TSTP Solution File: BOO015-4 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 23:44:39 EDT 2022
% Result : Unsatisfiable 13.66s 13.85s
% Output : CNFRefutation 13.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 169
% Number of leaves : 426
% Syntax : Number of clauses : 2051 (1055 unt; 0 nHn; 958 RR)
% Number of literals : 3482 (3481 equ;1433 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 : 4697 ( 273 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(multiply(a,b)) != add(inverse(a),inverse(b)) ).
cnf(refute_0_0,plain,
add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),add(X_10,inverse(X_10))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_2,plain,
add(X_10,inverse(X_10)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_3,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),add(X_10,inverse(X_10)))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity) ),
introduced(tautology,[equality,[$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_4,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( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),add(X_10,inverse(X_10)))) )],[refute_0_1,refute_0_4]) ).
cnf(refute_0_6,plain,
multiply(add(X_10,X_11),multiplicative_identity) = add(X_10,X_11),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_7,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_8,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( $equal(multiply(add(X_10,X_11),multiplicative_identity),add(X_10,X_11)) )],[refute_0_6,refute_0_7]) ).
cnf(refute_0_9,plain,
add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),multiplicative_identity)) )],[refute_0_5,refute_0_8]) ).
cnf(refute_0_10,plain,
add(X_13,multiply(X_13,inverse(X_13))) = add(X_13,X_13),
inference(subst,[],[refute_0_9:[bind(X_10,$fot(X_13)),bind(X_11,$fot(X_13))]]) ).
cnf(refute_0_11,plain,
multiply(X_13,inverse(X_13)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_12,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_13,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( $equal(multiply(X_13,inverse(X_13)),additive_identity) )],[refute_0_11,refute_0_12]) ).
cnf(refute_0_14,plain,
add(X_13,additive_identity) = add(X_13,X_13),
inference(resolve,[$cnf( $equal(add(X_13,multiply(X_13,inverse(X_13))),add(X_13,X_13)) )],[refute_0_10,refute_0_13]) ).
cnf(refute_0_15,plain,
add(X_13,additive_identity) = X_13,
inference(subst,[],[additive_id1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_16,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_17,plain,
( add(X_13,additive_identity) != add(X_13,X_13)
| X_13 = add(X_13,X_13) ),
inference(resolve,[$cnf( $equal(add(X_13,additive_identity),X_13) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
X_13 = add(X_13,X_13),
inference(resolve,[$cnf( $equal(add(X_13,additive_identity),add(X_13,X_13)) )],[refute_0_14,refute_0_17]) ).
cnf(refute_0_19,plain,
Y = add(Y,Y),
inference(subst,[],[refute_0_18:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_20,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_21,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_22,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_20,refute_0_21]) ).
cnf(refute_0_23,plain,
( Y != add(Y,Y)
| add(Y,Y) = Y ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(Y)),bind(Y0,$fot(add(Y,Y)))]]) ).
cnf(refute_0_24,plain,
add(Y,Y) = Y,
inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_19,refute_0_23]) ).
cnf(refute_0_25,plain,
( add(Y,Y) != Y
| add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_26,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( $equal(add(Y,Y),Y) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(multiplicative_identity))]]) ).
cnf(refute_0_29,plain,
multiply(X_39,multiplicative_identity) = X_39,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_30,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))
| multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),X_39) ),
introduced(tautology,[equality,[$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_31,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( $equal(multiply(X_39,multiplicative_identity),X_39) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = add(multiply(X_39,X_40),X_39),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),multiply(X_39,multiplicative_identity))) )],[refute_0_28,refute_0_31]) ).
cnf(refute_0_33,plain,
add(X_13,multiply(multiplicative_identity,inverse(X_13))) = add(X_13,multiplicative_identity),
inference(subst,[],[refute_0_9:[bind(X_10,$fot(X_13)),bind(X_11,$fot(multiplicative_identity))]]) ).
cnf(refute_0_34,plain,
multiply(X,multiplicative_identity) = multiply(multiplicative_identity,X),
inference(subst,[],[commutativity_of_multiply:[bind(Y,$fot(multiplicative_identity))]]) ).
cnf(refute_0_35,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_36,plain,
( multiply(X,multiplicative_identity) != X
| multiply(multiplicative_identity,X) = X ),
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),multiply(multiplicative_identity,X)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
multiply(multiplicative_identity,X) = X,
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),X) )],[multiplicative_id1,refute_0_36]) ).
cnf(refute_0_38,plain,
multiply(multiplicative_identity,inverse(X_13)) = inverse(X_13),
inference(subst,[],[refute_0_37:[bind(X,$fot(inverse(X_13)))]]) ).
cnf(refute_0_39,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_40,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( $equal(multiply(multiplicative_identity,inverse(X_13)),inverse(X_13)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
add(X_13,inverse(X_13)) = add(X_13,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_13,multiply(multiplicative_identity,inverse(X_13))),add(X_13,multiplicative_identity)) )],[refute_0_33,refute_0_40]) ).
cnf(refute_0_42,plain,
add(X_13,inverse(X_13)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_43,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_44,plain,
( add(X_13,inverse(X_13)) != add(X_13,multiplicative_identity)
| multiplicative_identity = add(X_13,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_13,inverse(X_13)),multiplicative_identity) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
multiplicative_identity = add(X_13,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_13,inverse(X_13)),add(X_13,multiplicative_identity)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( multiplicative_identity != add(X_13,multiplicative_identity)
| add(X_13,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_13,multiplicative_identity)))]]) ).
cnf(refute_0_47,plain,
add(X_13,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_13,multiplicative_identity)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
add(X_40,multiplicative_identity) = multiplicative_identity,
inference(subst,[],[refute_0_47:[bind(X_13,$fot(X_40))]]) ).
cnf(refute_0_49,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,add(X_40,multiplicative_identity)),
introduced(tautology,[refl,[$fot(multiply(X_39,add(X_40,multiplicative_identity)))]]) ).
cnf(refute_0_50,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != multiply(X_39,add(X_40,multiplicative_identity))
| add(X_40,multiplicative_identity) != multiplicative_identity
| multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity) ),
introduced(tautology,[equality,[$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_51,plain,
( add(X_40,multiplicative_identity) != multiplicative_identity
| multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),multiply(X_39,add(X_40,multiplicative_identity))) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = multiply(X_39,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_40,multiplicative_identity),multiplicative_identity) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_54,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_22,refute_0_53]) ).
cnf(refute_0_55,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != multiply(X_39,multiplicative_identity)
| multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = X_39 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_56,plain,
( multiply(X_39,multiplicative_identity) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) = X_39 ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),multiply(X_39,multiplicative_identity)) )],[refute_0_52,refute_0_55]) ).
cnf(refute_0_57,plain,
multiply(X_39,add(X_40,multiplicative_identity)) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_39,multiplicative_identity),X_39) )],[refute_0_29,refute_0_56]) ).
cnf(refute_0_58,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != X_39
| multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),X_39)
| X_39 = add(multiply(X_39,X_40),X_39) ),
introduced(tautology,[equality,[$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_59,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( $equal(multiply(X_39,add(X_40,multiplicative_identity)),X_39) )],[refute_0_57,refute_0_58]) ).
cnf(refute_0_60,plain,
add(X_39,multiply(X_39,X_40)) = multiply(X_39,add(X_39,X_40)),
inference(subst,[],[refute_0_27:[bind(Y,$fot(X_39)),bind(Z,$fot(X_40))]]) ).
cnf(refute_0_61,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_62,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_61]) ).
cnf(refute_0_63,plain,
add(multiply(X_39,X_40),X_39) = add(X_39,multiply(X_39,X_40)),
inference(subst,[],[refute_0_62:[bind(X,$fot(X_39)),bind(Y,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_64,plain,
( add(X_39,multiply(X_39,X_40)) != multiply(X_39,add(X_39,X_40))
| add(multiply(X_39,X_40),X_39) != add(X_39,multiply(X_39,X_40))
| add(multiply(X_39,X_40),X_39) = multiply(X_39,add(X_39,X_40)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_65,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( $equal(add(multiply(X_39,X_40),X_39),add(X_39,multiply(X_39,X_40))) )],[refute_0_63,refute_0_64]) ).
cnf(refute_0_66,plain,
add(multiply(X_39,X_40),X_39) = multiply(X_39,add(X_39,X_40)),
inference(resolve,[$cnf( $equal(add(X_39,multiply(X_39,X_40)),multiply(X_39,add(X_39,X_40))) )],[refute_0_60,refute_0_65]) ).
cnf(refute_0_67,plain,
( X_39 != add(multiply(X_39,X_40),X_39)
| add(multiply(X_39,X_40),X_39) != multiply(X_39,add(X_39,X_40))
| X_39 = multiply(X_39,add(X_39,X_40)) ),
introduced(tautology,[equality,[$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_68,plain,
( X_39 != add(multiply(X_39,X_40),X_39)
| X_39 = multiply(X_39,add(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_40),X_39),multiply(X_39,add(X_39,X_40))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
( multiply(X_39,add(X_40,multiplicative_identity)) != add(multiply(X_39,X_40),X_39)
| X_39 = multiply(X_39,add(X_39,X_40)) ),
inference(resolve,[$cnf( $equal(X_39,add(multiply(X_39,X_40),X_39)) )],[refute_0_59,refute_0_68]) ).
cnf(refute_0_70,plain,
X_39 = multiply(X_39,add(X_39,X_40)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,multiplicative_identity)),add(multiply(X_39,X_40),X_39)) )],[refute_0_32,refute_0_69]) ).
cnf(refute_0_71,plain,
( X_39 != multiply(X_39,add(X_39,X_40))
| multiply(X_39,add(X_39,X_40)) = X_39 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_39)),bind(Y0,$fot(multiply(X_39,add(X_39,X_40))))]]) ).
cnf(refute_0_72,plain,
multiply(X_39,add(X_39,X_40)) = X_39,
inference(resolve,[$cnf( $equal(X_39,multiply(X_39,add(X_39,X_40))) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
multiply(Y,add(Y,Z)) = Y,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(Y)),bind(X_40,$fot(Z))]]) ).
cnf(refute_0_74,plain,
( multiply(Y,add(Y,Z)) != Y
| add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) ),[1],$fot(Y)]]) ).
cnf(refute_0_75,plain,
( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_73,refute_0_74]) ).
cnf(refute_0_76,plain,
add(Y,multiply(Y,Z)) = Y,
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_27,refute_0_75]) ).
cnf(refute_0_77,plain,
add(inverse(multiply(X_431,X_432)),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) = inverse(multiply(X_431,X_432)),
inference(subst,[],[refute_0_76:[bind(Y,$fot(inverse(multiply(X_431,X_432)))),bind(Z,$fot(add(X_431,inverse(X_432))))]]) ).
cnf(refute_0_78,plain,
add(X,multiply(multiply(inverse(X),X_19),Z)) = multiply(add(X,multiply(inverse(X),X_19)),add(X,Z)),
inference(subst,[],[distributivity1:[bind(Y,$fot(multiply(inverse(X),X_19)))]]) ).
cnf(refute_0_79,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,$fot(X_12))]]) ).
cnf(refute_0_80,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(add(X_10,inverse(X_10)),add(X_10,X_12))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)) ),
introduced(tautology,[equality,[$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_81,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( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_2,refute_0_80]) ).
cnf(refute_0_82,plain,
add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(add(X_10,inverse(X_10)),add(X_10,X_12))) )],[refute_0_79,refute_0_81]) ).
cnf(refute_0_83,plain,
multiply(multiplicative_identity,add(X_10,X_12)) = add(X_10,X_12),
inference(subst,[],[refute_0_37:[bind(X,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_84,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_85,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( $equal(multiply(multiplicative_identity,add(X_10,X_12)),add(X_10,X_12)) )],[refute_0_83,refute_0_84]) ).
cnf(refute_0_86,plain,
add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(multiplicative_identity,add(X_10,X_12))) )],[refute_0_82,refute_0_85]) ).
cnf(refute_0_87,plain,
add(X,multiply(inverse(X),X_19)) = add(X,X_19),
inference(subst,[],[refute_0_86:[bind(X_10,$fot(X)),bind(X_12,$fot(X_19))]]) ).
cnf(refute_0_88,plain,
( add(X,multiply(multiply(inverse(X),X_19),Z)) != multiply(add(X,multiply(inverse(X),X_19)),add(X,Z))
| add(X,multiply(inverse(X),X_19)) != add(X,X_19)
| add(X,multiply(multiply(inverse(X),X_19),Z)) = multiply(add(X,X_19),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_19),Z)),multiply(add(X,multiply(inverse(X),X_19)),add(X,Z))) ),[1,0],$fot(add(X,X_19))]]) ).
cnf(refute_0_89,plain,
( add(X,multiply(multiply(inverse(X),X_19),Z)) != multiply(add(X,multiply(inverse(X),X_19)),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_19),Z)) = multiply(add(X,X_19),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),X_19)),add(X,X_19)) )],[refute_0_87,refute_0_88]) ).
cnf(refute_0_90,plain,
add(X,multiply(multiply(inverse(X),X_19),Z)) = multiply(add(X,X_19),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_19),Z)),multiply(add(X,multiply(inverse(X),X_19)),add(X,Z))) )],[refute_0_78,refute_0_89]) ).
cnf(refute_0_91,plain,
( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
| multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).
cnf(refute_0_92,plain,
multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity1,refute_0_91]) ).
cnf(refute_0_93,plain,
multiply(add(X,X_19),add(X,Z)) = add(X,multiply(X_19,Z)),
inference(subst,[],[refute_0_92:[bind(Y,$fot(X_19))]]) ).
cnf(refute_0_94,plain,
( multiply(add(X,X_19),add(X,Z)) != add(X,multiply(X_19,Z))
| add(X,multiply(multiply(inverse(X),X_19),Z)) != multiply(add(X,X_19),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_19),Z)) = add(X,multiply(X_19,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_19),Z)),multiply(add(X,X_19),add(X,Z))) ),[1],$fot(add(X,multiply(X_19,Z)))]]) ).
cnf(refute_0_95,plain,
( add(X,multiply(multiply(inverse(X),X_19),Z)) != multiply(add(X,X_19),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_19),Z)) = add(X,multiply(X_19,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_19),add(X,Z)),add(X,multiply(X_19,Z))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
add(X,multiply(multiply(inverse(X),X_19),Z)) = add(X,multiply(X_19,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_19),Z)),multiply(add(X,X_19),add(X,Z))) )],[refute_0_90,refute_0_95]) ).
cnf(refute_0_97,plain,
add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))) = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))),
inference(subst,[],[refute_0_96:[bind(X,$fot(X_424)),bind(Z,$fot(inverse(multiply(X_426,inverse(X_424))))),bind(X_19,$fot(X_426))]]) ).
cnf(refute_0_98,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,$fot(X_41))]]) ).
cnf(refute_0_99,plain,
multiply(X_39,inverse(X_39)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_100,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_101,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( $equal(multiply(X_39,inverse(X_39)),additive_identity) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(X_39,add(inverse(X_39),X_41)) = add(additive_identity,multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),X_41)),add(multiply(X_39,inverse(X_39)),multiply(X_39,X_41))) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
add(X,additive_identity) = add(additive_identity,X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_104,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_105,plain,
( add(X,additive_identity) != X
| add(additive_identity,X) = X ),
inference(resolve,[$cnf( $equal(add(X,additive_identity),add(additive_identity,X)) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
add(additive_identity,X) = X,
inference(resolve,[$cnf( $equal(add(X,additive_identity),X) )],[additive_id1,refute_0_105]) ).
cnf(refute_0_107,plain,
add(additive_identity,multiply(X_39,X_41)) = multiply(X_39,X_41),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(X_39,X_41)))]]) ).
cnf(refute_0_108,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_109,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( $equal(add(additive_identity,multiply(X_39,X_41)),multiply(X_39,X_41)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
multiply(X_39,add(inverse(X_39),X_41)) = multiply(X_39,X_41),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),X_41)),add(additive_identity,multiply(X_39,X_41))) )],[refute_0_102,refute_0_109]) ).
cnf(refute_0_111,plain,
multiply(X_92,add(inverse(X_92),multiply(Y,inverse(X_92)))) = multiply(X_92,multiply(Y,inverse(X_92))),
inference(subst,[],[refute_0_110:[bind(X_39,$fot(X_92)),bind(X_41,$fot(multiply(Y,inverse(X_92))))]]) ).
cnf(refute_0_112,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),add(Z,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Z))]]) ).
cnf(refute_0_113,plain,
Z = add(Z,Z),
inference(subst,[],[refute_0_18:[bind(X_13,$fot(Z))]]) ).
cnf(refute_0_114,plain,
( Z != add(Z,Z)
| add(Z,Z) = Z ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(Z)),bind(Y0,$fot(add(Z,Z)))]]) ).
cnf(refute_0_115,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
( add(Z,Z) != Z
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_117,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( $equal(add(Z,Z),Z) )],[refute_0_115,refute_0_116]) ).
cnf(refute_0_118,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) )],[refute_0_112,refute_0_117]) ).
cnf(refute_0_119,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_120,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_119]) ).
cnf(refute_0_121,plain,
multiply(add(Z,Y),Z) = multiply(Z,add(Z,Y)),
inference(subst,[],[refute_0_120:[bind(X,$fot(Z)),bind(Y,$fot(add(Z,Y)))]]) ).
cnf(refute_0_122,plain,
( multiply(add(Z,Y),Z) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) ),[1],$fot(multiply(Z,add(Z,Y)))]]) ).
cnf(refute_0_123,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,Y),Z),multiply(Z,add(Z,Y))) )],[refute_0_121,refute_0_122]) ).
cnf(refute_0_124,plain,
add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) )],[refute_0_118,refute_0_123]) ).
cnf(refute_0_125,plain,
multiply(Z,add(Z,Y)) = Z,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(Z)),bind(X_40,$fot(Y))]]) ).
cnf(refute_0_126,plain,
( multiply(Z,add(Z,Y)) != Z
| add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) ),[1],$fot(Z)]]) ).
cnf(refute_0_127,plain,
( add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,Y)),Z) )],[refute_0_125,refute_0_126]) ).
cnf(refute_0_128,plain,
add(Z,multiply(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) )],[refute_0_124,refute_0_127]) ).
cnf(refute_0_129,plain,
add(inverse(X_92),multiply(Y,inverse(X_92))) = inverse(X_92),
inference(subst,[],[refute_0_128:[bind(Z,$fot(inverse(X_92)))]]) ).
cnf(refute_0_130,plain,
( multiply(X_92,add(inverse(X_92),multiply(Y,inverse(X_92)))) != multiply(X_92,multiply(Y,inverse(X_92)))
| add(inverse(X_92),multiply(Y,inverse(X_92))) != inverse(X_92)
| multiply(X_92,inverse(X_92)) = multiply(X_92,multiply(Y,inverse(X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,add(inverse(X_92),multiply(Y,inverse(X_92)))),multiply(X_92,multiply(Y,inverse(X_92)))) ),[0,1],$fot(inverse(X_92))]]) ).
cnf(refute_0_131,plain,
( multiply(X_92,add(inverse(X_92),multiply(Y,inverse(X_92)))) != multiply(X_92,multiply(Y,inverse(X_92)))
| multiply(X_92,inverse(X_92)) = multiply(X_92,multiply(Y,inverse(X_92))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_92),multiply(Y,inverse(X_92))),inverse(X_92)) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
multiply(X_92,inverse(X_92)) = multiply(X_92,multiply(Y,inverse(X_92))),
inference(resolve,[$cnf( $equal(multiply(X_92,add(inverse(X_92),multiply(Y,inverse(X_92)))),multiply(X_92,multiply(Y,inverse(X_92)))) )],[refute_0_111,refute_0_131]) ).
cnf(refute_0_133,plain,
multiply(X_92,inverse(X_92)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_92))]]) ).
cnf(refute_0_134,plain,
( multiply(X_92,inverse(X_92)) != multiply(X_92,multiply(Y,inverse(X_92)))
| multiply(X_92,inverse(X_92)) != additive_identity
| additive_identity = multiply(X_92,multiply(Y,inverse(X_92))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,inverse(X_92)),multiply(X_92,multiply(Y,inverse(X_92)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_135,plain,
( multiply(X_92,inverse(X_92)) != multiply(X_92,multiply(Y,inverse(X_92)))
| additive_identity = multiply(X_92,multiply(Y,inverse(X_92))) ),
inference(resolve,[$cnf( $equal(multiply(X_92,inverse(X_92)),additive_identity) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
additive_identity = multiply(X_92,multiply(Y,inverse(X_92))),
inference(resolve,[$cnf( $equal(multiply(X_92,inverse(X_92)),multiply(X_92,multiply(Y,inverse(X_92)))) )],[refute_0_132,refute_0_135]) ).
cnf(refute_0_137,plain,
additive_identity = multiply(multiply(X_252,X_251),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251)))),
inference(subst,[],[refute_0_136:[bind(Y,$fot(inverse(multiply(X_251,X_252)))),bind(X_92,$fot(multiply(X_252,X_251)))]]) ).
cnf(refute_0_138,plain,
multiply(X_92,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))) = multiply(X_92,inverse(multiply(inverse(X_92),X_72))),
inference(subst,[],[refute_0_110:[bind(X_39,$fot(X_92)),bind(X_41,$fot(inverse(multiply(inverse(X_92),X_72))))]]) ).
cnf(refute_0_139,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_140,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_141,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_22:[bind(X0,$fot(add(X_11,X_10))),bind(Y0,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_142,plain,
add(X_10,X_11) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(add(X_11,X_10),add(X_10,X_11)) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
( add(X_10,X_11) != add(X_11,X_10)
| add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_11,X_10),add(X_10,X_12)) ),
introduced(tautology,[equality,[$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_144,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( $equal(add(X_10,X_11),add(X_11,X_10)) )],[refute_0_142,refute_0_143]) ).
cnf(refute_0_145,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_11,X_10),add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_139,refute_0_144]) ).
cnf(refute_0_146,plain,
add(inverse(X_63),multiply(X_63,X_64)) = multiply(add(X_63,inverse(X_63)),add(inverse(X_63),X_64)),
inference(subst,[],[refute_0_145:[bind(X_10,$fot(inverse(X_63))),bind(X_11,$fot(X_63)),bind(X_12,$fot(X_64))]]) ).
cnf(refute_0_147,plain,
add(X_63,inverse(X_63)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_63))]]) ).
cnf(refute_0_148,plain,
( add(X_63,inverse(X_63)) != multiplicative_identity
| add(inverse(X_63),multiply(X_63,X_64)) != multiply(add(X_63,inverse(X_63)),add(inverse(X_63),X_64))
| add(inverse(X_63),multiply(X_63,X_64)) = multiply(multiplicative_identity,add(inverse(X_63),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_63),multiply(X_63,X_64)),multiply(add(X_63,inverse(X_63)),add(inverse(X_63),X_64))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_149,plain,
( add(inverse(X_63),multiply(X_63,X_64)) != multiply(add(X_63,inverse(X_63)),add(inverse(X_63),X_64))
| add(inverse(X_63),multiply(X_63,X_64)) = multiply(multiplicative_identity,add(inverse(X_63),X_64)) ),
inference(resolve,[$cnf( $equal(add(X_63,inverse(X_63)),multiplicative_identity) )],[refute_0_147,refute_0_148]) ).
cnf(refute_0_150,plain,
add(inverse(X_63),multiply(X_63,X_64)) = multiply(multiplicative_identity,add(inverse(X_63),X_64)),
inference(resolve,[$cnf( $equal(add(inverse(X_63),multiply(X_63,X_64)),multiply(add(X_63,inverse(X_63)),add(inverse(X_63),X_64))) )],[refute_0_146,refute_0_149]) ).
cnf(refute_0_151,plain,
multiply(multiplicative_identity,add(inverse(X_63),X_64)) = add(inverse(X_63),X_64),
inference(subst,[],[refute_0_37:[bind(X,$fot(add(inverse(X_63),X_64)))]]) ).
cnf(refute_0_152,plain,
( multiply(multiplicative_identity,add(inverse(X_63),X_64)) != add(inverse(X_63),X_64)
| add(inverse(X_63),multiply(X_63,X_64)) != multiply(multiplicative_identity,add(inverse(X_63),X_64))
| add(inverse(X_63),multiply(X_63,X_64)) = add(inverse(X_63),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_63),multiply(X_63,X_64)),multiply(multiplicative_identity,add(inverse(X_63),X_64))) ),[1],$fot(add(inverse(X_63),X_64))]]) ).
cnf(refute_0_153,plain,
( add(inverse(X_63),multiply(X_63,X_64)) != multiply(multiplicative_identity,add(inverse(X_63),X_64))
| add(inverse(X_63),multiply(X_63,X_64)) = add(inverse(X_63),X_64) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(inverse(X_63),X_64)),add(inverse(X_63),X_64)) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
add(inverse(X_63),multiply(X_63,X_64)) = add(inverse(X_63),X_64),
inference(resolve,[$cnf( $equal(add(inverse(X_63),multiply(X_63,X_64)),multiply(multiplicative_identity,add(inverse(X_63),X_64))) )],[refute_0_150,refute_0_153]) ).
cnf(refute_0_155,plain,
add(inverse(X_65),multiply(X_65,add(X_22,X_65))) = add(inverse(X_65),add(X_22,X_65)),
inference(subst,[],[refute_0_154:[bind(X_63,$fot(X_65)),bind(X_64,$fot(add(X_22,X_65)))]]) ).
cnf(refute_0_156,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),add(X_10,additive_identity)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_157,plain,
add(X_10,additive_identity) = X_10,
inference(subst,[],[additive_id1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_158,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),add(X_10,additive_identity))
| add(X_10,additive_identity) != X_10
| add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10) ),
introduced(tautology,[equality,[$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_159,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( $equal(add(X_10,additive_identity),X_10) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),add(X_10,additive_identity))) )],[refute_0_156,refute_0_159]) ).
cnf(refute_0_161,plain,
multiply(add(X_10,X_11),X_10) = multiply(X_10,add(X_10,X_11)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_10)),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_162,plain,
( multiply(add(X_10,X_11),X_10) != multiply(X_10,add(X_10,X_11))
| add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),X_10)
| add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)) ),
introduced(tautology,[equality,[$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_163,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( $equal(multiply(add(X_10,X_11),X_10),multiply(X_10,add(X_10,X_11))) )],[refute_0_161,refute_0_162]) ).
cnf(refute_0_164,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),X_10)) )],[refute_0_160,refute_0_163]) ).
cnf(refute_0_165,plain,
add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_21,X_22)),
inference(subst,[],[refute_0_164:[bind(X_10,$fot(X_21)),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_166,plain,
add(X_22,X_21) = add(X_21,X_22),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_22)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_167,plain,
( add(X_22,X_21) != add(X_21,X_22)
| add(X_21,X_22) = add(X_22,X_21) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_22,X_21))),bind(Y0,$fot(add(X_21,X_22)))]]) ).
cnf(refute_0_168,plain,
add(X_21,X_22) = add(X_22,X_21),
inference(resolve,[$cnf( $equal(add(X_22,X_21),add(X_21,X_22)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( add(X_21,X_22) != add(X_22,X_21)
| add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_21,X_22))
| add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_22,X_21)) ),
introduced(tautology,[equality,[$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_170,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( $equal(add(X_21,X_22),add(X_22,X_21)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
add(X_21,multiply(X_22,additive_identity)) = multiply(X_21,add(X_22,X_21)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_21,X_22))) )],[refute_0_165,refute_0_170]) ).
cnf(refute_0_172,plain,
add(X_21,additive_identity) = X_21,
inference(subst,[],[additive_id1:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_173,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_164:[bind(X_10,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_174,plain,
add(multiply(additive_identity,additive_identity),Y) = add(Y,multiply(additive_identity,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_175,plain,
add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,add(X_21,additive_identity)),
inference(subst,[],[refute_0_164:[bind(X_10,$fot(X_21)),bind(X_11,$fot(additive_identity))]]) ).
cnf(refute_0_176,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_177,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( $equal(add(X_21,additive_identity),X_21) )],[refute_0_172,refute_0_176]) ).
cnf(refute_0_178,plain,
add(X_21,multiply(additive_identity,additive_identity)) = multiply(X_21,X_21),
inference(resolve,[$cnf( $equal(add(X_21,multiply(additive_identity,additive_identity)),multiply(X_21,add(X_21,additive_identity))) )],[refute_0_175,refute_0_177]) ).
cnf(refute_0_179,plain,
add(Y,multiply(additive_identity,additive_identity)) = multiply(Y,Y),
inference(subst,[],[refute_0_178:[bind(X_21,$fot(Y))]]) ).
cnf(refute_0_180,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_181,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( $equal(add(Y,multiply(additive_identity,additive_identity)),multiply(Y,Y)) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),Y),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_174,refute_0_181]) ).
cnf(refute_0_183,plain,
add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),
inference(subst,[],[refute_0_182:[bind(Y,$fot(multiply(X_11,additive_identity)))]]) ).
cnf(refute_0_184,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_185,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( $equal(add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity))) )],[refute_0_183,refute_0_184]) ).
cnf(refute_0_186,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))) )],[refute_0_173,refute_0_185]) ).
cnf(refute_0_187,plain,
add(X_11,additive_identity) = X_11,
inference(subst,[],[additive_id1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_188,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_11,additive_identity)))]]) ).
cnf(refute_0_189,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$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_190,plain,
( add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_188,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(add(X_11,additive_identity),X_11) )],[refute_0_187,refute_0_190]) ).
cnf(refute_0_192,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_193,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity2,refute_0_192]) ).
cnf(refute_0_194,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(subst,[],[refute_0_193:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_195,plain,
add(multiply(additive_identity,X_24),Y) = add(Y,multiply(additive_identity,X_24)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,X_24)))]]) ).
cnf(refute_0_196,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(add(X_10,additive_identity),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_197,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_198,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( $equal(add(X_10,additive_identity),X_10) )],[refute_0_157,refute_0_197]) ).
cnf(refute_0_199,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(add(X_10,additive_identity),add(X_10,X_12))) )],[refute_0_196,refute_0_198]) ).
cnf(refute_0_200,plain,
add(Y,multiply(additive_identity,X_24)) = multiply(Y,add(Y,X_24)),
inference(subst,[],[refute_0_199:[bind(X_10,$fot(Y)),bind(X_12,$fot(X_24))]]) ).
cnf(refute_0_201,plain,
( add(Y,multiply(additive_identity,X_24)) != multiply(Y,add(Y,X_24))
| add(multiply(additive_identity,X_24),Y) != add(Y,multiply(additive_identity,X_24))
| add(multiply(additive_identity,X_24),Y) = multiply(Y,add(Y,X_24)) ),
introduced(tautology,[equality,[$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_202,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( $equal(add(Y,multiply(additive_identity,X_24)),multiply(Y,add(Y,X_24))) )],[refute_0_200,refute_0_201]) ).
cnf(refute_0_203,plain,
add(multiply(additive_identity,X_24),Y) = multiply(Y,add(Y,X_24)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),Y),add(Y,multiply(additive_identity,X_24))) )],[refute_0_195,refute_0_202]) ).
cnf(refute_0_204,plain,
( add(multiply(additive_identity,X_24),Y) != multiply(Y,add(Y,X_24))
| multiply(Y,add(Y,X_24)) = add(multiply(additive_identity,X_24),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(additive_identity,X_24),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_24))))]]) ).
cnf(refute_0_205,plain,
multiply(Y,add(Y,X_24)) = add(multiply(additive_identity,X_24),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),Y),multiply(Y,add(Y,X_24))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_205:[bind(Y,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_11))]]) ).
cnf(refute_0_207,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,add(X_11,additive_identity)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_208,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( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity))) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_194,refute_0_208]) ).
cnf(refute_0_210,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != multiply(additive_identity,add(X_11,additive_identity))
| multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_211,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( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_209,refute_0_210]) ).
cnf(refute_0_212,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_191,refute_0_211]) ).
cnf(refute_0_213,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)) != multiply(additive_identity,X_11)
| multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$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_214,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( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11)),multiply(additive_identity,X_11)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_11))) )],[refute_0_186,refute_0_214]) ).
cnf(refute_0_216,plain,
add(X_28,multiply(X_28,X_28)) = multiply(X_28,add(X_28,X_28)),
inference(subst,[],[refute_0_124:[bind(Y,$fot(X_28)),bind(Z,$fot(X_28))]]) ).
cnf(refute_0_217,plain,
add(X_28,multiply(additive_identity,additive_identity)) = multiply(X_28,X_28),
inference(subst,[],[refute_0_178:[bind(X_21,$fot(X_28))]]) ).
cnf(refute_0_218,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_22:[bind(X0,$fot(add(X_28,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(X_28,X_28)))]]) ).
cnf(refute_0_219,plain,
multiply(X_28,X_28) = add(X_28,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),multiply(X_28,X_28)) )],[refute_0_217,refute_0_218]) ).
cnf(refute_0_220,plain,
( multiply(X_28,X_28) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,multiply(X_28,X_28)) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,add(X_28,X_28)) ),
introduced(tautology,[equality,[$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_221,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( $equal(multiply(X_28,X_28),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,add(X_28,X_28)),
inference(resolve,[$cnf( $equal(add(X_28,multiply(X_28,X_28)),multiply(X_28,add(X_28,X_28))) )],[refute_0_216,refute_0_221]) ).
cnf(refute_0_223,plain,
( X_13 != add(X_13,X_13)
| add(X_13,X_13) = X_13 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_13)),bind(Y0,$fot(add(X_13,X_13)))]]) ).
cnf(refute_0_224,plain,
add(X_13,X_13) = X_13,
inference(resolve,[$cnf( $equal(X_13,add(X_13,X_13)) )],[refute_0_18,refute_0_223]) ).
cnf(refute_0_225,plain,
add(X_28,X_28) = X_28,
inference(subst,[],[refute_0_224:[bind(X_13,$fot(X_28))]]) ).
cnf(refute_0_226,plain,
multiply(X_28,add(X_28,X_28)) = multiply(X_28,add(X_28,X_28)),
introduced(tautology,[refl,[$fot(multiply(X_28,add(X_28,X_28)))]]) ).
cnf(refute_0_227,plain,
( multiply(X_28,add(X_28,X_28)) != multiply(X_28,add(X_28,X_28))
| add(X_28,X_28) != X_28
| multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$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_228,plain,
( add(X_28,X_28) != X_28
| multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28) ),
inference(resolve,[$cnf( $equal(multiply(X_28,add(X_28,X_28)),multiply(X_28,add(X_28,X_28))) )],[refute_0_226,refute_0_227]) ).
cnf(refute_0_229,plain,
multiply(X_28,add(X_28,X_28)) = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,X_28),X_28) )],[refute_0_225,refute_0_228]) ).
cnf(refute_0_230,plain,
( multiply(X_28,add(X_28,X_28)) != multiply(X_28,X_28)
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,add(X_28,X_28))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$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_231,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( $equal(multiply(X_28,add(X_28,X_28)),multiply(X_28,X_28)) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,add(X_28,X_28))) )],[refute_0_222,refute_0_231]) ).
cnf(refute_0_233,plain,
add(X_28,additive_identity) = X_28,
inference(subst,[],[additive_id1:[bind(X,$fot(X_28))]]) ).
cnf(refute_0_234,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,$fot(X_41))]]) ).
cnf(refute_0_235,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),
inference(subst,[],[refute_0_182:[bind(Y,$fot(multiply(additive_identity,X_41)))]]) ).
cnf(refute_0_236,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_237,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( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_235,refute_0_236]) ).
cnf(refute_0_238,plain,
multiply(additive_identity,add(additive_identity,X_41)) = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_41))) )],[refute_0_234,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(additive_identity,add(additive_identity,X_41)) = additive_identity,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(additive_identity)),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_240,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| multiply(additive_identity,add(additive_identity,X_41)) != additive_identity
| additive_identity = multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) ),
introduced(tautology,[equality,[$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_241,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( $equal(multiply(additive_identity,add(additive_identity,X_41)),additive_identity) )],[refute_0_239,refute_0_240]) ).
cnf(refute_0_242,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(subst,[],[refute_0_199:[bind(X_10,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_243,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_182:[bind(Y,$fot(multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_244,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) ),
introduced(tautology,[equality,[$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_245,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( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_242,refute_0_245]) ).
cnf(refute_0_247,plain,
add(X_12,additive_identity) = X_12,
inference(subst,[],[additive_id1:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_248,plain,
multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,add(X_12,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_12,additive_identity)))]]) ).
cnf(refute_0_249,plain,
( multiply(additive_identity,add(X_12,additive_identity)) != multiply(additive_identity,add(X_12,additive_identity))
| add(X_12,additive_identity) != X_12
| multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$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_250,plain,
( add(X_12,additive_identity) != X_12
| multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_12,additive_identity)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
multiply(additive_identity,add(X_12,additive_identity)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(add(X_12,additive_identity),X_12) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_12,additive_identity)),
inference(subst,[],[refute_0_193:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_12)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_253,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_205:[bind(Y,$fot(multiply(additive_identity,additive_identity))),bind(X_24,$fot(X_12))]]) ).
cnf(refute_0_254,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_54:[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,$fot(multiply(additive_identity,add(X_12,additive_identity))))]]) ).
cnf(refute_0_255,plain,
( add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_12,additive_identity))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,add(X_12,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity))) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,add(X_12,additive_identity)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_12),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_252,refute_0_255]) ).
cnf(refute_0_257,plain,
( multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != multiply(additive_identity,add(X_12,additive_identity))
| multiply(additive_identity,add(X_12,additive_identity)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,X_12) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_258,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( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),multiply(additive_identity,add(X_12,additive_identity))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_12,additive_identity)),multiply(additive_identity,X_12)) )],[refute_0_251,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$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_261,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( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),multiply(additive_identity,X_12)) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_246,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)) = multiply(additive_identity,X_41),
inference(subst,[],[refute_0_262:[bind(X_12,$fot(X_41))]]) ).
cnf(refute_0_264,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_265,plain,
( additive_identity != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(additive_identity,X_41) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41)),multiply(additive_identity,X_41)) )],[refute_0_263,refute_0_264]) ).
cnf(refute_0_266,plain,
( multiply(additive_identity,add(additive_identity,X_41)) != multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))
| additive_identity = multiply(additive_identity,X_41) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_241,refute_0_265]) ).
cnf(refute_0_267,plain,
additive_identity = multiply(additive_identity,X_41),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_41)),multiply(multiply(additive_identity,X_41),multiply(additive_identity,X_41))) )],[refute_0_238,refute_0_266]) ).
cnf(refute_0_268,plain,
( additive_identity != multiply(additive_identity,X_41)
| multiply(additive_identity,X_41) = additive_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_41)))]]) ).
cnf(refute_0_269,plain,
multiply(additive_identity,X_41) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_41)) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(additive_identity))]]) ).
cnf(refute_0_271,plain,
add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,multiply(additive_identity,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_28,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_272,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_28,multiply(additive_identity,additive_identity)) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity) ),
introduced(tautology,[equality,[$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_273,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
add(X_28,multiply(additive_identity,additive_identity)) = add(X_28,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_270,refute_0_273]) ).
cnf(refute_0_275,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != add(X_28,additive_identity)
| add(X_28,additive_identity) != X_28
| add(X_28,multiply(additive_identity,additive_identity)) = X_28 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_276,plain,
( add(X_28,additive_identity) != X_28
| add(X_28,multiply(additive_identity,additive_identity)) = X_28 ),
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),add(X_28,additive_identity)) )],[refute_0_274,refute_0_275]) ).
cnf(refute_0_277,plain,
add(X_28,multiply(additive_identity,additive_identity)) = X_28,
inference(resolve,[$cnf( $equal(add(X_28,additive_identity),X_28) )],[refute_0_233,refute_0_276]) ).
cnf(refute_0_278,plain,
add(add(Y,X_36),multiply(Y,add(Y,X_36))) = multiply(add(Y,X_36),add(add(Y,X_36),Y)),
inference(subst,[],[refute_0_124:[bind(Z,$fot(add(Y,X_36)))]]) ).
cnf(refute_0_279,plain,
add(multiply(additive_identity,X_36),Y) = multiply(Y,add(Y,X_36)),
inference(subst,[],[refute_0_203:[bind(X_24,$fot(X_36))]]) ).
cnf(refute_0_280,plain,
( add(multiply(additive_identity,X_36),Y) != multiply(Y,add(Y,X_36))
| multiply(Y,add(Y,X_36)) = add(multiply(additive_identity,X_36),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(additive_identity,X_36),Y))),bind(Y0,$fot(multiply(Y,add(Y,X_36))))]]) ).
cnf(refute_0_281,plain,
multiply(Y,add(Y,X_36)) = add(multiply(additive_identity,X_36),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),multiply(Y,add(Y,X_36))) )],[refute_0_279,refute_0_280]) ).
cnf(refute_0_282,plain,
( multiply(Y,add(Y,X_36)) != add(multiply(additive_identity,X_36),Y)
| add(add(Y,X_36),multiply(Y,add(Y,X_36))) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = multiply(add(Y,X_36),add(add(Y,X_36),Y)) ),
introduced(tautology,[equality,[$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_283,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( $equal(multiply(Y,add(Y,X_36)),add(multiply(additive_identity,X_36),Y)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = multiply(add(Y,X_36),add(add(Y,X_36),Y)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),multiply(Y,add(Y,X_36))),multiply(add(Y,X_36),add(add(Y,X_36),Y))) )],[refute_0_278,refute_0_283]) ).
cnf(refute_0_285,plain,
add(multiply(X_22,additive_identity),Y) = add(Y,multiply(X_22,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_286,plain,
add(Y,multiply(X_22,additive_identity)) = multiply(Y,add(Y,X_22)),
inference(subst,[],[refute_0_164:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_287,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_288,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( $equal(add(Y,multiply(X_22,additive_identity)),multiply(Y,add(Y,X_22))) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
add(multiply(X_22,additive_identity),Y) = multiply(Y,add(Y,X_22)),
inference(resolve,[$cnf( $equal(add(multiply(X_22,additive_identity),Y),add(Y,multiply(X_22,additive_identity))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
add(multiply(X_12,additive_identity),X_10) = multiply(X_10,add(X_10,X_12)),
inference(subst,[],[refute_0_289:[bind(Y,$fot(X_10)),bind(X_22,$fot(X_12))]]) ).
