%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : RNG025-6 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 12:34:48 PM UTC 2026
% Result : Unsatisfiable 24.44s 3.56s
% Output : CNFRefutation 25.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 15
% Syntax : Number of clauses : 362 ( 362 unt; 0 nHn; 3 RR)
% Number of literals : 362 ( 361 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 846 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
associator(x,y,x) != additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_flexible_law) ).
cnf(c2,axiom,
add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_for_addition) ).
cnf(c3,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)) = add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
add(additive_inverse(add(X3,X2)),X3) = add(X3,additive_inverse(add(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c6,plain,
add(X3,additive_inverse(add(X3,X2))) = add(additive_inverse(add(X3,X2)),X3),
inference(symmetry,[status(thm)],[c5]) ).
cnf(c7,axiom,
additive_inverse(additive_inverse(X2)) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c8,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
add(X2,X3) = add(X2,additive_inverse(additive_inverse(X3))),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
add(additive_inverse(X3),add(X2,X3)) = add(additive_inverse(X3),add(X2,additive_inverse(additive_inverse(X3)))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,plain,
add(additive_inverse(X3),X2) = add(X2,additive_inverse(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c12,plain,
add(X2,additive_inverse(X3)) = add(additive_inverse(X3),X2),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
add(X3,add(X2,additive_inverse(X3))) = add(X3,add(additive_inverse(X3),X2)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,axiom,
add(X2,add(Y2,Z)) = add(add(X2,Y2),Z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_for_addition) ).
cnf(c15,plain,
add(X3,add(additive_inverse(X3),X2)) = add(add(X3,additive_inverse(X3)),X2),
inference(substitution,[status(thm)],[c14]) ).
cnf(c16,axiom,
add(X2,additive_inverse(X2)) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c17,plain,
add(add(X3,additive_inverse(X3)),X2) = add(additive_identity,X2),
inference(congruence,[status(thm)],[c16]) ).
cnf(c18,axiom,
add(additive_identity,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c19,plain,
add(add(X3,additive_inverse(X3)),X2) = X2,
inference(transitivity,[status(thm)],[c17,c18]) ).
cnf(c20,plain,
add(X3,add(additive_inverse(X3),X2)) = X2,
inference(transitivity,[status(thm)],[c15,c19]) ).
cnf(c21,plain,
add(X3,add(X2,additive_inverse(X3))) = X2,
inference(transitivity,[status(thm)],[c13,c20]) ).
cnf(c22,plain,
add(additive_inverse(X3),add(X2,additive_inverse(additive_inverse(X3)))) = X2,
inference(substitution,[status(thm)],[c21]) ).
cnf(c23,plain,
add(additive_inverse(X3),add(X2,X3)) = X2,
inference(transitivity,[status(thm)],[c10,c22]) ).
cnf(c24,plain,
add(additive_inverse(X2),add(X3,X2)) = X3,
inference(substitution,[status(thm)],[c23]) ).
cnf(c25,plain,
X3 = add(additive_inverse(X2),add(X3,X2)),
inference(symmetry,[status(thm)],[c24]) ).
cnf(c26,plain,
add(additive_inverse(add(X3,X2)),X3) = add(additive_inverse(add(X3,X2)),add(additive_inverse(X2),add(X3,X2))),
inference(congruence,[status(thm)],[c25]) ).
cnf(c27,plain,
add(additive_inverse(add(X3,X2)),add(additive_inverse(X2),add(X3,X2))) = additive_inverse(X2),
inference(substitution,[status(thm)],[c23]) ).
cnf(c28,plain,
add(additive_inverse(add(X3,X2)),X3) = additive_inverse(X2),
inference(transitivity,[status(thm)],[c26,c27]) ).
cnf(c29,plain,
add(X3,additive_inverse(add(X3,X2))) = additive_inverse(X2),
inference(transitivity,[status(thm)],[c6,c28]) ).
cnf(c30,plain,
add(multiply(X2,X3),additive_inverse(add(multiply(X2,X3),multiply(X3,additive_inverse(X2))))) = additive_inverse(multiply(X3,additive_inverse(X2))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c31,plain,
additive_inverse(multiply(X3,additive_inverse(X2))) = add(multiply(X2,X3),additive_inverse(add(multiply(X2,X3),multiply(X3,additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c30]) ).
cnf(c32,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X3,X2)) = add(multiply(X3,X2),multiply(X2,additive_inverse(X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c33,plain,
add(multiply(X3,X2),multiply(X2,additive_inverse(X3))) = add(multiply(X2,additive_inverse(X3)),multiply(X3,X2)),
inference(symmetry,[status(thm)],[c32]) ).
cnf(c34,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c35,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c34]) ).
cnf(c36,plain,
multiply(X4,add(X3,X2)) = multiply(X4,add(X2,X3)),
inference(congruence,[status(thm)],[c35]) ).
cnf(c37,plain,
add(commutator(X4,X3),multiply(X4,add(X3,X2))) = add(commutator(X4,X3),multiply(X4,add(X2,X3))),
inference(congruence,[status(thm)],[c36]) ).
cnf(c38,plain,
add(multiply(X3,X4),X2) = add(X2,multiply(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c39,plain,
add(X3,multiply(X4,X2)) = add(multiply(X4,X2),X3),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
add(multiply(X5,X4),add(X3,multiply(X5,X2))) = add(multiply(X5,X4),add(multiply(X5,X2),X3)),
inference(congruence,[status(thm)],[c39]) ).
cnf(c41,plain,
add(add(X3,X2),X4) = add(X4,add(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c42,plain,
add(X4,add(X3,X2)) = add(add(X3,X2),X4),
inference(symmetry,[status(thm)],[c41]) ).
cnf(c43,plain,
add(X3,add(X2,X4)) = add(add(X3,X2),X4),
inference(substitution,[status(thm)],[c14]) ).
cnf(c44,plain,
add(add(X3,X2),X4) = add(X3,add(X2,X4)),
inference(symmetry,[status(thm)],[c43]) ).
cnf(c45,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c46,plain,
add(X3,add(X2,X4)) = add(X3,add(X4,X2)),
inference(congruence,[status(thm)],[c45]) ).
cnf(c47,plain,
add(add(X3,X2),X4) = add(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c44,c46]) ).
cnf(c48,plain,
add(X4,add(X3,X2)) = add(X3,add(X4,X2)),
inference(transitivity,[status(thm)],[c42,c47]) ).
cnf(c49,plain,
add(multiply(X5,X2),add(multiply(X5,X4),X3)) = add(multiply(X5,X4),add(multiply(X5,X2),X3)),
inference(substitution,[status(thm)],[c48]) ).
cnf(c50,plain,
add(multiply(X5,X4),add(multiply(X5,X2),X3)) = add(multiply(X5,X2),add(multiply(X5,X4),X3)),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
add(multiply(X5,X2),add(multiply(X5,X4),X3)) = add(add(multiply(X5,X2),multiply(X5,X4)),X3),
inference(substitution,[status(thm)],[c14]) ).
cnf(c52,axiom,
multiply(X2,add(Y2,Z2)) = add(multiply(X2,Y2),multiply(X2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute1) ).
cnf(c53,plain,
multiply(X4,add(X2,X3)) = add(multiply(X4,X2),multiply(X4,X3)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c54,plain,
add(multiply(X4,X2),multiply(X4,X3)) = multiply(X4,add(X2,X3)),
inference(symmetry,[status(thm)],[c53]) ).
