%------------------------------------------------------------------------------
% File : Twee---2.7
% Problem : ROB023-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 12:36:12 PM UTC 2026
% Result : Unsatisfiable 1.79s 0.65s
% Output : CNFRefutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 5
% Syntax : Number of clauses : 397 ( 397 unt; 0 nHn; 5 RR)
% Number of literals : 397 ( 396 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 10 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 578 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c1,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_huntingtons_axiom) ).
cnf(c2,axiom,
add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
cnf(c3,plain,
add(X2,negate(X3)) = add(negate(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c4,plain,
add(negate(X3),X2) = add(X2,negate(X3)),
inference(symmetry,[status(thm)],[c3]) ).
cnf(c5,plain,
negate(add(negate(X3),X2)) = negate(add(X2,negate(X3))),
inference(congruence,[status(thm)],[c4]) ).
cnf(c6,plain,
add(negate(add(X3,X2)),negate(add(negate(X3),X2))) = add(negate(add(X3,X2)),negate(add(X2,negate(X3)))),
inference(congruence,[status(thm)],[c5]) ).
cnf(c7,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c8,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c7]) ).
cnf(c9,plain,
negate(add(X3,X2)) = negate(add(X2,X3)),
inference(congruence,[status(thm)],[c8]) ).
cnf(c10,plain,
add(negate(add(X3,X2)),negate(add(X2,negate(X3)))) = add(negate(add(X2,X3)),negate(add(X2,negate(X3)))),
inference(congruence,[status(thm)],[c9]) ).
cnf(c11,axiom,
add(X2,X2) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).
cnf(c12,plain,
X2 = add(X2,X2),
inference(symmetry,[status(thm)],[c11]) ).
cnf(c13,plain,
negate(X2) = negate(add(X2,X2)),
inference(congruence,[status(thm)],[c12]) ).
cnf(c14,plain,
add(negate(X2),negate(add(X2,negate(X2)))) = add(negate(add(X2,X2)),negate(add(X2,negate(X2)))),
inference(congruence,[status(thm)],[c13]) ).
cnf(c15,plain,
negate(add(negate(X2),negate(add(X2,negate(X2))))) = negate(add(negate(add(X2,X2)),negate(add(X2,negate(X2))))),
inference(congruence,[status(thm)],[c14]) ).
cnf(c16,axiom,
negate(add(negate(add(X2,Y2)),negate(add(X2,negate(Y2))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
cnf(c17,plain,
negate(add(negate(add(X2,X2)),negate(add(X2,negate(X2))))) = X2,
inference(substitution,[status(thm)],[c16]) ).
cnf(c18,plain,
negate(add(negate(X2),negate(add(X2,negate(X2))))) = X2,
inference(transitivity,[status(thm)],[c15,c17]) ).
cnf(c19,plain,
X2 = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c20,plain,
add(X3,X2) = add(X3,negate(add(negate(X2),negate(add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c19]) ).
cnf(c21,plain,
negate(add(X3,X2)) = negate(add(X3,negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c20]) ).
cnf(c22,plain,
add(X3,negate(add(X3,X2))) = add(X3,negate(add(X3,negate(add(negate(X2),negate(add(X2,negate(X2)))))))),
inference(congruence,[status(thm)],[c21]) ).
cnf(c23,plain,
negate(add(negate(add(X3,negate(add(X3,negate(X2))))),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))) = add(X3,negate(add(X3,negate(X2)))),
inference(substitution,[status(thm)],[c18]) ).
cnf(c24,plain,
add(X3,negate(add(X3,negate(X2)))) = negate(add(negate(add(X3,negate(add(X3,negate(X2))))),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))),
inference(symmetry,[status(thm)],[c23]) ).
cnf(c25,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c26,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c25]) ).
cnf(c27,plain,
negate(add(X2,X3)) = negate(add(X3,X2)),
inference(congruence,[status(thm)],[c26]) ).
cnf(c28,plain,
add(negate(X3),negate(add(X2,X3))) = add(negate(X3),negate(add(X3,X2))),
inference(congruence,[status(thm)],[c27]) ).
cnf(c29,plain,
add(negate(add(X3,X2)),negate(X3)) = add(negate(X3),negate(add(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c30,plain,
add(negate(X3),negate(add(X3,X2))) = add(negate(add(X3,X2)),negate(X3)),
inference(symmetry,[status(thm)],[c29]) ).
cnf(c31,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c32,plain,
add(X3,X2) = add(X2,X3),
inference(symmetry,[status(thm)],[c31]) ).
cnf(c33,plain,
negate(add(X3,X2)) = negate(add(X2,X3)),
inference(congruence,[status(thm)],[c32]) ).
cnf(c34,plain,
add(negate(add(X3,X2)),negate(add(X2,negate(X3)))) = add(negate(add(X2,X3)),negate(add(X2,negate(X3)))),
inference(congruence,[status(thm)],[c33]) ).
cnf(c35,plain,
negate(add(negate(add(X3,X2)),negate(add(X2,negate(X3))))) = negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3))))),
inference(congruence,[status(thm)],[c34]) ).
cnf(c36,plain,
negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3))))) = X2,
inference(substitution,[status(thm)],[c16]) ).
cnf(c37,plain,
negate(add(negate(add(X3,X2)),negate(add(X2,negate(X3))))) = X2,
inference(transitivity,[status(thm)],[c35,c36]) ).
cnf(c38,plain,
negate(add(negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))) = add(negate(X2),negate(add(X2,negate(X2)))),
inference(substitution,[status(thm)],[c37]) ).
cnf(c39,plain,
add(negate(X2),negate(add(X2,negate(X2)))) = negate(add(negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))),
inference(symmetry,[status(thm)],[c38]) ).
cnf(c40,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c41,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c40]) ).
cnf(c42,plain,
add(X3,add(X2,X3)) = add(X3,add(X3,X2)),
inference(congruence,[status(thm)],[c41]) ).
cnf(c43,axiom,
add(add(X2,Y2),Z) = add(X2,add(Y2,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
cnf(c44,plain,
add(add(X3,X3),X2) = add(X3,add(X3,X2)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c45,plain,
add(X3,add(X3,X2)) = add(add(X3,X3),X2),
inference(symmetry,[status(thm)],[c44]) ).
cnf(c46,plain,
add(add(X3,X3),X2) = add(X3,X2),
inference(congruence,[status(thm)],[c11]) ).
cnf(c47,plain,
add(X3,add(X3,X2)) = add(X3,X2),
inference(transitivity,[status(thm)],[c45,c46]) ).
cnf(c48,plain,
add(X3,add(X2,X3)) = add(X3,X2),
inference(transitivity,[status(thm)],[c42,c47]) ).
cnf(c49,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))) = add(negate(X2),negate(add(X2,negate(X2)))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c50,plain,
add(negate(X2),negate(add(X2,negate(X2)))) = add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))),
inference(symmetry,[status(thm)],[c49]) ).
cnf(c51,plain,
add(X2,add(negate(X2),negate(add(X2,negate(X2))))) = add(X2,add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))),
inference(congruence,[status(thm)],[c50]) ).
cnf(c52,plain,
add(add(X3,X4),X2) = add(X2,add(X3,X4)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c53,plain,
add(X3,add(X4,X2)) = add(add(X4,X2),X3),
inference(symmetry,[status(thm)],[c52]) ).
cnf(c54,plain,
add(add(X4,X2),X3) = add(X4,add(X2,X3)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c55,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c56,plain,
add(X4,add(X2,X3)) = add(X4,add(X3,X2)),
inference(congruence,[status(thm)],[c55]) ).
