%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP660-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 10:11:36 AM UTC 2026
% Result : Unsatisfiable 0.64s 0.50s
% Output : CNFRefutation 1.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 6
% Syntax : Number of clauses : 254 ( 254 unt; 0 nHn; 3 RR)
% Number of literals : 254 ( 253 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 522 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(x0,rd(x1,x1)) != x0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(rd(A,B),B) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f03) ).
cnf(c3,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
ld(rd(X2,X),X2) = ld(rd(X2,X),mult(rd(X2,X),X)),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,axiom,
ld(A2,mult(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f02) ).
cnf(c7,plain,
ld(rd(X2,X),mult(rd(X2,X),X)) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c8,plain,
ld(rd(X2,X),X2) = X,
inference(transitivity,[status(thm)],[c5,c7]) ).
cnf(c9,plain,
ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = mult(X,rd(X,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
mult(X,rd(X,X)) = ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
mult(mult(mult(A2,B2),C),A2) = mult(A2,mult(B2,mult(C,A2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f05) ).
cnf(c12,plain,
mult(mult(mult(X2,X),X3),X2) = mult(X2,mult(X,mult(X3,X2))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(X3,mult(X2,mult(X,X3))) = mult(mult(mult(X3,X2),X),X3),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,plain,
rd(mult(X3,mult(X2,mult(X,X3))),X3) = rd(mult(mult(mult(X3,X2),X),X3),X3),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f04) ).
cnf(c16,plain,
rd(mult(mult(mult(X3,X2),X),X3),X3) = mult(mult(X3,X2),X),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
rd(mult(X3,mult(X2,mult(X,X3))),X3) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c14,c16]) ).
cnf(c18,plain,
rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3) = mult(mult(X3,rd(X2,mult(X,X3))),X),
inference(substitution,[status(thm)],[c17]) ).
cnf(c19,plain,
mult(mult(X3,rd(X2,mult(X,X3))),X) = rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
mult(rd(X2,mult(X,X3)),mult(X,X3)) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c21,plain,
mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))) = mult(X3,X2),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3) = rd(mult(X3,X2),X3),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
mult(mult(X3,rd(X2,mult(X,X3))),X) = rd(mult(X3,X2),X3),
inference(transitivity,[status(thm)],[c19,c22]) ).
cnf(c24,plain,
rd(mult(X3,X2),X3) = mult(mult(X3,rd(X2,mult(X,X3))),X),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
rd(rd(mult(X3,X2),X3),X) = rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X),
inference(congruence,[status(thm)],[c24]) ).
cnf(c26,plain,
rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X) = mult(X3,rd(X2,mult(X,X3))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c27,plain,
rd(rd(mult(X3,X2),X3),X) = mult(X3,rd(X2,mult(X,X3))),
inference(transitivity,[status(thm)],[c25,c26]) ).
cnf(c28,plain,
rd(rd(mult(X2,X2),X2),X) = mult(X2,rd(X2,mult(X,X2))),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
mult(X2,rd(X2,mult(X,X2))) = rd(rd(mult(X2,X2),X2),X),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
rd(mult(X,X),X) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c31,plain,
rd(rd(mult(X2,X2),X2),X) = rd(X2,X),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(X2,rd(X2,mult(X,X2))) = rd(X2,X),
inference(transitivity,[status(thm)],[c29,c31]) ).
cnf(c33,plain,
rd(X2,X) = mult(X2,rd(X2,mult(X,X2))),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
ld(X2,rd(X2,X)) = ld(X2,mult(X2,rd(X2,mult(X,X2)))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
ld(X2,mult(X2,rd(X2,mult(X,X2)))) = rd(X2,mult(X,X2)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c36,plain,
ld(X2,rd(X2,X)) = rd(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c34,c35]) ).
cnf(c37,plain,
ld(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c36]) ).
cnf(c38,plain,
rd(rd(X,X),mult(X,rd(X,X))) = ld(rd(X,X),rd(rd(X,X),X)),
inference(symmetry,[status(thm)],[c37]) ).
cnf(c39,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f01) ).
cnf(c40,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c39]) ).
cnf(c41,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
mult(X,rd(X2,X3)) = mult(mult(X2,ld(X2,X)),rd(X2,X3)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,plain,
ld(rd(X2,X3),mult(X,rd(X2,X3))) = ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c45,plain,
mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))) = mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c47,plain,
mult(mult(rd(X3,X2),X2),X) = mult(X3,X),
inference(congruence,[status(thm)],[c46]) ).
