%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n024.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 23:44:25 EDT 2022

% Result   : Unsatisfiable 0.55s 0.71s
% Output   : CNFRefutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   72
%            Number of leaves      :  132
% Syntax   : Number of clauses     :  584 ( 299 unt;   0 nHn; 285 RR)
%            Number of literals    :  988 ( 987 equ; 406 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    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  869 (  24 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(prove_right_identity,negated_conjecture,
    multiply(a,additive_identity) != additive_identity ).

cnf(refute_0_0,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_1,plain,
    add(additive_identity,X_12) = X_12,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_12))]]) ).

cnf(refute_0_2,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_3,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_1,refute_0_2]) ).

cnf(refute_0_4,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_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    X0 = X0,
    introduced(tautology,[refl,[$fot(X0)]]) ).

cnf(refute_0_6,plain,
    ( X0 != X0
    | X0 != Y0
    | Y0 = X0 ),
    introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).

cnf(refute_0_7,plain,
    ( X0 != Y0
    | Y0 = X0 ),
    inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_5,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( multiply(X,Y) != multiply(Y,X)
    | multiply(Y,X) = multiply(X,Y) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).

cnf(refute_0_9,plain,
    multiply(Y,X) = multiply(X,Y),
    inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_8]) ).

cnf(refute_0_10,plain,
    multiply(add(X_10,X_12),X_12) = multiply(X_12,add(X_10,X_12)),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_12)),bind(Y,$fot(add(X_10,X_12)))]]) ).

cnf(refute_0_11,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_12,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_10,refute_0_11]) ).

cnf(refute_0_13,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_4,refute_0_12]) ).

cnf(refute_0_14,plain,
    add(multiply(multiplicative_identity,additive_identity),X_14) = multiply(X_14,add(multiplicative_identity,X_14)),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(multiplicative_identity)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_15,plain,
    multiply(multiplicative_identity,additive_identity) = additive_identity,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(additive_identity))]]) ).

cnf(refute_0_16,plain,
    ( multiply(multiplicative_identity,additive_identity) != additive_identity
    | add(multiply(multiplicative_identity,additive_identity),X_14) != multiply(X_14,add(multiplicative_identity,X_14))
    | add(additive_identity,X_14) = multiply(X_14,add(multiplicative_identity,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,additive_identity),X_14),multiply(X_14,add(multiplicative_identity,X_14))) ),[0,0],$fot(additive_identity)]]) ).

cnf(refute_0_17,plain,
    ( add(multiply(multiplicative_identity,additive_identity),X_14) != multiply(X_14,add(multiplicative_identity,X_14))
    | add(additive_identity,X_14) = multiply(X_14,add(multiplicative_identity,X_14)) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,additive_identity),additive_identity) )],[refute_0_15,refute_0_16]) ).

cnf(refute_0_18,plain,
    add(additive_identity,X_14) = multiply(X_14,add(multiplicative_identity,X_14)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,additive_identity),X_14),multiply(X_14,add(multiplicative_identity,X_14))) )],[refute_0_14,refute_0_17]) ).

cnf(refute_0_19,plain,
    add(additive_identity,X_14) = X_14,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_14))]]) ).

cnf(refute_0_20,plain,
    ( add(additive_identity,X_14) != X_14
    | add(additive_identity,X_14) != multiply(X_14,add(multiplicative_identity,X_14))
    | X_14 = multiply(X_14,add(multiplicative_identity,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,X_14),multiply(X_14,add(multiplicative_identity,X_14))) ),[0],$fot(X_14)]]) ).

cnf(refute_0_21,plain,
    ( add(additive_identity,X_14) != multiply(X_14,add(multiplicative_identity,X_14))
    | X_14 = multiply(X_14,add(multiplicative_identity,X_14)) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_14),X_14) )],[refute_0_19,refute_0_20]) ).

cnf(refute_0_22,plain,
    X_14 = multiply(X_14,add(multiplicative_identity,X_14)),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_14),multiply(X_14,add(multiplicative_identity,X_14))) )],[refute_0_18,refute_0_21]) ).

cnf(refute_0_23,plain,
    X_15 = multiply(X_15,add(multiplicative_identity,X_15)),
    inference(subst,[],[refute_0_22:[bind(X_14,$fot(X_15))]]) ).

cnf(refute_0_24,plain,
    add(X_15,multiplicative_identity) = add(multiplicative_identity,X_15),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_15)),bind(Y,$fot(multiplicative_identity))]]) ).

cnf(refute_0_25,plain,
    ( add(X_15,multiplicative_identity) != add(multiplicative_identity,X_15)
    | add(multiplicative_identity,X_15) = add(X_15,multiplicative_identity) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_15,multiplicative_identity))),bind(Y0,$fot(add(multiplicative_identity,X_15)))]]) ).

cnf(refute_0_26,plain,
    add(multiplicative_identity,X_15) = add(X_15,multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(X_15,multiplicative_identity),add(multiplicative_identity,X_15)) )],[refute_0_24,refute_0_25]) ).

cnf(refute_0_27,plain,
    ( X_15 != multiply(X_15,add(multiplicative_identity,X_15))
    | add(multiplicative_identity,X_15) != add(X_15,multiplicative_identity)
    | X_15 = multiply(X_15,add(X_15,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(X_15,multiply(X_15,add(multiplicative_identity,X_15))) ),[1,1],$fot(add(X_15,multiplicative_identity))]]) ).

cnf(refute_0_28,plain,
    ( X_15 != multiply(X_15,add(multiplicative_identity,X_15))
    | X_15 = multiply(X_15,add(X_15,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_15),add(X_15,multiplicative_identity)) )],[refute_0_26,refute_0_27]) ).

cnf(refute_0_29,plain,
    X_15 = multiply(X_15,add(X_15,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(X_15,multiply(X_15,add(multiplicative_identity,X_15))) )],[refute_0_23,refute_0_28]) ).

cnf(refute_0_30,plain,
    multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiplicative_identity)),
    inference(subst,[],[refute_0_29:[bind(X_15,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_31,plain,
    add(multiply(X_10,additive_identity),multiplicative_identity) = multiply(multiplicative_identity,add(X_10,multiplicative_identity)),
    inference(subst,[],[refute_0_13:[bind(X_12,$fot(multiplicative_identity))]]) ).

cnf(refute_0_32,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiplicative_identity))
    | add(multiply(X_10,additive_identity),multiplicative_identity) != multiply(multiplicative_identity,add(X_10,multiplicative_identity))
    | multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiplicative_identity))) ),[1,1],$fot(multiply(multiplicative_identity,add(X_10,multiplicative_identity)))]]) ).

cnf(refute_0_33,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiplicative_identity))
    | multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiplicative_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) )],[refute_0_31,refute_0_32]) ).

cnf(refute_0_34,plain,
    multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),
    inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiplicative_identity))) )],[refute_0_30,refute_0_33]) ).

cnf(refute_0_35,plain,
    multiply(multiplicative_identity,add(X_10,multiplicative_identity)) = add(X_10,multiplicative_identity),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_10,multiplicative_identity)))]]) ).

cnf(refute_0_36,plain,
    multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))))]]) ).

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

cnf(refute_0_38,plain,
    ( multiply(multiplicative_identity,add(X_10,multiplicative_identity)) != add(X_10,multiplicative_identity)
    | multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) )],[refute_0_36,refute_0_37]) ).

cnf(refute_0_39,plain,
    multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,multiplicative_identity)),add(X_10,multiplicative_identity)) )],[refute_0_35,refute_0_38]) ).

cnf(refute_0_40,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))
    | multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) != multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))
    | multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))) ),[0],$fot(multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))))]]) ).

cnf(refute_0_41,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))
    | multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))) )],[refute_0_39,refute_0_40]) ).

cnf(refute_0_42,plain,
    multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) )],[refute_0_34,refute_0_41]) ).

cnf(refute_0_43,plain,
    add(X_29,multiply(X_30,additive_identity)) = multiply(add(X_29,X_30),add(X_29,additive_identity)),
    inference(subst,[],[distributivity2:[bind(X,$fot(X_29)),bind(Y,$fot(X_30)),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_44,plain,
    add(X_29,additive_identity) = X_29,
    inference(subst,[],[additive_id1:[bind(X,$fot(X_29))]]) ).

cnf(refute_0_45,plain,
    ( add(X_29,multiply(X_30,additive_identity)) != multiply(add(X_29,X_30),add(X_29,additive_identity))
    | add(X_29,additive_identity) != X_29
    | add(X_29,multiply(X_30,additive_identity)) = multiply(add(X_29,X_30),X_29) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_29,multiply(X_30,additive_identity)),multiply(add(X_29,X_30),add(X_29,additive_identity))) ),[1,1],$fot(X_29)]]) ).

cnf(refute_0_46,plain,
    ( add(X_29,multiply(X_30,additive_identity)) != multiply(add(X_29,X_30),add(X_29,additive_identity))
    | add(X_29,multiply(X_30,additive_identity)) = multiply(add(X_29,X_30),X_29) ),
    inference(resolve,[$cnf( $equal(add(X_29,additive_identity),X_29) )],[refute_0_44,refute_0_45]) ).

cnf(refute_0_47,plain,
    add(X_29,multiply(X_30,additive_identity)) = multiply(add(X_29,X_30),X_29),
    inference(resolve,[$cnf( $equal(add(X_29,multiply(X_30,additive_identity)),multiply(add(X_29,X_30),add(X_29,additive_identity))) )],[refute_0_43,refute_0_46]) ).

cnf(refute_0_48,plain,
    multiply(add(X_29,X_30),X_29) = multiply(X_29,add(X_29,X_30)),
    inference(subst,[],[refute_0_9:[bind(X,$fot(X_29)),bind(Y,$fot(add(X_29,X_30)))]]) ).

cnf(refute_0_49,plain,
    ( multiply(add(X_29,X_30),X_29) != multiply(X_29,add(X_29,X_30))
    | add(X_29,multiply(X_30,additive_identity)) != multiply(add(X_29,X_30),X_29)
    | add(X_29,multiply(X_30,additive_identity)) = multiply(X_29,add(X_29,X_30)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_29,multiply(X_30,additive_identity)),multiply(add(X_29,X_30),X_29)) ),[1],$fot(multiply(X_29,add(X_29,X_30)))]]) ).

cnf(refute_0_50,plain,
    ( add(X_29,multiply(X_30,additive_identity)) != multiply(add(X_29,X_30),X_29)
    | add(X_29,multiply(X_30,additive_identity)) = multiply(X_29,add(X_29,X_30)) ),
    inference(resolve,[$cnf( $equal(multiply(add(X_29,X_30),X_29),multiply(X_29,add(X_29,X_30))) )],[refute_0_48,refute_0_49]) ).

cnf(refute_0_51,plain,
    add(X_29,multiply(X_30,additive_identity)) = multiply(X_29,add(X_29,X_30)),
    inference(resolve,[$cnf( $equal(add(X_29,multiply(X_30,additive_identity)),multiply(add(X_29,X_30),X_29)) )],[refute_0_47,refute_0_50]) ).

cnf(refute_0_52,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),X_40)),
    inference(subst,[],[refute_0_51:[bind(X_29,$fot(multiply(X_10,additive_identity))),bind(X_30,$fot(X_40))]]) ).

cnf(refute_0_53,plain,
    add(multiply(X_10,additive_identity),X_40) = multiply(X_40,add(X_10,X_40)),
    inference(subst,[],[refute_0_13:[bind(X_12,$fot(X_40))]]) ).

cnf(refute_0_54,plain,
    ( add(multiply(X_10,additive_identity),X_40) != multiply(X_40,add(X_10,X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),X_40))) ),[1,1],$fot(multiply(X_40,add(X_10,X_40)))]]) ).

cnf(refute_0_55,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_40),multiply(X_40,add(X_10,X_40))) )],[refute_0_53,refute_0_54]) ).

cnf(refute_0_56,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),X_40))) )],[refute_0_52,refute_0_55]) ).

cnf(refute_0_57,plain,
    multiply(add(X_10,X_40),additive_identity) = multiply(additive_identity,add(X_10,X_40)),
    inference(subst,[],[refute_0_9:[bind(X,$fot(additive_identity)),bind(Y,$fot(add(X_10,X_40)))]]) ).

cnf(refute_0_58,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_7:[bind(X0,$fot(multiply(add(X,Y),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(Y,Z))))]]) ).

cnf(refute_0_59,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_58]) ).

cnf(refute_0_60,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(add(X_10,X_40),additive_identity),
    inference(subst,[],[refute_0_59:[bind(X,$fot(X_10)),bind(Y,$fot(X_40)),bind(Z,$fot(additive_identity))]]) ).

cnf(refute_0_61,plain,
    ( Y0 != X0
    | Y0 != Z0
    | X0 = Z0 ),
    introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).

cnf(refute_0_62,plain,
    ( X0 != Y0
    | Y0 != Z0
    | X0 = Z0 ),
    inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_7,refute_0_61]) ).

cnf(refute_0_63,plain,
    ( multiply(add(X_10,X_40),additive_identity) != multiply(additive_identity,add(X_10,X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(add(X_10,X_40),additive_identity)
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_10,X_40)) ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)))),bind(Y0,$fot(multiply(add(X_10,X_40),additive_identity))),bind(Z0,$fot(multiply(additive_identity,add(X_10,X_40))))]]) ).

cnf(refute_0_64,plain,
    ( multiply(add(X_10,X_40),additive_identity) != multiply(additive_identity,add(X_10,X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_10,X_40)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(add(X_10,X_40),additive_identity)) )],[refute_0_60,refute_0_63]) ).

cnf(refute_0_65,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_10,X_40)),
    inference(resolve,[$cnf( $equal(multiply(add(X_10,X_40),additive_identity),multiply(additive_identity,add(X_10,X_40))) )],[refute_0_57,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(additive_identity,add(X_10,X_40))
    | multiply(additive_identity,add(X_10,X_40)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) ),[0],$fot(multiply(additive_identity,add(X_10,X_40)))]]) ).

cnf(refute_0_67,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(additive_identity,add(X_10,X_40))) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    multiply(additive_identity,add(X_10,X_40)) = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) )],[refute_0_56,refute_0_67]) ).

cnf(refute_0_69,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_13:[bind(X_12,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_70,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_71,plain,
    add(X_11,inverse(X_11)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_72,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_73,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_71,refute_0_72]) ).

cnf(refute_0_74,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_70,refute_0_73]) ).

cnf(refute_0_75,plain,
    ( add(X,Y) != add(Y,X)
    | add(Y,X) = add(X,Y) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).