cnf(c57,plain,
add(add(X4,X2),X3) = add(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c54,c56]) ).
cnf(c58,plain,
add(X3,add(X4,X2)) = add(X4,add(X3,X2)),
inference(transitivity,[status(thm)],[c53,c57]) ).
cnf(c59,plain,
add(X2,add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))) = add(negate(X2),add(X2,add(negate(add(X2,negate(X2))),negate(X2)))),
inference(substitution,[status(thm)],[c58]) ).
cnf(c60,plain,
add(X2,add(negate(add(X2,negate(X2))),negate(X2))) = add(negate(add(X2,negate(X2))),add(X2,negate(X2))),
inference(substitution,[status(thm)],[c58]) ).
cnf(c61,plain,
add(negate(X2),add(X2,add(negate(add(X2,negate(X2))),negate(X2)))) = add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(X2)))),
inference(congruence,[status(thm)],[c60]) ).
cnf(c62,plain,
X2 = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c63,plain,
negate(X2) = negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c62]) ).
cnf(c64,plain,
add(X2,negate(X2)) = add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c63]) ).
cnf(c65,plain,
add(negate(add(X2,negate(X2))),add(X2,negate(X2))) = add(negate(add(X2,negate(X2))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))),
inference(congruence,[status(thm)],[c64]) ).
cnf(c66,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(X2)))) = add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))))),
inference(congruence,[status(thm)],[c65]) ).
cnf(c67,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c68,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))))) = add(add(negate(X2),negate(add(X2,negate(X2)))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))),
inference(symmetry,[status(thm)],[c67]) ).
cnf(c69,plain,
X2 = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c70,plain,
add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))) = add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c69]) ).
cnf(c71,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(add(negate(X2),negate(add(X2,negate(X2)))),add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))),
inference(congruence,[status(thm)],[c70]) ).
cnf(c72,plain,
add(negate(X3),X2) = add(X2,negate(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c73,plain,
add(X2,negate(X3)) = add(negate(X3),X2),
inference(symmetry,[status(thm)],[c72]) ).
cnf(c74,plain,
add(X3,add(X2,negate(X3))) = add(X3,add(negate(X3),X2)),
inference(congruence,[status(thm)],[c73]) ).
cnf(c75,plain,
negate(add(X3,add(X2,negate(X3)))) = negate(add(X3,add(negate(X3),X2))),
inference(congruence,[status(thm)],[c74]) ).
cnf(c76,plain,
add(negate(add(X3,X2)),negate(add(X3,add(X2,negate(X3))))) = add(negate(add(X3,X2)),negate(add(X3,add(negate(X3),X2)))),
inference(congruence,[status(thm)],[c75]) ).
cnf(c77,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,add(X2,negate(X3)))))) = negate(add(negate(add(X3,X2)),negate(add(X3,add(negate(X3),X2))))),
inference(congruence,[status(thm)],[c76]) ).
cnf(c78,plain,
add(X3,add(negate(X3),X2)) = add(negate(X3),add(X3,X2)),
inference(substitution,[status(thm)],[c58]) ).
cnf(c79,plain,
negate(add(X3,add(negate(X3),X2))) = negate(add(negate(X3),add(X3,X2))),
inference(congruence,[status(thm)],[c78]) ).
cnf(c80,plain,
add(negate(add(X3,X2)),negate(add(X3,add(negate(X3),X2)))) = add(negate(add(X3,X2)),negate(add(negate(X3),add(X3,X2)))),
inference(congruence,[status(thm)],[c79]) ).
cnf(c81,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,add(negate(X3),X2))))) = negate(add(negate(add(X3,X2)),negate(add(negate(X3),add(X3,X2))))),
inference(congruence,[status(thm)],[c80]) ).
cnf(c82,plain,
add(X3,X2) = add(X3,add(X3,X2)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c83,plain,
negate(add(X3,X2)) = negate(add(X3,add(X3,X2))),
inference(congruence,[status(thm)],[c82]) ).
cnf(c84,plain,
add(negate(add(X3,X2)),negate(add(negate(X3),add(X3,X2)))) = add(negate(add(X3,add(X3,X2))),negate(add(negate(X3),add(X3,X2)))),
inference(congruence,[status(thm)],[c83]) ).
cnf(c85,plain,
negate(add(negate(add(X3,X2)),negate(add(negate(X3),add(X3,X2))))) = negate(add(negate(add(X3,add(X3,X2))),negate(add(negate(X3),add(X3,X2))))),
inference(congruence,[status(thm)],[c84]) ).
cnf(c86,plain,
add(X2,negate(X3)) = add(negate(X3),X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c87,plain,
add(negate(X3),X2) = add(X2,negate(X3)),
inference(symmetry,[status(thm)],[c86]) ).
cnf(c88,plain,
negate(add(negate(X3),X2)) = negate(add(X2,negate(X3))),
inference(congruence,[status(thm)],[c87]) ).
cnf(c89,plain,
add(negate(add(X3,X2)),negate(add(negate(X3),X2))) = add(negate(add(X3,X2)),negate(add(X2,negate(X3)))),
inference(congruence,[status(thm)],[c88]) ).
cnf(c90,plain,
negate(add(negate(add(X3,X2)),negate(add(negate(X3),X2)))) = negate(add(negate(add(X3,X2)),negate(add(X2,negate(X3))))),
inference(congruence,[status(thm)],[c89]) ).
cnf(c91,plain,
negate(add(negate(add(X3,X2)),negate(add(negate(X3),X2)))) = X2,
inference(transitivity,[status(thm)],[c90,c37]) ).
cnf(c92,plain,
negate(add(negate(add(X3,add(X3,X2))),negate(add(negate(X3),add(X3,X2))))) = add(X3,X2),
inference(substitution,[status(thm)],[c91]) ).
cnf(c93,plain,
negate(add(negate(add(X3,X2)),negate(add(negate(X3),add(X3,X2))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c85,c92]) ).
cnf(c94,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,add(negate(X3),X2))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c81,c93]) ).
cnf(c95,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,add(X2,negate(X3)))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c77,c94]) ).
cnf(c96,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))) = add(X2,add(negate(X2),negate(negate(X2)))),
inference(substitution,[status(thm)],[c95]) ).
cnf(c97,plain,
add(X2,add(negate(X2),negate(negate(X2)))) = negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))),
inference(symmetry,[status(thm)],[c96]) ).
cnf(c98,plain,
negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))))) = negate(add(X2,add(negate(X2),negate(negate(X2))))),
inference(substitution,[status(thm)],[c91]) ).
cnf(c99,plain,
negate(add(X2,add(negate(X2),negate(negate(X2))))) = negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))))),
inference(symmetry,[status(thm)],[c98]) ).
cnf(c100,plain,
add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2))) = add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2)))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c101,plain,
add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2)))))) = add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2))),
inference(symmetry,[status(thm)],[c100]) ).
cnf(c102,plain,
negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2)))),
inference(congruence,[status(thm)],[c101]) ).
cnf(c103,plain,
add(negate(X2),add(negate(negate(X2)),negate(X2))) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c104,plain,
add(negate(X2),negate(negate(X2))) = add(negate(X2),add(negate(negate(X2)),negate(X2))),
inference(symmetry,[status(thm)],[c103]) ).
cnf(c105,plain,
add(X2,add(negate(X2),negate(negate(X2)))) = add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))),
inference(congruence,[status(thm)],[c104]) ).
cnf(c106,plain,
negate(add(X2,add(negate(X2),negate(negate(X2))))) = negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),
inference(congruence,[status(thm)],[c105]) ).
cnf(c107,plain,
add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2))) = add(negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),negate(negate(X2))),
inference(congruence,[status(thm)],[c106]) ).
