%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 14 23:44:36 EDT 2022

% Result   : Unsatisfiable 2.29s 2.54s
% Output   : CNFRefutation 2.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :  136
%            Number of leaves      :  288
% Syntax   : Number of clauses     : 1319 ( 638 unt;   0 nHn; 816 RR)
%            Number of literals    : 2287 (2286 equ; 970 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   : 1487 (  69 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(commutativity_of_add,axiom,
    add(X,Y) = add(Y,X) ).

cnf(commutativity_of_multiply,axiom,
    multiply(X,Y) = multiply(Y,X) ).

cnf(distributivity1,axiom,
    add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ).

cnf(distributivity2,axiom,
    add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ).

cnf(distributivity3,axiom,
    multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ).

cnf(distributivity4,axiom,
    multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).

cnf(additive_inverse1,axiom,
    add(X,inverse(X)) = multiplicative_identity ).

cnf(multiplicative_inverse1,axiom,
    multiply(X,inverse(X)) = additive_identity ).

cnf(multiplicative_id1,axiom,
    multiply(X,multiplicative_identity) = X ).

cnf(multiplicative_id2,axiom,
    multiply(multiplicative_identity,X) = X ).

cnf(additive_id1,axiom,
    add(X,additive_identity) = X ).

cnf(additive_id2,axiom,
    add(additive_identity,X) = X ).

cnf(a_plus_b_is_c,hypothesis,
    add(a,b) = c ).

cnf(a_inverse_times_b_inverse_is_d,hypothesis,
    multiply(inverse(a),inverse(b)) = d ).

cnf(prove_c_inverse_is_d,negated_conjecture,
    inverse(c) != d ).

cnf(refute_0_0,plain,
    add(inverse(c),multiply(add(b,inverse(a)),X_34)) = multiply(add(inverse(c),add(b,inverse(a))),add(inverse(c),X_34)),
    inference(subst,[],[distributivity2:[bind(X,$fot(inverse(c))),bind(Y,$fot(add(b,inverse(a)))),bind(Z,$fot(X_34))]]) ).

cnf(refute_0_1,plain,
    add(multiply(X_10,X_11),inverse(X_10)) = multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10))),
    inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).

cnf(refute_0_2,plain,
    add(X_10,inverse(X_10)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_3,plain,
    ( add(X_10,inverse(X_10)) != multiplicative_identity
    | add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
    | add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_4,plain,
    ( add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
    | add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_2,refute_0_3]) ).

cnf(refute_0_5,plain,
    add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) )],[refute_0_1,refute_0_4]) ).

cnf(refute_0_6,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_7,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_8,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    ( add(X,Y) != add(Y,X)
    | add(Y,X) = add(X,Y) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).

cnf(refute_0_10,plain,
    add(Y,X) = add(X,Y),
    inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_9]) ).

cnf(refute_0_11,plain,
    add(multiply(X_10,X_11),inverse(X_10)) = add(inverse(X_10),multiply(X_10,X_11)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).

cnf(refute_0_12,plain,
    ( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
    | add(multiply(X_10,X_11),inverse(X_10)) != add(inverse(X_10),multiply(X_10,X_11))
    | add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[0],$fot(add(inverse(X_10),multiply(X_10,X_11)))]]) ).

cnf(refute_0_13,plain,
    ( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
    | add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_11,refute_0_12]) ).

cnf(refute_0_14,plain,
    multiply(multiplicative_identity,add(X_11,inverse(X_10))) = add(X_11,inverse(X_10)),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,inverse(X_10))))]]) ).

cnf(refute_0_15,plain,
    ( multiply(multiplicative_identity,add(X_11,inverse(X_10))) != add(X_11,inverse(X_10))
    | add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
    | add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[1],$fot(add(X_11,inverse(X_10)))]]) ).

cnf(refute_0_16,plain,
    ( add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
    | add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,inverse(X_10))),add(X_11,inverse(X_10))) )],[refute_0_14,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
    | add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_13,refute_0_16]) ).

cnf(refute_0_18,plain,
    add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_5,refute_0_17]) ).

cnf(refute_0_19,plain,
    add(inverse(c),multiply(c,add(b,inverse(a)))) = add(add(b,inverse(a)),inverse(c)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(c)),bind(X_11,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_20,plain,
    add(multiply(a,X_11),b) = multiply(add(a,b),add(X_11,b)),
    inference(subst,[],[distributivity1:[bind(X,$fot(a)),bind(Y,$fot(X_11)),bind(Z,$fot(b))]]) ).

cnf(refute_0_21,plain,
    ( add(multiply(a,X_11),b) != multiply(add(a,b),add(X_11,b))
    | add(a,b) != c
    | add(multiply(a,X_11),b) = multiply(c,add(X_11,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,X_11),b),multiply(add(a,b),add(X_11,b))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_22,plain,
    ( add(multiply(a,X_11),b) != multiply(add(a,b),add(X_11,b))
    | add(multiply(a,X_11),b) = multiply(c,add(X_11,b)) ),
    inference(resolve,[$cnf( $equal(add(a,b),c) )],[a_plus_b_is_c,refute_0_21]) ).

cnf(refute_0_23,plain,
    add(multiply(a,X_11),b) = multiply(c,add(X_11,b)),
    inference(resolve,[$cnf( $equal(add(multiply(a,X_11),b),multiply(add(a,b),add(X_11,b))) )],[refute_0_20,refute_0_22]) ).

cnf(refute_0_24,plain,
    add(multiply(a,X_11),b) = add(b,multiply(a,X_11)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(b)),bind(Y,$fot(multiply(a,X_11)))]]) ).

cnf(refute_0_25,plain,
    ( add(multiply(a,X_11),b) != multiply(c,add(X_11,b))
    | add(multiply(a,X_11),b) != add(b,multiply(a,X_11))
    | add(b,multiply(a,X_11)) = multiply(c,add(X_11,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(a,X_11),b),multiply(c,add(X_11,b))) ),[0],$fot(add(b,multiply(a,X_11)))]]) ).

cnf(refute_0_26,plain,
    ( add(multiply(a,X_11),b) != multiply(c,add(X_11,b))
    | add(b,multiply(a,X_11)) = multiply(c,add(X_11,b)) ),
    inference(resolve,[$cnf( $equal(add(multiply(a,X_11),b),add(b,multiply(a,X_11))) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    add(b,multiply(a,X_11)) = multiply(c,add(X_11,b)),
    inference(resolve,[$cnf( $equal(add(multiply(a,X_11),b),multiply(c,add(X_11,b))) )],[refute_0_23,refute_0_26]) ).

cnf(refute_0_28,plain,
    add(b,multiply(a,inverse(a))) = multiply(c,add(inverse(a),b)),
    inference(subst,[],[refute_0_27:[bind(X_11,$fot(inverse(a)))]]) ).

cnf(refute_0_29,plain,
    multiply(a,inverse(a)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(a))]]) ).

cnf(refute_0_30,plain,
    ( multiply(a,inverse(a)) != additive_identity
    | add(b,multiply(a,inverse(a))) != multiply(c,add(inverse(a),b))
    | add(b,additive_identity) = multiply(c,add(inverse(a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(a,inverse(a))),multiply(c,add(inverse(a),b))) ),[0,1],$fot(additive_identity)]]) ).

cnf(refute_0_31,plain,
    ( add(b,multiply(a,inverse(a))) != multiply(c,add(inverse(a),b))
    | add(b,additive_identity) = multiply(c,add(inverse(a),b)) ),
    inference(resolve,[$cnf( $equal(multiply(a,inverse(a)),additive_identity) )],[refute_0_29,refute_0_30]) ).

cnf(refute_0_32,plain,
    add(b,additive_identity) = multiply(c,add(inverse(a),b)),
    inference(resolve,[$cnf( $equal(add(b,multiply(a,inverse(a))),multiply(c,add(inverse(a),b))) )],[refute_0_28,refute_0_31]) ).

cnf(refute_0_33,plain,
    add(b,additive_identity) = b,
    inference(subst,[],[additive_id1:[bind(X,$fot(b))]]) ).

cnf(refute_0_34,plain,
    ( add(b,additive_identity) != multiply(c,add(inverse(a),b))
    | add(b,additive_identity) != b
    | b = multiply(c,add(inverse(a),b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,additive_identity),multiply(c,add(inverse(a),b))) ),[0],$fot(b)]]) ).

cnf(refute_0_35,plain,
    ( add(b,additive_identity) != multiply(c,add(inverse(a),b))
    | b = multiply(c,add(inverse(a),b)) ),
    inference(resolve,[$cnf( $equal(add(b,additive_identity),b) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    add(multiply(X_10,a),b) = multiply(add(X_10,b),add(a,b)),
    inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(a)),bind(Z,$fot(b))]]) ).

cnf(refute_0_37,plain,
    ( add(multiply(X_10,a),b) != multiply(add(X_10,b),add(a,b))
    | add(a,b) != c
    | add(multiply(X_10,a),b) = multiply(add(X_10,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,a),b),multiply(add(X_10,b),add(a,b))) ),[1,1],$fot(c)]]) ).

cnf(refute_0_38,plain,
    ( add(multiply(X_10,a),b) != multiply(add(X_10,b),add(a,b))
    | add(multiply(X_10,a),b) = multiply(add(X_10,b),c) ),
    inference(resolve,[$cnf( $equal(add(a,b),c) )],[a_plus_b_is_c,refute_0_37]) ).

cnf(refute_0_39,plain,
    add(multiply(X_10,a),b) = multiply(add(X_10,b),c),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,a),b),multiply(add(X_10,b),add(a,b))) )],[refute_0_36,refute_0_38]) ).

cnf(refute_0_40,plain,
    add(multiply(X_10,a),b) = add(b,multiply(X_10,a)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(b)),bind(Y,$fot(multiply(X_10,a)))]]) ).

cnf(refute_0_41,plain,
    ( add(multiply(X_10,a),b) != multiply(add(X_10,b),c)
    | add(multiply(X_10,a),b) != add(b,multiply(X_10,a))
    | add(b,multiply(X_10,a)) = multiply(add(X_10,b),c) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,a),b),multiply(add(X_10,b),c)) ),[0],$fot(add(b,multiply(X_10,a)))]]) ).

cnf(refute_0_42,plain,
    ( add(multiply(X_10,a),b) != multiply(add(X_10,b),c)
    | add(b,multiply(X_10,a)) = multiply(add(X_10,b),c) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,a),b),add(b,multiply(X_10,a))) )],[refute_0_40,refute_0_41]) ).

cnf(refute_0_43,plain,
    ( multiply(X,Y) != multiply(Y,X)
    | multiply(Y,X) = multiply(X,Y) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).

cnf(refute_0_44,plain,
    multiply(Y,X) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_43]) ).

cnf(refute_0_45,plain,
    multiply(add(X_10,b),c) = multiply(c,add(X_10,b)),
    inference(subst,[],[refute_0_44:[bind(X,$fot(c)),bind(Y,$fot(add(X_10,b)))]]) ).

cnf(refute_0_46,plain,
    ( multiply(add(X_10,b),c) != multiply(c,add(X_10,b))
    | add(b,multiply(X_10,a)) != multiply(add(X_10,b),c)
    | add(b,multiply(X_10,a)) = multiply(c,add(X_10,b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(X_10,a)),multiply(add(X_10,b),c)) ),[1],$fot(multiply(c,add(X_10,b)))]]) ).

cnf(refute_0_47,plain,
    ( add(b,multiply(X_10,a)) != multiply(add(X_10,b),c)
    | add(b,multiply(X_10,a)) = multiply(c,add(X_10,b)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_10,b),c),multiply(c,add(X_10,b))) )],[refute_0_45,refute_0_46]) ).

cnf(refute_0_48,plain,
    ( add(multiply(X_10,a),b) != multiply(add(X_10,b),c)
    | add(b,multiply(X_10,a)) = multiply(c,add(X_10,b)) ),
    inference(resolve,[$cnf( $equal(add(b,multiply(X_10,a)),multiply(add(X_10,b),c)) )],[refute_0_42,refute_0_47]) ).

cnf(refute_0_49,plain,
    add(b,multiply(X_10,a)) = multiply(c,add(X_10,b)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,a),b),multiply(add(X_10,b),c)) )],[refute_0_39,refute_0_48]) ).

cnf(refute_0_50,plain,
    add(b,multiply(X_13,a)) = multiply(c,add(X_13,b)),
    inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_13))]]) ).

cnf(refute_0_51,plain,
    add(b,X_13) = add(X_13,b),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(b)),bind(Y,$fot(X_13))]]) ).

cnf(refute_0_52,plain,
    ( add(b,X_13) != add(X_13,b)
    | add(X_13,b) = add(b,X_13) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(b,X_13))),bind(Y0,$fot(add(X_13,b)))]]) ).

cnf(refute_0_53,plain,
    add(X_13,b) = add(b,X_13),
    inference(resolve,[$cnf( $equal(add(b,X_13),add(X_13,b)) )],[refute_0_51,refute_0_52]) ).

cnf(refute_0_54,plain,
    ( add(X_13,b) != add(b,X_13)
    | add(b,multiply(X_13,a)) != multiply(c,add(X_13,b))
    | add(b,multiply(X_13,a)) = multiply(c,add(b,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(X_13,a)),multiply(c,add(X_13,b))) ),[1,1],$fot(add(b,X_13))]]) ).

cnf(refute_0_55,plain,
    ( add(b,multiply(X_13,a)) != multiply(c,add(X_13,b))
    | add(b,multiply(X_13,a)) = multiply(c,add(b,X_13)) ),
    inference(resolve,[$cnf( $equal(add(X_13,b),add(b,X_13)) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    add(b,multiply(X_13,a)) = multiply(c,add(b,X_13)),
    inference(resolve,[$cnf( $equal(add(b,multiply(X_13,a)),multiply(c,add(X_13,b))) )],[refute_0_50,refute_0_55]) ).

cnf(refute_0_57,plain,
    ( add(b,multiply(X_13,a)) != multiply(c,add(X_13,b))
    | add(b,multiply(X_13,a)) != multiply(c,add(b,X_13))
    | multiply(c,add(X_13,b)) = multiply(c,add(b,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(X_13,a)),multiply(c,add(b,X_13))) ),[0],$fot(multiply(c,add(X_13,b)))]]) ).

cnf(refute_0_58,plain,
    ( add(b,multiply(X_13,a)) != multiply(c,add(b,X_13))
    | multiply(c,add(X_13,b)) = multiply(c,add(b,X_13)) ),
    inference(resolve,[$cnf( $equal(add(b,multiply(X_13,a)),multiply(c,add(X_13,b))) )],[refute_0_50,refute_0_57]) ).

cnf(refute_0_59,plain,
    multiply(c,add(X_13,b)) = multiply(c,add(b,X_13)),
    inference(resolve,[$cnf( $equal(add(b,multiply(X_13,a)),multiply(c,add(b,X_13))) )],[refute_0_56,refute_0_58]) ).

cnf(refute_0_60,plain,
    multiply(c,add(inverse(a),b)) = multiply(c,add(b,inverse(a))),
    inference(subst,[],[refute_0_59:[bind(X_13,$fot(inverse(a)))]]) ).

cnf(refute_0_61,plain,
    ( multiply(c,add(inverse(a),b)) != multiply(c,add(b,inverse(a)))
    | b != multiply(c,add(inverse(a),b))
    | b = multiply(c,add(b,inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(b,multiply(c,add(inverse(a),b))) ),[1],$fot(multiply(c,add(b,inverse(a))))]]) ).

cnf(refute_0_62,plain,
    ( b != multiply(c,add(inverse(a),b))
    | b = multiply(c,add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(multiply(c,add(inverse(a),b)),multiply(c,add(b,inverse(a)))) )],[refute_0_60,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( add(b,additive_identity) != multiply(c,add(inverse(a),b))
    | b = multiply(c,add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(b,multiply(c,add(inverse(a),b))) )],[refute_0_35,refute_0_62]) ).

cnf(refute_0_64,plain,
    b = multiply(c,add(b,inverse(a))),
    inference(resolve,[$cnf( $equal(add(b,additive_identity),multiply(c,add(inverse(a),b))) )],[refute_0_32,refute_0_63]) ).

cnf(refute_0_65,plain,
    ( b != multiply(c,add(b,inverse(a)))
    | multiply(c,add(b,inverse(a))) = b ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(b)),bind(Y0,$fot(multiply(c,add(b,inverse(a)))))]]) ).

cnf(refute_0_66,plain,
    multiply(c,add(b,inverse(a))) = b,
    inference(resolve,[$cnf( $equal(b,multiply(c,add(b,inverse(a)))) )],[refute_0_64,refute_0_65]) ).

cnf(refute_0_67,plain,
    ( multiply(c,add(b,inverse(a))) != b
    | add(inverse(c),multiply(c,add(b,inverse(a)))) != add(add(b,inverse(a)),inverse(c))
    | add(inverse(c),b) = add(add(b,inverse(a)),inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(c,add(b,inverse(a)))),add(add(b,inverse(a)),inverse(c))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_68,plain,
    ( add(inverse(c),multiply(c,add(b,inverse(a)))) != add(add(b,inverse(a)),inverse(c))
    | add(inverse(c),b) = add(add(b,inverse(a)),inverse(c)) ),
    inference(resolve,[$cnf( $equal(multiply(c,add(b,inverse(a))),b) )],[refute_0_66,refute_0_67]) ).

cnf(refute_0_69,plain,
    add(inverse(c),b) = add(add(b,inverse(a)),inverse(c)),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(c,add(b,inverse(a)))),add(add(b,inverse(a)),inverse(c))) )],[refute_0_19,refute_0_68]) ).

cnf(refute_0_70,plain,
    add(inverse(c),b) = add(b,inverse(c)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(b)),bind(Y,$fot(inverse(c)))]]) ).

cnf(refute_0_71,plain,
    ( add(inverse(c),b) != add(add(b,inverse(a)),inverse(c))
    | add(inverse(c),b) != add(b,inverse(c))
    | add(b,inverse(c)) = add(add(b,inverse(a)),inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),b),add(add(b,inverse(a)),inverse(c))) ),[0],$fot(add(b,inverse(c)))]]) ).

cnf(refute_0_72,plain,
    ( add(inverse(c),b) != add(add(b,inverse(a)),inverse(c))
    | add(b,inverse(c)) = add(add(b,inverse(a)),inverse(c)) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),b),add(b,inverse(c))) )],[refute_0_70,refute_0_71]) ).

cnf(refute_0_73,plain,
    add(add(b,inverse(a)),inverse(c)) = add(inverse(c),add(b,inverse(a))),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(c))),bind(Y,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_74,plain,
    ( add(add(b,inverse(a)),inverse(c)) != add(inverse(c),add(b,inverse(a)))
    | add(b,inverse(c)) != add(add(b,inverse(a)),inverse(c))
    | add(b,inverse(c)) = add(inverse(c),add(b,inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,inverse(c)),add(add(b,inverse(a)),inverse(c))) ),[1],$fot(add(inverse(c),add(b,inverse(a))))]]) ).

cnf(refute_0_75,plain,
    ( add(b,inverse(c)) != add(add(b,inverse(a)),inverse(c))
    | add(b,inverse(c)) = add(inverse(c),add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(add(add(b,inverse(a)),inverse(c)),add(inverse(c),add(b,inverse(a)))) )],[refute_0_73,refute_0_74]) ).

cnf(refute_0_76,plain,
    ( add(inverse(c),b) != add(add(b,inverse(a)),inverse(c))
    | add(b,inverse(c)) = add(inverse(c),add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(add(b,inverse(c)),add(add(b,inverse(a)),inverse(c))) )],[refute_0_72,refute_0_75]) ).

cnf(refute_0_77,plain,
    add(b,inverse(c)) = add(inverse(c),add(b,inverse(a))),
    inference(resolve,[$cnf( $equal(add(inverse(c),b),add(add(b,inverse(a)),inverse(c))) )],[refute_0_69,refute_0_76]) ).

cnf(refute_0_78,plain,
    ( add(b,inverse(c)) != add(inverse(c),add(b,inverse(a)))
    | add(inverse(c),add(b,inverse(a))) = add(b,inverse(c)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(b,inverse(c)))),bind(Y0,$fot(add(inverse(c),add(b,inverse(a)))))]]) ).

cnf(refute_0_79,plain,
    add(inverse(c),add(b,inverse(a))) = add(b,inverse(c)),
    inference(resolve,[$cnf( $equal(add(b,inverse(c)),add(inverse(c),add(b,inverse(a)))) )],[refute_0_77,refute_0_78]) ).

cnf(refute_0_80,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),X_34)) != multiply(add(inverse(c),add(b,inverse(a))),add(inverse(c),X_34))
    | add(inverse(c),add(b,inverse(a))) != add(b,inverse(c))
    | add(inverse(c),multiply(add(b,inverse(a)),X_34)) = multiply(add(b,inverse(c)),add(inverse(c),X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),X_34)),multiply(add(inverse(c),add(b,inverse(a))),add(inverse(c),X_34))) ),[1,0],$fot(add(b,inverse(c)))]]) ).

cnf(refute_0_81,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),X_34)) != multiply(add(inverse(c),add(b,inverse(a))),add(inverse(c),X_34))
    | add(inverse(c),multiply(add(b,inverse(a)),X_34)) = multiply(add(b,inverse(c)),add(inverse(c),X_34)) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),add(b,inverse(a))),add(b,inverse(c))) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    add(inverse(c),multiply(add(b,inverse(a)),X_34)) = multiply(add(b,inverse(c)),add(inverse(c),X_34)),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),X_34)),multiply(add(inverse(c),add(b,inverse(a))),add(inverse(c),X_34))) )],[refute_0_0,refute_0_81]) ).

cnf(refute_0_83,plain,
    add(multiply(b,X_34),inverse(c)) = add(inverse(c),multiply(b,X_34)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(c))),bind(Y,$fot(multiply(b,X_34)))]]) ).

cnf(refute_0_84,plain,
    add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_11,X_12)),
    inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_85,plain,
    add(X_12,X_11) = add(X_11,X_12),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_11))]]) ).

cnf(refute_0_86,plain,
    ( add(X_12,X_11) != add(X_11,X_12)
    | add(X_11,X_12) = add(X_12,X_11) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_12,X_11))),bind(Y0,$fot(add(X_11,X_12)))]]) ).

cnf(refute_0_87,plain,
    add(X_11,X_12) = add(X_12,X_11),
    inference(resolve,[$cnf( $equal(add(X_12,X_11),add(X_11,X_12)) )],[refute_0_85,refute_0_86]) ).

cnf(refute_0_88,plain,
    ( add(X_11,X_12) != add(X_12,X_11)
    | add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
    | add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1,1],$fot(add(X_12,X_11))]]) ).

cnf(refute_0_89,plain,
    ( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
    | add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
    inference(resolve,[$cnf( $equal(add(X_11,X_12),add(X_12,X_11)) )],[refute_0_87,refute_0_88]) ).

cnf(refute_0_90,plain,
    add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_84,refute_0_89]) ).

cnf(refute_0_91,plain,
    ( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_12,X_11))
    | multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_10,X_12),add(X_12,X_11))))]]) ).

cnf(refute_0_92,plain,
    multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_12,X_11))) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    multiply(add(b,inverse(c)),add(inverse(c),X_34)) = add(multiply(b,X_34),inverse(c)),
    inference(subst,[],[refute_0_92:[bind(X_10,$fot(b)),bind(X_11,$fot(X_34)),bind(X_12,$fot(inverse(c)))]]) ).

cnf(refute_0_94,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_95,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_8,refute_0_94]) ).

cnf(refute_0_96,plain,
    ( multiply(add(b,inverse(c)),add(inverse(c),X_34)) != add(multiply(b,X_34),inverse(c))
    | add(multiply(b,X_34),inverse(c)) != add(inverse(c),multiply(b,X_34))
    | multiply(add(b,inverse(c)),add(inverse(c),X_34)) = add(inverse(c),multiply(b,X_34)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(add(b,inverse(c)),add(inverse(c),X_34)))),bind(Y0,$fot(add(multiply(b,X_34),inverse(c)))),bind(Z0,$fot(add(inverse(c),multiply(b,X_34))))]]) ).

cnf(refute_0_97,plain,
    ( add(multiply(b,X_34),inverse(c)) != add(inverse(c),multiply(b,X_34))
    | multiply(add(b,inverse(c)),add(inverse(c),X_34)) = add(inverse(c),multiply(b,X_34)) ),
    inference(resolve,[$cnf( $equal(multiply(add(b,inverse(c)),add(inverse(c),X_34)),add(multiply(b,X_34),inverse(c))) )],[refute_0_93,refute_0_96]) ).

cnf(refute_0_98,plain,
    multiply(add(b,inverse(c)),add(inverse(c),X_34)) = add(inverse(c),multiply(b,X_34)),
    inference(resolve,[$cnf( $equal(add(multiply(b,X_34),inverse(c)),add(inverse(c),multiply(b,X_34))) )],[refute_0_83,refute_0_97]) ).

cnf(refute_0_99,plain,
    ( multiply(add(b,inverse(c)),add(inverse(c),X_34)) != add(inverse(c),multiply(b,X_34))
    | add(inverse(c),multiply(add(b,inverse(a)),X_34)) != multiply(add(b,inverse(c)),add(inverse(c),X_34))
    | add(inverse(c),multiply(add(b,inverse(a)),X_34)) = add(inverse(c),multiply(b,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),X_34)),multiply(add(b,inverse(c)),add(inverse(c),X_34))) ),[1],$fot(add(inverse(c),multiply(b,X_34)))]]) ).

cnf(refute_0_100,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),X_34)) != multiply(add(b,inverse(c)),add(inverse(c),X_34))
    | add(inverse(c),multiply(add(b,inverse(a)),X_34)) = add(inverse(c),multiply(b,X_34)) ),
    inference(resolve,[$cnf( $equal(multiply(add(b,inverse(c)),add(inverse(c),X_34)),add(inverse(c),multiply(b,X_34))) )],[refute_0_98,refute_0_99]) ).

cnf(refute_0_101,plain,
    add(inverse(c),multiply(add(b,inverse(a)),X_34)) = add(inverse(c),multiply(b,X_34)),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),X_34)),multiply(add(b,inverse(c)),add(inverse(c),X_34))) )],[refute_0_82,refute_0_100]) ).

cnf(refute_0_102,plain,
    add(inverse(c),multiply(add(b,inverse(a)),d)) = add(inverse(c),multiply(b,d)),
    inference(subst,[],[refute_0_101:[bind(X_34,$fot(d))]]) ).

cnf(refute_0_103,plain,
    multiply(X_93,add(X_94,inverse(X_93))) = add(multiply(X_93,X_94),multiply(X_93,inverse(X_93))),
    inference(subst,[],[distributivity4:[bind(X,$fot(X_93)),bind(Y,$fot(X_94)),bind(Z,$fot(inverse(X_93)))]]) ).

cnf(refute_0_104,plain,
    multiply(X_93,inverse(X_93)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_93))]]) ).

cnf(refute_0_105,plain,
    ( multiply(X_93,add(X_94,inverse(X_93))) != add(multiply(X_93,X_94),multiply(X_93,inverse(X_93)))
    | multiply(X_93,inverse(X_93)) != additive_identity
    | multiply(X_93,add(X_94,inverse(X_93))) = add(multiply(X_93,X_94),additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_93,add(X_94,inverse(X_93))),add(multiply(X_93,X_94),multiply(X_93,inverse(X_93)))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_106,plain,
    ( multiply(X_93,add(X_94,inverse(X_93))) != add(multiply(X_93,X_94),multiply(X_93,inverse(X_93)))
    | multiply(X_93,add(X_94,inverse(X_93))) = add(multiply(X_93,X_94),additive_identity) ),
    inference(resolve,[$cnf( $equal(multiply(X_93,inverse(X_93)),additive_identity) )],[refute_0_104,refute_0_105]) ).

cnf(refute_0_107,plain,
    multiply(X_93,add(X_94,inverse(X_93))) = add(multiply(X_93,X_94),additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_93,add(X_94,inverse(X_93))),add(multiply(X_93,X_94),multiply(X_93,inverse(X_93)))) )],[refute_0_103,refute_0_106]) ).

cnf(refute_0_108,plain,
    add(additive_identity,multiply(X_93,X_94)) = multiply(X_93,X_94),
    inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_93,X_94)))]]) ).

cnf(refute_0_109,plain,
    add(multiply(X,add(X,Z)),Z) = multiply(add(X,Z),add(add(X,Z),Z)),
    inference(subst,[],[distributivity1:[bind(Y,$fot(add(X,Z)))]]) ).

cnf(refute_0_110,plain,
    add(multiply(additive_identity,X_11),X_12) = multiply(add(additive_identity,X_12),add(X_11,X_12)),
    inference(subst,[],[distributivity1:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_111,plain,
    add(additive_identity,X_12) = X_12,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_112,plain,
    ( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
    | add(additive_identity,X_12) != X_12
    | add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) ),[1,0],$fot(X_12)]]) ).

cnf(refute_0_113,plain,
    ( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
    | add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_111,refute_0_112]) ).

cnf(refute_0_114,plain,
    add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) )],[refute_0_110,refute_0_113]) ).

cnf(refute_0_115,plain,
    add(multiply(additive_identity,X_24),X_25) = multiply(X_25,add(X_24,X_25)),
    inference(subst,[],[refute_0_114:[bind(X_11,$fot(X_24)),bind(X_12,$fot(X_25))]]) ).

cnf(refute_0_116,plain,
    add(X_25,X_24) = add(X_24,X_25),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_25)),bind(Y,$fot(X_24))]]) ).

cnf(refute_0_117,plain,
    ( add(X_25,X_24) != add(X_24,X_25)
    | add(X_24,X_25) = add(X_25,X_24) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_25,X_24))),bind(Y0,$fot(add(X_24,X_25)))]]) ).

cnf(refute_0_118,plain,
    add(X_24,X_25) = add(X_25,X_24),
    inference(resolve,[$cnf( $equal(add(X_25,X_24),add(X_24,X_25)) )],[refute_0_116,refute_0_117]) ).

cnf(refute_0_119,plain,
    ( add(X_24,X_25) != add(X_25,X_24)
    | add(multiply(additive_identity,X_24),X_25) != multiply(X_25,add(X_24,X_25))
    | add(multiply(additive_identity,X_24),X_25) = multiply(X_25,add(X_25,X_24)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_24),X_25),multiply(X_25,add(X_24,X_25))) ),[1,1],$fot(add(X_25,X_24))]]) ).

cnf(refute_0_120,plain,
    ( add(multiply(additive_identity,X_24),X_25) != multiply(X_25,add(X_24,X_25))
    | add(multiply(additive_identity,X_24),X_25) = multiply(X_25,add(X_25,X_24)) ),
    inference(resolve,[$cnf( $equal(add(X_24,X_25),add(X_25,X_24)) )],[refute_0_118,refute_0_119]) ).

cnf(refute_0_121,plain,
    add(multiply(additive_identity,X_24),X_25) = multiply(X_25,add(X_25,X_24)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_25),multiply(X_25,add(X_24,X_25))) )],[refute_0_115,refute_0_120]) ).

cnf(refute_0_122,plain,
    add(multiply(additive_identity,Z),add(X,Z)) = multiply(add(X,Z),add(add(X,Z),Z)),
    inference(subst,[],[refute_0_121:[bind(X_24,$fot(Z)),bind(X_25,$fot(add(X,Z)))]]) ).

cnf(refute_0_123,plain,
    ( add(multiply(additive_identity,Z),add(X,Z)) != multiply(add(X,Z),add(add(X,Z),Z))
    | multiply(add(X,Z),add(add(X,Z),Z)) = add(multiply(additive_identity,Z),add(X,Z)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(additive_identity,Z),add(X,Z)))),bind(Y0,$fot(multiply(add(X,Z),add(add(X,Z),Z))))]]) ).

cnf(refute_0_124,plain,
    multiply(add(X,Z),add(add(X,Z),Z)) = add(multiply(additive_identity,Z),add(X,Z)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Z),add(X,Z)),multiply(add(X,Z),add(add(X,Z),Z))) )],[refute_0_122,refute_0_123]) ).

cnf(refute_0_125,plain,
    ( multiply(add(X,Z),add(add(X,Z),Z)) != add(multiply(additive_identity,Z),add(X,Z))
    | add(multiply(X,add(X,Z)),Z) != multiply(add(X,Z),add(add(X,Z),Z))
    | add(multiply(X,add(X,Z)),Z) = add(multiply(additive_identity,Z),add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,add(X,Z)),Z),multiply(add(X,Z),add(add(X,Z),Z))) ),[1],$fot(add(multiply(additive_identity,Z),add(X,Z)))]]) ).

cnf(refute_0_126,plain,
    ( add(multiply(X,add(X,Z)),Z) != multiply(add(X,Z),add(add(X,Z),Z))
    | add(multiply(X,add(X,Z)),Z) = add(multiply(additive_identity,Z),add(X,Z)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,Z),add(add(X,Z),Z)),add(multiply(additive_identity,Z),add(X,Z))) )],[refute_0_124,refute_0_125]) ).

cnf(refute_0_127,plain,
    add(multiply(X,add(X,Z)),Z) = add(multiply(additive_identity,Z),add(X,Z)),
    inference(resolve,[$cnf( $equal(add(multiply(X,add(X,Z)),Z),multiply(add(X,Z),add(add(X,Z),Z))) )],[refute_0_109,refute_0_126]) ).

cnf(refute_0_128,plain,
    add(multiply(X_43,X_43),Y) = add(Y,multiply(X_43,X_43)),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_43,X_43)))]]) ).

cnf(refute_0_129,plain,
    add(multiply(Y,Y),Z) = multiply(add(Y,Z),add(Y,Z)),
    inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_130,plain,
    add(Y,multiply(Z,Z)) = multiply(add(Y,Z),add(Y,Z)),
    inference(subst,[],[distributivity2:[bind(X,$fot(Y)),bind(Y,$fot(Z))]]) ).

cnf(refute_0_131,plain,
    ( add(Y,multiply(Z,Z)) != multiply(add(Y,Z),add(Y,Z))
    | multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(Y,multiply(Z,Z)))),bind(Y0,$fot(multiply(add(Y,Z),add(Y,Z))))]]) ).

cnf(refute_0_132,plain,
    multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(Z,Z)),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_130,refute_0_131]) ).

cnf(refute_0_133,plain,
    ( multiply(add(Y,Z),add(Y,Z)) != add(Y,multiply(Z,Z))
    | add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
    | add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) ),[1],$fot(add(Y,multiply(Z,Z)))]]) ).

cnf(refute_0_134,plain,
    ( add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
    | add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
    inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Y,Z)),add(Y,multiply(Z,Z))) )],[refute_0_132,refute_0_133]) ).

cnf(refute_0_135,plain,
    add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_129,refute_0_134]) ).

cnf(refute_0_136,plain,
    add(multiply(Y,Y),X_43) = add(Y,multiply(X_43,X_43)),
    inference(subst,[],[refute_0_135:[bind(Z,$fot(X_43))]]) ).

cnf(refute_0_137,plain,
    ( add(multiply(Y,Y),X_43) != add(Y,multiply(X_43,X_43))
    | add(Y,multiply(X_43,X_43)) = add(multiply(Y,Y),X_43) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(Y,Y),X_43))),bind(Y0,$fot(add(Y,multiply(X_43,X_43))))]]) ).

cnf(refute_0_138,plain,
    add(Y,multiply(X_43,X_43)) = add(multiply(Y,Y),X_43),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_43),add(Y,multiply(X_43,X_43))) )],[refute_0_136,refute_0_137]) ).

cnf(refute_0_139,plain,
    ( add(Y,multiply(X_43,X_43)) != add(multiply(Y,Y),X_43)
    | add(multiply(X_43,X_43),Y) != add(Y,multiply(X_43,X_43))
    | add(multiply(X_43,X_43),Y) = add(multiply(Y,Y),X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(Y,multiply(X_43,X_43))) ),[1],$fot(add(multiply(Y,Y),X_43))]]) ).

cnf(refute_0_140,plain,
    ( add(multiply(X_43,X_43),Y) != add(Y,multiply(X_43,X_43))
    | add(multiply(X_43,X_43),Y) = add(multiply(Y,Y),X_43) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_43,X_43)),add(multiply(Y,Y),X_43)) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    add(multiply(X_43,X_43),Y) = add(multiply(Y,Y),X_43),
    inference(resolve,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(Y,multiply(X_43,X_43))) )],[refute_0_128,refute_0_140]) ).

cnf(refute_0_142,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = multiply(multiply(X_50,X_50),add(multiplicative_identity,multiply(X_50,X_50))),
    inference(subst,[],[refute_0_114:[bind(X_11,$fot(multiplicative_identity)),bind(X_12,$fot(multiply(X_50,X_50)))]]) ).

cnf(refute_0_143,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_43) = add(multiplicative_identity,multiply(X_43,X_43)),
    inference(subst,[],[refute_0_135:[bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(X_43))]]) ).

cnf(refute_0_144,plain,
    multiply(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(multiplicative_identity))]]) ).

cnf(refute_0_145,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiplicative_identity,multiply(X_43,X_43))
    | add(multiplicative_identity,X_43) = add(multiplicative_identity,multiply(X_43,X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiplicative_identity,multiply(X_43,X_43))) ),[0,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_146,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiplicative_identity,multiply(X_43,X_43))
    | add(multiplicative_identity,X_43) = add(multiplicative_identity,multiply(X_43,X_43)) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity) )],[refute_0_144,refute_0_145]) ).

cnf(refute_0_147,plain,
    add(multiplicative_identity,X_43) = add(multiplicative_identity,multiply(X_43,X_43)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiplicative_identity,multiply(X_43,X_43))) )],[refute_0_143,refute_0_146]) ).

cnf(refute_0_148,plain,
    add(multiplicative_identity,X_50) = add(multiplicative_identity,multiply(X_50,X_50)),
    inference(subst,[],[refute_0_147:[bind(X_43,$fot(X_50))]]) ).

cnf(refute_0_149,plain,
    ( add(multiplicative_identity,X_50) != add(multiplicative_identity,multiply(X_50,X_50))
    | add(multiplicative_identity,multiply(X_50,X_50)) = add(multiplicative_identity,X_50) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiplicative_identity,X_50))),bind(Y0,$fot(add(multiplicative_identity,multiply(X_50,X_50))))]]) ).

cnf(refute_0_150,plain,
    add(multiplicative_identity,multiply(X_50,X_50)) = add(multiplicative_identity,X_50),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_50),add(multiplicative_identity,multiply(X_50,X_50))) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != multiply(multiply(X_50,X_50),add(multiplicative_identity,multiply(X_50,X_50)))
    | add(multiplicative_identity,multiply(X_50,X_50)) != add(multiplicative_identity,X_50)
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),multiply(multiply(X_50,X_50),add(multiplicative_identity,multiply(X_50,X_50)))) ),[1,1],$fot(add(multiplicative_identity,X_50))]]) ).

cnf(refute_0_152,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != multiply(multiply(X_50,X_50),add(multiplicative_identity,multiply(X_50,X_50)))
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_50,X_50)),add(multiplicative_identity,X_50)) )],[refute_0_150,refute_0_151]) ).

cnf(refute_0_153,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),multiply(multiply(X_50,X_50),add(multiplicative_identity,multiply(X_50,X_50)))) )],[refute_0_142,refute_0_152]) ).

cnf(refute_0_154,plain,
    add(X_50,additive_identity) = X_50,
    inference(subst,[],[additive_id1:[bind(X,$fot(X_50))]]) ).

cnf(refute_0_155,plain,
    multiply(additive_identity,multiplicative_identity) = additive_identity,
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(additive_identity))]]) ).

cnf(refute_0_156,plain,
    add(X_50,multiply(additive_identity,multiplicative_identity)) = add(X_50,multiply(additive_identity,multiplicative_identity)),
    introduced(tautology,[refl,[$fot(add(X_50,multiply(additive_identity,multiplicative_identity)))]]) ).

cnf(refute_0_157,plain,
    ( multiply(additive_identity,multiplicative_identity) != additive_identity
    | add(X_50,multiply(additive_identity,multiplicative_identity)) != add(X_50,multiply(additive_identity,multiplicative_identity))
    | add(X_50,multiply(additive_identity,multiplicative_identity)) = add(X_50,additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_50,multiply(additive_identity,multiplicative_identity)),add(X_50,multiply(additive_identity,multiplicative_identity))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_158,plain,
    ( multiply(additive_identity,multiplicative_identity) != additive_identity
    | add(X_50,multiply(additive_identity,multiplicative_identity)) = add(X_50,additive_identity) ),
    inference(resolve,[$cnf( $equal(add(X_50,multiply(additive_identity,multiplicative_identity)),add(X_50,multiply(additive_identity,multiplicative_identity))) )],[refute_0_156,refute_0_157]) ).

