%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 10:11:52 AM UTC 2026
% Result : Unsatisfiable 1.89s 0.69s
% Output : CNFRefutation 2.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 12
% Syntax : Number of clauses : 278 ( 278 unt; 0 nHn; 3 RR)
% Number of literals : 278 ( 277 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 : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 892 ( 67 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
asoc(a,b,asoc(c,d,e)) != unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(c2,axiom,
mult(A,unit) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c3,plain,
mult(i(i(X)),unit) = i(i(X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
i(i(X)) = mult(i(i(X)),unit),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,axiom,
mult(i(A2),A2) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c6,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c5]) ).
cnf(c7,plain,
unit = mult(i(X),X),
inference(symmetry,[status(thm)],[c6]) ).
cnf(c8,plain,
mult(i(i(X)),unit) = mult(i(i(X)),mult(i(X),X)),
inference(congruence,[status(thm)],[c7]) ).
cnf(c9,axiom,
mult(i(A2),mult(A2,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c10,plain,
mult(i(i(X)),mult(i(X),X)) = X,
inference(substitution,[status(thm)],[c9]) ).
cnf(c11,plain,
mult(i(i(X)),unit) = X,
inference(transitivity,[status(thm)],[c8,c10]) ).
cnf(c12,plain,
i(i(X)) = X,
inference(transitivity,[status(thm)],[c4,c11]) ).
cnf(c13,plain,
i(i(asoc(X,X5,asoc(X4,X3,X2)))) = asoc(X,X5,asoc(X4,X3,X2)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c14,plain,
asoc(X5,X4,asoc(X3,X2,X)) = i(i(asoc(X5,X4,asoc(X3,X2,X)))),
inference(symmetry,[status(thm)],[c13]) ).
cnf(c15,axiom,
op_t(A2,B2) = mult(i(B2),mult(A2,B2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).
cnf(c16,plain,
op_t(X2,X) = mult(i(X),mult(X2,X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c17,plain,
rd(op_t(X2,X),mult(X2,X)) = rd(mult(i(X),mult(X2,X)),mult(X2,X)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
rd(mult(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c19,plain,
rd(mult(i(X),mult(X2,X)),mult(X2,X)) = i(X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c20,plain,
rd(op_t(X2,X),mult(X2,X)) = i(X),
inference(transitivity,[status(thm)],[c17,c19]) ).
cnf(c21,plain,
rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X))))) = i(i(asoc(X5,X4,asoc(X3,X2,X)))),
inference(substitution,[status(thm)],[c20]) ).
cnf(c22,plain,
i(i(asoc(X5,X4,asoc(X3,X2,X)))) = rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X))))),
inference(symmetry,[status(thm)],[c21]) ).
cnf(c23,axiom,
mult(mult(A2,B2),C) = mult(mult(A2,mult(B2,C)),asoc(A2,B2,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).
cnf(c24,plain,
mult(mult(asoc(X5,X4,X3),X2),X) = mult(mult(asoc(X5,X4,X3),mult(X2,X)),asoc(asoc(X5,X4,X3),X2,X)),
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,axiom,
asoc(asoc(A2,B2,C2),D,E) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20) ).
cnf(c26,plain,
asoc(asoc(X5,X4,X3),X2,X) = unit,
inference(substitution,[status(thm)],[c25]) ).
cnf(c27,plain,
mult(mult(asoc(X5,X4,X3),mult(X2,X)),asoc(asoc(X5,X4,X3),X2,X)) = mult(mult(asoc(X5,X4,X3),mult(X2,X)),unit),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
mult(mult(asoc(X5,X4,X3),mult(X2,X)),unit) = mult(asoc(X5,X4,X3),mult(X2,X)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c29,plain,
mult(mult(asoc(X5,X4,X3),mult(X2,X)),asoc(asoc(X5,X4,X3),X2,X)) = mult(asoc(X5,X4,X3),mult(X2,X)),
inference(transitivity,[status(thm)],[c27,c28]) ).
cnf(c30,plain,
mult(mult(asoc(X5,X4,X3),X2),X) = mult(asoc(X5,X4,X3),mult(X2,X)),
inference(transitivity,[status(thm)],[c24,c29]) ).
cnf(c31,plain,
mult(mult(asoc(X4,X3,X2),X),X5) = mult(asoc(X4,X3,X2),mult(X,X5)),
inference(substitution,[status(thm)],[c30]) ).
cnf(c32,plain,
mult(asoc(X4,X3,X2),mult(X,X5)) = mult(mult(asoc(X4,X3,X2),X),X5),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
rd(X5,mult(asoc(X4,X3,X2),mult(X,X5))) = rd(X5,mult(mult(asoc(X4,X3,X2),X),X5)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
mult(i(X),mult(X,X2)) = X2,
inference(substitution,[status(thm)],[c9]) ).
cnf(c35,plain,
X2 = mult(i(X),mult(X,X2)),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
rd(X2,mult(X,X2)) = rd(mult(i(X),mult(X,X2)),mult(X,X2)),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
rd(mult(i(X),mult(X,X2)),mult(X,X2)) = i(X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c38,plain,
rd(X2,mult(X,X2)) = i(X),
inference(transitivity,[status(thm)],[c36,c37]) ).
cnf(c39,plain,
rd(X5,mult(mult(asoc(X4,X3,X2),X),X5)) = i(mult(asoc(X4,X3,X2),X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c40,axiom,
i(mult(A2,B2)) = mult(i(A2),i(B2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c41,plain,
i(mult(asoc(X4,X3,X2),X)) = mult(i(asoc(X4,X3,X2)),i(X)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c42,plain,
op_t(X,X2) = mult(i(X2),mult(X,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c43,plain,
mult(X2,op_t(X,X2)) = mult(X2,mult(i(X2),mult(X,X2))),
inference(congruence,[status(thm)],[c42]) ).
