Twee---2.7.UNS-CRf.s

View TPTP
Problem Process solution in
SystemOnTSTP Download .tgz
%------------------------------------------------------------------------------
% File     : Twee---2.7
% Problem  : ROB005-1 : 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 12:36:09 PM UTC 2026

% Result   : Unsatisfiable 22.01s 3.27s
% Output   : CNFRefutation 25.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  148
%            Number of leaves      :    5
% Syntax   : Number of clauses     : 1196 (1196 unt;   0 nHn; 716 RR)
%            Number of literals    : 1196 (1195 equ;   1 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   14 (   3 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  730 (   0 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,
    negate(add(negate(add(X2,Y2)),negate(add(X2,negate(Y2))))) = X2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).

cnf(c12,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c13,plain,
    X3 = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(symmetry,[status(thm)],[c12]) ).

cnf(c14,plain,
    negate(X3) = negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))),
    inference(congruence,[status(thm)],[c13]) ).

cnf(c15,plain,
    negate(negate(X3)) = negate(negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))),
    inference(congruence,[status(thm)],[c14]) ).

cnf(c16,plain,
    add(X2,negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c17,plain,
    add(negate(add(c,negate(c))),X2) = add(X2,negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c16]) ).

cnf(c18,plain,
    add(add(X3,X4),X2) = add(X2,add(X3,X4)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c19,plain,
    add(X3,add(X4,X2)) = add(add(X4,X2),X3),
    inference(symmetry,[status(thm)],[c18]) ).

cnf(c20,axiom,
    add(add(X2,Y2),Z) = add(X2,add(Y2,Z)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).

cnf(c21,plain,
    add(add(X4,X2),X3) = add(X4,add(X2,X3)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c22,plain,
    add(X2,X3) = add(X3,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c23,plain,
    add(X4,add(X2,X3)) = add(X4,add(X3,X2)),
    inference(congruence,[status(thm)],[c22]) ).

cnf(c24,plain,
    add(add(X4,X2),X3) = add(X4,add(X3,X2)),
    inference(transitivity,[status(thm)],[c21,c23]) ).

cnf(c25,plain,
    add(X3,add(X4,X2)) = add(X4,add(X3,X2)),
    inference(transitivity,[status(thm)],[c19,c24]) ).

cnf(c26,plain,
    add(X3,add(negate(X4),X2)) = add(negate(X4),add(X3,X2)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c27,plain,
    negate(add(X3,add(negate(X4),X2))) = negate(add(negate(X4),add(X3,X2))),
    inference(congruence,[status(thm)],[c26]) ).

cnf(c28,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(X3,add(negate(X4),X2)))) = add(negate(add(X4,add(X3,X2))),negate(add(negate(X4),add(X3,X2)))),
    inference(congruence,[status(thm)],[c27]) ).

cnf(c29,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X3,add(negate(X4),X2))))) = negate(add(negate(add(X4,add(X3,X2))),negate(add(negate(X4),add(X3,X2))))),
    inference(congruence,[status(thm)],[c28]) ).

cnf(c30,plain,
    add(X2,negate(X3)) = add(negate(X3),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c31,plain,
    add(negate(X3),X2) = add(X2,negate(X3)),
    inference(symmetry,[status(thm)],[c30]) ).

cnf(c32,plain,
    negate(add(negate(X3),X2)) = negate(add(X2,negate(X3))),
    inference(congruence,[status(thm)],[c31]) ).

cnf(c33,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)],[c32]) ).

cnf(c34,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)],[c33]) ).

cnf(c35,plain,
    add(X2,X3) = add(X3,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c36,plain,
    add(X3,X2) = add(X2,X3),
    inference(symmetry,[status(thm)],[c35]) ).

cnf(c37,plain,
    negate(add(X3,X2)) = negate(add(X2,X3)),
    inference(congruence,[status(thm)],[c36]) ).

cnf(c38,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)],[c37]) ).

cnf(c39,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)],[c38]) ).

cnf(c40,plain,
    negate(add(negate(add(X2,X3)),negate(add(X2,negate(X3))))) = X2,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c41,plain,
    negate(add(negate(add(X3,X2)),negate(add(X2,negate(X3))))) = X2,
    inference(transitivity,[status(thm)],[c39,c40]) ).

cnf(c42,plain,
    negate(add(negate(add(X3,X2)),negate(add(negate(X3),X2)))) = X2,
    inference(transitivity,[status(thm)],[c34,c41]) ).

cnf(c43,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(negate(X4),add(X3,X2))))) = add(X3,X2),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c44,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X3,add(negate(X4),X2))))) = add(X3,X2),
    inference(transitivity,[status(thm)],[c29,c43]) ).

cnf(c45,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,add(negate(c),negate(add(c,negate(c)))))))) = add(X2,negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c44]) ).

cnf(c46,plain,
    add(X2,negate(add(c,negate(c)))) = negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,add(negate(c),negate(add(c,negate(c)))))))),
    inference(symmetry,[status(thm)],[c45]) ).

cnf(c47,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(c),negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c48,plain,
    add(negate(c),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c47]) ).

cnf(c49,plain,
    negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))))) = negate(add(negate(c),negate(negate(c)))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c50,plain,
    negate(add(negate(c),negate(negate(c)))) = negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))))),
    inference(symmetry,[status(thm)],[c49]) ).

cnf(c51,plain,
    add(X2,negate(negate(c))) = add(negate(negate(c)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c52,plain,
    add(negate(negate(c)),X2) = add(X2,negate(negate(c))),
    inference(symmetry,[status(thm)],[c51]) ).

cnf(c53,plain,
    add(c,add(negate(negate(c)),X2)) = add(c,add(X2,negate(negate(c)))),
    inference(congruence,[status(thm)],[c52]) ).

cnf(c54,plain,
    add(negate(negate(c)),X2) = add(X2,negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c55,plain,
    add(X2,negate(negate(c))) = add(negate(negate(c)),X2),
    inference(symmetry,[status(thm)],[c54]) ).

cnf(c56,plain,
    add(c,add(X2,negate(negate(c)))) = add(c,add(negate(negate(c)),X2)),
    inference(congruence,[status(thm)],[c55]) ).

cnf(c57,plain,
    add(add(c,negate(negate(c))),X2) = add(c,add(negate(negate(c)),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c58,plain,
    add(c,add(negate(negate(c)),X2)) = add(add(c,negate(negate(c))),X2),
    inference(symmetry,[status(thm)],[c57]) ).

cnf(c59,plain,
    add(negate(negate(c)),c) = add(c,negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c60,plain,
    add(c,negate(negate(c))) = add(negate(negate(c)),c),
    inference(symmetry,[status(thm)],[c59]) ).

cnf(c61,plain,
    add(add(c,negate(c)),X2) = add(c,add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c62,plain,
    add(c,add(negate(c),X2)) = add(add(c,negate(c)),X2),
    inference(symmetry,[status(thm)],[c61]) ).

cnf(c63,plain,
    negate(add(c,add(negate(c),X2))) = negate(add(add(c,negate(c)),X2)),
    inference(congruence,[status(thm)],[c62]) ).

cnf(c64,plain,
    add(negate(add(X2,c)),negate(add(c,add(negate(c),X2)))) = add(negate(add(X2,c)),negate(add(add(c,negate(c)),X2))),
    inference(congruence,[status(thm)],[c63]) ).

cnf(c65,plain,
    negate(add(negate(add(X2,c)),negate(add(c,add(negate(c),X2))))) = negate(add(negate(add(X2,c)),negate(add(add(c,negate(c)),X2)))),
    inference(congruence,[status(thm)],[c64]) ).

cnf(c66,plain,
    add(X2,add(c,negate(c))) = add(add(c,negate(c)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c67,plain,
    add(add(c,negate(c)),X2) = add(X2,add(c,negate(c))),
    inference(symmetry,[status(thm)],[c66]) ).

cnf(c68,plain,
    negate(add(add(c,negate(c)),X2)) = negate(add(X2,add(c,negate(c)))),
    inference(congruence,[status(thm)],[c67]) ).

cnf(c69,plain,
    add(negate(add(X2,c)),negate(add(add(c,negate(c)),X2))) = add(negate(add(X2,c)),negate(add(X2,add(c,negate(c))))),
    inference(congruence,[status(thm)],[c68]) ).

cnf(c70,plain,
    negate(add(negate(add(X2,c)),negate(add(add(c,negate(c)),X2)))) = negate(add(negate(add(X2,c)),negate(add(X2,add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c69]) ).

cnf(c71,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c72,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c71]) ).

cnf(c73,plain,
    add(X2,add(c,negate(c))) = add(X2,add(negate(c),c)),
    inference(congruence,[status(thm)],[c72]) ).

cnf(c74,plain,
    negate(add(X2,add(c,negate(c)))) = negate(add(X2,add(negate(c),c))),
    inference(congruence,[status(thm)],[c73]) ).

cnf(c75,plain,
    add(negate(add(X2,c)),negate(add(X2,add(c,negate(c))))) = add(negate(add(X2,c)),negate(add(X2,add(negate(c),c)))),
    inference(congruence,[status(thm)],[c74]) ).

cnf(c76,plain,
    negate(add(negate(add(X2,c)),negate(add(X2,add(c,negate(c)))))) = negate(add(negate(add(X2,c)),negate(add(X2,add(negate(c),c))))),
    inference(congruence,[status(thm)],[c75]) ).

cnf(c77,plain,
    add(X2,add(negate(c),c)) = add(negate(c),add(X2,c)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c78,plain,
    negate(add(X2,add(negate(c),c))) = negate(add(negate(c),add(X2,c))),
    inference(congruence,[status(thm)],[c77]) ).

cnf(c79,plain,
    add(negate(add(X2,c)),negate(add(X2,add(negate(c),c)))) = add(negate(add(X2,c)),negate(add(negate(c),add(X2,c)))),
    inference(congruence,[status(thm)],[c78]) ).

cnf(c80,plain,
    negate(add(negate(add(X2,c)),negate(add(X2,add(negate(c),c))))) = negate(add(negate(add(X2,c)),negate(add(negate(c),add(X2,c))))),
    inference(congruence,[status(thm)],[c79]) ).

cnf(c81,plain,
    add(c,X2) = add(X2,c),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c82,plain,
    add(X2,c) = add(c,X2),
    inference(symmetry,[status(thm)],[c81]) ).

cnf(c83,plain,
    add(c,add(X2,c)) = add(c,add(c,X2)),
    inference(congruence,[status(thm)],[c82]) ).

cnf(c84,plain,
    add(add(c,c),X2) = add(c,add(c,X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c85,plain,
    add(c,add(c,X2)) = add(add(c,c),X2),
    inference(symmetry,[status(thm)],[c84]) ).

cnf(c86,axiom,
    add(c,c) = c,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',step) ).

cnf(c87,plain,
    add(add(c,c),X2) = add(c,X2),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c88,plain,
    add(c,X2) = add(X2,c),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c89,plain,
    add(add(c,c),X2) = add(X2,c),
    inference(transitivity,[status(thm)],[c87,c88]) ).

cnf(c90,plain,
    add(c,add(c,X2)) = add(X2,c),
    inference(transitivity,[status(thm)],[c85,c89]) ).

cnf(c91,plain,
    add(c,add(X2,c)) = add(X2,c),
    inference(transitivity,[status(thm)],[c83,c90]) ).

cnf(c92,plain,
    add(X2,c) = add(c,add(X2,c)),
    inference(symmetry,[status(thm)],[c91]) ).

cnf(c93,plain,
    negate(add(X2,c)) = negate(add(c,add(X2,c))),
    inference(congruence,[status(thm)],[c92]) ).

cnf(c94,plain,
    add(negate(add(X2,c)),negate(add(negate(c),add(X2,c)))) = add(negate(add(c,add(X2,c))),negate(add(negate(c),add(X2,c)))),
    inference(congruence,[status(thm)],[c93]) ).

cnf(c95,plain,
    negate(add(negate(add(X2,c)),negate(add(negate(c),add(X2,c))))) = negate(add(negate(add(c,add(X2,c))),negate(add(negate(c),add(X2,c))))),
    inference(congruence,[status(thm)],[c94]) ).

cnf(c96,plain,
    negate(add(negate(add(c,add(X2,c))),negate(add(negate(c),add(X2,c))))) = add(X2,c),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c97,plain,
    negate(add(negate(add(X2,c)),negate(add(negate(c),add(X2,c))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c95,c96]) ).

cnf(c98,plain,
    negate(add(negate(add(X2,c)),negate(add(X2,add(negate(c),c))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c80,c97]) ).

cnf(c99,plain,
    negate(add(negate(add(X2,c)),negate(add(X2,add(c,negate(c)))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c76,c98]) ).

cnf(c100,plain,
    negate(add(negate(add(X2,c)),negate(add(add(c,negate(c)),X2)))) = add(X2,c),
    inference(transitivity,[status(thm)],[c70,c99]) ).

cnf(c101,plain,
    negate(add(negate(add(X2,c)),negate(add(c,add(negate(c),X2))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c65,c100]) ).

cnf(c102,plain,
    negate(add(negate(add(negate(negate(c)),c)),negate(add(c,add(negate(c),negate(negate(c))))))) = add(negate(negate(c)),c),
    inference(substitution,[status(thm)],[c101]) ).

cnf(c103,plain,
    add(negate(negate(c)),c) = negate(add(negate(add(negate(negate(c)),c)),negate(add(c,add(negate(c),negate(negate(c))))))),
    inference(symmetry,[status(thm)],[c102]) ).

cnf(c104,plain,
    negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))))) = negate(add(c,add(negate(c),negate(negate(c))))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c105,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))))),
    inference(symmetry,[status(thm)],[c104]) ).

cnf(c106,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c107,plain,
    add(negate(c),negate(negate(c))) = add(negate(negate(c)),negate(c)),
    inference(symmetry,[status(thm)],[c106]) ).

cnf(c108,plain,
    add(c,add(negate(c),negate(negate(c)))) = add(c,add(negate(negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c107]) ).

cnf(c109,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(c,add(negate(negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c108]) ).

cnf(c110,plain,
    add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c)))))) = add(negate(negate(c)),negate(add(c,add(negate(negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c109]) ).

cnf(c111,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(add(negate(negate(c)),negate(add(c,add(negate(negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c110]) ).

cnf(c112,plain,
    add(c,add(negate(negate(c)),negate(c))) = add(negate(negate(c)),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c113,plain,
    negate(add(c,add(negate(negate(c)),negate(c)))) = negate(add(negate(negate(c)),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c112]) ).

cnf(c114,plain,
    add(negate(negate(c)),negate(add(c,add(negate(negate(c)),negate(c))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c113]) ).

cnf(c115,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(negate(c)),negate(c)))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c114]) ).

cnf(c116,plain,
    add(c,add(negate(c),negate(c))) = add(negate(c),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c117,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c118,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c117]) ).

cnf(c119,plain,
    add(negate(c),add(c,negate(c))) = add(negate(c),add(negate(c),c)),
    inference(congruence,[status(thm)],[c118]) ).

cnf(c120,plain,
    add(add(negate(c),negate(c)),c) = add(negate(c),add(negate(c),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c121,plain,
    add(negate(c),add(negate(c),c)) = add(add(negate(c),negate(c)),c),
    inference(symmetry,[status(thm)],[c120]) ).

cnf(c122,plain,
    add(add(c,negate(c)),X2) = add(c,add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c123,plain,
    add(c,add(negate(c),X2)) = add(add(c,negate(c)),X2),
    inference(symmetry,[status(thm)],[c122]) ).

cnf(c124,plain,
    negate(add(c,add(negate(c),X2))) = negate(add(add(c,negate(c)),X2)),
    inference(congruence,[status(thm)],[c123]) ).

cnf(c125,plain,
    add(negate(add(c,X2)),negate(add(c,add(negate(c),X2)))) = add(negate(add(c,X2)),negate(add(add(c,negate(c)),X2))),
    inference(congruence,[status(thm)],[c124]) ).

cnf(c126,plain,
    negate(add(negate(add(c,X2)),negate(add(c,add(negate(c),X2))))) = negate(add(negate(add(c,X2)),negate(add(add(c,negate(c)),X2)))),
    inference(congruence,[status(thm)],[c125]) ).

cnf(c127,plain,
    add(X2,add(c,negate(c))) = add(add(c,negate(c)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c128,plain,
    add(add(c,negate(c)),X2) = add(X2,add(c,negate(c))),
    inference(symmetry,[status(thm)],[c127]) ).

cnf(c129,plain,
    negate(add(add(c,negate(c)),X2)) = negate(add(X2,add(c,negate(c)))),
    inference(congruence,[status(thm)],[c128]) ).

cnf(c130,plain,
    add(negate(add(c,X2)),negate(add(add(c,negate(c)),X2))) = add(negate(add(c,X2)),negate(add(X2,add(c,negate(c))))),
    inference(congruence,[status(thm)],[c129]) ).

cnf(c131,plain,
    negate(add(negate(add(c,X2)),negate(add(add(c,negate(c)),X2)))) = negate(add(negate(add(c,X2)),negate(add(X2,add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c130]) ).

cnf(c132,plain,
    add(X2,c) = add(c,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c133,plain,
    add(c,X2) = add(X2,c),
    inference(symmetry,[status(thm)],[c132]) ).

cnf(c134,plain,
    negate(add(c,X2)) = negate(add(X2,c)),
    inference(congruence,[status(thm)],[c133]) ).

cnf(c135,plain,
    add(negate(add(c,X2)),negate(add(X2,add(c,negate(c))))) = add(negate(add(X2,c)),negate(add(X2,add(c,negate(c))))),
    inference(congruence,[status(thm)],[c134]) ).

cnf(c136,plain,
    negate(add(negate(add(c,X2)),negate(add(X2,add(c,negate(c)))))) = negate(add(negate(add(X2,c)),negate(add(X2,add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c135]) ).

cnf(c137,plain,
    negate(add(negate(add(c,X2)),negate(add(X2,add(c,negate(c)))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c136,c99]) ).

cnf(c138,plain,
    negate(add(negate(add(c,X2)),negate(add(add(c,negate(c)),X2)))) = add(X2,c),
    inference(transitivity,[status(thm)],[c131,c137]) ).

cnf(c139,plain,
    negate(add(negate(add(c,X2)),negate(add(c,add(negate(c),X2))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c126,c138]) ).

cnf(c140,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = add(add(negate(c),negate(c)),c),
    inference(substitution,[status(thm)],[c139]) ).

cnf(c141,plain,
    add(add(negate(c),negate(c)),c) = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))),
    inference(symmetry,[status(thm)],[c140]) ).

cnf(c142,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))) = negate(add(c,add(negate(c),negate(c)))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c143,plain,
    negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))),
    inference(symmetry,[status(thm)],[c142]) ).

cnf(c144,plain,
    add(c,add(negate(c),negate(c))) = add(negate(c),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c145,plain,
    negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c144]) ).

cnf(c146,plain,
    add(negate(c),negate(add(c,add(negate(c),negate(c))))) = add(negate(c),negate(add(negate(c),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c145]) ).

cnf(c147,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) = negate(add(negate(c),negate(add(negate(c),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c146]) ).

cnf(c148,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c149,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c148]) ).

cnf(c150,plain,
    add(negate(c),add(c,negate(c))) = add(negate(c),add(negate(c),c)),
    inference(congruence,[status(thm)],[c149]) ).

cnf(c151,plain,
    negate(add(negate(c),add(c,negate(c)))) = negate(add(negate(c),add(negate(c),c))),
    inference(congruence,[status(thm)],[c150]) ).

cnf(c152,plain,
    add(negate(c),negate(add(negate(c),add(c,negate(c))))) = add(negate(c),negate(add(negate(c),add(negate(c),c)))),
    inference(congruence,[status(thm)],[c151]) ).

cnf(c153,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(c)))))) = negate(add(negate(c),negate(add(negate(c),add(negate(c),c))))),
    inference(congruence,[status(thm)],[c152]) ).

cnf(c154,plain,
    add(negate(add(negate(c),add(negate(c),c))),negate(c)) = add(negate(c),negate(add(negate(c),add(negate(c),c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c155,plain,
    add(negate(c),negate(add(negate(c),add(negate(c),c)))) = add(negate(add(negate(c),add(negate(c),c))),negate(c)),
    inference(symmetry,[status(thm)],[c154]) ).

cnf(c156,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),c))))) = negate(add(negate(add(negate(c),add(negate(c),c))),negate(c))),
    inference(congruence,[status(thm)],[c155]) ).

cnf(c157,plain,
    add(add(negate(c),negate(c)),c) = add(negate(c),add(negate(c),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c158,plain,
    add(negate(c),add(negate(c),c)) = add(add(negate(c),negate(c)),c),
    inference(symmetry,[status(thm)],[c157]) ).