cnf(refute_0_291,plain,
( add(multiply(X_12,additive_identity),X_10) != multiply(X_10,add(X_10,X_12))
| multiply(X_10,add(X_10,X_12)) = add(multiply(X_12,additive_identity),X_10) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(X_12,additive_identity),X_10))),bind(Y0,$fot(multiply(X_10,add(X_10,X_12))))]]) ).
cnf(refute_0_292,plain,
multiply(X_10,add(X_10,X_12)) = add(multiply(X_12,additive_identity),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_12,additive_identity),X_10),multiply(X_10,add(X_10,X_12))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
( multiply(X_10,add(X_10,X_12)) != add(multiply(X_12,additive_identity),X_10)
| add(X_10,multiply(additive_identity,X_12)) != multiply(X_10,add(X_10,X_12))
| add(X_10,multiply(additive_identity,X_12)) = add(multiply(X_12,additive_identity),X_10) ),
introduced(tautology,[equality,[$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_294,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( $equal(multiply(X_10,add(X_10,X_12)),add(multiply(X_12,additive_identity),X_10)) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
add(X_10,multiply(additive_identity,X_12)) = add(multiply(X_12,additive_identity),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(X_10,add(X_10,X_12))) )],[refute_0_199,refute_0_294]) ).
cnf(refute_0_296,plain,
add(add(Y,X_36),multiply(additive_identity,Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(subst,[],[refute_0_295:[bind(X_10,$fot(add(Y,X_36))),bind(X_12,$fot(Y))]]) ).
cnf(refute_0_297,plain,
add(X_33,multiply(X_34,additive_identity)) = multiply(X_33,add(X_34,X_33)),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(X_33)),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_298,plain,
multiply(additive_identity,X_34) = multiply(X_34,additive_identity),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_34))]]) ).
cnf(refute_0_299,plain,
( multiply(additive_identity,X_34) != multiply(X_34,additive_identity)
| multiply(X_34,additive_identity) = multiply(additive_identity,X_34) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(additive_identity,X_34))),bind(Y0,$fot(multiply(X_34,additive_identity)))]]) ).
cnf(refute_0_300,plain,
multiply(X_34,additive_identity) = multiply(additive_identity,X_34),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_34),multiply(X_34,additive_identity)) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(X_34,additive_identity) != multiply(additive_identity,X_34)
| add(X_33,multiply(X_34,additive_identity)) != multiply(X_33,add(X_34,X_33))
| add(X_33,multiply(additive_identity,X_34)) = multiply(X_33,add(X_34,X_33)) ),
introduced(tautology,[equality,[$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_302,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( $equal(multiply(X_34,additive_identity),multiply(additive_identity,X_34)) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
add(X_33,multiply(additive_identity,X_34)) = multiply(X_33,add(X_34,X_33)),
inference(resolve,[$cnf( $equal(add(X_33,multiply(X_34,additive_identity)),multiply(X_33,add(X_34,X_33))) )],[refute_0_297,refute_0_302]) ).
cnf(refute_0_304,plain,
( add(X_33,multiply(additive_identity,X_34)) != multiply(X_33,add(X_34,X_33))
| multiply(X_33,add(X_34,X_33)) = add(X_33,multiply(additive_identity,X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_33,multiply(additive_identity,X_34)))),bind(Y0,$fot(multiply(X_33,add(X_34,X_33))))]]) ).
cnf(refute_0_305,plain,
multiply(X_33,add(X_34,X_33)) = add(X_33,multiply(additive_identity,X_34)),
inference(resolve,[$cnf( $equal(add(X_33,multiply(additive_identity,X_34)),multiply(X_33,add(X_34,X_33))) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(add(Y,X_36),multiply(additive_identity,Y)),
inference(subst,[],[refute_0_305:[bind(X_33,$fot(add(Y,X_36))),bind(X_34,$fot(Y))]]) ).
cnf(refute_0_307,plain,
( multiply(add(Y,X_36),add(Y,add(Y,X_36))) != add(add(Y,X_36),multiply(additive_identity,Y))
| add(add(Y,X_36),multiply(additive_identity,Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_308,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( $equal(multiply(add(Y,X_36),add(Y,add(Y,X_36))),add(add(Y,X_36),multiply(additive_identity,Y))) )],[refute_0_306,refute_0_307]) ).
cnf(refute_0_309,plain,
multiply(add(Y,X_36),add(Y,add(Y,X_36))) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),multiply(additive_identity,Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_296,refute_0_308]) ).
cnf(refute_0_310,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_11,X_10)),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(X_10)),bind(X_22,$fot(X_11))]]) ).
cnf(refute_0_311,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(X_10,add(X_10,X_11))
| add(X_10,multiply(X_11,additive_identity)) != multiply(X_10,add(X_11,X_10))
| multiply(X_10,add(X_11,X_10)) = multiply(X_10,add(X_10,X_11)) ),
introduced(tautology,[equality,[$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_312,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( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(X_10,add(X_11,X_10))) )],[refute_0_310,refute_0_311]) ).
cnf(refute_0_313,plain,
multiply(X_10,add(X_11,X_10)) = multiply(X_10,add(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(X_10,add(X_10,X_11))) )],[refute_0_164,refute_0_312]) ).
cnf(refute_0_314,plain,
( multiply(X_10,add(X_11,X_10)) != multiply(X_10,add(X_10,X_11))
| multiply(X_10,add(X_10,X_11)) = multiply(X_10,add(X_11,X_10)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_10,add(X_11,X_10)))),bind(Y0,$fot(multiply(X_10,add(X_10,X_11))))]]) ).
cnf(refute_0_315,plain,
multiply(X_10,add(X_10,X_11)) = multiply(X_10,add(X_11,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_11,X_10)),multiply(X_10,add(X_10,X_11))) )],[refute_0_313,refute_0_314]) ).
cnf(refute_0_316,plain,
multiply(add(Y,X_36),add(add(Y,X_36),Y)) = multiply(add(Y,X_36),add(Y,add(Y,X_36))),
inference(subst,[],[refute_0_315:[bind(X_10,$fot(add(Y,X_36))),bind(X_11,$fot(Y))]]) ).
cnf(refute_0_317,plain,
( multiply(add(Y,X_36),add(Y,add(Y,X_36))) != add(multiply(Y,additive_identity),add(Y,X_36))
| multiply(add(Y,X_36),add(add(Y,X_36),Y)) != multiply(add(Y,X_36),add(Y,add(Y,X_36)))
| multiply(add(Y,X_36),add(add(Y,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_318,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( $equal(multiply(add(Y,X_36),add(add(Y,X_36),Y)),multiply(add(Y,X_36),add(Y,add(Y,X_36)))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(add(Y,X_36),add(add(Y,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_36),add(Y,add(Y,X_36))),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_309,refute_0_318]) ).
cnf(refute_0_320,plain,
( multiply(add(Y,X_36),add(add(Y,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != multiply(add(Y,X_36),add(add(Y,X_36),Y))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
introduced(tautology,[equality,[$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_321,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( $equal(multiply(add(Y,X_36),add(add(Y,X_36),Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_319,refute_0_320]) ).
cnf(refute_0_322,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(multiply(Y,additive_identity),add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),multiply(add(Y,X_36),add(add(Y,X_36),Y))) )],[refute_0_284,refute_0_321]) ).
cnf(refute_0_323,plain,
add(add(Y,X_36),Y) = add(Y,add(Y,X_36)),
inference(subst,[],[refute_0_62:[bind(X,$fot(Y)),bind(Y,$fot(add(Y,X_36)))]]) ).
cnf(refute_0_324,plain,
add(additive_identity,Y) = Y,
inference(subst,[],[refute_0_106:[bind(X,$fot(Y))]]) ).
cnf(refute_0_325,plain,
multiply(additive_identity,X_36) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(X_36))]]) ).
cnf(refute_0_326,plain,
add(multiply(additive_identity,X_36),Y) = add(multiply(additive_identity,X_36),Y),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_36),Y))]]) ).
cnf(refute_0_327,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_328,plain,
( multiply(additive_identity,X_36) != additive_identity
| add(multiply(additive_identity,X_36),Y) = add(additive_identity,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),add(multiply(additive_identity,X_36),Y)) )],[refute_0_326,refute_0_327]) ).
cnf(refute_0_329,plain,
add(multiply(additive_identity,X_36),Y) = add(additive_identity,Y),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_36),additive_identity) )],[refute_0_325,refute_0_328]) ).
cnf(refute_0_330,plain,
( add(multiply(additive_identity,X_36),Y) != add(additive_identity,Y)
| add(additive_identity,Y) != Y
| add(multiply(additive_identity,X_36),Y) = Y ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(additive_identity,X_36),Y))),bind(Y0,$fot(add(additive_identity,Y))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_331,plain,
( add(additive_identity,Y) != Y
| add(multiply(additive_identity,X_36),Y) = Y ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),add(additive_identity,Y)) )],[refute_0_329,refute_0_330]) ).
cnf(refute_0_332,plain,
add(multiply(additive_identity,X_36),Y) = Y,
inference(resolve,[$cnf( $equal(add(additive_identity,Y),Y) )],[refute_0_324,refute_0_331]) ).
cnf(refute_0_333,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),
introduced(tautology,[refl,[$fot(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)))]]) ).
cnf(refute_0_334,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_335,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( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(add(Y,X_36),add(multiply(additive_identity,X_36),Y))) )],[refute_0_333,refute_0_334]) ).
cnf(refute_0_336,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(add(Y,X_36),Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_36),Y),Y) )],[refute_0_332,refute_0_335]) ).
cnf(refute_0_337,plain,
( add(add(Y,X_36),Y) != add(Y,add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(add(Y,X_36),Y)
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(Y,add(Y,X_36)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_338,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( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(add(Y,X_36),Y)) )],[refute_0_336,refute_0_337]) ).
cnf(refute_0_339,plain,
add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) = add(Y,add(Y,X_36)),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),Y),add(Y,add(Y,X_36))) )],[refute_0_323,refute_0_338]) ).
cnf(refute_0_340,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(Y,add(Y,X_36))
| add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(multiply(Y,additive_identity),add(Y,X_36)) ),
introduced(tautology,[equality,[$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_341,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( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(Y,add(Y,X_36))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
add(X,multiply(Y,add(X,Y))) = multiply(add(X,Y),add(X,add(X,Y))),
inference(subst,[],[distributivity1:[bind(Z,$fot(add(X,Y)))]]) ).
cnf(refute_0_343,plain,
add(add(X,Y),multiply(X,additive_identity)) = multiply(add(X,Y),add(X,add(X,Y))),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(add(X,Y))),bind(X_22,$fot(X))]]) ).
cnf(refute_0_344,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_22:[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_345,plain,
multiply(add(X,Y),add(X,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)),
inference(resolve,[$cnf( $equal(add(add(X,Y),multiply(X,additive_identity)),multiply(add(X,Y),add(X,add(X,Y)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
( multiply(add(X,Y),add(X,add(X,Y))) != add(add(X,Y),multiply(X,additive_identity))
| add(X,multiply(Y,add(X,Y))) != multiply(add(X,Y),add(X,add(X,Y)))
| add(X,multiply(Y,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)) ),
introduced(tautology,[equality,[$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_347,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( $equal(multiply(add(X,Y),add(X,add(X,Y))),add(add(X,Y),multiply(X,additive_identity))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
add(X,multiply(Y,add(X,Y))) = add(add(X,Y),multiply(X,additive_identity)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),multiply(add(X,Y),add(X,add(X,Y)))) )],[refute_0_342,refute_0_347]) ).
cnf(refute_0_349,plain,
add(add(X,Y),multiply(X,additive_identity)) = add(multiply(X,additive_identity),add(X,Y)),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiply(X,additive_identity))),bind(Y,$fot(add(X,Y)))]]) ).
cnf(refute_0_350,plain,
( add(X,multiply(Y,add(X,Y))) != add(add(X,Y),multiply(X,additive_identity))
| add(add(X,Y),multiply(X,additive_identity)) != add(multiply(X,additive_identity),add(X,Y))
| add(X,multiply(Y,add(X,Y))) = add(multiply(X,additive_identity),add(X,Y)) ),
introduced(tautology,[equality,[$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_351,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( $equal(add(add(X,Y),multiply(X,additive_identity)),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
add(X,multiply(Y,add(X,Y))) = add(multiply(X,additive_identity),add(X,Y)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(add(X,Y),multiply(X,additive_identity))) )],[refute_0_348,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(add(X_40,X_41))),bind(Y,$fot(X_40)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_354,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_182:[bind(Y,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_355,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != multiply(add(X_40,X_41),add(X_40,X_41))
| multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(additive_identity,additive_identity),add(X_40,X_41)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))),bind(Y0,$fot(multiply(add(X_40,X_41),add(X_40,X_41))))]]) ).
cnf(refute_0_356,plain,
multiply(add(X_40,X_41),add(X_40,X_41)) = add(multiply(additive_identity,additive_identity),add(X_40,X_41)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),multiply(add(X_40,X_41),add(X_40,X_41))) )],[refute_0_354,refute_0_355]) ).
cnf(refute_0_357,plain,
( multiply(add(X_40,X_41),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| multiply(add(X_40,X_41),add(X_40,X_41)) != add(multiply(additive_identity,additive_identity),add(X_40,X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) ),
introduced(tautology,[equality,[$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_358,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( $equal(multiply(add(X_40,X_41),add(X_40,X_41)),add(multiply(additive_identity,additive_identity),add(X_40,X_41))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),
inference(resolve,[$cnf( $equal(multiply(add(X_40,X_41),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) )],[refute_0_353,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(add(X_40,X_41),X_40) = multiply(X_40,add(X_40,X_41)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_40)),bind(Y,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_361,plain,
add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),
introduced(tautology,[refl,[$fot(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_362,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_363,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( $equal(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))) )],[refute_0_361,refute_0_362]) ).
cnf(refute_0_364,plain,
add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(add(X_40,X_41),X_40),multiply(X_40,add(X_40,X_41))) )],[refute_0_360,refute_0_363]) ).
cnf(refute_0_365,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_10,X_12))),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_366,plain,
( add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_10,multiply(X_11,X_12)))),bind(Y0,$fot(multiply(add(X_10,X_11),add(X_10,X_12))))]]) ).
cnf(refute_0_367,plain,
multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_139,refute_0_366]) ).
cnf(refute_0_368,plain,
( multiply(add(X_10,X_11),add(X_10,X_12)) != add(X_10,multiply(X_11,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$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_369,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( $equal(multiply(add(X_10,X_11),add(X_10,X_12)),add(X_10,multiply(X_11,X_12))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_365,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_12,X_11)),
inference(subst,[],[refute_0_92:[bind(X,$fot(X_10)),bind(Y,$fot(X_12)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_372,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_373,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( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_12,X_11))) )],[refute_0_371,refute_0_372]) ).
cnf(refute_0_374,plain,
add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_11,X_12))) )],[refute_0_370,refute_0_373]) ).
cnf(refute_0_375,plain,
( add(X_10,multiply(X_12,X_11)) != add(X_10,multiply(X_11,X_12))
| add(X_10,multiply(X_11,X_12)) = add(X_10,multiply(X_12,X_11)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_10,multiply(X_12,X_11)))),bind(Y0,$fot(add(X_10,multiply(X_11,X_12))))]]) ).
cnf(refute_0_376,plain,
add(X_10,multiply(X_11,X_12)) = add(X_10,multiply(X_12,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_12,X_11)),add(X_10,multiply(X_11,X_12))) )],[refute_0_374,refute_0_375]) ).
cnf(refute_0_377,plain,
add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),
inference(subst,[],[refute_0_376:[bind(X_10,$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_378,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_54:[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,$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))))]]) ).
cnf(refute_0_379,plain,
( add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41)))) )],[refute_0_377,refute_0_378]) ).
cnf(refute_0_380,plain,
add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_40,X_41),X_40),multiply(X_41,add(X_40,X_41))),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_364,refute_0_379]) ).
cnf(refute_0_381,plain,
( add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$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_382,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( $equal(add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41)),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(add(X_40,X_41),X_40),multiply(add(X_40,X_41),X_41))) )],[refute_0_359,refute_0_382]) ).
cnf(refute_0_384,plain,
add(additive_identity,add(X_40,X_41)) = add(X_40,X_41),
inference(subst,[],[refute_0_106:[bind(X,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_385,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,[$fot(add(multiply(additive_identity,additive_identity),add(X_40,X_41)))]]) ).
cnf(refute_0_386,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(additive_identity,additive_identity),add(X_40,X_41))
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(additive_identity,add(X_40,X_41)) ),
introduced(tautology,[equality,[$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_387,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( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(additive_identity,additive_identity),add(X_40,X_41))) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(additive_identity,add(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_270,refute_0_387]) ).
cnf(refute_0_389,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(additive_identity,add(X_40,X_41))
| add(additive_identity,add(X_40,X_41)) != add(X_40,X_41)
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(X_40,X_41) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_390,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( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(additive_identity,add(X_40,X_41))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
add(multiply(additive_identity,additive_identity),add(X_40,X_41)) = add(X_40,X_41),
inference(resolve,[$cnf( $equal(add(additive_identity,add(X_40,X_41)),add(X_40,X_41)) )],[refute_0_384,refute_0_390]) ).
cnf(refute_0_392,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(X_40,X_41)
| add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$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_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(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(X_40,X_41)) )],[refute_0_391,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X_40,add(X_40,X_41)) = X_40,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(X_40)),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_395,plain,
add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),
introduced(tautology,[refl,[$fot(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))))]]) ).
cnf(refute_0_396,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_397,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( $equal(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) = add(X_40,multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(X_40,add(X_40,X_41)),X_40) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
( add(X_40,X_41) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))) != add(X_40,multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
introduced(tautology,[equality,[$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_400,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( $equal(add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41))),add(X_40,multiply(X_41,add(X_40,X_41)))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
( add(multiply(additive_identity,additive_identity),add(X_40,X_41)) != add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))
| add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(X_40,X_41),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_393,refute_0_400]) ).
cnf(refute_0_402,plain,
add(X_40,X_41) = add(X_40,multiply(X_41,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(X_40,X_41)),add(multiply(X_40,add(X_40,X_41)),multiply(X_41,add(X_40,X_41)))) )],[refute_0_383,refute_0_401]) ).
cnf(refute_0_403,plain,
( add(X_40,X_41) != add(X_40,multiply(X_41,add(X_40,X_41)))
| add(X_40,multiply(X_41,add(X_40,X_41))) = add(X_40,X_41) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_40,X_41))),bind(Y0,$fot(add(X_40,multiply(X_41,add(X_40,X_41)))))]]) ).
cnf(refute_0_404,plain,
add(X_40,multiply(X_41,add(X_40,X_41))) = add(X_40,X_41),
inference(resolve,[$cnf( $equal(add(X_40,X_41),add(X_40,multiply(X_41,add(X_40,X_41)))) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
add(X,multiply(Y,add(X,Y))) = add(X,Y),
inference(subst,[],[refute_0_404:[bind(X_40,$fot(X)),bind(X_41,$fot(Y))]]) ).
cnf(refute_0_406,plain,
( add(X,multiply(Y,add(X,Y))) != add(X,Y)
| add(X,multiply(Y,add(X,Y))) != add(multiply(X,additive_identity),add(X,Y))
| add(X,Y) = add(multiply(X,additive_identity),add(X,Y)) ),
introduced(tautology,[equality,[$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_407,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( $equal(add(X,multiply(Y,add(X,Y))),add(X,Y)) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
add(X,Y) = add(multiply(X,additive_identity),add(X,Y)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,add(X,Y))),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_352,refute_0_407]) ).
cnf(refute_0_409,plain,
( add(X,Y) != add(multiply(X,additive_identity),add(X,Y))
| add(multiply(X,additive_identity),add(X,Y)) = add(X,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(multiply(X,additive_identity),add(X,Y))))]]) ).
cnf(refute_0_410,plain,
add(multiply(X,additive_identity),add(X,Y)) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(multiply(X,additive_identity),add(X,Y))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
add(multiply(Y,additive_identity),add(Y,X_36)) = add(Y,X_36),
inference(subst,[],[refute_0_410:[bind(X,$fot(Y)),bind(Y,$fot(X_36))]]) ).
cnf(refute_0_412,plain,
( add(Y,add(Y,X_36)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(multiply(Y,additive_identity),add(Y,X_36)) != add(Y,X_36)
| add(Y,add(Y,X_36)) = add(Y,X_36) ),
introduced(tautology,[equality,[$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_413,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( $equal(add(multiply(Y,additive_identity),add(Y,X_36)),add(Y,X_36)) )],[refute_0_411,refute_0_412]) ).
cnf(refute_0_414,plain,
( add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)) != add(multiply(Y,additive_identity),add(Y,X_36))
| add(Y,add(Y,X_36)) = add(Y,X_36) ),
inference(resolve,[$cnf( $equal(add(Y,add(Y,X_36)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_341,refute_0_413]) ).
cnf(refute_0_415,plain,
add(Y,add(Y,X_36)) = add(Y,X_36),
inference(resolve,[$cnf( $equal(add(add(Y,X_36),add(multiply(additive_identity,X_36),Y)),add(multiply(Y,additive_identity),add(Y,X_36))) )],[refute_0_322,refute_0_414]) ).
cnf(refute_0_416,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = add(X_28,multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_415:[bind(Y,$fot(X_28)),bind(X_36,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_417,plain,
( add(X_28,multiply(additive_identity,additive_identity)) != X_28
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != add(X_28,multiply(additive_identity,additive_identity))
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = X_28 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_418,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( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),add(X_28,multiply(additive_identity,additive_identity))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
add(X_28,add(X_28,multiply(additive_identity,additive_identity))) = X_28,
inference(resolve,[$cnf( $equal(add(X_28,multiply(additive_identity,additive_identity)),X_28) )],[refute_0_277,refute_0_418]) ).
cnf(refute_0_420,plain,
( add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != X_28
| add(X_28,add(X_28,multiply(additive_identity,additive_identity))) != multiply(X_28,X_28)
| X_28 = multiply(X_28,X_28) ),
introduced(tautology,[equality,[$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_421,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( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),X_28) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
X_28 = multiply(X_28,X_28),
inference(resolve,[$cnf( $equal(add(X_28,add(X_28,multiply(additive_identity,additive_identity))),multiply(X_28,X_28)) )],[refute_0_232,refute_0_421]) ).
cnf(refute_0_423,plain,
( X_28 != multiply(X_28,X_28)
| multiply(X_28,X_28) = X_28 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_28)),bind(Y0,$fot(multiply(X_28,X_28)))]]) ).
cnf(refute_0_424,plain,
multiply(X_28,X_28) = X_28,
inference(resolve,[$cnf( $equal(X_28,multiply(X_28,X_28)) )],[refute_0_422,refute_0_423]) ).
cnf(refute_0_425,plain,
multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) = multiply(X_11,additive_identity),
inference(subst,[],[refute_0_424:[bind(X_28,$fot(multiply(X_11,additive_identity)))]]) ).
cnf(refute_0_426,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_427,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( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(X_11,additive_identity)) )],[refute_0_425,refute_0_426]) ).
cnf(refute_0_428,plain,
multiply(additive_identity,X_11) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(X_11))]]) ).
cnf(refute_0_429,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_430,plain,
( multiply(X_11,additive_identity) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),additive_identity) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
( multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,X_11)
| multiply(X_11,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_11,additive_identity),multiply(additive_identity,X_11)) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
multiply(X_11,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_215,refute_0_431]) ).
cnf(refute_0_433,plain,
multiply(X_22,additive_identity) = additive_identity,
inference(subst,[],[refute_0_432:[bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_434,plain,
add(X_21,multiply(X_22,additive_identity)) = add(X_21,multiply(X_22,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_21,multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_435,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(X_21,multiply(X_22,additive_identity)) != add(X_21,multiply(X_22,additive_identity))
| add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity) ),
introduced(tautology,[equality,[$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_436,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),add(X_21,multiply(X_22,additive_identity))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
add(X_21,multiply(X_22,additive_identity)) = add(X_21,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_22,additive_identity),additive_identity) )],[refute_0_433,refute_0_436]) ).
cnf(refute_0_438,plain,
( add(X_21,multiply(X_22,additive_identity)) != add(X_21,additive_identity)
| add(X_21,additive_identity) != X_21
| add(X_21,multiply(X_22,additive_identity)) = X_21 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_439,plain,
( add(X_21,additive_identity) != X_21
| add(X_21,multiply(X_22,additive_identity)) = X_21 ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),add(X_21,additive_identity)) )],[refute_0_437,refute_0_438]) ).
cnf(refute_0_440,plain,
add(X_21,multiply(X_22,additive_identity)) = X_21,
inference(resolve,[$cnf( $equal(add(X_21,additive_identity),X_21) )],[refute_0_172,refute_0_439]) ).
cnf(refute_0_441,plain,
( add(X_21,multiply(X_22,additive_identity)) != X_21
| add(X_21,multiply(X_22,additive_identity)) != multiply(X_21,add(X_22,X_21))
| X_21 = multiply(X_21,add(X_22,X_21)) ),
introduced(tautology,[equality,[$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_442,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( $equal(add(X_21,multiply(X_22,additive_identity)),X_21) )],[refute_0_440,refute_0_441]) ).
cnf(refute_0_443,plain,
X_21 = multiply(X_21,add(X_22,X_21)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,additive_identity)),multiply(X_21,add(X_22,X_21))) )],[refute_0_171,refute_0_442]) ).
cnf(refute_0_444,plain,
X_65 = multiply(X_65,add(X_22,X_65)),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(X_65))]]) ).
cnf(refute_0_445,plain,
( X_65 != multiply(X_65,add(X_22,X_65))
| multiply(X_65,add(X_22,X_65)) = X_65 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_65)),bind(Y0,$fot(multiply(X_65,add(X_22,X_65))))]]) ).
cnf(refute_0_446,plain,
multiply(X_65,add(X_22,X_65)) = X_65,
inference(resolve,[$cnf( $equal(X_65,multiply(X_65,add(X_22,X_65))) )],[refute_0_444,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(X_65,add(X_22,X_65)) != X_65
| add(inverse(X_65),multiply(X_65,add(X_22,X_65))) != add(inverse(X_65),add(X_22,X_65))
| add(inverse(X_65),X_65) = add(inverse(X_65),add(X_22,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_65),multiply(X_65,add(X_22,X_65))),add(inverse(X_65),add(X_22,X_65))) ),[0,1],$fot(X_65)]]) ).
cnf(refute_0_448,plain,
( add(inverse(X_65),multiply(X_65,add(X_22,X_65))) != add(inverse(X_65),add(X_22,X_65))
| add(inverse(X_65),X_65) = add(inverse(X_65),add(X_22,X_65)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,add(X_22,X_65)),X_65) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
add(inverse(X_65),X_65) = add(inverse(X_65),add(X_22,X_65)),
inference(resolve,[$cnf( $equal(add(inverse(X_65),multiply(X_65,add(X_22,X_65))),add(inverse(X_65),add(X_22,X_65))) )],[refute_0_155,refute_0_448]) ).
cnf(refute_0_450,plain,
add(X_65,inverse(X_65)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_65))]]) ).
cnf(refute_0_451,plain,
add(inverse(X_65),X_65) = add(X_65,inverse(X_65)),
inference(subst,[],[refute_0_62:[bind(X,$fot(X_65)),bind(Y,$fot(inverse(X_65)))]]) ).
cnf(refute_0_452,plain,
( add(X_65,inverse(X_65)) != multiplicative_identity
| add(inverse(X_65),X_65) != add(X_65,inverse(X_65))
| add(inverse(X_65),X_65) = multiplicative_identity ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(X_65),X_65))),bind(Y0,$fot(add(X_65,inverse(X_65)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_453,plain,
( add(X_65,inverse(X_65)) != multiplicative_identity
| add(inverse(X_65),X_65) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_65),X_65),add(X_65,inverse(X_65))) )],[refute_0_451,refute_0_452]) ).
cnf(refute_0_454,plain,
add(inverse(X_65),X_65) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_65,inverse(X_65)),multiplicative_identity) )],[refute_0_450,refute_0_453]) ).
cnf(refute_0_455,plain,
( add(inverse(X_65),X_65) != add(inverse(X_65),add(X_22,X_65))
| add(inverse(X_65),X_65) != multiplicative_identity
| multiplicative_identity = add(inverse(X_65),add(X_22,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_65),X_65),add(inverse(X_65),add(X_22,X_65))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_456,plain,
( add(inverse(X_65),X_65) != add(inverse(X_65),add(X_22,X_65))
| multiplicative_identity = add(inverse(X_65),add(X_22,X_65)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_65),X_65),multiplicative_identity) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
multiplicative_identity = add(inverse(X_65),add(X_22,X_65)),
inference(resolve,[$cnf( $equal(add(inverse(X_65),X_65),add(inverse(X_65),add(X_22,X_65))) )],[refute_0_449,refute_0_456]) ).
cnf(refute_0_458,plain,
multiplicative_identity = add(inverse(multiply(Y,X_69)),add(X_69,multiply(Y,X_69))),
inference(subst,[],[refute_0_457:[bind(X_22,$fot(X_69)),bind(X_65,$fot(multiply(Y,X_69)))]]) ).
cnf(refute_0_459,plain,
add(X_69,multiply(Y,X_69)) = X_69,
inference(subst,[],[refute_0_128:[bind(Z,$fot(X_69))]]) ).
cnf(refute_0_460,plain,
( add(X_69,multiply(Y,X_69)) != X_69
| multiplicative_identity != add(inverse(multiply(Y,X_69)),add(X_69,multiply(Y,X_69)))
| multiplicative_identity = add(inverse(multiply(Y,X_69)),X_69) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(Y,X_69)),add(X_69,multiply(Y,X_69)))) ),[1,1],$fot(X_69)]]) ).
cnf(refute_0_461,plain,
( multiplicative_identity != add(inverse(multiply(Y,X_69)),add(X_69,multiply(Y,X_69)))
| multiplicative_identity = add(inverse(multiply(Y,X_69)),X_69) ),
inference(resolve,[$cnf( $equal(add(X_69,multiply(Y,X_69)),X_69) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
multiplicative_identity = add(inverse(multiply(Y,X_69)),X_69),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(Y,X_69)),add(X_69,multiply(Y,X_69)))) )],[refute_0_458,refute_0_461]) ).
cnf(refute_0_463,plain,
add(inverse(multiply(Y,X_69)),X_69) = add(X_69,inverse(multiply(Y,X_69))),
inference(subst,[],[refute_0_62:[bind(X,$fot(X_69)),bind(Y,$fot(inverse(multiply(Y,X_69))))]]) ).
cnf(refute_0_464,plain,
( add(inverse(multiply(Y,X_69)),X_69) != add(X_69,inverse(multiply(Y,X_69)))
| multiplicative_identity != add(inverse(multiply(Y,X_69)),X_69)
| multiplicative_identity = add(X_69,inverse(multiply(Y,X_69))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(Y,X_69)),X_69)) ),[1],$fot(add(X_69,inverse(multiply(Y,X_69))))]]) ).
cnf(refute_0_465,plain,
( multiplicative_identity != add(inverse(multiply(Y,X_69)),X_69)
| multiplicative_identity = add(X_69,inverse(multiply(Y,X_69))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(Y,X_69)),X_69),add(X_69,inverse(multiply(Y,X_69)))) )],[refute_0_463,refute_0_464]) ).
cnf(refute_0_466,plain,
multiplicative_identity = add(X_69,inverse(multiply(Y,X_69))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(Y,X_69)),X_69)) )],[refute_0_462,refute_0_465]) ).
cnf(refute_0_467,plain,
multiplicative_identity = add(X_73,inverse(multiply(X_72,X_73))),
inference(subst,[],[refute_0_466:[bind(Y,$fot(X_72)),bind(X_69,$fot(X_73))]]) ).
cnf(refute_0_468,plain,
multiply(X_73,X_72) = multiply(X_72,X_73),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_73)),bind(Y,$fot(X_72))]]) ).
cnf(refute_0_469,plain,
( multiply(X_73,X_72) != multiply(X_72,X_73)
| multiply(X_72,X_73) = multiply(X_73,X_72) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_73,X_72))),bind(Y0,$fot(multiply(X_72,X_73)))]]) ).
cnf(refute_0_470,plain,
multiply(X_72,X_73) = multiply(X_73,X_72),
inference(resolve,[$cnf( $equal(multiply(X_73,X_72),multiply(X_72,X_73)) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
( multiply(X_72,X_73) != multiply(X_73,X_72)
| multiplicative_identity != add(X_73,inverse(multiply(X_72,X_73)))
| multiplicative_identity = add(X_73,inverse(multiply(X_73,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(X_73,inverse(multiply(X_72,X_73)))) ),[1,1,0],$fot(multiply(X_73,X_72))]]) ).
cnf(refute_0_472,plain,
( multiplicative_identity != add(X_73,inverse(multiply(X_72,X_73)))
| multiplicative_identity = add(X_73,inverse(multiply(X_73,X_72))) ),
inference(resolve,[$cnf( $equal(multiply(X_72,X_73),multiply(X_73,X_72)) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
multiplicative_identity = add(X_73,inverse(multiply(X_73,X_72))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_73,inverse(multiply(X_72,X_73)))) )],[refute_0_467,refute_0_472]) ).
cnf(refute_0_474,plain,
multiplicative_identity = add(inverse(X_92),inverse(multiply(inverse(X_92),X_72))),
inference(subst,[],[refute_0_473:[bind(X_73,$fot(inverse(X_92)))]]) ).
cnf(refute_0_475,plain,
( multiplicative_identity != add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))
| add(inverse(X_92),inverse(multiply(inverse(X_92),X_72))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))))]]) ).
cnf(refute_0_476,plain,
add(inverse(X_92),inverse(multiply(inverse(X_92),X_72))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( multiply(X_92,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))) != multiply(X_92,inverse(multiply(inverse(X_92),X_72)))
| add(inverse(X_92),inverse(multiply(inverse(X_92),X_72))) != multiplicative_identity
| multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(inverse(X_92),X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))),multiply(X_92,inverse(multiply(inverse(X_92),X_72)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_478,plain,
( multiply(X_92,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))) != multiply(X_92,inverse(multiply(inverse(X_92),X_72)))
| multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(inverse(X_92),X_72))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_92),inverse(multiply(inverse(X_92),X_72))),multiplicative_identity) )],[refute_0_476,refute_0_477]) ).
cnf(refute_0_479,plain,
multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(inverse(X_92),X_72))),
inference(resolve,[$cnf( $equal(multiply(X_92,add(inverse(X_92),inverse(multiply(inverse(X_92),X_72)))),multiply(X_92,inverse(multiply(inverse(X_92),X_72)))) )],[refute_0_138,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(X_92,multiplicative_identity) = X_92,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_92))]]) ).
cnf(refute_0_481,plain,
( multiply(X_92,multiplicative_identity) != X_92
| multiply(X_92,multiplicative_identity) != multiply(X_92,inverse(multiply(inverse(X_92),X_72)))
| X_92 = multiply(X_92,inverse(multiply(inverse(X_92),X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,multiplicative_identity),multiply(X_92,inverse(multiply(inverse(X_92),X_72)))) ),[0],$fot(X_92)]]) ).
cnf(refute_0_482,plain,
( multiply(X_92,multiplicative_identity) != multiply(X_92,inverse(multiply(inverse(X_92),X_72)))
| X_92 = multiply(X_92,inverse(multiply(inverse(X_92),X_72))) ),
inference(resolve,[$cnf( $equal(multiply(X_92,multiplicative_identity),X_92) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
X_92 = multiply(X_92,inverse(multiply(inverse(X_92),X_72))),
inference(resolve,[$cnf( $equal(multiply(X_92,multiplicative_identity),multiply(X_92,inverse(multiply(inverse(X_92),X_72)))) )],[refute_0_479,refute_0_482]) ).
cnf(refute_0_484,plain,
inverse(X_64) = multiply(inverse(X_64),inverse(multiply(inverse(inverse(X_64)),X_94))),
inference(subst,[],[refute_0_483:[bind(X_72,$fot(X_94)),bind(X_92,$fot(inverse(X_64)))]]) ).
cnf(refute_0_485,plain,
add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)) = add(inverse(inverse(X_64)),X_64),
inference(subst,[],[refute_0_154:[bind(X_63,$fot(inverse(X_64)))]]) ).
cnf(refute_0_486,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_487,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_22:[bind(X0,$fot(add(X_12,X_10))),bind(Y0,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_488,plain,
add(X_10,X_12) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_12,X_10),add(X_10,X_12)) )],[refute_0_486,refute_0_487]) ).
cnf(refute_0_489,plain,
( add(X_10,X_12) != add(X_12,X_10)
| add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_12,X_10)) ),
introduced(tautology,[equality,[$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_490,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( $equal(add(X_10,X_12),add(X_12,X_10)) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_139,refute_0_490]) ).
cnf(refute_0_492,plain,
add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(add(inverse(inverse(X_61)),X_60),add(X_61,inverse(inverse(X_61)))),
inference(subst,[],[refute_0_491:[bind(X_10,$fot(inverse(inverse(X_61)))),bind(X_11,$fot(X_60)),bind(X_12,$fot(X_61))]]) ).
cnf(refute_0_493,plain,
add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))) = add(X_18,inverse(inverse(X_18))),
inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_18)),bind(X_12,$fot(inverse(inverse(X_18))))]]) ).
cnf(refute_0_494,plain,
multiply(inverse(X_18),inverse(inverse(X_18))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(inverse(X_18)))]]) ).
cnf(refute_0_495,plain,
( multiply(inverse(X_18),inverse(inverse(X_18))) != additive_identity
| add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))) != add(X_18,inverse(inverse(X_18)))
| add(X_18,additive_identity) = add(X_18,inverse(inverse(X_18))) ),
introduced(tautology,[equality,[$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_496,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( $equal(multiply(inverse(X_18),inverse(inverse(X_18))),additive_identity) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
add(X_18,additive_identity) = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(X_18,multiply(inverse(X_18),inverse(inverse(X_18)))),add(X_18,inverse(inverse(X_18)))) )],[refute_0_493,refute_0_496]) ).
cnf(refute_0_498,plain,
add(X_18,additive_identity) = X_18,
inference(subst,[],[additive_id1:[bind(X,$fot(X_18))]]) ).
cnf(refute_0_499,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_500,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( $equal(add(X_18,additive_identity),X_18) )],[refute_0_498,refute_0_499]) ).
cnf(refute_0_501,plain,
X_18 = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(X_18,additive_identity),add(X_18,inverse(inverse(X_18)))) )],[refute_0_497,refute_0_500]) ).
cnf(refute_0_502,plain,
X_61 = add(X_61,inverse(inverse(X_61))),
inference(subst,[],[refute_0_501:[bind(X_18,$fot(X_61))]]) ).
cnf(refute_0_503,plain,
( X_61 != add(X_61,inverse(inverse(X_61)))
| add(X_61,inverse(inverse(X_61))) = X_61 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_61)),bind(Y0,$fot(add(X_61,inverse(inverse(X_61)))))]]) ).
cnf(refute_0_504,plain,
add(X_61,inverse(inverse(X_61))) = X_61,
inference(resolve,[$cnf( $equal(X_61,add(X_61,inverse(inverse(X_61)))) )],[refute_0_502,refute_0_503]) ).
cnf(refute_0_505,plain,
( add(X_61,inverse(inverse(X_61))) != X_61
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) != multiply(add(inverse(inverse(X_61)),X_60),add(X_61,inverse(inverse(X_61))))
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(add(inverse(inverse(X_61)),X_60),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_61)),multiply(X_60,X_61)),multiply(add(inverse(inverse(X_61)),X_60),add(X_61,inverse(inverse(X_61))))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_0_506,plain,
( add(inverse(inverse(X_61)),multiply(X_60,X_61)) != multiply(add(inverse(inverse(X_61)),X_60),add(X_61,inverse(inverse(X_61))))
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(add(inverse(inverse(X_61)),X_60),X_61) ),
inference(resolve,[$cnf( $equal(add(X_61,inverse(inverse(X_61))),X_61) )],[refute_0_504,refute_0_505]) ).
cnf(refute_0_507,plain,
add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(add(inverse(inverse(X_61)),X_60),X_61),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_61)),multiply(X_60,X_61)),multiply(add(inverse(inverse(X_61)),X_60),add(X_61,inverse(inverse(X_61))))) )],[refute_0_492,refute_0_506]) ).
cnf(refute_0_508,plain,
multiply(add(inverse(inverse(X_61)),X_60),X_61) = multiply(X_61,add(inverse(inverse(X_61)),X_60)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_61)),bind(Y,$fot(add(inverse(inverse(X_61)),X_60)))]]) ).
cnf(refute_0_509,plain,
( multiply(add(inverse(inverse(X_61)),X_60),X_61) != multiply(X_61,add(inverse(inverse(X_61)),X_60))
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) != multiply(add(inverse(inverse(X_61)),X_60),X_61)
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(X_61,add(inverse(inverse(X_61)),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_61)),multiply(X_60,X_61)),multiply(add(inverse(inverse(X_61)),X_60),X_61)) ),[1],$fot(multiply(X_61,add(inverse(inverse(X_61)),X_60)))]]) ).
cnf(refute_0_510,plain,
( add(inverse(inverse(X_61)),multiply(X_60,X_61)) != multiply(add(inverse(inverse(X_61)),X_60),X_61)
| add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(X_61,add(inverse(inverse(X_61)),X_60)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(inverse(X_61)),X_60),X_61),multiply(X_61,add(inverse(inverse(X_61)),X_60))) )],[refute_0_508,refute_0_509]) ).
cnf(refute_0_511,plain,
add(inverse(inverse(X_61)),multiply(X_60,X_61)) = multiply(X_61,add(inverse(inverse(X_61)),X_60)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_61)),multiply(X_60,X_61)),multiply(add(inverse(inverse(X_61)),X_60),X_61)) )],[refute_0_507,refute_0_510]) ).