cnf(c44,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c45,plain,
mult(X2,mult(i(X2),X)) = mult(i(i(X2)),mult(i(X2),X)),
inference(congruence,[status(thm)],[c44]) ).
cnf(c46,plain,
mult(i(i(X2)),mult(i(X2),X)) = X,
inference(substitution,[status(thm)],[c9]) ).
cnf(c47,plain,
mult(X2,mult(i(X2),X)) = X,
inference(transitivity,[status(thm)],[c45,c46]) ).
cnf(c48,plain,
mult(X2,mult(i(X2),mult(X,X2))) = mult(X,X2),
inference(substitution,[status(thm)],[c47]) ).
cnf(c49,plain,
mult(X2,op_t(X,X2)) = mult(X,X2),
inference(transitivity,[status(thm)],[c43,c48]) ).
cnf(c50,plain,
mult(X,op_t(i(asoc(X4,X3,X2)),X)) = mult(i(asoc(X4,X3,X2)),X),
inference(substitution,[status(thm)],[c49]) ).
cnf(c51,plain,
mult(i(asoc(X4,X3,X2)),X) = mult(X,op_t(i(asoc(X4,X3,X2)),X)),
inference(symmetry,[status(thm)],[c50]) ).
cnf(c52,plain,
i(mult(X,X2)) = mult(i(X),i(X2)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c53,plain,
mult(i(X),i(X2)) = i(mult(X,X2)),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
mult(X2,mult(i(X),i(X2))) = mult(X2,i(mult(X,X2))),
inference(congruence,[status(thm)],[c53]) ).
cnf(c55,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c56,plain,
mult(X2,i(mult(X,X2))) = mult(i(i(X2)),i(mult(X,X2))),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
i(mult(i(X2),mult(X,X2))) = mult(i(i(X2)),i(mult(X,X2))),
inference(substitution,[status(thm)],[c40]) ).
cnf(c58,plain,
mult(i(i(X2)),i(mult(X,X2))) = i(mult(i(X2),mult(X,X2))),
inference(symmetry,[status(thm)],[c57]) ).
cnf(c59,plain,
op_t(X,X2) = mult(i(X2),mult(X,X2)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c60,plain,
mult(i(X2),mult(X,X2)) = op_t(X,X2),
inference(symmetry,[status(thm)],[c59]) ).
cnf(c61,plain,
i(mult(i(X2),mult(X,X2))) = i(op_t(X,X2)),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
mult(i(i(X2)),i(mult(X,X2))) = i(op_t(X,X2)),
inference(transitivity,[status(thm)],[c58,c61]) ).
cnf(c63,plain,
mult(X2,i(mult(X,X2))) = i(op_t(X,X2)),
inference(transitivity,[status(thm)],[c56,c62]) ).
cnf(c64,plain,
mult(X2,mult(i(X),i(X2))) = i(op_t(X,X2)),
inference(transitivity,[status(thm)],[c54,c63]) ).
cnf(c65,plain,
mult(i(X),mult(i(X2),i(i(X)))) = i(op_t(X2,i(X))),
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
i(op_t(X2,i(X))) = mult(i(X),mult(i(X2),i(i(X)))),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
mult(i(X2),i(i(X))) = mult(i(X2),X),
inference(congruence,[status(thm)],[c12]) ).
cnf(c68,plain,
mult(i(X),mult(i(X2),i(i(X)))) = mult(i(X),mult(i(X2),X)),
inference(congruence,[status(thm)],[c67]) ).
cnf(c69,plain,
op_t(i(X2),X) = mult(i(X),mult(i(X2),X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c70,plain,
mult(i(X),mult(i(X2),X)) = op_t(i(X2),X),
inference(symmetry,[status(thm)],[c69]) ).
cnf(c71,plain,
mult(i(X),mult(i(X2),i(i(X)))) = op_t(i(X2),X),
inference(transitivity,[status(thm)],[c68,c70]) ).
cnf(c72,plain,
i(op_t(X2,i(X))) = op_t(i(X2),X),
inference(transitivity,[status(thm)],[c66,c71]) ).
cnf(c73,plain,
i(op_t(asoc(X4,X3,X2),i(X))) = op_t(i(asoc(X4,X3,X2)),X),
inference(substitution,[status(thm)],[c72]) ).
cnf(c74,plain,
op_t(i(asoc(X4,X3,X2)),X) = i(op_t(asoc(X4,X3,X2),i(X))),
inference(symmetry,[status(thm)],[c73]) ).
cnf(c75,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c76,plain,
op_t(asoc(X4,X3,X2),X) = op_t(asoc(X4,X3,X2),i(i(X))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
op_t(i(X2),X) = i(op_t(X2,i(X))),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c78,plain,
i(op_t(i(X2),X)) = i(i(op_t(X2,i(X)))),
inference(congruence,[status(thm)],[c77]) ).
cnf(c79,plain,
i(i(op_t(X2,i(X)))) = op_t(X2,i(X)),
inference(substitution,[status(thm)],[c12]) ).
cnf(c80,plain,
i(op_t(i(X2),X)) = op_t(X2,i(X)),
inference(transitivity,[status(thm)],[c78,c79]) ).
cnf(c81,plain,
i(op_t(i(asoc(X4,X3,X2)),i(X))) = op_t(asoc(X4,X3,X2),i(i(X))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c82,plain,
op_t(asoc(X4,X3,X2),i(i(X))) = i(op_t(i(asoc(X4,X3,X2)),i(X))),
inference(symmetry,[status(thm)],[c81]) ).