cnf(c159,plain,
    negate(add(negate(c),add(negate(c),c))) = negate(add(add(negate(c),negate(c)),c)),
    inference(congruence,[status(thm)],[c158]) ).

cnf(c160,plain,
    add(negate(add(negate(c),add(negate(c),c))),negate(c)) = add(negate(add(add(negate(c),negate(c)),c)),negate(c)),
    inference(congruence,[status(thm)],[c159]) ).

cnf(c161,plain,
    negate(add(negate(add(negate(c),add(negate(c),c))),negate(c))) = negate(add(negate(add(add(negate(c),negate(c)),c)),negate(c))),
    inference(congruence,[status(thm)],[c160]) ).

cnf(c162,plain,
    add(X2,c) = add(c,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c163,plain,
    add(c,X2) = add(X2,c),
    inference(symmetry,[status(thm)],[c162]) ).

cnf(c164,plain,
    add(c,add(c,X2)) = add(c,add(X2,c)),
    inference(congruence,[status(thm)],[c163]) ).

cnf(c165,plain,
    add(c,add(c,X2)) = add(X2,c),
    inference(transitivity,[status(thm)],[c164,c91]) ).

cnf(c166,plain,
    add(c,add(c,add(negate(c),negate(c)))) = add(add(negate(c),negate(c)),c),
    inference(substitution,[status(thm)],[c165]) ).

cnf(c167,plain,
    add(add(negate(c),negate(c)),c) = add(c,add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c166]) ).

cnf(c168,plain,
    negate(add(add(negate(c),negate(c)),c)) = negate(add(c,add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c167]) ).

cnf(c169,plain,
    add(negate(add(add(negate(c),negate(c)),c)),negate(c)) = add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c)),
    inference(congruence,[status(thm)],[c168]) ).

cnf(c170,plain,
    negate(add(negate(add(add(negate(c),negate(c)),c)),negate(c))) = negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c))),
    inference(congruence,[status(thm)],[c169]) ).

cnf(c171,plain,
    add(c,add(negate(c),negate(c))) = add(negate(c),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c172,plain,
    negate(add(c,add(negate(c),negate(c)))) = negate(add(negate(c),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c171]) ).

cnf(c173,plain,
    add(c,negate(add(c,add(negate(c),negate(c))))) = add(c,negate(add(negate(c),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c172]) ).

cnf(c174,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(add(c,negate(add(negate(c),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c173]) ).

cnf(c175,plain,
    add(negate(add(negate(c),add(c,negate(c)))),c) = add(c,negate(add(negate(c),add(c,negate(c))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c176,plain,
    add(c,negate(add(negate(c),add(c,negate(c))))) = add(negate(add(negate(c),add(c,negate(c)))),c),
    inference(symmetry,[status(thm)],[c175]) ).

cnf(c177,plain,
    negate(add(c,negate(add(negate(c),add(c,negate(c)))))) = negate(add(negate(add(negate(c),add(c,negate(c)))),c)),
    inference(congruence,[status(thm)],[c176]) ).

cnf(c178,plain,
    c = add(c,c),
    inference(symmetry,[status(thm)],[c86]) ).

cnf(c179,plain,
    negate(c) = negate(add(c,c)),
    inference(congruence,[status(thm)],[c178]) ).

cnf(c180,plain,
    add(negate(c),negate(add(c,negate(c)))) = add(negate(add(c,c)),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c179]) ).

cnf(c181,plain,
    negate(add(negate(c),negate(add(c,negate(c))))) = negate(add(negate(add(c,c)),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c180]) ).

cnf(c182,plain,
    negate(add(negate(add(c,c)),negate(add(c,negate(c))))) = c,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c183,plain,
    negate(add(negate(c),negate(add(c,negate(c))))) = c,
    inference(transitivity,[status(thm)],[c181,c182]) ).

cnf(c184,plain,
    c = negate(add(negate(c),negate(add(c,negate(c))))),
    inference(symmetry,[status(thm)],[c183]) ).

cnf(c185,plain,
    add(negate(add(negate(c),add(c,negate(c)))),c) = add(negate(add(negate(c),add(c,negate(c)))),negate(add(negate(c),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c184]) ).

cnf(c186,plain,
    negate(add(negate(add(negate(c),add(c,negate(c)))),c)) = negate(add(negate(add(negate(c),add(c,negate(c)))),negate(add(negate(c),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c185]) ).

cnf(c187,plain,
    negate(add(negate(add(negate(c),add(c,negate(c)))),negate(add(negate(c),negate(add(c,negate(c))))))) = negate(c),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c188,plain,
    negate(add(negate(add(negate(c),add(c,negate(c)))),c)) = negate(c),
    inference(transitivity,[status(thm)],[c186,c187]) ).

cnf(c189,plain,
    negate(add(c,negate(add(negate(c),add(c,negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c177,c188]) ).

cnf(c190,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c174,c189]) ).

cnf(c191,plain,
    negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(symmetry,[status(thm)],[c190]) ).

cnf(c192,plain,
    add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c)) = add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c191]) ).

cnf(c193,plain,
    negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c))) = negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c192]) ).

cnf(c194,plain,
    negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))) = c,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c195,plain,
    negate(add(negate(add(c,add(c,add(negate(c),negate(c))))),negate(c))) = c,
    inference(transitivity,[status(thm)],[c193,c194]) ).

cnf(c196,plain,
    negate(add(negate(add(add(negate(c),negate(c)),c)),negate(c))) = c,
    inference(transitivity,[status(thm)],[c170,c195]) ).

cnf(c197,plain,
    negate(add(negate(add(negate(c),add(negate(c),c))),negate(c))) = c,
    inference(transitivity,[status(thm)],[c161,c196]) ).

cnf(c198,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),c))))) = c,
    inference(transitivity,[status(thm)],[c156,c197]) ).

cnf(c199,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(c)))))) = c,
    inference(transitivity,[status(thm)],[c153,c198]) ).

cnf(c200,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))) = c,
    inference(transitivity,[status(thm)],[c147,c199]) ).

cnf(c201,plain,
    add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))) = add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c),
    inference(congruence,[status(thm)],[c200]) ).

cnf(c202,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))) = negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c)),
    inference(congruence,[status(thm)],[c201]) ).

cnf(c203,plain,
    add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c) = add(negate(c),c),
    inference(congruence,[status(thm)],[c190]) ).

cnf(c204,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c)) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c203]) ).

cnf(c205,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c206,plain,
    negate(add(negate(c),c)) = negate(add(c,negate(c))),
    inference(congruence,[status(thm)],[c205]) ).

cnf(c207,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),c)) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c204,c206]) ).

cnf(c208,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c202,c207]) ).

cnf(c209,plain,
    negate(add(c,add(negate(c),negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c143,c208]) ).

cnf(c210,plain,
    add(negate(add(c,add(negate(c),negate(c)))),negate(add(c,add(negate(c),add(negate(c),negate(c)))))) = add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c209]) ).

cnf(c211,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c210]) ).

cnf(c212,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))))) = negate(add(c,add(negate(c),add(negate(c),negate(c))))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c213,plain,
    negate(add(c,add(negate(c),add(negate(c),negate(c))))) = negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))))),
    inference(symmetry,[status(thm)],[c212]) ).

cnf(c214,plain,
    add(c,add(negate(c),add(negate(c),negate(c)))) = add(negate(c),add(c,add(negate(c),negate(c)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c215,plain,
    negate(add(c,add(negate(c),add(negate(c),negate(c))))) = negate(add(negate(c),add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c214]) ).

cnf(c216,plain,
    add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c215]) ).

cnf(c217,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c216]) ).

cnf(c218,plain,
    add(c,add(negate(c),negate(c))) = add(negate(c),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c219,plain,
    add(negate(c),add(c,add(negate(c),negate(c)))) = add(negate(c),add(negate(c),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c218]) ).

cnf(c220,plain,
    negate(add(negate(c),add(c,add(negate(c),negate(c))))) = negate(add(negate(c),add(negate(c),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c219]) ).

cnf(c221,plain,
    add(negate(c),negate(add(negate(c),add(c,add(negate(c),negate(c)))))) = add(negate(c),negate(add(negate(c),add(negate(c),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c220]) ).

cnf(c222,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,add(negate(c),negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(negate(c),add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c221]) ).

cnf(c223,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c224,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c223]) ).

cnf(c225,plain,
    add(negate(c),add(c,negate(c))) = add(negate(c),add(negate(c),c)),
    inference(congruence,[status(thm)],[c224]) ).

cnf(c226,plain,
    add(negate(c),add(negate(c),add(c,negate(c)))) = add(negate(c),add(negate(c),add(negate(c),c))),
    inference(congruence,[status(thm)],[c225]) ).

cnf(c227,plain,
    negate(add(negate(c),add(negate(c),add(c,negate(c))))) = negate(add(negate(c),add(negate(c),add(negate(c),c)))),
    inference(congruence,[status(thm)],[c226]) ).

cnf(c228,plain,
    add(negate(c),negate(add(negate(c),add(negate(c),add(c,negate(c)))))) = add(negate(c),negate(add(negate(c),add(negate(c),add(negate(c),c))))),
    inference(congruence,[status(thm)],[c227]) ).

cnf(c229,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),add(c,negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(negate(c),add(negate(c),c)))))),
    inference(congruence,[status(thm)],[c228]) ).

cnf(c230,plain,
    add(add(negate(c),negate(c)),c) = add(negate(c),add(negate(c),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c231,plain,
    add(negate(c),add(negate(c),c)) = add(add(negate(c),negate(c)),c),
    inference(symmetry,[status(thm)],[c230]) ).

cnf(c232,plain,
    add(negate(c),add(negate(c),add(negate(c),c))) = add(negate(c),add(add(negate(c),negate(c)),c)),
    inference(congruence,[status(thm)],[c231]) ).

cnf(c233,plain,
    negate(add(negate(c),add(negate(c),add(negate(c),c)))) = negate(add(negate(c),add(add(negate(c),negate(c)),c))),
    inference(congruence,[status(thm)],[c232]) ).

cnf(c234,plain,
    add(negate(c),negate(add(negate(c),add(negate(c),add(negate(c),c))))) = add(negate(c),negate(add(negate(c),add(add(negate(c),negate(c)),c)))),
    inference(congruence,[status(thm)],[c233]) ).

cnf(c235,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),add(negate(c),c)))))) = negate(add(negate(c),negate(add(negate(c),add(add(negate(c),negate(c)),c))))),
    inference(congruence,[status(thm)],[c234]) ).

cnf(c236,plain,
    add(c,add(add(negate(c),negate(c)),c)) = add(add(negate(c),negate(c)),c),
    inference(substitution,[status(thm)],[c91]) ).

cnf(c237,plain,
    add(add(negate(c),negate(c)),c) = add(c,add(add(negate(c),negate(c)),c)),
    inference(symmetry,[status(thm)],[c236]) ).

cnf(c238,plain,
    add(negate(c),add(add(negate(c),negate(c)),c)) = add(negate(c),add(c,add(add(negate(c),negate(c)),c))),
    inference(congruence,[status(thm)],[c237]) ).

cnf(c239,plain,
    negate(add(negate(c),add(add(negate(c),negate(c)),c))) = negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c)))),
    inference(congruence,[status(thm)],[c238]) ).

cnf(c240,plain,
    add(negate(c),negate(add(negate(c),add(add(negate(c),negate(c)),c)))) = add(negate(c),negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c))))),
    inference(congruence,[status(thm)],[c239]) ).

cnf(c241,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(negate(c),negate(c)),c))))) = negate(add(negate(c),negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c)))))),
    inference(congruence,[status(thm)],[c240]) ).

cnf(c242,plain,
    add(add(c,add(negate(c),negate(c))),c) = add(c,add(add(negate(c),negate(c)),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c243,plain,
    add(c,add(add(negate(c),negate(c)),c)) = add(add(c,add(negate(c),negate(c))),c),
    inference(symmetry,[status(thm)],[c242]) ).

cnf(c244,plain,
    add(negate(c),add(c,add(add(negate(c),negate(c)),c))) = add(negate(c),add(add(c,add(negate(c),negate(c))),c)),
    inference(congruence,[status(thm)],[c243]) ).

cnf(c245,plain,
    negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c)))) = negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c))),
    inference(congruence,[status(thm)],[c244]) ).

cnf(c246,plain,
    add(negate(c),negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c))))) = add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c)))),
    inference(congruence,[status(thm)],[c245]) ).

cnf(c247,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c)))))) = negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c))))),
    inference(congruence,[status(thm)],[c246]) ).

cnf(c248,plain,
    c = negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))),
    inference(symmetry,[status(thm)],[c200]) ).

cnf(c249,plain,
    add(add(c,add(negate(c),negate(c))),c) = add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c248]) ).

cnf(c250,plain,
    add(negate(c),add(add(c,add(negate(c),negate(c))),c)) = add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c249]) ).

cnf(c251,plain,
    negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c))) = negate(add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))))),
    inference(congruence,[status(thm)],[c250]) ).

cnf(c252,plain,
    add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c)))) = add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))))))),
    inference(congruence,[status(thm)],[c251]) ).

cnf(c253,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c))))) = negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))))))),
    inference(congruence,[status(thm)],[c252]) ).

cnf(c254,plain,
    add(negate(add(X3,negate(X2))),X2) = add(X2,negate(add(X3,negate(X2)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c255,plain,
    add(X2,negate(add(X3,negate(X2)))) = add(negate(add(X3,negate(X2))),X2),
    inference(symmetry,[status(thm)],[c254]) ).

cnf(c256,plain,
    add(X3,add(X2,negate(add(X3,negate(X2))))) = add(X3,add(negate(add(X3,negate(X2))),X2)),
    inference(congruence,[status(thm)],[c255]) ).

cnf(c257,plain,
    negate(add(X3,add(X2,negate(add(X3,negate(X2)))))) = negate(add(X3,add(negate(add(X3,negate(X2))),X2))),
    inference(congruence,[status(thm)],[c256]) ).

cnf(c258,plain,
    add(X3,negate(add(X3,add(X2,negate(add(X3,negate(X2))))))) = add(X3,negate(add(X3,add(negate(add(X3,negate(X2))),X2)))),
    inference(congruence,[status(thm)],[c257]) ).

cnf(c259,plain,
    negate(add(X3,negate(add(X3,add(X2,negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(add(X3,add(negate(add(X3,negate(X2))),X2))))),
    inference(congruence,[status(thm)],[c258]) ).

cnf(c260,plain,
    add(X3,add(negate(add(X3,negate(X2))),X2)) = add(negate(add(X3,negate(X2))),add(X3,X2)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c261,plain,
    negate(add(X3,add(negate(add(X3,negate(X2))),X2))) = negate(add(negate(add(X3,negate(X2))),add(X3,X2))),
    inference(congruence,[status(thm)],[c260]) ).

cnf(c262,plain,
    add(X3,negate(add(X3,add(negate(add(X3,negate(X2))),X2)))) = add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2)))),
    inference(congruence,[status(thm)],[c261]) ).

cnf(c263,plain,
    negate(add(X3,negate(add(X3,add(negate(add(X3,negate(X2))),X2))))) = negate(add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2))))),
    inference(congruence,[status(thm)],[c262]) ).

cnf(c264,plain,
    add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3) = add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c265,plain,
    add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2)))) = add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3),
    inference(symmetry,[status(thm)],[c264]) ).

cnf(c266,plain,
    negate(add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2))))) = negate(add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3)),
    inference(congruence,[status(thm)],[c265]) ).

cnf(c267,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c268,plain,
    X3 = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(symmetry,[status(thm)],[c267]) ).

cnf(c269,plain,
    add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3) = add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))),
    inference(congruence,[status(thm)],[c268]) ).

cnf(c270,plain,
    negate(add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3)) = negate(add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))),
    inference(congruence,[status(thm)],[c269]) ).

cnf(c271,plain,
    add(X3,negate(X2)) = add(negate(X2),X3),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c272,plain,
    add(negate(X2),X3) = add(X3,negate(X2)),
    inference(symmetry,[status(thm)],[c271]) ).

cnf(c273,plain,
    negate(add(negate(X2),X3)) = negate(add(X3,negate(X2))),
    inference(congruence,[status(thm)],[c272]) ).

cnf(c274,plain,
    add(negate(add(X3,X2)),negate(add(negate(X2),X3))) = add(negate(add(X3,X2)),negate(add(X3,negate(X2)))),
    inference(congruence,[status(thm)],[c273]) ).

cnf(c275,plain,
    negate(add(negate(add(X3,X2)),negate(add(negate(X2),X3)))) = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(congruence,[status(thm)],[c274]) ).

cnf(c276,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c277,plain,
    negate(add(negate(add(X3,X2)),negate(add(negate(X2),X3)))) = X3,
    inference(transitivity,[status(thm)],[c275,c276]) ).

cnf(c278,plain,
    negate(add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = negate(add(X3,negate(X2))),
    inference(substitution,[status(thm)],[c277]) ).

cnf(c279,plain,
    negate(add(negate(add(negate(add(X3,negate(X2))),add(X3,X2))),X3)) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c270,c278]) ).

cnf(c280,plain,
    negate(add(X3,negate(add(negate(add(X3,negate(X2))),add(X3,X2))))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c266,c279]) ).

cnf(c281,plain,
    negate(add(X3,negate(add(X3,add(negate(add(X3,negate(X2))),X2))))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c263,c280]) ).

cnf(c282,plain,
    negate(add(X3,negate(add(X3,add(X2,negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c259,c281]) ).

cnf(c283,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))))))) = negate(add(negate(c),negate(add(c,add(negate(c),negate(c)))))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c284,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),negate(add(negate(c),negate(add(c,add(negate(c),negate(c))))))))))) = c,
    inference(transitivity,[status(thm)],[c283,c200]) ).

cnf(c285,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(c,add(negate(c),negate(c))),c))))) = c,
    inference(transitivity,[status(thm)],[c253,c284]) ).

cnf(c286,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,add(add(negate(c),negate(c)),c)))))) = c,
    inference(transitivity,[status(thm)],[c247,c285]) ).

cnf(c287,plain,
    negate(add(negate(c),negate(add(negate(c),add(add(negate(c),negate(c)),c))))) = c,
    inference(transitivity,[status(thm)],[c241,c286]) ).

cnf(c288,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),add(negate(c),c)))))) = c,
    inference(transitivity,[status(thm)],[c235,c287]) ).

cnf(c289,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(c),add(c,negate(c))))))) = c,
    inference(transitivity,[status(thm)],[c229,c288]) ).

cnf(c290,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,add(negate(c),negate(c))))))) = c,
    inference(transitivity,[status(thm)],[c222,c289]) ).

cnf(c291,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = c,
    inference(transitivity,[status(thm)],[c217,c290]) ).

cnf(c292,plain,
    add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c)))))))) = add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),c),
    inference(congruence,[status(thm)],[c291]) ).

cnf(c293,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))))) = negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),c)),
    inference(congruence,[status(thm)],[c292]) ).

cnf(c294,plain,
    add(c,add(negate(c),add(negate(c),negate(c)))) = add(negate(c),add(c,add(negate(c),negate(c)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c295,plain,
    negate(add(c,add(negate(c),add(negate(c),negate(c))))) = negate(add(negate(c),add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c294]) ).

cnf(c296,plain,
    add(c,negate(add(c,add(negate(c),add(negate(c),negate(c)))))) = add(c,negate(add(negate(c),add(c,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c295]) ).

cnf(c297,plain,
    negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(add(c,negate(add(negate(c),add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c296]) ).

cnf(c298,plain,
    add(c,add(negate(c),negate(c))) = add(negate(c),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c299,plain,
    add(negate(c),add(c,add(negate(c),negate(c)))) = add(negate(c),add(negate(c),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c298]) ).

cnf(c300,plain,
    negate(add(negate(c),add(c,add(negate(c),negate(c))))) = negate(add(negate(c),add(negate(c),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c299]) ).

cnf(c301,plain,
    add(c,negate(add(negate(c),add(c,add(negate(c),negate(c)))))) = add(c,negate(add(negate(c),add(negate(c),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c300]) ).

cnf(c302,plain,
    negate(add(c,negate(add(negate(c),add(c,add(negate(c),negate(c))))))) = negate(add(c,negate(add(negate(c),add(negate(c),add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c301]) ).

cnf(c303,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c304,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c303]) ).

cnf(c305,plain,
    add(negate(c),add(c,negate(c))) = add(negate(c),add(negate(c),c)),
    inference(congruence,[status(thm)],[c304]) ).