cnf(refute_0_512,plain,
add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)) = multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))),
inference(subst,[],[refute_0_511:[bind(X_60,$fot(inverse(X_64))),bind(X_61,$fot(X_64))]]) ).
cnf(refute_0_513,plain,
( add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)) != multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64)))
| add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)) != add(inverse(inverse(X_64)),X_64)
| multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = add(inverse(inverse(X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)),add(inverse(inverse(X_64)),X_64)) ),[0],$fot(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))))]]) ).
cnf(refute_0_514,plain,
( add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)) != add(inverse(inverse(X_64)),X_64)
| multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = add(inverse(inverse(X_64)),X_64) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)),multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64)))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = add(inverse(inverse(X_64)),X_64),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(inverse(X_64),X_64)),add(inverse(inverse(X_64)),X_64)) )],[refute_0_485,refute_0_514]) ).
cnf(refute_0_516,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34)))),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(inverse(inverse(X_34)))),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_517,plain,
X_34 = add(X_34,inverse(inverse(X_34))),
inference(subst,[],[refute_0_501:[bind(X_18,$fot(X_34))]]) ).
cnf(refute_0_518,plain,
( X_34 != add(X_34,inverse(inverse(X_34)))
| add(X_34,inverse(inverse(X_34))) = X_34 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_34)),bind(Y0,$fot(add(X_34,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_519,plain,
add(X_34,inverse(inverse(X_34))) = X_34,
inference(resolve,[$cnf( $equal(X_34,add(X_34,inverse(inverse(X_34)))) )],[refute_0_517,refute_0_518]) ).
cnf(refute_0_520,plain,
( add(X_34,inverse(inverse(X_34))) != X_34
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),X_34) ),
introduced(tautology,[equality,[$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_521,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( $equal(add(X_34,inverse(inverse(X_34))),X_34) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(inverse(inverse(X_34)),X_34),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),add(X_34,inverse(inverse(X_34))))) )],[refute_0_516,refute_0_521]) ).
cnf(refute_0_523,plain,
multiply(inverse(inverse(X_34)),X_34) = multiply(X_34,inverse(inverse(X_34))),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_34)),bind(Y,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_524,plain,
( multiply(inverse(inverse(X_34)),X_34) != multiply(X_34,inverse(inverse(X_34)))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(inverse(inverse(X_34)),X_34)
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(X_34,inverse(inverse(X_34))) ),
introduced(tautology,[equality,[$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_525,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( $equal(multiply(inverse(inverse(X_34)),X_34),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_523,refute_0_524]) ).
cnf(refute_0_526,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = multiply(X_34,inverse(inverse(X_34))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(inverse(inverse(X_34)),X_34)) )],[refute_0_522,refute_0_525]) ).
cnf(refute_0_527,plain,
add(inverse(inverse(X_34)),additive_identity) = inverse(inverse(X_34)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_34))))]]) ).
cnf(refute_0_528,plain,
multiply(X_34,additive_identity) = additive_identity,
inference(subst,[],[refute_0_432:[bind(X_11,$fot(X_34))]]) ).
cnf(refute_0_529,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)))]]) ).
cnf(refute_0_530,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_531,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( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),add(inverse(inverse(X_34)),multiply(X_34,additive_identity))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = add(inverse(inverse(X_34)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_34,additive_identity),additive_identity) )],[refute_0_528,refute_0_531]) ).
cnf(refute_0_533,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != add(inverse(inverse(X_34)),additive_identity)
| add(inverse(inverse(X_34)),additive_identity) != inverse(inverse(X_34))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = inverse(inverse(X_34)) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_534,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( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),add(inverse(inverse(X_34)),additive_identity)) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) = inverse(inverse(X_34)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),additive_identity),inverse(inverse(X_34))) )],[refute_0_527,refute_0_534]) ).
cnf(refute_0_536,plain,
( add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != multiply(X_34,inverse(inverse(X_34)))
| add(inverse(inverse(X_34)),multiply(X_34,additive_identity)) != inverse(inverse(X_34))
| inverse(inverse(X_34)) = multiply(X_34,inverse(inverse(X_34))) ),
introduced(tautology,[equality,[$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_537,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( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),inverse(inverse(X_34))) )],[refute_0_535,refute_0_536]) ).
cnf(refute_0_538,plain,
inverse(inverse(X_34)) = multiply(X_34,inverse(inverse(X_34))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_34)),multiply(X_34,additive_identity)),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_526,refute_0_537]) ).
cnf(refute_0_539,plain,
( inverse(inverse(X_34)) != multiply(X_34,inverse(inverse(X_34)))
| multiply(X_34,inverse(inverse(X_34))) = inverse(inverse(X_34)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(inverse(X_34)))),bind(Y0,$fot(multiply(X_34,inverse(inverse(X_34)))))]]) ).
cnf(refute_0_540,plain,
multiply(X_34,inverse(inverse(X_34))) = inverse(inverse(X_34)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_34)),multiply(X_34,inverse(inverse(X_34)))) )],[refute_0_538,refute_0_539]) ).
cnf(refute_0_541,plain,
multiply(X_64,inverse(inverse(X_64))) = inverse(inverse(X_64)),
inference(subst,[],[refute_0_540:[bind(X_34,$fot(X_64))]]) ).
cnf(refute_0_542,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,$fot(inverse(X_39)))]]) ).
cnf(refute_0_543,plain,
( multiply(X_39,add(X_40,inverse(X_39))) != add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))
| multiply(X_39,inverse(X_39)) != additive_identity
| multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),additive_identity) ),
introduced(tautology,[equality,[$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_544,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( $equal(multiply(X_39,inverse(X_39)),additive_identity) )],[refute_0_99,refute_0_543]) ).
cnf(refute_0_545,plain,
multiply(X_39,add(X_40,inverse(X_39))) = add(multiply(X_39,X_40),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,inverse(X_39))),add(multiply(X_39,X_40),multiply(X_39,inverse(X_39)))) )],[refute_0_542,refute_0_544]) ).
cnf(refute_0_546,plain,
add(multiply(X_39,X_40),additive_identity) = multiply(X_39,X_40),
inference(subst,[],[additive_id1:[bind(X,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_547,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_548,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( $equal(add(multiply(X_39,X_40),additive_identity),multiply(X_39,X_40)) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
multiply(X_39,add(X_40,inverse(X_39))) = multiply(X_39,X_40),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,inverse(X_39))),add(multiply(X_39,X_40),additive_identity)) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = multiply(X_64,inverse(inverse(X_64))),
inference(subst,[],[refute_0_549:[bind(X_39,$fot(X_64)),bind(X_40,$fot(inverse(inverse(X_64))))]]) ).
cnf(refute_0_551,plain,
( multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) != multiply(X_64,inverse(inverse(X_64)))
| multiply(X_64,inverse(inverse(X_64))) != inverse(inverse(X_64))
| multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = inverse(inverse(X_64)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))))),bind(Y0,$fot(multiply(X_64,inverse(inverse(X_64))))),bind(Z0,$fot(inverse(inverse(X_64))))]]) ).
cnf(refute_0_552,plain,
( multiply(X_64,inverse(inverse(X_64))) != inverse(inverse(X_64))
| multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = inverse(inverse(X_64)) ),
inference(resolve,[$cnf( $equal(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))),multiply(X_64,inverse(inverse(X_64)))) )],[refute_0_550,refute_0_551]) ).
cnf(refute_0_553,plain,
multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) = inverse(inverse(X_64)),
inference(resolve,[$cnf( $equal(multiply(X_64,inverse(inverse(X_64))),inverse(inverse(X_64))) )],[refute_0_541,refute_0_552]) ).
cnf(refute_0_554,plain,
( multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) != add(inverse(inverse(X_64)),X_64)
| multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) != inverse(inverse(X_64))
| inverse(inverse(X_64)) = add(inverse(inverse(X_64)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))),add(inverse(inverse(X_64)),X_64)) ),[0],$fot(inverse(inverse(X_64)))]]) ).
cnf(refute_0_555,plain,
( multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) != add(inverse(inverse(X_64)),X_64)
| inverse(inverse(X_64)) = add(inverse(inverse(X_64)),X_64) ),
inference(resolve,[$cnf( $equal(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))),inverse(inverse(X_64))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
( X_18 != add(X_18,inverse(inverse(X_18)))
| add(X_18,inverse(inverse(X_18))) = X_18 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_18)),bind(Y0,$fot(add(X_18,inverse(inverse(X_18)))))]]) ).
cnf(refute_0_557,plain,
add(X_18,inverse(inverse(X_18))) = X_18,
inference(resolve,[$cnf( $equal(X_18,add(X_18,inverse(inverse(X_18)))) )],[refute_0_501,refute_0_556]) ).
cnf(refute_0_558,plain,
add(X_64,inverse(inverse(X_64))) = X_64,
inference(subst,[],[refute_0_557:[bind(X_18,$fot(X_64))]]) ).
cnf(refute_0_559,plain,
add(inverse(inverse(X_64)),X_64) = add(X_64,inverse(inverse(X_64))),
inference(subst,[],[refute_0_62:[bind(X,$fot(X_64)),bind(Y,$fot(inverse(inverse(X_64))))]]) ).
cnf(refute_0_560,plain,
( add(X_64,inverse(inverse(X_64))) != X_64
| add(inverse(inverse(X_64)),X_64) != add(X_64,inverse(inverse(X_64)))
| add(inverse(inverse(X_64)),X_64) = X_64 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(inverse(X_64)),X_64))),bind(Y0,$fot(add(X_64,inverse(inverse(X_64))))),bind(Z0,$fot(X_64))]]) ).
cnf(refute_0_561,plain,
( add(X_64,inverse(inverse(X_64))) != X_64
| add(inverse(inverse(X_64)),X_64) = X_64 ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),X_64),add(X_64,inverse(inverse(X_64)))) )],[refute_0_559,refute_0_560]) ).
cnf(refute_0_562,plain,
add(inverse(inverse(X_64)),X_64) = X_64,
inference(resolve,[$cnf( $equal(add(X_64,inverse(inverse(X_64))),X_64) )],[refute_0_558,refute_0_561]) ).
cnf(refute_0_563,plain,
( add(inverse(inverse(X_64)),X_64) != X_64
| inverse(inverse(X_64)) != add(inverse(inverse(X_64)),X_64)
| inverse(inverse(X_64)) = X_64 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_64)),add(inverse(inverse(X_64)),X_64)) ),[1],$fot(X_64)]]) ).
cnf(refute_0_564,plain,
( inverse(inverse(X_64)) != add(inverse(inverse(X_64)),X_64)
| inverse(inverse(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),X_64),X_64) )],[refute_0_562,refute_0_563]) ).
cnf(refute_0_565,plain,
( multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))) != add(inverse(inverse(X_64)),X_64)
| inverse(inverse(X_64)) = X_64 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),add(inverse(inverse(X_64)),X_64)) )],[refute_0_555,refute_0_564]) ).
cnf(refute_0_566,plain,
inverse(inverse(X_64)) = X_64,
inference(resolve,[$cnf( $equal(multiply(X_64,add(inverse(inverse(X_64)),inverse(X_64))),add(inverse(inverse(X_64)),X_64)) )],[refute_0_515,refute_0_565]) ).
cnf(refute_0_567,plain,
( inverse(X_64) != multiply(inverse(X_64),inverse(multiply(inverse(inverse(X_64)),X_94)))
| inverse(inverse(X_64)) != X_64
| inverse(X_64) = multiply(inverse(X_64),inverse(multiply(X_64,X_94))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_64),multiply(inverse(X_64),inverse(multiply(inverse(inverse(X_64)),X_94)))) ),[1,1,0,0],$fot(X_64)]]) ).
cnf(refute_0_568,plain,
( inverse(X_64) != multiply(inverse(X_64),inverse(multiply(inverse(inverse(X_64)),X_94)))
| inverse(X_64) = multiply(inverse(X_64),inverse(multiply(X_64,X_94))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_566,refute_0_567]) ).
cnf(refute_0_569,plain,
inverse(X_64) = multiply(inverse(X_64),inverse(multiply(X_64,X_94))),
inference(resolve,[$cnf( $equal(inverse(X_64),multiply(inverse(X_64),inverse(multiply(inverse(inverse(X_64)),X_94)))) )],[refute_0_484,refute_0_568]) ).
cnf(refute_0_570,plain,
inverse(X_96) = multiply(inverse(X_96),inverse(multiply(X_96,X_97))),
inference(subst,[],[refute_0_569:[bind(X_64,$fot(X_96)),bind(X_94,$fot(X_97))]]) ).
cnf(refute_0_571,plain,
multiply(X_97,X_96) = multiply(X_96,X_97),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_97)),bind(Y,$fot(X_96))]]) ).
cnf(refute_0_572,plain,
( multiply(X_97,X_96) != multiply(X_96,X_97)
| multiply(X_96,X_97) = multiply(X_97,X_96) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_97,X_96))),bind(Y0,$fot(multiply(X_96,X_97)))]]) ).
cnf(refute_0_573,plain,
multiply(X_96,X_97) = multiply(X_97,X_96),
inference(resolve,[$cnf( $equal(multiply(X_97,X_96),multiply(X_96,X_97)) )],[refute_0_571,refute_0_572]) ).
cnf(refute_0_574,plain,
( multiply(X_96,X_97) != multiply(X_97,X_96)
| inverse(X_96) != multiply(inverse(X_96),inverse(multiply(X_96,X_97)))
| inverse(X_96) = multiply(inverse(X_96),inverse(multiply(X_97,X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_96),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) ),[1,1,0],$fot(multiply(X_97,X_96))]]) ).
cnf(refute_0_575,plain,
( inverse(X_96) != multiply(inverse(X_96),inverse(multiply(X_96,X_97)))
| inverse(X_96) = multiply(inverse(X_96),inverse(multiply(X_97,X_96))) ),
inference(resolve,[$cnf( $equal(multiply(X_96,X_97),multiply(X_97,X_96)) )],[refute_0_573,refute_0_574]) ).
cnf(refute_0_576,plain,
inverse(X_96) = multiply(inverse(X_96),inverse(multiply(X_97,X_96))),
inference(resolve,[$cnf( $equal(inverse(X_96),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) )],[refute_0_570,refute_0_575]) ).
cnf(refute_0_577,plain,
inverse(multiply(X_115,X_116)) = multiply(inverse(multiply(X_115,X_116)),inverse(multiply(multiply(X_116,X_115),multiply(X_115,X_116)))),
inference(subst,[],[refute_0_576:[bind(X_96,$fot(multiply(X_115,X_116))),bind(X_97,$fot(multiply(X_116,X_115)))]]) ).
cnf(refute_0_578,plain,
multiply(multiply(X_111,X_110),add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)),
inference(subst,[],[refute_0_549:[bind(X_39,$fot(multiply(X_111,X_110))),bind(X_40,$fot(multiply(X_110,X_111)))]]) ).
cnf(refute_0_579,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_87)),add(inverse(X_87),multiply(X_86,X_87))),
inference(subst,[],[refute_0_457:[bind(X_22,$fot(inverse(X_87))),bind(X_65,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_580,plain,
add(inverse(X_61),multiply(X_60,X_61)) = multiply(add(inverse(X_61),X_60),add(X_61,inverse(X_61))),
inference(subst,[],[refute_0_491:[bind(X_10,$fot(inverse(X_61))),bind(X_11,$fot(X_60)),bind(X_12,$fot(X_61))]]) ).
cnf(refute_0_581,plain,
add(X_61,inverse(X_61)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_61))]]) ).
cnf(refute_0_582,plain,
( add(X_61,inverse(X_61)) != multiplicative_identity
| add(inverse(X_61),multiply(X_60,X_61)) != multiply(add(inverse(X_61),X_60),add(X_61,inverse(X_61)))
| add(inverse(X_61),multiply(X_60,X_61)) = multiply(add(inverse(X_61),X_60),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_61),multiply(X_60,X_61)),multiply(add(inverse(X_61),X_60),add(X_61,inverse(X_61)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_583,plain,
( add(inverse(X_61),multiply(X_60,X_61)) != multiply(add(inverse(X_61),X_60),add(X_61,inverse(X_61)))
| add(inverse(X_61),multiply(X_60,X_61)) = multiply(add(inverse(X_61),X_60),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_61,inverse(X_61)),multiplicative_identity) )],[refute_0_581,refute_0_582]) ).
cnf(refute_0_584,plain,
add(inverse(X_61),multiply(X_60,X_61)) = multiply(add(inverse(X_61),X_60),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(inverse(X_61),multiply(X_60,X_61)),multiply(add(inverse(X_61),X_60),add(X_61,inverse(X_61)))) )],[refute_0_580,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(add(inverse(X_61),X_60),multiplicative_identity) = add(inverse(X_61),X_60),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(inverse(X_61),X_60)))]]) ).
cnf(refute_0_586,plain,
( multiply(add(inverse(X_61),X_60),multiplicative_identity) != add(inverse(X_61),X_60)
| add(inverse(X_61),multiply(X_60,X_61)) != multiply(add(inverse(X_61),X_60),multiplicative_identity)
| add(inverse(X_61),multiply(X_60,X_61)) = add(inverse(X_61),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_61),multiply(X_60,X_61)),multiply(add(inverse(X_61),X_60),multiplicative_identity)) ),[1],$fot(add(inverse(X_61),X_60))]]) ).
cnf(refute_0_587,plain,
( add(inverse(X_61),multiply(X_60,X_61)) != multiply(add(inverse(X_61),X_60),multiplicative_identity)
| add(inverse(X_61),multiply(X_60,X_61)) = add(inverse(X_61),X_60) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_61),X_60),multiplicative_identity),add(inverse(X_61),X_60)) )],[refute_0_585,refute_0_586]) ).
cnf(refute_0_588,plain,
add(inverse(X_61),multiply(X_60,X_61)) = add(inverse(X_61),X_60),
inference(resolve,[$cnf( $equal(add(inverse(X_61),multiply(X_60,X_61)),multiply(add(inverse(X_61),X_60),multiplicative_identity)) )],[refute_0_584,refute_0_587]) ).
cnf(refute_0_589,plain,
add(inverse(X_87),multiply(X_86,X_87)) = add(inverse(X_87),X_86),
inference(subst,[],[refute_0_588:[bind(X_60,$fot(X_86)),bind(X_61,$fot(X_87))]]) ).
cnf(refute_0_590,plain,
( add(inverse(X_87),multiply(X_86,X_87)) != add(inverse(X_87),X_86)
| multiplicative_identity != add(inverse(multiply(X_86,X_87)),add(inverse(X_87),multiply(X_86,X_87)))
| multiplicative_identity = add(inverse(multiply(X_86,X_87)),add(inverse(X_87),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_87)),add(inverse(X_87),multiply(X_86,X_87)))) ),[1,1],$fot(add(inverse(X_87),X_86))]]) ).
cnf(refute_0_591,plain,
( multiplicative_identity != add(inverse(multiply(X_86,X_87)),add(inverse(X_87),multiply(X_86,X_87)))
| multiplicative_identity = add(inverse(multiply(X_86,X_87)),add(inverse(X_87),X_86)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_87),multiply(X_86,X_87)),add(inverse(X_87),X_86)) )],[refute_0_589,refute_0_590]) ).
cnf(refute_0_592,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_87)),add(inverse(X_87),X_86)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_87)),add(inverse(X_87),multiply(X_86,X_87)))) )],[refute_0_579,refute_0_591]) ).
cnf(refute_0_593,plain,
multiplicative_identity = add(inverse(multiply(X_86,add(inverse(X_86),X_93))),add(inverse(add(inverse(X_86),X_93)),X_86)),
inference(subst,[],[refute_0_592:[bind(X_87,$fot(add(inverse(X_86),X_93)))]]) ).
cnf(refute_0_594,plain,
multiply(X_86,add(inverse(X_86),X_93)) = multiply(X_86,X_93),
inference(subst,[],[refute_0_110:[bind(X_39,$fot(X_86)),bind(X_41,$fot(X_93))]]) ).
cnf(refute_0_595,plain,
( multiply(X_86,add(inverse(X_86),X_93)) != multiply(X_86,X_93)
| multiplicative_identity != add(inverse(multiply(X_86,add(inverse(X_86),X_93))),add(inverse(add(inverse(X_86),X_93)),X_86))
| multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,add(inverse(X_86),X_93))),add(inverse(add(inverse(X_86),X_93)),X_86))) ),[1,0,0],$fot(multiply(X_86,X_93))]]) ).
cnf(refute_0_596,plain,
( multiplicative_identity != add(inverse(multiply(X_86,add(inverse(X_86),X_93))),add(inverse(add(inverse(X_86),X_93)),X_86))
| multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) ),
inference(resolve,[$cnf( $equal(multiply(X_86,add(inverse(X_86),X_93)),multiply(X_86,X_93)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,add(inverse(X_86),X_93))),add(inverse(add(inverse(X_86),X_93)),X_86))) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
add(inverse(add(inverse(X_86),X_93)),X_86) = add(X_86,inverse(add(inverse(X_86),X_93))),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(X_86)),bind(X_12,$fot(inverse(add(inverse(X_86),X_93))))]]) ).
cnf(refute_0_599,plain,
add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) = add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)),
introduced(tautology,[refl,[$fot(add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)))]]) ).
cnf(refute_0_600,plain,
( add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) != add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))
| add(inverse(add(inverse(X_86),X_93)),X_86) != add(X_86,inverse(add(inverse(X_86),X_93)))
| add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)),add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))) ),[1,1],$fot(add(X_86,inverse(add(inverse(X_86),X_93))))]]) ).
cnf(refute_0_601,plain,
( add(inverse(add(inverse(X_86),X_93)),X_86) != add(X_86,inverse(add(inverse(X_86),X_93)))
| add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)),add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))) )],[refute_0_599,refute_0_600]) ).
cnf(refute_0_602,plain,
add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_86),X_93)),X_86),add(X_86,inverse(add(inverse(X_86),X_93)))) )],[refute_0_598,refute_0_601]) ).
cnf(refute_0_603,plain,
( add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)) != add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93))))
| multiplicative_identity != add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))
| multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))) ),[1],$fot(add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))))]]) ).
cnf(refute_0_604,plain,
( multiplicative_identity != add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))
| multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86)),add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93))))) )],[refute_0_602,refute_0_603]) ).
cnf(refute_0_605,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_93)),add(X_86,inverse(add(inverse(X_86),X_93)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_93)),add(inverse(add(inverse(X_86),X_93)),X_86))) )],[refute_0_597,refute_0_604]) ).
cnf(refute_0_606,plain,
multiplicative_identity = add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108)))))),
inference(subst,[],[refute_0_605:[bind(X_86,$fot(multiply(X_108,X_107))),bind(X_93,$fot(add(X_109,multiply(X_107,X_108))))]]) ).
cnf(refute_0_607,plain,
multiplicative_identity = add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_106,X_105))),
inference(subst,[],[refute_0_457:[bind(X_65,$fot(multiply(X_106,X_105)))]]) ).
cnf(refute_0_608,plain,
add(X_22,multiply(X_106,X_105)) = add(X_22,multiply(X_105,X_106)),
inference(subst,[],[refute_0_374:[bind(X_10,$fot(X_22)),bind(X_11,$fot(X_105)),bind(X_12,$fot(X_106))]]) ).
cnf(refute_0_609,plain,
( add(X_22,multiply(X_106,X_105)) != add(X_22,multiply(X_105,X_106))
| multiplicative_identity != add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_106,X_105)))
| multiplicative_identity = add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_105,X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_106,X_105)))) ),[1,1],$fot(add(X_22,multiply(X_105,X_106)))]]) ).
cnf(refute_0_610,plain,
( multiplicative_identity != add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_106,X_105)))
| multiplicative_identity = add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_105,X_106))) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_106,X_105)),add(X_22,multiply(X_105,X_106))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiplicative_identity = add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_105,X_106))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_106,X_105)),add(X_22,multiply(X_106,X_105)))) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
multiplicative_identity = add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))),
inference(subst,[],[refute_0_611:[bind(X_105,$fot(X_107)),bind(X_106,$fot(X_108)),bind(X_22,$fot(X_109))]]) ).
cnf(refute_0_613,plain,
( multiplicative_identity != add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108)))
| add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108)))))]]) ).
cnf(refute_0_614,plain,
add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108)))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
( add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))) != multiplicative_identity
| multiplicative_identity != add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))))))
| multiplicative_identity = add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))))))) ),[1,1,1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_616,plain,
( multiplicative_identity != add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))))))
| multiplicative_identity = add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))),multiplicative_identity) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
multiplicative_identity = add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(add(inverse(multiply(X_108,X_107)),add(X_109,multiply(X_107,X_108))))))) )],[refute_0_606,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(X_106,X_105) = multiply(multiply(X_106,X_105),add(X_22,multiply(X_106,X_105))),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(multiply(X_106,X_105)))]]) ).
cnf(refute_0_619,plain,
( multiply(X_106,X_105) != multiply(multiply(X_106,X_105),add(X_22,multiply(X_106,X_105)))
| add(X_22,multiply(X_106,X_105)) != add(X_22,multiply(X_105,X_106))
| multiply(X_106,X_105) = multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_106,X_105),multiply(multiply(X_106,X_105),add(X_22,multiply(X_106,X_105)))) ),[1,1],$fot(add(X_22,multiply(X_105,X_106)))]]) ).
cnf(refute_0_620,plain,
( multiply(X_106,X_105) != multiply(multiply(X_106,X_105),add(X_22,multiply(X_106,X_105)))
| multiply(X_106,X_105) = multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106))) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_106,X_105)),add(X_22,multiply(X_105,X_106))) )],[refute_0_608,refute_0_619]) ).
cnf(refute_0_621,plain,
multiply(X_106,X_105) = multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106))),
inference(resolve,[$cnf( $equal(multiply(X_106,X_105),multiply(multiply(X_106,X_105),add(X_22,multiply(X_106,X_105)))) )],[refute_0_618,refute_0_620]) ).
cnf(refute_0_622,plain,
( multiply(X_106,X_105) != multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106)))
| multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106))) = multiply(X_106,X_105) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_106,X_105))),bind(Y0,$fot(multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106)))))]]) ).
cnf(refute_0_623,plain,
multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106))) = multiply(X_106,X_105),
inference(resolve,[$cnf( $equal(multiply(X_106,X_105),multiply(multiply(X_106,X_105),add(X_22,multiply(X_105,X_106)))) )],[refute_0_621,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))) = multiply(X_108,X_107),
inference(subst,[],[refute_0_623:[bind(X_105,$fot(X_107)),bind(X_106,$fot(X_108)),bind(X_22,$fot(X_109))]]) ).
cnf(refute_0_625,plain,
inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) = inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))]]) ).
cnf(refute_0_626,plain,
( multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))) != multiply(X_108,X_107)
| inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) != inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))
| inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) = inverse(multiply(X_108,X_107)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) ),[1,0],$fot(multiply(X_108,X_107))]]) ).
cnf(refute_0_627,plain,
( multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))) != multiply(X_108,X_107)
| inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) = inverse(multiply(X_108,X_107)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) = inverse(multiply(X_108,X_107)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))),multiply(X_108,X_107)) )],[refute_0_624,refute_0_627]) ).
cnf(refute_0_629,plain,
add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),
introduced(tautology,[refl,[$fot(add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))]]) ).
cnf(refute_0_630,plain,
( add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))
| inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) != inverse(multiply(X_108,X_107))
| add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) ),[1,1],$fot(inverse(multiply(X_108,X_107)))]]) ).
cnf(refute_0_631,plain,
( inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))) != inverse(multiply(X_108,X_107))
| add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),inverse(multiply(X_108,X_107))) )],[refute_0_628,refute_0_631]) ).
cnf(refute_0_633,plain,
add(additive_identity,multiply(X_107,X_108)) = multiply(X_107,X_108),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(X_107,X_108)))]]) ).
cnf(refute_0_634,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(multiplicative_identity))]]) ).
cnf(refute_0_635,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = inverse(multiplicative_identity),
inference(subst,[],[refute_0_37:[bind(X,$fot(inverse(multiplicative_identity)))]]) ).
cnf(refute_0_636,plain,
( multiply(multiplicative_identity,inverse(multiplicative_identity)) != additive_identity
| multiply(multiplicative_identity,inverse(multiplicative_identity)) != inverse(multiplicative_identity)
| inverse(multiplicative_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) ),[0],$fot(inverse(multiplicative_identity))]]) ).
cnf(refute_0_637,plain,
( multiply(multiplicative_identity,inverse(multiplicative_identity)) != additive_identity
| inverse(multiplicative_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),inverse(multiplicative_identity)) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
inverse(multiplicative_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
add(inverse(multiplicative_identity),multiply(X_107,X_108)) = add(inverse(multiplicative_identity),multiply(X_107,X_108)),
introduced(tautology,[refl,[$fot(add(inverse(multiplicative_identity),multiply(X_107,X_108)))]]) ).
cnf(refute_0_640,plain,
( add(inverse(multiplicative_identity),multiply(X_107,X_108)) != add(inverse(multiplicative_identity),multiply(X_107,X_108))
| inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) = add(additive_identity,multiply(X_107,X_108)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiplicative_identity),multiply(X_107,X_108)),add(inverse(multiplicative_identity),multiply(X_107,X_108))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_641,plain,
( inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) = add(additive_identity,multiply(X_107,X_108)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),multiply(X_107,X_108)),add(inverse(multiplicative_identity),multiply(X_107,X_108))) )],[refute_0_639,refute_0_640]) ).
cnf(refute_0_642,plain,
add(inverse(multiplicative_identity),multiply(X_107,X_108)) = add(additive_identity,multiply(X_107,X_108)),
inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_638,refute_0_641]) ).
cnf(refute_0_643,plain,
( add(additive_identity,multiply(X_107,X_108)) != multiply(X_107,X_108)
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) != add(additive_identity,multiply(X_107,X_108))
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) = multiply(X_107,X_108) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(multiplicative_identity),multiply(X_107,X_108)))),bind(Y0,$fot(add(additive_identity,multiply(X_107,X_108)))),bind(Z0,$fot(multiply(X_107,X_108)))]]) ).
cnf(refute_0_644,plain,
( add(additive_identity,multiply(X_107,X_108)) != multiply(X_107,X_108)
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) = multiply(X_107,X_108) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),multiply(X_107,X_108)),add(additive_identity,multiply(X_107,X_108))) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
add(inverse(multiplicative_identity),multiply(X_107,X_108)) = multiply(X_107,X_108),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_107,X_108)),multiply(X_107,X_108)) )],[refute_0_633,refute_0_644]) ).
cnf(refute_0_646,plain,
add(multiply(X_106,X_105),Y) = add(Y,multiply(X_106,X_105)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_106,X_105)))]]) ).
cnf(refute_0_647,plain,
add(Y,multiply(X_106,X_105)) = add(Y,multiply(X_105,X_106)),
inference(subst,[],[refute_0_374:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_105)),bind(X_12,$fot(X_106))]]) ).
cnf(refute_0_648,plain,
( add(Y,multiply(X_106,X_105)) != add(Y,multiply(X_105,X_106))
| add(multiply(X_106,X_105),Y) != add(Y,multiply(X_106,X_105))
| add(multiply(X_106,X_105),Y) = add(Y,multiply(X_105,X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_106,X_105),Y),add(Y,multiply(X_106,X_105))) ),[1],$fot(add(Y,multiply(X_105,X_106)))]]) ).
cnf(refute_0_649,plain,
( add(multiply(X_106,X_105),Y) != add(Y,multiply(X_106,X_105))
| add(multiply(X_106,X_105),Y) = add(Y,multiply(X_105,X_106)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_106,X_105)),add(Y,multiply(X_105,X_106))) )],[refute_0_647,refute_0_648]) ).
cnf(refute_0_650,plain,
add(multiply(X_106,X_105),Y) = add(Y,multiply(X_105,X_106)),
inference(resolve,[$cnf( $equal(add(multiply(X_106,X_105),Y),add(Y,multiply(X_106,X_105))) )],[refute_0_646,refute_0_649]) ).
cnf(refute_0_651,plain,
add(multiply(X_108,X_107),inverse(multiplicative_identity)) = add(inverse(multiplicative_identity),multiply(X_107,X_108)),
inference(subst,[],[refute_0_650:[bind(Y,$fot(inverse(multiplicative_identity))),bind(X_105,$fot(X_107)),bind(X_106,$fot(X_108))]]) ).
cnf(refute_0_652,plain,
( add(multiply(X_108,X_107),inverse(multiplicative_identity)) != add(inverse(multiplicative_identity),multiply(X_107,X_108))
| add(inverse(multiplicative_identity),multiply(X_107,X_108)) != multiply(X_107,X_108)
| add(multiply(X_108,X_107),inverse(multiplicative_identity)) = multiply(X_107,X_108) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X_108,X_107),inverse(multiplicative_identity)))),bind(Y0,$fot(add(inverse(multiplicative_identity),multiply(X_107,X_108)))),bind(Z0,$fot(multiply(X_107,X_108)))]]) ).
cnf(refute_0_653,plain,
( add(inverse(multiplicative_identity),multiply(X_107,X_108)) != multiply(X_107,X_108)
| add(multiply(X_108,X_107),inverse(multiplicative_identity)) = multiply(X_107,X_108) ),
inference(resolve,[$cnf( $equal(add(multiply(X_108,X_107),inverse(multiplicative_identity)),add(inverse(multiplicative_identity),multiply(X_107,X_108))) )],[refute_0_651,refute_0_652]) ).
cnf(refute_0_654,plain,
add(multiply(X_108,X_107),inverse(multiplicative_identity)) = multiply(X_107,X_108),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),multiply(X_107,X_108)),multiply(X_107,X_108)) )],[refute_0_645,refute_0_653]) ).
cnf(refute_0_655,plain,
add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),
introduced(tautology,[refl,[$fot(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))]]) ).
cnf(refute_0_656,plain,
( add(multiply(X_108,X_107),inverse(multiplicative_identity)) != multiply(X_107,X_108)
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) ),[1,0],$fot(multiply(X_107,X_108))]]) ).
cnf(refute_0_657,plain,
( add(multiply(X_108,X_107),inverse(multiplicative_identity)) != multiply(X_107,X_108)
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),
inference(resolve,[$cnf( $equal(add(multiply(X_108,X_107),inverse(multiplicative_identity)),multiply(X_107,X_108)) )],[refute_0_654,refute_0_657]) ).
cnf(refute_0_659,plain,
( add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))),bind(Y0,$fot(add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))),bind(Z0,$fot(add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))))]]) ).
cnf(refute_0_660,plain,
( add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))
| add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))),
inference(resolve,[$cnf( $equal(add(multiply(X_107,X_108),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))) )],[refute_0_632,refute_0_660]) ).
cnf(refute_0_662,plain,
add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) = add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(add(multiply(X_108,X_107),inverse(multiplicative_identity)))),bind(X_12,$fot(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))]]) ).
cnf(refute_0_663,plain,
( add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))
| add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) != add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))
| add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))))),bind(Y0,$fot(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))))),bind(Z0,$fot(add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))))]]) ).
cnf(refute_0_664,plain,
( add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))) != add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))
| add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))),add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))),
inference(resolve,[$cnf( $equal(add(add(multiply(X_108,X_107),inverse(multiplicative_identity)),inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108))))),add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
( add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))) != add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))
| multiplicative_identity != add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity)))
| multiplicative_identity = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity)))) ),[1],$fot(add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))))]]) ).
cnf(refute_0_667,plain,
( multiplicative_identity != add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity)))
| multiplicative_identity = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity))),add(multiply(X_107,X_108),inverse(multiply(X_108,X_107)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
multiplicative_identity = add(multiply(X_107,X_108),inverse(multiply(X_108,X_107))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(multiply(X_108,X_107),add(X_109,multiply(X_107,X_108)))),add(multiply(X_108,X_107),inverse(multiplicative_identity)))) )],[refute_0_617,refute_0_667]) ).
cnf(refute_0_669,plain,
multiplicative_identity = add(multiply(X_110,X_111),inverse(multiply(X_111,X_110))),
inference(subst,[],[refute_0_668:[bind(X_107,$fot(X_110)),bind(X_108,$fot(X_111))]]) ).
cnf(refute_0_670,plain,
( multiplicative_identity != add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))
| add(multiply(X_110,X_111),inverse(multiply(X_111,X_110))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))))]]) ).
cnf(refute_0_671,plain,
add(multiply(X_110,X_111),inverse(multiply(X_111,X_110))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))) )],[refute_0_669,refute_0_670]) ).
cnf(refute_0_672,plain,
( multiply(multiply(X_111,X_110),add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))) != multiply(multiply(X_111,X_110),multiply(X_110,X_111))
| add(multiply(X_110,X_111),inverse(multiply(X_111,X_110))) != multiplicative_identity
| multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_111,X_110),add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))),multiply(multiply(X_111,X_110),multiply(X_110,X_111))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_673,plain,
( multiply(multiply(X_111,X_110),add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))) != multiply(multiply(X_111,X_110),multiply(X_110,X_111))
| multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_110,X_111),inverse(multiply(X_111,X_110))),multiplicative_identity) )],[refute_0_671,refute_0_672]) ).
cnf(refute_0_674,plain,
multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_110),add(multiply(X_110,X_111),inverse(multiply(X_111,X_110)))),multiply(multiply(X_111,X_110),multiply(X_110,X_111))) )],[refute_0_578,refute_0_673]) ).
cnf(refute_0_675,plain,
multiply(multiplicative_identity,multiply(X_111,X_110)) = multiply(X_111,X_110),
inference(subst,[],[refute_0_37:[bind(X,$fot(multiply(X_111,X_110)))]]) ).
cnf(refute_0_676,plain,
multiply(X_81,X_82) = multiply(multiply(X_81,X_82),add(inverse(inverse(X_82)),multiply(X_81,X_82))),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(multiply(X_81,X_82))),bind(X_22,$fot(inverse(inverse(X_82))))]]) ).
cnf(refute_0_677,plain,
add(inverse(inverse(X_82)),multiply(X_81,X_82)) = multiply(X_82,add(inverse(inverse(X_82)),X_81)),
inference(subst,[],[refute_0_511:[bind(X_60,$fot(X_81)),bind(X_61,$fot(X_82))]]) ).
cnf(refute_0_678,plain,
( multiply(X_81,X_82) != multiply(multiply(X_81,X_82),add(inverse(inverse(X_82)),multiply(X_81,X_82)))
| add(inverse(inverse(X_82)),multiply(X_81,X_82)) != multiply(X_82,add(inverse(inverse(X_82)),X_81))
| multiply(X_81,X_82) = multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_81,X_82),multiply(multiply(X_81,X_82),add(inverse(inverse(X_82)),multiply(X_81,X_82)))) ),[1,1],$fot(multiply(X_82,add(inverse(inverse(X_82)),X_81)))]]) ).
cnf(refute_0_679,plain,
( multiply(X_81,X_82) != multiply(multiply(X_81,X_82),add(inverse(inverse(X_82)),multiply(X_81,X_82)))
| multiply(X_81,X_82) = multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_82)),multiply(X_81,X_82)),multiply(X_82,add(inverse(inverse(X_82)),X_81))) )],[refute_0_677,refute_0_678]) ).
cnf(refute_0_680,plain,
multiply(X_81,X_82) = multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),
inference(resolve,[$cnf( $equal(multiply(X_81,X_82),multiply(multiply(X_81,X_82),add(inverse(inverse(X_82)),multiply(X_81,X_82)))) )],[refute_0_676,refute_0_679]) ).
cnf(refute_0_681,plain,
add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(multiply(Y,X_34),add(X_34,multiply(Y,X_34))),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(multiply(Y,X_34))),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_682,plain,
add(X_34,multiply(Y,X_34)) = multiply(X_34,add(X_34,Y)),
inference(subst,[],[refute_0_124:[bind(Z,$fot(X_34))]]) ).
cnf(refute_0_683,plain,
( add(X_34,multiply(Y,X_34)) != multiply(X_34,add(X_34,Y))
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(multiply(Y,X_34),add(X_34,multiply(Y,X_34)))
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(multiply(Y,X_34),add(X_34,multiply(Y,X_34)))) ),[1,1],$fot(multiply(X_34,add(X_34,Y)))]]) ).
cnf(refute_0_684,plain,
( add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(multiply(Y,X_34),add(X_34,multiply(Y,X_34)))
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) ),
inference(resolve,[$cnf( $equal(add(X_34,multiply(Y,X_34)),multiply(X_34,add(X_34,Y))) )],[refute_0_682,refute_0_683]) ).
cnf(refute_0_685,plain,
add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(multiply(Y,X_34),add(X_34,multiply(Y,X_34)))) )],[refute_0_681,refute_0_684]) ).
cnf(refute_0_686,plain,
add(Y,additive_identity) = Y,
inference(subst,[],[additive_id1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_687,plain,
multiply(X_34,add(Y,additive_identity)) = multiply(X_34,add(Y,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(X_34,add(Y,additive_identity)))]]) ).
cnf(refute_0_688,plain,
( multiply(X_34,add(Y,additive_identity)) != multiply(X_34,add(Y,additive_identity))
| add(Y,additive_identity) != Y
| multiply(X_34,add(Y,additive_identity)) = multiply(X_34,Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_34,add(Y,additive_identity)),multiply(X_34,add(Y,additive_identity))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_689,plain,
( add(Y,additive_identity) != Y
| multiply(X_34,add(Y,additive_identity)) = multiply(X_34,Y) ),
inference(resolve,[$cnf( $equal(multiply(X_34,add(Y,additive_identity)),multiply(X_34,add(Y,additive_identity))) )],[refute_0_687,refute_0_688]) ).
cnf(refute_0_690,plain,
multiply(X_34,add(Y,additive_identity)) = multiply(X_34,Y),
inference(resolve,[$cnf( $equal(add(Y,additive_identity),Y) )],[refute_0_686,refute_0_689]) ).
