%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : TOP051-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 02:33:48 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.29s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 70
% Number of leaves : 14
% Syntax : Number of clauses : 323 ( 323 unt; 0 nHn; 298 RR)
% Number of literals : 323 ( 322 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 : 13 ( 13 usr; 11 con; 0-10 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) != tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
product(product(X,Y),Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_01) ).
cnf(c3,plain,
product(product(a6,product(a2,a1)),product(a2,a1)) = a6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
a6 = product(product(a6,product(a2,a1)),product(a2,a1)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
product(a1,a6) = a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c6,plain,
a2 = product(a1,a6),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,plain,
product(a2,a6) = product(product(a1,a6),a6),
inference(congruence,[status(thm)],[c6]) ).
cnf(c8,plain,
product(product(a1,a6),a6) = a1,
inference(substitution,[status(thm)],[c2]) ).
cnf(c9,plain,
product(a2,a6) = a1,
inference(transitivity,[status(thm)],[c7,c8]) ).
cnf(c10,plain,
a1 = product(a2,a6),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,plain,
product(a9,a1) = product(a9,product(a2,a6)),
inference(congruence,[status(thm)],[c10]) ).
cnf(c12,axiom,
product(product(X2,Y2),Z) = product(product(X2,Z),product(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',involutory_quandle_02) ).
cnf(c13,plain,
product(product(a8,X2),a6) = product(product(a8,a6),product(X2,a6)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,axiom,
product(a8,a6) = a9,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c15,plain,
product(product(a8,a6),product(X2,a6)) = product(a9,product(X2,a6)),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,plain,
product(product(a8,X2),a6) = product(a9,product(X2,a6)),
inference(transitivity,[status(thm)],[c13,c15]) ).
cnf(c17,plain,
product(product(a8,a2),a6) = product(a9,product(a2,a6)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
product(a9,product(a2,a6)) = product(product(a8,a2),a6),
inference(symmetry,[status(thm)],[c17]) ).
cnf(c19,axiom,
product(a6,a2) = a7,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c20,plain,
a7 = product(a6,a2),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c21,plain,
product(a7,a2) = product(product(a6,a2),a2),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
product(product(a6,a2),a2) = a6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c23,plain,
product(a7,a2) = a6,
inference(transitivity,[status(thm)],[c21,c22]) ).
cnf(c24,plain,
a6 = product(a7,a2),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
product(a7,a6) = product(a7,product(a7,a2)),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
product(product(a6,X2),a2) = product(product(a6,a2),product(X2,a2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c27,plain,
product(product(a6,a2),product(X2,a2)) = product(a7,product(X2,a2)),
inference(congruence,[status(thm)],[c19]) ).
cnf(c28,plain,
product(product(a6,X2),a2) = product(a7,product(X2,a2)),
inference(transitivity,[status(thm)],[c26,c27]) ).
cnf(c29,plain,
product(product(a6,a7),a2) = product(a7,product(a7,a2)),
inference(substitution,[status(thm)],[c28]) ).
cnf(c30,plain,
product(a7,product(a7,a2)) = product(product(a6,a7),a2),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
a6 = product(a7,a2),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c32,plain,
product(a6,a7) = product(product(a7,a2),a7),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
product(product(X2,X3),X2) = product(product(X2,X2),product(X3,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c34,axiom,
product(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c35,plain,
product(product(X3,X3),product(X2,X3)) = product(X3,product(X2,X3)),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
product(product(X3,X2),X3) = product(X3,product(X2,X3)),
inference(transitivity,[status(thm)],[c33,c35]) ).
cnf(c37,plain,
product(product(a7,a2),a7) = product(a7,product(a2,a7)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,axiom,
product(a2,a7) = a3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c39,plain,
product(a7,product(a2,a7)) = product(a7,a3),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,axiom,
product(a7,a3) = a8,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c41,plain,
product(a7,product(a2,a7)) = a8,
inference(transitivity,[status(thm)],[c39,c40]) ).
cnf(c42,plain,
product(product(a7,a2),a7) = a8,
inference(transitivity,[status(thm)],[c37,c41]) ).
cnf(c43,plain,
product(a6,a7) = a8,
inference(transitivity,[status(thm)],[c32,c42]) ).