cnf(c55,plain,
add(add(multiply(X5,X2),multiply(X5,X4)),X3) = add(multiply(X5,add(X2,X4)),X3),
inference(congruence,[status(thm)],[c54]) ).
cnf(c56,plain,
add(multiply(X5,add(X2,X4)),X3) = add(X3,multiply(X5,add(X2,X4))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c57,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c58,plain,
multiply(X4,add(X2,X3)) = multiply(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c57]) ).
cnf(c59,plain,
add(X3,multiply(X5,add(X2,X4))) = add(X3,multiply(X5,add(X4,X2))),
inference(congruence,[status(thm)],[c58]) ).
cnf(c60,plain,
add(multiply(X5,add(X2,X4)),X3) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c56,c59]) ).
cnf(c61,plain,
add(add(multiply(X5,X2),multiply(X5,X4)),X3) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c55,c60]) ).
cnf(c62,plain,
add(multiply(X5,X2),add(multiply(X5,X4),X3)) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c51,c61]) ).
cnf(c63,plain,
add(multiply(X5,X4),add(multiply(X5,X2),X3)) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c50,c62]) ).
cnf(c64,plain,
add(multiply(X5,X4),add(X3,multiply(X5,X2))) = add(X3,multiply(X5,add(X4,X2))),
inference(transitivity,[status(thm)],[c40,c63]) ).
cnf(c65,plain,
add(multiply(X4,X2),add(commutator(X4,X3),multiply(X4,X3))) = add(commutator(X4,X3),multiply(X4,add(X2,X3))),
inference(substitution,[status(thm)],[c64]) ).
cnf(c66,plain,
add(commutator(X4,X3),multiply(X4,add(X2,X3))) = add(multiply(X4,X2),add(commutator(X4,X3),multiply(X4,X3))),
inference(symmetry,[status(thm)],[c65]) ).
cnf(c67,plain,
add(multiply(X3,X2),commutator(X3,X2)) = add(commutator(X3,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c68,plain,
add(commutator(X3,X2),multiply(X3,X2)) = add(multiply(X3,X2),commutator(X3,X2)),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,axiom,
commutator(X2,Y2) = add(multiply(Y2,X2),additive_inverse(multiply(X2,Y2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutator) ).
cnf(c70,plain,
commutator(X3,X2) = add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),
inference(substitution,[status(thm)],[c69]) ).
cnf(c71,plain,
add(multiply(X3,X2),commutator(X3,X2)) = add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
add(multiply(X3,X2),add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = multiply(X2,X3),
inference(substitution,[status(thm)],[c21]) ).
cnf(c73,plain,
add(multiply(X3,X2),commutator(X3,X2)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c71,c72]) ).
cnf(c74,plain,
add(commutator(X3,X2),multiply(X3,X2)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c68,c73]) ).
cnf(c75,plain,
add(multiply(X4,X2),add(commutator(X4,X3),multiply(X4,X3))) = add(multiply(X4,X2),multiply(X3,X4)),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
add(commutator(X4,X3),multiply(X4,add(X2,X3))) = add(multiply(X4,X2),multiply(X3,X4)),
inference(transitivity,[status(thm)],[c66,c75]) ).
cnf(c77,plain,
add(commutator(X4,X3),multiply(X4,add(X3,X2))) = add(multiply(X4,X2),multiply(X3,X4)),
inference(transitivity,[status(thm)],[c37,c76]) ).
cnf(c78,plain,
add(commutator(X2,X3),multiply(X2,add(X3,additive_inverse(X3)))) = add(multiply(X2,additive_inverse(X3)),multiply(X3,X2)),
inference(substitution,[status(thm)],[c77]) ).
cnf(c79,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X3,X2)) = add(commutator(X2,X3),multiply(X2,add(X3,additive_inverse(X3)))),
inference(symmetry,[status(thm)],[c78]) ).
cnf(c80,plain,
multiply(X2,add(X3,additive_inverse(X3))) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c16]) ).
cnf(c81,plain,
add(commutator(X2,X3),multiply(X2,add(X3,additive_inverse(X3)))) = add(commutator(X2,X3),multiply(X2,additive_identity)),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,axiom,
multiply(X2,additive_identity) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c83,plain,
add(commutator(X2,X3),multiply(X2,additive_identity)) = add(commutator(X2,X3),additive_identity),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,axiom,
add(X2,additive_identity) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_additive_identity) ).
cnf(c85,plain,
add(commutator(X2,X3),additive_identity) = commutator(X2,X3),
inference(substitution,[status(thm)],[c84]) ).
cnf(c86,plain,
add(commutator(X2,X3),multiply(X2,additive_identity)) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c83,c85]) ).
cnf(c87,plain,
add(commutator(X2,X3),multiply(X2,add(X3,additive_inverse(X3)))) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c81,c86]) ).
cnf(c88,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X3,X2)) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c79,c87]) ).
cnf(c89,plain,
add(multiply(X3,X2),multiply(X2,additive_inverse(X3))) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c33,c88]) ).
cnf(c90,plain,
add(multiply(X2,X3),multiply(X3,additive_inverse(X2))) = commutator(X3,X2),
inference(substitution,[status(thm)],[c89]) ).
cnf(c91,plain,
additive_inverse(add(multiply(X2,X3),multiply(X3,additive_inverse(X2)))) = additive_inverse(commutator(X3,X2)),
inference(congruence,[status(thm)],[c90]) ).
cnf(c92,plain,
add(multiply(X2,X3),additive_inverse(add(multiply(X2,X3),multiply(X3,additive_inverse(X2))))) = add(multiply(X2,X3),additive_inverse(commutator(X3,X2))),
inference(congruence,[status(thm)],[c91]) ).
cnf(c93,plain,
commutator(X3,X2) = add(multiply(X2,X3),additive_inverse(multiply(X3,X2))),
inference(substitution,[status(thm)],[c69]) ).
cnf(c94,plain,
additive_inverse(commutator(X3,X2)) = additive_inverse(add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))),
inference(congruence,[status(thm)],[c93]) ).
cnf(c95,plain,
add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))) = additive_inverse(add(X3,additive_inverse(X2))),
inference(substitution,[status(thm)],[c29]) ).
cnf(c96,plain,
additive_inverse(add(X3,additive_inverse(X2))) = add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))),
inference(symmetry,[status(thm)],[c95]) ).
cnf(c97,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c98,plain,
additive_inverse(add(X2,add(X3,additive_inverse(X2)))) = additive_inverse(X3),
inference(congruence,[status(thm)],[c97]) ).
cnf(c99,plain,
add(X2,additive_inverse(add(X2,add(X3,additive_inverse(X2))))) = add(X2,additive_inverse(X3)),
inference(congruence,[status(thm)],[c98]) ).
cnf(c100,plain,
additive_inverse(add(X3,additive_inverse(X2))) = add(X2,additive_inverse(X3)),
inference(transitivity,[status(thm)],[c96,c99]) ).
cnf(c101,plain,
additive_inverse(add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),
inference(substitution,[status(thm)],[c100]) ).
cnf(c102,plain,
commutator(X2,X3) = add(multiply(X3,X2),additive_inverse(multiply(X2,X3))),
inference(substitution,[status(thm)],[c69]) ).
cnf(c103,plain,
add(multiply(X3,X2),additive_inverse(multiply(X2,X3))) = commutator(X2,X3),
inference(symmetry,[status(thm)],[c102]) ).
cnf(c104,plain,
additive_inverse(add(multiply(X2,X3),additive_inverse(multiply(X3,X2)))) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c101,c103]) ).