cnf(refute_0_691,plain,
multiply(X_39,add(X_40,X_41)) = add(multiply(X_39,X_40),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(X_40)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_692,plain,
multiply(X_40,X_39) = multiply(X_39,X_40),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_40)),bind(Y,$fot(X_39))]]) ).
cnf(refute_0_693,plain,
( multiply(X_40,X_39) != multiply(X_39,X_40)
| multiply(X_39,X_40) = multiply(X_40,X_39) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_40,X_39))),bind(Y0,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_694,plain,
multiply(X_39,X_40) = multiply(X_40,X_39),
inference(resolve,[$cnf( $equal(multiply(X_40,X_39),multiply(X_39,X_40)) )],[refute_0_692,refute_0_693]) ).
cnf(refute_0_695,plain,
( multiply(X_39,X_40) != multiply(X_40,X_39)
| multiply(X_39,add(X_40,X_41)) != add(multiply(X_39,X_40),multiply(X_39,X_41))
| multiply(X_39,add(X_40,X_41)) = add(multiply(X_40,X_39),multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_39,X_41))) ),[1,0],$fot(multiply(X_40,X_39))]]) ).
cnf(refute_0_696,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_40,X_39),multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,X_40),multiply(X_40,X_39)) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
multiply(X_39,add(X_40,X_41)) = add(multiply(X_40,X_39),multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_39,X_41))) )],[refute_0_691,refute_0_696]) ).
cnf(refute_0_698,plain,
( multiply(X_39,add(X_40,X_41)) != add(multiply(X_40,X_39),multiply(X_39,X_41))
| add(multiply(X_40,X_39),multiply(X_39,X_41)) = multiply(X_39,add(X_40,X_41)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_39,add(X_40,X_41)))),bind(Y0,$fot(add(multiply(X_40,X_39),multiply(X_39,X_41))))]]) ).
cnf(refute_0_699,plain,
add(multiply(X_40,X_39),multiply(X_39,X_41)) = multiply(X_39,add(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_40,X_39),multiply(X_39,X_41))) )],[refute_0_697,refute_0_698]) ).
cnf(refute_0_700,plain,
add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(X_34,add(Y,additive_identity)),
inference(subst,[],[refute_0_699:[bind(X_39,$fot(X_34)),bind(X_40,$fot(Y)),bind(X_41,$fot(additive_identity))]]) ).
cnf(refute_0_701,plain,
( multiply(X_34,add(Y,additive_identity)) != multiply(X_34,Y)
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(X_34,add(Y,additive_identity))
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(X_34,Y) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(Y,X_34),multiply(X_34,additive_identity)))),bind(Y0,$fot(multiply(X_34,add(Y,additive_identity)))),bind(Z0,$fot(multiply(X_34,Y)))]]) ).
cnf(refute_0_702,plain,
( multiply(X_34,add(Y,additive_identity)) != multiply(X_34,Y)
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(X_34,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(X_34,add(Y,additive_identity))) )],[refute_0_700,refute_0_701]) ).
cnf(refute_0_703,plain,
add(multiply(Y,X_34),multiply(X_34,additive_identity)) = multiply(X_34,Y),
inference(resolve,[$cnf( $equal(multiply(X_34,add(Y,additive_identity)),multiply(X_34,Y)) )],[refute_0_690,refute_0_702]) ).
cnf(refute_0_704,plain,
( add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(X_34,Y)
| add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(X_34,Y) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))) ),[0],$fot(multiply(X_34,Y))]]) ).
cnf(refute_0_705,plain,
( add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(X_34,Y) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(X_34,Y)) )],[refute_0_703,refute_0_704]) ).
cnf(refute_0_706,plain,
multiply(multiply(Y,X_34),X_34) = multiply(X_34,multiply(Y,X_34)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_34)),bind(Y,$fot(multiply(Y,X_34)))]]) ).
cnf(refute_0_707,plain,
multiply(X_34,add(X_34,Y)) = X_34,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(X_34)),bind(X_40,$fot(Y))]]) ).
cnf(refute_0_708,plain,
multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),
introduced(tautology,[refl,[$fot(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))))]]) ).
cnf(refute_0_709,plain,
( multiply(X_34,add(X_34,Y)) != X_34
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(multiply(Y,X_34),X_34) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))) ),[1,1],$fot(X_34)]]) ).
cnf(refute_0_710,plain,
( multiply(X_34,add(X_34,Y)) != X_34
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(multiply(Y,X_34),X_34) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(multiply(Y,X_34),X_34),
inference(resolve,[$cnf( $equal(multiply(X_34,add(X_34,Y)),X_34) )],[refute_0_707,refute_0_710]) ).
cnf(refute_0_712,plain,
( multiply(multiply(Y,X_34),X_34) != multiply(X_34,multiply(Y,X_34))
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) != multiply(multiply(Y,X_34),X_34)
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(X_34,multiply(Y,X_34)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))))),bind(Y0,$fot(multiply(multiply(Y,X_34),X_34))),bind(Z0,$fot(multiply(X_34,multiply(Y,X_34))))]]) ).
cnf(refute_0_713,plain,
( multiply(multiply(Y,X_34),X_34) != multiply(X_34,multiply(Y,X_34))
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(X_34,multiply(Y,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),multiply(multiply(Y,X_34),X_34)) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) = multiply(X_34,multiply(Y,X_34)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_34),X_34),multiply(X_34,multiply(Y,X_34))) )],[refute_0_706,refute_0_713]) ).
cnf(refute_0_715,plain,
( multiply(X_34,Y) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))) != multiply(X_34,multiply(Y,X_34))
| multiply(X_34,Y) = multiply(X_34,multiply(Y,X_34)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_34,Y),multiply(X_34,multiply(Y,X_34))) ),[0],$fot(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))))]]) ).
cnf(refute_0_716,plain,
( multiply(X_34,Y) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(X_34,Y) = multiply(X_34,multiply(Y,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y))),multiply(X_34,multiply(Y,X_34))) )],[refute_0_714,refute_0_715]) ).
cnf(refute_0_717,plain,
( add(multiply(Y,X_34),multiply(X_34,additive_identity)) != multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))
| multiply(X_34,Y) = multiply(X_34,multiply(Y,X_34)) ),
inference(resolve,[$cnf( $equal(multiply(X_34,Y),multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))) )],[refute_0_705,refute_0_716]) ).
cnf(refute_0_718,plain,
multiply(X_34,Y) = multiply(X_34,multiply(Y,X_34)),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_34),multiply(X_34,additive_identity)),multiply(multiply(Y,X_34),multiply(X_34,add(X_34,Y)))) )],[refute_0_685,refute_0_717]) ).
cnf(refute_0_719,plain,
( multiply(X_34,Y) != multiply(X_34,multiply(Y,X_34))
| multiply(X_34,multiply(Y,X_34)) = multiply(X_34,Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_34,Y))),bind(Y0,$fot(multiply(X_34,multiply(Y,X_34))))]]) ).
cnf(refute_0_720,plain,
multiply(X_34,multiply(Y,X_34)) = multiply(X_34,Y),
inference(resolve,[$cnf( $equal(multiply(X_34,Y),multiply(X_34,multiply(Y,X_34))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
multiply(X_82,multiply(X_81,X_82)) = multiply(X_82,X_81),
inference(subst,[],[refute_0_720:[bind(Y,$fot(X_81)),bind(X_34,$fot(X_82))]]) ).
cnf(refute_0_722,plain,
multiply(multiply(X_81,X_82),X_82) = multiply(X_82,multiply(X_81,X_82)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_82)),bind(Y,$fot(multiply(X_81,X_82)))]]) ).
cnf(refute_0_723,plain,
( multiply(X_82,multiply(X_81,X_82)) != multiply(X_82,X_81)
| multiply(multiply(X_81,X_82),X_82) != multiply(X_82,multiply(X_81,X_82))
| multiply(multiply(X_81,X_82),X_82) = multiply(X_82,X_81) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_81,X_82),X_82))),bind(Y0,$fot(multiply(X_82,multiply(X_81,X_82)))),bind(Z0,$fot(multiply(X_82,X_81)))]]) ).
cnf(refute_0_724,plain,
( multiply(X_82,multiply(X_81,X_82)) != multiply(X_82,X_81)
| multiply(multiply(X_81,X_82),X_82) = multiply(X_82,X_81) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,X_82),X_82),multiply(X_82,multiply(X_81,X_82))) )],[refute_0_722,refute_0_723]) ).
cnf(refute_0_725,plain,
multiply(multiply(X_81,X_82),X_82) = multiply(X_82,X_81),
inference(resolve,[$cnf( $equal(multiply(X_82,multiply(X_81,X_82)),multiply(X_82,X_81)) )],[refute_0_721,refute_0_724]) ).
cnf(refute_0_726,plain,
multiply(X_82,add(X_82,X_81)) = X_82,
inference(subst,[],[refute_0_72:[bind(X_39,$fot(X_82)),bind(X_40,$fot(X_81))]]) ).
cnf(refute_0_727,plain,
inverse(inverse(X_82)) = X_82,
inference(subst,[],[refute_0_566:[bind(X_64,$fot(X_82))]]) ).
cnf(refute_0_728,plain,
add(inverse(inverse(X_82)),X_81) = add(inverse(inverse(X_82)),X_81),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_82)),X_81))]]) ).
cnf(refute_0_729,plain,
( add(inverse(inverse(X_82)),X_81) != add(inverse(inverse(X_82)),X_81)
| inverse(inverse(X_82)) != X_82
| add(inverse(inverse(X_82)),X_81) = add(X_82,X_81) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_82)),X_81),add(inverse(inverse(X_82)),X_81)) ),[1,0],$fot(X_82)]]) ).
cnf(refute_0_730,plain,
( inverse(inverse(X_82)) != X_82
| add(inverse(inverse(X_82)),X_81) = add(X_82,X_81) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_82)),X_81),add(inverse(inverse(X_82)),X_81)) )],[refute_0_728,refute_0_729]) ).
cnf(refute_0_731,plain,
add(inverse(inverse(X_82)),X_81) = add(X_82,X_81),
inference(resolve,[$cnf( $equal(inverse(inverse(X_82)),X_82) )],[refute_0_727,refute_0_730]) ).
cnf(refute_0_732,plain,
multiply(X_82,add(inverse(inverse(X_82)),X_81)) = multiply(X_82,add(inverse(inverse(X_82)),X_81)),
introduced(tautology,[refl,[$fot(multiply(X_82,add(inverse(inverse(X_82)),X_81)))]]) ).
cnf(refute_0_733,plain,
( multiply(X_82,add(inverse(inverse(X_82)),X_81)) != multiply(X_82,add(inverse(inverse(X_82)),X_81))
| add(inverse(inverse(X_82)),X_81) != add(X_82,X_81)
| multiply(X_82,add(inverse(inverse(X_82)),X_81)) = multiply(X_82,add(X_82,X_81)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_82,add(inverse(inverse(X_82)),X_81)),multiply(X_82,add(inverse(inverse(X_82)),X_81))) ),[1,1],$fot(add(X_82,X_81))]]) ).
cnf(refute_0_734,plain,
( add(inverse(inverse(X_82)),X_81) != add(X_82,X_81)
| multiply(X_82,add(inverse(inverse(X_82)),X_81)) = multiply(X_82,add(X_82,X_81)) ),
inference(resolve,[$cnf( $equal(multiply(X_82,add(inverse(inverse(X_82)),X_81)),multiply(X_82,add(inverse(inverse(X_82)),X_81))) )],[refute_0_732,refute_0_733]) ).
cnf(refute_0_735,plain,
multiply(X_82,add(inverse(inverse(X_82)),X_81)) = multiply(X_82,add(X_82,X_81)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_82)),X_81),add(X_82,X_81)) )],[refute_0_731,refute_0_734]) ).
cnf(refute_0_736,plain,
( multiply(X_82,add(X_82,X_81)) != X_82
| multiply(X_82,add(inverse(inverse(X_82)),X_81)) != multiply(X_82,add(X_82,X_81))
| multiply(X_82,add(inverse(inverse(X_82)),X_81)) = X_82 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_82,add(inverse(inverse(X_82)),X_81)))),bind(Y0,$fot(multiply(X_82,add(X_82,X_81)))),bind(Z0,$fot(X_82))]]) ).
cnf(refute_0_737,plain,
( multiply(X_82,add(X_82,X_81)) != X_82
| multiply(X_82,add(inverse(inverse(X_82)),X_81)) = X_82 ),
inference(resolve,[$cnf( $equal(multiply(X_82,add(inverse(inverse(X_82)),X_81)),multiply(X_82,add(X_82,X_81))) )],[refute_0_735,refute_0_736]) ).
cnf(refute_0_738,plain,
multiply(X_82,add(inverse(inverse(X_82)),X_81)) = X_82,
inference(resolve,[$cnf( $equal(multiply(X_82,add(X_82,X_81)),X_82) )],[refute_0_726,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))))]]) ).
cnf(refute_0_740,plain,
( multiply(X_82,add(inverse(inverse(X_82)),X_81)) != X_82
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) != multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(multiply(X_81,X_82),X_82) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))) ),[1,1],$fot(X_82)]]) ).
cnf(refute_0_741,plain,
( multiply(X_82,add(inverse(inverse(X_82)),X_81)) != X_82
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(multiply(X_81,X_82),X_82) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))) )],[refute_0_739,refute_0_740]) ).
cnf(refute_0_742,plain,
multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(multiply(X_81,X_82),X_82),
inference(resolve,[$cnf( $equal(multiply(X_82,add(inverse(inverse(X_82)),X_81)),X_82) )],[refute_0_738,refute_0_741]) ).
cnf(refute_0_743,plain,
( multiply(multiply(X_81,X_82),X_82) != multiply(X_82,X_81)
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) != multiply(multiply(X_81,X_82),X_82)
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(X_82,X_81) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))))),bind(Y0,$fot(multiply(multiply(X_81,X_82),X_82))),bind(Z0,$fot(multiply(X_82,X_81)))]]) ).
cnf(refute_0_744,plain,
( multiply(multiply(X_81,X_82),X_82) != multiply(X_82,X_81)
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(X_82,X_81) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),multiply(multiply(X_81,X_82),X_82)) )],[refute_0_742,refute_0_743]) ).
cnf(refute_0_745,plain,
multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) = multiply(X_82,X_81),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,X_82),X_82),multiply(X_82,X_81)) )],[refute_0_725,refute_0_744]) ).
cnf(refute_0_746,plain,
( multiply(X_81,X_82) != multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))
| multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))) != multiply(X_82,X_81)
| multiply(X_81,X_82) = multiply(X_82,X_81) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_81,X_82),multiply(X_82,X_81)) ),[0],$fot(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))))]]) ).
cnf(refute_0_747,plain,
( multiply(X_81,X_82) != multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))
| multiply(X_81,X_82) = multiply(X_82,X_81) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81))),multiply(X_82,X_81)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(X_81,X_82) = multiply(X_82,X_81),
inference(resolve,[$cnf( $equal(multiply(X_81,X_82),multiply(multiply(X_81,X_82),multiply(X_82,add(inverse(inverse(X_82)),X_81)))) )],[refute_0_680,refute_0_747]) ).
cnf(refute_0_749,plain,
( multiply(X_81,X_82) != multiply(X_82,X_81)
| multiply(X_82,X_81) = multiply(X_81,X_82) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_81,X_82))),bind(Y0,$fot(multiply(X_82,X_81)))]]) ).
cnf(refute_0_750,plain,
multiply(X_82,X_81) = multiply(X_81,X_82),
inference(resolve,[$cnf( $equal(multiply(X_81,X_82),multiply(X_82,X_81)) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(multiplicative_identity,multiply(X_111,X_110)),
inference(subst,[],[refute_0_750:[bind(X_81,$fot(multiplicative_identity)),bind(X_82,$fot(multiply(X_111,X_110)))]]) ).
cnf(refute_0_752,plain,
( multiply(multiply(X_111,X_110),multiplicative_identity) != multiply(multiplicative_identity,multiply(X_111,X_110))
| multiply(multiplicative_identity,multiply(X_111,X_110)) != multiply(X_111,X_110)
| multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(X_111,X_110) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_111,X_110),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,multiply(X_111,X_110)))),bind(Z0,$fot(multiply(X_111,X_110)))]]) ).
cnf(refute_0_753,plain,
( multiply(multiplicative_identity,multiply(X_111,X_110)) != multiply(X_111,X_110)
| multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(X_111,X_110) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_110),multiplicative_identity),multiply(multiplicative_identity,multiply(X_111,X_110))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
multiply(multiply(X_111,X_110),multiplicative_identity) = multiply(X_111,X_110),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,multiply(X_111,X_110)),multiply(X_111,X_110)) )],[refute_0_675,refute_0_753]) ).
cnf(refute_0_755,plain,
( multiply(multiply(X_111,X_110),multiplicative_identity) != multiply(X_111,X_110)
| multiply(multiply(X_111,X_110),multiplicative_identity) != multiply(multiply(X_111,X_110),multiply(X_110,X_111))
| multiply(X_111,X_110) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_111,X_110),multiplicative_identity),multiply(multiply(X_111,X_110),multiply(X_110,X_111))) ),[0],$fot(multiply(X_111,X_110))]]) ).
cnf(refute_0_756,plain,
( multiply(multiply(X_111,X_110),multiplicative_identity) != multiply(multiply(X_111,X_110),multiply(X_110,X_111))
| multiply(X_111,X_110) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_110),multiplicative_identity),multiply(X_111,X_110)) )],[refute_0_754,refute_0_755]) ).
cnf(refute_0_757,plain,
multiply(X_111,X_110) = multiply(multiply(X_111,X_110),multiply(X_110,X_111)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_111,X_110),multiplicative_identity),multiply(multiply(X_111,X_110),multiply(X_110,X_111))) )],[refute_0_674,refute_0_756]) ).
cnf(refute_0_758,plain,
multiply(X_116,X_115) = multiply(multiply(X_116,X_115),multiply(X_115,X_116)),
inference(subst,[],[refute_0_757:[bind(X_110,$fot(X_115)),bind(X_111,$fot(X_116))]]) ).
cnf(refute_0_759,plain,
( multiply(X_116,X_115) != multiply(multiply(X_116,X_115),multiply(X_115,X_116))
| multiply(multiply(X_116,X_115),multiply(X_115,X_116)) = multiply(X_116,X_115) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_116,X_115))),bind(Y0,$fot(multiply(multiply(X_116,X_115),multiply(X_115,X_116))))]]) ).
cnf(refute_0_760,plain,
multiply(multiply(X_116,X_115),multiply(X_115,X_116)) = multiply(X_116,X_115),
inference(resolve,[$cnf( $equal(multiply(X_116,X_115),multiply(multiply(X_116,X_115),multiply(X_115,X_116))) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
( multiply(multiply(X_116,X_115),multiply(X_115,X_116)) != multiply(X_116,X_115)
| inverse(multiply(X_115,X_116)) != multiply(inverse(multiply(X_115,X_116)),inverse(multiply(multiply(X_116,X_115),multiply(X_115,X_116))))
| inverse(multiply(X_115,X_116)) = multiply(inverse(multiply(X_115,X_116)),inverse(multiply(X_116,X_115))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_115,X_116)),multiply(inverse(multiply(X_115,X_116)),inverse(multiply(multiply(X_116,X_115),multiply(X_115,X_116))))) ),[1,1,0],$fot(multiply(X_116,X_115))]]) ).
cnf(refute_0_762,plain,
( inverse(multiply(X_115,X_116)) != multiply(inverse(multiply(X_115,X_116)),inverse(multiply(multiply(X_116,X_115),multiply(X_115,X_116))))
| inverse(multiply(X_115,X_116)) = multiply(inverse(multiply(X_115,X_116)),inverse(multiply(X_116,X_115))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_116,X_115),multiply(X_115,X_116)),multiply(X_116,X_115)) )],[refute_0_760,refute_0_761]) ).
cnf(refute_0_763,plain,
inverse(multiply(X_115,X_116)) = multiply(inverse(multiply(X_115,X_116)),inverse(multiply(X_116,X_115))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_115,X_116)),multiply(inverse(multiply(X_115,X_116)),inverse(multiply(multiply(X_116,X_115),multiply(X_115,X_116))))) )],[refute_0_577,refute_0_762]) ).
cnf(refute_0_764,plain,
inverse(multiply(X_251,X_252)) = multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))),
inference(subst,[],[refute_0_763:[bind(X_115,$fot(X_251)),bind(X_116,$fot(X_252))]]) ).
cnf(refute_0_765,plain,
( inverse(multiply(X_251,X_252)) != multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251)))
| multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))) = inverse(multiply(X_251,X_252)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(multiply(X_251,X_252)))),bind(Y0,$fot(multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251)))))]]) ).
cnf(refute_0_766,plain,
multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))) = inverse(multiply(X_251,X_252)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_251,X_252)),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251)))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))) != inverse(multiply(X_251,X_252))
| additive_identity != multiply(multiply(X_252,X_251),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))))
| additive_identity = multiply(multiply(X_252,X_251),inverse(multiply(X_251,X_252))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_252,X_251),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))))) ),[1,1],$fot(inverse(multiply(X_251,X_252)))]]) ).
cnf(refute_0_768,plain,
( additive_identity != multiply(multiply(X_252,X_251),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))))
| additive_identity = multiply(multiply(X_252,X_251),inverse(multiply(X_251,X_252))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))),inverse(multiply(X_251,X_252))) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
additive_identity = multiply(multiply(X_252,X_251),inverse(multiply(X_251,X_252))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_252,X_251),multiply(inverse(multiply(X_251,X_252)),inverse(multiply(X_252,X_251))))) )],[refute_0_137,refute_0_768]) ).
cnf(refute_0_770,plain,
additive_identity = multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424)))),
inference(subst,[],[refute_0_769:[bind(X_251,$fot(X_426)),bind(X_252,$fot(inverse(X_424)))]]) ).
cnf(refute_0_771,plain,
( additive_identity != multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))
| multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424)))) = additive_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))))]]) ).
cnf(refute_0_772,plain,
multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424)))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424)))) != additive_identity
| add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))) != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| add(X_424,additive_identity) = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))),add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_774,plain,
( add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))) != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| add(X_424,additive_identity) = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424)))),additive_identity) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
add(X_424,additive_identity) = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))),
inference(resolve,[$cnf( $equal(add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(X_426,inverse(X_424))))),add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))) )],[refute_0_97,refute_0_774]) ).
cnf(refute_0_776,plain,
add(X_424,additive_identity) = X_424,
inference(subst,[],[additive_id1:[bind(X,$fot(X_424))]]) ).
cnf(refute_0_777,plain,
( add(X_424,additive_identity) != X_424
| add(X_424,additive_identity) != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| X_424 = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_424,additive_identity),add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))) ),[0],$fot(X_424)]]) ).
cnf(refute_0_778,plain,
( add(X_424,additive_identity) != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| X_424 = add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) ),
inference(resolve,[$cnf( $equal(add(X_424,additive_identity),X_424) )],[refute_0_776,refute_0_777]) ).
cnf(refute_0_779,plain,
add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) = multiply(add(X_11,X_10),add(X_10,inverse(multiply(X_357,inverse(X_10))))),
inference(subst,[],[refute_0_145:[bind(X_12,$fot(inverse(multiply(X_357,inverse(X_10)))))]]) ).
cnf(refute_0_780,plain,
add(inverse(multiply(X_98,inverse(Y))),multiply(Y,inverse(multiply(X_98,inverse(Y))))) = inverse(multiply(X_98,inverse(Y))),
inference(subst,[],[refute_0_128:[bind(Z,$fot(inverse(multiply(X_98,inverse(Y)))))]]) ).
cnf(refute_0_781,plain,
multiply(X_92,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))) = multiply(X_92,inverse(multiply(Y,inverse(X_92)))),
inference(subst,[],[refute_0_110:[bind(X_39,$fot(X_92)),bind(X_41,$fot(inverse(multiply(Y,inverse(X_92)))))]]) ).
cnf(refute_0_782,plain,
multiplicative_identity = add(inverse(X_92),inverse(multiply(Y,inverse(X_92)))),
inference(subst,[],[refute_0_466:[bind(X_69,$fot(inverse(X_92)))]]) ).
cnf(refute_0_783,plain,
( multiplicative_identity != add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))
| add(inverse(X_92),inverse(multiply(Y,inverse(X_92)))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))))]]) ).
cnf(refute_0_784,plain,
add(inverse(X_92),inverse(multiply(Y,inverse(X_92)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
( multiply(X_92,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))) != multiply(X_92,inverse(multiply(Y,inverse(X_92))))
| add(inverse(X_92),inverse(multiply(Y,inverse(X_92)))) != multiplicative_identity
| multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(Y,inverse(X_92)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))),multiply(X_92,inverse(multiply(Y,inverse(X_92))))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_786,plain,
( multiply(X_92,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))) != multiply(X_92,inverse(multiply(Y,inverse(X_92))))
| multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(Y,inverse(X_92)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_92),inverse(multiply(Y,inverse(X_92)))),multiplicative_identity) )],[refute_0_784,refute_0_785]) ).
cnf(refute_0_787,plain,
multiply(X_92,multiplicative_identity) = multiply(X_92,inverse(multiply(Y,inverse(X_92)))),
inference(resolve,[$cnf( $equal(multiply(X_92,add(inverse(X_92),inverse(multiply(Y,inverse(X_92))))),multiply(X_92,inverse(multiply(Y,inverse(X_92))))) )],[refute_0_781,refute_0_786]) ).
cnf(refute_0_788,plain,
( multiply(X_92,multiplicative_identity) != X_92
| multiply(X_92,multiplicative_identity) != multiply(X_92,inverse(multiply(Y,inverse(X_92))))
| X_92 = multiply(X_92,inverse(multiply(Y,inverse(X_92)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_92,multiplicative_identity),multiply(X_92,inverse(multiply(Y,inverse(X_92))))) ),[0],$fot(X_92)]]) ).
cnf(refute_0_789,plain,
( multiply(X_92,multiplicative_identity) != multiply(X_92,inverse(multiply(Y,inverse(X_92))))
| X_92 = multiply(X_92,inverse(multiply(Y,inverse(X_92)))) ),
inference(resolve,[$cnf( $equal(multiply(X_92,multiplicative_identity),X_92) )],[refute_0_480,refute_0_788]) ).
cnf(refute_0_790,plain,
X_92 = multiply(X_92,inverse(multiply(Y,inverse(X_92)))),
inference(resolve,[$cnf( $equal(multiply(X_92,multiplicative_identity),multiply(X_92,inverse(multiply(Y,inverse(X_92))))) )],[refute_0_787,refute_0_789]) ).
cnf(refute_0_791,plain,
Y = multiply(Y,inverse(multiply(X_98,inverse(Y)))),
inference(subst,[],[refute_0_790:[bind(Y,$fot(X_98)),bind(X_92,$fot(Y))]]) ).
cnf(refute_0_792,plain,
( Y != multiply(Y,inverse(multiply(X_98,inverse(Y))))
| multiply(Y,inverse(multiply(X_98,inverse(Y)))) = Y ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(Y)),bind(Y0,$fot(multiply(Y,inverse(multiply(X_98,inverse(Y))))))]]) ).
cnf(refute_0_793,plain,
multiply(Y,inverse(multiply(X_98,inverse(Y)))) = Y,
inference(resolve,[$cnf( $equal(Y,multiply(Y,inverse(multiply(X_98,inverse(Y))))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
( multiply(Y,inverse(multiply(X_98,inverse(Y)))) != Y
| add(inverse(multiply(X_98,inverse(Y))),multiply(Y,inverse(multiply(X_98,inverse(Y))))) != inverse(multiply(X_98,inverse(Y)))
| add(inverse(multiply(X_98,inverse(Y))),Y) = inverse(multiply(X_98,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_98,inverse(Y))),multiply(Y,inverse(multiply(X_98,inverse(Y))))),inverse(multiply(X_98,inverse(Y)))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_795,plain,
( add(inverse(multiply(X_98,inverse(Y))),multiply(Y,inverse(multiply(X_98,inverse(Y))))) != inverse(multiply(X_98,inverse(Y)))
| add(inverse(multiply(X_98,inverse(Y))),Y) = inverse(multiply(X_98,inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(X_98,inverse(Y)))),Y) )],[refute_0_793,refute_0_794]) ).
cnf(refute_0_796,plain,
add(inverse(multiply(X_98,inverse(Y))),Y) = inverse(multiply(X_98,inverse(Y))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_98,inverse(Y))),multiply(Y,inverse(multiply(X_98,inverse(Y))))),inverse(multiply(X_98,inverse(Y)))) )],[refute_0_780,refute_0_795]) ).
cnf(refute_0_797,plain,
add(inverse(multiply(X_98,inverse(Y))),Y) = add(Y,inverse(multiply(X_98,inverse(Y)))),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(Y)),bind(X_12,$fot(inverse(multiply(X_98,inverse(Y)))))]]) ).
cnf(refute_0_798,plain,
( add(inverse(multiply(X_98,inverse(Y))),Y) != add(Y,inverse(multiply(X_98,inverse(Y))))
| add(inverse(multiply(X_98,inverse(Y))),Y) != inverse(multiply(X_98,inverse(Y)))
| add(Y,inverse(multiply(X_98,inverse(Y)))) = inverse(multiply(X_98,inverse(Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_98,inverse(Y))),Y),inverse(multiply(X_98,inverse(Y)))) ),[0],$fot(add(Y,inverse(multiply(X_98,inverse(Y)))))]]) ).
cnf(refute_0_799,plain,
( add(inverse(multiply(X_98,inverse(Y))),Y) != inverse(multiply(X_98,inverse(Y)))
| add(Y,inverse(multiply(X_98,inverse(Y)))) = inverse(multiply(X_98,inverse(Y))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_98,inverse(Y))),Y),add(Y,inverse(multiply(X_98,inverse(Y))))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
add(Y,inverse(multiply(X_98,inverse(Y)))) = inverse(multiply(X_98,inverse(Y))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_98,inverse(Y))),Y),inverse(multiply(X_98,inverse(Y)))) )],[refute_0_796,refute_0_799]) ).
cnf(refute_0_801,plain,
add(X_10,inverse(multiply(X_357,inverse(X_10)))) = inverse(multiply(X_357,inverse(X_10))),
inference(subst,[],[refute_0_800:[bind(Y,$fot(X_10)),bind(X_98,$fot(X_357))]]) ).
cnf(refute_0_802,plain,
( add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) != multiply(add(X_11,X_10),add(X_10,inverse(multiply(X_357,inverse(X_10)))))
| add(X_10,inverse(multiply(X_357,inverse(X_10)))) != inverse(multiply(X_357,inverse(X_10)))
| add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) = multiply(add(X_11,X_10),inverse(multiply(X_357,inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))),multiply(add(X_11,X_10),add(X_10,inverse(multiply(X_357,inverse(X_10)))))) ),[1,1],$fot(inverse(multiply(X_357,inverse(X_10))))]]) ).
cnf(refute_0_803,plain,
( add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) != multiply(add(X_11,X_10),add(X_10,inverse(multiply(X_357,inverse(X_10)))))
| add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) = multiply(add(X_11,X_10),inverse(multiply(X_357,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(X_357,inverse(X_10)))),inverse(multiply(X_357,inverse(X_10)))) )],[refute_0_801,refute_0_802]) ).
cnf(refute_0_804,plain,
add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))) = multiply(add(X_11,X_10),inverse(multiply(X_357,inverse(X_10)))),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(multiply(X_357,inverse(X_10))))),multiply(add(X_11,X_10),add(X_10,inverse(multiply(X_357,inverse(X_10)))))) )],[refute_0_779,refute_0_803]) ).
cnf(refute_0_805,plain,
add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) = multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424)))),
inference(subst,[],[refute_0_804:[bind(X_10,$fot(X_424)),bind(X_11,$fot(X_426)),bind(X_357,$fot(X_426))]]) ).
cnf(refute_0_806,plain,
( X_424 != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))) != multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424))))
| X_424 = multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_424,multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424))))) ),[0],$fot(add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))))]]) ).
cnf(refute_0_807,plain,
( X_424 != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| X_424 = multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424)))) ),
inference(resolve,[$cnf( $equal(add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424))))),multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424))))) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
( add(X_424,additive_identity) != add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))
| X_424 = multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424)))) ),
inference(resolve,[$cnf( $equal(X_424,add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))) )],[refute_0_778,refute_0_807]) ).
cnf(refute_0_809,plain,
X_424 = multiply(add(X_426,X_424),inverse(multiply(X_426,inverse(X_424)))),
inference(resolve,[$cnf( $equal(add(X_424,additive_identity),add(X_424,multiply(X_426,inverse(multiply(X_426,inverse(X_424)))))) )],[refute_0_775,refute_0_808]) ).
cnf(refute_0_810,plain,
inverse(X_64) = multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,inverse(inverse(X_64))))),
inference(subst,[],[refute_0_809:[bind(X_424,$fot(inverse(X_64))),bind(X_426,$fot(X_428))]]) ).
cnf(refute_0_811,plain,
( inverse(X_64) != multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,inverse(inverse(X_64)))))
| inverse(inverse(X_64)) != X_64
| inverse(X_64) = multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_64),multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,inverse(inverse(X_64)))))) ),[1,1,0,1],$fot(X_64)]]) ).
cnf(refute_0_812,plain,
( inverse(X_64) != multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,inverse(inverse(X_64)))))
| inverse(X_64) = multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_566,refute_0_811]) ).
cnf(refute_0_813,plain,
inverse(X_64) = multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))),
inference(resolve,[$cnf( $equal(inverse(X_64),multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,inverse(inverse(X_64)))))) )],[refute_0_810,refute_0_812]) ).
cnf(refute_0_814,plain,
multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397)))),
inference(subst,[],[refute_0_757:[bind(X_110,$fot(multiply(X_395,X_396))),bind(X_111,$fot(inverse(multiply(inverse(X_396),X_397))))]]) ).
cnf(refute_0_815,plain,
multiply(X_39,add(add(X_24,X_39),X_41)) = add(multiply(X_39,add(X_24,X_39)),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(add(X_24,X_39))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_816,plain,
add(X_23,multiply(additive_identity,X_24)) = multiply(X_23,add(X_23,X_24)),
inference(subst,[],[refute_0_199:[bind(X_10,$fot(X_23)),bind(X_12,$fot(X_24))]]) ).
cnf(refute_0_817,plain,
add(X_24,X_23) = add(X_23,X_24),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_24)),bind(Y,$fot(X_23))]]) ).
cnf(refute_0_818,plain,
( add(X_24,X_23) != add(X_23,X_24)
| add(X_23,X_24) = add(X_24,X_23) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_24,X_23))),bind(Y0,$fot(add(X_23,X_24)))]]) ).
cnf(refute_0_819,plain,
add(X_23,X_24) = add(X_24,X_23),
inference(resolve,[$cnf( $equal(add(X_24,X_23),add(X_23,X_24)) )],[refute_0_817,refute_0_818]) ).
cnf(refute_0_820,plain,
( add(X_23,X_24) != add(X_24,X_23)
| add(X_23,multiply(additive_identity,X_24)) != multiply(X_23,add(X_23,X_24))
| add(X_23,multiply(additive_identity,X_24)) = multiply(X_23,add(X_24,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_23,multiply(additive_identity,X_24)),multiply(X_23,add(X_23,X_24))) ),[1,1],$fot(add(X_24,X_23))]]) ).
cnf(refute_0_821,plain,
( add(X_23,multiply(additive_identity,X_24)) != multiply(X_23,add(X_23,X_24))
| add(X_23,multiply(additive_identity,X_24)) = multiply(X_23,add(X_24,X_23)) ),
inference(resolve,[$cnf( $equal(add(X_23,X_24),add(X_24,X_23)) )],[refute_0_819,refute_0_820]) ).
cnf(refute_0_822,plain,
add(X_23,multiply(additive_identity,X_24)) = multiply(X_23,add(X_24,X_23)),
inference(resolve,[$cnf( $equal(add(X_23,multiply(additive_identity,X_24)),multiply(X_23,add(X_23,X_24))) )],[refute_0_816,refute_0_821]) ).
cnf(refute_0_823,plain,
add(X_39,multiply(additive_identity,X_24)) = multiply(X_39,add(X_24,X_39)),
inference(subst,[],[refute_0_822:[bind(X_23,$fot(X_39))]]) ).
cnf(refute_0_824,plain,
( add(X_39,multiply(additive_identity,X_24)) != multiply(X_39,add(X_24,X_39))
| multiply(X_39,add(X_24,X_39)) = add(X_39,multiply(additive_identity,X_24)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_39,multiply(additive_identity,X_24)))),bind(Y0,$fot(multiply(X_39,add(X_24,X_39))))]]) ).
cnf(refute_0_825,plain,
multiply(X_39,add(X_24,X_39)) = add(X_39,multiply(additive_identity,X_24)),
inference(resolve,[$cnf( $equal(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,add(X_24,X_39))) )],[refute_0_823,refute_0_824]) ).
cnf(refute_0_826,plain,
( multiply(X_39,add(X_24,X_39)) != add(X_39,multiply(additive_identity,X_24))
| multiply(X_39,add(add(X_24,X_39),X_41)) != add(multiply(X_39,add(X_24,X_39)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_24,X_39),X_41)) = add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(add(X_24,X_39),X_41)),add(multiply(X_39,add(X_24,X_39)),multiply(X_39,X_41))) ),[1,0],$fot(add(X_39,multiply(additive_identity,X_24)))]]) ).
cnf(refute_0_827,plain,
( multiply(X_39,add(add(X_24,X_39),X_41)) != add(multiply(X_39,add(X_24,X_39)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_24,X_39),X_41)) = add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_24,X_39)),add(X_39,multiply(additive_identity,X_24))) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
multiply(X_39,add(add(X_24,X_39),X_41)) = add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_24,X_39),X_41)),add(multiply(X_39,add(X_24,X_39)),multiply(X_39,X_41))) )],[refute_0_815,refute_0_827]) ).
cnf(refute_0_829,plain,
add(X_39,multiply(X_39,X_41)) = X_39,
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_39)),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_830,plain,
add(X_39,additive_identity) = X_39,
inference(subst,[],[additive_id1:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_831,plain,
multiply(additive_identity,X_24) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(X_24))]]) ).
cnf(refute_0_832,plain,
add(X_39,multiply(additive_identity,X_24)) = add(X_39,multiply(additive_identity,X_24)),
introduced(tautology,[refl,[$fot(add(X_39,multiply(additive_identity,X_24)))]]) ).
cnf(refute_0_833,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(X_39,multiply(additive_identity,X_24)) != add(X_39,multiply(additive_identity,X_24))
| add(X_39,multiply(additive_identity,X_24)) = add(X_39,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_39,multiply(additive_identity,X_24)),add(X_39,multiply(additive_identity,X_24))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_834,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(X_39,multiply(additive_identity,X_24)) = add(X_39,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(additive_identity,X_24)),add(X_39,multiply(additive_identity,X_24))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
add(X_39,multiply(additive_identity,X_24)) = add(X_39,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_24),additive_identity) )],[refute_0_831,refute_0_834]) ).
cnf(refute_0_836,plain,
( add(X_39,multiply(additive_identity,X_24)) != add(X_39,additive_identity)
| add(X_39,additive_identity) != X_39
| add(X_39,multiply(additive_identity,X_24)) = X_39 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(X_39,multiply(additive_identity,X_24)))),bind(Y0,$fot(add(X_39,additive_identity))),bind(Z0,$fot(X_39))]]) ).
cnf(refute_0_837,plain,
( add(X_39,additive_identity) != X_39
| add(X_39,multiply(additive_identity,X_24)) = X_39 ),
inference(resolve,[$cnf( $equal(add(X_39,multiply(additive_identity,X_24)),add(X_39,additive_identity)) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
add(X_39,multiply(additive_identity,X_24)) = X_39,
inference(resolve,[$cnf( $equal(add(X_39,additive_identity),X_39) )],[refute_0_830,refute_0_837]) ).
cnf(refute_0_839,plain,
add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),
introduced(tautology,[refl,[$fot(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)))]]) ).
cnf(refute_0_840,plain,
( add(X_39,multiply(additive_identity,X_24)) != X_39
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) != add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_841,plain,
( add(X_39,multiply(additive_identity,X_24)) != X_39
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)) ),
inference(resolve,[$cnf( $equal(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))) )],[refute_0_839,refute_0_840]) ).
cnf(refute_0_842,plain,
add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(add(X_39,multiply(additive_identity,X_24)),X_39) )],[refute_0_838,refute_0_841]) ).
cnf(refute_0_843,plain,
( add(X_39,multiply(X_39,X_41)) != X_39
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) != add(X_39,multiply(X_39,X_41))
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = X_39 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)))),bind(Y0,$fot(add(X_39,multiply(X_39,X_41)))),bind(Z0,$fot(X_39))]]) ).
cnf(refute_0_844,plain,
( add(X_39,multiply(X_39,X_41)) != X_39
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = X_39 ),
inference(resolve,[$cnf( $equal(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),add(X_39,multiply(X_39,X_41))) )],[refute_0_842,refute_0_843]) ).
cnf(refute_0_845,plain,
add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) = X_39,
inference(resolve,[$cnf( $equal(add(X_39,multiply(X_39,X_41)),X_39) )],[refute_0_829,refute_0_844]) ).
cnf(refute_0_846,plain,
( multiply(X_39,add(add(X_24,X_39),X_41)) != add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))
| add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)) != X_39
| multiply(X_39,add(add(X_24,X_39),X_41)) = X_39 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,add(add(X_24,X_39),X_41)),X_39) ),[0],$fot(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)))]]) ).
cnf(refute_0_847,plain,
( multiply(X_39,add(add(X_24,X_39),X_41)) != add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_24,X_39),X_41)) = X_39 ),
inference(resolve,[$cnf( $equal(add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41)),X_39) )],[refute_0_845,refute_0_846]) ).