cnf(c108,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2)))) = negate(add(negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),negate(negate(X2)))),
inference(congruence,[status(thm)],[c107]) ).
cnf(c109,plain,
add(add(negate(X2),negate(negate(X2))),negate(X2)) = add(negate(X2),add(negate(negate(X2)),negate(X2))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c110,plain,
add(negate(X2),add(negate(negate(X2)),negate(X2))) = add(add(negate(X2),negate(negate(X2))),negate(X2)),
inference(symmetry,[status(thm)],[c109]) ).
cnf(c111,plain,
add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))) = add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))),
inference(congruence,[status(thm)],[c110]) ).
cnf(c112,plain,
negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))) = negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),
inference(congruence,[status(thm)],[c111]) ).
cnf(c113,plain,
add(negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),negate(negate(X2))) = add(negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),negate(negate(X2))),
inference(congruence,[status(thm)],[c112]) ).
cnf(c114,plain,
negate(add(negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),negate(negate(X2)))) = negate(add(negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),negate(negate(X2)))),
inference(congruence,[status(thm)],[c113]) ).
cnf(c115,plain,
add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2)) = add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c116,plain,
add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))) = add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2)),
inference(symmetry,[status(thm)],[c115]) ).
cnf(c117,plain,
negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))) = negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),
inference(congruence,[status(thm)],[c116]) ).
cnf(c118,plain,
add(negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),negate(negate(X2))) = add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(negate(X2))),
inference(congruence,[status(thm)],[c117]) ).
cnf(c119,plain,
negate(add(negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),negate(negate(X2)))) = negate(add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(negate(X2)))),
inference(congruence,[status(thm)],[c118]) ).
cnf(c120,plain,
add(negate(negate(X2)),negate(X2)) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c121,plain,
add(negate(X2),negate(negate(X2))) = add(negate(negate(X2)),negate(X2)),
inference(symmetry,[status(thm)],[c120]) ).
cnf(c122,plain,
add(X2,add(negate(X2),negate(negate(X2)))) = add(X2,add(negate(negate(X2)),negate(X2))),
inference(congruence,[status(thm)],[c121]) ).
cnf(c123,plain,
negate(add(X2,add(negate(X2),negate(negate(X2))))) = negate(add(X2,add(negate(negate(X2)),negate(X2)))),
inference(congruence,[status(thm)],[c122]) ).
cnf(c124,plain,
add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2)))))) = add(negate(X2),negate(add(X2,add(negate(negate(X2)),negate(X2))))),
inference(congruence,[status(thm)],[c123]) ).
cnf(c125,plain,
negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = negate(add(negate(X2),negate(add(X2,add(negate(negate(X2)),negate(X2)))))),
inference(congruence,[status(thm)],[c124]) ).
cnf(c126,plain,
add(X2,add(negate(negate(X2)),negate(X2))) = add(negate(negate(X2)),add(X2,negate(X2))),
inference(substitution,[status(thm)],[c58]) ).
cnf(c127,plain,
negate(add(X2,add(negate(negate(X2)),negate(X2)))) = negate(add(negate(negate(X2)),add(X2,negate(X2)))),
inference(congruence,[status(thm)],[c126]) ).
cnf(c128,plain,
add(negate(X2),negate(add(X2,add(negate(negate(X2)),negate(X2))))) = add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2))))),
inference(congruence,[status(thm)],[c127]) ).
cnf(c129,plain,
negate(add(negate(X2),negate(add(X2,add(negate(negate(X2)),negate(X2)))))) = negate(add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c128]) ).
cnf(c130,plain,
add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2)) = add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c131,plain,
add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2))))) = add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2)),
inference(symmetry,[status(thm)],[c130]) ).
cnf(c132,plain,
negate(add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2)))))) = negate(add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2))),
inference(congruence,[status(thm)],[c131]) ).
cnf(c133,plain,
add(negate(X2),X2) = add(X2,negate(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c134,plain,
add(X2,negate(X2)) = add(negate(X2),X2),
inference(symmetry,[status(thm)],[c133]) ).
cnf(c135,plain,
negate(add(X2,negate(X2))) = negate(add(negate(X2),X2)),
inference(congruence,[status(thm)],[c134]) ).
cnf(c136,plain,
add(negate(negate(X2)),negate(add(X2,negate(X2)))) = add(negate(negate(X2)),negate(add(negate(X2),X2))),
inference(congruence,[status(thm)],[c135]) ).
cnf(c137,plain,
negate(add(negate(negate(X2)),negate(add(X2,negate(X2))))) = negate(add(negate(negate(X2)),negate(add(negate(X2),X2)))),
inference(congruence,[status(thm)],[c136]) ).
cnf(c138,plain,
add(negate(add(negate(X2),X2)),negate(negate(X2))) = add(negate(negate(X2)),negate(add(negate(X2),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c139,plain,
add(negate(negate(X2)),negate(add(negate(X2),X2))) = add(negate(add(negate(X2),X2)),negate(negate(X2))),
inference(symmetry,[status(thm)],[c138]) ).
cnf(c140,plain,
negate(add(negate(negate(X2)),negate(add(negate(X2),X2)))) = negate(add(negate(add(negate(X2),X2)),negate(negate(X2)))),
inference(congruence,[status(thm)],[c139]) ).
cnf(c141,plain,
add(negate(X2),negate(X2)) = negate(X2),
inference(substitution,[status(thm)],[c11]) ).
cnf(c142,plain,
negate(X2) = add(negate(X2),negate(X2)),
inference(symmetry,[status(thm)],[c141]) ).
cnf(c143,plain,
negate(negate(X2)) = negate(add(negate(X2),negate(X2))),
inference(congruence,[status(thm)],[c142]) ).
cnf(c144,plain,
add(negate(add(negate(X2),X2)),negate(negate(X2))) = add(negate(add(negate(X2),X2)),negate(add(negate(X2),negate(X2)))),
inference(congruence,[status(thm)],[c143]) ).
cnf(c145,plain,
negate(add(negate(add(negate(X2),X2)),negate(negate(X2)))) = negate(add(negate(add(negate(X2),X2)),negate(add(negate(X2),negate(X2))))),
inference(congruence,[status(thm)],[c144]) ).
cnf(c146,plain,
negate(add(negate(add(negate(X2),X2)),negate(add(negate(X2),negate(X2))))) = negate(X2),
inference(substitution,[status(thm)],[c16]) ).
cnf(c147,plain,
negate(add(negate(add(negate(X2),X2)),negate(negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c145,c146]) ).
cnf(c148,plain,
negate(add(negate(negate(X2)),negate(add(negate(X2),X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c140,c147]) ).
cnf(c149,plain,
negate(add(negate(negate(X2)),negate(add(X2,negate(X2))))) = negate(X2),
inference(transitivity,[status(thm)],[c137,c148]) ).
cnf(c150,plain,
negate(X2) = negate(add(negate(negate(X2)),negate(add(X2,negate(X2))))),
inference(symmetry,[status(thm)],[c149]) ).
cnf(c151,plain,
add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2)) = add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(add(negate(negate(X2)),negate(add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c150]) ).
cnf(c152,plain,
negate(add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2))) = negate(add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(add(negate(negate(X2)),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c151]) ).
cnf(c153,plain,
negate(add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(add(negate(negate(X2)),negate(add(X2,negate(X2))))))) = negate(negate(X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c154,plain,
negate(add(negate(add(negate(negate(X2)),add(X2,negate(X2)))),negate(X2))) = negate(negate(X2)),
inference(transitivity,[status(thm)],[c152,c153]) ).
