%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:07:15 AM UTC 2026
% Result : Unsatisfiable 0.65s 0.39s
% Output : CNFRefutation 2.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 4
% Syntax : Number of clauses : 218 ( 218 unt; 0 nHn; 3 RR)
% Number of literals : 218 ( 217 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 853 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(mult(a,b),mult(c,mult(d,e))) != mult(a,mult(c,mult(mult(d,b),e))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(A,mult(B,mult(C,D))) = mult(C,mult(B,mult(A,D))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c02) ).
cnf(c3,plain,
mult(mult(X3,X2),mult(X,mult(X3,X))) = mult(X3,mult(X,mult(mult(X3,X2),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,axiom,
mult(mult(A2,mult(B2,mult(C2,B2))),D2) = mult(A2,mult(D2,mult(mult(C2,B2),D2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c03) ).
cnf(c5,plain,
mult(mult(X3,mult(X2,mult(X3,X2))),X) = mult(X3,mult(X,mult(mult(X3,X2),X))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c6,plain,
mult(X3,mult(X,mult(mult(X3,X2),X))) = mult(mult(X3,mult(X2,mult(X3,X2))),X),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,axiom,
mult(A2,mult(B2,mult(A2,B2))) = mult(A2,B2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c01) ).
cnf(c8,plain,
mult(X2,mult(X,mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c9,plain,
mult(mult(X3,mult(X2,mult(X3,X2))),X) = mult(mult(X3,X2),X),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(X3,mult(X,mult(mult(X3,X2),X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c6,c9]) ).
cnf(c11,plain,
mult(mult(X3,X2),mult(X,mult(X3,X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c3,c10]) ).
cnf(c12,plain,
mult(mult(X3,X2),mult(mult(X,mult(mult(X5,X2),X4)),mult(X3,mult(X,mult(mult(X5,X2),X4))))) = mult(mult(X3,X2),mult(X,mult(mult(X5,X2),X4))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X))) = mult(mult(X5,X4),mult(mult(X3,mult(mult(X2,X4),X)),mult(X5,mult(X3,mult(mult(X2,X4),X))))),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
mult(mult(X2,X),mult(X3,mult(X4,X))) = mult(X4,mult(X3,mult(mult(X2,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c15,plain,
mult(mult(X2,X),mult(X,mult(X2,X))) = mult(mult(X2,X),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c16,plain,
mult(mult(X2,X),X) = mult(mult(X2,X),mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
mult(mult(X2,X),mult(X,mult(X2,X))) = mult(X2,mult(X,mult(mult(X2,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c18,plain,
mult(mult(X,X2),mult(X2,mult(X,X2))) = mult(mult(X,X2),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c19,plain,
mult(mult(X,X2),X2) = mult(mult(X,X2),mult(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(X2,mult(mult(X,X2),X2)) = mult(X2,mult(mult(X,X2),mult(X2,mult(X,X2)))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
mult(X2,mult(mult(X,X2),mult(X2,mult(X,X2)))) = mult(X2,mult(X,X2)),
inference(substitution,[status(thm)],[c7]) ).
cnf(c22,plain,
mult(X2,mult(mult(X,X2),X2)) = mult(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c20,c21]) ).
cnf(c23,plain,
mult(X,mult(mult(X2,X),X)) = mult(X,mult(X2,X)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c24,plain,
mult(X2,mult(X,mult(mult(X2,X),X))) = mult(X2,mult(X,mult(X2,X))),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(X2,mult(X,mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c26,plain,
mult(X2,mult(X,mult(mult(X2,X),X))) = mult(X2,X),
inference(transitivity,[status(thm)],[c24,c25]) ).
cnf(c27,plain,
mult(mult(X2,X),mult(X,mult(X2,X))) = mult(X2,X),
inference(transitivity,[status(thm)],[c17,c26]) ).
cnf(c28,plain,
mult(mult(X2,X),X) = mult(X2,X),
inference(transitivity,[status(thm)],[c16,c27]) ).
cnf(c29,plain,
mult(X3,mult(mult(X2,X),X)) = mult(X3,mult(X2,X)),
inference(congruence,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(X4,mult(X3,mult(mult(X2,X),X))) = mult(X4,mult(X3,mult(X2,X))),
inference(congruence,[status(thm)],[c29]) ).
cnf(c31,plain,
mult(mult(X2,X),mult(X3,mult(X4,X))) = mult(X4,mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c14,c30]) ).