cnf(c44,plain,
product(product(a6,a7),a2) = product(a8,a2),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
product(a7,product(a7,a2)) = product(a8,a2),
inference(transitivity,[status(thm)],[c30,c44]) ).
cnf(c46,plain,
product(a7,a6) = product(a8,a2),
inference(transitivity,[status(thm)],[c25,c45]) ).
cnf(c47,plain,
product(a8,a2) = product(a7,a6),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,plain,
product(product(a8,a2),a6) = product(product(a7,a6),a6),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
product(product(a7,a6),a6) = a7,
inference(substitution,[status(thm)],[c2]) ).
cnf(c50,plain,
product(product(a8,a2),a6) = a7,
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,plain,
product(a9,product(a2,a6)) = a7,
inference(transitivity,[status(thm)],[c18,c50]) ).
cnf(c52,plain,
product(a9,a1) = a7,
inference(transitivity,[status(thm)],[c11,c51]) ).
cnf(c53,plain,
a7 = product(a9,a1),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
product(a7,a1) = product(product(a9,a1),a1),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
product(product(a9,a1),a1) = a9,
inference(substitution,[status(thm)],[c2]) ).
cnf(c56,plain,
product(a7,a1) = a9,
inference(transitivity,[status(thm)],[c54,c55]) ).
cnf(c57,plain,
a9 = product(a7,a1),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c58,plain,
product(a4,a9) = product(a4,product(a7,a1)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
product(product(a3,X2),a1) = product(product(a3,a1),product(X2,a1)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c60,axiom,
product(a3,a1) = a4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c61,plain,
product(product(a3,a1),product(X2,a1)) = product(a4,product(X2,a1)),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
product(product(a3,X2),a1) = product(a4,product(X2,a1)),
inference(transitivity,[status(thm)],[c59,c61]) ).
cnf(c63,plain,
product(product(a3,a7),a1) = product(a4,product(a7,a1)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c64,plain,
product(a4,product(a7,a1)) = product(product(a3,a7),a1),
inference(symmetry,[status(thm)],[c63]) ).
cnf(c65,plain,
a3 = product(a2,a7),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c66,plain,
product(a3,a7) = product(product(a2,a7),a7),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
product(product(a2,a7),a7) = a2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c68,plain,
product(a3,a7) = a2,
inference(transitivity,[status(thm)],[c66,c67]) ).
cnf(c69,plain,
product(product(a3,a7),a1) = product(a2,a1),
inference(congruence,[status(thm)],[c68]) ).
cnf(c70,plain,
product(a4,product(a7,a1)) = product(a2,a1),
inference(transitivity,[status(thm)],[c64,c69]) ).
cnf(c71,plain,
product(a4,a9) = product(a2,a1),
inference(transitivity,[status(thm)],[c58,c70]) ).
cnf(c72,plain,
product(a2,a1) = product(a4,a9),
inference(symmetry,[status(thm)],[c71]) ).
cnf(c73,plain,
product(a6,product(a2,a1)) = product(a6,product(a4,a9)),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
product(product(a5,X2),a9) = product(product(a5,a9),product(X2,a9)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c75,axiom,
product(a5,a9) = a6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c76,plain,
product(product(a5,a9),product(X2,a9)) = product(a6,product(X2,a9)),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
product(product(a5,X2),a9) = product(a6,product(X2,a9)),
inference(transitivity,[status(thm)],[c74,c76]) ).
cnf(c78,plain,
product(product(a5,a4),a9) = product(a6,product(a4,a9)),
inference(substitution,[status(thm)],[c77]) ).
cnf(c79,plain,
product(a6,product(a4,a9)) = product(product(a5,a4),a9),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,axiom,
product(a4,a10) = a5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c81,plain,
a5 = product(a4,a10),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c82,plain,
product(a5,a4) = product(product(a4,a10),a4),
inference(congruence,[status(thm)],[c81]) ).
cnf(c83,plain,
product(product(a4,a10),a4) = product(a4,product(a10,a4)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c84,axiom,
product(a9,a4) = a10,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c85,plain,
a10 = product(a9,a4),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
product(a10,a4) = product(product(a9,a4),a4),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
product(product(a9,a4),a4) = a9,
inference(substitution,[status(thm)],[c2]) ).
cnf(c88,plain,
product(a10,a4) = a9,
inference(transitivity,[status(thm)],[c86,c87]) ).