cnf(refute_0_76,plain,
    add(Y,X) = add(X,Y),
    inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_75]) ).

cnf(refute_0_77,plain,
    add(multiply(X_10,X_11),inverse(X_11)) = add(inverse(X_11),multiply(X_10,X_11)),
    inference(subst,[],[refute_0_76:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).

cnf(refute_0_78,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_79,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_77,refute_0_78]) ).

cnf(refute_0_80,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_81,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_82,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_80,refute_0_81]) ).

cnf(refute_0_83,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_79,refute_0_82]) ).

cnf(refute_0_84,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_74,refute_0_83]) ).

cnf(refute_0_85,plain,
    add(inverse(inverse(X_17)),multiply(X_17,inverse(X_17))) = add(X_17,inverse(inverse(X_17))),
    inference(subst,[],[refute_0_84:[bind(X_10,$fot(X_17)),bind(X_11,$fot(inverse(X_17)))]]) ).

cnf(refute_0_86,plain,
    multiply(X_17,inverse(X_17)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_17))]]) ).

cnf(refute_0_87,plain,
    ( multiply(X_17,inverse(X_17)) != additive_identity
    | add(inverse(inverse(X_17)),multiply(X_17,inverse(X_17))) != add(X_17,inverse(inverse(X_17)))
    | add(inverse(inverse(X_17)),additive_identity) = add(X_17,inverse(inverse(X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_17)),multiply(X_17,inverse(X_17))),add(X_17,inverse(inverse(X_17)))) ),[0,1],$fot(additive_identity)]]) ).

cnf(refute_0_88,plain,
    ( add(inverse(inverse(X_17)),multiply(X_17,inverse(X_17))) != add(X_17,inverse(inverse(X_17)))
    | add(inverse(inverse(X_17)),additive_identity) = add(X_17,inverse(inverse(X_17))) ),
    inference(resolve,[$cnf( $equal(multiply(X_17,inverse(X_17)),additive_identity) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    add(inverse(inverse(X_17)),additive_identity) = add(X_17,inverse(inverse(X_17))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_17)),multiply(X_17,inverse(X_17))),add(X_17,inverse(inverse(X_17)))) )],[refute_0_85,refute_0_88]) ).

cnf(refute_0_90,plain,
    add(inverse(inverse(X_17)),additive_identity) = inverse(inverse(X_17)),
    inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_17))))]]) ).

cnf(refute_0_91,plain,
    ( add(inverse(inverse(X_17)),additive_identity) != add(X_17,inverse(inverse(X_17)))
    | add(inverse(inverse(X_17)),additive_identity) != inverse(inverse(X_17))
    | inverse(inverse(X_17)) = add(X_17,inverse(inverse(X_17))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_17)),additive_identity),add(X_17,inverse(inverse(X_17)))) ),[0],$fot(inverse(inverse(X_17)))]]) ).

cnf(refute_0_92,plain,
    ( add(inverse(inverse(X_17)),additive_identity) != add(X_17,inverse(inverse(X_17)))
    | inverse(inverse(X_17)) = add(X_17,inverse(inverse(X_17))) ),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_17)),additive_identity),inverse(inverse(X_17))) )],[refute_0_90,refute_0_91]) ).

cnf(refute_0_93,plain,
    inverse(inverse(X_17)) = add(X_17,inverse(inverse(X_17))),
    inference(resolve,[$cnf( $equal(add(inverse(inverse(X_17)),additive_identity),add(X_17,inverse(inverse(X_17)))) )],[refute_0_89,refute_0_92]) ).

cnf(refute_0_94,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_93:[bind(X_17,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_95,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_7:[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_96,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_94,refute_0_95]) ).

cnf(refute_0_97,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_98,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_96,refute_0_97]) ).

cnf(refute_0_99,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_69,refute_0_98]) ).

cnf(refute_0_100,plain,
    add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_13,X_14)),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_101,plain,
    multiply(additive_identity,X_13) = multiply(X_13,additive_identity),
    inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_13))]]) ).

cnf(refute_0_102,plain,
    ( multiply(additive_identity,X_13) != multiply(X_13,additive_identity)
    | multiply(X_13,additive_identity) = multiply(additive_identity,X_13) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,X_13))),bind(Y0,$fot(multiply(X_13,additive_identity)))]]) ).

cnf(refute_0_103,plain,
    multiply(X_13,additive_identity) = multiply(additive_identity,X_13),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_13),multiply(X_13,additive_identity)) )],[refute_0_101,refute_0_102]) ).

cnf(refute_0_104,plain,
    ( multiply(X_13,additive_identity) != multiply(additive_identity,X_13)
    | add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
    | add(multiply(additive_identity,X_13),X_14) = multiply(X_14,add(X_13,X_14)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) ),[0,0],$fot(multiply(additive_identity,X_13))]]) ).

cnf(refute_0_105,plain,
    ( add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
    | add(multiply(additive_identity,X_13),X_14) = multiply(X_14,add(X_13,X_14)) ),
    inference(resolve,[$cnf( $equal(multiply(X_13,additive_identity),multiply(additive_identity,X_13)) )],[refute_0_103,refute_0_104]) ).

cnf(refute_0_106,plain,
    add(multiply(additive_identity,X_13),X_14) = multiply(X_14,add(X_13,X_14)),
    inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) )],[refute_0_100,refute_0_105]) ).

cnf(refute_0_107,plain,
    ( add(multiply(additive_identity,X_13),X_14) != multiply(X_14,add(X_13,X_14))
    | multiply(X_14,add(X_13,X_14)) = add(multiply(additive_identity,X_13),X_14) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(additive_identity,X_13),X_14))),bind(Y0,$fot(multiply(X_14,add(X_13,X_14))))]]) ).

cnf(refute_0_108,plain,
    multiply(X_14,add(X_13,X_14)) = add(multiply(additive_identity,X_13),X_14),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_13),X_14),multiply(X_14,add(X_13,X_14))) )],[refute_0_106,refute_0_107]) ).

cnf(refute_0_109,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_108:[bind(X_13,$fot(X_10)),bind(X_14,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_110,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_111,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_109,refute_0_110]) ).

cnf(refute_0_112,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_99,refute_0_111]) ).

cnf(refute_0_113,plain,
    multiply(multiplicative_identity,inverse(multiplicative_identity)) = additive_identity,
    inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(multiplicative_identity))]]) ).

cnf(refute_0_114,plain,
    multiply(multiplicative_identity,inverse(multiplicative_identity)) = inverse(multiplicative_identity),
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(multiplicative_identity)))]]) ).

cnf(refute_0_115,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_116,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_114,refute_0_115]) ).

cnf(refute_0_117,plain,
    inverse(multiplicative_identity) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) )],[refute_0_113,refute_0_116]) ).

cnf(refute_0_118,plain,
    add(X,multiply(X_13,additive_identity)) = add(multiply(X_13,additive_identity),X),
    inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(X_13,additive_identity)))]]) ).

cnf(refute_0_119,plain,
    add(multiply(X_13,additive_identity),X) = multiply(X,add(X_13,X)),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X))]]) ).

cnf(refute_0_120,plain,
    ( add(X,multiply(X_13,additive_identity)) != add(multiply(X_13,additive_identity),X)
    | add(multiply(X_13,additive_identity),X) != multiply(X,add(X_13,X))
    | add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(X_13,additive_identity)),multiply(X,add(X_13,X))) ),[0],$fot(add(multiply(X_13,additive_identity),X))]]) ).

cnf(refute_0_121,plain,
    ( add(X,multiply(X_13,additive_identity)) != add(multiply(X_13,additive_identity),X)
    | add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X),multiply(X,add(X_13,X))) )],[refute_0_119,refute_0_120]) ).

cnf(refute_0_122,plain,
    add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)),
    inference(resolve,[$cnf( $equal(add(X,multiply(X_13,additive_identity)),add(multiply(X_13,additive_identity),X)) )],[refute_0_118,refute_0_121]) ).

cnf(refute_0_123,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiply(inverse(multiply(X_49,additive_identity)),add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity)))),
    inference(subst,[],[refute_0_122:[bind(X,$fot(inverse(multiply(X_49,additive_identity)))),bind(X_13,$fot(add(multiplicative_identity,X_49)))]]) ).

cnf(refute_0_124,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_125,plain,
    add(X_10,inverse(X_10)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_126,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_127,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_125,refute_0_126]) ).

cnf(refute_0_128,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_124,refute_0_127]) ).

cnf(refute_0_129,plain,
    add(multiply(X_10,X_11),inverse(X_10)) = add(inverse(X_10),multiply(X_10,X_11)),
    inference(subst,[],[refute_0_76:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).

cnf(refute_0_130,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_131,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_129,refute_0_130]) ).

cnf(refute_0_132,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_133,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_134,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_132,refute_0_133]) ).

cnf(refute_0_135,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_131,refute_0_134]) ).

cnf(refute_0_136,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_128,refute_0_135]) ).

cnf(refute_0_137,plain,
    add(inverse(X_23),multiply(X_23,add(X_23,multiplicative_identity))) = add(add(X_23,multiplicative_identity),inverse(X_23)),
    inference(subst,[],[refute_0_136:[bind(X_10,$fot(X_23)),bind(X_11,$fot(add(X_23,multiplicative_identity)))]]) ).

cnf(refute_0_138,plain,
    X_23 = multiply(X_23,add(X_23,multiplicative_identity)),
    inference(subst,[],[refute_0_29:[bind(X_15,$fot(X_23))]]) ).

cnf(refute_0_139,plain,
    ( X_23 != multiply(X_23,add(X_23,multiplicative_identity))
    | multiply(X_23,add(X_23,multiplicative_identity)) = X_23 ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(X_23)),bind(Y0,$fot(multiply(X_23,add(X_23,multiplicative_identity))))]]) ).

cnf(refute_0_140,plain,
    multiply(X_23,add(X_23,multiplicative_identity)) = X_23,
    inference(resolve,[$cnf( $equal(X_23,multiply(X_23,add(X_23,multiplicative_identity))) )],[refute_0_138,refute_0_139]) ).

cnf(refute_0_141,plain,
    ( multiply(X_23,add(X_23,multiplicative_identity)) != X_23
    | add(inverse(X_23),multiply(X_23,add(X_23,multiplicative_identity))) != add(add(X_23,multiplicative_identity),inverse(X_23))
    | add(inverse(X_23),X_23) = add(add(X_23,multiplicative_identity),inverse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_23),multiply(X_23,add(X_23,multiplicative_identity))),add(add(X_23,multiplicative_identity),inverse(X_23))) ),[0,1],$fot(X_23)]]) ).

cnf(refute_0_142,plain,
    ( add(inverse(X_23),multiply(X_23,add(X_23,multiplicative_identity))) != add(add(X_23,multiplicative_identity),inverse(X_23))
    | add(inverse(X_23),X_23) = add(add(X_23,multiplicative_identity),inverse(X_23)) ),
    inference(resolve,[$cnf( $equal(multiply(X_23,add(X_23,multiplicative_identity)),X_23) )],[refute_0_140,refute_0_141]) ).

cnf(refute_0_143,plain,
    add(inverse(X_23),X_23) = add(add(X_23,multiplicative_identity),inverse(X_23)),
    inference(resolve,[$cnf( $equal(add(inverse(X_23),multiply(X_23,add(X_23,multiplicative_identity))),add(add(X_23,multiplicative_identity),inverse(X_23))) )],[refute_0_137,refute_0_142]) ).

cnf(refute_0_144,plain,
    add(X_23,inverse(X_23)) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(X_23))]]) ).

cnf(refute_0_145,plain,
    add(inverse(X_23),X_23) = add(X_23,inverse(X_23)),
    inference(subst,[],[refute_0_76:[bind(X,$fot(X_23)),bind(Y,$fot(inverse(X_23)))]]) ).

cnf(refute_0_146,plain,
    ( add(X_23,inverse(X_23)) != multiplicative_identity
    | add(inverse(X_23),X_23) != add(X_23,inverse(X_23))
    | add(inverse(X_23),X_23) = multiplicative_identity ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(inverse(X_23),X_23))),bind(Y0,$fot(add(X_23,inverse(X_23)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_147,plain,
    ( add(X_23,inverse(X_23)) != multiplicative_identity
    | add(inverse(X_23),X_23) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(X_23),X_23),add(X_23,inverse(X_23))) )],[refute_0_145,refute_0_146]) ).

cnf(refute_0_148,plain,
    add(inverse(X_23),X_23) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(X_23,inverse(X_23)),multiplicative_identity) )],[refute_0_144,refute_0_147]) ).

cnf(refute_0_149,plain,
    ( add(inverse(X_23),X_23) != add(add(X_23,multiplicative_identity),inverse(X_23))
    | add(inverse(X_23),X_23) != multiplicative_identity
    | multiplicative_identity = add(add(X_23,multiplicative_identity),inverse(X_23)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_23),X_23),add(add(X_23,multiplicative_identity),inverse(X_23))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_150,plain,
    ( add(inverse(X_23),X_23) != add(add(X_23,multiplicative_identity),inverse(X_23))
    | multiplicative_identity = add(add(X_23,multiplicative_identity),inverse(X_23)) ),
    inference(resolve,[$cnf( $equal(add(inverse(X_23),X_23),multiplicative_identity) )],[refute_0_148,refute_0_149]) ).

cnf(refute_0_151,plain,
    add(add(X_23,multiplicative_identity),inverse(X_23)) = add(inverse(X_23),add(X_23,multiplicative_identity)),
    inference(subst,[],[refute_0_76:[bind(X,$fot(inverse(X_23))),bind(Y,$fot(add(X_23,multiplicative_identity)))]]) ).

cnf(refute_0_152,plain,
    ( add(add(X_23,multiplicative_identity),inverse(X_23)) != add(inverse(X_23),add(X_23,multiplicative_identity))
    | multiplicative_identity != add(add(X_23,multiplicative_identity),inverse(X_23))
    | multiplicative_identity = add(inverse(X_23),add(X_23,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_23,multiplicative_identity),inverse(X_23))) ),[1],$fot(add(inverse(X_23),add(X_23,multiplicative_identity)))]]) ).

cnf(refute_0_153,plain,
    ( multiplicative_identity != add(add(X_23,multiplicative_identity),inverse(X_23))
    | multiplicative_identity = add(inverse(X_23),add(X_23,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(add(X_23,multiplicative_identity),inverse(X_23)),add(inverse(X_23),add(X_23,multiplicative_identity))) )],[refute_0_151,refute_0_152]) ).