cnf(refute_0_848,plain,
multiply(X_39,add(add(X_24,X_39),X_41)) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_24,X_39),X_41)),add(add(X_39,multiply(additive_identity,X_24)),multiply(X_39,X_41))) )],[refute_0_828,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(multiply(Y,X_136),add(add(X_136,multiply(Y,X_136)),X_138)) = multiply(Y,X_136),
inference(subst,[],[refute_0_848:[bind(X_24,$fot(X_136)),bind(X_39,$fot(multiply(Y,X_136))),bind(X_41,$fot(X_138))]]) ).
cnf(refute_0_850,plain,
add(X_136,multiply(Y,X_136)) = X_136,
inference(subst,[],[refute_0_128:[bind(Z,$fot(X_136))]]) ).
cnf(refute_0_851,plain,
( multiply(multiply(Y,X_136),add(add(X_136,multiply(Y,X_136)),X_138)) != multiply(Y,X_136)
| add(X_136,multiply(Y,X_136)) != X_136
| multiply(multiply(Y,X_136),add(X_136,X_138)) = multiply(Y,X_136) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_136),add(add(X_136,multiply(Y,X_136)),X_138)),multiply(Y,X_136)) ),[0,1,0],$fot(X_136)]]) ).
cnf(refute_0_852,plain,
( multiply(multiply(Y,X_136),add(add(X_136,multiply(Y,X_136)),X_138)) != multiply(Y,X_136)
| multiply(multiply(Y,X_136),add(X_136,X_138)) = multiply(Y,X_136) ),
inference(resolve,[$cnf( $equal(add(X_136,multiply(Y,X_136)),X_136) )],[refute_0_850,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(multiply(Y,X_136),add(X_136,X_138)) = multiply(Y,X_136),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_136),add(add(X_136,multiply(Y,X_136)),X_138)),multiply(Y,X_136)) )],[refute_0_849,refute_0_852]) ).
cnf(refute_0_854,plain,
multiply(multiply(X_139,X_140),add(X_140,inverse(multiply(inverse(X_140),X_94)))) = multiply(X_139,X_140),
inference(subst,[],[refute_0_853:[bind(Y,$fot(X_139)),bind(X_136,$fot(X_140)),bind(X_138,$fot(inverse(multiply(inverse(X_140),X_94))))]]) ).
cnf(refute_0_855,plain,
add(inverse(multiply(inverse(Y),X_94)),multiply(Y,inverse(multiply(inverse(Y),X_94)))) = inverse(multiply(inverse(Y),X_94)),
inference(subst,[],[refute_0_128:[bind(Z,$fot(inverse(multiply(inverse(Y),X_94))))]]) ).
cnf(refute_0_856,plain,
Y = multiply(Y,inverse(multiply(inverse(Y),X_94))),
inference(subst,[],[refute_0_483:[bind(X_72,$fot(X_94)),bind(X_92,$fot(Y))]]) ).
cnf(refute_0_857,plain,
( Y != multiply(Y,inverse(multiply(inverse(Y),X_94)))
| multiply(Y,inverse(multiply(inverse(Y),X_94))) = Y ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(Y)),bind(Y0,$fot(multiply(Y,inverse(multiply(inverse(Y),X_94)))))]]) ).
cnf(refute_0_858,plain,
multiply(Y,inverse(multiply(inverse(Y),X_94))) = Y,
inference(resolve,[$cnf( $equal(Y,multiply(Y,inverse(multiply(inverse(Y),X_94)))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( multiply(Y,inverse(multiply(inverse(Y),X_94))) != Y
| add(inverse(multiply(inverse(Y),X_94)),multiply(Y,inverse(multiply(inverse(Y),X_94)))) != inverse(multiply(inverse(Y),X_94))
| add(inverse(multiply(inverse(Y),X_94)),Y) = inverse(multiply(inverse(Y),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_94)),multiply(Y,inverse(multiply(inverse(Y),X_94)))),inverse(multiply(inverse(Y),X_94))) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_860,plain,
( add(inverse(multiply(inverse(Y),X_94)),multiply(Y,inverse(multiply(inverse(Y),X_94)))) != inverse(multiply(inverse(Y),X_94))
| add(inverse(multiply(inverse(Y),X_94)),Y) = inverse(multiply(inverse(Y),X_94)) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(inverse(Y),X_94))),Y) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
add(inverse(multiply(inverse(Y),X_94)),Y) = inverse(multiply(inverse(Y),X_94)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_94)),multiply(Y,inverse(multiply(inverse(Y),X_94)))),inverse(multiply(inverse(Y),X_94))) )],[refute_0_855,refute_0_860]) ).
cnf(refute_0_862,plain,
add(inverse(multiply(inverse(Y),X_94)),Y) = add(Y,inverse(multiply(inverse(Y),X_94))),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(Y)),bind(X_12,$fot(inverse(multiply(inverse(Y),X_94))))]]) ).
cnf(refute_0_863,plain,
( add(inverse(multiply(inverse(Y),X_94)),Y) != add(Y,inverse(multiply(inverse(Y),X_94)))
| add(inverse(multiply(inverse(Y),X_94)),Y) != inverse(multiply(inverse(Y),X_94))
| add(Y,inverse(multiply(inverse(Y),X_94))) = inverse(multiply(inverse(Y),X_94)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_94)),Y),inverse(multiply(inverse(Y),X_94))) ),[0],$fot(add(Y,inverse(multiply(inverse(Y),X_94))))]]) ).
cnf(refute_0_864,plain,
( add(inverse(multiply(inverse(Y),X_94)),Y) != inverse(multiply(inverse(Y),X_94))
| add(Y,inverse(multiply(inverse(Y),X_94))) = inverse(multiply(inverse(Y),X_94)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_94)),Y),add(Y,inverse(multiply(inverse(Y),X_94)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
add(Y,inverse(multiply(inverse(Y),X_94))) = inverse(multiply(inverse(Y),X_94)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(Y),X_94)),Y),inverse(multiply(inverse(Y),X_94))) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
add(X_140,inverse(multiply(inverse(X_140),X_94))) = inverse(multiply(inverse(X_140),X_94)),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_140))]]) ).
cnf(refute_0_867,plain,
( multiply(multiply(X_139,X_140),add(X_140,inverse(multiply(inverse(X_140),X_94)))) != multiply(X_139,X_140)
| add(X_140,inverse(multiply(inverse(X_140),X_94))) != inverse(multiply(inverse(X_140),X_94))
| multiply(multiply(X_139,X_140),inverse(multiply(inverse(X_140),X_94))) = multiply(X_139,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_139,X_140),add(X_140,inverse(multiply(inverse(X_140),X_94)))),multiply(X_139,X_140)) ),[0,1],$fot(inverse(multiply(inverse(X_140),X_94)))]]) ).
cnf(refute_0_868,plain,
( multiply(multiply(X_139,X_140),add(X_140,inverse(multiply(inverse(X_140),X_94)))) != multiply(X_139,X_140)
| multiply(multiply(X_139,X_140),inverse(multiply(inverse(X_140),X_94))) = multiply(X_139,X_140) ),
inference(resolve,[$cnf( $equal(add(X_140,inverse(multiply(inverse(X_140),X_94))),inverse(multiply(inverse(X_140),X_94))) )],[refute_0_866,refute_0_867]) ).
cnf(refute_0_869,plain,
multiply(multiply(X_139,X_140),inverse(multiply(inverse(X_140),X_94))) = multiply(X_139,X_140),
inference(resolve,[$cnf( $equal(multiply(multiply(X_139,X_140),add(X_140,inverse(multiply(inverse(X_140),X_94)))),multiply(X_139,X_140)) )],[refute_0_854,refute_0_868]) ).
cnf(refute_0_870,plain,
multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))) = multiply(X_395,X_396),
inference(subst,[],[refute_0_869:[bind(X_139,$fot(X_395)),bind(X_140,$fot(X_396)),bind(X_94,$fot(X_397))]]) ).
cnf(refute_0_871,plain,
( multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))) != multiply(X_395,X_396)
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))))
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))))) ),[1,1],$fot(multiply(X_395,X_396))]]) ).
cnf(refute_0_872,plain,
( multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))))
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))),multiply(X_395,X_396)) )],[refute_0_870,refute_0_871]) ).
cnf(refute_0_873,plain,
multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))))) )],[refute_0_814,refute_0_872]) ).
cnf(refute_0_874,plain,
multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) = multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))),
inference(subst,[],[refute_0_720:[bind(Y,$fot(inverse(multiply(inverse(X_396),X_397)))),bind(X_34,$fot(multiply(X_395,X_396)))]]) ).
cnf(refute_0_875,plain,
( multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) != multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397)))
| multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))) != multiply(X_395,X_396)
| multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) = multiply(X_395,X_396) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))))),bind(Y0,$fot(multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))))),bind(Z0,$fot(multiply(X_395,X_396)))]]) ).
cnf(refute_0_876,plain,
( multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))) != multiply(X_395,X_396)
| multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) = multiply(X_395,X_396) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))),multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397)))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) = multiply(X_395,X_396),
inference(resolve,[$cnf( $equal(multiply(multiply(X_395,X_396),inverse(multiply(inverse(X_396),X_397))),multiply(X_395,X_396)) )],[refute_0_870,refute_0_876]) ).
cnf(refute_0_878,plain,
multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = add(multiply(multiply(X_198,X_199),Y),multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198))))),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(X_198,X_199))),bind(Z,$fot(inverse(add(X_199,inverse(X_198)))))]]) ).
cnf(refute_0_879,plain,
multiply(inverse(add(X_105,X_22)),X_105) = multiply(multiply(inverse(add(X_105,X_22)),X_105),add(X_22,multiply(X_105,inverse(add(X_105,X_22))))),
inference(subst,[],[refute_0_621:[bind(X_106,$fot(inverse(add(X_105,X_22))))]]) ).
cnf(refute_0_880,plain,
multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) = multiply(add(X_63,X_40),X_40),
inference(subst,[],[refute_0_549:[bind(X_39,$fot(add(X_63,X_40)))]]) ).
cnf(refute_0_881,plain,
add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))),
inference(subst,[],[refute_0_145:[bind(X_10,$fot(X_40)),bind(X_11,$fot(X_63)),bind(X_12,$fot(inverse(add(X_63,X_40))))]]) ).
cnf(refute_0_882,plain,
( add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) != multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40))))
| multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) = add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_40,multiply(X_63,inverse(add(X_63,X_40)))))),bind(Y0,$fot(multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40))))))]]) ).
cnf(refute_0_883,plain,
multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) = add(X_40,multiply(X_63,inverse(add(X_63,X_40)))),
inference(resolve,[$cnf( $equal(add(X_40,multiply(X_63,inverse(add(X_63,X_40)))),multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40))))) )],[refute_0_881,refute_0_882]) ).
cnf(refute_0_884,plain,
( multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) != multiply(add(X_63,X_40),X_40)
| multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) != add(X_40,multiply(X_63,inverse(add(X_63,X_40))))
| add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = multiply(add(X_63,X_40),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))),multiply(add(X_63,X_40),X_40)) ),[0],$fot(add(X_40,multiply(X_63,inverse(add(X_63,X_40)))))]]) ).
cnf(refute_0_885,plain,
( multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))) != multiply(add(X_63,X_40),X_40)
| add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = multiply(add(X_63,X_40),X_40) ),
inference(resolve,[$cnf( $equal(multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))),add(X_40,multiply(X_63,inverse(add(X_63,X_40))))) )],[refute_0_883,refute_0_884]) ).
cnf(refute_0_886,plain,
add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = multiply(add(X_63,X_40),X_40),
inference(resolve,[$cnf( $equal(multiply(add(X_63,X_40),add(X_40,inverse(add(X_63,X_40)))),multiply(add(X_63,X_40),X_40)) )],[refute_0_880,refute_0_885]) ).
cnf(refute_0_887,plain,
( X_21 != multiply(X_21,add(X_22,X_21))
| multiply(X_21,add(X_22,X_21)) = X_21 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_21)),bind(Y0,$fot(multiply(X_21,add(X_22,X_21))))]]) ).
cnf(refute_0_888,plain,
multiply(X_21,add(X_22,X_21)) = X_21,
inference(resolve,[$cnf( $equal(X_21,multiply(X_21,add(X_22,X_21))) )],[refute_0_443,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(X_40,add(X_63,X_40)) = X_40,
inference(subst,[],[refute_0_888:[bind(X_21,$fot(X_40)),bind(X_22,$fot(X_63))]]) ).
cnf(refute_0_890,plain,
multiply(add(X_63,X_40),X_40) = multiply(X_40,add(X_63,X_40)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_40)),bind(Y,$fot(add(X_63,X_40)))]]) ).
cnf(refute_0_891,plain,
( multiply(X_40,add(X_63,X_40)) != X_40
| multiply(add(X_63,X_40),X_40) != multiply(X_40,add(X_63,X_40))
| multiply(add(X_63,X_40),X_40) = X_40 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_63,X_40),X_40))),bind(Y0,$fot(multiply(X_40,add(X_63,X_40)))),bind(Z0,$fot(X_40))]]) ).
cnf(refute_0_892,plain,
( multiply(X_40,add(X_63,X_40)) != X_40
| multiply(add(X_63,X_40),X_40) = X_40 ),
inference(resolve,[$cnf( $equal(multiply(add(X_63,X_40),X_40),multiply(X_40,add(X_63,X_40))) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(add(X_63,X_40),X_40) = X_40,
inference(resolve,[$cnf( $equal(multiply(X_40,add(X_63,X_40)),X_40) )],[refute_0_889,refute_0_892]) ).
cnf(refute_0_894,plain,
( multiply(add(X_63,X_40),X_40) != X_40
| add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) != multiply(add(X_63,X_40),X_40)
| add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = X_40 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_40,multiply(X_63,inverse(add(X_63,X_40)))),multiply(add(X_63,X_40),X_40)) ),[1],$fot(X_40)]]) ).
cnf(refute_0_895,plain,
( add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) != multiply(add(X_63,X_40),X_40)
| add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = X_40 ),
inference(resolve,[$cnf( $equal(multiply(add(X_63,X_40),X_40),X_40) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
add(X_40,multiply(X_63,inverse(add(X_63,X_40)))) = X_40,
inference(resolve,[$cnf( $equal(add(X_40,multiply(X_63,inverse(add(X_63,X_40)))),multiply(add(X_63,X_40),X_40)) )],[refute_0_886,refute_0_895]) ).
cnf(refute_0_897,plain,
add(X_22,multiply(X_105,inverse(add(X_105,X_22)))) = X_22,
inference(subst,[],[refute_0_896:[bind(X_40,$fot(X_22)),bind(X_63,$fot(X_105))]]) ).
cnf(refute_0_898,plain,
( multiply(inverse(add(X_105,X_22)),X_105) != multiply(multiply(inverse(add(X_105,X_22)),X_105),add(X_22,multiply(X_105,inverse(add(X_105,X_22)))))
| add(X_22,multiply(X_105,inverse(add(X_105,X_22)))) != X_22
| multiply(inverse(add(X_105,X_22)),X_105) = multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_105,X_22)),X_105),multiply(multiply(inverse(add(X_105,X_22)),X_105),add(X_22,multiply(X_105,inverse(add(X_105,X_22)))))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_899,plain,
( multiply(inverse(add(X_105,X_22)),X_105) != multiply(multiply(inverse(add(X_105,X_22)),X_105),add(X_22,multiply(X_105,inverse(add(X_105,X_22)))))
| multiply(inverse(add(X_105,X_22)),X_105) = multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_105,inverse(add(X_105,X_22)))),X_22) )],[refute_0_897,refute_0_898]) ).
cnf(refute_0_900,plain,
multiply(inverse(add(X_105,X_22)),X_105) = multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_105,X_22)),X_105),multiply(multiply(inverse(add(X_105,X_22)),X_105),add(X_22,multiply(X_105,inverse(add(X_105,X_22)))))) )],[refute_0_879,refute_0_899]) ).
cnf(refute_0_901,plain,
multiply(inverse(add(X_105,X_22)),X_105) = multiply(X_105,inverse(add(X_105,X_22))),
inference(subst,[],[refute_0_750:[bind(X_81,$fot(X_105)),bind(X_82,$fot(inverse(add(X_105,X_22))))]]) ).
cnf(refute_0_902,plain,
( multiply(inverse(add(X_105,X_22)),X_105) != multiply(X_105,inverse(add(X_105,X_22)))
| multiply(inverse(add(X_105,X_22)),X_105) != multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)
| multiply(X_105,inverse(add(X_105,X_22))) = multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_105,X_22)),X_105),multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)) ),[0],$fot(multiply(X_105,inverse(add(X_105,X_22))))]]) ).
cnf(refute_0_903,plain,
( multiply(inverse(add(X_105,X_22)),X_105) != multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)
| multiply(X_105,inverse(add(X_105,X_22))) = multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_105,X_22)),X_105),multiply(X_105,inverse(add(X_105,X_22)))) )],[refute_0_901,refute_0_902]) ).
cnf(refute_0_904,plain,
additive_identity = multiply(multiply(inverse(add(X_142,Y)),X_144),multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144)))),
inference(subst,[],[refute_0_136:[bind(X_92,$fot(multiply(inverse(add(X_142,Y)),X_144)))]]) ).
cnf(refute_0_905,plain,
multiply(X_137,add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94)))) = X_137,
inference(subst,[],[refute_0_848:[bind(X_24,$fot(X_136)),bind(X_39,$fot(X_137)),bind(X_41,$fot(inverse(multiply(inverse(add(X_136,X_137)),X_94))))]]) ).
cnf(refute_0_906,plain,
add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94))) = inverse(multiply(inverse(add(X_136,X_137)),X_94)),
inference(subst,[],[refute_0_865:[bind(Y,$fot(add(X_136,X_137)))]]) ).
cnf(refute_0_907,plain,
( multiply(X_137,add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94)))) != X_137
| add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94))) != inverse(multiply(inverse(add(X_136,X_137)),X_94))
| multiply(X_137,inverse(multiply(inverse(add(X_136,X_137)),X_94))) = X_137 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_137,add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94)))),X_137) ),[0,1],$fot(inverse(multiply(inverse(add(X_136,X_137)),X_94)))]]) ).
cnf(refute_0_908,plain,
( multiply(X_137,add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94)))) != X_137
| multiply(X_137,inverse(multiply(inverse(add(X_136,X_137)),X_94))) = X_137 ),
inference(resolve,[$cnf( $equal(add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94))),inverse(multiply(inverse(add(X_136,X_137)),X_94))) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
multiply(X_137,inverse(multiply(inverse(add(X_136,X_137)),X_94))) = X_137,
inference(resolve,[$cnf( $equal(multiply(X_137,add(add(X_136,X_137),inverse(multiply(inverse(add(X_136,X_137)),X_94)))),X_137) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))) = Y,
inference(subst,[],[refute_0_909:[bind(X_136,$fot(X_142)),bind(X_137,$fot(Y)),bind(X_94,$fot(X_144))]]) ).
cnf(refute_0_911,plain,
( multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))) != Y
| additive_identity != multiply(multiply(inverse(add(X_142,Y)),X_144),multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))))
| additive_identity = multiply(multiply(inverse(add(X_142,Y)),X_144),Y) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(inverse(add(X_142,Y)),X_144),multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_912,plain,
( additive_identity != multiply(multiply(inverse(add(X_142,Y)),X_144),multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))))
| additive_identity = multiply(multiply(inverse(add(X_142,Y)),X_144),Y) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))),Y) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
additive_identity = multiply(multiply(inverse(add(X_142,Y)),X_144),Y),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(inverse(add(X_142,Y)),X_144),multiply(Y,inverse(multiply(inverse(add(X_142,Y)),X_144))))) )],[refute_0_904,refute_0_912]) ).
cnf(refute_0_914,plain,
multiply(multiply(inverse(add(X_142,Y)),X_144),Y) = multiply(Y,multiply(inverse(add(X_142,Y)),X_144)),
inference(subst,[],[refute_0_750:[bind(X_81,$fot(Y)),bind(X_82,$fot(multiply(inverse(add(X_142,Y)),X_144)))]]) ).
cnf(refute_0_915,plain,
( multiply(multiply(inverse(add(X_142,Y)),X_144),Y) != multiply(Y,multiply(inverse(add(X_142,Y)),X_144))
| additive_identity != multiply(multiply(inverse(add(X_142,Y)),X_144),Y)
| additive_identity = multiply(Y,multiply(inverse(add(X_142,Y)),X_144)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(inverse(add(X_142,Y)),X_144),Y)) ),[1],$fot(multiply(Y,multiply(inverse(add(X_142,Y)),X_144)))]]) ).
cnf(refute_0_916,plain,
( additive_identity != multiply(multiply(inverse(add(X_142,Y)),X_144),Y)
| additive_identity = multiply(Y,multiply(inverse(add(X_142,Y)),X_144)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_142,Y)),X_144),Y),multiply(Y,multiply(inverse(add(X_142,Y)),X_144))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
additive_identity = multiply(Y,multiply(inverse(add(X_142,Y)),X_144)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(inverse(add(X_142,Y)),X_144),Y)) )],[refute_0_913,refute_0_916]) ).
cnf(refute_0_918,plain,
( additive_identity != multiply(Y,multiply(inverse(add(X_142,Y)),X_144))
| multiply(Y,multiply(inverse(add(X_142,Y)),X_144)) = additive_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(Y,multiply(inverse(add(X_142,Y)),X_144))))]]) ).
cnf(refute_0_919,plain,
multiply(Y,multiply(inverse(add(X_142,Y)),X_144)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(Y,multiply(inverse(add(X_142,Y)),X_144))) )],[refute_0_917,refute_0_918]) ).
cnf(refute_0_920,plain,
multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)) = additive_identity,
inference(subst,[],[refute_0_919:[bind(Y,$fot(X_22)),bind(X_142,$fot(X_105)),bind(X_144,$fot(X_105))]]) ).
cnf(refute_0_921,plain,
multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) = multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)),
inference(subst,[],[refute_0_750:[bind(X_81,$fot(X_22)),bind(X_82,$fot(multiply(inverse(add(X_105,X_22)),X_105)))]]) ).
cnf(refute_0_922,plain,
( multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)) != additive_identity
| multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) != multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105))
| multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) = additive_identity ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22))),bind(Y0,$fot(multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_923,plain,
( multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)) != additive_identity
| multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22),multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_22,multiply(inverse(add(X_105,X_22)),X_105)),additive_identity) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
( multiply(X_105,inverse(add(X_105,X_22))) != multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)
| multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22) != additive_identity
| multiply(X_105,inverse(add(X_105,X_22))) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_105,inverse(add(X_105,X_22))),additive_identity) ),[0],$fot(multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22))]]) ).
cnf(refute_0_926,plain,
( multiply(X_105,inverse(add(X_105,X_22))) != multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)
| multiply(X_105,inverse(add(X_105,X_22))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22),additive_identity) )],[refute_0_924,refute_0_925]) ).
cnf(refute_0_927,plain,
( multiply(inverse(add(X_105,X_22)),X_105) != multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)
| multiply(X_105,inverse(add(X_105,X_22))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_105,inverse(add(X_105,X_22))),multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)) )],[refute_0_903,refute_0_926]) ).
cnf(refute_0_928,plain,
multiply(X_105,inverse(add(X_105,X_22))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_105,X_22)),X_105),multiply(multiply(inverse(add(X_105,X_22)),X_105),X_22)) )],[refute_0_900,refute_0_927]) ).
cnf(refute_0_929,plain,
multiply(multiply(X_77,X_78),inverse(add(multiply(X_77,X_78),add(inverse(X_77),X_78)))) = additive_identity,
inference(subst,[],[refute_0_928:[bind(X_105,$fot(multiply(X_77,X_78))),bind(X_22,$fot(add(inverse(X_77),X_78)))]]) ).
cnf(refute_0_930,plain,
add(add(X_58,inverse(Y)),multiply(Y,add(X_58,inverse(Y)))) = add(X_58,inverse(Y)),
inference(subst,[],[refute_0_128:[bind(Z,$fot(add(X_58,inverse(Y))))]]) ).
cnf(refute_0_931,plain,
multiply(Y,add(X_58,inverse(Y))) = multiply(Y,X_58),
inference(subst,[],[refute_0_549:[bind(X_39,$fot(Y)),bind(X_40,$fot(X_58))]]) ).
cnf(refute_0_932,plain,
( multiply(Y,add(X_58,inverse(Y))) != multiply(Y,X_58)
| add(add(X_58,inverse(Y)),multiply(Y,add(X_58,inverse(Y)))) != add(X_58,inverse(Y))
| add(add(X_58,inverse(Y)),multiply(Y,X_58)) = add(X_58,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_58,inverse(Y)),multiply(Y,add(X_58,inverse(Y)))),add(X_58,inverse(Y))) ),[0,1],$fot(multiply(Y,X_58))]]) ).
cnf(refute_0_933,plain,
( add(add(X_58,inverse(Y)),multiply(Y,add(X_58,inverse(Y)))) != add(X_58,inverse(Y))
| add(add(X_58,inverse(Y)),multiply(Y,X_58)) = add(X_58,inverse(Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,add(X_58,inverse(Y))),multiply(Y,X_58)) )],[refute_0_931,refute_0_932]) ).
cnf(refute_0_934,plain,
add(add(X_58,inverse(Y)),multiply(Y,X_58)) = add(X_58,inverse(Y)),
inference(resolve,[$cnf( $equal(add(add(X_58,inverse(Y)),multiply(Y,add(X_58,inverse(Y)))),add(X_58,inverse(Y))) )],[refute_0_930,refute_0_933]) ).
cnf(refute_0_935,plain,
add(add(X_58,inverse(Y)),multiply(Y,X_58)) = add(multiply(Y,X_58),add(X_58,inverse(Y))),
inference(subst,[],[refute_0_62:[bind(X,$fot(multiply(Y,X_58))),bind(Y,$fot(add(X_58,inverse(Y))))]]) ).
cnf(refute_0_936,plain,
( add(add(X_58,inverse(Y)),multiply(Y,X_58)) != add(X_58,inverse(Y))
| add(add(X_58,inverse(Y)),multiply(Y,X_58)) != add(multiply(Y,X_58),add(X_58,inverse(Y)))
| add(multiply(Y,X_58),add(X_58,inverse(Y))) = add(X_58,inverse(Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_58,inverse(Y)),multiply(Y,X_58)),add(X_58,inverse(Y))) ),[0],$fot(add(multiply(Y,X_58),add(X_58,inverse(Y))))]]) ).
cnf(refute_0_937,plain,
( add(add(X_58,inverse(Y)),multiply(Y,X_58)) != add(X_58,inverse(Y))
| add(multiply(Y,X_58),add(X_58,inverse(Y))) = add(X_58,inverse(Y)) ),
inference(resolve,[$cnf( $equal(add(add(X_58,inverse(Y)),multiply(Y,X_58)),add(multiply(Y,X_58),add(X_58,inverse(Y)))) )],[refute_0_935,refute_0_936]) ).
cnf(refute_0_938,plain,
add(multiply(Y,X_58),add(X_58,inverse(Y))) = add(X_58,inverse(Y)),
inference(resolve,[$cnf( $equal(add(add(X_58,inverse(Y)),multiply(Y,X_58)),add(X_58,inverse(Y))) )],[refute_0_934,refute_0_937]) ).
cnf(refute_0_939,plain,
add(multiply(X_77,X_78),add(X_78,inverse(X_77))) = add(X_78,inverse(X_77)),
inference(subst,[],[refute_0_938:[bind(Y,$fot(X_77)),bind(X_58,$fot(X_78))]]) ).
cnf(refute_0_940,plain,
add(inverse(X_77),X_78) = add(X_78,inverse(X_77)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(inverse(X_77))),bind(Y,$fot(X_78))]]) ).
cnf(refute_0_941,plain,
( add(inverse(X_77),X_78) != add(X_78,inverse(X_77))
| add(X_78,inverse(X_77)) = add(inverse(X_77),X_78) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(inverse(X_77),X_78))),bind(Y0,$fot(add(X_78,inverse(X_77))))]]) ).
cnf(refute_0_942,plain,
add(X_78,inverse(X_77)) = add(inverse(X_77),X_78),
inference(resolve,[$cnf( $equal(add(inverse(X_77),X_78),add(X_78,inverse(X_77))) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
( add(X_78,inverse(X_77)) != add(inverse(X_77),X_78)
| add(multiply(X_77,X_78),add(X_78,inverse(X_77))) != add(X_78,inverse(X_77))
| add(multiply(X_77,X_78),add(inverse(X_77),X_78)) = add(X_78,inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_77,X_78),add(X_78,inverse(X_77))),add(X_78,inverse(X_77))) ),[0,1],$fot(add(inverse(X_77),X_78))]]) ).
cnf(refute_0_944,plain,
( add(multiply(X_77,X_78),add(X_78,inverse(X_77))) != add(X_78,inverse(X_77))
| add(multiply(X_77,X_78),add(inverse(X_77),X_78)) = add(X_78,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(add(X_78,inverse(X_77)),add(inverse(X_77),X_78)) )],[refute_0_942,refute_0_943]) ).
cnf(refute_0_945,plain,
add(multiply(X_77,X_78),add(inverse(X_77),X_78)) = add(X_78,inverse(X_77)),
inference(resolve,[$cnf( $equal(add(multiply(X_77,X_78),add(X_78,inverse(X_77))),add(X_78,inverse(X_77))) )],[refute_0_939,refute_0_944]) ).
cnf(refute_0_946,plain,
( multiply(multiply(X_77,X_78),inverse(add(multiply(X_77,X_78),add(inverse(X_77),X_78)))) != additive_identity
| add(multiply(X_77,X_78),add(inverse(X_77),X_78)) != add(X_78,inverse(X_77))
| multiply(multiply(X_77,X_78),inverse(add(X_78,inverse(X_77)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_77,X_78),inverse(add(multiply(X_77,X_78),add(inverse(X_77),X_78)))),additive_identity) ),[0,1,0],$fot(add(X_78,inverse(X_77)))]]) ).
cnf(refute_0_947,plain,
( multiply(multiply(X_77,X_78),inverse(add(multiply(X_77,X_78),add(inverse(X_77),X_78)))) != additive_identity
| multiply(multiply(X_77,X_78),inverse(add(X_78,inverse(X_77)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(multiply(X_77,X_78),add(inverse(X_77),X_78)),add(X_78,inverse(X_77))) )],[refute_0_945,refute_0_946]) ).
cnf(refute_0_948,plain,
multiply(multiply(X_77,X_78),inverse(add(X_78,inverse(X_77)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_77,X_78),inverse(add(multiply(X_77,X_78),add(inverse(X_77),X_78)))),additive_identity) )],[refute_0_929,refute_0_947]) ).
cnf(refute_0_949,plain,
multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))) = additive_identity,
inference(subst,[],[refute_0_948:[bind(X_77,$fot(X_198)),bind(X_78,$fot(X_199))]]) ).
cnf(refute_0_950,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != add(multiply(multiply(X_198,X_199),Y),multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))))
| multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))) != additive_identity
| multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = add(multiply(multiply(X_198,X_199),Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),add(multiply(multiply(X_198,X_199),Y),multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_951,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != add(multiply(multiply(X_198,X_199),Y),multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))))
| multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = add(multiply(multiply(X_198,X_199),Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))),additive_identity) )],[refute_0_949,refute_0_950]) ).
cnf(refute_0_952,plain,
multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = add(multiply(multiply(X_198,X_199),Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),add(multiply(multiply(X_198,X_199),Y),multiply(multiply(X_198,X_199),inverse(add(X_199,inverse(X_198)))))) )],[refute_0_878,refute_0_951]) ).
cnf(refute_0_953,plain,
add(additive_identity,multiply(Y,multiply(X_198,X_199))) = multiply(Y,multiply(X_198,X_199)),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(Y,multiply(X_198,X_199))))]]) ).
cnf(refute_0_954,plain,
add(X_10,multiply(multiply(X_116,X_115),multiply(X_115,X_116))) = multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)),
inference(subst,[],[refute_0_491:[bind(X_11,$fot(multiply(X_116,X_115))),bind(X_12,$fot(multiply(X_115,X_116)))]]) ).
cnf(refute_0_955,plain,
( multiply(multiply(X_116,X_115),multiply(X_115,X_116)) != multiply(X_116,X_115)
| add(X_10,multiply(multiply(X_116,X_115),multiply(X_115,X_116))) != multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))
| add(X_10,multiply(X_116,X_115)) = multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(multiply(X_116,X_115),multiply(X_115,X_116))),multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))) ),[0,1],$fot(multiply(X_116,X_115))]]) ).
cnf(refute_0_956,plain,
( add(X_10,multiply(multiply(X_116,X_115),multiply(X_115,X_116))) != multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))
| add(X_10,multiply(X_116,X_115)) = multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_116,X_115),multiply(X_115,X_116)),multiply(X_116,X_115)) )],[refute_0_760,refute_0_955]) ).
cnf(refute_0_957,plain,
add(X_10,multiply(X_116,X_115)) = multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(multiply(X_116,X_115),multiply(X_115,X_116))),multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))) )],[refute_0_954,refute_0_956]) ).
cnf(refute_0_958,plain,
multiply(X_10,X_10) = X_10,
inference(subst,[],[refute_0_424:[bind(X_28,$fot(X_10))]]) ).
cnf(refute_0_959,plain,
add(multiply(X_115,X_116),multiply(X_10,X_10)) = add(multiply(X_115,X_116),multiply(X_10,X_10)),
introduced(tautology,[refl,[$fot(add(multiply(X_115,X_116),multiply(X_10,X_10)))]]) ).
cnf(refute_0_960,plain,
( multiply(X_10,X_10) != X_10
| add(multiply(X_115,X_116),multiply(X_10,X_10)) != add(multiply(X_115,X_116),multiply(X_10,X_10))
| add(multiply(X_115,X_116),multiply(X_10,X_10)) = add(multiply(X_115,X_116),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_115,X_116),multiply(X_10,X_10)),add(multiply(X_115,X_116),multiply(X_10,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_961,plain,
( multiply(X_10,X_10) != X_10
| add(multiply(X_115,X_116),multiply(X_10,X_10)) = add(multiply(X_115,X_116),X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(X_115,X_116),multiply(X_10,X_10)),add(multiply(X_115,X_116),multiply(X_10,X_10))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
add(multiply(X_115,X_116),multiply(X_10,X_10)) = add(multiply(X_115,X_116),X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,X_10),X_10) )],[refute_0_958,refute_0_961]) ).
cnf(refute_0_963,plain,
add(multiply(X_106,X_105),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_106,X_105)),add(multiply(X_106,X_105),X_12)),
inference(subst,[],[refute_0_145:[bind(X_10,$fot(multiply(X_106,X_105)))]]) ).
cnf(refute_0_964,plain,
add(X_11,multiply(X_106,X_105)) = add(X_11,multiply(X_105,X_106)),
inference(subst,[],[refute_0_374:[bind(X_10,$fot(X_11)),bind(X_11,$fot(X_105)),bind(X_12,$fot(X_106))]]) ).
cnf(refute_0_965,plain,
( add(X_11,multiply(X_106,X_105)) != add(X_11,multiply(X_105,X_106))
| add(multiply(X_106,X_105),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_106,X_105)),add(multiply(X_106,X_105),X_12))
| add(multiply(X_106,X_105),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_106,X_105),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_106,X_105)),add(multiply(X_106,X_105),X_12))) ),[1,0],$fot(add(X_11,multiply(X_105,X_106)))]]) ).
cnf(refute_0_966,plain,
( add(multiply(X_106,X_105),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_106,X_105)),add(multiply(X_106,X_105),X_12))
| add(multiply(X_106,X_105),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12)) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_106,X_105)),add(X_11,multiply(X_105,X_106))) )],[refute_0_964,refute_0_965]) ).
cnf(refute_0_967,plain,
add(multiply(X_106,X_105),multiply(X_11,X_12)) = multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_106,X_105),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_106,X_105)),add(multiply(X_106,X_105),X_12))) )],[refute_0_963,refute_0_966]) ).
cnf(refute_0_968,plain,
( add(multiply(X_106,X_105),multiply(X_11,X_12)) != multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12))
| multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12)) = add(multiply(X_106,X_105),multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(X_106,X_105),multiply(X_11,X_12)))),bind(Y0,$fot(multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12))))]]) ).
cnf(refute_0_969,plain,
multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12)) = add(multiply(X_106,X_105),multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_106,X_105),multiply(X_11,X_12)),multiply(add(X_11,multiply(X_105,X_106)),add(multiply(X_106,X_105),X_12))) )],[refute_0_967,refute_0_968]) ).
cnf(refute_0_970,plain,
multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) = add(multiply(X_115,X_116),multiply(X_10,X_10)),
inference(subst,[],[refute_0_969:[bind(X_105,$fot(X_116)),bind(X_106,$fot(X_115)),bind(X_11,$fot(X_10)),bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_971,plain,
( multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) != add(multiply(X_115,X_116),multiply(X_10,X_10))
| add(multiply(X_115,X_116),multiply(X_10,X_10)) != add(multiply(X_115,X_116),X_10)
| multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) = add(multiply(X_115,X_116),X_10) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)))),bind(Y0,$fot(add(multiply(X_115,X_116),multiply(X_10,X_10)))),bind(Z0,$fot(add(multiply(X_115,X_116),X_10)))]]) ).
cnf(refute_0_972,plain,
( add(multiply(X_115,X_116),multiply(X_10,X_10)) != add(multiply(X_115,X_116),X_10)
| multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) = add(multiply(X_115,X_116),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)),add(multiply(X_115,X_116),multiply(X_10,X_10))) )],[refute_0_970,refute_0_971]) ).
cnf(refute_0_973,plain,
multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) = add(multiply(X_115,X_116),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_115,X_116),multiply(X_10,X_10)),add(multiply(X_115,X_116),X_10)) )],[refute_0_962,refute_0_972]) ).
cnf(refute_0_974,plain,
( multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) != add(multiply(X_115,X_116),X_10)
| add(X_10,multiply(X_116,X_115)) != multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))
| add(X_10,multiply(X_116,X_115)) = add(multiply(X_115,X_116),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_116,X_115)),multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))) ),[1],$fot(add(multiply(X_115,X_116),X_10))]]) ).
cnf(refute_0_975,plain,
( add(X_10,multiply(X_116,X_115)) != multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))
| add(X_10,multiply(X_116,X_115)) = add(multiply(X_115,X_116),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)),add(multiply(X_115,X_116),X_10)) )],[refute_0_973,refute_0_974]) ).
cnf(refute_0_976,plain,
add(X_10,multiply(X_116,X_115)) = add(multiply(X_115,X_116),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_116,X_115)),multiply(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10))) )],[refute_0_957,refute_0_975]) ).
cnf(refute_0_977,plain,
( add(X_10,multiply(X_116,X_115)) != add(multiply(X_115,X_116),X_10)
| add(multiply(X_115,X_116),X_10) = add(X_10,multiply(X_116,X_115)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_10,multiply(X_116,X_115)))),bind(Y0,$fot(add(multiply(X_115,X_116),X_10)))]]) ).
cnf(refute_0_978,plain,
add(multiply(X_115,X_116),X_10) = add(X_10,multiply(X_116,X_115)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_116,X_115)),add(multiply(X_115,X_116),X_10)) )],[refute_0_976,refute_0_977]) ).
cnf(refute_0_979,plain,
add(multiply(multiply(X_198,X_199),Y),additive_identity) = add(additive_identity,multiply(Y,multiply(X_198,X_199))),
inference(subst,[],[refute_0_978:[bind(X_10,$fot(additive_identity)),bind(X_115,$fot(multiply(X_198,X_199))),bind(X_116,$fot(Y))]]) ).
cnf(refute_0_980,plain,
( add(multiply(multiply(X_198,X_199),Y),additive_identity) != add(additive_identity,multiply(Y,multiply(X_198,X_199)))
| add(additive_identity,multiply(Y,multiply(X_198,X_199))) != multiply(Y,multiply(X_198,X_199))
| add(multiply(multiply(X_198,X_199),Y),additive_identity) = multiply(Y,multiply(X_198,X_199)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(multiply(X_198,X_199),Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(Y,multiply(X_198,X_199))))),bind(Z0,$fot(multiply(Y,multiply(X_198,X_199))))]]) ).
cnf(refute_0_981,plain,
( add(additive_identity,multiply(Y,multiply(X_198,X_199))) != multiply(Y,multiply(X_198,X_199))
| add(multiply(multiply(X_198,X_199),Y),additive_identity) = multiply(Y,multiply(X_198,X_199)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_198,X_199),Y),additive_identity),add(additive_identity,multiply(Y,multiply(X_198,X_199)))) )],[refute_0_979,refute_0_980]) ).
cnf(refute_0_982,plain,
add(multiply(multiply(X_198,X_199),Y),additive_identity) = multiply(Y,multiply(X_198,X_199)),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Y,multiply(X_198,X_199))),multiply(Y,multiply(X_198,X_199))) )],[refute_0_953,refute_0_981]) ).
cnf(refute_0_983,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != add(multiply(multiply(X_198,X_199),Y),additive_identity)
| add(multiply(multiply(X_198,X_199),Y),additive_identity) != multiply(Y,multiply(X_198,X_199))
| multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = multiply(Y,multiply(X_198,X_199)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),multiply(Y,multiply(X_198,X_199))) ),[0],$fot(add(multiply(multiply(X_198,X_199),Y),additive_identity))]]) ).
cnf(refute_0_984,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != add(multiply(multiply(X_198,X_199),Y),additive_identity)
| multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = multiply(Y,multiply(X_198,X_199)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_198,X_199),Y),additive_identity),multiply(Y,multiply(X_198,X_199))) )],[refute_0_982,refute_0_983]) ).
cnf(refute_0_985,plain,
multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = multiply(Y,multiply(X_198,X_199)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),add(multiply(multiply(X_198,X_199),Y),additive_identity)) )],[refute_0_952,refute_0_984]) ).