cnf(c89,plain,
product(a4,product(a10,a4)) = product(a4,a9),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
product(product(a4,a10),a4) = product(a4,a9),
inference(transitivity,[status(thm)],[c83,c89]) ).
cnf(c91,plain,
product(a5,a4) = product(a4,a9),
inference(transitivity,[status(thm)],[c82,c90]) ).
cnf(c92,plain,
product(product(a5,a4),a9) = product(product(a4,a9),a9),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
product(product(a4,a9),a9) = a4,
inference(substitution,[status(thm)],[c2]) ).
cnf(c94,plain,
product(product(a5,a4),a9) = a4,
inference(transitivity,[status(thm)],[c92,c93]) ).
cnf(c95,plain,
product(a6,product(a4,a9)) = a4,
inference(transitivity,[status(thm)],[c79,c94]) ).
cnf(c96,plain,
product(a6,product(a2,a1)) = a4,
inference(transitivity,[status(thm)],[c73,c95]) ).
cnf(c97,plain,
product(product(a6,product(a2,a1)),product(a2,a1)) = product(a4,product(a2,a1)),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
product(product(a3,a2),a1) = product(a4,product(a2,a1)),
inference(substitution,[status(thm)],[c62]) ).
cnf(c99,plain,
product(a4,product(a2,a1)) = product(product(a3,a2),a1),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
a3 = product(a2,a7),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c101,plain,
product(a3,a2) = product(product(a2,a7),a2),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
product(product(a2,a7),a2) = product(a2,product(a7,a2)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c103,plain,
product(a2,product(a7,a2)) = product(a2,a6),
inference(congruence,[status(thm)],[c23]) ).
cnf(c104,plain,
product(a2,product(a7,a2)) = a1,
inference(transitivity,[status(thm)],[c103,c9]) ).
cnf(c105,plain,
product(product(a2,a7),a2) = a1,
inference(transitivity,[status(thm)],[c102,c104]) ).
cnf(c106,plain,
product(a3,a2) = a1,
inference(transitivity,[status(thm)],[c101,c105]) ).
cnf(c107,plain,
product(product(a3,a2),a1) = product(a1,a1),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c109,plain,
product(product(a3,a2),a1) = a1,
inference(transitivity,[status(thm)],[c107,c108]) ).
cnf(c110,plain,
product(a4,product(a2,a1)) = a1,
inference(transitivity,[status(thm)],[c99,c109]) ).
cnf(c111,plain,
product(product(a6,product(a2,a1)),product(a2,a1)) = a1,
inference(transitivity,[status(thm)],[c97,c110]) ).
cnf(c112,plain,
a6 = a1,
inference(transitivity,[status(thm)],[c4,c111]) ).
cnf(c113,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) = tuple(a1,a1,a5,a2,a7,a3,a4,a9,a10,a8),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
a2 = product(a1,a6),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c115,plain,
product(a1,a6) = product(a1,a1),
inference(congruence,[status(thm)],[c112]) ).
cnf(c116,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c117,plain,
product(a1,a6) = a1,
inference(transitivity,[status(thm)],[c115,c116]) ).
cnf(c118,plain,
a2 = a1,
inference(transitivity,[status(thm)],[c114,c117]) ).
cnf(c119,plain,
tuple(a1,a1,a5,a2,a7,a3,a4,a9,a10,a8) = tuple(a1,a1,a5,a1,a7,a3,a4,a9,a10,a8),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
a9 = product(a8,a6),
inference(symmetry,[status(thm)],[c14]) ).
cnf(c121,plain,
product(a8,a6) = product(a8,a1),
inference(congruence,[status(thm)],[c112]) ).
cnf(c122,plain,
a8 = product(a7,a3),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c123,plain,
product(a8,a1) = product(product(a7,a3),a1),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
product(product(X2,a3),a1) = product(product(X2,a1),product(a3,a1)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c125,plain,
product(product(X2,a1),product(a3,a1)) = product(product(X2,a1),a4),
inference(congruence,[status(thm)],[c60]) ).
cnf(c126,plain,
product(product(X2,a3),a1) = product(product(X2,a1),a4),
inference(transitivity,[status(thm)],[c124,c125]) ).
