TSTP Solution File: BOO014-4 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n025.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 23:44:37 EDT 2022
% Result : Unsatisfiable 2.24s 2.45s
% Output : CNFRefutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 123
% Number of leaves : 255
% Syntax : Number of clauses : 1201 ( 620 unt; 0 nHn; 564 RR)
% Number of literals : 2032 (2031 equ; 833 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 2404 ( 147 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(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ).
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity ).
cnf(prove_c_inverse_is_d,negated_conjecture,
inverse(add(a,b)) != multiply(inverse(a),inverse(b)) ).
cnf(refute_0_0,plain,
multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),multiply(X_39,inverse(X_39))),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(inverse(X_39)))]]) ).
cnf(refute_0_1,plain,
multiply(X_39,inverse(X_39)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_2,plain,
( multiply(X_39,add(X_40,inverse(X_39))) != add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))
| multiply(X_39,inverse(X_39)) != additive_identity
| multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,inverse(X_39))),add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_3,plain,
( multiply(X_39,add(X_40,inverse(X_39))) != add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))
| multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(X_39)),additive_identity) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,inverse(X_39))),add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
add(multiply(X_39,X_40),additive_identity) = multiply(X_39,X_40),
inference(subst,[],[additive_id1:[bind(X,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_6,plain,
( multiply(X_39,add(X_40,inverse(X_39))) != add(multiply(X_39,X_40),additive_identity)
| add(multiply(X_39,X_40),additive_identity) != multiply(X_39,X_40)
| multiply(X_39,add(X_40,inverse(X_39))) = multiply(X_39,X_40) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,add(X_40,inverse(X_39))),multiply(X_39,X_40)) ),[0],$fot(add(multiply(X_39,X_40),additive_identity))]]) ).
cnf(refute_0_7,plain,
( multiply(X_39,add(X_40,inverse(X_39))) != add(multiply(X_39,X_40),additive_identity)
| multiply(X_39,add(X_40,inverse(X_39))) = multiply(X_39,X_40) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_40),additive_identity),multiply(X_39,X_40)) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(X_39,add(X_40,inverse(X_39))) = multiply(X_39,X_40),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,inverse(X_39))),add(multiply(X_39,X_40),additive_identity)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
multiply(inverse(X_47),add(X_98,inverse(inverse(X_47)))) = multiply(inverse(X_47),X_98),
inference(subst,[],[refute_0_8:[bind(X_39,$fot(inverse(X_47))),bind(X_40,$fot(X_98))]]) ).
cnf(refute_0_10,plain,
multiply(X_39,add(inverse(X_39),X_41)) = add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(inverse(X_39))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_11,plain,
( multiply(X_39,add(inverse(X_39),X_41)) != add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41))
| multiply(X_39,inverse(X_39)) != additive_identity
| multiply(X_39,add(inverse(X_39),X_41)) = add(additive_identity,multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),X_41)),add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_12,plain,
( multiply(X_39,add(inverse(X_39),X_41)) != add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41))
| multiply(X_39,add(inverse(X_39),X_41)) = add(additive_identity,multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(X_39)),additive_identity) )],[refute_0_1,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X_39,add(inverse(X_39),X_41)) = add(additive_identity,multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),X_41)),add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41))) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
add(X,additive_identity) = add(additive_identity,X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_15,plain,
( add(X,additive_identity) != X
| add(X,additive_identity) != add(additive_identity,X)
| add(additive_identity,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,additive_identity),X) ),[0],$fot(add(additive_identity,X))]]) ).
cnf(refute_0_16,plain,
( add(X,additive_identity) != X
| add(additive_identity,X) = X ),
inference(resolve,[$cnf( $equal(add(X,additive_identity),add(additive_identity,X)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
add(additive_identity,X) = X,
inference(resolve,[$cnf( $equal(add(X,additive_identity),X) )],[additive_id1,refute_0_16]) ).
cnf(refute_0_18,plain,
add(additive_identity,multiply(X_39,X_41)) = multiply(X_39,X_41),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiply(X_39,X_41)))]]) ).
cnf(refute_0_19,plain,
( multiply(X_39,add(inverse(X_39),X_41)) != add(additive_identity,multiply(X_39,X_41))
| add(additive_identity,multiply(X_39,X_41)) != multiply(X_39,X_41)
| multiply(X_39,add(inverse(X_39),X_41)) = multiply(X_39,X_41) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,add(inverse(X_39),X_41)),multiply(X_39,X_41)) ),[0],$fot(add(additive_identity,multiply(X_39,X_41)))]]) ).
cnf(refute_0_20,plain,
( multiply(X_39,add(inverse(X_39),X_41)) != add(additive_identity,multiply(X_39,X_41))
| multiply(X_39,add(inverse(X_39),X_41)) = multiply(X_39,X_41) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_39,X_41)),multiply(X_39,X_41)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_39,add(inverse(X_39),X_41)) = multiply(X_39,X_41),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),X_41)),add(additive_identity,multiply(X_39,X_41))) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X_47,add(inverse(X_47),inverse(inverse(X_47)))) = multiply(X_47,inverse(inverse(X_47))),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(X_47)),bind(X_41,$fot(inverse(inverse(X_47))))]]) ).
cnf(refute_0_23,plain,
add(inverse(X_47),inverse(inverse(X_47))) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(inverse(X_47)))]]) ).
cnf(refute_0_24,plain,
( multiply(X_47,add(inverse(X_47),inverse(inverse(X_47)))) != multiply(X_47,inverse(inverse(X_47)))
| add(inverse(X_47),inverse(inverse(X_47))) != multiplicative_identity
| multiply(X_47,multiplicative_identity) = multiply(X_47,inverse(inverse(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,add(inverse(X_47),inverse(inverse(X_47)))),multiply(X_47,inverse(inverse(X_47)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_25,plain,
( multiply(X_47,add(inverse(X_47),inverse(inverse(X_47)))) != multiply(X_47,inverse(inverse(X_47)))
| multiply(X_47,multiplicative_identity) = multiply(X_47,inverse(inverse(X_47))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_47),inverse(inverse(X_47))),multiplicative_identity) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
multiply(X_47,multiplicative_identity) = multiply(X_47,inverse(inverse(X_47))),
inference(resolve,[$cnf( $equal(multiply(X_47,add(inverse(X_47),inverse(inverse(X_47)))),multiply(X_47,inverse(inverse(X_47)))) )],[refute_0_22,refute_0_25]) ).
cnf(refute_0_27,plain,
multiply(X_47,multiplicative_identity) = X_47,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_47))]]) ).
cnf(refute_0_28,plain,
( multiply(X_47,multiplicative_identity) != X_47
| multiply(X_47,multiplicative_identity) != multiply(X_47,inverse(inverse(X_47)))
| X_47 = multiply(X_47,inverse(inverse(X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiplicative_identity),multiply(X_47,inverse(inverse(X_47)))) ),[0],$fot(X_47)]]) ).
cnf(refute_0_29,plain,
( multiply(X_47,multiplicative_identity) != multiply(X_47,inverse(inverse(X_47)))
| X_47 = multiply(X_47,inverse(inverse(X_47))) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiplicative_identity),X_47) )],[refute_0_27,refute_0_28]) ).
cnf(refute_0_30,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),add(X_10,additive_identity)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_31,plain,
add(X_10,additive_identity) = X_10,
inference(subst,[],[additive_id1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_32,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),add(X_10,additive_identity))
| add(X_10,additive_identity) != X_10
| add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),add(X_10,additive_identity))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_33,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),add(X_10,additive_identity))
| add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),add(X_10,additive_identity))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_36,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_37,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_35,refute_0_36]) ).
cnf(refute_0_38,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_39,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(add(X_10,X_11),X_10) = multiply(X_10,add(X_10,X_11)),
inference(subst,[],[refute_0_39:[bind(X,$fot(X_10)),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_41,plain,
( multiply(add(X_10,X_11),X_10) != multiply(X_10,add(X_10,X_11))
| add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),X_10)
| add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),X_10)) ),[1],$fot(multiply(X_10,add(X_10,X_11)))]]) ).
cnf(refute_0_42,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),X_10)
| add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),X_10),multiply(X_10,add(X_10,X_11))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),X_10)) )],[refute_0_34,refute_0_42]) ).
cnf(refute_0_44,plain,
add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_21,X_22)),
inference(subst,[],[refute_0_43:[bind(X_10,$fot(X_21)),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_45,plain,
add(X_22,X_21) = add(X_21,X_22),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_22)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_46,plain,
( add(X_22,X_21) != add(X_21,X_22)
| add(X_21,X_22) = add(X_22,X_21) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_22,X_21))),bind(Y0,$fot(add(X_21,X_22)))]]) ).
cnf(refute_0_47,plain,
add(X_21,X_22) = add(X_22,X_21),
inference(resolve,[$cnf( $equal(add(X_22,X_21),add(X_21,X_22)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( add(X_21,X_22) != add(X_22,X_21)
| add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_21,X_22))
| add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_22,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_21,X_22))) ),[1,1],$fot(add(X_22,X_21))]]) ).
cnf(refute_0_49,plain,
( add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_21,X_22))
| add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_22,X_21)) ),
inference(resolve,[$cnf( $equal(add(X_21,X_22),add(X_22,X_21)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_22,X_21)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_21,X_22))) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34)))),
inference(subst,[],[refute_0_50:[bind(X_21,$fot(inverse(inverse(X_34)))),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_52,plain,
add(X_10,multiply(inverse(X_10),X_12)) = multiply(add(X_10,inverse(X_10)),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_53,plain,
add(X_10,inverse(X_10)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_54,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(add(X_10,inverse(X_10)),add(X_10,X_12))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(add(X_10,inverse(X_10)),add(X_10,X_12))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_55,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(add(X_10,inverse(X_10)),add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(add(X_10,inverse(X_10)),add(X_10,X_12))) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X,multiplicative_identity) = multiply(multiplicative_identity,X),
inference(subst,[],[commutativity_of_multiply:[bind(Y,$fot(multiplicative_identity))]]) ).
cnf(refute_0_58,plain,
( multiply(X,multiplicative_identity) != X
| multiply(X,multiplicative_identity) != multiply(multiplicative_identity,X)
| multiply(multiplicative_identity,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiplicative_identity),X) ),[0],$fot(multiply(multiplicative_identity,X))]]) ).
cnf(refute_0_59,plain,
( multiply(X,multiplicative_identity) != X
| multiply(multiplicative_identity,X) = X ),
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),multiply(multiplicative_identity,X)) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(multiplicative_identity,X) = X,
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),X) )],[multiplicative_id1,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(multiplicative_identity,add(X_10,X_12)) = add(X_10,X_12),
inference(subst,[],[refute_0_60:[bind(X,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_62,plain,
( multiply(multiplicative_identity,add(X_10,X_12)) != add(X_10,X_12)
| add(X_10,multiply(inverse(X_10),X_12)) != multiply(multiplicative_identity,add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(multiplicative_identity,add(X_10,X_12))) ),[1],$fot(add(X_10,X_12))]]) ).
cnf(refute_0_63,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(multiplicative_identity,add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,X_12)),add(X_10,X_12)) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(multiplicative_identity,add(X_10,X_12))) )],[refute_0_56,refute_0_63]) ).
cnf(refute_0_65,plain,
add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))) = add(X_18,inverse(inverse(X_18))),
inference(subst,[],[refute_0_64:[bind(X_10,$fot(X_18)),bind(X_12,$fot(inverse(inverse(X_18))))]]) ).
cnf(refute_0_66,plain,
multiply(inverse(X_18),inverse(inverse(X_18))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(inverse(X_18)))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(X_18),inverse(inverse(X_18))) != additive_identity
| add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))) != add(X_18,inverse(inverse(X_18)))
| add(X_18,additive_identity) = add(X_18,inverse(inverse(X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))),add(X_18,inverse(inverse(X_18)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_68,plain,
( add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))) != add(X_18,inverse(inverse(X_18)))
| add(X_18,additive_identity) = add(X_18,inverse(inverse(X_18))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_18),inverse(inverse(X_18))),additive_identity) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
add(X_18,additive_identity) = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))),add(X_18,inverse(inverse(X_18)))) )],[refute_0_65,refute_0_68]) ).
cnf(refute_0_70,plain,
add(X_18,additive_identity) = X_18,
inference(subst,[],[additive_id1:[bind(X,$fot(X_18))]]) ).
cnf(refute_0_71,plain,
( add(X_18,additive_identity) != X_18
| add(X_18,additive_identity) != add(X_18,inverse(inverse(X_18)))
| X_18 = add(X_18,inverse(inverse(X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_18,additive_identity),add(X_18,inverse(inverse(X_18)))) ),[0],$fot(X_18)]]) ).
cnf(refute_0_72,plain,
( add(X_18,additive_identity) != add(X_18,inverse(inverse(X_18)))
| X_18 = add(X_18,inverse(inverse(X_18))) ),
inference(resolve,[$cnf( $equal(add(X_18,additive_identity),X_18) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
X_18 = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(X_18,additive_identity),add(X_18,inverse(inverse(X_18)))) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
X_34 = add(X_34,inverse(inverse(X_34))),
inference(subst,[],[refute_0_73:[bind(X_18,$fot(X_34))]]) ).
cnf(refute_0_75,plain,
( X_34 != add(X_34,inverse(inverse(X_34)))
| add(X_34,inverse(inverse(X_34))) = X_34 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_34)),bind(Y0,$fot(add(X_34,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_76,plain,
add(X_34,inverse(inverse(X_34))) = X_34,
inference(resolve,[$cnf( $equal(X_34,add(X_34,inverse(inverse(X_34)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( add(X_34,inverse(inverse(X_34))) != X_34
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_78,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),X_34) ),
inference(resolve,[$cnf( $equal(add(X_34,inverse(inverse(X_34))),X_34) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),X_34),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))) )],[refute_0_51,refute_0_78]) ).
cnf(refute_0_80,plain,
multiply(inverse(inverse(X_34)),X_34) = multiply(X_34,inverse(inverse(X_34))),
inference(subst,[],[refute_0_39:[bind(X,$fot(X_34)),bind(Y,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_81,plain,
( multiply(inverse(inverse(X_34)),X_34) != multiply(X_34,inverse(inverse(X_34)))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),X_34)
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(X_34,inverse(inverse(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),X_34)) ),[1],$fot(multiply(X_34,inverse(inverse(X_34))))]]) ).
cnf(refute_0_82,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),X_34)
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(X_34,inverse(inverse(X_34))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_34)),X_34),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_80,refute_0_81]) ).
cnf(refute_0_83,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(X_34,inverse(inverse(X_34))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),X_34)) )],[refute_0_79,refute_0_82]) ).
cnf(refute_0_84,plain,
add(inverse(inverse(X_34)),additive_identity) = inverse(inverse(X_34)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_85,plain,
add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),
inference(subst,[],[refute_0_43:[bind(X_10,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_86,plain,
add(multiply(additive_identity,additive_identity),Y) = add(Y,multiply(additive_identity,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_87,plain,
add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,add(X_21,additive_identity)),
inference(subst,[],[refute_0_43:[bind(X_10,$fot(X_21)),bind(X_11,$fot(additive_identity))]]) ).
cnf(refute_0_88,plain,
add(X_21,additive_identity) = X_21,
inference(subst,[],[additive_id1:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_89,plain,
( add(X_21,multiply(additive_identity,additive_identity)) != multiply(X_21,add(X_21,additive_identity))
| add(X_21,additive_identity) != X_21
| add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,X_21) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(additive_identity,additive_identity)),multiply(X_21,add(X_21,additive_identity))) ),[1,1],$fot(X_21)]]) ).
cnf(refute_0_90,plain,
( add(X_21,multiply(additive_identity,additive_identity)) != multiply(X_21,add(X_21,additive_identity))
| add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,X_21) ),
inference(resolve,[$cnf( $equal(add(X_21,additive_identity),X_21) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,X_21),
inference(resolve,[$cnf( $equal(add(X_21,multiply(additive_identity,additive_identity)),multiply(X_21,add(X_21,additive_identity))) )],[refute_0_87,refute_0_90]) ).
cnf(refute_0_92,plain,
add(Y,multiply(additive_identity,additive_identity)) = multiply(Y,Y),
inference(subst,[],[refute_0_91:[bind(X_21,$fot(Y))]]) ).
cnf(refute_0_93,plain,
( add(Y,multiply(additive_identity,additive_identity)) != multiply(Y,Y)
| add(multiply(additive_identity,additive_identity),Y) != add(Y,multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),Y),add(Y,multiply(additive_identity,additive_identity))) ),[1],$fot(multiply(Y,Y))]]) ).
cnf(refute_0_94,plain,
( add(multiply(additive_identity,additive_identity),Y) != add(Y,multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),multiply(Y,Y)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),Y),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_86,refute_0_94]) ).
cnf(refute_0_96,plain,
add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),
inference(subst,[],[refute_0_95:[bind(Y,$fot(multiply(X_11,additive_identity)))]]) ).
cnf(refute_0_97,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity))
| add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))) ),[0],$fot(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)))]]) ).
cnf(refute_0_98,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))) )],[refute_0_85,refute_0_98]) ).
cnf(refute_0_100,plain,
add(X_11,additive_identity) = X_11,
inference(subst,[],[additive_id1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_101,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_11,additive_identity)))]]) ).
cnf(refute_0_102,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_103,plain,
( add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_101,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(add(X_11,additive_identity),X_11) )],[refute_0_100,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_106,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity2,refute_0_105]) ).
cnf(refute_0_107,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(subst,[],[refute_0_106:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_108,plain,
add(multiply(additive_identity,X_24),Y) = add(Y,multiply(additive_identity,X_24)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,X_24)))]]) ).
cnf(refute_0_109,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(add(X_10,additive_identity),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_110,plain,
( add(X_10,multiply(additive_identity,X_12)) != multiply(add(X_10,additive_identity),add(X_10,X_12))
| add(X_10,additive_identity) != X_10
| add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(add(X_10,additive_identity),add(X_10,X_12))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_111,plain,
( add(X_10,multiply(additive_identity,X_12)) != multiply(add(X_10,additive_identity),add(X_10,X_12))
| add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_31,refute_0_110]) ).
cnf(refute_0_112,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(add(X_10,additive_identity),add(X_10,X_12))) )],[refute_0_109,refute_0_111]) ).
cnf(refute_0_113,plain,
add(Y,multiply(additive_identity,X_24)) = multiply(Y,add(Y,X_24)),
inference(subst,[],[refute_0_112:[bind(X_10,$fot(Y)),bind(X_12,$fot(X_24))]]) ).
cnf(refute_0_114,plain,
( add(Y,multiply(additive_identity,X_24)) != multiply(Y,add(Y,X_24))
| add(multiply(additive_identity,X_24),Y) != add(Y,multiply(additive_identity,X_24))
| add(multiply(additive_identity,X_24),Y) = multiply(Y,add(Y,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_24),Y),add(Y,multiply(additive_identity,X_24))) ),[1],$fot(multiply(Y,add(Y,X_24)))]]) ).
cnf(refute_0_115,plain,
( add(multiply(additive_identity,X_24),Y) != add(Y,multiply(additive_identity,X_24))
| add(multiply(additive_identity,X_24),Y) = multiply(Y,add(Y,X_24)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_24)),multiply(Y,add(Y,X_24))) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
add(multiply(additive_identity,X_24),Y) = multiply(Y,add(Y,X_24)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),Y),add(Y,multiply(additive_identity,X_24))) )],[refute_0_108,refute_0_115]) ).
cnf(refute_0_117,plain,
( add(multiply(additive_identity,X_24),Y) != multiply(Y,add(Y,X_24))
| multiply(Y,add(Y,X_24)) = add(multiply(additive_identity,X_24),Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(additive_identity,X_24),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_24))))]]) ).
cnf(refute_0_118,plain,
multiply(Y,add(Y,X_24)) = add(multiply(additive_identity,X_24),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),Y),multiply(Y,add(Y,X_24))) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_118:[bind(Y,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_11))]]) ).
cnf(refute_0_120,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_121,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_37,refute_0_120]) ).
cnf(refute_0_122,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,add(X_11,additive_identity)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)))),bind(Y0,$fot(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,add(X_11,additive_identity))))]]) ).
cnf(refute_0_123,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,add(X_11,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity))) )],[refute_0_119,refute_0_122]) ).
cnf(refute_0_124,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_107,refute_0_123]) ).
cnf(refute_0_125,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != multiply(additive_identity,add(X_11,additive_identity))
| multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)))),bind(Y0,$fot(multiply(additive_identity,add(X_11,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_11)))]]) ).
cnf(refute_0_126,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_124,refute_0_125]) ).
cnf(refute_0_127,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_104,refute_0_126]) ).
cnf(refute_0_128,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != multiply(additive_identity,X_11)
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,X_11)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)))]]) ).
cnf(refute_0_129,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),multiply(additive_identity,X_11)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))) )],[refute_0_99,refute_0_129]) ).
cnf(refute_0_131,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),add(Z,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Z))]]) ).
cnf(refute_0_132,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),add(X_10,inverse(X_10))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_133,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),add(X_10,inverse(X_10)))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),add(X_10,inverse(X_10)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_134,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),add(X_10,inverse(X_10)))
| add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_53,refute_0_133]) ).
cnf(refute_0_135,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),add(X_10,inverse(X_10)))) )],[refute_0_132,refute_0_134]) ).
cnf(refute_0_136,plain,
multiply(add(X_10,X_11),multiplicative_identity) = add(X_10,X_11),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_137,plain,
( multiply(add(X_10,X_11),multiplicative_identity) != add(X_10,X_11)
| add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),multiplicative_identity)
| add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),multiplicative_identity)) ),[1],$fot(add(X_10,X_11))]]) ).
cnf(refute_0_138,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),multiplicative_identity)
| add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),multiplicative_identity),add(X_10,X_11)) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),multiplicative_identity)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
add(X_13,multiply(X_13,inverse(X_13))) = add(X_13,X_13),
inference(subst,[],[refute_0_139:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_141,plain,
multiply(X_13,inverse(X_13)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_142,plain,
( multiply(X_13,inverse(X_13)) != additive_identity
| add(X_13,multiply(X_13,inverse(X_13))) != add(X_13,X_13)
| add(X_13,additive_identity) = add(X_13,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,multiply(X_13,inverse(X_13))),add(X_13,X_13)) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_143,plain,
( add(X_13,multiply(X_13,inverse(X_13))) != add(X_13,X_13)
| add(X_13,additive_identity) = add(X_13,X_13) ),
inference(resolve,[$cnf( $equal(multiply(X_13,inverse(X_13)),additive_identity) )],[refute_0_141,refute_0_142]) ).
cnf(refute_0_144,plain,
add(X_13,additive_identity) = add(X_13,X_13),
inference(resolve,[$cnf( $equal(add(X_13,multiply(X_13,inverse(X_13))),add(X_13,X_13)) )],[refute_0_140,refute_0_143]) ).
cnf(refute_0_145,plain,
add(X_13,additive_identity) = X_13,
inference(subst,[],[additive_id1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_146,plain,
( add(X_13,additive_identity) != X_13
| add(X_13,additive_identity) != add(X_13,X_13)
| X_13 = add(X_13,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,additive_identity),add(X_13,X_13)) ),[0],$fot(X_13)]]) ).
cnf(refute_0_147,plain,
( add(X_13,additive_identity) != add(X_13,X_13)
| X_13 = add(X_13,X_13) ),
inference(resolve,[$cnf( $equal(add(X_13,additive_identity),X_13) )],[refute_0_145,refute_0_146]) ).
cnf(refute_0_148,plain,
X_13 = add(X_13,X_13),
inference(resolve,[$cnf( $equal(add(X_13,additive_identity),add(X_13,X_13)) )],[refute_0_144,refute_0_147]) ).
cnf(refute_0_149,plain,
Z = add(Z,Z),
inference(subst,[],[refute_0_148:[bind(X_13,$fot(Z))]]) ).
cnf(refute_0_150,plain,
( Z != add(Z,Z)
| add(Z,Z) = Z ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(Z)),bind(Y0,$fot(add(Z,Z)))]]) ).
cnf(refute_0_151,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( add(Z,Z) != Z
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_153,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
inference(resolve,[$cnf( $equal(add(Z,Z),Z) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) )],[refute_0_131,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(add(Z,Y),Z) = multiply(Z,add(Z,Y)),
inference(subst,[],[refute_0_39:[bind(X,$fot(Z)),bind(Y,$fot(add(Z,Y)))]]) ).
cnf(refute_0_156,plain,
( multiply(add(Z,Y),Z) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) ),[1],$fot(multiply(Z,add(Z,Y)))]]) ).
cnf(refute_0_157,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,Y),Z),multiply(Z,add(Z,Y))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
add(X_28,multiply(X_28,X_28)) = multiply(X_28,add(X_28,X_28)),
inference(subst,[],[refute_0_158:[bind(Y,$fot(X_28)),bind(Z,$fot(X_28))]]) ).
cnf(refute_0_160,plain,
add(X_28,multiply(additive_identity,additive_identity)) = multiply(X_28,X_28),
inference(subst,[],[refute_0_91:[bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_161,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != multiply(X_28,X_28)
| multiply(X_28,X_28) = add(X_28,multiply(additive_identity,additive_identity)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_28,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(X_28,X_28)))]]) ).
cnf(refute_0_162,plain,
multiply(X_28,X_28) = add(X_28,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),multiply(X_28,X_28)) )],[refute_0_160,refute_0_161]) ).
cnf(refute_0_163,plain,
( multiply(X_28,X_28) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,multiply(X_28,X_28)) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,add(X_28,X_28)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_28,multiply(X_28,X_28)),multiply(X_28,add(X_28,X_28))) ),[0,1],$fot(add(X_28,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_164,plain,
( add(X_28,multiply(X_28,X_28)) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,add(X_28,X_28)) ),
inference(resolve,[$cnf( $equal(multiply(X_28,X_28),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,add(X_28,X_28)),
inference(resolve,[$cnf( $equal(add(X_28,multiply(X_28,X_28)),multiply(X_28,add(X_28,X_28))) )],[refute_0_159,refute_0_164]) ).
cnf(refute_0_166,plain,
( X_13 != add(X_13,X_13)
| add(X_13,X_13) = X_13 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_13)),bind(Y0,$fot(add(X_13,X_13)))]]) ).
cnf(refute_0_167,plain,
add(X_13,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,add(X_13,X_13)) )],[refute_0_148,refute_0_166]) ).
cnf(refute_0_168,plain,
add(X_28,X_28) = X_28,
inference(subst,[],[refute_0_167:[bind(X_13,$fot(X_28))]]) ).
cnf(refute_0_169,plain,
multiply(X_28,add(X_28,X_28)) = multiply(X_28,add(X_28,X_28)),
introduced(tautology,[refl,[$fot(multiply(X_28,add(X_28,X_28)))]]) ).
cnf(refute_0_170,plain,
( multiply(X_28,add(X_28,X_28)) != multiply(X_28,add(X_28,X_28))
| add(X_28,X_28) != X_28
| multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_28,add(X_28,X_28)),multiply(X_28,add(X_28,X_28))) ),[1,1],$fot(X_28)]]) ).
cnf(refute_0_171,plain,
( add(X_28,X_28) != X_28
| multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28) ),
inference(resolve,[$cnf( $equal(multiply(X_28,add(X_28,X_28)),multiply(X_28,add(X_28,X_28))) )],[refute_0_169,refute_0_170]) ).
cnf(refute_0_172,plain,
multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,X_28),X_28) )],[refute_0_168,refute_0_171]) ).
cnf(refute_0_173,plain,
( multiply(X_28,add(X_28,X_28)) != multiply(X_28,X_28)
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,add(X_28,X_28))) ),[1],$fot(multiply(X_28,X_28))]]) ).
cnf(refute_0_174,plain,
( add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,X_28) ),
inference(resolve,[$cnf( $equal(multiply(X_28,add(X_28,X_28)),multiply(X_28,X_28)) )],[refute_0_172,refute_0_173]) ).
cnf(refute_0_175,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,add(X_28,X_28))) )],[refute_0_165,refute_0_174]) ).
cnf(refute_0_176,plain,
add(X_28,additive_identity) = X_28,
inference(subst,[],[additive_id1:[bind(X,$fot(X_28))]]) ).
cnf(refute_0_177,plain,
multiply(additive_identity,add(additive_identity,X_41)) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_178,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),
inference(subst,[],[refute_0_95:[bind(Y,$fot(multiply(additive_identity,X_41)))]]) ).
cnf(refute_0_179,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| multiply(additive_identity,add(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,add(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) ),[0],$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)))]]) ).
cnf(refute_0_180,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41))
| multiply(additive_identity,add(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_178,refute_0_179]) ).
cnf(refute_0_181,plain,
multiply(additive_identity,add(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41))) )],[refute_0_177,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(multiplicative_identity))]]) ).
cnf(refute_0_183,plain,
multiply(X_39,multiplicative_identity) = X_39,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_184,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))
| multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))) ),[1,1],$fot(X_39)]]) ).
cnf(refute_0_185,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))
| multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),X_39) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiplicative_identity),X_39) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),X_39),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))) )],[refute_0_182,refute_0_185]) ).
cnf(refute_0_187,plain,
add(X_13,multiply(multiplicative_identity,inverse(X_13))) = add(X_13,multiplicative_identity),
inference(subst,[],[refute_0_139:[bind(X_10,$fot(X_13)),bind(X_11,$fot(multiplicative_identity))]]) ).
cnf(refute_0_188,plain,
multiply(multiplicative_identity,inverse(X_13)) = inverse(X_13),
inference(subst,[],[refute_0_60:[bind(X,$fot(inverse(X_13)))]]) ).
cnf(refute_0_189,plain,
( multiply(multiplicative_identity,inverse(X_13)) != inverse(X_13)
| add(X_13,multiply(multiplicative_identity,inverse(X_13))) != add(X_13,multiplicative_identity)
| add(X_13,inverse(X_13)) = add(X_13,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,multiply(multiplicative_identity,inverse(X_13))),add(X_13,multiplicative_identity)) ),[0,1],$fot(inverse(X_13))]]) ).
cnf(refute_0_190,plain,
( add(X_13,multiply(multiplicative_identity,inverse(X_13))) != add(X_13,multiplicative_identity)
| add(X_13,inverse(X_13)) = add(X_13,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(X_13)),inverse(X_13)) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
add(X_13,inverse(X_13)) = add(X_13,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_13,multiply(multiplicative_identity,inverse(X_13))),add(X_13,multiplicative_identity)) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
add(X_13,inverse(X_13)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_193,plain,
( add(X_13,inverse(X_13)) != add(X_13,multiplicative_identity)
| add(X_13,inverse(X_13)) != multiplicative_identity
| multiplicative_identity = add(X_13,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,inverse(X_13)),add(X_13,multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_194,plain,
( add(X_13,inverse(X_13)) != add(X_13,multiplicative_identity)
| multiplicative_identity = add(X_13,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_13,inverse(X_13)),multiplicative_identity) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
multiplicative_identity = add(X_13,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_13,inverse(X_13)),add(X_13,multiplicative_identity)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( multiplicative_identity != add(X_13,multiplicative_identity)
| add(X_13,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_13,multiplicative_identity)))]]) ).
cnf(refute_0_197,plain,
add(X_13,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_13,multiplicative_identity)) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
add(X_40,multiplicative_identity) = multiplicative_identity,
inference(subst,[],[refute_0_197:[bind(X_13,$fot(X_40))]]) ).
cnf(refute_0_199,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,add(X_40,multiplicative_identity)),
introduced(tautology,[refl,[$fot(multiply(X_39,add(X_40,multiplicative_identity)))]]) ).
cnf(refute_0_200,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != multiply(X_39,add(X_40,multiplicative_identity))
| add(X_40,multiplicative_identity) != multiplicative_identity
| multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),multiply(X_39,add(X_40,multiplicative_identity))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_201,plain,
( add(X_40,multiplicative_identity) != multiplicative_identity
| multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),multiply(X_39,add(X_40,multiplicative_identity))) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_40,multiplicative_identity),multiplicative_identity) )],[refute_0_198,refute_0_201]) ).
cnf(refute_0_203,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != multiply(X_39,multiplicative_identity)
| multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = X_39 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(X_39,add(X_40,multiplicative_identity)))),bind(Y0,$fot(multiply(X_39,multiplicative_identity))),bind(Z0,$fot(X_39))]]) ).
cnf(refute_0_204,plain,
( multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),multiply(X_39,multiplicative_identity)) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_39,multiplicative_identity),X_39) )],[refute_0_183,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),X_39)
| X_39 = add(multiply(X_39,X_40),X_39) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),X_39)) ),[0],$fot(X_39)]]) ).
cnf(refute_0_207,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),X_39)
| X_39 = add(multiply(X_39,X_40),X_39) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),X_39) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_209,plain,
Y = add(Y,Y),
inference(subst,[],[refute_0_148:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_210,plain,
( Y != add(Y,Y)
| add(Y,Y) = Y ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(Y)),bind(Y0,$fot(add(Y,Y)))]]) ).