cnf(c105,plain,
additive_inverse(commutator(X3,X2)) = commutator(X2,X3),
inference(transitivity,[status(thm)],[c94,c104]) ).
cnf(c106,plain,
add(multiply(X2,X3),additive_inverse(commutator(X3,X2))) = add(multiply(X2,X3),commutator(X2,X3)),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
add(multiply(X2,X3),commutator(X2,X3)) = add(commutator(X2,X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c108,plain,
add(commutator(X2,X3),multiply(X2,X3)) = multiply(X3,X2),
inference(substitution,[status(thm)],[c74]) ).
cnf(c109,plain,
add(multiply(X2,X3),commutator(X2,X3)) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c107,c108]) ).
cnf(c110,plain,
add(multiply(X2,X3),additive_inverse(commutator(X3,X2))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c106,c109]) ).
cnf(c111,plain,
add(multiply(X2,X3),additive_inverse(add(multiply(X2,X3),multiply(X3,additive_inverse(X2))))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c92,c110]) ).
cnf(c112,plain,
additive_inverse(multiply(X3,additive_inverse(X2))) = multiply(X3,X2),
inference(transitivity,[status(thm)],[c31,c111]) ).
cnf(c113,plain,
multiply(X3,X2) = additive_inverse(multiply(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c112]) ).
cnf(c114,plain,
additive_inverse(multiply(X3,X2)) = additive_inverse(additive_inverse(multiply(X3,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
additive_inverse(additive_inverse(multiply(X3,additive_inverse(X2)))) = multiply(X3,additive_inverse(X2)),
inference(substitution,[status(thm)],[c7]) ).
cnf(c116,plain,
additive_inverse(multiply(X3,X2)) = multiply(X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c114,c115]) ).
cnf(c117,plain,
multiply(X3,additive_inverse(X2)) = additive_inverse(multiply(X3,X2)),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c118,plain,
multiply(X4,multiply(X3,additive_inverse(X2))) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
additive_inverse(multiply(X4,multiply(X3,X2))) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(substitution,[status(thm)],[c116]) ).
cnf(c121,plain,
multiply(X4,additive_inverse(multiply(X3,X2))) = additive_inverse(multiply(X4,multiply(X3,X2))),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))) = add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,axiom,
associator(X2,Y2,Z2) = add(multiply(multiply(X2,Y2),Z2),additive_inverse(multiply(X2,multiply(Y2,Z2)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associator) ).
cnf(c124,plain,
associator(X4,X3,X2) = add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))),
inference(substitution,[status(thm)],[c123]) ).
cnf(c125,plain,
add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))) = associator(X4,X3,X2),
inference(symmetry,[status(thm)],[c124]) ).
cnf(c126,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,additive_inverse(multiply(X3,X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c122,c125]) ).
cnf(c127,plain,
add(multiply(multiply(X4,X3),X2),multiply(X4,multiply(X3,additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c119,c126]) ).
cnf(c128,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c4,c127]) ).
cnf(c129,plain,
add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(multiply(X3,X2),X3)) = associator(X3,X2,X3),
inference(substitution,[status(thm)],[c128]) ).
cnf(c130,plain,
associator(X3,X2,X3) = add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(multiply(X3,X2),X3)),
inference(symmetry,[status(thm)],[c129]) ).
cnf(c131,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c132,plain,
X3 = add(X2,add(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c131]) ).
cnf(c133,plain,
multiply(multiply(X3,X2),X3) = multiply(multiply(X3,X2),add(X2,add(X3,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c132]) ).
cnf(c134,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c135,plain,
X3 = add(X2,add(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c134]) ).
cnf(c136,plain,
multiply(X3,X2) = multiply(add(X2,add(X3,additive_inverse(X2))),X2),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
multiply(multiply(X3,X2),add(X2,add(X3,additive_inverse(X2)))) = multiply(multiply(add(X2,add(X3,additive_inverse(X2))),X2),add(X2,add(X3,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,axiom,
multiply(multiply(X2,Y2),Y2) = multiply(X2,multiply(Y2,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_alternative) ).
cnf(c139,plain,
multiply(multiply(X3,X2),X2) = multiply(X3,multiply(X2,X2)),
inference(substitution,[status(thm)],[c138]) ).
cnf(c140,plain,
multiply(X3,multiply(X2,X2)) = multiply(multiply(X3,X2),X2),
inference(symmetry,[status(thm)],[c139]) ).
cnf(c141,plain,
add(multiply(X4,multiply(X3,X3)),multiply(multiply(X4,X3),X2)) = add(multiply(multiply(X4,X3),X3),multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c140]) ).
cnf(c142,plain,
multiply(multiply(X4,X3),add(X3,X2)) = add(multiply(multiply(X4,X3),X3),multiply(multiply(X4,X3),X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c143,plain,
add(multiply(multiply(X4,X3),X3),multiply(multiply(X4,X3),X2)) = multiply(multiply(X4,X3),add(X3,X2)),
inference(symmetry,[status(thm)],[c142]) ).
cnf(c144,plain,
add(multiply(X4,multiply(X3,X3)),multiply(multiply(X4,X3),X2)) = multiply(multiply(X4,X3),add(X3,X2)),
inference(transitivity,[status(thm)],[c141,c143]) ).
cnf(c145,plain,
add(multiply(add(X3,X2),multiply(X3,X3)),multiply(multiply(add(X3,X2),X3),X2)) = multiply(multiply(add(X3,X2),X3),add(X3,X2)),
inference(substitution,[status(thm)],[c144]) ).
cnf(c146,plain,
multiply(multiply(add(X3,X2),X3),add(X3,X2)) = add(multiply(add(X3,X2),multiply(X3,X3)),multiply(multiply(add(X3,X2),X3),X2)),
inference(symmetry,[status(thm)],[c145]) ).
cnf(c147,plain,
add(multiply(X4,multiply(X3,X2)),associator(X4,X3,X2)) = add(associator(X4,X3,X2),multiply(X4,multiply(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c148,plain,
add(associator(X4,X3,X2),multiply(X4,multiply(X3,X2))) = add(multiply(X4,multiply(X3,X2)),associator(X4,X3,X2)),
inference(symmetry,[status(thm)],[c147]) ).
cnf(c149,plain,
associator(X4,X3,X2) = add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2)))),
inference(substitution,[status(thm)],[c123]) ).
cnf(c150,plain,
add(multiply(X4,multiply(X3,X2)),associator(X4,X3,X2)) = add(multiply(X4,multiply(X3,X2)),add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2))))),
inference(congruence,[status(thm)],[c149]) ).
cnf(c151,plain,
add(multiply(X4,multiply(X3,X2)),add(multiply(multiply(X4,X3),X2),additive_inverse(multiply(X4,multiply(X3,X2))))) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c21]) ).
cnf(c152,plain,
add(multiply(X4,multiply(X3,X2)),associator(X4,X3,X2)) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c150,c151]) ).
cnf(c153,plain,
add(associator(X4,X3,X2),multiply(X4,multiply(X3,X2))) = multiply(multiply(X4,X3),X2),
inference(transitivity,[status(thm)],[c148,c152]) ).
cnf(c154,plain,
add(associator(add(X3,X2),X3,X2),multiply(add(X3,X2),multiply(X3,X2))) = multiply(multiply(add(X3,X2),X3),X2),
inference(substitution,[status(thm)],[c153]) ).
