%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP660-13 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 10:11:37 AM UTC 2026
% Result : Unsatisfiable 0.59s 0.50s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 6
% Syntax : Number of clauses : 284 ( 284 unt; 0 nHn; 8 RR)
% Number of literals : 284 ( 283 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 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 : 570 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
mult(x0,ld(x1,x1)) != x0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal) ).
cnf(c2,axiom,
mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/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/sandbox/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),rd(X,rd(X,X))),rd(X,X)) = rd(X,rd(X,X)),
inference(substitution,[status(thm)],[c8]) ).
cnf(c10,plain,
rd(X,rd(X,X)) = ld(rd(rd(X,X),rd(X,rd(X,X))),rd(X,X)),
inference(symmetry,[status(thm)],[c9]) ).
cnf(c11,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(c12,plain,
rd(mult(mult(X2,rd(X,mult(X3,X2))),X3),X3) = mult(X2,rd(X,mult(X3,X2))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c13,plain,
mult(X3,rd(X2,mult(X,X3))) = rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c14,axiom,
mult(mult(mult(A2,B2),C),A2) = mult(A2,mult(B2,mult(C,A2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(c15,plain,
mult(mult(mult(X3,X2),X),X3) = mult(X3,mult(X2,mult(X,X3))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,plain,
mult(X3,mult(X2,mult(X,X3))) = mult(mult(mult(X3,X2),X),X3),
inference(symmetry,[status(thm)],[c15]) ).
cnf(c17,plain,
rd(mult(X3,mult(X2,mult(X,X3))),X3) = rd(mult(mult(mult(X3,X2),X),X3),X3),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,plain,
rd(mult(mult(mult(X3,X2),X),X3),X3) = mult(mult(X3,X2),X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c19,plain,
rd(mult(X3,mult(X2,mult(X,X3))),X3) = mult(mult(X3,X2),X),
inference(transitivity,[status(thm)],[c17,c18]) ).
cnf(c20,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)],[c19]) ).
cnf(c21,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)],[c20]) ).
cnf(c22,plain,
mult(rd(X2,mult(X,X3)),mult(X,X3)) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c23,plain,
mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))) = mult(X3,X2),
inference(congruence,[status(thm)],[c22]) ).
cnf(c24,plain,
rd(mult(X3,mult(rd(X2,mult(X,X3)),mult(X,X3))),X3) = rd(mult(X3,X2),X3),
inference(congruence,[status(thm)],[c23]) ).
cnf(c25,plain,
mult(mult(X3,rd(X2,mult(X,X3))),X) = rd(mult(X3,X2),X3),
inference(transitivity,[status(thm)],[c21,c24]) ).
cnf(c26,plain,
rd(mult(mult(X3,rd(X2,mult(X,X3))),X),X) = rd(rd(mult(X3,X2),X3),X),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(X3,rd(X2,mult(X,X3))) = rd(rd(mult(X3,X2),X3),X),
inference(transitivity,[status(thm)],[c13,c26]) ).
cnf(c28,plain,
mult(X3,rd(X2,mult(rd(X,X3),X3))) = rd(rd(mult(X3,X2),X3),rd(X,X3)),
inference(substitution,[status(thm)],[c27]) ).
cnf(c29,plain,
rd(rd(mult(X3,X2),X3),rd(X,X3)) = mult(X3,rd(X2,mult(rd(X,X3),X3))),
inference(symmetry,[status(thm)],[c28]) ).
cnf(c30,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c31,plain,
rd(X2,mult(rd(X,X3),X3)) = rd(X2,X),
inference(congruence,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(X3,rd(X2,mult(rd(X,X3),X3))) = mult(X3,rd(X2,X)),
inference(congruence,[status(thm)],[c31]) ).
cnf(c33,plain,
rd(rd(mult(X3,X2),X3),rd(X,X3)) = mult(X3,rd(X2,X)),
inference(transitivity,[status(thm)],[c29,c32]) ).
cnf(c34,plain,
rd(rd(mult(X2,X2),X2),rd(X,X2)) = mult(X2,rd(X2,X)),
inference(substitution,[status(thm)],[c33]) ).
cnf(c35,plain,
mult(X2,rd(X2,X)) = rd(rd(mult(X2,X2),X2),rd(X,X2)),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
rd(mult(X,X),X) = X,
inference(substitution,[status(thm)],[c11]) ).
cnf(c37,plain,
rd(rd(mult(X2,X2),X2),rd(X,X2)) = rd(X2,rd(X,X2)),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
mult(X2,rd(X2,X)) = rd(X2,rd(X,X2)),
inference(transitivity,[status(thm)],[c35,c37]) ).
cnf(c39,plain,
mult(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),rd(X,rd(X,X))),
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,plain,
rd(rd(X,X),rd(X,rd(X,X))) = mult(rd(X,X),rd(rd(X,X),X)),
inference(symmetry,[status(thm)],[c39]) ).
cnf(c41,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)],[c14]) ).
cnf(c42,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)],[c41]) ).
cnf(c43,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c44,plain,
mult(mult(rd(X3,X2),X2),X) = mult(X3,X),
inference(congruence,[status(thm)],[c43]) ).