cnf(refute_0_159,plain,
    add(X_50,multiply(additive_identity,multiplicative_identity)) = add(X_50,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,multiplicative_identity),additive_identity) )],[refute_0_155,refute_0_158]) ).

cnf(refute_0_160,plain,
    ( add(X_50,multiply(additive_identity,multiplicative_identity)) != add(X_50,additive_identity)
    | add(X_50,additive_identity) != X_50
    | add(X_50,multiply(additive_identity,multiplicative_identity)) = X_50 ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(X_50,multiply(additive_identity,multiplicative_identity)))),bind(Y0,$fot(add(X_50,additive_identity))),bind(Z0,$fot(X_50))]]) ).

cnf(refute_0_161,plain,
    ( add(X_50,additive_identity) != X_50
    | add(X_50,multiply(additive_identity,multiplicative_identity)) = X_50 ),
    inference(resolve,[$cnf( $equal(add(X_50,multiply(additive_identity,multiplicative_identity)),add(X_50,additive_identity)) )],[refute_0_159,refute_0_160]) ).

cnf(refute_0_162,plain,
    add(X_50,multiply(additive_identity,multiplicative_identity)) = X_50,
    inference(resolve,[$cnf( $equal(add(X_50,additive_identity),X_50) )],[refute_0_154,refute_0_161]) ).

cnf(refute_0_163,plain,
    add(X_32,multiply(additive_identity,X_34)) = multiply(add(X_32,additive_identity),add(X_32,X_34)),
    inference(subst,[],[distributivity2:[bind(X,$fot(X_32)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_34))]]) ).

cnf(refute_0_164,plain,
    add(X_32,additive_identity) = X_32,
    inference(subst,[],[additive_id1:[bind(X,$fot(X_32))]]) ).

cnf(refute_0_165,plain,
    ( add(X_32,multiply(additive_identity,X_34)) != multiply(add(X_32,additive_identity),add(X_32,X_34))
    | add(X_32,additive_identity) != X_32
    | add(X_32,multiply(additive_identity,X_34)) = multiply(X_32,add(X_32,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,multiply(additive_identity,X_34)),multiply(add(X_32,additive_identity),add(X_32,X_34))) ),[1,0],$fot(X_32)]]) ).

cnf(refute_0_166,plain,
    ( add(X_32,multiply(additive_identity,X_34)) != multiply(add(X_32,additive_identity),add(X_32,X_34))
    | add(X_32,multiply(additive_identity,X_34)) = multiply(X_32,add(X_32,X_34)) ),
    inference(resolve,[$cnf( $equal(add(X_32,additive_identity),X_32) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    add(X_32,multiply(additive_identity,X_34)) = multiply(X_32,add(X_32,X_34)),
    inference(resolve,[$cnf( $equal(add(X_32,multiply(additive_identity,X_34)),multiply(add(X_32,additive_identity),add(X_32,X_34))) )],[refute_0_163,refute_0_166]) ).

cnf(refute_0_168,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)),
    inference(subst,[],[refute_0_167:[bind(X_32,$fot(multiply(Y,Y))),bind(X_34,$fot(X_49))]]) ).

cnf(refute_0_169,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_49)) = add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),
    inference(subst,[],[refute_0_135:[bind(Z,$fot(multiply(additive_identity,X_49)))]]) ).

cnf(refute_0_170,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(multiply(Y,Y),multiply(additive_identity,X_49)) != add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)))
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) ),[0],$fot(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))))]]) ).

cnf(refute_0_171,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)))) )],[refute_0_169,refute_0_170]) ).

cnf(refute_0_172,plain,
    add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) )],[refute_0_168,refute_0_171]) ).

cnf(refute_0_173,plain,
    add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),
    inference(subst,[],[refute_0_114:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).

cnf(refute_0_174,plain,
    add(X,multiply(additive_identity,additive_identity)) = add(multiply(additive_identity,additive_identity),X),
    inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,additive_identity)))]]) ).

cnf(refute_0_175,plain,
    add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),add(additive_identity,X_12)),
    inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).

cnf(refute_0_176,plain,
    ( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
    | add(additive_identity,X_12) != X_12
    | add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) ),[1,1],$fot(X_12)]]) ).

cnf(refute_0_177,plain,
    ( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
    | add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_111,refute_0_176]) ).

cnf(refute_0_178,plain,
    add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) )],[refute_0_175,refute_0_177]) ).

cnf(refute_0_179,plain,
    multiply(add(X_10,X_12),X_12) = multiply(X_12,add(X_10,X_12)),
    inference(subst,[],[refute_0_44:[bind(X,$fot(X_12)),bind(Y,$fot(add(X_10,X_12)))]]) ).

cnf(refute_0_180,plain,
    ( multiply(add(X_10,X_12),X_12) != multiply(X_12,add(X_10,X_12))
    | add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
    | add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) ),[1],$fot(multiply(X_12,add(X_10,X_12)))]]) ).

cnf(refute_0_181,plain,
    ( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
    | add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),X_12),multiply(X_12,add(X_10,X_12))) )],[refute_0_179,refute_0_180]) ).

cnf(refute_0_182,plain,
    add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) )],[refute_0_178,refute_0_181]) ).

cnf(refute_0_183,plain,
    add(multiply(additive_identity,additive_identity),X_16) = multiply(X_16,add(additive_identity,X_16)),
    inference(subst,[],[refute_0_182:[bind(X_10,$fot(additive_identity)),bind(X_12,$fot(X_16))]]) ).

cnf(refute_0_184,plain,
    add(additive_identity,X_16) = X_16,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_16))]]) ).

cnf(refute_0_185,plain,
    ( add(multiply(additive_identity,additive_identity),X_16) != multiply(X_16,add(additive_identity,X_16))
    | add(additive_identity,X_16) != X_16
    | add(multiply(additive_identity,additive_identity),X_16) = multiply(X_16,X_16) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_16),multiply(X_16,add(additive_identity,X_16))) ),[1,1],$fot(X_16)]]) ).

cnf(refute_0_186,plain,
    ( add(multiply(additive_identity,additive_identity),X_16) != multiply(X_16,add(additive_identity,X_16))
    | add(multiply(additive_identity,additive_identity),X_16) = multiply(X_16,X_16) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_16),X_16) )],[refute_0_184,refute_0_185]) ).

cnf(refute_0_187,plain,
    add(multiply(additive_identity,additive_identity),X_16) = multiply(X_16,X_16),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_16),multiply(X_16,add(additive_identity,X_16))) )],[refute_0_183,refute_0_186]) ).

cnf(refute_0_188,plain,
    add(multiply(additive_identity,additive_identity),X) = multiply(X,X),
    inference(subst,[],[refute_0_187:[bind(X_16,$fot(X))]]) ).

cnf(refute_0_189,plain,
    ( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
    | add(multiply(additive_identity,additive_identity),X) != multiply(X,X)
    | add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,additive_identity)),multiply(X,X)) ),[0],$fot(add(multiply(additive_identity,additive_identity),X))]]) ).

cnf(refute_0_190,plain,
    ( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
    | add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X),multiply(X,X)) )],[refute_0_188,refute_0_189]) ).

cnf(refute_0_191,plain,
    add(X,multiply(additive_identity,additive_identity)) = multiply(X,X),
    inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,additive_identity)),add(multiply(additive_identity,additive_identity),X)) )],[refute_0_174,refute_0_190]) ).

cnf(refute_0_192,plain,
    add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)),
    inference(subst,[],[refute_0_191:[bind(X,$fot(multiply(additive_identity,X_11)))]]) ).

cnf(refute_0_193,plain,
    ( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11))
    | add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
    | multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)))]]) ).

cnf(refute_0_194,plain,
    ( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
    | multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) )],[refute_0_173,refute_0_194]) ).

cnf(refute_0_196,plain,
    add(additive_identity,X_11) = X_11,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_197,plain,
    multiply(additive_identity,add(additive_identity,X_11)) = multiply(additive_identity,add(additive_identity,X_11)),
    introduced(tautology,[refl,[$fot(multiply(additive_identity,add(additive_identity,X_11)))]]) ).

cnf(refute_0_198,plain,
    ( multiply(additive_identity,add(additive_identity,X_11)) != multiply(additive_identity,add(additive_identity,X_11))
    | add(additive_identity,X_11) != X_11
    | multiply(additive_identity,add(additive_identity,X_11)) = multiply(additive_identity,X_11) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_11)),multiply(additive_identity,add(additive_identity,X_11))) ),[1,1],$fot(X_11)]]) ).

cnf(refute_0_199,plain,
    ( add(additive_identity,X_11) != X_11
    | multiply(additive_identity,add(additive_identity,X_11)) = multiply(additive_identity,X_11) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_11)),multiply(additive_identity,add(additive_identity,X_11))) )],[refute_0_197,refute_0_198]) ).

cnf(refute_0_200,plain,
    multiply(additive_identity,add(additive_identity,X_11)) = multiply(additive_identity,X_11),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_11),X_11) )],[refute_0_196,refute_0_199]) ).

cnf(refute_0_201,plain,
    ( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
    | add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).

cnf(refute_0_202,plain,
    add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
    inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity4,refute_0_201]) ).

cnf(refute_0_203,plain,
    add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)) = multiply(additive_identity,add(additive_identity,X_11)),
    inference(subst,[],[refute_0_202:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_11))]]) ).

cnf(refute_0_204,plain,
    add(X,multiply(additive_identity,X_24)) = add(multiply(additive_identity,X_24),X),
    inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,X_24)))]]) ).

cnf(refute_0_205,plain,
    add(multiply(additive_identity,X_24),X) = multiply(X,add(X_24,X)),
    inference(subst,[],[refute_0_114:[bind(X_11,$fot(X_24)),bind(X_12,$fot(X))]]) ).

cnf(refute_0_206,plain,
    ( add(X,multiply(additive_identity,X_24)) != add(multiply(additive_identity,X_24),X)
    | add(multiply(additive_identity,X_24),X) != multiply(X,add(X_24,X))
    | add(X,multiply(additive_identity,X_24)) = multiply(X,add(X_24,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,X_24)),multiply(X,add(X_24,X))) ),[0],$fot(add(multiply(additive_identity,X_24),X))]]) ).

cnf(refute_0_207,plain,
    ( add(X,multiply(additive_identity,X_24)) != add(multiply(additive_identity,X_24),X)
    | add(X,multiply(additive_identity,X_24)) = multiply(X,add(X_24,X)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X),multiply(X,add(X_24,X))) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    add(X,multiply(additive_identity,X_24)) = multiply(X,add(X_24,X)),
    inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_24)),add(multiply(additive_identity,X_24),X)) )],[refute_0_204,refute_0_207]) ).

cnf(refute_0_209,plain,
    ( add(X,multiply(additive_identity,X_24)) != multiply(X,add(X_24,X))
    | multiply(X,add(X_24,X)) = add(X,multiply(additive_identity,X_24)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X,multiply(additive_identity,X_24)))),bind(Y0,$fot(multiply(X,add(X_24,X))))]]) ).

cnf(refute_0_210,plain,
    multiply(X,add(X_24,X)) = add(X,multiply(additive_identity,X_24)),
    inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_24)),multiply(X,add(X_24,X))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)),
    inference(subst,[],[refute_0_210:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_11))]]) ).

cnf(refute_0_212,plain,
    ( multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11))
    | add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)) != multiply(additive_identity,add(additive_identity,X_11))
    | multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_11)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)))),bind(Z0,$fot(multiply(additive_identity,add(additive_identity,X_11))))]]) ).

cnf(refute_0_213,plain,
    ( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)) != multiply(additive_identity,add(additive_identity,X_11))
    | multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11))) )],[refute_0_211,refute_0_212]) ).

cnf(refute_0_214,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_11)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)),multiply(additive_identity,add(additive_identity,X_11))) )],[refute_0_203,refute_0_213]) ).

cnf(refute_0_215,plain,
    ( multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) != multiply(additive_identity,add(additive_identity,X_11))
    | multiply(additive_identity,add(additive_identity,X_11)) != multiply(additive_identity,X_11)
    | multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_11) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_11)))),bind(Z0,$fot(multiply(additive_identity,X_11)))]]) ).

cnf(refute_0_216,plain,
    ( multiply(additive_identity,add(additive_identity,X_11)) != multiply(additive_identity,X_11)
    | multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_11) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),multiply(additive_identity,add(additive_identity,X_11))) )],[refute_0_214,refute_0_215]) ).

cnf(refute_0_217,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_11),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_11)),multiply(additive_identity,X_11)) )],[refute_0_200,refute_0_216]) ).

cnf(refute_0_218,plain,
    ( multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
    | multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))) != multiply(additive_identity,X_11)
    | multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(additive_identity,X_11) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)),multiply(additive_identity,X_11)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))))]]) ).

cnf(refute_0_219,plain,
    ( multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
    | multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(additive_identity,X_11) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),multiply(additive_identity,X_11)) )],[refute_0_217,refute_0_218]) ).

cnf(refute_0_220,plain,
    multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)) = multiply(additive_identity,X_11),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_11),multiply(additive_identity,X_11)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) )],[refute_0_195,refute_0_219]) ).

cnf(refute_0_221,plain,
    multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)) = multiply(additive_identity,X_49),
    inference(subst,[],[refute_0_220:[bind(X_11,$fot(X_49))]]) ).

cnf(refute_0_222,plain,
    add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),
    introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))))]]) ).

cnf(refute_0_223,plain,
    ( multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)) != multiply(additive_identity,X_49)
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) != add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)))
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = add(Y,multiply(additive_identity,X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)))) ),[1,1],$fot(multiply(additive_identity,X_49))]]) ).

cnf(refute_0_224,plain,
    ( multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)) != multiply(additive_identity,X_49)
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = add(Y,multiply(additive_identity,X_49)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)))) )],[refute_0_222,refute_0_223]) ).

cnf(refute_0_225,plain,
    add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) = add(Y,multiply(additive_identity,X_49)),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49)),multiply(additive_identity,X_49)) )],[refute_0_221,refute_0_224]) ).

cnf(refute_0_226,plain,
    ( add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) != add(Y,multiply(additive_identity,X_49))
    | add(Y,multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) ),[0],$fot(add(Y,multiply(additive_identity,X_49)))]]) ).

cnf(refute_0_227,plain,
    ( add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),add(Y,multiply(additive_identity,X_49))) )],[refute_0_225,refute_0_226]) ).

cnf(refute_0_228,plain,
    add(multiply(additive_identity,X_49),Y) = add(Y,multiply(additive_identity,X_49)),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,X_49)))]]) ).

cnf(refute_0_229,plain,
    add(Y,multiply(additive_identity,X_49)) = multiply(Y,add(Y,X_49)),
    inference(subst,[],[refute_0_167:[bind(X_32,$fot(Y)),bind(X_34,$fot(X_49))]]) ).

cnf(refute_0_230,plain,
    ( add(Y,multiply(additive_identity,X_49)) != multiply(Y,add(Y,X_49))
    | add(multiply(additive_identity,X_49),Y) != add(Y,multiply(additive_identity,X_49))
    | add(multiply(additive_identity,X_49),Y) = multiply(Y,add(Y,X_49)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_49),Y),add(Y,multiply(additive_identity,X_49))) ),[1],$fot(multiply(Y,add(Y,X_49)))]]) ).

cnf(refute_0_231,plain,
    ( add(multiply(additive_identity,X_49),Y) != add(Y,multiply(additive_identity,X_49))
    | add(multiply(additive_identity,X_49),Y) = multiply(Y,add(Y,X_49)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),multiply(Y,add(Y,X_49))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    add(multiply(additive_identity,X_49),Y) = multiply(Y,add(Y,X_49)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_49),Y),add(Y,multiply(additive_identity,X_49))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( add(multiply(additive_identity,X_49),Y) != multiply(Y,add(Y,X_49))
    | multiply(Y,add(Y,X_49)) = add(multiply(additive_identity,X_49),Y) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(additive_identity,X_49),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_49))))]]) ).

cnf(refute_0_234,plain,
    multiply(Y,add(Y,X_49)) = add(multiply(additive_identity,X_49),Y),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_49),Y),multiply(Y,add(Y,X_49))) )],[refute_0_232,refute_0_233]) ).

cnf(refute_0_235,plain,
    multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) = add(multiply(additive_identity,X_49),multiply(Y,Y)),
    inference(subst,[],[refute_0_234:[bind(Y,$fot(multiply(Y,Y)))]]) ).

cnf(refute_0_236,plain,
    ( multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)) != add(multiply(additive_identity,X_49),multiply(Y,Y))
    | add(Y,multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(additive_identity,X_49),multiply(Y,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) ),[1],$fot(add(multiply(additive_identity,X_49),multiply(Y,Y)))]]) ).

cnf(refute_0_237,plain,
    ( add(Y,multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(additive_identity,X_49),multiply(Y,Y)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(multiply(Y,Y),X_49)),add(multiply(additive_identity,X_49),multiply(Y,Y))) )],[refute_0_235,refute_0_236]) ).

cnf(refute_0_238,plain,
    ( add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(additive_identity,X_49),multiply(Y,Y)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) )],[refute_0_227,refute_0_237]) ).

cnf(refute_0_239,plain,
    add(Y,multiply(additive_identity,X_49)) = add(multiply(additive_identity,X_49),multiply(Y,Y)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_49),multiply(additive_identity,X_49))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) )],[refute_0_172,refute_0_238]) ).

cnf(refute_0_240,plain,
    ( add(Y,multiply(additive_identity,X_49)) != add(multiply(additive_identity,X_49),multiply(Y,Y))
    | add(multiply(additive_identity,X_49),multiply(Y,Y)) = add(Y,multiply(additive_identity,X_49)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(Y,multiply(additive_identity,X_49)))),bind(Y0,$fot(add(multiply(additive_identity,X_49),multiply(Y,Y))))]]) ).

cnf(refute_0_241,plain,
    add(multiply(additive_identity,X_49),multiply(Y,Y)) = add(Y,multiply(additive_identity,X_49)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),add(multiply(additive_identity,X_49),multiply(Y,Y))) )],[refute_0_239,refute_0_240]) ).

cnf(refute_0_242,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = add(X_50,multiply(additive_identity,multiplicative_identity)),
    inference(subst,[],[refute_0_241:[bind(Y,$fot(X_50)),bind(X_49,$fot(multiplicative_identity))]]) ).

cnf(refute_0_243,plain,
    ( add(X_50,multiply(additive_identity,multiplicative_identity)) != X_50
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != add(X_50,multiply(additive_identity,multiplicative_identity))
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = X_50 ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)))),bind(Y0,$fot(add(X_50,multiply(additive_identity,multiplicative_identity)))),bind(Z0,$fot(X_50))]]) ).

cnf(refute_0_244,plain,
    ( add(X_50,multiply(additive_identity,multiplicative_identity)) != X_50
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = X_50 ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),add(X_50,multiply(additive_identity,multiplicative_identity))) )],[refute_0_242,refute_0_243]) ).

cnf(refute_0_245,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) = X_50,
    inference(resolve,[$cnf( $equal(add(X_50,multiply(additive_identity,multiplicative_identity)),X_50) )],[refute_0_162,refute_0_244]) ).

cnf(refute_0_246,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != X_50
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))
    | X_50 = multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))) ),[0],$fot(X_50)]]) ).

cnf(refute_0_247,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))
    | X_50 = multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),X_50) )],[refute_0_245,refute_0_246]) ).

cnf(refute_0_248,plain,
    add(multiply(multiplicative_identity,additive_identity),X_16) = multiply(X_16,add(multiplicative_identity,X_16)),
    inference(subst,[],[refute_0_182:[bind(X_10,$fot(multiplicative_identity)),bind(X_12,$fot(X_16))]]) ).

cnf(refute_0_249,plain,
    multiply(multiplicative_identity,additive_identity) = additive_identity,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(additive_identity))]]) ).

cnf(refute_0_250,plain,
    ( multiply(multiplicative_identity,additive_identity) != additive_identity
    | add(multiply(multiplicative_identity,additive_identity),X_16) != multiply(X_16,add(multiplicative_identity,X_16))
    | add(additive_identity,X_16) = multiply(X_16,add(multiplicative_identity,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,additive_identity),X_16),multiply(X_16,add(multiplicative_identity,X_16))) ),[0,0],$fot(additive_identity)]]) ).

cnf(refute_0_251,plain,
    ( add(multiply(multiplicative_identity,additive_identity),X_16) != multiply(X_16,add(multiplicative_identity,X_16))
    | add(additive_identity,X_16) = multiply(X_16,add(multiplicative_identity,X_16)) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,additive_identity),additive_identity) )],[refute_0_249,refute_0_250]) ).

cnf(refute_0_252,plain,
    add(additive_identity,X_16) = multiply(X_16,add(multiplicative_identity,X_16)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,additive_identity),X_16),multiply(X_16,add(multiplicative_identity,X_16))) )],[refute_0_248,refute_0_251]) ).

cnf(refute_0_253,plain,
    ( add(additive_identity,X_16) != X_16
    | add(additive_identity,X_16) != multiply(X_16,add(multiplicative_identity,X_16))
    | X_16 = multiply(X_16,add(multiplicative_identity,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,X_16),multiply(X_16,add(multiplicative_identity,X_16))) ),[0],$fot(X_16)]]) ).

cnf(refute_0_254,plain,
    ( add(additive_identity,X_16) != multiply(X_16,add(multiplicative_identity,X_16))
    | X_16 = multiply(X_16,add(multiplicative_identity,X_16)) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_16),X_16) )],[refute_0_184,refute_0_253]) ).

cnf(refute_0_255,plain,
    X_16 = multiply(X_16,add(multiplicative_identity,X_16)),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_16),multiply(X_16,add(multiplicative_identity,X_16))) )],[refute_0_252,refute_0_254]) ).

cnf(refute_0_256,plain,
    multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43))),
    inference(subst,[],[refute_0_255:[bind(X_16,$fot(multiply(X_43,X_43)))]]) ).

cnf(refute_0_257,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiplicative_identity,multiply(X_43,X_43))
    | add(multiplicative_identity,multiply(X_43,X_43)) = add(multiply(multiplicative_identity,multiplicative_identity),X_43) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_43))),bind(Y0,$fot(add(multiplicative_identity,multiply(X_43,X_43))))]]) ).

cnf(refute_0_258,plain,
    add(multiplicative_identity,multiply(X_43,X_43)) = add(multiply(multiplicative_identity,multiplicative_identity),X_43),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiplicative_identity,multiply(X_43,X_43))) )],[refute_0_143,refute_0_257]) ).

cnf(refute_0_259,plain,
    ( multiply(X_43,X_43) != multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))
    | add(multiplicative_identity,multiply(X_43,X_43)) != add(multiply(multiplicative_identity,multiplicative_identity),X_43)
    | multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_43,X_43),multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))) ),[1,1],$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_43))]]) ).

cnf(refute_0_260,plain,
    ( multiply(X_43,X_43) != multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))
    | multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_43,X_43)),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) )],[refute_0_258,refute_0_259]) ).

cnf(refute_0_261,plain,
    multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)),
    inference(resolve,[$cnf( $equal(multiply(X_43,X_43),multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))) )],[refute_0_256,refute_0_260]) ).

cnf(refute_0_262,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_43) = add(multiply(multiplicative_identity,multiplicative_identity),X_43),
    introduced(tautology,[refl,[$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_43))]]) ).

cnf(refute_0_263,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiply(multiplicative_identity,multiplicative_identity),X_43)
    | add(multiply(multiplicative_identity,multiplicative_identity),X_43) = add(multiplicative_identity,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_264,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_43) = add(multiplicative_identity,X_43) ),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) )],[refute_0_262,refute_0_263]) ).

cnf(refute_0_265,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_43) = add(multiplicative_identity,X_43),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity) )],[refute_0_144,refute_0_264]) ).

cnf(refute_0_266,plain,
    multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) = multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)))]]) ).

cnf(refute_0_267,plain,
    ( multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) != multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))
    | add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiplicative_identity,X_43)
    | multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)),multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))) ),[1,1],$fot(add(multiplicative_identity,X_43))]]) ).

cnf(refute_0_268,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_43) != add(multiplicative_identity,X_43)
    | multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)),multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))) )],[refute_0_266,refute_0_267]) ).

cnf(refute_0_269,plain,
    multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_43),add(multiplicative_identity,X_43)) )],[refute_0_265,refute_0_268]) ).

cnf(refute_0_270,plain,
    ( multiply(X_43,X_43) != multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))
    | multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)) != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_43,X_43),multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) ),[0],$fot(multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)))]]) ).

cnf(refute_0_271,plain,
    ( multiply(X_43,X_43) != multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))
    | multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43)),multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) )],[refute_0_269,refute_0_270]) ).

cnf(refute_0_272,plain,
    multiply(X_43,X_43) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)),
    inference(resolve,[$cnf( $equal(multiply(X_43,X_43),multiply(multiply(X_43,X_43),add(multiply(multiplicative_identity,multiplicative_identity),X_43))) )],[refute_0_261,refute_0_271]) ).

cnf(refute_0_273,plain,
    ( multiply(X_43,X_43) != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) = multiply(X_43,X_43) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X_43,X_43))),bind(Y0,$fot(multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))))]]) ).

cnf(refute_0_274,plain,
    multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) = multiply(X_43,X_43),
    inference(resolve,[$cnf( $equal(multiply(X_43,X_43),multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) )],[refute_0_272,refute_0_273]) ).

cnf(refute_0_275,plain,
    multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) = multiply(X_50,X_50),
    inference(subst,[],[refute_0_274:[bind(X_43,$fot(X_50))]]) ).

cnf(refute_0_276,plain,
    ( X_50 != multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))
    | multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)) != multiply(X_50,X_50)
    | X_50 = multiply(X_50,X_50) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_50,multiply(X_50,X_50)) ),[0],$fot(multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)))]]) ).

cnf(refute_0_277,plain,
    ( X_50 != multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))
    | X_50 = multiply(X_50,X_50) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50)),multiply(X_50,X_50)) )],[refute_0_275,refute_0_276]) ).

cnf(refute_0_278,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)) != multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))
    | X_50 = multiply(X_50,X_50) ),
    inference(resolve,[$cnf( $equal(X_50,multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))) )],[refute_0_247,refute_0_277]) ).

cnf(refute_0_279,plain,
    X_50 = multiply(X_50,X_50),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_50,X_50)),multiply(multiply(X_50,X_50),add(multiplicative_identity,X_50))) )],[refute_0_153,refute_0_278]) ).

cnf(refute_0_280,plain,
    ( X_50 != multiply(X_50,X_50)
    | multiply(X_50,X_50) = X_50 ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_50)),bind(Y0,$fot(multiply(X_50,X_50)))]]) ).

cnf(refute_0_281,plain,
    multiply(X_50,X_50) = X_50,
    inference(resolve,[$cnf( $equal(X_50,multiply(X_50,X_50)) )],[refute_0_279,refute_0_280]) ).

cnf(refute_0_282,plain,
    multiply(X_43,X_43) = X_43,
    inference(subst,[],[refute_0_281:[bind(X_50,$fot(X_43))]]) ).

cnf(refute_0_283,plain,
    add(multiply(X_43,X_43),Y) = add(multiply(X_43,X_43),Y),
    introduced(tautology,[refl,[$fot(add(multiply(X_43,X_43),Y))]]) ).

cnf(refute_0_284,plain,
    ( multiply(X_43,X_43) != X_43
    | add(multiply(X_43,X_43),Y) != add(multiply(X_43,X_43),Y)
    | add(multiply(X_43,X_43),Y) = add(X_43,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(multiply(X_43,X_43),Y)) ),[1,0],$fot(X_43)]]) ).

cnf(refute_0_285,plain,
    ( multiply(X_43,X_43) != X_43
    | add(multiply(X_43,X_43),Y) = add(X_43,Y) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(multiply(X_43,X_43),Y)) )],[refute_0_283,refute_0_284]) ).

cnf(refute_0_286,plain,
    add(multiply(X_43,X_43),Y) = add(X_43,Y),
    inference(resolve,[$cnf( $equal(multiply(X_43,X_43),X_43) )],[refute_0_282,refute_0_285]) ).

cnf(refute_0_287,plain,
    ( add(multiply(X_43,X_43),Y) != add(X_43,Y)
    | add(multiply(X_43,X_43),Y) != add(multiply(Y,Y),X_43)
    | add(X_43,Y) = add(multiply(Y,Y),X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(multiply(Y,Y),X_43)) ),[0],$fot(add(X_43,Y))]]) ).

cnf(refute_0_288,plain,
    ( add(multiply(X_43,X_43),Y) != add(multiply(Y,Y),X_43)
    | add(X_43,Y) = add(multiply(Y,Y),X_43) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(X_43,Y)) )],[refute_0_286,refute_0_287]) ).

cnf(refute_0_289,plain,
    multiply(Y,Y) = Y,
    inference(subst,[],[refute_0_281:[bind(X_50,$fot(Y))]]) ).

cnf(refute_0_290,plain,
    add(multiply(Y,Y),X_43) = add(multiply(Y,Y),X_43),
    introduced(tautology,[refl,[$fot(add(multiply(Y,Y),X_43))]]) ).

cnf(refute_0_291,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),X_43) != add(multiply(Y,Y),X_43)
    | add(multiply(Y,Y),X_43) = add(Y,X_43) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),X_43),add(multiply(Y,Y),X_43)) ),[1,0],$fot(Y)]]) ).

cnf(refute_0_292,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),X_43) = add(Y,X_43) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_43),add(multiply(Y,Y),X_43)) )],[refute_0_290,refute_0_291]) ).

cnf(refute_0_293,plain,
    add(multiply(Y,Y),X_43) = add(Y,X_43),
    inference(resolve,[$cnf( $equal(multiply(Y,Y),Y) )],[refute_0_289,refute_0_292]) ).

cnf(refute_0_294,plain,
    ( add(X_43,Y) != add(multiply(Y,Y),X_43)
    | add(multiply(Y,Y),X_43) != add(Y,X_43)
    | add(X_43,Y) = add(Y,X_43) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X_43,Y),add(Y,X_43)) ),[0],$fot(add(multiply(Y,Y),X_43))]]) ).

cnf(refute_0_295,plain,
    ( add(X_43,Y) != add(multiply(Y,Y),X_43)
    | add(X_43,Y) = add(Y,X_43) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_43),add(Y,X_43)) )],[refute_0_293,refute_0_294]) ).

cnf(refute_0_296,plain,
    ( add(multiply(X_43,X_43),Y) != add(multiply(Y,Y),X_43)
    | add(X_43,Y) = add(Y,X_43) ),
    inference(resolve,[$cnf( $equal(add(X_43,Y),add(multiply(Y,Y),X_43)) )],[refute_0_288,refute_0_295]) ).

cnf(refute_0_297,plain,
    add(X_43,Y) = add(Y,X_43),
    inference(resolve,[$cnf( $equal(add(multiply(X_43,X_43),Y),add(multiply(Y,Y),X_43)) )],[refute_0_141,refute_0_296]) ).

cnf(refute_0_298,plain,
    ( add(X_43,Y) != add(Y,X_43)
    | add(Y,X_43) = add(X_43,Y) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_43,Y))),bind(Y0,$fot(add(Y,X_43)))]]) ).

cnf(refute_0_299,plain,
    add(Y,X_43) = add(X_43,Y),
    inference(resolve,[$cnf( $equal(add(X_43,Y),add(Y,X_43)) )],[refute_0_297,refute_0_298]) ).

cnf(refute_0_300,plain,
    add(multiply(X,add(X,Z)),Z) = add(Z,multiply(X,add(X,Z))),
    inference(subst,[],[refute_0_299:[bind(Y,$fot(multiply(X,add(X,Z)))),bind(X_43,$fot(Z))]]) ).

cnf(refute_0_301,plain,
    ( add(multiply(X,add(X,Z)),Z) != add(Z,multiply(X,add(X,Z)))
    | add(multiply(X,add(X,Z)),Z) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,multiply(X,add(X,Z))) = add(multiply(additive_identity,Z),add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,add(X,Z)),Z),add(multiply(additive_identity,Z),add(X,Z))) ),[0],$fot(add(Z,multiply(X,add(X,Z))))]]) ).

cnf(refute_0_302,plain,
    ( add(multiply(X,add(X,Z)),Z) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,multiply(X,add(X,Z))) = add(multiply(additive_identity,Z),add(X,Z)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,add(X,Z)),Z),add(Z,multiply(X,add(X,Z)))) )],[refute_0_300,refute_0_301]) ).

cnf(refute_0_303,plain,
    add(Z,multiply(X,add(X,Z))) = add(multiply(additive_identity,Z),add(X,Z)),
    inference(resolve,[$cnf( $equal(add(multiply(X,add(X,Z)),Z),add(multiply(additive_identity,Z),add(X,Z))) )],[refute_0_127,refute_0_302]) ).

cnf(refute_0_304,plain,
    add(X,multiply(multiply(X_47,additive_identity),Z)) = multiply(add(X,multiply(X_47,additive_identity)),add(X,Z)),
    inference(subst,[],[distributivity2:[bind(Y,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_305,plain,
    add(X_32,multiply(X_33,additive_identity)) = multiply(add(X_32,X_33),add(X_32,additive_identity)),
    inference(subst,[],[distributivity2:[bind(X,$fot(X_32)),bind(Y,$fot(X_33)),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_306,plain,
    ( add(X_32,multiply(X_33,additive_identity)) != multiply(add(X_32,X_33),add(X_32,additive_identity))
    | add(X_32,additive_identity) != X_32
    | add(X_32,multiply(X_33,additive_identity)) = multiply(add(X_32,X_33),X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(add(X_32,X_33),add(X_32,additive_identity))) ),[1,1],$fot(X_32)]]) ).

cnf(refute_0_307,plain,
    ( add(X_32,multiply(X_33,additive_identity)) != multiply(add(X_32,X_33),add(X_32,additive_identity))
    | add(X_32,multiply(X_33,additive_identity)) = multiply(add(X_32,X_33),X_32) ),
    inference(resolve,[$cnf( $equal(add(X_32,additive_identity),X_32) )],[refute_0_164,refute_0_306]) ).

cnf(refute_0_308,plain,
    add(X_32,multiply(X_33,additive_identity)) = multiply(add(X_32,X_33),X_32),
    inference(resolve,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(add(X_32,X_33),add(X_32,additive_identity))) )],[refute_0_305,refute_0_307]) ).

cnf(refute_0_309,plain,
    multiply(add(X_32,X_33),X_32) = multiply(X_32,add(X_32,X_33)),
    inference(subst,[],[refute_0_44:[bind(X,$fot(X_32)),bind(Y,$fot(add(X_32,X_33)))]]) ).

cnf(refute_0_310,plain,
    ( multiply(add(X_32,X_33),X_32) != multiply(X_32,add(X_32,X_33))
    | add(X_32,multiply(X_33,additive_identity)) != multiply(add(X_32,X_33),X_32)
    | add(X_32,multiply(X_33,additive_identity)) = multiply(X_32,add(X_32,X_33)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(add(X_32,X_33),X_32)) ),[1],$fot(multiply(X_32,add(X_32,X_33)))]]) ).

cnf(refute_0_311,plain,
    ( add(X_32,multiply(X_33,additive_identity)) != multiply(add(X_32,X_33),X_32)
    | add(X_32,multiply(X_33,additive_identity)) = multiply(X_32,add(X_32,X_33)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_32,X_33),X_32),multiply(X_32,add(X_32,X_33))) )],[refute_0_309,refute_0_310]) ).

cnf(refute_0_312,plain,
    add(X_32,multiply(X_33,additive_identity)) = multiply(X_32,add(X_32,X_33)),
    inference(resolve,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(add(X_32,X_33),X_32)) )],[refute_0_308,refute_0_311]) ).

cnf(refute_0_313,plain,
    add(X,multiply(X_47,additive_identity)) = multiply(X,add(X,X_47)),
    inference(subst,[],[refute_0_312:[bind(X_32,$fot(X)),bind(X_33,$fot(X_47))]]) ).

cnf(refute_0_314,plain,
    ( add(X,multiply(X_47,additive_identity)) != multiply(X,add(X,X_47))
    | add(X,multiply(multiply(X_47,additive_identity),Z)) != multiply(add(X,multiply(X_47,additive_identity)),add(X,Z))
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = multiply(multiply(X,add(X,X_47)),add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),multiply(add(X,multiply(X_47,additive_identity)),add(X,Z))) ),[1,0],$fot(multiply(X,add(X,X_47)))]]) ).

cnf(refute_0_315,plain,
    ( add(X,multiply(multiply(X_47,additive_identity),Z)) != multiply(add(X,multiply(X_47,additive_identity)),add(X,Z))
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = multiply(multiply(X,add(X,X_47)),add(X,Z)) ),
    inference(resolve,[$cnf( $equal(add(X,multiply(X_47,additive_identity)),multiply(X,add(X,X_47))) )],[refute_0_313,refute_0_314]) ).

cnf(refute_0_316,plain,
    add(X,multiply(multiply(X_47,additive_identity),Z)) = multiply(multiply(X,add(X,X_47)),add(X,Z)),
    inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),multiply(add(X,multiply(X_47,additive_identity)),add(X,Z))) )],[refute_0_304,refute_0_315]) ).

cnf(refute_0_317,plain,
    add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),
    inference(subst,[],[refute_0_182:[bind(X_12,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_318,plain,
    add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11))),
    inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_11)))]]) ).

cnf(refute_0_319,plain,
    add(X_11,inverse(X_11)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_320,plain,
    ( add(X_11,inverse(X_11)) != multiplicative_identity
    | add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
    | add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_321,plain,
    ( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
    | add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),multiplicative_identity) )],[refute_0_319,refute_0_320]) ).

cnf(refute_0_322,plain,
    add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) )],[refute_0_318,refute_0_321]) ).

cnf(refute_0_323,plain,
    add(multiply(X_10,X_11),inverse(X_11)) = add(inverse(X_11),multiply(X_10,X_11)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).

cnf(refute_0_324,plain,
    ( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
    | add(multiply(X_10,X_11),inverse(X_11)) != add(inverse(X_11),multiply(X_10,X_11))
    | add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[0],$fot(add(inverse(X_11),multiply(X_10,X_11)))]]) ).

cnf(refute_0_325,plain,
    ( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
    | add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) )],[refute_0_323,refute_0_324]) ).

cnf(refute_0_326,plain,
    multiply(add(X_10,inverse(X_11)),multiplicative_identity) = add(X_10,inverse(X_11)),
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,inverse(X_11))))]]) ).

cnf(refute_0_327,plain,
    ( multiply(add(X_10,inverse(X_11)),multiplicative_identity) != add(X_10,inverse(X_11))
    | add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
    | add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[1],$fot(add(X_10,inverse(X_11)))]]) ).

cnf(refute_0_328,plain,
    ( add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
    | add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(X_11)),multiplicative_identity),add(X_10,inverse(X_11))) )],[refute_0_326,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
    | add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_325,refute_0_328]) ).

cnf(refute_0_330,plain,
    add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_322,refute_0_329]) ).

cnf(refute_0_331,plain,
    add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) = add(X_20,inverse(inverse(X_20))),
    inference(subst,[],[refute_0_330:[bind(X_10,$fot(X_20)),bind(X_11,$fot(inverse(X_20)))]]) ).

cnf(refute_0_332,plain,
    multiply(X_20,inverse(X_20)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_20))]]) ).

cnf(refute_0_333,plain,
    ( multiply(X_20,inverse(X_20)) != additive_identity
    | add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) != add(X_20,inverse(inverse(X_20)))
    | add(inverse(inverse(X_20)),additive_identity) = add(X_20,inverse(inverse(X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))),add(X_20,inverse(inverse(X_20)))) ),[0,1],$fot(additive_identity)]]) ).

cnf(refute_0_334,plain,
    ( add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))) != add(X_20,inverse(inverse(X_20)))
    | add(inverse(inverse(X_20)),additive_identity) = add(X_20,inverse(inverse(X_20))) ),
    inference(resolve,[$cnf( $equal(multiply(X_20,inverse(X_20)),additive_identity) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    add(inverse(inverse(X_20)),additive_identity) = add(X_20,inverse(inverse(X_20))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),multiply(X_20,inverse(X_20))),add(X_20,inverse(inverse(X_20)))) )],[refute_0_331,refute_0_334]) ).

cnf(refute_0_336,plain,
    add(inverse(inverse(X_20)),additive_identity) = inverse(inverse(X_20)),
    inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_20))))]]) ).

cnf(refute_0_337,plain,
    ( add(inverse(inverse(X_20)),additive_identity) != add(X_20,inverse(inverse(X_20)))
    | add(inverse(inverse(X_20)),additive_identity) != inverse(inverse(X_20))
    | inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_20)),additive_identity),add(X_20,inverse(inverse(X_20)))) ),[0],$fot(inverse(inverse(X_20)))]]) ).