cnf(c83,plain,
mult(i(X),X) = unit,
inference(substitution,[status(thm)],[c5]) ).
cnf(c84,plain,
unit = mult(i(X),X),
inference(symmetry,[status(thm)],[c83]) ).
cnf(c85,plain,
rd(unit,X) = rd(mult(i(X),X),X),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
rd(mult(i(X),X),X) = i(X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c87,plain,
rd(unit,X) = i(X),
inference(transitivity,[status(thm)],[c85,c86]) ).
cnf(c88,plain,
rd(unit,op_t(i(asoc(X4,X3,X2)),i(X))) = i(op_t(i(asoc(X4,X3,X2)),i(X))),
inference(substitution,[status(thm)],[c87]) ).
cnf(c89,plain,
i(op_t(i(asoc(X4,X3,X2)),i(X))) = rd(unit,op_t(i(asoc(X4,X3,X2)),i(X))),
inference(symmetry,[status(thm)],[c88]) ).
cnf(c90,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c91,plain,
op_t(X2,X) = op_t(X2,i(i(X))),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
i(op_t(X2,X)) = i(op_t(X2,i(i(X)))),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
i(op_t(X2,i(i(X)))) = op_t(i(X2),i(X)),
inference(substitution,[status(thm)],[c72]) ).
cnf(c94,plain,
i(op_t(X2,X)) = op_t(i(X2),i(X)),
inference(transitivity,[status(thm)],[c92,c93]) ).
cnf(c95,plain,
i(op_t(asoc(X4,X3,X2),X)) = op_t(i(asoc(X4,X3,X2)),i(X)),
inference(substitution,[status(thm)],[c94]) ).
cnf(c96,plain,
op_t(i(asoc(X4,X3,X2)),i(X)) = i(op_t(asoc(X4,X3,X2),X)),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
mult(asoc(X4,X3,X2),op_t(i(asoc(X4,X3,X2)),i(X))) = mult(asoc(X4,X3,X2),i(op_t(asoc(X4,X3,X2),X))),
inference(congruence,[status(thm)],[c96]) ).
cnf(c98,plain,
mult(X,mult(i(asoc(X4,X3,X2)),i(X))) = i(op_t(asoc(X4,X3,X2),X)),
inference(substitution,[status(thm)],[c64]) ).
cnf(c99,plain,
i(op_t(asoc(X4,X3,X2),X)) = mult(X,mult(i(asoc(X4,X3,X2)),i(X))),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
mult(asoc(X4,X3,X2),i(op_t(asoc(X4,X3,X2),X))) = mult(asoc(X4,X3,X2),mult(X,mult(i(asoc(X4,X3,X2)),i(X)))),
inference(congruence,[status(thm)],[c99]) ).
cnf(c101,plain,
i(mult(asoc(X4,X3,X2),X)) = mult(i(asoc(X4,X3,X2)),i(X)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c102,plain,
mult(i(asoc(X4,X3,X2)),i(X)) = i(mult(asoc(X4,X3,X2),X)),
inference(symmetry,[status(thm)],[c101]) ).
cnf(c103,plain,
mult(X,mult(i(asoc(X4,X3,X2)),i(X))) = mult(X,i(mult(asoc(X4,X3,X2),X))),
inference(congruence,[status(thm)],[c102]) ).
cnf(c104,plain,
mult(asoc(X4,X3,X2),mult(X,mult(i(asoc(X4,X3,X2)),i(X)))) = mult(asoc(X4,X3,X2),mult(X,i(mult(asoc(X4,X3,X2),X)))),
inference(congruence,[status(thm)],[c103]) ).
cnf(c105,plain,
mult(mult(asoc(X4,X3,X2),X),i(mult(asoc(X4,X3,X2),X))) = mult(asoc(X4,X3,X2),mult(X,i(mult(asoc(X4,X3,X2),X)))),
inference(substitution,[status(thm)],[c30]) ).
cnf(c106,plain,
mult(asoc(X4,X3,X2),mult(X,i(mult(asoc(X4,X3,X2),X)))) = mult(mult(asoc(X4,X3,X2),X),i(mult(asoc(X4,X3,X2),X))),
inference(symmetry,[status(thm)],[c105]) ).
cnf(c107,axiom,
mult(A2,i(A2)) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c108,plain,
mult(mult(asoc(X4,X3,X2),X),i(mult(asoc(X4,X3,X2),X))) = unit,
inference(substitution,[status(thm)],[c107]) ).
cnf(c109,plain,
mult(asoc(X4,X3,X2),mult(X,i(mult(asoc(X4,X3,X2),X)))) = unit,
inference(transitivity,[status(thm)],[c106,c108]) ).
cnf(c110,plain,
mult(asoc(X4,X3,X2),mult(X,mult(i(asoc(X4,X3,X2)),i(X)))) = unit,
inference(transitivity,[status(thm)],[c104,c109]) ).
cnf(c111,plain,
mult(asoc(X4,X3,X2),i(op_t(asoc(X4,X3,X2),X))) = unit,
inference(transitivity,[status(thm)],[c100,c110]) ).
cnf(c112,plain,
mult(asoc(X4,X3,X2),op_t(i(asoc(X4,X3,X2)),i(X))) = unit,
inference(transitivity,[status(thm)],[c97,c111]) ).