cnf(refute_0_154,plain,
    ( add(inverse(X_23),X_23) != add(add(X_23,multiplicative_identity),inverse(X_23))
    | multiplicative_identity = add(inverse(X_23),add(X_23,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_23,multiplicative_identity),inverse(X_23))) )],[refute_0_150,refute_0_153]) ).

cnf(refute_0_155,plain,
    multiplicative_identity = add(inverse(X_23),add(X_23,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(add(inverse(X_23),X_23),add(add(X_23,multiplicative_identity),inverse(X_23))) )],[refute_0_143,refute_0_154]) ).

cnf(refute_0_156,plain,
    multiplicative_identity = add(inverse(multiply(X_10,additive_identity)),add(multiply(X_10,additive_identity),multiplicative_identity)),
    inference(subst,[],[refute_0_155:[bind(X_23,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_157,plain,
    ( add(multiply(X_10,additive_identity),multiplicative_identity) != multiply(multiplicative_identity,add(X_10,multiplicative_identity))
    | multiplicative_identity != add(inverse(multiply(X_10,additive_identity)),add(multiply(X_10,additive_identity),multiplicative_identity))
    | multiplicative_identity = add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,additive_identity)),add(multiply(X_10,additive_identity),multiplicative_identity))) ),[1,1],$fot(multiply(multiplicative_identity,add(X_10,multiplicative_identity)))]]) ).

cnf(refute_0_158,plain,
    ( multiplicative_identity != add(inverse(multiply(X_10,additive_identity)),add(multiply(X_10,additive_identity),multiplicative_identity))
    | multiplicative_identity = add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiplicative_identity),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) )],[refute_0_31,refute_0_157]) ).

cnf(refute_0_159,plain,
    multiplicative_identity = add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,additive_identity)),add(multiply(X_10,additive_identity),multiplicative_identity))) )],[refute_0_156,refute_0_158]) ).

cnf(refute_0_160,plain,
    add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)) = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))),
    inference(subst,[],[refute_0_76:[bind(X,$fot(add(X_10,multiplicative_identity))),bind(Y,$fot(inverse(multiply(X_10,additive_identity))))]]) ).

cnf(refute_0_161,plain,
    add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))))]]) ).

cnf(refute_0_162,plain,
    ( multiply(multiplicative_identity,add(X_10,multiplicative_identity)) != add(X_10,multiplicative_identity)
    | add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) != add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))
    | add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) ),[1,1],$fot(add(X_10,multiplicative_identity))]]) ).

cnf(refute_0_163,plain,
    ( multiply(multiplicative_identity,add(X_10,multiplicative_identity)) != add(X_10,multiplicative_identity)
    | add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) )],[refute_0_161,refute_0_162]) ).

cnf(refute_0_164,plain,
    add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,multiplicative_identity)),add(X_10,multiplicative_identity)) )],[refute_0_35,refute_0_163]) ).

cnf(refute_0_165,plain,
    ( add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) != add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity))
    | add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)) != add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))
    | add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))) ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))))),bind(Y0,$fot(add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)))),bind(Z0,$fot(add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))))]]) ).

cnf(refute_0_166,plain,
    ( add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)) != add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))
    | add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity))) )],[refute_0_164,refute_0_165]) ).

cnf(refute_0_167,plain,
    add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,additive_identity)),add(X_10,multiplicative_identity)),add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))) )],[refute_0_160,refute_0_166]) ).

cnf(refute_0_168,plain,
    ( add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))) != add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))
    | multiplicative_identity != add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))
    | multiplicative_identity = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) ),[1],$fot(add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))))]]) ).

cnf(refute_0_169,plain,
    ( multiplicative_identity != add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))
    | multiplicative_identity = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity))),add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity)))) )],[refute_0_167,refute_0_168]) ).

cnf(refute_0_170,plain,
    multiplicative_identity = add(add(X_10,multiplicative_identity),inverse(multiply(X_10,additive_identity))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,additive_identity)),multiply(multiplicative_identity,add(X_10,multiplicative_identity)))) )],[refute_0_159,refute_0_169]) ).

cnf(refute_0_171,plain,
    multiplicative_identity = add(add(X_33,multiplicative_identity),inverse(multiply(X_33,additive_identity))),
    inference(subst,[],[refute_0_170:[bind(X_10,$fot(X_33))]]) ).

cnf(refute_0_172,plain,
    add(multiplicative_identity,X_33) = add(X_33,multiplicative_identity),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiplicative_identity)),bind(Y,$fot(X_33))]]) ).

cnf(refute_0_173,plain,
    ( add(multiplicative_identity,X_33) != add(X_33,multiplicative_identity)
    | add(X_33,multiplicative_identity) = add(multiplicative_identity,X_33) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiplicative_identity,X_33))),bind(Y0,$fot(add(X_33,multiplicative_identity)))]]) ).

cnf(refute_0_174,plain,
    add(X_33,multiplicative_identity) = add(multiplicative_identity,X_33),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_33),add(X_33,multiplicative_identity)) )],[refute_0_172,refute_0_173]) ).

cnf(refute_0_175,plain,
    ( add(X_33,multiplicative_identity) != add(multiplicative_identity,X_33)
    | multiplicative_identity != add(add(X_33,multiplicative_identity),inverse(multiply(X_33,additive_identity)))
    | multiplicative_identity = add(add(multiplicative_identity,X_33),inverse(multiply(X_33,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_33,multiplicative_identity),inverse(multiply(X_33,additive_identity)))) ),[1,0],$fot(add(multiplicative_identity,X_33))]]) ).

cnf(refute_0_176,plain,
    ( multiplicative_identity != add(add(X_33,multiplicative_identity),inverse(multiply(X_33,additive_identity)))
    | multiplicative_identity = add(add(multiplicative_identity,X_33),inverse(multiply(X_33,additive_identity))) ),
    inference(resolve,[$cnf( $equal(add(X_33,multiplicative_identity),add(multiplicative_identity,X_33)) )],[refute_0_174,refute_0_175]) ).

cnf(refute_0_177,plain,
    multiplicative_identity = add(add(multiplicative_identity,X_33),inverse(multiply(X_33,additive_identity))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_33,multiplicative_identity),inverse(multiply(X_33,additive_identity)))) )],[refute_0_171,refute_0_176]) ).

cnf(refute_0_178,plain,
    multiplicative_identity = add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))),
    inference(subst,[],[refute_0_177:[bind(X_33,$fot(X_49))]]) ).

cnf(refute_0_179,plain,
    ( multiplicative_identity != add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity)))
    | add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))) = multiplicative_identity ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity)))))]]) ).

cnf(refute_0_180,plain,
    add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity)))) )],[refute_0_178,refute_0_179]) ).

cnf(refute_0_181,plain,
    ( add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiply(inverse(multiply(X_49,additive_identity)),add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))))
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),multiply(inverse(multiply(X_49,additive_identity)),add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))))) ),[1,1],$fot(multiplicative_identity)]]) ).

cnf(refute_0_182,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiply(inverse(multiply(X_49,additive_identity)),add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))))
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))),multiplicative_identity) )],[refute_0_180,refute_0_181]) ).

cnf(refute_0_183,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),multiply(inverse(multiply(X_49,additive_identity)),add(add(multiplicative_identity,X_49),inverse(multiply(X_49,additive_identity))))) )],[refute_0_123,refute_0_182]) ).

cnf(refute_0_184,plain,
    add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))) = multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(X_13)),bind(X_12,$fot(inverse(multiply(X_13,additive_identity))))]]) ).

cnf(refute_0_185,plain,
    add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))) = multiplicative_identity,
    inference(subst,[],[additive_inverse1:[bind(X,$fot(multiply(X_13,additive_identity)))]]) ).

cnf(refute_0_186,plain,
    ( add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))) != multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))
    | add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))) != multiplicative_identity
    | multiplicative_identity = multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))),multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_187,plain,
    ( add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))) != multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))
    | multiplicative_identity = multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))),multiplicative_identity) )],[refute_0_185,refute_0_186]) ).

cnf(refute_0_188,plain,
    multiplicative_identity = multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))),
    inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),inverse(multiply(X_13,additive_identity))),multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))) )],[refute_0_184,refute_0_187]) ).

cnf(refute_0_189,plain,
    multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))) = add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))),
    inference(subst,[],[refute_0_108:[bind(X_14,$fot(inverse(multiply(X_13,additive_identity))))]]) ).

cnf(refute_0_190,plain,
    ( multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))) != add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity)))
    | multiplicative_identity != multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))
    | multiplicative_identity = add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))) ),[1],$fot(add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))))]]) ).

cnf(refute_0_191,plain,
    ( multiplicative_identity != multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))
    | multiplicative_identity = add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity)))),add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity)))) )],[refute_0_189,refute_0_190]) ).

cnf(refute_0_192,plain,
    multiplicative_identity = add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))),
    inference(resolve,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(X_13,additive_identity)),add(X_13,inverse(multiply(X_13,additive_identity))))) )],[refute_0_188,refute_0_191]) ).

cnf(refute_0_193,plain,
    ( multiplicative_identity != add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity)))
    | add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))) = multiplicative_identity ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity)))))]]) ).

cnf(refute_0_194,plain,
    add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(additive_identity,X_13),inverse(multiply(X_13,additive_identity)))) )],[refute_0_192,refute_0_193]) ).

cnf(refute_0_195,plain,
    add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))) = multiplicative_identity,
    inference(subst,[],[refute_0_194:[bind(X_13,$fot(X_49))]]) ).

cnf(refute_0_196,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_197,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_198,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_1,refute_0_197]) ).

cnf(refute_0_199,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_196,refute_0_198]) ).

cnf(refute_0_200,plain,
    add(X_12,multiply(X_11,additive_identity)) = multiply(X_12,add(X_11,X_12)),
    inference(subst,[],[refute_0_122:[bind(X,$fot(X_12)),bind(X_13,$fot(X_11))]]) ).

cnf(refute_0_201,plain,
    ( add(X_12,multiply(X_11,additive_identity)) != multiply(X_12,add(X_11,X_12))
    | multiply(X_12,add(X_11,X_12)) = add(X_12,multiply(X_11,additive_identity)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_12,multiply(X_11,additive_identity)))),bind(Y0,$fot(multiply(X_12,add(X_11,X_12))))]]) ).

cnf(refute_0_202,plain,
    multiply(X_12,add(X_11,X_12)) = add(X_12,multiply(X_11,additive_identity)),
    inference(resolve,[$cnf( $equal(add(X_12,multiply(X_11,additive_identity)),multiply(X_12,add(X_11,X_12))) )],[refute_0_200,refute_0_201]) ).

cnf(refute_0_203,plain,
    ( multiply(X_12,add(X_11,X_12)) != add(X_12,multiply(X_11,additive_identity))
    | add(multiply(additive_identity,X_11),X_12) != multiply(X_12,add(X_11,X_12))
    | add(multiply(additive_identity,X_11),X_12) = add(X_12,multiply(X_11,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(X_12,add(X_11,X_12))) ),[1],$fot(add(X_12,multiply(X_11,additive_identity)))]]) ).

cnf(refute_0_204,plain,
    ( add(multiply(additive_identity,X_11),X_12) != multiply(X_12,add(X_11,X_12))
    | add(multiply(additive_identity,X_11),X_12) = add(X_12,multiply(X_11,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(X_12,add(X_11,X_12)),add(X_12,multiply(X_11,additive_identity))) )],[refute_0_202,refute_0_203]) ).

cnf(refute_0_205,plain,
    add(multiply(additive_identity,X_11),X_12) = add(X_12,multiply(X_11,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(X_12,add(X_11,X_12))) )],[refute_0_199,refute_0_204]) ).

cnf(refute_0_206,plain,
    ( add(multiply(additive_identity,X_11),X_12) != add(X_12,multiply(X_11,additive_identity))
    | add(X_12,multiply(X_11,additive_identity)) = add(multiply(additive_identity,X_11),X_12) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(additive_identity,X_11),X_12))),bind(Y0,$fot(add(X_12,multiply(X_11,additive_identity))))]]) ).

cnf(refute_0_207,plain,
    add(X_12,multiply(X_11,additive_identity)) = add(multiply(additive_identity,X_11),X_12),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),add(X_12,multiply(X_11,additive_identity))) )],[refute_0_205,refute_0_206]) ).

cnf(refute_0_208,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) = add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))),
    inference(subst,[],[refute_0_207:[bind(X_11,$fot(X_49)),bind(X_12,$fot(inverse(multiply(X_49,additive_identity))))]]) ).

cnf(refute_0_209,plain,
    ( add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) != add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity)))
    | add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)))),bind(Y0,$fot(add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_210,plain,
    ( add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)),add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity)))) )],[refute_0_208,refute_0_209]) ).

cnf(refute_0_211,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_49),inverse(multiply(X_49,additive_identity))),multiplicative_identity) )],[refute_0_195,refute_0_210]) ).

cnf(refute_0_212,plain,
    multiply(X_47,additive_identity) = multiply(multiply(X_47,additive_identity),add(multiply(X_47,additive_identity),multiplicative_identity)),
    inference(subst,[],[refute_0_29:[bind(X_15,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_213,plain,
    add(X_14,X_13) = add(X_13,X_14),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_13))]]) ).

cnf(refute_0_214,plain,
    ( add(X_14,X_13) != add(X_13,X_14)
    | add(X_13,X_14) = add(X_14,X_13) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_14,X_13))),bind(Y0,$fot(add(X_13,X_14)))]]) ).

cnf(refute_0_215,plain,
    add(X_13,X_14) = add(X_14,X_13),
    inference(resolve,[$cnf( $equal(add(X_14,X_13),add(X_13,X_14)) )],[refute_0_213,refute_0_214]) ).

cnf(refute_0_216,plain,
    ( add(X_13,X_14) != add(X_14,X_13)
    | add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
    | add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) ),[1,1],$fot(add(X_14,X_13))]]) ).

cnf(refute_0_217,plain,
    ( add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
    | add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
    inference(resolve,[$cnf( $equal(add(X_13,X_14),add(X_14,X_13)) )],[refute_0_215,refute_0_216]) ).

cnf(refute_0_218,plain,
    add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)),
    inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) )],[refute_0_100,refute_0_217]) ).

cnf(refute_0_219,plain,
    add(multiply(X_47,additive_identity),multiplicative_identity) = multiply(multiplicative_identity,add(multiplicative_identity,X_47)),
    inference(subst,[],[refute_0_218:[bind(X_13,$fot(X_47)),bind(X_14,$fot(multiplicative_identity))]]) ).