cnf(refute_0_211,plain,
add(Y,Y) = Y,
inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
( add(Y,Y) != Y
| add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_213,plain,
( add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
inference(resolve,[$cnf( $equal(add(Y,Y),Y) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_208,refute_0_213]) ).
cnf(refute_0_215,plain,
add(X_39,multiply(X_39,X_40)) = multiply(X_39,add(X_39,X_40)),
inference(subst,[],[refute_0_214:[bind(Y,$fot(X_39)),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_216,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_217,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_216]) ).
cnf(refute_0_218,plain,
add(multiply(X_39,X_40),X_39) = add(X_39,multiply(X_39,X_40)),
inference(subst,[],[refute_0_217:[bind(X,$fot(X_39)),bind(Y,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_219,plain,
( add(X_39,multiply(X_39,X_40)) != multiply(X_39,add(X_39,X_40))
| add(multiply(X_39,X_40),X_39) != add(X_39,multiply(X_39,X_40))
| add(multiply(X_39,X_40),X_39) = multiply(X_39,add(X_39,X_40)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(X_39,X_40),X_39))),bind(Y0,$fot(add(X_39,multiply(X_39,X_40)))),bind(Z0,$fot(multiply(X_39,add(X_39,X_40))))]]) ).
cnf(refute_0_220,plain,
( add(X_39,multiply(X_39,X_40)) != multiply(X_39,add(X_39,X_40))
| add(multiply(X_39,X_40),X_39) = multiply(X_39,add(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_40),X_39),add(X_39,multiply(X_39,X_40))) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
add(multiply(X_39,X_40),X_39) = multiply(X_39,add(X_39,X_40)),
inference(resolve,[$cnf( $equal(add(X_39,multiply(X_39,X_40)),multiply(X_39,add(X_39,X_40))) )],[refute_0_215,refute_0_220]) ).
cnf(refute_0_222,plain,
( X_39 != add(multiply(X_39,X_40),X_39)
| add(multiply(X_39,X_40),X_39) != multiply(X_39,add(X_39,X_40))
| X_39 = multiply(X_39,add(X_39,X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_39,multiply(X_39,add(X_39,X_40))) ),[0],$fot(add(multiply(X_39,X_40),X_39))]]) ).
cnf(refute_0_223,plain,
( X_39 != add(multiply(X_39,X_40),X_39)
| X_39 = multiply(X_39,add(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_40),X_39),multiply(X_39,add(X_39,X_40))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),X_39)
| X_39 = multiply(X_39,add(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(X_39,add(multiply(X_39,X_40),X_39)) )],[refute_0_207,refute_0_223]) ).
cnf(refute_0_225,plain,
X_39 = multiply(X_39,add(X_39,X_40)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),X_39)) )],[refute_0_186,refute_0_224]) ).
cnf(refute_0_226,plain,
( X_39 != multiply(X_39,add(X_39,X_40))
| multiply(X_39,add(X_39,X_40)) = X_39 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_39)),bind(Y0,$fot(multiply(X_39,add(X_39,X_40))))]]) ).
cnf(refute_0_227,plain,
multiply(X_39,add(X_39,X_40)) = X_39,
inference(resolve,[$cnf( $equal(X_39,multiply(X_39,add(X_39,X_40))) )],[refute_0_225,refute_0_226]) ).
cnf(refute_0_228,plain,
multiply(additive_identity,add(additive_identity,X_41)) = additive_identity,
inference(subst,[],[refute_0_227:[bind(X_39,$fot(additive_identity)),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_229,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| multiply(additive_identity,add(additive_identity,X_41)) != additive_identity
| additive_identity = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_230,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),additive_identity) )],[refute_0_228,refute_0_229]) ).
cnf(refute_0_231,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(subst,[],[refute_0_112:[bind(X_10,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_232,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),
inference(subst,[],[refute_0_95:[bind(Y,$fot(multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_233,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) ),[0],$fot(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_234,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))) )],[refute_0_232,refute_0_233]) ).
cnf(refute_0_235,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_231,refute_0_234]) ).
cnf(refute_0_236,plain,
add(X_12,additive_identity) = X_12,
inference(subst,[],[additive_id1:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_237,plain,
multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,add(X_12,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_12,additive_identity)))]]) ).
cnf(refute_0_238,plain,
( multiply(additive_identity,add(X_12,additive_identity)) != multiply(additive_identity,add(X_12,additive_identity))
| add(X_12,additive_identity) != X_12
| multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_12,additive_identity)),multiply(additive_identity,add(X_12,additive_identity))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_239,plain,
( add(X_12,additive_identity) != X_12
| multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_12,additive_identity)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(add(X_12,additive_identity),X_12) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_12,additive_identity)),
inference(subst,[],[refute_0_106:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_12)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_242,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_118:[bind(Y,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_12))]]) ).
cnf(refute_0_243,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_12,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,add(X_12,additive_identity)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)))),bind(Y0,$fot(add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,add(X_12,additive_identity))))]]) ).
cnf(refute_0_244,plain,
( add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_12,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,add(X_12,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity))) )],[refute_0_242,refute_0_243]) ).
cnf(refute_0_245,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,add(X_12,additive_identity)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_241,refute_0_244]) ).
cnf(refute_0_246,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != multiply(additive_identity,add(X_12,additive_identity))
| multiply(additive_identity,add(X_12,additive_identity)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,X_12) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)))),bind(Y0,$fot(multiply(additive_identity,add(X_12,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_247,plain,
( multiply(additive_identity,add(X_12,additive_identity)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_12,additive_identity)),multiply(additive_identity,X_12)) )],[refute_0_240,refute_0_247]) ).
cnf(refute_0_249,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),multiply(additive_identity,X_12)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),multiply(additive_identity,X_12)) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_235,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) = multiply(additive_identity,X_41),
inference(subst,[],[refute_0_251:[bind(X_12,$fot(X_41))]]) ).
cnf(refute_0_253,plain,
( multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) != multiply(additive_identity,X_41)
| additive_identity != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(additive_identity,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) ),[1],$fot(multiply(additive_identity,X_41))]]) ).
cnf(refute_0_254,plain,
( additive_identity != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(additive_identity,X_41) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),multiply(additive_identity,X_41)) )],[refute_0_252,refute_0_253]) ).
cnf(refute_0_255,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(additive_identity,X_41) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_230,refute_0_254]) ).
cnf(refute_0_256,plain,
additive_identity = multiply(additive_identity,X_41),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_181,refute_0_255]) ).
cnf(refute_0_257,plain,
( additive_identity != multiply(additive_identity,X_41)
| multiply(additive_identity,X_41) = additive_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_41)))]]) ).
cnf(refute_0_258,plain,
multiply(additive_identity,X_41) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_41)) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(subst,[],[refute_0_258:[bind(X_41,$fot(additive_identity))]]) ).
cnf(refute_0_260,plain,
add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,multiply(additive_identity,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_28,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_261,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_28,multiply(additive_identity,additive_identity)) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),add(X_28,multiply(additive_identity,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_262,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_259,refute_0_262]) ).
cnf(refute_0_264,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != add(X_28,additive_identity)
| add(X_28,additive_identity) != X_28
| add(X_28,multiply(additive_identity,additive_identity)) = X_28 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(X_28,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(add(X_28,additive_identity))),bind(Z0,$fot(X_28))]]) ).
cnf(refute_0_265,plain,
( add(X_28,additive_identity) != X_28
| add(X_28,multiply(additive_identity,additive_identity)) = X_28 ),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),add(X_28,additive_identity)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
add(X_28,multiply(additive_identity,additive_identity)) = X_28,
inference(resolve,[$cnf( $equal(add(X_28,additive_identity),X_28) )],[refute_0_176,refute_0_265]) ).
cnf(refute_0_267,plain,
add(add(Y,X_36),multiply(Y,add(Y,X_36))) = multiply(add(Y,X_36),add(add(Y,X_36),Y)),
inference(subst,[],[refute_0_158:[bind(Z,$fot(add(Y,X_36)))]]) ).
cnf(refute_0_268,plain,
add(multiply(additive_identity,X_36),Y) = multiply(Y,add(Y,X_36)),
inference(subst,[],[refute_0_116:[bind(X_24,$fot(X_36))]]) ).
cnf(refute_0_269,plain,
( add(multiply(additive_identity,X_36),Y) != multiply(Y,add(Y,X_36))
| multiply(Y,add(Y,X_36)) = add(multiply(additive_identity,X_36),Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(additive_identity,X_36),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_36))))]]) ).
cnf(refute_0_270,plain,
multiply(Y,add(Y,X_36)) = add(multiply(additive_identity,X_36),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),multiply(Y,add(Y,X_36))) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
( multiply(Y,add(Y,X_36)) != add(multiply(additive_identity,X_36),Y)
| add(add(Y,X_36),multiply(Y,add(Y,X_36))) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = multiply(add(Y,X_36),add(add(Y,X_36),Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(Y,X_36),multiply(Y,add(Y,X_36))),multiply(add(Y,X_36),add(add(Y,X_36),Y))) ),[0,1],$fot(add(multiply(additive_identity,X_36),Y))]]) ).
cnf(refute_0_272,plain,
( add(add(Y,X_36),multiply(Y,add(Y,X_36))) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = multiply(add(Y,X_36),add(add(Y,X_36),Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,X_36)),add(multiply(additive_identity,X_36),Y)) )],[refute_0_270,refute_0_271]) ).
cnf(refute_0_273,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = multiply(add(Y,X_36),add(add(Y,X_36),Y)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),multiply(Y,add(Y,X_36))),multiply(add(Y,X_36),add(add(Y,X_36),Y))) )],[refute_0_267,refute_0_272]) ).
cnf(refute_0_274,plain,
add(multiply(X_22,additive_identity),Y) = add(Y,multiply(X_22,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_275,plain,
add(Y,multiply(X_22,additive_identity)) = multiply(Y,add(Y,X_22)),
inference(subst,[],[refute_0_43:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_276,plain,
( add(Y,multiply(X_22,additive_identity)) != multiply(Y,add(Y,X_22))
| add(multiply(X_22,additive_identity),Y) != add(Y,multiply(X_22,additive_identity))
| add(multiply(X_22,additive_identity),Y) = multiply(Y,add(Y,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_22,additive_identity),Y),add(Y,multiply(X_22,additive_identity))) ),[1],$fot(multiply(Y,add(Y,X_22)))]]) ).
cnf(refute_0_277,plain,
( add(multiply(X_22,additive_identity),Y) != add(Y,multiply(X_22,additive_identity))
| add(multiply(X_22,additive_identity),Y) = multiply(Y,add(Y,X_22)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_22,additive_identity)),multiply(Y,add(Y,X_22))) )],[refute_0_275,refute_0_276]) ).
cnf(refute_0_278,plain,
add(multiply(X_22,additive_identity),Y) = multiply(Y,add(Y,X_22)),
inference(resolve,[$cnf( $equal(add(multiply(X_22,additive_identity),Y),add(Y,multiply(X_22,additive_identity))) )],[refute_0_274,refute_0_277]) ).
cnf(refute_0_279,plain,
add(multiply(X_12,additive_identity),X_10) = multiply(X_10,add(X_10,X_12)),
inference(subst,[],[refute_0_278:[bind(Y,$fot(X_10)),bind(X_22,$fot(X_12))]]) ).
cnf(refute_0_280,plain,
( add(multiply(X_12,additive_identity),X_10) != multiply(X_10,add(X_10,X_12))
| multiply(X_10,add(X_10,X_12)) = add(multiply(X_12,additive_identity),X_10) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(X_12,additive_identity),X_10))),bind(Y0,$fot(multiply(X_10,add(X_10,X_12))))]]) ).
cnf(refute_0_281,plain,
multiply(X_10,add(X_10,X_12)) = add(multiply(X_12,additive_identity),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_12,additive_identity),X_10),multiply(X_10,add(X_10,X_12))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(X_10,add(X_10,X_12)) != add(multiply(X_12,additive_identity),X_10)
| add(X_10,multiply(additive_identity,X_12)) != multiply(X_10,add(X_10,X_12))
| add(X_10,multiply(additive_identity,X_12)) = add(multiply(X_12,additive_identity),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(X_10,add(X_10,X_12))) ),[1],$fot(add(multiply(X_12,additive_identity),X_10))]]) ).
cnf(refute_0_283,plain,
( add(X_10,multiply(additive_identity,X_12)) != multiply(X_10,add(X_10,X_12))
| add(X_10,multiply(additive_identity,X_12)) = add(multiply(X_12,additive_identity),X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_10,X_12)),add(multiply(X_12,additive_identity),X_10)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
add(X_10,multiply(additive_identity,X_12)) = add(multiply(X_12,additive_identity),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(X_10,add(X_10,X_12))) )],[refute_0_112,refute_0_283]) ).
cnf(refute_0_285,plain,
add(add(Y,X_36),multiply(additive_identity,Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(subst,[],[refute_0_284:[bind(X_10,$fot(add(Y,X_36))),bind(X_12,$fot(Y))]]) ).
cnf(refute_0_286,plain,
add(X_33,multiply(X_34,additive_identity)) = multiply(X_33,add(X_34,X_33)),
inference(subst,[],[refute_0_50:[bind(X_21,$fot(X_33)),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_287,plain,
multiply(additive_identity,X_34) = multiply(X_34,additive_identity),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_288,plain,
( multiply(additive_identity,X_34) != multiply(X_34,additive_identity)
| multiply(X_34,additive_identity) = multiply(additive_identity,X_34) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(additive_identity,X_34))),bind(Y0,$fot(multiply(X_34,additive_identity)))]]) ).
cnf(refute_0_289,plain,
multiply(X_34,additive_identity) = multiply(additive_identity,X_34),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_34),multiply(X_34,additive_identity)) )],[refute_0_287,refute_0_288]) ).
cnf(refute_0_290,plain,
( multiply(X_34,additive_identity) != multiply(additive_identity,X_34)
| add(X_33,multiply(X_34,additive_identity)) != multiply(X_33,add(X_34,X_33))
| add(X_33,multiply(additive_identity,X_34)) = multiply(X_33,add(X_34,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_33,multiply(X_34,additive_identity)),multiply(X_33,add(X_34,X_33))) ),[0,1],$fot(multiply(additive_identity,X_34))]]) ).
cnf(refute_0_291,plain,
( add(X_33,multiply(X_34,additive_identity)) != multiply(X_33,add(X_34,X_33))
| add(X_33,multiply(additive_identity,X_34)) = multiply(X_33,add(X_34,X_33)) ),
inference(resolve,[$cnf( $equal(multiply(X_34,additive_identity),multiply(additive_identity,X_34)) )],[refute_0_289,refute_0_290]) ).
cnf(refute_0_292,plain,
add(X_33,multiply(additive_identity,X_34)) = multiply(X_33,add(X_34,X_33)),
inference(resolve,[$cnf( $equal(add(X_33,multiply(X_34,additive_identity)),multiply(X_33,add(X_34,X_33))) )],[refute_0_286,refute_0_291]) ).
cnf(refute_0_293,plain,
( add(X_33,multiply(additive_identity,X_34)) != multiply(X_33,add(X_34,X_33))
| multiply(X_33,add(X_34,X_33)) = add(X_33,multiply(additive_identity,X_34)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_33,multiply(additive_identity,X_34)))),bind(Y0,$fot(multiply(X_33,add(X_34,X_33))))]]) ).
cnf(refute_0_294,plain,
multiply(X_33,add(X_34,X_33)) = add(X_33,multiply(additive_identity,X_34)),
inference(resolve,[$cnf( $equal(add(X_33,multiply(additive_identity,X_34)),multiply(X_33,add(X_34,X_33))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(add(Y,X_36),multiply(additive_identity,Y)),
inference(subst,[],[refute_0_294:[bind(X_33,$fot(add(Y,X_36))),bind(X_34,$fot(Y))]]) ).
cnf(refute_0_296,plain,
( multiply(add(Y,X_36),add(Y,add(Y,X_36))) != add(add(Y,X_36),multiply(additive_identity,Y))
| add(add(Y,X_36),multiply(additive_identity,Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(Y,X_36),add(Y,add(Y,X_36))))),bind(Y0,$fot(add(add(Y,X_36),multiply(additive_identity,Y)))),bind(Z0,$fot(add(multiply(Y,additive_identity),add(Y,X_36))))]]) ).
cnf(refute_0_297,plain,
( add(add(Y,X_36),multiply(additive_identity,Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_36),add(Y,add(Y,X_36))),add(add(Y,X_36),multiply(additive_identity,Y))) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),multiply(additive_identity,Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_285,refute_0_297]) ).
cnf(refute_0_299,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_11,X_10)),
inference(subst,[],[refute_0_50:[bind(X_21,$fot(X_10)),bind(X_22,$fot(X_11))]]) ).
cnf(refute_0_300,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(X_10,add(X_10,X_11))
| add(X_10,multiply(X_11,additive_identity)) != multiply(X_10,add(X_11,X_10))
| multiply(X_10,add(X_11,X_10)) = multiply(X_10,add(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(X_10,add(X_10,X_11))) ),[0],$fot(multiply(X_10,add(X_11,X_10)))]]) ).
cnf(refute_0_301,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(X_10,add(X_10,X_11))
| multiply(X_10,add(X_11,X_10)) = multiply(X_10,add(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(X_10,add(X_11,X_10))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(X_10,add(X_11,X_10)) = multiply(X_10,add(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(X_10,add(X_10,X_11))) )],[refute_0_43,refute_0_301]) ).
cnf(refute_0_303,plain,
( multiply(X_10,add(X_11,X_10)) != multiply(X_10,add(X_10,X_11))
| multiply(X_10,add(X_10,X_11)) = multiply(X_10,add(X_11,X_10)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_10,add(X_11,X_10)))),bind(Y0,$fot(multiply(X_10,add(X_10,X_11))))]]) ).
cnf(refute_0_304,plain,
multiply(X_10,add(X_10,X_11)) = multiply(X_10,add(X_11,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_11,X_10)),multiply(X_10,add(X_10,X_11))) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
multiply(add(Y,X_36),add(add(Y,X_36),Y)) = multiply(add(Y,X_36),add(Y,add(Y,X_36))),
inference(subst,[],[refute_0_304:[bind(X_10,$fot(add(Y,X_36))),bind(X_11,$fot(Y))]]) ).
cnf(refute_0_306,plain,
( multiply(add(Y,X_36),add(Y,add(Y,X_36))) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(add(Y,X_36),Y)) != multiply(add(Y,X_36),add(Y,add(Y,X_36)))
| multiply(add(Y,X_36),add(add(Y,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(Y,X_36),add(add(Y,X_36),Y)))),bind(Y0,$fot(multiply(add(Y,X_36),add(Y,add(Y,X_36))))),bind(Z0,$fot(add(multiply(Y,additive_identity),add(Y,X_36))))]]) ).
cnf(refute_0_307,plain,
( multiply(add(Y,X_36),add(Y,add(Y,X_36))) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(add(Y,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_36),add(add(Y,X_36),Y)),multiply(add(Y,X_36),add(Y,add(Y,X_36)))) )],[refute_0_305,refute_0_306]) ).
cnf(refute_0_308,plain,
multiply(add(Y,X_36),add(add(Y,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_36),add(Y,add(Y,X_36))),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_298,refute_0_307]) ).
cnf(refute_0_309,plain,
( multiply(add(Y,X_36),add(add(Y,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),multiply(add(Y,X_36),add(add(Y,X_36),Y))) ),[1],$fot(add(multiply(Y,additive_identity),add(Y,X_36)))]]) ).
cnf(refute_0_310,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_36),add(add(Y,X_36),Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_308,refute_0_309]) ).
cnf(refute_0_311,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),multiply(add(Y,X_36),add(add(Y,X_36),Y))) )],[refute_0_273,refute_0_310]) ).
cnf(refute_0_312,plain,
add(add(Y,X_36),Y) = add(Y,add(Y,X_36)),
inference(subst,[],[refute_0_217:[bind(X,$fot(Y)),bind(Y,$fot(add(Y,X_36)))]]) ).
cnf(refute_0_313,plain,
add(additive_identity,Y) = Y,
inference(subst,[],[refute_0_17:[bind(X,$fot(Y))]]) ).
cnf(refute_0_314,plain,
multiply(additive_identity,X_36) = additive_identity,
inference(subst,[],[refute_0_258:[bind(X_41,$fot(X_36))]]) ).
cnf(refute_0_315,plain,
add(multiply(additive_identity,X_36),Y) = add(multiply(additive_identity,X_36),Y),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_36),Y))]]) ).
cnf(refute_0_316,plain,
( multiply(additive_identity,X_36) != additive_identity
| add(multiply(additive_identity,X_36),Y) != add(multiply(additive_identity,X_36),Y)
| add(multiply(additive_identity,X_36),Y) = add(additive_identity,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),add(multiply(additive_identity,X_36),Y)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_317,plain,
( multiply(additive_identity,X_36) != additive_identity
| add(multiply(additive_identity,X_36),Y) = add(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),add(multiply(additive_identity,X_36),Y)) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
add(multiply(additive_identity,X_36),Y) = add(additive_identity,Y),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_36),additive_identity) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( add(multiply(additive_identity,X_36),Y) != add(additive_identity,Y)
| add(additive_identity,Y) != Y
| add(multiply(additive_identity,X_36),Y) = Y ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(additive_identity,X_36),Y))),bind(Y0,$fot(add(additive_identity,Y))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_320,plain,
( add(additive_identity,Y) != Y
| add(multiply(additive_identity,X_36),Y) = Y ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),add(additive_identity,Y)) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
add(multiply(additive_identity,X_36),Y) = Y,
inference(resolve,[$cnf( $equal(add(additive_identity,Y),Y) )],[refute_0_313,refute_0_320]) ).
cnf(refute_0_322,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),
introduced(tautology,[refl,[$fot(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)))]]) ).
cnf(refute_0_323,plain,
( add(multiply(additive_identity,X_36),Y) != Y
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(add(Y,X_36),add(multiply(additive_identity,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(add(Y,X_36),add(multiply(additive_identity,X_36),Y))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_324,plain,
( add(multiply(additive_identity,X_36),Y) != Y
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),Y) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(add(Y,X_36),add(multiply(additive_identity,X_36),Y))) )],[refute_0_322,refute_0_323]) ).
cnf(refute_0_325,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),Y) )],[refute_0_321,refute_0_324]) ).
cnf(refute_0_326,plain,
( add(add(Y,X_36),Y) != add(Y,add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(add(Y,X_36),Y)
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(Y,add(Y,X_36)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)))),bind(Y0,$fot(add(add(Y,X_36),Y))),bind(Z0,$fot(add(Y,add(Y,X_36))))]]) ).
cnf(refute_0_327,plain,
( add(add(Y,X_36),Y) != add(Y,add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(Y,add(Y,X_36)) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(add(Y,X_36),Y)) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(Y,add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),Y),add(Y,add(Y,X_36))) )],[refute_0_312,refute_0_327]) ).
cnf(refute_0_329,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(Y,add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(multiply(Y,additive_identity),add(Y,X_36))) ),[0],$fot(add(Y,add(Y,X_36)))]]) ).
cnf(refute_0_330,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(Y,add(Y,X_36))) )],[refute_0_328,refute_0_329]) ).
cnf(refute_0_331,plain,
add(X,multiply(Y,add(X,Y))) = multiply(add(X,Y),add(X,add(X,Y))),
inference(subst,[],[distributivity1:[bind(Z,$fot(add(X,Y)))]]) ).
cnf(refute_0_332,plain,
add(add(X,Y),multiply(X,additive_identity)) = multiply(add(X,Y),add(X,add(X,Y))),
inference(subst,[],[refute_0_50:[bind(X_21,$fot(add(X,Y))),bind(X_22,$fot(X))]]) ).
cnf(refute_0_333,plain,
( add(add(X,Y),multiply(X,additive_identity)) != multiply(add(X,Y),add(X,add(X,Y)))
| multiply(add(X,Y),add(X,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(add(X,Y),multiply(X,additive_identity)))),bind(Y0,$fot(multiply(add(X,Y),add(X,add(X,Y)))))]]) ).
cnf(refute_0_334,plain,
multiply(add(X,Y),add(X,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)),
inference(resolve,[$cnf( $equal(add(add(X,Y),multiply(X,additive_identity)),multiply(add(X,Y),add(X,add(X,Y)))) )],[refute_0_332,refute_0_333]) ).
cnf(refute_0_335,plain,
( multiply(add(X,Y),add(X,add(X,Y))) != add(add(X,Y),multiply(X,additive_identity))
| add(X,multiply(Y,add(X,Y))) != multiply(add(X,Y),add(X,add(X,Y)))
| add(X,multiply(Y,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),multiply(add(X,Y),add(X,add(X,Y)))) ),[1],$fot(add(add(X,Y),multiply(X,additive_identity)))]]) ).
cnf(refute_0_336,plain,
( add(X,multiply(Y,add(X,Y))) != multiply(add(X,Y),add(X,add(X,Y)))
| add(X,multiply(Y,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,add(X,Y))),add(add(X,Y),multiply(X,additive_identity))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
add(X,multiply(Y,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),multiply(add(X,Y),add(X,add(X,Y)))) )],[refute_0_331,refute_0_336]) ).
cnf(refute_0_338,plain,
add(add(X,Y),multiply(X,additive_identity)) = add(multiply(X,additive_identity),add(X,Y)),
inference(subst,[],[refute_0_217:[bind(X,$fot(multiply(X,additive_identity))),bind(Y,$fot(add(X,Y)))]]) ).
cnf(refute_0_339,plain,
( add(X,multiply(Y,add(X,Y))) != add(add(X,Y),multiply(X,additive_identity))
| add(add(X,Y),multiply(X,additive_identity)) != add(multiply(X,additive_identity),add(X,Y))
| add(X,multiply(Y,add(X,Y))) = add(multiply(X,additive_identity),add(X,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(Y,add(X,Y))),add(multiply(X,additive_identity),add(X,Y))) ),[0],$fot(add(add(X,Y),multiply(X,additive_identity)))]]) ).
cnf(refute_0_340,plain,
( add(X,multiply(Y,add(X,Y))) != add(add(X,Y),multiply(X,additive_identity))
| add(X,multiply(Y,add(X,Y))) = add(multiply(X,additive_identity),add(X,Y)) ),
inference(resolve,[$cnf( $equal(add(add(X,Y),multiply(X,additive_identity)),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
add(X,multiply(Y,add(X,Y))) = add(multiply(X,additive_identity),add(X,Y)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(add(X,Y),multiply(X,additive_identity))) )],[refute_0_337,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(add(X_40,X_41))),bind(Y,$fot(X_40)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_343,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = multiply(add(X_40,X_41),add(X_40,X_41)),
inference(subst,[],[refute_0_95:[bind(Y,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_344,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != multiply(add(X_40,X_41),add(X_40,X_41))
| multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(additive_identity,additive_identity),add(X_40,X_41)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))),bind(Y0,$fot(multiply(add(X_40,X_41),add(X_40,X_41))))]]) ).
cnf(refute_0_345,plain,
multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(additive_identity,additive_identity),add(X_40,X_41)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),multiply(add(X_40,X_41),add(X_40,X_41))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( multiply(add(X_40,X_41),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| multiply(add(X_40,X_41),add(X_40,X_41)) != add(multiply(additive_identity,additive_identity),add(X_40,X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_40,X_41),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) ),[0],$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))]]) ).
cnf(refute_0_347,plain,
( multiply(add(X_40,X_41),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_40,X_41),add(X_40,X_41)),add(multiply(additive_identity,additive_identity),add(X_40,X_41))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),
inference(resolve,[$cnf( $equal(multiply(add(X_40,X_41),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) )],[refute_0_342,refute_0_347]) ).
cnf(refute_0_349,plain,
multiply(add(X_40,X_41),X_40) = multiply(X_40,add(X_40,X_41)),
inference(subst,[],[refute_0_39:[bind(X,$fot(X_40)),bind(Y,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_350,plain,
add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),
introduced(tautology,[refl,[$fot(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_351,plain,
( multiply(add(X_40,X_41),X_40) != multiply(X_40,add(X_40,X_41))
| add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) != add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))
| add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))) ),[1,0],$fot(multiply(X_40,add(X_40,X_41)))]]) ).
cnf(refute_0_352,plain,
( multiply(add(X_40,X_41),X_40) != multiply(X_40,add(X_40,X_41))
| add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(add(X_40,X_41),X_40),multiply(X_40,add(X_40,X_41))) )],[refute_0_349,refute_0_352]) ).
cnf(refute_0_354,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_10,X_12))),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_355,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_356,plain,
( add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_10,multiply(X_11,X_12)))),bind(Y0,$fot(multiply(add(X_10,X_11),add(X_10,X_12))))]]) ).
cnf(refute_0_357,plain,
multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
( multiply(add(X_10,X_11),add(X_10,X_12)) != add(X_10,multiply(X_11,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),multiply(add(X_10,X_11),add(X_10,X_12))) ),[1],$fot(add(X_10,multiply(X_11,X_12)))]]) ).
cnf(refute_0_359,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),add(X_10,X_12)),add(X_10,multiply(X_11,X_12))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_354,refute_0_359]) ).
cnf(refute_0_361,plain,
( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
| multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).
cnf(refute_0_362,plain,
multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity1,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_12,X_11)),
inference(subst,[],[refute_0_362:[bind(X,$fot(X_10)),bind(Y,$fot(X_12)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_364,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_11,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_12,X_11))
| add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_11,X_12))) ),[0],$fot(add(X_10,multiply(X_12,X_11)))]]) ).
cnf(refute_0_365,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_11,X_12))
| add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_12,X_11))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_11,X_12))) )],[refute_0_360,refute_0_365]) ).
cnf(refute_0_367,plain,
( add(X_10,multiply(X_12,X_11)) != add(X_10,multiply(X_11,X_12))
| add(X_10,multiply(X_11,X_12)) = add(X_10,multiply(X_12,X_11)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_10,multiply(X_12,X_11)))),bind(Y0,$fot(add(X_10,multiply(X_11,X_12))))]]) ).
cnf(refute_0_368,plain,
add(X_10,multiply(X_11,X_12)) = add(X_10,multiply(X_12,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_12,X_11)),add(X_10,multiply(X_11,X_12))) )],[refute_0_366,refute_0_367]) ).
cnf(refute_0_369,plain,
add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),
inference(subst,[],[refute_0_368:[bind(X_10,$fot(multiply(add(X_40,X_41),X_40))),bind(X_11,$fot(add(X_40,X_41))),bind(X_12,$fot(X_41))]]) ).
cnf(refute_0_370,plain,
( add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))
| add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)))),bind(Y0,$fot(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))))),bind(Z0,$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))))]]) ).
cnf(refute_0_371,plain,
( add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))) )],[refute_0_369,refute_0_370]) ).
cnf(refute_0_372,plain,
add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_353,refute_0_371]) ).
cnf(refute_0_373,plain,
( add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) ),[1],$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_374,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_372,refute_0_373]) ).
cnf(refute_0_375,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) )],[refute_0_348,refute_0_374]) ).
cnf(refute_0_376,plain,
add(additive_identity,add(X_40,X_41)) = add(X_40,X_41),
inference(subst,[],[refute_0_17:[bind(X,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_377,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(additive_identity,additive_identity),add(X_40,X_41)),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))]]) ).
cnf(refute_0_378,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(additive_identity,additive_identity),add(X_40,X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(additive_identity,add(X_40,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(additive_identity,additive_identity),add(X_40,X_41))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_379,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(additive_identity,add(X_40,X_41)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(additive_identity,additive_identity),add(X_40,X_41))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(additive_identity,add(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_259,refute_0_379]) ).
cnf(refute_0_381,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(additive_identity,add(X_40,X_41))
| add(additive_identity,add(X_40,X_41)) != add(X_40,X_41)
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(X_40,X_41) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))),bind(Y0,$fot(add(additive_identity,add(X_40,X_41)))),bind(Z0,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_382,plain,
( add(additive_identity,add(X_40,X_41)) != add(X_40,X_41)
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(X_40,X_41) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(additive_identity,add(X_40,X_41))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(X_40,X_41),
inference(resolve,[$cnf( $equal(add(additive_identity,add(X_40,X_41)),add(X_40,X_41)) )],[refute_0_376,refute_0_382]) ).
cnf(refute_0_384,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(X_40,X_41)
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) ),[0],$fot(add(X_40,X_41))]]) ).
cnf(refute_0_385,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(X_40,X_41)) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
multiply(X_40,add(X_40,X_41)) = X_40,
inference(subst,[],[refute_0_227:[bind(X_39,$fot(X_40)),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_387,plain,
add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
introduced(tautology,[refl,[$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_388,plain,
( multiply(X_40,add(X_40,X_41)) != X_40
| add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) ),[1,0],$fot(X_40)]]) ).
cnf(refute_0_389,plain,
( multiply(X_40,add(X_40,X_41)) != X_40
| add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(X_40,multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(X_40,add(X_40,X_41)),X_40) )],[refute_0_386,refute_0_389]) ).
cnf(refute_0_391,plain,
( add(X_40,X_41) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) != add(X_40,multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_40,X_41),add(X_40,multiply(X_41,add(X_40,X_41)))) ),[0],$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_392,plain,
( add(X_40,X_41) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),add(X_40,multiply(X_41,add(X_40,X_41)))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(X_40,X_41),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_385,refute_0_392]) ).