cnf(c32,plain,
mult(mult(X3,mult(mult(X2,X),X5)),mult(X4,mult(X3,mult(mult(X2,X),X5)))) = mult(X3,mult(X4,mult(X3,mult(mult(X2,X),X5)))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c33,plain,
mult(mult(mult(X5,X4),X3),mult(X3,mult(X2,mult(X,mult(mult(X5,X4),X3))))) = mult(X2,mult(X3,mult(mult(mult(X5,X4),X3),mult(X,mult(mult(X5,X4),X3))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c34,plain,
mult(X4,mult(mult(mult(X3,X2),X4),mult(X,mult(mult(X3,X2),X4)))) = mult(X,mult(mult(mult(X3,X2),X4),mult(X4,mult(mult(X3,X2),X4)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c35,plain,
mult(mult(X4,X3),mult(X2,mult(mult(X4,X),X2))) = mult(mult(X4,X),mult(X2,mult(mult(X4,X3),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c36,plain,
mult(mult(mult(X4,X),mult(X3,mult(X4,X3))),X2) = mult(mult(X4,X),mult(X2,mult(mult(X4,X3),X2))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c37,plain,
mult(mult(X4,X),mult(X2,mult(mult(X4,X3),X2))) = mult(mult(mult(X4,X),mult(X3,mult(X4,X3))),X2),
inference(symmetry,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(mult(X3,X),mult(X2,mult(X3,X2))) = mult(mult(X3,X),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c39,plain,
mult(mult(mult(X4,X),mult(X3,mult(X4,X3))),X2) = mult(mult(mult(X4,X),X3),X2),
inference(congruence,[status(thm)],[c38]) ).
cnf(c40,plain,
mult(mult(X4,X),mult(X2,mult(mult(X4,X3),X2))) = mult(mult(mult(X4,X),X3),X2),
inference(transitivity,[status(thm)],[c37,c39]) ).
cnf(c41,plain,
mult(mult(X4,X3),mult(X2,mult(mult(X4,X),X2))) = mult(mult(mult(X4,X),X3),X2),
inference(transitivity,[status(thm)],[c35,c40]) ).
cnf(c42,plain,
mult(mult(X3,X),mult(X,mult(mult(X3,X2),X))) = mult(mult(mult(X3,X2),X),X),
inference(substitution,[status(thm)],[c41]) ).
cnf(c43,plain,
mult(mult(mult(X3,X2),X),X) = mult(mult(X3,X),mult(X,mult(mult(X3,X2),X))),
inference(symmetry,[status(thm)],[c42]) ).
cnf(c44,plain,
mult(mult(X3,X),mult(X,mult(mult(X3,X2),X))) = mult(mult(X3,X2),mult(X,mult(mult(X3,X),X))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c45,plain,
mult(X,mult(mult(X2,X),X)) = mult(X,mult(X2,X)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c46,plain,
mult(mult(X3,X2),mult(X,mult(mult(X3,X),X))) = mult(mult(X3,X2),mult(X,mult(X3,X))),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
mult(mult(X3,X2),mult(X,mult(mult(X3,X),X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c46,c11]) ).
cnf(c48,plain,
mult(mult(X3,X),mult(X,mult(mult(X3,X2),X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c44,c47]) ).
cnf(c49,plain,
mult(mult(mult(X3,X2),X),X) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c43,c48]) ).
cnf(c50,plain,
mult(mult(X3,X2),X) = mult(mult(mult(X3,X2),X),X),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
mult(X,mult(mult(X3,X2),X)) = mult(X,mult(mult(mult(X3,X2),X),X)),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
mult(mult(mult(X3,X2),X),mult(X,mult(mult(X3,X2),X))) = mult(mult(mult(X3,X2),X),mult(X,mult(mult(mult(X3,X2),X),X))),
inference(congruence,[status(thm)],[c51]) ).
cnf(c53,plain,
mult(mult(mult(X3,X2),X),mult(X,mult(mult(mult(X3,X2),X),X))) = mult(mult(mult(X3,X2),X),X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c54,plain,
mult(mult(mult(X3,X2),X),mult(X,mult(mult(mult(X3,X2),X),X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c53,c49]) ).
cnf(c55,plain,
mult(mult(mult(X3,X2),X),mult(X,mult(mult(X3,X2),X))) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c52,c54]) ).
cnf(c56,plain,
mult(mult(mult(X2,X),X3),mult(X3,mult(mult(X2,X),X3))) = mult(mult(X2,X),X3),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
mult(X,mult(mult(mult(X3,X2),X4),mult(X4,mult(mult(X3,X2),X4)))) = mult(X,mult(mult(X3,X2),X4)),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(X4,mult(mult(mult(X3,X2),X4),mult(X,mult(mult(X3,X2),X4)))) = mult(X,mult(mult(X3,X2),X4)),
inference(transitivity,[status(thm)],[c34,c57]) ).