cnf(c306,plain,
    add(negate(c),add(negate(c),add(c,negate(c)))) = add(negate(c),add(negate(c),add(negate(c),c))),
    inference(congruence,[status(thm)],[c305]) ).

cnf(c307,plain,
    negate(add(negate(c),add(negate(c),add(c,negate(c))))) = negate(add(negate(c),add(negate(c),add(negate(c),c)))),
    inference(congruence,[status(thm)],[c306]) ).

cnf(c308,plain,
    add(c,negate(add(negate(c),add(negate(c),add(c,negate(c)))))) = add(c,negate(add(negate(c),add(negate(c),add(negate(c),c))))),
    inference(congruence,[status(thm)],[c307]) ).

cnf(c309,plain,
    negate(add(c,negate(add(negate(c),add(negate(c),add(c,negate(c))))))) = negate(add(c,negate(add(negate(c),add(negate(c),add(negate(c),c)))))),
    inference(congruence,[status(thm)],[c308]) ).

cnf(c310,plain,
    add(add(negate(c),negate(c)),add(negate(c),c)) = add(negate(c),add(negate(c),add(negate(c),c))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c311,plain,
    add(negate(c),add(negate(c),add(negate(c),c))) = add(add(negate(c),negate(c)),add(negate(c),c)),
    inference(symmetry,[status(thm)],[c310]) ).

cnf(c312,plain,
    negate(add(negate(c),add(negate(c),add(negate(c),c)))) = negate(add(add(negate(c),negate(c)),add(negate(c),c))),
    inference(congruence,[status(thm)],[c311]) ).

cnf(c313,plain,
    add(c,negate(add(negate(c),add(negate(c),add(negate(c),c))))) = add(c,negate(add(add(negate(c),negate(c)),add(negate(c),c)))),
    inference(congruence,[status(thm)],[c312]) ).

cnf(c314,plain,
    negate(add(c,negate(add(negate(c),add(negate(c),add(negate(c),c)))))) = negate(add(c,negate(add(add(negate(c),negate(c)),add(negate(c),c))))),
    inference(congruence,[status(thm)],[c313]) ).

cnf(c315,plain,
    add(add(add(negate(c),negate(c)),negate(c)),c) = add(add(negate(c),negate(c)),add(negate(c),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c316,plain,
    add(add(negate(c),negate(c)),add(negate(c),c)) = add(add(add(negate(c),negate(c)),negate(c)),c),
    inference(symmetry,[status(thm)],[c315]) ).

cnf(c317,plain,
    negate(add(add(negate(c),negate(c)),add(negate(c),c))) = negate(add(add(add(negate(c),negate(c)),negate(c)),c)),
    inference(congruence,[status(thm)],[c316]) ).

cnf(c318,plain,
    add(c,negate(add(add(negate(c),negate(c)),add(negate(c),c)))) = add(c,negate(add(add(add(negate(c),negate(c)),negate(c)),c))),
    inference(congruence,[status(thm)],[c317]) ).

cnf(c319,plain,
    negate(add(c,negate(add(add(negate(c),negate(c)),add(negate(c),c))))) = negate(add(c,negate(add(add(add(negate(c),negate(c)),negate(c)),c)))),
    inference(congruence,[status(thm)],[c318]) ).

cnf(c320,plain,
    add(c,add(c,add(add(negate(c),negate(c)),negate(c)))) = add(add(add(negate(c),negate(c)),negate(c)),c),
    inference(substitution,[status(thm)],[c165]) ).

cnf(c321,plain,
    add(add(add(negate(c),negate(c)),negate(c)),c) = add(c,add(c,add(add(negate(c),negate(c)),negate(c)))),
    inference(symmetry,[status(thm)],[c320]) ).

cnf(c322,plain,
    negate(add(add(add(negate(c),negate(c)),negate(c)),c)) = negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c321]) ).

cnf(c323,plain,
    add(c,negate(add(add(add(negate(c),negate(c)),negate(c)),c))) = add(c,negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c322]) ).

cnf(c324,plain,
    negate(add(c,negate(add(add(add(negate(c),negate(c)),negate(c)),c)))) = negate(add(c,negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c))))))),
    inference(congruence,[status(thm)],[c323]) ).

cnf(c325,plain,
    add(add(c,add(negate(c),negate(c))),negate(c)) = add(c,add(add(negate(c),negate(c)),negate(c))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c326,plain,
    add(c,add(add(negate(c),negate(c)),negate(c))) = add(add(c,add(negate(c),negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c325]) ).

cnf(c327,plain,
    add(c,add(c,add(add(negate(c),negate(c)),negate(c)))) = add(c,add(add(c,add(negate(c),negate(c))),negate(c))),
    inference(congruence,[status(thm)],[c326]) ).

cnf(c328,plain,
    negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c))))) = negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c327]) ).

cnf(c329,plain,
    add(c,negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c)))))) = add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c328]) ).

cnf(c330,plain,
    negate(add(c,negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c))))))) = negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c329]) ).

cnf(c331,plain,
    negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(symmetry,[status(thm)],[c190]) ).

cnf(c332,plain,
    add(add(c,add(negate(c),negate(c))),negate(c)) = add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c331]) ).

cnf(c333,plain,
    add(c,add(add(c,add(negate(c),negate(c))),negate(c))) = add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c332]) ).

cnf(c334,plain,
    negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c)))) = negate(add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))),
    inference(congruence,[status(thm)],[c333]) ).

cnf(c335,plain,
    add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c))))) = add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))))),
    inference(congruence,[status(thm)],[c334]) ).

cnf(c336,plain,
    negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c)))))) = negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))),
    inference(congruence,[status(thm)],[c335]) ).

cnf(c337,plain,
    negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c338,plain,
    negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c337,c190]) ).

cnf(c339,plain,
    negate(add(c,negate(add(c,add(add(c,add(negate(c),negate(c))),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c336,c338]) ).

cnf(c340,plain,
    negate(add(c,negate(add(c,add(c,add(add(negate(c),negate(c)),negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c330,c339]) ).

cnf(c341,plain,
    negate(add(c,negate(add(add(add(negate(c),negate(c)),negate(c)),c)))) = negate(c),
    inference(transitivity,[status(thm)],[c324,c340]) ).

cnf(c342,plain,
    negate(add(c,negate(add(add(negate(c),negate(c)),add(negate(c),c))))) = negate(c),
    inference(transitivity,[status(thm)],[c319,c341]) ).

cnf(c343,plain,
    negate(add(c,negate(add(negate(c),add(negate(c),add(negate(c),c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c314,c342]) ).

cnf(c344,plain,
    negate(add(c,negate(add(negate(c),add(negate(c),add(c,negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c309,c343]) ).

cnf(c345,plain,
    negate(add(c,negate(add(negate(c),add(c,add(negate(c),negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c302,c344]) ).

cnf(c346,plain,
    negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c297,c345]) ).

cnf(c347,plain,
    add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),c) = add(negate(c),c),
    inference(congruence,[status(thm)],[c346]) ).

cnf(c348,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),c)) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c347]) ).

cnf(c349,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c350,plain,
    negate(add(negate(c),c)) = negate(add(c,negate(c))),
    inference(congruence,[status(thm)],[c349]) ).

cnf(c351,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),c)) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c348,c350]) ).

cnf(c352,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),add(negate(c),negate(c))))))),negate(add(negate(c),negate(add(c,add(negate(c),add(negate(c),negate(c))))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c293,c351]) ).

cnf(c353,plain,
    negate(add(c,add(negate(c),add(negate(c),negate(c))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c213,c352]) ).

cnf(c354,plain,
    add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c)))))) = add(negate(add(c,negate(c))),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c353]) ).

cnf(c355,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = negate(add(negate(add(c,negate(c))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c354]) ).

cnf(c356,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c357,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c356]) ).

cnf(c358,plain,
    negate(add(c,negate(c))) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c357]) ).

cnf(c359,plain,
    add(negate(add(c,negate(c))),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(add(negate(c),c))),
    inference(congruence,[status(thm)],[c358]) ).

cnf(c360,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,negate(c))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(c),c)))),
    inference(congruence,[status(thm)],[c359]) ).

cnf(c361,plain,
    add(negate(add(negate(c),c)),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(add(negate(c),c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c362,plain,
    add(negate(add(c,negate(c))),negate(add(negate(c),c))) = add(negate(add(negate(c),c)),negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c361]) ).

cnf(c363,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),c)))) = negate(add(negate(add(negate(c),c)),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c362]) ).

cnf(c364,plain,
    add(c,add(negate(c),c)) = add(negate(c),c),
    inference(substitution,[status(thm)],[c91]) ).

cnf(c365,plain,
    add(negate(c),c) = add(c,add(negate(c),c)),
    inference(symmetry,[status(thm)],[c364]) ).

cnf(c366,plain,
    negate(add(negate(c),c)) = negate(add(c,add(negate(c),c))),
    inference(congruence,[status(thm)],[c365]) ).

cnf(c367,plain,
    add(negate(add(negate(c),c)),negate(add(c,negate(c)))) = add(negate(add(c,add(negate(c),c))),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c366]) ).

cnf(c368,plain,
    negate(add(negate(add(negate(c),c)),negate(add(c,negate(c))))) = negate(add(negate(add(c,add(negate(c),c))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c367]) ).

cnf(c369,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c370,plain,
    add(negate(add(c,add(negate(c),c))),negate(add(c,negate(c)))) = add(negate(add(c,add(negate(c),c))),negate(add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c369]) ).

cnf(c371,plain,
    negate(add(negate(add(c,add(negate(c),c))),negate(add(c,negate(c))))) = negate(add(negate(add(c,add(negate(c),c))),negate(add(c,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c370]) ).

cnf(c372,plain,
    add(add(X4,X3),negate(X2)) = add(X4,add(X3,negate(X2))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c373,plain,
    add(X4,add(X3,negate(X2))) = add(add(X4,X3),negate(X2)),
    inference(symmetry,[status(thm)],[c372]) ).

cnf(c374,plain,
    negate(add(X4,add(X3,negate(X2)))) = negate(add(add(X4,X3),negate(X2))),
    inference(congruence,[status(thm)],[c373]) ).

cnf(c375,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(X4,add(X3,negate(X2))))) = add(negate(add(X4,add(X3,X2))),negate(add(add(X4,X3),negate(X2)))),
    inference(congruence,[status(thm)],[c374]) ).

cnf(c376,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X4,add(X3,negate(X2)))))) = negate(add(negate(add(X4,add(X3,X2))),negate(add(add(X4,X3),negate(X2))))),
    inference(congruence,[status(thm)],[c375]) ).

cnf(c377,plain,
    add(add(X4,X3),X2) = add(X4,add(X3,X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c378,plain,
    add(X4,add(X3,X2)) = add(add(X4,X3),X2),
    inference(symmetry,[status(thm)],[c377]) ).

cnf(c379,plain,
    negate(add(X4,add(X3,X2))) = negate(add(add(X4,X3),X2)),
    inference(congruence,[status(thm)],[c378]) ).

cnf(c380,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(add(X4,X3),negate(X2)))) = add(negate(add(add(X4,X3),X2)),negate(add(add(X4,X3),negate(X2)))),
    inference(congruence,[status(thm)],[c379]) ).

cnf(c381,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(add(X4,X3),negate(X2))))) = negate(add(negate(add(add(X4,X3),X2)),negate(add(add(X4,X3),negate(X2))))),
    inference(congruence,[status(thm)],[c380]) ).

cnf(c382,plain,
    negate(add(negate(add(add(X4,X3),X2)),negate(add(add(X4,X3),negate(X2))))) = add(X4,X3),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c383,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(add(X4,X3),negate(X2))))) = add(X4,X3),
    inference(transitivity,[status(thm)],[c381,c382]) ).

cnf(c384,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X4,add(X3,negate(X2)))))) = add(X4,X3),
    inference(transitivity,[status(thm)],[c376,c383]) ).

cnf(c385,plain,
    negate(add(negate(add(c,add(negate(c),c))),negate(add(c,add(negate(c),negate(c)))))) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c384]) ).

cnf(c386,plain,
    negate(add(negate(add(c,add(negate(c),c))),negate(add(c,negate(c))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c371,c385]) ).

cnf(c387,plain,
    negate(add(negate(add(negate(c),c)),negate(add(c,negate(c))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c368,c386]) ).

cnf(c388,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),c)))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c363,c387]) ).

cnf(c389,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,negate(c))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c360,c388]) ).

cnf(c390,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c355,c389]) ).

cnf(c391,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(c,add(negate(c),add(negate(c),negate(c))))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c211,c390]) ).

cnf(c392,plain,
    add(add(negate(c),negate(c)),c) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c141,c391]) ).

cnf(c393,plain,
    add(negate(c),add(negate(c),c)) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c121,c392]) ).

cnf(c394,plain,
    add(negate(c),add(c,negate(c))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c119,c393]) ).

cnf(c395,plain,
    add(c,add(negate(c),negate(c))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c116,c394]) ).

cnf(c396,plain,
    add(c,negate(c)) = add(c,add(negate(c),negate(c))),
    inference(symmetry,[status(thm)],[c395]) ).

cnf(c397,plain,
    add(negate(negate(c)),add(c,negate(c))) = add(negate(negate(c)),add(c,add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c396]) ).

cnf(c398,plain,
    negate(add(negate(negate(c)),add(c,negate(c)))) = negate(add(negate(negate(c)),add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c397]) ).

cnf(c399,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(c,negate(c))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(c,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c398]) ).

cnf(c400,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,negate(c)))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c399]) ).

cnf(c401,plain,
    add(add(c,negate(c)),negate(c)) = add(c,add(negate(c),negate(c))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c402,plain,
    add(c,add(negate(c),negate(c))) = add(add(c,negate(c)),negate(c)),
    inference(symmetry,[status(thm)],[c401]) ).

cnf(c403,plain,
    add(negate(negate(c)),add(c,add(negate(c),negate(c)))) = add(negate(negate(c)),add(add(c,negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c402]) ).

cnf(c404,plain,
    negate(add(negate(negate(c)),add(c,add(negate(c),negate(c))))) = negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c403]) ).

cnf(c405,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(c,add(negate(c),negate(c)))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c404]) ).

cnf(c406,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,add(negate(c),negate(c))))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c405]) ).

cnf(c407,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c408,plain,
    add(c,negate(c)) = add(negate(c),c),
    inference(symmetry,[status(thm)],[c407]) ).

cnf(c409,plain,
    negate(add(c,negate(c))) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c408]) ).

cnf(c410,plain,
    add(negate(negate(c)),negate(add(c,negate(c)))) = add(negate(negate(c)),negate(add(negate(c),c))),
    inference(congruence,[status(thm)],[c409]) ).

cnf(c411,plain,
    negate(add(negate(negate(c)),negate(add(c,negate(c))))) = negate(add(negate(negate(c)),negate(add(negate(c),c)))),
    inference(congruence,[status(thm)],[c410]) ).

cnf(c412,plain,
    add(negate(add(negate(c),c)),negate(negate(c))) = add(negate(negate(c)),negate(add(negate(c),c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c413,plain,
    add(negate(negate(c)),negate(add(negate(c),c))) = add(negate(add(negate(c),c)),negate(negate(c))),
    inference(symmetry,[status(thm)],[c412]) ).

cnf(c414,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),c)))) = negate(add(negate(add(negate(c),c)),negate(negate(c)))),
    inference(congruence,[status(thm)],[c413]) ).

cnf(c415,plain,
    add(add(X4,X3),X2) = add(X4,add(X3,X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c416,plain,
    add(X4,add(X3,X2)) = add(add(X4,X3),X2),
    inference(symmetry,[status(thm)],[c415]) ).

cnf(c417,plain,
    negate(add(X4,add(X3,X2))) = negate(add(add(X4,X3),X2)),
    inference(congruence,[status(thm)],[c416]) ).

cnf(c418,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(X2,negate(add(X4,X3))))) = add(negate(add(add(X4,X3),X2)),negate(add(X2,negate(add(X4,X3))))),
    inference(congruence,[status(thm)],[c417]) ).

cnf(c419,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X2,negate(add(X4,X3)))))) = negate(add(negate(add(add(X4,X3),X2)),negate(add(X2,negate(add(X4,X3)))))),
    inference(congruence,[status(thm)],[c418]) ).

cnf(c420,plain,
    negate(add(negate(add(add(X4,X3),X2)),negate(add(X2,negate(add(X4,X3)))))) = X2,
    inference(substitution,[status(thm)],[c41]) ).

cnf(c421,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X2,negate(add(X4,X3)))))) = X2,
    inference(transitivity,[status(thm)],[c419,c420]) ).

cnf(c422,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(c))))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = add(negate(c),negate(c)),
    inference(substitution,[status(thm)],[c421]) ).

cnf(c423,plain,
    add(negate(c),negate(c)) = negate(add(negate(add(c,add(negate(c),add(negate(c),negate(c))))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))),
    inference(symmetry,[status(thm)],[c422]) ).

cnf(c424,plain,
    add(negate(add(c,add(negate(c),add(negate(c),negate(c))))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c)))))) = add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c353]) ).

cnf(c425,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(c))))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = negate(add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c424]) ).

cnf(c426,plain,
    add(add(negate(c),negate(c)),negate(add(c,negate(c)))) = add(negate(c),add(negate(c),negate(add(c,negate(c))))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c427,plain,
    negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))) = negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c426]) ).

cnf(c428,plain,
    add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c)))))) = add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c427]) ).

cnf(c429,plain,
    negate(add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))))),
    inference(congruence,[status(thm)],[c428]) ).

cnf(c430,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(c),negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c431,plain,
    add(negate(c),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c430]) ).

cnf(c432,plain,
    add(negate(c),add(negate(c),negate(add(c,negate(c))))) = add(negate(c),add(negate(add(c,negate(c))),negate(c))),
    inference(congruence,[status(thm)],[c431]) ).

cnf(c433,plain,
    negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))) = negate(add(negate(c),add(negate(add(c,negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c432]) ).

cnf(c434,plain,
    add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c))))))) = add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(add(c,negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c433]) ).

cnf(c435,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(add(c,negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c434]) ).

cnf(c436,plain,
    add(negate(c),add(negate(add(c,negate(c))),negate(c))) = add(negate(add(c,negate(c))),add(negate(c),negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c437,plain,
    negate(add(negate(c),add(negate(add(c,negate(c))),negate(c)))) = negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c436]) ).

cnf(c438,plain,
    add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(add(c,negate(c))),negate(c))))) = add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c437]) ).

cnf(c439,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(add(c,negate(c))),negate(c)))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c438]) ).

cnf(c440,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c441,plain,
    add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c))))) = add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c440]) ).

cnf(c442,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))) = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c441]) ).

cnf(c443,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c444,plain,
    add(negate(add(c,negate(c))),add(negate(c),negate(c))) = add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c443]) ).

cnf(c445,plain,
    negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))) = negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c444]) ).

cnf(c446,plain,
    add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c))))) = add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c445]) ).

cnf(c447,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))) = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c446]) ).

cnf(c448,plain,
    negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(symmetry,[status(thm)],[c190]) ).

cnf(c449,plain,
    add(negate(c),negate(c)) = add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c448]) ).

cnf(c450,plain,
    add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c))) = add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c449]) ).

cnf(c451,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c)))) = negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))),
    inference(congruence,[status(thm)],[c450]) ).

cnf(c452,plain,
    add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c))))) = add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c)))))))))),
    inference(congruence,[status(thm)],[c451]) ).

cnf(c453,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c)))))) = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))),
    inference(congruence,[status(thm)],[c452]) ).

cnf(c454,plain,
    add(X3,X2) = add(X2,X3),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c455,plain,
    add(X2,X3) = add(X3,X2),
    inference(symmetry,[status(thm)],[c454]) ).

cnf(c456,plain,
    negate(add(X2,X3)) = negate(add(X3,X2)),
    inference(congruence,[status(thm)],[c455]) ).

cnf(c457,plain,
    add(negate(X2),negate(add(X2,X3))) = add(negate(X2),negate(add(X3,X2))),
    inference(congruence,[status(thm)],[c456]) ).

cnf(c458,plain,
    add(X3,add(negate(X2),negate(add(X2,X3)))) = add(X3,add(negate(X2),negate(add(X3,X2)))),
    inference(congruence,[status(thm)],[c457]) ).

cnf(c459,plain,
    negate(add(X3,add(negate(X2),negate(add(X2,X3))))) = negate(add(X3,add(negate(X2),negate(add(X3,X2))))),
    inference(congruence,[status(thm)],[c458]) ).

cnf(c460,plain,
    add(X3,negate(add(X3,add(negate(X2),negate(add(X2,X3)))))) = add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2)))))),
    inference(congruence,[status(thm)],[c459]) ).