cnf(c155,plain,
multiply(multiply(add(X3,X2),X3),X2) = add(associator(add(X3,X2),X3,X2),multiply(add(X3,X2),multiply(X3,X2))),
inference(symmetry,[status(thm)],[c154]) ).
cnf(c156,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c157,plain,
add(X3,X2) = add(X3,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c156]) ).
cnf(c158,plain,
associator(add(X3,X2),X3,X2) = associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),
inference(congruence,[status(thm)],[c157]) ).
cnf(c159,plain,
add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),additive_identity) = associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),
inference(substitution,[status(thm)],[c84]) ).
cnf(c160,plain,
associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2) = add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),additive_identity),
inference(symmetry,[status(thm)],[c159]) ).
cnf(c161,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c162,plain,
X3 = add(X2,add(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c161]) ).
cnf(c163,plain,
associator(add(X3,additive_inverse(X2)),X3,X2) = associator(add(X3,additive_inverse(X2)),add(X2,add(X3,additive_inverse(X2))),X2),
inference(congruence,[status(thm)],[c162]) ).
cnf(c164,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c165,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c164]) ).
cnf(c166,plain,
associator(X3,add(X2,X3),X2) = associator(X3,add(X3,X2),X2),
inference(congruence,[status(thm)],[c165]) ).
cnf(c167,plain,
add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(multiply(X3,add(X3,X2)),X2)) = associator(X3,add(X3,X2),X2),
inference(substitution,[status(thm)],[c128]) ).
cnf(c168,plain,
associator(X3,add(X3,X2),X2) = add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(multiply(X3,add(X3,X2)),X2)),
inference(symmetry,[status(thm)],[c167]) ).
cnf(c169,plain,
multiply(X3,add(X3,X2)) = add(multiply(X3,X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c170,plain,
multiply(multiply(X3,add(X3,X2)),X2) = multiply(add(multiply(X3,X3),multiply(X3,X2)),X2),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
multiply(multiply(X2,X3),X3) = multiply(X2,multiply(X3,X3)),
inference(substitution,[status(thm)],[c138]) ).
cnf(c172,plain,
multiply(X2,multiply(X3,X3)) = multiply(multiply(X2,X3),X3),
inference(symmetry,[status(thm)],[c171]) ).
cnf(c173,plain,
add(multiply(X4,multiply(X4,X3)),multiply(X2,multiply(X3,X3))) = add(multiply(X4,multiply(X4,X3)),multiply(multiply(X2,X3),X3)),
inference(congruence,[status(thm)],[c172]) ).
cnf(c174,axiom,
multiply(multiply(X2,X2),Y2) = multiply(X2,multiply(X2,Y2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_alternative) ).
cnf(c175,plain,
multiply(multiply(X3,X3),X2) = multiply(X3,multiply(X3,X2)),
inference(substitution,[status(thm)],[c174]) ).
cnf(c176,plain,
multiply(X3,multiply(X3,X2)) = multiply(multiply(X3,X3),X2),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c177,plain,
add(multiply(X4,multiply(X4,X3)),multiply(X2,X3)) = add(multiply(multiply(X4,X4),X3),multiply(X2,X3)),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,axiom,
multiply(add(X2,Y2),Z2) = add(multiply(X2,Z2),multiply(Y2,Z2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distribute2) ).
cnf(c179,plain,
multiply(add(multiply(X4,X4),X2),X3) = add(multiply(multiply(X4,X4),X3),multiply(X2,X3)),
inference(substitution,[status(thm)],[c178]) ).
cnf(c180,plain,
add(multiply(multiply(X4,X4),X3),multiply(X2,X3)) = multiply(add(multiply(X4,X4),X2),X3),
inference(symmetry,[status(thm)],[c179]) ).
cnf(c181,plain,
add(multiply(X3,X3),X2) = add(X2,multiply(X3,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c182,plain,
multiply(add(multiply(X4,X4),X2),X3) = multiply(add(X2,multiply(X4,X4)),X3),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
add(multiply(multiply(X4,X4),X3),multiply(X2,X3)) = multiply(add(X2,multiply(X4,X4)),X3),
inference(transitivity,[status(thm)],[c180,c182]) ).
cnf(c184,plain,
add(multiply(X4,multiply(X4,X3)),multiply(X2,X3)) = multiply(add(X2,multiply(X4,X4)),X3),
inference(transitivity,[status(thm)],[c177,c183]) ).
cnf(c185,plain,
add(multiply(X4,multiply(X4,X3)),multiply(multiply(X2,X3),X3)) = multiply(add(multiply(X2,X3),multiply(X4,X4)),X3),
inference(substitution,[status(thm)],[c184]) ).
cnf(c186,plain,
add(multiply(X2,X3),multiply(X4,X4)) = add(multiply(X4,X4),multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c187,plain,
multiply(add(multiply(X2,X3),multiply(X4,X4)),X3) = multiply(add(multiply(X4,X4),multiply(X2,X3)),X3),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
add(multiply(X4,multiply(X4,X3)),multiply(multiply(X2,X3),X3)) = multiply(add(multiply(X4,X4),multiply(X2,X3)),X3),
inference(transitivity,[status(thm)],[c185,c187]) ).
cnf(c189,plain,
add(multiply(X4,multiply(X4,X3)),multiply(X2,multiply(X3,X3))) = multiply(add(multiply(X4,X4),multiply(X2,X3)),X3),
inference(transitivity,[status(thm)],[c173,c188]) ).
cnf(c190,plain,
add(multiply(X3,multiply(X3,X2)),multiply(X3,multiply(X2,X2))) = multiply(add(multiply(X3,X3),multiply(X3,X2)),X2),
inference(substitution,[status(thm)],[c189]) ).
cnf(c191,plain,
multiply(add(multiply(X3,X3),multiply(X3,X2)),X2) = add(multiply(X3,multiply(X3,X2)),multiply(X3,multiply(X2,X2))),
inference(symmetry,[status(thm)],[c190]) ).
cnf(c192,plain,
multiply(X3,add(multiply(X3,X2),multiply(X2,X2))) = add(multiply(X3,multiply(X3,X2)),multiply(X3,multiply(X2,X2))),
inference(substitution,[status(thm)],[c52]) ).
cnf(c193,plain,
add(multiply(X3,multiply(X3,X2)),multiply(X3,multiply(X2,X2))) = multiply(X3,add(multiply(X3,X2),multiply(X2,X2))),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
multiply(add(X3,X2),X2) = add(multiply(X3,X2),multiply(X2,X2)),
inference(substitution,[status(thm)],[c178]) ).
cnf(c195,plain,
add(multiply(X3,X2),multiply(X2,X2)) = multiply(add(X3,X2),X2),
inference(symmetry,[status(thm)],[c194]) ).
cnf(c196,plain,
multiply(X3,add(multiply(X3,X2),multiply(X2,X2))) = multiply(X3,multiply(add(X3,X2),X2)),
inference(congruence,[status(thm)],[c195]) ).
cnf(c197,plain,
add(multiply(X3,multiply(X3,X2)),multiply(X3,multiply(X2,X2))) = multiply(X3,multiply(add(X3,X2),X2)),
inference(transitivity,[status(thm)],[c193,c196]) ).
cnf(c198,plain,
multiply(add(multiply(X3,X3),multiply(X3,X2)),X2) = multiply(X3,multiply(add(X3,X2),X2)),
inference(transitivity,[status(thm)],[c191,c197]) ).
cnf(c199,plain,
multiply(multiply(X3,add(X3,X2)),X2) = multiply(X3,multiply(add(X3,X2),X2)),
inference(transitivity,[status(thm)],[c170,c198]) ).