cnf(c59,plain,
mult(X2,mult(mult(mult(X4,X3),X2),mult(X,mult(mult(X4,X3),X2)))) = mult(X,mult(mult(X4,X3),X2)),
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
mult(X2,mult(X3,mult(mult(mult(X5,X4),X3),mult(X,mult(mult(X5,X4),X3))))) = mult(X2,mult(X,mult(mult(X5,X4),X3))),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
mult(mult(mult(X5,X4),X3),mult(X3,mult(X2,mult(X,mult(mult(X5,X4),X3))))) = mult(X2,mult(X,mult(mult(X5,X4),X3))),
inference(transitivity,[status(thm)],[c33,c60]) ).
cnf(c62,plain,
mult(mult(mult(X2,X),X5),mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5))))) = mult(X4,mult(X3,mult(mult(X2,X),X5))),
inference(substitution,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(X4,mult(X3,mult(mult(X2,X),X5))) = mult(mult(mult(X2,X),X5),mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5))))),
inference(symmetry,[status(thm)],[c62]) ).
cnf(c64,plain,
mult(X3,mult(X4,mult(X3,mult(mult(X2,X),X5)))) = mult(X3,mult(mult(mult(X2,X),X5),mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5)))))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
mult(X2,mult(X3,mult(X4,mult(X,mult(X4,X3))))) = mult(X4,mult(X3,mult(X2,mult(X,mult(X4,X3))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c66,plain,
mult(X4,mult(X3,mult(X2,mult(X,mult(X4,X3))))) = mult(X2,mult(X3,mult(X4,mult(X,mult(X4,X3))))),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(X,mult(X2,mult(X3,mult(X2,X3)))) = mult(X3,mult(X2,mult(X,mult(X2,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c68,plain,
mult(X3,mult(X2,mult(X,mult(X2,X3)))) = mult(X,mult(X2,mult(X3,mult(X2,X3)))),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
mult(X,mult(X2,mult(X,X2))) = mult(X,X2),
inference(substitution,[status(thm)],[c7]) ).
cnf(c70,plain,
mult(X,mult(X2,mult(X3,mult(X2,X3)))) = mult(X,mult(X2,X3)),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
mult(X3,mult(X2,mult(X,mult(X2,X3)))) = mult(X,mult(X2,X3)),
inference(transitivity,[status(thm)],[c68,c70]) ).
cnf(c72,plain,
mult(X2,mult(X3,mult(X,mult(X3,X2)))) = mult(X,mult(X3,X2)),
inference(substitution,[status(thm)],[c71]) ).
cnf(c73,plain,
mult(X2,mult(X3,mult(X4,mult(X,mult(X4,X3))))) = mult(X2,mult(X,mult(X4,X3))),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
mult(X4,mult(X3,mult(X2,mult(X,mult(X4,X3))))) = mult(X2,mult(X,mult(X4,X3))),
inference(transitivity,[status(thm)],[c66,c73]) ).
cnf(c75,plain,
mult(X3,mult(mult(mult(X2,X),X5),mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5)))))) = mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5)))),
inference(substitution,[status(thm)],[c74]) ).
cnf(c76,plain,
mult(X3,mult(X4,mult(X3,mult(mult(X2,X),X5)))) = mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5)))),
inference(transitivity,[status(thm)],[c64,c75]) ).
cnf(c77,plain,
mult(mult(X3,mult(mult(X2,X),X5)),mult(X4,mult(X3,mult(mult(X2,X),X5)))) = mult(X5,mult(X4,mult(X3,mult(mult(X2,X),X5)))),
inference(transitivity,[status(thm)],[c32,c76]) ).
cnf(c78,plain,
mult(mult(X3,mult(mult(X2,X4),X)),mult(X5,mult(X3,mult(mult(X2,X4),X)))) = mult(X,mult(X5,mult(X3,mult(mult(X2,X4),X)))),
inference(substitution,[status(thm)],[c77]) ).