cnf(c113,plain,
unit = mult(asoc(X4,X3,X2),op_t(i(asoc(X4,X3,X2)),i(X))),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
rd(unit,op_t(i(asoc(X4,X3,X2)),i(X))) = rd(mult(asoc(X4,X3,X2),op_t(i(asoc(X4,X3,X2)),i(X))),op_t(i(asoc(X4,X3,X2)),i(X))),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
rd(mult(asoc(X4,X3,X2),op_t(i(asoc(X4,X3,X2)),i(X))),op_t(i(asoc(X4,X3,X2)),i(X))) = asoc(X4,X3,X2),
inference(substitution,[status(thm)],[c18]) ).
cnf(c116,plain,
rd(unit,op_t(i(asoc(X4,X3,X2)),i(X))) = asoc(X4,X3,X2),
inference(transitivity,[status(thm)],[c114,c115]) ).
cnf(c117,plain,
i(op_t(i(asoc(X4,X3,X2)),i(X))) = asoc(X4,X3,X2),
inference(transitivity,[status(thm)],[c89,c116]) ).
cnf(c118,plain,
op_t(asoc(X4,X3,X2),i(i(X))) = asoc(X4,X3,X2),
inference(transitivity,[status(thm)],[c82,c117]) ).
cnf(c119,plain,
op_t(asoc(X4,X3,X2),X) = asoc(X4,X3,X2),
inference(transitivity,[status(thm)],[c76,c118]) ).
cnf(c120,plain,
op_t(asoc(X4,X3,X2),i(X)) = asoc(X4,X3,X2),
inference(substitution,[status(thm)],[c119]) ).
cnf(c121,plain,
i(op_t(asoc(X4,X3,X2),i(X))) = i(asoc(X4,X3,X2)),
inference(congruence,[status(thm)],[c120]) ).
cnf(c122,plain,
op_t(i(asoc(X4,X3,X2)),X) = i(asoc(X4,X3,X2)),
inference(transitivity,[status(thm)],[c74,c121]) ).
cnf(c123,plain,
mult(X,op_t(i(asoc(X4,X3,X2)),X)) = mult(X,i(asoc(X4,X3,X2))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
mult(i(asoc(X4,X3,X2)),X) = mult(X,i(asoc(X4,X3,X2))),
inference(transitivity,[status(thm)],[c51,c123]) ).
cnf(c125,plain,
mult(i(asoc(X4,X3,X2)),i(X)) = mult(i(X),i(asoc(X4,X3,X2))),
inference(substitution,[status(thm)],[c124]) ).
cnf(c126,plain,
i(mult(asoc(X4,X3,X2),X)) = mult(i(X),i(asoc(X4,X3,X2))),
inference(transitivity,[status(thm)],[c41,c125]) ).
cnf(c127,plain,
rd(X5,mult(mult(asoc(X4,X3,X2),X),X5)) = mult(i(X),i(asoc(X4,X3,X2))),
inference(transitivity,[status(thm)],[c39,c126]) ).
cnf(c128,plain,
rd(X5,mult(asoc(X4,X3,X2),mult(X,X5))) = mult(i(X),i(asoc(X4,X3,X2))),
inference(transitivity,[status(thm)],[c33,c127]) ).
cnf(c129,plain,
rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X))))) = mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),
inference(substitution,[status(thm)],[c128]) ).
cnf(c130,plain,
mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))) = rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X))))),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
mult(X,op_t(asoc(X4,X3,X2),X)) = mult(asoc(X4,X3,X2),X),
inference(substitution,[status(thm)],[c49]) ).
cnf(c132,plain,
mult(asoc(X4,X3,X2),X) = mult(X,op_t(asoc(X4,X3,X2),X)),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
mult(X,op_t(asoc(X4,X3,X2),X)) = mult(X,asoc(X4,X3,X2)),
inference(congruence,[status(thm)],[c119]) ).
cnf(c134,plain,
mult(asoc(X4,X3,X2),X) = mult(X,asoc(X4,X3,X2)),
inference(transitivity,[status(thm)],[c132,c133]) ).
cnf(c135,plain,
mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X)))) = mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c134]) ).
cnf(c136,plain,
mult(mult(X5,X4),asoc(X3,X2,X)) = mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c23]) ).
cnf(c137,plain,
mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))) = mult(mult(X5,X4),asoc(X3,X2,X)),
inference(symmetry,[status(thm)],[c136]) ).
cnf(c138,plain,
mult(asoc(X3,X2,X),mult(X5,X4)) = mult(mult(X5,X4),asoc(X3,X2,X)),
inference(substitution,[status(thm)],[c134]) ).
cnf(c139,plain,
mult(mult(X5,X4),asoc(X3,X2,X)) = mult(asoc(X3,X2,X),mult(X5,X4)),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
mult(mult(X5,mult(X4,asoc(X3,X2,X))),asoc(X5,X4,asoc(X3,X2,X))) = mult(asoc(X3,X2,X),mult(X5,X4)),
inference(transitivity,[status(thm)],[c137,c139]) ).
cnf(c141,plain,
mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X)))) = mult(asoc(X3,X2,X),mult(X5,X4)),
inference(transitivity,[status(thm)],[c135,c140]) ).
cnf(c142,plain,
rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X))))) = rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X3,X2,X),mult(X5,X4))),
inference(congruence,[status(thm)],[c141]) ).
cnf(c143,plain,
i(i(asoc(X3,X2,X))) = asoc(X3,X2,X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c144,plain,
asoc(X3,X2,X) = i(i(asoc(X3,X2,X))),
inference(symmetry,[status(thm)],[c143]) ).
cnf(c145,plain,
mult(X4,asoc(X3,X2,X)) = mult(X4,i(i(asoc(X3,X2,X)))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
rd(mult(X5,asoc(X4,X3,X2)),X) = rd(mult(X5,i(i(asoc(X4,X3,X2)))),X),
inference(congruence,[status(thm)],[c145]) ).