cnf(refute_0_338,plain,
    ( add(inverse(inverse(X_20)),additive_identity) != add(X_20,inverse(inverse(X_20)))
    | inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),additive_identity),inverse(inverse(X_20))) )],[refute_0_336,refute_0_337]) ).

cnf(refute_0_339,plain,
    inverse(inverse(X_20)) = add(X_20,inverse(inverse(X_20))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_20)),additive_identity),add(X_20,inverse(inverse(X_20)))) )],[refute_0_335,refute_0_338]) ).

cnf(refute_0_340,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),
    inference(subst,[],[refute_0_339:[bind(X_20,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_341,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))
    | add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = inverse(inverse(multiply(X_10,additive_identity))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(inverse(multiply(X_10,additive_identity))))),bind(Y0,$fot(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))))]]) ).

cnf(refute_0_342,plain,
    add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = inverse(inverse(multiply(X_10,additive_identity))),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_340,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
    | add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != inverse(inverse(multiply(X_10,additive_identity)))
    | inverse(inverse(multiply(X_10,additive_identity))) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) ),[0],$fot(inverse(inverse(multiply(X_10,additive_identity))))]]) ).

cnf(refute_0_344,plain,
    ( add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
    | inverse(inverse(multiply(X_10,additive_identity))) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),inverse(inverse(multiply(X_10,additive_identity)))) )],[refute_0_342,refute_0_343]) ).

cnf(refute_0_345,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) )],[refute_0_317,refute_0_344]) ).

cnf(refute_0_346,plain,
    add(multiply(X_15,additive_identity),X_16) = multiply(X_16,add(X_15,X_16)),
    inference(subst,[],[refute_0_182:[bind(X_10,$fot(X_15)),bind(X_12,$fot(X_16))]]) ).

cnf(refute_0_347,plain,
    multiply(additive_identity,X_15) = multiply(X_15,additive_identity),
    inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_15))]]) ).

cnf(refute_0_348,plain,
    ( multiply(additive_identity,X_15) != multiply(X_15,additive_identity)
    | multiply(X_15,additive_identity) = multiply(additive_identity,X_15) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(additive_identity,X_15))),bind(Y0,$fot(multiply(X_15,additive_identity)))]]) ).

cnf(refute_0_349,plain,
    multiply(X_15,additive_identity) = multiply(additive_identity,X_15),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_15),multiply(X_15,additive_identity)) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    ( multiply(X_15,additive_identity) != multiply(additive_identity,X_15)
    | add(multiply(X_15,additive_identity),X_16) != multiply(X_16,add(X_15,X_16))
    | add(multiply(additive_identity,X_15),X_16) = multiply(X_16,add(X_15,X_16)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_15,additive_identity),X_16),multiply(X_16,add(X_15,X_16))) ),[0,0],$fot(multiply(additive_identity,X_15))]]) ).

cnf(refute_0_351,plain,
    ( add(multiply(X_15,additive_identity),X_16) != multiply(X_16,add(X_15,X_16))
    | add(multiply(additive_identity,X_15),X_16) = multiply(X_16,add(X_15,X_16)) ),
    inference(resolve,[$cnf( $equal(multiply(X_15,additive_identity),multiply(additive_identity,X_15)) )],[refute_0_349,refute_0_350]) ).

cnf(refute_0_352,plain,
    add(multiply(additive_identity,X_15),X_16) = multiply(X_16,add(X_15,X_16)),
    inference(resolve,[$cnf( $equal(add(multiply(X_15,additive_identity),X_16),multiply(X_16,add(X_15,X_16))) )],[refute_0_346,refute_0_351]) ).

cnf(refute_0_353,plain,
    ( add(multiply(additive_identity,X_15),X_16) != multiply(X_16,add(X_15,X_16))
    | multiply(X_16,add(X_15,X_16)) = add(multiply(additive_identity,X_15),X_16) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(additive_identity,X_15),X_16))),bind(Y0,$fot(multiply(X_16,add(X_15,X_16))))]]) ).

cnf(refute_0_354,plain,
    multiply(X_16,add(X_15,X_16)) = add(multiply(additive_identity,X_15),X_16),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_15),X_16),multiply(X_16,add(X_15,X_16))) )],[refute_0_352,refute_0_353]) ).

cnf(refute_0_355,plain,
    multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
    inference(subst,[],[refute_0_354:[bind(X_15,$fot(X_10)),bind(X_16,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_356,plain,
    ( multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | inverse(inverse(multiply(X_10,additive_identity))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
    | inverse(inverse(multiply(X_10,additive_identity))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) ),[1],$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_357,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
    | inverse(inverse(multiply(X_10,additive_identity))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_355,refute_0_356]) ).

cnf(refute_0_358,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) )],[refute_0_345,refute_0_357]) ).

cnf(refute_0_359,plain,
    multiply(multiplicative_identity,inverse(multiplicative_identity)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(multiplicative_identity))]]) ).

cnf(refute_0_360,plain,
    multiply(multiplicative_identity,inverse(multiplicative_identity)) = inverse(multiplicative_identity),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(multiplicative_identity)))]]) ).

cnf(refute_0_361,plain,
    ( multiply(multiplicative_identity,inverse(multiplicative_identity)) != additive_identity
    | multiply(multiplicative_identity,inverse(multiplicative_identity)) != inverse(multiplicative_identity)
    | inverse(multiplicative_identity) = additive_identity ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) ),[0],$fot(inverse(multiplicative_identity))]]) ).

cnf(refute_0_362,plain,
    ( multiply(multiplicative_identity,inverse(multiplicative_identity)) != additive_identity
    | inverse(multiplicative_identity) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),inverse(multiplicative_identity)) )],[refute_0_360,refute_0_361]) ).

cnf(refute_0_363,plain,
    inverse(multiplicative_identity) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) )],[refute_0_359,refute_0_362]) ).

cnf(refute_0_364,plain,
    add(additive_identity,inverse(additive_identity)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(additive_identity))]]) ).

cnf(refute_0_365,plain,
    add(additive_identity,inverse(additive_identity)) = inverse(additive_identity),
    inference(subst,[],[additive_id2:[bind(X,$fot(inverse(additive_identity)))]]) ).

cnf(refute_0_366,plain,
    ( add(additive_identity,inverse(additive_identity)) != inverse(additive_identity)
    | add(additive_identity,inverse(additive_identity)) != multiplicative_identity
    | inverse(additive_identity) = multiplicative_identity ),
    introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),multiplicative_identity) ),[0],$fot(inverse(additive_identity))]]) ).

cnf(refute_0_367,plain,
    ( add(additive_identity,inverse(additive_identity)) != multiplicative_identity
    | inverse(additive_identity) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),inverse(additive_identity)) )],[refute_0_365,refute_0_366]) ).

cnf(refute_0_368,plain,
    inverse(additive_identity) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),multiplicative_identity) )],[refute_0_364,refute_0_367]) ).

cnf(refute_0_369,plain,
    X_17 = multiply(X_17,add(multiplicative_identity,X_17)),
    inference(subst,[],[refute_0_255:[bind(X_16,$fot(X_17))]]) ).

cnf(refute_0_370,plain,
    add(X_17,multiplicative_identity) = add(multiplicative_identity,X_17),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_17)),bind(Y,$fot(multiplicative_identity))]]) ).

cnf(refute_0_371,plain,
    ( add(X_17,multiplicative_identity) != add(multiplicative_identity,X_17)
    | add(multiplicative_identity,X_17) = add(X_17,multiplicative_identity) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_17,multiplicative_identity))),bind(Y0,$fot(add(multiplicative_identity,X_17)))]]) ).

cnf(refute_0_372,plain,
    add(multiplicative_identity,X_17) = add(X_17,multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(X_17,multiplicative_identity),add(multiplicative_identity,X_17)) )],[refute_0_370,refute_0_371]) ).

cnf(refute_0_373,plain,
    ( X_17 != multiply(X_17,add(multiplicative_identity,X_17))
    | add(multiplicative_identity,X_17) != add(X_17,multiplicative_identity)
    | X_17 = multiply(X_17,add(X_17,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_17,multiply(X_17,add(multiplicative_identity,X_17))) ),[1,1],$fot(add(X_17,multiplicative_identity))]]) ).

cnf(refute_0_374,plain,
    ( X_17 != multiply(X_17,add(multiplicative_identity,X_17))
    | X_17 = multiply(X_17,add(X_17,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_17),add(X_17,multiplicative_identity)) )],[refute_0_372,refute_0_373]) ).

cnf(refute_0_375,plain,
    X_17 = multiply(X_17,add(X_17,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(X_17,multiply(X_17,add(multiplicative_identity,X_17))) )],[refute_0_369,refute_0_374]) ).

cnf(refute_0_376,plain,
    multiply(X_57,additive_identity) = multiply(multiply(X_57,additive_identity),add(multiply(X_57,additive_identity),multiplicative_identity)),
    inference(subst,[],[refute_0_375:[bind(X_17,$fot(multiply(X_57,additive_identity)))]]) ).

cnf(refute_0_377,plain,
    add(X_16,X_15) = add(X_15,X_16),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_16)),bind(Y,$fot(X_15))]]) ).

cnf(refute_0_378,plain,
    ( add(X_16,X_15) != add(X_15,X_16)
    | add(X_15,X_16) = add(X_16,X_15) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_16,X_15))),bind(Y0,$fot(add(X_15,X_16)))]]) ).

cnf(refute_0_379,plain,
    add(X_15,X_16) = add(X_16,X_15),
    inference(resolve,[$cnf( $equal(add(X_16,X_15),add(X_15,X_16)) )],[refute_0_377,refute_0_378]) ).

cnf(refute_0_380,plain,
    ( add(X_15,X_16) != add(X_16,X_15)
    | add(multiply(X_15,additive_identity),X_16) != multiply(X_16,add(X_15,X_16))
    | add(multiply(X_15,additive_identity),X_16) = multiply(X_16,add(X_16,X_15)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_15,additive_identity),X_16),multiply(X_16,add(X_15,X_16))) ),[1,1],$fot(add(X_16,X_15))]]) ).

cnf(refute_0_381,plain,
    ( add(multiply(X_15,additive_identity),X_16) != multiply(X_16,add(X_15,X_16))
    | add(multiply(X_15,additive_identity),X_16) = multiply(X_16,add(X_16,X_15)) ),
    inference(resolve,[$cnf( $equal(add(X_15,X_16),add(X_16,X_15)) )],[refute_0_379,refute_0_380]) ).

cnf(refute_0_382,plain,
    add(multiply(X_15,additive_identity),X_16) = multiply(X_16,add(X_16,X_15)),
    inference(resolve,[$cnf( $equal(add(multiply(X_15,additive_identity),X_16),multiply(X_16,add(X_15,X_16))) )],[refute_0_346,refute_0_381]) ).

cnf(refute_0_383,plain,
    add(multiply(X_57,additive_identity),multiplicative_identity) = multiply(multiplicative_identity,add(multiplicative_identity,X_57)),
    inference(subst,[],[refute_0_382:[bind(X_15,$fot(X_57)),bind(X_16,$fot(multiplicative_identity))]]) ).

cnf(refute_0_384,plain,
    ( multiply(X_57,additive_identity) != multiply(multiply(X_57,additive_identity),add(multiply(X_57,additive_identity),multiplicative_identity))
    | add(multiply(X_57,additive_identity),multiplicative_identity) != multiply(multiplicative_identity,add(multiplicative_identity,X_57))
    | multiply(X_57,additive_identity) = multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_57,additive_identity),multiply(multiply(X_57,additive_identity),add(multiply(X_57,additive_identity),multiplicative_identity))) ),[1,1],$fot(multiply(multiplicative_identity,add(multiplicative_identity,X_57)))]]) ).

cnf(refute_0_385,plain,
    ( multiply(X_57,additive_identity) != multiply(multiply(X_57,additive_identity),add(multiply(X_57,additive_identity),multiplicative_identity))
    | multiply(X_57,additive_identity) = multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_57,additive_identity),multiplicative_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))) )],[refute_0_383,refute_0_384]) ).

cnf(refute_0_386,plain,
    multiply(X_57,additive_identity) = multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))),
    inference(resolve,[$cnf( $equal(multiply(X_57,additive_identity),multiply(multiply(X_57,additive_identity),add(multiply(X_57,additive_identity),multiplicative_identity))) )],[refute_0_376,refute_0_385]) ).

cnf(refute_0_387,plain,
    add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),add(X_11,multiply(X_47,additive_identity))),
    inference(subst,[],[refute_0_114:[bind(X_12,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_388,plain,
    add(X_11,multiply(X_47,additive_identity)) = multiply(X_11,add(X_11,X_47)),
    inference(subst,[],[refute_0_312:[bind(X_32,$fot(X_11)),bind(X_33,$fot(X_47))]]) ).

cnf(refute_0_389,plain,
    ( add(X_11,multiply(X_47,additive_identity)) != multiply(X_11,add(X_11,X_47))
    | add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),add(X_11,multiply(X_47,additive_identity)))
    | add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),add(X_11,multiply(X_47,additive_identity)))) ),[1,1],$fot(multiply(X_11,add(X_11,X_47)))]]) ).

cnf(refute_0_390,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),add(X_11,multiply(X_47,additive_identity)))
    | add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) ),
    inference(resolve,[$cnf( $equal(add(X_11,multiply(X_47,additive_identity)),multiply(X_11,add(X_11,X_47))) )],[refute_0_388,refute_0_389]) ).

cnf(refute_0_391,plain,
    add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),add(X_11,multiply(X_47,additive_identity)))) )],[refute_0_387,refute_0_390]) ).

cnf(refute_0_392,plain,
    add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),add(X_10,multiply(X_47,additive_identity))),
    inference(subst,[],[refute_0_182:[bind(X_12,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_393,plain,
    add(X_10,multiply(X_47,additive_identity)) = multiply(X_10,add(X_10,X_47)),
    inference(subst,[],[refute_0_312:[bind(X_32,$fot(X_10)),bind(X_33,$fot(X_47))]]) ).

cnf(refute_0_394,plain,
    ( add(X_10,multiply(X_47,additive_identity)) != multiply(X_10,add(X_10,X_47))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),add(X_10,multiply(X_47,additive_identity)))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),add(X_10,multiply(X_47,additive_identity)))) ),[1,1],$fot(multiply(X_10,add(X_10,X_47)))]]) ).

cnf(refute_0_395,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),add(X_10,multiply(X_47,additive_identity)))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) ),
    inference(resolve,[$cnf( $equal(add(X_10,multiply(X_47,additive_identity)),multiply(X_10,add(X_10,X_47))) )],[refute_0_393,refute_0_394]) ).

cnf(refute_0_396,plain,
    add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),add(X_10,multiply(X_47,additive_identity)))) )],[refute_0_392,refute_0_395]) ).

cnf(refute_0_397,plain,
    multiply(add(X_10,X_47),additive_identity) = multiply(additive_identity,add(X_10,X_47)),
    inference(subst,[],[refute_0_44:[bind(X,$fot(additive_identity)),bind(Y,$fot(add(X_10,X_47)))]]) ).

cnf(refute_0_398,plain,
    ( multiply(add(X,Y),Z) != add(multiply(X,Z),multiply(Y,Z))
    | add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(add(X,Y),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(Y,Z))))]]) ).

cnf(refute_0_399,plain,
    add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z),
    inference(resolve,[$cnf( $equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))) )],[distributivity3,refute_0_398]) ).

cnf(refute_0_400,plain,
    add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(add(X_10,X_47),additive_identity),
    inference(subst,[],[refute_0_399:[bind(X,$fot(X_10)),bind(Y,$fot(X_47)),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_401,plain,
    ( multiply(add(X_10,X_47),additive_identity) != multiply(additive_identity,add(X_10,X_47))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(add(X_10,X_47),additive_identity)
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_10,X_47)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)))),bind(Y0,$fot(multiply(add(X_10,X_47),additive_identity))),bind(Z0,$fot(multiply(additive_identity,add(X_10,X_47))))]]) ).

cnf(refute_0_402,plain,
    ( multiply(add(X_10,X_47),additive_identity) != multiply(additive_identity,add(X_10,X_47))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_10,X_47)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(add(X_10,X_47),additive_identity)) )],[refute_0_400,refute_0_401]) ).

cnf(refute_0_403,plain,
    add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_10,X_47)),
    inference(resolve,[$cnf( $equal(multiply(add(X_10,X_47),additive_identity),multiply(additive_identity,add(X_10,X_47))) )],[refute_0_397,refute_0_402]) ).

cnf(refute_0_404,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))
    | add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(additive_identity,add(X_10,X_47))
    | multiply(additive_identity,add(X_10,X_47)) = multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))) ),[0],$fot(multiply(additive_identity,add(X_10,X_47)))]]) ).

cnf(refute_0_405,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))
    | multiply(additive_identity,add(X_10,X_47)) = multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(additive_identity,add(X_10,X_47))) )],[refute_0_403,refute_0_404]) ).

cnf(refute_0_406,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))
    | multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) = add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)))),bind(Y0,$fot(multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))))]]) ).

cnf(refute_0_407,plain,
    multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) = add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))) )],[refute_0_391,refute_0_406]) ).

cnf(refute_0_408,plain,
    multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) = add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)),
    inference(subst,[],[refute_0_407:[bind(X_11,$fot(X_10))]]) ).

cnf(refute_0_409,plain,
    ( multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))) != add(multiply(additive_identity,X_10),multiply(X_47,additive_identity))
    | multiply(additive_identity,add(X_10,X_47)) != multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))
    | multiply(additive_identity,add(X_10,X_47)) = add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,X_47)),multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))) ),[1],$fot(add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_410,plain,
    ( multiply(additive_identity,add(X_10,X_47)) != multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))
    | multiply(additive_identity,add(X_10,X_47)) = add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47))),add(multiply(additive_identity,X_10),multiply(X_47,additive_identity))) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))
    | multiply(additive_identity,add(X_10,X_47)) = add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_47)),multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))) )],[refute_0_405,refute_0_410]) ).

cnf(refute_0_412,plain,
    multiply(additive_identity,add(X_10,X_47)) = add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),multiply(X_10,add(X_10,X_47)))) )],[refute_0_396,refute_0_411]) ).

cnf(refute_0_413,plain,
    ( multiply(additive_identity,add(X_10,X_47)) != add(multiply(additive_identity,X_10),multiply(X_47,additive_identity))
    | add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_10,X_47)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(additive_identity,add(X_10,X_47)))),bind(Y0,$fot(add(multiply(additive_identity,X_10),multiply(X_47,additive_identity))))]]) ).

cnf(refute_0_414,plain,
    add(multiply(additive_identity,X_10),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_10,X_47)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_47)),add(multiply(additive_identity,X_10),multiply(X_47,additive_identity))) )],[refute_0_412,refute_0_413]) ).

cnf(refute_0_415,plain,
    add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) = multiply(additive_identity,add(X_11,X_47)),
    inference(subst,[],[refute_0_414:[bind(X_10,$fot(X_11))]]) ).

cnf(refute_0_416,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))
    | add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(additive_identity,add(X_11,X_47))
    | multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))) ),[0],$fot(multiply(additive_identity,add(X_11,X_47)))]]) ).

cnf(refute_0_417,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)) != multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))
    | multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(additive_identity,add(X_11,X_47))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_47,additive_identity)),multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))) )],[refute_0_391,refute_0_417]) ).

cnf(refute_0_419,plain,
    ( multiply(additive_identity,add(X_11,X_47)) != multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))
    | multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) = multiply(additive_identity,add(X_11,X_47)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(additive_identity,add(X_11,X_47)))),bind(Y0,$fot(multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))))]]) ).

cnf(refute_0_420,plain,
    multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47))) = multiply(additive_identity,add(X_11,X_47)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,X_47)),multiply(multiply(X_47,additive_identity),multiply(X_11,add(X_11,X_47)))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))) = multiply(additive_identity,add(multiplicative_identity,X_57)),
    inference(subst,[],[refute_0_420:[bind(X_11,$fot(multiplicative_identity)),bind(X_47,$fot(X_57))]]) ).

cnf(refute_0_422,plain,
    ( multiply(X_57,additive_identity) != multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57)))
    | multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))) != multiply(additive_identity,add(multiplicative_identity,X_57))
    | multiply(X_57,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_57)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_57,additive_identity),multiply(additive_identity,add(multiplicative_identity,X_57))) ),[0],$fot(multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))))]]) ).

cnf(refute_0_423,plain,
    ( multiply(X_57,additive_identity) != multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57)))
    | multiply(X_57,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_57)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57))),multiply(additive_identity,add(multiplicative_identity,X_57))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    multiply(X_57,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_57)),
    inference(resolve,[$cnf( $equal(multiply(X_57,additive_identity),multiply(multiply(X_57,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_57)))) )],[refute_0_386,refute_0_423]) ).

cnf(refute_0_425,plain,
    add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) = multiply(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37)))),
    inference(subst,[],[distributivity1:[bind(X,$fot(add(X_37,multiplicative_identity))),bind(Z,$fot(inverse(multiply(additive_identity,X_37))))]]) ).

cnf(refute_0_426,plain,
    add(inverse(X_26),multiply(X_26,add(X_26,multiplicative_identity))) = add(add(X_26,multiplicative_identity),inverse(X_26)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(X_26)),bind(X_11,$fot(add(X_26,multiplicative_identity)))]]) ).

cnf(refute_0_427,plain,
    X_26 = multiply(X_26,add(X_26,multiplicative_identity)),
    inference(subst,[],[refute_0_375:[bind(X_17,$fot(X_26))]]) ).

cnf(refute_0_428,plain,
    ( X_26 != multiply(X_26,add(X_26,multiplicative_identity))
    | multiply(X_26,add(X_26,multiplicative_identity)) = X_26 ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_26)),bind(Y0,$fot(multiply(X_26,add(X_26,multiplicative_identity))))]]) ).

cnf(refute_0_429,plain,
    multiply(X_26,add(X_26,multiplicative_identity)) = X_26,
    inference(resolve,[$cnf( $equal(X_26,multiply(X_26,add(X_26,multiplicative_identity))) )],[refute_0_427,refute_0_428]) ).

cnf(refute_0_430,plain,
    ( multiply(X_26,add(X_26,multiplicative_identity)) != X_26
    | add(inverse(X_26),multiply(X_26,add(X_26,multiplicative_identity))) != add(add(X_26,multiplicative_identity),inverse(X_26))
    | add(inverse(X_26),X_26) = add(add(X_26,multiplicative_identity),inverse(X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_26),multiply(X_26,add(X_26,multiplicative_identity))),add(add(X_26,multiplicative_identity),inverse(X_26))) ),[0,1],$fot(X_26)]]) ).

cnf(refute_0_431,plain,
    ( add(inverse(X_26),multiply(X_26,add(X_26,multiplicative_identity))) != add(add(X_26,multiplicative_identity),inverse(X_26))
    | add(inverse(X_26),X_26) = add(add(X_26,multiplicative_identity),inverse(X_26)) ),
    inference(resolve,[$cnf( $equal(multiply(X_26,add(X_26,multiplicative_identity)),X_26) )],[refute_0_429,refute_0_430]) ).

cnf(refute_0_432,plain,
    add(inverse(X_26),X_26) = add(add(X_26,multiplicative_identity),inverse(X_26)),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),multiply(X_26,add(X_26,multiplicative_identity))),add(add(X_26,multiplicative_identity),inverse(X_26))) )],[refute_0_426,refute_0_431]) ).

cnf(refute_0_433,plain,
    add(X_26,inverse(X_26)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_26))]]) ).

cnf(refute_0_434,plain,
    add(inverse(X_26),X_26) = add(X_26,inverse(X_26)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(X_26)),bind(Y,$fot(inverse(X_26)))]]) ).

cnf(refute_0_435,plain,
    ( add(X_26,inverse(X_26)) != multiplicative_identity
    | add(inverse(X_26),X_26) != add(X_26,inverse(X_26))
    | add(inverse(X_26),X_26) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(X_26),X_26))),bind(Y0,$fot(add(X_26,inverse(X_26)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_436,plain,
    ( add(X_26,inverse(X_26)) != multiplicative_identity
    | add(inverse(X_26),X_26) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),X_26),add(X_26,inverse(X_26))) )],[refute_0_434,refute_0_435]) ).

cnf(refute_0_437,plain,
    add(inverse(X_26),X_26) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(X_26,inverse(X_26)),multiplicative_identity) )],[refute_0_433,refute_0_436]) ).

cnf(refute_0_438,plain,
    ( add(inverse(X_26),X_26) != add(add(X_26,multiplicative_identity),inverse(X_26))
    | add(inverse(X_26),X_26) != multiplicative_identity
    | multiplicative_identity = add(add(X_26,multiplicative_identity),inverse(X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_26),X_26),add(add(X_26,multiplicative_identity),inverse(X_26))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_439,plain,
    ( add(inverse(X_26),X_26) != add(add(X_26,multiplicative_identity),inverse(X_26))
    | multiplicative_identity = add(add(X_26,multiplicative_identity),inverse(X_26)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),X_26),multiplicative_identity) )],[refute_0_437,refute_0_438]) ).

cnf(refute_0_440,plain,
    add(add(X_26,multiplicative_identity),inverse(X_26)) = add(inverse(X_26),add(X_26,multiplicative_identity)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(X_26))),bind(Y,$fot(add(X_26,multiplicative_identity)))]]) ).

cnf(refute_0_441,plain,
    ( add(add(X_26,multiplicative_identity),inverse(X_26)) != add(inverse(X_26),add(X_26,multiplicative_identity))
    | multiplicative_identity != add(add(X_26,multiplicative_identity),inverse(X_26))
    | multiplicative_identity = add(inverse(X_26),add(X_26,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_26,multiplicative_identity),inverse(X_26))) ),[1],$fot(add(inverse(X_26),add(X_26,multiplicative_identity)))]]) ).

cnf(refute_0_442,plain,
    ( multiplicative_identity != add(add(X_26,multiplicative_identity),inverse(X_26))
    | multiplicative_identity = add(inverse(X_26),add(X_26,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(add(X_26,multiplicative_identity),inverse(X_26)),add(inverse(X_26),add(X_26,multiplicative_identity))) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    ( add(inverse(X_26),X_26) != add(add(X_26,multiplicative_identity),inverse(X_26))
    | multiplicative_identity = add(inverse(X_26),add(X_26,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_26,multiplicative_identity),inverse(X_26))) )],[refute_0_439,refute_0_442]) ).

cnf(refute_0_444,plain,
    multiplicative_identity = add(inverse(X_26),add(X_26,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),X_26),add(add(X_26,multiplicative_identity),inverse(X_26))) )],[refute_0_432,refute_0_443]) ).

cnf(refute_0_445,plain,
    multiplicative_identity = add(inverse(multiply(additive_identity,X_11)),add(multiply(additive_identity,X_11),multiplicative_identity)),
    inference(subst,[],[refute_0_444:[bind(X_26,$fot(multiply(additive_identity,X_11)))]]) ).

cnf(refute_0_446,plain,
    add(multiply(additive_identity,X_11),multiplicative_identity) = multiply(multiplicative_identity,add(X_11,multiplicative_identity)),
    inference(subst,[],[refute_0_114:[bind(X_12,$fot(multiplicative_identity))]]) ).

cnf(refute_0_447,plain,
    ( add(multiply(additive_identity,X_11),multiplicative_identity) != multiply(multiplicative_identity,add(X_11,multiplicative_identity))
    | multiplicative_identity != add(inverse(multiply(additive_identity,X_11)),add(multiply(additive_identity,X_11),multiplicative_identity))
    | multiplicative_identity = add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(additive_identity,X_11)),add(multiply(additive_identity,X_11),multiplicative_identity))) ),[1,1],$fot(multiply(multiplicative_identity,add(X_11,multiplicative_identity)))]]) ).

cnf(refute_0_448,plain,
    ( multiplicative_identity != add(inverse(multiply(additive_identity,X_11)),add(multiply(additive_identity,X_11),multiplicative_identity))
    | multiplicative_identity = add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiplicative_identity),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) )],[refute_0_446,refute_0_447]) ).

cnf(refute_0_449,plain,
    multiplicative_identity = add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(additive_identity,X_11)),add(multiply(additive_identity,X_11),multiplicative_identity))) )],[refute_0_445,refute_0_448]) ).

cnf(refute_0_450,plain,
    add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)) = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))),
    inference(subst,[],[refute_0_10:[bind(X,$fot(add(X_11,multiplicative_identity))),bind(Y,$fot(inverse(multiply(additive_identity,X_11))))]]) ).

cnf(refute_0_451,plain,
    multiply(multiplicative_identity,add(X_11,multiplicative_identity)) = add(X_11,multiplicative_identity),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,multiplicative_identity)))]]) ).

cnf(refute_0_452,plain,
    add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))))]]) ).

cnf(refute_0_453,plain,
    ( multiply(multiplicative_identity,add(X_11,multiplicative_identity)) != add(X_11,multiplicative_identity)
    | add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) != add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))
    | add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))) ),[1,1],$fot(add(X_11,multiplicative_identity))]]) ).

cnf(refute_0_454,plain,
    ( multiply(multiplicative_identity,add(X_11,multiplicative_identity)) != add(X_11,multiplicative_identity)
    | add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))) )],[refute_0_452,refute_0_453]) ).

cnf(refute_0_455,plain,
    add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,multiplicative_identity)),add(X_11,multiplicative_identity)) )],[refute_0_451,refute_0_454]) ).

cnf(refute_0_456,plain,
    ( add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) != add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity))
    | add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)) != add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))
    | add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))))),bind(Y0,$fot(add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)))),bind(Z0,$fot(add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))))]]) ).

cnf(refute_0_457,plain,
    ( add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)) != add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))
    | add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity))) )],[refute_0_455,refute_0_456]) ).

cnf(refute_0_458,plain,
    add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_11)),add(X_11,multiplicative_identity)),add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))) )],[refute_0_450,refute_0_457]) ).

cnf(refute_0_459,plain,
    ( add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))) != add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))
    | multiplicative_identity != add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))
    | multiplicative_identity = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))) ),[1],$fot(add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))))]]) ).

cnf(refute_0_460,plain,
    ( multiplicative_identity != add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))
    | multiplicative_identity = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity))),add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11)))) )],[refute_0_458,refute_0_459]) ).

cnf(refute_0_461,plain,
    multiplicative_identity = add(add(X_11,multiplicative_identity),inverse(multiply(additive_identity,X_11))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(additive_identity,X_11)),multiply(multiplicative_identity,add(X_11,multiplicative_identity)))) )],[refute_0_449,refute_0_460]) ).

cnf(refute_0_462,plain,
    multiplicative_identity = add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),
    inference(subst,[],[refute_0_461:[bind(X_11,$fot(X_37))]]) ).

cnf(refute_0_463,plain,
    ( multiplicative_identity != add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))
    | add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))))]]) ).

cnf(refute_0_464,plain,
    add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))) )],[refute_0_462,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != multiply(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37))))
    | add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))) != multiplicative_identity
    | add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) = multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))),multiply(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37))))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_466,plain,
    ( add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != multiply(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37))))
    | add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) = multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) ),
    inference(resolve,[$cnf( $equal(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),multiplicative_identity) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) = multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))),
    inference(resolve,[$cnf( $equal(add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))),multiply(add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37))))) )],[refute_0_425,refute_0_466]) ).

cnf(refute_0_468,plain,
    add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) = add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),
    inference(subst,[],[refute_0_10:[bind(X,$fot(inverse(multiply(additive_identity,X_37)))),bind(Y,$fot(multiply(add(X_37,multiplicative_identity),Y)))]]) ).

cnf(refute_0_469,plain,
    ( add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))
    | add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))),multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))) ),[0],$fot(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)))]]) ).

cnf(refute_0_470,plain,
    ( add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) ),
    inference(resolve,[$cnf( $equal(add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))),add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y))) )],[refute_0_468,refute_0_469]) ).

cnf(refute_0_471,plain,
    multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) = add(Y,inverse(multiply(additive_identity,X_37))),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,inverse(multiply(additive_identity,X_37)))))]]) ).

cnf(refute_0_472,plain,
    ( multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(Y,inverse(multiply(additive_identity,X_37))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))) ),[1],$fot(add(Y,inverse(multiply(additive_identity,X_37))))]]) ).

cnf(refute_0_473,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(Y,inverse(multiply(additive_identity,X_37))) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37)))),add(Y,inverse(multiply(additive_identity,X_37)))) )],[refute_0_471,refute_0_472]) ).

cnf(refute_0_474,plain,
    ( add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))) != multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(Y,inverse(multiply(additive_identity,X_37))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))) )],[refute_0_470,refute_0_473]) ).

cnf(refute_0_475,plain,
    add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(Y,inverse(multiply(additive_identity,X_37))),
    inference(resolve,[$cnf( $equal(add(multiply(add(X_37,multiplicative_identity),Y),inverse(multiply(additive_identity,X_37))),multiply(multiplicative_identity,add(Y,inverse(multiply(additive_identity,X_37))))) )],[refute_0_467,refute_0_474]) ).

cnf(refute_0_476,plain,
    multiply(multiplicative_identity,Y) = Y,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(Y))]]) ).

cnf(refute_0_477,plain,
    add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62)))),
    inference(subst,[],[refute_0_114:[bind(X_11,$fot(add(multiplicative_identity,X_62))),bind(X_12,$fot(inverse(multiply(additive_identity,X_62))))]]) ).

cnf(refute_0_478,plain,
    add(multiplicative_identity,X_37) = add(X_37,multiplicative_identity),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiplicative_identity)),bind(Y,$fot(X_37))]]) ).

cnf(refute_0_479,plain,
    ( add(multiplicative_identity,X_37) != add(X_37,multiplicative_identity)
    | add(X_37,multiplicative_identity) = add(multiplicative_identity,X_37) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiplicative_identity,X_37))),bind(Y0,$fot(add(X_37,multiplicative_identity)))]]) ).

cnf(refute_0_480,plain,
    add(X_37,multiplicative_identity) = add(multiplicative_identity,X_37),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_37),add(X_37,multiplicative_identity)) )],[refute_0_478,refute_0_479]) ).

cnf(refute_0_481,plain,
    ( add(X_37,multiplicative_identity) != add(multiplicative_identity,X_37)
    | multiplicative_identity != add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))
    | multiplicative_identity = add(add(multiplicative_identity,X_37),inverse(multiply(additive_identity,X_37))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))) ),[1,0],$fot(add(multiplicative_identity,X_37))]]) ).

cnf(refute_0_482,plain,
    ( multiplicative_identity != add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))
    | multiplicative_identity = add(add(multiplicative_identity,X_37),inverse(multiply(additive_identity,X_37))) ),
    inference(resolve,[$cnf( $equal(add(X_37,multiplicative_identity),add(multiplicative_identity,X_37)) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    multiplicative_identity = add(add(multiplicative_identity,X_37),inverse(multiply(additive_identity,X_37))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_37,multiplicative_identity),inverse(multiply(additive_identity,X_37)))) )],[refute_0_462,refute_0_482]) ).

cnf(refute_0_484,plain,
    multiplicative_identity = add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))),
    inference(subst,[],[refute_0_483:[bind(X_37,$fot(X_62))]]) ).

cnf(refute_0_485,plain,
    ( multiplicative_identity != add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62)))
    | add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62)))))]]) ).

cnf(refute_0_486,plain,
    add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62)))) )],[refute_0_484,refute_0_485]) ).

cnf(refute_0_487,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))
    | add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))) != multiplicative_identity
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_488,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))),multiplicative_identity) )],[refute_0_486,refute_0_487]) ).

cnf(refute_0_489,plain,
    add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))) )],[refute_0_477,refute_0_488]) ).

cnf(refute_0_490,plain,
    multiply(multiplicative_identity,add(X_62,multiplicative_identity)) = add(X_62,multiplicative_identity),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_62,multiplicative_identity)))]]) ).

cnf(refute_0_491,plain,
    add(X_46,multiply(X_47,additive_identity)) = multiply(X_46,add(X_46,X_47)),
    inference(subst,[],[refute_0_312:[bind(X_32,$fot(X_46)),bind(X_33,$fot(X_47))]]) ).

cnf(refute_0_492,plain,
    add(X_47,X_46) = add(X_46,X_47),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_47)),bind(Y,$fot(X_46))]]) ).

cnf(refute_0_493,plain,
    ( add(X_47,X_46) != add(X_46,X_47)
    | add(X_46,X_47) = add(X_47,X_46) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_47,X_46))),bind(Y0,$fot(add(X_46,X_47)))]]) ).

cnf(refute_0_494,plain,
    add(X_46,X_47) = add(X_47,X_46),
    inference(resolve,[$cnf( $equal(add(X_47,X_46),add(X_46,X_47)) )],[refute_0_492,refute_0_493]) ).

cnf(refute_0_495,plain,
    ( add(X_46,X_47) != add(X_47,X_46)
    | add(X_46,multiply(X_47,additive_identity)) != multiply(X_46,add(X_46,X_47))
    | add(X_46,multiply(X_47,additive_identity)) = multiply(X_46,add(X_47,X_46)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_46,multiply(X_47,additive_identity)),multiply(X_46,add(X_46,X_47))) ),[1,1],$fot(add(X_47,X_46))]]) ).

cnf(refute_0_496,plain,
    ( add(X_46,multiply(X_47,additive_identity)) != multiply(X_46,add(X_46,X_47))
    | add(X_46,multiply(X_47,additive_identity)) = multiply(X_46,add(X_47,X_46)) ),
    inference(resolve,[$cnf( $equal(add(X_46,X_47),add(X_47,X_46)) )],[refute_0_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    add(X_46,multiply(X_47,additive_identity)) = multiply(X_46,add(X_47,X_46)),
    inference(resolve,[$cnf( $equal(add(X_46,multiply(X_47,additive_identity)),multiply(X_46,add(X_46,X_47))) )],[refute_0_491,refute_0_496]) ).

cnf(refute_0_498,plain,
    add(multiplicative_identity,multiply(X_62,additive_identity)) = multiply(multiplicative_identity,add(X_62,multiplicative_identity)),
    inference(subst,[],[refute_0_497:[bind(X_46,$fot(multiplicative_identity)),bind(X_47,$fot(X_62))]]) ).

cnf(refute_0_499,plain,
    ( multiply(multiplicative_identity,add(X_62,multiplicative_identity)) != add(X_62,multiplicative_identity)
    | add(multiplicative_identity,multiply(X_62,additive_identity)) != multiply(multiplicative_identity,add(X_62,multiplicative_identity))
    | add(multiplicative_identity,multiply(X_62,additive_identity)) = add(X_62,multiplicative_identity) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiplicative_identity,multiply(X_62,additive_identity)))),bind(Y0,$fot(multiply(multiplicative_identity,add(X_62,multiplicative_identity)))),bind(Z0,$fot(add(X_62,multiplicative_identity)))]]) ).

cnf(refute_0_500,plain,
    ( multiply(multiplicative_identity,add(X_62,multiplicative_identity)) != add(X_62,multiplicative_identity)
    | add(multiplicative_identity,multiply(X_62,additive_identity)) = add(X_62,multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_62,additive_identity)),multiply(multiplicative_identity,add(X_62,multiplicative_identity))) )],[refute_0_498,refute_0_499]) ).

cnf(refute_0_501,plain,
    add(multiplicative_identity,multiply(X_62,additive_identity)) = add(X_62,multiplicative_identity),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_62,multiplicative_identity)),add(X_62,multiplicative_identity)) )],[refute_0_490,refute_0_500]) ).

cnf(refute_0_502,plain,
    ( multiply(X_57,additive_identity) != multiply(additive_identity,add(multiplicative_identity,X_57))
    | multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(X_57,additive_identity) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X_57,additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(multiplicative_identity,X_57))))]]) ).

cnf(refute_0_503,plain,
    multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(X_57,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_57,additive_identity),multiply(additive_identity,add(multiplicative_identity,X_57))) )],[refute_0_424,refute_0_502]) ).

cnf(refute_0_504,plain,
    multiply(additive_identity,add(multiplicative_identity,X_62)) = multiply(X_62,additive_identity),
    inference(subst,[],[refute_0_503:[bind(X_57,$fot(X_62))]]) ).

cnf(refute_0_505,plain,
    add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))),
    introduced(tautology,[refl,[$fot(add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))))]]) ).

cnf(refute_0_506,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_62)) != multiply(X_62,additive_identity)
    | add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) != add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))),add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62)))) ),[1,1],$fot(multiply(X_62,additive_identity))]]) ).

cnf(refute_0_507,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_62)) != multiply(X_62,additive_identity)
    | add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))),add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_505,refute_0_506]) ).

cnf(refute_0_508,plain,
    add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_62)),multiply(X_62,additive_identity)) )],[refute_0_504,refute_0_507]) ).

cnf(refute_0_509,plain,
    add(X,multiply(X_15,additive_identity)) = add(multiply(X_15,additive_identity),X),
    inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(X_15,additive_identity)))]]) ).