cnf(c45,plain,
mult(mult(mult(rd(X3,X2),X2),X),rd(X3,X2)) = mult(mult(X3,X),rd(X3,X2)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))) = mult(mult(X3,X),rd(X3,X2)),
inference(transitivity,[status(thm)],[c42,c45]) ).
cnf(c47,plain,
mult(mult(X3,X),rd(X3,X2)) = mult(rd(X3,X2),mult(X2,mult(X,rd(X3,X2)))),
inference(symmetry,[status(thm)],[c46]) ).
cnf(c48,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)],[c47]) ).
cnf(c49,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(c50,plain,
ld(rd(X3,X2),mult(mult(X3,X),rd(X3,X2))) = mult(X2,mult(X,rd(X3,X2))),
inference(transitivity,[status(thm)],[c48,c49]) ).
cnf(c51,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)],[c50]) ).
cnf(c52,plain,
mult(X3,mult(ld(X2,X),rd(X2,X3))) = ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))),
inference(symmetry,[status(thm)],[c51]) ).
cnf(c53,axiom,
mult(A2,ld(A2,B2)) = B2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(c54,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c55,plain,
mult(mult(X2,ld(X2,X)),rd(X2,X3)) = mult(X,rd(X2,X3)),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
ld(rd(X2,X3),mult(mult(X2,ld(X2,X)),rd(X2,X3))) = ld(rd(X2,X3),mult(X,rd(X2,X3))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
mult(X3,mult(ld(X2,X),rd(X2,X3))) = ld(rd(X2,X3),mult(X,rd(X2,X3))),
inference(transitivity,[status(thm)],[c52,c56]) ).
cnf(c58,plain,
mult(X2,mult(ld(X2,X),rd(X2,X2))) = ld(rd(X2,X2),mult(X,rd(X2,X2))),
inference(substitution,[status(thm)],[c57]) ).
cnf(c59,plain,
ld(rd(X2,X2),mult(X,rd(X2,X2))) = mult(X2,mult(ld(X2,X),rd(X2,X2))),
inference(symmetry,[status(thm)],[c58]) ).
cnf(c60,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)],[c59]) ).
cnf(c61,plain,
rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3) = mult(mult(X3,X2),rd(X,X3)),
inference(substitution,[status(thm)],[c19]) ).
cnf(c62,plain,
mult(mult(X3,X2),rd(X,X3)) = rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3),
inference(symmetry,[status(thm)],[c61]) ).
cnf(c63,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c64,plain,
mult(X2,mult(rd(X,X3),X3)) = mult(X2,X),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
mult(X3,mult(X2,mult(rd(X,X3),X3))) = mult(X3,mult(X2,X)),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
rd(mult(X3,mult(X2,mult(rd(X,X3),X3))),X3) = rd(mult(X3,mult(X2,X)),X3),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(mult(X3,X2),rd(X,X3)) = rd(mult(X3,mult(X2,X)),X3),
inference(transitivity,[status(thm)],[c62,c66]) ).
cnf(c68,plain,
mult(mult(X3,ld(X3,X2)),rd(X,X3)) = rd(mult(X3,mult(ld(X3,X2),X)),X3),
inference(substitution,[status(thm)],[c67]) ).
cnf(c69,plain,
rd(mult(X3,mult(ld(X3,X2),X)),X3) = mult(mult(X3,ld(X3,X2)),rd(X,X3)),
inference(symmetry,[status(thm)],[c68]) ).
cnf(c70,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c71,plain,
mult(mult(X3,ld(X3,X2)),rd(X,X3)) = mult(X2,rd(X,X3)),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
rd(mult(X3,mult(ld(X3,X2),X)),X3) = mult(X2,rd(X,X3)),
inference(transitivity,[status(thm)],[c69,c71]) ).
cnf(c73,plain,
rd(mult(X2,mult(ld(X2,X),rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
inference(substitution,[status(thm)],[c72]) ).
cnf(c74,plain,
rd(ld(rd(X2,X2),mult(X,rd(X2,X2))),X2) = mult(X,rd(rd(X2,X2),X2)),
inference(transitivity,[status(thm)],[c60,c73]) ).
cnf(c75,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)],[c74]) ).
cnf(c76,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)],[c75]) ).
cnf(c77,plain,
ld(rd(X,X),mult(rd(X,X),rd(X,X))) = rd(X,X),
inference(substitution,[status(thm)],[c6]) ).
cnf(c78,plain,
rd(ld(rd(X,X),mult(rd(X,X),rd(X,X))),X) = rd(rd(X,X),X),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
mult(rd(X,X),rd(rd(X,X),X)) = rd(rd(X,X),X),
inference(transitivity,[status(thm)],[c76,c78]) ).
cnf(c80,plain,
rd(rd(X,X),rd(X,rd(X,X))) = rd(rd(X,X),X),
inference(transitivity,[status(thm)],[c40,c79]) ).
cnf(c81,plain,
ld(rd(rd(X,X),rd(X,rd(X,X))),rd(X,X)) = ld(rd(rd(X,X),X),rd(X,X)),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
ld(rd(rd(X,X),X),rd(X,X)) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c83,plain,
ld(rd(rd(X,X),rd(X,rd(X,X))),rd(X,X)) = X,
inference(transitivity,[status(thm)],[c81,c82]) ).