cnf(refute_0_220,plain,
    ( multiply(X_47,additive_identity) != multiply(multiply(X_47,additive_identity),add(multiply(X_47,additive_identity),multiplicative_identity))
    | add(multiply(X_47,additive_identity),multiplicative_identity) != multiply(multiplicative_identity,add(multiplicative_identity,X_47))
    | multiply(X_47,additive_identity) = multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,additive_identity),multiply(multiply(X_47,additive_identity),add(multiply(X_47,additive_identity),multiplicative_identity))) ),[1,1],$fot(multiply(multiplicative_identity,add(multiplicative_identity,X_47)))]]) ).

cnf(refute_0_221,plain,
    ( multiply(X_47,additive_identity) != multiply(multiply(X_47,additive_identity),add(multiply(X_47,additive_identity),multiplicative_identity))
    | multiply(X_47,additive_identity) = multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_47,additive_identity),multiplicative_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))) )],[refute_0_219,refute_0_220]) ).

cnf(refute_0_222,plain,
    multiply(X_47,additive_identity) = multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),multiply(multiply(X_47,additive_identity),add(multiply(X_47,additive_identity),multiplicative_identity))) )],[refute_0_212,refute_0_221]) ).

cnf(refute_0_223,plain,
    add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),add(X_11,multiply(X_40,additive_identity))),
    inference(subst,[],[refute_0_199:[bind(X_12,$fot(multiply(X_40,additive_identity)))]]) ).

cnf(refute_0_224,plain,
    add(X_11,multiply(X_40,additive_identity)) = multiply(X_11,add(X_11,X_40)),
    inference(subst,[],[refute_0_51:[bind(X_29,$fot(X_11)),bind(X_30,$fot(X_40))]]) ).

cnf(refute_0_225,plain,
    ( add(X_11,multiply(X_40,additive_identity)) != multiply(X_11,add(X_11,X_40))
    | add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),add(X_11,multiply(X_40,additive_identity)))
    | add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),add(X_11,multiply(X_40,additive_identity)))) ),[1,1],$fot(multiply(X_11,add(X_11,X_40)))]]) ).

cnf(refute_0_226,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),add(X_11,multiply(X_40,additive_identity)))
    | add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) ),
    inference(resolve,[$cnf( $equal(add(X_11,multiply(X_40,additive_identity)),multiply(X_11,add(X_11,X_40))) )],[refute_0_224,refute_0_225]) ).

cnf(refute_0_227,plain,
    add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),add(X_11,multiply(X_40,additive_identity)))) )],[refute_0_223,refute_0_226]) ).

cnf(refute_0_228,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),add(X_10,multiply(X_40,additive_identity))),
    inference(subst,[],[refute_0_13:[bind(X_12,$fot(multiply(X_40,additive_identity)))]]) ).

cnf(refute_0_229,plain,
    add(X_10,multiply(X_40,additive_identity)) = multiply(X_10,add(X_10,X_40)),
    inference(subst,[],[refute_0_51:[bind(X_29,$fot(X_10)),bind(X_30,$fot(X_40))]]) ).

cnf(refute_0_230,plain,
    ( add(X_10,multiply(X_40,additive_identity)) != multiply(X_10,add(X_10,X_40))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),add(X_10,multiply(X_40,additive_identity)))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),add(X_10,multiply(X_40,additive_identity)))) ),[1,1],$fot(multiply(X_10,add(X_10,X_40)))]]) ).

cnf(refute_0_231,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),add(X_10,multiply(X_40,additive_identity)))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) ),
    inference(resolve,[$cnf( $equal(add(X_10,multiply(X_40,additive_identity)),multiply(X_10,add(X_10,X_40))) )],[refute_0_229,refute_0_230]) ).

cnf(refute_0_232,plain,
    add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) = multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),add(X_10,multiply(X_40,additive_identity)))) )],[refute_0_228,refute_0_231]) ).

cnf(refute_0_233,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))
    | add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(additive_identity,add(X_10,X_40))
    | multiply(additive_identity,add(X_10,X_40)) = multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))) ),[0],$fot(multiply(additive_identity,add(X_10,X_40)))]]) ).

cnf(refute_0_234,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) = multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) ),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(additive_identity,add(X_10,X_40))) )],[refute_0_65,refute_0_233]) ).

cnf(refute_0_235,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))
    | multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) = add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)))),bind(Y0,$fot(multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))))]]) ).

cnf(refute_0_236,plain,
    multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) = add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))) )],[refute_0_227,refute_0_235]) ).

cnf(refute_0_237,plain,
    multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) = add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)),
    inference(subst,[],[refute_0_236:[bind(X_11,$fot(X_10))]]) ).

cnf(refute_0_238,plain,
    ( multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))) != add(multiply(additive_identity,X_10),multiply(X_40,additive_identity))
    | multiply(additive_identity,add(X_10,X_40)) != multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) = add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))) ),[1],$fot(add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)))]]) ).

cnf(refute_0_239,plain,
    ( multiply(additive_identity,add(X_10,X_40)) != multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) = add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40))),add(multiply(additive_identity,X_10),multiply(X_40,additive_identity))) )],[refute_0_237,refute_0_238]) ).

cnf(refute_0_240,plain,
    ( add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) = add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))) )],[refute_0_234,refute_0_239]) ).

cnf(refute_0_241,plain,
    multiply(additive_identity,add(X_10,X_40)) = add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),multiply(X_10,add(X_10,X_40)))) )],[refute_0_232,refute_0_240]) ).

cnf(refute_0_242,plain,
    ( multiply(additive_identity,add(X_10,X_40)) != add(multiply(additive_identity,X_10),multiply(X_40,additive_identity))
    | add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_10,X_40)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,add(X_10,X_40)))),bind(Y0,$fot(add(multiply(additive_identity,X_10),multiply(X_40,additive_identity))))]]) ).

cnf(refute_0_243,plain,
    add(multiply(additive_identity,X_10),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_10,X_40)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),add(multiply(additive_identity,X_10),multiply(X_40,additive_identity))) )],[refute_0_241,refute_0_242]) ).

cnf(refute_0_244,plain,
    add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) = multiply(additive_identity,add(X_11,X_40)),
    inference(subst,[],[refute_0_243:[bind(X_10,$fot(X_11))]]) ).

cnf(refute_0_245,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))
    | add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(additive_identity,add(X_11,X_40))
    | multiply(additive_identity,add(X_11,X_40)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))) ),[0],$fot(multiply(additive_identity,add(X_11,X_40)))]]) ).

cnf(refute_0_246,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)) != multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))
    | multiply(additive_identity,add(X_11,X_40)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(additive_identity,add(X_11,X_40))) )],[refute_0_244,refute_0_245]) ).

cnf(refute_0_247,plain,
    multiply(additive_identity,add(X_11,X_40)) = multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_40,additive_identity)),multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))) )],[refute_0_227,refute_0_246]) ).

cnf(refute_0_248,plain,
    ( multiply(additive_identity,add(X_11,X_40)) != multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))
    | multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) = multiply(additive_identity,add(X_11,X_40)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,add(X_11,X_40)))),bind(Y0,$fot(multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))))]]) ).

cnf(refute_0_249,plain,
    multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40))) = multiply(additive_identity,add(X_11,X_40)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,X_40)),multiply(multiply(X_40,additive_identity),multiply(X_11,add(X_11,X_40)))) )],[refute_0_247,refute_0_248]) ).

cnf(refute_0_250,plain,
    multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))) = multiply(additive_identity,add(multiplicative_identity,X_47)),
    inference(subst,[],[refute_0_249:[bind(X_11,$fot(multiplicative_identity)),bind(X_40,$fot(X_47))]]) ).

cnf(refute_0_251,plain,
    ( multiply(X_47,additive_identity) != multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47)))
    | multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))) != multiply(additive_identity,add(multiplicative_identity,X_47))
    | multiply(X_47,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_47)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_47,additive_identity),multiply(additive_identity,add(multiplicative_identity,X_47))) ),[0],$fot(multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))))]]) ).

cnf(refute_0_252,plain,
    ( multiply(X_47,additive_identity) != multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47)))
    | multiply(X_47,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_47)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47))),multiply(additive_identity,add(multiplicative_identity,X_47))) )],[refute_0_250,refute_0_251]) ).

cnf(refute_0_253,plain,
    multiply(X_47,additive_identity) = multiply(additive_identity,add(multiplicative_identity,X_47)),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),multiply(multiply(X_47,additive_identity),multiply(multiplicative_identity,add(multiplicative_identity,X_47)))) )],[refute_0_222,refute_0_252]) ).

cnf(refute_0_254,plain,
    ( multiply(X_47,additive_identity) != multiply(additive_identity,add(multiplicative_identity,X_47))
    | multiply(additive_identity,add(multiplicative_identity,X_47)) = multiply(X_47,additive_identity) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_47,additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(multiplicative_identity,X_47))))]]) ).

cnf(refute_0_255,plain,
    multiply(additive_identity,add(multiplicative_identity,X_47)) = multiply(X_47,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),multiply(additive_identity,add(multiplicative_identity,X_47))) )],[refute_0_253,refute_0_254]) ).

cnf(refute_0_256,plain,
    multiply(additive_identity,add(multiplicative_identity,X_49)) = multiply(X_49,additive_identity),
    inference(subst,[],[refute_0_255:[bind(X_47,$fot(X_49))]]) ).

cnf(refute_0_257,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),
    introduced(tautology,[refl,[$fot(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))))]]) ).

cnf(refute_0_258,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_49)) != multiply(X_49,additive_identity)
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) != add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49)))
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49)))) ),[1,1],$fot(multiply(X_49,additive_identity))]]) ).

cnf(refute_0_259,plain,
    ( multiply(additive_identity,add(multiplicative_identity,X_49)) != multiply(X_49,additive_identity)
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49)))) )],[refute_0_257,refute_0_258]) ).

cnf(refute_0_260,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(multiplicative_identity,X_49)),multiply(X_49,additive_identity)) )],[refute_0_256,refute_0_259]) ).

cnf(refute_0_261,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) != add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity))
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = multiplicative_identity ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))))),bind(Y0,$fot(add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_262,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity))) )],[refute_0_260,refute_0_261]) ).

cnf(refute_0_263,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(X_49,additive_identity)),multiplicative_identity) )],[refute_0_211,refute_0_262]) ).

cnf(refute_0_264,plain,
    add(X_29,multiply(additive_identity,X_31)) = multiply(add(X_29,additive_identity),add(X_29,X_31)),
    inference(subst,[],[distributivity2:[bind(X,$fot(X_29)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_31))]]) ).

cnf(refute_0_265,plain,
    ( add(X_29,multiply(additive_identity,X_31)) != multiply(add(X_29,additive_identity),add(X_29,X_31))
    | add(X_29,additive_identity) != X_29
    | add(X_29,multiply(additive_identity,X_31)) = multiply(X_29,add(X_29,X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_29,multiply(additive_identity,X_31)),multiply(add(X_29,additive_identity),add(X_29,X_31))) ),[1,0],$fot(X_29)]]) ).

cnf(refute_0_266,plain,
    ( add(X_29,multiply(additive_identity,X_31)) != multiply(add(X_29,additive_identity),add(X_29,X_31))
    | add(X_29,multiply(additive_identity,X_31)) = multiply(X_29,add(X_29,X_31)) ),
    inference(resolve,[$cnf( $equal(add(X_29,additive_identity),X_29) )],[refute_0_44,refute_0_265]) ).

cnf(refute_0_267,plain,
    add(X_29,multiply(additive_identity,X_31)) = multiply(X_29,add(X_29,X_31)),
    inference(resolve,[$cnf( $equal(add(X_29,multiply(additive_identity,X_31)),multiply(add(X_29,additive_identity),add(X_29,X_31))) )],[refute_0_264,refute_0_266]) ).

cnf(refute_0_268,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)),
    inference(subst,[],[refute_0_267:[bind(X_29,$fot(multiply(Y,Y))),bind(X_31,$fot(X_42))]]) ).

cnf(refute_0_269,plain,
    add(multiply(Y,Y),Z) = multiply(add(Y,Z),add(Y,Z)),
    inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).

cnf(refute_0_270,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_271,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_7:[bind(X0,$fot(add(Y,multiply(Z,Z)))),bind(Y0,$fot(multiply(add(Y,Z),add(Y,Z))))]]) ).

cnf(refute_0_272,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_270,refute_0_271]) ).

cnf(refute_0_273,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_274,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_272,refute_0_273]) ).

cnf(refute_0_275,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_269,refute_0_274]) ).

cnf(refute_0_276,plain,
    add(multiply(Y,Y),X_42) = add(Y,multiply(X_42,X_42)),
    inference(subst,[],[refute_0_275:[bind(Z,$fot(X_42))]]) ).

cnf(refute_0_277,plain,
    ( add(multiply(Y,Y),X_42) != add(Y,multiply(X_42,X_42))
    | add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(multiply(Y,Y),multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) ),[1,1],$fot(add(Y,multiply(X_42,X_42)))]]) ).

cnf(refute_0_278,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(multiply(Y,Y),multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_42),add(Y,multiply(X_42,X_42))) )],[refute_0_276,refute_0_277]) ).

cnf(refute_0_279,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) )],[refute_0_268,refute_0_278]) ).

cnf(refute_0_280,plain,
    add(multiply(Y,Y),multiply(X_40,additive_identity)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)),
    inference(subst,[],[refute_0_51:[bind(X_29,$fot(multiply(Y,Y))),bind(X_30,$fot(X_40))]]) ).

cnf(refute_0_281,plain,
    add(multiply(Y,Y),multiply(X_40,additive_identity)) = add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),
    inference(subst,[],[refute_0_275:[bind(Z,$fot(multiply(X_40,additive_identity)))]]) ).

cnf(refute_0_282,plain,
    ( add(multiply(Y,Y),multiply(X_40,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(multiply(Y,Y),multiply(X_40,additive_identity)) != add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)))
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) ),[0],$fot(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))))]]) ).

cnf(refute_0_283,plain,
    ( add(multiply(Y,Y),multiply(X_40,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)))) )],[refute_0_281,refute_0_282]) ).

cnf(refute_0_284,plain,
    add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) )],[refute_0_280,refute_0_283]) ).

cnf(refute_0_285,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_13:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).

cnf(refute_0_286,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_287,plain,
    add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,add(additive_identity,X_14)),
    inference(subst,[],[refute_0_13:[bind(X_10,$fot(additive_identity)),bind(X_12,$fot(X_14))]]) ).