cnf(refute_0_510,plain,
    add(multiply(X_15,additive_identity),X) = multiply(X,add(X_15,X)),
    inference(subst,[],[refute_0_182:[bind(X_10,$fot(X_15)),bind(X_12,$fot(X))]]) ).

cnf(refute_0_511,plain,
    ( add(X,multiply(X_15,additive_identity)) != add(multiply(X_15,additive_identity),X)
    | add(multiply(X_15,additive_identity),X) != multiply(X,add(X_15,X))
    | add(X,multiply(X_15,additive_identity)) = multiply(X,add(X_15,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(X_15,additive_identity)),multiply(X,add(X_15,X))) ),[0],$fot(add(multiply(X_15,additive_identity),X))]]) ).

cnf(refute_0_512,plain,
    ( add(X,multiply(X_15,additive_identity)) != add(multiply(X_15,additive_identity),X)
    | add(X,multiply(X_15,additive_identity)) = multiply(X,add(X_15,X)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_15,additive_identity),X),multiply(X,add(X_15,X))) )],[refute_0_510,refute_0_511]) ).

cnf(refute_0_513,plain,
    add(X,multiply(X_15,additive_identity)) = multiply(X,add(X_15,X)),
    inference(resolve,[$cnf( $equal(add(X,multiply(X_15,additive_identity)),add(multiply(X_15,additive_identity),X)) )],[refute_0_509,refute_0_512]) ).

cnf(refute_0_514,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62)))),
    inference(subst,[],[refute_0_513:[bind(X,$fot(inverse(multiply(additive_identity,X_62)))),bind(X_15,$fot(add(multiplicative_identity,X_62)))]]) ).

cnf(refute_0_515,plain,
    ( add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_516,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))),multiplicative_identity) )],[refute_0_486,refute_0_515]) ).

cnf(refute_0_517,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),multiply(inverse(multiply(additive_identity,X_62)),add(add(multiplicative_identity,X_62),inverse(multiply(additive_identity,X_62))))) )],[refute_0_514,refute_0_516]) ).

cnf(refute_0_518,plain,
    add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(multiply(additive_identity,X_62)))]]) ).

cnf(refute_0_519,plain,
    add(multiply(additive_identity,X_33),X_32) = multiply(X_32,add(X_32,X_33)),
    inference(subst,[],[refute_0_121:[bind(X_24,$fot(X_33)),bind(X_25,$fot(X_32))]]) ).

cnf(refute_0_520,plain,
    ( add(multiply(additive_identity,X_33),X_32) != multiply(X_32,add(X_32,X_33))
    | multiply(X_32,add(X_32,X_33)) = add(multiply(additive_identity,X_33),X_32) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(additive_identity,X_33),X_32))),bind(Y0,$fot(multiply(X_32,add(X_32,X_33))))]]) ).

cnf(refute_0_521,plain,
    multiply(X_32,add(X_32,X_33)) = add(multiply(additive_identity,X_33),X_32),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_33),X_32),multiply(X_32,add(X_32,X_33))) )],[refute_0_519,refute_0_520]) ).

cnf(refute_0_522,plain,
    ( multiply(X_32,add(X_32,X_33)) != add(multiply(additive_identity,X_33),X_32)
    | add(X_32,multiply(X_33,additive_identity)) != multiply(X_32,add(X_32,X_33))
    | add(X_32,multiply(X_33,additive_identity)) = add(multiply(additive_identity,X_33),X_32) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(X_32,add(X_32,X_33))) ),[1],$fot(add(multiply(additive_identity,X_33),X_32))]]) ).

cnf(refute_0_523,plain,
    ( add(X_32,multiply(X_33,additive_identity)) != multiply(X_32,add(X_32,X_33))
    | add(X_32,multiply(X_33,additive_identity)) = add(multiply(additive_identity,X_33),X_32) ),
    inference(resolve,[$cnf( $equal(multiply(X_32,add(X_32,X_33)),add(multiply(additive_identity,X_33),X_32)) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    add(X_32,multiply(X_33,additive_identity)) = add(multiply(additive_identity,X_33),X_32),
    inference(resolve,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),multiply(X_32,add(X_32,X_33))) )],[refute_0_312,refute_0_523]) ).

cnf(refute_0_525,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) = add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))),
    inference(subst,[],[refute_0_524:[bind(X_32,$fot(inverse(multiply(additive_identity,X_62)))),bind(X_33,$fot(X_62))]]) ).

cnf(refute_0_526,plain,
    ( add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) != add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62)))
    | add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)))),bind(Y0,$fot(add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_527,plain,
    ( add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)),add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62)))) )],[refute_0_525,refute_0_526]) ).

cnf(refute_0_528,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_62),inverse(multiply(additive_identity,X_62))),multiplicative_identity) )],[refute_0_518,refute_0_527]) ).

cnf(refute_0_529,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))]]) ).

cnf(refute_0_530,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_62)) != multiply(X_62,additive_identity)
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) ),[1,1],$fot(multiply(X_62,additive_identity))]]) ).

cnf(refute_0_531,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_62)) != multiply(X_62,additive_identity)
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_529,refute_0_530]) ).

cnf(refute_0_532,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_62)),multiply(X_62,additive_identity)) )],[refute_0_504,refute_0_531]) ).

cnf(refute_0_533,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Y0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_534,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity))) )],[refute_0_532,refute_0_533]) ).

cnf(refute_0_535,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(X_62,additive_identity)),multiplicative_identity) )],[refute_0_528,refute_0_534]) ).

cnf(refute_0_536,plain,
    add(multiply(Y,Y),X_49) = add(Y,multiply(X_49,X_49)),
    inference(subst,[],[refute_0_135:[bind(Z,$fot(X_49))]]) ).

cnf(refute_0_537,plain,
    ( add(multiply(Y,Y),X_49) != add(Y,multiply(X_49,X_49))
    | add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(multiply(Y,Y),multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) ),[1,1],$fot(add(Y,multiply(X_49,X_49)))]]) ).

cnf(refute_0_538,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))
    | add(multiply(Y,Y),multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_49),add(Y,multiply(X_49,X_49))) )],[refute_0_536,refute_0_537]) ).

cnf(refute_0_539,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_49))) )],[refute_0_168,refute_0_538]) ).

cnf(refute_0_540,plain,
    add(multiply(Y,Y),multiply(X_47,additive_identity)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)),
    inference(subst,[],[refute_0_312:[bind(X_32,$fot(multiply(Y,Y))),bind(X_33,$fot(X_47))]]) ).

cnf(refute_0_541,plain,
    add(multiply(Y,Y),multiply(X_47,additive_identity)) = add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),
    inference(subst,[],[refute_0_135:[bind(Z,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_542,plain,
    ( add(multiply(Y,Y),multiply(X_47,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(multiply(Y,Y),multiply(X_47,additive_identity)) != add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)))
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) ),[0],$fot(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))))]]) ).

cnf(refute_0_543,plain,
    ( add(multiply(Y,Y),multiply(X_47,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)))) )],[refute_0_541,refute_0_542]) ).

cnf(refute_0_544,plain,
    add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) )],[refute_0_540,refute_0_543]) ).

cnf(refute_0_545,plain,
    add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
    inference(subst,[],[refute_0_182:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).

cnf(refute_0_546,plain,
    add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),
    inference(subst,[],[refute_0_191:[bind(X,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_547,plain,
    ( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))
    | add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
    | multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_548,plain,
    ( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
    | multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))) )],[refute_0_546,refute_0_547]) ).

cnf(refute_0_549,plain,
    multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_545,refute_0_548]) ).

cnf(refute_0_550,plain,
    add(additive_identity,X_10) = X_10,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_551,plain,
    multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
    introduced(tautology,[refl,[$fot(multiply(additive_identity,add(additive_identity,X_10)))]]) ).

cnf(refute_0_552,plain,
    ( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
    | add(additive_identity,X_10) != X_10
    | multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) ),[1,1],$fot(X_10)]]) ).

cnf(refute_0_553,plain,
    ( add(additive_identity,X_10) != X_10
    | multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_551,refute_0_552]) ).

cnf(refute_0_554,plain,
    multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_10),X_10) )],[refute_0_550,refute_0_553]) ).

cnf(refute_0_555,plain,
    add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
    inference(subst,[],[refute_0_202:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_556,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),
    inference(subst,[],[refute_0_210:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_10))]]) ).

cnf(refute_0_557,plain,
    ( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))
    | add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
    | multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,add(additive_identity,X_10))))]]) ).

cnf(refute_0_558,plain,
    ( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
    | multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))) )],[refute_0_556,refute_0_557]) ).

cnf(refute_0_559,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_555,refute_0_558]) ).

cnf(refute_0_560,plain,
    ( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,add(additive_identity,X_10))
    | multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
    | multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_561,plain,
    ( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
    | multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_559,refute_0_560]) ).

cnf(refute_0_562,plain,
    multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,X_10)) )],[refute_0_554,refute_0_561]) ).

cnf(refute_0_563,plain,
    ( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
    | multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,X_10)
    | multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))]]) ).

cnf(refute_0_564,plain,
    ( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
    | multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,X_10)) )],[refute_0_562,refute_0_563]) ).

cnf(refute_0_565,plain,
    multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_549,refute_0_564]) ).

cnf(refute_0_566,plain,
    multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)) = multiply(additive_identity,X_47),
    inference(subst,[],[refute_0_565:[bind(X_10,$fot(X_47))]]) ).

cnf(refute_0_567,plain,
    add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),
    introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))))]]) ).

cnf(refute_0_568,plain,
    ( multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)) != multiply(additive_identity,X_47)
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) != add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)))
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = add(Y,multiply(additive_identity,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,X_47))]]) ).

cnf(refute_0_569,plain,
    ( multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)) != multiply(additive_identity,X_47)
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = add(Y,multiply(additive_identity,X_47)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)))) )],[refute_0_567,refute_0_568]) ).

cnf(refute_0_570,plain,
    add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) = add(Y,multiply(additive_identity,X_47)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity)),multiply(additive_identity,X_47)) )],[refute_0_566,refute_0_569]) ).

cnf(refute_0_571,plain,
    ( add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) != add(Y,multiply(additive_identity,X_47))
    | add(Y,multiply(additive_identity,X_47)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) ),[0],$fot(add(Y,multiply(additive_identity,X_47)))]]) ).

cnf(refute_0_572,plain,
    ( add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(additive_identity,X_47)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),add(Y,multiply(additive_identity,X_47))) )],[refute_0_570,refute_0_571]) ).

cnf(refute_0_573,plain,
    multiply(additive_identity,X_47) = multiply(X_47,additive_identity),
    inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_47))]]) ).

cnf(refute_0_574,plain,
    ( multiply(additive_identity,X_47) != multiply(X_47,additive_identity)
    | multiply(X_47,additive_identity) = multiply(additive_identity,X_47) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(additive_identity,X_47))),bind(Y0,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_575,plain,
    multiply(X_47,additive_identity) = multiply(additive_identity,X_47),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_47),multiply(X_47,additive_identity)) )],[refute_0_573,refute_0_574]) ).

cnf(refute_0_576,plain,
    ( multiply(X_47,additive_identity) != multiply(additive_identity,X_47)
    | add(X_46,multiply(X_47,additive_identity)) != multiply(X_46,add(X_46,X_47))
    | add(X_46,multiply(additive_identity,X_47)) = multiply(X_46,add(X_46,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_46,multiply(X_47,additive_identity)),multiply(X_46,add(X_46,X_47))) ),[0,1],$fot(multiply(additive_identity,X_47))]]) ).

cnf(refute_0_577,plain,
    ( add(X_46,multiply(X_47,additive_identity)) != multiply(X_46,add(X_46,X_47))
    | add(X_46,multiply(additive_identity,X_47)) = multiply(X_46,add(X_46,X_47)) ),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),multiply(additive_identity,X_47)) )],[refute_0_575,refute_0_576]) ).

cnf(refute_0_578,plain,
    add(X_46,multiply(additive_identity,X_47)) = multiply(X_46,add(X_46,X_47)),
    inference(resolve,[$cnf( $equal(add(X_46,multiply(X_47,additive_identity)),multiply(X_46,add(X_46,X_47))) )],[refute_0_491,refute_0_577]) ).

cnf(refute_0_579,plain,
    ( add(X_46,multiply(additive_identity,X_47)) != multiply(X_46,add(X_46,X_47))
    | multiply(X_46,add(X_46,X_47)) = add(X_46,multiply(additive_identity,X_47)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_46,multiply(additive_identity,X_47)))),bind(Y0,$fot(multiply(X_46,add(X_46,X_47))))]]) ).

cnf(refute_0_580,plain,
    multiply(X_46,add(X_46,X_47)) = add(X_46,multiply(additive_identity,X_47)),
    inference(resolve,[$cnf( $equal(add(X_46,multiply(additive_identity,X_47)),multiply(X_46,add(X_46,X_47))) )],[refute_0_578,refute_0_579]) ).

cnf(refute_0_581,plain,
    multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) = add(multiply(Y,Y),multiply(additive_identity,X_47)),
    inference(subst,[],[refute_0_580:[bind(X_46,$fot(multiply(Y,Y)))]]) ).

cnf(refute_0_582,plain,
    ( multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)) != add(multiply(Y,Y),multiply(additive_identity,X_47))
    | add(Y,multiply(additive_identity,X_47)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(additive_identity,X_47)) = add(multiply(Y,Y),multiply(additive_identity,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_47)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) ),[1],$fot(add(multiply(Y,Y),multiply(additive_identity,X_47)))]]) ).

cnf(refute_0_583,plain,
    ( add(Y,multiply(additive_identity,X_47)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(additive_identity,X_47)) = add(multiply(Y,Y),multiply(additive_identity,X_47)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(multiply(Y,Y),X_47)),add(multiply(Y,Y),multiply(additive_identity,X_47))) )],[refute_0_581,refute_0_582]) ).

cnf(refute_0_584,plain,
    ( add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(Y,multiply(additive_identity,X_47)) = add(multiply(Y,Y),multiply(additive_identity,X_47)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_47)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) )],[refute_0_572,refute_0_583]) ).

cnf(refute_0_585,plain,
    add(Y,multiply(additive_identity,X_47)) = add(multiply(Y,Y),multiply(additive_identity,X_47)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_47,additive_identity),multiply(X_47,additive_identity))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) )],[refute_0_544,refute_0_584]) ).

cnf(refute_0_586,plain,
    ( add(Y,multiply(additive_identity,X_47)) != add(multiply(Y,Y),multiply(additive_identity,X_47))
    | add(multiply(Y,Y),multiply(additive_identity,X_47)) = add(Y,multiply(additive_identity,X_47)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(Y,multiply(additive_identity,X_47)))),bind(Y0,$fot(add(multiply(Y,Y),multiply(additive_identity,X_47))))]]) ).

cnf(refute_0_587,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_47)) = add(Y,multiply(additive_identity,X_47)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_47)),add(multiply(Y,Y),multiply(additive_identity,X_47))) )],[refute_0_585,refute_0_586]) ).

cnf(refute_0_588,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_49)) = add(Y,multiply(additive_identity,X_49)),
    inference(subst,[],[refute_0_587:[bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_589,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))
    | add(multiply(Y,Y),multiply(additive_identity,X_49)) != add(Y,multiply(additive_identity,X_49))
    | add(Y,multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))) ),[0],$fot(add(Y,multiply(additive_identity,X_49)))]]) ).

cnf(refute_0_590,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))
    | add(Y,multiply(additive_identity,X_49)) = multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),add(Y,multiply(additive_identity,X_49))) )],[refute_0_588,refute_0_589]) ).

cnf(refute_0_591,plain,
    add(multiply(Y,Y),X_47) = add(Y,multiply(X_47,X_47)),
    inference(subst,[],[refute_0_135:[bind(Z,$fot(X_47))]]) ).

cnf(refute_0_592,plain,
    ( add(multiply(Y,Y),X_47) != add(Y,multiply(X_47,X_47))
    | add(multiply(Y,Y),multiply(X_47,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(multiply(Y,Y),multiply(X_47,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) ),[1,1],$fot(add(Y,multiply(X_47,X_47)))]]) ).

cnf(refute_0_593,plain,
    ( add(multiply(Y,Y),multiply(X_47,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))
    | add(multiply(Y,Y),multiply(X_47,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_47),add(Y,multiply(X_47,X_47))) )],[refute_0_591,refute_0_592]) ).

cnf(refute_0_594,plain,
    add(multiply(Y,Y),multiply(X_47,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47))),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_47))) )],[refute_0_540,refute_0_593]) ).

cnf(refute_0_595,plain,
    ( add(multiply(Y,Y),multiply(X_47,additive_identity)) != multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47)))
    | multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47))) = add(multiply(Y,Y),multiply(X_47,additive_identity)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(multiply(Y,Y),multiply(X_47,additive_identity)))),bind(Y0,$fot(multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47)))))]]) ).

cnf(refute_0_596,plain,
    multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47))) = add(multiply(Y,Y),multiply(X_47,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_47,additive_identity)),multiply(multiply(Y,Y),add(Y,multiply(X_47,X_47)))) )],[refute_0_594,refute_0_595]) ).

cnf(refute_0_597,plain,
    multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) = add(multiply(Y,Y),multiply(X_49,additive_identity)),
    inference(subst,[],[refute_0_596:[bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_598,plain,
    ( multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))) != add(multiply(Y,Y),multiply(X_49,additive_identity))
    | add(Y,multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(Y,Y),multiply(X_49,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))) ),[1],$fot(add(multiply(Y,Y),multiply(X_49,additive_identity)))]]) ).

cnf(refute_0_599,plain,
    ( add(Y,multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(Y,Y),multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49))),add(multiply(Y,Y),multiply(X_49,additive_identity))) )],[refute_0_597,refute_0_598]) ).

cnf(refute_0_600,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_49)) != multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))
    | add(Y,multiply(additive_identity,X_49)) = add(multiply(Y,Y),multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))) )],[refute_0_590,refute_0_599]) ).

cnf(refute_0_601,plain,
    add(Y,multiply(additive_identity,X_49)) = add(multiply(Y,Y),multiply(X_49,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_49)),multiply(multiply(Y,Y),add(Y,multiply(X_49,X_49)))) )],[refute_0_539,refute_0_600]) ).

cnf(refute_0_602,plain,
    add(multiply(Y,Y),multiply(X_49,additive_identity)) = add(multiply(Y,Y),multiply(X_49,additive_identity)),
    introduced(tautology,[refl,[$fot(add(multiply(Y,Y),multiply(X_49,additive_identity)))]]) ).

cnf(refute_0_603,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),multiply(X_49,additive_identity)) != add(multiply(Y,Y),multiply(X_49,additive_identity))
    | add(multiply(Y,Y),multiply(X_49,additive_identity)) = add(Y,multiply(X_49,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_49,additive_identity)),add(multiply(Y,Y),multiply(X_49,additive_identity))) ),[1,0],$fot(Y)]]) ).

cnf(refute_0_604,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),multiply(X_49,additive_identity)) = add(Y,multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_49,additive_identity)),add(multiply(Y,Y),multiply(X_49,additive_identity))) )],[refute_0_602,refute_0_603]) ).

cnf(refute_0_605,plain,
    add(multiply(Y,Y),multiply(X_49,additive_identity)) = add(Y,multiply(X_49,additive_identity)),
    inference(resolve,[$cnf( $equal(multiply(Y,Y),Y) )],[refute_0_289,refute_0_604]) ).

cnf(refute_0_606,plain,
    ( add(Y,multiply(additive_identity,X_49)) != add(multiply(Y,Y),multiply(X_49,additive_identity))
    | add(multiply(Y,Y),multiply(X_49,additive_identity)) != add(Y,multiply(X_49,additive_identity))
    | add(Y,multiply(additive_identity,X_49)) = add(Y,multiply(X_49,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,multiply(additive_identity,X_49)),add(Y,multiply(X_49,additive_identity))) ),[0],$fot(add(multiply(Y,Y),multiply(X_49,additive_identity)))]]) ).

cnf(refute_0_607,plain,
    ( add(Y,multiply(additive_identity,X_49)) != add(multiply(Y,Y),multiply(X_49,additive_identity))
    | add(Y,multiply(additive_identity,X_49)) = add(Y,multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_49,additive_identity)),add(Y,multiply(X_49,additive_identity))) )],[refute_0_605,refute_0_606]) ).

cnf(refute_0_608,plain,
    add(Y,multiply(additive_identity,X_49)) = add(Y,multiply(X_49,additive_identity)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),add(multiply(Y,Y),multiply(X_49,additive_identity))) )],[refute_0_601,refute_0_607]) ).

cnf(refute_0_609,plain,
    ( add(Y,multiply(additive_identity,X_49)) != add(Y,multiply(X_49,additive_identity))
    | add(Y,multiply(X_49,additive_identity)) = add(Y,multiply(additive_identity,X_49)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(Y,multiply(additive_identity,X_49)))),bind(Y0,$fot(add(Y,multiply(X_49,additive_identity))))]]) ).

cnf(refute_0_610,plain,
    add(Y,multiply(X_49,additive_identity)) = add(Y,multiply(additive_identity,X_49)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_49)),add(Y,multiply(X_49,additive_identity))) )],[refute_0_608,refute_0_609]) ).

cnf(refute_0_611,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),
    inference(subst,[],[refute_0_610:[bind(Y,$fot(inverse(multiply(additive_identity,X_62)))),bind(X_49,$fot(add(multiplicative_identity,X_62)))]]) ).

cnf(refute_0_612,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)))),bind(Y0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_613,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_611,refute_0_612]) ).

cnf(refute_0_614,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),multiplicative_identity) )],[refute_0_535,refute_0_613]) ).

cnf(refute_0_615,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiplicative_identity
    | multiplicative_identity = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_616,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | multiplicative_identity = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),multiplicative_identity) )],[refute_0_614,refute_0_615]) ).

cnf(refute_0_617,plain,
    multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) = inverse(multiply(additive_identity,X_62)),
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(multiply(additive_identity,X_62))))]]) ).

cnf(refute_0_618,plain,
    ( multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) != inverse(multiply(additive_identity,X_62))
    | multiplicative_identity != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(additive_identity,X_62)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) ),[1],$fot(inverse(multiply(additive_identity,X_62)))]]) ).

cnf(refute_0_619,plain,
    ( multiplicative_identity != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(additive_identity,X_62)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity),inverse(multiply(additive_identity,X_62))) )],[refute_0_617,refute_0_618]) ).

cnf(refute_0_620,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(additive_identity,X_62)) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) )],[refute_0_616,refute_0_619]) ).

cnf(refute_0_621,plain,
    multiplicative_identity = inverse(multiply(additive_identity,X_62)),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) )],[refute_0_517,refute_0_620]) ).

cnf(refute_0_622,plain,
    ( multiplicative_identity != inverse(multiply(additive_identity,X_62))
    | inverse(multiply(additive_identity,X_62)) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(inverse(multiply(additive_identity,X_62))))]]) ).

cnf(refute_0_623,plain,
    inverse(multiply(additive_identity,X_62)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(additive_identity,X_62))) )],[refute_0_621,refute_0_622]) ).

cnf(refute_0_624,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | inverse(multiply(additive_identity,X_62)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_625,plain,
    ( inverse(multiply(additive_identity,X_62)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_529,refute_0_624]) ).

cnf(refute_0_626,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))),
    inference(resolve,[$cnf( $equal(inverse(multiply(additive_identity,X_62)),multiplicative_identity) )],[refute_0_623,refute_0_625]) ).

cnf(refute_0_627,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) != add(multiplicative_identity,multiply(X_62,additive_identity))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Y0,$fot(add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Z0,$fot(add(multiplicative_identity,multiply(X_62,additive_identity))))]]) ).

cnf(refute_0_628,plain,
    ( add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))) != add(multiplicative_identity,multiply(X_62,additive_identity))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_626,refute_0_627]) ).

cnf(refute_0_629,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(multiplicative_identity,multiply(X_62,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(additive_identity,add(multiplicative_identity,X_62))),add(multiplicative_identity,multiply(X_62,additive_identity))) )],[refute_0_508,refute_0_628]) ).

cnf(refute_0_630,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(multiplicative_identity,multiply(X_62,additive_identity))
    | add(multiplicative_identity,multiply(X_62,additive_identity)) != add(X_62,multiplicative_identity)
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(X_62,multiplicative_identity) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Y0,$fot(add(multiplicative_identity,multiply(X_62,additive_identity)))),bind(Z0,$fot(add(X_62,multiplicative_identity)))]]) ).

cnf(refute_0_631,plain,
    ( add(multiplicative_identity,multiply(X_62,additive_identity)) != add(X_62,multiplicative_identity)
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(X_62,multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(multiplicative_identity,multiply(X_62,additive_identity))) )],[refute_0_629,refute_0_630]) ).

cnf(refute_0_632,plain,
    add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) = add(X_62,multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_62,additive_identity)),add(X_62,multiplicative_identity)) )],[refute_0_501,refute_0_631]) ).

cnf(refute_0_633,plain,
    ( add(X_32,multiply(X_33,additive_identity)) != add(multiply(additive_identity,X_33),X_32)
    | add(multiply(additive_identity,X_33),X_32) = add(X_32,multiply(X_33,additive_identity)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X_32,multiply(X_33,additive_identity)))),bind(Y0,$fot(add(multiply(additive_identity,X_33),X_32)))]]) ).

cnf(refute_0_634,plain,
    add(multiply(additive_identity,X_33),X_32) = add(X_32,multiply(X_33,additive_identity)),
    inference(resolve,[$cnf( $equal(add(X_32,multiply(X_33,additive_identity)),add(multiply(additive_identity,X_33),X_32)) )],[refute_0_524,refute_0_633]) ).

cnf(refute_0_635,plain,
    add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),
    inference(subst,[],[refute_0_634:[bind(X_32,$fot(inverse(multiply(additive_identity,X_62)))),bind(X_33,$fot(add(multiplicative_identity,X_62)))]]) ).

cnf(refute_0_636,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity))
    | add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))))),bind(Y0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)))),bind(Z0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))))]]) ).

cnf(refute_0_637,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity))) )],[refute_0_635,refute_0_636]) ).

cnf(refute_0_638,plain,
    add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(add(multiplicative_identity,X_62),additive_identity)),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_611,refute_0_637]) ).

cnf(refute_0_639,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))
    | add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(X_62,multiplicative_identity)
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(X_62,multiplicative_identity) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))))),bind(Y0,$fot(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))))),bind(Z0,$fot(add(X_62,multiplicative_identity)))]]) ).

cnf(refute_0_640,plain,
    ( add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))) != add(X_62,multiplicative_identity)
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(X_62,multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62)))) )],[refute_0_638,refute_0_639]) ).

cnf(refute_0_641,plain,
    add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) = add(X_62,multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_62)),multiply(additive_identity,add(multiplicative_identity,X_62))),add(X_62,multiplicative_identity)) )],[refute_0_632,refute_0_640]) ).

cnf(refute_0_642,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != add(X_62,multiplicative_identity)
    | add(X_62,multiplicative_identity) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) ),[0],$fot(add(X_62,multiplicative_identity))]]) ).

cnf(refute_0_643,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(X_62,multiplicative_identity) = multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),add(X_62,multiplicative_identity)) )],[refute_0_641,refute_0_642]) ).

cnf(refute_0_644,plain,
    ( multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) != inverse(multiply(additive_identity,X_62))
    | inverse(multiply(additive_identity,X_62)) != multiplicative_identity
    | multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity))),bind(Y0,$fot(inverse(multiply(additive_identity,X_62)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_645,plain,
    ( inverse(multiply(additive_identity,X_62)) != multiplicative_identity
    | multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity),inverse(multiply(additive_identity,X_62))) )],[refute_0_617,refute_0_644]) ).

cnf(refute_0_646,plain,
    multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(inverse(multiply(additive_identity,X_62)),multiplicative_identity) )],[refute_0_623,refute_0_645]) ).

cnf(refute_0_647,plain,
    ( multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity) != multiplicative_identity
    | add(X_62,multiplicative_identity) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(X_62,multiplicative_identity) = multiplicative_identity ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_62,multiplicative_identity),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) ),[1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_648,plain,
    ( add(X_62,multiplicative_identity) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(X_62,multiplicative_identity) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity),multiplicative_identity) )],[refute_0_646,refute_0_647]) ).

cnf(refute_0_649,plain,
    ( add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))) != multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)
    | add(X_62,multiplicative_identity) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(X_62,multiplicative_identity),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) )],[refute_0_643,refute_0_648]) ).

cnf(refute_0_650,plain,
    add(X_62,multiplicative_identity) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,add(multiplicative_identity,X_62)),inverse(multiply(additive_identity,X_62))),multiply(inverse(multiply(additive_identity,X_62)),multiplicative_identity)) )],[refute_0_489,refute_0_649]) ).

cnf(refute_0_651,plain,
    add(X_37,multiplicative_identity) = multiplicative_identity,
    inference(subst,[],[refute_0_650:[bind(X_62,$fot(X_37))]]) ).

cnf(refute_0_652,plain,
    multiply(add(X_37,multiplicative_identity),Y) = multiply(add(X_37,multiplicative_identity),Y),
    introduced(tautology,[refl,[$fot(multiply(add(X_37,multiplicative_identity),Y))]]) ).

cnf(refute_0_653,plain,
    ( multiply(add(X_37,multiplicative_identity),Y) != multiply(add(X_37,multiplicative_identity),Y)
    | add(X_37,multiplicative_identity) != multiplicative_identity
    | multiply(add(X_37,multiplicative_identity),Y) = multiply(multiplicative_identity,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_37,multiplicative_identity),Y),multiply(add(X_37,multiplicative_identity),Y)) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_654,plain,
    ( add(X_37,multiplicative_identity) != multiplicative_identity
    | multiply(add(X_37,multiplicative_identity),Y) = multiply(multiplicative_identity,Y) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,multiplicative_identity),Y),multiply(add(X_37,multiplicative_identity),Y)) )],[refute_0_652,refute_0_653]) ).

cnf(refute_0_655,plain,
    multiply(add(X_37,multiplicative_identity),Y) = multiply(multiplicative_identity,Y),
    inference(resolve,[$cnf( $equal(add(X_37,multiplicative_identity),multiplicative_identity) )],[refute_0_651,refute_0_654]) ).

cnf(refute_0_656,plain,
    ( multiply(add(X_37,multiplicative_identity),Y) != multiply(multiplicative_identity,Y)
    | multiply(multiplicative_identity,Y) != Y
    | multiply(add(X_37,multiplicative_identity),Y) = Y ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(add(X_37,multiplicative_identity),Y))),bind(Y0,$fot(multiply(multiplicative_identity,Y))),bind(Z0,$fot(Y))]]) ).

cnf(refute_0_657,plain,
    ( multiply(multiplicative_identity,Y) != Y
    | multiply(add(X_37,multiplicative_identity),Y) = Y ),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,multiplicative_identity),Y),multiply(multiplicative_identity,Y)) )],[refute_0_655,refute_0_656]) ).

cnf(refute_0_658,plain,
    multiply(add(X_37,multiplicative_identity),Y) = Y,
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,Y),Y) )],[refute_0_476,refute_0_657]) ).

cnf(refute_0_659,plain,
    add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)),
    introduced(tautology,[refl,[$fot(add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)))]]) ).

cnf(refute_0_660,plain,
    ( multiply(add(X_37,multiplicative_identity),Y) != Y
    | add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) != add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y))
    | add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)),add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y))) ),[1,1],$fot(Y)]]) ).

cnf(refute_0_661,plain,
    ( multiply(add(X_37,multiplicative_identity),Y) != Y
    | add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)),add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y))) )],[refute_0_659,refute_0_660]) ).

cnf(refute_0_662,plain,
    add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y),
    inference(resolve,[$cnf( $equal(multiply(add(X_37,multiplicative_identity),Y),Y) )],[refute_0_658,refute_0_661]) ).

cnf(refute_0_663,plain,
    inverse(multiply(additive_identity,X_37)) = multiplicative_identity,
    inference(subst,[],[refute_0_623:[bind(X_62,$fot(X_37))]]) ).

cnf(refute_0_664,plain,
    add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)))]]) ).

cnf(refute_0_665,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y))
    | inverse(multiply(additive_identity,X_37)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_666,plain,
    ( inverse(multiply(additive_identity,X_37)) != multiplicative_identity
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y))) )],[refute_0_664,refute_0_665]) ).

cnf(refute_0_667,plain,
    add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)),
    inference(resolve,[$cnf( $equal(inverse(multiply(additive_identity,X_37)),multiplicative_identity) )],[refute_0_663,refute_0_666]) ).

cnf(refute_0_668,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y))
    | add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) != add(multiplicative_identity,Y)
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)))),bind(Y0,$fot(add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)))),bind(Z0,$fot(add(multiplicative_identity,Y)))]]) ).

cnf(refute_0_669,plain,
    ( add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)) != add(multiplicative_identity,Y)
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y))) )],[refute_0_667,refute_0_668]) ).

cnf(refute_0_670,plain,
    add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) = add(multiplicative_identity,Y),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(add(X_37,multiplicative_identity),Y)),add(multiplicative_identity,Y)) )],[refute_0_662,refute_0_669]) ).

cnf(refute_0_671,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(multiplicative_identity,Y)
    | add(multiplicative_identity,Y) = add(Y,inverse(multiply(additive_identity,X_37))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(Y,inverse(multiply(additive_identity,X_37)))) ),[0],$fot(add(multiplicative_identity,Y))]]) ).

cnf(refute_0_672,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(multiplicative_identity,Y) = add(Y,inverse(multiply(additive_identity,X_37))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(multiplicative_identity,Y)) )],[refute_0_670,refute_0_671]) ).

cnf(refute_0_673,plain,
    add(Y,multiplicative_identity) = multiplicative_identity,
    inference(subst,[],[refute_0_650:[bind(X_62,$fot(Y))]]) ).

cnf(refute_0_674,plain,
    add(Y,inverse(multiply(additive_identity,X_37))) = add(Y,inverse(multiply(additive_identity,X_37))),
    introduced(tautology,[refl,[$fot(add(Y,inverse(multiply(additive_identity,X_37))))]]) ).

cnf(refute_0_675,plain,
    ( add(Y,inverse(multiply(additive_identity,X_37))) != add(Y,inverse(multiply(additive_identity,X_37)))
    | inverse(multiply(additive_identity,X_37)) != multiplicative_identity
    | add(Y,inverse(multiply(additive_identity,X_37))) = add(Y,multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37)))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_676,plain,
    ( inverse(multiply(additive_identity,X_37)) != multiplicative_identity
    | add(Y,inverse(multiply(additive_identity,X_37))) = add(Y,multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(additive_identity,X_37))),add(Y,inverse(multiply(additive_identity,X_37)))) )],[refute_0_674,refute_0_675]) ).

cnf(refute_0_677,plain,
    add(Y,inverse(multiply(additive_identity,X_37))) = add(Y,multiplicative_identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(additive_identity,X_37)),multiplicative_identity) )],[refute_0_663,refute_0_676]) ).

cnf(refute_0_678,plain,
    ( add(Y,inverse(multiply(additive_identity,X_37))) != add(Y,multiplicative_identity)
    | add(Y,multiplicative_identity) != multiplicative_identity
    | add(Y,inverse(multiply(additive_identity,X_37))) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(Y,inverse(multiply(additive_identity,X_37))))),bind(Y0,$fot(add(Y,multiplicative_identity))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_679,plain,
    ( add(Y,multiplicative_identity) != multiplicative_identity
    | add(Y,inverse(multiply(additive_identity,X_37))) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(additive_identity,X_37))),add(Y,multiplicative_identity)) )],[refute_0_677,refute_0_678]) ).

cnf(refute_0_680,plain,
    add(Y,inverse(multiply(additive_identity,X_37))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(Y,multiplicative_identity),multiplicative_identity) )],[refute_0_673,refute_0_679]) ).

cnf(refute_0_681,plain,
    ( add(Y,inverse(multiply(additive_identity,X_37))) != multiplicative_identity
    | add(multiplicative_identity,Y) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(multiplicative_identity,Y) = multiplicative_identity ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,Y),add(Y,inverse(multiply(additive_identity,X_37)))) ),[1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_682,plain,
    ( add(multiplicative_identity,Y) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(multiplicative_identity,Y) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(additive_identity,X_37))),multiplicative_identity) )],[refute_0_680,refute_0_681]) ).

cnf(refute_0_683,plain,
    ( add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)) != add(Y,inverse(multiply(additive_identity,X_37)))
    | add(multiplicative_identity,Y) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,Y),add(Y,inverse(multiply(additive_identity,X_37)))) )],[refute_0_672,refute_0_682]) ).

cnf(refute_0_684,plain,
    add(multiplicative_identity,Y) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(inverse(multiply(additive_identity,X_37)),multiply(add(X_37,multiplicative_identity),Y)),add(Y,inverse(multiply(additive_identity,X_37)))) )],[refute_0_475,refute_0_683]) ).

cnf(refute_0_685,plain,
    add(multiplicative_identity,X_57) = multiplicative_identity,
    inference(subst,[],[refute_0_684:[bind(Y,$fot(X_57))]]) ).

cnf(refute_0_686,plain,
    multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(additive_identity,add(multiplicative_identity,X_57)),
    introduced(tautology,[refl,[$fot(multiply(additive_identity,add(multiplicative_identity,X_57)))]]) ).

cnf(refute_0_687,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_57)) != multiply(additive_identity,add(multiplicative_identity,X_57))
    | add(multiplicative_identity,X_57) != multiplicative_identity
    | multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(additive_identity,multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_57)),multiply(additive_identity,add(multiplicative_identity,X_57))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_688,plain,
    ( add(multiplicative_identity,X_57) != multiplicative_identity
    | multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(additive_identity,multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_57)),multiply(additive_identity,add(multiplicative_identity,X_57))) )],[refute_0_686,refute_0_687]) ).

cnf(refute_0_689,plain,
    multiply(additive_identity,add(multiplicative_identity,X_57)) = multiply(additive_identity,multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_57),multiplicative_identity) )],[refute_0_685,refute_0_688]) ).

cnf(refute_0_690,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_57)) != multiply(additive_identity,multiplicative_identity)
    | multiply(additive_identity,multiplicative_identity) != additive_identity
    | multiply(additive_identity,add(multiplicative_identity,X_57)) = additive_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(additive_identity,add(multiplicative_identity,X_57)))),bind(Y0,$fot(multiply(additive_identity,multiplicative_identity))),bind(Z0,$fot(additive_identity))]]) ).

cnf(refute_0_691,plain,
    ( multiply(additive_identity,multiplicative_identity) != additive_identity
    | multiply(additive_identity,add(multiplicative_identity,X_57)) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_57)),multiply(additive_identity,multiplicative_identity)) )],[refute_0_689,refute_0_690]) ).

cnf(refute_0_692,plain,
    multiply(additive_identity,add(multiplicative_identity,X_57)) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(additive_identity,multiplicative_identity),additive_identity) )],[refute_0_155,refute_0_691]) ).

cnf(refute_0_693,plain,
    ( multiply(X_57,additive_identity) != multiply(additive_identity,add(multiplicative_identity,X_57))
    | multiply(additive_identity,add(multiplicative_identity,X_57)) != additive_identity
    | multiply(X_57,additive_identity) = additive_identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_57,additive_identity),additive_identity) ),[0],$fot(multiply(additive_identity,add(multiplicative_identity,X_57)))]]) ).

cnf(refute_0_694,plain,
    ( multiply(X_57,additive_identity) != multiply(additive_identity,add(multiplicative_identity,X_57))
    | multiply(X_57,additive_identity) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_57)),additive_identity) )],[refute_0_692,refute_0_693]) ).

cnf(refute_0_695,plain,
    multiply(X_57,additive_identity) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(X_57,additive_identity),multiply(additive_identity,add(multiplicative_identity,X_57))) )],[refute_0_424,refute_0_694]) ).

cnf(refute_0_696,plain,
    multiply(X_10,additive_identity) = additive_identity,
    inference(subst,[],[refute_0_695:[bind(X_57,$fot(X_10))]]) ).

cnf(refute_0_697,plain,
    inverse(multiply(X_10,additive_identity)) = inverse(multiply(X_10,additive_identity)),
    introduced(tautology,[refl,[$fot(inverse(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_698,plain,
    ( multiply(X_10,additive_identity) != additive_identity
    | inverse(multiply(X_10,additive_identity)) != inverse(multiply(X_10,additive_identity))
    | inverse(multiply(X_10,additive_identity)) = inverse(additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,additive_identity)),inverse(multiply(X_10,additive_identity))) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_699,plain,
    ( multiply(X_10,additive_identity) != additive_identity
    | inverse(multiply(X_10,additive_identity)) = inverse(additive_identity) ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_10,additive_identity)),inverse(multiply(X_10,additive_identity))) )],[refute_0_697,refute_0_698]) ).