cnf(c84,plain,
rd(X,rd(X,X)) = X,
inference(transitivity,[status(thm)],[c10,c83]) ).
cnf(c85,plain,
X = rd(X,rd(X,X)),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c86,plain,
ld(X,X) = ld(rd(X,rd(X,X)),X),
inference(congruence,[status(thm)],[c85]) ).
cnf(c87,plain,
ld(rd(X,rd(X,X)),X) = rd(X,X),
inference(substitution,[status(thm)],[c8]) ).
cnf(c88,plain,
ld(X,X) = rd(X,X),
inference(transitivity,[status(thm)],[c86,c87]) ).
cnf(c89,plain,
ld(x1,x1) = rd(x1,x1),
inference(substitution,[status(thm)],[c88]) ).
cnf(c90,plain,
mult(x0,ld(x1,x1)) = mult(x0,rd(x1,x1)),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,X)),rd(X,X)) = mult(X2,rd(X,X)),
inference(substitution,[status(thm)],[c11]) ).
cnf(c92,plain,
mult(X2,rd(X,X)) = rd(mult(mult(X2,rd(X,X)),rd(X,X)),rd(X,X)),
inference(symmetry,[status(thm)],[c91]) ).
cnf(c93,plain,
X = rd(X,rd(X,X)),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c94,plain,
rd(X,X) = rd(X,rd(X,rd(X,X))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
mult(mult(X2,rd(X,X)),rd(X,X)) = mult(mult(X2,rd(X,X)),rd(X,rd(X,rd(X,X)))),
inference(congruence,[status(thm)],[c94]) ).
cnf(c96,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,X)),rd(X,X)) = rd(mult(mult(X2,rd(X,X)),rd(X,rd(X,rd(X,X)))),rd(X,X)),
inference(congruence,[status(thm)],[c95]) ).
cnf(c97,plain,
mult(X,rd(X,X)) = rd(X,rd(X,X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c98,plain,
rd(X,rd(X,X)) = mult(X,rd(X,X)),
inference(symmetry,[status(thm)],[c97]) ).
cnf(c99,plain,
rd(X,rd(X,rd(X,X))) = rd(X,mult(X,rd(X,X))),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
mult(mult(X2,rd(X,X)),rd(X,rd(X,rd(X,X)))) = mult(mult(X2,rd(X,X)),rd(X,mult(X,rd(X,X)))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,rd(X,rd(X,X)))),rd(X,X)) = rd(mult(mult(X2,rd(X,X)),rd(X,mult(X,rd(X,X)))),rd(X,X)),
inference(congruence,[status(thm)],[c100]) ).
cnf(c102,plain,
X = rd(X,rd(X,X)),
inference(symmetry,[status(thm)],[c84]) ).
cnf(c103,plain,
rd(X2,X) = rd(rd(X2,rd(X2,X2)),X),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
ld(rd(X2,X2),rd(X2,X)) = ld(rd(X2,X2),rd(rd(X2,rd(X2,X2)),X)),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c106,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c107,plain,
rd(X,X2) = rd(mult(X2,ld(X2,X)),X2),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
rd(rd(X2,X3),X) = rd(rd(mult(X3,ld(X3,X2)),X3),X),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
ld(X3,rd(rd(X2,X3),X)) = ld(X3,rd(rd(mult(X3,ld(X3,X2)),X3),X)),
inference(congruence,[status(thm)],[c108]) ).
cnf(c110,plain,
rd(rd(mult(X3,X2),X3),X) = mult(X3,rd(X2,mult(X,X3))),
inference(symmetry,[status(thm)],[c27]) ).
cnf(c111,plain,
ld(X3,rd(rd(mult(X3,X2),X3),X)) = ld(X3,mult(X3,rd(X2,mult(X,X3)))),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
ld(X3,mult(X3,rd(X2,mult(X,X3)))) = rd(X2,mult(X,X3)),
inference(substitution,[status(thm)],[c6]) ).
cnf(c113,plain,
ld(X3,rd(rd(mult(X3,X2),X3),X)) = rd(X2,mult(X,X3)),
inference(transitivity,[status(thm)],[c111,c112]) ).
cnf(c114,plain,
ld(X3,rd(rd(mult(X3,ld(X3,X2)),X3),X)) = rd(ld(X3,X2),mult(X,X3)),
inference(substitution,[status(thm)],[c113]) ).
cnf(c115,plain,
ld(X3,rd(rd(X2,X3),X)) = rd(ld(X3,X2),mult(X,X3)),
inference(transitivity,[status(thm)],[c109,c114]) ).
cnf(c116,plain,
ld(rd(X2,X2),rd(rd(X2,rd(X2,X2)),X)) = rd(ld(rd(X2,X2),X2),mult(X,rd(X2,X2))),
inference(substitution,[status(thm)],[c115]) ).