cnf(c48,plain,
mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)) = mult(mult(X3,X),rd(X3,X2)),
inference(congruence,[status(thm)],[c47]) ).
cnf(c49,plain,
mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))) = mult(mult(X3,X),rd(X3,X2)),
inference(transitivity,[status(thm)],[c45,c48]) ).
cnf(c50,plain,
mult(mult(X3,X),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
ld(rd(X3,X2),mult(mult(X3,X),rd(X3,X2))) = ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2))))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
ld(rd(X3,X2),mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2))))) = mult(X2,mult(X,rd(X3,X2))),
inference(substitution,[status(thm)],[c6]) ).
cnf(c53,plain,
ld(rd(X3,X2),mult(mult(X3,X),rd(X3,X2))) = mult(X2,mult(X,rd(X3,X2))),
inference(transitivity,[status(thm)],[c51,c52]) ).
cnf(c54,plain,
ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))) = mult(X3,mult(ld(X2,X),rd(X2,X3))),
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
ld(rd(X2,X3),mult(X,rd(X2,X3))) = mult(X3,mult(ld(X2,X),rd(X2,X3))),
inference(transitivity,[status(thm)],[c43,c54]) ).
cnf(c56,plain,
ld(rd(X2,X2),mult(X,rd(X2,X2))) = mult(X2,mult(ld(X2,X),rd(X2,X2))),
inference(substitution,[status(thm)],[c55]) ).
cnf(c57,plain,
rd(ld(rd(X2,X2),mult(X,rd(X2,X2))),X2) = rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2),
inference(congruence,[status(thm)],[c56]) ).
cnf(c58,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c59,plain,
X = mult(rd(X,X2),X2),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,plain,
mult(X2,X) = mult(X2,mult(rd(X,X3),X3)),
inference(congruence,[status(thm)],[c59]) ).
cnf(c61,plain,
mult(X3,mult(X2,X)) = mult(X3,mult(X2,mult(rd(X,X3),X3))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
rd(mult(X3,mult(X2,X)),X3) = rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3),
inference(congruence,[status(thm)],[c61]) ).
cnf(c63,plain,
rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3) = mult(mult(X3,X2),rd(X,X3)),
inference(substitution,[status(thm)],[c17]) ).
cnf(c64,plain,
rd(mult(X3,mult(X2,X)),X3) = mult(mult(X3,X2),rd(X,X3)),
inference(transitivity,[status(thm)],[c62,c63]) ).
cnf(c65,plain,
rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2) = mult(mult(X2,ld(X2,X)),rd(rd(X2,X2),X2)),
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c39]) ).
cnf(c67,plain,
mult(mult(X2,ld(X2,X)),rd(rd(X2,X2),X2)) = mult(X,rd(rd(X2,X2),X2)),
inference(congruence,[status(thm)],[c66]) ).
cnf(c68,plain,
rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
inference(transitivity,[status(thm)],[c65,c67]) ).
cnf(c69,plain,
rd(ld(rd(X2,X2),mult(X,rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
inference(transitivity,[status(thm)],[c57,c68]) ).
cnf(c70,plain,
rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X) = mult(rd(X,X),rd(rd(X,X),X)),
inference(substitution,[status(thm)],[c69]) ).
cnf(c71,plain,
mult(rd(X,X),rd(rd(X,X),X)) = rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X),
inference(symmetry,[status(thm)],[c70]) ).
cnf(c72,plain,
ld(rd(X,X),mult(rd(X,X),rd(X,X))) = rd(X,X),
inference(substitution,[status(thm)],[c6]) ).
cnf(c73,plain,
rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X) = rd(rd(X,X),X),
inference(congruence,[status(thm)],[c72]) ).
cnf(c74,plain,
mult(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),X),
inference(transitivity,[status(thm)],[c71,c73]) ).
cnf(c75,plain,
rd(rd(X,X),X) = mult(rd(X,X),rd(rd(X,X),X)),
inference(symmetry,[status(thm)],[c74]) ).
cnf(c76,plain,
ld(rd(X,X),rd(rd(X,X),X)) = ld(rd(X,X),mult(rd(X,X),rd(rd(X,X),X))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
ld(rd(X,X),mult(rd(X,X),rd(rd(X,X),X))) = rd(rd(X,X),X),
inference(substitution,[status(thm)],[c6]) ).