cnf(refute_0_394,plain,
add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_375,refute_0_393]) ).
cnf(refute_0_395,plain,
( add(X_40,X_41) != add(X_40,multiply(X_41,add(X_40,X_41)))
| add(X_40,multiply(X_41,add(X_40,X_41))) = add(X_40,X_41) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_40,X_41))),bind(Y0,$fot(add(X_40,multiply(X_41,add(X_40,X_41)))))]]) ).
cnf(refute_0_396,plain,
add(X_40,multiply(X_41,add(X_40,X_41))) = add(X_40,X_41),
inference(resolve,[$cnf( $equal(add(X_40,X_41),add(X_40,multiply(X_41,add(X_40,X_41)))) )],[refute_0_394,refute_0_395]) ).
cnf(refute_0_397,plain,
add(X,multiply(Y,add(X,Y))) = add(X,Y),
inference(subst,[],[refute_0_396:[bind(X_40,$fot(X)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_398,plain,
( add(X,multiply(Y,add(X,Y))) != add(X,Y)
| add(X,multiply(Y,add(X,Y))) != add(multiply(X,additive_identity),add(X,Y))
| add(X,Y) = add(multiply(X,additive_identity),add(X,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(multiply(X,additive_identity),add(X,Y))) ),[0],$fot(add(X,Y))]]) ).
cnf(refute_0_399,plain,
( add(X,multiply(Y,add(X,Y))) != add(multiply(X,additive_identity),add(X,Y))
| add(X,Y) = add(multiply(X,additive_identity),add(X,Y)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(X,Y)) )],[refute_0_397,refute_0_398]) ).
cnf(refute_0_400,plain,
add(X,Y) = add(multiply(X,additive_identity),add(X,Y)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_341,refute_0_399]) ).
cnf(refute_0_401,plain,
( add(X,Y) != add(multiply(X,additive_identity),add(X,Y))
| add(multiply(X,additive_identity),add(X,Y)) = add(X,Y) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(multiply(X,additive_identity),add(X,Y))))]]) ).
cnf(refute_0_402,plain,
add(multiply(X,additive_identity),add(X,Y)) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
add(multiply(Y,additive_identity),add(Y,X_36)) = add(Y,X_36),
inference(subst,[],[refute_0_402:[bind(X,$fot(Y)),bind(Y,$fot(X_36))]]) ).
cnf(refute_0_404,plain,
( add(Y,add(Y,X_36)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(multiply(Y,additive_identity),add(Y,X_36)) != add(Y,X_36)
| add(Y,add(Y,X_36)) = add(Y,X_36) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,add(Y,X_36)),add(Y,X_36)) ),[0],$fot(add(multiply(Y,additive_identity),add(Y,X_36)))]]) ).
cnf(refute_0_405,plain,
( add(Y,add(Y,X_36)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(Y,X_36) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,additive_identity),add(Y,X_36)),add(Y,X_36)) )],[refute_0_403,refute_0_404]) ).
cnf(refute_0_406,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(Y,X_36) ),
inference(resolve,[$cnf( $equal(add(Y,add(Y,X_36)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_330,refute_0_405]) ).
cnf(refute_0_407,plain,
add(Y,add(Y,X_36)) = add(Y,X_36),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_311,refute_0_406]) ).
cnf(refute_0_408,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = add(X_28,multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_407:[bind(Y,$fot(X_28)),bind(X_36,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_409,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != X_28
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = X_28 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(X_28,add(X_28,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(X_28,multiply(additive_identity,additive_identity)))),bind(Z0,$fot(X_28))]]) ).
cnf(refute_0_410,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != X_28
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = X_28 ),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = X_28,
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),X_28) )],[refute_0_266,refute_0_410]) ).
cnf(refute_0_412,plain,
( add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != X_28
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,X_28)
| X_28 = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,X_28)) ),[0],$fot(X_28)]]) ).
cnf(refute_0_413,plain,
( add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,X_28)
| X_28 = multiply(X_28,X_28) ),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),X_28) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
X_28 = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,X_28)) )],[refute_0_175,refute_0_413]) ).
cnf(refute_0_415,plain,
( X_28 != multiply(X_28,X_28)
| multiply(X_28,X_28) = X_28 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_28)),bind(Y0,$fot(multiply(X_28,X_28)))]]) ).
cnf(refute_0_416,plain,
multiply(X_28,X_28) = X_28,
inference(resolve,[$cnf( $equal(X_28,multiply(X_28,X_28)) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(X_11,additive_identity),
inference(subst,[],[refute_0_416:[bind(X_28,$fot(multiply(X_11,additive_identity)))]]) ).
cnf(refute_0_418,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(X_11,additive_identity)
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,X_11)) ),[0],$fot(multiply(X_11,additive_identity))]]) ).
cnf(refute_0_419,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(X_11,additive_identity)) )],[refute_0_417,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(additive_identity,X_11) = additive_identity,
inference(subst,[],[refute_0_258:[bind(X_41,$fot(X_11))]]) ).
cnf(refute_0_421,plain,
( multiply(X_11,additive_identity) != multiply(additive_identity,X_11)
| multiply(additive_identity,X_11) != additive_identity
| multiply(X_11,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,additive_identity),additive_identity) ),[0],$fot(multiply(additive_identity,X_11))]]) ).
cnf(refute_0_422,plain,
( multiply(X_11,additive_identity) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),additive_identity) )],[refute_0_420,refute_0_421]) ).
cnf(refute_0_423,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_11,additive_identity),multiply(additive_identity,X_11)) )],[refute_0_419,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(X_11,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_130,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(X_34,additive_identity) = additive_identity,
inference(subst,[],[refute_0_424:[bind(X_11,$fot(X_34))]]) ).
cnf(refute_0_426,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)))]]) ).
cnf(refute_0_427,plain,
( multiply(X_34,additive_identity) != additive_identity
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != add(inverse(inverse(X_34)),multiply(X_34,additive_identity))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),add(inverse(inverse(X_34)),multiply(X_34,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_428,plain,
( multiply(X_34,additive_identity) != additive_identity
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),additive_identity) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),add(inverse(inverse(X_34)),multiply(X_34,additive_identity))) )],[refute_0_426,refute_0_427]) ).
cnf(refute_0_429,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_34,additive_identity),additive_identity) )],[refute_0_425,refute_0_428]) ).
cnf(refute_0_430,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != add(inverse(inverse(X_34)),additive_identity)
| add(inverse(inverse(X_34)),additive_identity) != inverse(inverse(X_34))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = inverse(inverse(X_34)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)))),bind(Y0,$fot(add(inverse(inverse(X_34)),additive_identity))),bind(Z0,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_431,plain,
( add(inverse(inverse(X_34)),additive_identity) != inverse(inverse(X_34))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = inverse(inverse(X_34)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),add(inverse(inverse(X_34)),additive_identity)) )],[refute_0_429,refute_0_430]) ).
cnf(refute_0_432,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = inverse(inverse(X_34)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),additive_identity),inverse(inverse(X_34))) )],[refute_0_84,refute_0_431]) ).
cnf(refute_0_433,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(X_34,inverse(inverse(X_34)))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != inverse(inverse(X_34))
| inverse(inverse(X_34)) = multiply(X_34,inverse(inverse(X_34))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(X_34,inverse(inverse(X_34)))) ),[0],$fot(inverse(inverse(X_34)))]]) ).
cnf(refute_0_434,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(X_34,inverse(inverse(X_34)))
| inverse(inverse(X_34)) = multiply(X_34,inverse(inverse(X_34))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),inverse(inverse(X_34))) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
inverse(inverse(X_34)) = multiply(X_34,inverse(inverse(X_34))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_83,refute_0_434]) ).
cnf(refute_0_436,plain,
( inverse(inverse(X_34)) != multiply(X_34,inverse(inverse(X_34)))
| multiply(X_34,inverse(inverse(X_34))) = inverse(inverse(X_34)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(inverse(X_34)))),bind(Y0,$fot(multiply(X_34,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_437,plain,
multiply(X_34,inverse(inverse(X_34))) = inverse(inverse(X_34)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_34)),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
multiply(X_47,inverse(inverse(X_47))) = inverse(inverse(X_47)),
inference(subst,[],[refute_0_437:[bind(X_34,$fot(X_47))]]) ).
cnf(refute_0_439,plain,
( X_47 != multiply(X_47,inverse(inverse(X_47)))
| multiply(X_47,inverse(inverse(X_47))) != inverse(inverse(X_47))
| X_47 = inverse(inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_47,inverse(inverse(X_47))) ),[0],$fot(multiply(X_47,inverse(inverse(X_47))))]]) ).
cnf(refute_0_440,plain,
( X_47 != multiply(X_47,inverse(inverse(X_47)))
| X_47 = inverse(inverse(X_47)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,inverse(inverse(X_47))),inverse(inverse(X_47))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
( multiply(X_47,multiplicative_identity) != multiply(X_47,inverse(inverse(X_47)))
| X_47 = inverse(inverse(X_47)) ),
inference(resolve,[$cnf( $equal(X_47,multiply(X_47,inverse(inverse(X_47)))) )],[refute_0_29,refute_0_440]) ).
cnf(refute_0_442,plain,
X_47 = inverse(inverse(X_47)),
inference(resolve,[$cnf( $equal(multiply(X_47,multiplicative_identity),multiply(X_47,inverse(inverse(X_47)))) )],[refute_0_26,refute_0_441]) ).
cnf(refute_0_443,plain,
( X_47 != inverse(inverse(X_47))
| inverse(inverse(X_47)) = X_47 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_47)),bind(Y0,$fot(inverse(inverse(X_47))))]]) ).
cnf(refute_0_444,plain,
inverse(inverse(X_47)) = X_47,
inference(resolve,[$cnf( $equal(X_47,inverse(inverse(X_47))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
( multiply(inverse(X_47),add(X_98,inverse(inverse(X_47)))) != multiply(inverse(X_47),X_98)
| inverse(inverse(X_47)) != X_47
| multiply(inverse(X_47),add(X_98,X_47)) = multiply(inverse(X_47),X_98) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_47),add(X_98,inverse(inverse(X_47)))),multiply(inverse(X_47),X_98)) ),[0,1,1],$fot(X_47)]]) ).
cnf(refute_0_446,plain,
( multiply(inverse(X_47),add(X_98,inverse(inverse(X_47)))) != multiply(inverse(X_47),X_98)
| multiply(inverse(X_47),add(X_98,X_47)) = multiply(inverse(X_47),X_98) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
multiply(inverse(X_47),add(X_98,X_47)) = multiply(inverse(X_47),X_98),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(X_98,inverse(inverse(X_47)))),multiply(inverse(X_47),X_98)) )],[refute_0_9,refute_0_446]) ).
cnf(refute_0_448,plain,
multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),multiply(X_11,X_49))) = multiply(inverse(multiply(X_11,X_49)),inverse(X_49)),
inference(subst,[],[refute_0_447:[bind(X_47,$fot(multiply(X_11,X_49))),bind(X_98,$fot(inverse(X_49)))]]) ).
cnf(refute_0_449,plain,
add(inverse(X_49),multiply(X_11,inverse(inverse(X_49)))) = add(inverse(X_49),X_11),
inference(subst,[],[refute_0_139:[bind(X_10,$fot(inverse(X_49)))]]) ).
cnf(refute_0_450,plain,
X_49 = inverse(inverse(X_49)),
inference(subst,[],[refute_0_442:[bind(X_47,$fot(X_49))]]) ).
cnf(refute_0_451,plain,
( X_49 != inverse(inverse(X_49))
| inverse(inverse(X_49)) = X_49 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_49)),bind(Y0,$fot(inverse(inverse(X_49))))]]) ).
cnf(refute_0_452,plain,
inverse(inverse(X_49)) = X_49,
inference(resolve,[$cnf( $equal(X_49,inverse(inverse(X_49))) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
( add(inverse(X_49),multiply(X_11,inverse(inverse(X_49)))) != add(inverse(X_49),X_11)
| inverse(inverse(X_49)) != X_49
| add(inverse(X_49),multiply(X_11,X_49)) = add(inverse(X_49),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_49),multiply(X_11,inverse(inverse(X_49)))),add(inverse(X_49),X_11)) ),[0,1,1],$fot(X_49)]]) ).
cnf(refute_0_454,plain,
( add(inverse(X_49),multiply(X_11,inverse(inverse(X_49)))) != add(inverse(X_49),X_11)
| add(inverse(X_49),multiply(X_11,X_49)) = add(inverse(X_49),X_11) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_49)),X_49) )],[refute_0_452,refute_0_453]) ).
cnf(refute_0_455,plain,
add(inverse(X_49),multiply(X_11,X_49)) = add(inverse(X_49),X_11),
inference(resolve,[$cnf( $equal(add(inverse(X_49),multiply(X_11,inverse(inverse(X_49)))),add(inverse(X_49),X_11)) )],[refute_0_449,refute_0_454]) ).
cnf(refute_0_456,plain,
( multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),multiply(X_11,X_49))) != multiply(inverse(multiply(X_11,X_49)),inverse(X_49))
| add(inverse(X_49),multiply(X_11,X_49)) != add(inverse(X_49),X_11)
| multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),multiply(X_11,X_49))),multiply(inverse(multiply(X_11,X_49)),inverse(X_49))) ),[0,1],$fot(add(inverse(X_49),X_11))]]) ).
cnf(refute_0_457,plain,
( multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),multiply(X_11,X_49))) != multiply(inverse(multiply(X_11,X_49)),inverse(X_49))
| multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_49),multiply(X_11,X_49)),add(inverse(X_49),X_11)) )],[refute_0_455,refute_0_456]) ).
cnf(refute_0_458,plain,
multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = multiply(inverse(multiply(X_11,X_49)),inverse(X_49)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),multiply(X_11,X_49))),multiply(inverse(multiply(X_11,X_49)),inverse(X_49))) )],[refute_0_448,refute_0_457]) ).
cnf(refute_0_459,plain,
multiply(X_39,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))) = multiply(X_39,inverse(multiply(inverse(X_39),X_80))),
inference(subst,[],[refute_0_21:[bind(X_41,$fot(inverse(multiply(inverse(X_39),X_80))))]]) ).
cnf(refute_0_460,plain,
multiply(Z,add(Z,Y)) = Z,
inference(subst,[],[refute_0_227:[bind(X_39,$fot(Z)),bind(X_40,$fot(Y))]]) ).
cnf(refute_0_461,plain,
( multiply(Z,add(Z,Y)) != Z
| add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) ),[1],$fot(Z)]]) ).
cnf(refute_0_462,plain,
( add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,Y)),Z) )],[refute_0_460,refute_0_461]) ).
cnf(refute_0_463,plain,
add(Z,multiply(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) )],[refute_0_158,refute_0_462]) ).
cnf(refute_0_464,plain,
add(add(inverse(X_50),X_41),multiply(X_50,add(inverse(X_50),X_41))) = add(inverse(X_50),X_41),
inference(subst,[],[refute_0_463:[bind(Y,$fot(X_50)),bind(Z,$fot(add(inverse(X_50),X_41)))]]) ).
cnf(refute_0_465,plain,
multiply(X_50,add(inverse(X_50),X_41)) = multiply(X_50,X_41),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(X_50))]]) ).
cnf(refute_0_466,plain,
( multiply(X_50,add(inverse(X_50),X_41)) != multiply(X_50,X_41)
| add(add(inverse(X_50),X_41),multiply(X_50,add(inverse(X_50),X_41))) != add(inverse(X_50),X_41)
| add(add(inverse(X_50),X_41),multiply(X_50,X_41)) = add(inverse(X_50),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_50),X_41),multiply(X_50,add(inverse(X_50),X_41))),add(inverse(X_50),X_41)) ),[0,1],$fot(multiply(X_50,X_41))]]) ).
cnf(refute_0_467,plain,
( add(add(inverse(X_50),X_41),multiply(X_50,add(inverse(X_50),X_41))) != add(inverse(X_50),X_41)
| add(add(inverse(X_50),X_41),multiply(X_50,X_41)) = add(inverse(X_50),X_41) ),
inference(resolve,[$cnf( $equal(multiply(X_50,add(inverse(X_50),X_41)),multiply(X_50,X_41)) )],[refute_0_465,refute_0_466]) ).
cnf(refute_0_468,plain,
add(add(inverse(X_50),X_41),multiply(X_50,X_41)) = add(inverse(X_50),X_41),
inference(resolve,[$cnf( $equal(add(add(inverse(X_50),X_41),multiply(X_50,add(inverse(X_50),X_41))),add(inverse(X_50),X_41)) )],[refute_0_464,refute_0_467]) ).
cnf(refute_0_469,plain,
add(add(inverse(X_50),X_41),multiply(X_50,X_41)) = add(multiply(X_50,X_41),add(inverse(X_50),X_41)),
inference(subst,[],[refute_0_217:[bind(X,$fot(multiply(X_50,X_41))),bind(Y,$fot(add(inverse(X_50),X_41)))]]) ).
cnf(refute_0_470,plain,
( add(add(inverse(X_50),X_41),multiply(X_50,X_41)) != add(multiply(X_50,X_41),add(inverse(X_50),X_41))
| add(add(inverse(X_50),X_41),multiply(X_50,X_41)) != add(inverse(X_50),X_41)
| add(multiply(X_50,X_41),add(inverse(X_50),X_41)) = add(inverse(X_50),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(X_50),X_41),multiply(X_50,X_41)),add(inverse(X_50),X_41)) ),[0],$fot(add(multiply(X_50,X_41),add(inverse(X_50),X_41)))]]) ).
cnf(refute_0_471,plain,
( add(add(inverse(X_50),X_41),multiply(X_50,X_41)) != add(inverse(X_50),X_41)
| add(multiply(X_50,X_41),add(inverse(X_50),X_41)) = add(inverse(X_50),X_41) ),
inference(resolve,[$cnf( $equal(add(add(inverse(X_50),X_41),multiply(X_50,X_41)),add(multiply(X_50,X_41),add(inverse(X_50),X_41))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
add(multiply(X_50,X_41),add(inverse(X_50),X_41)) = add(inverse(X_50),X_41),
inference(resolve,[$cnf( $equal(add(add(inverse(X_50),X_41),multiply(X_50,X_41)),add(inverse(X_50),X_41)) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
add(multiply(X_55,add(X_22,X_55)),add(inverse(X_55),add(X_22,X_55))) = add(inverse(X_55),add(X_22,X_55)),
inference(subst,[],[refute_0_472:[bind(X_41,$fot(add(X_22,X_55))),bind(X_50,$fot(X_55))]]) ).
cnf(refute_0_474,plain,
multiply(X_22,additive_identity) = additive_identity,
inference(subst,[],[refute_0_424:[bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_475,plain,
add(X_21,multiply(X_22,additive_identity)) = add(X_21,multiply(X_22,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_21,multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_476,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(X_21,multiply(X_22,additive_identity)) != add(X_21,multiply(X_22,additive_identity))
| add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),add(X_21,multiply(X_22,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_477,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),add(X_21,multiply(X_22,additive_identity))) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_22,additive_identity),additive_identity) )],[refute_0_474,refute_0_477]) ).
cnf(refute_0_479,plain,
( add(X_21,multiply(X_22,additive_identity)) != add(X_21,additive_identity)
| add(X_21,additive_identity) != X_21
| add(X_21,multiply(X_22,additive_identity)) = X_21 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(X_21,multiply(X_22,additive_identity)))),bind(Y0,$fot(add(X_21,additive_identity))),bind(Z0,$fot(X_21))]]) ).
cnf(refute_0_480,plain,
( add(X_21,additive_identity) != X_21
| add(X_21,multiply(X_22,additive_identity)) = X_21 ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),add(X_21,additive_identity)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
add(X_21,multiply(X_22,additive_identity)) = X_21,
inference(resolve,[$cnf( $equal(add(X_21,additive_identity),X_21) )],[refute_0_88,refute_0_480]) ).
cnf(refute_0_482,plain,
( add(X_21,multiply(X_22,additive_identity)) != X_21
| add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_22,X_21))
| X_21 = multiply(X_21,add(X_22,X_21)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_22,X_21))) ),[0],$fot(X_21)]]) ).
cnf(refute_0_483,plain,
( add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_22,X_21))
| X_21 = multiply(X_21,add(X_22,X_21)) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),X_21) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
X_21 = multiply(X_21,add(X_22,X_21)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_22,X_21))) )],[refute_0_50,refute_0_483]) ).
cnf(refute_0_485,plain,
X_55 = multiply(X_55,add(X_22,X_55)),
inference(subst,[],[refute_0_484:[bind(X_21,$fot(X_55))]]) ).
cnf(refute_0_486,plain,
( X_55 != multiply(X_55,add(X_22,X_55))
| multiply(X_55,add(X_22,X_55)) = X_55 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_55)),bind(Y0,$fot(multiply(X_55,add(X_22,X_55))))]]) ).
cnf(refute_0_487,plain,
multiply(X_55,add(X_22,X_55)) = X_55,
inference(resolve,[$cnf( $equal(X_55,multiply(X_55,add(X_22,X_55))) )],[refute_0_485,refute_0_486]) ).
cnf(refute_0_488,plain,
( multiply(X_55,add(X_22,X_55)) != X_55
| add(multiply(X_55,add(X_22,X_55)),add(inverse(X_55),add(X_22,X_55))) != add(inverse(X_55),add(X_22,X_55))
| add(X_55,add(inverse(X_55),add(X_22,X_55))) = add(inverse(X_55),add(X_22,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,add(X_22,X_55)),add(inverse(X_55),add(X_22,X_55))),add(inverse(X_55),add(X_22,X_55))) ),[0,0],$fot(X_55)]]) ).
cnf(refute_0_489,plain,
( add(multiply(X_55,add(X_22,X_55)),add(inverse(X_55),add(X_22,X_55))) != add(inverse(X_55),add(X_22,X_55))
| add(X_55,add(inverse(X_55),add(X_22,X_55))) = add(inverse(X_55),add(X_22,X_55)) ),
inference(resolve,[$cnf( $equal(multiply(X_55,add(X_22,X_55)),X_55) )],[refute_0_487,refute_0_488]) ).
cnf(refute_0_490,plain,
add(X_55,add(inverse(X_55),add(X_22,X_55))) = add(inverse(X_55),add(X_22,X_55)),
inference(resolve,[$cnf( $equal(add(multiply(X_55,add(X_22,X_55)),add(inverse(X_55),add(X_22,X_55))),add(inverse(X_55),add(X_22,X_55))) )],[refute_0_473,refute_0_489]) ).
cnf(refute_0_491,plain,
add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))) = add(X_10,add(inverse(X_10),X_22)),
inference(subst,[],[refute_0_64:[bind(X_12,$fot(add(inverse(X_10),X_22)))]]) ).
cnf(refute_0_492,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = multiply(inverse(X_10),add(inverse(X_10),X_22)),
inference(subst,[],[refute_0_43:[bind(X_10,$fot(inverse(X_10))),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_493,plain,
( add(inverse(X_10),multiply(X_22,additive_identity)) != multiply(inverse(X_10),add(inverse(X_10),X_22))
| multiply(inverse(X_10),add(inverse(X_10),X_22)) = add(inverse(X_10),multiply(X_22,additive_identity)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(inverse(X_10),multiply(X_22,additive_identity)))),bind(Y0,$fot(multiply(inverse(X_10),add(inverse(X_10),X_22))))]]) ).
cnf(refute_0_494,plain,
multiply(inverse(X_10),add(inverse(X_10),X_22)) = add(inverse(X_10),multiply(X_22,additive_identity)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),multiply(inverse(X_10),add(inverse(X_10),X_22))) )],[refute_0_492,refute_0_493]) ).
cnf(refute_0_495,plain,
( multiply(inverse(X_10),add(inverse(X_10),X_22)) != add(inverse(X_10),multiply(X_22,additive_identity))
| add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))) != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))),add(X_10,add(inverse(X_10),X_22))) ),[0,1],$fot(add(inverse(X_10),multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_496,plain,
( add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))) != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),X_22)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),add(inverse(X_10),X_22)),add(inverse(X_10),multiply(X_22,additive_identity))) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),X_22)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))),add(X_10,add(inverse(X_10),X_22))) )],[refute_0_491,refute_0_496]) ).
cnf(refute_0_498,plain,
add(inverse(X_10),additive_identity) = inverse(X_10),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_499,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),multiply(X_22,additive_identity)),
introduced(tautology,[refl,[$fot(add(inverse(X_10),multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_500,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(inverse(X_10),multiply(X_22,additive_identity)) != add(inverse(X_10),multiply(X_22,additive_identity))
| add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),add(inverse(X_10),multiply(X_22,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_501,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),additive_identity) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),add(inverse(X_10),multiply(X_22,additive_identity))) )],[refute_0_499,refute_0_500]) ).
cnf(refute_0_502,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_22,additive_identity),additive_identity) )],[refute_0_474,refute_0_501]) ).
cnf(refute_0_503,plain,
( add(inverse(X_10),multiply(X_22,additive_identity)) != add(inverse(X_10),additive_identity)
| add(inverse(X_10),additive_identity) != inverse(X_10)
| add(inverse(X_10),multiply(X_22,additive_identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(inverse(X_10),multiply(X_22,additive_identity)))),bind(Y0,$fot(add(inverse(X_10),additive_identity))),bind(Z0,$fot(inverse(X_10)))]]) ).
cnf(refute_0_504,plain,
( add(inverse(X_10),additive_identity) != inverse(X_10)
| add(inverse(X_10),multiply(X_22,additive_identity)) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),add(inverse(X_10),additive_identity)) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),inverse(X_10)) )],[refute_0_498,refute_0_504]) ).
cnf(refute_0_506,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),
introduced(tautology,[refl,[$fot(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))))]]) ).
cnf(refute_0_507,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,add(inverse(X_10),multiply(X_22,additive_identity)))
| add(inverse(X_10),multiply(X_22,additive_identity)) != inverse(X_10)
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),multiply(X_22,additive_identity)))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_508,plain,
( add(inverse(X_10),multiply(X_22,additive_identity)) != inverse(X_10)
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),multiply(X_22,additive_identity)))) )],[refute_0_506,refute_0_507]) ).
cnf(refute_0_509,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),inverse(X_10)) )],[refute_0_505,refute_0_508]) ).
cnf(refute_0_510,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,inverse(X_10))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = multiplicative_identity ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))))),bind(Y0,$fot(add(X_10,inverse(X_10)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_511,plain,
( add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,inverse(X_10))) )],[refute_0_509,refute_0_510]) ).
cnf(refute_0_512,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_53,refute_0_511]) ).
cnf(refute_0_513,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != multiplicative_identity
| multiplicative_identity = add(X_10,add(inverse(X_10),X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),X_22))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_514,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,add(inverse(X_10),X_22))
| multiplicative_identity = add(X_10,add(inverse(X_10),X_22)) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),multiplicative_identity) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
multiplicative_identity = add(X_10,add(inverse(X_10),X_22)),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),X_22))) )],[refute_0_497,refute_0_514]) ).
cnf(refute_0_516,plain,
( multiplicative_identity != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),X_22)) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,add(inverse(X_10),X_22))))]]) ).
cnf(refute_0_517,plain,
add(X_10,add(inverse(X_10),X_22)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,add(inverse(X_10),X_22))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
add(X_55,add(inverse(X_55),add(X_22,X_55))) = multiplicative_identity,
inference(subst,[],[refute_0_517:[bind(X_10,$fot(X_55)),bind(X_22,$fot(add(X_22,X_55)))]]) ).
cnf(refute_0_519,plain,
( add(X_55,add(inverse(X_55),add(X_22,X_55))) != add(inverse(X_55),add(X_22,X_55))
| add(X_55,add(inverse(X_55),add(X_22,X_55))) != multiplicative_identity
| multiplicative_identity = add(inverse(X_55),add(X_22,X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_55,add(inverse(X_55),add(X_22,X_55))),add(inverse(X_55),add(X_22,X_55))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_520,plain,
( add(X_55,add(inverse(X_55),add(X_22,X_55))) != add(inverse(X_55),add(X_22,X_55))
| multiplicative_identity = add(inverse(X_55),add(X_22,X_55)) ),
inference(resolve,[$cnf( $equal(add(X_55,add(inverse(X_55),add(X_22,X_55))),multiplicative_identity) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiplicative_identity = add(inverse(X_55),add(X_22,X_55)),
inference(resolve,[$cnf( $equal(add(X_55,add(inverse(X_55),add(X_22,X_55))),add(inverse(X_55),add(X_22,X_55))) )],[refute_0_490,refute_0_520]) ).
cnf(refute_0_522,plain,
multiplicative_identity = add(inverse(multiply(X_22,X_72)),add(X_22,multiply(X_22,X_72))),
inference(subst,[],[refute_0_521:[bind(X_55,$fot(multiply(X_22,X_72)))]]) ).
cnf(refute_0_523,plain,
multiply(Y,add(Y,Z)) = Y,
inference(subst,[],[refute_0_227:[bind(X_39,$fot(Y)),bind(X_40,$fot(Z))]]) ).
cnf(refute_0_524,plain,
( multiply(Y,add(Y,Z)) != Y
| add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) ),[1],$fot(Y)]]) ).
cnf(refute_0_525,plain,
( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
add(Y,multiply(Y,Z)) = Y,
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_214,refute_0_525]) ).
cnf(refute_0_527,plain,
add(X_22,multiply(X_22,X_72)) = X_22,
inference(subst,[],[refute_0_526:[bind(Y,$fot(X_22)),bind(Z,$fot(X_72))]]) ).
cnf(refute_0_528,plain,
( add(X_22,multiply(X_22,X_72)) != X_22
| multiplicative_identity != add(inverse(multiply(X_22,X_72)),add(X_22,multiply(X_22,X_72)))
| multiplicative_identity = add(inverse(multiply(X_22,X_72)),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_22,X_72)),add(X_22,multiply(X_22,X_72)))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_529,plain,
( multiplicative_identity != add(inverse(multiply(X_22,X_72)),add(X_22,multiply(X_22,X_72)))
| multiplicative_identity = add(inverse(multiply(X_22,X_72)),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_22,X_72)),X_22) )],[refute_0_527,refute_0_528]) ).
cnf(refute_0_530,plain,
multiplicative_identity = add(inverse(multiply(X_22,X_72)),X_22),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_22,X_72)),add(X_22,multiply(X_22,X_72)))) )],[refute_0_522,refute_0_529]) ).
cnf(refute_0_531,plain,
add(inverse(multiply(X_22,X_72)),X_22) = add(X_22,inverse(multiply(X_22,X_72))),
inference(subst,[],[refute_0_217:[bind(X,$fot(X_22)),bind(Y,$fot(inverse(multiply(X_22,X_72))))]]) ).
cnf(refute_0_532,plain,
( add(inverse(multiply(X_22,X_72)),X_22) != add(X_22,inverse(multiply(X_22,X_72)))
| multiplicative_identity != add(inverse(multiply(X_22,X_72)),X_22)
| multiplicative_identity = add(X_22,inverse(multiply(X_22,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_22,X_72)),X_22)) ),[1],$fot(add(X_22,inverse(multiply(X_22,X_72))))]]) ).
cnf(refute_0_533,plain,
( multiplicative_identity != add(inverse(multiply(X_22,X_72)),X_22)
| multiplicative_identity = add(X_22,inverse(multiply(X_22,X_72))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_22,X_72)),X_22),add(X_22,inverse(multiply(X_22,X_72)))) )],[refute_0_531,refute_0_532]) ).
cnf(refute_0_534,plain,
multiplicative_identity = add(X_22,inverse(multiply(X_22,X_72))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_22,X_72)),X_22)) )],[refute_0_530,refute_0_533]) ).
cnf(refute_0_535,plain,
multiplicative_identity = add(inverse(X_39),inverse(multiply(inverse(X_39),X_80))),
inference(subst,[],[refute_0_534:[bind(X_22,$fot(inverse(X_39))),bind(X_72,$fot(X_80))]]) ).
cnf(refute_0_536,plain,
( multiplicative_identity != add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))
| add(inverse(X_39),inverse(multiply(inverse(X_39),X_80))) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))))]]) ).
cnf(refute_0_537,plain,
add(inverse(X_39),inverse(multiply(inverse(X_39),X_80))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
( multiply(X_39,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))) != multiply(X_39,inverse(multiply(inverse(X_39),X_80)))
| add(inverse(X_39),inverse(multiply(inverse(X_39),X_80))) != multiplicative_identity
| multiply(X_39,multiplicative_identity) = multiply(X_39,inverse(multiply(inverse(X_39),X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))),multiply(X_39,inverse(multiply(inverse(X_39),X_80)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_539,plain,
( multiply(X_39,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))) != multiply(X_39,inverse(multiply(inverse(X_39),X_80)))
| multiply(X_39,multiplicative_identity) = multiply(X_39,inverse(multiply(inverse(X_39),X_80))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_39),inverse(multiply(inverse(X_39),X_80))),multiplicative_identity) )],[refute_0_537,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(X_39,multiplicative_identity) = multiply(X_39,inverse(multiply(inverse(X_39),X_80))),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),inverse(multiply(inverse(X_39),X_80)))),multiply(X_39,inverse(multiply(inverse(X_39),X_80)))) )],[refute_0_459,refute_0_539]) ).