cnf(c461,plain,
    negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X2,X3))))))) = negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2))))))),
    inference(congruence,[status(thm)],[c460]) ).

cnf(c462,plain,
    add(negate(add(X3,X2)),negate(X2)) = add(negate(X2),negate(add(X3,X2))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c463,plain,
    add(negate(X2),negate(add(X3,X2))) = add(negate(add(X3,X2)),negate(X2)),
    inference(symmetry,[status(thm)],[c462]) ).

cnf(c464,plain,
    add(X3,add(negate(X2),negate(add(X3,X2)))) = add(X3,add(negate(add(X3,X2)),negate(X2))),
    inference(congruence,[status(thm)],[c463]) ).

cnf(c465,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)],[c464]) ).

cnf(c466,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)],[c465]) ).

cnf(c467,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)],[c466]) ).

cnf(c468,plain,
    add(X3,add(negate(add(X3,X2)),negate(X2))) = add(negate(add(X3,X2)),add(X3,negate(X2))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c469,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)],[c468]) ).

cnf(c470,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)],[c469]) ).

cnf(c471,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)],[c470]) ).

cnf(c472,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(c473,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)],[c472]) ).

cnf(c474,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)],[c473]) ).

cnf(c475,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c476,plain,
    X3 = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(symmetry,[status(thm)],[c475]) ).

cnf(c477,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)],[c476]) ).

cnf(c478,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)],[c477]) ).

cnf(c479,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)],[c11]) ).

cnf(c480,plain,
    negate(add(negate(add(negate(add(X3,X2)),add(X3,negate(X2)))),X3)) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c478,c479]) ).

cnf(c481,plain,
    negate(add(X3,negate(add(negate(add(X3,X2)),add(X3,negate(X2)))))) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c474,c480]) ).

cnf(c482,plain,
    negate(add(X3,negate(add(X3,add(negate(add(X3,X2)),negate(X2)))))) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c471,c481]) ).

cnf(c483,plain,
    negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X3,X2))))))) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c467,c482]) ).

cnf(c484,plain,
    negate(add(X3,negate(add(X3,add(negate(X2),negate(add(X2,X3))))))) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c461,c483]) ).

cnf(c485,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))) = negate(add(negate(add(c,add(negate(c),negate(c)))),c)),
    inference(substitution,[status(thm)],[c484]) ).

cnf(c486,plain,
    add(negate(add(c,add(negate(c),negate(c)))),c) = add(negate(add(c,negate(c))),c),
    inference(congruence,[status(thm)],[c209]) ).

cnf(c487,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),c)) = negate(add(negate(add(c,negate(c))),c)),
    inference(congruence,[status(thm)],[c486]) ).

cnf(c488,plain,
    add(negate(add(c,negate(c))),c) = add(c,negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c489,plain,
    negate(add(negate(add(c,negate(c))),c)) = negate(add(c,negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c488]) ).

cnf(c490,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c491,plain,
    add(c,negate(add(c,negate(c)))) = add(c,negate(add(c,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c490]) ).

cnf(c492,plain,
    negate(add(c,negate(add(c,negate(c))))) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c491]) ).

cnf(c493,plain,
    negate(add(c,negate(add(c,negate(c))))) = negate(c),
    inference(transitivity,[status(thm)],[c492,c190]) ).

cnf(c494,plain,
    negate(add(negate(add(c,negate(c))),c)) = negate(c),
    inference(transitivity,[status(thm)],[c489,c493]) ).

cnf(c495,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),c)) = negate(c),
    inference(transitivity,[status(thm)],[c487,c494]) ).

cnf(c496,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(add(c,negate(add(c,add(negate(c),negate(c))))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c485,c495]) ).

cnf(c497,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(negate(c),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c453,c496]) ).

cnf(c498,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c447,c497]) ).

cnf(c499,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),add(negate(c),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c442,c498]) ).

cnf(c500,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(add(c,negate(c))),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c439,c499]) ).

cnf(c501,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),add(negate(c),negate(add(c,negate(c)))))))) = negate(c),
    inference(transitivity,[status(thm)],[c435,c500]) ).

cnf(c502,plain,
    negate(add(negate(add(c,negate(c))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c429,c501]) ).

cnf(c503,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(c))))),negate(add(add(negate(c),negate(c)),negate(add(c,negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c425,c502]) ).

cnf(c504,plain,
    add(negate(c),negate(c)) = negate(c),
    inference(transitivity,[status(thm)],[c423,c503]) ).

cnf(c505,plain,
    negate(c) = add(negate(c),negate(c)),
    inference(symmetry,[status(thm)],[c504]) ).

cnf(c506,plain,
    negate(negate(c)) = negate(add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c505]) ).

cnf(c507,plain,
    add(negate(add(negate(c),c)),negate(negate(c))) = add(negate(add(negate(c),c)),negate(add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c506]) ).

cnf(c508,plain,
    negate(add(negate(add(negate(c),c)),negate(negate(c)))) = negate(add(negate(add(negate(c),c)),negate(add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c507]) ).

cnf(c509,plain,
    negate(add(negate(add(negate(c),c)),negate(add(negate(c),negate(c))))) = negate(c),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c510,plain,
    negate(add(negate(add(negate(c),c)),negate(negate(c)))) = negate(c),
    inference(transitivity,[status(thm)],[c508,c509]) ).

cnf(c511,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),c)))) = negate(c),
    inference(transitivity,[status(thm)],[c414,c510]) ).

cnf(c512,plain,
    negate(add(negate(negate(c)),negate(add(c,negate(c))))) = negate(c),
    inference(transitivity,[status(thm)],[c411,c511]) ).

cnf(c513,plain,
    negate(c) = negate(add(negate(negate(c)),negate(add(c,negate(c))))),
    inference(symmetry,[status(thm)],[c512]) ).

cnf(c514,plain,
    add(add(c,negate(c)),negate(c)) = add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c513]) ).

cnf(c515,plain,
    add(negate(negate(c)),add(add(c,negate(c)),negate(c))) = add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c514]) ).

cnf(c516,plain,
    negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c)))) = negate(add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c)))))))),
    inference(congruence,[status(thm)],[c515]) ).

cnf(c517,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c))))))))),
    inference(congruence,[status(thm)],[c516]) ).

cnf(c518,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c)))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c)))))))))),
    inference(congruence,[status(thm)],[c517]) ).

cnf(c519,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c)))))))))) = negate(add(negate(negate(c)),negate(add(c,negate(c))))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c520,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(add(negate(negate(c)),negate(add(c,negate(c)))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c519,c512]) ).

cnf(c521,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(c,negate(c)),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c518,c520]) ).

cnf(c522,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,add(negate(c),negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c406,c521]) ).

cnf(c523,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(c,negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c400,c522]) ).

cnf(c524,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(negate(c)),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c115,c523]) ).

cnf(c525,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c111,c524]) ).

cnf(c526,plain,
    add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c)))))))) = add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(c)),
    inference(congruence,[status(thm)],[c525]) ).

cnf(c527,plain,
    negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))))) = negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(c))),
    inference(congruence,[status(thm)],[c526]) ).

cnf(c528,plain,
    add(c,add(negate(c),negate(negate(c)))) = add(negate(c),add(c,negate(negate(c)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c529,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(negate(c),add(c,negate(negate(c))))),
    inference(congruence,[status(thm)],[c528]) ).

cnf(c530,plain,
    add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))),
    inference(congruence,[status(thm)],[c529]) ).

cnf(c531,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))),
    inference(congruence,[status(thm)],[c530]) ).

cnf(c532,plain,
    negate(c) = add(negate(c),negate(c)),
    inference(symmetry,[status(thm)],[c504]) ).

cnf(c533,plain,
    negate(negate(c)) = negate(add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c532]) ).

cnf(c534,plain,
    add(c,negate(negate(c))) = add(c,negate(add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c533]) ).

cnf(c535,plain,
    add(negate(c),add(c,negate(negate(c)))) = add(negate(c),add(c,negate(add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c534]) ).

cnf(c536,plain,
    negate(add(negate(c),add(c,negate(negate(c))))) = negate(add(negate(c),add(c,negate(add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c535]) ).

cnf(c537,plain,
    add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,negate(add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c536]) ).

cnf(c538,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(c,negate(add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c537]) ).

cnf(c539,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(add(negate(c),negate(c)))))))) = negate(add(negate(c),negate(c))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c540,plain,
    negate(add(negate(c),negate(c))) = negate(negate(c)),
    inference(congruence,[status(thm)],[c504]) ).

cnf(c541,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(add(negate(c),negate(c)))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c539,c540]) ).

cnf(c542,plain,
    negate(add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c538,c541]) ).

cnf(c543,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c531,c542]) ).

cnf(c544,plain,
    add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(c)) = add(negate(negate(c)),negate(c)),
    inference(congruence,[status(thm)],[c543]) ).

cnf(c545,plain,
    negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(c))) = negate(add(negate(negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c544]) ).

cnf(c546,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c547,plain,
    negate(add(negate(negate(c)),negate(c))) = negate(add(negate(c),negate(negate(c)))),
    inference(congruence,[status(thm)],[c546]) ).

cnf(c548,plain,
    negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(c))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c545,c547]) ).

cnf(c549,plain,
    negate(add(negate(add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(negate(c))))))))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c527,c548]) ).

cnf(c550,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c105,c549]) ).

cnf(c551,plain,
    add(negate(add(negate(negate(c)),c)),negate(add(c,add(negate(c),negate(negate(c)))))) = add(negate(add(negate(negate(c)),c)),negate(add(negate(c),negate(negate(c))))),
    inference(congruence,[status(thm)],[c550]) ).

cnf(c552,plain,
    negate(add(negate(add(negate(negate(c)),c)),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(add(negate(add(negate(negate(c)),c)),negate(add(negate(c),negate(negate(c)))))),
    inference(congruence,[status(thm)],[c551]) ).

cnf(c553,plain,
    negate(add(negate(add(negate(negate(c)),c)),negate(add(negate(c),negate(negate(c)))))) = negate(negate(c)),
    inference(substitution,[status(thm)],[c277]) ).

cnf(c554,plain,
    negate(add(negate(add(negate(negate(c)),c)),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c552,c553]) ).

cnf(c555,plain,
    add(negate(negate(c)),c) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c103,c554]) ).

cnf(c556,plain,
    add(c,negate(negate(c))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c60,c555]) ).

cnf(c557,plain,
    add(add(c,negate(negate(c))),X2) = add(negate(negate(c)),X2),
    inference(congruence,[status(thm)],[c556]) ).

cnf(c558,plain,
    add(negate(negate(c)),X2) = add(X2,negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c559,plain,
    add(add(c,negate(negate(c))),X2) = add(X2,negate(negate(c))),
    inference(transitivity,[status(thm)],[c557,c558]) ).

cnf(c560,plain,
    add(c,add(negate(negate(c)),X2)) = add(X2,negate(negate(c))),
    inference(transitivity,[status(thm)],[c58,c559]) ).

cnf(c561,plain,
    add(c,add(X2,negate(negate(c)))) = add(X2,negate(negate(c))),
    inference(transitivity,[status(thm)],[c56,c560]) ).

cnf(c562,plain,
    add(c,add(negate(negate(c)),X2)) = add(X2,negate(negate(c))),
    inference(transitivity,[status(thm)],[c53,c561]) ).

cnf(c563,plain,
    add(c,add(negate(negate(c)),negate(c))) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c562]) ).

cnf(c564,plain,
    add(negate(c),negate(negate(c))) = add(c,add(negate(negate(c)),negate(c))),
    inference(symmetry,[status(thm)],[c563]) ).

cnf(c565,plain,
    negate(add(negate(c),negate(negate(c)))) = negate(add(c,add(negate(negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c564]) ).

cnf(c566,plain,
    add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c))))) = add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c565]) ).

cnf(c567,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))) = negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c566]) ).

cnf(c568,plain,
    add(c,add(negate(negate(c)),negate(c))) = add(negate(negate(c)),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c569,plain,
    negate(add(c,add(negate(negate(c)),negate(c)))) = negate(add(negate(negate(c)),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c568]) ).

cnf(c570,plain,
    add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c))))) = add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c569]) ).

cnf(c571,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c570]) ).

cnf(c572,plain,
    add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c573,plain,
    add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c))))) = add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c572]) ).

cnf(c574,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))) = negate(add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c573]) ).

cnf(c575,plain,
    add(add(negate(c),negate(c)),X2) = add(negate(c),add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c576,plain,
    add(negate(c),add(negate(c),X2)) = add(add(negate(c),negate(c)),X2),
    inference(symmetry,[status(thm)],[c575]) ).

cnf(c577,plain,
    add(c,add(negate(c),add(negate(c),X2))) = add(c,add(add(negate(c),negate(c)),X2)),
    inference(congruence,[status(thm)],[c576]) ).

cnf(c578,plain,
    add(X2,add(negate(c),negate(c))) = add(add(negate(c),negate(c)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c579,plain,
    add(add(negate(c),negate(c)),X2) = add(X2,add(negate(c),negate(c))),
    inference(symmetry,[status(thm)],[c578]) ).

cnf(c580,plain,
    add(c,add(add(negate(c),negate(c)),X2)) = add(c,add(X2,add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c579]) ).

cnf(c581,plain,
    add(X2,add(negate(c),negate(c))) = add(negate(c),add(X2,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c582,plain,
    add(c,add(X2,add(negate(c),negate(c)))) = add(c,add(negate(c),add(X2,negate(c)))),
    inference(congruence,[status(thm)],[c581]) ).

cnf(c583,plain,
    add(negate(c),X2) = add(X2,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c584,plain,
    add(X2,negate(c)) = add(negate(c),X2),
    inference(symmetry,[status(thm)],[c583]) ).

cnf(c585,plain,
    add(negate(c),add(X2,negate(c))) = add(negate(c),add(negate(c),X2)),
    inference(congruence,[status(thm)],[c584]) ).

cnf(c586,plain,
    add(c,add(negate(c),add(X2,negate(c)))) = add(c,add(negate(c),add(negate(c),X2))),
    inference(congruence,[status(thm)],[c585]) ).

cnf(c587,plain,
    add(add(negate(c),negate(c)),X2) = add(negate(c),add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c588,plain,
    add(negate(c),add(negate(c),X2)) = add(add(negate(c),negate(c)),X2),
    inference(symmetry,[status(thm)],[c587]) ).

cnf(c589,plain,
    add(c,add(negate(c),add(negate(c),X2))) = add(c,add(add(negate(c),negate(c)),X2)),
    inference(congruence,[status(thm)],[c588]) ).

cnf(c590,plain,
    add(add(c,add(negate(c),negate(c))),X2) = add(c,add(add(negate(c),negate(c)),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c591,plain,
    add(c,add(add(negate(c),negate(c)),X2)) = add(add(c,add(negate(c),negate(c))),X2),
    inference(symmetry,[status(thm)],[c590]) ).

cnf(c592,plain,
    add(add(c,add(negate(c),negate(c))),X2) = add(add(c,negate(c)),X2),
    inference(congruence,[status(thm)],[c395]) ).

cnf(c593,plain,
    add(add(c,negate(c)),X2) = add(c,add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c594,plain,
    add(negate(c),X2) = add(X2,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c595,plain,
    add(c,add(negate(c),X2)) = add(c,add(X2,negate(c))),
    inference(congruence,[status(thm)],[c594]) ).

cnf(c596,plain,
    add(X2,add(c,negate(c))) = add(c,add(X2,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c597,plain,
    add(c,add(X2,negate(c))) = add(X2,add(c,negate(c))),
    inference(symmetry,[status(thm)],[c596]) ).

cnf(c598,plain,
    add(c,add(negate(c),X2)) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c595,c597]) ).

cnf(c599,plain,
    add(add(c,negate(c)),X2) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c593,c598]) ).

cnf(c600,plain,
    add(add(c,add(negate(c),negate(c))),X2) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c592,c599]) ).

cnf(c601,plain,
    add(c,add(add(negate(c),negate(c)),X2)) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c591,c600]) ).

cnf(c602,plain,
    add(c,add(negate(c),add(negate(c),X2))) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c589,c601]) ).

cnf(c603,plain,
    add(c,add(negate(c),add(X2,negate(c)))) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c586,c602]) ).

cnf(c604,plain,
    add(c,add(X2,add(negate(c),negate(c)))) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c582,c603]) ).

cnf(c605,plain,
    add(c,add(add(negate(c),negate(c)),X2)) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c580,c604]) ).

cnf(c606,plain,
    add(c,add(negate(c),add(negate(c),X2))) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c577,c605]) ).

cnf(c607,plain,
    add(c,add(negate(c),add(negate(c),negate(negate(c))))) = add(negate(negate(c)),add(c,negate(c))),
    inference(substitution,[status(thm)],[c606]) ).

cnf(c608,plain,
    add(negate(negate(c)),add(c,negate(c))) = add(c,add(negate(c),add(negate(c),negate(negate(c))))),
    inference(symmetry,[status(thm)],[c607]) ).

cnf(c609,plain,
    negate(add(negate(negate(c)),add(c,negate(c)))) = negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),
    inference(congruence,[status(thm)],[c608]) ).

cnf(c610,plain,
    add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c)))) = add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c609]) ).

cnf(c611,plain,
    negate(add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c))))) = negate(add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c610]) ).

cnf(c612,plain,
    negate(add(negate(c),negate(negate(c)))) = negate(add(c,add(negate(c),negate(negate(c))))),
    inference(symmetry,[status(thm)],[c550]) ).

cnf(c613,plain,
    add(negate(c),negate(add(negate(c),negate(negate(c))))) = add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))),
    inference(congruence,[status(thm)],[c612]) ).

cnf(c614,plain,
    add(c,add(negate(c),negate(add(negate(c),negate(negate(c)))))) = add(c,add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))),
    inference(congruence,[status(thm)],[c613]) ).

cnf(c615,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))) = negate(add(c,add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c614]) ).

cnf(c616,plain,
    add(c,add(negate(c),negate(negate(c)))) = add(negate(c),add(c,negate(negate(c)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c617,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(negate(c),add(c,negate(negate(c))))),
    inference(congruence,[status(thm)],[c616]) ).

cnf(c618,plain,
    add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))),
    inference(congruence,[status(thm)],[c617]) ).

cnf(c619,plain,
    add(c,add(negate(c),negate(add(c,add(negate(c),negate(negate(c))))))) = add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))),
    inference(congruence,[status(thm)],[c618]) ).

cnf(c620,plain,
    negate(add(c,add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))))) = negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c619]) ).

cnf(c621,plain,
    add(negate(negate(c)),c) = add(c,negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c622,plain,
    add(c,negate(negate(c))) = add(negate(negate(c)),c),
    inference(symmetry,[status(thm)],[c621]) ).

cnf(c623,plain,
    add(negate(c),add(c,negate(negate(c)))) = add(negate(c),add(negate(negate(c)),c)),
    inference(congruence,[status(thm)],[c622]) ).

cnf(c624,plain,
    negate(add(negate(c),add(c,negate(negate(c))))) = negate(add(negate(c),add(negate(negate(c)),c))),
    inference(congruence,[status(thm)],[c623]) ).

cnf(c625,plain,
    add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))),
    inference(congruence,[status(thm)],[c624]) ).

cnf(c626,plain,
    add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))) = add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),c))))),
    inference(congruence,[status(thm)],[c625]) ).

cnf(c627,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))) = negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))))),
    inference(congruence,[status(thm)],[c626]) ).

cnf(c628,plain,
    add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c)) = add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c629,plain,
    add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))) = add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c)),
    inference(symmetry,[status(thm)],[c628]) ).

cnf(c630,plain,
    add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),c))))) = add(c,add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c))),
    inference(congruence,[status(thm)],[c629]) ).

cnf(c631,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))))) = negate(add(c,add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c)))),
    inference(congruence,[status(thm)],[c630]) ).

cnf(c632,plain,
    add(c,add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c))) = add(negate(add(negate(c),add(negate(negate(c)),c))),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c633,plain,
    negate(add(c,add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c)))) = negate(add(negate(add(negate(c),add(negate(negate(c)),c))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c632]) ).

cnf(c634,plain,
    add(add(negate(c),negate(negate(c))),c) = add(negate(c),add(negate(negate(c)),c)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c635,plain,
    add(negate(c),add(negate(negate(c)),c)) = add(add(negate(c),negate(negate(c))),c),
    inference(symmetry,[status(thm)],[c634]) ).

cnf(c636,plain,
    negate(add(negate(c),add(negate(negate(c)),c))) = negate(add(add(negate(c),negate(negate(c))),c)),
    inference(congruence,[status(thm)],[c635]) ).