cnf(c147,plain,
X = i(i(X)),
inference(symmetry,[status(thm)],[c12]) ).
cnf(c148,plain,
mult(X4,i(i(asoc(X3,X2,X)))) = mult(i(i(X4)),i(i(asoc(X3,X2,X)))),
inference(congruence,[status(thm)],[c147]) ).
cnf(c149,plain,
rd(mult(X5,i(i(asoc(X4,X3,X2)))),X) = rd(mult(i(i(X5)),i(i(asoc(X4,X3,X2)))),X),
inference(congruence,[status(thm)],[c148]) ).
cnf(c150,plain,
i(mult(i(X4),i(asoc(X3,X2,X)))) = mult(i(i(X4)),i(i(asoc(X3,X2,X)))),
inference(substitution,[status(thm)],[c40]) ).
cnf(c151,plain,
mult(i(i(X4)),i(i(asoc(X3,X2,X)))) = i(mult(i(X4),i(asoc(X3,X2,X)))),
inference(symmetry,[status(thm)],[c150]) ).
cnf(c152,plain,
rd(mult(i(i(X5)),i(i(asoc(X4,X3,X2)))),X) = rd(i(mult(i(X5),i(asoc(X4,X3,X2)))),X),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
mult(X2,op_t(rd(i(X2),X),X2)) = mult(rd(i(X2),X),X2),
inference(substitution,[status(thm)],[c49]) ).
cnf(c154,plain,
mult(rd(i(X2),X),X2) = mult(X2,op_t(rd(i(X2),X),X2)),
inference(symmetry,[status(thm)],[c153]) ).
cnf(c155,plain,
rd(X,mult(rd(X2,X),X)) = i(rd(X2,X)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c156,plain,
i(rd(X2,X)) = rd(X,mult(rd(X2,X),X)),
inference(symmetry,[status(thm)],[c155]) ).
cnf(c157,axiom,
mult(rd(A2,B2),B2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c158,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c157]) ).
cnf(c159,plain,
rd(X,mult(rd(X2,X),X)) = rd(X,X2),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
i(rd(X2,X)) = rd(X,X2),
inference(transitivity,[status(thm)],[c156,c159]) ).
cnf(c161,plain,
i(rd(X,i(X2))) = rd(i(X2),X),
inference(substitution,[status(thm)],[c160]) ).
cnf(c162,plain,
rd(i(X2),X) = i(rd(X,i(X2))),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
op_t(rd(i(X2),X),X2) = op_t(i(rd(X,i(X2))),X2),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
i(op_t(rd(X,i(X2)),i(X2))) = op_t(i(rd(X,i(X2))),X2),
inference(substitution,[status(thm)],[c72]) ).
cnf(c165,plain,
op_t(i(rd(X,i(X2))),X2) = i(op_t(rd(X,i(X2)),i(X2))),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
op_t(rd(X2,X),X) = mult(i(X),mult(rd(X2,X),X)),
inference(substitution,[status(thm)],[c15]) ).
cnf(c167,plain,
mult(rd(X2,X),X) = X2,
inference(substitution,[status(thm)],[c157]) ).
cnf(c168,plain,
mult(i(X),mult(rd(X2,X),X)) = mult(i(X),X2),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
op_t(rd(X2,X),X) = mult(i(X),X2),
inference(transitivity,[status(thm)],[c166,c168]) ).
cnf(c170,plain,
op_t(rd(X,i(X2)),i(X2)) = mult(i(i(X2)),X),
inference(substitution,[status(thm)],[c169]) ).
cnf(c171,plain,
i(op_t(rd(X,i(X2)),i(X2))) = i(mult(i(i(X2)),X)),
inference(congruence,[status(thm)],[c170]) ).
cnf(c172,plain,
i(mult(i(i(X2)),X)) = mult(i(i(i(X2))),i(X)),
inference(substitution,[status(thm)],[c40]) ).
cnf(c173,plain,
i(i(i(X))) = i(X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c174,plain,
mult(i(i(i(X2))),i(X)) = mult(i(X2),i(X)),
inference(congruence,[status(thm)],[c173]) ).
cnf(c175,plain,
i(mult(i(i(X2)),X)) = mult(i(X2),i(X)),
inference(transitivity,[status(thm)],[c172,c174]) ).
cnf(c176,plain,
i(op_t(rd(X,i(X2)),i(X2))) = mult(i(X2),i(X)),
inference(transitivity,[status(thm)],[c171,c175]) ).
cnf(c177,plain,
op_t(i(rd(X,i(X2))),X2) = mult(i(X2),i(X)),
inference(transitivity,[status(thm)],[c165,c176]) ).
cnf(c178,plain,
op_t(rd(i(X2),X),X2) = mult(i(X2),i(X)),
inference(transitivity,[status(thm)],[c163,c177]) ).
cnf(c179,plain,
mult(X2,op_t(rd(i(X2),X),X2)) = mult(X2,mult(i(X2),i(X))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
mult(X2,mult(i(X2),i(X))) = i(X),
inference(substitution,[status(thm)],[c47]) ).
cnf(c181,plain,
mult(X2,op_t(rd(i(X2),X),X2)) = i(X),
inference(transitivity,[status(thm)],[c179,c180]) ).
cnf(c182,plain,
mult(rd(i(X2),X),X2) = i(X),
inference(transitivity,[status(thm)],[c154,c181]) ).
cnf(c183,plain,
i(X) = mult(rd(i(X2),X),X2),
inference(symmetry,[status(thm)],[c182]) ).