cnf(c127,plain,
product(product(a7,a3),a1) = product(product(a7,a1),a4),
inference(substitution,[status(thm)],[c126]) ).
cnf(c128,plain,
product(product(a7,a1),a4) = product(a9,a4),
inference(congruence,[status(thm)],[c56]) ).
cnf(c129,plain,
product(product(a7,a1),a4) = a10,
inference(transitivity,[status(thm)],[c128,c84]) ).
cnf(c130,plain,
product(product(a7,a3),a1) = a10,
inference(transitivity,[status(thm)],[c127,c129]) ).
cnf(c131,plain,
product(a8,a1) = a10,
inference(transitivity,[status(thm)],[c123,c130]) ).
cnf(c132,plain,
product(a8,a6) = a10,
inference(transitivity,[status(thm)],[c121,c131]) ).
cnf(c133,plain,
a9 = a10,
inference(transitivity,[status(thm)],[c120,c132]) ).
cnf(c134,plain,
tuple(a1,a1,a5,a1,a7,a3,a4,a9,a10,a8) = tuple(a1,a1,a5,a1,a7,a3,a4,a10,a10,a8),
inference(congruence,[status(thm)],[c133]) ).
cnf(c135,plain,
a7 = product(a6,a2),
inference(symmetry,[status(thm)],[c19]) ).
cnf(c136,plain,
product(a6,a2) = product(a1,a2),
inference(congruence,[status(thm)],[c112]) ).
cnf(c137,plain,
product(a1,a2) = product(a1,a1),
inference(congruence,[status(thm)],[c118]) ).
cnf(c138,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c139,plain,
product(a1,a2) = a1,
inference(transitivity,[status(thm)],[c137,c138]) ).
cnf(c140,plain,
product(a6,a2) = a1,
inference(transitivity,[status(thm)],[c136,c139]) ).
cnf(c141,plain,
a7 = a1,
inference(transitivity,[status(thm)],[c135,c140]) ).
cnf(c142,plain,
tuple(a1,a1,a5,a1,a7,a3,a4,a10,a10,a8) = tuple(a1,a1,a5,a1,a1,a3,a4,a10,a10,a8),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
a2 = product(a1,a6),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c144,plain,
product(product(X2,a6),a2) = product(product(X2,a6),product(a1,a6)),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
product(product(X2,a1),a6) = product(product(X2,a6),product(a1,a6)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c146,plain,
product(product(X2,a6),product(a1,a6)) = product(product(X2,a1),a6),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
product(product(X2,a6),a2) = product(product(X2,a1),a6),
inference(transitivity,[status(thm)],[c144,c146]) ).
cnf(c148,plain,
product(product(a2,a6),a2) = product(product(a2,a1),a6),
inference(substitution,[status(thm)],[c147]) ).
cnf(c149,plain,
product(product(a2,a1),a6) = product(product(a2,a6),a2),
inference(symmetry,[status(thm)],[c148]) ).
cnf(c150,plain,
product(product(a2,a6),a2) = product(a1,a2),
inference(congruence,[status(thm)],[c9]) ).
cnf(c151,plain,
a1 = product(a2,a6),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c152,plain,
product(a1,a2) = product(product(a2,a6),a2),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
product(product(a2,a6),a2) = product(a2,product(a6,a2)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c154,plain,
product(a2,product(a6,a2)) = product(a2,a7),
inference(congruence,[status(thm)],[c19]) ).
cnf(c155,plain,
product(a2,product(a6,a2)) = a3,
inference(transitivity,[status(thm)],[c154,c38]) ).
cnf(c156,plain,
product(product(a2,a6),a2) = a3,
inference(transitivity,[status(thm)],[c153,c155]) ).
cnf(c157,plain,
product(a1,a2) = a3,
inference(transitivity,[status(thm)],[c152,c156]) ).
cnf(c158,plain,
product(product(a2,a6),a2) = a3,
inference(transitivity,[status(thm)],[c150,c157]) ).
cnf(c159,plain,
product(product(a2,a1),a6) = a3,
inference(transitivity,[status(thm)],[c149,c158]) ).
cnf(c160,plain,
a3 = product(product(a2,a1),a6),
inference(symmetry,[status(thm)],[c159]) ).
cnf(c161,plain,
product(product(a2,a1),a6) = product(product(a2,a1),a1),
inference(congruence,[status(thm)],[c112]) ).