cnf(c637,plain,
    add(negate(add(negate(c),add(negate(negate(c)),c))),add(c,negate(c))) = add(negate(add(add(negate(c),negate(negate(c))),c)),add(c,negate(c))),
    inference(congruence,[status(thm)],[c636]) ).

cnf(c638,plain,
    negate(add(negate(add(negate(c),add(negate(negate(c)),c))),add(c,negate(c)))) = negate(add(negate(add(add(negate(c),negate(negate(c))),c)),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c637]) ).

cnf(c639,plain,
    add(negate(add(c,negate(c))),X2) = add(X2,negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c640,plain,
    add(X2,negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),X2),
    inference(symmetry,[status(thm)],[c639]) ).

cnf(c641,plain,
    add(c,add(X2,negate(add(c,negate(c))))) = add(c,add(negate(add(c,negate(c))),X2)),
    inference(congruence,[status(thm)],[c640]) ).

cnf(c642,plain,
    add(add(c,negate(add(c,negate(c)))),X2) = add(c,add(negate(add(c,negate(c))),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c643,plain,
    add(c,add(negate(add(c,negate(c))),X2)) = add(add(c,negate(add(c,negate(c)))),X2),
    inference(symmetry,[status(thm)],[c642]) ).

cnf(c644,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(c),negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c645,plain,
    add(negate(c),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c644]) ).

cnf(c646,plain,
    add(c,add(negate(c),negate(add(c,negate(c))))) = add(c,add(negate(add(c,negate(c))),negate(c))),
    inference(congruence,[status(thm)],[c645]) ).

cnf(c647,plain,
    negate(add(c,add(negate(c),negate(add(c,negate(c)))))) = negate(add(c,add(negate(add(c,negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c646]) ).

cnf(c648,plain,
    add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c))))))) = add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c647]) ).

cnf(c649,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c648]) ).

cnf(c650,plain,
    add(c,add(negate(add(c,negate(c))),negate(c))) = add(negate(add(c,negate(c))),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c651,plain,
    negate(add(c,add(negate(add(c,negate(c))),negate(c)))) = negate(add(negate(add(c,negate(c))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c650]) ).

cnf(c652,plain,
    add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c))))) = add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c651]) ).

cnf(c653,plain,
    negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) = negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c652]) ).

cnf(c654,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c655,plain,
    add(negate(add(c,negate(c))),add(c,negate(c))) = add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c654]) ).

cnf(c656,plain,
    negate(add(negate(add(c,negate(c))),add(c,negate(c)))) = negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c655]) ).

cnf(c657,plain,
    add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c))))) = add(negate(c),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c656]) ).

cnf(c658,plain,
    negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))) = negate(add(negate(c),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c657]) ).

cnf(c659,plain,
    negate(c) = negate(add(c,negate(add(c,add(negate(c),negate(c)))))),
    inference(symmetry,[status(thm)],[c190]) ).

cnf(c660,plain,
    add(negate(c),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c))))) = add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c659]) ).

cnf(c661,plain,
    negate(add(negate(c),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))) = negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c660]) ).

cnf(c662,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))) = add(negate(add(c,add(negate(c),negate(c)))),c),
    inference(substitution,[status(thm)],[c137]) ).

cnf(c663,plain,
    add(negate(add(c,add(negate(c),negate(c)))),c) = add(negate(add(c,negate(c))),c),
    inference(congruence,[status(thm)],[c209]) ).

cnf(c664,plain,
    add(negate(add(c,negate(c))),c) = add(c,negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c665,plain,
    add(negate(add(c,add(negate(c),negate(c)))),c) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c663,c664]) ).

cnf(c666,plain,
    negate(add(negate(add(c,negate(add(c,add(negate(c),negate(c)))))),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c662,c665]) ).

cnf(c667,plain,
    negate(add(negate(c),negate(add(negate(add(c,add(negate(c),negate(c)))),add(c,negate(c)))))) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c661,c666]) ).

cnf(c668,plain,
    negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c658,c667]) ).

cnf(c669,plain,
    negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c653,c668]) ).

cnf(c670,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = add(c,negate(add(c,negate(c)))),
    inference(transitivity,[status(thm)],[c649,c669]) ).

cnf(c671,plain,
    add(c,negate(add(c,negate(c)))) = negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))),
    inference(symmetry,[status(thm)],[c670]) ).

cnf(c672,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(c),negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c673,plain,
    add(negate(c),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c672]) ).

cnf(c674,plain,
    add(c,add(negate(c),negate(add(c,negate(c))))) = add(c,add(negate(add(c,negate(c))),negate(c))),
    inference(congruence,[status(thm)],[c673]) ).

cnf(c675,plain,
    negate(add(c,add(negate(c),negate(add(c,negate(c)))))) = negate(add(c,add(negate(add(c,negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c674]) ).

cnf(c676,plain,
    add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c))))))) = add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c675]) ).

cnf(c677,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c676]) ).

cnf(c678,plain,
    add(c,add(negate(add(c,negate(c))),negate(c))) = add(negate(add(c,negate(c))),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c679,plain,
    negate(add(c,add(negate(add(c,negate(c))),negate(c)))) = negate(add(negate(add(c,negate(c))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c678]) ).

cnf(c680,plain,
    add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c))))) = add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c679]) ).

cnf(c681,plain,
    negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) = negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c680]) ).

cnf(c682,plain,
    add(negate(c),add(X2,negate(c))) = add(X2,add(negate(c),negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c683,plain,
    add(c,add(negate(c),add(X2,negate(c)))) = add(c,add(X2,add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c682]) ).

cnf(c684,plain,
    add(c,add(negate(c),add(X2,negate(c)))) = add(X2,add(c,negate(c))),
    inference(transitivity,[status(thm)],[c683,c604]) ).

cnf(c685,plain,
    add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c)))) = add(negate(add(c,negate(c))),add(c,negate(c))),
    inference(substitution,[status(thm)],[c684]) ).

cnf(c686,plain,
    add(negate(add(c,negate(c))),add(c,negate(c))) = add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c)))),
    inference(symmetry,[status(thm)],[c685]) ).

cnf(c687,plain,
    negate(add(negate(add(c,negate(c))),add(c,negate(c)))) = negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c686]) ).

cnf(c688,plain,
    add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c))))) = add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c687]) ).

cnf(c689,plain,
    negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))) = negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c))))))),
    inference(congruence,[status(thm)],[c688]) ).

cnf(c690,plain,
    c = add(c,c),
    inference(symmetry,[status(thm)],[c86]) ).

cnf(c691,plain,
    negate(c) = negate(add(c,c)),
    inference(congruence,[status(thm)],[c690]) ).

cnf(c692,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(add(c,negate(c))),negate(add(c,c))),
    inference(congruence,[status(thm)],[c691]) ).

cnf(c693,plain,
    add(negate(c),add(negate(add(c,negate(c))),negate(c))) = add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))),
    inference(congruence,[status(thm)],[c692]) ).

cnf(c694,plain,
    add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c)))) = add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c))))),
    inference(congruence,[status(thm)],[c693]) ).

cnf(c695,plain,
    negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c))))) = negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))))),
    inference(congruence,[status(thm)],[c694]) ).

cnf(c696,plain,
    add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c)))))) = add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c))))))),
    inference(congruence,[status(thm)],[c695]) ).

cnf(c697,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c))))))) = negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))))))),
    inference(congruence,[status(thm)],[c696]) ).

cnf(c698,plain,
    c = negate(add(negate(c),negate(add(c,negate(c))))),
    inference(symmetry,[status(thm)],[c183]) ).

cnf(c699,plain,
    add(c,c) = add(c,negate(add(negate(c),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c698]) ).

cnf(c700,plain,
    negate(add(c,c)) = negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c699]) ).

cnf(c701,plain,
    add(negate(add(c,negate(c))),negate(add(c,c))) = add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))),
    inference(congruence,[status(thm)],[c700]) ).

cnf(c702,plain,
    add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))) = add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))),
    inference(congruence,[status(thm)],[c701]) ).

cnf(c703,plain,
    add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c))))) = add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))),
    inference(congruence,[status(thm)],[c702]) ).

cnf(c704,plain,
    negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))))) = negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))),
    inference(congruence,[status(thm)],[c703]) ).

cnf(c705,plain,
    add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c))))))) = add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))),
    inference(congruence,[status(thm)],[c704]) ).

cnf(c706,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))))))) = negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))))),
    inference(congruence,[status(thm)],[c705]) ).

cnf(c707,plain,
    add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))) = add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c708,plain,
    add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))) = add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))),
    inference(symmetry,[status(thm)],[c707]) ).

cnf(c709,plain,
    add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))) = add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))),
    inference(congruence,[status(thm)],[c708]) ).

cnf(c710,plain,
    negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))) = negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))),
    inference(congruence,[status(thm)],[c709]) ).

cnf(c711,plain,
    add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = add(negate(c),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))),
    inference(congruence,[status(thm)],[c710]) ).

cnf(c712,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))))) = negate(add(negate(c),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))),
    inference(congruence,[status(thm)],[c711]) ).

cnf(c713,plain,
    c = add(c,c),
    inference(symmetry,[status(thm)],[c86]) ).

cnf(c714,plain,
    negate(c) = negate(add(c,c)),
    inference(congruence,[status(thm)],[c713]) ).

cnf(c715,plain,
    add(negate(c),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))) = add(negate(add(c,c)),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))),
    inference(congruence,[status(thm)],[c714]) ).

cnf(c716,plain,
    negate(add(negate(c),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = negate(add(negate(add(c,c)),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))),
    inference(congruence,[status(thm)],[c715]) ).

cnf(c717,plain,
    c = negate(add(negate(c),negate(add(c,negate(c))))),
    inference(symmetry,[status(thm)],[c183]) ).

cnf(c718,plain,
    add(c,c) = add(c,negate(add(negate(c),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c717]) ).

cnf(c719,plain,
    negate(add(c,c)) = negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c718]) ).

cnf(c720,plain,
    add(negate(add(c,c)),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))) = add(negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))),
    inference(congruence,[status(thm)],[c719]) ).

cnf(c721,plain,
    negate(add(negate(add(c,c)),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = negate(add(negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))),
    inference(congruence,[status(thm)],[c720]) ).

cnf(c722,plain,
    add(negate(add(c,negate(X2))),X2) = add(X2,negate(add(c,negate(X2)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c723,plain,
    add(X2,negate(add(c,negate(X2)))) = add(negate(add(c,negate(X2))),X2),
    inference(symmetry,[status(thm)],[c722]) ).

cnf(c724,plain,
    add(c,add(X2,negate(add(c,negate(X2))))) = add(c,add(negate(add(c,negate(X2))),X2)),
    inference(congruence,[status(thm)],[c723]) ).

cnf(c725,plain,
    negate(add(c,add(X2,negate(add(c,negate(X2)))))) = negate(add(c,add(negate(add(c,negate(X2))),X2))),
    inference(congruence,[status(thm)],[c724]) ).

cnf(c726,plain,
    add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2))))))) = add(negate(add(c,negate(X2))),negate(add(c,add(negate(add(c,negate(X2))),X2)))),
    inference(congruence,[status(thm)],[c725]) ).

cnf(c727,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2)))))))) = negate(add(negate(add(c,negate(X2))),negate(add(c,add(negate(add(c,negate(X2))),X2))))),
    inference(congruence,[status(thm)],[c726]) ).

cnf(c728,plain,
    add(add(c,negate(add(c,negate(X2)))),X2) = add(c,add(negate(add(c,negate(X2))),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c729,plain,
    add(c,add(negate(add(c,negate(X2))),X2)) = add(add(c,negate(add(c,negate(X2)))),X2),
    inference(symmetry,[status(thm)],[c728]) ).

cnf(c730,plain,
    negate(add(c,add(negate(add(c,negate(X2))),X2))) = negate(add(add(c,negate(add(c,negate(X2)))),X2)),
    inference(congruence,[status(thm)],[c729]) ).

cnf(c731,plain,
    add(negate(add(c,negate(X2))),negate(add(c,add(negate(add(c,negate(X2))),X2)))) = add(negate(add(c,negate(X2))),negate(add(add(c,negate(add(c,negate(X2)))),X2))),
    inference(congruence,[status(thm)],[c730]) ).

cnf(c732,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(negate(add(c,negate(X2))),X2))))) = negate(add(negate(add(c,negate(X2))),negate(add(add(c,negate(add(c,negate(X2)))),X2)))),
    inference(congruence,[status(thm)],[c731]) ).

cnf(c733,plain,
    add(X2,add(c,negate(add(c,negate(X2))))) = add(add(c,negate(add(c,negate(X2)))),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c734,plain,
    add(add(c,negate(add(c,negate(X2)))),X2) = add(X2,add(c,negate(add(c,negate(X2))))),
    inference(symmetry,[status(thm)],[c733]) ).

cnf(c735,plain,
    negate(add(add(c,negate(add(c,negate(X2)))),X2)) = negate(add(X2,add(c,negate(add(c,negate(X2)))))),
    inference(congruence,[status(thm)],[c734]) ).

cnf(c736,plain,
    add(negate(add(c,negate(X2))),negate(add(add(c,negate(add(c,negate(X2)))),X2))) = add(negate(add(c,negate(X2))),negate(add(X2,add(c,negate(add(c,negate(X2))))))),
    inference(congruence,[status(thm)],[c735]) ).

cnf(c737,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(add(c,negate(add(c,negate(X2)))),X2)))) = negate(add(negate(add(c,negate(X2))),negate(add(X2,add(c,negate(add(c,negate(X2)))))))),
    inference(congruence,[status(thm)],[c736]) ).

cnf(c738,plain,
    add(X2,add(c,negate(add(c,negate(X2))))) = add(c,add(X2,negate(add(c,negate(X2))))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c739,plain,
    negate(add(X2,add(c,negate(add(c,negate(X2)))))) = negate(add(c,add(X2,negate(add(c,negate(X2)))))),
    inference(congruence,[status(thm)],[c738]) ).

cnf(c740,plain,
    add(negate(add(c,negate(X2))),negate(add(X2,add(c,negate(add(c,negate(X2))))))) = add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2))))))),
    inference(congruence,[status(thm)],[c739]) ).

cnf(c741,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(X2,add(c,negate(add(c,negate(X2)))))))) = negate(add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2)))))))),
    inference(congruence,[status(thm)],[c740]) ).

cnf(c742,plain,
    add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2)))) = add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2))))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c743,plain,
    add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2))))))) = add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2)))),
    inference(symmetry,[status(thm)],[c742]) ).

cnf(c744,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2)))))))) = negate(add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2))))),
    inference(congruence,[status(thm)],[c743]) ).

cnf(c745,plain,
    negate(add(c,negate(add(c,add(X2,negate(add(c,negate(X2)))))))) = negate(add(c,negate(X2))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c746,plain,
    negate(add(c,negate(X2))) = negate(add(c,negate(add(c,add(X2,negate(add(c,negate(X2)))))))),
    inference(symmetry,[status(thm)],[c745]) ).

cnf(c747,plain,
    add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2)))) = add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(add(c,add(X2,negate(add(c,negate(X2))))))))),
    inference(congruence,[status(thm)],[c746]) ).

cnf(c748,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2))))) = negate(add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(add(c,add(X2,negate(add(c,negate(X2)))))))))),
    inference(congruence,[status(thm)],[c747]) ).

cnf(c749,plain,
    add(X2,c) = add(c,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c750,plain,
    add(c,X2) = add(X2,c),
    inference(symmetry,[status(thm)],[c749]) ).

cnf(c751,plain,
    negate(add(c,X2)) = negate(add(X2,c)),
    inference(congruence,[status(thm)],[c750]) ).

cnf(c752,plain,
    add(c,negate(add(c,X2))) = add(c,negate(add(X2,c))),
    inference(congruence,[status(thm)],[c751]) ).

cnf(c753,plain,
    negate(add(c,negate(add(c,X2)))) = negate(add(c,negate(add(X2,c)))),
    inference(congruence,[status(thm)],[c752]) ).

cnf(c754,plain,
    add(negate(add(c,X2)),negate(add(c,negate(add(c,X2))))) = add(negate(add(c,X2)),negate(add(c,negate(add(X2,c))))),
    inference(congruence,[status(thm)],[c753]) ).

cnf(c755,plain,
    negate(add(negate(add(c,X2)),negate(add(c,negate(add(c,X2)))))) = negate(add(negate(add(c,X2)),negate(add(c,negate(add(X2,c)))))),
    inference(congruence,[status(thm)],[c754]) ).

cnf(c756,plain,
    add(X2,c) = add(c,X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c757,plain,
    add(c,X2) = add(X2,c),
    inference(symmetry,[status(thm)],[c756]) ).

cnf(c758,plain,
    negate(add(c,X2)) = negate(add(X2,c)),
    inference(congruence,[status(thm)],[c757]) ).

cnf(c759,plain,
    add(negate(add(c,X2)),negate(add(c,negate(add(X2,c))))) = add(negate(add(X2,c)),negate(add(c,negate(add(X2,c))))),
    inference(congruence,[status(thm)],[c758]) ).

cnf(c760,plain,
    negate(add(negate(add(c,X2)),negate(add(c,negate(add(X2,c)))))) = negate(add(negate(add(X2,c)),negate(add(c,negate(add(X2,c)))))),
    inference(congruence,[status(thm)],[c759]) ).

cnf(c761,plain,
    add(X2,c) = add(c,add(X2,c)),
    inference(symmetry,[status(thm)],[c91]) ).

cnf(c762,plain,
    negate(add(X2,c)) = negate(add(c,add(X2,c))),
    inference(congruence,[status(thm)],[c761]) ).

cnf(c763,plain,
    add(negate(add(X2,c)),negate(add(c,negate(add(X2,c))))) = add(negate(add(c,add(X2,c))),negate(add(c,negate(add(X2,c))))),
    inference(congruence,[status(thm)],[c762]) ).

cnf(c764,plain,
    negate(add(negate(add(X2,c)),negate(add(c,negate(add(X2,c)))))) = negate(add(negate(add(c,add(X2,c))),negate(add(c,negate(add(X2,c)))))),
    inference(congruence,[status(thm)],[c763]) ).

cnf(c765,plain,
    negate(add(negate(add(c,add(X2,c))),negate(add(c,negate(add(X2,c)))))) = c,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c766,plain,
    negate(add(negate(add(X2,c)),negate(add(c,negate(add(X2,c)))))) = c,
    inference(transitivity,[status(thm)],[c764,c765]) ).

cnf(c767,plain,
    negate(add(negate(add(c,X2)),negate(add(c,negate(add(X2,c)))))) = c,
    inference(transitivity,[status(thm)],[c760,c766]) ).

cnf(c768,plain,
    negate(add(negate(add(c,X2)),negate(add(c,negate(add(c,X2)))))) = c,
    inference(transitivity,[status(thm)],[c755,c767]) ).

cnf(c769,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(add(c,add(X2,negate(add(c,negate(X2)))))))))) = c,
    inference(substitution,[status(thm)],[c768]) ).

cnf(c770,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(X2)))))),negate(add(c,negate(X2))))) = c,
    inference(transitivity,[status(thm)],[c748,c769]) ).

cnf(c771,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2)))))))) = c,
    inference(transitivity,[status(thm)],[c744,c770]) ).

cnf(c772,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(X2,add(c,negate(add(c,negate(X2)))))))) = c,
    inference(transitivity,[status(thm)],[c741,c771]) ).

cnf(c773,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(add(c,negate(add(c,negate(X2)))),X2)))) = c,
    inference(transitivity,[status(thm)],[c737,c772]) ).

cnf(c774,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(negate(add(c,negate(X2))),X2))))) = c,
    inference(transitivity,[status(thm)],[c732,c773]) ).

cnf(c775,plain,
    negate(add(negate(add(c,negate(X2))),negate(add(c,add(X2,negate(add(c,negate(X2)))))))) = c,
    inference(transitivity,[status(thm)],[c727,c774]) ).

cnf(c776,plain,
    negate(add(negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = c,
    inference(substitution,[status(thm)],[c775]) ).

cnf(c777,plain,
    negate(add(negate(add(c,c)),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = c,
    inference(transitivity,[status(thm)],[c721,c776]) ).

cnf(c778,plain,
    negate(add(negate(c),negate(add(c,add(add(negate(c),negate(add(c,negate(c)))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c)))))))))))) = c,
    inference(transitivity,[status(thm)],[c716,c777]) ).

cnf(c779,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,negate(add(negate(c),negate(add(c,negate(c))))))))))))) = c,
    inference(transitivity,[status(thm)],[c712,c778]) ).