cnf(refute_0_986,plain,
multiply(X,add(Y,multiply(X,X_178))) = add(multiply(X,Y),multiply(X,multiply(X,X_178))),
inference(subst,[],[distributivity2:[bind(Z,$fot(multiply(X,X_178)))]]) ).
cnf(refute_0_987,plain,
multiply(X_22,X_80) = multiply(multiply(X_22,X_80),add(X_22,multiply(X_22,X_80))),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(multiply(X_22,X_80)))]]) ).
cnf(refute_0_988,plain,
add(X_22,multiply(X_22,X_80)) = X_22,
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_22)),bind(Z,$fot(X_80))]]) ).
cnf(refute_0_989,plain,
( multiply(X_22,X_80) != multiply(multiply(X_22,X_80),add(X_22,multiply(X_22,X_80)))
| add(X_22,multiply(X_22,X_80)) != X_22
| multiply(X_22,X_80) = multiply(multiply(X_22,X_80),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_22,X_80),multiply(multiply(X_22,X_80),add(X_22,multiply(X_22,X_80)))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_990,plain,
( multiply(X_22,X_80) != multiply(multiply(X_22,X_80),add(X_22,multiply(X_22,X_80)))
| multiply(X_22,X_80) = multiply(multiply(X_22,X_80),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_22,X_80)),X_22) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
multiply(X_22,X_80) = multiply(multiply(X_22,X_80),X_22),
inference(resolve,[$cnf( $equal(multiply(X_22,X_80),multiply(multiply(X_22,X_80),add(X_22,multiply(X_22,X_80)))) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
multiply(multiply(X_22,X_80),X_22) = multiply(X_22,multiply(X_22,X_80)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_22)),bind(Y,$fot(multiply(X_22,X_80)))]]) ).
cnf(refute_0_993,plain,
( multiply(X_22,X_80) != multiply(multiply(X_22,X_80),X_22)
| multiply(multiply(X_22,X_80),X_22) != multiply(X_22,multiply(X_22,X_80))
| multiply(X_22,X_80) = multiply(X_22,multiply(X_22,X_80)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,X_80),multiply(X_22,multiply(X_22,X_80))) ),[0],$fot(multiply(multiply(X_22,X_80),X_22))]]) ).
cnf(refute_0_994,plain,
( multiply(X_22,X_80) != multiply(multiply(X_22,X_80),X_22)
| multiply(X_22,X_80) = multiply(X_22,multiply(X_22,X_80)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_80),X_22),multiply(X_22,multiply(X_22,X_80))) )],[refute_0_992,refute_0_993]) ).
cnf(refute_0_995,plain,
multiply(X_22,X_80) = multiply(X_22,multiply(X_22,X_80)),
inference(resolve,[$cnf( $equal(multiply(X_22,X_80),multiply(multiply(X_22,X_80),X_22)) )],[refute_0_991,refute_0_994]) ).
cnf(refute_0_996,plain,
multiply(X,X_178) = multiply(X,multiply(X,X_178)),
inference(subst,[],[refute_0_995:[bind(X_22,$fot(X)),bind(X_80,$fot(X_178))]]) ).
cnf(refute_0_997,plain,
( multiply(X,X_178) != multiply(X,multiply(X,X_178))
| multiply(X,multiply(X,X_178)) = multiply(X,X_178) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X,X_178))),bind(Y0,$fot(multiply(X,multiply(X,X_178))))]]) ).
cnf(refute_0_998,plain,
multiply(X,multiply(X,X_178)) = multiply(X,X_178),
inference(resolve,[$cnf( $equal(multiply(X,X_178),multiply(X,multiply(X,X_178))) )],[refute_0_996,refute_0_997]) ).
cnf(refute_0_999,plain,
( multiply(X,multiply(X,X_178)) != multiply(X,X_178)
| multiply(X,add(Y,multiply(X,X_178))) != add(multiply(X,Y),multiply(X,multiply(X,X_178)))
| multiply(X,add(Y,multiply(X,X_178))) = add(multiply(X,Y),multiply(X,X_178)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_178))),add(multiply(X,Y),multiply(X,multiply(X,X_178)))) ),[1,1],$fot(multiply(X,X_178))]]) ).
cnf(refute_0_1000,plain,
( multiply(X,add(Y,multiply(X,X_178))) != add(multiply(X,Y),multiply(X,multiply(X,X_178)))
| multiply(X,add(Y,multiply(X,X_178))) = add(multiply(X,Y),multiply(X,X_178)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,X_178)),multiply(X,X_178)) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
multiply(X,add(Y,multiply(X,X_178))) = add(multiply(X,Y),multiply(X,X_178)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_178))),add(multiply(X,Y),multiply(X,multiply(X,X_178)))) )],[refute_0_986,refute_0_1000]) ).
cnf(refute_0_1002,plain,
add(multiply(X,Y),multiply(X,X_178)) = multiply(X,add(Y,X_178)),
inference(subst,[],[refute_0_193:[bind(Z,$fot(X_178))]]) ).
cnf(refute_0_1003,plain,
( multiply(X,add(Y,multiply(X,X_178))) != add(multiply(X,Y),multiply(X,X_178))
| add(multiply(X,Y),multiply(X,X_178)) != multiply(X,add(Y,X_178))
| multiply(X,add(Y,multiply(X,X_178))) = multiply(X,add(Y,X_178)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Y,multiply(X,X_178))),multiply(X,add(Y,X_178))) ),[0],$fot(add(multiply(X,Y),multiply(X,X_178)))]]) ).
cnf(refute_0_1004,plain,
( multiply(X,add(Y,multiply(X,X_178))) != add(multiply(X,Y),multiply(X,X_178))
| multiply(X,add(Y,multiply(X,X_178))) = multiply(X,add(Y,X_178)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,X_178)),multiply(X,add(Y,X_178))) )],[refute_0_1002,refute_0_1003]) ).
cnf(refute_0_1005,plain,
multiply(X,add(Y,multiply(X,X_178))) = multiply(X,add(Y,X_178)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,multiply(X,X_178))),add(multiply(X,Y),multiply(X,X_178))) )],[refute_0_1001,refute_0_1004]) ).
cnf(refute_0_1006,plain,
multiply(multiply(X_381,X_382),add(Y,multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))))) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))),
inference(subst,[],[refute_0_1005:[bind(X,$fot(multiply(X_381,X_382))),bind(X_178,$fot(inverse(add(X_382,X_380))))]]) ).
cnf(refute_0_1007,plain,
multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209))),
inference(subst,[],[refute_0_757:[bind(X_110,$fot(inverse(add(X_209,X_207)))),bind(X_111,$fot(multiply(X_208,X_209)))]]) ).
cnf(refute_0_1008,plain,
multiply(X_190,inverse(add(X_191,X_190))) = multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190))))))),
inference(subst,[],[refute_0_790:[bind(X_92,$fot(multiply(X_190,inverse(add(X_191,X_190)))))]]) ).
cnf(refute_0_1009,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_69),X_12)),add(X_69,multiply(inverse(X_69),X_12))),
inference(subst,[],[refute_0_457:[bind(X_22,$fot(X_69)),bind(X_65,$fot(multiply(inverse(X_69),X_12)))]]) ).
cnf(refute_0_1010,plain,
add(X_69,multiply(inverse(X_69),X_12)) = add(X_69,X_12),
inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_69))]]) ).
cnf(refute_0_1011,plain,
( add(X_69,multiply(inverse(X_69),X_12)) != add(X_69,X_12)
| multiplicative_identity != add(inverse(multiply(inverse(X_69),X_12)),add(X_69,multiply(inverse(X_69),X_12)))
| multiplicative_identity = add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_69),X_12)),add(X_69,multiply(inverse(X_69),X_12)))) ),[1,1],$fot(add(X_69,X_12))]]) ).
cnf(refute_0_1012,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_69),X_12)),add(X_69,multiply(inverse(X_69),X_12)))
| multiplicative_identity = add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_69,multiply(inverse(X_69),X_12)),add(X_69,X_12)) )],[refute_0_1010,refute_0_1011]) ).
cnf(refute_0_1013,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_69),X_12)),add(X_69,multiply(inverse(X_69),X_12)))) )],[refute_0_1009,refute_0_1012]) ).
cnf(refute_0_1014,plain,
add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)) = add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12))),
inference(subst,[],[refute_0_62:[bind(X,$fot(add(X_69,X_12))),bind(Y,$fot(inverse(multiply(inverse(X_69),X_12))))]]) ).
cnf(refute_0_1015,plain,
( add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)) != add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12)))
| multiplicative_identity != add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12))
| multiplicative_identity = add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12))) ),[1],$fot(add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12))))]]) ).
cnf(refute_0_1016,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12))
| multiplicative_identity = add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12)),add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12)))) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
multiplicative_identity = add(add(X_69,X_12),inverse(multiply(inverse(X_69),X_12))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_69),X_12)),add(X_69,X_12))) )],[refute_0_1013,refute_0_1016]) ).
cnf(refute_0_1018,plain,
multiplicative_identity = add(add(X_125,multiply(Y,X_125)),inverse(multiply(inverse(X_125),multiply(Y,X_125)))),
inference(subst,[],[refute_0_1017:[bind(X_12,$fot(multiply(Y,X_125))),bind(X_69,$fot(X_125))]]) ).
cnf(refute_0_1019,plain,
add(X_125,multiply(Y,X_125)) = X_125,
inference(subst,[],[refute_0_128:[bind(Z,$fot(X_125))]]) ).
cnf(refute_0_1020,plain,
( add(X_125,multiply(Y,X_125)) != X_125
| multiplicative_identity != add(add(X_125,multiply(Y,X_125)),inverse(multiply(inverse(X_125),multiply(Y,X_125))))
| multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_125,multiply(Y,X_125)),inverse(multiply(inverse(X_125),multiply(Y,X_125))))) ),[1,0],$fot(X_125)]]) ).
cnf(refute_0_1021,plain,
( multiplicative_identity != add(add(X_125,multiply(Y,X_125)),inverse(multiply(inverse(X_125),multiply(Y,X_125))))
| multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))) ),
inference(resolve,[$cnf( $equal(add(X_125,multiply(Y,X_125)),X_125) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_125,multiply(Y,X_125)),inverse(multiply(inverse(X_125),multiply(Y,X_125))))) )],[refute_0_1018,refute_0_1021]) ).
cnf(refute_0_1023,plain,
add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))) = inverse(multiply(inverse(X_125),multiply(Y,X_125))),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_125)),bind(X_94,$fot(multiply(Y,X_125)))]]) ).
cnf(refute_0_1024,plain,
( add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))) != inverse(multiply(inverse(X_125),multiply(Y,X_125)))
| multiplicative_identity != add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125))))
| multiplicative_identity = inverse(multiply(inverse(X_125),multiply(Y,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125))))) ),[1],$fot(inverse(multiply(inverse(X_125),multiply(Y,X_125))))]]) ).
cnf(refute_0_1025,plain,
( multiplicative_identity != add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125))))
| multiplicative_identity = inverse(multiply(inverse(X_125),multiply(Y,X_125))) ),
inference(resolve,[$cnf( $equal(add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125)))),inverse(multiply(inverse(X_125),multiply(Y,X_125)))) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
multiplicative_identity = inverse(multiply(inverse(X_125),multiply(Y,X_125))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_125,inverse(multiply(inverse(X_125),multiply(Y,X_125))))) )],[refute_0_1022,refute_0_1025]) ).
cnf(refute_0_1027,plain,
multiplicative_identity = inverse(multiply(inverse(add(X_22,X_128)),multiply(X_128,add(X_22,X_128)))),
inference(subst,[],[refute_0_1026:[bind(Y,$fot(X_128)),bind(X_125,$fot(add(X_22,X_128)))]]) ).
cnf(refute_0_1028,plain,
X_128 = multiply(X_128,add(X_22,X_128)),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(X_128))]]) ).
cnf(refute_0_1029,plain,
( X_128 != multiply(X_128,add(X_22,X_128))
| multiply(X_128,add(X_22,X_128)) = X_128 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_128)),bind(Y0,$fot(multiply(X_128,add(X_22,X_128))))]]) ).
cnf(refute_0_1030,plain,
multiply(X_128,add(X_22,X_128)) = X_128,
inference(resolve,[$cnf( $equal(X_128,multiply(X_128,add(X_22,X_128))) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
( multiply(X_128,add(X_22,X_128)) != X_128
| multiplicative_identity != inverse(multiply(inverse(add(X_22,X_128)),multiply(X_128,add(X_22,X_128))))
| multiplicative_identity = inverse(multiply(inverse(add(X_22,X_128)),X_128)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,inverse(multiply(inverse(add(X_22,X_128)),multiply(X_128,add(X_22,X_128))))) ),[1,0,1],$fot(X_128)]]) ).
cnf(refute_0_1032,plain,
( multiplicative_identity != inverse(multiply(inverse(add(X_22,X_128)),multiply(X_128,add(X_22,X_128))))
| multiplicative_identity = inverse(multiply(inverse(add(X_22,X_128)),X_128)) ),
inference(resolve,[$cnf( $equal(multiply(X_128,add(X_22,X_128)),X_128) )],[refute_0_1030,refute_0_1031]) ).
cnf(refute_0_1033,plain,
multiplicative_identity = inverse(multiply(inverse(add(X_22,X_128)),X_128)),
inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(inverse(add(X_22,X_128)),multiply(X_128,add(X_22,X_128))))) )],[refute_0_1027,refute_0_1032]) ).
cnf(refute_0_1034,plain,
add(X_122,inverse(multiply(inverse(X_122),X_123))) = inverse(multiply(inverse(X_122),X_123)),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_122)),bind(X_94,$fot(X_123))]]) ).
cnf(refute_0_1035,plain,
multiply(X_123,inverse(X_122)) = multiply(inverse(X_122),X_123),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_123)),bind(Y,$fot(inverse(X_122)))]]) ).
cnf(refute_0_1036,plain,
( multiply(X_123,inverse(X_122)) != multiply(inverse(X_122),X_123)
| multiply(inverse(X_122),X_123) = multiply(X_123,inverse(X_122)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_123,inverse(X_122)))),bind(Y0,$fot(multiply(inverse(X_122),X_123)))]]) ).
cnf(refute_0_1037,plain,
multiply(inverse(X_122),X_123) = multiply(X_123,inverse(X_122)),
inference(resolve,[$cnf( $equal(multiply(X_123,inverse(X_122)),multiply(inverse(X_122),X_123)) )],[refute_0_1035,refute_0_1036]) ).
cnf(refute_0_1038,plain,
( multiply(inverse(X_122),X_123) != multiply(X_123,inverse(X_122))
| add(X_122,inverse(multiply(inverse(X_122),X_123))) != inverse(multiply(inverse(X_122),X_123))
| add(X_122,inverse(multiply(X_123,inverse(X_122)))) = inverse(multiply(inverse(X_122),X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_122,inverse(multiply(inverse(X_122),X_123))),inverse(multiply(inverse(X_122),X_123))) ),[0,1,0],$fot(multiply(X_123,inverse(X_122)))]]) ).
cnf(refute_0_1039,plain,
( add(X_122,inverse(multiply(inverse(X_122),X_123))) != inverse(multiply(inverse(X_122),X_123))
| add(X_122,inverse(multiply(X_123,inverse(X_122)))) = inverse(multiply(inverse(X_122),X_123)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_122),X_123),multiply(X_123,inverse(X_122))) )],[refute_0_1037,refute_0_1038]) ).
cnf(refute_0_1040,plain,
add(X_122,inverse(multiply(X_123,inverse(X_122)))) = inverse(multiply(inverse(X_122),X_123)),
inference(resolve,[$cnf( $equal(add(X_122,inverse(multiply(inverse(X_122),X_123))),inverse(multiply(inverse(X_122),X_123))) )],[refute_0_1034,refute_0_1039]) ).
cnf(refute_0_1041,plain,
add(X_122,inverse(multiply(X_123,inverse(X_122)))) = inverse(multiply(X_123,inverse(X_122))),
inference(subst,[],[refute_0_800:[bind(Y,$fot(X_122)),bind(X_98,$fot(X_123))]]) ).
cnf(refute_0_1042,plain,
( add(X_122,inverse(multiply(X_123,inverse(X_122)))) != inverse(multiply(X_123,inverse(X_122)))
| add(X_122,inverse(multiply(X_123,inverse(X_122)))) != inverse(multiply(inverse(X_122),X_123))
| inverse(multiply(X_123,inverse(X_122))) = inverse(multiply(inverse(X_122),X_123)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_122,inverse(multiply(X_123,inverse(X_122)))),inverse(multiply(inverse(X_122),X_123))) ),[0],$fot(inverse(multiply(X_123,inverse(X_122))))]]) ).
cnf(refute_0_1043,plain,
( add(X_122,inverse(multiply(X_123,inverse(X_122)))) != inverse(multiply(inverse(X_122),X_123))
| inverse(multiply(X_123,inverse(X_122))) = inverse(multiply(inverse(X_122),X_123)) ),
inference(resolve,[$cnf( $equal(add(X_122,inverse(multiply(X_123,inverse(X_122)))),inverse(multiply(X_123,inverse(X_122)))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
inverse(multiply(X_123,inverse(X_122))) = inverse(multiply(inverse(X_122),X_123)),
inference(resolve,[$cnf( $equal(add(X_122,inverse(multiply(X_123,inverse(X_122)))),inverse(multiply(inverse(X_122),X_123))) )],[refute_0_1040,refute_0_1043]) ).
cnf(refute_0_1045,plain,
( inverse(multiply(X_123,inverse(X_122))) != inverse(multiply(inverse(X_122),X_123))
| inverse(multiply(inverse(X_122),X_123)) = inverse(multiply(X_123,inverse(X_122))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(multiply(X_123,inverse(X_122))))),bind(Y0,$fot(inverse(multiply(inverse(X_122),X_123))))]]) ).
cnf(refute_0_1046,plain,
inverse(multiply(inverse(X_122),X_123)) = inverse(multiply(X_123,inverse(X_122))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_123,inverse(X_122))),inverse(multiply(inverse(X_122),X_123))) )],[refute_0_1044,refute_0_1045]) ).
cnf(refute_0_1047,plain,
inverse(multiply(inverse(add(X_22,X_128)),X_128)) = inverse(multiply(X_128,inverse(add(X_22,X_128)))),
inference(subst,[],[refute_0_1046:[bind(X_122,$fot(add(X_22,X_128))),bind(X_123,$fot(X_128))]]) ).
cnf(refute_0_1048,plain,
( inverse(multiply(inverse(add(X_22,X_128)),X_128)) != inverse(multiply(X_128,inverse(add(X_22,X_128))))
| multiplicative_identity != inverse(multiply(inverse(add(X_22,X_128)),X_128))
| multiplicative_identity = inverse(multiply(X_128,inverse(add(X_22,X_128)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,inverse(multiply(inverse(add(X_22,X_128)),X_128))) ),[1],$fot(inverse(multiply(X_128,inverse(add(X_22,X_128)))))]]) ).
cnf(refute_0_1049,plain,
( multiplicative_identity != inverse(multiply(inverse(add(X_22,X_128)),X_128))
| multiplicative_identity = inverse(multiply(X_128,inverse(add(X_22,X_128)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(X_22,X_128)),X_128)),inverse(multiply(X_128,inverse(add(X_22,X_128))))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
multiplicative_identity = inverse(multiply(X_128,inverse(add(X_22,X_128)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(inverse(add(X_22,X_128)),X_128))) )],[refute_0_1033,refute_0_1049]) ).
cnf(refute_0_1051,plain,
multiplicative_identity = inverse(multiply(X_190,inverse(add(X_191,X_190)))),
inference(subst,[],[refute_0_1050:[bind(X_128,$fot(X_190)),bind(X_22,$fot(X_191))]]) ).
cnf(refute_0_1052,plain,
( multiplicative_identity != inverse(multiply(X_190,inverse(add(X_191,X_190))))
| inverse(multiply(X_190,inverse(add(X_191,X_190)))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(inverse(multiply(X_190,inverse(add(X_191,X_190))))))]]) ).
cnf(refute_0_1053,plain,
inverse(multiply(X_190,inverse(add(X_191,X_190)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(X_190,inverse(add(X_191,X_190))))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
( multiply(X_190,inverse(add(X_191,X_190))) != multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190)))))))
| inverse(multiply(X_190,inverse(add(X_191,X_190)))) != multiplicative_identity
| multiply(X_190,inverse(add(X_191,X_190))) = multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_190,inverse(add(X_191,X_190))),multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190)))))))) ),[1,1,0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1055,plain,
( multiply(X_190,inverse(add(X_191,X_190))) != multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190)))))))
| multiply(X_190,inverse(add(X_191,X_190))) = multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_190,inverse(add(X_191,X_190)))),multiplicative_identity) )],[refute_0_1053,refute_0_1054]) ).
cnf(refute_0_1056,plain,
multiply(X_190,inverse(add(X_191,X_190))) = multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))),
inference(resolve,[$cnf( $equal(multiply(X_190,inverse(add(X_191,X_190))),multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190)))))))) )],[refute_0_1008,refute_0_1055]) ).
cnf(refute_0_1057,plain,
additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190)))))),
inference(subst,[],[refute_0_136:[bind(X_92,$fot(multiply(X_190,inverse(add(X_191,X_190)))))]]) ).
cnf(refute_0_1058,plain,
( additive_identity != multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190))))))
| inverse(multiply(X_190,inverse(add(X_191,X_190)))) != multiplicative_identity
| additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190))))))) ),[1,1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1059,plain,
( additive_identity != multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190))))))
| additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_190,inverse(add(X_191,X_190)))),multiplicative_identity) )],[refute_0_1053,refute_0_1058]) ).
cnf(refute_0_1060,plain,
additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,inverse(multiply(X_190,inverse(add(X_191,X_190))))))) )],[refute_0_1057,refute_0_1059]) ).
cnf(refute_0_1061,plain,
multiply(Y,multiplicative_identity) = Y,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_1062,plain,
multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) = multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)))]]) ).
cnf(refute_0_1063,plain,
( multiply(Y,multiplicative_identity) != Y
| multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) != multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))
| multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)),multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_1064,plain,
( multiply(Y,multiplicative_identity) != Y
| multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)),multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))) )],[refute_0_1062,refute_0_1063]) ).
cnf(refute_0_1065,plain,
multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y),
inference(resolve,[$cnf( $equal(multiply(Y,multiplicative_identity),Y) )],[refute_0_1061,refute_0_1064]) ).
cnf(refute_0_1066,plain,
( multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)) != multiply(multiply(X_190,inverse(add(X_191,X_190))),Y)
| additive_identity != multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))
| additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))) ),[1],$fot(multiply(multiply(X_190,inverse(add(X_191,X_190))),Y))]]) ).
cnf(refute_0_1067,plain,
( additive_identity != multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))
| additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity)),multiply(multiply(X_190,inverse(add(X_191,X_190))),Y)) )],[refute_0_1065,refute_0_1066]) ).
cnf(refute_0_1068,plain,
additive_identity = multiply(multiply(X_190,inverse(add(X_191,X_190))),Y),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_190,inverse(add(X_191,X_190))),multiply(Y,multiplicative_identity))) )],[refute_0_1060,refute_0_1067]) ).
cnf(refute_0_1069,plain,
( additive_identity != multiply(multiply(X_190,inverse(add(X_191,X_190))),Y)
| multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) = additive_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(X_190,inverse(add(X_191,X_190))),Y)))]]) ).
cnf(refute_0_1070,plain,
multiply(multiply(X_190,inverse(add(X_191,X_190))),Y) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_190,inverse(add(X_191,X_190))),Y)) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))) = additive_identity,
inference(subst,[],[refute_0_1070:[bind(Y,$fot(inverse(multiply(Y,multiplicative_identity))))]]) ).
cnf(refute_0_1072,plain,
( multiply(X_190,inverse(add(X_191,X_190))) != multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity)))
| multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))) != additive_identity
| multiply(X_190,inverse(add(X_191,X_190))) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_190,inverse(add(X_191,X_190))),additive_identity) ),[0],$fot(multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))))]]) ).
cnf(refute_0_1073,plain,
( multiply(X_190,inverse(add(X_191,X_190))) != multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity)))
| multiply(X_190,inverse(add(X_191,X_190))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity))),additive_identity) )],[refute_0_1071,refute_0_1072]) ).
cnf(refute_0_1074,plain,
multiply(X_190,inverse(add(X_191,X_190))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_190,inverse(add(X_191,X_190))),multiply(multiply(X_190,inverse(add(X_191,X_190))),inverse(multiply(Y,multiplicative_identity)))) )],[refute_0_1056,refute_0_1073]) ).
cnf(refute_0_1075,plain,
multiply(add(X_204,multiply(X_205,X_206)),inverse(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))))) = additive_identity,
inference(subst,[],[refute_0_1074:[bind(X_190,$fot(add(X_204,multiply(X_205,X_206)))),bind(X_191,$fot(add(X_206,X_204)))]]) ).
cnf(refute_0_1076,plain,
add(add(X_61,X_59),multiply(add(X_59,X_60),add(X_61,X_59))) = add(X_61,X_59),
inference(subst,[],[refute_0_128:[bind(Y,$fot(add(X_59,X_60))),bind(Z,$fot(add(X_61,X_59)))]]) ).
cnf(refute_0_1077,plain,
add(X_59,multiply(X_60,X_61)) = multiply(add(X_59,X_60),add(X_61,X_59)),
inference(subst,[],[refute_0_491:[bind(X_10,$fot(X_59)),bind(X_11,$fot(X_60)),bind(X_12,$fot(X_61))]]) ).
cnf(refute_0_1078,plain,
( add(X_59,multiply(X_60,X_61)) != multiply(add(X_59,X_60),add(X_61,X_59))
| multiply(add(X_59,X_60),add(X_61,X_59)) = add(X_59,multiply(X_60,X_61)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_59,multiply(X_60,X_61)))),bind(Y0,$fot(multiply(add(X_59,X_60),add(X_61,X_59))))]]) ).
cnf(refute_0_1079,plain,
multiply(add(X_59,X_60),add(X_61,X_59)) = add(X_59,multiply(X_60,X_61)),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,X_61)),multiply(add(X_59,X_60),add(X_61,X_59))) )],[refute_0_1077,refute_0_1078]) ).
cnf(refute_0_1080,plain,
( multiply(add(X_59,X_60),add(X_61,X_59)) != add(X_59,multiply(X_60,X_61))
| add(add(X_61,X_59),multiply(add(X_59,X_60),add(X_61,X_59))) != add(X_61,X_59)
| add(add(X_61,X_59),add(X_59,multiply(X_60,X_61))) = add(X_61,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_61,X_59),multiply(add(X_59,X_60),add(X_61,X_59))),add(X_61,X_59)) ),[0,1],$fot(add(X_59,multiply(X_60,X_61)))]]) ).
cnf(refute_0_1081,plain,
( add(add(X_61,X_59),multiply(add(X_59,X_60),add(X_61,X_59))) != add(X_61,X_59)
| add(add(X_61,X_59),add(X_59,multiply(X_60,X_61))) = add(X_61,X_59) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_61,X_59)),add(X_59,multiply(X_60,X_61))) )],[refute_0_1079,refute_0_1080]) ).
cnf(refute_0_1082,plain,
add(add(X_61,X_59),add(X_59,multiply(X_60,X_61))) = add(X_61,X_59),
inference(resolve,[$cnf( $equal(add(add(X_61,X_59),multiply(add(X_59,X_60),add(X_61,X_59))),add(X_61,X_59)) )],[refute_0_1076,refute_0_1081]) ).
cnf(refute_0_1083,plain,
add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))) = add(X_206,X_204),
inference(subst,[],[refute_0_1082:[bind(X_59,$fot(X_204)),bind(X_60,$fot(X_205)),bind(X_61,$fot(X_206))]]) ).
cnf(refute_0_1084,plain,
( multiply(add(X_204,multiply(X_205,X_206)),inverse(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))))) != additive_identity
| add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))) != add(X_206,X_204)
| multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))))),additive_identity) ),[0,1,0],$fot(add(X_206,X_204))]]) ).
cnf(refute_0_1085,plain,
( multiply(add(X_204,multiply(X_205,X_206)),inverse(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))))) != additive_identity
| multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))),add(X_206,X_204)) )],[refute_0_1083,refute_0_1084]) ).
cnf(refute_0_1086,plain,
multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(add(X_206,X_204),add(X_204,multiply(X_205,X_206))))),additive_identity) )],[refute_0_1075,refute_0_1085]) ).
cnf(refute_0_1087,plain,
add(multiply(Y,X_63),multiply(X_63,X_64)) = multiply(add(X_63,multiply(Y,X_63)),add(multiply(Y,X_63),X_64)),
inference(subst,[],[refute_0_145:[bind(X_10,$fot(multiply(Y,X_63))),bind(X_11,$fot(X_63)),bind(X_12,$fot(X_64))]]) ).
cnf(refute_0_1088,plain,
add(X_63,multiply(Y,X_63)) = X_63,
inference(subst,[],[refute_0_128:[bind(Z,$fot(X_63))]]) ).
cnf(refute_0_1089,plain,
( add(X_63,multiply(Y,X_63)) != X_63
| add(multiply(Y,X_63),multiply(X_63,X_64)) != multiply(add(X_63,multiply(Y,X_63)),add(multiply(Y,X_63),X_64))
| add(multiply(Y,X_63),multiply(X_63,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,X_63),multiply(X_63,X_64)),multiply(add(X_63,multiply(Y,X_63)),add(multiply(Y,X_63),X_64))) ),[1,0],$fot(X_63)]]) ).
cnf(refute_0_1090,plain,
( add(multiply(Y,X_63),multiply(X_63,X_64)) != multiply(add(X_63,multiply(Y,X_63)),add(multiply(Y,X_63),X_64))
| add(multiply(Y,X_63),multiply(X_63,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)) ),
inference(resolve,[$cnf( $equal(add(X_63,multiply(Y,X_63)),X_63) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
add(multiply(Y,X_63),multiply(X_63,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_63),multiply(X_63,X_64)),multiply(add(X_63,multiply(Y,X_63)),add(multiply(Y,X_63),X_64))) )],[refute_0_1087,refute_0_1090]) ).
cnf(refute_0_1092,plain,
add(multiply(Y,X_63),multiply(X_63,X_64)) = multiply(X_63,add(Y,X_64)),
inference(subst,[],[refute_0_699:[bind(X_39,$fot(X_63)),bind(X_40,$fot(Y)),bind(X_41,$fot(X_64))]]) ).
cnf(refute_0_1093,plain,
( add(multiply(Y,X_63),multiply(X_63,X_64)) != multiply(X_63,add(Y,X_64))
| add(multiply(Y,X_63),multiply(X_63,X_64)) != multiply(X_63,add(multiply(Y,X_63),X_64))
| multiply(X_63,add(Y,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,X_63),multiply(X_63,X_64)),multiply(X_63,add(multiply(Y,X_63),X_64))) ),[0],$fot(multiply(X_63,add(Y,X_64)))]]) ).
cnf(refute_0_1094,plain,
( add(multiply(Y,X_63),multiply(X_63,X_64)) != multiply(X_63,add(multiply(Y,X_63),X_64))
| multiply(X_63,add(Y,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_63),multiply(X_63,X_64)),multiply(X_63,add(Y,X_64))) )],[refute_0_1092,refute_0_1093]) ).
cnf(refute_0_1095,plain,
multiply(X_63,add(Y,X_64)) = multiply(X_63,add(multiply(Y,X_63),X_64)),
inference(resolve,[$cnf( $equal(add(multiply(Y,X_63),multiply(X_63,X_64)),multiply(X_63,add(multiply(Y,X_63),X_64))) )],[refute_0_1091,refute_0_1094]) ).
cnf(refute_0_1096,plain,
multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),add(multiply(Y,inverse(add(X_203,Y))),X_64)),
inference(subst,[],[refute_0_1095:[bind(X_63,$fot(inverse(add(X_203,Y))))]]) ).
cnf(refute_0_1097,plain,
multiply(Y,inverse(add(X_203,Y))) = additive_identity,
inference(subst,[],[refute_0_1074:[bind(X_190,$fot(Y)),bind(X_191,$fot(X_203))]]) ).
cnf(refute_0_1098,plain,
( multiply(Y,inverse(add(X_203,Y))) != additive_identity
| multiply(inverse(add(X_203,Y)),add(Y,X_64)) != multiply(inverse(add(X_203,Y)),add(multiply(Y,inverse(add(X_203,Y))),X_64))
| multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(Y,X_64)),multiply(inverse(add(X_203,Y)),add(multiply(Y,inverse(add(X_203,Y))),X_64))) ),[1,1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1099,plain,
( multiply(inverse(add(X_203,Y)),add(Y,X_64)) != multiply(inverse(add(X_203,Y)),add(multiply(Y,inverse(add(X_203,Y))),X_64))
| multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(add(X_203,Y))),additive_identity) )],[refute_0_1097,refute_0_1098]) ).
cnf(refute_0_1100,plain,
multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(Y,X_64)),multiply(inverse(add(X_203,Y)),add(multiply(Y,inverse(add(X_203,Y))),X_64))) )],[refute_0_1096,refute_0_1099]) ).
cnf(refute_0_1101,plain,
add(additive_identity,X_64) = X_64,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_64))]]) ).
cnf(refute_0_1102,plain,
multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) = multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)),
introduced(tautology,[refl,[$fot(multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)))]]) ).
cnf(refute_0_1103,plain,
( multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) != multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))
| add(additive_identity,X_64) != X_64
| multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) = multiply(inverse(add(X_203,Y)),X_64) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)),multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_1104,plain,
( add(additive_identity,X_64) != X_64
| multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) = multiply(inverse(add(X_203,Y)),X_64) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)),multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))) )],[refute_0_1102,refute_0_1103]) ).
cnf(refute_0_1105,plain,
multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) = multiply(inverse(add(X_203,Y)),X_64),
inference(resolve,[$cnf( $equal(add(additive_identity,X_64),X_64) )],[refute_0_1101,refute_0_1104]) ).
cnf(refute_0_1106,plain,
( multiply(inverse(add(X_203,Y)),add(Y,X_64)) != multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))
| multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)) != multiply(inverse(add(X_203,Y)),X_64)
| multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(add(X_203,Y)),add(Y,X_64)),multiply(inverse(add(X_203,Y)),X_64)) ),[0],$fot(multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)))]]) ).
cnf(refute_0_1107,plain,
( multiply(inverse(add(X_203,Y)),add(Y,X_64)) != multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))
| multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),X_64) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(additive_identity,X_64)),multiply(inverse(add(X_203,Y)),X_64)) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
multiply(inverse(add(X_203,Y)),add(Y,X_64)) = multiply(inverse(add(X_203,Y)),X_64),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_203,Y)),add(Y,X_64)),multiply(inverse(add(X_203,Y)),add(additive_identity,X_64))) )],[refute_0_1100,refute_0_1107]) ).
cnf(refute_0_1109,plain,
multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))) = multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)),
inference(subst,[],[refute_0_1108:[bind(Y,$fot(X_204)),bind(X_203,$fot(X_206)),bind(X_64,$fot(multiply(X_205,X_206)))]]) ).
cnf(refute_0_1110,plain,
add(multiply(X,Z),multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z))))) = multiply(X,Z),
inference(subst,[],[refute_0_896:[bind(X_40,$fot(multiply(X,Z))),bind(X_63,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1111,plain,
( add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z))))) != multiply(X,Z)
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z))))),multiply(X,Z)) ),[0,1,1,0],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_1112,plain,
( add(multiply(X,Z),multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z))))) != multiply(X,Z)
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_193,refute_0_1111]) ).
cnf(refute_0_1113,plain,
add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(X,Z),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z))))),multiply(X,Z)) )],[refute_0_1110,refute_0_1112]) ).
cnf(refute_0_1114,plain,
add(additive_identity,multiply(Z,X)) = multiply(Z,X),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_1115,plain,
add(multiply(X,Z),additive_identity) = add(additive_identity,multiply(Z,X)),
inference(subst,[],[refute_0_978:[bind(X_10,$fot(additive_identity)),bind(X_115,$fot(X)),bind(X_116,$fot(Z))]]) ).
cnf(refute_0_1116,plain,
( add(multiply(X,Z),additive_identity) != add(additive_identity,multiply(Z,X))
| add(additive_identity,multiply(Z,X)) != multiply(Z,X)
| add(multiply(X,Z),additive_identity) = multiply(Z,X) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X,Z),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(Z,X)))),bind(Z0,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_1117,plain,
( add(additive_identity,multiply(Z,X)) != multiply(Z,X)
| add(multiply(X,Z),additive_identity) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),additive_identity),add(additive_identity,multiply(Z,X))) )],[refute_0_1115,refute_0_1116]) ).
cnf(refute_0_1118,plain,
add(multiply(X,Z),additive_identity) = multiply(Z,X),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Z,X)),multiply(Z,X)) )],[refute_0_1114,refute_0_1117]) ).
cnf(refute_0_1119,plain,
multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z)))) = additive_identity,
inference(subst,[],[refute_0_928:[bind(X_105,$fot(multiply(X,Y))),bind(X_22,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_1120,plain,
( multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z)))) != additive_identity
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z)))),additive_identity) ),[0,1,0],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_1121,plain,
( multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z)))) != additive_identity
| multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_193,refute_0_1120]) ).
cnf(refute_0_1122,plain,
multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(add(multiply(X,Y),multiply(X,Z)))),additive_identity) )],[refute_0_1119,refute_0_1121]) ).
cnf(refute_0_1123,plain,
add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),
introduced(tautology,[refl,[$fot(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))))]]) ).
cnf(refute_0_1124,plain,
( multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))) != additive_identity
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) != add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))))
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = add(multiply(X,Z),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1125,plain,
( multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))) != additive_identity
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = add(multiply(X,Z),additive_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))))) )],[refute_0_1123,refute_0_1124]) ).
cnf(refute_0_1126,plain,
add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = add(multiply(X,Z),additive_identity),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z)))),additive_identity) )],[refute_0_1122,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) != add(multiply(X,Z),additive_identity)
| add(multiply(X,Z),additive_identity) != multiply(Z,X)
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(Z,X) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))))),bind(Y0,$fot(add(multiply(X,Z),additive_identity))),bind(Z0,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_1128,plain,
( add(multiply(X,Z),additive_identity) != multiply(Z,X)
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),add(multiply(X,Z),additive_identity)) )],[refute_0_1126,refute_0_1127]) ).
cnf(refute_0_1129,plain,
add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) = multiply(Z,X),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),additive_identity),multiply(Z,X)) )],[refute_0_1118,refute_0_1128]) ).
cnf(refute_0_1130,plain,
( add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) != multiply(X,Z)
| add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) != multiply(Z,X)
| multiply(Z,X) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),multiply(X,Z)) ),[0],$fot(multiply(Z,X))]]) ).
cnf(refute_0_1131,plain,
( add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))) != multiply(X,Z)
| multiply(Z,X) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),multiply(Z,X)) )],[refute_0_1129,refute_0_1130]) ).
cnf(refute_0_1132,plain,
multiply(Z,X) = multiply(X,Z),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(multiply(X,Y),inverse(multiply(X,add(Y,Z))))),multiply(X,Z)) )],[refute_0_1113,refute_0_1131]) ).
cnf(refute_0_1133,plain,
( multiply(Z,X) != multiply(X,Z)
| multiply(X,Z) = multiply(Z,X) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(Z,X))),bind(Y0,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_1134,plain,
multiply(X,Z) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(Z,X),multiply(X,Z)) )],[refute_0_1132,refute_0_1133]) ).
cnf(refute_0_1135,plain,
multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))),
inference(subst,[],[refute_0_1134:[bind(X,$fot(add(X_204,multiply(X_205,X_206)))),bind(Z,$fot(inverse(add(X_206,X_204))))]]) ).
cnf(refute_0_1136,plain,
( multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) != multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206)))
| multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))) != multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))
| multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))))),bind(Y0,$fot(multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))))),bind(Z0,$fot(multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))))]]) ).
cnf(refute_0_1137,plain,
( multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))) != multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))
| multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))),multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) = multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_206,X_204)),add(X_204,multiply(X_205,X_206))),multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))) )],[refute_0_1109,refute_0_1137]) ).
cnf(refute_0_1139,plain,
( multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) != multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))
| multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) != additive_identity
| multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))),additive_identity) ),[0],$fot(multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)))]]) ).
cnf(refute_0_1140,plain,
( multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))) != additive_identity
| multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))),multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206))) )],[refute_0_1138,refute_0_1139]) ).
cnf(refute_0_1141,plain,
multiply(inverse(add(X_206,X_204)),multiply(X_205,X_206)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_204,multiply(X_205,X_206)),inverse(add(X_206,X_204))),additive_identity) )],[refute_0_1086,refute_0_1140]) ).
cnf(refute_0_1142,plain,
multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)) = additive_identity,
inference(subst,[],[refute_0_1141:[bind(X_204,$fot(X_207)),bind(X_205,$fot(X_208)),bind(X_206,$fot(X_209))]]) ).
cnf(refute_0_1143,plain,
( multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) != multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)))
| multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)) != additive_identity
| multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1144,plain,
( multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) != multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)))
| multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)),additive_identity) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity),
inference(resolve,[$cnf( $equal(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(inverse(add(X_209,X_207)),multiply(X_208,X_209)))) )],[refute_0_1007,refute_0_1144]) ).
cnf(refute_0_1146,plain,
multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))))]]) ).
cnf(refute_0_1147,plain,
multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) = multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))),
inference(subst,[],[refute_0_1134:[bind(X,$fot(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))))),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_1148,plain,
( multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) != multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))))
| multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))) != additive_identity
| multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) = additive_identity ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity))),bind(Y0,$fot(multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1149,plain,
( multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))) != additive_identity
| multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity),multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))))) )],[refute_0_1147,refute_0_1148]) ).