cnf(c78,plain,
ld(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),X),
inference(transitivity,[status(thm)],[c76,c77]) ).
cnf(c79,plain,
rd(rd(X,X),mult(X,rd(X,X))) = rd(rd(X,X),X),
inference(transitivity,[status(thm)],[c38,c78]) ).
cnf(c80,plain,
ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = ld(rd(rd(X,X),X),rd(X,X)),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
ld(rd(rd(X,X),X),rd(X,X)) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c82,plain,
ld(rd(rd(X,X),mult(X,rd(X,X))),rd(X,X)) = X,
inference(transitivity,[status(thm)],[c80,c81]) ).
cnf(c83,plain,
mult(X,rd(X,X)) = X,
inference(transitivity,[status(thm)],[c10,c82]) ).
cnf(c84,plain,
X = mult(X,rd(X,X)),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
ld(X,X) = ld(X,mult(X,rd(X,X))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
ld(X,mult(X,rd(X,X))) = rd(X,X),
inference(substitution,[status(thm)],[c6]) ).
cnf(c87,plain,
ld(X,X) = rd(X,X),
inference(transitivity,[status(thm)],[c85,c86]) ).
cnf(c88,plain,
rd(X,X) = ld(X,X),
inference(symmetry,[status(thm)],[c87]) ).
cnf(c89,plain,
rd(rd(X,X),rd(X,X)) = rd(ld(X,X),rd(X,X)),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
rd(mult(rd(ld(X,X),rd(X,X)),X),X) = rd(ld(X,X),rd(X,X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c91,plain,
rd(ld(X,X),rd(X,X)) = rd(mult(rd(ld(X,X),rd(X,X)),X),X),
inference(symmetry,[status(thm)],[c90]) ).
cnf(c92,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c93,plain,
X2 = mult(rd(X2,X),X),
inference(symmetry,[status(thm)],[c92]) ).
cnf(c94,plain,
rd(X2,rd(X2,X)) = rd(mult(rd(X2,X),X),rd(X2,X)),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
ld(X2,rd(X2,rd(X2,X))) = ld(X2,rd(mult(rd(X2,X),X),rd(X2,X))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c39]) ).
cnf(c97,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
mult(rd(X3,X2),X) = mult(rd(X3,X2),mult(X2,ld(X2,X))),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
rd(mult(rd(X3,X2),X),rd(X3,X2)) = rd(mult(rd(X3,X2),mult(X2,ld(X2,X))),rd(X3,X2)),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))) = mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)),
inference(substitution,[status(thm)],[c49]) ).
cnf(c101,plain,
mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)) = mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
mult(rd(X2,rd(X3,X)),rd(X3,X)) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c103,plain,
mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X))) = mult(X,X2),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
mult(rd(X3,X),mult(X,mult(rd(X2,rd(X3,X)),rd(X3,X)))) = mult(rd(X3,X),mult(X,X2)),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
mult(mult(X3,rd(X2,rd(X3,X))),rd(X3,X)) = mult(rd(X3,X),mult(X,X2)),
inference(transitivity,[status(thm)],[c101,c104]) ).
cnf(c106,plain,
mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,X)),
inference(substitution,[status(thm)],[c105]) ).
cnf(c107,plain,
mult(rd(X3,X2),mult(X2,X)) = mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),
inference(symmetry,[status(thm)],[c106]) ).
cnf(c108,plain,
rd(mult(rd(X3,X2),mult(X2,X)),rd(X3,X2)) = rd(mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),rd(X3,X2)),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
rd(mult(mult(X3,rd(X,rd(X3,X2))),rd(X3,X2)),rd(X3,X2)) = mult(X3,rd(X,rd(X3,X2))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c110,plain,
rd(mult(rd(X3,X2),mult(X2,X)),rd(X3,X2)) = mult(X3,rd(X,rd(X3,X2))),
inference(transitivity,[status(thm)],[c108,c109]) ).
cnf(c111,plain,
rd(mult(rd(X3,X2),mult(X2,ld(X2,X))),rd(X3,X2)) = mult(X3,rd(ld(X2,X),rd(X3,X2))),
inference(substitution,[status(thm)],[c110]) ).