cnf(c117,plain,
ld(rd(X,X),X) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c118,plain,
rd(ld(rd(X2,X2),X2),mult(X,rd(X2,X2))) = rd(X2,mult(X,rd(X2,X2))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
ld(rd(X2,X2),rd(rd(X2,rd(X2,X2)),X)) = rd(X2,mult(X,rd(X2,X2))),
inference(transitivity,[status(thm)],[c116,c118]) ).
cnf(c120,plain,
ld(rd(X2,X2),rd(X2,X)) = rd(X2,mult(X,rd(X2,X2))),
inference(transitivity,[status(thm)],[c104,c119]) ).
cnf(c121,plain,
ld(rd(X,X),rd(X,X)) = rd(X,mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c122,plain,
rd(X,mult(X,rd(X,X))) = ld(rd(X,X),rd(X,X)),
inference(symmetry,[status(thm)],[c121]) ).
cnf(c123,plain,
mult(mult(X2,rd(X,X)),rd(X,mult(X,rd(X,X)))) = mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,mult(X,rd(X,X)))),rd(X,X)) = rd(mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X))),rd(X,X)),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
mult(rd(X2,X2),ld(rd(X2,X2),X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c126,plain,
X = mult(rd(X2,X2),ld(rd(X2,X2),X)),
inference(symmetry,[status(thm)],[c125]) ).
cnf(c127,plain,
mult(rd(X2,X2),X) = mult(rd(X2,X2),mult(rd(X2,X2),ld(rd(X2,X2),X))),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
rd(mult(X,X),X) = X,
inference(substitution,[status(thm)],[c11]) ).
cnf(c129,plain,
X = rd(mult(X,X),X),
inference(symmetry,[status(thm)],[c128]) ).
cnf(c130,plain,
rd(X,X) = rd(X,rd(mult(X,X),X)),
inference(congruence,[status(thm)],[c129]) ).
cnf(c131,plain,
mult(rd(X2,X2),X) = mult(rd(X2,rd(mult(X2,X2),X2)),X),
inference(congruence,[status(thm)],[c130]) ).
cnf(c132,plain,
mult(rd(X2,X2),mult(rd(X2,X2),X)) = mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,X2),X2)),X)),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
mult(rd(X,X),X) = X,
inference(substitution,[status(thm)],[c2]) ).
cnf(c134,plain,
X = mult(rd(X,X),X),
inference(symmetry,[status(thm)],[c133]) ).
cnf(c135,plain,
mult(X,X) = mult(X,mult(rd(X,X),X)),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
rd(mult(X,X),X) = rd(mult(X,mult(rd(X,X),X)),X),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
rd(X,rd(mult(X,X),X)) = rd(X,rd(mult(X,mult(rd(X,X),X)),X)),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
mult(rd(X2,rd(mult(X2,X2),X2)),X) = mult(rd(X2,rd(mult(X2,mult(rd(X2,X2),X2)),X2)),X),
inference(congruence,[status(thm)],[c137]) ).
cnf(c139,plain,
mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,X2),X2)),X)) = mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,mult(rd(X2,X2),X2)),X2)),X)),
inference(congruence,[status(thm)],[c138]) ).
cnf(c140,plain,
mult(mult(X,rd(X,X)),rd(X,X)) = rd(mult(X,mult(rd(X,X),X)),X),
inference(substitution,[status(thm)],[c67]) ).
cnf(c141,plain,
rd(mult(X,mult(rd(X,X),X)),X) = mult(mult(X,rd(X,X)),rd(X,X)),
inference(symmetry,[status(thm)],[c140]) ).
cnf(c142,plain,
rd(X,rd(mult(X,mult(rd(X,X),X)),X)) = rd(X,mult(mult(X,rd(X,X)),rd(X,X))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
mult(rd(X2,rd(mult(X2,mult(rd(X2,X2),X2)),X2)),X) = mult(rd(X2,mult(mult(X2,rd(X2,X2)),rd(X2,X2))),X),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,mult(rd(X2,X2),X2)),X2)),X)) = mult(rd(X2,X2),mult(rd(X2,mult(mult(X2,rd(X2,X2)),rd(X2,X2))),X)),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
ld(rd(X,X),rd(X,mult(X,rd(X,X)))) = rd(X,mult(mult(X,rd(X,X)),rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c146,plain,
rd(X,mult(mult(X,rd(X,X)),rd(X,X))) = ld(rd(X,X),rd(X,mult(X,rd(X,X)))),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
mult(rd(X2,mult(mult(X2,rd(X2,X2)),rd(X2,X2))),X) = mult(ld(rd(X2,X2),rd(X2,mult(X2,rd(X2,X2)))),X),
inference(congruence,[status(thm)],[c146]) ).
cnf(c148,plain,
mult(rd(X2,X2),mult(rd(X2,mult(mult(X2,rd(X2,X2)),rd(X2,X2))),X)) = mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,mult(X2,rd(X2,X2)))),X)),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
ld(rd(X,X),rd(X,X)) = rd(X,mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c150,plain,
rd(X,mult(X,rd(X,X))) = ld(rd(X,X),rd(X,X)),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
ld(rd(X,X),rd(X,mult(X,rd(X,X)))) = ld(rd(X,X),ld(rd(X,X),rd(X,X))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
mult(ld(rd(X2,X2),rd(X2,mult(X2,rd(X2,X2)))),X) = mult(ld(rd(X2,X2),ld(rd(X2,X2),rd(X2,X2))),X),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,mult(X2,rd(X2,X2)))),X)) = mult(rd(X2,X2),mult(ld(rd(X2,X2),ld(rd(X2,X2),rd(X2,X2))),X)),
inference(congruence,[status(thm)],[c152]) ).