cnf(refute_0_288,plain,
    ( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
    | add(additive_identity,X_14) != X_14
    | add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) ),[1,1],$fot(X_14)]]) ).

cnf(refute_0_289,plain,
    ( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
    | add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
    inference(resolve,[$cnf( $equal(add(additive_identity,X_14),X_14) )],[refute_0_19,refute_0_288]) ).

cnf(refute_0_290,plain,
    add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) )],[refute_0_287,refute_0_289]) ).

cnf(refute_0_291,plain,
    add(multiply(additive_identity,additive_identity),X) = multiply(X,X),
    inference(subst,[],[refute_0_290:[bind(X_14,$fot(X))]]) ).

cnf(refute_0_292,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_293,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_291,refute_0_292]) ).

cnf(refute_0_294,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_286,refute_0_293]) ).

cnf(refute_0_295,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_294:[bind(X,$fot(multiply(X_10,additive_identity)))]]) ).

cnf(refute_0_296,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_297,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_295,refute_0_296]) ).

cnf(refute_0_298,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_285,refute_0_297]) ).

cnf(refute_0_299,plain,
    add(additive_identity,X_10) = X_10,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_10))]]) ).

cnf(refute_0_300,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_301,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_302,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_300,refute_0_301]) ).

cnf(refute_0_303,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_299,refute_0_302]) ).

cnf(refute_0_304,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_7:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).

cnf(refute_0_305,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_304]) ).

cnf(refute_0_306,plain,
    add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
    inference(subst,[],[refute_0_305:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_10))]]) ).

cnf(refute_0_307,plain,
    add(X,multiply(additive_identity,X_21)) = add(multiply(additive_identity,X_21),X),
    inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,X_21)))]]) ).

cnf(refute_0_308,plain,
    add(multiply(additive_identity,X_21),X) = multiply(X,add(X_21,X)),
    inference(subst,[],[refute_0_199:[bind(X_11,$fot(X_21)),bind(X_12,$fot(X))]]) ).

cnf(refute_0_309,plain,
    ( add(X,multiply(additive_identity,X_21)) != add(multiply(additive_identity,X_21),X)
    | add(multiply(additive_identity,X_21),X) != multiply(X,add(X_21,X))
    | add(X,multiply(additive_identity,X_21)) = multiply(X,add(X_21,X)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,X_21)),multiply(X,add(X_21,X))) ),[0],$fot(add(multiply(additive_identity,X_21),X))]]) ).

cnf(refute_0_310,plain,
    ( add(X,multiply(additive_identity,X_21)) != add(multiply(additive_identity,X_21),X)
    | add(X,multiply(additive_identity,X_21)) = multiply(X,add(X_21,X)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_21),X),multiply(X,add(X_21,X))) )],[refute_0_308,refute_0_309]) ).

cnf(refute_0_311,plain,
    add(X,multiply(additive_identity,X_21)) = multiply(X,add(X_21,X)),
    inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_21)),add(multiply(additive_identity,X_21),X)) )],[refute_0_307,refute_0_310]) ).

cnf(refute_0_312,plain,
    ( add(X,multiply(additive_identity,X_21)) != multiply(X,add(X_21,X))
    | multiply(X,add(X_21,X)) = add(X,multiply(additive_identity,X_21)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X,multiply(additive_identity,X_21)))),bind(Y0,$fot(multiply(X,add(X_21,X))))]]) ).

cnf(refute_0_313,plain,
    multiply(X,add(X_21,X)) = add(X,multiply(additive_identity,X_21)),
    inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_21)),multiply(X,add(X_21,X))) )],[refute_0_311,refute_0_312]) ).

cnf(refute_0_314,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_313:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_21,$fot(X_10))]]) ).

cnf(refute_0_315,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_62:[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_316,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_314,refute_0_315]) ).

cnf(refute_0_317,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_306,refute_0_316]) ).

cnf(refute_0_318,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_62:[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_319,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_317,refute_0_318]) ).

cnf(refute_0_320,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_303,refute_0_319]) ).

cnf(refute_0_321,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_322,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_320,refute_0_321]) ).

cnf(refute_0_323,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_298,refute_0_322]) ).

cnf(refute_0_324,plain,
    multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)) = multiply(additive_identity,X_40),
    inference(subst,[],[refute_0_323:[bind(X_10,$fot(X_40))]]) ).

cnf(refute_0_325,plain,
    add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),
    introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))))]]) ).

cnf(refute_0_326,plain,
    ( multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)) != multiply(additive_identity,X_40)
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) != add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)))
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = add(Y,multiply(additive_identity,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,X_40))]]) ).

cnf(refute_0_327,plain,
    ( multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)) != multiply(additive_identity,X_40)
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = add(Y,multiply(additive_identity,X_40)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)))) )],[refute_0_325,refute_0_326]) ).

cnf(refute_0_328,plain,
    add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) = add(Y,multiply(additive_identity,X_40)),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity)),multiply(additive_identity,X_40)) )],[refute_0_324,refute_0_327]) ).

cnf(refute_0_329,plain,
    ( add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) != add(Y,multiply(additive_identity,X_40))
    | add(Y,multiply(additive_identity,X_40)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) ),[0],$fot(add(Y,multiply(additive_identity,X_40)))]]) ).

cnf(refute_0_330,plain,
    ( add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(additive_identity,X_40)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),add(Y,multiply(additive_identity,X_40))) )],[refute_0_328,refute_0_329]) ).

cnf(refute_0_331,plain,
    add(X_39,multiply(X_40,additive_identity)) = multiply(X_39,add(X_39,X_40)),
    inference(subst,[],[refute_0_51:[bind(X_29,$fot(X_39)),bind(X_30,$fot(X_40))]]) ).

cnf(refute_0_332,plain,
    multiply(additive_identity,X_40) = multiply(X_40,additive_identity),
    inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_40))]]) ).

cnf(refute_0_333,plain,
    ( multiply(additive_identity,X_40) != multiply(X_40,additive_identity)
    | multiply(X_40,additive_identity) = multiply(additive_identity,X_40) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(additive_identity,X_40))),bind(Y0,$fot(multiply(X_40,additive_identity)))]]) ).

cnf(refute_0_334,plain,
    multiply(X_40,additive_identity) = multiply(additive_identity,X_40),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_40),multiply(X_40,additive_identity)) )],[refute_0_332,refute_0_333]) ).

cnf(refute_0_335,plain,
    ( multiply(X_40,additive_identity) != multiply(additive_identity,X_40)
    | add(X_39,multiply(X_40,additive_identity)) != multiply(X_39,add(X_39,X_40))
    | add(X_39,multiply(additive_identity,X_40)) = multiply(X_39,add(X_39,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(X_40,additive_identity)),multiply(X_39,add(X_39,X_40))) ),[0,1],$fot(multiply(additive_identity,X_40))]]) ).

cnf(refute_0_336,plain,
    ( add(X_39,multiply(X_40,additive_identity)) != multiply(X_39,add(X_39,X_40))
    | add(X_39,multiply(additive_identity,X_40)) = multiply(X_39,add(X_39,X_40)) ),
    inference(resolve,[$cnf( $equal(multiply(X_40,additive_identity),multiply(additive_identity,X_40)) )],[refute_0_334,refute_0_335]) ).

cnf(refute_0_337,plain,
    add(X_39,multiply(additive_identity,X_40)) = multiply(X_39,add(X_39,X_40)),
    inference(resolve,[$cnf( $equal(add(X_39,multiply(X_40,additive_identity)),multiply(X_39,add(X_39,X_40))) )],[refute_0_331,refute_0_336]) ).

cnf(refute_0_338,plain,
    ( add(X_39,multiply(additive_identity,X_40)) != multiply(X_39,add(X_39,X_40))
    | multiply(X_39,add(X_39,X_40)) = add(X_39,multiply(additive_identity,X_40)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(X_39,multiply(additive_identity,X_40)))),bind(Y0,$fot(multiply(X_39,add(X_39,X_40))))]]) ).

cnf(refute_0_339,plain,
    multiply(X_39,add(X_39,X_40)) = add(X_39,multiply(additive_identity,X_40)),
    inference(resolve,[$cnf( $equal(add(X_39,multiply(additive_identity,X_40)),multiply(X_39,add(X_39,X_40))) )],[refute_0_337,refute_0_338]) ).

cnf(refute_0_340,plain,
    multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) = add(multiply(Y,Y),multiply(additive_identity,X_40)),
    inference(subst,[],[refute_0_339:[bind(X_39,$fot(multiply(Y,Y)))]]) ).

cnf(refute_0_341,plain,
    ( multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)) != add(multiply(Y,Y),multiply(additive_identity,X_40))
    | add(Y,multiply(additive_identity,X_40)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(additive_identity,X_40)) = add(multiply(Y,Y),multiply(additive_identity,X_40)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_40)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) ),[1],$fot(add(multiply(Y,Y),multiply(additive_identity,X_40)))]]) ).

cnf(refute_0_342,plain,
    ( add(Y,multiply(additive_identity,X_40)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(additive_identity,X_40)) = add(multiply(Y,Y),multiply(additive_identity,X_40)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(multiply(Y,Y),X_40)),add(multiply(Y,Y),multiply(additive_identity,X_40))) )],[refute_0_340,refute_0_341]) ).

cnf(refute_0_343,plain,
    ( add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(Y,multiply(additive_identity,X_40)) = add(multiply(Y,Y),multiply(additive_identity,X_40)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_40)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) )],[refute_0_330,refute_0_342]) ).

cnf(refute_0_344,plain,
    add(Y,multiply(additive_identity,X_40)) = add(multiply(Y,Y),multiply(additive_identity,X_40)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_40,additive_identity),multiply(X_40,additive_identity))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) )],[refute_0_284,refute_0_343]) ).

cnf(refute_0_345,plain,
    ( add(Y,multiply(additive_identity,X_40)) != add(multiply(Y,Y),multiply(additive_identity,X_40))
    | add(multiply(Y,Y),multiply(additive_identity,X_40)) = add(Y,multiply(additive_identity,X_40)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(Y,multiply(additive_identity,X_40)))),bind(Y0,$fot(add(multiply(Y,Y),multiply(additive_identity,X_40))))]]) ).

cnf(refute_0_346,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_40)) = add(Y,multiply(additive_identity,X_40)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_40)),add(multiply(Y,Y),multiply(additive_identity,X_40))) )],[refute_0_344,refute_0_345]) ).

cnf(refute_0_347,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_42)) = add(Y,multiply(additive_identity,X_42)),
    inference(subst,[],[refute_0_346:[bind(X_40,$fot(X_42))]]) ).

cnf(refute_0_348,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))
    | add(multiply(Y,Y),multiply(additive_identity,X_42)) != add(Y,multiply(additive_identity,X_42))
    | add(Y,multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))) ),[0],$fot(add(Y,multiply(additive_identity,X_42)))]]) ).

cnf(refute_0_349,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))
    | add(Y,multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),add(Y,multiply(additive_identity,X_42))) )],[refute_0_347,refute_0_348]) ).

cnf(refute_0_350,plain,
    add(multiply(Y,Y),X_40) = add(Y,multiply(X_40,X_40)),
    inference(subst,[],[refute_0_275:[bind(Z,$fot(X_40))]]) ).

cnf(refute_0_351,plain,
    ( add(multiply(Y,Y),X_40) != add(Y,multiply(X_40,X_40))
    | add(multiply(Y,Y),multiply(X_40,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(multiply(Y,Y),multiply(X_40,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) ),[1,1],$fot(add(Y,multiply(X_40,X_40)))]]) ).

cnf(refute_0_352,plain,
    ( add(multiply(Y,Y),multiply(X_40,additive_identity)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))
    | add(multiply(Y,Y),multiply(X_40,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40))) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),X_40),add(Y,multiply(X_40,X_40))) )],[refute_0_350,refute_0_351]) ).

cnf(refute_0_353,plain,
    add(multiply(Y,Y),multiply(X_40,additive_identity)) = multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40))),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_40))) )],[refute_0_280,refute_0_352]) ).

cnf(refute_0_354,plain,
    ( add(multiply(Y,Y),multiply(X_40,additive_identity)) != multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40)))
    | multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40))) = add(multiply(Y,Y),multiply(X_40,additive_identity)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(Y,Y),multiply(X_40,additive_identity)))),bind(Y0,$fot(multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40)))))]]) ).

cnf(refute_0_355,plain,
    multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40))) = add(multiply(Y,Y),multiply(X_40,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_40,additive_identity)),multiply(multiply(Y,Y),add(Y,multiply(X_40,X_40)))) )],[refute_0_353,refute_0_354]) ).

cnf(refute_0_356,plain,
    multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) = add(multiply(Y,Y),multiply(X_42,additive_identity)),
    inference(subst,[],[refute_0_355:[bind(X_40,$fot(X_42))]]) ).

cnf(refute_0_357,plain,
    ( multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))) != add(multiply(Y,Y),multiply(X_42,additive_identity))
    | add(Y,multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(Y,Y),multiply(X_42,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))) ),[1],$fot(add(multiply(Y,Y),multiply(X_42,additive_identity)))]]) ).

cnf(refute_0_358,plain,
    ( add(Y,multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(Y,Y),multiply(X_42,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42))),add(multiply(Y,Y),multiply(X_42,additive_identity))) )],[refute_0_356,refute_0_357]) ).

cnf(refute_0_359,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(Y,Y),multiply(X_42,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))) )],[refute_0_349,refute_0_358]) ).

cnf(refute_0_360,plain,
    add(Y,multiply(additive_identity,X_42)) = add(multiply(Y,Y),multiply(X_42,additive_identity)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(Y,multiply(X_42,X_42)))) )],[refute_0_279,refute_0_359]) ).

cnf(refute_0_361,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43))),
    inference(subst,[],[refute_0_199:[bind(X_11,$fot(multiplicative_identity)),bind(X_12,$fot(multiply(X_43,X_43)))]]) ).

cnf(refute_0_362,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_36) = add(multiplicative_identity,multiply(X_36,X_36)),
    inference(subst,[],[refute_0_275:[bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(X_36))]]) ).

cnf(refute_0_363,plain,
    multiply(multiplicative_identity,multiplicative_identity) = multiplicative_identity,
    inference(subst,[],[multiplicative_id2:[bind(X,$fot(multiplicative_identity))]]) ).

cnf(refute_0_364,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiplicative_identity,multiply(X_36,X_36))
    | add(multiplicative_identity,X_36) = add(multiplicative_identity,multiply(X_36,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiplicative_identity,multiply(X_36,X_36))) ),[0,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_365,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiplicative_identity,multiply(X_36,X_36))
    | add(multiplicative_identity,X_36) = add(multiplicative_identity,multiply(X_36,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity) )],[refute_0_363,refute_0_364]) ).