cnf(c112,plain,
rd(mult(rd(X3,X2),X),rd(X3,X2)) = mult(X3,rd(ld(X2,X),rd(X3,X2))),
inference(transitivity,[status(thm)],[c99,c111]) ).
cnf(c113,plain,
ld(X3,rd(mult(rd(X3,X2),X),rd(X3,X2))) = ld(X3,mult(X3,rd(ld(X2,X),rd(X3,X2)))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
ld(X3,mult(X3,rd(ld(X2,X),rd(X3,X2)))) = rd(ld(X2,X),rd(X3,X2)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c115,plain,
ld(X3,rd(mult(rd(X3,X2),X),rd(X3,X2))) = rd(ld(X2,X),rd(X3,X2)),
inference(transitivity,[status(thm)],[c113,c114]) ).
cnf(c116,plain,
ld(X2,rd(mult(rd(X2,X),X),rd(X2,X))) = rd(ld(X,X),rd(X2,X)),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
ld(X2,rd(X2,rd(X2,X))) = rd(ld(X,X),rd(X2,X)),
inference(transitivity,[status(thm)],[c95,c116]) ).
cnf(c118,plain,
ld(X,rd(X,rd(X,X))) = rd(ld(X,X),rd(X,X)),
inference(substitution,[status(thm)],[c117]) ).
cnf(c119,plain,
rd(ld(X,X),rd(X,X)) = ld(X,rd(X,rd(X,X))),
inference(symmetry,[status(thm)],[c118]) ).
cnf(c120,plain,
mult(rd(ld(X,X),rd(X,X)),X) = mult(ld(X,rd(X,rd(X,X))),X),
inference(congruence,[status(thm)],[c119]) ).
cnf(c121,plain,
mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(X,rd(X2,X2)),
inference(substitution,[status(thm)],[c39]) ).
cnf(c122,plain,
mult(X,rd(X2,X2)) = mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),
inference(symmetry,[status(thm)],[c121]) ).
cnf(c123,plain,
mult(mult(X,rd(X2,X2)),X2) = mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
ld(rd(X2,X2),mult(X,rd(X2,X2))) = mult(X2,mult(ld(X2,X),rd(X2,X2))),
inference(substitution,[status(thm)],[c55]) ).
cnf(c125,plain,
mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2) = mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2),
inference(congruence,[status(thm)],[c125]) ).
cnf(c127,plain,
mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(X2,X)),
inference(substitution,[status(thm)],[c105]) ).
cnf(c128,plain,
mult(rd(X2,X2),mult(X2,X)) = mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),
inference(symmetry,[status(thm)],[c127]) ).
cnf(c129,plain,
mult(mult(rd(X2,X2),mult(X2,X)),X2) = mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),mult(rd(X2,X2),X2))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c131,plain,
mult(rd(X,X),X) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c132,plain,
mult(rd(X,rd(X2,X2)),mult(rd(X2,X2),X2)) = mult(rd(X,rd(X2,X2)),X2),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
mult(X2,mult(rd(X,rd(X2,X2)),mult(rd(X2,X2),X2))) = mult(X2,mult(rd(X,rd(X2,X2)),X2)),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
mult(mult(mult(X2,rd(X,rd(X2,X2))),rd(X2,X2)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),X2)),
inference(transitivity,[status(thm)],[c130,c133]) ).
cnf(c135,plain,
mult(mult(rd(X2,X2),mult(X2,X)),X2) = mult(X2,mult(rd(X,rd(X2,X2)),X2)),
inference(transitivity,[status(thm)],[c129,c134]) ).
cnf(c136,plain,
mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2) = mult(X2,mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2)),
inference(substitution,[status(thm)],[c135]) ).
cnf(c137,plain,
rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)) = ld(X2,X),
inference(substitution,[status(thm)],[c15]) ).
cnf(c138,plain,
mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2) = mult(ld(X2,X),X2),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
mult(X2,mult(rd(mult(ld(X2,X),rd(X2,X2)),rd(X2,X2)),X2)) = mult(X2,mult(ld(X2,X),X2)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
mult(mult(rd(X2,X2),mult(X2,mult(ld(X2,X),rd(X2,X2)))),X2) = mult(X2,mult(ld(X2,X),X2)),
inference(transitivity,[status(thm)],[c136,c139]) ).
cnf(c141,plain,
mult(mult(rd(X2,X2),ld(rd(X2,X2),mult(X,rd(X2,X2)))),X2) = mult(X2,mult(ld(X2,X),X2)),
inference(transitivity,[status(thm)],[c126,c140]) ).