cnf(refute_0_541,plain,
( multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,multiplicative_identity) != multiply(X_39,inverse(multiply(inverse(X_39),X_80)))
| X_39 = multiply(X_39,inverse(multiply(inverse(X_39),X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiplicative_identity),multiply(X_39,inverse(multiply(inverse(X_39),X_80)))) ),[0],$fot(X_39)]]) ).
cnf(refute_0_542,plain,
( multiply(X_39,multiplicative_identity) != multiply(X_39,inverse(multiply(inverse(X_39),X_80)))
| X_39 = multiply(X_39,inverse(multiply(inverse(X_39),X_80))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiplicative_identity),X_39) )],[refute_0_183,refute_0_541]) ).
cnf(refute_0_543,plain,
X_39 = multiply(X_39,inverse(multiply(inverse(X_39),X_80))),
inference(resolve,[$cnf( $equal(multiply(X_39,multiplicative_identity),multiply(X_39,inverse(multiply(inverse(X_39),X_80)))) )],[refute_0_540,refute_0_542]) ).
cnf(refute_0_544,plain,
inverse(X_47) = multiply(inverse(X_47),inverse(multiply(inverse(inverse(X_47)),X_82))),
inference(subst,[],[refute_0_543:[bind(X_39,$fot(inverse(X_47))),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_545,plain,
( inverse(X_47) != multiply(inverse(X_47),inverse(multiply(inverse(inverse(X_47)),X_82)))
| inverse(inverse(X_47)) != X_47
| inverse(X_47) = multiply(inverse(X_47),inverse(multiply(X_47,X_82))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_47),multiply(inverse(X_47),inverse(multiply(inverse(inverse(X_47)),X_82)))) ),[1,1,0,0],$fot(X_47)]]) ).
cnf(refute_0_546,plain,
( inverse(X_47) != multiply(inverse(X_47),inverse(multiply(inverse(inverse(X_47)),X_82)))
| inverse(X_47) = multiply(inverse(X_47),inverse(multiply(X_47,X_82))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_444,refute_0_545]) ).
cnf(refute_0_547,plain,
inverse(X_47) = multiply(inverse(X_47),inverse(multiply(X_47,X_82))),
inference(resolve,[$cnf( $equal(inverse(X_47),multiply(inverse(X_47),inverse(multiply(inverse(inverse(X_47)),X_82)))) )],[refute_0_544,refute_0_546]) ).
cnf(refute_0_548,plain,
inverse(X_95) = multiply(inverse(X_95),inverse(multiply(X_95,X_96))),
inference(subst,[],[refute_0_547:[bind(X_47,$fot(X_95)),bind(X_82,$fot(X_96))]]) ).
cnf(refute_0_549,plain,
multiply(X_96,X_95) = multiply(X_95,X_96),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_96)),bind(Y,$fot(X_95))]]) ).
cnf(refute_0_550,plain,
( multiply(X_96,X_95) != multiply(X_95,X_96)
| multiply(X_95,X_96) = multiply(X_96,X_95) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_96,X_95))),bind(Y0,$fot(multiply(X_95,X_96)))]]) ).
cnf(refute_0_551,plain,
multiply(X_95,X_96) = multiply(X_96,X_95),
inference(resolve,[$cnf( $equal(multiply(X_96,X_95),multiply(X_95,X_96)) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
( multiply(X_95,X_96) != multiply(X_96,X_95)
| inverse(X_95) != multiply(inverse(X_95),inverse(multiply(X_95,X_96)))
| inverse(X_95) = multiply(inverse(X_95),inverse(multiply(X_96,X_95))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_95),multiply(inverse(X_95),inverse(multiply(X_95,X_96)))) ),[1,1,0],$fot(multiply(X_96,X_95))]]) ).
cnf(refute_0_553,plain,
( inverse(X_95) != multiply(inverse(X_95),inverse(multiply(X_95,X_96)))
| inverse(X_95) = multiply(inverse(X_95),inverse(multiply(X_96,X_95))) ),
inference(resolve,[$cnf( $equal(multiply(X_95,X_96),multiply(X_96,X_95)) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
inverse(X_95) = multiply(inverse(X_95),inverse(multiply(X_96,X_95))),
inference(resolve,[$cnf( $equal(inverse(X_95),multiply(inverse(X_95),inverse(multiply(X_95,X_96)))) )],[refute_0_548,refute_0_553]) ).
cnf(refute_0_555,plain,
( inverse(X_95) != multiply(inverse(X_95),inverse(multiply(X_96,X_95)))
| multiply(inverse(X_95),inverse(multiply(X_96,X_95))) = inverse(X_95) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(X_95))),bind(Y0,$fot(multiply(inverse(X_95),inverse(multiply(X_96,X_95)))))]]) ).
cnf(refute_0_556,plain,
multiply(inverse(X_95),inverse(multiply(X_96,X_95))) = inverse(X_95),
inference(resolve,[$cnf( $equal(inverse(X_95),multiply(inverse(X_95),inverse(multiply(X_96,X_95)))) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
multiply(inverse(X_49),inverse(multiply(X_11,X_49))) = inverse(X_49),
inference(subst,[],[refute_0_556:[bind(X_95,$fot(X_49)),bind(X_96,$fot(X_11))]]) ).
cnf(refute_0_558,plain,
multiply(X_119,X_120) = multiply(X_120,X_119),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_119)),bind(Y,$fot(X_120))]]) ).
cnf(refute_0_559,plain,
multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) = multiply(inverse(X_49),inverse(multiply(X_11,X_49))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(multiply(X_11,X_49)))),bind(X_120,$fot(inverse(X_49)))]]) ).
cnf(refute_0_560,plain,
( multiply(inverse(X_49),inverse(multiply(X_11,X_49))) != inverse(X_49)
| multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) != multiply(inverse(X_49),inverse(multiply(X_11,X_49)))
| multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) = inverse(X_49) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(X_11,X_49)),inverse(X_49)))),bind(Y0,$fot(multiply(inverse(X_49),inverse(multiply(X_11,X_49))))),bind(Z0,$fot(inverse(X_49)))]]) ).
cnf(refute_0_561,plain,
( multiply(inverse(X_49),inverse(multiply(X_11,X_49))) != inverse(X_49)
| multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) = inverse(X_49) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_49)),inverse(X_49)),multiply(inverse(X_49),inverse(multiply(X_11,X_49)))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) = inverse(X_49),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),inverse(multiply(X_11,X_49))),inverse(X_49)) )],[refute_0_557,refute_0_561]) ).
cnf(refute_0_563,plain,
( multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) != multiply(inverse(multiply(X_11,X_49)),inverse(X_49))
| multiply(inverse(multiply(X_11,X_49)),inverse(X_49)) != inverse(X_49)
| multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = inverse(X_49) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)),inverse(X_49)) ),[0],$fot(multiply(inverse(multiply(X_11,X_49)),inverse(X_49)))]]) ).
cnf(refute_0_564,plain,
( multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) != multiply(inverse(multiply(X_11,X_49)),inverse(X_49))
| multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = inverse(X_49) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_49)),inverse(X_49)),inverse(X_49)) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)) = inverse(X_49),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_49)),add(inverse(X_49),X_11)),multiply(inverse(multiply(X_11,X_49)),inverse(X_49))) )],[refute_0_458,refute_0_564]) ).
cnf(refute_0_566,plain,
multiply(inverse(multiply(inverse(X_47),add(X_98,X_47))),add(inverse(add(X_98,X_47)),inverse(X_47))) = inverse(add(X_98,X_47)),
inference(subst,[],[refute_0_565:[bind(X_11,$fot(inverse(X_47))),bind(X_49,$fot(add(X_98,X_47)))]]) ).
cnf(refute_0_567,plain,
( multiply(inverse(X_47),add(X_98,X_47)) != multiply(inverse(X_47),X_98)
| multiply(inverse(multiply(inverse(X_47),add(X_98,X_47))),add(inverse(add(X_98,X_47)),inverse(X_47))) != inverse(add(X_98,X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) = inverse(add(X_98,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),add(X_98,X_47))),add(inverse(add(X_98,X_47)),inverse(X_47))),inverse(add(X_98,X_47))) ),[0,0,0],$fot(multiply(inverse(X_47),X_98))]]) ).
cnf(refute_0_568,plain,
( multiply(inverse(multiply(inverse(X_47),add(X_98,X_47))),add(inverse(add(X_98,X_47)),inverse(X_47))) != inverse(add(X_98,X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) = inverse(add(X_98,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(X_98,X_47)),multiply(inverse(X_47),X_98)) )],[refute_0_447,refute_0_567]) ).
cnf(refute_0_569,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) = inverse(add(X_98,X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),add(X_98,X_47))),add(inverse(add(X_98,X_47)),inverse(X_47))),inverse(add(X_98,X_47))) )],[refute_0_566,refute_0_568]) ).
cnf(refute_0_570,plain,
add(X_12,X_10) = add(X_10,X_12),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_571,plain,
( add(X_12,X_10) != add(X_10,X_12)
| add(X_10,X_12) = add(X_12,X_10) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_12,X_10))),bind(Y0,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_572,plain,
add(X_10,X_12) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_12,X_10),add(X_10,X_12)) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
( add(X_10,X_12) != add(X_12,X_10)
| add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) ),[1,1],$fot(add(X_12,X_10))]]) ).
cnf(refute_0_574,plain,
( add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_12),add(X_12,X_10)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_355,refute_0_574]) ).
cnf(refute_0_576,plain,
add(X_60,multiply(X_61,X_62)) = multiply(add(X_60,X_61),add(X_62,X_60)),
inference(subst,[],[refute_0_575:[bind(X_10,$fot(X_60)),bind(X_11,$fot(X_61)),bind(X_12,$fot(X_62))]]) ).
cnf(refute_0_577,plain,
add(X_61,X_60) = add(X_60,X_61),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_61)),bind(Y,$fot(X_60))]]) ).
cnf(refute_0_578,plain,
( add(X_61,X_60) != add(X_60,X_61)
| add(X_60,X_61) = add(X_61,X_60) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_61,X_60))),bind(Y0,$fot(add(X_60,X_61)))]]) ).
cnf(refute_0_579,plain,
add(X_60,X_61) = add(X_61,X_60),
inference(resolve,[$cnf( $equal(add(X_61,X_60),add(X_60,X_61)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
( add(X_60,X_61) != add(X_61,X_60)
| add(X_60,multiply(X_61,X_62)) != multiply(add(X_60,X_61),add(X_62,X_60))
| add(X_60,multiply(X_61,X_62)) = multiply(add(X_61,X_60),add(X_62,X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_60,multiply(X_61,X_62)),multiply(add(X_60,X_61),add(X_62,X_60))) ),[1,0],$fot(add(X_61,X_60))]]) ).
cnf(refute_0_581,plain,
( add(X_60,multiply(X_61,X_62)) != multiply(add(X_60,X_61),add(X_62,X_60))
| add(X_60,multiply(X_61,X_62)) = multiply(add(X_61,X_60),add(X_62,X_60)) ),
inference(resolve,[$cnf( $equal(add(X_60,X_61),add(X_61,X_60)) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
add(X_60,multiply(X_61,X_62)) = multiply(add(X_61,X_60),add(X_62,X_60)),
inference(resolve,[$cnf( $equal(add(X_60,multiply(X_61,X_62)),multiply(add(X_60,X_61),add(X_62,X_60))) )],[refute_0_576,refute_0_581]) ).
cnf(refute_0_583,plain,
add(multiply(X_198,Z),multiply(X_197,X_198)) = multiply(add(X_197,multiply(X_198,Z)),add(X_198,multiply(X_198,Z))),
inference(subst,[],[refute_0_582:[bind(X_60,$fot(multiply(X_198,Z))),bind(X_61,$fot(X_197)),bind(X_62,$fot(X_198))]]) ).
cnf(refute_0_584,plain,
add(X_198,multiply(X_198,Z)) = X_198,
inference(subst,[],[refute_0_526:[bind(Y,$fot(X_198))]]) ).
cnf(refute_0_585,plain,
( add(X_198,multiply(X_198,Z)) != X_198
| add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(add(X_197,multiply(X_198,Z)),add(X_198,multiply(X_198,Z)))
| add(multiply(X_198,Z),multiply(X_197,X_198)) = multiply(add(X_197,multiply(X_198,Z)),X_198) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_198,Z),multiply(X_197,X_198)),multiply(add(X_197,multiply(X_198,Z)),add(X_198,multiply(X_198,Z)))) ),[1,1],$fot(X_198)]]) ).
cnf(refute_0_586,plain,
( add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(add(X_197,multiply(X_198,Z)),add(X_198,multiply(X_198,Z)))
| add(multiply(X_198,Z),multiply(X_197,X_198)) = multiply(add(X_197,multiply(X_198,Z)),X_198) ),
inference(resolve,[$cnf( $equal(add(X_198,multiply(X_198,Z)),X_198) )],[refute_0_584,refute_0_585]) ).
cnf(refute_0_587,plain,
add(multiply(X_198,Z),multiply(X_197,X_198)) = multiply(add(X_197,multiply(X_198,Z)),X_198),
inference(resolve,[$cnf( $equal(add(multiply(X_198,Z),multiply(X_197,X_198)),multiply(add(X_197,multiply(X_198,Z)),add(X_198,multiply(X_198,Z)))) )],[refute_0_583,refute_0_586]) ).
cnf(refute_0_588,plain,
multiply(X_39,add(X_40,X_41)) = add(multiply(X_39,X_40),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_589,plain,
multiply(X_41,X_39) = multiply(X_39,X_41),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_41)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_590,plain,
( multiply(X_41,X_39) != multiply(X_39,X_41)
| multiply(X_39,X_41) = multiply(X_41,X_39) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_41,X_39))),bind(Y0,$fot(multiply(X_39,X_41)))]]) ).
cnf(refute_0_591,plain,
multiply(X_39,X_41) = multiply(X_41,X_39),
inference(resolve,[$cnf( $equal(multiply(X_41,X_39),multiply(X_39,X_41)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
( multiply(X_39,X_41) != multiply(X_41,X_39)
| multiply(X_39,add(X_40,X_41)) != add(multiply(X_39,X_40),multiply(X_39,X_41))
| multiply(X_39,add(X_40,X_41)) = add(multiply(X_39,X_40),multiply(X_41,X_39)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_39,X_41))) ),[1,1],$fot(multiply(X_41,X_39))]]) ).
cnf(refute_0_593,plain,
( multiply(X_39,add(X_40,X_41)) != add(multiply(X_39,X_40),multiply(X_39,X_41))
| multiply(X_39,add(X_40,X_41)) = add(multiply(X_39,X_40),multiply(X_41,X_39)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,X_41),multiply(X_41,X_39)) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiply(X_39,add(X_40,X_41)) = add(multiply(X_39,X_40),multiply(X_41,X_39)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_39,X_41))) )],[refute_0_588,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiply(X_39,add(X_40,X_41)) != add(multiply(X_39,X_40),multiply(X_41,X_39))
| add(multiply(X_39,X_40),multiply(X_41,X_39)) = multiply(X_39,add(X_40,X_41)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_39,add(X_40,X_41)))),bind(Y0,$fot(add(multiply(X_39,X_40),multiply(X_41,X_39))))]]) ).
cnf(refute_0_596,plain,
add(multiply(X_39,X_40),multiply(X_41,X_39)) = multiply(X_39,add(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_41,X_39))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
add(multiply(X_198,Z),multiply(X_197,X_198)) = multiply(X_198,add(Z,X_197)),
inference(subst,[],[refute_0_596:[bind(X_39,$fot(X_198)),bind(X_40,$fot(Z)),bind(X_41,$fot(X_197))]]) ).
cnf(refute_0_598,plain,
( add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(X_198,add(Z,X_197))
| add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(add(X_197,multiply(X_198,Z)),X_198)
| multiply(X_198,add(Z,X_197)) = multiply(add(X_197,multiply(X_198,Z)),X_198) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_198,Z),multiply(X_197,X_198)),multiply(add(X_197,multiply(X_198,Z)),X_198)) ),[0],$fot(multiply(X_198,add(Z,X_197)))]]) ).
cnf(refute_0_599,plain,
( add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(add(X_197,multiply(X_198,Z)),X_198)
| multiply(X_198,add(Z,X_197)) = multiply(add(X_197,multiply(X_198,Z)),X_198) ),
inference(resolve,[$cnf( $equal(add(multiply(X_198,Z),multiply(X_197,X_198)),multiply(X_198,add(Z,X_197))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(X,add(Y,multiply(X,X_85))) = add(multiply(X,Y),multiply(X,multiply(X,X_85))),
inference(subst,[],[distributivity2:[bind(Z,$fot(multiply(X,X_85)))]]) ).
cnf(refute_0_601,plain,
multiply(X_47,add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12))) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(X_47)),bind(X_41,$fot(multiply(inverse(inverse(X_47)),X_12)))]]) ).
cnf(refute_0_602,plain,
add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12)) = add(inverse(X_47),X_12),
inference(subst,[],[refute_0_64:[bind(X_10,$fot(inverse(X_47)))]]) ).
cnf(refute_0_603,plain,
( multiply(X_47,add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12))) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12)) != add(inverse(X_47),X_12)
| multiply(X_47,add(inverse(X_47),X_12)) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12))),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) ),[0,1],$fot(add(inverse(X_47),X_12))]]) ).
cnf(refute_0_604,plain,
( multiply(X_47,add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12))) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(X_47,add(inverse(X_47),X_12)) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12)),add(inverse(X_47),X_12)) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(X_47,add(inverse(X_47),X_12)) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_47,add(inverse(X_47),multiply(inverse(inverse(X_47)),X_12))),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) )],[refute_0_601,refute_0_604]) ).
cnf(refute_0_606,plain,
multiply(X_47,add(inverse(X_47),X_12)) = multiply(X_47,X_12),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(X_47)),bind(X_41,$fot(X_12))]]) ).
cnf(refute_0_607,plain,
( multiply(X_47,add(inverse(X_47),X_12)) != multiply(X_47,X_12)
| multiply(X_47,add(inverse(X_47),X_12)) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(X_47,X_12) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,add(inverse(X_47),X_12)),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) ),[0],$fot(multiply(X_47,X_12))]]) ).
cnf(refute_0_608,plain,
( multiply(X_47,add(inverse(X_47),X_12)) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(X_47,X_12) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,add(inverse(X_47),X_12)),multiply(X_47,X_12)) )],[refute_0_606,refute_0_607]) ).
cnf(refute_0_609,plain,
multiply(X_47,X_12) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),
inference(resolve,[$cnf( $equal(multiply(X_47,add(inverse(X_47),X_12)),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) )],[refute_0_605,refute_0_608]) ).
cnf(refute_0_610,plain,
multiply(inverse(inverse(X_47)),X_12) = multiply(inverse(inverse(X_47)),X_12),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_47)),X_12))]]) ).
cnf(refute_0_611,plain,
( multiply(inverse(inverse(X_47)),X_12) != multiply(inverse(inverse(X_47)),X_12)
| inverse(inverse(X_47)) != X_47
| multiply(inverse(inverse(X_47)),X_12) = multiply(X_47,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_47)),X_12),multiply(inverse(inverse(X_47)),X_12)) ),[1,0],$fot(X_47)]]) ).
cnf(refute_0_612,plain,
( inverse(inverse(X_47)) != X_47
| multiply(inverse(inverse(X_47)),X_12) = multiply(X_47,X_12) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_47)),X_12),multiply(inverse(inverse(X_47)),X_12)) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
multiply(inverse(inverse(X_47)),X_12) = multiply(X_47,X_12),
inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_444,refute_0_612]) ).
cnf(refute_0_614,plain,
multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) = multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),
introduced(tautology,[refl,[$fot(multiply(X_47,multiply(inverse(inverse(X_47)),X_12)))]]) ).
cnf(refute_0_615,plain,
( multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(inverse(inverse(X_47)),X_12) != multiply(X_47,X_12)
| multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) = multiply(X_47,multiply(X_47,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) ),[1,1],$fot(multiply(X_47,X_12))]]) ).
cnf(refute_0_616,plain,
( multiply(inverse(inverse(X_47)),X_12) != multiply(X_47,X_12)
| multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) = multiply(X_47,multiply(X_47,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) = multiply(X_47,multiply(X_47,X_12)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_47)),X_12),multiply(X_47,X_12)) )],[refute_0_613,refute_0_616]) ).
cnf(refute_0_618,plain,
( multiply(X_47,X_12) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(X_47,multiply(inverse(inverse(X_47)),X_12)) != multiply(X_47,multiply(X_47,X_12))
| multiply(X_47,X_12) = multiply(X_47,multiply(X_47,X_12)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_47,X_12),multiply(X_47,multiply(X_47,X_12))) ),[0],$fot(multiply(X_47,multiply(inverse(inverse(X_47)),X_12)))]]) ).
cnf(refute_0_619,plain,
( multiply(X_47,X_12) != multiply(X_47,multiply(inverse(inverse(X_47)),X_12))
| multiply(X_47,X_12) = multiply(X_47,multiply(X_47,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_47,multiply(inverse(inverse(X_47)),X_12)),multiply(X_47,multiply(X_47,X_12))) )],[refute_0_617,refute_0_618]) ).
cnf(refute_0_620,plain,
multiply(X_47,X_12) = multiply(X_47,multiply(X_47,X_12)),
inference(resolve,[$cnf( $equal(multiply(X_47,X_12),multiply(X_47,multiply(inverse(inverse(X_47)),X_12))) )],[refute_0_609,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(X,X_85) = multiply(X,multiply(X,X_85)),
inference(subst,[],[refute_0_620:[bind(X_12,$fot(X_85)),bind(X_47,$fot(X))]]) ).
cnf(refute_0_622,plain,
( multiply(X,X_85) != multiply(X,multiply(X,X_85))
| multiply(X,multiply(X,X_85)) = multiply(X,X_85) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X,X_85))),bind(Y0,$fot(multiply(X,multiply(X,X_85))))]]) ).
cnf(refute_0_623,plain,
multiply(X,multiply(X,X_85)) = multiply(X,X_85),
inference(resolve,[$cnf( $equal(multiply(X,X_85),multiply(X,multiply(X,X_85))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
( multiply(X,multiply(X,X_85)) != multiply(X,X_85)
| multiply(X,add(Y,multiply(X,X_85))) != add(multiply(X,Y),multiply(X,multiply(X,X_85)))
| multiply(X,add(Y,multiply(X,X_85))) = add(multiply(X,Y),multiply(X,X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_85))),add(multiply(X,Y),multiply(X,multiply(X,X_85)))) ),[1,1],$fot(multiply(X,X_85))]]) ).
cnf(refute_0_625,plain,
( multiply(X,add(Y,multiply(X,X_85))) != add(multiply(X,Y),multiply(X,multiply(X,X_85)))
| multiply(X,add(Y,multiply(X,X_85))) = add(multiply(X,Y),multiply(X,X_85)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,X_85)),multiply(X,X_85)) )],[refute_0_623,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(X,add(Y,multiply(X,X_85))) = add(multiply(X,Y),multiply(X,X_85)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_85))),add(multiply(X,Y),multiply(X,multiply(X,X_85)))) )],[refute_0_600,refute_0_625]) ).
cnf(refute_0_627,plain,
add(multiply(X,Y),multiply(X,X_85)) = multiply(X,add(Y,X_85)),
inference(subst,[],[refute_0_106:[bind(Z,$fot(X_85))]]) ).
cnf(refute_0_628,plain,
( multiply(X,add(Y,multiply(X,X_85))) != add(multiply(X,Y),multiply(X,X_85))
| add(multiply(X,Y),multiply(X,X_85)) != multiply(X,add(Y,X_85))
| multiply(X,add(Y,multiply(X,X_85))) = multiply(X,add(Y,X_85)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Y,multiply(X,X_85))),multiply(X,add(Y,X_85))) ),[0],$fot(add(multiply(X,Y),multiply(X,X_85)))]]) ).
cnf(refute_0_629,plain,
( multiply(X,add(Y,multiply(X,X_85))) != add(multiply(X,Y),multiply(X,X_85))
| multiply(X,add(Y,multiply(X,X_85))) = multiply(X,add(Y,X_85)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,X_85)),multiply(X,add(Y,X_85))) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
multiply(X,add(Y,multiply(X,X_85))) = multiply(X,add(Y,X_85)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_85))),add(multiply(X,Y),multiply(X,X_85))) )],[refute_0_626,refute_0_629]) ).
cnf(refute_0_631,plain,
multiply(X_198,add(X_197,multiply(X_198,Z))) = multiply(X_198,add(X_197,Z)),
inference(subst,[],[refute_0_630:[bind(X,$fot(X_198)),bind(Y,$fot(X_197)),bind(X_85,$fot(Z))]]) ).
cnf(refute_0_632,plain,
multiply(add(X_197,multiply(X_198,Z)),X_198) = multiply(X_198,add(X_197,multiply(X_198,Z))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(add(X_197,multiply(X_198,Z)))),bind(X_120,$fot(X_198))]]) ).
cnf(refute_0_633,plain,
( multiply(X_198,add(X_197,multiply(X_198,Z))) != multiply(X_198,add(X_197,Z))
| multiply(add(X_197,multiply(X_198,Z)),X_198) != multiply(X_198,add(X_197,multiply(X_198,Z)))
| multiply(add(X_197,multiply(X_198,Z)),X_198) = multiply(X_198,add(X_197,Z)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(X_197,multiply(X_198,Z)),X_198))),bind(Y0,$fot(multiply(X_198,add(X_197,multiply(X_198,Z))))),bind(Z0,$fot(multiply(X_198,add(X_197,Z))))]]) ).
cnf(refute_0_634,plain,
( multiply(X_198,add(X_197,multiply(X_198,Z))) != multiply(X_198,add(X_197,Z))
| multiply(add(X_197,multiply(X_198,Z)),X_198) = multiply(X_198,add(X_197,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_197,multiply(X_198,Z)),X_198),multiply(X_198,add(X_197,multiply(X_198,Z)))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(add(X_197,multiply(X_198,Z)),X_198) = multiply(X_198,add(X_197,Z)),
inference(resolve,[$cnf( $equal(multiply(X_198,add(X_197,multiply(X_198,Z))),multiply(X_198,add(X_197,Z))) )],[refute_0_631,refute_0_634]) ).
cnf(refute_0_636,plain,
( multiply(X_198,add(Z,X_197)) != multiply(add(X_197,multiply(X_198,Z)),X_198)
| multiply(add(X_197,multiply(X_198,Z)),X_198) != multiply(X_198,add(X_197,Z))
| multiply(X_198,add(Z,X_197)) = multiply(X_198,add(X_197,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_198,add(Z,X_197)),multiply(X_198,add(X_197,Z))) ),[0],$fot(multiply(add(X_197,multiply(X_198,Z)),X_198))]]) ).
cnf(refute_0_637,plain,
( multiply(X_198,add(Z,X_197)) != multiply(add(X_197,multiply(X_198,Z)),X_198)
| multiply(X_198,add(Z,X_197)) = multiply(X_198,add(X_197,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_197,multiply(X_198,Z)),X_198),multiply(X_198,add(X_197,Z))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
( add(multiply(X_198,Z),multiply(X_197,X_198)) != multiply(add(X_197,multiply(X_198,Z)),X_198)
| multiply(X_198,add(Z,X_197)) = multiply(X_198,add(X_197,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X_198,add(Z,X_197)),multiply(add(X_197,multiply(X_198,Z)),X_198)) )],[refute_0_599,refute_0_637]) ).
cnf(refute_0_639,plain,
multiply(X_198,add(Z,X_197)) = multiply(X_198,add(X_197,Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_198,Z),multiply(X_197,X_198)),multiply(add(X_197,multiply(X_198,Z)),X_198)) )],[refute_0_587,refute_0_638]) ).
cnf(refute_0_640,plain,
( multiply(X_198,add(Z,X_197)) != multiply(X_198,add(X_197,Z))
| multiply(X_198,add(X_197,Z)) = multiply(X_198,add(Z,X_197)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_198,add(Z,X_197)))),bind(Y0,$fot(multiply(X_198,add(X_197,Z))))]]) ).
cnf(refute_0_641,plain,
multiply(X_198,add(X_197,Z)) = multiply(X_198,add(Z,X_197)),
inference(resolve,[$cnf( $equal(multiply(X_198,add(Z,X_197)),multiply(X_198,add(X_197,Z))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) = multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),
inference(subst,[],[refute_0_641:[bind(Z,$fot(inverse(X_47))),bind(X_197,$fot(inverse(add(X_98,X_47)))),bind(X_198,$fot(inverse(multiply(inverse(X_47),X_98))))]]) ).
cnf(refute_0_643,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) != multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) != inverse(add(X_98,X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_98,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))),inverse(add(X_98,X_47))) ),[0],$fot(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))]]) ).
cnf(refute_0_644,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))) != inverse(add(X_98,X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_98,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))),multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_98,X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(add(X_98,X_47)),inverse(X_47))),inverse(add(X_98,X_47))) )],[refute_0_569,refute_0_644]) ).
cnf(refute_0_646,plain,
add(inverse(inverse(X_47)),X_98) = add(inverse(inverse(X_47)),X_98),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_47)),X_98))]]) ).
cnf(refute_0_647,plain,
( add(inverse(inverse(X_47)),X_98) != add(inverse(inverse(X_47)),X_98)
| inverse(inverse(X_47)) != X_47
| add(inverse(inverse(X_47)),X_98) = add(X_47,X_98) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_47)),X_98),add(inverse(inverse(X_47)),X_98)) ),[1,0],$fot(X_47)]]) ).
cnf(refute_0_648,plain,
( inverse(inverse(X_47)) != X_47
| add(inverse(inverse(X_47)),X_98) = add(X_47,X_98) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_47)),X_98),add(inverse(inverse(X_47)),X_98)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
add(inverse(inverse(X_47)),X_98) = add(X_47,X_98),
inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_444,refute_0_648]) ).
cnf(refute_0_650,plain,
inverse(add(inverse(inverse(X_47)),X_98)) = inverse(add(inverse(inverse(X_47)),X_98)),
introduced(tautology,[refl,[$fot(inverse(add(inverse(inverse(X_47)),X_98)))]]) ).
cnf(refute_0_651,plain,
( add(inverse(inverse(X_47)),X_98) != add(X_47,X_98)
| inverse(add(inverse(inverse(X_47)),X_98)) != inverse(add(inverse(inverse(X_47)),X_98))
| inverse(add(inverse(inverse(X_47)),X_98)) = inverse(add(X_47,X_98)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(inverse(X_47)),X_98)),inverse(add(inverse(inverse(X_47)),X_98))) ),[1,0],$fot(add(X_47,X_98))]]) ).
cnf(refute_0_652,plain,
( add(inverse(inverse(X_47)),X_98) != add(X_47,X_98)
| inverse(add(inverse(inverse(X_47)),X_98)) = inverse(add(X_47,X_98)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_47)),X_98)),inverse(add(inverse(inverse(X_47)),X_98))) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
inverse(add(inverse(inverse(X_47)),X_98)) = inverse(add(X_47,X_98)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_47)),X_98),add(X_47,X_98)) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
multiply(inverse(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234))),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = inverse(add(inverse(X_235),X_234)),
inference(subst,[],[refute_0_565:[bind(X_11,$fot(inverse(multiply(X_235,X_234)))),bind(X_49,$fot(add(inverse(X_235),X_234)))]]) ).
cnf(refute_0_655,plain,
multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),multiply(X_49,X_12))) = multiply(inverse(multiply(X_49,X_12)),inverse(X_49)),
inference(subst,[],[refute_0_447:[bind(X_47,$fot(multiply(X_49,X_12))),bind(X_98,$fot(inverse(X_49)))]]) ).
cnf(refute_0_656,plain,
add(inverse(X_49),multiply(inverse(inverse(X_49)),X_12)) = add(inverse(X_49),X_12),
inference(subst,[],[refute_0_64:[bind(X_10,$fot(inverse(X_49)))]]) ).
cnf(refute_0_657,plain,
( add(inverse(X_49),multiply(inverse(inverse(X_49)),X_12)) != add(inverse(X_49),X_12)
| inverse(inverse(X_49)) != X_49
| add(inverse(X_49),multiply(X_49,X_12)) = add(inverse(X_49),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_49),multiply(inverse(inverse(X_49)),X_12)),add(inverse(X_49),X_12)) ),[0,1,0],$fot(X_49)]]) ).
cnf(refute_0_658,plain,
( add(inverse(X_49),multiply(inverse(inverse(X_49)),X_12)) != add(inverse(X_49),X_12)
| add(inverse(X_49),multiply(X_49,X_12)) = add(inverse(X_49),X_12) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_49)),X_49) )],[refute_0_452,refute_0_657]) ).
cnf(refute_0_659,plain,
add(inverse(X_49),multiply(X_49,X_12)) = add(inverse(X_49),X_12),
inference(resolve,[$cnf( $equal(add(inverse(X_49),multiply(inverse(inverse(X_49)),X_12)),add(inverse(X_49),X_12)) )],[refute_0_656,refute_0_658]) ).