cnf(c155,plain,
negate(add(negate(X2),negate(add(negate(negate(X2)),add(X2,negate(X2)))))) = negate(negate(X2)),
inference(transitivity,[status(thm)],[c132,c154]) ).
cnf(c156,plain,
negate(add(negate(X2),negate(add(X2,add(negate(negate(X2)),negate(X2)))))) = negate(negate(X2)),
inference(transitivity,[status(thm)],[c129,c155]) ).
cnf(c157,plain,
negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = negate(negate(X2)),
inference(transitivity,[status(thm)],[c125,c156]) ).
cnf(c158,plain,
negate(negate(X2)) = negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),
inference(symmetry,[status(thm)],[c157]) ).
cnf(c159,plain,
add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(negate(X2))) = add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2)))))))),
inference(congruence,[status(thm)],[c158]) ).
cnf(c160,plain,
negate(add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(negate(X2)))) = negate(add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))))),
inference(congruence,[status(thm)],[c159]) ).
cnf(c161,plain,
negate(add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))))) = negate(X2),
inference(substitution,[status(thm)],[c37]) ).
cnf(c162,plain,
negate(add(negate(add(add(X2,add(negate(X2),negate(negate(X2)))),negate(X2))),negate(negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c160,c161]) ).
cnf(c163,plain,
negate(add(negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))),negate(negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c119,c162]) ).
cnf(c164,plain,
negate(add(negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),negate(negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c114,c163]) ).
cnf(c165,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c108,c164]) ).
cnf(c166,plain,
negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = negate(X2),
inference(transitivity,[status(thm)],[c102,c165]) ).
cnf(c167,plain,
add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2)))))))) = add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(X2)),
inference(congruence,[status(thm)],[c166]) ).
cnf(c168,plain,
negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))))) = negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(X2))),
inference(congruence,[status(thm)],[c167]) ).
cnf(c169,plain,
add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(X2)) = add(negate(negate(X2)),negate(X2)),
inference(congruence,[status(thm)],[c157]) ).
cnf(c170,plain,
negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(X2))) = negate(add(negate(negate(X2)),negate(X2))),
inference(congruence,[status(thm)],[c169]) ).
cnf(c171,plain,
add(negate(negate(X2)),negate(X2)) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c172,plain,
negate(add(negate(negate(X2)),negate(X2))) = negate(add(negate(X2),negate(negate(X2)))),
inference(congruence,[status(thm)],[c171]) ).
cnf(c173,plain,
negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(X2))) = negate(add(negate(X2),negate(negate(X2)))),
inference(transitivity,[status(thm)],[c170,c172]) ).
cnf(c174,plain,
negate(add(negate(add(negate(X2),negate(add(X2,add(negate(X2),negate(negate(X2))))))),negate(add(negate(negate(X2)),negate(add(X2,add(negate(X2),negate(negate(X2))))))))) = negate(add(negate(X2),negate(negate(X2)))),
inference(transitivity,[status(thm)],[c168,c173]) ).
cnf(c175,plain,
negate(add(X2,add(negate(X2),negate(negate(X2))))) = negate(add(negate(X2),negate(negate(X2)))),
inference(transitivity,[status(thm)],[c99,c174]) ).
cnf(c176,plain,
add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c177,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))),
inference(congruence,[status(thm)],[c176]) ).
cnf(c178,plain,
add(add(negate(X2),negate(negate(X2))),negate(X2)) = add(negate(X2),add(negate(negate(X2)),negate(X2))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c179,plain,
add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))) = add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))),
inference(congruence,[status(thm)],[c178]) ).
cnf(c180,plain,
negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))) = negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))),
inference(congruence,[status(thm)],[c179]) ).
cnf(c181,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))))),
inference(congruence,[status(thm)],[c180]) ).
cnf(c182,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))))),
inference(congruence,[status(thm)],[c181]) ).
cnf(c183,plain,
add(negate(X2),add(negate(negate(X2)),negate(X2))) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c184,plain,
add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))) = add(X2,add(negate(X2),negate(negate(X2)))),
inference(congruence,[status(thm)],[c183]) ).
cnf(c185,plain,
negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))) = negate(add(X2,add(negate(X2),negate(negate(X2))))),
inference(congruence,[status(thm)],[c184]) ).
cnf(c186,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2)))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),negate(negate(X2)))))),
inference(congruence,[status(thm)],[c185]) ).
cnf(c187,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),negate(negate(X2))))))),
inference(congruence,[status(thm)],[c186]) ).
cnf(c188,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),negate(negate(X2)))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2))))),
inference(congruence,[status(thm)],[c175]) ).
cnf(c189,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))),
inference(congruence,[status(thm)],[c188]) ).
cnf(c190,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2))))) = negate(add(negate(X2),negate(negate(X2)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c191,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))) = negate(negate(add(negate(X2),negate(negate(X2))))),
inference(congruence,[status(thm)],[c190]) ).
cnf(c192,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2))))) = negate(add(negate(X2),negate(negate(X2)))),
inference(substitution,[status(thm)],[c11]) ).
cnf(c193,plain,
negate(add(negate(X2),negate(negate(X2)))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2))))),
inference(symmetry,[status(thm)],[c192]) ).
cnf(c194,plain,
negate(negate(add(negate(X2),negate(negate(X2))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))),
inference(congruence,[status(thm)],[c193]) ).
cnf(c195,plain,
add(negate(X2),add(negate(negate(X2)),negate(X2))) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c196,plain,
add(negate(X2),negate(negate(X2))) = add(negate(X2),add(negate(negate(X2)),negate(X2))),
inference(symmetry,[status(thm)],[c195]) ).
cnf(c197,plain,
negate(add(negate(X2),negate(negate(X2)))) = negate(add(negate(X2),add(negate(negate(X2)),negate(X2)))),
inference(congruence,[status(thm)],[c196]) ).
cnf(c198,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),add(negate(negate(X2)),negate(X2))))),
inference(congruence,[status(thm)],[c197]) ).
cnf(c199,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),add(negate(negate(X2)),negate(X2)))))),
inference(congruence,[status(thm)],[c198]) ).
cnf(c200,plain,
add(add(negate(X2),negate(negate(X2))),negate(X2)) = add(negate(X2),add(negate(negate(X2)),negate(X2))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c201,plain,
add(negate(X2),add(negate(negate(X2)),negate(X2))) = add(add(negate(X2),negate(negate(X2))),negate(X2)),
inference(symmetry,[status(thm)],[c200]) ).
cnf(c202,plain,
negate(add(negate(X2),add(negate(negate(X2)),negate(X2)))) = negate(add(add(negate(X2),negate(negate(X2))),negate(X2))),
inference(congruence,[status(thm)],[c201]) ).
cnf(c203,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),add(negate(negate(X2)),negate(X2))))) = add(negate(add(negate(X2),negate(negate(X2)))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2)))),
inference(congruence,[status(thm)],[c202]) ).
cnf(c204,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),add(negate(negate(X2)),negate(X2)))))) = negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2))))),
inference(congruence,[status(thm)],[c203]) ).
cnf(c205,plain,
negate(add(negate(X2),negate(negate(X2)))) = negate(add(X2,add(negate(X2),negate(negate(X2))))),
inference(symmetry,[status(thm)],[c175]) ).
cnf(c206,plain,
add(negate(add(negate(X2),negate(negate(X2)))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2)))) = add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2)))),
inference(congruence,[status(thm)],[c205]) ).
cnf(c207,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2))))) = negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2))))),
inference(congruence,[status(thm)],[c206]) ).