cnf(c142,plain,
mult(mult(X,rd(X2,X2)),X2) = mult(X2,mult(ld(X2,X),X2)),
inference(transitivity,[status(thm)],[c123,c141]) ).
cnf(c143,plain,
ld(X2,mult(mult(X,rd(X2,X2)),X2)) = ld(X2,mult(X2,mult(ld(X2,X),X2))),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
ld(X2,mult(X2,mult(ld(X2,X),X2))) = mult(ld(X2,X),X2),
inference(substitution,[status(thm)],[c6]) ).
cnf(c145,plain,
ld(X2,mult(mult(X,rd(X2,X2)),X2)) = mult(ld(X2,X),X2),
inference(transitivity,[status(thm)],[c143,c144]) ).
cnf(c146,plain,
ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)) = mult(ld(X2,rd(X,rd(X2,X2))),X2),
inference(substitution,[status(thm)],[c145]) ).
cnf(c147,plain,
mult(ld(X2,rd(X,rd(X2,X2))),X2) = ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)),
inference(symmetry,[status(thm)],[c146]) ).
cnf(c148,plain,
mult(rd(X,rd(X2,X2)),rd(X2,X2)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c149,plain,
mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2) = mult(X,X2),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
ld(X2,mult(mult(rd(X,rd(X2,X2)),rd(X2,X2)),X2)) = ld(X2,mult(X,X2)),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
mult(ld(X2,rd(X,rd(X2,X2))),X2) = ld(X2,mult(X,X2)),
inference(transitivity,[status(thm)],[c147,c150]) ).
cnf(c152,plain,
mult(ld(X,rd(X,rd(X,X))),X) = ld(X,mult(X,X)),
inference(substitution,[status(thm)],[c151]) ).
cnf(c153,plain,
ld(X,mult(X,X)) = X,
inference(substitution,[status(thm)],[c6]) ).
cnf(c154,plain,
mult(ld(X,rd(X,rd(X,X))),X) = X,
inference(transitivity,[status(thm)],[c152,c153]) ).
cnf(c155,plain,
mult(rd(ld(X,X),rd(X,X)),X) = X,
inference(transitivity,[status(thm)],[c120,c154]) ).
cnf(c156,plain,
rd(mult(rd(ld(X,X),rd(X,X)),X),X) = rd(X,X),
inference(congruence,[status(thm)],[c155]) ).
cnf(c157,plain,
rd(ld(X,X),rd(X,X)) = rd(X,X),
inference(transitivity,[status(thm)],[c91,c156]) ).
cnf(c158,plain,
rd(rd(X,X),rd(X,X)) = rd(X,X),
inference(transitivity,[status(thm)],[c89,c157]) ).
cnf(c159,plain,
rd(X,X) = rd(rd(X,X),rd(X,X)),
inference(symmetry,[status(thm)],[c158]) ).
cnf(c160,plain,
mult(X2,rd(X,X)) = mult(X2,rd(rd(X,X),rd(X,X))),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
mult(rd(X,X),ld(rd(X,X),X2)) = X2,
inference(substitution,[status(thm)],[c39]) ).
cnf(c162,plain,
X2 = mult(rd(X,X),ld(rd(X,X),X2)),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
rd(X2,rd(X,X)) = rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(substitution,[status(thm)],[c23]) ).
cnf(c165,plain,
rd(mult(rd(X2,X2),X),rd(X2,X2)) = mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
rd(X,X) = rd(ld(X,X),rd(X,X)),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c167,plain,
mult(rd(X,X),rd(X,X)) = mult(rd(ld(X,X),rd(X,X)),rd(X,X)),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
mult(rd(ld(X,X),rd(X,X)),rd(X,X)) = ld(X,X),
inference(substitution,[status(thm)],[c2]) ).
cnf(c169,plain,
mult(rd(X,X),rd(X,X)) = ld(X,X),
inference(transitivity,[status(thm)],[c167,c168]) ).
cnf(c170,plain,
mult(rd(X,X),rd(X,X)) = rd(X,X),
inference(transitivity,[status(thm)],[c169,c87]) ).