cnf(refute_0_700,plain,
    inverse(multiply(X_10,additive_identity)) = inverse(additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),additive_identity) )],[refute_0_696,refute_0_699]) ).

cnf(refute_0_701,plain,
    ( inverse(multiply(X_10,additive_identity)) != inverse(additive_identity)
    | inverse(additive_identity) != multiplicative_identity
    | inverse(multiply(X_10,additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(multiply(X_10,additive_identity)))),bind(Y0,$fot(inverse(additive_identity))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_702,plain,
    ( inverse(additive_identity) != multiplicative_identity
    | inverse(multiply(X_10,additive_identity)) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_10,additive_identity)),inverse(additive_identity)) )],[refute_0_700,refute_0_701]) ).

cnf(refute_0_703,plain,
    inverse(multiply(X_10,additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(inverse(additive_identity),multiplicative_identity) )],[refute_0_368,refute_0_702]) ).

cnf(refute_0_704,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = inverse(inverse(multiply(X_10,additive_identity))),
    introduced(tautology,[refl,[$fot(inverse(inverse(multiply(X_10,additive_identity))))]]) ).

cnf(refute_0_705,plain,
    ( inverse(multiply(X_10,additive_identity)) != multiplicative_identity
    | inverse(inverse(multiply(X_10,additive_identity))) != inverse(inverse(multiply(X_10,additive_identity)))
    | inverse(inverse(multiply(X_10,additive_identity))) = inverse(multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),inverse(inverse(multiply(X_10,additive_identity)))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_706,plain,
    ( inverse(multiply(X_10,additive_identity)) != multiplicative_identity
    | inverse(inverse(multiply(X_10,additive_identity))) = inverse(multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),inverse(inverse(multiply(X_10,additive_identity)))) )],[refute_0_704,refute_0_705]) ).

cnf(refute_0_707,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = inverse(multiplicative_identity),
    inference(resolve,[$cnf( $equal(inverse(multiply(X_10,additive_identity)),multiplicative_identity) )],[refute_0_703,refute_0_706]) ).

cnf(refute_0_708,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != inverse(multiplicative_identity)
    | inverse(multiplicative_identity) != additive_identity
    | inverse(inverse(multiply(X_10,additive_identity))) = additive_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(inverse(inverse(multiply(X_10,additive_identity))))),bind(Y0,$fot(inverse(multiplicative_identity))),bind(Z0,$fot(additive_identity))]]) ).

cnf(refute_0_709,plain,
    ( inverse(multiplicative_identity) != additive_identity
    | inverse(inverse(multiply(X_10,additive_identity))) = additive_identity ),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),inverse(multiplicative_identity)) )],[refute_0_707,refute_0_708]) ).

cnf(refute_0_710,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = additive_identity,
    inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_363,refute_0_709]) ).

cnf(refute_0_711,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | inverse(inverse(multiply(X_10,additive_identity))) != additive_identity
    | additive_identity = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) ),[0],$fot(additive_identity)]]) ).

cnf(refute_0_712,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | additive_identity = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),additive_identity) )],[refute_0_710,refute_0_711]) ).

cnf(refute_0_713,plain,
    add(X_10,additive_identity) = X_10,
    inference(subst,[],[additive_id1:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_714,plain,
    multiply(additive_identity,add(X_10,additive_identity)) = multiply(additive_identity,add(X_10,additive_identity)),
    introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_10,additive_identity)))]]) ).

cnf(refute_0_715,plain,
    ( multiply(additive_identity,add(X_10,additive_identity)) != multiply(additive_identity,add(X_10,additive_identity))
    | add(X_10,additive_identity) != X_10
    | multiply(additive_identity,add(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,additive_identity)),multiply(additive_identity,add(X_10,additive_identity))) ),[1,1],$fot(X_10)]]) ).

cnf(refute_0_716,plain,
    ( add(X_10,additive_identity) != X_10
    | multiply(additive_identity,add(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,additive_identity)),multiply(additive_identity,add(X_10,additive_identity))) )],[refute_0_714,refute_0_715]) ).

cnf(refute_0_717,plain,
    multiply(additive_identity,add(X_10,additive_identity)) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_713,refute_0_716]) ).

cnf(refute_0_718,plain,
    add(additive_identity,multiply(X_10,additive_identity)) = multiply(additive_identity,add(X_10,additive_identity)),
    inference(subst,[],[refute_0_497:[bind(X_46,$fot(additive_identity)),bind(X_47,$fot(X_10))]]) ).

cnf(refute_0_719,plain,
    ( multiply(additive_identity,add(X_10,additive_identity)) != multiply(additive_identity,X_10)
    | add(additive_identity,multiply(X_10,additive_identity)) != multiply(additive_identity,add(X_10,additive_identity))
    | add(additive_identity,multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(additive_identity,multiply(X_10,additive_identity)))),bind(Y0,$fot(multiply(additive_identity,add(X_10,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_720,plain,
    ( multiply(additive_identity,add(X_10,additive_identity)) != multiply(additive_identity,X_10)
    | add(additive_identity,multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_10,additive_identity)),multiply(additive_identity,add(X_10,additive_identity))) )],[refute_0_718,refute_0_719]) ).

cnf(refute_0_721,plain,
    add(additive_identity,multiply(X_10,additive_identity)) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,additive_identity)),multiply(additive_identity,X_10)) )],[refute_0_717,refute_0_720]) ).

cnf(refute_0_722,plain,
    add(multiply(additive_identity,X_10),additive_identity) = add(additive_identity,multiply(X_10,additive_identity)),
    inference(subst,[],[refute_0_634:[bind(X_32,$fot(additive_identity)),bind(X_33,$fot(X_10))]]) ).

cnf(refute_0_723,plain,
    ( add(multiply(additive_identity,X_10),additive_identity) != add(additive_identity,multiply(X_10,additive_identity))
    | add(additive_identity,multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
    | add(multiply(additive_identity,X_10),additive_identity) = multiply(additive_identity,X_10) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,X_10),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_10,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_724,plain,
    ( add(additive_identity,multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
    | add(multiply(additive_identity,X_10),additive_identity) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),additive_identity),add(additive_identity,multiply(X_10,additive_identity))) )],[refute_0_722,refute_0_723]) ).

cnf(refute_0_725,plain,
    add(multiply(additive_identity,X_10),additive_identity) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) )],[refute_0_721,refute_0_724]) ).

cnf(refute_0_726,plain,
    add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
    introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_727,plain,
    ( add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | inverse(inverse(multiply(X_10,additive_identity))) != additive_identity
    | add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_728,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != additive_identity
    | add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),additive_identity) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_726,refute_0_727]) ).

cnf(refute_0_729,plain,
    add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),additive_identity),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),additive_identity) )],[refute_0_710,refute_0_728]) ).

cnf(refute_0_730,plain,
    ( add(multiply(additive_identity,X_10),additive_identity) != multiply(additive_identity,X_10)
    | add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) != add(multiply(additive_identity,X_10),additive_identity)
    | add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(additive_identity,X_10) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))))),bind(Y0,$fot(add(multiply(additive_identity,X_10),additive_identity))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_731,plain,
    ( add(multiply(additive_identity,X_10),additive_identity) != multiply(additive_identity,X_10)
    | add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),additive_identity)) )],[refute_0_729,refute_0_730]) ).

cnf(refute_0_732,plain,
    add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),additive_identity),multiply(additive_identity,X_10)) )],[refute_0_725,refute_0_731]) ).

cnf(refute_0_733,plain,
    ( add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(additive_identity,X_10)
    | additive_identity != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | additive_identity = multiply(additive_identity,X_10) ),
    introduced(tautology,[equality,[$cnf( $equal(additive_identity,add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) ),[1],$fot(multiply(additive_identity,X_10))]]) ).

cnf(refute_0_734,plain,
    ( additive_identity != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | additive_identity = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),multiply(additive_identity,X_10)) )],[refute_0_732,refute_0_733]) ).

cnf(refute_0_735,plain,
    ( inverse(inverse(multiply(X_10,additive_identity))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
    | additive_identity = multiply(additive_identity,X_10) ),
    inference(resolve,[$cnf( $equal(additive_identity,add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_712,refute_0_734]) ).

cnf(refute_0_736,plain,
    additive_identity = multiply(additive_identity,X_10),
    inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_358,refute_0_735]) ).

cnf(refute_0_737,plain,
    ( additive_identity != multiply(additive_identity,X_10)
    | multiply(additive_identity,X_10) = additive_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_738,plain,
    multiply(additive_identity,X_10) = additive_identity,
    inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_10)) )],[refute_0_736,refute_0_737]) ).

cnf(refute_0_739,plain,
    multiply(additive_identity,Z) = additive_identity,
    inference(subst,[],[refute_0_738:[bind(X_10,$fot(Z))]]) ).

cnf(refute_0_740,plain,
    multiply(X_47,additive_identity) = additive_identity,
    inference(subst,[],[refute_0_695:[bind(X_57,$fot(X_47))]]) ).

cnf(refute_0_741,plain,
    multiply(multiply(X_47,additive_identity),Z) = multiply(multiply(X_47,additive_identity),Z),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_47,additive_identity),Z))]]) ).

cnf(refute_0_742,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | multiply(multiply(X_47,additive_identity),Z) != multiply(multiply(X_47,additive_identity),Z)
    | multiply(multiply(X_47,additive_identity),Z) = multiply(additive_identity,Z) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_47,additive_identity),Z),multiply(multiply(X_47,additive_identity),Z)) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_743,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | multiply(multiply(X_47,additive_identity),Z) = multiply(additive_identity,Z) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),Z),multiply(multiply(X_47,additive_identity),Z)) )],[refute_0_741,refute_0_742]) ).

cnf(refute_0_744,plain,
    multiply(multiply(X_47,additive_identity),Z) = multiply(additive_identity,Z),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),additive_identity) )],[refute_0_740,refute_0_743]) ).

cnf(refute_0_745,plain,
    ( multiply(multiply(X_47,additive_identity),Z) != multiply(additive_identity,Z)
    | multiply(additive_identity,Z) != additive_identity
    | multiply(multiply(X_47,additive_identity),Z) = additive_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(multiply(X_47,additive_identity),Z))),bind(Y0,$fot(multiply(additive_identity,Z))),bind(Z0,$fot(additive_identity))]]) ).

cnf(refute_0_746,plain,
    ( multiply(additive_identity,Z) != additive_identity
    | multiply(multiply(X_47,additive_identity),Z) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),Z),multiply(additive_identity,Z)) )],[refute_0_744,refute_0_745]) ).

cnf(refute_0_747,plain,
    multiply(multiply(X_47,additive_identity),Z) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(additive_identity,Z),additive_identity) )],[refute_0_739,refute_0_746]) ).

cnf(refute_0_748,plain,
    add(X,multiply(multiply(X_47,additive_identity),Z)) = add(X,multiply(multiply(X_47,additive_identity),Z)),
    introduced(tautology,[refl,[$fot(add(X,multiply(multiply(X_47,additive_identity),Z)))]]) ).

cnf(refute_0_749,plain,
    ( multiply(multiply(X_47,additive_identity),Z) != additive_identity
    | add(X,multiply(multiply(X_47,additive_identity),Z)) != add(X,multiply(multiply(X_47,additive_identity),Z))
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = add(X,additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),add(X,multiply(multiply(X_47,additive_identity),Z))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_750,plain,
    ( multiply(multiply(X_47,additive_identity),Z) != additive_identity
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = add(X,additive_identity) ),
    inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),add(X,multiply(multiply(X_47,additive_identity),Z))) )],[refute_0_748,refute_0_749]) ).

cnf(refute_0_751,plain,
    add(X,multiply(multiply(X_47,additive_identity),Z)) = add(X,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),Z),additive_identity) )],[refute_0_747,refute_0_750]) ).

cnf(refute_0_752,plain,
    ( add(X,multiply(multiply(X_47,additive_identity),Z)) != add(X,additive_identity)
    | add(X,additive_identity) != X
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = X ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(X,multiply(multiply(X_47,additive_identity),Z)))),bind(Y0,$fot(add(X,additive_identity))),bind(Z0,$fot(X))]]) ).

cnf(refute_0_753,plain,
    ( add(X,additive_identity) != X
    | add(X,multiply(multiply(X_47,additive_identity),Z)) = X ),
    inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),add(X,additive_identity)) )],[refute_0_751,refute_0_752]) ).

cnf(refute_0_754,plain,
    add(X,multiply(multiply(X_47,additive_identity),Z)) = X,
    inference(resolve,[$cnf( $equal(add(X,additive_identity),X) )],[additive_id1,refute_0_753]) ).

cnf(refute_0_755,plain,
    ( add(X,multiply(multiply(X_47,additive_identity),Z)) != X
    | add(X,multiply(multiply(X_47,additive_identity),Z)) != multiply(multiply(X,add(X,X_47)),add(X,Z))
    | X = multiply(multiply(X,add(X,X_47)),add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),multiply(multiply(X,add(X,X_47)),add(X,Z))) ),[0],$fot(X)]]) ).

cnf(refute_0_756,plain,
    ( add(X,multiply(multiply(X_47,additive_identity),Z)) != multiply(multiply(X,add(X,X_47)),add(X,Z))
    | X = multiply(multiply(X,add(X,X_47)),add(X,Z)) ),
    inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),X) )],[refute_0_754,refute_0_755]) ).

cnf(refute_0_757,plain,
    X = multiply(multiply(X,add(X,X_47)),add(X,Z)),
    inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_47,additive_identity),Z)),multiply(multiply(X,add(X,X_47)),add(X,Z))) )],[refute_0_316,refute_0_756]) ).

cnf(refute_0_758,plain,
    add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(add(X,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity))),
    inference(subst,[],[distributivity1:[bind(Z,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_759,plain,
    ( add(X,multiply(X_47,additive_identity)) != multiply(X,add(X,X_47))
    | add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(add(X,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity)))
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),multiply(add(X,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity)))) ),[1,0],$fot(multiply(X,add(X,X_47)))]]) ).

cnf(refute_0_760,plain,
    ( add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(add(X,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity)))
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(X,multiply(X_47,additive_identity)),multiply(X,add(X,X_47))) )],[refute_0_313,refute_0_759]) ).

cnf(refute_0_761,plain,
    add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),multiply(add(X,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity)))) )],[refute_0_758,refute_0_760]) ).

cnf(refute_0_762,plain,
    add(additive_identity,multiply(X,Y)) = multiply(X,Y),
    inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X,Y)))]]) ).

cnf(refute_0_763,plain,
    add(multiply(X,Y),additive_identity) = add(additive_identity,multiply(X,Y)),
    inference(subst,[],[refute_0_299:[bind(Y,$fot(multiply(X,Y))),bind(X_43,$fot(additive_identity))]]) ).

cnf(refute_0_764,plain,
    ( add(multiply(X,Y),additive_identity) != add(additive_identity,multiply(X,Y))
    | add(additive_identity,multiply(X,Y)) != multiply(X,Y)
    | add(multiply(X,Y),additive_identity) = multiply(X,Y) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(X,Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X,Y)))),bind(Z0,$fot(multiply(X,Y)))]]) ).

cnf(refute_0_765,plain,
    ( add(additive_identity,multiply(X,Y)) != multiply(X,Y)
    | add(multiply(X,Y),additive_identity) = multiply(X,Y) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),additive_identity),add(additive_identity,multiply(X,Y))) )],[refute_0_763,refute_0_764]) ).

cnf(refute_0_766,plain,
    add(multiply(X,Y),additive_identity) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X,Y)),multiply(X,Y)) )],[refute_0_762,refute_0_765]) ).

cnf(refute_0_767,plain,
    add(multiply(X,Y),multiply(X_47,additive_identity)) = add(multiply(X,Y),multiply(X_47,additive_identity)),
    introduced(tautology,[refl,[$fot(add(multiply(X,Y),multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_768,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | add(multiply(X,Y),multiply(X_47,additive_identity)) != add(multiply(X,Y),multiply(X_47,additive_identity))
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = add(multiply(X,Y),additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),add(multiply(X,Y),multiply(X_47,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_769,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = add(multiply(X,Y),additive_identity) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),add(multiply(X,Y),multiply(X_47,additive_identity))) )],[refute_0_767,refute_0_768]) ).

cnf(refute_0_770,plain,
    add(multiply(X,Y),multiply(X_47,additive_identity)) = add(multiply(X,Y),additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),additive_identity) )],[refute_0_740,refute_0_769]) ).

cnf(refute_0_771,plain,
    ( add(multiply(X,Y),multiply(X_47,additive_identity)) != add(multiply(X,Y),additive_identity)
    | add(multiply(X,Y),additive_identity) != multiply(X,Y)
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(X,Y) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(X,Y),multiply(X_47,additive_identity)))),bind(Y0,$fot(add(multiply(X,Y),additive_identity))),bind(Z0,$fot(multiply(X,Y)))]]) ).

cnf(refute_0_772,plain,
    ( add(multiply(X,Y),additive_identity) != multiply(X,Y)
    | add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(X,Y) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),add(multiply(X,Y),additive_identity)) )],[refute_0_770,refute_0_771]) ).

cnf(refute_0_773,plain,
    add(multiply(X,Y),multiply(X_47,additive_identity)) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),additive_identity),multiply(X,Y)) )],[refute_0_766,refute_0_772]) ).

cnf(refute_0_774,plain,
    ( add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(X,Y)
    | add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | multiply(X,Y) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))) ),[0],$fot(multiply(X,Y))]]) ).

cnf(refute_0_775,plain,
    ( add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | multiply(X,Y) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),multiply(X,Y)) )],[refute_0_773,refute_0_774]) ).

cnf(refute_0_776,plain,
    add(Y,additive_identity) = Y,
    inference(subst,[],[additive_id1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_777,plain,
    add(Y,multiply(X_47,additive_identity)) = add(Y,multiply(X_47,additive_identity)),
    introduced(tautology,[refl,[$fot(add(Y,multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_778,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | add(Y,multiply(X_47,additive_identity)) != add(Y,multiply(X_47,additive_identity))
    | add(Y,multiply(X_47,additive_identity)) = add(Y,additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_779,plain,
    ( multiply(X_47,additive_identity) != additive_identity
    | add(Y,multiply(X_47,additive_identity)) = add(Y,additive_identity) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_47,additive_identity)),add(Y,multiply(X_47,additive_identity))) )],[refute_0_777,refute_0_778]) ).

cnf(refute_0_780,plain,
    add(Y,multiply(X_47,additive_identity)) = add(Y,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),additive_identity) )],[refute_0_740,refute_0_779]) ).

cnf(refute_0_781,plain,
    ( add(Y,multiply(X_47,additive_identity)) != add(Y,additive_identity)
    | add(Y,additive_identity) != Y
    | add(Y,multiply(X_47,additive_identity)) = Y ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(Y,multiply(X_47,additive_identity)))),bind(Y0,$fot(add(Y,additive_identity))),bind(Z0,$fot(Y))]]) ).

cnf(refute_0_782,plain,
    ( add(Y,additive_identity) != Y
    | add(Y,multiply(X_47,additive_identity)) = Y ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_47,additive_identity)),add(Y,additive_identity)) )],[refute_0_780,refute_0_781]) ).

cnf(refute_0_783,plain,
    add(Y,multiply(X_47,additive_identity)) = Y,
    inference(resolve,[$cnf( $equal(add(Y,additive_identity),Y) )],[refute_0_776,refute_0_782]) ).

cnf(refute_0_784,plain,
    multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) = multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))),
    introduced(tautology,[refl,[$fot(multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))))]]) ).

cnf(refute_0_785,plain,
    ( multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | add(Y,multiply(X_47,additive_identity)) != Y
    | multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) = multiply(multiply(X,add(X,X_47)),Y) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))),multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))) ),[1,1],$fot(Y)]]) ).

cnf(refute_0_786,plain,
    ( add(Y,multiply(X_47,additive_identity)) != Y
    | multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) = multiply(multiply(X,add(X,X_47)),Y) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))),multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))) )],[refute_0_784,refute_0_785]) ).

cnf(refute_0_787,plain,
    multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) = multiply(multiply(X,add(X,X_47)),Y),
    inference(resolve,[$cnf( $equal(add(Y,multiply(X_47,additive_identity)),Y) )],[refute_0_783,refute_0_786]) ).

cnf(refute_0_788,plain,
    ( multiply(X,Y) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))) != multiply(multiply(X,add(X,X_47)),Y)
    | multiply(X,Y) = multiply(multiply(X,add(X,X_47)),Y) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(multiply(X,add(X,X_47)),Y)) ),[0],$fot(multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))))]]) ).

cnf(refute_0_789,plain,
    ( multiply(X,Y) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | multiply(X,Y) = multiply(multiply(X,add(X,X_47)),Y) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity))),multiply(multiply(X,add(X,X_47)),Y)) )],[refute_0_787,refute_0_788]) ).

cnf(refute_0_790,plain,
    ( add(multiply(X,Y),multiply(X_47,additive_identity)) != multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))
    | multiply(X,Y) = multiply(multiply(X,add(X,X_47)),Y) ),
    inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))) )],[refute_0_775,refute_0_789]) ).

cnf(refute_0_791,plain,
    multiply(X,Y) = multiply(multiply(X,add(X,X_47)),Y),
    inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X_47,additive_identity)),multiply(multiply(X,add(X,X_47)),add(Y,multiply(X_47,additive_identity)))) )],[refute_0_761,refute_0_790]) ).

cnf(refute_0_792,plain,
    ( multiply(X,Y) != multiply(multiply(X,add(X,X_47)),Y)
    | multiply(multiply(X,add(X,X_47)),Y) = multiply(X,Y) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(multiply(X,add(X,X_47)),Y)))]]) ).

cnf(refute_0_793,plain,
    multiply(multiply(X,add(X,X_47)),Y) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(multiply(X,add(X,X_47)),Y)) )],[refute_0_791,refute_0_792]) ).

cnf(refute_0_794,plain,
    multiply(multiply(X,add(X,X_47)),add(X,Z)) = multiply(X,add(X,Z)),
    inference(subst,[],[refute_0_793:[bind(Y,$fot(add(X,Z)))]]) ).

cnf(refute_0_795,plain,
    ( X != multiply(multiply(X,add(X,X_47)),add(X,Z))
    | multiply(multiply(X,add(X,X_47)),add(X,Z)) != multiply(X,add(X,Z))
    | X = multiply(X,add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X,multiply(X,add(X,Z))) ),[0],$fot(multiply(multiply(X,add(X,X_47)),add(X,Z)))]]) ).

cnf(refute_0_796,plain,
    ( X != multiply(multiply(X,add(X,X_47)),add(X,Z))
    | X = multiply(X,add(X,Z)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X,add(X,X_47)),add(X,Z)),multiply(X,add(X,Z))) )],[refute_0_794,refute_0_795]) ).

cnf(refute_0_797,plain,
    X = multiply(X,add(X,Z)),
    inference(resolve,[$cnf( $equal(X,multiply(multiply(X,add(X,X_47)),add(X,Z))) )],[refute_0_757,refute_0_796]) ).

cnf(refute_0_798,plain,
    ( X != multiply(X,add(X,Z))
    | multiply(X,add(X,Z)) = X ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X)),bind(Y0,$fot(multiply(X,add(X,Z))))]]) ).

cnf(refute_0_799,plain,
    multiply(X,add(X,Z)) = X,
    inference(resolve,[$cnf( $equal(X,multiply(X,add(X,Z))) )],[refute_0_797,refute_0_798]) ).

cnf(refute_0_800,plain,
    add(Z,multiply(X,add(X,Z))) = add(Z,multiply(X,add(X,Z))),
    introduced(tautology,[refl,[$fot(add(Z,multiply(X,add(X,Z))))]]) ).

cnf(refute_0_801,plain,
    ( multiply(X,add(X,Z)) != X
    | add(Z,multiply(X,add(X,Z))) != add(Z,multiply(X,add(X,Z)))
    | add(Z,multiply(X,add(X,Z))) = add(Z,X) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(X,add(X,Z))),add(Z,multiply(X,add(X,Z)))) ),[1,1],$fot(X)]]) ).

cnf(refute_0_802,plain,
    ( multiply(X,add(X,Z)) != X
    | add(Z,multiply(X,add(X,Z))) = add(Z,X) ),
    inference(resolve,[$cnf( $equal(add(Z,multiply(X,add(X,Z))),add(Z,multiply(X,add(X,Z)))) )],[refute_0_800,refute_0_801]) ).

cnf(refute_0_803,plain,
    add(Z,multiply(X,add(X,Z))) = add(Z,X),
    inference(resolve,[$cnf( $equal(multiply(X,add(X,Z)),X) )],[refute_0_799,refute_0_802]) ).

cnf(refute_0_804,plain,
    ( add(Z,multiply(X,add(X,Z))) != add(Z,X)
    | add(Z,multiply(X,add(X,Z))) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,X) = add(multiply(additive_identity,Z),add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(X,add(X,Z))),add(multiply(additive_identity,Z),add(X,Z))) ),[0],$fot(add(Z,X))]]) ).

cnf(refute_0_805,plain,
    ( add(Z,multiply(X,add(X,Z))) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,X) = add(multiply(additive_identity,Z),add(X,Z)) ),
    inference(resolve,[$cnf( $equal(add(Z,multiply(X,add(X,Z))),add(Z,X)) )],[refute_0_803,refute_0_804]) ).

cnf(refute_0_806,plain,
    add(additive_identity,add(X,Z)) = add(X,Z),
    inference(subst,[],[additive_id2:[bind(X,$fot(add(X,Z)))]]) ).

cnf(refute_0_807,plain,
    add(multiply(additive_identity,Z),add(X,Z)) = add(multiply(additive_identity,Z),add(X,Z)),
    introduced(tautology,[refl,[$fot(add(multiply(additive_identity,Z),add(X,Z)))]]) ).

cnf(refute_0_808,plain,
    ( multiply(additive_identity,Z) != additive_identity
    | add(multiply(additive_identity,Z),add(X,Z)) != add(multiply(additive_identity,Z),add(X,Z))
    | add(multiply(additive_identity,Z),add(X,Z)) = add(additive_identity,add(X,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,Z),add(X,Z)),add(multiply(additive_identity,Z),add(X,Z))) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_809,plain,
    ( multiply(additive_identity,Z) != additive_identity
    | add(multiply(additive_identity,Z),add(X,Z)) = add(additive_identity,add(X,Z)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Z),add(X,Z)),add(multiply(additive_identity,Z),add(X,Z))) )],[refute_0_807,refute_0_808]) ).

cnf(refute_0_810,plain,
    add(multiply(additive_identity,Z),add(X,Z)) = add(additive_identity,add(X,Z)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,Z),additive_identity) )],[refute_0_739,refute_0_809]) ).

cnf(refute_0_811,plain,
    ( add(multiply(additive_identity,Z),add(X,Z)) != add(additive_identity,add(X,Z))
    | add(additive_identity,add(X,Z)) != add(X,Z)
    | add(multiply(additive_identity,Z),add(X,Z)) = add(X,Z) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,Z),add(X,Z)))),bind(Y0,$fot(add(additive_identity,add(X,Z)))),bind(Z0,$fot(add(X,Z)))]]) ).

cnf(refute_0_812,plain,
    ( add(additive_identity,add(X,Z)) != add(X,Z)
    | add(multiply(additive_identity,Z),add(X,Z)) = add(X,Z) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Z),add(X,Z)),add(additive_identity,add(X,Z))) )],[refute_0_810,refute_0_811]) ).

cnf(refute_0_813,plain,
    add(multiply(additive_identity,Z),add(X,Z)) = add(X,Z),
    inference(resolve,[$cnf( $equal(add(additive_identity,add(X,Z)),add(X,Z)) )],[refute_0_806,refute_0_812]) ).

cnf(refute_0_814,plain,
    ( add(Z,X) != add(multiply(additive_identity,Z),add(X,Z))
    | add(multiply(additive_identity,Z),add(X,Z)) != add(X,Z)
    | add(Z,X) = add(X,Z) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(Z,X),add(X,Z)) ),[0],$fot(add(multiply(additive_identity,Z),add(X,Z)))]]) ).

cnf(refute_0_815,plain,
    ( add(Z,X) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,X) = add(X,Z) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,Z),add(X,Z)),add(X,Z)) )],[refute_0_813,refute_0_814]) ).

cnf(refute_0_816,plain,
    ( add(Z,multiply(X,add(X,Z))) != add(multiply(additive_identity,Z),add(X,Z))
    | add(Z,X) = add(X,Z) ),
    inference(resolve,[$cnf( $equal(add(Z,X),add(multiply(additive_identity,Z),add(X,Z))) )],[refute_0_805,refute_0_815]) ).

cnf(refute_0_817,plain,
    add(Z,X) = add(X,Z),
    inference(resolve,[$cnf( $equal(add(Z,multiply(X,add(X,Z))),add(multiply(additive_identity,Z),add(X,Z))) )],[refute_0_303,refute_0_816]) ).

cnf(refute_0_818,plain,
    ( add(Z,X) != add(X,Z)
    | add(X,Z) = add(Z,X) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(Z,X))),bind(Y0,$fot(add(X,Z)))]]) ).

cnf(refute_0_819,plain,
    add(X,Z) = add(Z,X),
    inference(resolve,[$cnf( $equal(add(Z,X),add(X,Z)) )],[refute_0_817,refute_0_818]) ).

cnf(refute_0_820,plain,
    add(multiply(X_93,X_94),additive_identity) = add(additive_identity,multiply(X_93,X_94)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(multiply(X_93,X_94))),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_821,plain,
    ( add(multiply(X_93,X_94),additive_identity) != add(additive_identity,multiply(X_93,X_94))
    | add(additive_identity,multiply(X_93,X_94)) != multiply(X_93,X_94)
    | add(multiply(X_93,X_94),additive_identity) = multiply(X_93,X_94) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(X_93,X_94),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_93,X_94)))),bind(Z0,$fot(multiply(X_93,X_94)))]]) ).

cnf(refute_0_822,plain,
    ( add(additive_identity,multiply(X_93,X_94)) != multiply(X_93,X_94)
    | add(multiply(X_93,X_94),additive_identity) = multiply(X_93,X_94) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_93,X_94),additive_identity),add(additive_identity,multiply(X_93,X_94))) )],[refute_0_820,refute_0_821]) ).

cnf(refute_0_823,plain,
    add(multiply(X_93,X_94),additive_identity) = multiply(X_93,X_94),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_93,X_94)),multiply(X_93,X_94)) )],[refute_0_108,refute_0_822]) ).

cnf(refute_0_824,plain,
    ( multiply(X_93,add(X_94,inverse(X_93))) != add(multiply(X_93,X_94),additive_identity)
    | add(multiply(X_93,X_94),additive_identity) != multiply(X_93,X_94)
    | multiply(X_93,add(X_94,inverse(X_93))) = multiply(X_93,X_94) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_93,add(X_94,inverse(X_93))),multiply(X_93,X_94)) ),[0],$fot(add(multiply(X_93,X_94),additive_identity))]]) ).

cnf(refute_0_825,plain,
    ( multiply(X_93,add(X_94,inverse(X_93))) != add(multiply(X_93,X_94),additive_identity)
    | multiply(X_93,add(X_94,inverse(X_93))) = multiply(X_93,X_94) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_93,X_94),additive_identity),multiply(X_93,X_94)) )],[refute_0_823,refute_0_824]) ).

cnf(refute_0_826,plain,
    multiply(X_93,add(X_94,inverse(X_93))) = multiply(X_93,X_94),
    inference(resolve,[$cnf( $equal(multiply(X_93,add(X_94,inverse(X_93))),add(multiply(X_93,X_94),additive_identity)) )],[refute_0_107,refute_0_825]) ).

cnf(refute_0_827,plain,
    multiply(b,add(d,inverse(b))) = multiply(b,d),
    inference(subst,[],[refute_0_826:[bind(X_93,$fot(b)),bind(X_94,$fot(d))]]) ).

cnf(refute_0_828,plain,
    multiply(add(X_65,multiplicative_identity),X_67) = add(multiply(X_65,X_67),multiply(multiplicative_identity,X_67)),
    inference(subst,[],[distributivity3:[bind(X,$fot(X_65)),bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(X_67))]]) ).

cnf(refute_0_829,plain,
    multiply(multiplicative_identity,X_67) = X_67,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(X_67))]]) ).

cnf(refute_0_830,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != add(multiply(X_65,X_67),multiply(multiplicative_identity,X_67))
    | multiply(multiplicative_identity,X_67) != X_67
    | multiply(add(X_65,multiplicative_identity),X_67) = add(multiply(X_65,X_67),X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),add(multiply(X_65,X_67),multiply(multiplicative_identity,X_67))) ),[1,1],$fot(X_67)]]) ).

cnf(refute_0_831,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != add(multiply(X_65,X_67),multiply(multiplicative_identity,X_67))
    | multiply(add(X_65,multiplicative_identity),X_67) = add(multiply(X_65,X_67),X_67) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_67),X_67) )],[refute_0_829,refute_0_830]) ).

cnf(refute_0_832,plain,
    multiply(add(X_65,multiplicative_identity),X_67) = add(multiply(X_65,X_67),X_67),
    inference(resolve,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),add(multiply(X_65,X_67),multiply(multiplicative_identity,X_67))) )],[refute_0_828,refute_0_831]) ).

cnf(refute_0_833,plain,
    add(X_65,multiplicative_identity) = multiplicative_identity,
    inference(subst,[],[refute_0_650:[bind(X_62,$fot(X_65))]]) ).

cnf(refute_0_834,plain,
    multiply(add(X_65,multiplicative_identity),X_67) = multiply(add(X_65,multiplicative_identity),X_67),
    introduced(tautology,[refl,[$fot(multiply(add(X_65,multiplicative_identity),X_67))]]) ).

cnf(refute_0_835,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != multiply(add(X_65,multiplicative_identity),X_67)
    | add(X_65,multiplicative_identity) != multiplicative_identity
    | multiply(add(X_65,multiplicative_identity),X_67) = multiply(multiplicative_identity,X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),multiply(add(X_65,multiplicative_identity),X_67)) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_836,plain,
    ( add(X_65,multiplicative_identity) != multiplicative_identity
    | multiply(add(X_65,multiplicative_identity),X_67) = multiply(multiplicative_identity,X_67) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),multiply(add(X_65,multiplicative_identity),X_67)) )],[refute_0_834,refute_0_835]) ).

cnf(refute_0_837,plain,
    multiply(add(X_65,multiplicative_identity),X_67) = multiply(multiplicative_identity,X_67),
    inference(resolve,[$cnf( $equal(add(X_65,multiplicative_identity),multiplicative_identity) )],[refute_0_833,refute_0_836]) ).

cnf(refute_0_838,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != multiply(multiplicative_identity,X_67)
    | multiply(multiplicative_identity,X_67) != X_67
    | multiply(add(X_65,multiplicative_identity),X_67) = X_67 ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(add(X_65,multiplicative_identity),X_67))),bind(Y0,$fot(multiply(multiplicative_identity,X_67))),bind(Z0,$fot(X_67))]]) ).

cnf(refute_0_839,plain,
    ( multiply(multiplicative_identity,X_67) != X_67
    | multiply(add(X_65,multiplicative_identity),X_67) = X_67 ),
    inference(resolve,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),multiply(multiplicative_identity,X_67)) )],[refute_0_837,refute_0_838]) ).

cnf(refute_0_840,plain,
    multiply(add(X_65,multiplicative_identity),X_67) = X_67,
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_67),X_67) )],[refute_0_829,refute_0_839]) ).

cnf(refute_0_841,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != X_67
    | multiply(add(X_65,multiplicative_identity),X_67) != add(multiply(X_65,X_67),X_67)
    | X_67 = add(multiply(X_65,X_67),X_67) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),add(multiply(X_65,X_67),X_67)) ),[0],$fot(X_67)]]) ).

cnf(refute_0_842,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != add(multiply(X_65,X_67),X_67)
    | X_67 = add(multiply(X_65,X_67),X_67) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),X_67) )],[refute_0_840,refute_0_841]) ).

cnf(refute_0_843,plain,
    add(multiply(X_65,X_67),X_67) = add(X_67,multiply(X_65,X_67)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(multiply(X_65,X_67))),bind(Z,$fot(X_67))]]) ).

cnf(refute_0_844,plain,
    ( X_67 != add(multiply(X_65,X_67),X_67)
    | add(multiply(X_65,X_67),X_67) != add(X_67,multiply(X_65,X_67))
    | X_67 = add(X_67,multiply(X_65,X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_67,add(X_67,multiply(X_65,X_67))) ),[0],$fot(add(multiply(X_65,X_67),X_67))]]) ).

cnf(refute_0_845,plain,
    ( X_67 != add(multiply(X_65,X_67),X_67)
    | X_67 = add(X_67,multiply(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_65,X_67),X_67),add(X_67,multiply(X_65,X_67))) )],[refute_0_843,refute_0_844]) ).

cnf(refute_0_846,plain,
    ( multiply(add(X_65,multiplicative_identity),X_67) != add(multiply(X_65,X_67),X_67)
    | X_67 = add(X_67,multiply(X_65,X_67)) ),
    inference(resolve,[$cnf( $equal(X_67,add(multiply(X_65,X_67),X_67)) )],[refute_0_842,refute_0_845]) ).

cnf(refute_0_847,plain,
    X_67 = add(X_67,multiply(X_65,X_67)),
    inference(resolve,[$cnf( $equal(multiply(add(X_65,multiplicative_identity),X_67),add(multiply(X_65,X_67),X_67)) )],[refute_0_832,refute_0_846]) ).

cnf(refute_0_848,plain,
    inverse(b) = add(inverse(b),multiply(inverse(a),inverse(b))),
    inference(subst,[],[refute_0_847:[bind(X_65,$fot(inverse(a))),bind(X_67,$fot(inverse(b)))]]) ).

cnf(refute_0_849,plain,
    ( multiply(inverse(a),inverse(b)) != d
    | inverse(b) != add(inverse(b),multiply(inverse(a),inverse(b)))
    | inverse(b) = add(inverse(b),d) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(b),add(inverse(b),multiply(inverse(a),inverse(b)))) ),[1,1],$fot(d)]]) ).

cnf(refute_0_850,plain,
    ( inverse(b) != add(inverse(b),multiply(inverse(a),inverse(b)))
    | inverse(b) = add(inverse(b),d) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),d) )],[a_inverse_times_b_inverse_is_d,refute_0_849]) ).

cnf(refute_0_851,plain,
    inverse(b) = add(inverse(b),d),
    inference(resolve,[$cnf( $equal(inverse(b),add(inverse(b),multiply(inverse(a),inverse(b)))) )],[refute_0_848,refute_0_850]) ).

cnf(refute_0_852,plain,
    add(inverse(b),d) = add(d,inverse(b)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(b))),bind(Z,$fot(d))]]) ).

cnf(refute_0_853,plain,
    ( add(inverse(b),d) != add(d,inverse(b))
    | inverse(b) != add(inverse(b),d)
    | inverse(b) = add(d,inverse(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(b),add(inverse(b),d)) ),[1],$fot(add(d,inverse(b)))]]) ).

cnf(refute_0_854,plain,
    ( inverse(b) != add(inverse(b),d)
    | inverse(b) = add(d,inverse(b)) ),
    inference(resolve,[$cnf( $equal(add(inverse(b),d),add(d,inverse(b))) )],[refute_0_852,refute_0_853]) ).

cnf(refute_0_855,plain,
    inverse(b) = add(d,inverse(b)),
    inference(resolve,[$cnf( $equal(inverse(b),add(inverse(b),d)) )],[refute_0_851,refute_0_854]) ).

cnf(refute_0_856,plain,
    ( inverse(b) != add(d,inverse(b))
    | add(d,inverse(b)) = inverse(b) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(b))),bind(Y0,$fot(add(d,inverse(b))))]]) ).

cnf(refute_0_857,plain,
    add(d,inverse(b)) = inverse(b),
    inference(resolve,[$cnf( $equal(inverse(b),add(d,inverse(b))) )],[refute_0_855,refute_0_856]) ).

cnf(refute_0_858,plain,
    ( multiply(b,add(d,inverse(b))) != multiply(b,d)
    | add(d,inverse(b)) != inverse(b)
    | multiply(b,inverse(b)) = multiply(b,d) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(d,inverse(b))),multiply(b,d)) ),[0,1],$fot(inverse(b))]]) ).

cnf(refute_0_859,plain,
    ( multiply(b,add(d,inverse(b))) != multiply(b,d)
    | multiply(b,inverse(b)) = multiply(b,d) ),
    inference(resolve,[$cnf( $equal(add(d,inverse(b)),inverse(b)) )],[refute_0_857,refute_0_858]) ).