cnf(c208,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2))))) = add(negate(X2),negate(negate(X2))),
inference(substitution,[status(thm)],[c37]) ).
cnf(c209,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(add(negate(X2),negate(negate(X2))),negate(X2))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c207,c208]) ).
cnf(c210,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),add(negate(negate(X2)),negate(X2)))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c204,c209]) ).
cnf(c211,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c199,c210]) ).
cnf(c212,plain,
negate(negate(add(negate(X2),negate(negate(X2))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c194,c211]) ).
cnf(c213,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(negate(X2),negate(negate(X2)))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c191,c212]) ).
cnf(c214,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),negate(negate(X2))))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c189,c213]) ).
cnf(c215,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(negate(X2),add(negate(negate(X2)),negate(X2))))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c187,c214]) ).
cnf(c216,plain,
negate(add(negate(add(negate(X2),negate(negate(X2)))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c182,c215]) ).
cnf(c217,plain,
negate(add(negate(add(X2,add(negate(X2),negate(negate(X2))))),negate(add(X2,add(add(negate(X2),negate(negate(X2))),negate(X2)))))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c177,c216]) ).
cnf(c218,plain,
add(X2,add(negate(X2),negate(negate(X2)))) = add(negate(X2),negate(negate(X2))),
inference(transitivity,[status(thm)],[c97,c217]) ).
cnf(c219,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(substitution,[status(thm)],[c218]) ).
cnf(c220,plain,
add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))) = add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c18]) ).
cnf(c221,plain,
negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))) = negate(X2),
inference(congruence,[status(thm)],[c18]) ).
cnf(c222,plain,
add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))) = add(X2,negate(X2)),
inference(congruence,[status(thm)],[c221]) ).
cnf(c223,plain,
add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c220,c222]) ).
cnf(c224,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),add(negate(add(negate(X2),negate(add(X2,negate(X2))))),negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c219,c223]) ).
cnf(c225,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c71,c224]) ).
cnf(c226,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(negate(add(negate(X2),negate(add(X2,negate(X2))))))))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c68,c225]) ).
cnf(c227,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),add(X2,negate(X2)))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c66,c226]) ).
cnf(c228,plain,
add(negate(X2),add(X2,add(negate(add(X2,negate(X2))),negate(X2)))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c61,c227]) ).
cnf(c229,plain,
add(X2,add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c59,c228]) ).
cnf(c230,plain,
add(X2,add(negate(X2),negate(add(X2,negate(X2))))) = add(X2,negate(X2)),
inference(transitivity,[status(thm)],[c51,c229]) ).
cnf(c231,plain,
negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))) = negate(add(X2,negate(X2))),
inference(congruence,[status(thm)],[c230]) ).
cnf(c232,plain,
add(negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2)))) = add(negate(add(X2,negate(X2))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2)))),
inference(congruence,[status(thm)],[c231]) ).
cnf(c233,plain,
negate(add(negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))) = negate(add(negate(add(X2,negate(X2))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))),
inference(congruence,[status(thm)],[c232]) ).
cnf(c234,plain,
add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2)) = add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))),
inference(substitution,[status(thm)],[c43]) ).
cnf(c235,plain,
negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))) = negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))),
inference(congruence,[status(thm)],[c234]) ).
cnf(c236,plain,
add(negate(add(X2,negate(X2))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2)))) = add(negate(add(X2,negate(X2))),negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))))),
inference(congruence,[status(thm)],[c235]) ).
cnf(c237,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))) = negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))))),
inference(congruence,[status(thm)],[c236]) ).
cnf(c238,plain,
add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))) = add(negate(X2),negate(add(X2,negate(X2)))),
inference(substitution,[status(thm)],[c48]) ).
cnf(c239,plain,
negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))) = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(congruence,[status(thm)],[c238]) ).
cnf(c240,plain,
add(negate(add(X2,negate(X2))),negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2))))) = add(negate(add(X2,negate(X2))),negate(add(negate(X2),negate(add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c239]) ).
cnf(c241,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))))) = negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c240]) ).
cnf(c242,plain,
add(negate(add(X2,negate(X2))),negate(add(negate(X2),negate(add(X2,negate(X2)))))) = add(negate(add(X2,negate(X2))),X2),
inference(congruence,[status(thm)],[c18]) ).
cnf(c243,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),negate(add(X2,negate(X2))))))) = negate(add(negate(add(X2,negate(X2))),X2)),
inference(congruence,[status(thm)],[c242]) ).
cnf(c244,plain,
add(negate(add(X2,negate(X2))),X2) = add(X2,negate(add(X2,negate(X2)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c245,plain,
negate(add(negate(add(X2,negate(X2))),X2)) = negate(add(X2,negate(add(X2,negate(X2))))),
inference(congruence,[status(thm)],[c244]) ).
cnf(c246,plain,
add(negate(X2),X2) = add(X2,negate(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c247,plain,
add(X2,negate(X2)) = add(negate(X2),X2),
inference(symmetry,[status(thm)],[c246]) ).
cnf(c248,plain,
negate(add(X2,negate(X2))) = negate(add(negate(X2),X2)),
inference(congruence,[status(thm)],[c247]) ).
cnf(c249,plain,
add(X2,negate(add(X2,negate(X2)))) = add(X2,negate(add(negate(X2),X2))),
inference(congruence,[status(thm)],[c248]) ).
cnf(c250,plain,
negate(add(X2,negate(add(X2,negate(X2))))) = negate(add(X2,negate(add(negate(X2),X2)))),
inference(congruence,[status(thm)],[c249]) ).
cnf(c251,plain,
add(negate(add(negate(X2),X2)),X2) = add(X2,negate(add(negate(X2),X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c252,plain,
add(X2,negate(add(negate(X2),X2))) = add(negate(add(negate(X2),X2)),X2),
inference(symmetry,[status(thm)],[c251]) ).
cnf(c253,plain,
negate(add(X2,negate(add(negate(X2),X2)))) = negate(add(negate(add(negate(X2),X2)),X2)),
inference(congruence,[status(thm)],[c252]) ).
cnf(c254,plain,
add(negate(X2),add(X2,negate(X2))) = add(negate(X2),X2),
inference(substitution,[status(thm)],[c48]) ).
cnf(c255,plain,
add(negate(X2),X2) = add(negate(X2),add(X2,negate(X2))),
inference(symmetry,[status(thm)],[c254]) ).
cnf(c256,plain,
negate(add(negate(X2),X2)) = negate(add(negate(X2),add(X2,negate(X2)))),
inference(congruence,[status(thm)],[c255]) ).
cnf(c257,plain,
add(negate(add(negate(X2),X2)),X2) = add(negate(add(negate(X2),add(X2,negate(X2)))),X2),
inference(congruence,[status(thm)],[c256]) ).
cnf(c258,plain,
negate(add(negate(add(negate(X2),X2)),X2)) = negate(add(negate(add(negate(X2),add(X2,negate(X2)))),X2)),
inference(congruence,[status(thm)],[c257]) ).
cnf(c259,plain,
X2 = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(symmetry,[status(thm)],[c18]) ).
cnf(c260,plain,
add(negate(add(negate(X2),add(X2,negate(X2)))),X2) = add(negate(add(negate(X2),add(X2,negate(X2)))),negate(add(negate(X2),negate(add(X2,negate(X2)))))),
inference(congruence,[status(thm)],[c259]) ).
cnf(c261,plain,
negate(add(negate(add(negate(X2),add(X2,negate(X2)))),X2)) = negate(add(negate(add(negate(X2),add(X2,negate(X2)))),negate(add(negate(X2),negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c260]) ).