cnf(refute_0_660,plain,
( multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),multiply(X_49,X_12))) != multiply(inverse(multiply(X_49,X_12)),inverse(X_49))
| add(inverse(X_49),multiply(X_49,X_12)) != add(inverse(X_49),X_12)
| multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),multiply(X_49,X_12))),multiply(inverse(multiply(X_49,X_12)),inverse(X_49))) ),[0,1],$fot(add(inverse(X_49),X_12))]]) ).
cnf(refute_0_661,plain,
( multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),multiply(X_49,X_12))) != multiply(inverse(multiply(X_49,X_12)),inverse(X_49))
| multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_49),multiply(X_49,X_12)),add(inverse(X_49),X_12)) )],[refute_0_659,refute_0_660]) ).
cnf(refute_0_662,plain,
multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = multiply(inverse(multiply(X_49,X_12)),inverse(X_49)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),multiply(X_49,X_12))),multiply(inverse(multiply(X_49,X_12)),inverse(X_49))) )],[refute_0_655,refute_0_661]) ).
cnf(refute_0_663,plain,
( inverse(X_47) != multiply(inverse(X_47),inverse(multiply(X_47,X_82)))
| multiply(inverse(X_47),inverse(multiply(X_47,X_82))) = inverse(X_47) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(X_47))),bind(Y0,$fot(multiply(inverse(X_47),inverse(multiply(X_47,X_82)))))]]) ).
cnf(refute_0_664,plain,
multiply(inverse(X_47),inverse(multiply(X_47,X_82))) = inverse(X_47),
inference(resolve,[$cnf( $equal(inverse(X_47),multiply(inverse(X_47),inverse(multiply(X_47,X_82)))) )],[refute_0_547,refute_0_663]) ).
cnf(refute_0_665,plain,
multiply(inverse(X_49),inverse(multiply(X_49,X_12))) = inverse(X_49),
inference(subst,[],[refute_0_664:[bind(X_47,$fot(X_49)),bind(X_82,$fot(X_12))]]) ).
cnf(refute_0_666,plain,
multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) = multiply(inverse(X_49),inverse(multiply(X_49,X_12))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(multiply(X_49,X_12)))),bind(X_120,$fot(inverse(X_49)))]]) ).
cnf(refute_0_667,plain,
( multiply(inverse(X_49),inverse(multiply(X_49,X_12))) != inverse(X_49)
| multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) != multiply(inverse(X_49),inverse(multiply(X_49,X_12)))
| multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) = inverse(X_49) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(X_49,X_12)),inverse(X_49)))),bind(Y0,$fot(multiply(inverse(X_49),inverse(multiply(X_49,X_12))))),bind(Z0,$fot(inverse(X_49)))]]) ).
cnf(refute_0_668,plain,
( multiply(inverse(X_49),inverse(multiply(X_49,X_12))) != inverse(X_49)
| multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) = inverse(X_49) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_49,X_12)),inverse(X_49)),multiply(inverse(X_49),inverse(multiply(X_49,X_12)))) )],[refute_0_666,refute_0_667]) ).
cnf(refute_0_669,plain,
multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) = inverse(X_49),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),inverse(multiply(X_49,X_12))),inverse(X_49)) )],[refute_0_665,refute_0_668]) ).
cnf(refute_0_670,plain,
( multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) != multiply(inverse(multiply(X_49,X_12)),inverse(X_49))
| multiply(inverse(multiply(X_49,X_12)),inverse(X_49)) != inverse(X_49)
| multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = inverse(X_49) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)),inverse(X_49)) ),[0],$fot(multiply(inverse(multiply(X_49,X_12)),inverse(X_49)))]]) ).
cnf(refute_0_671,plain,
( multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) != multiply(inverse(multiply(X_49,X_12)),inverse(X_49))
| multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = inverse(X_49) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_49,X_12)),inverse(X_49)),inverse(X_49)) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)) = inverse(X_49),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_49,X_12)),add(inverse(X_49),X_12)),multiply(inverse(multiply(X_49,X_12)),inverse(X_49))) )],[refute_0_662,refute_0_671]) ).
cnf(refute_0_673,plain,
multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234)) = inverse(X_235),
inference(subst,[],[refute_0_672:[bind(X_12,$fot(X_234)),bind(X_49,$fot(X_235))]]) ).
cnf(refute_0_674,plain,
( multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234)) != inverse(X_235)
| multiply(inverse(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234))),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != inverse(add(inverse(X_235),X_234))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = inverse(add(inverse(X_235),X_234)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234))),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),inverse(add(inverse(X_235),X_234))) ),[0,0,0],$fot(inverse(X_235))]]) ).
cnf(refute_0_675,plain,
( multiply(inverse(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234))),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != inverse(add(inverse(X_235),X_234))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = inverse(add(inverse(X_235),X_234)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234)),inverse(X_235)) )],[refute_0_673,refute_0_674]) ).
cnf(refute_0_676,plain,
multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = inverse(add(inverse(X_235),X_234)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_235,X_234)),add(inverse(X_235),X_234))),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),inverse(add(inverse(X_235),X_234))) )],[refute_0_654,refute_0_675]) ).
cnf(refute_0_677,plain,
add(inverse(multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))),
inference(subst,[],[refute_0_659:[bind(X_12,$fot(inverse(add(inverse(X_55),X_54)))),bind(X_49,$fot(multiply(X_55,X_54)))]]) ).
cnf(refute_0_678,plain,
multiply(X_39,add(inverse(X_39),multiply(X_50,inverse(X_39)))) = multiply(X_39,multiply(X_50,inverse(X_39))),
inference(subst,[],[refute_0_21:[bind(X_41,$fot(multiply(X_50,inverse(X_39))))]]) ).
cnf(refute_0_679,plain,
add(inverse(X_39),multiply(X_50,inverse(X_39))) = inverse(X_39),
inference(subst,[],[refute_0_463:[bind(Y,$fot(X_50)),bind(Z,$fot(inverse(X_39)))]]) ).
cnf(refute_0_680,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_50,inverse(X_39)))) != multiply(X_39,multiply(X_50,inverse(X_39)))
| add(inverse(X_39),multiply(X_50,inverse(X_39))) != inverse(X_39)
| multiply(X_39,inverse(X_39)) = multiply(X_39,multiply(X_50,inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_50,inverse(X_39)))),multiply(X_39,multiply(X_50,inverse(X_39)))) ),[0,1],$fot(inverse(X_39))]]) ).
cnf(refute_0_681,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_50,inverse(X_39)))) != multiply(X_39,multiply(X_50,inverse(X_39)))
| multiply(X_39,inverse(X_39)) = multiply(X_39,multiply(X_50,inverse(X_39))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_39),multiply(X_50,inverse(X_39))),inverse(X_39)) )],[refute_0_679,refute_0_680]) ).
cnf(refute_0_682,plain,
multiply(X_39,inverse(X_39)) = multiply(X_39,multiply(X_50,inverse(X_39))),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_50,inverse(X_39)))),multiply(X_39,multiply(X_50,inverse(X_39)))) )],[refute_0_678,refute_0_681]) ).
cnf(refute_0_683,plain,
( multiply(X_39,inverse(X_39)) != multiply(X_39,multiply(X_50,inverse(X_39)))
| multiply(X_39,inverse(X_39)) != additive_identity
| additive_identity = multiply(X_39,multiply(X_50,inverse(X_39))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,inverse(X_39)),multiply(X_39,multiply(X_50,inverse(X_39)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_684,plain,
( multiply(X_39,inverse(X_39)) != multiply(X_39,multiply(X_50,inverse(X_39)))
| additive_identity = multiply(X_39,multiply(X_50,inverse(X_39))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(X_39)),additive_identity) )],[refute_0_1,refute_0_683]) ).
cnf(refute_0_685,plain,
additive_identity = multiply(X_39,multiply(X_50,inverse(X_39))),
inference(resolve,[$cnf( $equal(multiply(X_39,inverse(X_39)),multiply(X_39,multiply(X_50,inverse(X_39)))) )],[refute_0_682,refute_0_684]) ).
cnf(refute_0_686,plain,
additive_identity = multiply(inverse(X_47),multiply(X_53,inverse(inverse(X_47)))),
inference(subst,[],[refute_0_685:[bind(X_39,$fot(inverse(X_47))),bind(X_50,$fot(X_53))]]) ).
cnf(refute_0_687,plain,
( additive_identity != multiply(inverse(X_47),multiply(X_53,inverse(inverse(X_47))))
| inverse(inverse(X_47)) != X_47
| additive_identity = multiply(inverse(X_47),multiply(X_53,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(inverse(X_47),multiply(X_53,inverse(inverse(X_47))))) ),[1,1,1],$fot(X_47)]]) ).
cnf(refute_0_688,plain,
( additive_identity != multiply(inverse(X_47),multiply(X_53,inverse(inverse(X_47))))
| additive_identity = multiply(inverse(X_47),multiply(X_53,X_47)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_47)),X_47) )],[refute_0_444,refute_0_687]) ).
cnf(refute_0_689,plain,
additive_identity = multiply(inverse(X_47),multiply(X_53,X_47)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_47),multiply(X_53,inverse(inverse(X_47))))) )],[refute_0_686,refute_0_688]) ).
cnf(refute_0_690,plain,
additive_identity = multiply(inverse(add(inverse(X_55),X_54)),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54))),
inference(subst,[],[refute_0_689:[bind(X_47,$fot(add(inverse(X_55),X_54))),bind(X_53,$fot(multiply(X_55,X_54)))]]) ).
cnf(refute_0_691,plain,
multiply(X_55,X_54) = multiply(multiply(X_55,X_54),add(multiply(X_55,X_54),add(inverse(X_55),X_54))),
inference(subst,[],[refute_0_225:[bind(X_39,$fot(multiply(X_55,X_54))),bind(X_40,$fot(add(inverse(X_55),X_54)))]]) ).
cnf(refute_0_692,plain,
add(multiply(X_55,X_54),add(inverse(X_55),X_54)) = add(inverse(X_55),X_54),
inference(subst,[],[refute_0_472:[bind(X_41,$fot(X_54)),bind(X_50,$fot(X_55))]]) ).
cnf(refute_0_693,plain,
( multiply(X_55,X_54) != multiply(multiply(X_55,X_54),add(multiply(X_55,X_54),add(inverse(X_55),X_54)))
| add(multiply(X_55,X_54),add(inverse(X_55),X_54)) != add(inverse(X_55),X_54)
| multiply(X_55,X_54) = multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,X_54),multiply(multiply(X_55,X_54),add(multiply(X_55,X_54),add(inverse(X_55),X_54)))) ),[1,1],$fot(add(inverse(X_55),X_54))]]) ).
cnf(refute_0_694,plain,
( multiply(X_55,X_54) != multiply(multiply(X_55,X_54),add(multiply(X_55,X_54),add(inverse(X_55),X_54)))
| multiply(X_55,X_54) = multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_54),add(inverse(X_55),X_54)),add(inverse(X_55),X_54)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
multiply(X_55,X_54) = multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)),
inference(resolve,[$cnf( $equal(multiply(X_55,X_54),multiply(multiply(X_55,X_54),add(multiply(X_55,X_54),add(inverse(X_55),X_54)))) )],[refute_0_691,refute_0_694]) ).
cnf(refute_0_696,plain,
( multiply(X_55,X_54) != multiply(multiply(X_55,X_54),add(inverse(X_55),X_54))
| multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)) = multiply(X_55,X_54) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_55,X_54))),bind(Y0,$fot(multiply(multiply(X_55,X_54),add(inverse(X_55),X_54))))]]) ).
cnf(refute_0_697,plain,
multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)) = multiply(X_55,X_54),
inference(resolve,[$cnf( $equal(multiply(X_55,X_54),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
( multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)) != multiply(X_55,X_54)
| additive_identity != multiply(inverse(add(inverse(X_55),X_54)),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)))
| additive_identity = multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(inverse(add(inverse(X_55),X_54)),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)))) ),[1,1],$fot(multiply(X_55,X_54))]]) ).
cnf(refute_0_699,plain,
( additive_identity != multiply(inverse(add(inverse(X_55),X_54)),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)))
| additive_identity = multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)),multiply(X_55,X_54)) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
additive_identity = multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(add(inverse(X_55),X_54)),multiply(multiply(X_55,X_54),add(inverse(X_55),X_54)))) )],[refute_0_690,refute_0_699]) ).
cnf(refute_0_701,plain,
multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)) = multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))),
inference(subst,[],[refute_0_39:[bind(X,$fot(multiply(X_55,X_54))),bind(Y,$fot(inverse(add(inverse(X_55),X_54))))]]) ).
cnf(refute_0_702,plain,
( multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)) != multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))
| additive_identity != multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54))
| additive_identity = multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54))) ),[1],$fot(multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))))]]) ).
cnf(refute_0_703,plain,
( additive_identity != multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54))
| additive_identity = multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
additive_identity = multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(add(inverse(X_55),X_54)),multiply(X_55,X_54))) )],[refute_0_700,refute_0_703]) ).
cnf(refute_0_705,plain,
( additive_identity != multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))
| multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))) = additive_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))))]]) ).
cnf(refute_0_706,plain,
multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))) )],[refute_0_704,refute_0_705]) ).
cnf(refute_0_707,plain,
( multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))) != additive_identity
| add(inverse(multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))) != add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))
| add(inverse(multiply(X_55,X_54)),additive_identity) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))),add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_708,plain,
( add(inverse(multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))) != add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))
| add(inverse(multiply(X_55,X_54)),additive_identity) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54))),additive_identity) )],[refute_0_706,refute_0_707]) ).
cnf(refute_0_709,plain,
add(inverse(multiply(X_55,X_54)),additive_identity) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_55,X_54)),multiply(multiply(X_55,X_54),inverse(add(inverse(X_55),X_54)))),add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))) )],[refute_0_677,refute_0_708]) ).
cnf(refute_0_710,plain,
add(inverse(multiply(X_55,X_54)),additive_identity) = inverse(multiply(X_55,X_54)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(multiply(X_55,X_54))))]]) ).
cnf(refute_0_711,plain,
( add(inverse(multiply(X_55,X_54)),additive_identity) != add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))
| add(inverse(multiply(X_55,X_54)),additive_identity) != inverse(multiply(X_55,X_54))
| inverse(multiply(X_55,X_54)) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_55,X_54)),additive_identity),add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))) ),[0],$fot(inverse(multiply(X_55,X_54)))]]) ).
cnf(refute_0_712,plain,
( add(inverse(multiply(X_55,X_54)),additive_identity) != add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))
| inverse(multiply(X_55,X_54)) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_55,X_54)),additive_identity),inverse(multiply(X_55,X_54))) )],[refute_0_710,refute_0_711]) ).
cnf(refute_0_713,plain,
inverse(multiply(X_55,X_54)) = add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_55,X_54)),additive_identity),add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))) )],[refute_0_709,refute_0_712]) ).
cnf(refute_0_714,plain,
( inverse(multiply(X_55,X_54)) != add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))
| add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) = inverse(multiply(X_55,X_54)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(multiply(X_55,X_54)))),bind(Y0,$fot(add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))))]]) ).
cnf(refute_0_715,plain,
add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54))) = inverse(multiply(X_55,X_54)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_55,X_54)),add(inverse(multiply(X_55,X_54)),inverse(add(inverse(X_55),X_54)))) )],[refute_0_713,refute_0_714]) ).
cnf(refute_0_716,plain,
add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))) = inverse(multiply(X_235,X_234)),
inference(subst,[],[refute_0_715:[bind(X_54,$fot(X_234)),bind(X_55,$fot(X_235))]]) ).
cnf(refute_0_717,plain,
multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),
introduced(tautology,[refl,[$fot(multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))))]]) ).
cnf(refute_0_718,plain,
( multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))
| add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))) != inverse(multiply(X_235,X_234))
| multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) ),[1,1],$fot(inverse(multiply(X_235,X_234)))]]) ).
cnf(refute_0_719,plain,
( add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))) != inverse(multiply(X_235,X_234))
| multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
inference(resolve,[$cnf( $equal(multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) )],[refute_0_717,refute_0_718]) ).
cnf(refute_0_720,plain,
multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))),inverse(multiply(X_235,X_234))) )],[refute_0_716,refute_0_719]) ).
cnf(refute_0_721,plain,
inverse(inverse(X_235)) = X_235,
inference(subst,[],[refute_0_444:[bind(X_47,$fot(X_235))]]) ).
cnf(refute_0_722,plain,
multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))))]]) ).
cnf(refute_0_723,plain,
( multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))
| inverse(inverse(X_235)) != X_235
| multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) ),[1,0],$fot(X_235)]]) ).
cnf(refute_0_724,plain,
( inverse(inverse(X_235)) != X_235
| multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_235)),X_235) )],[refute_0_721,refute_0_724]) ).
cnf(refute_0_726,plain,
( multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,inverse(multiply(X_235,X_234)))
| multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))
| multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))))),bind(Y0,$fot(multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))))),bind(Z0,$fot(multiply(X_235,inverse(multiply(X_235,X_234)))))]]) ).
cnf(refute_0_727,plain,
( multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,inverse(multiply(X_235,X_234)))
| multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))),
inference(resolve,[$cnf( $equal(multiply(X_235,add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(X_235,inverse(multiply(X_235,X_234)))) )],[refute_0_720,refute_0_727]) ).
cnf(refute_0_729,plain,
multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),
inference(subst,[],[refute_0_641:[bind(Z,$fot(inverse(multiply(X_235,X_234)))),bind(X_197,$fot(inverse(add(inverse(X_235),X_234)))),bind(X_198,$fot(inverse(inverse(X_235))))]]) ).
cnf(refute_0_730,plain,
( multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,inverse(multiply(X_235,X_234)))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))))),bind(Y0,$fot(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))))),bind(Z0,$fot(multiply(X_235,inverse(multiply(X_235,X_234)))))]]) ).
cnf(refute_0_731,plain,
( multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))) != multiply(X_235,inverse(multiply(X_235,X_234)))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234))))) )],[refute_0_729,refute_0_730]) ).
cnf(refute_0_732,plain,
multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) = multiply(X_235,inverse(multiply(X_235,X_234))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(multiply(X_235,X_234)),inverse(add(inverse(X_235),X_234)))),multiply(X_235,inverse(multiply(X_235,X_234)))) )],[refute_0_728,refute_0_731]) ).
cnf(refute_0_733,plain,
( multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != multiply(X_235,inverse(multiply(X_235,X_234)))
| multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != inverse(add(inverse(X_235),X_234))
| multiply(X_235,inverse(multiply(X_235,X_234))) = inverse(add(inverse(X_235),X_234)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),inverse(add(inverse(X_235),X_234))) ),[0],$fot(multiply(X_235,inverse(multiply(X_235,X_234))))]]) ).
cnf(refute_0_734,plain,
( multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))) != inverse(add(inverse(X_235),X_234))
| multiply(X_235,inverse(multiply(X_235,X_234))) = inverse(add(inverse(X_235),X_234)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),multiply(X_235,inverse(multiply(X_235,X_234)))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X_235,inverse(multiply(X_235,X_234))) = inverse(add(inverse(X_235),X_234)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_235)),add(inverse(add(inverse(X_235),X_234)),inverse(multiply(X_235,X_234)))),inverse(add(inverse(X_235),X_234))) )],[refute_0_676,refute_0_734]) ).
cnf(refute_0_736,plain,
multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) = inverse(add(inverse(inverse(X_47)),X_98)),
inference(subst,[],[refute_0_735:[bind(X_234,$fot(X_98)),bind(X_235,$fot(inverse(X_47)))]]) ).
cnf(refute_0_737,plain,
( multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) != inverse(add(inverse(inverse(X_47)),X_98))
| inverse(add(inverse(inverse(X_47)),X_98)) != inverse(add(X_47,X_98))
| multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) = inverse(add(X_47,X_98)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))))),bind(Y0,$fot(inverse(add(inverse(inverse(X_47)),X_98)))),bind(Z0,$fot(inverse(add(X_47,X_98))))]]) ).
cnf(refute_0_738,plain,
( inverse(add(inverse(inverse(X_47)),X_98)) != inverse(add(X_47,X_98))
| multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) = inverse(add(X_47,X_98)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))),inverse(add(inverse(inverse(X_47)),X_98))) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) = inverse(add(X_47,X_98)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(inverse(X_47)),X_98)),inverse(add(X_47,X_98))) )],[refute_0_653,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) = multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(multiply(inverse(X_47),X_98)))),bind(X_120,$fot(inverse(X_47)))]]) ).
cnf(refute_0_741,plain,
( multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) != inverse(add(X_47,X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) != multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98)))
| multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) = inverse(add(X_47,X_98)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)))),bind(Y0,$fot(multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))))),bind(Z0,$fot(inverse(add(X_47,X_98))))]]) ).
cnf(refute_0_742,plain,
( multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))) != inverse(add(X_47,X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) = inverse(add(X_47,X_98)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)),multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98)))) )],[refute_0_740,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) = inverse(add(X_47,X_98)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),inverse(multiply(inverse(X_47),X_98))),inverse(add(X_47,X_98))) )],[refute_0_739,refute_0_742]) ).
cnf(refute_0_744,plain,
multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,multiply(X_11,inverse(X_229)))) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229),
inference(subst,[],[refute_0_447:[bind(X_47,$fot(multiply(X_11,inverse(X_229)))),bind(X_98,$fot(X_229))]]) ).
cnf(refute_0_745,plain,
add(X_229,multiply(X_11,inverse(X_229))) = add(X_229,X_11),
inference(subst,[],[refute_0_139:[bind(X_10,$fot(X_229))]]) ).
cnf(refute_0_746,plain,
( multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,multiply(X_11,inverse(X_229)))) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| add(X_229,multiply(X_11,inverse(X_229))) != add(X_229,X_11)
| multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,multiply(X_11,inverse(X_229)))),multiply(inverse(multiply(X_11,inverse(X_229))),X_229)) ),[0,1],$fot(add(X_229,X_11))]]) ).
cnf(refute_0_747,plain,
( multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,multiply(X_11,inverse(X_229)))) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229) ),
inference(resolve,[$cnf( $equal(add(X_229,multiply(X_11,inverse(X_229))),add(X_229,X_11)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,multiply(X_11,inverse(X_229)))),multiply(inverse(multiply(X_11,inverse(X_229))),X_229)) )],[refute_0_744,refute_0_747]) ).
cnf(refute_0_749,plain,
multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) = multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(multiply(X_11,inverse(X_229))))),bind(X_120,$fot(add(X_229,X_11)))]]) ).
cnf(refute_0_750,plain,
( multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) != multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229))))
| multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)),multiply(inverse(multiply(X_11,inverse(X_229))),X_229)) ),[0],$fot(multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))))]]) ).
cnf(refute_0_751,plain,
( multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = multiply(inverse(multiply(X_11,inverse(X_229))),X_229) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)),multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229))))) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
X_81 = multiply(X_81,inverse(multiply(inverse(X_81),X_82))),
inference(subst,[],[refute_0_543:[bind(X_39,$fot(X_81)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_753,plain,
multiply(X_82,inverse(X_81)) = multiply(inverse(X_81),X_82),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_82)),bind(Y,$fot(inverse(X_81)))]]) ).
cnf(refute_0_754,plain,
( multiply(X_82,inverse(X_81)) != multiply(inverse(X_81),X_82)
| multiply(inverse(X_81),X_82) = multiply(X_82,inverse(X_81)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_82,inverse(X_81)))),bind(Y0,$fot(multiply(inverse(X_81),X_82)))]]) ).
cnf(refute_0_755,plain,
multiply(inverse(X_81),X_82) = multiply(X_82,inverse(X_81)),
inference(resolve,[$cnf( $equal(multiply(X_82,inverse(X_81)),multiply(inverse(X_81),X_82)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
( X_81 != multiply(X_81,inverse(multiply(inverse(X_81),X_82)))
| multiply(inverse(X_81),X_82) != multiply(X_82,inverse(X_81))
| X_81 = multiply(X_81,inverse(multiply(X_82,inverse(X_81)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_81,multiply(X_81,inverse(multiply(inverse(X_81),X_82)))) ),[1,1,0],$fot(multiply(X_82,inverse(X_81)))]]) ).
cnf(refute_0_757,plain,
( X_81 != multiply(X_81,inverse(multiply(inverse(X_81),X_82)))
| X_81 = multiply(X_81,inverse(multiply(X_82,inverse(X_81)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_81),X_82),multiply(X_82,inverse(X_81))) )],[refute_0_755,refute_0_756]) ).
cnf(refute_0_758,plain,
X_81 = multiply(X_81,inverse(multiply(X_82,inverse(X_81)))),
inference(resolve,[$cnf( $equal(X_81,multiply(X_81,inverse(multiply(inverse(X_81),X_82)))) )],[refute_0_752,refute_0_757]) ).
cnf(refute_0_759,plain,
( X_81 != multiply(X_81,inverse(multiply(X_82,inverse(X_81))))
| multiply(X_81,inverse(multiply(X_82,inverse(X_81)))) = X_81 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_81)),bind(Y0,$fot(multiply(X_81,inverse(multiply(X_82,inverse(X_81))))))]]) ).
cnf(refute_0_760,plain,
multiply(X_81,inverse(multiply(X_82,inverse(X_81)))) = X_81,
inference(resolve,[$cnf( $equal(X_81,multiply(X_81,inverse(multiply(X_82,inverse(X_81))))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
multiply(X_229,inverse(multiply(X_11,inverse(X_229)))) = X_229,
inference(subst,[],[refute_0_760:[bind(X_81,$fot(X_229)),bind(X_82,$fot(X_11))]]) ).
cnf(refute_0_762,plain,
multiply(inverse(multiply(X_11,inverse(X_229))),X_229) = multiply(X_229,inverse(multiply(X_11,inverse(X_229)))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(multiply(X_11,inverse(X_229))))),bind(X_120,$fot(X_229))]]) ).
cnf(refute_0_763,plain,
( multiply(X_229,inverse(multiply(X_11,inverse(X_229)))) != X_229
| multiply(inverse(multiply(X_11,inverse(X_229))),X_229) != multiply(X_229,inverse(multiply(X_11,inverse(X_229))))
| multiply(inverse(multiply(X_11,inverse(X_229))),X_229) = X_229 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(X_11,inverse(X_229))),X_229))),bind(Y0,$fot(multiply(X_229,inverse(multiply(X_11,inverse(X_229)))))),bind(Z0,$fot(X_229))]]) ).
cnf(refute_0_764,plain,
( multiply(X_229,inverse(multiply(X_11,inverse(X_229)))) != X_229
| multiply(inverse(multiply(X_11,inverse(X_229))),X_229) = X_229 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),X_229),multiply(X_229,inverse(multiply(X_11,inverse(X_229))))) )],[refute_0_762,refute_0_763]) ).
cnf(refute_0_765,plain,
multiply(inverse(multiply(X_11,inverse(X_229))),X_229) = X_229,
inference(resolve,[$cnf( $equal(multiply(X_229,inverse(multiply(X_11,inverse(X_229)))),X_229) )],[refute_0_761,refute_0_764]) ).
cnf(refute_0_766,plain,
( multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(inverse(multiply(X_11,inverse(X_229))),X_229) != X_229
| multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = X_229 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))),X_229) ),[0],$fot(multiply(inverse(multiply(X_11,inverse(X_229))),X_229))]]) ).
cnf(refute_0_767,plain,
( multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = X_229 ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),X_229),X_229) )],[refute_0_765,refute_0_766]) ).
cnf(refute_0_768,plain,
( multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)) != multiply(inverse(multiply(X_11,inverse(X_229))),X_229)
| multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = X_229 ),
inference(resolve,[$cnf( $equal(multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))),multiply(inverse(multiply(X_11,inverse(X_229))),X_229)) )],[refute_0_751,refute_0_767]) ).
cnf(refute_0_769,plain,
multiply(add(X_229,X_11),inverse(multiply(X_11,inverse(X_229)))) = X_229,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,inverse(X_229))),add(X_229,X_11)),multiply(inverse(multiply(X_11,inverse(X_229))),X_229)) )],[refute_0_748,refute_0_768]) ).
cnf(refute_0_770,plain,
multiply(add(X_229,add(X_229,X_242)),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = X_229,
inference(subst,[],[refute_0_769:[bind(X_11,$fot(add(X_229,X_242)))]]) ).
cnf(refute_0_771,plain,
add(X_229,add(X_229,X_242)) = add(X_229,X_242),
inference(subst,[],[refute_0_407:[bind(Y,$fot(X_229)),bind(X_36,$fot(X_242))]]) ).
cnf(refute_0_772,plain,
( multiply(add(X_229,add(X_229,X_242)),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != X_229
| add(X_229,add(X_229,X_242)) != add(X_229,X_242)
| multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = X_229 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_229,add(X_229,X_242)),inverse(multiply(add(X_229,X_242),inverse(X_229)))),X_229) ),[0,0],$fot(add(X_229,X_242))]]) ).
cnf(refute_0_773,plain,
( multiply(add(X_229,add(X_229,X_242)),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != X_229
| multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = X_229 ),
inference(resolve,[$cnf( $equal(add(X_229,add(X_229,X_242)),add(X_229,X_242)) )],[refute_0_771,refute_0_772]) ).
cnf(refute_0_774,plain,
multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = X_229,
inference(resolve,[$cnf( $equal(multiply(add(X_229,add(X_229,X_242)),inverse(multiply(add(X_229,X_242),inverse(X_229)))),X_229) )],[refute_0_770,refute_0_773]) ).
cnf(refute_0_775,plain,
add(X_54,inverse(X_55)) = add(inverse(X_55),X_54),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_54)),bind(Y,$fot(inverse(X_55)))]]) ).
cnf(refute_0_776,plain,
( add(X_54,inverse(X_55)) != add(inverse(X_55),X_54)
| add(inverse(X_55),X_54) = add(X_54,inverse(X_55)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_54,inverse(X_55)))),bind(Y0,$fot(add(inverse(X_55),X_54)))]]) ).
cnf(refute_0_777,plain,
add(inverse(X_55),X_54) = add(X_54,inverse(X_55)),
inference(resolve,[$cnf( $equal(add(X_54,inverse(X_55)),add(inverse(X_55),X_54)) )],[refute_0_775,refute_0_776]) ).
cnf(refute_0_778,plain,
( add(multiply(X_55,X_54),add(inverse(X_55),X_54)) != add(inverse(X_55),X_54)
| add(inverse(X_55),X_54) != add(X_54,inverse(X_55))
| add(multiply(X_55,X_54),add(X_54,inverse(X_55))) = add(inverse(X_55),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,X_54),add(inverse(X_55),X_54)),add(inverse(X_55),X_54)) ),[0,1],$fot(add(X_54,inverse(X_55)))]]) ).
cnf(refute_0_779,plain,
( add(multiply(X_55,X_54),add(inverse(X_55),X_54)) != add(inverse(X_55),X_54)
| add(multiply(X_55,X_54),add(X_54,inverse(X_55))) = add(inverse(X_55),X_54) ),
inference(resolve,[$cnf( $equal(add(inverse(X_55),X_54),add(X_54,inverse(X_55))) )],[refute_0_777,refute_0_778]) ).
cnf(refute_0_780,plain,
add(multiply(X_55,X_54),add(X_54,inverse(X_55))) = add(inverse(X_55),X_54),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_54),add(inverse(X_55),X_54)),add(inverse(X_55),X_54)) )],[refute_0_692,refute_0_779]) ).
cnf(refute_0_781,plain,
add(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),
inference(subst,[],[refute_0_780:[bind(X_54,$fot(inverse(add(X_195,X_194)))),bind(X_55,$fot(add(X_194,X_195)))]]) ).
cnf(refute_0_782,plain,
multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_80))),
inference(subst,[],[refute_0_543:[bind(X_39,$fot(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))))]]) ).
cnf(refute_0_783,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_58),X_12)),add(X_58,multiply(inverse(X_58),X_12))),
inference(subst,[],[refute_0_521:[bind(X_22,$fot(X_58)),bind(X_55,$fot(multiply(inverse(X_58),X_12)))]]) ).
cnf(refute_0_784,plain,
add(X_58,multiply(inverse(X_58),X_12)) = add(X_58,X_12),
inference(subst,[],[refute_0_64:[bind(X_10,$fot(X_58))]]) ).
cnf(refute_0_785,plain,
( add(X_58,multiply(inverse(X_58),X_12)) != add(X_58,X_12)
| multiplicative_identity != add(inverse(multiply(inverse(X_58),X_12)),add(X_58,multiply(inverse(X_58),X_12)))
| multiplicative_identity = add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_58),X_12)),add(X_58,multiply(inverse(X_58),X_12)))) ),[1,1],$fot(add(X_58,X_12))]]) ).