cnf(refute_0_1150,plain,
multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(multiply(X_208,X_209),inverse(add(X_209,X_207)))),additive_identity) )],[refute_0_1146,refute_0_1149]) ).
cnf(refute_0_1151,plain,
( multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) != multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity)
| multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) != additive_identity
| multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity) ),[0],$fot(multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity))]]) ).
cnf(refute_0_1152,plain,
( multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) != multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity)
| multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity),additive_identity) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),multiply(multiply(multiply(X_208,X_209),inverse(add(X_209,X_207))),additive_identity)) )],[refute_0_1145,refute_0_1152]) ).
cnf(refute_0_1154,plain,
multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))) = additive_identity,
inference(subst,[],[refute_0_1153:[bind(X_207,$fot(X_380)),bind(X_208,$fot(X_381)),bind(X_209,$fot(X_382))]]) ).
cnf(refute_0_1155,plain,
( multiply(multiply(X_381,X_382),add(Y,multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))))) != multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))
| multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))) != additive_identity
| multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))))),multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))) ),[0,1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1156,plain,
( multiply(multiply(X_381,X_382),add(Y,multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))))) != multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))
| multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))),additive_identity) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,multiply(multiply(X_381,X_382),inverse(add(X_382,X_380))))),multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))) )],[refute_0_1006,refute_0_1156]) ).
cnf(refute_0_1158,plain,
multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),add(Y,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_381,X_382),add(Y,additive_identity)))]]) ).
cnf(refute_0_1159,plain,
( multiply(multiply(X_381,X_382),add(Y,additive_identity)) != multiply(multiply(X_381,X_382),add(Y,additive_identity))
| add(Y,additive_identity) != Y
| multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,additive_identity)),multiply(multiply(X_381,X_382),add(Y,additive_identity))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_1160,plain,
( add(Y,additive_identity) != Y
| multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,additive_identity)),multiply(multiply(X_381,X_382),add(Y,additive_identity))) )],[refute_0_1158,refute_0_1159]) ).
cnf(refute_0_1161,plain,
multiply(multiply(X_381,X_382),add(Y,additive_identity)) = multiply(multiply(X_381,X_382),Y),
inference(resolve,[$cnf( $equal(add(Y,additive_identity),Y) )],[refute_0_686,refute_0_1160]) ).
cnf(refute_0_1162,plain,
( multiply(multiply(X_381,X_382),add(Y,additive_identity)) != multiply(multiply(X_381,X_382),Y)
| multiply(multiply(X_381,X_382),add(Y,additive_identity)) != multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))
| multiply(multiply(X_381,X_382),Y) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,additive_identity)),multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))) ),[0],$fot(multiply(multiply(X_381,X_382),Y))]]) ).
cnf(refute_0_1163,plain,
( multiply(multiply(X_381,X_382),add(Y,additive_identity)) != multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))
| multiply(multiply(X_381,X_382),Y) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,additive_identity)),multiply(multiply(X_381,X_382),Y)) )],[refute_0_1161,refute_0_1162]) ).
cnf(refute_0_1164,plain,
multiply(multiply(X_381,X_382),Y) = multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),add(Y,additive_identity)),multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))) )],[refute_0_1157,refute_0_1163]) ).
cnf(refute_0_1165,plain,
( multiply(multiply(X_381,X_382),Y) != multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))
| multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) = multiply(multiply(X_381,X_382),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(multiply(X_381,X_382),Y))),bind(Y0,$fot(multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))))]]) ).
cnf(refute_0_1166,plain,
multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380)))) = multiply(multiply(X_381,X_382),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_381,X_382),Y),multiply(multiply(X_381,X_382),add(Y,inverse(add(X_382,X_380))))) )],[refute_0_1164,refute_0_1165]) ).
cnf(refute_0_1167,plain,
multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) = multiply(multiply(X_198,X_199),Y),
inference(subst,[],[refute_0_1166:[bind(X_380,$fot(inverse(X_198))),bind(X_381,$fot(X_198)),bind(X_382,$fot(X_199))]]) ).
cnf(refute_0_1168,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != multiply(Y,multiply(X_198,X_199))
| multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != multiply(multiply(X_198,X_199),Y)
| multiply(multiply(X_198,X_199),Y) = multiply(Y,multiply(X_198,X_199)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),multiply(Y,multiply(X_198,X_199))) ),[0],$fot(multiply(multiply(X_198,X_199),Y))]]) ).
cnf(refute_0_1169,plain,
( multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))) != multiply(Y,multiply(X_198,X_199))
| multiply(multiply(X_198,X_199),Y) = multiply(Y,multiply(X_198,X_199)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),multiply(multiply(X_198,X_199),Y)) )],[refute_0_1167,refute_0_1168]) ).
cnf(refute_0_1170,plain,
multiply(multiply(X_198,X_199),Y) = multiply(Y,multiply(X_198,X_199)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),add(Y,inverse(add(X_199,inverse(X_198))))),multiply(Y,multiply(X_198,X_199))) )],[refute_0_985,refute_0_1169]) ).
cnf(refute_0_1171,plain,
( multiply(multiply(X_198,X_199),Y) != multiply(Y,multiply(X_198,X_199))
| multiply(Y,multiply(X_198,X_199)) = multiply(multiply(X_198,X_199),Y) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(multiply(X_198,X_199),Y))),bind(Y0,$fot(multiply(Y,multiply(X_198,X_199))))]]) ).
cnf(refute_0_1172,plain,
multiply(Y,multiply(X_198,X_199)) = multiply(multiply(X_198,X_199),Y),
inference(resolve,[$cnf( $equal(multiply(multiply(X_198,X_199),Y),multiply(Y,multiply(X_198,X_199))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) = multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))),
inference(subst,[],[refute_0_1172:[bind(Y,$fot(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)))),bind(X_198,$fot(X_395)),bind(X_199,$fot(X_396))]]) ).
cnf(refute_0_1174,plain,
( multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) != multiply(X_395,X_396)
| multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) != multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)))
| multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) = multiply(X_395,X_396) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)))),bind(Y0,$fot(multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))))),bind(Z0,$fot(multiply(X_395,X_396)))]]) ).
cnf(refute_0_1175,plain,
( multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))) != multiply(X_395,X_396)
| multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) = multiply(X_395,X_396) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)),multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)))) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) = multiply(X_395,X_396),
inference(resolve,[$cnf( $equal(multiply(multiply(X_395,X_396),multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396))),multiply(X_395,X_396)) )],[refute_0_877,refute_0_1175]) ).
cnf(refute_0_1177,plain,
( multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) != multiply(X_395,X_396)
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396))
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_395,X_396) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396))) ),[1],$fot(multiply(X_395,X_396))]]) ).
cnf(refute_0_1178,plain,
( multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396))
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_395,X_396) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)),multiply(X_395,X_396)) )],[refute_0_1176,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_395,X_396),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396))) )],[refute_0_873,refute_0_1178]) ).
cnf(refute_0_1180,plain,
multiply(X_39,add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237))) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),
inference(subst,[],[refute_0_110:[bind(X_41,$fot(multiply(add(inverse(inverse(X_39)),X_238),X_237)))]]) ).
cnf(refute_0_1181,plain,
add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = multiply(add(X_10,add(inverse(X_10),X_76)),add(X_12,X_10)),
inference(subst,[],[refute_0_491:[bind(X_11,$fot(add(inverse(X_10),X_76)))]]) ).
cnf(refute_0_1182,plain,
add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))) = add(X_10,add(inverse(X_10),X_22)),
inference(subst,[],[refute_0_86:[bind(X_12,$fot(add(inverse(X_10),X_22)))]]) ).
cnf(refute_0_1183,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = multiply(inverse(X_10),add(inverse(X_10),X_22)),
inference(subst,[],[refute_0_164:[bind(X_10,$fot(inverse(X_10))),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_1184,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_22:[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_1185,plain,
multiply(inverse(X_10),add(inverse(X_10),X_22)) = add(inverse(X_10),multiply(X_22,additive_identity)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),multiply(inverse(X_10),add(inverse(X_10),X_22))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
( multiply(inverse(X_10),add(inverse(X_10),X_22)) != add(inverse(X_10),multiply(X_22,additive_identity))
| add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))) != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),X_22)) ),
introduced(tautology,[equality,[$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_1187,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( $equal(multiply(inverse(X_10),add(inverse(X_10),X_22)),add(inverse(X_10),multiply(X_22,additive_identity))) )],[refute_0_1185,refute_0_1186]) ).
cnf(refute_0_1188,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),X_22)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(inverse(X_10),X_22))),add(X_10,add(inverse(X_10),X_22))) )],[refute_0_1182,refute_0_1187]) ).
cnf(refute_0_1189,plain,
add(inverse(X_10),additive_identity) = inverse(X_10),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1190,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),multiply(X_22,additive_identity)),
introduced(tautology,[refl,[$fot(add(inverse(X_10),multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_1191,plain,
( multiply(X_22,additive_identity) != additive_identity
| add(inverse(X_10),multiply(X_22,additive_identity)) != add(inverse(X_10),multiply(X_22,additive_identity))
| add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),additive_identity) ),
introduced(tautology,[equality,[$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_1192,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( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),add(inverse(X_10),multiply(X_22,additive_identity))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = add(inverse(X_10),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_22,additive_identity),additive_identity) )],[refute_0_433,refute_0_1192]) ).
cnf(refute_0_1194,plain,
( add(inverse(X_10),multiply(X_22,additive_identity)) != add(inverse(X_10),additive_identity)
| add(inverse(X_10),additive_identity) != inverse(X_10)
| add(inverse(X_10),multiply(X_22,additive_identity)) = inverse(X_10) ),
inference(subst,[],[refute_0_54:[bind(X0,$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_1195,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( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),add(inverse(X_10),additive_identity)) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
add(inverse(X_10),multiply(X_22,additive_identity)) = inverse(X_10),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),inverse(X_10)) )],[refute_0_1189,refute_0_1195]) ).
cnf(refute_0_1197,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),
introduced(tautology,[refl,[$fot(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))))]]) ).
cnf(refute_0_1198,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_1199,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( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),multiply(X_22,additive_identity)))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = add(X_10,inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_22,additive_identity)),inverse(X_10)) )],[refute_0_1196,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,inverse(X_10))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = multiplicative_identity ),
inference(subst,[],[refute_0_54:[bind(X0,$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_1202,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( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,inverse(X_10))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_2,refute_0_1202]) ).
cnf(refute_0_1204,plain,
( add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))) != multiplicative_identity
| multiplicative_identity = add(X_10,add(inverse(X_10),X_22)) ),
introduced(tautology,[equality,[$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_1205,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( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),multiplicative_identity) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
multiplicative_identity = add(X_10,add(inverse(X_10),X_22)),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_22,additive_identity))),add(X_10,add(inverse(X_10),X_22))) )],[refute_0_1188,refute_0_1205]) ).
cnf(refute_0_1207,plain,
multiplicative_identity = add(X_10,add(inverse(X_10),X_76)),
inference(subst,[],[refute_0_1206:[bind(X_22,$fot(X_76))]]) ).
cnf(refute_0_1208,plain,
( multiplicative_identity != add(X_10,add(inverse(X_10),X_76))
| add(X_10,add(inverse(X_10),X_76)) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,add(inverse(X_10),X_76))))]]) ).
cnf(refute_0_1209,plain,
add(X_10,add(inverse(X_10),X_76)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,add(inverse(X_10),X_76))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
( add(X_10,multiply(add(inverse(X_10),X_76),X_12)) != multiply(add(X_10,add(inverse(X_10),X_76)),add(X_12,X_10))
| add(X_10,add(inverse(X_10),X_76)) != multiplicative_identity
| add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),X_12)),multiply(add(X_10,add(inverse(X_10),X_76)),add(X_12,X_10))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1211,plain,
( add(X_10,multiply(add(inverse(X_10),X_76),X_12)) != multiply(add(X_10,add(inverse(X_10),X_76)),add(X_12,X_10))
| add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),X_76)),multiplicative_identity) )],[refute_0_1209,refute_0_1210]) ).
cnf(refute_0_1212,plain,
add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = multiply(multiplicative_identity,add(X_12,X_10)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),X_12)),multiply(add(X_10,add(inverse(X_10),X_76)),add(X_12,X_10))) )],[refute_0_1181,refute_0_1211]) ).
cnf(refute_0_1213,plain,
multiply(multiplicative_identity,add(X_12,X_10)) = add(X_12,X_10),
inference(subst,[],[refute_0_37:[bind(X,$fot(add(X_12,X_10)))]]) ).
cnf(refute_0_1214,plain,
( multiply(multiplicative_identity,add(X_12,X_10)) != add(X_12,X_10)
| add(X_10,multiply(add(inverse(X_10),X_76),X_12)) != multiply(multiplicative_identity,add(X_12,X_10))
| add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = add(X_12,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),X_12)),multiply(multiplicative_identity,add(X_12,X_10))) ),[1],$fot(add(X_12,X_10))]]) ).
cnf(refute_0_1215,plain,
( add(X_10,multiply(add(inverse(X_10),X_76),X_12)) != multiply(multiplicative_identity,add(X_12,X_10))
| add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = add(X_12,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_12,X_10)),add(X_12,X_10)) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
add(X_10,multiply(add(inverse(X_10),X_76),X_12)) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),X_12)),multiply(multiplicative_identity,add(X_12,X_10))) )],[refute_0_1212,refute_0_1215]) ).
cnf(refute_0_1217,plain,
add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237)) = add(X_237,inverse(X_39)),
inference(subst,[],[refute_0_1216:[bind(X_10,$fot(inverse(X_39))),bind(X_12,$fot(X_237)),bind(X_76,$fot(X_238))]]) ).
cnf(refute_0_1218,plain,
( multiply(X_39,add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237))) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237)) != add(X_237,inverse(X_39))
| multiply(X_39,add(X_237,inverse(X_39))) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237))),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) ),[0,1],$fot(add(X_237,inverse(X_39)))]]) ).
cnf(refute_0_1219,plain,
( multiply(X_39,add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237))) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,add(X_237,inverse(X_39))) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237)),add(X_237,inverse(X_39))) )],[refute_0_1217,refute_0_1218]) ).
cnf(refute_0_1220,plain,
multiply(X_39,add(X_237,inverse(X_39))) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(add(inverse(inverse(X_39)),X_238),X_237))),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) )],[refute_0_1180,refute_0_1219]) ).
cnf(refute_0_1221,plain,
multiply(X_39,add(X_237,inverse(X_39))) = multiply(X_39,X_237),
inference(subst,[],[refute_0_549:[bind(X_40,$fot(X_237))]]) ).
cnf(refute_0_1222,plain,
( multiply(X_39,add(X_237,inverse(X_39))) != multiply(X_39,X_237)
| multiply(X_39,add(X_237,inverse(X_39))) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,X_237) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(X_237,inverse(X_39))),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) ),[0],$fot(multiply(X_39,X_237))]]) ).
cnf(refute_0_1223,plain,
( multiply(X_39,add(X_237,inverse(X_39))) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,X_237) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_237,inverse(X_39))),multiply(X_39,X_237)) )],[refute_0_1221,refute_0_1222]) ).
cnf(refute_0_1224,plain,
inverse(inverse(X_39)) = X_39,
inference(subst,[],[refute_0_566:[bind(X_64,$fot(X_39))]]) ).
cnf(refute_0_1225,plain,
add(inverse(inverse(X_39)),X_238) = add(inverse(inverse(X_39)),X_238),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_39)),X_238))]]) ).
cnf(refute_0_1226,plain,
( add(inverse(inverse(X_39)),X_238) != add(inverse(inverse(X_39)),X_238)
| inverse(inverse(X_39)) != X_39
| add(inverse(inverse(X_39)),X_238) = add(X_39,X_238) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_39)),X_238),add(inverse(inverse(X_39)),X_238)) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_1227,plain,
( inverse(inverse(X_39)) != X_39
| add(inverse(inverse(X_39)),X_238) = add(X_39,X_238) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_39)),X_238),add(inverse(inverse(X_39)),X_238)) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
add(inverse(inverse(X_39)),X_238) = add(X_39,X_238),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_1224,refute_0_1227]) ).
cnf(refute_0_1229,plain,
multiply(add(inverse(inverse(X_39)),X_238),X_237) = multiply(add(inverse(inverse(X_39)),X_238),X_237),
introduced(tautology,[refl,[$fot(multiply(add(inverse(inverse(X_39)),X_238),X_237))]]) ).
cnf(refute_0_1230,plain,
( multiply(add(inverse(inverse(X_39)),X_238),X_237) != multiply(add(inverse(inverse(X_39)),X_238),X_237)
| add(inverse(inverse(X_39)),X_238) != add(X_39,X_238)
| multiply(add(inverse(inverse(X_39)),X_238),X_237) = multiply(add(X_39,X_238),X_237) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(inverse(X_39)),X_238),X_237),multiply(add(inverse(inverse(X_39)),X_238),X_237)) ),[1,0],$fot(add(X_39,X_238))]]) ).
cnf(refute_0_1231,plain,
( add(inverse(inverse(X_39)),X_238) != add(X_39,X_238)
| multiply(add(inverse(inverse(X_39)),X_238),X_237) = multiply(add(X_39,X_238),X_237) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(inverse(X_39)),X_238),X_237),multiply(add(inverse(inverse(X_39)),X_238),X_237)) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
multiply(add(inverse(inverse(X_39)),X_238),X_237) = multiply(add(X_39,X_238),X_237),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_39)),X_238),add(X_39,X_238)) )],[refute_0_1228,refute_0_1231]) ).
cnf(refute_0_1233,plain,
multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) = multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),
introduced(tautology,[refl,[$fot(multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)))]]) ).
cnf(refute_0_1234,plain,
( multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(add(inverse(inverse(X_39)),X_238),X_237) != multiply(add(X_39,X_238),X_237)
| multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) = multiply(X_39,multiply(add(X_39,X_238),X_237)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) ),[1,1],$fot(multiply(add(X_39,X_238),X_237))]]) ).
cnf(refute_0_1235,plain,
( multiply(add(inverse(inverse(X_39)),X_238),X_237) != multiply(add(X_39,X_238),X_237)
| multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) = multiply(X_39,multiply(add(X_39,X_238),X_237)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) = multiply(X_39,multiply(add(X_39,X_238),X_237)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(inverse(X_39)),X_238),X_237),multiply(add(X_39,X_238),X_237)) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( multiply(X_39,X_237) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)) != multiply(X_39,multiply(add(X_39,X_238),X_237))
| multiply(X_39,X_237) = multiply(X_39,multiply(add(X_39,X_238),X_237)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,X_237),multiply(X_39,multiply(add(X_39,X_238),X_237))) ),[0],$fot(multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)))]]) ).
cnf(refute_0_1238,plain,
( multiply(X_39,X_237) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,X_237) = multiply(X_39,multiply(add(X_39,X_238),X_237)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237)),multiply(X_39,multiply(add(X_39,X_238),X_237))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
( multiply(X_39,add(X_237,inverse(X_39))) != multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))
| multiply(X_39,X_237) = multiply(X_39,multiply(add(X_39,X_238),X_237)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,X_237),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) )],[refute_0_1223,refute_0_1238]) ).
cnf(refute_0_1240,plain,
multiply(X_39,X_237) = multiply(X_39,multiply(add(X_39,X_238),X_237)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_237,inverse(X_39))),multiply(X_39,multiply(add(inverse(inverse(X_39)),X_238),X_237))) )],[refute_0_1220,refute_0_1239]) ).
cnf(refute_0_1241,plain,
multiply(X_263,X_261) = multiply(X_263,multiply(add(X_263,inverse(multiply(inverse(X_263),X_94))),X_261)),
inference(subst,[],[refute_0_1240:[bind(X_237,$fot(X_261)),bind(X_238,$fot(inverse(multiply(inverse(X_263),X_94)))),bind(X_39,$fot(X_263))]]) ).
cnf(refute_0_1242,plain,
add(X_263,inverse(multiply(inverse(X_263),X_94))) = inverse(multiply(inverse(X_263),X_94)),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_263))]]) ).
cnf(refute_0_1243,plain,
( multiply(X_263,X_261) != multiply(X_263,multiply(add(X_263,inverse(multiply(inverse(X_263),X_94))),X_261))
| add(X_263,inverse(multiply(inverse(X_263),X_94))) != inverse(multiply(inverse(X_263),X_94))
| multiply(X_263,X_261) = multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_263,X_261),multiply(X_263,multiply(add(X_263,inverse(multiply(inverse(X_263),X_94))),X_261))) ),[1,1,0],$fot(inverse(multiply(inverse(X_263),X_94)))]]) ).
cnf(refute_0_1244,plain,
( multiply(X_263,X_261) != multiply(X_263,multiply(add(X_263,inverse(multiply(inverse(X_263),X_94))),X_261))
| multiply(X_263,X_261) = multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261)) ),
inference(resolve,[$cnf( $equal(add(X_263,inverse(multiply(inverse(X_263),X_94))),inverse(multiply(inverse(X_263),X_94))) )],[refute_0_1242,refute_0_1243]) ).
cnf(refute_0_1245,plain,
multiply(X_263,X_261) = multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261)),
inference(resolve,[$cnf( $equal(multiply(X_263,X_261),multiply(X_263,multiply(add(X_263,inverse(multiply(inverse(X_263),X_94))),X_261))) )],[refute_0_1241,refute_0_1244]) ).
cnf(refute_0_1246,plain,
( multiply(X_263,X_261) != multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261))
| multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261)) = multiply(X_263,X_261) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_263,X_261))),bind(Y0,$fot(multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261))))]]) ).
cnf(refute_0_1247,plain,
multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261)) = multiply(X_263,X_261),
inference(resolve,[$cnf( $equal(multiply(X_263,X_261),multiply(X_263,multiply(inverse(multiply(inverse(X_263),X_94)),X_261))) )],[refute_0_1245,refute_0_1246]) ).
cnf(refute_0_1248,plain,
multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)) = multiply(X_396,X_395),
inference(subst,[],[refute_0_1247:[bind(X_261,$fot(X_395)),bind(X_263,$fot(X_396)),bind(X_94,$fot(X_397))]]) ).
cnf(refute_0_1249,plain,
multiply(X_113,X_112) = multiply(multiply(X_113,X_112),add(multiply(X_112,Y),multiply(X_112,X_113))),
inference(subst,[],[refute_0_621:[bind(X_105,$fot(X_112)),bind(X_106,$fot(X_113)),bind(X_22,$fot(multiply(X_112,Y)))]]) ).
cnf(refute_0_1250,plain,
multiply(X_112,add(Y,X_113)) = add(multiply(X_112,Y),multiply(X_112,X_113)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_112)),bind(Z,$fot(X_113))]]) ).
cnf(refute_0_1251,plain,
( multiply(X_112,add(Y,X_113)) != add(multiply(X_112,Y),multiply(X_112,X_113))
| add(multiply(X_112,Y),multiply(X_112,X_113)) = multiply(X_112,add(Y,X_113)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_112,add(Y,X_113)))),bind(Y0,$fot(add(multiply(X_112,Y),multiply(X_112,X_113))))]]) ).
cnf(refute_0_1252,plain,
add(multiply(X_112,Y),multiply(X_112,X_113)) = multiply(X_112,add(Y,X_113)),
inference(resolve,[$cnf( $equal(multiply(X_112,add(Y,X_113)),add(multiply(X_112,Y),multiply(X_112,X_113))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
( multiply(X_113,X_112) != multiply(multiply(X_113,X_112),add(multiply(X_112,Y),multiply(X_112,X_113)))
| add(multiply(X_112,Y),multiply(X_112,X_113)) != multiply(X_112,add(Y,X_113))
| multiply(X_113,X_112) = multiply(multiply(X_113,X_112),multiply(X_112,add(Y,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_113,X_112),multiply(multiply(X_113,X_112),add(multiply(X_112,Y),multiply(X_112,X_113)))) ),[1,1],$fot(multiply(X_112,add(Y,X_113)))]]) ).
cnf(refute_0_1254,plain,
( multiply(X_113,X_112) != multiply(multiply(X_113,X_112),add(multiply(X_112,Y),multiply(X_112,X_113)))
| multiply(X_113,X_112) = multiply(multiply(X_113,X_112),multiply(X_112,add(Y,X_113))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_112,Y),multiply(X_112,X_113)),multiply(X_112,add(Y,X_113))) )],[refute_0_1252,refute_0_1253]) ).
cnf(refute_0_1255,plain,
multiply(X_113,X_112) = multiply(multiply(X_113,X_112),multiply(X_112,add(Y,X_113))),
inference(resolve,[$cnf( $equal(multiply(X_113,X_112),multiply(multiply(X_113,X_112),add(multiply(X_112,Y),multiply(X_112,X_113)))) )],[refute_0_1249,refute_0_1254]) ).
cnf(refute_0_1256,plain,
multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,multiply(X_11,inverse(X_187))))),
inference(subst,[],[refute_0_1255:[bind(Y,$fot(X_187)),bind(X_112,$fot(X_188)),bind(X_113,$fot(multiply(X_11,inverse(X_187))))]]) ).
cnf(refute_0_1257,plain,
add(X_187,multiply(X_11,inverse(X_187))) = add(X_187,X_11),
inference(subst,[],[refute_0_9:[bind(X_10,$fot(X_187))]]) ).
cnf(refute_0_1258,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,multiply(X_11,inverse(X_187)))))
| add(X_187,multiply(X_11,inverse(X_187))) != add(X_187,X_11)
| multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,multiply(X_11,inverse(X_187)))))) ),[1,1,1],$fot(add(X_187,X_11))]]) ).
cnf(refute_0_1259,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,multiply(X_11,inverse(X_187)))))
| multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))) ),
inference(resolve,[$cnf( $equal(add(X_187,multiply(X_11,inverse(X_187))),add(X_187,X_11)) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,multiply(X_11,inverse(X_187)))))) )],[refute_0_1256,refute_0_1259]) ).
cnf(refute_0_1261,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(X_12,multiply(X_156,inverse(add(X_156,X_12))))),
inference(subst,[],[refute_0_491:[bind(X_10,$fot(multiply(X_156,inverse(add(X_156,X_12)))))]]) ).
cnf(refute_0_1262,plain,
add(X_12,multiply(X_156,inverse(add(X_156,X_12)))) = X_12,
inference(subst,[],[refute_0_896:[bind(X_40,$fot(X_12)),bind(X_63,$fot(X_156))]]) ).
cnf(refute_0_1263,plain,
( add(X_12,multiply(X_156,inverse(add(X_156,X_12)))) != X_12
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(X_12,multiply(X_156,inverse(add(X_156,X_12)))))
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(X_12,multiply(X_156,inverse(add(X_156,X_12)))))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_1264,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(X_12,multiply(X_156,inverse(add(X_156,X_12)))))
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12) ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_156,inverse(add(X_156,X_12)))),X_12) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(X_12,multiply(X_156,inverse(add(X_156,X_12)))))) )],[refute_0_1261,refute_0_1264]) ).
cnf(refute_0_1266,plain,
multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),
inference(subst,[],[refute_0_750:[bind(X_81,$fot(X_12)),bind(X_82,$fot(add(multiply(X_156,inverse(add(X_156,X_12))),X_11)))]]) ).
cnf(refute_0_1267,plain,
( multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12)
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12)) ),[1],$fot(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)))]]) ).
cnf(refute_0_1268,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12)
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) )],[refute_0_1266,refute_0_1267]) ).
cnf(refute_0_1269,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_12)) )],[refute_0_1265,refute_0_1268]) ).
cnf(refute_0_1270,plain,
add(additive_identity,multiply(X_11,X_12)) = multiply(X_11,X_12),
inference(subst,[],[refute_0_106:[bind(X,$fot(multiply(X_11,X_12)))]]) ).
cnf(refute_0_1271,plain,
multiply(X_156,inverse(add(X_156,X_12))) = additive_identity,
inference(subst,[],[refute_0_928:[bind(X_105,$fot(X_156)),bind(X_22,$fot(X_12))]]) ).
cnf(refute_0_1272,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),
introduced(tautology,[refl,[$fot(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)))]]) ).
cnf(refute_0_1273,plain,
( multiply(X_156,inverse(add(X_156,X_12))) != additive_identity
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12))
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = add(additive_identity,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1274,plain,
( multiply(X_156,inverse(add(X_156,X_12))) != additive_identity
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = add(additive_identity,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = add(additive_identity,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(X_156,inverse(add(X_156,X_12))),additive_identity) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != add(additive_identity,multiply(X_11,X_12))
| add(additive_identity,multiply(X_11,X_12)) != multiply(X_11,X_12)
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_11,X_12) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)))),bind(Y0,$fot(add(additive_identity,multiply(X_11,X_12)))),bind(Z0,$fot(multiply(X_11,X_12)))]]) ).
cnf(refute_0_1277,plain,
( add(additive_identity,multiply(X_11,X_12)) != multiply(X_11,X_12)
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_11,X_12) ),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),add(additive_identity,multiply(X_11,X_12))) )],[refute_0_1275,refute_0_1276]) ).
cnf(refute_0_1278,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) = multiply(X_11,X_12),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_11,X_12)),multiply(X_11,X_12)) )],[refute_0_1270,refute_0_1277]) ).
cnf(refute_0_1279,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(X_11,X_12)
| add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| multiply(X_11,X_12) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) ),[0],$fot(multiply(X_11,X_12))]]) ).
cnf(refute_0_1280,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| multiply(X_11,X_12) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(X_11,X_12)) )],[refute_0_1278,refute_0_1279]) ).
cnf(refute_0_1281,plain,
add(additive_identity,X_11) = X_11,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_1282,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = add(multiply(X_156,inverse(add(X_156,X_12))),X_11),
introduced(tautology,[refl,[$fot(add(multiply(X_156,inverse(add(X_156,X_12))),X_11))]]) ).
cnf(refute_0_1283,plain,
( multiply(X_156,inverse(add(X_156,X_12))) != additive_identity
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) != add(multiply(X_156,inverse(add(X_156,X_12))),X_11)
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = add(additive_identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1284,plain,
( multiply(X_156,inverse(add(X_156,X_12))) != additive_identity
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = add(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = add(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(X_156,inverse(add(X_156,X_12))),additive_identity) )],[refute_0_1271,refute_0_1284]) ).
cnf(refute_0_1286,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),X_11) != add(additive_identity,X_11)
| add(additive_identity,X_11) != X_11
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = X_11 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X_156,inverse(add(X_156,X_12))),X_11))),bind(Y0,$fot(add(additive_identity,X_11))),bind(Z0,$fot(X_11))]]) ).
cnf(refute_0_1287,plain,
( add(additive_identity,X_11) != X_11
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = X_11 ),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),add(additive_identity,X_11)) )],[refute_0_1285,refute_0_1286]) ).
cnf(refute_0_1288,plain,
add(multiply(X_156,inverse(add(X_156,X_12))),X_11) = X_11,
inference(resolve,[$cnf( $equal(add(additive_identity,X_11),X_11) )],[refute_0_1281,refute_0_1287]) ).
cnf(refute_0_1289,plain,
multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) = multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),
introduced(tautology,[refl,[$fot(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)))]]) ).
cnf(refute_0_1290,plain,
( multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| add(multiply(X_156,inverse(add(X_156,X_12))),X_11) != X_11
| multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) = multiply(X_12,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_1291,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),X_11) != X_11
| multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) = multiply(X_12,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) )],[refute_0_1289,refute_0_1290]) ).
cnf(refute_0_1292,plain,
multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) = multiply(X_12,X_11),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),X_11),X_11) )],[refute_0_1288,refute_0_1291]) ).
cnf(refute_0_1293,plain,
( multiply(X_11,X_12) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)) != multiply(X_12,X_11)
| multiply(X_11,X_12) = multiply(X_12,X_11) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,X_12),multiply(X_12,X_11)) ),[0],$fot(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)))]]) ).
cnf(refute_0_1294,plain,
( multiply(X_11,X_12) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| multiply(X_11,X_12) = multiply(X_12,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11)),multiply(X_12,X_11)) )],[refute_0_1292,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)) != multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))
| multiply(X_11,X_12) = multiply(X_12,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_11,X_12),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) )],[refute_0_1280,refute_0_1294]) ).
cnf(refute_0_1296,plain,
multiply(X_11,X_12) = multiply(X_12,X_11),
inference(resolve,[$cnf( $equal(add(multiply(X_156,inverse(add(X_156,X_12))),multiply(X_11,X_12)),multiply(X_12,add(multiply(X_156,inverse(add(X_156,X_12))),X_11))) )],[refute_0_1269,refute_0_1295]) ).
cnf(refute_0_1297,plain,
( multiply(X_11,X_12) != multiply(X_12,X_11)
| multiply(X_12,X_11) = multiply(X_11,X_12) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_11,X_12))),bind(Y0,$fot(multiply(X_12,X_11)))]]) ).
cnf(refute_0_1298,plain,
multiply(X_12,X_11) = multiply(X_11,X_12),
inference(resolve,[$cnf( $equal(multiply(X_11,X_12),multiply(X_12,X_11)) )],[refute_0_1296,refute_0_1297]) ).
cnf(refute_0_1299,plain,
multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)),
inference(subst,[],[refute_0_1298:[bind(X_11,$fot(multiply(X_188,add(X_187,X_11)))),bind(X_12,$fot(multiply(multiply(X_11,inverse(X_187)),X_188)))]]) ).
cnf(refute_0_1300,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11)))
| multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))) ),[0],$fot(multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))))]]) ).
cnf(refute_0_1301,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11)))
| multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11))),multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1299,refute_0_1300]) ).
cnf(refute_0_1302,plain,
multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_188,add(X_187,X_11)))) )],[refute_0_1260,refute_0_1301]) ).
cnf(refute_0_1303,plain,
multiply(X_39,add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),
inference(subst,[],[refute_0_110:[bind(X_41,$fot(multiply(multiply(inverse(inverse(X_39)),X_426),X_425)))]]) ).
cnf(refute_0_1304,plain,
add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = add(inverse(X_39),multiply(X_426,X_425)),
inference(subst,[],[refute_0_96:[bind(X,$fot(inverse(X_39))),bind(Z,$fot(X_425)),bind(X_19,$fot(X_426))]]) ).
cnf(refute_0_1305,plain,
( multiply(X_39,add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) != add(inverse(X_39),multiply(X_426,X_425))
| multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425))),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) ),[0,1],$fot(add(inverse(X_39),multiply(X_426,X_425)))]]) ).
cnf(refute_0_1306,plain,
( multiply(X_39,add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),add(inverse(X_39),multiply(X_426,X_425))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(multiply(inverse(inverse(X_39)),X_426),X_425))),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) )],[refute_0_1303,refute_0_1306]) ).
cnf(refute_0_1308,plain,
multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) = multiply(X_39,multiply(X_426,X_425)),
inference(subst,[],[refute_0_110:[bind(X_41,$fot(multiply(X_426,X_425)))]]) ).
cnf(refute_0_1309,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) != multiply(X_39,multiply(X_426,X_425))
| multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,multiply(X_426,X_425)) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) ),[0],$fot(multiply(X_39,multiply(X_426,X_425)))]]) ).
cnf(refute_0_1310,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,multiply(X_426,X_425)) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))),multiply(X_39,multiply(X_426,X_425))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
multiply(multiply(X_22,X_411),X_105) = multiply(multiply(multiply(X_22,X_411),X_105),add(X_22,multiply(X_105,multiply(X_22,X_411)))),
inference(subst,[],[refute_0_621:[bind(X_106,$fot(multiply(X_22,X_411)))]]) ).
cnf(refute_0_1312,plain,
add(X_10,multiply(X_11,multiply(X_10,X_80))) = multiply(add(X_11,X_10),add(X_10,multiply(X_10,X_80))),
inference(subst,[],[refute_0_145:[bind(X_12,$fot(multiply(X_10,X_80)))]]) ).
cnf(refute_0_1313,plain,
add(X_10,multiply(X_10,X_80)) = X_10,
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_10)),bind(Z,$fot(X_80))]]) ).
cnf(refute_0_1314,plain,
( add(X_10,multiply(X_10,X_80)) != X_10
| add(X_10,multiply(X_11,multiply(X_10,X_80))) != multiply(add(X_11,X_10),add(X_10,multiply(X_10,X_80)))
| add(X_10,multiply(X_11,multiply(X_10,X_80))) = multiply(add(X_11,X_10),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X_10,X_80))),multiply(add(X_11,X_10),add(X_10,multiply(X_10,X_80)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_1315,plain,
( add(X_10,multiply(X_11,multiply(X_10,X_80))) != multiply(add(X_11,X_10),add(X_10,multiply(X_10,X_80)))
| add(X_10,multiply(X_11,multiply(X_10,X_80))) = multiply(add(X_11,X_10),X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_10,X_80)),X_10) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
add(X_10,multiply(X_11,multiply(X_10,X_80))) = multiply(add(X_11,X_10),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X_10,X_80))),multiply(add(X_11,X_10),add(X_10,multiply(X_10,X_80)))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
multiply(X_10,add(X_11,X_10)) = X_10,
inference(subst,[],[refute_0_888:[bind(X_21,$fot(X_10)),bind(X_22,$fot(X_11))]]) ).
cnf(refute_0_1318,plain,
multiply(add(X_11,X_10),X_10) = multiply(X_10,add(X_11,X_10)),
inference(subst,[],[refute_0_120:[bind(X,$fot(X_10)),bind(Y,$fot(add(X_11,X_10)))]]) ).
cnf(refute_0_1319,plain,
( multiply(X_10,add(X_11,X_10)) != X_10
| multiply(add(X_11,X_10),X_10) != multiply(X_10,add(X_11,X_10))
| multiply(add(X_11,X_10),X_10) = X_10 ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_11,X_10),X_10))),bind(Y0,$fot(multiply(X_10,add(X_11,X_10)))),bind(Z0,$fot(X_10))]]) ).
cnf(refute_0_1320,plain,
( multiply(X_10,add(X_11,X_10)) != X_10
| multiply(add(X_11,X_10),X_10) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),X_10),multiply(X_10,add(X_11,X_10))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
multiply(add(X_11,X_10),X_10) = X_10,
inference(resolve,[$cnf( $equal(multiply(X_10,add(X_11,X_10)),X_10) )],[refute_0_1317,refute_0_1320]) ).
cnf(refute_0_1322,plain,
( multiply(add(X_11,X_10),X_10) != X_10
| add(X_10,multiply(X_11,multiply(X_10,X_80))) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,multiply(X_10,X_80))) = X_10 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X_10,X_80))),multiply(add(X_11,X_10),X_10)) ),[1],$fot(X_10)]]) ).
cnf(refute_0_1323,plain,
( add(X_10,multiply(X_11,multiply(X_10,X_80))) != multiply(add(X_11,X_10),X_10)
| add(X_10,multiply(X_11,multiply(X_10,X_80))) = X_10 ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),X_10),X_10) )],[refute_0_1321,refute_0_1322]) ).
cnf(refute_0_1324,plain,
add(X_10,multiply(X_11,multiply(X_10,X_80))) = X_10,
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,multiply(X_10,X_80))),multiply(add(X_11,X_10),X_10)) )],[refute_0_1316,refute_0_1323]) ).
cnf(refute_0_1325,plain,
add(X_22,multiply(X_105,multiply(X_22,X_411))) = X_22,
inference(subst,[],[refute_0_1324:[bind(X_10,$fot(X_22)),bind(X_11,$fot(X_105)),bind(X_80,$fot(X_411))]]) ).
cnf(refute_0_1326,plain,
( multiply(multiply(X_22,X_411),X_105) != multiply(multiply(multiply(X_22,X_411),X_105),add(X_22,multiply(X_105,multiply(X_22,X_411))))
| add(X_22,multiply(X_105,multiply(X_22,X_411))) != X_22
| multiply(multiply(X_22,X_411),X_105) = multiply(multiply(multiply(X_22,X_411),X_105),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_22,X_411),X_105),multiply(multiply(multiply(X_22,X_411),X_105),add(X_22,multiply(X_105,multiply(X_22,X_411))))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_1327,plain,
( multiply(multiply(X_22,X_411),X_105) != multiply(multiply(multiply(X_22,X_411),X_105),add(X_22,multiply(X_105,multiply(X_22,X_411))))
| multiply(multiply(X_22,X_411),X_105) = multiply(multiply(multiply(X_22,X_411),X_105),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_105,multiply(X_22,X_411))),X_22) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
multiply(multiply(X_22,X_411),X_105) = multiply(multiply(multiply(X_22,X_411),X_105),X_22),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_411),X_105),multiply(multiply(multiply(X_22,X_411),X_105),add(X_22,multiply(X_105,multiply(X_22,X_411))))) )],[refute_0_1311,refute_0_1327]) ).
cnf(refute_0_1329,plain,
multiply(multiply(multiply(X_22,X_411),X_105),X_22) = multiply(X_22,multiply(multiply(X_22,X_411),X_105)),
inference(subst,[],[refute_0_1170:[bind(Y,$fot(X_22)),bind(X_198,$fot(multiply(X_22,X_411))),bind(X_199,$fot(X_105))]]) ).
cnf(refute_0_1330,plain,
( multiply(multiply(X_22,X_411),X_105) != multiply(multiply(multiply(X_22,X_411),X_105),X_22)
| multiply(multiply(multiply(X_22,X_411),X_105),X_22) != multiply(X_22,multiply(multiply(X_22,X_411),X_105))
| multiply(multiply(X_22,X_411),X_105) = multiply(X_22,multiply(multiply(X_22,X_411),X_105)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_22,X_411),X_105),multiply(X_22,multiply(multiply(X_22,X_411),X_105))) ),[0],$fot(multiply(multiply(multiply(X_22,X_411),X_105),X_22))]]) ).