cnf(c171,plain,
rd(X,mult(rd(X2,X2),rd(X2,X2))) = rd(X,rd(X2,X2)),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))) = mult(rd(X2,X2),rd(X,rd(X2,X2))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,plain,
mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(X3,mult(ld(X3,X2),mult(X,X3))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c175,plain,
mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(mult(X3,ld(X3,X2)),X),X3),
inference(symmetry,[status(thm)],[c174]) ).
cnf(c176,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c39]) ).
cnf(c177,plain,
mult(mult(X3,ld(X3,X2)),X) = mult(X2,X),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(mult(X2,X),X3),
inference(congruence,[status(thm)],[c177]) ).
cnf(c179,plain,
mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(X2,X),X3),
inference(transitivity,[status(thm)],[c175,c178]) ).
cnf(c180,plain,
mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(mult(X3,rd(X2,X)),X),
inference(substitution,[status(thm)],[c179]) ).
cnf(c181,plain,
mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),mult(rd(X2,X),X))),
inference(symmetry,[status(thm)],[c180]) ).
cnf(c182,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c183,plain,
mult(ld(X,X3),mult(rd(X2,X),X)) = mult(ld(X,X3),X2),
inference(congruence,[status(thm)],[c182]) ).
cnf(c184,plain,
mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(X,mult(ld(X,X3),X2)),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),X2)),
inference(transitivity,[status(thm)],[c181,c184]) ).
cnf(c186,plain,
mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),X)),
inference(substitution,[status(thm)],[c185]) ).
cnf(c187,plain,
mult(mult(X2,X),X3) = mult(X3,mult(ld(X3,X2),mult(X,X3))),
inference(symmetry,[status(thm)],[c179]) ).
cnf(c188,plain,
ld(X3,mult(mult(X2,X),X3)) = ld(X3,mult(X3,mult(ld(X3,X2),mult(X,X3)))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
ld(X3,mult(X3,mult(ld(X3,X2),mult(X,X3)))) = mult(ld(X3,X2),mult(X,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c190,plain,
ld(X3,mult(mult(X2,X),X3)) = mult(ld(X3,X2),mult(X,X3)),
inference(transitivity,[status(thm)],[c188,c189]) ).
cnf(c191,plain,
ld(X3,mult(mult(rd(X2,X),X),X3)) = mult(ld(X3,rd(X2,X)),mult(X,X3)),
inference(substitution,[status(thm)],[c190]) ).
cnf(c192,plain,
mult(ld(X3,rd(X2,X)),mult(X,X3)) = ld(X3,mult(mult(rd(X2,X),X),X3)),
inference(symmetry,[status(thm)],[c191]) ).
cnf(c193,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c194,plain,
mult(mult(rd(X2,X),X),X3) = mult(X2,X3),
inference(congruence,[status(thm)],[c193]) ).
cnf(c195,plain,
ld(X3,mult(mult(rd(X2,X),X),X3)) = ld(X3,mult(X2,X3)),
inference(congruence,[status(thm)],[c194]) ).
cnf(c196,plain,
mult(ld(X3,rd(X2,X)),mult(X,X3)) = ld(X3,mult(X2,X3)),
inference(transitivity,[status(thm)],[c192,c195]) ).
cnf(c197,plain,
ld(X3,mult(X2,X3)) = mult(ld(X3,rd(X2,X)),mult(X,X3)),
inference(symmetry,[status(thm)],[c196]) ).
cnf(c198,plain,
rd(ld(X3,mult(X2,X3)),mult(X,X3)) = rd(mult(ld(X3,rd(X2,X)),mult(X,X3)),mult(X,X3)),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
rd(mult(ld(X3,rd(X2,X)),mult(X,X3)),mult(X,X3)) = ld(X3,rd(X2,X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c200,plain,
rd(ld(X3,mult(X2,X3)),mult(X,X3)) = ld(X3,rd(X2,X)),
inference(transitivity,[status(thm)],[c198,c199]) ).
cnf(c201,plain,
rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = ld(rd(X,X),rd(X,X)),
inference(substitution,[status(thm)],[c200]) ).
cnf(c202,plain,
ld(rd(X,X),rd(X,X)) = rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
ld(rd(X,X),mult(X,rd(X,X))) = ld(rd(X,X),X),
inference(congruence,[status(thm)],[c83]) ).
cnf(c204,plain,
rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = rd(ld(rd(X,X),X),mult(X,rd(X,X))),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
ld(rd(X,X),X) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c206,plain,
rd(ld(rd(X,X),X),mult(X,rd(X,X))) = rd(X,mult(X,rd(X,X))),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
rd(X,mult(X,rd(X,X))) = rd(X,X),
inference(congruence,[status(thm)],[c83]) ).