cnf(c200,plain,
add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(multiply(X3,add(X3,X2)),X2)) = add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(X3,multiply(add(X3,X2),X2))),
inference(congruence,[status(thm)],[c199]) ).
cnf(c201,plain,
multiply(X3,add(multiply(add(X3,X2),additive_inverse(X2)),multiply(add(X3,X2),X2))) = add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(X3,multiply(add(X3,X2),X2))),
inference(substitution,[status(thm)],[c52]) ).
cnf(c202,plain,
add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(X3,multiply(add(X3,X2),X2))) = multiply(X3,add(multiply(add(X3,X2),additive_inverse(X2)),multiply(add(X3,X2),X2))),
inference(symmetry,[status(thm)],[c201]) ).
cnf(c203,plain,
add(multiply(X2,X3),multiply(X4,additive_inverse(X3))) = add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c204,plain,
add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)) = add(multiply(X2,X3),multiply(X4,additive_inverse(X3))),
inference(symmetry,[status(thm)],[c203]) ).
cnf(c205,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = add(multiply(X4,X3),multiply(X2,additive_inverse(X3))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c206,plain,
add(multiply(X4,X3),multiply(X2,additive_inverse(X3))) = add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)),
inference(symmetry,[status(thm)],[c205]) ).
cnf(c207,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c208,plain,
X3 = add(X2,add(X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c207]) ).
cnf(c209,plain,
multiply(X4,X3) = multiply(add(X2,add(X4,additive_inverse(X2))),X3),
inference(congruence,[status(thm)],[c208]) ).
cnf(c210,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = add(multiply(X2,additive_inverse(X3)),multiply(add(X2,add(X4,additive_inverse(X2))),X3)),
inference(congruence,[status(thm)],[c209]) ).
cnf(c211,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c212,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c211]) ).
cnf(c213,plain,
multiply(add(X4,X2),X3) = multiply(add(X2,X4),X3),
inference(congruence,[status(thm)],[c212]) ).
cnf(c214,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X4,X2),X3)) = add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)),
inference(congruence,[status(thm)],[c213]) ).
cnf(c215,plain,
multiply(X3,additive_inverse(X2)) = additive_inverse(multiply(X3,X2)),
inference(symmetry,[status(thm)],[c116]) ).
cnf(c216,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)) = add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)),
inference(congruence,[status(thm)],[c215]) ).
cnf(c217,plain,
multiply(add(X2,X4),X3) = add(multiply(X2,X3),multiply(X4,X3)),
inference(substitution,[status(thm)],[c178]) ).
cnf(c218,plain,
add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)) = add(additive_inverse(multiply(X4,X3)),add(multiply(X2,X3),multiply(X4,X3))),
inference(congruence,[status(thm)],[c217]) ).
cnf(c219,plain,
add(additive_inverse(multiply(X4,X3)),add(multiply(X2,X3),multiply(X4,X3))) = multiply(X2,X3),
inference(substitution,[status(thm)],[c23]) ).
cnf(c220,plain,
add(additive_inverse(multiply(X4,X3)),multiply(add(X2,X4),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c218,c219]) ).
cnf(c221,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X2,X4),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c216,c220]) ).
cnf(c222,plain,
add(multiply(X4,additive_inverse(X3)),multiply(add(X4,X2),X3)) = multiply(X2,X3),
inference(transitivity,[status(thm)],[c214,c221]) ).
cnf(c223,plain,
add(multiply(X2,additive_inverse(X3)),multiply(add(X2,add(X4,additive_inverse(X2))),X3)) = multiply(add(X4,additive_inverse(X2)),X3),
inference(substitution,[status(thm)],[c222]) ).
cnf(c224,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X4,X3)) = multiply(add(X4,additive_inverse(X2)),X3),
inference(transitivity,[status(thm)],[c210,c223]) ).
cnf(c225,plain,
add(multiply(X4,X3),multiply(X2,additive_inverse(X3))) = multiply(add(X4,additive_inverse(X2)),X3),
inference(transitivity,[status(thm)],[c206,c224]) ).
cnf(c226,plain,
add(multiply(X2,X3),multiply(X4,additive_inverse(X3))) = multiply(add(X2,additive_inverse(X4)),X3),
inference(substitution,[status(thm)],[c225]) ).
cnf(c227,plain,
add(multiply(X3,X2),multiply(X4,additive_inverse(X2))) = multiply(add(X3,additive_inverse(X4)),X2),
inference(substitution,[status(thm)],[c225]) ).
cnf(c228,plain,
multiply(add(X3,additive_inverse(X4)),X2) = add(multiply(X3,X2),multiply(X4,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c227]) ).
cnf(c229,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c230,plain,
multiply(X3,X2) = multiply(X3,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c229]) ).
cnf(c231,plain,
add(multiply(X3,X2),multiply(X4,additive_inverse(X2))) = add(multiply(X3,additive_inverse(additive_inverse(X2))),multiply(X4,additive_inverse(X2))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
add(multiply(X2,X3),multiply(X4,additive_inverse(X3))) = add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c233,plain,
add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)) = add(multiply(X2,X3),multiply(X4,additive_inverse(X3))),
inference(symmetry,[status(thm)],[c232]) ).
cnf(c234,plain,
add(multiply(X2,X3),multiply(X4,additive_inverse(X3))) = multiply(add(X2,additive_inverse(X4)),X3),
inference(substitution,[status(thm)],[c225]) ).
cnf(c235,plain,
add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)) = multiply(add(X2,additive_inverse(X4)),X3),
inference(transitivity,[status(thm)],[c233,c234]) ).
cnf(c236,plain,
add(multiply(X3,additive_inverse(additive_inverse(X2))),multiply(X4,additive_inverse(X2))) = multiply(add(X4,additive_inverse(X3)),additive_inverse(X2)),
inference(substitution,[status(thm)],[c235]) ).
cnf(c237,plain,
add(multiply(X3,X2),multiply(X4,additive_inverse(X2))) = multiply(add(X4,additive_inverse(X3)),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c231,c236]) ).
cnf(c238,plain,
multiply(add(X3,additive_inverse(X4)),X2) = multiply(add(X4,additive_inverse(X3)),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c228,c237]) ).
cnf(c239,plain,
multiply(add(X2,additive_inverse(X4)),X3) = multiply(add(X4,additive_inverse(X2)),additive_inverse(X3)),
inference(substitution,[status(thm)],[c238]) ).
cnf(c240,plain,
add(multiply(X2,X3),multiply(X4,additive_inverse(X3))) = multiply(add(X4,additive_inverse(X2)),additive_inverse(X3)),
inference(transitivity,[status(thm)],[c226,c239]) ).
cnf(c241,plain,
add(multiply(X4,additive_inverse(X3)),multiply(X2,X3)) = multiply(add(X4,additive_inverse(X2)),additive_inverse(X3)),
inference(transitivity,[status(thm)],[c204,c240]) ).
cnf(c242,plain,
add(multiply(add(X3,X2),additive_inverse(X2)),multiply(add(X3,X2),X2)) = multiply(add(add(X3,X2),additive_inverse(add(X3,X2))),additive_inverse(X2)),
inference(substitution,[status(thm)],[c241]) ).
cnf(c243,plain,
multiply(X3,add(multiply(add(X3,X2),additive_inverse(X2)),multiply(add(X3,X2),X2))) = multiply(X3,multiply(add(add(X3,X2),additive_inverse(add(X3,X2))),additive_inverse(X2))),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
add(X3,add(X2,additive_inverse(add(X3,X2)))) = add(add(X3,X2),additive_inverse(add(X3,X2))),
inference(substitution,[status(thm)],[c14]) ).