cnf(refute_0_860,plain,
    multiply(b,inverse(b)) = multiply(b,d),
    inference(resolve,[$cnf( $equal(multiply(b,add(d,inverse(b))),multiply(b,d)) )],[refute_0_827,refute_0_859]) ).

cnf(refute_0_861,plain,
    multiply(b,inverse(b)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(b))]]) ).

cnf(refute_0_862,plain,
    ( multiply(b,inverse(b)) != multiply(b,d)
    | multiply(b,inverse(b)) != additive_identity
    | additive_identity = multiply(b,d) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(b,inverse(b)),multiply(b,d)) ),[0],$fot(additive_identity)]]) ).

cnf(refute_0_863,plain,
    ( multiply(b,inverse(b)) != multiply(b,d)
    | additive_identity = multiply(b,d) ),
    inference(resolve,[$cnf( $equal(multiply(b,inverse(b)),additive_identity) )],[refute_0_861,refute_0_862]) ).

cnf(refute_0_864,plain,
    additive_identity = multiply(b,d),
    inference(resolve,[$cnf( $equal(multiply(b,inverse(b)),multiply(b,d)) )],[refute_0_860,refute_0_863]) ).

cnf(refute_0_865,plain,
    ( additive_identity != multiply(b,d)
    | multiply(b,d) = additive_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(b,d)))]]) ).

cnf(refute_0_866,plain,
    multiply(b,d) = additive_identity,
    inference(resolve,[$cnf( $equal(additive_identity,multiply(b,d)) )],[refute_0_864,refute_0_865]) ).

cnf(refute_0_867,plain,
    ( multiply(b,d) != additive_identity
    | add(inverse(c),multiply(add(b,inverse(a)),d)) != add(inverse(c),multiply(b,d))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = add(inverse(c),additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),add(inverse(c),multiply(b,d))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_868,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),d)) != add(inverse(c),multiply(b,d))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = add(inverse(c),additive_identity) ),
    inference(resolve,[$cnf( $equal(multiply(b,d),additive_identity) )],[refute_0_866,refute_0_867]) ).

cnf(refute_0_869,plain,
    add(inverse(c),multiply(add(b,inverse(a)),d)) = add(inverse(c),additive_identity),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),add(inverse(c),multiply(b,d))) )],[refute_0_102,refute_0_868]) ).

cnf(refute_0_870,plain,
    multiply(inverse(a),add(inverse(b),inverse(inverse(a)))) = multiply(inverse(a),inverse(b)),
    inference(subst,[],[refute_0_826:[bind(X_93,$fot(inverse(a))),bind(X_94,$fot(inverse(b)))]]) ).

cnf(refute_0_871,plain,
    add(inverse(inverse(a)),multiply(inverse(a),inverse(b))) = add(inverse(b),inverse(inverse(a))),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(inverse(a))),bind(X_11,$fot(inverse(b)))]]) ).

cnf(refute_0_872,plain,
    ( multiply(inverse(a),inverse(b)) != d
    | add(inverse(inverse(a)),multiply(inverse(a),inverse(b))) != add(inverse(b),inverse(inverse(a)))
    | add(inverse(inverse(a)),d) = add(inverse(b),inverse(inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(a)),multiply(inverse(a),inverse(b))),add(inverse(b),inverse(inverse(a)))) ),[0,1],$fot(d)]]) ).

cnf(refute_0_873,plain,
    ( add(inverse(inverse(a)),multiply(inverse(a),inverse(b))) != add(inverse(b),inverse(inverse(a)))
    | add(inverse(inverse(a)),d) = add(inverse(b),inverse(inverse(a))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),d) )],[a_inverse_times_b_inverse_is_d,refute_0_872]) ).

cnf(refute_0_874,plain,
    add(inverse(inverse(a)),d) = add(inverse(b),inverse(inverse(a))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(a)),multiply(inverse(a),inverse(b))),add(inverse(b),inverse(inverse(a)))) )],[refute_0_871,refute_0_873]) ).

cnf(refute_0_875,plain,
    add(inverse(inverse(a)),d) = add(d,inverse(inverse(a))),
    inference(subst,[],[refute_0_10:[bind(X,$fot(d)),bind(Y,$fot(inverse(inverse(a))))]]) ).

cnf(refute_0_876,plain,
    ( add(inverse(inverse(a)),d) != add(d,inverse(inverse(a)))
    | add(inverse(inverse(a)),d) != add(inverse(b),inverse(inverse(a)))
    | add(d,inverse(inverse(a))) = add(inverse(b),inverse(inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(a)),d),add(inverse(b),inverse(inverse(a)))) ),[0],$fot(add(d,inverse(inverse(a))))]]) ).

cnf(refute_0_877,plain,
    ( add(inverse(inverse(a)),d) != add(inverse(b),inverse(inverse(a)))
    | add(d,inverse(inverse(a))) = add(inverse(b),inverse(inverse(a))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(a)),d),add(d,inverse(inverse(a)))) )],[refute_0_875,refute_0_876]) ).

cnf(refute_0_878,plain,
    add(d,inverse(inverse(a))) = add(inverse(b),inverse(inverse(a))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(a)),d),add(inverse(b),inverse(inverse(a)))) )],[refute_0_874,refute_0_877]) ).

cnf(refute_0_879,plain,
    ( add(d,inverse(inverse(a))) != add(inverse(b),inverse(inverse(a)))
    | add(inverse(b),inverse(inverse(a))) = add(d,inverse(inverse(a))) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(d,inverse(inverse(a))))),bind(Y0,$fot(add(inverse(b),inverse(inverse(a)))))]]) ).

cnf(refute_0_880,plain,
    add(inverse(b),inverse(inverse(a))) = add(d,inverse(inverse(a))),
    inference(resolve,[$cnf( $equal(add(d,inverse(inverse(a))),add(inverse(b),inverse(inverse(a)))) )],[refute_0_878,refute_0_879]) ).

cnf(refute_0_881,plain,
    ( multiply(inverse(a),add(inverse(b),inverse(inverse(a)))) != multiply(inverse(a),inverse(b))
    | add(inverse(b),inverse(inverse(a))) != add(d,inverse(inverse(a)))
    | multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(inverse(a),inverse(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a),add(inverse(b),inverse(inverse(a)))),multiply(inverse(a),inverse(b))) ),[0,1],$fot(add(d,inverse(inverse(a))))]]) ).

cnf(refute_0_882,plain,
    ( multiply(inverse(a),add(inverse(b),inverse(inverse(a)))) != multiply(inverse(a),inverse(b))
    | multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(inverse(a),inverse(b)) ),
    inference(resolve,[$cnf( $equal(add(inverse(b),inverse(inverse(a))),add(d,inverse(inverse(a)))) )],[refute_0_880,refute_0_881]) ).

cnf(refute_0_883,plain,
    multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(inverse(a),inverse(b)),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),add(inverse(b),inverse(inverse(a)))),multiply(inverse(a),inverse(b))) )],[refute_0_870,refute_0_882]) ).

cnf(refute_0_884,plain,
    multiply(add(X_69,X_69),inverse(X_68)) = multiply(inverse(X_68),add(X_69,X_69)),
    inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_69,X_69))),bind(Y,$fot(inverse(X_68)))]]) ).

cnf(refute_0_885,plain,
    multiply(add(inverse(X_26),inverse(X_26)),X_67) = add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)),
    inference(subst,[],[distributivity3:[bind(X,$fot(inverse(X_26))),bind(Y,$fot(inverse(X_26))),bind(Z,$fot(X_67))]]) ).

cnf(refute_0_886,plain,
    add(inverse(X_26),multiply(X_26,inverse(X_26))) = add(inverse(X_26),inverse(X_26)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(X_26)),bind(X_11,$fot(inverse(X_26)))]]) ).

cnf(refute_0_887,plain,
    multiply(X_26,inverse(X_26)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_26))]]) ).

cnf(refute_0_888,plain,
    ( multiply(X_26,inverse(X_26)) != additive_identity
    | add(inverse(X_26),multiply(X_26,inverse(X_26))) != add(inverse(X_26),inverse(X_26))
    | add(inverse(X_26),additive_identity) = add(inverse(X_26),inverse(X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_26),multiply(X_26,inverse(X_26))),add(inverse(X_26),inverse(X_26))) ),[0,1],$fot(additive_identity)]]) ).

cnf(refute_0_889,plain,
    ( add(inverse(X_26),multiply(X_26,inverse(X_26))) != add(inverse(X_26),inverse(X_26))
    | add(inverse(X_26),additive_identity) = add(inverse(X_26),inverse(X_26)) ),
    inference(resolve,[$cnf( $equal(multiply(X_26,inverse(X_26)),additive_identity) )],[refute_0_887,refute_0_888]) ).

cnf(refute_0_890,plain,
    add(inverse(X_26),additive_identity) = add(inverse(X_26),inverse(X_26)),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),multiply(X_26,inverse(X_26))),add(inverse(X_26),inverse(X_26))) )],[refute_0_886,refute_0_889]) ).

cnf(refute_0_891,plain,
    add(inverse(X_26),additive_identity) = inverse(X_26),
    inference(subst,[],[additive_id1:[bind(X,$fot(inverse(X_26)))]]) ).

cnf(refute_0_892,plain,
    ( add(inverse(X_26),additive_identity) != add(inverse(X_26),inverse(X_26))
    | add(inverse(X_26),additive_identity) != inverse(X_26)
    | inverse(X_26) = add(inverse(X_26),inverse(X_26)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_26),additive_identity),add(inverse(X_26),inverse(X_26))) ),[0],$fot(inverse(X_26))]]) ).

cnf(refute_0_893,plain,
    ( add(inverse(X_26),additive_identity) != add(inverse(X_26),inverse(X_26))
    | inverse(X_26) = add(inverse(X_26),inverse(X_26)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),additive_identity),inverse(X_26)) )],[refute_0_891,refute_0_892]) ).

cnf(refute_0_894,plain,
    inverse(X_26) = add(inverse(X_26),inverse(X_26)),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),additive_identity),add(inverse(X_26),inverse(X_26))) )],[refute_0_890,refute_0_893]) ).

cnf(refute_0_895,plain,
    ( inverse(X_26) != add(inverse(X_26),inverse(X_26))
    | add(inverse(X_26),inverse(X_26)) = inverse(X_26) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(X_26))),bind(Y0,$fot(add(inverse(X_26),inverse(X_26))))]]) ).

cnf(refute_0_896,plain,
    add(inverse(X_26),inverse(X_26)) = inverse(X_26),
    inference(resolve,[$cnf( $equal(inverse(X_26),add(inverse(X_26),inverse(X_26))) )],[refute_0_894,refute_0_895]) ).

cnf(refute_0_897,plain,
    ( multiply(add(inverse(X_26),inverse(X_26)),X_67) != add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))
    | add(inverse(X_26),inverse(X_26)) != inverse(X_26)
    | multiply(inverse(X_26),X_67) = add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_26),inverse(X_26)),X_67),add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))) ),[0,0],$fot(inverse(X_26))]]) ).

cnf(refute_0_898,plain,
    ( multiply(add(inverse(X_26),inverse(X_26)),X_67) != add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))
    | multiply(inverse(X_26),X_67) = add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_26),inverse(X_26)),inverse(X_26)) )],[refute_0_896,refute_0_897]) ).

cnf(refute_0_899,plain,
    multiply(inverse(X_26),X_67) = add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)),
    inference(resolve,[$cnf( $equal(multiply(add(inverse(X_26),inverse(X_26)),X_67),add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))) )],[refute_0_885,refute_0_898]) ).

cnf(refute_0_900,plain,
    add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)) = multiply(inverse(X_26),add(X_67,X_67)),
    inference(subst,[],[refute_0_202:[bind(X,$fot(inverse(X_26))),bind(Y,$fot(X_67)),bind(Z,$fot(X_67))]]) ).

cnf(refute_0_901,plain,
    ( multiply(inverse(X_26),X_67) != add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))
    | add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)) != multiply(inverse(X_26),add(X_67,X_67))
    | multiply(inverse(X_26),X_67) = multiply(inverse(X_26),add(X_67,X_67)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_26),X_67),multiply(inverse(X_26),add(X_67,X_67))) ),[0],$fot(add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)))]]) ).

cnf(refute_0_902,plain,
    ( multiply(inverse(X_26),X_67) != add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))
    | multiply(inverse(X_26),X_67) = multiply(inverse(X_26),add(X_67,X_67)) ),
    inference(resolve,[$cnf( $equal(add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67)),multiply(inverse(X_26),add(X_67,X_67))) )],[refute_0_900,refute_0_901]) ).

cnf(refute_0_903,plain,
    multiply(inverse(X_26),X_67) = multiply(inverse(X_26),add(X_67,X_67)),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_26),X_67),add(multiply(inverse(X_26),X_67),multiply(inverse(X_26),X_67))) )],[refute_0_899,refute_0_902]) ).

cnf(refute_0_904,plain,
    multiply(inverse(X_68),X_69) = multiply(inverse(X_68),add(X_69,X_69)),
    inference(subst,[],[refute_0_903:[bind(X_26,$fot(X_68)),bind(X_67,$fot(X_69))]]) ).

cnf(refute_0_905,plain,
    ( multiply(inverse(X_68),X_69) != multiply(inverse(X_68),add(X_69,X_69))
    | multiply(inverse(X_68),add(X_69,X_69)) = multiply(inverse(X_68),X_69) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(inverse(X_68),X_69))),bind(Y0,$fot(multiply(inverse(X_68),add(X_69,X_69))))]]) ).

cnf(refute_0_906,plain,
    multiply(inverse(X_68),add(X_69,X_69)) = multiply(inverse(X_68),X_69),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_68),X_69),multiply(inverse(X_68),add(X_69,X_69))) )],[refute_0_904,refute_0_905]) ).

cnf(refute_0_907,plain,
    ( multiply(add(X_69,X_69),inverse(X_68)) != multiply(inverse(X_68),add(X_69,X_69))
    | multiply(inverse(X_68),add(X_69,X_69)) != multiply(inverse(X_68),X_69)
    | multiply(add(X_69,X_69),inverse(X_68)) = multiply(inverse(X_68),X_69) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(inverse(X_68),X_69)) ),[0],$fot(multiply(inverse(X_68),add(X_69,X_69)))]]) ).

cnf(refute_0_908,plain,
    ( multiply(add(X_69,X_69),inverse(X_68)) != multiply(inverse(X_68),add(X_69,X_69))
    | multiply(add(X_69,X_69),inverse(X_68)) = multiply(inverse(X_68),X_69) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(X_68),add(X_69,X_69)),multiply(inverse(X_68),X_69)) )],[refute_0_906,refute_0_907]) ).

cnf(refute_0_909,plain,
    multiply(add(X_69,X_69),inverse(X_68)) = multiply(inverse(X_68),X_69),
    inference(resolve,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(inverse(X_68),add(X_69,X_69))) )],[refute_0_884,refute_0_908]) ).

cnf(refute_0_910,plain,
    multiply(inverse(additive_identity),X_69) = multiply(inverse(additive_identity),add(X_69,X_69)),
    inference(subst,[],[refute_0_903:[bind(X_26,$fot(additive_identity)),bind(X_67,$fot(X_69))]]) ).

cnf(refute_0_911,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(inverse(additive_identity),add(X_69,X_69))
    | inverse(additive_identity) != multiplicative_identity
    | multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,add(X_69,X_69)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(inverse(additive_identity),add(X_69,X_69))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_912,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(inverse(additive_identity),add(X_69,X_69))
    | multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,add(X_69,X_69)) ),
    inference(resolve,[$cnf( $equal(inverse(additive_identity),multiplicative_identity) )],[refute_0_368,refute_0_911]) ).

cnf(refute_0_913,plain,
    multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,add(X_69,X_69)),
    inference(resolve,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(inverse(additive_identity),add(X_69,X_69))) )],[refute_0_910,refute_0_912]) ).

cnf(refute_0_914,plain,
    multiply(multiplicative_identity,X_69) = X_69,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(X_69))]]) ).

cnf(refute_0_915,plain,
    multiply(inverse(additive_identity),X_69) = multiply(inverse(additive_identity),X_69),
    introduced(tautology,[refl,[$fot(multiply(inverse(additive_identity),X_69))]]) ).

cnf(refute_0_916,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(inverse(additive_identity),X_69)
    | inverse(additive_identity) != multiplicative_identity
    | multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(inverse(additive_identity),X_69)) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_917,plain,
    ( inverse(additive_identity) != multiplicative_identity
    | multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,X_69) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(inverse(additive_identity),X_69)) )],[refute_0_915,refute_0_916]) ).

cnf(refute_0_918,plain,
    multiply(inverse(additive_identity),X_69) = multiply(multiplicative_identity,X_69),
    inference(resolve,[$cnf( $equal(inverse(additive_identity),multiplicative_identity) )],[refute_0_368,refute_0_917]) ).

cnf(refute_0_919,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(multiplicative_identity,X_69)
    | multiply(multiplicative_identity,X_69) != X_69
    | multiply(inverse(additive_identity),X_69) = X_69 ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(additive_identity),X_69))),bind(Y0,$fot(multiply(multiplicative_identity,X_69))),bind(Z0,$fot(X_69))]]) ).

cnf(refute_0_920,plain,
    ( multiply(multiplicative_identity,X_69) != X_69
    | multiply(inverse(additive_identity),X_69) = X_69 ),
    inference(resolve,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(multiplicative_identity,X_69)) )],[refute_0_918,refute_0_919]) ).

cnf(refute_0_921,plain,
    multiply(inverse(additive_identity),X_69) = X_69,
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_69),X_69) )],[refute_0_914,refute_0_920]) ).

cnf(refute_0_922,plain,
    ( multiply(inverse(additive_identity),X_69) != X_69
    | multiply(inverse(additive_identity),X_69) != multiply(multiplicative_identity,add(X_69,X_69))
    | X_69 = multiply(multiplicative_identity,add(X_69,X_69)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(multiplicative_identity,add(X_69,X_69))) ),[0],$fot(X_69)]]) ).

cnf(refute_0_923,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(multiplicative_identity,add(X_69,X_69))
    | X_69 = multiply(multiplicative_identity,add(X_69,X_69)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(additive_identity),X_69),X_69) )],[refute_0_921,refute_0_922]) ).

cnf(refute_0_924,plain,
    multiply(multiplicative_identity,add(X_69,X_69)) = add(X_69,X_69),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_69,X_69)))]]) ).

cnf(refute_0_925,plain,
    ( X_69 != multiply(multiplicative_identity,add(X_69,X_69))
    | multiply(multiplicative_identity,add(X_69,X_69)) != add(X_69,X_69)
    | X_69 = add(X_69,X_69) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_69,add(X_69,X_69)) ),[0],$fot(multiply(multiplicative_identity,add(X_69,X_69)))]]) ).

cnf(refute_0_926,plain,
    ( X_69 != multiply(multiplicative_identity,add(X_69,X_69))
    | X_69 = add(X_69,X_69) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_69,X_69)),add(X_69,X_69)) )],[refute_0_924,refute_0_925]) ).

cnf(refute_0_927,plain,
    ( multiply(inverse(additive_identity),X_69) != multiply(multiplicative_identity,add(X_69,X_69))
    | X_69 = add(X_69,X_69) ),
    inference(resolve,[$cnf( $equal(X_69,multiply(multiplicative_identity,add(X_69,X_69))) )],[refute_0_923,refute_0_926]) ).

cnf(refute_0_928,plain,
    X_69 = add(X_69,X_69),
    inference(resolve,[$cnf( $equal(multiply(inverse(additive_identity),X_69),multiply(multiplicative_identity,add(X_69,X_69))) )],[refute_0_913,refute_0_927]) ).

cnf(refute_0_929,plain,
    ( X_69 != add(X_69,X_69)
    | add(X_69,X_69) = X_69 ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_69)),bind(Y0,$fot(add(X_69,X_69)))]]) ).

cnf(refute_0_930,plain,
    add(X_69,X_69) = X_69,
    inference(resolve,[$cnf( $equal(X_69,add(X_69,X_69)) )],[refute_0_928,refute_0_929]) ).

cnf(refute_0_931,plain,
    multiply(add(X_69,X_69),inverse(X_68)) = multiply(add(X_69,X_69),inverse(X_68)),
    introduced(tautology,[refl,[$fot(multiply(add(X_69,X_69),inverse(X_68)))]]) ).

cnf(refute_0_932,plain,
    ( multiply(add(X_69,X_69),inverse(X_68)) != multiply(add(X_69,X_69),inverse(X_68))
    | add(X_69,X_69) != X_69
    | multiply(add(X_69,X_69),inverse(X_68)) = multiply(X_69,inverse(X_68)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(add(X_69,X_69),inverse(X_68))) ),[1,0],$fot(X_69)]]) ).

cnf(refute_0_933,plain,
    ( add(X_69,X_69) != X_69
    | multiply(add(X_69,X_69),inverse(X_68)) = multiply(X_69,inverse(X_68)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(add(X_69,X_69),inverse(X_68))) )],[refute_0_931,refute_0_932]) ).

cnf(refute_0_934,plain,
    multiply(add(X_69,X_69),inverse(X_68)) = multiply(X_69,inverse(X_68)),
    inference(resolve,[$cnf( $equal(add(X_69,X_69),X_69) )],[refute_0_930,refute_0_933]) ).

cnf(refute_0_935,plain,
    ( multiply(add(X_69,X_69),inverse(X_68)) != multiply(X_69,inverse(X_68))
    | multiply(add(X_69,X_69),inverse(X_68)) != multiply(inverse(X_68),X_69)
    | multiply(X_69,inverse(X_68)) = multiply(inverse(X_68),X_69) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(inverse(X_68),X_69)) ),[0],$fot(multiply(X_69,inverse(X_68)))]]) ).

cnf(refute_0_936,plain,
    ( multiply(add(X_69,X_69),inverse(X_68)) != multiply(inverse(X_68),X_69)
    | multiply(X_69,inverse(X_68)) = multiply(inverse(X_68),X_69) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(X_69,inverse(X_68))) )],[refute_0_934,refute_0_935]) ).

cnf(refute_0_937,plain,
    multiply(X_69,inverse(X_68)) = multiply(inverse(X_68),X_69),
    inference(resolve,[$cnf( $equal(multiply(add(X_69,X_69),inverse(X_68)),multiply(inverse(X_68),X_69)) )],[refute_0_909,refute_0_936]) ).

cnf(refute_0_938,plain,
    ( multiply(X_69,inverse(X_68)) != multiply(inverse(X_68),X_69)
    | multiply(inverse(X_68),X_69) = multiply(X_69,inverse(X_68)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(X_69,inverse(X_68)))),bind(Y0,$fot(multiply(inverse(X_68),X_69)))]]) ).

cnf(refute_0_939,plain,
    multiply(inverse(X_68),X_69) = multiply(X_69,inverse(X_68)),
    inference(resolve,[$cnf( $equal(multiply(X_69,inverse(X_68)),multiply(inverse(X_68),X_69)) )],[refute_0_937,refute_0_938]) ).

cnf(refute_0_940,plain,
    multiply(inverse(a),d) = multiply(d,inverse(a)),
    inference(subst,[],[refute_0_939:[bind(X_68,$fot(a)),bind(X_69,$fot(d))]]) ).

cnf(refute_0_941,plain,
    multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(inverse(a),d),
    inference(subst,[],[refute_0_826:[bind(X_93,$fot(inverse(a))),bind(X_94,$fot(d))]]) ).

cnf(refute_0_942,plain,
    ( multiply(inverse(a),add(d,inverse(inverse(a)))) != multiply(inverse(a),d)
    | multiply(inverse(a),d) != multiply(d,inverse(a))
    | multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(d,inverse(a)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(a),add(d,inverse(inverse(a)))))),bind(Y0,$fot(multiply(inverse(a),d))),bind(Z0,$fot(multiply(d,inverse(a))))]]) ).

cnf(refute_0_943,plain,
    ( multiply(inverse(a),d) != multiply(d,inverse(a))
    | multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(d,inverse(a)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),add(d,inverse(inverse(a)))),multiply(inverse(a),d)) )],[refute_0_941,refute_0_942]) ).

cnf(refute_0_944,plain,
    multiply(inverse(a),add(d,inverse(inverse(a)))) = multiply(d,inverse(a)),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),d),multiply(d,inverse(a))) )],[refute_0_940,refute_0_943]) ).

cnf(refute_0_945,plain,
    ( multiply(inverse(a),add(d,inverse(inverse(a)))) != multiply(d,inverse(a))
    | multiply(inverse(a),add(d,inverse(inverse(a)))) != multiply(inverse(a),inverse(b))
    | multiply(d,inverse(a)) = multiply(inverse(a),inverse(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(a),add(d,inverse(inverse(a)))),multiply(inverse(a),inverse(b))) ),[0],$fot(multiply(d,inverse(a)))]]) ).

cnf(refute_0_946,plain,
    ( multiply(inverse(a),add(d,inverse(inverse(a)))) != multiply(inverse(a),inverse(b))
    | multiply(d,inverse(a)) = multiply(inverse(a),inverse(b)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),add(d,inverse(inverse(a)))),multiply(d,inverse(a))) )],[refute_0_944,refute_0_945]) ).

cnf(refute_0_947,plain,
    ( multiply(d,inverse(a)) != multiply(inverse(a),inverse(b))
    | multiply(inverse(a),inverse(b)) != d
    | multiply(d,inverse(a)) = d ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(d,inverse(a)),d) ),[0],$fot(multiply(inverse(a),inverse(b)))]]) ).

cnf(refute_0_948,plain,
    ( multiply(d,inverse(a)) != multiply(inverse(a),inverse(b))
    | multiply(d,inverse(a)) = d ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),d) )],[a_inverse_times_b_inverse_is_d,refute_0_947]) ).

cnf(refute_0_949,plain,
    ( multiply(inverse(a),add(d,inverse(inverse(a)))) != multiply(inverse(a),inverse(b))
    | multiply(d,inverse(a)) = d ),
    inference(resolve,[$cnf( $equal(multiply(d,inverse(a)),multiply(inverse(a),inverse(b))) )],[refute_0_946,refute_0_948]) ).

cnf(refute_0_950,plain,
    multiply(d,inverse(a)) = d,
    inference(resolve,[$cnf( $equal(multiply(inverse(a),add(d,inverse(inverse(a)))),multiply(inverse(a),inverse(b))) )],[refute_0_883,refute_0_949]) ).

cnf(refute_0_951,plain,
    ( multiply(d,inverse(a)) != d
    | multiply(inverse(a),d) != multiply(d,inverse(a))
    | multiply(inverse(a),d) = d ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(a),d))),bind(Y0,$fot(multiply(d,inverse(a)))),bind(Z0,$fot(d))]]) ).

cnf(refute_0_952,plain,
    ( multiply(d,inverse(a)) != d
    | multiply(inverse(a),d) = d ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),d),multiply(d,inverse(a))) )],[refute_0_940,refute_0_951]) ).

cnf(refute_0_953,plain,
    multiply(inverse(a),d) = d,
    inference(resolve,[$cnf( $equal(multiply(d,inverse(a)),d) )],[refute_0_950,refute_0_952]) ).

cnf(refute_0_954,plain,
    multiply(add(b,Y),d) = add(multiply(b,d),multiply(Y,d)),
    inference(subst,[],[distributivity3:[bind(X,$fot(b)),bind(Z,$fot(d))]]) ).

cnf(refute_0_955,plain,
    ( multiply(add(b,Y),d) != add(multiply(b,d),multiply(Y,d))
    | multiply(b,d) != additive_identity
    | multiply(add(b,Y),d) = add(additive_identity,multiply(Y,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,Y),d),add(multiply(b,d),multiply(Y,d))) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_956,plain,
    ( multiply(add(b,Y),d) != add(multiply(b,d),multiply(Y,d))
    | multiply(add(b,Y),d) = add(additive_identity,multiply(Y,d)) ),
    inference(resolve,[$cnf( $equal(multiply(b,d),additive_identity) )],[refute_0_866,refute_0_955]) ).

cnf(refute_0_957,plain,
    multiply(add(b,Y),d) = add(additive_identity,multiply(Y,d)),
    inference(resolve,[$cnf( $equal(multiply(add(b,Y),d),add(multiply(b,d),multiply(Y,d))) )],[refute_0_954,refute_0_956]) ).

cnf(refute_0_958,plain,
    multiply(add(b,Y),d) = multiply(d,add(b,Y)),
    inference(subst,[],[refute_0_44:[bind(X,$fot(d)),bind(Y,$fot(add(b,Y)))]]) ).

cnf(refute_0_959,plain,
    ( multiply(add(b,Y),d) != multiply(d,add(b,Y))
    | multiply(add(b,Y),d) != add(additive_identity,multiply(Y,d))
    | multiply(d,add(b,Y)) = add(additive_identity,multiply(Y,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(b,Y),d),add(additive_identity,multiply(Y,d))) ),[0],$fot(multiply(d,add(b,Y)))]]) ).

cnf(refute_0_960,plain,
    ( multiply(add(b,Y),d) != add(additive_identity,multiply(Y,d))
    | multiply(d,add(b,Y)) = add(additive_identity,multiply(Y,d)) ),
    inference(resolve,[$cnf( $equal(multiply(add(b,Y),d),multiply(d,add(b,Y))) )],[refute_0_958,refute_0_959]) ).

cnf(refute_0_961,plain,
    add(additive_identity,multiply(Y,d)) = multiply(Y,d),
    inference(subst,[],[additive_id2:[bind(X,$fot(multiply(Y,d)))]]) ).

cnf(refute_0_962,plain,
    ( multiply(d,add(b,Y)) != add(additive_identity,multiply(Y,d))
    | add(additive_identity,multiply(Y,d)) != multiply(Y,d)
    | multiply(d,add(b,Y)) = multiply(Y,d) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(d,add(b,Y)),multiply(Y,d)) ),[0],$fot(add(additive_identity,multiply(Y,d)))]]) ).

cnf(refute_0_963,plain,
    ( multiply(d,add(b,Y)) != add(additive_identity,multiply(Y,d))
    | multiply(d,add(b,Y)) = multiply(Y,d) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Y,d)),multiply(Y,d)) )],[refute_0_961,refute_0_962]) ).

cnf(refute_0_964,plain,
    ( multiply(add(b,Y),d) != add(additive_identity,multiply(Y,d))
    | multiply(d,add(b,Y)) = multiply(Y,d) ),
    inference(resolve,[$cnf( $equal(multiply(d,add(b,Y)),add(additive_identity,multiply(Y,d))) )],[refute_0_960,refute_0_963]) ).

cnf(refute_0_965,plain,
    multiply(d,add(b,Y)) = multiply(Y,d),
    inference(resolve,[$cnf( $equal(multiply(add(b,Y),d),add(additive_identity,multiply(Y,d))) )],[refute_0_957,refute_0_964]) ).

cnf(refute_0_966,plain,
    multiply(d,add(b,inverse(a))) = multiply(inverse(a),d),
    inference(subst,[],[refute_0_965:[bind(Y,$fot(inverse(a)))]]) ).

cnf(refute_0_967,plain,
    ( multiply(d,add(b,inverse(a))) != multiply(inverse(a),d)
    | multiply(inverse(a),d) != d
    | multiply(d,add(b,inverse(a))) = d ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(d,add(b,inverse(a))))),bind(Y0,$fot(multiply(inverse(a),d))),bind(Z0,$fot(d))]]) ).

cnf(refute_0_968,plain,
    ( multiply(inverse(a),d) != d
    | multiply(d,add(b,inverse(a))) = d ),
    inference(resolve,[$cnf( $equal(multiply(d,add(b,inverse(a))),multiply(inverse(a),d)) )],[refute_0_966,refute_0_967]) ).

cnf(refute_0_969,plain,
    multiply(d,add(b,inverse(a))) = d,
    inference(resolve,[$cnf( $equal(multiply(inverse(a),d),d) )],[refute_0_953,refute_0_968]) ).

cnf(refute_0_970,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = multiply(add(b,inverse(a)),add(inverse(c),add(b,inverse(a)))),
    inference(subst,[],[refute_0_114:[bind(X_11,$fot(inverse(c))),bind(X_12,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_971,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != multiply(add(b,inverse(a)),add(inverse(c),add(b,inverse(a))))
    | add(inverse(c),add(b,inverse(a))) != add(b,inverse(c))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = multiply(add(b,inverse(a)),add(b,inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),multiply(add(b,inverse(a)),add(inverse(c),add(b,inverse(a))))) ),[1,1],$fot(add(b,inverse(c)))]]) ).

cnf(refute_0_972,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != multiply(add(b,inverse(a)),add(inverse(c),add(b,inverse(a))))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = multiply(add(b,inverse(a)),add(b,inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),add(b,inverse(a))),add(b,inverse(c))) )],[refute_0_79,refute_0_971]) ).

cnf(refute_0_973,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = multiply(add(b,inverse(a)),add(b,inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),multiply(add(b,inverse(a)),add(inverse(c),add(b,inverse(a))))) )],[refute_0_970,refute_0_972]) ).

cnf(refute_0_974,plain,
    ( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
    | multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).

cnf(refute_0_975,plain,
    multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
    inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity2,refute_0_974]) ).

cnf(refute_0_976,plain,
    multiply(add(b,inverse(a)),add(b,inverse(c))) = add(b,multiply(inverse(a),inverse(c))),
    inference(subst,[],[refute_0_975:[bind(X,$fot(b)),bind(Y,$fot(inverse(a))),bind(Z,$fot(inverse(c)))]]) ).

cnf(refute_0_977,plain,
    ( multiply(add(b,inverse(a)),add(b,inverse(c))) != add(b,multiply(inverse(a),inverse(c)))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != multiply(add(b,inverse(a)),add(b,inverse(c)))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,multiply(inverse(a),inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),multiply(add(b,inverse(a)),add(b,inverse(c)))) ),[1],$fot(add(b,multiply(inverse(a),inverse(c))))]]) ).

cnf(refute_0_978,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != multiply(add(b,inverse(a)),add(b,inverse(c)))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,multiply(inverse(a),inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiply(add(b,inverse(a)),add(b,inverse(c))),add(b,multiply(inverse(a),inverse(c)))) )],[refute_0_976,refute_0_977]) ).

cnf(refute_0_979,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,multiply(inverse(a),inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),multiply(add(b,inverse(a)),add(b,inverse(c)))) )],[refute_0_973,refute_0_978]) ).

cnf(refute_0_980,plain,
    add(additive_identity,add(b,inverse(a))) = add(b,inverse(a)),
    inference(subst,[],[additive_id2:[bind(X,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_981,plain,
    multiply(additive_identity,inverse(c)) = additive_identity,
    inference(subst,[],[refute_0_738:[bind(X_10,$fot(inverse(c)))]]) ).

cnf(refute_0_982,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),
    introduced(tautology,[refl,[$fot(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))))]]) ).

cnf(refute_0_983,plain,
    ( multiply(additive_identity,inverse(c)) != additive_identity
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != add(multiply(additive_identity,inverse(c)),add(b,inverse(a)))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(additive_identity,add(b,inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(multiply(additive_identity,inverse(c)),add(b,inverse(a)))) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_984,plain,
    ( multiply(additive_identity,inverse(c)) != additive_identity
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(additive_identity,add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(multiply(additive_identity,inverse(c)),add(b,inverse(a)))) )],[refute_0_982,refute_0_983]) ).

cnf(refute_0_985,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(additive_identity,add(b,inverse(a))),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,inverse(c)),additive_identity) )],[refute_0_981,refute_0_984]) ).

cnf(refute_0_986,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != add(additive_identity,add(b,inverse(a)))
    | add(additive_identity,add(b,inverse(a))) != add(b,inverse(a))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,inverse(a)) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))))),bind(Y0,$fot(add(additive_identity,add(b,inverse(a))))),bind(Z0,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_987,plain,
    ( add(additive_identity,add(b,inverse(a))) != add(b,inverse(a))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,inverse(a)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(additive_identity,add(b,inverse(a)))) )],[refute_0_985,refute_0_986]) ).

cnf(refute_0_988,plain,
    add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) = add(b,inverse(a)),
    inference(resolve,[$cnf( $equal(add(additive_identity,add(b,inverse(a))),add(b,inverse(a))) )],[refute_0_980,refute_0_987]) ).

cnf(refute_0_989,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != add(b,multiply(inverse(a),inverse(c)))
    | add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != add(b,inverse(a))
    | add(b,inverse(a)) = add(b,multiply(inverse(a),inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(b,multiply(inverse(a),inverse(c)))) ),[0],$fot(add(b,inverse(a)))]]) ).

cnf(refute_0_990,plain,
    ( add(multiply(additive_identity,inverse(c)),add(b,inverse(a))) != add(b,multiply(inverse(a),inverse(c)))
    | add(b,inverse(a)) = add(b,multiply(inverse(a),inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(b,inverse(a))) )],[refute_0_988,refute_0_989]) ).

cnf(refute_0_991,plain,
    add(b,inverse(a)) = add(b,multiply(inverse(a),inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(c)),add(b,inverse(a))),add(b,multiply(inverse(a),inverse(c)))) )],[refute_0_979,refute_0_990]) ).

cnf(refute_0_992,plain,
    multiply(inverse(c),add(inverse(a),inverse(inverse(c)))) = multiply(inverse(c),inverse(a)),
    inference(subst,[],[refute_0_826:[bind(X_93,$fot(inverse(c))),bind(X_94,$fot(inverse(a)))]]) ).

cnf(refute_0_993,plain,
    add(inverse(a),multiply(a,inverse(inverse(c)))) = add(inverse(inverse(c)),inverse(a)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(a)),bind(X_11,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_994,plain,
    multiply(a,add(c,X_95)) = add(multiply(a,c),multiply(a,X_95)),
    inference(subst,[],[distributivity4:[bind(X,$fot(a)),bind(Y,$fot(c)),bind(Z,$fot(X_95))]]) ).

cnf(refute_0_995,plain,
    add(a,multiply(b,X_34)) = multiply(add(a,b),add(a,X_34)),
    inference(subst,[],[distributivity2:[bind(X,$fot(a)),bind(Y,$fot(b)),bind(Z,$fot(X_34))]]) ).

cnf(refute_0_996,plain,
    ( add(a,multiply(b,X_34)) != multiply(add(a,b),add(a,X_34))
    | add(a,b) != c
    | add(a,multiply(b,X_34)) = multiply(c,add(a,X_34)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(a,multiply(b,X_34)),multiply(add(a,b),add(a,X_34))) ),[1,0],$fot(c)]]) ).

cnf(refute_0_997,plain,
    ( add(a,multiply(b,X_34)) != multiply(add(a,b),add(a,X_34))
    | add(a,multiply(b,X_34)) = multiply(c,add(a,X_34)) ),
    inference(resolve,[$cnf( $equal(add(a,b),c) )],[a_plus_b_is_c,refute_0_996]) ).

cnf(refute_0_998,plain,
    add(a,multiply(b,X_34)) = multiply(c,add(a,X_34)),
    inference(resolve,[$cnf( $equal(add(a,multiply(b,X_34)),multiply(add(a,b),add(a,X_34))) )],[refute_0_995,refute_0_997]) ).

cnf(refute_0_999,plain,
    add(a,multiply(b,a)) = multiply(c,add(a,a)),
    inference(subst,[],[refute_0_998:[bind(X_34,$fot(a))]]) ).

cnf(refute_0_1000,plain,
    a = add(a,a),
    inference(subst,[],[refute_0_928:[bind(X_69,$fot(a))]]) ).

cnf(refute_0_1001,plain,
    ( a != add(a,a)
    | add(a,a) = a ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(a)),bind(Y0,$fot(add(a,a)))]]) ).

cnf(refute_0_1002,plain,
    add(a,a) = a,
    inference(resolve,[$cnf( $equal(a,add(a,a)) )],[refute_0_1000,refute_0_1001]) ).

cnf(refute_0_1003,plain,
    ( add(a,multiply(b,a)) != multiply(c,add(a,a))
    | add(a,a) != a
    | add(a,multiply(b,a)) = multiply(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(add(a,multiply(b,a)),multiply(c,add(a,a))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1004,plain,
    ( add(a,multiply(b,a)) != multiply(c,add(a,a))
    | add(a,multiply(b,a)) = multiply(c,a) ),
    inference(resolve,[$cnf( $equal(add(a,a),a) )],[refute_0_1002,refute_0_1003]) ).

cnf(refute_0_1005,plain,
    add(a,multiply(b,a)) = multiply(c,a),
    inference(resolve,[$cnf( $equal(add(a,multiply(b,a)),multiply(c,add(a,a))) )],[refute_0_999,refute_0_1004]) ).

cnf(refute_0_1006,plain,
    ( X_67 != add(X_67,multiply(X_65,X_67))
    | add(X_67,multiply(X_65,X_67)) = X_67 ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(X_67)),bind(Y0,$fot(add(X_67,multiply(X_65,X_67))))]]) ).