cnf(refute_0_366,plain,
    add(multiplicative_identity,X_36) = add(multiplicative_identity,multiply(X_36,X_36)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiplicative_identity,multiply(X_36,X_36))) )],[refute_0_362,refute_0_365]) ).

cnf(refute_0_367,plain,
    add(multiplicative_identity,X_43) = add(multiplicative_identity,multiply(X_43,X_43)),
    inference(subst,[],[refute_0_366:[bind(X_36,$fot(X_43))]]) ).

cnf(refute_0_368,plain,
    ( add(multiplicative_identity,X_43) != add(multiplicative_identity,multiply(X_43,X_43))
    | add(multiplicative_identity,multiply(X_43,X_43)) = add(multiplicative_identity,X_43) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiplicative_identity,X_43))),bind(Y0,$fot(add(multiplicative_identity,multiply(X_43,X_43))))]]) ).

cnf(refute_0_369,plain,
    add(multiplicative_identity,multiply(X_43,X_43)) = add(multiplicative_identity,X_43),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_43),add(multiplicative_identity,multiply(X_43,X_43))) )],[refute_0_367,refute_0_368]) ).

cnf(refute_0_370,plain,
    ( add(multiply(additive_identity,multiplicative_identity),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(multiplicative_identity,X_43)
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))) ),[1,1],$fot(add(multiplicative_identity,X_43))]]) ).

cnf(refute_0_371,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_43,X_43)),add(multiplicative_identity,X_43)) )],[refute_0_369,refute_0_370]) ).

cnf(refute_0_372,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),multiply(multiply(X_43,X_43),add(multiplicative_identity,multiply(X_43,X_43)))) )],[refute_0_361,refute_0_371]) ).

cnf(refute_0_373,plain,
    add(X_43,additive_identity) = X_43,
    inference(subst,[],[additive_id1:[bind(X,$fot(X_43))]]) ).

cnf(refute_0_374,plain,
    multiply(additive_identity,multiplicative_identity) = additive_identity,
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(additive_identity))]]) ).

cnf(refute_0_375,plain,
    add(X_43,multiply(additive_identity,multiplicative_identity)) = add(X_43,multiply(additive_identity,multiplicative_identity)),
    introduced(tautology,[refl,[$fot(add(X_43,multiply(additive_identity,multiplicative_identity)))]]) ).

cnf(refute_0_376,plain,
    ( multiply(additive_identity,multiplicative_identity) != additive_identity
    | add(X_43,multiply(additive_identity,multiplicative_identity)) != add(X_43,multiply(additive_identity,multiplicative_identity))
    | add(X_43,multiply(additive_identity,multiplicative_identity)) = add(X_43,additive_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(X_43,multiply(additive_identity,multiplicative_identity)),add(X_43,multiply(additive_identity,multiplicative_identity))) ),[1,1],$fot(additive_identity)]]) ).

cnf(refute_0_377,plain,
    ( multiply(additive_identity,multiplicative_identity) != additive_identity
    | add(X_43,multiply(additive_identity,multiplicative_identity)) = add(X_43,additive_identity) ),
    inference(resolve,[$cnf( $equal(add(X_43,multiply(additive_identity,multiplicative_identity)),add(X_43,multiply(additive_identity,multiplicative_identity))) )],[refute_0_375,refute_0_376]) ).

cnf(refute_0_378,plain,
    add(X_43,multiply(additive_identity,multiplicative_identity)) = add(X_43,additive_identity),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,multiplicative_identity),additive_identity) )],[refute_0_374,refute_0_377]) ).

cnf(refute_0_379,plain,
    ( add(X_43,multiply(additive_identity,multiplicative_identity)) != add(X_43,additive_identity)
    | add(X_43,additive_identity) != X_43
    | add(X_43,multiply(additive_identity,multiplicative_identity)) = X_43 ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(X_43,multiply(additive_identity,multiplicative_identity)))),bind(Y0,$fot(add(X_43,additive_identity))),bind(Z0,$fot(X_43))]]) ).

cnf(refute_0_380,plain,
    ( add(X_43,additive_identity) != X_43
    | add(X_43,multiply(additive_identity,multiplicative_identity)) = X_43 ),
    inference(resolve,[$cnf( $equal(add(X_43,multiply(additive_identity,multiplicative_identity)),add(X_43,additive_identity)) )],[refute_0_378,refute_0_379]) ).

cnf(refute_0_381,plain,
    add(X_43,multiply(additive_identity,multiplicative_identity)) = X_43,
    inference(resolve,[$cnf( $equal(add(X_43,additive_identity),X_43) )],[refute_0_373,refute_0_380]) ).

cnf(refute_0_382,plain,
    add(multiply(Y,Y),multiply(additive_identity,X_42)) = add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),
    inference(subst,[],[refute_0_275:[bind(Z,$fot(multiply(additive_identity,X_42)))]]) ).

cnf(refute_0_383,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(multiply(Y,Y),multiply(additive_identity,X_42)) != add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)))
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) ),[0],$fot(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))))]]) ).

cnf(refute_0_384,plain,
    ( add(multiply(Y,Y),multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)))) )],[refute_0_382,refute_0_383]) ).

cnf(refute_0_385,plain,
    add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) )],[refute_0_268,refute_0_384]) ).

cnf(refute_0_386,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_199:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).

cnf(refute_0_387,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_294:[bind(X,$fot(multiply(additive_identity,X_11)))]]) ).

cnf(refute_0_388,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_389,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_387,refute_0_388]) ).

cnf(refute_0_390,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_386,refute_0_389]) ).

cnf(refute_0_391,plain,
    add(additive_identity,X_11) = X_11,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_11))]]) ).

cnf(refute_0_392,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_393,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_394,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_392,refute_0_393]) ).

cnf(refute_0_395,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_391,refute_0_394]) ).

cnf(refute_0_396,plain,
    add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_11)) = multiply(additive_identity,add(additive_identity,X_11)),
    inference(subst,[],[refute_0_305:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_11))]]) ).

cnf(refute_0_397,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_313:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_21,$fot(X_11))]]) ).

cnf(refute_0_398,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_62:[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_399,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_397,refute_0_398]) ).

cnf(refute_0_400,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_396,refute_0_399]) ).

cnf(refute_0_401,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_62:[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_402,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_400,refute_0_401]) ).

cnf(refute_0_403,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_395,refute_0_402]) ).

cnf(refute_0_404,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_405,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_403,refute_0_404]) ).

cnf(refute_0_406,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_390,refute_0_405]) ).

cnf(refute_0_407,plain,
    multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)) = multiply(additive_identity,X_42),
    inference(subst,[],[refute_0_406:[bind(X_11,$fot(X_42))]]) ).

cnf(refute_0_408,plain,
    add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),
    introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))))]]) ).

cnf(refute_0_409,plain,
    ( multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)) != multiply(additive_identity,X_42)
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) != add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)))
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = add(Y,multiply(additive_identity,X_42)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)))) ),[1,1],$fot(multiply(additive_identity,X_42))]]) ).

cnf(refute_0_410,plain,
    ( multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)) != multiply(additive_identity,X_42)
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = add(Y,multiply(additive_identity,X_42)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)))) )],[refute_0_408,refute_0_409]) ).

cnf(refute_0_411,plain,
    add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) = add(Y,multiply(additive_identity,X_42)),
    inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42)),multiply(additive_identity,X_42)) )],[refute_0_407,refute_0_410]) ).

cnf(refute_0_412,plain,
    ( add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) != add(Y,multiply(additive_identity,X_42))
    | add(Y,multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) ),[0],$fot(add(Y,multiply(additive_identity,X_42)))]]) ).

cnf(refute_0_413,plain,
    ( add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(additive_identity,X_42)) = multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),add(Y,multiply(additive_identity,X_42))) )],[refute_0_411,refute_0_412]) ).

cnf(refute_0_414,plain,
    add(multiply(additive_identity,X_42),Y) = add(Y,multiply(additive_identity,X_42)),
    inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,X_42)))]]) ).

cnf(refute_0_415,plain,
    add(Y,multiply(additive_identity,X_42)) = multiply(Y,add(Y,X_42)),
    inference(subst,[],[refute_0_267:[bind(X_29,$fot(Y)),bind(X_31,$fot(X_42))]]) ).

cnf(refute_0_416,plain,
    ( add(Y,multiply(additive_identity,X_42)) != multiply(Y,add(Y,X_42))
    | add(multiply(additive_identity,X_42),Y) != add(Y,multiply(additive_identity,X_42))
    | add(multiply(additive_identity,X_42),Y) = multiply(Y,add(Y,X_42)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_42),Y),add(Y,multiply(additive_identity,X_42))) ),[1],$fot(multiply(Y,add(Y,X_42)))]]) ).

cnf(refute_0_417,plain,
    ( add(multiply(additive_identity,X_42),Y) != add(Y,multiply(additive_identity,X_42))
    | add(multiply(additive_identity,X_42),Y) = multiply(Y,add(Y,X_42)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),multiply(Y,add(Y,X_42))) )],[refute_0_415,refute_0_416]) ).

cnf(refute_0_418,plain,
    add(multiply(additive_identity,X_42),Y) = multiply(Y,add(Y,X_42)),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_42),Y),add(Y,multiply(additive_identity,X_42))) )],[refute_0_414,refute_0_417]) ).

cnf(refute_0_419,plain,
    ( add(multiply(additive_identity,X_42),Y) != multiply(Y,add(Y,X_42))
    | multiply(Y,add(Y,X_42)) = add(multiply(additive_identity,X_42),Y) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(additive_identity,X_42),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_42))))]]) ).

cnf(refute_0_420,plain,
    multiply(Y,add(Y,X_42)) = add(multiply(additive_identity,X_42),Y),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_42),Y),multiply(Y,add(Y,X_42))) )],[refute_0_418,refute_0_419]) ).

cnf(refute_0_421,plain,
    multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) = add(multiply(additive_identity,X_42),multiply(Y,Y)),
    inference(subst,[],[refute_0_420:[bind(Y,$fot(multiply(Y,Y)))]]) ).

cnf(refute_0_422,plain,
    ( multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)) != add(multiply(additive_identity,X_42),multiply(Y,Y))
    | add(Y,multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(additive_identity,X_42),multiply(Y,Y)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) ),[1],$fot(add(multiply(additive_identity,X_42),multiply(Y,Y)))]]) ).

cnf(refute_0_423,plain,
    ( add(Y,multiply(additive_identity,X_42)) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(additive_identity,X_42),multiply(Y,Y)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(multiply(Y,Y),X_42)),add(multiply(additive_identity,X_42),multiply(Y,Y))) )],[refute_0_421,refute_0_422]) ).

cnf(refute_0_424,plain,
    ( add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))) != multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))
    | add(Y,multiply(additive_identity,X_42)) = add(multiply(additive_identity,X_42),multiply(Y,Y)) ),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) )],[refute_0_413,refute_0_423]) ).

cnf(refute_0_425,plain,
    add(Y,multiply(additive_identity,X_42)) = add(multiply(additive_identity,X_42),multiply(Y,Y)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,X_42),multiply(additive_identity,X_42))),multiply(multiply(Y,Y),add(multiply(Y,Y),X_42))) )],[refute_0_385,refute_0_424]) ).

cnf(refute_0_426,plain,
    ( add(Y,multiply(additive_identity,X_42)) != add(multiply(additive_identity,X_42),multiply(Y,Y))
    | add(multiply(additive_identity,X_42),multiply(Y,Y)) = add(Y,multiply(additive_identity,X_42)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(Y,multiply(additive_identity,X_42)))),bind(Y0,$fot(add(multiply(additive_identity,X_42),multiply(Y,Y))))]]) ).

cnf(refute_0_427,plain,
    add(multiply(additive_identity,X_42),multiply(Y,Y)) = add(Y,multiply(additive_identity,X_42)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),add(multiply(additive_identity,X_42),multiply(Y,Y))) )],[refute_0_425,refute_0_426]) ).

cnf(refute_0_428,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = add(X_43,multiply(additive_identity,multiplicative_identity)),
    inference(subst,[],[refute_0_427:[bind(Y,$fot(X_43)),bind(X_42,$fot(multiplicative_identity))]]) ).

cnf(refute_0_429,plain,
    ( add(X_43,multiply(additive_identity,multiplicative_identity)) != X_43
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != add(X_43,multiply(additive_identity,multiplicative_identity))
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = X_43 ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)))),bind(Y0,$fot(add(X_43,multiply(additive_identity,multiplicative_identity)))),bind(Z0,$fot(X_43))]]) ).

cnf(refute_0_430,plain,
    ( add(X_43,multiply(additive_identity,multiplicative_identity)) != X_43
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = X_43 ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),add(X_43,multiply(additive_identity,multiplicative_identity))) )],[refute_0_428,refute_0_429]) ).

cnf(refute_0_431,plain,
    add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) = X_43,
    inference(resolve,[$cnf( $equal(add(X_43,multiply(additive_identity,multiplicative_identity)),X_43) )],[refute_0_381,refute_0_430]) ).

cnf(refute_0_432,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != X_43
    | add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | X_43 = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) ),[0],$fot(X_43)]]) ).

cnf(refute_0_433,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | X_43 = multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),X_43) )],[refute_0_431,refute_0_432]) ).

cnf(refute_0_434,plain,
    multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiplicative_identity,multiply(X_36,X_36))),
    inference(subst,[],[refute_0_22:[bind(X_14,$fot(multiply(X_36,X_36)))]]) ).

cnf(refute_0_435,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiplicative_identity,multiply(X_36,X_36))
    | add(multiplicative_identity,multiply(X_36,X_36)) = add(multiply(multiplicative_identity,multiplicative_identity),X_36) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_36))),bind(Y0,$fot(add(multiplicative_identity,multiply(X_36,X_36))))]]) ).

cnf(refute_0_436,plain,
    add(multiplicative_identity,multiply(X_36,X_36)) = add(multiply(multiplicative_identity,multiplicative_identity),X_36),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiplicative_identity,multiply(X_36,X_36))) )],[refute_0_362,refute_0_435]) ).

cnf(refute_0_437,plain,
    ( multiply(X_36,X_36) != multiply(multiply(X_36,X_36),add(multiplicative_identity,multiply(X_36,X_36)))
    | add(multiplicative_identity,multiply(X_36,X_36)) != add(multiply(multiplicative_identity,multiplicative_identity),X_36)
    | multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,X_36),multiply(multiply(X_36,X_36),add(multiplicative_identity,multiply(X_36,X_36)))) ),[1,1],$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_36))]]) ).