cnf(refute_0_786,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_58),X_12)),add(X_58,multiply(inverse(X_58),X_12)))
| multiplicative_identity = add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_58,multiply(inverse(X_58),X_12)),add(X_58,X_12)) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_58),X_12)),add(X_58,multiply(inverse(X_58),X_12)))) )],[refute_0_783,refute_0_786]) ).
cnf(refute_0_788,plain,
add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)) = add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12))),
inference(subst,[],[refute_0_217:[bind(X,$fot(add(X_58,X_12))),bind(Y,$fot(inverse(multiply(inverse(X_58),X_12))))]]) ).
cnf(refute_0_789,plain,
( add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)) != add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12)))
| multiplicative_identity != add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12))
| multiplicative_identity = add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12))) ),[1],$fot(add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12))))]]) ).
cnf(refute_0_790,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12))
| multiplicative_identity = add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12)),add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12)))) )],[refute_0_788,refute_0_789]) ).
cnf(refute_0_791,plain,
multiplicative_identity = add(add(X_58,X_12),inverse(multiply(inverse(X_58),X_12))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_58),X_12)),add(X_58,X_12))) )],[refute_0_787,refute_0_790]) ).
cnf(refute_0_792,plain,
multiplicative_identity = add(add(add(X_189,X_188),add(X_188,X_189)),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))),
inference(subst,[],[refute_0_791:[bind(X_12,$fot(add(X_188,X_189))),bind(X_58,$fot(add(X_189,X_188)))]]) ).
cnf(refute_0_793,plain,
add(add(X_62,X_60),multiply(add(X_60,X_61),add(X_62,X_60))) = add(X_62,X_60),
inference(subst,[],[refute_0_463:[bind(Y,$fot(add(X_60,X_61))),bind(Z,$fot(add(X_62,X_60)))]]) ).
cnf(refute_0_794,plain,
( add(X_60,multiply(X_61,X_62)) != multiply(add(X_60,X_61),add(X_62,X_60))
| multiply(add(X_60,X_61),add(X_62,X_60)) = add(X_60,multiply(X_61,X_62)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_60,multiply(X_61,X_62)))),bind(Y0,$fot(multiply(add(X_60,X_61),add(X_62,X_60))))]]) ).
cnf(refute_0_795,plain,
multiply(add(X_60,X_61),add(X_62,X_60)) = add(X_60,multiply(X_61,X_62)),
inference(resolve,[$cnf( $equal(add(X_60,multiply(X_61,X_62)),multiply(add(X_60,X_61),add(X_62,X_60))) )],[refute_0_576,refute_0_794]) ).
cnf(refute_0_796,plain,
( multiply(add(X_60,X_61),add(X_62,X_60)) != add(X_60,multiply(X_61,X_62))
| add(add(X_62,X_60),multiply(add(X_60,X_61),add(X_62,X_60))) != add(X_62,X_60)
| add(add(X_62,X_60),add(X_60,multiply(X_61,X_62))) = add(X_62,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_62,X_60),multiply(add(X_60,X_61),add(X_62,X_60))),add(X_62,X_60)) ),[0,1],$fot(add(X_60,multiply(X_61,X_62)))]]) ).
cnf(refute_0_797,plain,
( add(add(X_62,X_60),multiply(add(X_60,X_61),add(X_62,X_60))) != add(X_62,X_60)
| add(add(X_62,X_60),add(X_60,multiply(X_61,X_62))) = add(X_62,X_60) ),
inference(resolve,[$cnf( $equal(multiply(add(X_60,X_61),add(X_62,X_60)),add(X_60,multiply(X_61,X_62))) )],[refute_0_795,refute_0_796]) ).
cnf(refute_0_798,plain,
add(add(X_62,X_60),add(X_60,multiply(X_61,X_62))) = add(X_62,X_60),
inference(resolve,[$cnf( $equal(add(add(X_62,X_60),multiply(add(X_60,X_61),add(X_62,X_60))),add(X_62,X_60)) )],[refute_0_793,refute_0_797]) ).
cnf(refute_0_799,plain,
add(add(X_187,X_185),add(X_185,multiply(multiplicative_identity,X_187))) = add(X_187,X_185),
inference(subst,[],[refute_0_798:[bind(X_60,$fot(X_185)),bind(X_61,$fot(multiplicative_identity)),bind(X_62,$fot(X_187))]]) ).
cnf(refute_0_800,plain,
multiply(multiplicative_identity,X_187) = X_187,
inference(subst,[],[refute_0_60:[bind(X,$fot(X_187))]]) ).
cnf(refute_0_801,plain,
( multiply(multiplicative_identity,X_187) != X_187
| add(add(X_187,X_185),add(X_185,multiply(multiplicative_identity,X_187))) != add(X_187,X_185)
| add(add(X_187,X_185),add(X_185,X_187)) = add(X_187,X_185) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_187,X_185),add(X_185,multiply(multiplicative_identity,X_187))),add(X_187,X_185)) ),[0,1,1],$fot(X_187)]]) ).
cnf(refute_0_802,plain,
( add(add(X_187,X_185),add(X_185,multiply(multiplicative_identity,X_187))) != add(X_187,X_185)
| add(add(X_187,X_185),add(X_185,X_187)) = add(X_187,X_185) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_187),X_187) )],[refute_0_800,refute_0_801]) ).
cnf(refute_0_803,plain,
add(add(X_187,X_185),add(X_185,X_187)) = add(X_187,X_185),
inference(resolve,[$cnf( $equal(add(add(X_187,X_185),add(X_185,multiply(multiplicative_identity,X_187))),add(X_187,X_185)) )],[refute_0_799,refute_0_802]) ).
cnf(refute_0_804,plain,
add(add(X_189,X_188),add(X_188,X_189)) = add(X_189,X_188),
inference(subst,[],[refute_0_803:[bind(X_185,$fot(X_188)),bind(X_187,$fot(X_189))]]) ).
cnf(refute_0_805,plain,
( add(add(X_189,X_188),add(X_188,X_189)) != add(X_189,X_188)
| multiplicative_identity != add(add(add(X_189,X_188),add(X_188,X_189)),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))
| multiplicative_identity = add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(add(X_189,X_188),add(X_188,X_189)),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))) ),[1,0],$fot(add(X_189,X_188))]]) ).
cnf(refute_0_806,plain,
( multiplicative_identity != add(add(add(X_189,X_188),add(X_188,X_189)),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))
| multiplicative_identity = add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) ),
inference(resolve,[$cnf( $equal(add(add(X_189,X_188),add(X_188,X_189)),add(X_189,X_188)) )],[refute_0_804,refute_0_805]) ).
cnf(refute_0_807,plain,
multiplicative_identity = add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(add(X_189,X_188),add(X_188,X_189)),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))) )],[refute_0_792,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(inverse(add(X_189,X_188)),add(X_188,X_189)) = multiply(add(X_188,X_189),inverse(add(X_189,X_188))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(add(X_189,X_188)))),bind(X_120,$fot(add(X_188,X_189)))]]) ).
cnf(refute_0_809,plain,
inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) = inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))]]) ).
cnf(refute_0_810,plain,
( multiply(inverse(add(X_189,X_188)),add(X_188,X_189)) != multiply(add(X_188,X_189),inverse(add(X_189,X_188)))
| inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) != inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))
| inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) ),[1,0],$fot(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))]]) ).
cnf(refute_0_811,plain,
( multiply(inverse(add(X_189,X_188)),add(X_188,X_189)) != multiply(add(X_188,X_189),inverse(add(X_189,X_188)))
| inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)),multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) )],[refute_0_808,refute_0_811]) ).
cnf(refute_0_813,plain,
add(inverse(multiply(inverse(Y),X_82)),multiply(Y,inverse(multiply(inverse(Y),X_82)))) = inverse(multiply(inverse(Y),X_82)),
inference(subst,[],[refute_0_463:[bind(Z,$fot(inverse(multiply(inverse(Y),X_82))))]]) ).
cnf(refute_0_814,plain,
Y = multiply(Y,inverse(multiply(inverse(Y),X_82))),
inference(subst,[],[refute_0_543:[bind(X_39,$fot(Y)),bind(X_80,$fot(X_82))]]) ).
cnf(refute_0_815,plain,
( Y != multiply(Y,inverse(multiply(inverse(Y),X_82)))
| multiply(Y,inverse(multiply(inverse(Y),X_82))) = Y ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(Y)),bind(Y0,$fot(multiply(Y,inverse(multiply(inverse(Y),X_82)))))]]) ).
cnf(refute_0_816,plain,
multiply(Y,inverse(multiply(inverse(Y),X_82))) = Y,
inference(resolve,[$cnf( $equal(Y,multiply(Y,inverse(multiply(inverse(Y),X_82)))) )],[refute_0_814,refute_0_815]) ).
cnf(refute_0_817,plain,
( multiply(Y,inverse(multiply(inverse(Y),X_82))) != Y
| add(inverse(multiply(inverse(Y),X_82)),multiply(Y,inverse(multiply(inverse(Y),X_82)))) != inverse(multiply(inverse(Y),X_82))
| add(inverse(multiply(inverse(Y),X_82)),Y) = inverse(multiply(inverse(Y),X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_82)),multiply(Y,inverse(multiply(inverse(Y),X_82)))),inverse(multiply(inverse(Y),X_82))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_818,plain,
( add(inverse(multiply(inverse(Y),X_82)),multiply(Y,inverse(multiply(inverse(Y),X_82)))) != inverse(multiply(inverse(Y),X_82))
| add(inverse(multiply(inverse(Y),X_82)),Y) = inverse(multiply(inverse(Y),X_82)) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(inverse(Y),X_82))),Y) )],[refute_0_816,refute_0_817]) ).
cnf(refute_0_819,plain,
add(inverse(multiply(inverse(Y),X_82)),Y) = inverse(multiply(inverse(Y),X_82)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_82)),multiply(Y,inverse(multiply(inverse(Y),X_82)))),inverse(multiply(inverse(Y),X_82))) )],[refute_0_813,refute_0_818]) ).
cnf(refute_0_820,plain,
add(inverse(multiply(inverse(Y),X_82)),Y) = add(Y,inverse(multiply(inverse(Y),X_82))),
inference(subst,[],[refute_0_217:[bind(X,$fot(Y)),bind(Y,$fot(inverse(multiply(inverse(Y),X_82))))]]) ).
cnf(refute_0_821,plain,
( add(inverse(multiply(inverse(Y),X_82)),Y) != add(Y,inverse(multiply(inverse(Y),X_82)))
| add(inverse(multiply(inverse(Y),X_82)),Y) != inverse(multiply(inverse(Y),X_82))
| add(Y,inverse(multiply(inverse(Y),X_82))) = inverse(multiply(inverse(Y),X_82)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_82)),Y),inverse(multiply(inverse(Y),X_82))) ),[0],$fot(add(Y,inverse(multiply(inverse(Y),X_82))))]]) ).
cnf(refute_0_822,plain,
( add(inverse(multiply(inverse(Y),X_82)),Y) != inverse(multiply(inverse(Y),X_82))
| add(Y,inverse(multiply(inverse(Y),X_82))) = inverse(multiply(inverse(Y),X_82)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_82)),Y),add(Y,inverse(multiply(inverse(Y),X_82)))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
add(Y,inverse(multiply(inverse(Y),X_82))) = inverse(multiply(inverse(Y),X_82)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_82)),Y),inverse(multiply(inverse(Y),X_82))) )],[refute_0_819,refute_0_822]) ).
cnf(refute_0_824,plain,
add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) = inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))),
inference(subst,[],[refute_0_823:[bind(Y,$fot(add(X_189,X_188))),bind(X_82,$fot(add(X_188,X_189)))]]) ).
cnf(refute_0_825,plain,
( add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) != inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))
| inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) != inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))
| add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))))),bind(Y0,$fot(inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))),bind(Z0,$fot(inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))))]]) ).
cnf(refute_0_826,plain,
( inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))) != inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))
| add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
inference(resolve,[$cnf( $equal(add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))),inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))) )],[refute_0_812,refute_0_826]) ).
cnf(refute_0_828,plain,
( add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))) != inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))
| multiplicative_identity != add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))
| multiplicative_identity = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))) ),[1],$fot(inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))))]]) ).
cnf(refute_0_829,plain,
( multiplicative_identity != add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))
| multiplicative_identity = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))) ),
inference(resolve,[$cnf( $equal(add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189)))),inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188))))) )],[refute_0_827,refute_0_828]) ).
cnf(refute_0_830,plain,
multiplicative_identity = inverse(multiply(add(X_188,X_189),inverse(add(X_189,X_188)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_189,X_188),inverse(multiply(inverse(add(X_189,X_188)),add(X_188,X_189))))) )],[refute_0_807,refute_0_829]) ).
cnf(refute_0_831,plain,
multiplicative_identity = inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),
inference(subst,[],[refute_0_830:[bind(X_188,$fot(X_192)),bind(X_189,$fot(X_193))]]) ).
cnf(refute_0_832,plain,
( multiplicative_identity != inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192))))
| inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192))))))]]) ).
cnf(refute_0_833,plain,
inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192))))) )],[refute_0_831,refute_0_832]) ).
cnf(refute_0_834,plain,
( multiply(add(X_192,X_193),inverse(add(X_193,X_192))) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_80)))
| inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))) != multiplicative_identity
| multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_80)))) ),[1,1,0,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_835,plain,
( multiply(add(X_192,X_193),inverse(add(X_193,X_192))) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_80)))
| multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),multiplicative_identity) )],[refute_0_833,refute_0_834]) ).
cnf(refute_0_836,plain,
multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))),
inference(resolve,[$cnf( $equal(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_80)))) )],[refute_0_782,refute_0_835]) ).
cnf(refute_0_837,plain,
additive_identity = multiply(X_52,multiply(X_53,inverse(X_52))),
inference(subst,[],[refute_0_685:[bind(X_39,$fot(X_52)),bind(X_50,$fot(X_53))]]) ).
cnf(refute_0_838,plain,
multiply(inverse(X_52),X_53) = multiply(X_53,inverse(X_52)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(inverse(X_52))),bind(Y,$fot(X_53))]]) ).
cnf(refute_0_839,plain,
( multiply(inverse(X_52),X_53) != multiply(X_53,inverse(X_52))
| multiply(X_53,inverse(X_52)) = multiply(inverse(X_52),X_53) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(inverse(X_52),X_53))),bind(Y0,$fot(multiply(X_53,inverse(X_52))))]]) ).
cnf(refute_0_840,plain,
multiply(X_53,inverse(X_52)) = multiply(inverse(X_52),X_53),
inference(resolve,[$cnf( $equal(multiply(inverse(X_52),X_53),multiply(X_53,inverse(X_52))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
( multiply(X_53,inverse(X_52)) != multiply(inverse(X_52),X_53)
| additive_identity != multiply(X_52,multiply(X_53,inverse(X_52)))
| additive_identity = multiply(X_52,multiply(inverse(X_52),X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(X_52,multiply(X_53,inverse(X_52)))) ),[1,1],$fot(multiply(inverse(X_52),X_53))]]) ).
cnf(refute_0_842,plain,
( additive_identity != multiply(X_52,multiply(X_53,inverse(X_52)))
| additive_identity = multiply(X_52,multiply(inverse(X_52),X_53)) ),
inference(resolve,[$cnf( $equal(multiply(X_53,inverse(X_52)),multiply(inverse(X_52),X_53)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
additive_identity = multiply(X_52,multiply(inverse(X_52),X_53)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(X_52,multiply(X_53,inverse(X_52)))) )],[refute_0_837,refute_0_842]) ).
cnf(refute_0_844,plain,
additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_53)),
inference(subst,[],[refute_0_843:[bind(X_52,$fot(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))))]]) ).
cnf(refute_0_845,plain,
( additive_identity != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_53))
| inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))) != multiplicative_identity
| additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_53))) ),[1,1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_846,plain,
( additive_identity != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_53))
| additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),multiplicative_identity) )],[refute_0_833,refute_0_845]) ).
cnf(refute_0_847,plain,
additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(inverse(multiply(add(X_192,X_193),inverse(add(X_193,X_192)))),X_53))) )],[refute_0_844,refute_0_846]) ).
cnf(refute_0_848,plain,
multiply(multiplicative_identity,X_53) = X_53,
inference(subst,[],[refute_0_60:[bind(X,$fot(X_53))]]) ).
cnf(refute_0_849,plain,
multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)))]]) ).
cnf(refute_0_850,plain,
( multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))
| multiply(multiplicative_identity,X_53) != X_53
| multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))) ),[1,1],$fot(X_53)]]) ).
cnf(refute_0_851,plain,
( multiply(multiplicative_identity,X_53) != X_53
| multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_53),X_53) )],[refute_0_848,refute_0_851]) ).
cnf(refute_0_853,plain,
( multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53)
| additive_identity != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))
| additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))) ),[1],$fot(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53))]]) ).
cnf(refute_0_854,plain,
( additive_identity != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))
| additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53)),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53)) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
additive_identity = multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiplicative_identity,X_53))) )],[refute_0_847,refute_0_854]) ).
cnf(refute_0_856,plain,
( additive_identity != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53)
| multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) = additive_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53)))]]) ).
cnf(refute_0_857,plain,
multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),X_53)) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))) = additive_identity,
inference(subst,[],[refute_0_857:[bind(X_53,$fot(inverse(multiply(multiplicative_identity,X_80))))]]) ).
cnf(refute_0_859,plain,
( multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))) != additive_identity
| multiply(add(X_192,X_193),inverse(add(X_193,X_192))) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80)))
| multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80)))) ),[1],$fot(additive_identity)]]) ).
cnf(refute_0_860,plain,
( multiply(add(X_192,X_193),inverse(add(X_193,X_192))) != multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80)))
| multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80))),additive_identity) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
multiply(add(X_192,X_193),inverse(add(X_193,X_192))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),multiply(multiply(add(X_192,X_193),inverse(add(X_193,X_192))),inverse(multiply(multiplicative_identity,X_80)))) )],[refute_0_836,refute_0_860]) ).
cnf(refute_0_862,plain,
multiply(add(X_194,X_195),inverse(add(X_195,X_194))) = additive_identity,
inference(subst,[],[refute_0_861:[bind(X_192,$fot(X_194)),bind(X_193,$fot(X_195))]]) ).
cnf(refute_0_863,plain,
( multiply(add(X_194,X_195),inverse(add(X_195,X_194))) != additive_identity
| add(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) ),[0,0],$fot(additive_identity)]]) ).
cnf(refute_0_864,plain,
( add(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),additive_identity) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_781,refute_0_864]) ).
cnf(refute_0_866,plain,
add(inverse(add(X_194,X_195)),multiply(add(X_194,X_195),inverse(add(X_195,X_194)))) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),
inference(subst,[],[refute_0_659:[bind(X_12,$fot(inverse(add(X_195,X_194)))),bind(X_49,$fot(add(X_194,X_195)))]]) ).
cnf(refute_0_867,plain,
( multiply(add(X_194,X_195),inverse(add(X_195,X_194))) != additive_identity
| add(inverse(add(X_194,X_195)),multiply(add(X_194,X_195),inverse(add(X_195,X_194)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(inverse(add(X_194,X_195)),additive_identity) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_194,X_195)),multiply(add(X_194,X_195),inverse(add(X_195,X_194)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_868,plain,
( add(inverse(add(X_194,X_195)),multiply(add(X_194,X_195),inverse(add(X_195,X_194)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(inverse(add(X_194,X_195)),additive_identity) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_194,X_195),inverse(add(X_195,X_194))),additive_identity) )],[refute_0_862,refute_0_867]) ).
cnf(refute_0_869,plain,
add(inverse(add(X_194,X_195)),additive_identity) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_194,X_195)),multiply(add(X_194,X_195),inverse(add(X_195,X_194)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_866,refute_0_868]) ).
cnf(refute_0_870,plain,
add(inverse(add(X_194,X_195)),additive_identity) = inverse(add(X_194,X_195)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(add(X_194,X_195))))]]) ).
cnf(refute_0_871,plain,
( add(inverse(add(X_194,X_195)),additive_identity) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(inverse(add(X_194,X_195)),additive_identity) != inverse(add(X_194,X_195))
| inverse(add(X_194,X_195)) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_194,X_195)),additive_identity),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) ),[0],$fot(inverse(add(X_194,X_195)))]]) ).
cnf(refute_0_872,plain,
( add(inverse(add(X_194,X_195)),additive_identity) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| inverse(add(X_194,X_195)) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_194,X_195)),additive_identity),inverse(add(X_194,X_195))) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
inverse(add(X_194,X_195)) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_194,X_195)),additive_identity),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_869,refute_0_872]) ).
cnf(refute_0_874,plain,
( inverse(add(X_194,X_195)) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) = inverse(add(X_194,X_195)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(add(X_194,X_195)))),bind(Y0,$fot(add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))))]]) ).
cnf(refute_0_875,plain,
add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) = inverse(add(X_194,X_195)),
inference(resolve,[$cnf( $equal(inverse(add(X_194,X_195)),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))) = inverse(add(X_195,X_194)),
inference(subst,[],[refute_0_875:[bind(X_194,$fot(X_195)),bind(X_195,$fot(X_194))]]) ).
cnf(refute_0_877,plain,
add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))),
inference(subst,[],[refute_0_17:[bind(X,$fot(add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))))]]) ).
cnf(refute_0_878,plain,
( add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))
| add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))) != inverse(add(X_195,X_194))
| add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = inverse(add(X_195,X_194)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))))),bind(Y0,$fot(add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))))),bind(Z0,$fot(inverse(add(X_195,X_194))))]]) ).
cnf(refute_0_879,plain,
( add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))) != inverse(add(X_195,X_194))
| add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = inverse(add(X_195,X_194)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) = inverse(add(X_195,X_194)),
inference(resolve,[$cnf( $equal(add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))),inverse(add(X_195,X_194))) )],[refute_0_876,refute_0_879]) ).
cnf(refute_0_881,plain,
( add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != inverse(add(X_195,X_194))
| inverse(add(X_195,X_194)) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) ),[0],$fot(inverse(add(X_195,X_194)))]]) ).
cnf(refute_0_882,plain,
( add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| inverse(add(X_195,X_194)) = add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) ),
inference(resolve,[$cnf( $equal(add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),inverse(add(X_195,X_194))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
( add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))) != inverse(add(X_194,X_195))
| inverse(add(X_195,X_194)) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| inverse(add(X_195,X_194)) = inverse(add(X_194,X_195)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_195,X_194)),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) ),[1],$fot(inverse(add(X_194,X_195)))]]) ).
cnf(refute_0_884,plain,
( inverse(add(X_195,X_194)) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| inverse(add(X_195,X_194)) = inverse(add(X_194,X_195)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194))),inverse(add(X_194,X_195))) )],[refute_0_875,refute_0_883]) ).
cnf(refute_0_885,plain,
( add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))) != add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))
| inverse(add(X_195,X_194)) = inverse(add(X_194,X_195)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_195,X_194)),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_882,refute_0_884]) ).
cnf(refute_0_886,plain,
inverse(add(X_195,X_194)) = inverse(add(X_194,X_195)),
inference(resolve,[$cnf( $equal(add(additive_identity,add(inverse(add(X_195,X_194)),inverse(add(X_194,X_195)))),add(inverse(add(X_194,X_195)),inverse(add(X_195,X_194)))) )],[refute_0_865,refute_0_885]) ).
cnf(refute_0_887,plain,
( inverse(add(X_195,X_194)) != inverse(add(X_194,X_195))
| inverse(add(X_194,X_195)) = inverse(add(X_195,X_194)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(add(X_195,X_194)))),bind(Y0,$fot(inverse(add(X_194,X_195))))]]) ).
cnf(refute_0_888,plain,
inverse(add(X_194,X_195)) = inverse(add(X_195,X_194)),
inference(resolve,[$cnf( $equal(inverse(add(X_195,X_194)),inverse(add(X_194,X_195))) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
inverse(add(inverse(add(X_229,X_242)),inverse(X_229))) = inverse(add(inverse(X_229),inverse(add(X_229,X_242)))),
inference(subst,[],[refute_0_888:[bind(X_194,$fot(inverse(add(X_229,X_242)))),bind(X_195,$fot(inverse(X_229)))]]) ).
cnf(refute_0_890,plain,
multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = inverse(add(inverse(add(X_229,X_242)),inverse(X_229))),
inference(subst,[],[refute_0_735:[bind(X_234,$fot(inverse(X_229))),bind(X_235,$fot(add(X_229,X_242)))]]) ).
cnf(refute_0_891,plain,
( multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != inverse(add(inverse(add(X_229,X_242)),inverse(X_229)))
| inverse(add(inverse(add(X_229,X_242)),inverse(X_229))) != inverse(add(inverse(X_229),inverse(add(X_229,X_242))))
| multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = inverse(add(inverse(X_229),inverse(add(X_229,X_242)))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))))),bind(Y0,$fot(inverse(add(inverse(add(X_229,X_242)),inverse(X_229))))),bind(Z0,$fot(inverse(add(inverse(X_229),inverse(add(X_229,X_242))))))]]) ).
cnf(refute_0_892,plain,
( inverse(add(inverse(add(X_229,X_242)),inverse(X_229))) != inverse(add(inverse(X_229),inverse(add(X_229,X_242))))
| multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = inverse(add(inverse(X_229),inverse(add(X_229,X_242)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))),inverse(add(inverse(add(X_229,X_242)),inverse(X_229)))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) = inverse(add(inverse(X_229),inverse(add(X_229,X_242)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_229,X_242)),inverse(X_229))),inverse(add(inverse(X_229),inverse(add(X_229,X_242))))) )],[refute_0_889,refute_0_892]) ).
cnf(refute_0_894,plain,
( multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != X_229
| multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != inverse(add(inverse(X_229),inverse(add(X_229,X_242))))
| inverse(add(inverse(X_229),inverse(add(X_229,X_242)))) = X_229 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))),X_229) ),[0],$fot(inverse(add(inverse(X_229),inverse(add(X_229,X_242)))))]]) ).
cnf(refute_0_895,plain,
( multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))) != X_229
| inverse(add(inverse(X_229),inverse(add(X_229,X_242)))) = X_229 ),
inference(resolve,[$cnf( $equal(multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))),inverse(add(inverse(X_229),inverse(add(X_229,X_242))))) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
inverse(add(inverse(X_229),inverse(add(X_229,X_242)))) = X_229,
inference(resolve,[$cnf( $equal(multiply(add(X_229,X_242),inverse(multiply(add(X_229,X_242),inverse(X_229)))),X_229) )],[refute_0_774,refute_0_895]) ).
cnf(refute_0_897,plain,
inverse(add(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = add(inverse(X_243),inverse(add(X_243,X_244))),
inference(subst,[],[refute_0_896:[bind(X_229,$fot(add(inverse(X_243),inverse(add(X_243,X_244)))))]]) ).
cnf(refute_0_898,plain,
inverse(add(inverse(X_243),inverse(add(X_243,X_244)))) = X_243,
inference(subst,[],[refute_0_896:[bind(X_229,$fot(X_243)),bind(X_242,$fot(X_244))]]) ).
cnf(refute_0_899,plain,
( inverse(add(inverse(X_243),inverse(add(X_243,X_244)))) != X_243
| inverse(add(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != add(inverse(X_243),inverse(add(X_243,X_244)))
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = add(inverse(X_243),inverse(add(X_243,X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),add(inverse(X_243),inverse(add(X_243,X_244)))) ),[0,0,0],$fot(X_243)]]) ).
cnf(refute_0_900,plain,
( inverse(add(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != add(inverse(X_243),inverse(add(X_243,X_244)))
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = add(inverse(X_243),inverse(add(X_243,X_244))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),X_243) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = add(inverse(X_243),inverse(add(X_243,X_244))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_243),inverse(add(X_243,X_244)))),inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),add(inverse(X_243),inverse(add(X_243,X_244)))) )],[refute_0_897,refute_0_900]) ).
cnf(refute_0_902,plain,
add(X_10,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))) = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))),
inference(subst,[],[refute_0_64:[bind(X_12,$fot(inverse(add(add(inverse(X_10),X_222),X_223))))]]) ).
cnf(refute_0_903,plain,
additive_identity = multiply(inverse(add(add(X_53,X_129),X_131)),multiply(X_53,add(add(X_53,X_129),X_131))),
inference(subst,[],[refute_0_689:[bind(X_47,$fot(add(add(X_53,X_129),X_131)))]]) ).
cnf(refute_0_904,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(add(X_39,X_24))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_905,plain,
add(multiply(additive_identity,X_24),X_39) = multiply(X_39,add(X_39,X_24)),
inference(subst,[],[refute_0_116:[bind(Y,$fot(X_39))]]) ).
cnf(refute_0_906,plain,
( add(multiply(additive_identity,X_24),X_39) != multiply(X_39,add(X_39,X_24))
| multiply(X_39,add(X_39,X_24)) = add(multiply(additive_identity,X_24),X_39) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(additive_identity,X_24),X_39))),bind(Y0,$fot(multiply(X_39,add(X_39,X_24))))]]) ).
cnf(refute_0_907,plain,
multiply(X_39,add(X_39,X_24)) = add(multiply(additive_identity,X_24),X_39),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),multiply(X_39,add(X_39,X_24))) )],[refute_0_905,refute_0_906]) ).
cnf(refute_0_908,plain,
( multiply(X_39,add(X_39,X_24)) != add(multiply(additive_identity,X_24),X_39)
| multiply(X_39,add(add(X_39,X_24),X_41)) != add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_39,X_24),X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(add(X_39,X_24),X_41)),add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))) ),[1,0],$fot(add(multiply(additive_identity,X_24),X_39))]]) ).
cnf(refute_0_909,plain,
( multiply(X_39,add(add(X_39,X_24),X_41)) != add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_39,X_24),X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_39,X_24)),add(multiply(additive_identity,X_24),X_39)) )],[refute_0_907,refute_0_908]) ).
cnf(refute_0_910,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_39,X_24),X_41)),add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))) )],[refute_0_904,refute_0_909]) ).
cnf(refute_0_911,plain,
add(X_39,multiply(X_39,X_41)) = X_39,
inference(subst,[],[refute_0_526:[bind(Y,$fot(X_39)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_912,plain,
add(additive_identity,X_39) = X_39,
inference(subst,[],[refute_0_17:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_913,plain,
multiply(additive_identity,X_24) = additive_identity,
inference(subst,[],[refute_0_258:[bind(X_41,$fot(X_24))]]) ).
cnf(refute_0_914,plain,
add(multiply(additive_identity,X_24),X_39) = add(multiply(additive_identity,X_24),X_39),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_24),X_39))]]) ).
cnf(refute_0_915,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(multiply(additive_identity,X_24),X_39) != add(multiply(additive_identity,X_24),X_39)
| add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),add(multiply(additive_identity,X_24),X_39)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_916,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),add(multiply(additive_identity,X_24),X_39)) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_24),additive_identity) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
( add(multiply(additive_identity,X_24),X_39) != add(additive_identity,X_39)
| add(additive_identity,X_39) != X_39
| add(multiply(additive_identity,X_24),X_39) = X_39 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(additive_identity,X_24),X_39))),bind(Y0,$fot(add(additive_identity,X_39))),bind(Z0,$fot(X_39))]]) ).
cnf(refute_0_919,plain,
( add(additive_identity,X_39) != X_39
| add(multiply(additive_identity,X_24),X_39) = X_39 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),add(additive_identity,X_39)) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
add(multiply(additive_identity,X_24),X_39) = X_39,
inference(resolve,[$cnf( $equal(add(additive_identity,X_39),X_39) )],[refute_0_912,refute_0_919]) ).
cnf(refute_0_921,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),
introduced(tautology,[refl,[$fot(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)))]]) ).
cnf(refute_0_922,plain,
( add(multiply(additive_identity,X_24),X_39) != X_39
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) != add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_923,plain,
( add(multiply(additive_identity,X_24),X_39) != X_39
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),X_39) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( add(X_39,multiply(X_39,X_41)) != X_39
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) != add(X_39,multiply(X_39,X_41))
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = X_39 ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)))),bind(Y0,$fot(add(X_39,multiply(X_39,X_41)))),bind(Z0,$fot(X_39))]]) ).
cnf(refute_0_926,plain,
( add(X_39,multiply(X_39,X_41)) != X_39
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = X_39 ),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),add(X_39,multiply(X_39,X_41))) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = X_39,
inference(resolve,[$cnf( $equal(add(X_39,multiply(X_39,X_41)),X_39) )],[refute_0_911,refute_0_926]) ).
cnf(refute_0_928,plain,
( multiply(X_39,add(add(X_39,X_24),X_41)) != add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) != X_39
| multiply(X_39,add(add(X_39,X_24),X_41)) = X_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,add(add(X_39,X_24),X_41)),X_39) ),[0],$fot(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)))]]) ).
cnf(refute_0_929,plain,
( multiply(X_39,add(add(X_39,X_24),X_41)) != add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))
| multiply(X_39,add(add(X_39,X_24),X_41)) = X_39 ),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),X_39) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_39,X_24),X_41)),add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))) )],[refute_0_910,refute_0_929]) ).