cnf(c245,plain,
add(add(X3,X2),additive_inverse(add(X3,X2))) = add(X3,add(X2,additive_inverse(add(X3,X2)))),
inference(symmetry,[status(thm)],[c244]) ).
cnf(c246,plain,
multiply(add(add(X3,X2),additive_inverse(add(X3,X2))),additive_inverse(X2)) = multiply(add(X3,add(X2,additive_inverse(add(X3,X2)))),additive_inverse(X2)),
inference(congruence,[status(thm)],[c245]) ).
cnf(c247,plain,
multiply(X3,multiply(add(add(X3,X2),additive_inverse(add(X3,X2))),additive_inverse(X2))) = multiply(X3,multiply(add(X3,add(X2,additive_inverse(add(X3,X2)))),additive_inverse(X2))),
inference(congruence,[status(thm)],[c246]) ).
cnf(c248,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c249,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c248]) ).
cnf(c250,plain,
additive_inverse(add(X3,X2)) = additive_inverse(add(X2,X3)),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
add(additive_inverse(X3),additive_inverse(add(additive_inverse(X3),add(X2,X3)))) = additive_inverse(add(X2,X3)),
inference(substitution,[status(thm)],[c29]) ).
cnf(c252,plain,
additive_inverse(add(X2,X3)) = add(additive_inverse(X3),additive_inverse(add(additive_inverse(X3),add(X2,X3)))),
inference(symmetry,[status(thm)],[c251]) ).
cnf(c253,plain,
additive_inverse(add(additive_inverse(X3),add(X2,X3))) = additive_inverse(X2),
inference(congruence,[status(thm)],[c23]) ).
cnf(c254,plain,
add(additive_inverse(X3),additive_inverse(add(additive_inverse(X3),add(X2,X3)))) = add(additive_inverse(X3),additive_inverse(X2)),
inference(congruence,[status(thm)],[c253]) ).
cnf(c255,plain,
additive_inverse(add(X2,X3)) = add(additive_inverse(X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c252,c254]) ).
cnf(c256,plain,
additive_inverse(add(X3,X2)) = add(additive_inverse(X3),additive_inverse(X2)),
inference(transitivity,[status(thm)],[c250,c255]) ).
cnf(c257,plain,
add(X2,additive_inverse(add(X3,X2))) = add(X2,add(additive_inverse(X3),additive_inverse(X2))),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
add(X3,add(X2,additive_inverse(add(X3,X2)))) = add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
multiply(add(X3,add(X2,additive_inverse(add(X3,X2)))),additive_inverse(X2)) = multiply(add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),additive_inverse(X2)),
inference(congruence,[status(thm)],[c258]) ).
cnf(c260,plain,
multiply(X3,multiply(add(X3,add(X2,additive_inverse(add(X3,X2)))),additive_inverse(X2))) = multiply(X3,multiply(add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),additive_inverse(X2))),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
add(X3,add(X4,add(additive_inverse(X4),X2))) = add(X4,add(X3,add(additive_inverse(X4),X2))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c262,plain,
add(X4,add(X3,add(additive_inverse(X4),X2))) = add(X3,add(X4,add(additive_inverse(X4),X2))),
inference(symmetry,[status(thm)],[c261]) ).
cnf(c263,plain,
add(X2,additive_inverse(X3)) = add(additive_inverse(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c264,plain,
add(additive_inverse(X3),X2) = add(X2,additive_inverse(X3)),
inference(symmetry,[status(thm)],[c263]) ).
cnf(c265,plain,
add(X3,add(additive_inverse(X3),X2)) = add(X3,add(X2,additive_inverse(X3))),
inference(congruence,[status(thm)],[c264]) ).
cnf(c266,plain,
add(X3,add(additive_inverse(X3),X2)) = X2,
inference(transitivity,[status(thm)],[c265,c21]) ).
cnf(c267,plain,
add(X3,add(X4,add(additive_inverse(X4),X2))) = add(X3,X2),
inference(congruence,[status(thm)],[c266]) ).
cnf(c268,plain,
add(X4,add(X3,add(additive_inverse(X4),X2))) = add(X3,X2),
inference(transitivity,[status(thm)],[c262,c267]) ).
cnf(c269,plain,
add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))) = add(X2,additive_inverse(X2)),
inference(substitution,[status(thm)],[c268]) ).
cnf(c270,plain,
multiply(add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),additive_inverse(X2)) = multiply(add(X2,additive_inverse(X2)),additive_inverse(X2)),
inference(congruence,[status(thm)],[c269]) ).
cnf(c271,plain,
multiply(X3,multiply(add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),additive_inverse(X2))) = multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X2))),
inference(congruence,[status(thm)],[c270]) ).
cnf(c272,plain,
multiply(add(X2,additive_inverse(X2)),additive_inverse(X2)) = multiply(additive_identity,additive_inverse(X2)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c273,plain,
multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X2))) = multiply(X3,multiply(additive_identity,additive_inverse(X2))),
inference(congruence,[status(thm)],[c272]) ).
cnf(c274,axiom,
multiply(additive_identity,X2) = additive_identity,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_multiplicative_zero) ).
cnf(c275,plain,
multiply(additive_identity,additive_inverse(X2)) = additive_identity,
inference(substitution,[status(thm)],[c274]) ).
cnf(c276,plain,
multiply(X3,multiply(additive_identity,additive_inverse(X2))) = multiply(X3,additive_identity),
inference(congruence,[status(thm)],[c275]) ).
cnf(c277,plain,
multiply(X3,multiply(additive_identity,additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c276,c82]) ).
cnf(c278,plain,
multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c273,c277]) ).
cnf(c279,plain,
multiply(X3,multiply(add(X3,add(X2,add(additive_inverse(X3),additive_inverse(X2)))),additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c271,c278]) ).
cnf(c280,plain,
multiply(X3,multiply(add(X3,add(X2,additive_inverse(add(X3,X2)))),additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c260,c279]) ).
cnf(c281,plain,
multiply(X3,multiply(add(add(X3,X2),additive_inverse(add(X3,X2))),additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c247,c280]) ).
cnf(c282,plain,
multiply(X3,add(multiply(add(X3,X2),additive_inverse(X2)),multiply(add(X3,X2),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c243,c281]) ).
cnf(c283,plain,
add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(X3,multiply(add(X3,X2),X2))) = additive_identity,
inference(transitivity,[status(thm)],[c202,c282]) ).
cnf(c284,plain,
add(multiply(X3,multiply(add(X3,X2),additive_inverse(X2))),multiply(multiply(X3,add(X3,X2)),X2)) = additive_identity,
inference(transitivity,[status(thm)],[c200,c283]) ).
cnf(c285,plain,
associator(X3,add(X3,X2),X2) = additive_identity,
inference(transitivity,[status(thm)],[c168,c284]) ).
cnf(c286,plain,
associator(X3,add(X2,X3),X2) = additive_identity,
inference(transitivity,[status(thm)],[c166,c285]) ).
cnf(c287,plain,
associator(add(X3,additive_inverse(X2)),add(X2,add(X3,additive_inverse(X2))),X2) = additive_identity,
inference(substitution,[status(thm)],[c286]) ).
cnf(c288,plain,
associator(add(X3,additive_inverse(X2)),X3,X2) = additive_identity,
inference(transitivity,[status(thm)],[c163,c287]) ).