cnf(c208,plain,
rd(ld(rd(X,X),X),mult(X,rd(X,X))) = rd(X,X),
inference(transitivity,[status(thm)],[c206,c207]) ).
cnf(c209,plain,
rd(ld(rd(X,X),mult(X,rd(X,X))),mult(X,rd(X,X))) = rd(X,X),
inference(transitivity,[status(thm)],[c204,c208]) ).
cnf(c210,plain,
ld(rd(X,X),rd(X,X)) = rd(X,X),
inference(transitivity,[status(thm)],[c202,c209]) ).
cnf(c211,plain,
mult(ld(rd(X2,X2),rd(X2,X2)),X) = mult(rd(X2,X2),X),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),X)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
mult(mult(rd(X2,X2),rd(X,rd(X2,X2))),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
inference(transitivity,[status(thm)],[c186,c212]) ).
cnf(c214,plain,
mult(mult(rd(X2,X2),rd(X,mult(rd(X2,X2),rd(X2,X2)))),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
inference(transitivity,[status(thm)],[c173,c213]) ).
cnf(c215,plain,
rd(mult(rd(X2,X2),X),rd(X2,X2)) = mult(rd(X2,X2),mult(rd(X2,X2),X)),
inference(transitivity,[status(thm)],[c165,c214]) ).
cnf(c216,plain,
rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)) = mult(rd(X,X),mult(rd(X,X),ld(rd(X,X),X2))),
inference(substitution,[status(thm)],[c215]) ).
cnf(c217,plain,
mult(rd(X,X),ld(rd(X,X),X2)) = X2,
inference(substitution,[status(thm)],[c39]) ).
cnf(c218,plain,
mult(rd(X,X),mult(rd(X,X),ld(rd(X,X),X2))) = mult(rd(X,X),X2),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
rd(mult(rd(X,X),ld(rd(X,X),X2)),rd(X,X)) = mult(rd(X,X),X2),
inference(transitivity,[status(thm)],[c216,c218]) ).
cnf(c220,plain,
rd(X2,rd(X,X)) = mult(rd(X,X),X2),
inference(transitivity,[status(thm)],[c163,c219]) ).
cnf(c221,plain,
rd(mult(X,rd(X2,X2)),rd(X2,X2)) = mult(rd(X2,X2),mult(X,rd(X2,X2))),
inference(substitution,[status(thm)],[c220]) ).
cnf(c222,plain,
mult(rd(X2,X2),mult(X,rd(X2,X2))) = rd(mult(X,rd(X2,X2)),rd(X2,X2)),
inference(symmetry,[status(thm)],[c221]) ).
cnf(c223,plain,
rd(mult(X,rd(X2,X2)),rd(X2,X2)) = X,
inference(substitution,[status(thm)],[c15]) ).
cnf(c224,plain,
mult(rd(X2,X2),mult(X,rd(X2,X2))) = X,
inference(transitivity,[status(thm)],[c222,c223]) ).
cnf(c225,plain,
X = mult(rd(X2,X2),mult(X,rd(X2,X2))),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
mult(rd(X2,X2),X) = mult(rd(X2,X2),mult(rd(X2,X2),mult(X,rd(X2,X2)))),
inference(congruence,[status(thm)],[c225]) ).
cnf(c227,plain,
rd(X,X) = ld(rd(X,X),rd(X,X)),
inference(symmetry,[status(thm)],[c210]) ).
cnf(c228,plain,
mult(rd(X2,X2),mult(X,rd(X2,X2))) = mult(ld(rd(X2,X2),rd(X2,X2)),mult(X,rd(X2,X2))),
inference(congruence,[status(thm)],[c227]) ).
cnf(c229,plain,
mult(rd(X2,X2),mult(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),mult(X,rd(X2,X2)))),
inference(congruence,[status(thm)],[c228]) ).
cnf(c230,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,X2)),mult(X,rd(X2,X2)))) = mult(mult(rd(X2,X2),X),rd(X2,X2)),
inference(substitution,[status(thm)],[c179]) ).
cnf(c231,plain,
mult(rd(X2,X2),mult(rd(X2,X2),mult(X,rd(X2,X2)))) = mult(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c229,c230]) ).