cnf(refute_0_931,plain,
multiply(X_53,add(add(X_53,X_129),X_131)) = X_53,
inference(subst,[],[refute_0_930:[bind(X_24,$fot(X_129)),bind(X_39,$fot(X_53)),bind(X_41,$fot(X_131))]]) ).
cnf(refute_0_932,plain,
( multiply(X_53,add(add(X_53,X_129),X_131)) != X_53
| additive_identity != multiply(inverse(add(add(X_53,X_129),X_131)),multiply(X_53,add(add(X_53,X_129),X_131)))
| additive_identity = multiply(inverse(add(add(X_53,X_129),X_131)),X_53) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(inverse(add(add(X_53,X_129),X_131)),multiply(X_53,add(add(X_53,X_129),X_131)))) ),[1,1],$fot(X_53)]]) ).
cnf(refute_0_933,plain,
( additive_identity != multiply(inverse(add(add(X_53,X_129),X_131)),multiply(X_53,add(add(X_53,X_129),X_131)))
| additive_identity = multiply(inverse(add(add(X_53,X_129),X_131)),X_53) ),
inference(resolve,[$cnf( $equal(multiply(X_53,add(add(X_53,X_129),X_131)),X_53) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
additive_identity = multiply(inverse(add(add(X_53,X_129),X_131)),X_53),
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(add(add(X_53,X_129),X_131)),multiply(X_53,add(add(X_53,X_129),X_131)))) )],[refute_0_903,refute_0_933]) ).
cnf(refute_0_935,plain,
multiply(inverse(add(add(X_53,X_129),X_131)),X_53) = multiply(X_53,inverse(add(add(X_53,X_129),X_131))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(inverse(add(add(X_53,X_129),X_131)))),bind(X_120,$fot(X_53))]]) ).
cnf(refute_0_936,plain,
( multiply(inverse(add(add(X_53,X_129),X_131)),X_53) != multiply(X_53,inverse(add(add(X_53,X_129),X_131)))
| additive_identity != multiply(inverse(add(add(X_53,X_129),X_131)),X_53)
| additive_identity = multiply(X_53,inverse(add(add(X_53,X_129),X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(inverse(add(add(X_53,X_129),X_131)),X_53)) ),[1],$fot(multiply(X_53,inverse(add(add(X_53,X_129),X_131))))]]) ).
cnf(refute_0_937,plain,
( additive_identity != multiply(inverse(add(add(X_53,X_129),X_131)),X_53)
| additive_identity = multiply(X_53,inverse(add(add(X_53,X_129),X_131))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(add(X_53,X_129),X_131)),X_53),multiply(X_53,inverse(add(add(X_53,X_129),X_131)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
additive_identity = multiply(X_53,inverse(add(add(X_53,X_129),X_131))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(add(add(X_53,X_129),X_131)),X_53)) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
additive_identity = multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223))),
inference(subst,[],[refute_0_938:[bind(X_129,$fot(X_222)),bind(X_131,$fot(X_223)),bind(X_53,$fot(inverse(X_10)))]]) ).
cnf(refute_0_940,plain,
( additive_identity != multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))
| multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223))) = additive_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))))]]) ).
cnf(refute_0_941,plain,
multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))) )],[refute_0_939,refute_0_940]) ).
cnf(refute_0_942,plain,
( multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223))) != additive_identity
| add(X_10,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))) != add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))
| add(X_10,additive_identity) = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))),add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_943,plain,
( add(X_10,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))) != add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))
| add(X_10,additive_identity) = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223))),additive_identity) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
add(X_10,additive_identity) = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),inverse(add(add(inverse(X_10),X_222),X_223)))),add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))) )],[refute_0_902,refute_0_943]) ).
cnf(refute_0_945,plain,
( add(X_10,additive_identity) != X_10
| add(X_10,additive_identity) != add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))
| X_10 = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,additive_identity),add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))) ),[0],$fot(X_10)]]) ).
cnf(refute_0_946,plain,
( add(X_10,additive_identity) != add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))
| X_10 = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_31,refute_0_945]) ).
cnf(refute_0_947,plain,
X_10 = add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))) )],[refute_0_944,refute_0_946]) ).
cnf(refute_0_948,plain,
( X_10 != add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))
| add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) = X_10 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(X_10)),bind(Y0,$fot(add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))))]]) ).
cnf(refute_0_949,plain,
add(X_10,inverse(add(add(inverse(X_10),X_222),X_223))) = X_10,
inference(resolve,[$cnf( $equal(X_10,add(X_10,inverse(add(add(inverse(X_10),X_222),X_223)))) )],[refute_0_947,refute_0_948]) ).
cnf(refute_0_950,plain,
add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))) = X_243,
inference(subst,[],[refute_0_949:[bind(X_10,$fot(X_243)),bind(X_222,$fot(inverse(add(X_243,X_244)))),bind(X_223,$fot(X_242))]]) ).
cnf(refute_0_951,plain,
inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),
introduced(tautology,[refl,[$fot(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))))]]) ).
cnf(refute_0_952,plain,
( add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))) != X_243
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))))
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = inverse(X_243) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))))) ),[1,0],$fot(X_243)]]) ).
cnf(refute_0_953,plain,
( add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))) != X_243
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = inverse(X_243) ),
inference(resolve,[$cnf( $equal(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))))) )],[refute_0_951,refute_0_952]) ).
cnf(refute_0_954,plain,
inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) = inverse(X_243),
inference(resolve,[$cnf( $equal(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242))),X_243) )],[refute_0_950,refute_0_953]) ).
cnf(refute_0_955,plain,
( inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != add(inverse(X_243),inverse(add(X_243,X_244)))
| inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != inverse(X_243)
| inverse(X_243) = add(inverse(X_243),inverse(add(X_243,X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),add(inverse(X_243),inverse(add(X_243,X_244)))) ),[0],$fot(inverse(X_243))]]) ).
cnf(refute_0_956,plain,
( inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))) != add(inverse(X_243),inverse(add(X_243,X_244)))
| inverse(X_243) = add(inverse(X_243),inverse(add(X_243,X_244))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),inverse(X_243)) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
inverse(X_243) = add(inverse(X_243),inverse(add(X_243,X_244))),
inference(resolve,[$cnf( $equal(inverse(add(X_243,inverse(add(add(inverse(X_243),inverse(add(X_243,X_244))),X_242)))),add(inverse(X_243),inverse(add(X_243,X_244)))) )],[refute_0_901,refute_0_956]) ).
cnf(refute_0_958,plain,
inverse(X_247) = add(inverse(X_247),inverse(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12)))),
inference(subst,[],[refute_0_957:[bind(X_243,$fot(X_247)),bind(X_244,$fot(multiply(inverse(multiply(X_247,X_80)),X_12)))]]) ).
cnf(refute_0_959,plain,
add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = multiply(add(X_10,inverse(multiply(X_10,X_80))),add(X_12,X_10)),
inference(subst,[],[refute_0_575:[bind(X_11,$fot(inverse(multiply(X_10,X_80))))]]) ).
cnf(refute_0_960,plain,
multiplicative_identity = add(X_10,inverse(multiply(X_10,X_80))),
inference(subst,[],[refute_0_534:[bind(X_22,$fot(X_10)),bind(X_72,$fot(X_80))]]) ).
cnf(refute_0_961,plain,
( multiplicative_identity != add(X_10,inverse(multiply(X_10,X_80)))
| add(X_10,inverse(multiply(X_10,X_80))) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,inverse(multiply(X_10,X_80)))))]]) ).
cnf(refute_0_962,plain,
add(X_10,inverse(multiply(X_10,X_80))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,inverse(multiply(X_10,X_80)))) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
( add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) != multiply(add(X_10,inverse(multiply(X_10,X_80))),add(X_12,X_10))
| add(X_10,inverse(multiply(X_10,X_80))) != multiplicative_identity
| add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)),multiply(add(X_10,inverse(multiply(X_10,X_80))),add(X_12,X_10))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_964,plain,
( add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) != multiply(add(X_10,inverse(multiply(X_10,X_80))),add(X_12,X_10))
| add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_10,X_80))),multiplicative_identity) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)),multiply(add(X_10,inverse(multiply(X_10,X_80))),add(X_12,X_10))) )],[refute_0_959,refute_0_964]) ).
cnf(refute_0_966,plain,
multiply(multiplicative_identity,add(X_12,X_10)) = add(X_12,X_10),
inference(subst,[],[refute_0_60:[bind(X,$fot(add(X_12,X_10)))]]) ).
cnf(refute_0_967,plain,
( multiply(multiplicative_identity,add(X_12,X_10)) != add(X_12,X_10)
| add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) != multiply(multiplicative_identity,add(X_12,X_10))
| add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = add(X_12,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)),multiply(multiplicative_identity,add(X_12,X_10))) ),[1],$fot(add(X_12,X_10))]]) ).
cnf(refute_0_968,plain,
( add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) != multiply(multiplicative_identity,add(X_12,X_10))
| add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = add(X_12,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_12,X_10)),add(X_12,X_10)) )],[refute_0_966,refute_0_967]) ).
cnf(refute_0_969,plain,
add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(multiply(X_10,X_80)),X_12)),multiply(multiplicative_identity,add(X_12,X_10))) )],[refute_0_965,refute_0_968]) ).
cnf(refute_0_970,plain,
add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12)) = add(X_12,X_247),
inference(subst,[],[refute_0_969:[bind(X_10,$fot(X_247))]]) ).
cnf(refute_0_971,plain,
( add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12)) != add(X_12,X_247)
| inverse(X_247) != add(inverse(X_247),inverse(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12))))
| inverse(X_247) = add(inverse(X_247),inverse(add(X_12,X_247))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_247),add(inverse(X_247),inverse(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12))))) ),[1,1,0],$fot(add(X_12,X_247))]]) ).
cnf(refute_0_972,plain,
( inverse(X_247) != add(inverse(X_247),inverse(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12))))
| inverse(X_247) = add(inverse(X_247),inverse(add(X_12,X_247))) ),
inference(resolve,[$cnf( $equal(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12)),add(X_12,X_247)) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
inverse(X_247) = add(inverse(X_247),inverse(add(X_12,X_247))),
inference(resolve,[$cnf( $equal(inverse(X_247),add(inverse(X_247),inverse(add(X_247,multiply(inverse(multiply(X_247,X_80)),X_12))))) )],[refute_0_958,refute_0_972]) ).
cnf(refute_0_974,plain,
( inverse(X_247) != add(inverse(X_247),inverse(add(X_12,X_247)))
| add(inverse(X_247),inverse(add(X_12,X_247))) = inverse(X_247) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(X_247))),bind(Y0,$fot(add(inverse(X_247),inverse(add(X_12,X_247)))))]]) ).
cnf(refute_0_975,plain,
add(inverse(X_247),inverse(add(X_12,X_247))) = inverse(X_247),
inference(resolve,[$cnf( $equal(inverse(X_247),add(inverse(X_247),inverse(add(X_12,X_247)))) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
add(inverse(X_47),inverse(add(X_98,X_47))) = inverse(X_47),
inference(subst,[],[refute_0_975:[bind(X_12,$fot(X_98)),bind(X_247,$fot(X_47))]]) ).
cnf(refute_0_977,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))]]) ).
cnf(refute_0_978,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))
| add(inverse(X_47),inverse(add(X_98,X_47))) != inverse(X_47)
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) ),[1,1],$fot(inverse(X_47))]]) ).
cnf(refute_0_979,plain,
( add(inverse(X_47),inverse(add(X_98,X_47))) != inverse(X_47)
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) )],[refute_0_977,refute_0_978]) ).
cnf(refute_0_980,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)),
inference(resolve,[$cnf( $equal(add(inverse(X_47),inverse(add(X_98,X_47))),inverse(X_47)) )],[refute_0_976,refute_0_979]) ).
cnf(refute_0_981,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) != inverse(add(X_47,X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_47,X_98)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))),bind(Y0,$fot(multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)))),bind(Z0,$fot(inverse(add(X_47,X_98))))]]) ).
cnf(refute_0_982,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)) != inverse(add(X_47,X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_47,X_98)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = inverse(add(X_47,X_98)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),inverse(X_47)),inverse(add(X_47,X_98))) )],[refute_0_743,refute_0_982]) ).
cnf(refute_0_984,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != inverse(add(X_47,X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != inverse(add(X_98,X_47))
| inverse(add(X_47,X_98)) = inverse(add(X_98,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),inverse(add(X_98,X_47))) ),[0],$fot(inverse(add(X_47,X_98)))]]) ).
cnf(refute_0_985,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != inverse(add(X_98,X_47))
| inverse(add(X_47,X_98)) = inverse(add(X_98,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),inverse(add(X_47,X_98))) )],[refute_0_983,refute_0_984]) ).
cnf(refute_0_986,plain,
inverse(add(X_47,X_98)) = inverse(add(X_98,X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),inverse(add(X_98,X_47))) )],[refute_0_645,refute_0_985]) ).
cnf(refute_0_987,plain,
( inverse(add(X_47,X_98)) != inverse(add(X_98,X_47))
| inverse(add(X_98,X_47)) = inverse(add(X_47,X_98)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(inverse(add(X_47,X_98)))),bind(Y0,$fot(inverse(add(X_98,X_47))))]]) ).
cnf(refute_0_988,plain,
inverse(add(X_98,X_47)) = inverse(add(X_47,X_98)),
inference(resolve,[$cnf( $equal(inverse(add(X_47,X_98)),inverse(add(X_98,X_47))) )],[refute_0_986,refute_0_987]) ).
cnf(refute_0_989,plain,
inverse(add(b,a)) = inverse(add(a,b)),
inference(subst,[],[refute_0_988:[bind(X_47,$fot(a)),bind(X_98,$fot(b))]]) ).
cnf(refute_0_990,plain,
multiply(inverse(X_49),add(inverse(inverse(X_49)),X_41)) = multiply(inverse(X_49),X_41),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(inverse(X_49)))]]) ).
cnf(refute_0_991,plain,
( multiply(inverse(X_49),add(inverse(inverse(X_49)),X_41)) != multiply(inverse(X_49),X_41)
| inverse(inverse(X_49)) != X_49
| multiply(inverse(X_49),add(X_49,X_41)) = multiply(inverse(X_49),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_49),add(inverse(inverse(X_49)),X_41)),multiply(inverse(X_49),X_41)) ),[0,1,0],$fot(X_49)]]) ).
cnf(refute_0_992,plain,
( multiply(inverse(X_49),add(inverse(inverse(X_49)),X_41)) != multiply(inverse(X_49),X_41)
| multiply(inverse(X_49),add(X_49,X_41)) = multiply(inverse(X_49),X_41) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_49)),X_49) )],[refute_0_452,refute_0_991]) ).
cnf(refute_0_993,plain,
multiply(inverse(X_49),add(X_49,X_41)) = multiply(inverse(X_49),X_41),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),add(inverse(inverse(X_49)),X_41)),multiply(inverse(X_49),X_41)) )],[refute_0_990,refute_0_992]) ).
cnf(refute_0_994,plain,
multiply(inverse(X_47),add(X_47,inverse(X_98))) = multiply(inverse(X_47),inverse(X_98)),
inference(subst,[],[refute_0_993:[bind(X_41,$fot(inverse(X_98))),bind(X_49,$fot(X_47))]]) ).
cnf(refute_0_995,plain,
multiply(add(X_47,inverse(X_98)),inverse(X_47)) = multiply(inverse(X_47),add(X_47,inverse(X_98))),
inference(subst,[],[refute_0_558:[bind(X_119,$fot(add(X_47,inverse(X_98)))),bind(X_120,$fot(inverse(X_47)))]]) ).
cnf(refute_0_996,plain,
( multiply(add(X_47,inverse(X_98)),inverse(X_47)) != multiply(inverse(X_47),add(X_47,inverse(X_98)))
| multiply(inverse(X_47),add(X_47,inverse(X_98))) != multiply(inverse(X_47),inverse(X_98))
| multiply(add(X_47,inverse(X_98)),inverse(X_47)) = multiply(inverse(X_47),inverse(X_98)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(X_47,inverse(X_98)),inverse(X_47)))),bind(Y0,$fot(multiply(inverse(X_47),add(X_47,inverse(X_98))))),bind(Z0,$fot(multiply(inverse(X_47),inverse(X_98))))]]) ).
cnf(refute_0_997,plain,
( multiply(inverse(X_47),add(X_47,inverse(X_98))) != multiply(inverse(X_47),inverse(X_98))
| multiply(add(X_47,inverse(X_98)),inverse(X_47)) = multiply(inverse(X_47),inverse(X_98)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_47,inverse(X_98)),inverse(X_47)),multiply(inverse(X_47),add(X_47,inverse(X_98)))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
multiply(add(X_47,inverse(X_98)),inverse(X_47)) = multiply(inverse(X_47),inverse(X_98)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_47),add(X_47,inverse(X_98))),multiply(inverse(X_47),inverse(X_98))) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),
introduced(tautology,[refl,[$fot(multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))]]) ).
cnf(refute_0_1000,plain,
( multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))
| add(inverse(X_47),inverse(add(X_98,X_47))) != inverse(X_47)
| multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) ),[1,1],$fot(inverse(X_47))]]) ).
cnf(refute_0_1001,plain,
( add(inverse(X_47),inverse(add(X_98,X_47))) != inverse(X_47)
| multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) )],[refute_0_999,refute_0_1000]) ).
cnf(refute_0_1002,plain,
multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)),
inference(resolve,[$cnf( $equal(add(inverse(X_47),inverse(add(X_98,X_47))),inverse(X_47)) )],[refute_0_976,refute_0_1001]) ).
cnf(refute_0_1003,plain,
add(X_11,X_10) = add(X_10,X_11),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_11)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_1004,plain,
( add(X_11,X_10) != add(X_10,X_11)
| add(X_10,X_11) = add(X_11,X_10) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_11,X_10))),bind(Y0,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_1005,plain,
add(X_10,X_11) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(add(X_11,X_10),add(X_10,X_11)) )],[refute_0_1003,refute_0_1004]) ).
cnf(refute_0_1006,plain,
( add(X_10,X_11) != add(X_11,X_10)
| add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_11,X_10),add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) ),[1,0],$fot(add(X_11,X_10))]]) ).
cnf(refute_0_1007,plain,
( add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_11,X_10),add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_11),add(X_11,X_10)) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_11,X_10),add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_355,refute_0_1007]) ).
cnf(refute_0_1009,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_70))),
inference(subst,[],[refute_0_1008:[bind(X_12,$fot(add(inverse(X_10),X_70)))]]) ).
cnf(refute_0_1010,plain,
multiplicative_identity = add(X_10,add(inverse(X_10),X_70)),
inference(subst,[],[refute_0_515:[bind(X_22,$fot(X_70))]]) ).
cnf(refute_0_1011,plain,
( multiplicative_identity != add(X_10,add(inverse(X_10),X_70))
| add(X_10,add(inverse(X_10),X_70)) = multiplicative_identity ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,add(inverse(X_10),X_70))))]]) ).
cnf(refute_0_1012,plain,
add(X_10,add(inverse(X_10),X_70)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,add(inverse(X_10),X_70))) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_70))) != multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_70)))
| add(X_10,add(inverse(X_10),X_70)) != multiplicative_identity
| add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = multiply(add(X_11,X_10),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_70))),multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_70)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1014,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_70))) != multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_70)))
| add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = multiply(add(X_11,X_10),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),X_70)),multiplicative_identity) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = multiply(add(X_11,X_10),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_70))),multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_70)))) )],[refute_0_1009,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiply(add(X_11,X_10),multiplicative_identity) = add(X_11,X_10),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_11,X_10)))]]) ).
cnf(refute_0_1017,plain,
( multiply(add(X_11,X_10),multiplicative_identity) != add(X_11,X_10)
| add(X_10,multiply(X_11,add(inverse(X_10),X_70))) != multiply(add(X_11,X_10),multiplicative_identity)
| add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = add(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_70))),multiply(add(X_11,X_10),multiplicative_identity)) ),[1],$fot(add(X_11,X_10))]]) ).
cnf(refute_0_1018,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_70))) != multiply(add(X_11,X_10),multiplicative_identity)
| add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = add(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),multiplicative_identity),add(X_11,X_10)) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_70))) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_70))),multiply(add(X_11,X_10),multiplicative_identity)) )],[refute_0_1015,refute_0_1018]) ).
cnf(refute_0_1020,plain,
add(X_10,multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256)))) = add(inverse(multiply(inverse(X_10),X_256)),X_10),
inference(subst,[],[refute_0_1019:[bind(X_11,$fot(inverse(multiply(inverse(X_10),X_256)))),bind(X_70,$fot(inverse(X_256)))]]) ).
cnf(refute_0_1021,plain,
multiply(inverse(multiply(X_232,X_233)),add(inverse(X_233),X_232)) = inverse(X_233),
inference(subst,[],[refute_0_565:[bind(X_11,$fot(X_232)),bind(X_49,$fot(X_233))]]) ).
cnf(refute_0_1022,plain,
add(X_232,inverse(X_233)) = add(inverse(X_233),X_232),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_232)),bind(Y,$fot(inverse(X_233)))]]) ).
cnf(refute_0_1023,plain,
( add(X_232,inverse(X_233)) != add(inverse(X_233),X_232)
| add(inverse(X_233),X_232) = add(X_232,inverse(X_233)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_232,inverse(X_233)))),bind(Y0,$fot(add(inverse(X_233),X_232)))]]) ).
cnf(refute_0_1024,plain,
add(inverse(X_233),X_232) = add(X_232,inverse(X_233)),
inference(resolve,[$cnf( $equal(add(X_232,inverse(X_233)),add(inverse(X_233),X_232)) )],[refute_0_1022,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( multiply(inverse(multiply(X_232,X_233)),add(inverse(X_233),X_232)) != inverse(X_233)
| add(inverse(X_233),X_232) != add(X_232,inverse(X_233))
| multiply(inverse(multiply(X_232,X_233)),add(X_232,inverse(X_233))) = inverse(X_233) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_232,X_233)),add(inverse(X_233),X_232)),inverse(X_233)) ),[0,1],$fot(add(X_232,inverse(X_233)))]]) ).
cnf(refute_0_1026,plain,
( multiply(inverse(multiply(X_232,X_233)),add(inverse(X_233),X_232)) != inverse(X_233)
| multiply(inverse(multiply(X_232,X_233)),add(X_232,inverse(X_233))) = inverse(X_233) ),
inference(resolve,[$cnf( $equal(add(inverse(X_233),X_232),add(X_232,inverse(X_233))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
multiply(inverse(multiply(X_232,X_233)),add(X_232,inverse(X_233))) = inverse(X_233),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_232,X_233)),add(inverse(X_233),X_232)),inverse(X_233)) )],[refute_0_1021,refute_0_1026]) ).
cnf(refute_0_1028,plain,
multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256))) = inverse(X_256),
inference(subst,[],[refute_0_1027:[bind(X_232,$fot(inverse(X_10))),bind(X_233,$fot(X_256))]]) ).
cnf(refute_0_1029,plain,
( multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256))) != inverse(X_256)
| add(X_10,multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256)))) != add(inverse(multiply(inverse(X_10),X_256)),X_10)
| add(X_10,inverse(X_256)) = add(inverse(multiply(inverse(X_10),X_256)),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256)))),add(inverse(multiply(inverse(X_10),X_256)),X_10)) ),[0,1],$fot(inverse(X_256))]]) ).
cnf(refute_0_1030,plain,
( add(X_10,multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256)))) != add(inverse(multiply(inverse(X_10),X_256)),X_10)
| add(X_10,inverse(X_256)) = add(inverse(multiply(inverse(X_10),X_256)),X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256))),inverse(X_256)) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
add(X_10,inverse(X_256)) = add(inverse(multiply(inverse(X_10),X_256)),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(multiply(inverse(X_10),X_256)),add(inverse(X_10),inverse(X_256)))),add(inverse(multiply(inverse(X_10),X_256)),X_10)) )],[refute_0_1020,refute_0_1030]) ).
cnf(refute_0_1032,plain,
add(X_10,inverse(multiply(inverse(X_10),X_256))) = inverse(multiply(inverse(X_10),X_256)),
inference(subst,[],[refute_0_823:[bind(Y,$fot(X_10)),bind(X_82,$fot(X_256))]]) ).
cnf(refute_0_1033,plain,
multiply(X_54,X_55) = multiply(X_55,X_54),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_54)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_1034,plain,
( multiply(X_54,X_55) != multiply(X_55,X_54)
| multiply(X_55,X_54) = multiply(X_54,X_55) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_54,X_55))),bind(Y0,$fot(multiply(X_55,X_54)))]]) ).
cnf(refute_0_1035,plain,
multiply(X_55,X_54) = multiply(X_54,X_55),
inference(resolve,[$cnf( $equal(multiply(X_54,X_55),multiply(X_55,X_54)) )],[refute_0_1033,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( multiply(X_55,X_54) != multiply(X_54,X_55)
| add(multiply(X_55,X_54),add(inverse(X_55),X_54)) != add(inverse(X_55),X_54)
| add(multiply(X_54,X_55),add(inverse(X_55),X_54)) = add(inverse(X_55),X_54) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,X_54),add(inverse(X_55),X_54)),add(inverse(X_55),X_54)) ),[0,0],$fot(multiply(X_54,X_55))]]) ).
cnf(refute_0_1037,plain,
( add(multiply(X_55,X_54),add(inverse(X_55),X_54)) != add(inverse(X_55),X_54)
| add(multiply(X_54,X_55),add(inverse(X_55),X_54)) = add(inverse(X_55),X_54) ),
inference(resolve,[$cnf( $equal(multiply(X_55,X_54),multiply(X_54,X_55)) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
add(multiply(X_54,X_55),add(inverse(X_55),X_54)) = add(inverse(X_55),X_54),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_54),add(inverse(X_55),X_54)),add(inverse(X_55),X_54)) )],[refute_0_692,refute_0_1037]) ).
cnf(refute_0_1039,plain,
add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))),
inference(subst,[],[refute_0_1038:[bind(X_54,$fot(multiply(X_220,add(inverse(inverse(X_55)),X_221))))]]) ).
cnf(refute_0_1040,plain,
add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) = add(X_220,inverse(X_55)),
inference(subst,[],[refute_0_1019:[bind(X_10,$fot(inverse(X_55))),bind(X_11,$fot(X_220)),bind(X_70,$fot(X_221))]]) ).
cnf(refute_0_1041,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) != add(X_220,inverse(X_55))
| add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) ),[0,1],$fot(add(X_220,inverse(X_55)))]]) ).
cnf(refute_0_1042,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))),add(X_220,inverse(X_55))) )],[refute_0_1040,refute_0_1041]) ).
cnf(refute_0_1043,plain,
add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) )],[refute_0_1039,refute_0_1042]) ).
cnf(refute_0_1044,plain,
inverse(inverse(X_55)) = X_55,
inference(subst,[],[refute_0_444:[bind(X_47,$fot(X_55))]]) ).
cnf(refute_0_1045,plain,
add(inverse(inverse(X_55)),X_221) = add(inverse(inverse(X_55)),X_221),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_55)),X_221))]]) ).
cnf(refute_0_1046,plain,
( add(inverse(inverse(X_55)),X_221) != add(inverse(inverse(X_55)),X_221)
| inverse(inverse(X_55)) != X_55
| add(inverse(inverse(X_55)),X_221) = add(X_55,X_221) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_55)),X_221),add(inverse(inverse(X_55)),X_221)) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_1047,plain,
( inverse(inverse(X_55)) != X_55
| add(inverse(inverse(X_55)),X_221) = add(X_55,X_221) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_55)),X_221),add(inverse(inverse(X_55)),X_221)) )],[refute_0_1045,refute_0_1046]) ).
cnf(refute_0_1048,plain,
add(inverse(inverse(X_55)),X_221) = add(X_55,X_221),
inference(resolve,[$cnf( $equal(inverse(inverse(X_55)),X_55) )],[refute_0_1044,refute_0_1047]) ).
cnf(refute_0_1049,plain,
multiply(X_220,add(inverse(inverse(X_55)),X_221)) = multiply(X_220,add(inverse(inverse(X_55)),X_221)),
introduced(tautology,[refl,[$fot(multiply(X_220,add(inverse(inverse(X_55)),X_221)))]]) ).
cnf(refute_0_1050,plain,
( multiply(X_220,add(inverse(inverse(X_55)),X_221)) != multiply(X_220,add(inverse(inverse(X_55)),X_221))
| add(inverse(inverse(X_55)),X_221) != add(X_55,X_221)
| multiply(X_220,add(inverse(inverse(X_55)),X_221)) = multiply(X_220,add(X_55,X_221)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_55)),X_221)),multiply(X_220,add(inverse(inverse(X_55)),X_221))) ),[1,1],$fot(add(X_55,X_221))]]) ).
cnf(refute_0_1051,plain,
( add(inverse(inverse(X_55)),X_221) != add(X_55,X_221)
| multiply(X_220,add(inverse(inverse(X_55)),X_221)) = multiply(X_220,add(X_55,X_221)) ),
inference(resolve,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_55)),X_221)),multiply(X_220,add(inverse(inverse(X_55)),X_221))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
multiply(X_220,add(inverse(inverse(X_55)),X_221)) = multiply(X_220,add(X_55,X_221)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_55)),X_221),add(X_55,X_221)) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) = multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))),
introduced(tautology,[refl,[$fot(multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))]]) ).
cnf(refute_0_1054,plain,
( multiply(X_220,add(inverse(inverse(X_55)),X_221)) != multiply(X_220,add(X_55,X_221))
| multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) != multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) = multiply(X_55,multiply(X_220,add(X_55,X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) ),[1,1],$fot(multiply(X_220,add(X_55,X_221)))]]) ).
cnf(refute_0_1055,plain,
( multiply(X_220,add(inverse(inverse(X_55)),X_221)) != multiply(X_220,add(X_55,X_221))
| multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) = multiply(X_55,multiply(X_220,add(X_55,X_221))) ),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) = multiply(X_55,multiply(X_220,add(X_55,X_221))),
inference(resolve,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_55)),X_221)),multiply(X_220,add(X_55,X_221))) )],[refute_0_1052,refute_0_1055]) ).
cnf(refute_0_1057,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))),
introduced(tautology,[refl,[$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))))]]) ).
cnf(refute_0_1058,plain,
( multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) != multiply(X_55,multiply(X_220,add(X_55,X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))) ),[1,1],$fot(multiply(X_55,multiply(X_220,add(X_55,X_221))))]]) ).
cnf(refute_0_1059,plain,
( multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))) != multiply(X_55,multiply(X_220,add(X_55,X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))) )],[refute_0_1057,refute_0_1058]) ).
cnf(refute_0_1060,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))),multiply(X_55,multiply(X_220,add(X_55,X_221)))) )],[refute_0_1056,refute_0_1059]) ).
cnf(refute_0_1061,plain,
add(X_10,multiply(multiply(X_108,X_107),multiply(X_107,X_108))) = multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)),
inference(subst,[],[refute_0_575:[bind(X_11,$fot(multiply(X_108,X_107))),bind(X_12,$fot(multiply(X_107,X_108)))]]) ).
cnf(refute_0_1062,plain,
multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) = multiply(multiply(X_105,X_104),multiply(X_104,X_105)),
inference(subst,[],[refute_0_21:[bind(X_39,$fot(multiply(X_105,X_104))),bind(X_41,$fot(multiply(X_104,X_105)))]]) ).
cnf(refute_0_1063,plain,
multiply(X_103,X_102) = multiply(multiply(X_103,X_102),add(X_22,multiply(X_103,X_102))),
inference(subst,[],[refute_0_484:[bind(X_21,$fot(multiply(X_103,X_102)))]]) ).
cnf(refute_0_1064,plain,
add(X_22,multiply(X_103,X_102)) = add(X_22,multiply(X_102,X_103)),
inference(subst,[],[refute_0_366:[bind(X_10,$fot(X_22)),bind(X_11,$fot(X_102)),bind(X_12,$fot(X_103))]]) ).
cnf(refute_0_1065,plain,
( multiply(X_103,X_102) != multiply(multiply(X_103,X_102),add(X_22,multiply(X_103,X_102)))
| add(X_22,multiply(X_103,X_102)) != add(X_22,multiply(X_102,X_103))
| multiply(X_103,X_102) = multiply(multiply(X_103,X_102),add(X_22,multiply(X_102,X_103))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_103,X_102),multiply(multiply(X_103,X_102),add(X_22,multiply(X_103,X_102)))) ),[1,1],$fot(add(X_22,multiply(X_102,X_103)))]]) ).
cnf(refute_0_1066,plain,
( multiply(X_103,X_102) != multiply(multiply(X_103,X_102),add(X_22,multiply(X_103,X_102)))
| multiply(X_103,X_102) = multiply(multiply(X_103,X_102),add(X_22,multiply(X_102,X_103))) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_103,X_102)),add(X_22,multiply(X_102,X_103))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiply(X_103,X_102) = multiply(multiply(X_103,X_102),add(X_22,multiply(X_102,X_103))),
inference(resolve,[$cnf( $equal(multiply(X_103,X_102),multiply(multiply(X_103,X_102),add(X_22,multiply(X_103,X_102)))) )],[refute_0_1063,refute_0_1066]) ).