cnf(c262,plain,
negate(add(negate(add(negate(X2),add(X2,negate(X2)))),negate(add(negate(X2),negate(add(X2,negate(X2))))))) = negate(X2),
inference(substitution,[status(thm)],[c16]) ).
cnf(c263,plain,
negate(add(negate(add(negate(X2),add(X2,negate(X2)))),X2)) = negate(X2),
inference(transitivity,[status(thm)],[c261,c262]) ).
cnf(c264,plain,
negate(add(negate(add(negate(X2),X2)),X2)) = negate(X2),
inference(transitivity,[status(thm)],[c258,c263]) ).
cnf(c265,plain,
negate(add(X2,negate(add(negate(X2),X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c253,c264]) ).
cnf(c266,plain,
negate(add(X2,negate(add(X2,negate(X2))))) = negate(X2),
inference(transitivity,[status(thm)],[c250,c265]) ).
cnf(c267,plain,
negate(add(negate(add(X2,negate(X2))),X2)) = negate(X2),
inference(transitivity,[status(thm)],[c245,c266]) ).
cnf(c268,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),negate(add(X2,negate(X2))))))) = negate(X2),
inference(transitivity,[status(thm)],[c243,c267]) ).
cnf(c269,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(negate(X2),add(negate(add(X2,negate(X2))),negate(X2)))))) = negate(X2),
inference(transitivity,[status(thm)],[c241,c268]) ).
cnf(c270,plain,
negate(add(negate(add(X2,negate(X2))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))) = negate(X2),
inference(transitivity,[status(thm)],[c237,c269]) ).
cnf(c271,plain,
negate(add(negate(add(X2,add(negate(X2),negate(add(X2,negate(X2)))))),negate(add(add(negate(X2),negate(add(X2,negate(X2)))),negate(X2))))) = negate(X2),
inference(transitivity,[status(thm)],[c233,c270]) ).
cnf(c272,plain,
add(negate(X2),negate(add(X2,negate(X2)))) = negate(X2),
inference(transitivity,[status(thm)],[c39,c271]) ).
cnf(c273,plain,
negate(X2) = add(negate(X2),negate(add(X2,negate(X2)))),
inference(symmetry,[status(thm)],[c272]) ).
cnf(c274,plain,
negate(negate(X2)) = negate(add(negate(X2),negate(add(X2,negate(X2))))),
inference(congruence,[status(thm)],[c273]) ).
cnf(c275,plain,
negate(negate(X2)) = X2,
inference(transitivity,[status(thm)],[c274,c18]) ).
cnf(c276,plain,
negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))))) = add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))),
inference(substitution,[status(thm)],[c275]) ).
cnf(c277,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))) = negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))))),
inference(symmetry,[status(thm)],[c276]) ).
cnf(c278,plain,
add(X3,X2) = add(X3,add(X3,X2)),
inference(symmetry,[status(thm)],[c47]) ).
cnf(c279,plain,
negate(add(X3,X2)) = negate(add(X3,add(X3,X2))),
inference(congruence,[status(thm)],[c278]) ).
cnf(c280,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))) = add(negate(add(X3,add(X3,X2))),negate(add(X3,negate(add(X3,X2))))),
inference(congruence,[status(thm)],[c279]) ).
cnf(c281,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2)))))) = negate(add(negate(add(X3,add(X3,X2))),negate(add(X3,negate(add(X3,X2)))))),
inference(congruence,[status(thm)],[c280]) ).
cnf(c282,plain,
negate(add(negate(add(X3,add(X3,X2))),negate(add(X3,negate(add(X3,X2)))))) = X3,
inference(substitution,[status(thm)],[c16]) ).
cnf(c283,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2)))))) = X3,
inference(transitivity,[status(thm)],[c281,c282]) ).
cnf(c284,plain,
negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))))) = negate(X3),
inference(congruence,[status(thm)],[c283]) ).
cnf(c285,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))) = negate(X3),
inference(transitivity,[status(thm)],[c277,c284]) ).
cnf(c286,plain,
negate(X3) = add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))),
inference(symmetry,[status(thm)],[c285]) ).
cnf(c287,plain,
add(negate(add(X3,X2)),negate(X3)) = add(negate(add(X3,X2)),add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2)))))),
inference(congruence,[status(thm)],[c286]) ).
cnf(c288,plain,
add(negate(add(X3,X2)),add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2)))))) = add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))),
inference(substitution,[status(thm)],[c47]) ).
cnf(c289,plain,
add(negate(add(X3,X2)),add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2)))))) = negate(X3),
inference(transitivity,[status(thm)],[c288,c285]) ).
cnf(c290,plain,
add(negate(add(X3,X2)),negate(X3)) = negate(X3),
inference(transitivity,[status(thm)],[c287,c289]) ).
cnf(c291,plain,
add(negate(X3),negate(add(X3,X2))) = negate(X3),
inference(transitivity,[status(thm)],[c30,c290]) ).
cnf(c292,plain,
add(negate(X3),negate(add(X2,X3))) = negate(X3),
inference(transitivity,[status(thm)],[c28,c291]) ).
cnf(c293,plain,
add(negate(X2),negate(add(X3,X2))) = negate(X2),
inference(substitution,[status(thm)],[c292]) ).
cnf(c294,plain,
negate(X2) = add(negate(X2),negate(add(X3,X2))),
inference(symmetry,[status(thm)],[c293]) ).
cnf(c295,plain,
add(X3,negate(X2)) = add(X3,add(negate(X2),negate(add(X3,X2)))),
inference(congruence,[status(thm)],[c294]) ).
cnf(c296,plain,
negate(add(X3,negate(X2))) = negate(add(X3,add(negate(X2),negate(add(X3,X2))))),
inference(congruence,[status(thm)],[c295]) ).
cnf(c297,plain,
add(X3,negate(add(X3,negate(X2)))) = add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2)))))),
inference(congruence,[status(thm)],[c296]) ).
cnf(c298,plain,
negate(add(X3,negate(add(X3,negate(X2))))) = negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2))))))),
inference(congruence,[status(thm)],[c297]) ).
cnf(c299,plain,
add(negate(add(X3,X2)),negate(X2)) = add(negate(X2),negate(add(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c300,plain,
add(negate(X2),negate(add(X3,X2))) = add(negate(add(X3,X2)),negate(X2)),
inference(symmetry,[status(thm)],[c299]) ).
cnf(c301,plain,
add(X3,add(negate(X2),negate(add(X3,X2)))) = add(X3,add(negate(add(X3,X2)),negate(X2))),
inference(congruence,[status(thm)],[c300]) ).
cnf(c302,plain,
negate(add(X3,add(negate(X2),negate(add(X3,X2))))) = negate(add(X3,add(negate(add(X3,X2)),negate(X2)))),
inference(congruence,[status(thm)],[c301]) ).
cnf(c303,plain,
add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2)))))) = add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2))))),
inference(congruence,[status(thm)],[c302]) ).
cnf(c304,plain,
negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2))))))) = negate(add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2)))))),
inference(congruence,[status(thm)],[c303]) ).
cnf(c305,plain,
add(X3,add(negate(add(X3,X2)),negate(X2))) = add(negate(add(X3,X2)),add(X3,negate(X2))),
inference(substitution,[status(thm)],[c58]) ).
cnf(c306,plain,
negate(add(X3,add(negate(add(X3,X2)),negate(X2)))) = negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),
inference(congruence,[status(thm)],[c305]) ).
cnf(c307,plain,
add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2))))) = add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2))))),
inference(congruence,[status(thm)],[c306]) ).
cnf(c308,plain,
negate(add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2)))))) = negate(add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2)))))),
inference(congruence,[status(thm)],[c307]) ).