cnf(c184,plain,
rd(i(X),X2) = rd(mult(rd(i(X2),X),X2),X2),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
rd(mult(rd(i(X2),X),X2),X2) = rd(i(X2),X),
inference(substitution,[status(thm)],[c18]) ).
cnf(c186,plain,
rd(i(X),X2) = rd(i(X2),X),
inference(transitivity,[status(thm)],[c184,c185]) ).
cnf(c187,plain,
rd(i(mult(i(X5),i(asoc(X4,X3,X2)))),X) = rd(i(X),mult(i(X5),i(asoc(X4,X3,X2)))),
inference(substitution,[status(thm)],[c186]) ).
cnf(c188,plain,
i(mult(X4,asoc(X3,X2,X))) = mult(i(X4),i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c40]) ).
cnf(c189,plain,
mult(i(X4),i(asoc(X3,X2,X))) = i(mult(X4,asoc(X3,X2,X))),
inference(symmetry,[status(thm)],[c188]) ).
cnf(c190,plain,
rd(i(X5),mult(i(X4),i(asoc(X3,X2,X)))) = rd(i(X5),i(mult(X4,asoc(X3,X2,X)))),
inference(congruence,[status(thm)],[c189]) ).
cnf(c191,plain,
i(rd(i(X),X2)) = rd(X2,i(X)),
inference(substitution,[status(thm)],[c160]) ).
cnf(c192,plain,
rd(X2,i(X)) = i(rd(i(X),X2)),
inference(symmetry,[status(thm)],[c191]) ).
cnf(c193,plain,
rd(X,mult(rd(i(X),X2),X)) = i(rd(i(X),X2)),
inference(substitution,[status(thm)],[c38]) ).
cnf(c194,plain,
i(rd(i(X),X2)) = rd(X,mult(rd(i(X),X2),X)),
inference(symmetry,[status(thm)],[c193]) ).
cnf(c195,plain,
mult(rd(i(X),X2),X) = i(X2),
inference(substitution,[status(thm)],[c182]) ).
cnf(c196,plain,
rd(X,mult(rd(i(X),X2),X)) = rd(X,i(X2)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
i(rd(i(X),X2)) = rd(X,i(X2)),
inference(transitivity,[status(thm)],[c194,c196]) ).
cnf(c198,plain,
rd(X2,i(X)) = rd(X,i(X2)),
inference(transitivity,[status(thm)],[c192,c197]) ).
cnf(c199,plain,
rd(X,i(i(X2))) = rd(i(X2),i(X)),
inference(substitution,[status(thm)],[c198]) ).
cnf(c200,plain,
rd(i(X2),i(X)) = rd(X,i(i(X2))),
inference(symmetry,[status(thm)],[c199]) ).
cnf(c201,plain,
rd(X,i(i(X2))) = rd(X,X2),
inference(congruence,[status(thm)],[c12]) ).
cnf(c202,plain,
rd(i(X2),i(X)) = rd(X,X2),
inference(transitivity,[status(thm)],[c200,c201]) ).
cnf(c203,plain,
rd(i(X5),i(mult(X4,asoc(X3,X2,X)))) = rd(mult(X4,asoc(X3,X2,X)),X5),
inference(substitution,[status(thm)],[c202]) ).
cnf(c204,plain,
i(rd(X5,mult(X4,asoc(X3,X2,X)))) = rd(mult(X4,asoc(X3,X2,X)),X5),
inference(substitution,[status(thm)],[c160]) ).
cnf(c205,plain,
rd(mult(X4,asoc(X3,X2,X)),X5) = i(rd(X5,mult(X4,asoc(X3,X2,X)))),
inference(symmetry,[status(thm)],[c204]) ).
cnf(c206,plain,
mult(asoc(X3,X2,X),X4) = mult(X4,asoc(X3,X2,X)),
inference(substitution,[status(thm)],[c134]) ).
cnf(c207,plain,
mult(X4,asoc(X3,X2,X)) = mult(asoc(X3,X2,X),X4),
inference(symmetry,[status(thm)],[c206]) ).
cnf(c208,plain,
rd(X5,mult(X4,asoc(X3,X2,X))) = rd(X5,mult(asoc(X3,X2,X),X4)),
inference(congruence,[status(thm)],[c207]) ).
cnf(c209,plain,
mult(rd(X,X2),X2) = X,
inference(substitution,[status(thm)],[c157]) ).
cnf(c210,plain,
X = mult(rd(X,X2),X2),
inference(symmetry,[status(thm)],[c209]) ).
cnf(c211,plain,
mult(asoc(X3,X2,X),X4) = mult(asoc(X3,X2,X),mult(rd(X4,X5),X5)),
inference(congruence,[status(thm)],[c210]) ).
cnf(c212,plain,
rd(X5,mult(asoc(X3,X2,X),X4)) = rd(X5,mult(asoc(X3,X2,X),mult(rd(X4,X5),X5))),
inference(congruence,[status(thm)],[c211]) ).
cnf(c213,plain,
rd(X5,mult(asoc(X3,X2,X),mult(rd(X4,X5),X5))) = mult(i(rd(X4,X5)),i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c128]) ).
cnf(c214,plain,
i(rd(X,X2)) = rd(X2,X),
inference(substitution,[status(thm)],[c160]) ).
cnf(c215,plain,
mult(i(rd(X4,X5)),i(asoc(X3,X2,X))) = mult(rd(X5,X4),i(asoc(X3,X2,X))),
inference(congruence,[status(thm)],[c214]) ).
cnf(c216,plain,
mult(i(asoc(X3,X2,X)),rd(X5,X4)) = mult(rd(X5,X4),i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c124]) ).