cnf(refute_0_438,plain,
    ( multiply(X_36,X_36) != multiply(multiply(X_36,X_36),add(multiplicative_identity,multiply(X_36,X_36)))
    | multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) ),
    inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_36,X_36)),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) )],[refute_0_436,refute_0_437]) ).

cnf(refute_0_439,plain,
    multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)),
    inference(resolve,[$cnf( $equal(multiply(X_36,X_36),multiply(multiply(X_36,X_36),add(multiplicative_identity,multiply(X_36,X_36)))) )],[refute_0_434,refute_0_438]) ).

cnf(refute_0_440,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_36) = add(multiply(multiplicative_identity,multiplicative_identity),X_36),
    introduced(tautology,[refl,[$fot(add(multiply(multiplicative_identity,multiplicative_identity),X_36))]]) ).

cnf(refute_0_441,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiply(multiplicative_identity,multiplicative_identity),X_36)
    | add(multiply(multiplicative_identity,multiplicative_identity),X_36) = add(multiplicative_identity,X_36) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) ),[1,0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_442,plain,
    ( multiply(multiplicative_identity,multiplicative_identity) != multiplicative_identity
    | add(multiply(multiplicative_identity,multiplicative_identity),X_36) = add(multiplicative_identity,X_36) ),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) )],[refute_0_440,refute_0_441]) ).

cnf(refute_0_443,plain,
    add(multiply(multiplicative_identity,multiplicative_identity),X_36) = add(multiplicative_identity,X_36),
    inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,multiplicative_identity),multiplicative_identity) )],[refute_0_363,refute_0_442]) ).

cnf(refute_0_444,plain,
    multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) = multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)),
    introduced(tautology,[refl,[$fot(multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)))]]) ).

cnf(refute_0_445,plain,
    ( multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) != multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))
    | add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiplicative_identity,X_36)
    | multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)),multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))) ),[1,1],$fot(add(multiplicative_identity,X_36))]]) ).

cnf(refute_0_446,plain,
    ( add(multiply(multiplicative_identity,multiplicative_identity),X_36) != add(multiplicative_identity,X_36)
    | multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)),multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))) )],[refute_0_444,refute_0_445]) ).

cnf(refute_0_447,plain,
    multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)),
    inference(resolve,[$cnf( $equal(add(multiply(multiplicative_identity,multiplicative_identity),X_36),add(multiplicative_identity,X_36)) )],[refute_0_443,refute_0_446]) ).

cnf(refute_0_448,plain,
    ( multiply(X_36,X_36) != multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))
    | multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)) != multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))
    | multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,X_36),multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))) ),[0],$fot(multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)))]]) ).

cnf(refute_0_449,plain,
    ( multiply(X_36,X_36) != multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))
    | multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36)),multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))) )],[refute_0_447,refute_0_448]) ).

cnf(refute_0_450,plain,
    multiply(X_36,X_36) = multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)),
    inference(resolve,[$cnf( $equal(multiply(X_36,X_36),multiply(multiply(X_36,X_36),add(multiply(multiplicative_identity,multiplicative_identity),X_36))) )],[refute_0_439,refute_0_449]) ).

cnf(refute_0_451,plain,
    ( multiply(X_36,X_36) != multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))
    | multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) = multiply(X_36,X_36) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_36,X_36))),bind(Y0,$fot(multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))))]]) ).

cnf(refute_0_452,plain,
    multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36)) = multiply(X_36,X_36),
    inference(resolve,[$cnf( $equal(multiply(X_36,X_36),multiply(multiply(X_36,X_36),add(multiplicative_identity,X_36))) )],[refute_0_450,refute_0_451]) ).

cnf(refute_0_453,plain,
    multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)) = multiply(X_43,X_43),
    inference(subst,[],[refute_0_452:[bind(X_36,$fot(X_43))]]) ).

cnf(refute_0_454,plain,
    ( 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)
    | X_43 = multiply(X_43,X_43) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(X_43,multiply(X_43,X_43)) ),[0],$fot(multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)))]]) ).

cnf(refute_0_455,plain,
    ( X_43 != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | X_43 = multiply(X_43,X_43) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43)),multiply(X_43,X_43)) )],[refute_0_453,refute_0_454]) ).

cnf(refute_0_456,plain,
    ( add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)) != multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))
    | X_43 = multiply(X_43,X_43) ),
    inference(resolve,[$cnf( $equal(X_43,multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) )],[refute_0_433,refute_0_455]) ).

cnf(refute_0_457,plain,
    X_43 = multiply(X_43,X_43),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiplicative_identity),multiply(X_43,X_43)),multiply(multiply(X_43,X_43),add(multiplicative_identity,X_43))) )],[refute_0_372,refute_0_456]) ).

cnf(refute_0_458,plain,
    ( X_43 != multiply(X_43,X_43)
    | multiply(X_43,X_43) = X_43 ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(X_43)),bind(Y0,$fot(multiply(X_43,X_43)))]]) ).

cnf(refute_0_459,plain,
    multiply(X_43,X_43) = X_43,
    inference(resolve,[$cnf( $equal(X_43,multiply(X_43,X_43)) )],[refute_0_457,refute_0_458]) ).

cnf(refute_0_460,plain,
    multiply(Y,Y) = Y,
    inference(subst,[],[refute_0_459:[bind(X_43,$fot(Y))]]) ).

cnf(refute_0_461,plain,
    add(multiply(Y,Y),multiply(X_42,additive_identity)) = add(multiply(Y,Y),multiply(X_42,additive_identity)),
    introduced(tautology,[refl,[$fot(add(multiply(Y,Y),multiply(X_42,additive_identity)))]]) ).

cnf(refute_0_462,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),multiply(X_42,additive_identity)) != add(multiply(Y,Y),multiply(X_42,additive_identity))
    | add(multiply(Y,Y),multiply(X_42,additive_identity)) = add(Y,multiply(X_42,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_42,additive_identity)),add(multiply(Y,Y),multiply(X_42,additive_identity))) ),[1,0],$fot(Y)]]) ).

cnf(refute_0_463,plain,
    ( multiply(Y,Y) != Y
    | add(multiply(Y,Y),multiply(X_42,additive_identity)) = add(Y,multiply(X_42,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_42,additive_identity)),add(multiply(Y,Y),multiply(X_42,additive_identity))) )],[refute_0_461,refute_0_462]) ).

cnf(refute_0_464,plain,
    add(multiply(Y,Y),multiply(X_42,additive_identity)) = add(Y,multiply(X_42,additive_identity)),
    inference(resolve,[$cnf( $equal(multiply(Y,Y),Y) )],[refute_0_460,refute_0_463]) ).

cnf(refute_0_465,plain,
    ( add(Y,multiply(additive_identity,X_42)) != add(multiply(Y,Y),multiply(X_42,additive_identity))
    | add(multiply(Y,Y),multiply(X_42,additive_identity)) != add(Y,multiply(X_42,additive_identity))
    | add(Y,multiply(additive_identity,X_42)) = add(Y,multiply(X_42,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,multiply(additive_identity,X_42)),add(Y,multiply(X_42,additive_identity))) ),[0],$fot(add(multiply(Y,Y),multiply(X_42,additive_identity)))]]) ).

cnf(refute_0_466,plain,
    ( add(Y,multiply(additive_identity,X_42)) != add(multiply(Y,Y),multiply(X_42,additive_identity))
    | add(Y,multiply(additive_identity,X_42)) = add(Y,multiply(X_42,additive_identity)) ),
    inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_42,additive_identity)),add(Y,multiply(X_42,additive_identity))) )],[refute_0_464,refute_0_465]) ).

cnf(refute_0_467,plain,
    add(Y,multiply(additive_identity,X_42)) = add(Y,multiply(X_42,additive_identity)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),add(multiply(Y,Y),multiply(X_42,additive_identity))) )],[refute_0_360,refute_0_466]) ).

cnf(refute_0_468,plain,
    ( add(Y,multiply(additive_identity,X_42)) != add(Y,multiply(X_42,additive_identity))
    | add(Y,multiply(X_42,additive_identity)) = add(Y,multiply(additive_identity,X_42)) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(add(Y,multiply(additive_identity,X_42)))),bind(Y0,$fot(add(Y,multiply(X_42,additive_identity))))]]) ).

cnf(refute_0_469,plain,
    add(Y,multiply(X_42,additive_identity)) = add(Y,multiply(additive_identity,X_42)),
    inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_42)),add(Y,multiply(X_42,additive_identity))) )],[refute_0_467,refute_0_468]) ).

cnf(refute_0_470,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),
    inference(subst,[],[refute_0_469:[bind(Y,$fot(inverse(multiply(X_49,additive_identity)))),bind(X_42,$fot(add(multiplicative_identity,X_49)))]]) ).

cnf(refute_0_471,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49)))
    | add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)))),bind(Y0,$fot(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))))),bind(Z0,$fot(multiplicative_identity))]]) ).

cnf(refute_0_472,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))) != multiplicative_identity
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiplicative_identity ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49)))) )],[refute_0_470,refute_0_471]) ).

cnf(refute_0_473,plain,
    add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(additive_identity,add(multiplicative_identity,X_49))),multiplicative_identity) )],[refute_0_263,refute_0_472]) ).

cnf(refute_0_474,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)
    | add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiplicative_identity
    | multiplicative_identity = multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) ),
    introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).

cnf(refute_0_475,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)
    | multiplicative_identity = multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) ),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),multiplicative_identity) )],[refute_0_473,refute_0_474]) ).

cnf(refute_0_476,plain,
    multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) = inverse(multiply(X_49,additive_identity)),
    inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(multiply(X_49,additive_identity))))]]) ).

cnf(refute_0_477,plain,
    ( multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity) != inverse(multiply(X_49,additive_identity))
    | multiplicative_identity != multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(X_49,additive_identity)) ),
    introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)) ),[1],$fot(inverse(multiply(X_49,additive_identity)))]]) ).

cnf(refute_0_478,plain,
    ( multiplicative_identity != multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity),inverse(multiply(X_49,additive_identity))) )],[refute_0_476,refute_0_477]) ).

cnf(refute_0_479,plain,
    ( add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)) != multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)
    | multiplicative_identity = inverse(multiply(X_49,additive_identity)) ),
    inference(resolve,[$cnf( $equal(multiplicative_identity,multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)) )],[refute_0_475,refute_0_478]) ).

cnf(refute_0_480,plain,
    multiplicative_identity = inverse(multiply(X_49,additive_identity)),
    inference(resolve,[$cnf( $equal(add(inverse(multiply(X_49,additive_identity)),multiply(add(multiplicative_identity,X_49),additive_identity)),multiply(inverse(multiply(X_49,additive_identity)),multiplicative_identity)) )],[refute_0_183,refute_0_479]) ).

cnf(refute_0_481,plain,
    ( multiplicative_identity != inverse(multiply(X_49,additive_identity))
    | inverse(multiply(X_49,additive_identity)) = multiplicative_identity ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(inverse(multiply(X_49,additive_identity))))]]) ).

cnf(refute_0_482,plain,
    inverse(multiply(X_49,additive_identity)) = multiplicative_identity,
    inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(X_49,additive_identity))) )],[refute_0_480,refute_0_481]) ).

cnf(refute_0_483,plain,
    inverse(multiply(X_10,additive_identity)) = multiplicative_identity,
    inference(subst,[],[refute_0_482:[bind(X_49,$fot(X_10))]]) ).

cnf(refute_0_484,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_485,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_486,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_484,refute_0_485]) ).

cnf(refute_0_487,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_483,refute_0_486]) ).

cnf(refute_0_488,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_62:[bind(X0,$fot(inverse(inverse(multiply(X_10,additive_identity))))),bind(Y0,$fot(inverse(multiplicative_identity))),bind(Z0,$fot(additive_identity))]]) ).

cnf(refute_0_489,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_487,refute_0_488]) ).

cnf(refute_0_490,plain,
    inverse(inverse(multiply(X_10,additive_identity))) = additive_identity,
    inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_117,refute_0_489]) ).

cnf(refute_0_491,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_492,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_490,refute_0_491]) ).

cnf(refute_0_493,plain,
    add(multiply(X_47,additive_identity),X_48) = multiply(X_48,add(X_48,X_47)),
    inference(subst,[],[refute_0_218:[bind(X_13,$fot(X_47)),bind(X_14,$fot(X_48))]]) ).

cnf(refute_0_494,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_495,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_7:[bind(X0,$fot(multiply(additive_identity,X_47))),bind(Y0,$fot(multiply(X_47,additive_identity)))]]) ).

cnf(refute_0_496,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_494,refute_0_495]) ).

cnf(refute_0_497,plain,
    ( multiply(X_47,additive_identity) != multiply(additive_identity,X_47)
    | add(multiply(X_47,additive_identity),X_48) != multiply(X_48,add(X_48,X_47))
    | add(multiply(additive_identity,X_47),X_48) = multiply(X_48,add(X_48,X_47)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_47,additive_identity),X_48),multiply(X_48,add(X_48,X_47))) ),[0,0],$fot(multiply(additive_identity,X_47))]]) ).

cnf(refute_0_498,plain,
    ( add(multiply(X_47,additive_identity),X_48) != multiply(X_48,add(X_48,X_47))
    | add(multiply(additive_identity,X_47),X_48) = multiply(X_48,add(X_48,X_47)) ),
    inference(resolve,[$cnf( $equal(multiply(X_47,additive_identity),multiply(additive_identity,X_47)) )],[refute_0_496,refute_0_497]) ).

cnf(refute_0_499,plain,
    add(multiply(additive_identity,X_47),X_48) = multiply(X_48,add(X_48,X_47)),
    inference(resolve,[$cnf( $equal(add(multiply(X_47,additive_identity),X_48),multiply(X_48,add(X_48,X_47))) )],[refute_0_493,refute_0_498]) ).

cnf(refute_0_500,plain,
    add(multiply(additive_identity,X_10),additive_identity) = multiply(additive_identity,add(additive_identity,X_10)),
    inference(subst,[],[refute_0_499:[bind(X_47,$fot(X_10)),bind(X_48,$fot(additive_identity))]]) ).