cnf(c79,plain,
mult(mult(X5,X4),mult(mult(X3,mult(mult(X2,X4),X)),mult(X5,mult(X3,mult(mult(X2,X4),X))))) = mult(mult(X5,X4),mult(X,mult(X5,mult(X3,mult(mult(X2,X4),X))))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
mult(mult(X5,X4),mult(X,mult(X5,mult(X3,mult(mult(X2,X4),X))))) = mult(X5,mult(X,mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c81,plain,
mult(mult(X2,mult(X,X4)),mult(X3,mult(X2,mult(X,X4)))) = mult(X2,mult(X3,mult(X2,mult(X,X4)))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c82,plain,
mult(mult(X4,X3),mult(X3,mult(X2,mult(X,mult(X4,X3))))) = mult(X2,mult(X3,mult(mult(X4,X3),mult(X,mult(X4,X3))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c83,plain,
mult(X3,mult(mult(X2,X3),mult(X,mult(X2,X3)))) = mult(X,mult(mult(X2,X3),mult(X3,mult(X2,X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c84,plain,
mult(mult(X,X2),mult(X2,mult(X,X2))) = mult(mult(X,X2),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c85,plain,
mult(X,mult(mult(X2,X3),mult(X3,mult(X2,X3)))) = mult(X,mult(mult(X2,X3),X3)),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
mult(mult(X,X2),X2) = mult(X,X2),
inference(substitution,[status(thm)],[c28]) ).
cnf(c87,plain,
mult(X,mult(mult(X2,X3),X3)) = mult(X,mult(X2,X3)),
inference(congruence,[status(thm)],[c86]) ).
cnf(c88,plain,
mult(X,mult(mult(X2,X3),mult(X3,mult(X2,X3)))) = mult(X,mult(X2,X3)),
inference(transitivity,[status(thm)],[c85,c87]) ).
cnf(c89,plain,
mult(X3,mult(mult(X2,X3),mult(X,mult(X2,X3)))) = mult(X,mult(X2,X3)),
inference(transitivity,[status(thm)],[c83,c88]) ).
cnf(c90,plain,
mult(X2,mult(mult(X3,X2),mult(X,mult(X3,X2)))) = mult(X,mult(X3,X2)),
inference(substitution,[status(thm)],[c89]) ).
cnf(c91,plain,
mult(X2,mult(X3,mult(mult(X4,X3),mult(X,mult(X4,X3))))) = mult(X2,mult(X,mult(X4,X3))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
mult(mult(X4,X3),mult(X3,mult(X2,mult(X,mult(X4,X3))))) = mult(X2,mult(X,mult(X4,X3))),
inference(transitivity,[status(thm)],[c82,c91]) ).
cnf(c93,plain,
mult(mult(X,X4),mult(X4,mult(X3,mult(X2,mult(X,X4))))) = mult(X3,mult(X2,mult(X,X4))),
inference(substitution,[status(thm)],[c92]) ).
cnf(c94,plain,
mult(X3,mult(X2,mult(X,X4))) = mult(mult(X,X4),mult(X4,mult(X3,mult(X2,mult(X,X4))))),
inference(symmetry,[status(thm)],[c93]) ).
cnf(c95,plain,
mult(X2,mult(X3,mult(X2,mult(X,X4)))) = mult(X2,mult(mult(X,X4),mult(X4,mult(X3,mult(X2,mult(X,X4)))))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
mult(X2,mult(mult(X,X4),mult(X4,mult(X3,mult(X2,mult(X,X4)))))) = mult(X4,mult(X3,mult(X2,mult(X,X4)))),
inference(substitution,[status(thm)],[c74]) ).
cnf(c97,plain,
mult(X2,mult(X3,mult(X2,mult(X,X4)))) = mult(X4,mult(X3,mult(X2,mult(X,X4)))),
inference(transitivity,[status(thm)],[c95,c96]) ).
cnf(c98,plain,
mult(mult(X2,mult(X,X4)),mult(X3,mult(X2,mult(X,X4)))) = mult(X4,mult(X3,mult(X2,mult(X,X4)))),
inference(transitivity,[status(thm)],[c81,c97]) ).
cnf(c99,plain,
mult(mult(X2,mult(X,X5)),mult(mult(X4,X3),mult(X2,mult(X,X5)))) = mult(X5,mult(mult(X4,X3),mult(X2,mult(X,X5)))),
inference(substitution,[status(thm)],[c98]) ).
cnf(c100,plain,
mult(X5,mult(mult(X4,X3),mult(X2,mult(X,X5)))) = mult(X2,mult(mult(X4,X3),mult(X5,mult(X,X5)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c101,plain,
mult(mult(mult(X4,X3),mult(X3,mult(X,X3))),X2) = mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X2))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c102,plain,
mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X2))) = mult(mult(mult(X4,X3),mult(X3,mult(X,X3))),X2),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
mult(mult(X3,X2),mult(X2,mult(X,X2))) = mult(X,mult(X2,mult(X3,X2))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c104,plain,
mult(mult(mult(X4,X3),mult(X3,mult(X,X3))),X2) = mult(mult(X,mult(X3,mult(X4,X3))),X2),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
mult(mult(X,mult(X3,mult(X4,X3))),X2) = mult(X,mult(X2,mult(mult(X4,X3),X2))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c106,plain,
mult(mult(X4,X3),mult(X2,mult(X,X2))) = mult(X,mult(X2,mult(mult(X4,X3),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c107,plain,
mult(X,mult(X2,mult(mult(X4,X3),X2))) = mult(mult(X4,X3),mult(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c106]) ).