cnf(refute_0_1068,plain,
multiply(X_105,X_104) = multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))),
inference(subst,[],[refute_0_1067:[bind(X_102,$fot(X_104)),bind(X_103,$fot(X_105)),bind(X_22,$fot(inverse(multiply(X_105,X_104))))]]) ).
cnf(refute_0_1069,plain,
( multiply(X_105,X_104) != multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105)))
| multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) = multiply(X_105,X_104) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_105,X_104))),bind(Y0,$fot(multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105)))))]]) ).
cnf(refute_0_1070,plain,
multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) = multiply(X_105,X_104),
inference(resolve,[$cnf( $equal(multiply(X_105,X_104),multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105)))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
( multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) != multiply(X_105,X_104)
| multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) != multiply(multiply(X_105,X_104),multiply(X_104,X_105))
| multiply(X_105,X_104) = multiply(multiply(X_105,X_104),multiply(X_104,X_105)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))),multiply(multiply(X_105,X_104),multiply(X_104,X_105))) ),[0],$fot(multiply(X_105,X_104))]]) ).
cnf(refute_0_1072,plain,
( multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))) != multiply(multiply(X_105,X_104),multiply(X_104,X_105))
| multiply(X_105,X_104) = multiply(multiply(X_105,X_104),multiply(X_104,X_105)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))),multiply(X_105,X_104)) )],[refute_0_1070,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(X_105,X_104) = multiply(multiply(X_105,X_104),multiply(X_104,X_105)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_104),add(inverse(multiply(X_105,X_104)),multiply(X_104,X_105))),multiply(multiply(X_105,X_104),multiply(X_104,X_105))) )],[refute_0_1062,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiply(X_108,X_107) = multiply(multiply(X_108,X_107),multiply(X_107,X_108)),
inference(subst,[],[refute_0_1073:[bind(X_104,$fot(X_107)),bind(X_105,$fot(X_108))]]) ).
cnf(refute_0_1075,plain,
( multiply(X_108,X_107) != multiply(multiply(X_108,X_107),multiply(X_107,X_108))
| multiply(multiply(X_108,X_107),multiply(X_107,X_108)) = multiply(X_108,X_107) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_108,X_107))),bind(Y0,$fot(multiply(multiply(X_108,X_107),multiply(X_107,X_108))))]]) ).
cnf(refute_0_1076,plain,
multiply(multiply(X_108,X_107),multiply(X_107,X_108)) = multiply(X_108,X_107),
inference(resolve,[$cnf( $equal(multiply(X_108,X_107),multiply(multiply(X_108,X_107),multiply(X_107,X_108))) )],[refute_0_1074,refute_0_1075]) ).
cnf(refute_0_1077,plain,
( multiply(multiply(X_108,X_107),multiply(X_107,X_108)) != multiply(X_108,X_107)
| add(X_10,multiply(multiply(X_108,X_107),multiply(X_107,X_108))) != multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))
| add(X_10,multiply(X_108,X_107)) = multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(multiply(X_108,X_107),multiply(X_107,X_108))),multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))) ),[0,1],$fot(multiply(X_108,X_107))]]) ).
cnf(refute_0_1078,plain,
( add(X_10,multiply(multiply(X_108,X_107),multiply(X_107,X_108))) != multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))
| add(X_10,multiply(X_108,X_107)) = multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_107),multiply(X_107,X_108)),multiply(X_108,X_107)) )],[refute_0_1076,refute_0_1077]) ).
cnf(refute_0_1079,plain,
add(X_10,multiply(X_108,X_107)) = multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(multiply(X_108,X_107),multiply(X_107,X_108))),multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))) )],[refute_0_1061,refute_0_1078]) ).
cnf(refute_0_1080,plain,
multiply(X_10,X_10) = X_10,
inference(subst,[],[refute_0_416:[bind(X_28,$fot(X_10))]]) ).
cnf(refute_0_1081,plain,
add(multiply(X_107,X_108),multiply(X_10,X_10)) = add(multiply(X_107,X_108),multiply(X_10,X_10)),
introduced(tautology,[refl,[$fot(add(multiply(X_107,X_108),multiply(X_10,X_10)))]]) ).
cnf(refute_0_1082,plain,
( multiply(X_10,X_10) != X_10
| add(multiply(X_107,X_108),multiply(X_10,X_10)) != add(multiply(X_107,X_108),multiply(X_10,X_10))
| add(multiply(X_107,X_108),multiply(X_10,X_10)) = add(multiply(X_107,X_108),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_107,X_108),multiply(X_10,X_10)),add(multiply(X_107,X_108),multiply(X_10,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_1083,plain,
( multiply(X_10,X_10) != X_10
| add(multiply(X_107,X_108),multiply(X_10,X_10)) = add(multiply(X_107,X_108),X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(X_107,X_108),multiply(X_10,X_10)),add(multiply(X_107,X_108),multiply(X_10,X_10))) )],[refute_0_1081,refute_0_1082]) ).
cnf(refute_0_1084,plain,
add(multiply(X_107,X_108),multiply(X_10,X_10)) = add(multiply(X_107,X_108),X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,X_10),X_10) )],[refute_0_1080,refute_0_1083]) ).
cnf(refute_0_1085,plain,
add(multiply(X_103,X_102),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_103,X_102)),add(multiply(X_103,X_102),X_12)),
inference(subst,[],[refute_0_1008:[bind(X_10,$fot(multiply(X_103,X_102)))]]) ).
cnf(refute_0_1086,plain,
add(X_11,multiply(X_103,X_102)) = add(X_11,multiply(X_102,X_103)),
inference(subst,[],[refute_0_366:[bind(X_10,$fot(X_11)),bind(X_11,$fot(X_102)),bind(X_12,$fot(X_103))]]) ).
cnf(refute_0_1087,plain,
( add(X_11,multiply(X_103,X_102)) != add(X_11,multiply(X_102,X_103))
| add(multiply(X_103,X_102),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_103,X_102)),add(multiply(X_103,X_102),X_12))
| add(multiply(X_103,X_102),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_103,X_102),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_103,X_102)),add(multiply(X_103,X_102),X_12))) ),[1,0],$fot(add(X_11,multiply(X_102,X_103)))]]) ).
cnf(refute_0_1088,plain,
( add(multiply(X_103,X_102),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_103,X_102)),add(multiply(X_103,X_102),X_12))
| add(multiply(X_103,X_102),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12)) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_103,X_102)),add(X_11,multiply(X_102,X_103))) )],[refute_0_1086,refute_0_1087]) ).
cnf(refute_0_1089,plain,
add(multiply(X_103,X_102),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_103,X_102),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_103,X_102)),add(multiply(X_103,X_102),X_12))) )],[refute_0_1085,refute_0_1088]) ).
cnf(refute_0_1090,plain,
( add(multiply(X_103,X_102),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12))
| multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12)) = add(multiply(X_103,X_102),multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(multiply(X_103,X_102),multiply(X_11,X_12)))),bind(Y0,$fot(multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12))))]]) ).
cnf(refute_0_1091,plain,
multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12)) = add(multiply(X_103,X_102),multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_103,X_102),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_102,X_103)),add(multiply(X_103,X_102),X_12))) )],[refute_0_1089,refute_0_1090]) ).
cnf(refute_0_1092,plain,
multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) = add(multiply(X_107,X_108),multiply(X_10,X_10)),
inference(subst,[],[refute_0_1091:[bind(X_102,$fot(X_108)),bind(X_103,$fot(X_107)),bind(X_11,$fot(X_10)),bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_1093,plain,
( multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) != add(multiply(X_107,X_108),multiply(X_10,X_10))
| add(multiply(X_107,X_108),multiply(X_10,X_10)) != add(multiply(X_107,X_108),X_10)
| multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) = add(multiply(X_107,X_108),X_10) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)))),bind(Y0,$fot(add(multiply(X_107,X_108),multiply(X_10,X_10)))),bind(Z0,$fot(add(multiply(X_107,X_108),X_10)))]]) ).
cnf(refute_0_1094,plain,
( add(multiply(X_107,X_108),multiply(X_10,X_10)) != add(multiply(X_107,X_108),X_10)
| multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) = add(multiply(X_107,X_108),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)),add(multiply(X_107,X_108),multiply(X_10,X_10))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) = add(multiply(X_107,X_108),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_107,X_108),multiply(X_10,X_10)),add(multiply(X_107,X_108),X_10)) )],[refute_0_1084,refute_0_1094]) ).
cnf(refute_0_1096,plain,
( multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) != add(multiply(X_107,X_108),X_10)
| add(X_10,multiply(X_108,X_107)) != multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))
| add(X_10,multiply(X_108,X_107)) = add(multiply(X_107,X_108),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_108,X_107)),multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))) ),[1],$fot(add(multiply(X_107,X_108),X_10))]]) ).
cnf(refute_0_1097,plain,
( add(X_10,multiply(X_108,X_107)) != multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))
| add(X_10,multiply(X_108,X_107)) = add(multiply(X_107,X_108),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)),add(multiply(X_107,X_108),X_10)) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
add(X_10,multiply(X_108,X_107)) = add(multiply(X_107,X_108),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_108,X_107)),multiply(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10))) )],[refute_0_1079,refute_0_1097]) ).
cnf(refute_0_1099,plain,
( add(X_10,multiply(X_108,X_107)) != add(multiply(X_107,X_108),X_10)
| add(multiply(X_107,X_108),X_10) = add(X_10,multiply(X_108,X_107)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_10,multiply(X_108,X_107)))),bind(Y0,$fot(add(multiply(X_107,X_108),X_10)))]]) ).
cnf(refute_0_1100,plain,
add(multiply(X_107,X_108),X_10) = add(X_10,multiply(X_108,X_107)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_108,X_107)),add(multiply(X_107,X_108),X_10)) )],[refute_0_1098,refute_0_1099]) ).
cnf(refute_0_1101,plain,
add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))),
inference(subst,[],[refute_0_1100:[bind(X_10,$fot(add(X_220,inverse(X_55)))),bind(X_107,$fot(multiply(X_220,add(inverse(inverse(X_55)),X_221)))),bind(X_108,$fot(X_55))]]) ).
cnf(refute_0_1102,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))
| add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))))),bind(Y0,$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))))),bind(Z0,$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))))]]) ).
cnf(refute_0_1103,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))
| add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221))))) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(inverse(inverse(X_55)),X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))) )],[refute_0_1060,refute_0_1103]) ).
cnf(refute_0_1105,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))
| add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) ),[0],$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))))]]) ).
cnf(refute_0_1106,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))) )],[refute_0_1104,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))) != add(X_220,inverse(X_55))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(X_220,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(X_220,inverse(X_55))) ),[0],$fot(add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))))]]) ).
cnf(refute_0_1108,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(X_220,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221))),add(X_220,inverse(X_55))) )],[refute_0_1040,refute_0_1107]) ).
cnf(refute_0_1109,plain,
( add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))) != add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(X_220,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) )],[refute_0_1106,refute_0_1108]) ).
cnf(refute_0_1110,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(X_220,inverse(X_55)),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_220,add(inverse(inverse(X_55)),X_221)),X_55),add(X_220,inverse(X_55))),add(inverse(X_55),multiply(X_220,add(inverse(inverse(X_55)),X_221)))) )],[refute_0_1043,refute_0_1109]) ).
cnf(refute_0_1111,plain,
add(multiply(X_88,X_87),add(X_87,inverse(X_88))) = add(inverse(X_88),X_87),
inference(subst,[],[refute_0_780:[bind(X_54,$fot(X_87)),bind(X_55,$fot(X_88))]]) ).
cnf(refute_0_1112,plain,
multiply(X_87,X_88) = multiply(X_88,X_87),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_87)),bind(Y,$fot(X_88))]]) ).
cnf(refute_0_1113,plain,
( multiply(X_87,X_88) != multiply(X_88,X_87)
| multiply(X_88,X_87) = multiply(X_87,X_88) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_87,X_88))),bind(Y0,$fot(multiply(X_88,X_87)))]]) ).
cnf(refute_0_1114,plain,
multiply(X_88,X_87) = multiply(X_87,X_88),
inference(resolve,[$cnf( $equal(multiply(X_87,X_88),multiply(X_88,X_87)) )],[refute_0_1112,refute_0_1113]) ).
cnf(refute_0_1115,plain,
( multiply(X_88,X_87) != multiply(X_87,X_88)
| add(multiply(X_88,X_87),add(X_87,inverse(X_88))) != add(inverse(X_88),X_87)
| add(multiply(X_87,X_88),add(X_87,inverse(X_88))) = add(inverse(X_88),X_87) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_88,X_87),add(X_87,inverse(X_88))),add(inverse(X_88),X_87)) ),[0,0],$fot(multiply(X_87,X_88))]]) ).
cnf(refute_0_1116,plain,
( add(multiply(X_88,X_87),add(X_87,inverse(X_88))) != add(inverse(X_88),X_87)
| add(multiply(X_87,X_88),add(X_87,inverse(X_88))) = add(inverse(X_88),X_87) ),
inference(resolve,[$cnf( $equal(multiply(X_88,X_87),multiply(X_87,X_88)) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
add(multiply(X_87,X_88),add(X_87,inverse(X_88))) = add(inverse(X_88),X_87),
inference(resolve,[$cnf( $equal(add(multiply(X_88,X_87),add(X_87,inverse(X_88))),add(inverse(X_88),X_87)) )],[refute_0_1111,refute_0_1116]) ).
cnf(refute_0_1118,plain,
add(multiply(X_220,X_55),add(X_220,inverse(X_55))) = add(inverse(X_55),X_220),
inference(subst,[],[refute_0_1117:[bind(X_87,$fot(X_220)),bind(X_88,$fot(X_55))]]) ).
cnf(refute_0_1119,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) = add(multiply(X_220,X_55),add(X_220,inverse(X_55))),
inference(subst,[],[refute_0_1098:[bind(X_10,$fot(add(X_220,inverse(X_55)))),bind(X_107,$fot(X_220)),bind(X_108,$fot(X_55))]]) ).
cnf(refute_0_1120,plain,
( add(multiply(X_220,X_55),add(X_220,inverse(X_55))) != add(inverse(X_55),X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) != add(multiply(X_220,X_55),add(X_220,inverse(X_55)))
| add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) = add(inverse(X_55),X_220) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(add(X_220,inverse(X_55)),multiply(X_55,X_220)))),bind(Y0,$fot(add(multiply(X_220,X_55),add(X_220,inverse(X_55))))),bind(Z0,$fot(add(inverse(X_55),X_220)))]]) ).
cnf(refute_0_1121,plain,
( add(multiply(X_220,X_55),add(X_220,inverse(X_55))) != add(inverse(X_55),X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) = add(inverse(X_55),X_220) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,X_220)),add(multiply(X_220,X_55),add(X_220,inverse(X_55)))) )],[refute_0_1119,refute_0_1120]) ).
cnf(refute_0_1122,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) = add(inverse(X_55),X_220),
inference(resolve,[$cnf( $equal(add(multiply(X_220,X_55),add(X_220,inverse(X_55))),add(inverse(X_55),X_220)) )],[refute_0_1118,refute_0_1121]) ).
cnf(refute_0_1123,plain,
multiply(X_39,add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221)))) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),
inference(subst,[],[refute_0_21:[bind(X_41,$fot(multiply(X_220,add(inverse(inverse(X_39)),X_221))))]]) ).
cnf(refute_0_1124,plain,
add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221))) = add(X_220,inverse(X_39)),
inference(subst,[],[refute_0_1019:[bind(X_10,$fot(inverse(X_39))),bind(X_11,$fot(X_220)),bind(X_70,$fot(X_221))]]) ).
cnf(refute_0_1125,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221)))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221))) != add(X_220,inverse(X_39))
| multiply(X_39,add(X_220,inverse(X_39))) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221)))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) ),[0,1],$fot(add(X_220,inverse(X_39)))]]) ).
cnf(refute_0_1126,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221)))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,add(X_220,inverse(X_39))) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221))),add(X_220,inverse(X_39))) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
multiply(X_39,add(X_220,inverse(X_39))) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_220,add(inverse(inverse(X_39)),X_221)))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) )],[refute_0_1123,refute_0_1126]) ).
cnf(refute_0_1128,plain,
multiply(X_39,add(X_220,inverse(X_39))) = multiply(X_39,X_220),
inference(subst,[],[refute_0_8:[bind(X_40,$fot(X_220))]]) ).
cnf(refute_0_1129,plain,
( multiply(X_39,add(X_220,inverse(X_39))) != multiply(X_39,X_220)
| multiply(X_39,add(X_220,inverse(X_39))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_220,inverse(X_39))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) ),[0],$fot(multiply(X_39,X_220))]]) ).
cnf(refute_0_1130,plain,
( multiply(X_39,add(X_220,inverse(X_39))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_220,inverse(X_39))),multiply(X_39,X_220)) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
inverse(inverse(X_39)) = X_39,
inference(subst,[],[refute_0_444:[bind(X_47,$fot(X_39))]]) ).
cnf(refute_0_1132,plain,
add(inverse(inverse(X_39)),X_221) = add(inverse(inverse(X_39)),X_221),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_39)),X_221))]]) ).
cnf(refute_0_1133,plain,
( add(inverse(inverse(X_39)),X_221) != add(inverse(inverse(X_39)),X_221)
| inverse(inverse(X_39)) != X_39
| add(inverse(inverse(X_39)),X_221) = add(X_39,X_221) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_39)),X_221),add(inverse(inverse(X_39)),X_221)) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_1134,plain,
( inverse(inverse(X_39)) != X_39
| add(inverse(inverse(X_39)),X_221) = add(X_39,X_221) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_39)),X_221),add(inverse(inverse(X_39)),X_221)) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
add(inverse(inverse(X_39)),X_221) = add(X_39,X_221),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_1131,refute_0_1134]) ).
cnf(refute_0_1136,plain,
multiply(X_220,add(inverse(inverse(X_39)),X_221)) = multiply(X_220,add(inverse(inverse(X_39)),X_221)),
introduced(tautology,[refl,[$fot(multiply(X_220,add(inverse(inverse(X_39)),X_221)))]]) ).
cnf(refute_0_1137,plain,
( multiply(X_220,add(inverse(inverse(X_39)),X_221)) != multiply(X_220,add(inverse(inverse(X_39)),X_221))
| add(inverse(inverse(X_39)),X_221) != add(X_39,X_221)
| multiply(X_220,add(inverse(inverse(X_39)),X_221)) = multiply(X_220,add(X_39,X_221)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_39)),X_221)),multiply(X_220,add(inverse(inverse(X_39)),X_221))) ),[1,1],$fot(add(X_39,X_221))]]) ).
cnf(refute_0_1138,plain,
( add(inverse(inverse(X_39)),X_221) != add(X_39,X_221)
| multiply(X_220,add(inverse(inverse(X_39)),X_221)) = multiply(X_220,add(X_39,X_221)) ),
inference(resolve,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_39)),X_221)),multiply(X_220,add(inverse(inverse(X_39)),X_221))) )],[refute_0_1136,refute_0_1137]) ).
cnf(refute_0_1139,plain,
multiply(X_220,add(inverse(inverse(X_39)),X_221)) = multiply(X_220,add(X_39,X_221)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_39)),X_221),add(X_39,X_221)) )],[refute_0_1135,refute_0_1138]) ).
cnf(refute_0_1140,plain,
multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) = multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),
introduced(tautology,[refl,[$fot(multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))))]]) ).
cnf(refute_0_1141,plain,
( multiply(X_220,add(inverse(inverse(X_39)),X_221)) != multiply(X_220,add(X_39,X_221))
| multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) = multiply(X_39,multiply(X_220,add(X_39,X_221))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) ),[1,1],$fot(multiply(X_220,add(X_39,X_221)))]]) ).
cnf(refute_0_1142,plain,
( multiply(X_220,add(inverse(inverse(X_39)),X_221)) != multiply(X_220,add(X_39,X_221))
| multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) = multiply(X_39,multiply(X_220,add(X_39,X_221))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) )],[refute_0_1140,refute_0_1141]) ).
cnf(refute_0_1143,plain,
multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) = multiply(X_39,multiply(X_220,add(X_39,X_221))),
inference(resolve,[$cnf( $equal(multiply(X_220,add(inverse(inverse(X_39)),X_221)),multiply(X_220,add(X_39,X_221))) )],[refute_0_1139,refute_0_1142]) ).
cnf(refute_0_1144,plain,
( multiply(X_39,X_220) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))) != multiply(X_39,multiply(X_220,add(X_39,X_221)))
| multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(X_39,X_221))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,X_220),multiply(X_39,multiply(X_220,add(X_39,X_221)))) ),[0],$fot(multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))))]]) ).
cnf(refute_0_1145,plain,
( multiply(X_39,X_220) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(X_39,X_221))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221))),multiply(X_39,multiply(X_220,add(X_39,X_221)))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
( multiply(X_39,add(X_220,inverse(X_39))) != multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))
| multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(X_39,X_221))) ),
inference(resolve,[$cnf( $equal(multiply(X_39,X_220),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) )],[refute_0_1130,refute_0_1145]) ).
cnf(refute_0_1147,plain,
multiply(X_39,X_220) = multiply(X_39,multiply(X_220,add(X_39,X_221))),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_220,inverse(X_39))),multiply(X_39,multiply(X_220,add(inverse(inverse(X_39)),X_221)))) )],[refute_0_1127,refute_0_1146]) ).
cnf(refute_0_1148,plain,
( multiply(X_39,X_220) != multiply(X_39,multiply(X_220,add(X_39,X_221)))
| multiply(X_39,multiply(X_220,add(X_39,X_221))) = multiply(X_39,X_220) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(multiply(X_39,X_220))),bind(Y0,$fot(multiply(X_39,multiply(X_220,add(X_39,X_221)))))]]) ).
cnf(refute_0_1149,plain,
multiply(X_39,multiply(X_220,add(X_39,X_221))) = multiply(X_39,X_220),
inference(resolve,[$cnf( $equal(multiply(X_39,X_220),multiply(X_39,multiply(X_220,add(X_39,X_221)))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiply(X_55,multiply(X_220,add(X_55,X_221))) = multiply(X_55,X_220),
inference(subst,[],[refute_0_1149:[bind(X_39,$fot(X_55))]]) ).
cnf(refute_0_1151,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),
introduced(tautology,[refl,[$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))))]]) ).
cnf(refute_0_1152,plain,
( multiply(X_55,multiply(X_220,add(X_55,X_221))) != multiply(X_55,X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))) ),[1,1],$fot(multiply(X_55,X_220))]]) ).
cnf(refute_0_1153,plain,
( multiply(X_55,multiply(X_220,add(X_55,X_221))) != multiply(X_55,X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221))))) )],[refute_0_1151,refute_0_1152]) ).
cnf(refute_0_1154,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(add(X_220,inverse(X_55)),multiply(X_55,X_220)),
inference(resolve,[$cnf( $equal(multiply(X_55,multiply(X_220,add(X_55,X_221))),multiply(X_55,X_220)) )],[refute_0_1150,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) != add(inverse(X_55),X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(add(X_220,inverse(X_55)),multiply(X_55,X_220))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(inverse(X_55),X_220) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))))),bind(Y0,$fot(add(add(X_220,inverse(X_55)),multiply(X_55,X_220)))),bind(Z0,$fot(add(inverse(X_55),X_220)))]]) ).
cnf(refute_0_1156,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,X_220)) != add(inverse(X_55),X_220)
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(inverse(X_55),X_220) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(add(X_220,inverse(X_55)),multiply(X_55,X_220))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) = add(inverse(X_55),X_220),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,X_220)),add(inverse(X_55),X_220)) )],[refute_0_1122,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(X_220,inverse(X_55))
| add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(inverse(X_55),X_220)
| add(inverse(X_55),X_220) = add(X_220,inverse(X_55)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(X_220,inverse(X_55))) ),[0],$fot(add(inverse(X_55),X_220))]]) ).
cnf(refute_0_1159,plain,
( add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))) != add(X_220,inverse(X_55))
| add(inverse(X_55),X_220) = add(X_220,inverse(X_55)) ),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(inverse(X_55),X_220)) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
add(inverse(X_55),X_220) = add(X_220,inverse(X_55)),
inference(resolve,[$cnf( $equal(add(add(X_220,inverse(X_55)),multiply(X_55,multiply(X_220,add(X_55,X_221)))),add(X_220,inverse(X_55))) )],[refute_0_1110,refute_0_1159]) ).
cnf(refute_0_1161,plain,
add(inverse(multiply(inverse(X_10),X_256)),X_10) = add(X_10,inverse(multiply(inverse(X_10),X_256))),
inference(subst,[],[refute_0_1160:[bind(X_220,$fot(X_10)),bind(X_55,$fot(multiply(inverse(X_10),X_256)))]]) ).
cnf(refute_0_1162,plain,
( add(X_10,inverse(multiply(inverse(X_10),X_256))) != inverse(multiply(inverse(X_10),X_256))
| add(inverse(multiply(inverse(X_10),X_256)),X_10) != add(X_10,inverse(multiply(inverse(X_10),X_256)))
| add(inverse(multiply(inverse(X_10),X_256)),X_10) = inverse(multiply(inverse(X_10),X_256)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(add(inverse(multiply(inverse(X_10),X_256)),X_10))),bind(Y0,$fot(add(X_10,inverse(multiply(inverse(X_10),X_256))))),bind(Z0,$fot(inverse(multiply(inverse(X_10),X_256))))]]) ).
cnf(refute_0_1163,plain,
( add(X_10,inverse(multiply(inverse(X_10),X_256))) != inverse(multiply(inverse(X_10),X_256))
| add(inverse(multiply(inverse(X_10),X_256)),X_10) = inverse(multiply(inverse(X_10),X_256)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_10),X_256)),X_10),add(X_10,inverse(multiply(inverse(X_10),X_256)))) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
add(inverse(multiply(inverse(X_10),X_256)),X_10) = inverse(multiply(inverse(X_10),X_256)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(inverse(X_10),X_256))),inverse(multiply(inverse(X_10),X_256))) )],[refute_0_1032,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( add(X_10,inverse(X_256)) != add(inverse(multiply(inverse(X_10),X_256)),X_10)
| add(inverse(multiply(inverse(X_10),X_256)),X_10) != inverse(multiply(inverse(X_10),X_256))
| add(X_10,inverse(X_256)) = inverse(multiply(inverse(X_10),X_256)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_10,inverse(X_256)),inverse(multiply(inverse(X_10),X_256))) ),[0],$fot(add(inverse(multiply(inverse(X_10),X_256)),X_10))]]) ).
cnf(refute_0_1166,plain,
( add(X_10,inverse(X_256)) != add(inverse(multiply(inverse(X_10),X_256)),X_10)
| add(X_10,inverse(X_256)) = inverse(multiply(inverse(X_10),X_256)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_10),X_256)),X_10),inverse(multiply(inverse(X_10),X_256))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
add(X_10,inverse(X_256)) = inverse(multiply(inverse(X_10),X_256)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_256)),add(inverse(multiply(inverse(X_10),X_256)),X_10)) )],[refute_0_1031,refute_0_1166]) ).
cnf(refute_0_1168,plain,
( add(X_10,inverse(X_256)) != inverse(multiply(inverse(X_10),X_256))
| inverse(multiply(inverse(X_10),X_256)) = add(X_10,inverse(X_256)) ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(add(X_10,inverse(X_256)))),bind(Y0,$fot(inverse(multiply(inverse(X_10),X_256))))]]) ).
cnf(refute_0_1169,plain,
inverse(multiply(inverse(X_10),X_256)) = add(X_10,inverse(X_256)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_256)),inverse(multiply(inverse(X_10),X_256))) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
inverse(multiply(inverse(X_47),X_98)) = add(X_47,inverse(X_98)),
inference(subst,[],[refute_0_1169:[bind(X_10,$fot(X_47)),bind(X_256,$fot(X_98))]]) ).
cnf(refute_0_1171,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))
| inverse(multiply(inverse(X_47),X_98)) != add(X_47,inverse(X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) ),[1,0],$fot(add(X_47,inverse(X_98)))]]) ).
cnf(refute_0_1172,plain,
( inverse(multiply(inverse(X_47),X_98)) != add(X_47,inverse(X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) )],[refute_0_977,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_47),X_98)),add(X_47,inverse(X_98))) )],[refute_0_1170,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(add(X_47,inverse(X_98)),inverse(X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))),bind(Y0,$fot(multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))),bind(Z0,$fot(multiply(add(X_47,inverse(X_98)),inverse(X_47))))]]) ).
cnf(refute_0_1175,plain,
( multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(add(X_47,inverse(X_98)),inverse(X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47))))) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(add(X_47,inverse(X_98)),inverse(X_47)),
inference(resolve,[$cnf( $equal(multiply(add(X_47,inverse(X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(add(X_47,inverse(X_98)),inverse(X_47))) )],[refute_0_1002,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( multiply(add(X_47,inverse(X_98)),inverse(X_47)) != multiply(inverse(X_47),inverse(X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(add(X_47,inverse(X_98)),inverse(X_47))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(X_47),inverse(X_98)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))))),bind(Y0,$fot(multiply(add(X_47,inverse(X_98)),inverse(X_47)))),bind(Z0,$fot(multiply(inverse(X_47),inverse(X_98))))]]) ).
cnf(refute_0_1178,plain,
( multiply(add(X_47,inverse(X_98)),inverse(X_47)) != multiply(inverse(X_47),inverse(X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(X_47),inverse(X_98)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(add(X_47,inverse(X_98)),inverse(X_47))) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) = multiply(inverse(X_47),inverse(X_98)),
inference(resolve,[$cnf( $equal(multiply(add(X_47,inverse(X_98)),inverse(X_47)),multiply(inverse(X_47),inverse(X_98))) )],[refute_0_998,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != multiply(inverse(X_47),inverse(X_98))
| multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != inverse(add(X_98,X_47))
| multiply(inverse(X_47),inverse(X_98)) = inverse(add(X_98,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),inverse(add(X_98,X_47))) ),[0],$fot(multiply(inverse(X_47),inverse(X_98)))]]) ).
cnf(refute_0_1181,plain,
( multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))) != inverse(add(X_98,X_47))
| multiply(inverse(X_47),inverse(X_98)) = inverse(add(X_98,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),multiply(inverse(X_47),inverse(X_98))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
multiply(inverse(X_47),inverse(X_98)) = inverse(add(X_98,X_47)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_47),X_98)),add(inverse(X_47),inverse(add(X_98,X_47)))),inverse(add(X_98,X_47))) )],[refute_0_645,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiply(inverse(a),inverse(b)) = inverse(add(b,a)),
inference(subst,[],[refute_0_1182:[bind(X_47,$fot(a)),bind(X_98,$fot(b))]]) ).
cnf(refute_0_1184,plain,
( multiply(inverse(a),inverse(b)) != inverse(add(b,a))
| inverse(add(b,a)) != inverse(add(a,b))
| multiply(inverse(a),inverse(b)) = inverse(add(a,b)) ),
inference(subst,[],[refute_0_121:[bind(X0,$fot(multiply(inverse(a),inverse(b)))),bind(Y0,$fot(inverse(add(b,a)))),bind(Z0,$fot(inverse(add(a,b))))]]) ).
cnf(refute_0_1185,plain,
( inverse(add(b,a)) != inverse(add(a,b))
| multiply(inverse(a),inverse(b)) = inverse(add(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),inverse(add(b,a))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
multiply(inverse(a),inverse(b)) = inverse(add(a,b)),
inference(resolve,[$cnf( $equal(inverse(add(b,a)),inverse(add(a,b))) )],[refute_0_989,refute_0_1185]) ).
cnf(refute_0_1187,plain,
( multiply(inverse(a),inverse(b)) != inverse(add(a,b))
| inverse(add(a,b)) != inverse(add(a,b))
| inverse(add(a,b)) = multiply(inverse(a),inverse(b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(a,b)),multiply(inverse(a),inverse(b))) ),[1],$fot(inverse(add(a,b)))]]) ).
cnf(refute_0_1188,plain,
( inverse(add(a,b)) != inverse(add(a,b))
| inverse(add(a,b)) = multiply(inverse(a),inverse(b)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(a),inverse(b)),inverse(add(a,b))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
inverse(add(a,b)) != inverse(add(a,b)),
inference(resolve,[$cnf( $equal(inverse(add(a,b)),multiply(inverse(a),inverse(b))) )],[refute_0_1188,prove_c_inverse_is_d]) ).
cnf(refute_0_1190,plain,
inverse(add(a,b)) = inverse(add(a,b)),
introduced(tautology,[refl,[$fot(inverse(add(a,b)))]]) ).
cnf(refute_0_1191,plain,
$false,
inference(resolve,[$cnf( $equal(inverse(add(a,b)),inverse(add(a,b))) )],[refute_0_1190,refute_0_1189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO014-4 : TPTP v8.1.0. Released v1.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 1 22:08:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.24/2.45 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.24/2.45
% 2.24/2.45 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.41/2.56
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