cnf(c309,plain,
add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3) = add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2))))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c310,plain,
add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2))))) = add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3),
inference(symmetry,[status(thm)],[c309]) ).
cnf(c311,plain,
negate(add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2)))))) = negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3)),
inference(congruence,[status(thm)],[c310]) ).
cnf(c312,plain,
negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
inference(substitution,[status(thm)],[c16]) ).
cnf(c313,plain,
X3 = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
inference(symmetry,[status(thm)],[c312]) ).
cnf(c314,plain,
add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3) = add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))),
inference(congruence,[status(thm)],[c313]) ).
cnf(c315,plain,
negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3)) = negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))),
inference(congruence,[status(thm)],[c314]) ).
cnf(c316,plain,
negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = negate(add(X3,X2)),
inference(substitution,[status(thm)],[c16]) ).
cnf(c317,plain,
negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3)) = negate(add(X3,X2)),
inference(transitivity,[status(thm)],[c315,c316]) ).
cnf(c318,plain,
negate(add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2)))))) = negate(add(X3,X2)),
inference(transitivity,[status(thm)],[c311,c317]) ).
cnf(c319,plain,
negate(add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2)))))) = negate(add(X3,X2)),
inference(transitivity,[status(thm)],[c308,c318]) ).
cnf(c320,plain,
negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2))))))) = negate(add(X3,X2)),
inference(transitivity,[status(thm)],[c304,c319]) ).
cnf(c321,plain,
negate(add(X3,negate(add(X3,negate(X2))))) = negate(add(X3,X2)),
inference(transitivity,[status(thm)],[c298,c320]) ).
cnf(c322,plain,
add(negate(add(X3,negate(add(X3,negate(X2))))),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2)))))))) = add(negate(add(X3,X2)),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2)))))))),
inference(congruence,[status(thm)],[c321]) ).
cnf(c323,plain,
negate(add(negate(add(X3,negate(add(X3,negate(X2))))),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))) = negate(add(negate(add(X3,X2)),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))),
inference(congruence,[status(thm)],[c322]) ).
cnf(c324,plain,
negate(add(negate(add(X2,add(X3,negate(add(X2,negate(X2)))))),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))) = add(X3,negate(add(X2,negate(X2)))),
inference(substitution,[status(thm)],[c91]) ).
cnf(c325,plain,
add(X3,negate(add(X2,negate(X2)))) = negate(add(negate(add(X2,add(X3,negate(add(X2,negate(X2)))))),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))),
inference(symmetry,[status(thm)],[c324]) ).
cnf(c326,plain,
add(negate(X2),X2) = add(X2,negate(X2)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c327,plain,
add(X2,negate(X2)) = add(negate(X2),X2),
inference(symmetry,[status(thm)],[c326]) ).
cnf(c328,plain,
negate(add(X2,negate(X2))) = negate(add(negate(X2),X2)),
inference(congruence,[status(thm)],[c327]) ).
cnf(c329,plain,
add(X2,negate(add(X3,negate(X3)))) = add(X2,negate(add(negate(X3),X3))),
inference(congruence,[status(thm)],[c328]) ).
cnf(c330,plain,
add(X3,add(X2,negate(add(X3,negate(X3))))) = add(X3,add(X2,negate(add(negate(X3),X3)))),
inference(congruence,[status(thm)],[c329]) ).
cnf(c331,plain,
X2 = negate(negate(X2)),
inference(symmetry,[status(thm)],[c275]) ).
cnf(c332,plain,
add(negate(X2),X2) = add(negate(X2),negate(negate(X2))),
inference(congruence,[status(thm)],[c331]) ).
cnf(c333,plain,
negate(add(negate(X2),X2)) = negate(add(negate(X2),negate(negate(X2)))),
inference(congruence,[status(thm)],[c332]) ).
cnf(c334,plain,
add(X2,negate(add(negate(X3),X3))) = add(X2,negate(add(negate(X3),negate(negate(X3))))),
inference(congruence,[status(thm)],[c333]) ).
cnf(c335,plain,
add(X3,add(X2,negate(add(negate(X3),X3)))) = add(X3,add(X2,negate(add(negate(X3),negate(negate(X3)))))),
inference(congruence,[status(thm)],[c334]) ).
cnf(c336,plain,
X2 = negate(negate(X2)),
inference(symmetry,[status(thm)],[c275]) ).
cnf(c337,plain,
add(X3,add(X2,negate(add(negate(X3),negate(negate(X3)))))) = add(negate(negate(X3)),add(X2,negate(add(negate(X3),negate(negate(X3)))))),
inference(congruence,[status(thm)],[c336]) ).
cnf(c338,plain,
add(negate(add(X3,negate(X3))),X2) = add(X2,negate(add(X3,negate(X3)))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c339,plain,
add(X2,negate(add(X3,negate(X3)))) = add(negate(add(X3,negate(X3))),X2),
inference(symmetry,[status(thm)],[c338]) ).
cnf(c340,plain,
add(negate(X3),add(X2,negate(add(X3,negate(X3))))) = add(negate(X3),add(negate(add(X3,negate(X3))),X2)),
inference(congruence,[status(thm)],[c339]) ).
cnf(c341,plain,
add(add(negate(X3),negate(add(X3,negate(X3)))),X2) = add(negate(X3),add(negate(add(X3,negate(X3))),X2)),
inference(substitution,[status(thm)],[c43]) ).
cnf(c342,plain,
add(negate(X3),add(negate(add(X3,negate(X3))),X2)) = add(add(negate(X3),negate(add(X3,negate(X3)))),X2),
inference(symmetry,[status(thm)],[c341]) ).
cnf(c343,plain,
add(add(negate(X3),negate(add(X3,negate(X3)))),X2) = add(negate(X3),X2),
inference(congruence,[status(thm)],[c272]) ).
cnf(c344,plain,
add(negate(X3),X2) = add(X2,negate(X3)),
inference(substitution,[status(thm)],[c2]) ).
cnf(c345,plain,
add(add(negate(X3),negate(add(X3,negate(X3)))),X2) = add(X2,negate(X3)),
inference(transitivity,[status(thm)],[c343,c344]) ).
cnf(c346,plain,
add(negate(X3),add(negate(add(X3,negate(X3))),X2)) = add(X2,negate(X3)),
inference(transitivity,[status(thm)],[c342,c345]) ).
cnf(c347,plain,
add(negate(X3),add(X2,negate(add(X3,negate(X3))))) = add(X2,negate(X3)),
inference(transitivity,[status(thm)],[c340,c346]) ).
cnf(c348,plain,
add(negate(negate(X3)),add(X2,negate(add(negate(X3),negate(negate(X3)))))) = add(X2,negate(negate(X3))),
inference(substitution,[status(thm)],[c347]) ).
cnf(c349,plain,
add(X2,negate(negate(X3))) = add(X2,X3),
inference(congruence,[status(thm)],[c275]) ).
cnf(c350,plain,
add(X2,X3) = add(X3,X2),
inference(substitution,[status(thm)],[c2]) ).
cnf(c351,plain,
add(X2,negate(negate(X3))) = add(X3,X2),
inference(transitivity,[status(thm)],[c349,c350]) ).
cnf(c352,plain,
add(negate(negate(X3)),add(X2,negate(add(negate(X3),negate(negate(X3)))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c348,c351]) ).
cnf(c353,plain,
add(X3,add(X2,negate(add(negate(X3),negate(negate(X3)))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c337,c352]) ).
cnf(c354,plain,
add(X3,add(X2,negate(add(negate(X3),X3)))) = add(X3,X2),
inference(transitivity,[status(thm)],[c335,c353]) ).