cnf(c108,plain,
mult(mult(X,mult(X3,mult(X4,X3))),X2) = mult(mult(X4,X3),mult(X2,mult(X,X2))),
inference(transitivity,[status(thm)],[c105,c107]) ).
cnf(c109,plain,
mult(mult(mult(X4,X3),mult(X3,mult(X,X3))),X2) = mult(mult(X4,X3),mult(X2,mult(X,X2))),
inference(transitivity,[status(thm)],[c104,c108]) ).
cnf(c110,plain,
mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X2))) = mult(mult(X4,X3),mult(X2,mult(X,X2))),
inference(transitivity,[status(thm)],[c102,c109]) ).
cnf(c111,plain,
mult(mult(X3,X2),mult(X4,mult(mult(X,X2),X4))) = mult(mult(X3,X2),mult(X4,mult(X,X4))),
inference(substitution,[status(thm)],[c110]) ).
cnf(c112,plain,
mult(mult(X3,X2),mult(X4,mult(X,X4))) = mult(mult(X3,X2),mult(X4,mult(mult(X,X2),X4))),
inference(symmetry,[status(thm)],[c111]) ).
cnf(c113,plain,
mult(X2,mult(mult(X4,X3),mult(X5,mult(X,X5)))) = mult(X2,mult(mult(X4,X3),mult(X5,mult(mult(X,X3),X5)))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
mult(X5,mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X5)))) = mult(X2,mult(mult(X4,X3),mult(X5,mult(mult(X,X3),X5)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c115,plain,
mult(X2,mult(mult(X4,X3),mult(X5,mult(mult(X,X3),X5)))) = mult(X5,mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X5)))),
inference(symmetry,[status(thm)],[c114]) ).
cnf(c116,plain,
mult(X2,mult(mult(X4,X3),mult(X5,mult(X,X5)))) = mult(X5,mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X5)))),
inference(transitivity,[status(thm)],[c113,c115]) ).
cnf(c117,plain,
mult(X5,mult(mult(X4,X3),mult(X2,mult(X,X5)))) = mult(X5,mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X5)))),
inference(transitivity,[status(thm)],[c100,c116]) ).
cnf(c118,plain,
mult(mult(X2,mult(X,X5)),mult(mult(X4,X3),mult(X2,mult(X,X5)))) = mult(X5,mult(mult(X4,X3),mult(X2,mult(mult(X,X3),X5)))),
inference(transitivity,[status(thm)],[c99,c117]) ).
cnf(c119,plain,
mult(mult(X3,mult(X2,X)),mult(mult(X5,X4),mult(X3,mult(X2,X)))) = mult(X,mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X)))),
inference(substitution,[status(thm)],[c118]) ).
cnf(c120,plain,
mult(X,mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X)))) = mult(mult(X3,mult(X2,X)),mult(mult(X5,X4),mult(X3,mult(X2,X)))),
inference(symmetry,[status(thm)],[c119]) ).
cnf(c121,plain,
mult(X5,mult(X,mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X))))) = mult(X5,mult(mult(X3,mult(X2,X)),mult(mult(X5,X4),mult(X3,mult(X2,X))))),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
mult(X3,mult(X2,mult(mult(X3,X),X2))) = mult(mult(X3,X),mult(X2,mult(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c123,plain,
mult(mult(X3,X),mult(X2,mult(X3,X2))) = mult(mult(X3,X),X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c124,plain,
mult(X3,mult(X2,mult(mult(X3,X),X2))) = mult(mult(X3,X),X2),
inference(transitivity,[status(thm)],[c122,c123]) ).
cnf(c125,plain,
mult(X5,mult(mult(X3,mult(X2,X)),mult(mult(X5,X4),mult(X3,mult(X2,X))))) = mult(mult(X5,X4),mult(X3,mult(X2,X))),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
mult(X5,mult(X,mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X))))) = mult(mult(X5,X4),mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c121,c125]) ).
cnf(c127,plain,
mult(mult(X5,X4),mult(X,mult(X5,mult(X3,mult(mult(X2,X4),X))))) = mult(mult(X5,X4),mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c80,c126]) ).
