnf(c1105,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a32,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c499,c1104]) ).
cnf(c1106,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a32,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c396,c1105]) ).
cnf(c1107,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a32,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c346,c1106]) ).
cnf(c1108,plain,
tuple(a32,a32,a32,a32,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c335,c1107]) ).
cnf(c1109,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a32) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c334,c1108]) ).
cnf(c1110,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a32,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c270,c1109]) ).
cnf(c1111,plain,
tuple(a32,a32,a32,a2,a32,a32,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c269,c1110]) ).
cnf(c1112,plain,
tuple(a32,a32,a32,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c268,c1111]) ).
cnf(c1113,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a32,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c267,c1112]) ).
cnf(c1114,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a32,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c259,c1113]) ).
cnf(c1115,plain,
tuple(a32,a32,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c258,c1114]) ).
cnf(c1116,plain,
tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a2,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c257,c1115]) ).
cnf(c1117,plain,
tuple(a32,a26,a27,a2,a32,a27,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c224,c1116]) ).
cnf(c1118,plain,
tuple(a32,a26,a27,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c219,c1117]) ).
cnf(c1119,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a26,a27,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c218,c1118]) ).
cnf(c1120,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a26,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c211,c1119]) ).
cnf(c1121,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a32,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c202,c1120]) ).
cnf(c1122,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a32,a22,a1,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c195,c1121]) ).
cnf(c1123,plain,
tuple(a32,a26,a31,a2,a32,a31,a32,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c194,c1122]) ).
cnf(c1124,plain,
tuple(a32,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c193,c1123]) ).
cnf(c1125,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a1,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c192,c1124]) ).
cnf(c1126,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a1,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c182,c1125]) ).
cnf(c1127,plain,
tuple(a1,a26,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c181,c1126]) ).
cnf(c1128,plain,
tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a23,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c172,c1127]) ).
cnf(c1129,plain,
tuple(a1,a30,a31,a2,a32,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c166,c1128]) ).
cnf(c1130,plain,
tuple(a1,a30,a31,a2,a24,a31,a1,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c161,c1129]) ).
cnf(c1131,plain,
tuple(a1,a30,a31,a2,a24,a31,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c156,c1130]) ).
cnf(c1132,plain,
tuple(a1,a30,a31,a2,a24,a25,a3,a28,a29,a4,a10,a11,a5,a14,a15,a6,a7,a18,a19,a8,a9,a16,a17,a12,a13,a20,a21,a22,a23,a26,a27) = tuple(a2,a31,a32,a3,a25,a26,a4,a29,a30,a5,a11,a12,a6,a15,a16,a7,a8,a19,a20,a9,a10,a17,a18,a13,a14,a21,a22,a23,a24,a27,a28),
inference(transitivity,[status(thm)],[c147,c1131]) ).
cnf(c1133,plain,
$false,
inference(resolution,[status(thm)],[c1,c1132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP050-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.15 % Computer : n003.cluster.edu
% 0.10/0.15 % Model : x86_64 x86_64
% 0.10/0.15 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.15 % Memory : 8046.5625MB
% 0.10/0.15 % OS : Linux 6.8.0-71-generic
% 0.10/0.15 % CPULimit : 300
% 0.10/0.15 % WCLimit : 300
% 0.10/0.15 % DateTime : Mon Sep 28 19:10:03 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.29/0.55 Command-line arguments: --no-flatten-goal
% 2.29/0.55
% 2.29/0.55 % SZS status Unsatisfiable
% 2.29/0.55
% 3.74/0.74 % SZS output start CNFRefutation
% See solution above
% 11.56/1.73
% 11.56/1.73 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------