cnf(c154,plain,
mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(X3,mult(ld(X3,X2),mult(X,X3))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c155,plain,
mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(mult(X3,ld(X3,X2)),X),X3),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c157,plain,
mult(mult(X3,ld(X3,X2)),X) = mult(X2,X),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
mult(mult(mult(X3,ld(X3,X2)),X),X3) = mult(mult(X2,X),X3),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
mult(X3,mult(ld(X3,X2),mult(X,X3))) = mult(mult(X2,X),X3),
inference(transitivity,[status(thm)],[c155,c158]) ).
cnf(c160,plain,
mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(mult(X3,rd(X2,X)),X),
inference(substitution,[status(thm)],[c159]) ).
cnf(c161,plain,
mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),mult(rd(X2,X),X))),
inference(symmetry,[status(thm)],[c160]) ).
cnf(c162,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c2]) ).
cnf(c163,plain,
mult(ld(X,X3),mult(rd(X2,X),X)) = mult(ld(X,X3),X2),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
mult(X,mult(ld(X,X3),mult(rd(X2,X),X))) = mult(X,mult(ld(X,X3),X2)),
inference(congruence,[status(thm)],[c163]) ).
cnf(c165,plain,
mult(mult(X3,rd(X2,X)),X) = mult(X,mult(ld(X,X3),X2)),
inference(transitivity,[status(thm)],[c161,c164]) ).
cnf(c166,plain,
mult(mult(ld(X2,X2),rd(X,X2)),X2) = mult(X2,mult(ld(X2,ld(X2,X2)),X)),
inference(substitution,[status(thm)],[c165]) ).
cnf(c167,plain,
mult(X2,mult(ld(X2,ld(X2,X2)),X)) = mult(mult(ld(X2,X2),rd(X,X2)),X2),
inference(symmetry,[status(thm)],[c166]) ).
cnf(c168,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c169,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c168]) ).
cnf(c170,plain,
rd(X,X2) = rd(X,mult(X3,ld(X3,X2))),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
mult(ld(X3,X2),rd(X,X2)) = mult(ld(X3,X2),rd(X,mult(X3,ld(X3,X2)))),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
mult(mult(ld(X3,X2),rd(X,X2)),X3) = mult(mult(ld(X3,X2),rd(X,mult(X3,ld(X3,X2)))),X3),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
mult(mult(ld(X3,X2),rd(X,mult(X3,ld(X3,X2)))),X3) = rd(mult(ld(X3,X2),X),ld(X3,X2)),
inference(substitution,[status(thm)],[c25]) ).
cnf(c174,plain,
mult(mult(ld(X3,X2),rd(X,X2)),X3) = rd(mult(ld(X3,X2),X),ld(X3,X2)),
inference(transitivity,[status(thm)],[c172,c173]) ).
cnf(c175,plain,
mult(mult(ld(X2,X2),rd(X,X2)),X2) = rd(mult(ld(X2,X2),X),ld(X2,X2)),
inference(substitution,[status(thm)],[c174]) ).
cnf(c176,plain,
mult(X2,mult(ld(X2,ld(X2,X2)),X)) = rd(mult(ld(X2,X2),X),ld(X2,X2)),
inference(transitivity,[status(thm)],[c167,c175]) ).
cnf(c177,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),ld(rd(X2,X2),rd(X2,X2))),X)) = rd(mult(ld(rd(X2,X2),rd(X2,X2)),X),ld(rd(X2,X2),rd(X2,X2))),
inference(substitution,[status(thm)],[c176]) ).
cnf(c178,plain,
ld(rd(X,X),rd(X,X)) = rd(X,mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c179,plain,
mult(ld(rd(X2,X2),rd(X2,X2)),X) = mult(rd(X2,mult(X2,rd(X2,X2))),X),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
rd(mult(ld(rd(X2,X2),rd(X2,X2)),X),ld(rd(X2,X2),rd(X2,X2))) = rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),ld(rd(X2,X2),rd(X2,X2))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
ld(rd(X,X),rd(X,X)) = rd(X,mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c182,plain,
rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),ld(rd(X2,X2),rd(X2,X2))) = rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
mult(X,rd(X,X)) = rd(X,rd(X,X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c184,plain,
rd(X,mult(X,rd(X,X))) = rd(X,rd(X,rd(X,X))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
mult(rd(X2,mult(X2,rd(X2,X2))),X) = mult(rd(X2,rd(X2,rd(X2,X2))),X),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))) = rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
mult(X,rd(X,X)) = rd(X,rd(X,X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c188,plain,
rd(X,mult(X,rd(X,X))) = rd(X,rd(X,rd(X,X))),
inference(congruence,[status(thm)],[c187]) ).