cnf(c128,plain,
mult(mult(X5,X4),mult(mult(X3,mult(mult(X2,X4),X)),mult(X5,mult(X3,mult(mult(X2,X4),X))))) = mult(mult(X5,X4),mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c79,c127]) ).
cnf(c129,plain,
mult(mult(X5,X4),mult(X3,mult(mult(X2,X4),X))) = mult(mult(X5,X4),mult(X3,mult(X2,X))),
inference(transitivity,[status(thm)],[c13,c128]) ).
cnf(c130,plain,
mult(mult(X2,X),mult(X5,mult(mult(X4,X),X3))) = mult(mult(X2,X),mult(X5,mult(X4,X3))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c131,plain,
mult(mult(X3,X2),mult(X,mult(X5,X4))) = mult(mult(X3,X2),mult(X,mult(mult(X5,X2),X4))),
inference(symmetry,[status(thm)],[c130]) ).
cnf(c132,plain,
mult(mult(X6,mult(mult(X5,X2),X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))) = mult(mult(X6,mult(mult(X5,X2),X4)),mult(mult(X3,X2),mult(X,mult(mult(X5,X2),X4)))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
mult(mult(X6,mult(mult(X5,X2),X4)),mult(mult(X3,X2),mult(X,mult(mult(X5,X2),X4)))) = mult(X,mult(mult(X3,X2),mult(X6,mult(mult(X5,X2),X4)))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c134,plain,
mult(mult(X2,X),mult(X5,mult(mult(X4,X),X3))) = mult(mult(X2,X),mult(X5,mult(X4,X3))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c135,plain,
mult(X,mult(mult(X3,X2),mult(X6,mult(mult(X5,X2),X4)))) = mult(X,mult(mult(X3,X2),mult(X6,mult(X5,X4)))),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
mult(mult(X6,mult(X5,X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))) = mult(X,mult(mult(X3,X2),mult(X6,mult(X5,X4)))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c137,plain,
mult(X,mult(mult(X3,X2),mult(X6,mult(X5,X4)))) = mult(mult(X6,mult(X5,X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c138,plain,
mult(X,mult(mult(X3,X2),mult(X6,mult(mult(X5,X2),X4)))) = mult(mult(X6,mult(X5,X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))),
inference(transitivity,[status(thm)],[c135,c137]) ).
cnf(c139,plain,
mult(mult(X6,mult(mult(X5,X2),X4)),mult(mult(X3,X2),mult(X,mult(mult(X5,X2),X4)))) = mult(mult(X6,mult(X5,X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))),
inference(transitivity,[status(thm)],[c133,c138]) ).
cnf(c140,plain,
mult(mult(X6,mult(mult(X5,X2),X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))) = mult(mult(X6,mult(X5,X4)),mult(mult(X3,X2),mult(X,mult(X5,X4)))),
inference(transitivity,[status(thm)],[c132,c139]) ).
cnf(c141,plain,
mult(mult(X2,mult(mult(X5,X4),X3)),mult(mult(X,X4),mult(X2,mult(X5,X3)))) = mult(mult(X2,mult(X5,X3)),mult(mult(X,X4),mult(X2,mult(X5,X3)))),
inference(substitution,[status(thm)],[c140]) ).
cnf(c142,plain,
mult(mult(mult(X5,X4),X3),mult(mult(X2,mult(mult(X5,X4),X3)),mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(mult(X5,X4),X3),mult(mult(X2,mult(X5,X3)),mult(mult(X,X4),mult(X2,mult(X5,X3))))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
mult(mult(X2,mult(X5,X3)),mult(mult(X,X4),mult(X2,mult(X5,X3)))) = mult(X2,mult(mult(X,X4),mult(X2,mult(X5,X3)))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c144,plain,
mult(mult(mult(X5,X4),X3),mult(mult(X2,mult(X5,X3)),mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(X5,X3))))),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c146,plain,
mult(mult(X,X4),mult(X2,mult(X5,X3))) = mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
mult(X2,mult(mult(X,X4),mult(X2,mult(X5,X3)))) = mult(X2,mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3)))),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))))),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))))) = mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))),
inference(substitution,[status(thm)],[c71]) ).
cnf(c150,plain,
mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c151,plain,
mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(mult(X5,X4),X3))))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(transitivity,[status(thm)],[c149,c150]) ).
cnf(c152,plain,
mult(mult(mult(X5,X4),X3),mult(X2,mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(transitivity,[status(thm)],[c148,c151]) ).
cnf(c153,plain,
mult(mult(mult(X5,X4),X3),mult(mult(X2,mult(X5,X3)),mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(transitivity,[status(thm)],[c144,c152]) ).