cnf(c780,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(add(c,c)))))))) = c,
    inference(transitivity,[status(thm)],[c706,c779]) ).

cnf(c781,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),add(negate(add(c,negate(c))),negate(c))))))) = c,
    inference(transitivity,[status(thm)],[c697,c780]) ).

cnf(c782,plain,
    negate(add(negate(c),negate(add(negate(add(c,negate(c))),add(c,negate(c)))))) = c,
    inference(transitivity,[status(thm)],[c689,c781]) ).

cnf(c783,plain,
    negate(add(negate(c),negate(add(c,add(negate(add(c,negate(c))),negate(c)))))) = c,
    inference(transitivity,[status(thm)],[c681,c782]) ).

cnf(c784,plain,
    negate(add(negate(c),negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = c,
    inference(transitivity,[status(thm)],[c677,c783]) ).

cnf(c785,plain,
    add(c,negate(add(c,negate(c)))) = c,
    inference(transitivity,[status(thm)],[c671,c784]) ).

cnf(c786,plain,
    add(add(c,negate(add(c,negate(c)))),X2) = add(c,X2),
    inference(congruence,[status(thm)],[c785]) ).

cnf(c787,plain,
    add(c,X2) = add(X2,c),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c788,plain,
    add(add(c,negate(add(c,negate(c)))),X2) = add(X2,c),
    inference(transitivity,[status(thm)],[c786,c787]) ).

cnf(c789,plain,
    add(c,add(negate(add(c,negate(c))),X2)) = add(X2,c),
    inference(transitivity,[status(thm)],[c643,c788]) ).

cnf(c790,plain,
    add(c,add(X2,negate(add(c,negate(c))))) = add(X2,c),
    inference(transitivity,[status(thm)],[c641,c789]) ).

cnf(c791,plain,
    add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c))))) = add(add(negate(c),negate(negate(c))),c),
    inference(substitution,[status(thm)],[c790]) ).

cnf(c792,plain,
    add(add(negate(c),negate(negate(c))),c) = add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c))))),
    inference(symmetry,[status(thm)],[c791]) ).

cnf(c793,plain,
    negate(add(add(negate(c),negate(negate(c))),c)) = negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c792]) ).

cnf(c794,plain,
    add(negate(add(add(negate(c),negate(negate(c))),c)),add(c,negate(c))) = add(negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c793]) ).

cnf(c795,plain,
    negate(add(negate(add(add(negate(c),negate(negate(c))),c)),add(c,negate(c)))) = negate(add(negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c794]) ).

cnf(c796,plain,
    add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c)))) = add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c))))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c797,plain,
    add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c))))) = add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c796]) ).

cnf(c798,plain,
    negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))) = negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c797]) ).

cnf(c799,plain,
    add(negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),add(c,negate(c))) = add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c798]) ).

cnf(c800,plain,
    negate(add(negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),add(c,negate(c)))) = negate(add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c799]) ).

cnf(c801,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c802,plain,
    add(negate(c),negate(negate(c))) = add(negate(negate(c)),negate(c)),
    inference(symmetry,[status(thm)],[c801]) ).

cnf(c803,plain,
    add(c,add(negate(c),negate(negate(c)))) = add(c,add(negate(negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c802]) ).

cnf(c804,plain,
    negate(add(c,add(negate(c),negate(negate(c))))) = negate(add(c,add(negate(negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c803]) ).

cnf(c805,plain,
    add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c)))))) = add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c804]) ).

cnf(c806,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c))))))) = negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c805]) ).

cnf(c807,plain,
    add(c,add(negate(negate(c)),negate(c))) = add(negate(negate(c)),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c808,plain,
    negate(add(c,add(negate(negate(c)),negate(c)))) = negate(add(negate(negate(c)),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c807]) ).

cnf(c809,plain,
    add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c))))) = add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c808]) ).

cnf(c810,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))) = negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c809]) ).

cnf(c811,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(c)))),
    inference(symmetry,[status(thm)],[c209]) ).

cnf(c812,plain,
    add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c))))) = add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(negate(c)),add(c,negate(c))))),
    inference(congruence,[status(thm)],[c811]) ).

cnf(c813,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))) = negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(negate(c)),add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c812]) ).

cnf(c814,plain,
    add(X4,add(X3,X2)) = add(X3,add(X4,X2)),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c815,plain,
    negate(add(X4,add(X3,X2))) = negate(add(X3,add(X4,X2))),
    inference(congruence,[status(thm)],[c814]) ).

cnf(c816,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(negate(X3),add(X4,X2)))) = add(negate(add(X3,add(X4,X2))),negate(add(negate(X3),add(X4,X2)))),
    inference(congruence,[status(thm)],[c815]) ).

cnf(c817,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(negate(X3),add(X4,X2))))) = negate(add(negate(add(X3,add(X4,X2))),negate(add(negate(X3),add(X4,X2))))),
    inference(congruence,[status(thm)],[c816]) ).

cnf(c818,plain,
    negate(add(negate(add(X3,add(X4,X2))),negate(add(negate(X3),add(X4,X2))))) = add(X4,X2),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c819,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(negate(X3),add(X4,X2))))) = add(X4,X2),
    inference(transitivity,[status(thm)],[c817,c818]) ).

cnf(c820,plain,
    negate(add(negate(add(c,add(negate(c),negate(c)))),negate(add(negate(negate(c)),add(c,negate(c)))))) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c819]) ).

cnf(c821,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c813,c820]) ).

cnf(c822,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c810,c821]) ).

cnf(c823,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c))))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c806,c822]) ).

cnf(c824,plain,
    add(c,negate(c)) = negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c))))))),
    inference(symmetry,[status(thm)],[c823]) ).

cnf(c825,plain,
    add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),add(c,negate(c))) = add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c824]) ).

cnf(c826,plain,
    negate(add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),add(c,negate(c)))) = negate(add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c825]) ).

cnf(c827,plain,
    negate(add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(c),negate(negate(c))))))))) = negate(add(c,negate(c))),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c828,plain,
    negate(add(negate(add(add(c,add(negate(c),negate(negate(c)))),negate(add(c,negate(c))))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c826,c827]) ).

cnf(c829,plain,
    negate(add(negate(add(c,add(add(negate(c),negate(negate(c))),negate(add(c,negate(c)))))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c800,c828]) ).

cnf(c830,plain,
    negate(add(negate(add(add(negate(c),negate(negate(c))),c)),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c795,c829]) ).

cnf(c831,plain,
    negate(add(negate(add(negate(c),add(negate(negate(c)),c))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c638,c830]) ).

cnf(c832,plain,
    negate(add(c,add(negate(add(negate(c),add(negate(negate(c)),c))),negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c633,c831]) ).

cnf(c833,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),c)))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c631,c832]) ).

cnf(c834,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c627,c833]) ).

cnf(c835,plain,
    negate(add(c,add(negate(c),negate(add(c,add(negate(c),negate(negate(c)))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c620,c834]) ).

cnf(c836,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c615,c835]) ).

cnf(c837,plain,
    negate(add(c,negate(c))) = negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),
    inference(symmetry,[status(thm)],[c836]) ).

cnf(c838,plain,
    add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,negate(c)))) = add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c837]) ).

cnf(c839,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,negate(c))))) = negate(add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c838]) ).

cnf(c840,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))))) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c384]) ).

cnf(c841,plain,
    negate(add(negate(add(c,add(negate(c),add(negate(c),negate(negate(c)))))),negate(add(c,negate(c))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c839,c840]) ).

cnf(c842,plain,
    negate(add(negate(add(negate(negate(c)),add(c,negate(c)))),negate(add(c,negate(c))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c611,c841]) ).

cnf(c843,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(negate(c)),add(c,negate(c)))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c574,c842]) ).

cnf(c844,plain,
    negate(add(negate(add(c,negate(c))),negate(add(c,add(negate(negate(c)),negate(c)))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c571,c843]) ).

cnf(c845,plain,
    negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))) = add(c,negate(c)),
    inference(transitivity,[status(thm)],[c567,c844]) ).

cnf(c846,plain,
    add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c))))))) = add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c845]) ).

cnf(c847,plain,
    negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))))) = negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c846]) ).

cnf(c848,plain,
    add(add(c,negate(c)),negate(add(negate(c),negate(negate(c))))) = add(c,add(negate(c),negate(add(negate(c),negate(negate(c)))))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c849,plain,
    negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))) = negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),
    inference(congruence,[status(thm)],[c848]) ).

cnf(c850,plain,
    add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),add(c,negate(c))) = add(negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c849]) ).

cnf(c851,plain,
    negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),add(c,negate(c)))) = negate(add(negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c850]) ).

cnf(c852,plain,
    add(negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),add(c,negate(c))) = add(negate(add(c,negate(c))),add(c,negate(c))),
    inference(congruence,[status(thm)],[c836]) ).

cnf(c853,plain,
    negate(add(negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),add(c,negate(c)))) = negate(add(negate(add(c,negate(c))),add(c,negate(c)))),
    inference(congruence,[status(thm)],[c852]) ).

cnf(c854,plain,
    add(c,add(negate(add(c,negate(c))),negate(c))) = add(negate(add(c,negate(c))),add(c,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c855,plain,
    add(negate(add(c,negate(c))),add(c,negate(c))) = add(c,add(negate(add(c,negate(c))),negate(c))),
    inference(symmetry,[status(thm)],[c854]) ).

cnf(c856,plain,
    negate(add(negate(add(c,negate(c))),add(c,negate(c)))) = negate(add(c,add(negate(add(c,negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c855]) ).

cnf(c857,plain,
    add(X2,negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c858,plain,
    add(negate(add(c,negate(c))),X2) = add(X2,negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c857]) ).

cnf(c859,plain,
    add(c,add(negate(add(c,negate(c))),X2)) = add(c,add(X2,negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c858]) ).

cnf(c860,plain,
    add(c,add(negate(add(c,negate(c))),X2)) = add(X2,c),
    inference(transitivity,[status(thm)],[c859,c790]) ).

cnf(c861,plain,
    add(c,add(negate(add(c,negate(c))),negate(c))) = add(negate(c),c),
    inference(substitution,[status(thm)],[c860]) ).

cnf(c862,plain,
    negate(add(c,add(negate(add(c,negate(c))),negate(c)))) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c861]) ).

cnf(c863,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c864,plain,
    negate(add(negate(c),c)) = negate(add(c,negate(c))),
    inference(congruence,[status(thm)],[c863]) ).

cnf(c865,plain,
    negate(add(c,add(negate(add(c,negate(c))),negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c862,c864]) ).

cnf(c866,plain,
    negate(add(negate(add(c,negate(c))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c856,c865]) ).

cnf(c867,plain,
    negate(add(negate(add(c,add(negate(c),negate(add(negate(c),negate(negate(c))))))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c853,c866]) ).

cnf(c868,plain,
    negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),add(c,negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c851,c867]) ).

cnf(c869,plain,
    negate(add(negate(add(add(c,negate(c)),negate(add(negate(c),negate(negate(c)))))),negate(add(negate(add(c,negate(c))),negate(add(negate(c),negate(negate(c)))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c847,c868]) ).

cnf(c870,plain,
    negate(add(negate(c),negate(negate(c)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c50,c869]) ).

cnf(c871,plain,
    negate(add(c,negate(c))) = negate(add(negate(c),negate(negate(c)))),
    inference(symmetry,[status(thm)],[c870]) ).

cnf(c872,plain,
    add(negate(add(c,negate(c))),negate(c)) = add(negate(add(negate(c),negate(negate(c)))),negate(c)),
    inference(congruence,[status(thm)],[c871]) ).

cnf(c873,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c874,plain,
    negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))) = negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))),
    inference(symmetry,[status(thm)],[c873]) ).

cnf(c875,plain,
    add(negate(c),add(negate(negate(c)),negate(negate(c)))) = add(negate(negate(c)),add(negate(c),negate(negate(c)))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c876,plain,
    negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))) = negate(add(negate(negate(c)),add(negate(c),negate(negate(c))))),
    inference(congruence,[status(thm)],[c875]) ).

cnf(c877,plain,
    add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),negate(negate(c)))))),
    inference(congruence,[status(thm)],[c876]) ).

cnf(c878,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),negate(negate(c))))))),
    inference(congruence,[status(thm)],[c877]) ).

cnf(c879,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c880,plain,
    add(negate(c),negate(negate(c))) = add(negate(negate(c)),negate(c)),
    inference(symmetry,[status(thm)],[c879]) ).

cnf(c881,plain,
    add(negate(negate(c)),add(negate(c),negate(negate(c)))) = add(negate(negate(c)),add(negate(negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c880]) ).

cnf(c882,plain,
    negate(add(negate(negate(c)),add(negate(c),negate(negate(c))))) = negate(add(negate(negate(c)),add(negate(negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c881]) ).

cnf(c883,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),negate(negate(c)))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c882]) ).

cnf(c884,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),negate(negate(c))))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c883]) ).

cnf(c885,plain,
    add(negate(c),X2) = add(X2,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c886,plain,
    add(X2,negate(c)) = add(negate(c),X2),
    inference(symmetry,[status(thm)],[c885]) ).

cnf(c887,plain,
    add(negate(c),add(X2,negate(c))) = add(negate(c),add(negate(c),X2)),
    inference(congruence,[status(thm)],[c886]) ).

cnf(c888,plain,
    add(add(negate(c),negate(c)),X2) = add(negate(c),add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c889,plain,
    add(negate(c),add(negate(c),X2)) = add(add(negate(c),negate(c)),X2),
    inference(symmetry,[status(thm)],[c888]) ).

cnf(c890,plain,
    add(add(negate(c),negate(c)),X2) = add(negate(c),X2),
    inference(congruence,[status(thm)],[c504]) ).

cnf(c891,plain,
    add(negate(c),X2) = add(X2,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c892,plain,
    add(add(negate(c),negate(c)),X2) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c890,c891]) ).

cnf(c893,plain,
    add(negate(c),add(negate(c),X2)) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c889,c892]) ).

cnf(c894,plain,
    add(negate(c),add(X2,negate(c))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c887,c893]) ).

cnf(c895,plain,
    add(negate(c),add(negate(negate(c)),negate(c))) = add(negate(negate(c)),negate(c)),
    inference(substitution,[status(thm)],[c894]) ).

cnf(c896,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),add(negate(negate(c)),negate(c))),
    inference(symmetry,[status(thm)],[c895]) ).

cnf(c897,plain,
    add(negate(negate(c)),add(negate(negate(c)),negate(c))) = add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c)))),
    inference(congruence,[status(thm)],[c896]) ).

cnf(c898,plain,
    negate(add(negate(negate(c)),add(negate(negate(c)),negate(c)))) = negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c))))),
    inference(congruence,[status(thm)],[c897]) ).

cnf(c899,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(negate(c)),negate(c))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c)))))),
    inference(congruence,[status(thm)],[c898]) ).

cnf(c900,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(negate(c)),negate(c)))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c))))))),
    inference(congruence,[status(thm)],[c899]) ).

cnf(c901,plain,
    add(add(negate(c),negate(negate(c))),negate(c)) = add(negate(c),add(negate(negate(c)),negate(c))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c902,plain,
    add(negate(c),add(negate(negate(c)),negate(c))) = add(add(negate(c),negate(negate(c))),negate(c)),
    inference(symmetry,[status(thm)],[c901]) ).

cnf(c903,plain,
    add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c)))) = add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c))),
    inference(congruence,[status(thm)],[c902]) ).

cnf(c904,plain,
    negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c))))) = negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c)))),
    inference(congruence,[status(thm)],[c903]) ).

cnf(c905,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c)))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c))))),
    inference(congruence,[status(thm)],[c904]) ).

cnf(c906,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c))))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c)))))),
    inference(congruence,[status(thm)],[c905]) ).

cnf(c907,plain,
    negate(c) = add(negate(c),negate(c)),
    inference(symmetry,[status(thm)],[c504]) ).

cnf(c908,plain,
    negate(negate(c)) = negate(add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c907]) ).

cnf(c909,plain,
    add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))) = add(negate(add(negate(c),negate(c))),negate(add(negate(c),negate(negate(c))))),
    inference(congruence,[status(thm)],[c908]) ).

cnf(c910,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))) = negate(add(negate(add(negate(c),negate(c))),negate(add(negate(c),negate(negate(c)))))),
    inference(congruence,[status(thm)],[c909]) ).

cnf(c911,plain,
    negate(add(negate(add(negate(c),negate(c))),negate(add(negate(c),negate(negate(c)))))) = negate(c),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c912,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c910,c911]) ).

cnf(c913,plain,
    negate(c) = negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))),
    inference(symmetry,[status(thm)],[c912]) ).

cnf(c914,plain,
    add(add(negate(c),negate(negate(c))),negate(c)) = add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))))),
    inference(congruence,[status(thm)],[c913]) ).

cnf(c915,plain,
    add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c))) = add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c914]) ).

cnf(c916,plain,
    negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c)))) = negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c915]) ).

cnf(c917,plain,
    add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c))))) = add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))))))),
    inference(congruence,[status(thm)],[c916]) ).

cnf(c918,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c)))))) = negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))))))))),
    inference(congruence,[status(thm)],[c917]) ).

cnf(c919,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))))))))) = negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c)))))),
    inference(substitution,[status(thm)],[c282]) ).

cnf(c920,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(add(negate(negate(c)),negate(add(negate(c),negate(negate(c))))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c919,c912]) ).

cnf(c921,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(add(negate(c),negate(negate(c))),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c918,c920]) ).

cnf(c922,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),add(negate(negate(c)),negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c906,c921]) ).

cnf(c923,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(negate(c)),negate(c)))))) = negate(c),
    inference(transitivity,[status(thm)],[c900,c922]) ).

cnf(c924,plain,
    negate(add(negate(negate(c)),negate(add(negate(negate(c)),add(negate(c),negate(negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c884,c923]) ).

cnf(c925,plain,
    negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c878,c924]) ).

cnf(c926,plain,
    add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))) = add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(c)),
    inference(congruence,[status(thm)],[c925]) ).

cnf(c927,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(c))),
    inference(congruence,[status(thm)],[c926]) ).

cnf(c928,plain,
    negate(c) = add(negate(c),negate(c)),
    inference(symmetry,[status(thm)],[c504]) ).

cnf(c929,plain,
    negate(negate(c)) = negate(add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c928]) ).

cnf(c930,plain,
    add(negate(negate(c)),negate(negate(c))) = add(negate(negate(c)),negate(add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c929]) ).

cnf(c931,plain,
    add(negate(c),add(negate(negate(c)),negate(negate(c)))) = add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c930]) ).

cnf(c932,plain,
    negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))) = negate(add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c931]) ).

cnf(c933,plain,
    add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c))))))),
    inference(congruence,[status(thm)],[c932]) ).

cnf(c934,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))) = negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c)))))))),
    inference(congruence,[status(thm)],[c933]) ).

cnf(c935,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c)))))))) = negate(add(negate(c),negate(c))),
    inference(substitution,[status(thm)],[c483]) ).

cnf(c936,plain,
    negate(add(negate(c),negate(c))) = negate(negate(c)),
    inference(congruence,[status(thm)],[c504]) ).

cnf(c937,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(add(negate(c),negate(c)))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c935,c936]) ).

cnf(c938,plain,
    negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c934,c937]) ).

cnf(c939,plain,
    add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(c)) = add(negate(negate(c)),negate(c)),
    inference(congruence,[status(thm)],[c938]) ).

cnf(c940,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(c))) = negate(add(negate(negate(c)),negate(c))),
    inference(congruence,[status(thm)],[c939]) ).

cnf(c941,plain,
    add(negate(negate(c)),negate(c)) = add(negate(c),negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c942,plain,
    negate(add(negate(negate(c)),negate(c))) = negate(add(negate(c),negate(negate(c)))),
    inference(congruence,[status(thm)],[c941]) ).

cnf(c943,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(c))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c940,c942]) ).

cnf(c944,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(negate(negate(c)),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c927,c943]) ).

cnf(c945,plain,
    negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))) = negate(add(negate(c),negate(negate(c)))),
    inference(transitivity,[status(thm)],[c874,c944]) ).

cnf(c946,plain,
    negate(add(negate(c),negate(negate(c)))) = negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),
    inference(symmetry,[status(thm)],[c945]) ).

cnf(c947,plain,
    add(negate(add(negate(c),negate(negate(c)))),negate(c)) = add(negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),negate(c)),
    inference(congruence,[status(thm)],[c946]) ).