cnf(c162,plain,
product(product(a2,a1),a1) = a2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c163,plain,
product(product(a2,a1),a1) = a1,
inference(transitivity,[status(thm)],[c162,c118]) ).
cnf(c164,plain,
product(product(a2,a1),a6) = a1,
inference(transitivity,[status(thm)],[c161,c163]) ).
cnf(c165,plain,
a3 = a1,
inference(transitivity,[status(thm)],[c160,c164]) ).
cnf(c166,plain,
tuple(a1,a1,a5,a1,a1,a3,a4,a10,a10,a8) = tuple(a1,a1,a5,a1,a1,a1,a4,a10,a10,a8),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
a10 = a9,
inference(symmetry,[status(thm)],[c133]) ).
cnf(c168,plain,
a9 = product(a7,a1),
inference(symmetry,[status(thm)],[c56]) ).
cnf(c169,plain,
a1 = a2,
inference(symmetry,[status(thm)],[c118]) ).
cnf(c170,plain,
product(a7,a1) = product(a7,a2),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
product(a7,a2) = a1,
inference(transitivity,[status(thm)],[c23,c112]) ).
cnf(c172,plain,
product(a7,a1) = a1,
inference(transitivity,[status(thm)],[c170,c171]) ).
cnf(c173,plain,
a9 = a1,
inference(transitivity,[status(thm)],[c168,c172]) ).
cnf(c174,plain,
a10 = a1,
inference(transitivity,[status(thm)],[c167,c173]) ).
cnf(c175,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a10,a10,a8) = tuple(a1,a1,a5,a1,a1,a1,a4,a1,a10,a8),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a1,a10,a8) = tuple(a1,a1,a5,a1,a1,a1,a4,a1,a1,a8),
inference(congruence,[status(thm)],[c174]) ).
cnf(c177,plain,
product(product(a1,a2),a1) = product(a1,product(a2,a1)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c178,plain,
product(a1,product(a2,a1)) = product(product(a1,a2),a1),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
product(product(a1,a2),a1) = product(a3,a1),
inference(congruence,[status(thm)],[c157]) ).
cnf(c180,plain,
product(product(a1,a2),a1) = a4,
inference(transitivity,[status(thm)],[c179,c60]) ).
cnf(c181,plain,
product(a1,product(a2,a1)) = a4,
inference(transitivity,[status(thm)],[c178,c180]) ).
cnf(c182,plain,
a4 = product(a1,product(a2,a1)),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
product(a2,a1) = product(a1,a1),
inference(congruence,[status(thm)],[c118]) ).
cnf(c184,plain,
product(a1,product(a2,a1)) = product(a1,product(a1,a1)),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c186,plain,
product(a1,product(a1,a1)) = product(a1,a1),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c188,plain,
product(a1,product(a1,a1)) = a1,
inference(transitivity,[status(thm)],[c186,c187]) ).
cnf(c189,plain,
product(a1,product(a2,a1)) = a1,
inference(transitivity,[status(thm)],[c184,c188]) ).
cnf(c190,plain,
a4 = a1,
inference(transitivity,[status(thm)],[c182,c189]) ).
cnf(c191,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a1,a1,a8) = tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a8),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
product(product(a8,a1),a1) = a8,
inference(substitution,[status(thm)],[c2]) ).
cnf(c193,plain,
a8 = product(product(a8,a1),a1),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
a1 = a2,
inference(symmetry,[status(thm)],[c118]) ).
cnf(c195,plain,
product(a8,a1) = product(a8,a2),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
product(product(a8,a1),a1) = product(product(a8,a2),a1),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
product(a8,a2) = product(a7,a6),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c198,plain,
product(product(a8,a2),a1) = product(product(a7,a6),a1),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
a1 = product(a2,a6),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c200,plain,
product(a6,a1) = product(a6,product(a2,a6)),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
product(product(a6,a2),a6) = product(a6,product(a2,a6)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c202,plain,
product(a6,product(a2,a6)) = product(product(a6,a2),a6),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
product(product(a6,a2),a6) = product(a7,a6),
inference(congruence,[status(thm)],[c19]) ).
cnf(c204,plain,
product(a6,product(a2,a6)) = product(a7,a6),
inference(transitivity,[status(thm)],[c202,c203]) ).