cnf(c189,plain,
rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))) = rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,rd(X2,rd(X2,X2)))),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
rd(X,rd(X,rd(X,X))) = rd(X,X),
inference(congruence,[status(thm)],[c84]) ).
cnf(c191,plain,
mult(rd(X2,rd(X2,rd(X2,X2))),X) = mult(rd(X2,X2),X),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,rd(X2,rd(X2,X2)))) = rd(mult(rd(X2,X2),X),rd(X2,rd(X2,rd(X2,X2)))),
inference(congruence,[status(thm)],[c191]) ).
cnf(c193,plain,
rd(X,rd(X,rd(X,X))) = rd(X,X),
inference(congruence,[status(thm)],[c84]) ).
cnf(c194,plain,
rd(mult(rd(X2,X2),X),rd(X2,rd(X2,rd(X2,X2)))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(congruence,[status(thm)],[c193]) ).
cnf(c195,plain,
rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,rd(X2,rd(X2,X2)))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c192,c194]) ).
cnf(c196,plain,
rd(mult(rd(X2,rd(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c189,c195]) ).
cnf(c197,plain,
rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),rd(X2,mult(X2,rd(X2,X2)))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c186,c196]) ).
cnf(c198,plain,
rd(mult(rd(X2,mult(X2,rd(X2,X2))),X),ld(rd(X2,X2),rd(X2,X2))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c182,c197]) ).
cnf(c199,plain,
rd(mult(ld(rd(X2,X2),rd(X2,X2)),X),ld(rd(X2,X2),rd(X2,X2))) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c180,c198]) ).
cnf(c200,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),ld(rd(X2,X2),rd(X2,X2))),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c177,c199]) ).
cnf(c201,plain,
mult(rd(X2,X2),mult(ld(rd(X2,X2),rd(X2,mult(X2,rd(X2,X2)))),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c153,c200]) ).
cnf(c202,plain,
mult(rd(X2,X2),mult(rd(X2,mult(mult(X2,rd(X2,X2)),rd(X2,X2))),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c148,c201]) ).
cnf(c203,plain,
mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,mult(rd(X2,X2),X2)),X2)),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c144,c202]) ).
cnf(c204,plain,
mult(rd(X2,X2),mult(rd(X2,rd(mult(X2,X2),X2)),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c139,c203]) ).
cnf(c205,plain,
mult(rd(X2,X2),mult(rd(X2,X2),X)) = rd(mult(rd(X2,X2),X),rd(X2,X2)),
inference(transitivity,[status(thm)],[c132,c204]) ).
cnf(c206,plain,
mult(rd(X2,X2),mult(rd(X2,X2),ld(rd(X2,X2),X))) = rd(mult(rd(X2,X2),ld(rd(X2,X2),X)),rd(X2,X2)),
inference(substitution,[status(thm)],[c205]) ).
cnf(c207,plain,
mult(rd(X2,X2),ld(rd(X2,X2),X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c208,plain,
rd(mult(rd(X2,X2),ld(rd(X2,X2),X)),rd(X2,X2)) = rd(X,rd(X2,X2)),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
mult(rd(X2,X2),mult(rd(X2,X2),ld(rd(X2,X2),X))) = rd(X,rd(X2,X2)),
inference(transitivity,[status(thm)],[c206,c208]) ).
cnf(c210,plain,
mult(rd(X2,X2),X) = rd(X,rd(X2,X2)),
inference(transitivity,[status(thm)],[c127,c209]) ).
cnf(c211,plain,
mult(rd(X,X),mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X)))) = rd(mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X))),rd(X,X)),
inference(substitution,[status(thm)],[c210]) ).
cnf(c212,plain,
rd(mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X))),rd(X,X)) = mult(rd(X,X),mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X)))),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
mult(X2,mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X2))) = mult(mult(X2,ld(ld(X2,X2),X)),X2),
inference(substitution,[status(thm)],[c159]) ).
cnf(c214,plain,
mult(mult(X2,ld(ld(X2,X2),X)),X2) = mult(X2,mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X2))),
inference(symmetry,[status(thm)],[c213]) ).
cnf(c215,plain,
mult(X2,ld(X2,X)) = X,
inference(substitution,[status(thm)],[c53]) ).
cnf(c216,plain,
X = mult(X2,ld(X2,X)),
inference(symmetry,[status(thm)],[c215]) ).
cnf(c217,plain,
mult(ld(ld(X3,X2),X),X2) = mult(ld(ld(X3,X2),X),mult(X3,ld(X3,X2))),
inference(congruence,[status(thm)],[c216]) ).
cnf(c218,plain,
mult(ld(X3,X2),mult(ld(ld(X3,X2),X),X2)) = mult(ld(X3,X2),mult(ld(ld(X3,X2),X),mult(X3,ld(X3,X2)))),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
mult(ld(X3,X2),mult(ld(ld(X3,X2),X),mult(X3,ld(X3,X2)))) = mult(mult(X,X3),ld(X3,X2)),
inference(substitution,[status(thm)],[c159]) ).
cnf(c220,plain,
mult(ld(X3,X2),mult(ld(ld(X3,X2),X),X2)) = mult(mult(X,X3),ld(X3,X2)),
inference(transitivity,[status(thm)],[c218,c219]) ).