cnf(c154,plain,
mult(mult(mult(X5,X4),X3),mult(mult(X2,mult(mult(X5,X4),X3)),mult(mult(X,X4),mult(X2,mult(X5,X3))))) = mult(mult(X,X4),mult(X2,mult(X5,X3))),
inference(transitivity,[status(thm)],[c142,c153]) ).
cnf(c155,plain,
mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(X3,X))))) = mult(mult(X5,X2),mult(X4,mult(X3,X))),
inference(substitution,[status(thm)],[c154]) ).
cnf(c156,plain,
mult(mult(X5,X2),mult(X4,mult(X3,X))) = mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(X3,X))))),
inference(symmetry,[status(thm)],[c155]) ).
cnf(c157,plain,
mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))) = mult(mult(X5,X2),mult(X4,mult(X3,X))),
inference(substitution,[status(thm)],[c129]) ).
cnf(c158,plain,
mult(mult(X5,X2),mult(X4,mult(X3,X))) = mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c159,plain,
mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(X3,X)))) = mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X)))),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(X3,X))))) = mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X))))) = mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c162,plain,
mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X))))),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X))) = mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))),
inference(substitution,[status(thm)],[c31]) ).
cnf(c164,plain,
mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X)))) = mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X)))),
inference(congruence,[status(thm)],[c163]) ).
cnf(c165,plain,
mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X))))) = mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(congruence,[status(thm)],[c164]) ).
cnf(c166,plain,
mult(mult(mult(X5,X2),mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))) = mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c167,plain,
mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(mult(mult(X5,X2),mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
mult(mult(X3,X2),mult(X2,mult(X,X2))) = mult(X,mult(X2,mult(mult(X3,X2),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c169,plain,
mult(X,mult(mult(X2,X),X)) = mult(X,mult(X2,X)),
inference(substitution,[status(thm)],[c22]) ).
cnf(c170,plain,
mult(X,mult(X2,mult(mult(X3,X2),X2))) = mult(X,mult(X2,mult(X3,X2))),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
mult(X,mult(X2,mult(X3,X2))) = mult(X3,mult(X2,mult(X,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c172,plain,
mult(X,mult(X2,mult(mult(X3,X2),X2))) = mult(X3,mult(X2,mult(X,X2))),
inference(transitivity,[status(thm)],[c170,c171]) ).
cnf(c173,plain,
mult(mult(X3,X2),mult(X2,mult(X,X2))) = mult(X3,mult(X2,mult(X,X2))),
inference(transitivity,[status(thm)],[c168,c172]) ).
cnf(c174,plain,
mult(mult(X3,X),mult(X,mult(X2,X))) = mult(X3,mult(X,mult(X2,X))),
inference(substitution,[status(thm)],[c173]) ).
cnf(c175,plain,
mult(mult(mult(X5,X2),mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))) = mult(mult(X5,mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))),
inference(congruence,[status(thm)],[c174]) ).
cnf(c176,plain,
mult(mult(X5,mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))) = mult(X5,mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(substitution,[status(thm)],[c4]) ).
cnf(c177,plain,
mult(mult(X3,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(X5,mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c178,plain,
mult(X5,mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(mult(X3,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(X5,mult(X4,mult(mult(X3,X2),X))))),
inference(symmetry,[status(thm)],[c177]) ).
cnf(c179,plain,
mult(X2,mult(X,mult(mult(X2,mult(X,X2)),mult(X,X2)))) = mult(mult(X2,mult(X,X2)),mult(X,X2)),
inference(substitution,[status(thm)],[c71]) ).
cnf(c180,plain,
mult(mult(X2,mult(X,X2)),mult(X,X2)) = mult(X2,mult(X,mult(mult(X2,mult(X,X2)),mult(X,X2)))),
inference(symmetry,[status(thm)],[c179]) ).
cnf(c181,plain,
mult(X2,mult(X,mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c182,plain,
mult(X2,X) = mult(X2,mult(X,mult(X2,X))),
inference(symmetry,[status(thm)],[c181]) ).
cnf(c183,plain,
mult(mult(X,mult(X2,X)),mult(X2,X)) = mult(mult(X,mult(X2,X)),mult(X2,mult(X,mult(X2,X)))),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X2,X))) = mult(X2,mult(mult(X,mult(X2,X)),mult(X2,mult(X,mult(X2,X))))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X2,mult(X,mult(X2,X))))) = mult(X2,mult(X,mult(X2,X))),
inference(substitution,[status(thm)],[c7]) ).