cnf(c948,plain,
    add(add(c,negate(c)),X2) = add(c,add(negate(c),X2)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c949,plain,
    add(c,add(negate(c),X2)) = add(add(c,negate(c)),X2),
    inference(symmetry,[status(thm)],[c948]) ).

cnf(c950,plain,
    negate(add(c,add(negate(c),X2))) = negate(add(add(c,negate(c)),X2)),
    inference(congruence,[status(thm)],[c949]) ).

cnf(c951,plain,
    add(negate(add(negate(c),X2)),negate(add(c,add(negate(c),X2)))) = add(negate(add(negate(c),X2)),negate(add(add(c,negate(c)),X2))),
    inference(congruence,[status(thm)],[c950]) ).

cnf(c952,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(c,add(negate(c),X2))))) = negate(add(negate(add(negate(c),X2)),negate(add(add(c,negate(c)),X2)))),
    inference(congruence,[status(thm)],[c951]) ).

cnf(c953,plain,
    add(X2,add(c,negate(c))) = add(add(c,negate(c)),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c954,plain,
    add(add(c,negate(c)),X2) = add(X2,add(c,negate(c))),
    inference(symmetry,[status(thm)],[c953]) ).

cnf(c955,plain,
    negate(add(add(c,negate(c)),X2)) = negate(add(X2,add(c,negate(c)))),
    inference(congruence,[status(thm)],[c954]) ).

cnf(c956,plain,
    add(negate(add(negate(c),X2)),negate(add(add(c,negate(c)),X2))) = add(negate(add(negate(c),X2)),negate(add(X2,add(c,negate(c))))),
    inference(congruence,[status(thm)],[c955]) ).

cnf(c957,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(add(c,negate(c)),X2)))) = negate(add(negate(add(negate(c),X2)),negate(add(X2,add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c956]) ).

cnf(c958,plain,
    add(X2,negate(c)) = add(negate(c),X2),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c959,plain,
    add(negate(c),X2) = add(X2,negate(c)),
    inference(symmetry,[status(thm)],[c958]) ).

cnf(c960,plain,
    negate(add(negate(c),X2)) = negate(add(X2,negate(c))),
    inference(congruence,[status(thm)],[c959]) ).

cnf(c961,plain,
    add(negate(add(negate(c),X2)),negate(add(X2,add(c,negate(c))))) = add(negate(add(X2,negate(c))),negate(add(X2,add(c,negate(c))))),
    inference(congruence,[status(thm)],[c960]) ).

cnf(c962,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(X2,add(c,negate(c)))))) = negate(add(negate(add(X2,negate(c))),negate(add(X2,add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c961]) ).

cnf(c963,plain,
    add(X2,add(c,negate(c))) = add(c,add(X2,negate(c))),
    inference(substitution,[status(thm)],[c25]) ).

cnf(c964,plain,
    negate(add(X2,add(c,negate(c)))) = negate(add(c,add(X2,negate(c)))),
    inference(congruence,[status(thm)],[c963]) ).

cnf(c965,plain,
    add(negate(add(X2,negate(c))),negate(add(X2,add(c,negate(c))))) = add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c))))),
    inference(congruence,[status(thm)],[c964]) ).

cnf(c966,plain,
    negate(add(negate(add(X2,negate(c))),negate(add(X2,add(c,negate(c)))))) = negate(add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c)))))),
    inference(congruence,[status(thm)],[c965]) ).

cnf(c967,plain,
    add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c)))) = add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c))))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c968,plain,
    add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c))))) = add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c)))),
    inference(symmetry,[status(thm)],[c967]) ).

cnf(c969,plain,
    negate(add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c)))))) = negate(add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c))))),
    inference(congruence,[status(thm)],[c968]) ).

cnf(c970,plain,
    negate(c) = add(negate(c),negate(c)),
    inference(symmetry,[status(thm)],[c504]) ).

cnf(c971,plain,
    add(X2,negate(c)) = add(X2,add(negate(c),negate(c))),
    inference(congruence,[status(thm)],[c970]) ).

cnf(c972,plain,
    negate(add(X2,negate(c))) = negate(add(X2,add(negate(c),negate(c)))),
    inference(congruence,[status(thm)],[c971]) ).

cnf(c973,plain,
    add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c)))) = add(negate(add(c,add(X2,negate(c)))),negate(add(X2,add(negate(c),negate(c))))),
    inference(congruence,[status(thm)],[c972]) ).

cnf(c974,plain,
    negate(add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c))))) = negate(add(negate(add(c,add(X2,negate(c)))),negate(add(X2,add(negate(c),negate(c)))))),
    inference(congruence,[status(thm)],[c973]) ).

cnf(c975,plain,
    add(add(X3,X2),negate(X4)) = add(X3,add(X2,negate(X4))),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c976,plain,
    add(X3,add(X2,negate(X4))) = add(add(X3,X2),negate(X4)),
    inference(symmetry,[status(thm)],[c975]) ).

cnf(c977,plain,
    negate(add(X3,add(X2,negate(X4)))) = negate(add(add(X3,X2),negate(X4))),
    inference(congruence,[status(thm)],[c976]) ).

cnf(c978,plain,
    add(negate(add(X4,add(X3,X2))),negate(add(X3,add(X2,negate(X4))))) = add(negate(add(X4,add(X3,X2))),negate(add(add(X3,X2),negate(X4)))),
    inference(congruence,[status(thm)],[c977]) ).

cnf(c979,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X3,add(X2,negate(X4)))))) = negate(add(negate(add(X4,add(X3,X2))),negate(add(add(X3,X2),negate(X4))))),
    inference(congruence,[status(thm)],[c978]) ).

cnf(c980,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(add(X3,X2),negate(X4))))) = add(X3,X2),
    inference(substitution,[status(thm)],[c41]) ).

cnf(c981,plain,
    negate(add(negate(add(X4,add(X3,X2))),negate(add(X3,add(X2,negate(X4)))))) = add(X3,X2),
    inference(transitivity,[status(thm)],[c979,c980]) ).

cnf(c982,plain,
    negate(add(negate(add(c,add(X2,negate(c)))),negate(add(X2,add(negate(c),negate(c)))))) = add(X2,negate(c)),
    inference(substitution,[status(thm)],[c981]) ).

cnf(c983,plain,
    negate(add(negate(add(c,add(X2,negate(c)))),negate(add(X2,negate(c))))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c974,c982]) ).

cnf(c984,plain,
    negate(add(negate(add(X2,negate(c))),negate(add(c,add(X2,negate(c)))))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c969,c983]) ).

cnf(c985,plain,
    negate(add(negate(add(X2,negate(c))),negate(add(X2,add(c,negate(c)))))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c966,c984]) ).

cnf(c986,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(X2,add(c,negate(c)))))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c962,c985]) ).

cnf(c987,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(add(c,negate(c)),X2)))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c957,c986]) ).

cnf(c988,plain,
    negate(add(negate(add(negate(c),X2)),negate(add(c,add(negate(c),X2))))) = add(X2,negate(c)),
    inference(transitivity,[status(thm)],[c952,c987]) ).

cnf(c989,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = add(negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),negate(c)),
    inference(substitution,[status(thm)],[c988]) ).

cnf(c990,plain,
    add(negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),negate(c)) = negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))),
    inference(symmetry,[status(thm)],[c989]) ).

cnf(c991,plain,
    add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = add(negate(negate(c)),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c938]) ).

cnf(c992,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))),
    inference(congruence,[status(thm)],[c991]) ).

cnf(c993,plain,
    negate(add(negate(add(c,negate(negate(c)))),negate(add(negate(c),negate(negate(c)))))) = negate(negate(c)),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c994,plain,
    negate(negate(c)) = negate(add(negate(add(c,negate(negate(c)))),negate(add(negate(c),negate(negate(c)))))),
    inference(symmetry,[status(thm)],[c993]) ).

cnf(c995,plain,
    add(negate(add(c,negate(negate(c)))),negate(add(negate(c),negate(negate(c))))) = add(negate(add(c,negate(negate(c)))),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c870]) ).

cnf(c996,plain,
    negate(add(negate(add(c,negate(negate(c)))),negate(add(negate(c),negate(negate(c)))))) = negate(add(negate(add(c,negate(negate(c)))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c995]) ).

cnf(c997,plain,
    negate(add(c,negate(negate(c)))) = negate(negate(negate(c))),
    inference(congruence,[status(thm)],[c556]) ).

cnf(c998,plain,
    add(negate(add(c,negate(negate(c)))),negate(add(c,negate(c)))) = add(negate(negate(negate(c))),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c997]) ).

cnf(c999,plain,
    negate(add(negate(add(c,negate(negate(c)))),negate(add(c,negate(c))))) = negate(add(negate(negate(negate(c))),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c998]) ).

cnf(c1000,plain,
    add(negate(add(c,negate(c))),negate(negate(c))) = add(negate(negate(c)),negate(add(c,negate(c)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1001,plain,
    add(negate(negate(c)),negate(add(c,negate(c)))) = add(negate(add(c,negate(c))),negate(negate(c))),
    inference(symmetry,[status(thm)],[c1000]) ).

cnf(c1002,plain,
    add(c,add(negate(add(c,negate(c))),negate(negate(c)))) = add(negate(add(c,negate(c))),negate(negate(c))),
    inference(substitution,[status(thm)],[c561]) ).

cnf(c1003,plain,
    add(negate(add(c,negate(c))),negate(negate(c))) = add(c,add(negate(add(c,negate(c))),negate(negate(c)))),
    inference(symmetry,[status(thm)],[c1002]) ).

cnf(c1004,plain,
    add(c,add(negate(add(c,negate(c))),negate(negate(c)))) = add(negate(negate(c)),c),
    inference(substitution,[status(thm)],[c860]) ).

cnf(c1005,plain,
    add(negate(negate(c)),c) = add(c,negate(negate(c))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1006,plain,
    add(negate(negate(c)),c) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c1005,c556]) ).

cnf(c1007,plain,
    add(c,add(negate(add(c,negate(c))),negate(negate(c)))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c1004,c1006]) ).

cnf(c1008,plain,
    add(negate(add(c,negate(c))),negate(negate(c))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c1003,c1007]) ).

cnf(c1009,plain,
    add(negate(negate(c)),negate(add(c,negate(c)))) = negate(negate(c)),
    inference(transitivity,[status(thm)],[c1001,c1008]) ).

cnf(c1010,plain,
    negate(negate(c)) = add(negate(negate(c)),negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c1009]) ).

cnf(c1011,plain,
    negate(negate(negate(c))) = negate(add(negate(negate(c)),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1010]) ).

cnf(c1012,plain,
    negate(negate(negate(c))) = negate(c),
    inference(transitivity,[status(thm)],[c1011,c512]) ).

cnf(c1013,plain,
    add(negate(negate(negate(c))),negate(add(c,negate(c)))) = add(negate(c),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c1012]) ).

cnf(c1014,plain,
    negate(add(negate(negate(negate(c))),negate(add(c,negate(c))))) = negate(add(negate(c),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1013]) ).

cnf(c1015,plain,
    negate(add(negate(negate(negate(c))),negate(add(c,negate(c))))) = c,
    inference(transitivity,[status(thm)],[c1014,c183]) ).

cnf(c1016,plain,
    negate(add(negate(add(c,negate(negate(c)))),negate(add(c,negate(c))))) = c,
    inference(transitivity,[status(thm)],[c999,c1015]) ).

cnf(c1017,plain,
    negate(add(negate(add(c,negate(negate(c)))),negate(add(negate(c),negate(negate(c)))))) = c,
    inference(transitivity,[status(thm)],[c996,c1016]) ).

cnf(c1018,plain,
    negate(negate(c)) = c,
    inference(transitivity,[status(thm)],[c994,c1017]) ).

cnf(c1019,plain,
    add(negate(negate(c)),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c1018]) ).

cnf(c1020,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))),
    inference(congruence,[status(thm)],[c1019]) ).

cnf(c1021,plain,
    add(negate(negate(c)),negate(negate(c))) = add(c,negate(negate(c))),
    inference(congruence,[status(thm)],[c1018]) ).

cnf(c1022,plain,
    add(negate(c),add(negate(negate(c)),negate(negate(c)))) = add(negate(c),add(c,negate(negate(c)))),
    inference(congruence,[status(thm)],[c1021]) ).

cnf(c1023,plain,
    negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))) = negate(add(negate(c),add(c,negate(negate(c))))),
    inference(congruence,[status(thm)],[c1022]) ).

cnf(c1024,plain,
    add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))),
    inference(congruence,[status(thm)],[c1023]) ).

cnf(c1025,plain,
    add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))) = add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))),
    inference(congruence,[status(thm)],[c1024]) ).

cnf(c1026,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))) = negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))),
    inference(congruence,[status(thm)],[c1025]) ).

cnf(c1027,plain,
    add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))))) = add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))))),
    inference(congruence,[status(thm)],[c1026]) ).

cnf(c1028,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))))),
    inference(congruence,[status(thm)],[c1027]) ).

cnf(c1029,plain,
    add(c,negate(negate(c))) = add(c,c),
    inference(congruence,[status(thm)],[c1018]) ).

cnf(c1030,plain,
    add(negate(c),add(c,negate(negate(c)))) = add(negate(c),add(c,c)),
    inference(congruence,[status(thm)],[c1029]) ).

cnf(c1031,plain,
    negate(add(negate(c),add(c,negate(negate(c))))) = negate(add(negate(c),add(c,c))),
    inference(congruence,[status(thm)],[c1030]) ).

cnf(c1032,plain,
    add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))) = add(negate(c),negate(add(negate(c),add(c,c)))),
    inference(congruence,[status(thm)],[c1031]) ).

cnf(c1033,plain,
    add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))) = add(c,add(negate(c),negate(add(negate(c),add(c,c))))),
    inference(congruence,[status(thm)],[c1032]) ).

cnf(c1034,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))) = negate(add(c,add(negate(c),negate(add(negate(c),add(c,c)))))),
    inference(congruence,[status(thm)],[c1033]) ).

cnf(c1035,plain,
    add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c))))))))) = add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,c))))))),
    inference(congruence,[status(thm)],[c1034]) ).

cnf(c1036,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))))) = negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,c)))))))),
    inference(congruence,[status(thm)],[c1035]) ).

cnf(c1037,plain,
    add(negate(c),add(c,c)) = add(negate(c),c),
    inference(congruence,[status(thm)],[c86]) ).

cnf(c1038,plain,
    negate(add(negate(c),add(c,c))) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c1037]) ).

cnf(c1039,plain,
    add(negate(c),negate(add(negate(c),add(c,c)))) = add(negate(c),negate(add(negate(c),c))),
    inference(congruence,[status(thm)],[c1038]) ).

cnf(c1040,plain,
    add(c,add(negate(c),negate(add(negate(c),add(c,c))))) = add(c,add(negate(c),negate(add(negate(c),c)))),
    inference(congruence,[status(thm)],[c1039]) ).

cnf(c1041,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),add(c,c)))))) = negate(add(c,add(negate(c),negate(add(negate(c),c))))),
    inference(congruence,[status(thm)],[c1040]) ).

cnf(c1042,plain,
    add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,c))))))) = add(c,negate(add(c,add(negate(c),negate(add(negate(c),c)))))),
    inference(congruence,[status(thm)],[c1041]) ).

cnf(c1043,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,c)))))))) = negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),c))))))),
    inference(congruence,[status(thm)],[c1042]) ).

cnf(c1044,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1045,plain,
    negate(add(negate(c),c)) = negate(add(c,negate(c))),
    inference(congruence,[status(thm)],[c1044]) ).

cnf(c1046,plain,
    add(negate(c),negate(add(negate(c),c))) = add(negate(c),negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c1045]) ).

cnf(c1047,plain,
    add(c,add(negate(c),negate(add(negate(c),c)))) = add(c,add(negate(c),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1046]) ).

cnf(c1048,plain,
    negate(add(c,add(negate(c),negate(add(negate(c),c))))) = negate(add(c,add(negate(c),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c1047]) ).

cnf(c1049,plain,
    add(c,negate(add(c,add(negate(c),negate(add(negate(c),c)))))) = add(c,negate(add(c,add(negate(c),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c1048]) ).

cnf(c1050,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),c))))))) = negate(add(c,negate(add(c,add(negate(c),negate(add(c,negate(c)))))))),
    inference(congruence,[status(thm)],[c1049]) ).

cnf(c1051,plain,
    add(c,add(negate(c),negate(add(c,negate(c))))) = add(negate(c),c),
    inference(substitution,[status(thm)],[c790]) ).

cnf(c1052,plain,
    negate(add(c,add(negate(c),negate(add(c,negate(c)))))) = negate(add(negate(c),c)),
    inference(congruence,[status(thm)],[c1051]) ).

cnf(c1053,plain,
    add(c,negate(add(c,add(negate(c),negate(add(c,negate(c))))))) = add(c,negate(add(negate(c),c))),
    inference(congruence,[status(thm)],[c1052]) ).

cnf(c1054,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = negate(add(c,negate(add(negate(c),c)))),
    inference(congruence,[status(thm)],[c1053]) ).

cnf(c1055,plain,
    add(negate(c),c) = add(c,negate(c)),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1056,plain,
    negate(add(negate(c),c)) = negate(add(c,negate(c))),
    inference(congruence,[status(thm)],[c1055]) ).

cnf(c1057,plain,
    add(c,negate(add(negate(c),c))) = add(c,negate(add(c,negate(c)))),
    inference(congruence,[status(thm)],[c1056]) ).

cnf(c1058,plain,
    negate(add(c,negate(add(negate(c),c)))) = negate(add(c,negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1057]) ).

cnf(c1059,plain,
    negate(add(c,negate(add(negate(c),c)))) = negate(c),
    inference(transitivity,[status(thm)],[c1058,c493]) ).

cnf(c1060,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(c,negate(c)))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1054,c1059]) ).

cnf(c1061,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),c))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1050,c1060]) ).

cnf(c1062,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,c)))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1043,c1061]) ).

cnf(c1063,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(c,negate(negate(c)))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1036,c1062]) ).

cnf(c1064,plain,
    negate(add(c,negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1028,c1063]) ).

cnf(c1065,plain,
    negate(add(negate(negate(c)),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c1020,c1064]) ).

cnf(c1066,plain,
    negate(add(negate(add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))))),negate(add(c,add(negate(c),negate(add(negate(c),add(negate(negate(c)),negate(negate(c)))))))))) = negate(c),
    inference(transitivity,[status(thm)],[c992,c1065]) ).

cnf(c1067,plain,
    add(negate(add(negate(c),add(negate(negate(c)),negate(negate(c))))),negate(c)) = negate(c),
    inference(transitivity,[status(thm)],[c990,c1066]) ).

cnf(c1068,plain,
    add(negate(add(negate(c),negate(negate(c)))),negate(c)) = negate(c),
    inference(transitivity,[status(thm)],[c947,c1067]) ).

cnf(c1069,plain,
    add(negate(add(c,negate(c))),negate(c)) = negate(c),
    inference(transitivity,[status(thm)],[c872,c1068]) ).

cnf(c1070,plain,
    add(negate(c),negate(add(c,negate(c)))) = negate(c),
    inference(transitivity,[status(thm)],[c48,c1069]) ).

cnf(c1071,plain,
    add(X2,add(negate(c),negate(add(c,negate(c))))) = add(X2,negate(c)),
    inference(congruence,[status(thm)],[c1070]) ).

cnf(c1072,plain,
    negate(add(X2,add(negate(c),negate(add(c,negate(c)))))) = negate(add(X2,negate(c))),
    inference(congruence,[status(thm)],[c1071]) ).

cnf(c1073,plain,
    add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,add(negate(c),negate(add(c,negate(c))))))) = add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,negate(c)))),
    inference(congruence,[status(thm)],[c1072]) ).

cnf(c1074,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,add(negate(c),negate(add(c,negate(c)))))))) = negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,negate(c))))),
    inference(congruence,[status(thm)],[c1073]) ).

cnf(c1075,plain,
    negate(add(c,add(X2,negate(add(c,negate(c)))))) = negate(add(X2,c)),
    inference(congruence,[status(thm)],[c790]) ).

cnf(c1076,plain,
    add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,negate(c)))) = add(negate(add(X2,c)),negate(add(X2,negate(c)))),
    inference(congruence,[status(thm)],[c1075]) ).

cnf(c1077,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,negate(c))))) = negate(add(negate(add(X2,c)),negate(add(X2,negate(c))))),
    inference(congruence,[status(thm)],[c1076]) ).

cnf(c1078,plain,
    negate(add(negate(add(X2,c)),negate(add(X2,negate(c))))) = X2,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1079,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,negate(c))))) = X2,
    inference(transitivity,[status(thm)],[c1077,c1078]) ).