cnf(c221,plain,
mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X2)) = mult(mult(X,X2),ld(X2,X2)),
inference(substitution,[status(thm)],[c220]) ).
cnf(c222,plain,
mult(X2,mult(ld(X2,X2),mult(ld(ld(X2,X2),X),X2))) = mult(X2,mult(mult(X,X2),ld(X2,X2))),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
mult(mult(X2,ld(ld(X2,X2),X)),X2) = mult(X2,mult(mult(X,X2),ld(X2,X2))),
inference(transitivity,[status(thm)],[c214,c222]) ).
cnf(c224,plain,
mult(mult(rd(X,X),ld(ld(rd(X,X),rd(X,X)),X2)),rd(X,X)) = mult(rd(X,X),mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X)))),
inference(substitution,[status(thm)],[c223]) ).
cnf(c225,plain,
mult(rd(X,X),mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X)))) = mult(mult(rd(X,X),ld(ld(rd(X,X),rd(X,X)),X2)),rd(X,X)),
inference(symmetry,[status(thm)],[c224]) ).
cnf(c226,plain,
mult(rd(X,X),ld(ld(rd(X,X),rd(X,X)),X2)) = rd(ld(ld(rd(X,X),rd(X,X)),X2),rd(X,X)),
inference(substitution,[status(thm)],[c210]) ).
cnf(c227,plain,
mult(mult(rd(X,X),ld(ld(rd(X,X),rd(X,X)),X2)),rd(X,X)) = mult(rd(ld(ld(rd(X,X),rd(X,X)),X2),rd(X,X)),rd(X,X)),
inference(congruence,[status(thm)],[c226]) ).
cnf(c228,plain,
mult(rd(ld(ld(rd(X,X),rd(X,X)),X2),rd(X,X)),rd(X,X)) = ld(ld(rd(X,X),rd(X,X)),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c229,plain,
ld(rd(X,X),rd(X,X)) = rd(X,mult(X,rd(X,X))),
inference(substitution,[status(thm)],[c120]) ).
cnf(c230,plain,
ld(ld(rd(X,X),rd(X,X)),X2) = ld(rd(X,mult(X,rd(X,X))),X2),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
mult(X,rd(X,X)) = rd(X,rd(X,X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c232,plain,
rd(X,mult(X,rd(X,X))) = rd(X,rd(X,rd(X,X))),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
ld(rd(X,mult(X,rd(X,X))),X2) = ld(rd(X,rd(X,rd(X,X))),X2),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
rd(X,rd(X,rd(X,X))) = rd(X,X),
inference(congruence,[status(thm)],[c84]) ).
cnf(c235,plain,
ld(rd(X,rd(X,rd(X,X))),X2) = ld(rd(X,X),X2),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
ld(rd(X,mult(X,rd(X,X))),X2) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c233,c235]) ).
cnf(c237,plain,
ld(ld(rd(X,X),rd(X,X)),X2) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c230,c236]) ).
cnf(c238,plain,
mult(rd(ld(ld(rd(X,X),rd(X,X)),X2),rd(X,X)),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c228,c237]) ).
cnf(c239,plain,
mult(mult(rd(X,X),ld(ld(rd(X,X),rd(X,X)),X2)),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c227,c238]) ).
cnf(c240,plain,
mult(rd(X,X),mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X)))) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c225,c239]) ).
cnf(c241,plain,
rd(mult(mult(X2,rd(X,X)),ld(rd(X,X),rd(X,X))),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c212,c240]) ).
cnf(c242,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,mult(X,rd(X,X)))),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c124,c241]) ).
cnf(c243,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,rd(X,rd(X,X)))),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c101,c242]) ).
cnf(c244,plain,
rd(mult(mult(X2,rd(X,X)),rd(X,X)),rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c96,c243]) ).
cnf(c245,plain,
mult(X2,rd(X,X)) = ld(rd(X,X),X2),
inference(transitivity,[status(thm)],[c92,c244]) ).
cnf(c246,plain,
mult(x0,rd(x1,x1)) = ld(rd(x1,x1),x0),
inference(substitution,[status(thm)],[c245]) ).
cnf(c247,plain,
ld(rd(X,X),mult(rd(X,X),X2)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c248,plain,
X2 = ld(rd(X,X),mult(rd(X,X),X2)),
inference(symmetry,[status(thm)],[c247]) ).
cnf(c249,plain,
rd(X2,X2) = rd(X2,ld(rd(X,X),mult(rd(X,X),X2))),
inference(congruence,[status(thm)],[c248]) ).
cnf(c250,plain,
mult(mult(rd(X,X),X2),rd(X,X)) = ld(rd(X,X),mult(rd(X,X),X2)),
inference(substitution,[status(thm)],[c245]) ).
cnf(c251,plain,
ld(rd(X,X),mult(rd(X,X),X2)) = mult(mult(rd(X,X),X2),rd(X,X)),
inference(symmetry,[status(thm)],[c250]) ).
cnf(c252,plain,
rd(X2,ld(rd(X,X),mult(rd(X,X),X2))) = rd(X2,mult(mult(rd(X,X),X2),rd(X,X))),
inference(congruence,[status(thm)],[c251]) ).