cnf(c217,plain,
mult(rd(X5,X4),i(asoc(X3,X2,X))) = mult(i(asoc(X3,X2,X)),rd(X5,X4)),
inference(symmetry,[status(thm)],[c216]) ).
cnf(c218,plain,
mult(i(rd(X4,X5)),i(asoc(X3,X2,X))) = mult(i(asoc(X3,X2,X)),rd(X5,X4)),
inference(transitivity,[status(thm)],[c215,c217]) ).
cnf(c219,plain,
rd(X5,mult(asoc(X3,X2,X),mult(rd(X4,X5),X5))) = mult(i(asoc(X3,X2,X)),rd(X5,X4)),
inference(transitivity,[status(thm)],[c213,c218]) ).
cnf(c220,plain,
rd(X5,mult(asoc(X3,X2,X),X4)) = mult(i(asoc(X3,X2,X)),rd(X5,X4)),
inference(transitivity,[status(thm)],[c212,c219]) ).
cnf(c221,plain,
rd(X5,mult(X4,asoc(X3,X2,X))) = mult(i(asoc(X3,X2,X)),rd(X5,X4)),
inference(transitivity,[status(thm)],[c208,c220]) ).
cnf(c222,plain,
i(rd(X5,mult(X4,asoc(X3,X2,X)))) = i(mult(i(asoc(X3,X2,X)),rd(X5,X4))),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
i(mult(i(asoc(X3,X2,X)),rd(X5,X4))) = mult(i(i(asoc(X3,X2,X))),i(rd(X5,X4))),
inference(substitution,[status(thm)],[c40]) ).
cnf(c224,plain,
i(i(asoc(X3,X2,X))) = asoc(X3,X2,X),
inference(substitution,[status(thm)],[c12]) ).
cnf(c225,plain,
mult(i(i(asoc(X3,X2,X))),i(rd(X5,X4))) = mult(asoc(X3,X2,X),i(rd(X5,X4))),
inference(congruence,[status(thm)],[c224]) ).
cnf(c226,plain,
mult(asoc(X3,X2,X),i(rd(X5,X4))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(congruence,[status(thm)],[c160]) ).
cnf(c227,plain,
mult(i(i(asoc(X3,X2,X))),i(rd(X5,X4))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c225,c226]) ).
cnf(c228,plain,
i(mult(i(asoc(X3,X2,X)),rd(X5,X4))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c223,c227]) ).
cnf(c229,plain,
i(rd(X5,mult(X4,asoc(X3,X2,X)))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c222,c228]) ).
cnf(c230,plain,
rd(mult(X4,asoc(X3,X2,X)),X5) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c205,c229]) ).
cnf(c231,plain,
rd(i(X5),i(mult(X4,asoc(X3,X2,X)))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c203,c230]) ).
cnf(c232,plain,
rd(i(X5),mult(i(X4),i(asoc(X3,X2,X)))) = mult(asoc(X3,X2,X),rd(X4,X5)),
inference(transitivity,[status(thm)],[c190,c231]) ).
cnf(c233,plain,
rd(i(X),mult(i(X5),i(asoc(X4,X3,X2)))) = mult(asoc(X4,X3,X2),rd(X5,X)),
inference(substitution,[status(thm)],[c232]) ).
cnf(c234,plain,
rd(i(mult(i(X5),i(asoc(X4,X3,X2)))),X) = mult(asoc(X4,X3,X2),rd(X5,X)),
inference(transitivity,[status(thm)],[c187,c233]) ).
cnf(c235,plain,
rd(mult(i(i(X5)),i(i(asoc(X4,X3,X2)))),X) = mult(asoc(X4,X3,X2),rd(X5,X)),
inference(transitivity,[status(thm)],[c152,c234]) ).
cnf(c236,plain,
rd(mult(X5,i(i(asoc(X4,X3,X2)))),X) = mult(asoc(X4,X3,X2),rd(X5,X)),
inference(transitivity,[status(thm)],[c149,c235]) ).
cnf(c237,plain,
rd(mult(X5,asoc(X4,X3,X2)),X) = mult(asoc(X4,X3,X2),rd(X5,X)),
inference(transitivity,[status(thm)],[c146,c236]) ).
cnf(c238,plain,
rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X3,X2,X),mult(X5,X4))) = mult(asoc(X3,X2,X),rd(X4,mult(asoc(X3,X2,X),mult(X5,X4)))),
inference(substitution,[status(thm)],[c237]) ).
cnf(c239,plain,
rd(X4,mult(asoc(X3,X2,X),mult(X5,X4))) = mult(i(X5),i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c128]) ).
cnf(c240,plain,
mult(asoc(X3,X2,X),rd(X4,mult(asoc(X3,X2,X),mult(X5,X4)))) = mult(asoc(X3,X2,X),mult(i(X5),i(asoc(X3,X2,X)))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
mult(asoc(X3,X2,X),mult(i(X4),i(asoc(X3,X2,X)))) = i(op_t(X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c64]) ).
cnf(c242,plain,
i(op_t(X4,asoc(X3,X2,X))) = op_t(i(X4),i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c94]) ).
cnf(c243,plain,
i(op_t(i(X4),asoc(X3,X2,X))) = op_t(X4,i(asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c80]) ).
cnf(c244,plain,
op_t(X4,i(asoc(X3,X2,X))) = i(op_t(i(X4),asoc(X3,X2,X))),
inference(symmetry,[status(thm)],[c243]) ).
cnf(c245,plain,
op_t(X4,asoc(X3,X2,X)) = mult(i(asoc(X3,X2,X)),mult(X4,asoc(X3,X2,X))),
inference(substitution,[status(thm)],[c15]) ).