cnf(c205,plain,
product(a6,a1) = product(a7,a6),
inference(transitivity,[status(thm)],[c200,c204]) ).
cnf(c206,plain,
product(a7,a6) = product(a6,a1),
inference(symmetry,[status(thm)],[c205]) ).
cnf(c207,plain,
product(product(a7,a6),a1) = product(product(a6,a1),a1),
inference(congruence,[status(thm)],[c206]) ).
cnf(c208,plain,
product(product(a6,a1),a1) = a6,
inference(substitution,[status(thm)],[c2]) ).
cnf(c209,plain,
product(product(a7,a6),a1) = a6,
inference(transitivity,[status(thm)],[c207,c208]) ).
cnf(c210,plain,
product(product(a8,a2),a1) = a6,
inference(transitivity,[status(thm)],[c198,c209]) ).
cnf(c211,plain,
product(product(a8,a2),a1) = a1,
inference(transitivity,[status(thm)],[c210,c112]) ).
cnf(c212,plain,
product(product(a8,a1),a1) = a1,
inference(transitivity,[status(thm)],[c196,c211]) ).
cnf(c213,plain,
a8 = a1,
inference(transitivity,[status(thm)],[c193,c212]) ).
cnf(c214,plain,
tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a8) = tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
a1 = a10,
inference(symmetry,[status(thm)],[c174]) ).
cnf(c216,plain,
product(a10,a10) = a10,
inference(substitution,[status(thm)],[c34]) ).
cnf(c217,plain,
a10 = product(a10,a10),
inference(symmetry,[status(thm)],[c216]) ).
cnf(c218,plain,
a10 = a9,
inference(symmetry,[status(thm)],[c133]) ).
cnf(c219,plain,
product(a10,a10) = product(a9,a10),
inference(congruence,[status(thm)],[c218]) ).
cnf(c220,plain,
a9 = product(a10,a4),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c221,plain,
product(a9,a10) = product(product(a10,a4),a10),
inference(congruence,[status(thm)],[c220]) ).
cnf(c222,plain,
product(product(a10,a4),a10) = product(a10,product(a4,a10)),
inference(substitution,[status(thm)],[c36]) ).
cnf(c223,plain,
product(a10,product(a4,a10)) = product(a10,a5),
inference(congruence,[status(thm)],[c80]) ).
cnf(c224,axiom,
product(a10,a5) = a11,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c225,plain,
product(a10,product(a4,a10)) = a11,
inference(transitivity,[status(thm)],[c223,c224]) ).
cnf(c226,plain,
product(product(a10,a4),a10) = a11,
inference(transitivity,[status(thm)],[c222,c225]) ).
cnf(c227,plain,
product(a9,a10) = a11,
inference(transitivity,[status(thm)],[c221,c226]) ).
cnf(c228,plain,
product(a10,a10) = a11,
inference(transitivity,[status(thm)],[c219,c227]) ).
cnf(c229,plain,
a10 = a11,
inference(transitivity,[status(thm)],[c217,c228]) ).
cnf(c230,plain,
a1 = a11,
inference(transitivity,[status(thm)],[c215,c229]) ).
cnf(c231,plain,
tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a11,a1,a5,a1,a1,a1,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
tuple(a11,a1,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a11,a11,a5,a1,a1,a1,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c233,plain,
tuple(a11,a11,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a11,a11,a5,a11,a1,a1,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c234,plain,
tuple(a11,a11,a5,a11,a1,a1,a1,a1,a1,a1) = tuple(a11,a11,a5,a11,a11,a1,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c235,plain,
tuple(a11,a11,a5,a11,a11,a1,a1,a1,a1,a1) = tuple(a11,a11,a5,a11,a11,a11,a1,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c236,plain,
tuple(a11,a11,a5,a11,a11,a11,a1,a1,a1,a1) = tuple(a11,a11,a5,a11,a11,a11,a11,a1,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c237,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a1,a1,a1) = tuple(a11,a11,a5,a11,a11,a11,a11,a11,a1,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c238,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a1,a1) = tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a1),
inference(congruence,[status(thm)],[c230]) ).
cnf(c239,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a1) = tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a11),
inference(congruence,[status(thm)],[c230]) ).
cnf(c240,plain,
a5 = product(a4,a10),
inference(symmetry,[status(thm)],[c80]) ).