cnf(c253,plain,
ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))) = rd(X2,mult(mult(rd(X,X),X2),rd(X,X))),
inference(substitution,[status(thm)],[c113]) ).
cnf(c254,plain,
rd(X2,mult(mult(rd(X,X),X2),rd(X,X))) = ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))),
inference(symmetry,[status(thm)],[c253]) ).
cnf(c255,plain,
mult(rd(X,X),X2) = rd(X2,rd(X,X)),
inference(substitution,[status(thm)],[c210]) ).
cnf(c256,plain,
rd(X2,rd(X,X)) = mult(rd(X,X),X2),
inference(symmetry,[status(thm)],[c255]) ).
cnf(c257,plain,
rd(rd(X2,rd(X,X)),X2) = rd(mult(rd(X,X),X2),X2),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
rd(mult(rd(X,X),X2),X2) = rd(X,X),
inference(substitution,[status(thm)],[c11]) ).
cnf(c259,plain,
rd(rd(X2,rd(X,X)),X2) = rd(X,X),
inference(transitivity,[status(thm)],[c257,c258]) ).
cnf(c260,plain,
rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2)) = rd(X,X),
inference(substitution,[status(thm)],[c259]) ).
cnf(c261,plain,
ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))) = ld(rd(X,X),rd(X,X)),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2)) = rd(X,X),
inference(substitution,[status(thm)],[c259]) ).
cnf(c263,plain,
rd(X,X) = rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2)),
inference(symmetry,[status(thm)],[c262]) ).
cnf(c264,plain,
ld(rd(X,X),rd(X,X)) = ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))),
inference(congruence,[status(thm)],[c263]) ).
cnf(c265,plain,
ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))) = rd(X2,mult(mult(rd(X,X),X2),rd(X,X))),
inference(substitution,[status(thm)],[c113]) ).
cnf(c266,plain,
mult(mult(rd(X,X),X2),rd(X,X)) = ld(rd(X,X),mult(rd(X,X),X2)),
inference(substitution,[status(thm)],[c245]) ).
cnf(c267,plain,
rd(X2,mult(mult(rd(X,X),X2),rd(X,X))) = rd(X2,ld(rd(X,X),mult(rd(X,X),X2))),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
ld(rd(X,X),mult(rd(X,X),X2)) = X2,
inference(substitution,[status(thm)],[c6]) ).
cnf(c269,plain,
rd(X2,ld(rd(X,X),mult(rd(X,X),X2))) = rd(X2,X2),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
rd(X2,mult(mult(rd(X,X),X2),rd(X,X))) = rd(X2,X2),
inference(transitivity,[status(thm)],[c267,c269]) ).
cnf(c271,plain,
ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))) = rd(X2,X2),
inference(transitivity,[status(thm)],[c265,c270]) ).
cnf(c272,plain,
ld(rd(X,X),rd(X,X)) = rd(X2,X2),
inference(transitivity,[status(thm)],[c264,c271]) ).
cnf(c273,plain,
ld(rd(X,X),rd(rd(mult(rd(X,X),X2),rd(X,X)),mult(rd(X,X),X2))) = rd(X3,X3),
inference(transitivity,[status(thm)],[c261,c272]) ).
cnf(c274,plain,
rd(X2,mult(mult(rd(X,X),X2),rd(X,X))) = rd(X3,X3),
inference(transitivity,[status(thm)],[c254,c273]) ).
cnf(c275,plain,
rd(X2,ld(rd(X,X),mult(rd(X,X),X2))) = rd(X3,X3),
inference(transitivity,[status(thm)],[c252,c274]) ).
cnf(c276,plain,
rd(X,X) = rd(X2,X2),
inference(transitivity,[status(thm)],[c249,c275]) ).
cnf(c277,plain,
rd(X2,X2) = rd(X,X),
inference(substitution,[status(thm)],[c276]) ).
cnf(c278,plain,
ld(rd(X2,X2),X) = ld(rd(X,X),X),
inference(congruence,[status(thm)],[c277]) ).
cnf(c279,plain,
ld(rd(X,X),X) = X,
inference(substitution,[status(thm)],[c8]) ).
cnf(c280,plain,
ld(rd(X2,X2),X) = X,
inference(transitivity,[status(thm)],[c278,c279]) ).
cnf(c281,plain,
ld(rd(x1,x1),x0) = x0,
inference(substitution,[status(thm)],[c280]) ).
cnf(c282,plain,
mult(x0,rd(x1,x1)) = x0,
inference(transitivity,[status(thm)],[c246,c281]) ).
cnf(c283,plain,
mult(x0,ld(x1,x1)) = x0,
inference(transitivity,[status(thm)],[c90,c282]) ).
cnf(c284,plain,
$false,
inference(resolution,[status(thm)],[c1,c283]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP660-13 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.03 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 27 10:30:54 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.59/0.50 Command-line arguments: --no-flatten-goal
% 0.59/0.50
% 0.59/0.50 % SZS status Unsatisfiable
% 0.59/0.50
% 0.59/0.52 % SZS output start CNFRefutation
% See solution above
% 1.55/0.66
% 1.55/0.66 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------