cnf(c246,plain,
mult(asoc(X3,X2,X),X4) = mult(X4,asoc(X3,X2,X)),
inference(substitution,[status(thm)],[c134]) ).
cnf(c247,plain,
mult(X4,asoc(X3,X2,X)) = mult(asoc(X3,X2,X),X4),
inference(symmetry,[status(thm)],[c246]) ).
cnf(c248,plain,
mult(i(asoc(X3,X2,X)),mult(X4,asoc(X3,X2,X))) = mult(i(asoc(X3,X2,X)),mult(asoc(X3,X2,X),X4)),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
mult(i(asoc(X3,X2,X)),mult(asoc(X3,X2,X),X4)) = X4,
inference(substitution,[status(thm)],[c9]) ).
cnf(c250,plain,
mult(i(asoc(X3,X2,X)),mult(X4,asoc(X3,X2,X))) = X4,
inference(transitivity,[status(thm)],[c248,c249]) ).
cnf(c251,plain,
op_t(X4,asoc(X3,X2,X)) = X4,
inference(transitivity,[status(thm)],[c245,c250]) ).
cnf(c252,plain,
op_t(i(X4),asoc(X3,X2,X)) = i(X4),
inference(substitution,[status(thm)],[c251]) ).
cnf(c253,plain,
i(op_t(i(X4),asoc(X3,X2,X))) = i(i(X4)),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
i(op_t(i(X4),asoc(X3,X2,X))) = X4,
inference(transitivity,[status(thm)],[c253,c12]) ).
cnf(c255,plain,
op_t(X4,i(asoc(X3,X2,X))) = X4,
inference(transitivity,[status(thm)],[c244,c254]) ).
cnf(c256,plain,
op_t(i(X4),i(asoc(X3,X2,X))) = i(X4),
inference(substitution,[status(thm)],[c255]) ).
cnf(c257,plain,
i(op_t(X4,asoc(X3,X2,X))) = i(X4),
inference(transitivity,[status(thm)],[c242,c256]) ).
cnf(c258,plain,
mult(asoc(X3,X2,X),mult(i(X4),i(asoc(X3,X2,X)))) = i(X4),
inference(transitivity,[status(thm)],[c241,c257]) ).
cnf(c259,plain,
mult(asoc(X3,X2,X),rd(X4,mult(asoc(X3,X2,X),mult(X5,X4)))) = i(X5),
inference(transitivity,[status(thm)],[c240,c258]) ).
cnf(c260,plain,
rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X3,X2,X),mult(X5,X4))) = i(X5),
inference(transitivity,[status(thm)],[c238,c259]) ).
cnf(c261,plain,
rd(mult(X4,asoc(X3,X2,X)),mult(asoc(X5,X4,asoc(X3,X2,X)),mult(X5,mult(X4,asoc(X3,X2,X))))) = i(X5),
inference(transitivity,[status(thm)],[c142,c260]) ).
cnf(c262,plain,
mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))) = i(X5),
inference(transitivity,[status(thm)],[c130,c261]) ).
cnf(c263,plain,
rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X))))) = rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),i(X5)),
inference(congruence,[status(thm)],[c262]) ).
cnf(c264,plain,
op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))) = i(X5),
inference(substitution,[status(thm)],[c255]) ).
cnf(c265,plain,
rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),i(X5)) = rd(i(X5),i(X5)),
inference(congruence,[status(thm)],[c264]) ).
cnf(c266,axiom,
mult(unit,A2) = A2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c267,plain,
mult(unit,X) = X,
inference(substitution,[status(thm)],[c266]) ).
cnf(c268,plain,
X = mult(unit,X),
inference(symmetry,[status(thm)],[c267]) ).
cnf(c269,plain,
rd(X,X) = rd(mult(unit,X),X),
inference(congruence,[status(thm)],[c268]) ).
cnf(c270,plain,
rd(mult(unit,X),X) = unit,
inference(substitution,[status(thm)],[c18]) ).
cnf(c271,plain,
rd(X,X) = unit,
inference(transitivity,[status(thm)],[c269,c270]) ).
cnf(c272,plain,
rd(i(X),i(X)) = unit,
inference(substitution,[status(thm)],[c271]) ).
cnf(c273,plain,
rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),i(X5)) = unit,
inference(transitivity,[status(thm)],[c265,c272]) ).
cnf(c274,plain,
rd(op_t(i(X5),i(asoc(X5,X4,asoc(X3,X2,X)))),mult(i(X5),i(asoc(X5,X4,asoc(X3,X2,X))))) = unit,
inference(transitivity,[status(thm)],[c263,c273]) ).
cnf(c275,plain,
i(i(asoc(X5,X4,asoc(X3,X2,X)))) = unit,
inference(transitivity,[status(thm)],[c22,c274]) ).
cnf(c276,plain,
asoc(X5,X4,asoc(X3,X2,X)) = unit,
inference(transitivity,[status(thm)],[c14,c275]) ).
cnf(c277,plain,
asoc(a,b,asoc(c,d,e)) = unit,
inference(substitution,[status(thm)],[c276]) ).
cnf(c278,plain,
$false,
inference(resolution,[status(thm)],[c1,c277]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP727-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 10:40:36 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.89/0.69 Command-line arguments: --lhs-weight 9 --flip-ordering --complete-subsets --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 1.89/0.69
% 1.89/0.69 % SZS status Unsatisfiable
% 1.89/0.69
% 2.21/0.71 % SZS output start CNFRefutation
% See solution above
% 2.99/0.86
% 2.99/0.86 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------