cnf(refute_0_501,plain,
    ( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
    | add(multiply(additive_identity,X_10),additive_identity) != multiply(additive_identity,add(additive_identity,X_10))
    | add(multiply(additive_identity,X_10),additive_identity) = multiply(additive_identity,X_10) ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(multiply(additive_identity,X_10),additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_502,plain,
    ( multiply(additive_identity,add(additive_identity,X_10)) != 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),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_500,refute_0_501]) ).

cnf(refute_0_503,plain,
    add(multiply(additive_identity,X_10),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_303,refute_0_502]) ).

cnf(refute_0_504,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_505,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_506,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_504,refute_0_505]) ).

cnf(refute_0_507,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_490,refute_0_506]) ).

cnf(refute_0_508,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_62:[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_509,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_507,refute_0_508]) ).

cnf(refute_0_510,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_503,refute_0_509]) ).

cnf(refute_0_511,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_512,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_510,refute_0_511]) ).

cnf(refute_0_513,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_492,refute_0_512]) ).

cnf(refute_0_514,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_112,refute_0_513]) ).

cnf(refute_0_515,plain,
    ( additive_identity != multiply(additive_identity,X_10)
    | multiply(additive_identity,X_10) = additive_identity ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_10)))]]) ).

cnf(refute_0_516,plain,
    multiply(additive_identity,X_10) = additive_identity,
    inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_10)) )],[refute_0_514,refute_0_515]) ).

cnf(refute_0_517,plain,
    multiply(additive_identity,add(X_10,X_40)) = additive_identity,
    inference(subst,[],[refute_0_516:[bind(X_10,$fot(add(X_10,X_40)))]]) ).

cnf(refute_0_518,plain,
    ( multiply(additive_identity,add(X_10,X_40)) != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | multiply(additive_identity,add(X_10,X_40)) != additive_identity
    | additive_identity = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) ),[0],$fot(additive_identity)]]) ).

cnf(refute_0_519,plain,
    ( multiply(additive_identity,add(X_10,X_40)) != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | additive_identity = multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) ),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),additive_identity) )],[refute_0_517,refute_0_518]) ).

cnf(refute_0_520,plain,
    add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_31)),
    inference(subst,[],[distributivity2:[bind(X,$fot(multiply(additive_identity,X_11))),bind(Y,$fot(X_30)),bind(Z,$fot(X_31))]]) ).

cnf(refute_0_521,plain,
    add(multiply(additive_identity,X_11),X_31) = multiply(X_31,add(X_11,X_31)),
    inference(subst,[],[refute_0_199:[bind(X_12,$fot(X_31))]]) ).

cnf(refute_0_522,plain,
    ( add(multiply(additive_identity,X_11),X_31) != multiply(X_31,add(X_11,X_31))
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_31))
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),multiply(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_31))) ),[1,1],$fot(multiply(X_31,add(X_11,X_31)))]]) ).

cnf(refute_0_523,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_31))
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_31),multiply(X_31,add(X_11,X_31))) )],[refute_0_521,refute_0_522]) ).

cnf(refute_0_524,plain,
    add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),multiply(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_31))) )],[refute_0_520,refute_0_523]) ).

cnf(refute_0_525,plain,
    add(additive_identity,multiply(X_30,X_31)) = multiply(X_30,X_31),
    inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_30,X_31)))]]) ).

cnf(refute_0_526,plain,
    multiply(additive_identity,X_11) = additive_identity,
    inference(subst,[],[refute_0_516:[bind(X_10,$fot(X_11))]]) ).

cnf(refute_0_527,plain,
    add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = add(multiply(additive_identity,X_11),multiply(X_30,X_31)),
    introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_11),multiply(X_30,X_31)))]]) ).

cnf(refute_0_528,plain,
    ( multiply(additive_identity,X_11) != additive_identity
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != add(multiply(additive_identity,X_11),multiply(X_30,X_31))
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = add(additive_identity,multiply(X_30,X_31)) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),add(multiply(additive_identity,X_11),multiply(X_30,X_31))) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_529,plain,
    ( multiply(additive_identity,X_11) != additive_identity
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = add(additive_identity,multiply(X_30,X_31)) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),add(multiply(additive_identity,X_11),multiply(X_30,X_31))) )],[refute_0_527,refute_0_528]) ).

cnf(refute_0_530,plain,
    add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = add(additive_identity,multiply(X_30,X_31)),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),additive_identity) )],[refute_0_526,refute_0_529]) ).

cnf(refute_0_531,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != add(additive_identity,multiply(X_30,X_31))
    | add(additive_identity,multiply(X_30,X_31)) != multiply(X_30,X_31)
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(X_30,X_31) ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(multiply(additive_identity,X_11),multiply(X_30,X_31)))),bind(Y0,$fot(add(additive_identity,multiply(X_30,X_31)))),bind(Z0,$fot(multiply(X_30,X_31)))]]) ).

cnf(refute_0_532,plain,
    ( add(additive_identity,multiply(X_30,X_31)) != multiply(X_30,X_31)
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(X_30,X_31) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),add(additive_identity,multiply(X_30,X_31))) )],[refute_0_530,refute_0_531]) ).

cnf(refute_0_533,plain,
    add(multiply(additive_identity,X_11),multiply(X_30,X_31)) = multiply(X_30,X_31),
    inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_30,X_31)),multiply(X_30,X_31)) )],[refute_0_525,refute_0_532]) ).

cnf(refute_0_534,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(X_30,X_31)
    | add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,X_31) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))) ),[0],$fot(multiply(X_30,X_31))]]) ).

cnf(refute_0_535,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,X_31) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),multiply(X_30,X_31)) )],[refute_0_533,refute_0_534]) ).

cnf(refute_0_536,plain,
    add(additive_identity,X_30) = X_30,
    inference(subst,[],[additive_id2:[bind(X,$fot(X_30))]]) ).

cnf(refute_0_537,plain,
    add(multiply(additive_identity,X_11),X_30) = add(multiply(additive_identity,X_11),X_30),
    introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_11),X_30))]]) ).

cnf(refute_0_538,plain,
    ( multiply(additive_identity,X_11) != additive_identity
    | add(multiply(additive_identity,X_11),X_30) != add(multiply(additive_identity,X_11),X_30)
    | add(multiply(additive_identity,X_11),X_30) = add(additive_identity,X_30) ),
    introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_30)) ),[1,0],$fot(additive_identity)]]) ).

cnf(refute_0_539,plain,
    ( multiply(additive_identity,X_11) != additive_identity
    | add(multiply(additive_identity,X_11),X_30) = add(additive_identity,X_30) ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_30),add(multiply(additive_identity,X_11),X_30)) )],[refute_0_537,refute_0_538]) ).

cnf(refute_0_540,plain,
    add(multiply(additive_identity,X_11),X_30) = add(additive_identity,X_30),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),additive_identity) )],[refute_0_526,refute_0_539]) ).

cnf(refute_0_541,plain,
    ( add(multiply(additive_identity,X_11),X_30) != add(additive_identity,X_30)
    | add(additive_identity,X_30) != X_30
    | add(multiply(additive_identity,X_11),X_30) = X_30 ),
    inference(subst,[],[refute_0_62:[bind(X0,$fot(add(multiply(additive_identity,X_11),X_30))),bind(Y0,$fot(add(additive_identity,X_30))),bind(Z0,$fot(X_30))]]) ).

cnf(refute_0_542,plain,
    ( add(additive_identity,X_30) != X_30
    | add(multiply(additive_identity,X_11),X_30) = X_30 ),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_30),add(additive_identity,X_30)) )],[refute_0_540,refute_0_541]) ).

cnf(refute_0_543,plain,
    add(multiply(additive_identity,X_11),X_30) = X_30,
    inference(resolve,[$cnf( $equal(add(additive_identity,X_30),X_30) )],[refute_0_536,refute_0_542]) ).

cnf(refute_0_544,plain,
    multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) = multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))),
    introduced(tautology,[refl,[$fot(multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))))]]) ).

cnf(refute_0_545,plain,
    ( multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | add(multiply(additive_identity,X_11),X_30) != X_30
    | multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) = multiply(X_30,multiply(X_31,add(X_11,X_31))) ),
    introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))),multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))) ),[1,0],$fot(X_30)]]) ).

cnf(refute_0_546,plain,
    ( add(multiply(additive_identity,X_11),X_30) != X_30
    | multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) = multiply(X_30,multiply(X_31,add(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))),multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))) )],[refute_0_544,refute_0_545]) ).

cnf(refute_0_547,plain,
    multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) = multiply(X_30,multiply(X_31,add(X_11,X_31))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_30),X_30) )],[refute_0_543,refute_0_546]) ).

cnf(refute_0_548,plain,
    ( multiply(X_30,X_31) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))) != multiply(X_30,multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,X_31) = multiply(X_30,multiply(X_31,add(X_11,X_31))) ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_30,X_31),multiply(X_30,multiply(X_31,add(X_11,X_31)))) ),[0],$fot(multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))))]]) ).

cnf(refute_0_549,plain,
    ( multiply(X_30,X_31) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,X_31) = multiply(X_30,multiply(X_31,add(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31))),multiply(X_30,multiply(X_31,add(X_11,X_31)))) )],[refute_0_547,refute_0_548]) ).

cnf(refute_0_550,plain,
    ( add(multiply(additive_identity,X_11),multiply(X_30,X_31)) != multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,X_31) = multiply(X_30,multiply(X_31,add(X_11,X_31))) ),
    inference(resolve,[$cnf( $equal(multiply(X_30,X_31),multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))) )],[refute_0_535,refute_0_549]) ).

cnf(refute_0_551,plain,
    multiply(X_30,X_31) = multiply(X_30,multiply(X_31,add(X_11,X_31))),
    inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_30,X_31)),multiply(add(multiply(additive_identity,X_11),X_30),multiply(X_31,add(X_11,X_31)))) )],[refute_0_524,refute_0_550]) ).

cnf(refute_0_552,plain,
    ( multiply(X_30,X_31) != multiply(X_30,multiply(X_31,add(X_11,X_31)))
    | multiply(X_30,multiply(X_31,add(X_11,X_31))) = multiply(X_30,X_31) ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(multiply(X_30,X_31))),bind(Y0,$fot(multiply(X_30,multiply(X_31,add(X_11,X_31)))))]]) ).

cnf(refute_0_553,plain,
    multiply(X_30,multiply(X_31,add(X_11,X_31))) = multiply(X_30,X_31),
    inference(resolve,[$cnf( $equal(multiply(X_30,X_31),multiply(X_30,multiply(X_31,add(X_11,X_31)))) )],[refute_0_551,refute_0_552]) ).

cnf(refute_0_554,plain,
    multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) = multiply(multiply(X_10,additive_identity),X_40),
    inference(subst,[],[refute_0_553:[bind(X_11,$fot(X_10)),bind(X_30,$fot(multiply(X_10,additive_identity))),bind(X_31,$fot(X_40))]]) ).

cnf(refute_0_555,plain,
    ( multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))) != multiply(multiply(X_10,additive_identity),X_40)
    | additive_identity != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | additive_identity = multiply(multiply(X_10,additive_identity),X_40) ),
    introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) ),[1],$fot(multiply(multiply(X_10,additive_identity),X_40))]]) ).

cnf(refute_0_556,plain,
    ( additive_identity != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | additive_identity = multiply(multiply(X_10,additive_identity),X_40) ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40))),multiply(multiply(X_10,additive_identity),X_40)) )],[refute_0_554,refute_0_555]) ).

cnf(refute_0_557,plain,
    ( multiply(additive_identity,add(X_10,X_40)) != multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))
    | additive_identity = multiply(multiply(X_10,additive_identity),X_40) ),
    inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) )],[refute_0_519,refute_0_556]) ).

cnf(refute_0_558,plain,
    additive_identity = multiply(multiply(X_10,additive_identity),X_40),
    inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_40)),multiply(multiply(X_10,additive_identity),multiply(X_40,add(X_10,X_40)))) )],[refute_0_68,refute_0_557]) ).

cnf(refute_0_559,plain,
    ( additive_identity != multiply(multiply(X_10,additive_identity),X_40)
    | multiply(multiply(X_10,additive_identity),X_40) = additive_identity ),
    inference(subst,[],[refute_0_7:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(X_10,additive_identity),X_40)))]]) ).

cnf(refute_0_560,plain,
    multiply(multiply(X_10,additive_identity),X_40) = additive_identity,
    inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_10,additive_identity),X_40)) )],[refute_0_558,refute_0_559]) ).

cnf(refute_0_561,plain,
    multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)) = additive_identity,
    inference(subst,[],[refute_0_560:[bind(X_40,$fot(add(X_10,multiplicative_identity)))]]) ).

cnf(refute_0_562,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))
    | multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)) != additive_identity
    | multiply(X_10,additive_identity) = additive_identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),additive_identity) ),[0],$fot(multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)))]]) ).

cnf(refute_0_563,plain,
    ( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))
    | multiply(X_10,additive_identity) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity)),additive_identity) )],[refute_0_561,refute_0_562]) ).

cnf(refute_0_564,plain,
    multiply(X_10,additive_identity) = additive_identity,
    inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),add(X_10,multiplicative_identity))) )],[refute_0_42,refute_0_563]) ).

cnf(refute_0_565,plain,
    multiply(a,additive_identity) = additive_identity,
    inference(subst,[],[refute_0_564:[bind(X_10,$fot(a))]]) ).

cnf(refute_0_566,plain,
    ( multiply(a,additive_identity) != additive_identity
    | additive_identity != additive_identity
    | multiply(a,additive_identity) = additive_identity ),
    introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,additive_identity),additive_identity) ),[0],$fot(additive_identity)]]) ).

cnf(refute_0_567,plain,
    ( additive_identity != additive_identity
    | multiply(a,additive_identity) = additive_identity ),
    inference(resolve,[$cnf( $equal(multiply(a,additive_identity),additive_identity) )],[refute_0_565,refute_0_566]) ).

cnf(refute_0_568,plain,
    additive_identity != additive_identity,
    inference(resolve,[$cnf( $equal(multiply(a,additive_identity),additive_identity) )],[refute_0_567,prove_right_identity]) ).

cnf(refute_0_569,plain,
    additive_identity = additive_identity,
    introduced(tautology,[refl,[$fot(additive_identity)]]) ).

cnf(refute_0_570,plain,
    $false,
    inference(resolve,[$cnf( $equal(additive_identity,additive_identity) )],[refute_0_569,refute_0_568]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : BOO006-2 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun  1 20:40:21 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.55/0.71  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.71  
% 0.55/0.71  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.60/0.79  
%------------------------------------------------------------------------------