cnf(c1080,plain,
    negate(add(negate(add(c,add(X2,negate(add(c,negate(c)))))),negate(add(X2,add(negate(c),negate(add(c,negate(c)))))))) = X2,
    inference(transitivity,[status(thm)],[c1074,c1079]) ).

cnf(c1081,plain,
    add(X2,negate(add(c,negate(c)))) = X2,
    inference(transitivity,[status(thm)],[c46,c1080]) ).

cnf(c1082,plain,
    add(negate(add(c,negate(c))),X2) = X2,
    inference(transitivity,[status(thm)],[c17,c1081]) ).

cnf(c1083,plain,
    add(negate(add(c,negate(c))),negate(X2)) = negate(X2),
    inference(substitution,[status(thm)],[c1082]) ).

cnf(c1084,plain,
    negate(X2) = add(negate(add(c,negate(c))),negate(X2)),
    inference(symmetry,[status(thm)],[c1083]) ).

cnf(c1085,plain,
    negate(negate(X2)) = negate(add(negate(add(c,negate(c))),negate(X2))),
    inference(congruence,[status(thm)],[c1084]) ).

cnf(c1086,plain,
    add(X2,negate(negate(X2))) = add(X2,negate(add(negate(add(c,negate(c))),negate(X2)))),
    inference(congruence,[status(thm)],[c1085]) ).

cnf(c1087,plain,
    negate(add(X2,negate(negate(X2)))) = negate(add(X2,negate(add(negate(add(c,negate(c))),negate(X2))))),
    inference(congruence,[status(thm)],[c1086]) ).

cnf(c1088,plain,
    negate(negate(add(X2,negate(negate(X2))))) = negate(negate(add(X2,negate(add(negate(add(c,negate(c))),negate(X2)))))),
    inference(congruence,[status(thm)],[c1087]) ).

cnf(c1089,plain,
    add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))) = negate(add(negate(add(c,negate(c))),negate(X2))),
    inference(substitution,[status(thm)],[c1082]) ).

cnf(c1090,plain,
    negate(add(negate(add(c,negate(c))),negate(X2))) = add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))),
    inference(symmetry,[status(thm)],[c1089]) ).

cnf(c1091,plain,
    add(X2,negate(add(negate(add(c,negate(c))),negate(X2)))) = add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))),
    inference(congruence,[status(thm)],[c1090]) ).

cnf(c1092,plain,
    negate(add(X2,negate(add(negate(add(c,negate(c))),negate(X2))))) = negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))),
    inference(congruence,[status(thm)],[c1091]) ).

cnf(c1093,plain,
    negate(negate(add(X2,negate(add(negate(add(c,negate(c))),negate(X2)))))) = negate(negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))))),
    inference(congruence,[status(thm)],[c1092]) ).

cnf(c1094,plain,
    add(negate(add(c,negate(c))),negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))))) = negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))),
    inference(substitution,[status(thm)],[c1082]) ).

cnf(c1095,plain,
    negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))) = add(negate(add(c,negate(c))),negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))))),
    inference(symmetry,[status(thm)],[c1094]) ).

cnf(c1096,plain,
    negate(negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))))) = negate(add(negate(add(c,negate(c))),negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))))),
    inference(congruence,[status(thm)],[c1095]) ).

cnf(c1097,plain,
    add(negate(add(X3,negate(X2))),X3) = add(X3,negate(add(X3,negate(X2)))),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1098,plain,
    add(X3,negate(add(X3,negate(X2)))) = add(negate(add(X3,negate(X2))),X3),
    inference(symmetry,[status(thm)],[c1097]) ).

cnf(c1099,plain,
    add(X2,add(X3,negate(add(X3,negate(X2))))) = add(X2,add(negate(add(X3,negate(X2))),X3)),
    inference(congruence,[status(thm)],[c1098]) ).

cnf(c1100,plain,
    negate(add(X2,add(X3,negate(add(X3,negate(X2)))))) = negate(add(X2,add(negate(add(X3,negate(X2))),X3))),
    inference(congruence,[status(thm)],[c1099]) ).

cnf(c1101,plain,
    add(X3,negate(add(X2,add(X3,negate(add(X3,negate(X2))))))) = add(X3,negate(add(X2,add(negate(add(X3,negate(X2))),X3)))),
    inference(congruence,[status(thm)],[c1100]) ).

cnf(c1102,plain,
    negate(add(X3,negate(add(X2,add(X3,negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(add(X2,add(negate(add(X3,negate(X2))),X3))))),
    inference(congruence,[status(thm)],[c1101]) ).

cnf(c1103,plain,
    add(add(X2,negate(add(X3,negate(X2)))),X3) = add(X2,add(negate(add(X3,negate(X2))),X3)),
    inference(substitution,[status(thm)],[c20]) ).

cnf(c1104,plain,
    add(X2,add(negate(add(X3,negate(X2))),X3)) = add(add(X2,negate(add(X3,negate(X2)))),X3),
    inference(symmetry,[status(thm)],[c1103]) ).

cnf(c1105,plain,
    negate(add(X2,add(negate(add(X3,negate(X2))),X3))) = negate(add(add(X2,negate(add(X3,negate(X2)))),X3)),
    inference(congruence,[status(thm)],[c1104]) ).

cnf(c1106,plain,
    add(X3,negate(add(X2,add(negate(add(X3,negate(X2))),X3)))) = add(X3,negate(add(add(X2,negate(add(X3,negate(X2)))),X3))),
    inference(congruence,[status(thm)],[c1105]) ).

cnf(c1107,plain,
    negate(add(X3,negate(add(X2,add(negate(add(X3,negate(X2))),X3))))) = negate(add(X3,negate(add(add(X2,negate(add(X3,negate(X2)))),X3)))),
    inference(congruence,[status(thm)],[c1106]) ).

cnf(c1108,plain,
    add(X3,add(X2,negate(add(X3,negate(X2))))) = add(add(X2,negate(add(X3,negate(X2)))),X3),
    inference(substitution,[status(thm)],[c2]) ).

cnf(c1109,plain,
    add(add(X2,negate(add(X3,negate(X2)))),X3) = add(X3,add(X2,negate(add(X3,negate(X2))))),
    inference(symmetry,[status(thm)],[c1108]) ).

cnf(c1110,plain,
    negate(add(add(X2,negate(add(X3,negate(X2)))),X3)) = negate(add(X3,add(X2,negate(add(X3,negate(X2)))))),
    inference(congruence,[status(thm)],[c1109]) ).

cnf(c1111,plain,
    add(X3,negate(add(add(X2,negate(add(X3,negate(X2)))),X3))) = add(X3,negate(add(X3,add(X2,negate(add(X3,negate(X2))))))),
    inference(congruence,[status(thm)],[c1110]) ).

cnf(c1112,plain,
    negate(add(X3,negate(add(add(X2,negate(add(X3,negate(X2)))),X3)))) = negate(add(X3,negate(add(X3,add(X2,negate(add(X3,negate(X2)))))))),
    inference(congruence,[status(thm)],[c1111]) ).

cnf(c1113,plain,
    negate(add(X3,negate(add(add(X2,negate(add(X3,negate(X2)))),X3)))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c1112,c282]) ).

cnf(c1114,plain,
    negate(add(X3,negate(add(X2,add(negate(add(X3,negate(X2))),X3))))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c1107,c1113]) ).

cnf(c1115,plain,
    negate(add(X3,negate(add(X2,add(X3,negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(X2))),
    inference(transitivity,[status(thm)],[c1102,c1114]) ).

cnf(c1116,plain,
    negate(add(negate(add(c,negate(c))),negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))))) = negate(add(negate(add(c,negate(c))),negate(X2))),
    inference(substitution,[status(thm)],[c1115]) ).

cnf(c1117,plain,
    add(negate(add(c,negate(c))),negate(X2)) = negate(X2),
    inference(substitution,[status(thm)],[c1082]) ).

cnf(c1118,plain,
    negate(add(negate(add(c,negate(c))),negate(X2))) = negate(negate(X2)),
    inference(congruence,[status(thm)],[c1117]) ).

cnf(c1119,plain,
    negate(add(negate(add(c,negate(c))),negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2)))))))) = negate(negate(X2)),
    inference(transitivity,[status(thm)],[c1116,c1118]) ).

cnf(c1120,plain,
    negate(negate(add(X2,add(negate(add(c,negate(c))),negate(add(negate(add(c,negate(c))),negate(X2))))))) = negate(negate(X2)),
    inference(transitivity,[status(thm)],[c1096,c1119]) ).

cnf(c1121,plain,
    negate(negate(add(X2,negate(add(negate(add(c,negate(c))),negate(X2)))))) = negate(negate(X2)),
    inference(transitivity,[status(thm)],[c1093,c1120]) ).

cnf(c1122,plain,
    negate(negate(add(X2,negate(negate(X2))))) = negate(negate(X2)),
    inference(transitivity,[status(thm)],[c1088,c1121]) ).

cnf(c1123,plain,
    negate(negate(add(negate(X2),negate(negate(negate(X2)))))) = negate(negate(negate(X2))),
    inference(substitution,[status(thm)],[c1122]) ).

cnf(c1124,plain,
    negate(negate(negate(X2))) = negate(negate(add(negate(X2),negate(negate(negate(X2)))))),
    inference(symmetry,[status(thm)],[c1123]) ).

cnf(c1125,plain,
    add(negate(X2),negate(add(c,negate(c)))) = negate(X2),
    inference(substitution,[status(thm)],[c1081]) ).

cnf(c1126,plain,
    negate(X2) = add(negate(X2),negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c1125]) ).

cnf(c1127,plain,
    negate(negate(X2)) = negate(add(negate(X2),negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1126]) ).

cnf(c1128,plain,
    add(negate(X2),negate(negate(X2))) = add(negate(X2),negate(add(negate(X2),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c1127]) ).

cnf(c1129,plain,
    negate(add(negate(X2),negate(negate(X2)))) = negate(add(negate(X2),negate(add(negate(X2),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c1128]) ).

cnf(c1130,plain,
    X2 = add(X2,negate(add(c,negate(c)))),
    inference(symmetry,[status(thm)],[c1081]) ).

cnf(c1131,plain,
    negate(X2) = negate(add(X2,negate(add(c,negate(c))))),
    inference(congruence,[status(thm)],[c1130]) ).

cnf(c1132,plain,
    add(negate(X2),negate(add(negate(X2),negate(add(c,negate(c)))))) = add(negate(add(X2,negate(add(c,negate(c))))),negate(add(negate(X2),negate(add(c,negate(c)))))),
    inference(congruence,[status(thm)],[c1131]) ).

cnf(c1133,plain,
    negate(add(negate(X2),negate(add(negate(X2),negate(add(c,negate(c))))))) = negate(add(negate(add(X2,negate(add(c,negate(c))))),negate(add(negate(X2),negate(add(c,negate(c))))))),
    inference(congruence,[status(thm)],[c1132]) ).

cnf(c1134,plain,
    negate(add(negate(add(X2,negate(add(c,negate(c))))),negate(add(negate(X2),negate(add(c,negate(c))))))) = negate(add(c,negate(c))),
    inference(substitution,[status(thm)],[c42]) ).

cnf(c1135,plain,
    negate(add(negate(X2),negate(add(negate(X2),negate(add(c,negate(c))))))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c1133,c1134]) ).

cnf(c1136,plain,
    negate(add(negate(X2),negate(negate(X2)))) = negate(add(c,negate(c))),
    inference(transitivity,[status(thm)],[c1129,c1135]) ).

cnf(c1137,plain,
    negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))) = negate(add(c,negate(c))),
    inference(substitution,[status(thm)],[c1136]) ).

cnf(c1138,plain,
    negate(add(c,negate(c))) = negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))),
    inference(symmetry,[status(thm)],[c1137]) ).

cnf(c1139,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1140,plain,
    add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = add(X3,negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))),
    inference(congruence,[status(thm)],[c1139]) ).

cnf(c1141,plain,
    negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))),
    inference(congruence,[status(thm)],[c1140]) ).

cnf(c1142,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1143,plain,
    negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))) = negate(X3),
    inference(congruence,[status(thm)],[c1142]) ).

cnf(c1144,plain,
    add(X3,negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = add(X3,negate(X3)),
    inference(congruence,[status(thm)],[c1143]) ).

cnf(c1145,plain,
    negate(add(X3,negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(X3))),
    inference(congruence,[status(thm)],[c1144]) ).

cnf(c1146,plain,
    negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))))) = negate(add(X3,negate(X3))),
    inference(transitivity,[status(thm)],[c1141,c1145]) ).

cnf(c1147,plain,
    negate(add(c,negate(c))) = negate(add(X2,negate(X2))),
    inference(transitivity,[status(thm)],[c1138,c1146]) ).

cnf(c1148,plain,
    negate(add(X2,negate(X2))) = negate(add(c,negate(c))),
    inference(symmetry,[status(thm)],[c1147]) ).

cnf(c1149,plain,
    add(negate(add(X3,negate(X3))),X2) = add(negate(add(c,negate(c))),X2),
    inference(congruence,[status(thm)],[c1148]) ).

cnf(c1150,plain,
    add(negate(add(X3,negate(X3))),X2) = X2,
    inference(transitivity,[status(thm)],[c1149,c1082]) ).

cnf(c1151,plain,
    add(negate(add(X2,negate(X2))),negate(X3)) = negate(X3),
    inference(substitution,[status(thm)],[c1150]) ).

cnf(c1152,plain,
    negate(X3) = add(negate(add(X2,negate(X2))),negate(X3)),
    inference(symmetry,[status(thm)],[c1151]) ).

cnf(c1153,plain,
    negate(negate(X3)) = negate(add(negate(add(X2,negate(X2))),negate(X3))),
    inference(congruence,[status(thm)],[c1152]) ).

cnf(c1154,plain,
    negate(negate(negate(X3))) = negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))),
    inference(congruence,[status(thm)],[c1153]) ).

cnf(c1155,plain,
    add(negate(X3),negate(negate(negate(X3)))) = add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))),
    inference(congruence,[status(thm)],[c1154]) ).

cnf(c1156,plain,
    negate(add(negate(X3),negate(negate(negate(X3))))) = negate(add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))),
    inference(congruence,[status(thm)],[c1155]) ).

cnf(c1157,plain,
    negate(negate(add(negate(X3),negate(negate(negate(X3)))))) = negate(negate(add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))),
    inference(congruence,[status(thm)],[c1156]) ).

cnf(c1158,plain,
    add(negate(add(X2,negate(X2))),X3) = X3,
    inference(substitution,[status(thm)],[c1150]) ).

cnf(c1159,plain,
    X3 = add(negate(add(X2,negate(X2))),X3),
    inference(symmetry,[status(thm)],[c1158]) ).

cnf(c1160,plain,
    negate(X3) = negate(add(negate(add(X2,negate(X2))),X3)),
    inference(congruence,[status(thm)],[c1159]) ).

cnf(c1161,plain,
    add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))) = add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))),
    inference(congruence,[status(thm)],[c1160]) ).

cnf(c1162,plain,
    negate(add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))) = negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))),
    inference(congruence,[status(thm)],[c1161]) ).

cnf(c1163,plain,
    negate(negate(add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))) = negate(negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))),
    inference(congruence,[status(thm)],[c1162]) ).

cnf(c1164,plain,
    add(negate(add(X2,negate(X2))),negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))) = negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))),
    inference(substitution,[status(thm)],[c1150]) ).

cnf(c1165,plain,
    negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))) = add(negate(add(X2,negate(X2))),negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))),
    inference(symmetry,[status(thm)],[c1164]) ).

cnf(c1166,plain,
    negate(negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))) = negate(add(negate(add(X2,negate(X2))),negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))))),
    inference(congruence,[status(thm)],[c1165]) ).

cnf(c1167,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1168,plain,
    X3 = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(symmetry,[status(thm)],[c1167]) ).

cnf(c1169,plain,
    add(X3,negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2))))))) = add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2))))))),
    inference(congruence,[status(thm)],[c1168]) ).

cnf(c1170,plain,
    negate(add(X3,negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2)))))))) = negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2)))))))),
    inference(congruence,[status(thm)],[c1169]) ).

cnf(c1171,plain,
    negate(add(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2)))))))) = negate(add(X3,X2)),
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1172,plain,
    negate(add(X3,negate(add(negate(add(X3,X2)),negate(negate(add(X3,negate(X2)))))))) = negate(add(X3,X2)),
    inference(transitivity,[status(thm)],[c1170,c1171]) ).

cnf(c1173,plain,
    negate(add(negate(add(X2,negate(X2))),negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))))) = negate(add(negate(add(X2,negate(X2))),X3)),
    inference(substitution,[status(thm)],[c1172]) ).

cnf(c1174,plain,
    add(negate(add(X2,negate(X2))),X3) = X3,
    inference(substitution,[status(thm)],[c1150]) ).

cnf(c1175,plain,
    negate(add(negate(add(X2,negate(X2))),X3)) = negate(X3),
    inference(congruence,[status(thm)],[c1174]) ).

cnf(c1176,plain,
    negate(add(negate(add(X2,negate(X2))),negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3)))))))) = negate(X3),
    inference(transitivity,[status(thm)],[c1173,c1175]) ).

cnf(c1177,plain,
    negate(negate(add(negate(add(negate(add(X2,negate(X2))),X3)),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))) = negate(X3),
    inference(transitivity,[status(thm)],[c1166,c1176]) ).

cnf(c1178,plain,
    negate(negate(add(negate(X3),negate(negate(add(negate(add(X2,negate(X2))),negate(X3))))))) = negate(X3),
    inference(transitivity,[status(thm)],[c1163,c1177]) ).

cnf(c1179,plain,
    negate(negate(add(negate(X2),negate(negate(negate(X2)))))) = negate(X2),
    inference(transitivity,[status(thm)],[c1157,c1178]) ).

cnf(c1180,plain,
    negate(negate(negate(X2))) = negate(X2),
    inference(transitivity,[status(thm)],[c1124,c1179]) ).

cnf(c1181,plain,
    negate(negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))),
    inference(substitution,[status(thm)],[c1180]) ).

cnf(c1182,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1183,plain,
    negate(negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))))) = X3,
    inference(transitivity,[status(thm)],[c1181,c1182]) ).

cnf(c1184,plain,
    negate(negate(X2)) = X2,
    inference(transitivity,[status(thm)],[c15,c1183]) ).

cnf(c1185,plain,
    negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))) = add(negate(add(X3,X2)),negate(add(X3,negate(X2)))),
    inference(substitution,[status(thm)],[c1184]) ).

cnf(c1186,plain,
    add(negate(add(X3,X2)),negate(add(X3,negate(X2)))) = negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))),
    inference(symmetry,[status(thm)],[c1185]) ).

cnf(c1187,plain,
    negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2))))) = X3,
    inference(substitution,[status(thm)],[c11]) ).

cnf(c1188,plain,
    negate(negate(add(negate(add(X3,X2)),negate(add(X3,negate(X2)))))) = negate(X3),
    inference(congruence,[status(thm)],[c1187]) ).

cnf(c1189,plain,
    add(negate(add(X3,X2)),negate(add(X3,negate(X2)))) = negate(X3),
    inference(transitivity,[status(thm)],[c1186,c1188]) ).

cnf(c1190,plain,
    add(negate(add(X2,X3)),negate(add(X2,negate(X3)))) = negate(X2),
    inference(substitution,[status(thm)],[c1189]) ).

cnf(c1191,plain,
    add(negate(add(X3,X2)),negate(add(X2,negate(X3)))) = negate(X2),
    inference(transitivity,[status(thm)],[c10,c1190]) ).

cnf(c1192,plain,
    add(negate(add(X3,X2)),negate(add(negate(X3),X2))) = negate(X2),
    inference(transitivity,[status(thm)],[c6,c1191]) ).

cnf(c1193,plain,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = negate(negate(b)),
    inference(substitution,[status(thm)],[c1192]) ).

cnf(c1194,plain,
    negate(negate(b)) = b,
    inference(substitution,[status(thm)],[c1184]) ).

cnf(c1195,plain,
    add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) = b,
    inference(transitivity,[status(thm)],[c1193,c1194]) ).

cnf(c1196,plain,
    $false,
    inference(resolution,[status(thm)],[c1,c1195]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : ROB005-1 : 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 : n006.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 23:25:10 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_twee /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.01/3.27  Command-line arguments: --no-flatten-goal
% 22.01/3.27  
% 22.01/3.27  % SZS status Unsatisfiable
% 22.01/3.27  
% 22.01/3.30  % SZS output start CNFRefutation
% See solution above
% 25.15/3.65  
% 25.15/3.65  RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------