cnf(c289,plain,
associator(add(X3,additive_inverse(additive_inverse(X2))),X3,additive_inverse(X2)) = additive_identity,
inference(substitution,[status(thm)],[c288]) ).
cnf(c290,plain,
additive_identity = associator(add(X3,additive_inverse(additive_inverse(X2))),X3,additive_inverse(X2)),
inference(symmetry,[status(thm)],[c289]) ).
cnf(c291,plain,
add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),additive_identity) = add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),associator(add(X3,additive_inverse(additive_inverse(X2))),X3,additive_inverse(X2))),
inference(congruence,[status(thm)],[c290]) ).
cnf(c292,plain,
add(associator(X4,X3,additive_inverse(X2)),associator(X4,X3,X2)) = add(associator(X4,X3,X2),associator(X4,X3,additive_inverse(X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c293,plain,
add(associator(X4,X3,X2),associator(X4,X3,additive_inverse(X2))) = add(associator(X4,X3,additive_inverse(X2)),associator(X4,X3,X2)),
inference(symmetry,[status(thm)],[c292]) ).
cnf(c294,plain,
X2 = additive_inverse(additive_inverse(X2)),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c295,plain,
multiply(X3,X2) = multiply(X3,additive_inverse(additive_inverse(X2))),
inference(congruence,[status(thm)],[c294]) ).
cnf(c296,plain,
multiply(X4,multiply(X3,X2)) = multiply(X4,multiply(X3,additive_inverse(additive_inverse(X2)))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2))) = add(multiply(X4,multiply(X3,additive_inverse(additive_inverse(X2)))),multiply(multiply(X4,X3),additive_inverse(X2))),
inference(congruence,[status(thm)],[c296]) ).
cnf(c298,plain,
add(multiply(X4,multiply(X3,additive_inverse(additive_inverse(X2)))),multiply(multiply(X4,X3),additive_inverse(X2))) = associator(X4,X3,additive_inverse(X2)),
inference(substitution,[status(thm)],[c128]) ).
cnf(c299,plain,
add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2))) = associator(X4,X3,additive_inverse(X2)),
inference(transitivity,[status(thm)],[c297,c298]) ).
cnf(c300,plain,
associator(X4,X3,additive_inverse(X2)) = add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2))),
inference(symmetry,[status(thm)],[c299]) ).
cnf(c301,plain,
additive_inverse(associator(X4,X3,additive_inverse(X2))) = additive_inverse(add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
additive_inverse(add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2)))) = add(additive_inverse(multiply(X4,multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))),
inference(substitution,[status(thm)],[c256]) ).
cnf(c303,plain,
additive_inverse(multiply(X4,multiply(X3,X2))) = multiply(X4,additive_inverse(multiply(X3,X2))),
inference(substitution,[status(thm)],[c116]) ).
cnf(c304,plain,
add(additive_inverse(multiply(X4,multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = add(multiply(X4,additive_inverse(multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
multiply(X4,additive_inverse(multiply(X3,X2))) = multiply(X4,multiply(X3,additive_inverse(X2))),
inference(congruence,[status(thm)],[c116]) ).
cnf(c306,plain,
add(multiply(X4,additive_inverse(multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = add(multiply(X4,multiply(X3,additive_inverse(X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))),
inference(congruence,[status(thm)],[c305]) ).
cnf(c307,plain,
additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2))) = multiply(multiply(X4,X3),X2),
inference(substitution,[status(thm)],[c112]) ).
cnf(c308,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = add(multiply(X4,multiply(X3,additive_inverse(X2))),multiply(multiply(X4,X3),X2)),
inference(congruence,[status(thm)],[c307]) ).
cnf(c309,plain,
add(multiply(X4,multiply(X3,additive_inverse(X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c308,c128]) ).
cnf(c310,plain,
add(multiply(X4,additive_inverse(multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c306,c309]) ).
cnf(c311,plain,
add(additive_inverse(multiply(X4,multiply(X3,X2))),additive_inverse(multiply(multiply(X4,X3),additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c304,c310]) ).
cnf(c312,plain,
additive_inverse(add(multiply(X4,multiply(X3,X2)),multiply(multiply(X4,X3),additive_inverse(X2)))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c302,c311]) ).
cnf(c313,plain,
additive_inverse(associator(X4,X3,additive_inverse(X2))) = associator(X4,X3,X2),
inference(transitivity,[status(thm)],[c301,c312]) ).
cnf(c314,plain,
associator(X4,X3,X2) = additive_inverse(associator(X4,X3,additive_inverse(X2))),
inference(symmetry,[status(thm)],[c313]) ).
cnf(c315,plain,
add(associator(X4,X3,additive_inverse(X2)),associator(X4,X3,X2)) = add(associator(X4,X3,additive_inverse(X2)),additive_inverse(associator(X4,X3,additive_inverse(X2)))),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
add(associator(X4,X3,additive_inverse(X2)),additive_inverse(associator(X4,X3,additive_inverse(X2)))) = additive_identity,
inference(substitution,[status(thm)],[c16]) ).
cnf(c317,plain,
add(associator(X4,X3,additive_inverse(X2)),associator(X4,X3,X2)) = additive_identity,
inference(transitivity,[status(thm)],[c315,c316]) ).
cnf(c318,plain,
add(associator(X4,X3,X2),associator(X4,X3,additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c293,c317]) ).
cnf(c319,plain,
add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),associator(add(X3,additive_inverse(additive_inverse(X2))),X3,additive_inverse(X2))) = additive_identity,
inference(substitution,[status(thm)],[c318]) ).
cnf(c320,plain,
add(associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2),additive_identity) = additive_identity,
inference(transitivity,[status(thm)],[c291,c319]) ).
cnf(c321,plain,
associator(add(X3,additive_inverse(additive_inverse(X2))),X3,X2) = additive_identity,
inference(transitivity,[status(thm)],[c160,c320]) ).
cnf(c322,plain,
associator(add(X3,X2),X3,X2) = additive_identity,
inference(transitivity,[status(thm)],[c158,c321]) ).
cnf(c323,plain,
add(associator(add(X3,X2),X3,X2),multiply(add(X3,X2),multiply(X3,X2))) = add(additive_identity,multiply(add(X3,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
add(additive_identity,multiply(add(X3,X2),multiply(X3,X2))) = multiply(add(X3,X2),multiply(X3,X2)),
inference(substitution,[status(thm)],[c18]) ).
cnf(c325,plain,
add(associator(add(X3,X2),X3,X2),multiply(add(X3,X2),multiply(X3,X2))) = multiply(add(X3,X2),multiply(X3,X2)),
inference(transitivity,[status(thm)],[c323,c324]) ).
cnf(c326,plain,
multiply(multiply(add(X3,X2),X3),X2) = multiply(add(X3,X2),multiply(X3,X2)),
inference(transitivity,[status(thm)],[c155,c325]) ).
cnf(c327,plain,
add(multiply(add(X3,X2),multiply(X3,X3)),multiply(multiply(add(X3,X2),X3),X2)) = add(multiply(add(X3,X2),multiply(X3,X3)),multiply(add(X3,X2),multiply(X3,X2))),
inference(congruence,[status(thm)],[c326]) ).
cnf(c328,plain,
multiply(add(X3,X2),add(multiply(X3,X3),multiply(X3,X2))) = add(multiply(add(X3,X2),multiply(X3,X3)),multiply(add(X3,X2),multiply(X3,X2))),
inference(substitution,[status(thm)],[c52]) ).