cnf(c232,plain,
rd(X,rd(X2,X2)) = mult(rd(X2,X2),X),
inference(substitution,[status(thm)],[c220]) ).
cnf(c233,plain,
mult(rd(X2,X2),X) = rd(X,rd(X2,X2)),
inference(symmetry,[status(thm)],[c232]) ).
cnf(c234,plain,
mult(mult(rd(X2,X2),X),rd(X2,X2)) = mult(rd(X,rd(X2,X2)),rd(X2,X2)),
inference(congruence,[status(thm)],[c233]) ).
cnf(c235,plain,
mult(rd(X,rd(X2,X2)),rd(X2,X2)) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c236,plain,
mult(mult(rd(X2,X2),X),rd(X2,X2)) = X,
inference(transitivity,[status(thm)],[c234,c235]) ).
cnf(c237,plain,
mult(rd(X2,X2),mult(rd(X2,X2),mult(X,rd(X2,X2)))) = X,
inference(transitivity,[status(thm)],[c231,c236]) ).
cnf(c238,plain,
mult(rd(X2,X2),X) = X,
inference(transitivity,[status(thm)],[c226,c237]) ).
cnf(c239,plain,
mult(rd(X,X),X2) = X2,
inference(substitution,[status(thm)],[c238]) ).
cnf(c240,plain,
X2 = mult(rd(X,X),X2),
inference(symmetry,[status(thm)],[c239]) ).
cnf(c241,plain,
mult(X2,rd(rd(X,X),rd(X,X))) = mult(mult(rd(X,X),X2),rd(rd(X,X),rd(X,X))),
inference(congruence,[status(thm)],[c240]) ).
cnf(c242,plain,
rd(mult(rd(X,X),mult(X2,rd(X,X))),rd(X,X)) = mult(mult(rd(X,X),X2),rd(rd(X,X),rd(X,X))),
inference(substitution,[status(thm)],[c64]) ).
cnf(c243,plain,
mult(mult(rd(X,X),X2),rd(rd(X,X),rd(X,X))) = rd(mult(rd(X,X),mult(X2,rd(X,X))),rd(X,X)),
inference(symmetry,[status(thm)],[c242]) ).
cnf(c244,plain,
rd(mult(rd(X,X),mult(X2,rd(X,X))),rd(X,X)) = mult(rd(X,X),mult(rd(X,X),mult(X2,rd(X,X)))),
inference(substitution,[status(thm)],[c215]) ).
cnf(c245,plain,
mult(rd(X,X),mult(X2,rd(X,X))) = X2,
inference(substitution,[status(thm)],[c224]) ).
cnf(c246,plain,
mult(rd(X,X),mult(rd(X,X),mult(X2,rd(X,X)))) = mult(rd(X,X),X2),
inference(congruence,[status(thm)],[c245]) ).
cnf(c247,plain,
mult(rd(X,X),X2) = X2,
inference(substitution,[status(thm)],[c238]) ).
cnf(c248,plain,
mult(rd(X,X),mult(rd(X,X),mult(X2,rd(X,X)))) = X2,
inference(transitivity,[status(thm)],[c246,c247]) ).
cnf(c249,plain,
rd(mult(rd(X,X),mult(X2,rd(X,X))),rd(X,X)) = X2,
inference(transitivity,[status(thm)],[c244,c248]) ).
cnf(c250,plain,
mult(mult(rd(X,X),X2),rd(rd(X,X),rd(X,X))) = X2,
inference(transitivity,[status(thm)],[c243,c249]) ).
cnf(c251,plain,
mult(X2,rd(rd(X,X),rd(X,X))) = X2,
inference(transitivity,[status(thm)],[c241,c250]) ).
cnf(c252,plain,
mult(X2,rd(X,X)) = X2,
inference(transitivity,[status(thm)],[c160,c251]) ).
cnf(c253,plain,
mult(x0,rd(x1,x1)) = x0,
inference(substitution,[status(thm)],[c252]) ).
cnf(c254,plain,
$false,
inference(resolution,[status(thm)],[c1,c253]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP660-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 10:34:53 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.64/0.50 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.64/0.50
% 0.64/0.50 % SZS status Unsatisfiable
% 0.64/0.50
% 0.64/0.52 % SZS output start CNFRefutation
% See solution above
% 1.57/0.65
% 1.57/0.65 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------