cnf(refute_0_1007,plain,
    add(X_67,multiply(X_65,X_67)) = X_67,
    inference(resolve,[$cnf( $equal(X_67,add(X_67,multiply(X_65,X_67))) )],[refute_0_847,refute_0_1006]) ).

cnf(refute_0_1008,plain,
    add(a,multiply(b,a)) = a,
    inference(subst,[],[refute_0_1007:[bind(X_65,$fot(b)),bind(X_67,$fot(a))]]) ).

cnf(refute_0_1009,plain,
    ( add(a,multiply(b,a)) != multiply(c,a)
    | add(a,multiply(b,a)) != a
    | a = multiply(c,a) ),
    introduced(tautology,[equality,[$cnf( $equal(add(a,multiply(b,a)),multiply(c,a)) ),[0],$fot(a)]]) ).

cnf(refute_0_1010,plain,
    ( add(a,multiply(b,a)) != multiply(c,a)
    | a = multiply(c,a) ),
    inference(resolve,[$cnf( $equal(add(a,multiply(b,a)),a) )],[refute_0_1008,refute_0_1009]) ).

cnf(refute_0_1011,plain,
    multiply(c,a) = multiply(a,c),
    inference(subst,[],[refute_0_44:[bind(X,$fot(a)),bind(Y,$fot(c))]]) ).

cnf(refute_0_1012,plain,
    ( multiply(c,a) != multiply(a,c)
    | a != multiply(c,a)
    | a = multiply(a,c) ),
    introduced(tautology,[equality,[$cnf( $equal(a,multiply(c,a)) ),[1],$fot(multiply(a,c))]]) ).

cnf(refute_0_1013,plain,
    ( a != multiply(c,a)
    | a = multiply(a,c) ),
    inference(resolve,[$cnf( $equal(multiply(c,a),multiply(a,c)) )],[refute_0_1011,refute_0_1012]) ).

cnf(refute_0_1014,plain,
    ( add(a,multiply(b,a)) != multiply(c,a)
    | a = multiply(a,c) ),
    inference(resolve,[$cnf( $equal(a,multiply(c,a)) )],[refute_0_1010,refute_0_1013]) ).

cnf(refute_0_1015,plain,
    a = multiply(a,c),
    inference(resolve,[$cnf( $equal(add(a,multiply(b,a)),multiply(c,a)) )],[refute_0_1005,refute_0_1014]) ).

cnf(refute_0_1016,plain,
    ( a != multiply(a,c)
    | multiply(a,c) = a ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(a)),bind(Y0,$fot(multiply(a,c)))]]) ).

cnf(refute_0_1017,plain,
    multiply(a,c) = a,
    inference(resolve,[$cnf( $equal(a,multiply(a,c)) )],[refute_0_1015,refute_0_1016]) ).

cnf(refute_0_1018,plain,
    ( multiply(a,add(c,X_95)) != add(multiply(a,c),multiply(a,X_95))
    | multiply(a,c) != a
    | multiply(a,add(c,X_95)) = add(a,multiply(a,X_95)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,X_95)),add(multiply(a,c),multiply(a,X_95))) ),[1,0],$fot(a)]]) ).

cnf(refute_0_1019,plain,
    ( multiply(a,add(c,X_95)) != add(multiply(a,c),multiply(a,X_95))
    | multiply(a,add(c,X_95)) = add(a,multiply(a,X_95)) ),
    inference(resolve,[$cnf( $equal(multiply(a,c),a) )],[refute_0_1017,refute_0_1018]) ).

cnf(refute_0_1020,plain,
    multiply(a,add(c,X_95)) = add(a,multiply(a,X_95)),
    inference(resolve,[$cnf( $equal(multiply(a,add(c,X_95)),add(multiply(a,c),multiply(a,X_95))) )],[refute_0_994,refute_0_1019]) ).

cnf(refute_0_1021,plain,
    add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
    inference(subst,[],[distributivity2:[bind(X,$fot(Y))]]) ).

cnf(refute_0_1022,plain,
    Y = add(Y,Y),
    inference(subst,[],[refute_0_928:[bind(X_69,$fot(Y))]]) ).

cnf(refute_0_1023,plain,
    ( Y != add(Y,Y)
    | add(Y,Y) = Y ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(Y)),bind(Y0,$fot(add(Y,Y)))]]) ).

cnf(refute_0_1024,plain,
    add(Y,Y) = Y,
    inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_1022,refute_0_1023]) ).

cnf(refute_0_1025,plain,
    ( add(Y,Y) != Y
    | add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
    | add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).

cnf(refute_0_1026,plain,
    ( add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
    | add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
    inference(resolve,[$cnf( $equal(add(Y,Y),Y) )],[refute_0_1024,refute_0_1025]) ).

cnf(refute_0_1027,plain,
    add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_1021,refute_0_1026]) ).

cnf(refute_0_1028,plain,
    multiply(Y,add(Y,Z)) = Y,
    inference(subst,[],[refute_0_799:[bind(X,$fot(Y))]]) ).

cnf(refute_0_1029,plain,
    ( multiply(Y,add(Y,Z)) != Y
    | add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
    | add(Y,multiply(Y,Z)) = Y ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) ),[1],$fot(Y)]]) ).

cnf(refute_0_1030,plain,
    ( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
    | add(Y,multiply(Y,Z)) = Y ),
    inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_1028,refute_0_1029]) ).

cnf(refute_0_1031,plain,
    add(Y,multiply(Y,Z)) = Y,
    inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_1027,refute_0_1030]) ).

cnf(refute_0_1032,plain,
    add(a,multiply(a,X_95)) = a,
    inference(subst,[],[refute_0_1031:[bind(Y,$fot(a)),bind(Z,$fot(X_95))]]) ).

cnf(refute_0_1033,plain,
    ( multiply(a,add(c,X_95)) != add(a,multiply(a,X_95))
    | add(a,multiply(a,X_95)) != a
    | multiply(a,add(c,X_95)) = a ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,add(c,X_95)),a) ),[0],$fot(add(a,multiply(a,X_95)))]]) ).

cnf(refute_0_1034,plain,
    ( multiply(a,add(c,X_95)) != add(a,multiply(a,X_95))
    | multiply(a,add(c,X_95)) = a ),
    inference(resolve,[$cnf( $equal(add(a,multiply(a,X_95)),a) )],[refute_0_1032,refute_0_1033]) ).

cnf(refute_0_1035,plain,
    multiply(a,add(c,X_95)) = a,
    inference(resolve,[$cnf( $equal(multiply(a,add(c,X_95)),add(a,multiply(a,X_95))) )],[refute_0_1020,refute_0_1034]) ).

cnf(refute_0_1036,plain,
    multiply(a,add(c,inverse(inverse(c)))) = a,
    inference(subst,[],[refute_0_1035:[bind(X_95,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_1037,plain,
    inverse(inverse(c)) = add(c,inverse(inverse(c))),
    inference(subst,[],[refute_0_339:[bind(X_20,$fot(c))]]) ).

cnf(refute_0_1038,plain,
    ( inverse(inverse(c)) != add(c,inverse(inverse(c)))
    | add(c,inverse(inverse(c))) = inverse(inverse(c)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(inverse(c)))),bind(Y0,$fot(add(c,inverse(inverse(c)))))]]) ).

cnf(refute_0_1039,plain,
    add(c,inverse(inverse(c))) = inverse(inverse(c)),
    inference(resolve,[$cnf( $equal(inverse(inverse(c)),add(c,inverse(inverse(c)))) )],[refute_0_1037,refute_0_1038]) ).

cnf(refute_0_1040,plain,
    ( multiply(a,add(c,inverse(inverse(c)))) != a
    | add(c,inverse(inverse(c))) != inverse(inverse(c))
    | multiply(a,inverse(inverse(c))) = a ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(a,add(c,inverse(inverse(c)))),a) ),[0,1],$fot(inverse(inverse(c)))]]) ).

cnf(refute_0_1041,plain,
    ( multiply(a,add(c,inverse(inverse(c)))) != a
    | multiply(a,inverse(inverse(c))) = a ),
    inference(resolve,[$cnf( $equal(add(c,inverse(inverse(c))),inverse(inverse(c))) )],[refute_0_1039,refute_0_1040]) ).

cnf(refute_0_1042,plain,
    multiply(a,inverse(inverse(c))) = a,
    inference(resolve,[$cnf( $equal(multiply(a,add(c,inverse(inverse(c)))),a) )],[refute_0_1036,refute_0_1041]) ).

cnf(refute_0_1043,plain,
    ( multiply(a,inverse(inverse(c))) != a
    | add(inverse(a),multiply(a,inverse(inverse(c)))) != add(inverse(inverse(c)),inverse(a))
    | add(inverse(a),a) = add(inverse(inverse(c)),inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(a),multiply(a,inverse(inverse(c)))),add(inverse(inverse(c)),inverse(a))) ),[0,1],$fot(a)]]) ).

cnf(refute_0_1044,plain,
    ( add(inverse(a),multiply(a,inverse(inverse(c)))) != add(inverse(inverse(c)),inverse(a))
    | add(inverse(a),a) = add(inverse(inverse(c)),inverse(a)) ),
    inference(resolve,[$cnf( $equal(multiply(a,inverse(inverse(c))),a) )],[refute_0_1042,refute_0_1043]) ).

cnf(refute_0_1045,plain,
    add(inverse(a),a) = add(inverse(inverse(c)),inverse(a)),
    inference(resolve,[$cnf( $equal(add(inverse(a),multiply(a,inverse(inverse(c)))),add(inverse(inverse(c)),inverse(a))) )],[refute_0_993,refute_0_1044]) ).

cnf(refute_0_1046,plain,
    add(a,inverse(a)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(a))]]) ).

cnf(refute_0_1047,plain,
    add(inverse(a),a) = add(a,inverse(a)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(a))),bind(Z,$fot(a))]]) ).

cnf(refute_0_1048,plain,
    ( add(a,inverse(a)) != multiplicative_identity
    | add(inverse(a),a) != add(a,inverse(a))
    | add(inverse(a),a) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(a),a))),bind(Y0,$fot(add(a,inverse(a)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_1049,plain,
    ( add(a,inverse(a)) != multiplicative_identity
    | add(inverse(a),a) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(a),a),add(a,inverse(a))) )],[refute_0_1047,refute_0_1048]) ).

cnf(refute_0_1050,plain,
    add(inverse(a),a) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(a,inverse(a)),multiplicative_identity) )],[refute_0_1046,refute_0_1049]) ).

cnf(refute_0_1051,plain,
    ( add(inverse(a),a) != add(inverse(inverse(c)),inverse(a))
    | add(inverse(a),a) != multiplicative_identity
    | multiplicative_identity = add(inverse(inverse(c)),inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(a),a),add(inverse(inverse(c)),inverse(a))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1052,plain,
    ( add(inverse(a),a) != add(inverse(inverse(c)),inverse(a))
    | multiplicative_identity = add(inverse(inverse(c)),inverse(a)) ),
    inference(resolve,[$cnf( $equal(add(inverse(a),a),multiplicative_identity) )],[refute_0_1050,refute_0_1051]) ).

cnf(refute_0_1053,plain,
    add(inverse(inverse(c)),inverse(a)) = add(inverse(a),inverse(inverse(c))),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(inverse(c)))),bind(Z,$fot(inverse(a)))]]) ).

cnf(refute_0_1054,plain,
    ( add(inverse(inverse(c)),inverse(a)) != add(inverse(a),inverse(inverse(c)))
    | multiplicative_identity != add(inverse(inverse(c)),inverse(a))
    | multiplicative_identity = add(inverse(a),inverse(inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(c)),inverse(a))) ),[1],$fot(add(inverse(a),inverse(inverse(c))))]]) ).

cnf(refute_0_1055,plain,
    ( multiplicative_identity != add(inverse(inverse(c)),inverse(a))
    | multiplicative_identity = add(inverse(a),inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(c)),inverse(a)),add(inverse(a),inverse(inverse(c)))) )],[refute_0_1053,refute_0_1054]) ).

cnf(refute_0_1056,plain,
    ( add(inverse(a),a) != add(inverse(inverse(c)),inverse(a))
    | multiplicative_identity = add(inverse(a),inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(c)),inverse(a))) )],[refute_0_1052,refute_0_1055]) ).

cnf(refute_0_1057,plain,
    multiplicative_identity = add(inverse(a),inverse(inverse(c))),
    inference(resolve,[$cnf( $equal(add(inverse(a),a),add(inverse(inverse(c)),inverse(a))) )],[refute_0_1045,refute_0_1056]) ).

cnf(refute_0_1058,plain,
    ( multiplicative_identity != add(inverse(a),inverse(inverse(c)))
    | add(inverse(a),inverse(inverse(c))) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(a),inverse(inverse(c)))))]]) ).

cnf(refute_0_1059,plain,
    add(inverse(a),inverse(inverse(c))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(a),inverse(inverse(c)))) )],[refute_0_1057,refute_0_1058]) ).

cnf(refute_0_1060,plain,
    ( multiply(inverse(c),add(inverse(a),inverse(inverse(c)))) != multiply(inverse(c),inverse(a))
    | add(inverse(a),inverse(inverse(c))) != multiplicative_identity
    | multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(c),add(inverse(a),inverse(inverse(c)))),multiply(inverse(c),inverse(a))) ),[0,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1061,plain,
    ( multiply(inverse(c),add(inverse(a),inverse(inverse(c)))) != multiply(inverse(c),inverse(a))
    | multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),inverse(a)) ),
    inference(resolve,[$cnf( $equal(add(inverse(a),inverse(inverse(c))),multiplicative_identity) )],[refute_0_1059,refute_0_1060]) ).

cnf(refute_0_1062,plain,
    multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),inverse(a)),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),add(inverse(a),inverse(inverse(c)))),multiply(inverse(c),inverse(a))) )],[refute_0_992,refute_0_1061]) ).

cnf(refute_0_1063,plain,
    multiply(multiplicative_identity,inverse(c)) = inverse(c),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(c)))]]) ).

cnf(refute_0_1064,plain,
    multiply(inverse(c),multiplicative_identity) = multiply(multiplicative_identity,inverse(c)),
    inference(subst,[],[refute_0_939:[bind(X_68,$fot(c)),bind(X_69,$fot(multiplicative_identity))]]) ).

cnf(refute_0_1065,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(multiplicative_identity,inverse(c))
    | multiply(multiplicative_identity,inverse(c)) != inverse(c)
    | multiply(inverse(c),multiplicative_identity) = inverse(c) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(inverse(c),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,inverse(c)))),bind(Z0,$fot(inverse(c)))]]) ).

cnf(refute_0_1066,plain,
    ( multiply(multiplicative_identity,inverse(c)) != inverse(c)
    | multiply(inverse(c),multiplicative_identity) = inverse(c) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),multiply(multiplicative_identity,inverse(c))) )],[refute_0_1064,refute_0_1065]) ).

cnf(refute_0_1067,plain,
    multiply(inverse(c),multiplicative_identity) = inverse(c),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(c)),inverse(c)) )],[refute_0_1063,refute_0_1066]) ).

cnf(refute_0_1068,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),inverse(a))
    | multiply(inverse(c),multiplicative_identity) != inverse(c)
    | inverse(c) = multiply(inverse(c),inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),multiply(inverse(c),inverse(a))) ),[0],$fot(inverse(c))]]) ).

cnf(refute_0_1069,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),inverse(a))
    | inverse(c) = multiply(inverse(c),inverse(a)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),inverse(c)) )],[refute_0_1067,refute_0_1068]) ).

cnf(refute_0_1070,plain,
    multiply(inverse(c),inverse(a)) = multiply(inverse(a),inverse(c)),
    inference(subst,[],[refute_0_937:[bind(X_68,$fot(a)),bind(X_69,$fot(inverse(c)))]]) ).

cnf(refute_0_1071,plain,
    ( multiply(inverse(c),inverse(a)) != multiply(inverse(a),inverse(c))
    | inverse(c) != multiply(inverse(c),inverse(a))
    | inverse(c) = multiply(inverse(a),inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(c),multiply(inverse(c),inverse(a))) ),[1],$fot(multiply(inverse(a),inverse(c)))]]) ).

cnf(refute_0_1072,plain,
    ( inverse(c) != multiply(inverse(c),inverse(a))
    | inverse(c) = multiply(inverse(a),inverse(c)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),inverse(a)),multiply(inverse(a),inverse(c))) )],[refute_0_1070,refute_0_1071]) ).

cnf(refute_0_1073,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),inverse(a))
    | inverse(c) = multiply(inverse(a),inverse(c)) ),
    inference(resolve,[$cnf( $equal(inverse(c),multiply(inverse(c),inverse(a))) )],[refute_0_1069,refute_0_1072]) ).

cnf(refute_0_1074,plain,
    inverse(c) = multiply(inverse(a),inverse(c)),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),multiply(inverse(c),inverse(a))) )],[refute_0_1062,refute_0_1073]) ).

cnf(refute_0_1075,plain,
    ( inverse(c) != multiply(inverse(a),inverse(c))
    | multiply(inverse(a),inverse(c)) = inverse(c) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(c))),bind(Y0,$fot(multiply(inverse(a),inverse(c))))]]) ).

cnf(refute_0_1076,plain,
    multiply(inverse(a),inverse(c)) = inverse(c),
    inference(resolve,[$cnf( $equal(inverse(c),multiply(inverse(a),inverse(c))) )],[refute_0_1074,refute_0_1075]) ).

cnf(refute_0_1077,plain,
    add(b,multiply(inverse(a),inverse(c))) = add(b,multiply(inverse(a),inverse(c))),
    introduced(tautology,[refl,[$fot(add(b,multiply(inverse(a),inverse(c))))]]) ).

cnf(refute_0_1078,plain,
    ( multiply(inverse(a),inverse(c)) != inverse(c)
    | add(b,multiply(inverse(a),inverse(c))) != add(b,multiply(inverse(a),inverse(c)))
    | add(b,multiply(inverse(a),inverse(c))) = add(b,inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(inverse(a),inverse(c))),add(b,multiply(inverse(a),inverse(c)))) ),[1,1],$fot(inverse(c))]]) ).

cnf(refute_0_1079,plain,
    ( multiply(inverse(a),inverse(c)) != inverse(c)
    | add(b,multiply(inverse(a),inverse(c))) = add(b,inverse(c)) ),
    inference(resolve,[$cnf( $equal(add(b,multiply(inverse(a),inverse(c))),add(b,multiply(inverse(a),inverse(c)))) )],[refute_0_1077,refute_0_1078]) ).

cnf(refute_0_1080,plain,
    add(b,multiply(inverse(a),inverse(c))) = add(b,inverse(c)),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(c)),inverse(c)) )],[refute_0_1076,refute_0_1079]) ).

cnf(refute_0_1081,plain,
    ( add(b,multiply(inverse(a),inverse(c))) != add(b,inverse(c))
    | add(b,inverse(a)) != add(b,multiply(inverse(a),inverse(c)))
    | add(b,inverse(a)) = add(b,inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,inverse(a)),add(b,multiply(inverse(a),inverse(c)))) ),[1],$fot(add(b,inverse(c)))]]) ).

cnf(refute_0_1082,plain,
    ( add(b,inverse(a)) != add(b,multiply(inverse(a),inverse(c)))
    | add(b,inverse(a)) = add(b,inverse(c)) ),
    inference(resolve,[$cnf( $equal(add(b,multiply(inverse(a),inverse(c))),add(b,inverse(c))) )],[refute_0_1080,refute_0_1081]) ).

cnf(refute_0_1083,plain,
    add(b,inverse(a)) = add(b,inverse(c)),
    inference(resolve,[$cnf( $equal(add(b,inverse(a)),add(b,multiply(inverse(a),inverse(c)))) )],[refute_0_991,refute_0_1082]) ).

cnf(refute_0_1084,plain,
    ( add(b,inverse(a)) != add(b,inverse(c))
    | add(b,inverse(c)) = add(b,inverse(a)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(b,inverse(a)))),bind(Y0,$fot(add(b,inverse(c))))]]) ).

cnf(refute_0_1085,plain,
    add(b,inverse(c)) = add(b,inverse(a)),
    inference(resolve,[$cnf( $equal(add(b,inverse(a)),add(b,inverse(c))) )],[refute_0_1083,refute_0_1084]) ).

cnf(refute_0_1086,plain,
    ( add(b,inverse(c)) != add(b,inverse(a))
    | add(b,inverse(c)) != add(inverse(c),add(b,inverse(a)))
    | add(b,inverse(a)) = add(inverse(c),add(b,inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,inverse(c)),add(inverse(c),add(b,inverse(a)))) ),[0],$fot(add(b,inverse(a)))]]) ).

cnf(refute_0_1087,plain,
    ( add(b,inverse(c)) != add(inverse(c),add(b,inverse(a)))
    | add(b,inverse(a)) = add(inverse(c),add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(add(b,inverse(c)),add(b,inverse(a))) )],[refute_0_1085,refute_0_1086]) ).

cnf(refute_0_1088,plain,
    add(b,inverse(a)) = add(inverse(c),add(b,inverse(a))),
    inference(resolve,[$cnf( $equal(add(b,inverse(c)),add(inverse(c),add(b,inverse(a)))) )],[refute_0_77,refute_0_1087]) ).

cnf(refute_0_1089,plain,
    ( add(b,inverse(a)) != add(inverse(c),add(b,inverse(a)))
    | add(inverse(c),add(b,inverse(a))) = add(b,inverse(a)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(add(b,inverse(a)))),bind(Y0,$fot(add(inverse(c),add(b,inverse(a)))))]]) ).

cnf(refute_0_1090,plain,
    add(inverse(c),add(b,inverse(a))) = add(b,inverse(a)),
    inference(resolve,[$cnf( $equal(add(b,inverse(a)),add(inverse(c),add(b,inverse(a)))) )],[refute_0_1088,refute_0_1089]) ).

cnf(refute_0_1091,plain,
    multiply(d,add(inverse(c),add(b,inverse(a)))) = multiply(d,add(inverse(c),add(b,inverse(a)))),
    introduced(tautology,[refl,[$fot(multiply(d,add(inverse(c),add(b,inverse(a)))))]]) ).

cnf(refute_0_1092,plain,
    ( multiply(d,add(inverse(c),add(b,inverse(a)))) != multiply(d,add(inverse(c),add(b,inverse(a))))
    | add(inverse(c),add(b,inverse(a))) != add(b,inverse(a))
    | multiply(d,add(inverse(c),add(b,inverse(a)))) = multiply(d,add(b,inverse(a))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(d,add(inverse(c),add(b,inverse(a)))),multiply(d,add(inverse(c),add(b,inverse(a))))) ),[1,1],$fot(add(b,inverse(a)))]]) ).

cnf(refute_0_1093,plain,
    ( add(inverse(c),add(b,inverse(a))) != add(b,inverse(a))
    | multiply(d,add(inverse(c),add(b,inverse(a)))) = multiply(d,add(b,inverse(a))) ),
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),add(b,inverse(a)))),multiply(d,add(inverse(c),add(b,inverse(a))))) )],[refute_0_1091,refute_0_1092]) ).

cnf(refute_0_1094,plain,
    multiply(d,add(inverse(c),add(b,inverse(a)))) = multiply(d,add(b,inverse(a))),
    inference(resolve,[$cnf( $equal(add(inverse(c),add(b,inverse(a))),add(b,inverse(a))) )],[refute_0_1090,refute_0_1093]) ).

cnf(refute_0_1095,plain,
    ( multiply(d,add(b,inverse(a))) != d
    | multiply(d,add(inverse(c),add(b,inverse(a)))) != multiply(d,add(b,inverse(a)))
    | multiply(d,add(inverse(c),add(b,inverse(a)))) = d ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(multiply(d,add(inverse(c),add(b,inverse(a)))))),bind(Y0,$fot(multiply(d,add(b,inverse(a))))),bind(Z0,$fot(d))]]) ).

cnf(refute_0_1096,plain,
    ( multiply(d,add(b,inverse(a))) != d
    | multiply(d,add(inverse(c),add(b,inverse(a)))) = d ),
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),add(b,inverse(a)))),multiply(d,add(b,inverse(a)))) )],[refute_0_1094,refute_0_1095]) ).

cnf(refute_0_1097,plain,
    multiply(d,add(inverse(c),add(b,inverse(a)))) = d,
    inference(resolve,[$cnf( $equal(multiply(d,add(b,inverse(a))),d) )],[refute_0_969,refute_0_1096]) ).

cnf(refute_0_1098,plain,
    multiply(d,add(inverse(c),Z)) = add(multiply(d,inverse(c)),multiply(d,Z)),
    inference(subst,[],[distributivity4:[bind(X,$fot(d)),bind(Y,$fot(inverse(c)))]]) ).

cnf(refute_0_1099,plain,
    multiply(inverse(c),add(d,inverse(inverse(c)))) = multiply(inverse(c),d),
    inference(subst,[],[refute_0_826:[bind(X_93,$fot(inverse(c))),bind(X_94,$fot(d))]]) ).

cnf(refute_0_1100,plain,
    add(multiply(c,Y),d) = multiply(add(c,d),add(Y,d)),
    inference(subst,[],[distributivity1:[bind(X,$fot(c)),bind(Z,$fot(d))]]) ).

cnf(refute_0_1101,plain,
    add(c,multiply(Y,inverse(b))) = multiply(add(c,Y),add(c,inverse(b))),
    inference(subst,[],[distributivity2:[bind(X,$fot(c)),bind(Z,$fot(inverse(b)))]]) ).

cnf(refute_0_1102,plain,
    add(inverse(b),multiply(b,c)) = add(c,inverse(b)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(b)),bind(X_11,$fot(c))]]) ).

cnf(refute_0_1103,plain,
    add(b,multiply(a,b)) = multiply(c,add(b,b)),
    inference(subst,[],[refute_0_27:[bind(X_11,$fot(b))]]) ).

cnf(refute_0_1104,plain,
    b = add(b,b),
    inference(subst,[],[refute_0_928:[bind(X_69,$fot(b))]]) ).

cnf(refute_0_1105,plain,
    ( b != add(b,b)
    | add(b,b) = b ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(b)),bind(Y0,$fot(add(b,b)))]]) ).

cnf(refute_0_1106,plain,
    add(b,b) = b,
    inference(resolve,[$cnf( $equal(b,add(b,b)) )],[refute_0_1104,refute_0_1105]) ).

cnf(refute_0_1107,plain,
    ( add(b,multiply(a,b)) != multiply(c,add(b,b))
    | add(b,b) != b
    | add(b,multiply(a,b)) = multiply(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(a,b)),multiply(c,add(b,b))) ),[1,1],$fot(b)]]) ).

cnf(refute_0_1108,plain,
    ( add(b,multiply(a,b)) != multiply(c,add(b,b))
    | add(b,multiply(a,b)) = multiply(c,b) ),
    inference(resolve,[$cnf( $equal(add(b,b),b) )],[refute_0_1106,refute_0_1107]) ).

cnf(refute_0_1109,plain,
    add(b,multiply(a,b)) = multiply(c,b),
    inference(resolve,[$cnf( $equal(add(b,multiply(a,b)),multiply(c,add(b,b))) )],[refute_0_1103,refute_0_1108]) ).

cnf(refute_0_1110,plain,
    add(b,multiply(a,b)) = b,
    inference(subst,[],[refute_0_1007:[bind(X_65,$fot(a)),bind(X_67,$fot(b))]]) ).

cnf(refute_0_1111,plain,
    ( add(b,multiply(a,b)) != multiply(c,b)
    | add(b,multiply(a,b)) != b
    | b = multiply(c,b) ),
    introduced(tautology,[equality,[$cnf( $equal(add(b,multiply(a,b)),multiply(c,b)) ),[0],$fot(b)]]) ).

cnf(refute_0_1112,plain,
    ( add(b,multiply(a,b)) != multiply(c,b)
    | b = multiply(c,b) ),
    inference(resolve,[$cnf( $equal(add(b,multiply(a,b)),b) )],[refute_0_1110,refute_0_1111]) ).

cnf(refute_0_1113,plain,
    multiply(c,b) = multiply(b,c),
    inference(subst,[],[refute_0_44:[bind(X,$fot(b)),bind(Y,$fot(c))]]) ).

cnf(refute_0_1114,plain,
    ( multiply(c,b) != multiply(b,c)
    | b != multiply(c,b)
    | b = multiply(b,c) ),
    introduced(tautology,[equality,[$cnf( $equal(b,multiply(c,b)) ),[1],$fot(multiply(b,c))]]) ).

cnf(refute_0_1115,plain,
    ( b != multiply(c,b)
    | b = multiply(b,c) ),
    inference(resolve,[$cnf( $equal(multiply(c,b),multiply(b,c)) )],[refute_0_1113,refute_0_1114]) ).

cnf(refute_0_1116,plain,
    ( add(b,multiply(a,b)) != multiply(c,b)
    | b = multiply(b,c) ),
    inference(resolve,[$cnf( $equal(b,multiply(c,b)) )],[refute_0_1112,refute_0_1115]) ).

cnf(refute_0_1117,plain,
    b = multiply(b,c),
    inference(resolve,[$cnf( $equal(add(b,multiply(a,b)),multiply(c,b)) )],[refute_0_1109,refute_0_1116]) ).

cnf(refute_0_1118,plain,
    ( b != multiply(b,c)
    | multiply(b,c) = b ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(b)),bind(Y0,$fot(multiply(b,c)))]]) ).

cnf(refute_0_1119,plain,
    multiply(b,c) = b,
    inference(resolve,[$cnf( $equal(b,multiply(b,c)) )],[refute_0_1117,refute_0_1118]) ).

cnf(refute_0_1120,plain,
    ( multiply(b,c) != b
    | add(inverse(b),multiply(b,c)) != add(c,inverse(b))
    | add(inverse(b),b) = add(c,inverse(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(b),multiply(b,c)),add(c,inverse(b))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_1121,plain,
    ( add(inverse(b),multiply(b,c)) != add(c,inverse(b))
    | add(inverse(b),b) = add(c,inverse(b)) ),
    inference(resolve,[$cnf( $equal(multiply(b,c),b) )],[refute_0_1119,refute_0_1120]) ).

cnf(refute_0_1122,plain,
    add(inverse(b),b) = add(c,inverse(b)),
    inference(resolve,[$cnf( $equal(add(inverse(b),multiply(b,c)),add(c,inverse(b))) )],[refute_0_1102,refute_0_1121]) ).

cnf(refute_0_1123,plain,
    add(b,inverse(b)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(b))]]) ).

cnf(refute_0_1124,plain,
    add(inverse(b),b) = add(b,inverse(b)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(b))),bind(Z,$fot(b))]]) ).

cnf(refute_0_1125,plain,
    ( add(b,inverse(b)) != multiplicative_identity
    | add(inverse(b),b) != add(b,inverse(b))
    | add(inverse(b),b) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(b),b))),bind(Y0,$fot(add(b,inverse(b)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_1126,plain,
    ( add(b,inverse(b)) != multiplicative_identity
    | add(inverse(b),b) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(b),b),add(b,inverse(b))) )],[refute_0_1124,refute_0_1125]) ).

cnf(refute_0_1127,plain,
    add(inverse(b),b) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(b,inverse(b)),multiplicative_identity) )],[refute_0_1123,refute_0_1126]) ).

cnf(refute_0_1128,plain,
    ( add(inverse(b),b) != add(c,inverse(b))
    | add(inverse(b),b) != multiplicative_identity
    | multiplicative_identity = add(c,inverse(b)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(b),b),add(c,inverse(b))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1129,plain,
    ( add(inverse(b),b) != add(c,inverse(b))
    | multiplicative_identity = add(c,inverse(b)) ),
    inference(resolve,[$cnf( $equal(add(inverse(b),b),multiplicative_identity) )],[refute_0_1127,refute_0_1128]) ).

cnf(refute_0_1130,plain,
    multiplicative_identity = add(c,inverse(b)),
    inference(resolve,[$cnf( $equal(add(inverse(b),b),add(c,inverse(b))) )],[refute_0_1122,refute_0_1129]) ).

cnf(refute_0_1131,plain,
    ( multiplicative_identity != add(c,inverse(b))
    | add(c,inverse(b)) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(c,inverse(b))))]]) ).

cnf(refute_0_1132,plain,
    add(c,inverse(b)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(c,inverse(b))) )],[refute_0_1130,refute_0_1131]) ).

cnf(refute_0_1133,plain,
    ( add(c,multiply(Y,inverse(b))) != multiply(add(c,Y),add(c,inverse(b)))
    | add(c,inverse(b)) != multiplicative_identity
    | add(c,multiply(Y,inverse(b))) = multiply(add(c,Y),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(c,multiply(Y,inverse(b))),multiply(add(c,Y),add(c,inverse(b)))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1134,plain,
    ( add(c,multiply(Y,inverse(b))) != multiply(add(c,Y),add(c,inverse(b)))
    | add(c,multiply(Y,inverse(b))) = multiply(add(c,Y),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(c,inverse(b)),multiplicative_identity) )],[refute_0_1132,refute_0_1133]) ).

cnf(refute_0_1135,plain,
    add(c,multiply(Y,inverse(b))) = multiply(add(c,Y),multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(c,multiply(Y,inverse(b))),multiply(add(c,Y),add(c,inverse(b)))) )],[refute_0_1101,refute_0_1134]) ).

cnf(refute_0_1136,plain,
    multiply(add(c,Y),multiplicative_identity) = add(c,Y),
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(c,Y)))]]) ).

cnf(refute_0_1137,plain,
    ( multiply(add(c,Y),multiplicative_identity) != add(c,Y)
    | add(c,multiply(Y,inverse(b))) != multiply(add(c,Y),multiplicative_identity)
    | add(c,multiply(Y,inverse(b))) = add(c,Y) ),
    introduced(tautology,[equality,[$cnf( $equal(add(c,multiply(Y,inverse(b))),multiply(add(c,Y),multiplicative_identity)) ),[1],$fot(add(c,Y))]]) ).

cnf(refute_0_1138,plain,
    ( add(c,multiply(Y,inverse(b))) != multiply(add(c,Y),multiplicative_identity)
    | add(c,multiply(Y,inverse(b))) = add(c,Y) ),
    inference(resolve,[$cnf( $equal(multiply(add(c,Y),multiplicative_identity),add(c,Y)) )],[refute_0_1136,refute_0_1137]) ).

cnf(refute_0_1139,plain,
    add(c,multiply(Y,inverse(b))) = add(c,Y),
    inference(resolve,[$cnf( $equal(add(c,multiply(Y,inverse(b))),multiply(add(c,Y),multiplicative_identity)) )],[refute_0_1135,refute_0_1138]) ).

cnf(refute_0_1140,plain,
    add(c,multiply(inverse(a),inverse(b))) = add(c,inverse(a)),
    inference(subst,[],[refute_0_1139:[bind(Y,$fot(inverse(a)))]]) ).

cnf(refute_0_1141,plain,
    ( multiply(inverse(a),inverse(b)) != d
    | add(c,multiply(inverse(a),inverse(b))) != add(c,inverse(a))
    | add(c,d) = add(c,inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(c,multiply(inverse(a),inverse(b))),add(c,inverse(a))) ),[0,1],$fot(d)]]) ).

cnf(refute_0_1142,plain,
    ( add(c,multiply(inverse(a),inverse(b))) != add(c,inverse(a))
    | add(c,d) = add(c,inverse(a)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),d) )],[a_inverse_times_b_inverse_is_d,refute_0_1141]) ).

cnf(refute_0_1143,plain,
    add(c,d) = add(c,inverse(a)),
    inference(resolve,[$cnf( $equal(add(c,multiply(inverse(a),inverse(b))),add(c,inverse(a))) )],[refute_0_1140,refute_0_1142]) ).

cnf(refute_0_1144,plain,
    add(inverse(a),multiply(a,c)) = add(c,inverse(a)),
    inference(subst,[],[refute_0_18:[bind(X_10,$fot(a)),bind(X_11,$fot(c))]]) ).

cnf(refute_0_1145,plain,
    ( multiply(a,c) != a
    | add(inverse(a),multiply(a,c)) != add(c,inverse(a))
    | add(inverse(a),a) = add(c,inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(a),multiply(a,c)),add(c,inverse(a))) ),[0,1],$fot(a)]]) ).

cnf(refute_0_1146,plain,
    ( add(inverse(a),multiply(a,c)) != add(c,inverse(a))
    | add(inverse(a),a) = add(c,inverse(a)) ),
    inference(resolve,[$cnf( $equal(multiply(a,c),a) )],[refute_0_1017,refute_0_1145]) ).

cnf(refute_0_1147,plain,
    add(inverse(a),a) = add(c,inverse(a)),
    inference(resolve,[$cnf( $equal(add(inverse(a),multiply(a,c)),add(c,inverse(a))) )],[refute_0_1144,refute_0_1146]) ).

cnf(refute_0_1148,plain,
    ( add(inverse(a),a) != add(c,inverse(a))
    | add(inverse(a),a) != multiplicative_identity
    | multiplicative_identity = add(c,inverse(a)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(a),a),add(c,inverse(a))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1149,plain,
    ( add(inverse(a),a) != add(c,inverse(a))
    | multiplicative_identity = add(c,inverse(a)) ),
    inference(resolve,[$cnf( $equal(add(inverse(a),a),multiplicative_identity) )],[refute_0_1050,refute_0_1148]) ).

cnf(refute_0_1150,plain,
    multiplicative_identity = add(c,inverse(a)),
    inference(resolve,[$cnf( $equal(add(inverse(a),a),add(c,inverse(a))) )],[refute_0_1147,refute_0_1149]) ).

cnf(refute_0_1151,plain,
    ( multiplicative_identity != add(c,inverse(a))
    | add(c,inverse(a)) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(c,inverse(a))))]]) ).

cnf(refute_0_1152,plain,
    add(c,inverse(a)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(c,inverse(a))) )],[refute_0_1150,refute_0_1151]) ).

cnf(refute_0_1153,plain,
    ( add(c,d) != add(c,inverse(a))
    | add(c,inverse(a)) != multiplicative_identity
    | add(c,d) = multiplicative_identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(c,d),multiplicative_identity) ),[0],$fot(add(c,inverse(a)))]]) ).

cnf(refute_0_1154,plain,
    ( add(c,d) != add(c,inverse(a))
    | add(c,d) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(c,inverse(a)),multiplicative_identity) )],[refute_0_1152,refute_0_1153]) ).

cnf(refute_0_1155,plain,
    add(c,d) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(c,d),add(c,inverse(a))) )],[refute_0_1143,refute_0_1154]) ).

cnf(refute_0_1156,plain,
    ( add(multiply(c,Y),d) != multiply(add(c,d),add(Y,d))
    | add(c,d) != multiplicative_identity
    | add(multiply(c,Y),d) = multiply(multiplicative_identity,add(Y,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(c,Y),d),multiply(add(c,d),add(Y,d))) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1157,plain,
    ( add(multiply(c,Y),d) != multiply(add(c,d),add(Y,d))
    | add(multiply(c,Y),d) = multiply(multiplicative_identity,add(Y,d)) ),
    inference(resolve,[$cnf( $equal(add(c,d),multiplicative_identity) )],[refute_0_1155,refute_0_1156]) ).

cnf(refute_0_1158,plain,
    add(multiply(c,Y),d) = multiply(multiplicative_identity,add(Y,d)),
    inference(resolve,[$cnf( $equal(add(multiply(c,Y),d),multiply(add(c,d),add(Y,d))) )],[refute_0_1100,refute_0_1157]) ).

cnf(refute_0_1159,plain,
    add(multiply(c,Y),d) = add(d,multiply(c,Y)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(multiply(c,Y))),bind(Z,$fot(d))]]) ).

cnf(refute_0_1160,plain,
    ( add(multiply(c,Y),d) != multiply(multiplicative_identity,add(Y,d))
    | add(multiply(c,Y),d) != add(d,multiply(c,Y))
    | add(d,multiply(c,Y)) = multiply(multiplicative_identity,add(Y,d)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(c,Y),d),multiply(multiplicative_identity,add(Y,d))) ),[0],$fot(add(d,multiply(c,Y)))]]) ).

cnf(refute_0_1161,plain,
    ( add(multiply(c,Y),d) != multiply(multiplicative_identity,add(Y,d))
    | add(d,multiply(c,Y)) = multiply(multiplicative_identity,add(Y,d)) ),
    inference(resolve,[$cnf( $equal(add(multiply(c,Y),d),add(d,multiply(c,Y))) )],[refute_0_1159,refute_0_1160]) ).

cnf(refute_0_1162,plain,
    multiply(multiplicative_identity,add(Y,d)) = add(Y,d),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,d)))]]) ).

cnf(refute_0_1163,plain,
    ( multiply(multiplicative_identity,add(Y,d)) != add(Y,d)
    | add(d,multiply(c,Y)) != multiply(multiplicative_identity,add(Y,d))
    | add(d,multiply(c,Y)) = add(Y,d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(d,multiply(c,Y)),multiply(multiplicative_identity,add(Y,d))) ),[1],$fot(add(Y,d))]]) ).