cnf(c241,plain,
a10 = a9,
inference(symmetry,[status(thm)],[c133]) ).
cnf(c242,plain,
product(a4,a10) = product(a4,a9),
inference(congruence,[status(thm)],[c241]) ).
cnf(c243,plain,
product(a2,a1) = product(a1,a1),
inference(congruence,[status(thm)],[c118]) ).
cnf(c244,plain,
product(a1,a1) = a1,
inference(substitution,[status(thm)],[c34]) ).
cnf(c245,plain,
product(a1,a1) = a11,
inference(transitivity,[status(thm)],[c244,c230]) ).
cnf(c246,plain,
product(a2,a1) = a11,
inference(transitivity,[status(thm)],[c243,c245]) ).
cnf(c247,plain,
product(a4,a9) = a11,
inference(transitivity,[status(thm)],[c71,c246]) ).
cnf(c248,plain,
product(a4,a10) = a11,
inference(transitivity,[status(thm)],[c242,c247]) ).
cnf(c249,plain,
a5 = a11,
inference(transitivity,[status(thm)],[c240,c248]) ).
cnf(c250,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
a11 = a5,
inference(symmetry,[status(thm)],[c249]) ).
cnf(c252,plain,
tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a11,a11,a11,a11,a11,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c254,plain,
tuple(a11,a11,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a1,a11,a11,a11,a11,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c253]) ).
cnf(c255,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c256,plain,
tuple(a1,a11,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a1,a1,a11,a11,a11,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c258,plain,
tuple(a1,a1,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a1,a1,a1,a11,a11,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c260,plain,
tuple(a1,a1,a1,a11,a11,a11,a5,a11,a11,a11) = tuple(a1,a1,a1,a1,a11,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c262,plain,
tuple(a1,a1,a1,a1,a11,a11,a5,a11,a11,a11) = tuple(a1,a1,a1,a1,a1,a11,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c261]) ).
cnf(c263,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c264,plain,
tuple(a1,a1,a1,a1,a1,a11,a5,a11,a11,a11) = tuple(a1,a1,a1,a1,a1,a1,a5,a11,a11,a11),
inference(congruence,[status(thm)],[c263]) ).
cnf(c265,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c266,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a11,a11,a11) = tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a11),
inference(congruence,[status(thm)],[c265]) ).
cnf(c267,plain,
a11 = a1,
inference(symmetry,[status(thm)],[c230]) ).
cnf(c268,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a11) = tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a1),
inference(congruence,[status(thm)],[c267]) ).
cnf(c269,plain,
a1 = a8,
inference(symmetry,[status(thm)],[c213]) ).
cnf(c270,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a1) = tuple(a1,a1,a1,a1,a8,a1,a5,a1,a11,a1),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
a1 = a4,
inference(symmetry,[status(thm)],[c190]) ).
cnf(c272,plain,
tuple(a1,a1,a1,a1,a8,a1,a5,a1,a11,a1) = tuple(a1,a1,a1,a1,a8,a4,a5,a1,a11,a1),
inference(congruence,[status(thm)],[c271]) ).
cnf(c273,plain,
a1 = a10,
inference(symmetry,[status(thm)],[c174]) ).
cnf(c274,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a1,a11,a1) = tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a1),
inference(congruence,[status(thm)],[c273]) ).
cnf(c275,plain,
a1 = a10,
inference(symmetry,[status(thm)],[c174]) ).
cnf(c276,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a1) = tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a10),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
a1 = a3,
inference(symmetry,[status(thm)],[c165]) ).
cnf(c278,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a10) = tuple(a1,a1,a1,a3,a8,a4,a5,a10,a11,a10),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
a1 = a7,
inference(symmetry,[status(thm)],[c141]) ).
cnf(c280,plain,
tuple(a1,a1,a1,a3,a8,a4,a5,a10,a11,a10) = tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a10),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
a10 = a9,
inference(symmetry,[status(thm)],[c133]) ).
cnf(c282,plain,
tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a10) = tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(congruence,[status(thm)],[c281]) ).
cnf(c283,plain,
a1 = a2,
inference(symmetry,[status(thm)],[c118]) ).
cnf(c284,plain,
tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a9) = tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
a1 = a6,
inference(symmetry,[status(thm)],[c112]) ).