cnf(c329,plain,
add(multiply(add(X3,X2),multiply(X3,X3)),multiply(add(X3,X2),multiply(X3,X2))) = multiply(add(X3,X2),add(multiply(X3,X3),multiply(X3,X2))),
inference(symmetry,[status(thm)],[c328]) ).
cnf(c330,plain,
multiply(X3,add(X3,X2)) = add(multiply(X3,X3),multiply(X3,X2)),
inference(substitution,[status(thm)],[c52]) ).
cnf(c331,plain,
add(multiply(X3,X3),multiply(X3,X2)) = multiply(X3,add(X3,X2)),
inference(symmetry,[status(thm)],[c330]) ).
cnf(c332,plain,
multiply(add(X3,X2),add(multiply(X3,X3),multiply(X3,X2))) = multiply(add(X3,X2),multiply(X3,add(X3,X2))),
inference(congruence,[status(thm)],[c331]) ).
cnf(c333,plain,
add(multiply(add(X3,X2),multiply(X3,X3)),multiply(add(X3,X2),multiply(X3,X2))) = multiply(add(X3,X2),multiply(X3,add(X3,X2))),
inference(transitivity,[status(thm)],[c329,c332]) ).
cnf(c334,plain,
add(multiply(add(X3,X2),multiply(X3,X3)),multiply(multiply(add(X3,X2),X3),X2)) = multiply(add(X3,X2),multiply(X3,add(X3,X2))),
inference(transitivity,[status(thm)],[c327,c333]) ).
cnf(c335,plain,
multiply(multiply(add(X3,X2),X3),add(X3,X2)) = multiply(add(X3,X2),multiply(X3,add(X3,X2))),
inference(transitivity,[status(thm)],[c146,c334]) ).
cnf(c336,plain,
multiply(multiply(add(X2,add(X3,additive_inverse(X2))),X2),add(X2,add(X3,additive_inverse(X2)))) = multiply(add(X2,add(X3,additive_inverse(X2))),multiply(X2,add(X2,add(X3,additive_inverse(X2))))),
inference(substitution,[status(thm)],[c335]) ).
cnf(c337,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c338,plain,
multiply(add(X2,add(X3,additive_inverse(X2))),multiply(X2,add(X2,add(X3,additive_inverse(X2))))) = multiply(X3,multiply(X2,add(X2,add(X3,additive_inverse(X2))))),
inference(congruence,[status(thm)],[c337]) ).
cnf(c339,plain,
add(X2,add(X3,additive_inverse(X2))) = X3,
inference(substitution,[status(thm)],[c21]) ).
cnf(c340,plain,
multiply(X2,add(X2,add(X3,additive_inverse(X2)))) = multiply(X2,X3),
inference(congruence,[status(thm)],[c339]) ).
cnf(c341,plain,
multiply(X3,multiply(X2,add(X2,add(X3,additive_inverse(X2))))) = multiply(X3,multiply(X2,X3)),
inference(congruence,[status(thm)],[c340]) ).
cnf(c342,plain,
multiply(add(X2,add(X3,additive_inverse(X2))),multiply(X2,add(X2,add(X3,additive_inverse(X2))))) = multiply(X3,multiply(X2,X3)),
inference(transitivity,[status(thm)],[c338,c341]) ).
cnf(c343,plain,
multiply(multiply(add(X2,add(X3,additive_inverse(X2))),X2),add(X2,add(X3,additive_inverse(X2)))) = multiply(X3,multiply(X2,X3)),
inference(transitivity,[status(thm)],[c336,c342]) ).
cnf(c344,plain,
multiply(multiply(X3,X2),add(X2,add(X3,additive_inverse(X2)))) = multiply(X3,multiply(X2,X3)),
inference(transitivity,[status(thm)],[c137,c343]) ).
cnf(c345,plain,
multiply(multiply(X3,X2),X3) = multiply(X3,multiply(X2,X3)),
inference(transitivity,[status(thm)],[c133,c344]) ).
cnf(c346,plain,
add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(multiply(X3,X2),X3)) = add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(X3,multiply(X2,X3))),
inference(congruence,[status(thm)],[c345]) ).
cnf(c347,plain,
multiply(X3,add(multiply(X2,additive_inverse(X3)),multiply(X2,X3))) = add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(X3,multiply(X2,X3))),
inference(substitution,[status(thm)],[c52]) ).
cnf(c348,plain,
add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(X3,multiply(X2,X3))) = multiply(X3,add(multiply(X2,additive_inverse(X3)),multiply(X2,X3))),
inference(symmetry,[status(thm)],[c347]) ).
cnf(c349,plain,
add(multiply(X2,additive_inverse(X3)),multiply(X2,X3)) = multiply(add(X2,additive_inverse(X2)),additive_inverse(X3)),
inference(substitution,[status(thm)],[c241]) ).
cnf(c350,plain,
multiply(X3,add(multiply(X2,additive_inverse(X3)),multiply(X2,X3))) = multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X3))),
inference(congruence,[status(thm)],[c349]) ).
cnf(c351,plain,
multiply(add(X2,additive_inverse(X2)),additive_inverse(X3)) = multiply(additive_identity,additive_inverse(X3)),
inference(congruence,[status(thm)],[c16]) ).
cnf(c352,plain,
multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X3))) = multiply(X3,multiply(additive_identity,additive_inverse(X3))),
inference(congruence,[status(thm)],[c351]) ).
cnf(c353,plain,
multiply(additive_identity,additive_inverse(X2)) = additive_identity,
inference(substitution,[status(thm)],[c274]) ).
cnf(c354,plain,
multiply(X2,multiply(additive_identity,additive_inverse(X2))) = multiply(X2,additive_identity),
inference(congruence,[status(thm)],[c353]) ).
cnf(c355,plain,
multiply(X2,multiply(additive_identity,additive_inverse(X2))) = additive_identity,
inference(transitivity,[status(thm)],[c354,c82]) ).
cnf(c356,plain,
multiply(X3,multiply(add(X2,additive_inverse(X2)),additive_inverse(X3))) = additive_identity,
inference(transitivity,[status(thm)],[c352,c355]) ).
cnf(c357,plain,
multiply(X3,add(multiply(X2,additive_inverse(X3)),multiply(X2,X3))) = additive_identity,
inference(transitivity,[status(thm)],[c350,c356]) ).
cnf(c358,plain,
add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(X3,multiply(X2,X3))) = additive_identity,
inference(transitivity,[status(thm)],[c348,c357]) ).
cnf(c359,plain,
add(multiply(X3,multiply(X2,additive_inverse(X3))),multiply(multiply(X3,X2),X3)) = additive_identity,
inference(transitivity,[status(thm)],[c346,c358]) ).
cnf(c360,plain,
associator(X3,X2,X3) = additive_identity,
inference(transitivity,[status(thm)],[c130,c359]) ).
cnf(c361,plain,
associator(x,y,x) = additive_identity,
inference(substitution,[status(thm)],[c360]) ).
cnf(c362,plain,
$false,
inference(resolution,[status(thm)],[c1,c361]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG025-6 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 22:59:40 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.44/3.56 Command-line arguments: --no-flatten-goal
% 24.44/3.56
% 24.44/3.56 % SZS status Unsatisfiable
% 24.44/3.56
% 24.44/3.57 % SZS output start CNFRefutation
% See solution above
% 25.19/3.67
% 25.19/3.67 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------