cnf(refute_0_1164,plain,
    ( add(d,multiply(c,Y)) != multiply(multiplicative_identity,add(Y,d))
    | add(d,multiply(c,Y)) = add(Y,d) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,d)),add(Y,d)) )],[refute_0_1162,refute_0_1163]) ).

cnf(refute_0_1165,plain,
    ( add(multiply(c,Y),d) != multiply(multiplicative_identity,add(Y,d))
    | add(d,multiply(c,Y)) = add(Y,d) ),
    inference(resolve,[$cnf( $equal(add(d,multiply(c,Y)),multiply(multiplicative_identity,add(Y,d))) )],[refute_0_1161,refute_0_1164]) ).

cnf(refute_0_1166,plain,
    add(d,multiply(c,Y)) = add(Y,d),
    inference(resolve,[$cnf( $equal(add(multiply(c,Y),d),multiply(multiplicative_identity,add(Y,d))) )],[refute_0_1158,refute_0_1165]) ).

cnf(refute_0_1167,plain,
    add(d,multiply(c,inverse(inverse(c)))) = add(inverse(inverse(c)),d),
    inference(subst,[],[refute_0_1166:[bind(Y,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_1168,plain,
    add(a,multiply(b,inverse(inverse(c)))) = multiply(c,add(a,inverse(inverse(c)))),
    inference(subst,[],[refute_0_998:[bind(X_34,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_1169,plain,
    multiply(b,add(c,X_95)) = add(multiply(b,c),multiply(b,X_95)),
    inference(subst,[],[distributivity4:[bind(X,$fot(b)),bind(Y,$fot(c)),bind(Z,$fot(X_95))]]) ).

cnf(refute_0_1170,plain,
    ( multiply(b,add(c,X_95)) != add(multiply(b,c),multiply(b,X_95))
    | multiply(b,c) != b
    | multiply(b,add(c,X_95)) = add(b,multiply(b,X_95)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(c,X_95)),add(multiply(b,c),multiply(b,X_95))) ),[1,0],$fot(b)]]) ).

cnf(refute_0_1171,plain,
    ( multiply(b,add(c,X_95)) != add(multiply(b,c),multiply(b,X_95))
    | multiply(b,add(c,X_95)) = add(b,multiply(b,X_95)) ),
    inference(resolve,[$cnf( $equal(multiply(b,c),b) )],[refute_0_1119,refute_0_1170]) ).

cnf(refute_0_1172,plain,
    multiply(b,add(c,X_95)) = add(b,multiply(b,X_95)),
    inference(resolve,[$cnf( $equal(multiply(b,add(c,X_95)),add(multiply(b,c),multiply(b,X_95))) )],[refute_0_1169,refute_0_1171]) ).

cnf(refute_0_1173,plain,
    add(b,multiply(b,X_95)) = b,
    inference(subst,[],[refute_0_1031:[bind(Y,$fot(b)),bind(Z,$fot(X_95))]]) ).

cnf(refute_0_1174,plain,
    ( multiply(b,add(c,X_95)) != add(b,multiply(b,X_95))
    | add(b,multiply(b,X_95)) != b
    | multiply(b,add(c,X_95)) = b ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(b,add(c,X_95)),b) ),[0],$fot(add(b,multiply(b,X_95)))]]) ).

cnf(refute_0_1175,plain,
    ( multiply(b,add(c,X_95)) != add(b,multiply(b,X_95))
    | multiply(b,add(c,X_95)) = b ),
    inference(resolve,[$cnf( $equal(add(b,multiply(b,X_95)),b) )],[refute_0_1173,refute_0_1174]) ).

cnf(refute_0_1176,plain,
    multiply(b,add(c,X_95)) = b,
    inference(resolve,[$cnf( $equal(multiply(b,add(c,X_95)),add(b,multiply(b,X_95))) )],[refute_0_1172,refute_0_1175]) ).

cnf(refute_0_1177,plain,
    multiply(b,add(c,inverse(inverse(c)))) = b,
    inference(subst,[],[refute_0_1176:[bind(X_95,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_1178,plain,
    ( multiply(b,add(c,inverse(inverse(c)))) != b
    | add(c,inverse(inverse(c))) != inverse(inverse(c))
    | multiply(b,inverse(inverse(c))) = b ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(b,add(c,inverse(inverse(c)))),b) ),[0,1],$fot(inverse(inverse(c)))]]) ).

cnf(refute_0_1179,plain,
    ( multiply(b,add(c,inverse(inverse(c)))) != b
    | multiply(b,inverse(inverse(c))) = b ),
    inference(resolve,[$cnf( $equal(add(c,inverse(inverse(c))),inverse(inverse(c))) )],[refute_0_1039,refute_0_1178]) ).

cnf(refute_0_1180,plain,
    multiply(b,inverse(inverse(c))) = b,
    inference(resolve,[$cnf( $equal(multiply(b,add(c,inverse(inverse(c)))),b) )],[refute_0_1177,refute_0_1179]) ).

cnf(refute_0_1181,plain,
    ( multiply(b,inverse(inverse(c))) != b
    | add(a,multiply(b,inverse(inverse(c)))) != multiply(c,add(a,inverse(inverse(c))))
    | add(a,b) = multiply(c,add(a,inverse(inverse(c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(a,multiply(b,inverse(inverse(c)))),multiply(c,add(a,inverse(inverse(c))))) ),[0,1],$fot(b)]]) ).

cnf(refute_0_1182,plain,
    ( add(a,multiply(b,inverse(inverse(c)))) != multiply(c,add(a,inverse(inverse(c))))
    | add(a,b) = multiply(c,add(a,inverse(inverse(c)))) ),
    inference(resolve,[$cnf( $equal(multiply(b,inverse(inverse(c))),b) )],[refute_0_1180,refute_0_1181]) ).

cnf(refute_0_1183,plain,
    add(a,b) = multiply(c,add(a,inverse(inverse(c)))),
    inference(resolve,[$cnf( $equal(add(a,multiply(b,inverse(inverse(c)))),multiply(c,add(a,inverse(inverse(c))))) )],[refute_0_1168,refute_0_1182]) ).

cnf(refute_0_1184,plain,
    ( add(a,b) != multiply(c,add(a,inverse(inverse(c))))
    | add(a,b) != c
    | c = multiply(c,add(a,inverse(inverse(c)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(a,b),multiply(c,add(a,inverse(inverse(c))))) ),[0],$fot(c)]]) ).

cnf(refute_0_1185,plain,
    ( add(a,b) != multiply(c,add(a,inverse(inverse(c))))
    | c = multiply(c,add(a,inverse(inverse(c)))) ),
    inference(resolve,[$cnf( $equal(add(a,b),c) )],[a_plus_b_is_c,refute_0_1184]) ).

cnf(refute_0_1186,plain,
    inverse(inverse(c)) = add(inverse(inverse(c)),multiply(a,inverse(inverse(c)))),
    inference(subst,[],[refute_0_847:[bind(X_65,$fot(a)),bind(X_67,$fot(inverse(inverse(c))))]]) ).

cnf(refute_0_1187,plain,
    ( multiply(a,inverse(inverse(c))) != a
    | inverse(inverse(c)) != add(inverse(inverse(c)),multiply(a,inverse(inverse(c))))
    | inverse(inverse(c)) = add(inverse(inverse(c)),a) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(c)),add(inverse(inverse(c)),multiply(a,inverse(inverse(c))))) ),[1,1],$fot(a)]]) ).

cnf(refute_0_1188,plain,
    ( inverse(inverse(c)) != add(inverse(inverse(c)),multiply(a,inverse(inverse(c))))
    | inverse(inverse(c)) = add(inverse(inverse(c)),a) ),
    inference(resolve,[$cnf( $equal(multiply(a,inverse(inverse(c))),a) )],[refute_0_1042,refute_0_1187]) ).

cnf(refute_0_1189,plain,
    inverse(inverse(c)) = add(inverse(inverse(c)),a),
    inference(resolve,[$cnf( $equal(inverse(inverse(c)),add(inverse(inverse(c)),multiply(a,inverse(inverse(c))))) )],[refute_0_1186,refute_0_1188]) ).

cnf(refute_0_1190,plain,
    add(inverse(inverse(c)),a) = add(a,inverse(inverse(c))),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(inverse(c)))),bind(Z,$fot(a))]]) ).

cnf(refute_0_1191,plain,
    ( add(inverse(inverse(c)),a) != add(a,inverse(inverse(c)))
    | inverse(inverse(c)) != add(inverse(inverse(c)),a)
    | inverse(inverse(c)) = add(a,inverse(inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(c)),add(inverse(inverse(c)),a)) ),[1],$fot(add(a,inverse(inverse(c))))]]) ).

cnf(refute_0_1192,plain,
    ( inverse(inverse(c)) != add(inverse(inverse(c)),a)
    | inverse(inverse(c)) = add(a,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(c)),a),add(a,inverse(inverse(c)))) )],[refute_0_1190,refute_0_1191]) ).

cnf(refute_0_1193,plain,
    inverse(inverse(c)) = add(a,inverse(inverse(c))),
    inference(resolve,[$cnf( $equal(inverse(inverse(c)),add(inverse(inverse(c)),a)) )],[refute_0_1189,refute_0_1192]) ).

cnf(refute_0_1194,plain,
    ( inverse(inverse(c)) != add(a,inverse(inverse(c)))
    | add(a,inverse(inverse(c))) = inverse(inverse(c)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(inverse(c)))),bind(Y0,$fot(add(a,inverse(inverse(c)))))]]) ).

cnf(refute_0_1195,plain,
    add(a,inverse(inverse(c))) = inverse(inverse(c)),
    inference(resolve,[$cnf( $equal(inverse(inverse(c)),add(a,inverse(inverse(c)))) )],[refute_0_1193,refute_0_1194]) ).

cnf(refute_0_1196,plain,
    multiply(c,add(a,inverse(inverse(c)))) = multiply(c,add(a,inverse(inverse(c)))),
    introduced(tautology,[refl,[$fot(multiply(c,add(a,inverse(inverse(c)))))]]) ).

cnf(refute_0_1197,plain,
    ( multiply(c,add(a,inverse(inverse(c)))) != multiply(c,add(a,inverse(inverse(c))))
    | add(a,inverse(inverse(c))) != inverse(inverse(c))
    | multiply(c,add(a,inverse(inverse(c)))) = multiply(c,inverse(inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(c,add(a,inverse(inverse(c)))),multiply(c,add(a,inverse(inverse(c))))) ),[1,1],$fot(inverse(inverse(c)))]]) ).

cnf(refute_0_1198,plain,
    ( add(a,inverse(inverse(c))) != inverse(inverse(c))
    | multiply(c,add(a,inverse(inverse(c)))) = multiply(c,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiply(c,add(a,inverse(inverse(c)))),multiply(c,add(a,inverse(inverse(c))))) )],[refute_0_1196,refute_0_1197]) ).

cnf(refute_0_1199,plain,
    multiply(c,add(a,inverse(inverse(c)))) = multiply(c,inverse(inverse(c))),
    inference(resolve,[$cnf( $equal(add(a,inverse(inverse(c))),inverse(inverse(c))) )],[refute_0_1195,refute_0_1198]) ).

cnf(refute_0_1200,plain,
    ( multiply(c,add(a,inverse(inverse(c)))) != multiply(c,inverse(inverse(c)))
    | c != multiply(c,add(a,inverse(inverse(c))))
    | c = multiply(c,inverse(inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(c,multiply(c,add(a,inverse(inverse(c))))) ),[1],$fot(multiply(c,inverse(inverse(c))))]]) ).

cnf(refute_0_1201,plain,
    ( c != multiply(c,add(a,inverse(inverse(c))))
    | c = multiply(c,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiply(c,add(a,inverse(inverse(c)))),multiply(c,inverse(inverse(c)))) )],[refute_0_1199,refute_0_1200]) ).

cnf(refute_0_1202,plain,
    ( add(a,b) != multiply(c,add(a,inverse(inverse(c))))
    | c = multiply(c,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(c,multiply(c,add(a,inverse(inverse(c))))) )],[refute_0_1185,refute_0_1201]) ).

cnf(refute_0_1203,plain,
    c = multiply(c,inverse(inverse(c))),
    inference(resolve,[$cnf( $equal(add(a,b),multiply(c,add(a,inverse(inverse(c))))) )],[refute_0_1183,refute_0_1202]) ).

cnf(refute_0_1204,plain,
    ( c != multiply(c,inverse(inverse(c)))
    | multiply(c,inverse(inverse(c))) = c ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(c)),bind(Y0,$fot(multiply(c,inverse(inverse(c)))))]]) ).

cnf(refute_0_1205,plain,
    multiply(c,inverse(inverse(c))) = c,
    inference(resolve,[$cnf( $equal(c,multiply(c,inverse(inverse(c)))) )],[refute_0_1203,refute_0_1204]) ).

cnf(refute_0_1206,plain,
    ( multiply(c,inverse(inverse(c))) != c
    | add(d,multiply(c,inverse(inverse(c)))) != add(inverse(inverse(c)),d)
    | add(d,c) = add(inverse(inverse(c)),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(d,multiply(c,inverse(inverse(c)))),add(inverse(inverse(c)),d)) ),[0,1],$fot(c)]]) ).

cnf(refute_0_1207,plain,
    ( add(d,multiply(c,inverse(inverse(c)))) != add(inverse(inverse(c)),d)
    | add(d,c) = add(inverse(inverse(c)),d) ),
    inference(resolve,[$cnf( $equal(multiply(c,inverse(inverse(c))),c) )],[refute_0_1205,refute_0_1206]) ).

cnf(refute_0_1208,plain,
    add(d,c) = add(inverse(inverse(c)),d),
    inference(resolve,[$cnf( $equal(add(d,multiply(c,inverse(inverse(c)))),add(inverse(inverse(c)),d)) )],[refute_0_1167,refute_0_1207]) ).

cnf(refute_0_1209,plain,
    add(d,c) = add(c,d),
    inference(subst,[],[refute_0_819:[bind(X,$fot(d)),bind(Z,$fot(c))]]) ).

cnf(refute_0_1210,plain,
    ( add(c,d) != multiplicative_identity
    | add(d,c) != add(c,d)
    | add(d,c) = multiplicative_identity ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(d,c))),bind(Y0,$fot(add(c,d))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_1211,plain,
    ( add(c,d) != multiplicative_identity
    | add(d,c) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(d,c),add(c,d)) )],[refute_0_1209,refute_0_1210]) ).

cnf(refute_0_1212,plain,
    add(d,c) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(c,d),multiplicative_identity) )],[refute_0_1155,refute_0_1211]) ).

cnf(refute_0_1213,plain,
    ( add(d,c) != add(inverse(inverse(c)),d)
    | add(d,c) != multiplicative_identity
    | multiplicative_identity = add(inverse(inverse(c)),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(d,c),add(inverse(inverse(c)),d)) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1214,plain,
    ( add(d,c) != add(inverse(inverse(c)),d)
    | multiplicative_identity = add(inverse(inverse(c)),d) ),
    inference(resolve,[$cnf( $equal(add(d,c),multiplicative_identity) )],[refute_0_1212,refute_0_1213]) ).

cnf(refute_0_1215,plain,
    add(inverse(inverse(c)),d) = add(d,inverse(inverse(c))),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(inverse(c)))),bind(Z,$fot(d))]]) ).

cnf(refute_0_1216,plain,
    ( add(inverse(inverse(c)),d) != add(d,inverse(inverse(c)))
    | multiplicative_identity != add(inverse(inverse(c)),d)
    | multiplicative_identity = add(d,inverse(inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(c)),d)) ),[1],$fot(add(d,inverse(inverse(c))))]]) ).

cnf(refute_0_1217,plain,
    ( multiplicative_identity != add(inverse(inverse(c)),d)
    | multiplicative_identity = add(d,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(c)),d),add(d,inverse(inverse(c)))) )],[refute_0_1215,refute_0_1216]) ).

cnf(refute_0_1218,plain,
    ( add(d,c) != add(inverse(inverse(c)),d)
    | multiplicative_identity = add(d,inverse(inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(c)),d)) )],[refute_0_1214,refute_0_1217]) ).

cnf(refute_0_1219,plain,
    multiplicative_identity = add(d,inverse(inverse(c))),
    inference(resolve,[$cnf( $equal(add(d,c),add(inverse(inverse(c)),d)) )],[refute_0_1208,refute_0_1218]) ).

cnf(refute_0_1220,plain,
    ( multiplicative_identity != add(d,inverse(inverse(c)))
    | add(d,inverse(inverse(c))) = multiplicative_identity ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(d,inverse(inverse(c)))))]]) ).

cnf(refute_0_1221,plain,
    add(d,inverse(inverse(c))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(d,inverse(inverse(c)))) )],[refute_0_1219,refute_0_1220]) ).

cnf(refute_0_1222,plain,
    ( multiply(inverse(c),add(d,inverse(inverse(c)))) != multiply(inverse(c),d)
    | add(d,inverse(inverse(c))) != multiplicative_identity
    | multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),d) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(c),add(d,inverse(inverse(c)))),multiply(inverse(c),d)) ),[0,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_1223,plain,
    ( multiply(inverse(c),add(d,inverse(inverse(c)))) != multiply(inverse(c),d)
    | multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),d) ),
    inference(resolve,[$cnf( $equal(add(d,inverse(inverse(c))),multiplicative_identity) )],[refute_0_1221,refute_0_1222]) ).

cnf(refute_0_1224,plain,
    multiply(inverse(c),multiplicative_identity) = multiply(inverse(c),d),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),add(d,inverse(inverse(c)))),multiply(inverse(c),d)) )],[refute_0_1099,refute_0_1223]) ).

cnf(refute_0_1225,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),d)
    | multiply(inverse(c),multiplicative_identity) != inverse(c)
    | inverse(c) = multiply(inverse(c),d) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),multiply(inverse(c),d)) ),[0],$fot(inverse(c))]]) ).

cnf(refute_0_1226,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),d)
    | inverse(c) = multiply(inverse(c),d) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),inverse(c)) )],[refute_0_1067,refute_0_1225]) ).

cnf(refute_0_1227,plain,
    multiply(inverse(c),d) = multiply(d,inverse(c)),
    inference(subst,[],[refute_0_939:[bind(X_68,$fot(c)),bind(X_69,$fot(d))]]) ).

cnf(refute_0_1228,plain,
    ( multiply(inverse(c),d) != multiply(d,inverse(c))
    | inverse(c) != multiply(inverse(c),d)
    | inverse(c) = multiply(d,inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(inverse(c),multiply(inverse(c),d)) ),[1],$fot(multiply(d,inverse(c)))]]) ).

cnf(refute_0_1229,plain,
    ( inverse(c) != multiply(inverse(c),d)
    | inverse(c) = multiply(d,inverse(c)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),d),multiply(d,inverse(c))) )],[refute_0_1227,refute_0_1228]) ).

cnf(refute_0_1230,plain,
    ( multiply(inverse(c),multiplicative_identity) != multiply(inverse(c),d)
    | inverse(c) = multiply(d,inverse(c)) ),
    inference(resolve,[$cnf( $equal(inverse(c),multiply(inverse(c),d)) )],[refute_0_1226,refute_0_1229]) ).

cnf(refute_0_1231,plain,
    inverse(c) = multiply(d,inverse(c)),
    inference(resolve,[$cnf( $equal(multiply(inverse(c),multiplicative_identity),multiply(inverse(c),d)) )],[refute_0_1224,refute_0_1230]) ).

cnf(refute_0_1232,plain,
    ( inverse(c) != multiply(d,inverse(c))
    | multiply(d,inverse(c)) = inverse(c) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(inverse(c))),bind(Y0,$fot(multiply(d,inverse(c))))]]) ).

cnf(refute_0_1233,plain,
    multiply(d,inverse(c)) = inverse(c),
    inference(resolve,[$cnf( $equal(inverse(c),multiply(d,inverse(c))) )],[refute_0_1231,refute_0_1232]) ).

cnf(refute_0_1234,plain,
    ( multiply(d,add(inverse(c),Z)) != add(multiply(d,inverse(c)),multiply(d,Z))
    | multiply(d,inverse(c)) != inverse(c)
    | multiply(d,add(inverse(c),Z)) = add(inverse(c),multiply(d,Z)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(d,add(inverse(c),Z)),add(multiply(d,inverse(c)),multiply(d,Z))) ),[1,0],$fot(inverse(c))]]) ).

cnf(refute_0_1235,plain,
    ( multiply(d,add(inverse(c),Z)) != add(multiply(d,inverse(c)),multiply(d,Z))
    | multiply(d,add(inverse(c),Z)) = add(inverse(c),multiply(d,Z)) ),
    inference(resolve,[$cnf( $equal(multiply(d,inverse(c)),inverse(c)) )],[refute_0_1233,refute_0_1234]) ).

cnf(refute_0_1236,plain,
    multiply(d,add(inverse(c),Z)) = add(inverse(c),multiply(d,Z)),
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),Z)),add(multiply(d,inverse(c)),multiply(d,Z))) )],[refute_0_1098,refute_0_1235]) ).

cnf(refute_0_1237,plain,
    add(multiply(d,Y),inverse(c)) = multiply(add(d,inverse(c)),add(Y,inverse(c))),
    inference(subst,[],[distributivity1:[bind(X,$fot(d)),bind(Z,$fot(inverse(c)))]]) ).

cnf(refute_0_1238,plain,
    add(d,multiply(c,inverse(c))) = add(inverse(c),d),
    inference(subst,[],[refute_0_1166:[bind(Y,$fot(inverse(c)))]]) ).

cnf(refute_0_1239,plain,
    multiply(c,inverse(c)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(c))]]) ).

cnf(refute_0_1240,plain,
    ( multiply(c,inverse(c)) != additive_identity
    | add(d,multiply(c,inverse(c))) != add(inverse(c),d)
    | add(d,additive_identity) = add(inverse(c),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(d,multiply(c,inverse(c))),add(inverse(c),d)) ),[0,1],$fot(additive_identity)]]) ).

cnf(refute_0_1241,plain,
    ( add(d,multiply(c,inverse(c))) != add(inverse(c),d)
    | add(d,additive_identity) = add(inverse(c),d) ),
    inference(resolve,[$cnf( $equal(multiply(c,inverse(c)),additive_identity) )],[refute_0_1239,refute_0_1240]) ).

cnf(refute_0_1242,plain,
    add(d,additive_identity) = add(inverse(c),d),
    inference(resolve,[$cnf( $equal(add(d,multiply(c,inverse(c))),add(inverse(c),d)) )],[refute_0_1238,refute_0_1241]) ).

cnf(refute_0_1243,plain,
    add(additive_identity,d) = d,
    inference(subst,[],[additive_id2:[bind(X,$fot(d))]]) ).

cnf(refute_0_1244,plain,
    add(d,additive_identity) = add(additive_identity,d),
    inference(subst,[],[refute_0_819:[bind(X,$fot(d)),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_1245,plain,
    ( add(additive_identity,d) != d
    | add(d,additive_identity) != add(additive_identity,d)
    | add(d,additive_identity) = d ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(d,additive_identity))),bind(Y0,$fot(add(additive_identity,d))),bind(Z0,$fot(d))]]) ).

cnf(refute_0_1246,plain,
    ( add(additive_identity,d) != d
    | add(d,additive_identity) = d ),
    inference(resolve,[$cnf( $equal(add(d,additive_identity),add(additive_identity,d)) )],[refute_0_1244,refute_0_1245]) ).

cnf(refute_0_1247,plain,
    add(d,additive_identity) = d,
    inference(resolve,[$cnf( $equal(add(additive_identity,d),d) )],[refute_0_1243,refute_0_1246]) ).

cnf(refute_0_1248,plain,
    ( add(d,additive_identity) != add(inverse(c),d)
    | add(d,additive_identity) != d
    | d = add(inverse(c),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(d,additive_identity),add(inverse(c),d)) ),[0],$fot(d)]]) ).

cnf(refute_0_1249,plain,
    ( add(d,additive_identity) != add(inverse(c),d)
    | d = add(inverse(c),d) ),
    inference(resolve,[$cnf( $equal(add(d,additive_identity),d) )],[refute_0_1247,refute_0_1248]) ).

cnf(refute_0_1250,plain,
    add(inverse(c),d) = add(d,inverse(c)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(c))),bind(Z,$fot(d))]]) ).

cnf(refute_0_1251,plain,
    ( add(inverse(c),d) != add(d,inverse(c))
    | d != add(inverse(c),d)
    | d = add(d,inverse(c)) ),
    introduced(tautology,[equality,[$cnf( $equal(d,add(inverse(c),d)) ),[1],$fot(add(d,inverse(c)))]]) ).

cnf(refute_0_1252,plain,
    ( d != add(inverse(c),d)
    | d = add(d,inverse(c)) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),d),add(d,inverse(c))) )],[refute_0_1250,refute_0_1251]) ).

cnf(refute_0_1253,plain,
    ( add(d,additive_identity) != add(inverse(c),d)
    | d = add(d,inverse(c)) ),
    inference(resolve,[$cnf( $equal(d,add(inverse(c),d)) )],[refute_0_1249,refute_0_1252]) ).

cnf(refute_0_1254,plain,
    d = add(d,inverse(c)),
    inference(resolve,[$cnf( $equal(add(d,additive_identity),add(inverse(c),d)) )],[refute_0_1242,refute_0_1253]) ).

cnf(refute_0_1255,plain,
    ( d != add(d,inverse(c))
    | add(d,inverse(c)) = d ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(d)),bind(Y0,$fot(add(d,inverse(c))))]]) ).

cnf(refute_0_1256,plain,
    add(d,inverse(c)) = d,
    inference(resolve,[$cnf( $equal(d,add(d,inverse(c))) )],[refute_0_1254,refute_0_1255]) ).

cnf(refute_0_1257,plain,
    ( add(multiply(d,Y),inverse(c)) != multiply(add(d,inverse(c)),add(Y,inverse(c)))
    | add(d,inverse(c)) != d
    | add(multiply(d,Y),inverse(c)) = multiply(d,add(Y,inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(d,Y),inverse(c)),multiply(add(d,inverse(c)),add(Y,inverse(c)))) ),[1,0],$fot(d)]]) ).

cnf(refute_0_1258,plain,
    ( add(multiply(d,Y),inverse(c)) != multiply(add(d,inverse(c)),add(Y,inverse(c)))
    | add(multiply(d,Y),inverse(c)) = multiply(d,add(Y,inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(d,inverse(c)),d) )],[refute_0_1256,refute_0_1257]) ).

cnf(refute_0_1259,plain,
    add(multiply(d,Y),inverse(c)) = multiply(d,add(Y,inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(d,Y),inverse(c)),multiply(add(d,inverse(c)),add(Y,inverse(c)))) )],[refute_0_1237,refute_0_1258]) ).

cnf(refute_0_1260,plain,
    add(multiply(d,Y),inverse(c)) = add(inverse(c),multiply(d,Y)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(multiply(d,Y))),bind(Z,$fot(inverse(c)))]]) ).

cnf(refute_0_1261,plain,
    ( add(multiply(d,Y),inverse(c)) != multiply(d,add(Y,inverse(c)))
    | add(multiply(d,Y),inverse(c)) != add(inverse(c),multiply(d,Y))
    | add(inverse(c),multiply(d,Y)) = multiply(d,add(Y,inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(d,Y),inverse(c)),multiply(d,add(Y,inverse(c)))) ),[0],$fot(add(inverse(c),multiply(d,Y)))]]) ).

cnf(refute_0_1262,plain,
    ( add(multiply(d,Y),inverse(c)) != multiply(d,add(Y,inverse(c)))
    | add(inverse(c),multiply(d,Y)) = multiply(d,add(Y,inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(multiply(d,Y),inverse(c)),add(inverse(c),multiply(d,Y))) )],[refute_0_1260,refute_0_1261]) ).

cnf(refute_0_1263,plain,
    add(inverse(c),multiply(d,Y)) = multiply(d,add(Y,inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(d,Y),inverse(c)),multiply(d,add(Y,inverse(c)))) )],[refute_0_1259,refute_0_1262]) ).

cnf(refute_0_1264,plain,
    add(inverse(c),multiply(d,Z)) = multiply(d,add(Z,inverse(c))),
    inference(subst,[],[refute_0_1263:[bind(Y,$fot(Z))]]) ).

cnf(refute_0_1265,plain,
    ( multiply(d,add(inverse(c),Z)) != add(inverse(c),multiply(d,Z))
    | add(inverse(c),multiply(d,Z)) != multiply(d,add(Z,inverse(c)))
    | multiply(d,add(inverse(c),Z)) = multiply(d,add(Z,inverse(c))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(d,add(inverse(c),Z)),multiply(d,add(Z,inverse(c)))) ),[0],$fot(add(inverse(c),multiply(d,Z)))]]) ).

cnf(refute_0_1266,plain,
    ( multiply(d,add(inverse(c),Z)) != add(inverse(c),multiply(d,Z))
    | multiply(d,add(inverse(c),Z)) = multiply(d,add(Z,inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(d,Z)),multiply(d,add(Z,inverse(c)))) )],[refute_0_1264,refute_0_1265]) ).

cnf(refute_0_1267,plain,
    multiply(d,add(inverse(c),Z)) = multiply(d,add(Z,inverse(c))),
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),Z)),add(inverse(c),multiply(d,Z))) )],[refute_0_1236,refute_0_1266]) ).

cnf(refute_0_1268,plain,
    ( multiply(d,add(inverse(c),Z)) != multiply(d,add(Z,inverse(c)))
    | multiply(d,add(Z,inverse(c))) = multiply(d,add(inverse(c),Z)) ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(multiply(d,add(inverse(c),Z)))),bind(Y0,$fot(multiply(d,add(Z,inverse(c)))))]]) ).

cnf(refute_0_1269,plain,
    multiply(d,add(Z,inverse(c))) = multiply(d,add(inverse(c),Z)),
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),Z)),multiply(d,add(Z,inverse(c)))) )],[refute_0_1267,refute_0_1268]) ).

cnf(refute_0_1270,plain,
    multiply(d,add(add(b,inverse(a)),inverse(c))) = multiply(d,add(inverse(c),add(b,inverse(a)))),
    inference(subst,[],[refute_0_1269:[bind(Z,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_1271,plain,
    add(multiply(X,d),inverse(c)) = multiply(add(X,inverse(c)),add(d,inverse(c))),
    inference(subst,[],[distributivity1:[bind(Y,$fot(d)),bind(Z,$fot(inverse(c)))]]) ).

cnf(refute_0_1272,plain,
    ( add(multiply(X,d),inverse(c)) != multiply(add(X,inverse(c)),add(d,inverse(c)))
    | add(d,inverse(c)) != d
    | add(multiply(X,d),inverse(c)) = multiply(add(X,inverse(c)),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,d),inverse(c)),multiply(add(X,inverse(c)),add(d,inverse(c)))) ),[1,1],$fot(d)]]) ).

cnf(refute_0_1273,plain,
    ( add(multiply(X,d),inverse(c)) != multiply(add(X,inverse(c)),add(d,inverse(c)))
    | add(multiply(X,d),inverse(c)) = multiply(add(X,inverse(c)),d) ),
    inference(resolve,[$cnf( $equal(add(d,inverse(c)),d) )],[refute_0_1256,refute_0_1272]) ).

cnf(refute_0_1274,plain,
    add(multiply(X,d),inverse(c)) = multiply(add(X,inverse(c)),d),
    inference(resolve,[$cnf( $equal(add(multiply(X,d),inverse(c)),multiply(add(X,inverse(c)),add(d,inverse(c)))) )],[refute_0_1271,refute_0_1273]) ).

cnf(refute_0_1275,plain,
    add(multiply(X,d),inverse(c)) = add(inverse(c),multiply(X,d)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(multiply(X,d))),bind(Z,$fot(inverse(c)))]]) ).

cnf(refute_0_1276,plain,
    ( add(multiply(X,d),inverse(c)) != multiply(add(X,inverse(c)),d)
    | add(multiply(X,d),inverse(c)) != add(inverse(c),multiply(X,d))
    | add(inverse(c),multiply(X,d)) = multiply(add(X,inverse(c)),d) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,d),inverse(c)),multiply(add(X,inverse(c)),d)) ),[0],$fot(add(inverse(c),multiply(X,d)))]]) ).

cnf(refute_0_1277,plain,
    ( add(multiply(X,d),inverse(c)) != multiply(add(X,inverse(c)),d)
    | add(inverse(c),multiply(X,d)) = multiply(add(X,inverse(c)),d) ),
    inference(resolve,[$cnf( $equal(add(multiply(X,d),inverse(c)),add(inverse(c),multiply(X,d))) )],[refute_0_1275,refute_0_1276]) ).

cnf(refute_0_1278,plain,
    multiply(add(X,inverse(c)),d) = multiply(d,add(X,inverse(c))),
    inference(subst,[],[refute_0_44:[bind(X,$fot(d)),bind(Y,$fot(add(X,inverse(c))))]]) ).

cnf(refute_0_1279,plain,
    ( multiply(add(X,inverse(c)),d) != multiply(d,add(X,inverse(c)))
    | add(inverse(c),multiply(X,d)) != multiply(add(X,inverse(c)),d)
    | add(inverse(c),multiply(X,d)) = multiply(d,add(X,inverse(c))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(X,d)),multiply(add(X,inverse(c)),d)) ),[1],$fot(multiply(d,add(X,inverse(c))))]]) ).

cnf(refute_0_1280,plain,
    ( add(inverse(c),multiply(X,d)) != multiply(add(X,inverse(c)),d)
    | add(inverse(c),multiply(X,d)) = multiply(d,add(X,inverse(c))) ),
    inference(resolve,[$cnf( $equal(multiply(add(X,inverse(c)),d),multiply(d,add(X,inverse(c)))) )],[refute_0_1278,refute_0_1279]) ).

cnf(refute_0_1281,plain,
    ( add(multiply(X,d),inverse(c)) != multiply(add(X,inverse(c)),d)
    | add(inverse(c),multiply(X,d)) = multiply(d,add(X,inverse(c))) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(X,d)),multiply(add(X,inverse(c)),d)) )],[refute_0_1277,refute_0_1280]) ).

cnf(refute_0_1282,plain,
    add(inverse(c),multiply(X,d)) = multiply(d,add(X,inverse(c))),
    inference(resolve,[$cnf( $equal(add(multiply(X,d),inverse(c)),multiply(add(X,inverse(c)),d)) )],[refute_0_1274,refute_0_1281]) ).

cnf(refute_0_1283,plain,
    add(inverse(c),multiply(add(b,inverse(a)),d)) = multiply(d,add(add(b,inverse(a)),inverse(c))),
    inference(subst,[],[refute_0_1282:[bind(X,$fot(add(b,inverse(a))))]]) ).

cnf(refute_0_1284,plain,
    ( multiply(d,add(add(b,inverse(a)),inverse(c))) != multiply(d,add(inverse(c),add(b,inverse(a))))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) != multiply(d,add(add(b,inverse(a)),inverse(c)))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = multiply(d,add(inverse(c),add(b,inverse(a)))) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(c),multiply(add(b,inverse(a)),d)))),bind(Y0,$fot(multiply(d,add(add(b,inverse(a)),inverse(c))))),bind(Z0,$fot(multiply(d,add(inverse(c),add(b,inverse(a))))))]]) ).

cnf(refute_0_1285,plain,
    ( multiply(d,add(add(b,inverse(a)),inverse(c))) != multiply(d,add(inverse(c),add(b,inverse(a))))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = multiply(d,add(inverse(c),add(b,inverse(a)))) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),multiply(d,add(add(b,inverse(a)),inverse(c)))) )],[refute_0_1283,refute_0_1284]) ).

cnf(refute_0_1286,plain,
    add(inverse(c),multiply(add(b,inverse(a)),d)) = multiply(d,add(inverse(c),add(b,inverse(a)))),
    inference(resolve,[$cnf( $equal(multiply(d,add(add(b,inverse(a)),inverse(c))),multiply(d,add(inverse(c),add(b,inverse(a))))) )],[refute_0_1270,refute_0_1285]) ).

cnf(refute_0_1287,plain,
    ( multiply(d,add(inverse(c),add(b,inverse(a)))) != d
    | add(inverse(c),multiply(add(b,inverse(a)),d)) != multiply(d,add(inverse(c),add(b,inverse(a))))
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = d ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(c),multiply(add(b,inverse(a)),d)))),bind(Y0,$fot(multiply(d,add(inverse(c),add(b,inverse(a)))))),bind(Z0,$fot(d))]]) ).

cnf(refute_0_1288,plain,
    ( multiply(d,add(inverse(c),add(b,inverse(a)))) != d
    | add(inverse(c),multiply(add(b,inverse(a)),d)) = d ),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),multiply(d,add(inverse(c),add(b,inverse(a))))) )],[refute_0_1286,refute_0_1287]) ).

cnf(refute_0_1289,plain,
    add(inverse(c),multiply(add(b,inverse(a)),d)) = d,
    inference(resolve,[$cnf( $equal(multiply(d,add(inverse(c),add(b,inverse(a)))),d) )],[refute_0_1097,refute_0_1288]) ).

cnf(refute_0_1290,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),d)) != add(inverse(c),additive_identity)
    | add(inverse(c),multiply(add(b,inverse(a)),d)) != d
    | d = add(inverse(c),additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),add(inverse(c),additive_identity)) ),[0],$fot(d)]]) ).

cnf(refute_0_1291,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),d)) != add(inverse(c),additive_identity)
    | d = add(inverse(c),additive_identity) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),d) )],[refute_0_1289,refute_0_1290]) ).

cnf(refute_0_1292,plain,
    add(additive_identity,inverse(c)) = inverse(c),
    inference(subst,[],[additive_id2:[bind(X,$fot(inverse(c)))]]) ).

cnf(refute_0_1293,plain,
    add(inverse(c),additive_identity) = add(additive_identity,inverse(c)),
    inference(subst,[],[refute_0_819:[bind(X,$fot(inverse(c))),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_1294,plain,
    ( add(additive_identity,inverse(c)) != inverse(c)
    | add(inverse(c),additive_identity) != add(additive_identity,inverse(c))
    | add(inverse(c),additive_identity) = inverse(c) ),
    inference(subst,[],[refute_0_95:[bind(X0,$fot(add(inverse(c),additive_identity))),bind(Y0,$fot(add(additive_identity,inverse(c)))),bind(Z0,$fot(inverse(c)))]]) ).

cnf(refute_0_1295,plain,
    ( add(additive_identity,inverse(c)) != inverse(c)
    | add(inverse(c),additive_identity) = inverse(c) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),additive_identity),add(additive_identity,inverse(c))) )],[refute_0_1293,refute_0_1294]) ).

cnf(refute_0_1296,plain,
    add(inverse(c),additive_identity) = inverse(c),
    inference(resolve,[$cnf( $equal(add(additive_identity,inverse(c)),inverse(c)) )],[refute_0_1292,refute_0_1295]) ).

cnf(refute_0_1297,plain,
    ( add(inverse(c),additive_identity) != inverse(c)
    | d != add(inverse(c),additive_identity)
    | d = inverse(c) ),
    introduced(tautology,[equality,[$cnf( $equal(d,add(inverse(c),additive_identity)) ),[1],$fot(inverse(c))]]) ).

cnf(refute_0_1298,plain,
    ( d != add(inverse(c),additive_identity)
    | d = inverse(c) ),
    inference(resolve,[$cnf( $equal(add(inverse(c),additive_identity),inverse(c)) )],[refute_0_1296,refute_0_1297]) ).

cnf(refute_0_1299,plain,
    ( add(inverse(c),multiply(add(b,inverse(a)),d)) != add(inverse(c),additive_identity)
    | d = inverse(c) ),
    inference(resolve,[$cnf( $equal(d,add(inverse(c),additive_identity)) )],[refute_0_1291,refute_0_1298]) ).

cnf(refute_0_1300,plain,
    d = inverse(c),
    inference(resolve,[$cnf( $equal(add(inverse(c),multiply(add(b,inverse(a)),d)),add(inverse(c),additive_identity)) )],[refute_0_869,refute_0_1299]) ).

cnf(refute_0_1301,plain,
    ( d != inverse(c)
    | inverse(c) = d ),
    inference(subst,[],[refute_0_8:[bind(X0,$fot(d)),bind(Y0,$fot(inverse(c)))]]) ).

cnf(refute_0_1302,plain,
    d != inverse(c),
    inference(resolve,[$cnf( $equal(inverse(c),d) )],[refute_0_1301,prove_c_inverse_is_d]) ).

cnf(refute_0_1303,plain,
    $false,
    inference(resolve,[$cnf( $equal(d,inverse(c)) )],[refute_0_1300,refute_0_1302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : BOO014-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : metis --show proof --show saturation %s
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun  1 17:21:11 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.29/2.54  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.29/2.54  
% 2.29/2.54  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.48/2.65  
%------------------------------------------------------------------------------