cnf(c286,plain,
tuple(a2,a7,a1,a3,a8,a4,a5,a10,a11,a9) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(congruence,[status(thm)],[c285]) ).
cnf(c287,plain,
tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a9) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c284,c286]) ).
cnf(c288,plain,
tuple(a1,a7,a1,a3,a8,a4,a5,a10,a11,a10) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c282,c287]) ).
cnf(c289,plain,
tuple(a1,a1,a1,a3,a8,a4,a5,a10,a11,a10) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c280,c288]) ).
cnf(c290,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a10) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c278,c289]) ).
cnf(c291,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a10,a11,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c276,c290]) ).
cnf(c292,plain,
tuple(a1,a1,a1,a1,a8,a4,a5,a1,a11,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c274,c291]) ).
cnf(c293,plain,
tuple(a1,a1,a1,a1,a8,a1,a5,a1,a11,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c272,c292]) ).
cnf(c294,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c270,c293]) ).
cnf(c295,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a1,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c268,c294]) ).
cnf(c296,plain,
tuple(a1,a1,a1,a1,a1,a1,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c266,c295]) ).
cnf(c297,plain,
tuple(a1,a1,a1,a1,a1,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c264,c296]) ).
cnf(c298,plain,
tuple(a1,a1,a1,a1,a11,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c262,c297]) ).
cnf(c299,plain,
tuple(a1,a1,a1,a11,a11,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c260,c298]) ).
cnf(c300,plain,
tuple(a1,a1,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c258,c299]) ).
cnf(c301,plain,
tuple(a1,a11,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c256,c300]) ).
cnf(c302,plain,
tuple(a11,a11,a11,a11,a11,a11,a5,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c254,c301]) ).
cnf(c303,plain,
tuple(a11,a11,a11,a11,a11,a11,a11,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c252,c302]) ).
cnf(c304,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a11) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c250,c303]) ).
cnf(c305,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a11,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c239,c304]) ).
cnf(c306,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a11,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c238,c305]) ).
cnf(c307,plain,
tuple(a11,a11,a5,a11,a11,a11,a11,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c237,c306]) ).
cnf(c308,plain,
tuple(a11,a11,a5,a11,a11,a11,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c236,c307]) ).
cnf(c309,plain,
tuple(a11,a11,a5,a11,a11,a1,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c235,c308]) ).
cnf(c310,plain,
tuple(a11,a11,a5,a11,a1,a1,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c234,c309]) ).
cnf(c311,plain,
tuple(a11,a11,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c233,c310]) ).
cnf(c312,plain,
tuple(a11,a1,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c232,c311]) ).
cnf(c313,plain,
tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a1) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c231,c312]) ).
cnf(c314,plain,
tuple(a1,a1,a5,a1,a1,a1,a1,a1,a1,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c214,c313]) ).
cnf(c315,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a1,a1,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c191,c314]) ).
cnf(c316,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a1,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c176,c315]) ).
cnf(c317,plain,
tuple(a1,a1,a5,a1,a1,a1,a4,a10,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c175,c316]) ).
cnf(c318,plain,
tuple(a1,a1,a5,a1,a1,a3,a4,a10,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c166,c317]) ).
cnf(c319,plain,
tuple(a1,a1,a5,a1,a7,a3,a4,a10,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c142,c318]) ).
cnf(c320,plain,
tuple(a1,a1,a5,a1,a7,a3,a4,a9,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c134,c319]) ).
cnf(c321,plain,
tuple(a1,a1,a5,a2,a7,a3,a4,a9,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c119,c320]) ).
cnf(c322,plain,
tuple(a1,a6,a5,a2,a7,a3,a4,a9,a10,a8) = tuple(a2,a7,a6,a3,a8,a4,a5,a10,a11,a9),
inference(transitivity,[status(thm)],[c113,c321]) ).
cnf(c323,plain,
$false,
inference(resolution,[status(thm)],[c1,c322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP051-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.18 % Computer : n019.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 19:08:23 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.29 Command-line arguments: --no-flatten-goal
% 0.22/0.29
% 0.22/0.29 % SZS status Unsatisfiable
% 0.22/0.29
% 0.22/0.31 % SZS output start CNFRefutation
% See solution above
% 1.17/0.44
% 1.17/0.44 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------