cnf(c355,plain,
add(X3,add(X2,negate(add(X3,negate(X3))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c330,c354]) ).
cnf(c356,plain,
add(X2,add(X3,negate(add(X2,negate(X2))))) = add(X2,X3),
inference(substitution,[status(thm)],[c355]) ).
cnf(c357,plain,
negate(add(X2,add(X3,negate(add(X2,negate(X2)))))) = negate(add(X2,X3)),
inference(congruence,[status(thm)],[c356]) ).
cnf(c358,plain,
add(negate(add(X2,add(X3,negate(add(X2,negate(X2)))))),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2))))))) = add(negate(add(X2,X3)),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2))))))),
inference(congruence,[status(thm)],[c357]) ).
cnf(c359,plain,
negate(add(negate(add(X2,add(X3,negate(add(X2,negate(X2)))))),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))) = negate(add(negate(add(X2,X3)),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))),
inference(congruence,[status(thm)],[c358]) ).
cnf(c360,plain,
add(negate(X2),add(X3,negate(add(X2,negate(X2))))) = add(X3,negate(X2)),
inference(substitution,[status(thm)],[c347]) ).
cnf(c361,plain,
negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))) = negate(add(X3,negate(X2))),
inference(congruence,[status(thm)],[c360]) ).
cnf(c362,plain,
add(negate(add(X2,X3)),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2))))))) = add(negate(add(X2,X3)),negate(add(X3,negate(X2)))),
inference(congruence,[status(thm)],[c361]) ).
cnf(c363,plain,
negate(add(negate(add(X2,X3)),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))) = negate(add(negate(add(X2,X3)),negate(add(X3,negate(X2))))),
inference(congruence,[status(thm)],[c362]) ).
cnf(c364,plain,
negate(add(negate(add(X2,X3)),negate(add(X3,negate(X2))))) = X3,
inference(substitution,[status(thm)],[c37]) ).
cnf(c365,plain,
negate(add(negate(add(X2,X3)),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))) = X3,
inference(transitivity,[status(thm)],[c363,c364]) ).
cnf(c366,plain,
negate(add(negate(add(X2,add(X3,negate(add(X2,negate(X2)))))),negate(add(negate(X2),add(X3,negate(add(X2,negate(X2)))))))) = X3,
inference(transitivity,[status(thm)],[c359,c365]) ).
cnf(c367,plain,
add(X3,negate(add(X2,negate(X2)))) = X3,
inference(transitivity,[status(thm)],[c325,c366]) ).
cnf(c368,plain,
add(negate(add(X3,X2)),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2)))))))) = negate(add(X3,X2)),
inference(substitution,[status(thm)],[c367]) ).
cnf(c369,plain,
negate(add(negate(add(X3,X2)),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))) = negate(negate(add(X3,X2))),
inference(congruence,[status(thm)],[c368]) ).
cnf(c370,plain,
negate(negate(add(X3,X2))) = add(X3,X2),
inference(substitution,[status(thm)],[c275]) ).
cnf(c371,plain,
negate(add(negate(add(X3,X2)),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c369,c370]) ).
cnf(c372,plain,
negate(add(negate(add(X3,negate(add(X3,negate(X2))))),negate(add(add(X3,negate(add(X3,negate(X2)))),negate(add(X3,negate(add(X3,negate(X2))))))))) = add(X3,X2),
inference(transitivity,[status(thm)],[c323,c371]) ).
cnf(c373,plain,
add(X3,negate(add(X3,negate(X2)))) = add(X3,X2),
inference(transitivity,[status(thm)],[c24,c372]) ).
cnf(c374,plain,
add(X3,negate(add(X3,negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(X3,add(negate(X2),negate(add(X2,negate(X2))))),
inference(substitution,[status(thm)],[c373]) ).
cnf(c375,plain,
add(X3,add(negate(X2),negate(add(X2,negate(X2))))) = add(X3,negate(X2)),
inference(congruence,[status(thm)],[c272]) ).
cnf(c376,plain,
add(X3,negate(add(X3,negate(add(negate(X2),negate(add(X2,negate(X2)))))))) = add(X3,negate(X2)),
inference(transitivity,[status(thm)],[c374,c375]) ).
cnf(c377,plain,
add(X3,negate(add(X3,X2))) = add(X3,negate(X2)),
inference(transitivity,[status(thm)],[c22,c376]) ).
cnf(c378,plain,
add(X3,negate(X2)) = add(X3,negate(add(X3,X2))),
inference(symmetry,[status(thm)],[c377]) ).
cnf(c379,plain,
negate(add(X3,negate(X2))) = negate(add(X3,negate(add(X3,X2)))),
inference(congruence,[status(thm)],[c378]) ).
cnf(c380,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(X2)))) = add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))),
inference(congruence,[status(thm)],[c379]) ).
cnf(c381,plain,
add(X3,X2) = add(X2,X3),
inference(substitution,[status(thm)],[c2]) ).
cnf(c382,plain,
add(X2,X3) = add(X3,X2),
inference(symmetry,[status(thm)],[c381]) ).
cnf(c383,plain,
negate(add(X2,X3)) = negate(add(X3,X2)),
inference(congruence,[status(thm)],[c382]) ).
cnf(c384,plain,
add(X3,negate(add(X2,X3))) = add(X3,negate(add(X3,X2))),
inference(congruence,[status(thm)],[c383]) ).
cnf(c385,plain,
add(X3,negate(add(X2,X3))) = add(X3,negate(X2)),
inference(transitivity,[status(thm)],[c384,c377]) ).
cnf(c386,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))) = add(negate(add(X3,X2)),negate(X3)),
inference(substitution,[status(thm)],[c385]) ).
cnf(c387,plain,
add(negate(add(X3,X2)),negate(X3)) = add(negate(X3),negate(add(X3,X2))),
inference(substitution,[status(thm)],[c2]) ).
cnf(c388,plain,
add(negate(add(X3,X2)),negate(X3)) = negate(X3),
inference(transitivity,[status(thm)],[c387,c291]) ).
cnf(c389,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(add(X3,X2))))) = negate(X3),
inference(transitivity,[status(thm)],[c386,c388]) ).
cnf(c390,plain,
add(negate(add(X3,X2)),negate(add(X3,negate(X2)))) = negate(X3),
inference(transitivity,[status(thm)],[c380,c389]) ).
cnf(c391,plain,
add(negate(add(X2,X3)),negate(add(X2,negate(X3)))) = negate(X2),
inference(substitution,[status(thm)],[c390]) ).
cnf(c392,plain,
add(negate(add(X3,X2)),negate(add(X2,negate(X3)))) = negate(X2),
inference(transitivity,[status(thm)],[c10,c391]) ).
cnf(c393,plain,
add(negate(add(X3,X2)),negate(add(negate(X3),X2))) = negate(X2),
inference(transitivity,[status(thm)],[c6,c392]) ).
cnf(c394,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = negate(negate(b)),
inference(substitution,[status(thm)],[c393]) ).
cnf(c395,plain,
negate(negate(b)) = b,
inference(substitution,[status(thm)],[c275]) ).
cnf(c396,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b,
inference(transitivity,[status(thm)],[c394,c395]) ).
cnf(c397,plain,
$false,
inference(resolution,[status(thm)],[c1,c396]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB023-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n010.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 23:28:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.79/0.65 Command-line arguments: --no-flatten-goal
% 1.79/0.65
% 1.79/0.65 % SZS status Unsatisfiable
% 1.79/0.65
% 1.79/0.67 % SZS output start CNFRefutation
% See solution above
% 3.65/0.90
% 3.65/0.90 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------