cnf(c186,plain,
mult(X2,mult(X,mult(X2,X))) = mult(X2,X),
inference(substitution,[status(thm)],[c7]) ).
cnf(c187,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X2,mult(X,mult(X2,X))))) = mult(X2,X),
inference(transitivity,[status(thm)],[c185,c186]) ).
cnf(c188,plain,
mult(X2,mult(mult(X,mult(X2,X)),mult(X2,X))) = mult(X2,X),
inference(transitivity,[status(thm)],[c184,c187]) ).
cnf(c189,plain,
mult(X,mult(mult(X2,mult(X,X2)),mult(X,X2))) = mult(X,X2),
inference(substitution,[status(thm)],[c188]) ).
cnf(c190,plain,
mult(X2,mult(X,mult(mult(X2,mult(X,X2)),mult(X,X2)))) = mult(X2,mult(X,X2)),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
mult(mult(X2,mult(X,X2)),mult(X,X2)) = mult(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c180,c190]) ).
cnf(c192,plain,
mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2)))) = mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),
inference(substitution,[status(thm)],[c191]) ).
cnf(c193,plain,
mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))) = mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2)))),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
mult(mult(X5,X4),mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(mult(X5,X4),mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))),
inference(congruence,[status(thm)],[c193]) ).
cnf(c195,plain,
mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))) = mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),
inference(substitution,[status(thm)],[c77]) ).
cnf(c196,plain,
mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2)))) = mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2)))),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
mult(mult(X5,X4),mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(substitution,[status(thm)],[c74]) ).
cnf(c199,plain,
mult(X,mult(X3,mult(mult(X5,X4),X2))) = mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))),
inference(symmetry,[status(thm)],[c198]) ).
cnf(c200,plain,
mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2)))) = mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))))),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))))),
inference(congruence,[status(thm)],[c200]) ).
cnf(c202,plain,
mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))))) = mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))),
inference(substitution,[status(thm)],[c7]) ).
cnf(c203,plain,
mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(substitution,[status(thm)],[c74]) ).
cnf(c204,plain,
mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(mult(X5,X4),mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2))))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(transitivity,[status(thm)],[c202,c203]) ).
cnf(c205,plain,
mult(mult(X5,X4),mult(mult(X2,mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(transitivity,[status(thm)],[c201,c204]) ).
cnf(c206,plain,
mult(mult(X5,X4),mult(mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2)))),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(transitivity,[status(thm)],[c197,c205]) ).
cnf(c207,plain,
mult(mult(X5,X4),mult(mult(X3,mult(mult(X5,X4),X2)),mult(X,mult(X3,mult(mult(X5,X4),X2))))) = mult(X,mult(X3,mult(mult(X5,X4),X2))),
inference(transitivity,[status(thm)],[c194,c206]) ).
cnf(c208,plain,
mult(mult(X3,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(X5,mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(substitution,[status(thm)],[c207]) ).
cnf(c209,plain,
mult(X5,mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c178,c208]) ).
cnf(c210,plain,
mult(mult(X5,mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c176,c209]) ).
cnf(c211,plain,
mult(mult(mult(X5,X2),mult(X2,mult(X3,X2))),mult(X4,mult(mult(X3,X2),X))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c175,c210]) ).
cnf(c212,plain,
mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X3,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c167,c211]) ).
cnf(c213,plain,
mult(mult(X5,X2),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(mult(X3,X2),X),mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c165,c212]) ).
cnf(c214,plain,
mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(mult(X3,X2),X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c162,c213]) ).
cnf(c215,plain,
mult(mult(mult(X3,X2),X),mult(mult(X4,mult(mult(X3,X2),X)),mult(mult(X5,X2),mult(X4,mult(X3,X))))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c160,c214]) ).
cnf(c216,plain,
mult(mult(X5,X2),mult(X4,mult(X3,X))) = mult(X5,mult(X4,mult(mult(X3,X2),X))),
inference(transitivity,[status(thm)],[c156,c215]) ).
cnf(c217,plain,
mult(mult(a,b),mult(c,mult(d,e))) = mult(a,mult(c,mult(mult(d,b),e))),
inference(substitution,[status(thm)],[c216]) ).
cnf(c218,plain,
$false,
inference(resolution,[status(thm)],[c1,c217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG236-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.18 % Computer : n014.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 19:56:45 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.65/0.39 Command-line arguments: --flatten --complete-subsets
% 0.65/0.39
% 0.65/0.39 % SZS status Unsatisfiable
% 0.65/0.39
% 0.65/0.41 % SZS output start CNFRefutation
% See solution above
% 2.20/0.56
% 2.20/0.56 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------