cnf(refute_0_1331,plain,
( multiply(multiply(X_22,X_411),X_105) != multiply(multiply(multiply(X_22,X_411),X_105),X_22)
| multiply(multiply(X_22,X_411),X_105) = multiply(X_22,multiply(multiply(X_22,X_411),X_105)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_22,X_411),X_105),X_22),multiply(X_22,multiply(multiply(X_22,X_411),X_105))) )],[refute_0_1329,refute_0_1330]) ).
cnf(refute_0_1332,plain,
multiply(multiply(X_22,X_411),X_105) = multiply(X_22,multiply(multiply(X_22,X_411),X_105)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_411),X_105),multiply(multiply(multiply(X_22,X_411),X_105),X_22)) )],[refute_0_1328,refute_0_1331]) ).
cnf(refute_0_1333,plain,
( multiply(multiply(X_22,X_411),X_105) != multiply(X_22,multiply(multiply(X_22,X_411),X_105))
| multiply(X_22,multiply(multiply(X_22,X_411),X_105)) = multiply(multiply(X_22,X_411),X_105) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(multiply(X_22,X_411),X_105))),bind(Y0,$fot(multiply(X_22,multiply(multiply(X_22,X_411),X_105))))]]) ).
cnf(refute_0_1334,plain,
multiply(X_22,multiply(multiply(X_22,X_411),X_105)) = multiply(multiply(X_22,X_411),X_105),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_411),X_105),multiply(X_22,multiply(multiply(X_22,X_411),X_105))) )],[refute_0_1332,refute_0_1333]) ).
cnf(refute_0_1335,plain,
multiply(X_39,multiply(multiply(X_39,X_426),X_425)) = multiply(multiply(X_39,X_426),X_425),
inference(subst,[],[refute_0_1334:[bind(X_105,$fot(X_425)),bind(X_22,$fot(X_39)),bind(X_411,$fot(X_426))]]) ).
cnf(refute_0_1336,plain,
multiply(inverse(inverse(X_39)),X_426) = multiply(inverse(inverse(X_39)),X_426),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_39)),X_426))]]) ).
cnf(refute_0_1337,plain,
( multiply(inverse(inverse(X_39)),X_426) != multiply(inverse(inverse(X_39)),X_426)
| inverse(inverse(X_39)) != X_39
| multiply(inverse(inverse(X_39)),X_426) = multiply(X_39,X_426) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_39)),X_426),multiply(inverse(inverse(X_39)),X_426)) ),[1,0],$fot(X_39)]]) ).
cnf(refute_0_1338,plain,
( inverse(inverse(X_39)) != X_39
| multiply(inverse(inverse(X_39)),X_426) = multiply(X_39,X_426) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_39)),X_426),multiply(inverse(inverse(X_39)),X_426)) )],[refute_0_1336,refute_0_1337]) ).
cnf(refute_0_1339,plain,
multiply(inverse(inverse(X_39)),X_426) = multiply(X_39,X_426),
inference(resolve,[$cnf( $equal(inverse(inverse(X_39)),X_39) )],[refute_0_1224,refute_0_1338]) ).
cnf(refute_0_1340,plain,
multiply(multiply(inverse(inverse(X_39)),X_426),X_425) = multiply(multiply(inverse(inverse(X_39)),X_426),X_425),
introduced(tautology,[refl,[$fot(multiply(multiply(inverse(inverse(X_39)),X_426),X_425))]]) ).
cnf(refute_0_1341,plain,
( multiply(multiply(inverse(inverse(X_39)),X_426),X_425) != multiply(multiply(inverse(inverse(X_39)),X_426),X_425)
| multiply(inverse(inverse(X_39)),X_426) != multiply(X_39,X_426)
| multiply(multiply(inverse(inverse(X_39)),X_426),X_425) = multiply(multiply(X_39,X_426),X_425) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(inverse(inverse(X_39)),X_426),X_425),multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) ),[1,0],$fot(multiply(X_39,X_426))]]) ).
cnf(refute_0_1342,plain,
( multiply(inverse(inverse(X_39)),X_426) != multiply(X_39,X_426)
| multiply(multiply(inverse(inverse(X_39)),X_426),X_425) = multiply(multiply(X_39,X_426),X_425) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_39)),X_426),X_425),multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) )],[refute_0_1340,refute_0_1341]) ).
cnf(refute_0_1343,plain,
multiply(multiply(inverse(inverse(X_39)),X_426),X_425) = multiply(multiply(X_39,X_426),X_425),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_39)),X_426),multiply(X_39,X_426)) )],[refute_0_1339,refute_0_1342]) ).
cnf(refute_0_1344,plain,
multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),
introduced(tautology,[refl,[$fot(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)))]]) ).
cnf(refute_0_1345,plain,
( multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(multiply(inverse(inverse(X_39)),X_426),X_425) != multiply(multiply(X_39,X_426),X_425)
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(X_39,multiply(multiply(X_39,X_426),X_425)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) ),[1,1],$fot(multiply(multiply(X_39,X_426),X_425))]]) ).
cnf(refute_0_1346,plain,
( multiply(multiply(inverse(inverse(X_39)),X_426),X_425) != multiply(multiply(X_39,X_426),X_425)
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(X_39,multiply(multiply(X_39,X_426),X_425)) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(X_39,multiply(multiply(X_39,X_426),X_425)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(inverse(X_39)),X_426),X_425),multiply(multiply(X_39,X_426),X_425)) )],[refute_0_1343,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( multiply(X_39,multiply(multiply(X_39,X_426),X_425)) != multiply(multiply(X_39,X_426),X_425)
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) != multiply(X_39,multiply(multiply(X_39,X_426),X_425))
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(multiply(X_39,X_426),X_425) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)))),bind(Y0,$fot(multiply(X_39,multiply(multiply(X_39,X_426),X_425)))),bind(Z0,$fot(multiply(multiply(X_39,X_426),X_425)))]]) ).
cnf(refute_0_1349,plain,
( multiply(X_39,multiply(multiply(X_39,X_426),X_425)) != multiply(multiply(X_39,X_426),X_425)
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(multiply(X_39,X_426),X_425) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),multiply(X_39,multiply(multiply(X_39,X_426),X_425))) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) = multiply(multiply(X_39,X_426),X_425),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(multiply(X_39,X_426),X_425)),multiply(multiply(X_39,X_426),X_425)) )],[refute_0_1335,refute_0_1349]) ).
cnf(refute_0_1351,plain,
( multiply(X_39,multiply(X_426,X_425)) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)) != multiply(multiply(X_39,X_426),X_425)
| multiply(X_39,multiply(X_426,X_425)) = multiply(multiply(X_39,X_426),X_425) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,multiply(X_426,X_425)),multiply(multiply(X_39,X_426),X_425)) ),[0],$fot(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)))]]) ).
cnf(refute_0_1352,plain,
( multiply(X_39,multiply(X_426,X_425)) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,multiply(X_426,X_425)) = multiply(multiply(X_39,X_426),X_425) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425)),multiply(multiply(X_39,X_426),X_425)) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
( multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))) != multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))
| multiply(X_39,multiply(X_426,X_425)) = multiply(multiply(X_39,X_426),X_425) ),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(X_426,X_425)),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) )],[refute_0_1310,refute_0_1352]) ).
cnf(refute_0_1354,plain,
multiply(X_39,multiply(X_426,X_425)) = multiply(multiply(X_39,X_426),X_425),
inference(resolve,[$cnf( $equal(multiply(X_39,add(inverse(X_39),multiply(X_426,X_425))),multiply(X_39,multiply(multiply(inverse(inverse(X_39)),X_426),X_425))) )],[refute_0_1307,refute_0_1353]) ).
cnf(refute_0_1355,plain,
( multiply(X_39,multiply(X_426,X_425)) != multiply(multiply(X_39,X_426),X_425)
| multiply(multiply(X_39,X_426),X_425) = multiply(X_39,multiply(X_426,X_425)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_39,multiply(X_426,X_425)))),bind(Y0,$fot(multiply(multiply(X_39,X_426),X_425)))]]) ).
cnf(refute_0_1356,plain,
multiply(multiply(X_39,X_426),X_425) = multiply(X_39,multiply(X_426,X_425)),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(X_426,X_425)),multiply(multiply(X_39,X_426),X_425)) )],[refute_0_1354,refute_0_1355]) ).
cnf(refute_0_1357,plain,
multiply(multiply(X_11,inverse(X_187)),X_188) = multiply(X_11,multiply(inverse(X_187),X_188)),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_11)),bind(X_425,$fot(X_188)),bind(X_426,$fot(inverse(X_187)))]]) ).
cnf(refute_0_1358,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(X_11,multiply(inverse(X_187),X_188))
| multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))) ),[0],$fot(multiply(X_11,multiply(inverse(X_187),X_188)))]]) ).
cnf(refute_0_1359,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_11,multiply(inverse(X_187),X_188))) )],[refute_0_1357,refute_0_1358]) ).
cnf(refute_0_1360,plain,
multiply(multiply(inverse(X_187),X_188),X_11) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(inverse(X_187))),bind(X_425,$fot(X_11)),bind(X_426,$fot(X_188))]]) ).
cnf(refute_0_1361,plain,
add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(multiply(X_39,X_41),add(multiply(X_39,X_40),multiply(X_39,X_41))),
inference(subst,[],[refute_0_822:[bind(X_23,$fot(multiply(X_39,X_41))),bind(X_24,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_1362,plain,
( multiply(X_39,add(X_40,X_41)) != add(multiply(X_39,X_40),multiply(X_39,X_41))
| add(multiply(X_39,X_40),multiply(X_39,X_41)) = multiply(X_39,add(X_40,X_41)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_39,add(X_40,X_41)))),bind(Y0,$fot(add(multiply(X_39,X_40),multiply(X_39,X_41))))]]) ).
cnf(refute_0_1363,plain,
add(multiply(X_39,X_40),multiply(X_39,X_41)) = multiply(X_39,add(X_40,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(X_40,X_41)),add(multiply(X_39,X_40),multiply(X_39,X_41))) )],[refute_0_691,refute_0_1362]) ).
cnf(refute_0_1364,plain,
( add(multiply(X_39,X_40),multiply(X_39,X_41)) != multiply(X_39,add(X_40,X_41))
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != multiply(multiply(X_39,X_41),add(multiply(X_39,X_40),multiply(X_39,X_41)))
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),multiply(multiply(X_39,X_41),add(multiply(X_39,X_40),multiply(X_39,X_41)))) ),[1,1],$fot(multiply(X_39,add(X_40,X_41)))]]) ).
cnf(refute_0_1365,plain,
( add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != multiply(multiply(X_39,X_41),add(multiply(X_39,X_40),multiply(X_39,X_41)))
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_40),multiply(X_39,X_41)),multiply(X_39,add(X_40,X_41))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),multiply(multiply(X_39,X_41),add(multiply(X_39,X_40),multiply(X_39,X_41)))) )],[refute_0_1361,refute_0_1365]) ).
cnf(refute_0_1367,plain,
add(multiply(X_39,X_41),additive_identity) = multiply(X_39,X_41),
inference(subst,[],[additive_id1:[bind(X,$fot(multiply(X_39,X_41)))]]) ).
cnf(refute_0_1368,plain,
multiply(additive_identity,multiply(X_39,X_40)) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(multiply(X_39,X_40)))]]) ).
cnf(refute_0_1369,plain,
add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),
introduced(tautology,[refl,[$fot(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))))]]) ).
cnf(refute_0_1370,plain,
( multiply(additive_identity,multiply(X_39,X_40)) != additive_identity
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40)))
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = add(multiply(X_39,X_41),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1371,plain,
( multiply(additive_identity,multiply(X_39,X_40)) != additive_identity
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = add(multiply(X_39,X_41),additive_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40)))) )],[refute_0_1369,refute_0_1370]) ).
cnf(refute_0_1372,plain,
add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = add(multiply(X_39,X_41),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(X_39,X_40)),additive_identity) )],[refute_0_1368,refute_0_1371]) ).
cnf(refute_0_1373,plain,
( add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != add(multiply(X_39,X_41),additive_identity)
| add(multiply(X_39,X_41),additive_identity) != multiply(X_39,X_41)
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(X_39,X_41) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))))),bind(Y0,$fot(add(multiply(X_39,X_41),additive_identity))),bind(Z0,$fot(multiply(X_39,X_41)))]]) ).
cnf(refute_0_1374,plain,
( add(multiply(X_39,X_41),additive_identity) != multiply(X_39,X_41)
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(X_39,X_41) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),add(multiply(X_39,X_41),additive_identity)) )],[refute_0_1372,refute_0_1373]) ).
cnf(refute_0_1375,plain,
add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) = multiply(X_39,X_41),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),additive_identity),multiply(X_39,X_41)) )],[refute_0_1367,refute_0_1374]) ).
cnf(refute_0_1376,plain,
( add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != multiply(X_39,X_41)
| add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))
| multiply(X_39,X_41) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))) ),[0],$fot(multiply(X_39,X_41))]]) ).
cnf(refute_0_1377,plain,
( add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))) != multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))
| multiply(X_39,X_41) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),multiply(X_39,X_41)) )],[refute_0_1375,refute_0_1376]) ).
cnf(refute_0_1378,plain,
multiply(X_39,X_41) = multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(add(multiply(X_39,X_41),multiply(additive_identity,multiply(X_39,X_40))),multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))) )],[refute_0_1366,refute_0_1377]) ).
cnf(refute_0_1379,plain,
multiply(X_410,multiply(X_22,X_411)) = multiply(multiply(X_410,multiply(X_22,X_411)),add(X_22,multiply(X_410,multiply(X_22,X_411)))),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(multiply(X_410,multiply(X_22,X_411))))]]) ).
cnf(refute_0_1380,plain,
add(X_22,multiply(X_410,multiply(X_22,X_411))) = X_22,
inference(subst,[],[refute_0_1324:[bind(X_10,$fot(X_22)),bind(X_11,$fot(X_410)),bind(X_80,$fot(X_411))]]) ).
cnf(refute_0_1381,plain,
( multiply(X_410,multiply(X_22,X_411)) != multiply(multiply(X_410,multiply(X_22,X_411)),add(X_22,multiply(X_410,multiply(X_22,X_411))))
| add(X_22,multiply(X_410,multiply(X_22,X_411))) != X_22
| multiply(X_410,multiply(X_22,X_411)) = multiply(multiply(X_410,multiply(X_22,X_411)),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_410,multiply(X_22,X_411)),multiply(multiply(X_410,multiply(X_22,X_411)),add(X_22,multiply(X_410,multiply(X_22,X_411))))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_1382,plain,
( multiply(X_410,multiply(X_22,X_411)) != multiply(multiply(X_410,multiply(X_22,X_411)),add(X_22,multiply(X_410,multiply(X_22,X_411))))
| multiply(X_410,multiply(X_22,X_411)) = multiply(multiply(X_410,multiply(X_22,X_411)),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(X_410,multiply(X_22,X_411))),X_22) )],[refute_0_1380,refute_0_1381]) ).
cnf(refute_0_1383,plain,
multiply(X_410,multiply(X_22,X_411)) = multiply(multiply(X_410,multiply(X_22,X_411)),X_22),
inference(resolve,[$cnf( $equal(multiply(X_410,multiply(X_22,X_411)),multiply(multiply(X_410,multiply(X_22,X_411)),add(X_22,multiply(X_410,multiply(X_22,X_411))))) )],[refute_0_1379,refute_0_1382]) ).
cnf(refute_0_1384,plain,
multiply(multiply(X_410,multiply(X_22,X_411)),X_22) = multiply(X_22,multiply(X_410,multiply(X_22,X_411))),
inference(subst,[],[refute_0_1170:[bind(Y,$fot(X_22)),bind(X_198,$fot(X_410)),bind(X_199,$fot(multiply(X_22,X_411)))]]) ).
cnf(refute_0_1385,plain,
( multiply(X_410,multiply(X_22,X_411)) != multiply(multiply(X_410,multiply(X_22,X_411)),X_22)
| multiply(multiply(X_410,multiply(X_22,X_411)),X_22) != multiply(X_22,multiply(X_410,multiply(X_22,X_411)))
| multiply(X_410,multiply(X_22,X_411)) = multiply(X_22,multiply(X_410,multiply(X_22,X_411))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_410,multiply(X_22,X_411)),multiply(X_22,multiply(X_410,multiply(X_22,X_411)))) ),[0],$fot(multiply(multiply(X_410,multiply(X_22,X_411)),X_22))]]) ).
cnf(refute_0_1386,plain,
( multiply(X_410,multiply(X_22,X_411)) != multiply(multiply(X_410,multiply(X_22,X_411)),X_22)
| multiply(X_410,multiply(X_22,X_411)) = multiply(X_22,multiply(X_410,multiply(X_22,X_411))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_410,multiply(X_22,X_411)),X_22),multiply(X_22,multiply(X_410,multiply(X_22,X_411)))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
multiply(X_410,multiply(X_22,X_411)) = multiply(X_22,multiply(X_410,multiply(X_22,X_411))),
inference(resolve,[$cnf( $equal(multiply(X_410,multiply(X_22,X_411)),multiply(multiply(X_410,multiply(X_22,X_411)),X_22)) )],[refute_0_1383,refute_0_1386]) ).
cnf(refute_0_1388,plain,
( multiply(X_410,multiply(X_22,X_411)) != multiply(X_22,multiply(X_410,multiply(X_22,X_411)))
| multiply(X_22,multiply(X_410,multiply(X_22,X_411))) = multiply(X_410,multiply(X_22,X_411)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_410,multiply(X_22,X_411)))),bind(Y0,$fot(multiply(X_22,multiply(X_410,multiply(X_22,X_411)))))]]) ).
cnf(refute_0_1389,plain,
multiply(X_22,multiply(X_410,multiply(X_22,X_411))) = multiply(X_410,multiply(X_22,X_411)),
inference(resolve,[$cnf( $equal(multiply(X_410,multiply(X_22,X_411)),multiply(X_22,multiply(X_410,multiply(X_22,X_411)))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))) = multiply(X_41,multiply(X_39,add(X_40,X_41))),
inference(subst,[],[refute_0_1389:[bind(X_22,$fot(X_39)),bind(X_410,$fot(X_41)),bind(X_411,$fot(add(X_40,X_41)))]]) ).
cnf(refute_0_1391,plain,
multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) = multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))),
inference(subst,[],[refute_0_1356:[bind(X_425,$fot(multiply(X_39,add(X_40,X_41)))),bind(X_426,$fot(X_41))]]) ).
cnf(refute_0_1392,plain,
( multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))) != multiply(X_41,multiply(X_39,add(X_40,X_41)))
| multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) != multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41))))
| multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) = multiply(X_41,multiply(X_39,add(X_40,X_41))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))))),bind(Y0,$fot(multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))))),bind(Z0,$fot(multiply(X_41,multiply(X_39,add(X_40,X_41)))))]]) ).
cnf(refute_0_1393,plain,
( multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))) != multiply(X_41,multiply(X_39,add(X_40,X_41)))
| multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) = multiply(X_41,multiply(X_39,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))),multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41))))) )],[refute_0_1391,refute_0_1392]) ).
cnf(refute_0_1394,plain,
multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) = multiply(X_41,multiply(X_39,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(X_39,multiply(X_41,multiply(X_39,add(X_40,X_41)))),multiply(X_41,multiply(X_39,add(X_40,X_41)))) )],[refute_0_1390,refute_0_1393]) ).
cnf(refute_0_1395,plain,
( multiply(X_39,X_41) != multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))
| multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))) != multiply(X_41,multiply(X_39,add(X_40,X_41)))
| multiply(X_39,X_41) = multiply(X_41,multiply(X_39,add(X_40,X_41))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_39,X_41),multiply(X_41,multiply(X_39,add(X_40,X_41)))) ),[0],$fot(multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))))]]) ).
cnf(refute_0_1396,plain,
( multiply(X_39,X_41) != multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))
| multiply(X_39,X_41) = multiply(X_41,multiply(X_39,add(X_40,X_41))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41))),multiply(X_41,multiply(X_39,add(X_40,X_41)))) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
multiply(X_39,X_41) = multiply(X_41,multiply(X_39,add(X_40,X_41))),
inference(resolve,[$cnf( $equal(multiply(X_39,X_41),multiply(multiply(X_39,X_41),multiply(X_39,add(X_40,X_41)))) )],[refute_0_1378,refute_0_1396]) ).
cnf(refute_0_1398,plain,
( multiply(X_39,X_41) != multiply(X_41,multiply(X_39,add(X_40,X_41)))
| multiply(X_41,multiply(X_39,add(X_40,X_41))) = multiply(X_39,X_41) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_39,X_41))),bind(Y0,$fot(multiply(X_41,multiply(X_39,add(X_40,X_41)))))]]) ).
cnf(refute_0_1399,plain,
multiply(X_41,multiply(X_39,add(X_40,X_41))) = multiply(X_39,X_41),
inference(resolve,[$cnf( $equal(multiply(X_39,X_41),multiply(X_41,multiply(X_39,add(X_40,X_41)))) )],[refute_0_1397,refute_0_1398]) ).
cnf(refute_0_1400,plain,
multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) = multiply(multiply(inverse(X_187),X_188),X_11),
inference(subst,[],[refute_0_1399:[bind(X_39,$fot(multiply(inverse(X_187),X_188))),bind(X_40,$fot(X_187)),bind(X_41,$fot(X_11))]]) ).
cnf(refute_0_1401,plain,
( multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) != multiply(multiply(inverse(X_187),X_188),X_11)
| multiply(multiply(inverse(X_187),X_188),X_11) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))))),bind(Y0,$fot(multiply(multiply(inverse(X_187),X_188),X_11))),bind(Z0,$fot(multiply(inverse(X_187),multiply(X_188,X_11))))]]) ).
cnf(refute_0_1402,plain,
( multiply(multiply(inverse(X_187),X_188),X_11) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))),multiply(multiply(inverse(X_187),X_188),X_11)) )],[refute_0_1400,refute_0_1401]) ).
cnf(refute_0_1403,plain,
multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_187),X_188),X_11),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1360,refute_0_1402]) ).
cnf(refute_0_1404,plain,
multiply(multiply(X_60,X_61),X_188) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),multiply(X_60,X_61)))),
inference(subst,[],[refute_0_1255:[bind(Y,$fot(inverse(X_61))),bind(X_112,$fot(X_188)),bind(X_113,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_1405,plain,
( multiply(multiply(X_60,X_61),X_188) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),multiply(X_60,X_61))))
| add(inverse(X_61),multiply(X_60,X_61)) != add(inverse(X_61),X_60)
| multiply(multiply(X_60,X_61),X_188) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_60,X_61),X_188),multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),multiply(X_60,X_61))))) ),[1,1,1],$fot(add(inverse(X_61),X_60))]]) ).
cnf(refute_0_1406,plain,
( multiply(multiply(X_60,X_61),X_188) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),multiply(X_60,X_61))))
| multiply(multiply(X_60,X_61),X_188) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_61),multiply(X_60,X_61)),add(inverse(X_61),X_60)) )],[refute_0_588,refute_0_1405]) ).
cnf(refute_0_1407,plain,
multiply(multiply(X_60,X_61),X_188) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),X_188),multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),multiply(X_60,X_61))))) )],[refute_0_1404,refute_0_1406]) ).
cnf(refute_0_1408,plain,
multiply(multiply(X_60,X_61),X_188) = multiply(X_60,multiply(X_61,X_188)),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_60)),bind(X_425,$fot(X_188)),bind(X_426,$fot(X_61))]]) ).
cnf(refute_0_1409,plain,
( multiply(multiply(X_60,X_61),X_188) != multiply(X_60,multiply(X_61,X_188))
| multiply(multiply(X_60,X_61),X_188) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))
| multiply(X_60,multiply(X_61,X_188)) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_60,X_61),X_188),multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))) ),[0],$fot(multiply(X_60,multiply(X_61,X_188)))]]) ).
cnf(refute_0_1410,plain,
( multiply(multiply(X_60,X_61),X_188) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))
| multiply(X_60,multiply(X_61,X_188)) = multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),X_188),multiply(X_60,multiply(X_61,X_188))) )],[refute_0_1408,refute_0_1409]) ).
cnf(refute_0_1411,plain,
multiply(X_106,multiply(X_340,X_22)) = multiply(multiply(X_106,multiply(X_340,X_22)),add(X_22,multiply(multiply(X_340,X_22),X_106))),
inference(subst,[],[refute_0_621:[bind(X_105,$fot(multiply(X_340,X_22)))]]) ).
cnf(refute_0_1412,plain,
add(X,multiply(multiply(X_27,X),Z)) = multiply(add(X,multiply(X_27,X)),add(X,Z)),
inference(subst,[],[distributivity1:[bind(Y,$fot(multiply(X_27,X)))]]) ).
cnf(refute_0_1413,plain,
add(X,multiply(X_27,X)) = multiply(X,add(X,X_27)),
inference(subst,[],[refute_0_124:[bind(Y,$fot(X_27)),bind(Z,$fot(X))]]) ).
cnf(refute_0_1414,plain,
( add(X,multiply(X_27,X)) != multiply(X,add(X,X_27))
| add(X,multiply(multiply(X_27,X),Z)) != multiply(add(X,multiply(X_27,X)),add(X,Z))
| add(X,multiply(multiply(X_27,X),Z)) = multiply(multiply(X,add(X,X_27)),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_27,X),Z)),multiply(add(X,multiply(X_27,X)),add(X,Z))) ),[1,0],$fot(multiply(X,add(X,X_27)))]]) ).
cnf(refute_0_1415,plain,
( add(X,multiply(multiply(X_27,X),Z)) != multiply(add(X,multiply(X_27,X)),add(X,Z))
| add(X,multiply(multiply(X_27,X),Z)) = multiply(multiply(X,add(X,X_27)),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_27,X)),multiply(X,add(X,X_27))) )],[refute_0_1413,refute_0_1414]) ).
cnf(refute_0_1416,plain,
add(X,multiply(multiply(X_27,X),Z)) = multiply(multiply(X,add(X,X_27)),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,X),Z)),multiply(add(X,multiply(X_27,X)),add(X,Z))) )],[refute_0_1412,refute_0_1415]) ).
cnf(refute_0_1417,plain,
add(X,multiply(multiply(X_22,additive_identity),Z)) = multiply(add(X,multiply(X_22,additive_identity)),add(X,Z)),
inference(subst,[],[distributivity1:[bind(Y,$fot(multiply(X_22,additive_identity)))]]) ).
cnf(refute_0_1418,plain,
add(X,multiply(X_22,additive_identity)) = multiply(X,add(X,X_22)),
inference(subst,[],[refute_0_164:[bind(X_10,$fot(X)),bind(X_11,$fot(X_22))]]) ).
cnf(refute_0_1419,plain,
( add(X,multiply(X_22,additive_identity)) != multiply(X,add(X,X_22))
| add(X,multiply(multiply(X_22,additive_identity),Z)) != multiply(add(X,multiply(X_22,additive_identity)),add(X,Z))
| add(X,multiply(multiply(X_22,additive_identity),Z)) = multiply(multiply(X,add(X,X_22)),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_22,additive_identity),Z)),multiply(add(X,multiply(X_22,additive_identity)),add(X,Z))) ),[1,0],$fot(multiply(X,add(X,X_22)))]]) ).
cnf(refute_0_1420,plain,
( add(X,multiply(multiply(X_22,additive_identity),Z)) != multiply(add(X,multiply(X_22,additive_identity)),add(X,Z))
| add(X,multiply(multiply(X_22,additive_identity),Z)) = multiply(multiply(X,add(X,X_22)),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_22,additive_identity)),multiply(X,add(X,X_22))) )],[refute_0_1418,refute_0_1419]) ).
cnf(refute_0_1421,plain,
add(X,multiply(multiply(X_22,additive_identity),Z)) = multiply(multiply(X,add(X,X_22)),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_22,additive_identity),Z)),multiply(add(X,multiply(X_22,additive_identity)),add(X,Z))) )],[refute_0_1417,refute_0_1420]) ).
cnf(refute_0_1422,plain,
( add(X,multiply(multiply(X_22,additive_identity),Z)) != multiply(multiply(X,add(X,X_22)),add(X,Z))
| multiply(multiply(X,add(X,X_22)),add(X,Z)) = add(X,multiply(multiply(X_22,additive_identity),Z)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X,multiply(multiply(X_22,additive_identity),Z)))),bind(Y0,$fot(multiply(multiply(X,add(X,X_22)),add(X,Z))))]]) ).
cnf(refute_0_1423,plain,
multiply(multiply(X,add(X,X_22)),add(X,Z)) = add(X,multiply(multiply(X_22,additive_identity),Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_22,additive_identity),Z)),multiply(multiply(X,add(X,X_22)),add(X,Z))) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
multiply(multiply(X,add(X,X_27)),add(X,Z)) = add(X,multiply(multiply(X_27,additive_identity),Z)),
inference(subst,[],[refute_0_1423:[bind(X_22,$fot(X_27))]]) ).
cnf(refute_0_1425,plain,
( multiply(multiply(X,add(X,X_27)),add(X,Z)) != add(X,multiply(multiply(X_27,additive_identity),Z))
| add(X,multiply(multiply(X_27,X),Z)) != multiply(multiply(X,add(X,X_27)),add(X,Z))
| add(X,multiply(multiply(X_27,X),Z)) = add(X,multiply(multiply(X_27,additive_identity),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_27,X),Z)),multiply(multiply(X,add(X,X_27)),add(X,Z))) ),[1],$fot(add(X,multiply(multiply(X_27,additive_identity),Z)))]]) ).
cnf(refute_0_1426,plain,
( add(X,multiply(multiply(X_27,X),Z)) != multiply(multiply(X,add(X,X_27)),add(X,Z))
| add(X,multiply(multiply(X_27,X),Z)) = add(X,multiply(multiply(X_27,additive_identity),Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(X,X_27)),add(X,Z)),add(X,multiply(multiply(X_27,additive_identity),Z))) )],[refute_0_1424,refute_0_1425]) ).
cnf(refute_0_1427,plain,
add(X,multiply(multiply(X_27,X),Z)) = add(X,multiply(multiply(X_27,additive_identity),Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,X),Z)),multiply(multiply(X,add(X,X_27)),add(X,Z))) )],[refute_0_1416,refute_0_1426]) ).
cnf(refute_0_1428,plain,
multiply(additive_identity,Z) = additive_identity,
inference(subst,[],[refute_0_269:[bind(X_41,$fot(Z))]]) ).
cnf(refute_0_1429,plain,
multiply(X_27,additive_identity) = additive_identity,
inference(subst,[],[refute_0_432:[bind(X_11,$fot(X_27))]]) ).
cnf(refute_0_1430,plain,
multiply(multiply(X_27,additive_identity),Z) = multiply(multiply(X_27,additive_identity),Z),
introduced(tautology,[refl,[$fot(multiply(multiply(X_27,additive_identity),Z))]]) ).
cnf(refute_0_1431,plain,
( multiply(X_27,additive_identity) != additive_identity
| multiply(multiply(X_27,additive_identity),Z) != multiply(multiply(X_27,additive_identity),Z)
| multiply(multiply(X_27,additive_identity),Z) = multiply(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_27,additive_identity),Z),multiply(multiply(X_27,additive_identity),Z)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1432,plain,
( multiply(X_27,additive_identity) != additive_identity
| multiply(multiply(X_27,additive_identity),Z) = multiply(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,additive_identity),Z),multiply(multiply(X_27,additive_identity),Z)) )],[refute_0_1430,refute_0_1431]) ).
cnf(refute_0_1433,plain,
multiply(multiply(X_27,additive_identity),Z) = multiply(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(X_27,additive_identity),additive_identity) )],[refute_0_1429,refute_0_1432]) ).
cnf(refute_0_1434,plain,
( multiply(multiply(X_27,additive_identity),Z) != multiply(additive_identity,Z)
| multiply(additive_identity,Z) != additive_identity
| multiply(multiply(X_27,additive_identity),Z) = additive_identity ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_27,additive_identity),Z))),bind(Y0,$fot(multiply(additive_identity,Z))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1435,plain,
( multiply(additive_identity,Z) != additive_identity
| multiply(multiply(X_27,additive_identity),Z) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,additive_identity),Z),multiply(additive_identity,Z)) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
multiply(multiply(X_27,additive_identity),Z) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,Z),additive_identity) )],[refute_0_1428,refute_0_1435]) ).
cnf(refute_0_1437,plain,
add(X,multiply(multiply(X_27,additive_identity),Z)) = add(X,multiply(multiply(X_27,additive_identity),Z)),
introduced(tautology,[refl,[$fot(add(X,multiply(multiply(X_27,additive_identity),Z)))]]) ).
cnf(refute_0_1438,plain,
( multiply(multiply(X_27,additive_identity),Z) != additive_identity
| add(X,multiply(multiply(X_27,additive_identity),Z)) != add(X,multiply(multiply(X_27,additive_identity),Z))
| add(X,multiply(multiply(X_27,additive_identity),Z)) = add(X,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_27,additive_identity),Z)),add(X,multiply(multiply(X_27,additive_identity),Z))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1439,plain,
( multiply(multiply(X_27,additive_identity),Z) != additive_identity
| add(X,multiply(multiply(X_27,additive_identity),Z)) = add(X,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,additive_identity),Z)),add(X,multiply(multiply(X_27,additive_identity),Z))) )],[refute_0_1437,refute_0_1438]) ).
cnf(refute_0_1440,plain,
add(X,multiply(multiply(X_27,additive_identity),Z)) = add(X,additive_identity),
inference(resolve,[$cnf( $equal(multiply(multiply(X_27,additive_identity),Z),additive_identity) )],[refute_0_1436,refute_0_1439]) ).
cnf(refute_0_1441,plain,
( add(X,multiply(multiply(X_27,additive_identity),Z)) != add(X,additive_identity)
| add(X,additive_identity) != X
| add(X,multiply(multiply(X_27,additive_identity),Z)) = X ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(X,multiply(multiply(X_27,additive_identity),Z)))),bind(Y0,$fot(add(X,additive_identity))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_1442,plain,
( add(X,additive_identity) != X
| add(X,multiply(multiply(X_27,additive_identity),Z)) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,additive_identity),Z)),add(X,additive_identity)) )],[refute_0_1440,refute_0_1441]) ).
cnf(refute_0_1443,plain,
add(X,multiply(multiply(X_27,additive_identity),Z)) = X,
inference(resolve,[$cnf( $equal(add(X,additive_identity),X) )],[additive_id1,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( add(X,multiply(multiply(X_27,X),Z)) != add(X,multiply(multiply(X_27,additive_identity),Z))
| add(X,multiply(multiply(X_27,additive_identity),Z)) != X
| add(X,multiply(multiply(X_27,X),Z)) = X ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(multiply(X_27,X),Z)),X) ),[0],$fot(add(X,multiply(multiply(X_27,additive_identity),Z)))]]) ).
cnf(refute_0_1445,plain,
( add(X,multiply(multiply(X_27,X),Z)) != add(X,multiply(multiply(X_27,additive_identity),Z))
| add(X,multiply(multiply(X_27,X),Z)) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,additive_identity),Z)),X) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
add(X,multiply(multiply(X_27,X),Z)) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_27,X),Z)),add(X,multiply(multiply(X_27,additive_identity),Z))) )],[refute_0_1427,refute_0_1445]) ).
cnf(refute_0_1447,plain,
add(X_22,multiply(multiply(X_340,X_22),X_106)) = X_22,
inference(subst,[],[refute_0_1446:[bind(X,$fot(X_22)),bind(Z,$fot(X_106)),bind(X_27,$fot(X_340))]]) ).
cnf(refute_0_1448,plain,
( multiply(X_106,multiply(X_340,X_22)) != multiply(multiply(X_106,multiply(X_340,X_22)),add(X_22,multiply(multiply(X_340,X_22),X_106)))
| add(X_22,multiply(multiply(X_340,X_22),X_106)) != X_22
| multiply(X_106,multiply(X_340,X_22)) = multiply(multiply(X_106,multiply(X_340,X_22)),X_22) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_106,multiply(X_340,X_22)),multiply(multiply(X_106,multiply(X_340,X_22)),add(X_22,multiply(multiply(X_340,X_22),X_106)))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_1449,plain,
( multiply(X_106,multiply(X_340,X_22)) != multiply(multiply(X_106,multiply(X_340,X_22)),add(X_22,multiply(multiply(X_340,X_22),X_106)))
| multiply(X_106,multiply(X_340,X_22)) = multiply(multiply(X_106,multiply(X_340,X_22)),X_22) ),
inference(resolve,[$cnf( $equal(add(X_22,multiply(multiply(X_340,X_22),X_106)),X_22) )],[refute_0_1447,refute_0_1448]) ).
cnf(refute_0_1450,plain,
multiply(X_106,multiply(X_340,X_22)) = multiply(multiply(X_106,multiply(X_340,X_22)),X_22),
inference(resolve,[$cnf( $equal(multiply(X_106,multiply(X_340,X_22)),multiply(multiply(X_106,multiply(X_340,X_22)),add(X_22,multiply(multiply(X_340,X_22),X_106)))) )],[refute_0_1411,refute_0_1449]) ).
cnf(refute_0_1451,plain,
multiply(multiply(X_106,multiply(X_340,X_22)),X_22) = multiply(X_22,multiply(X_106,multiply(X_340,X_22))),
inference(subst,[],[refute_0_1134:[bind(X,$fot(multiply(X_106,multiply(X_340,X_22)))),bind(Z,$fot(X_22))]]) ).
cnf(refute_0_1452,plain,
( multiply(X_106,multiply(X_340,X_22)) != multiply(multiply(X_106,multiply(X_340,X_22)),X_22)
| multiply(multiply(X_106,multiply(X_340,X_22)),X_22) != multiply(X_22,multiply(X_106,multiply(X_340,X_22)))
| multiply(X_106,multiply(X_340,X_22)) = multiply(X_22,multiply(X_106,multiply(X_340,X_22))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_106,multiply(X_340,X_22)),multiply(X_22,multiply(X_106,multiply(X_340,X_22)))) ),[0],$fot(multiply(multiply(X_106,multiply(X_340,X_22)),X_22))]]) ).
cnf(refute_0_1453,plain,
( multiply(X_106,multiply(X_340,X_22)) != multiply(multiply(X_106,multiply(X_340,X_22)),X_22)
| multiply(X_106,multiply(X_340,X_22)) = multiply(X_22,multiply(X_106,multiply(X_340,X_22))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_106,multiply(X_340,X_22)),X_22),multiply(X_22,multiply(X_106,multiply(X_340,X_22)))) )],[refute_0_1451,refute_0_1452]) ).
cnf(refute_0_1454,plain,
multiply(X_106,multiply(X_340,X_22)) = multiply(X_22,multiply(X_106,multiply(X_340,X_22))),
inference(resolve,[$cnf( $equal(multiply(X_106,multiply(X_340,X_22)),multiply(multiply(X_106,multiply(X_340,X_22)),X_22)) )],[refute_0_1450,refute_0_1453]) ).
cnf(refute_0_1455,plain,
( multiply(X_106,multiply(X_340,X_22)) != multiply(X_22,multiply(X_106,multiply(X_340,X_22)))
| multiply(X_22,multiply(X_106,multiply(X_340,X_22))) = multiply(X_106,multiply(X_340,X_22)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_106,multiply(X_340,X_22)))),bind(Y0,$fot(multiply(X_22,multiply(X_106,multiply(X_340,X_22)))))]]) ).
cnf(refute_0_1456,plain,
multiply(X_22,multiply(X_106,multiply(X_340,X_22))) = multiply(X_106,multiply(X_340,X_22)),
inference(resolve,[$cnf( $equal(multiply(X_106,multiply(X_340,X_22)),multiply(X_22,multiply(X_106,multiply(X_340,X_22)))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
multiply(X_60,multiply(X_61,multiply(X_188,X_60))) = multiply(X_61,multiply(X_188,X_60)),
inference(subst,[],[refute_0_1456:[bind(X_106,$fot(X_61)),bind(X_22,$fot(X_60)),bind(X_340,$fot(X_188))]]) ).
cnf(refute_0_1458,plain,
multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),add(multiply(inverse(X_127),multiply(X_127,X_126)),X_186)),
inference(subst,[],[refute_0_1095:[bind(Y,$fot(inverse(X_127))),bind(X_63,$fot(multiply(X_127,X_126))),bind(X_64,$fot(X_186))]]) ).
cnf(refute_0_1459,plain,
inverse(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))) = multiply(inverse(X_127),multiply(X_127,X_126)),
inference(subst,[],[refute_0_566:[bind(X_64,$fot(multiply(inverse(X_127),multiply(X_127,X_126))))]]) ).
cnf(refute_0_1460,plain,
multiplicative_identity = add(add(X_125,multiply(X_125,Z)),inverse(multiply(inverse(X_125),multiply(X_125,Z)))),
inference(subst,[],[refute_0_1017:[bind(X_12,$fot(multiply(X_125,Z))),bind(X_69,$fot(X_125))]]) ).
cnf(refute_0_1461,plain,
add(X_125,multiply(X_125,Z)) = X_125,
inference(subst,[],[refute_0_76:[bind(Y,$fot(X_125))]]) ).
cnf(refute_0_1462,plain,
( add(X_125,multiply(X_125,Z)) != X_125
| multiplicative_identity != add(add(X_125,multiply(X_125,Z)),inverse(multiply(inverse(X_125),multiply(X_125,Z))))
| multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_125,multiply(X_125,Z)),inverse(multiply(inverse(X_125),multiply(X_125,Z))))) ),[1,0],$fot(X_125)]]) ).
cnf(refute_0_1463,plain,
( multiplicative_identity != add(add(X_125,multiply(X_125,Z)),inverse(multiply(inverse(X_125),multiply(X_125,Z))))
| multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))) ),
inference(resolve,[$cnf( $equal(add(X_125,multiply(X_125,Z)),X_125) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
multiplicative_identity = add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_125,multiply(X_125,Z)),inverse(multiply(inverse(X_125),multiply(X_125,Z))))) )],[refute_0_1460,refute_0_1463]) ).
cnf(refute_0_1465,plain,
add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))) = inverse(multiply(inverse(X_125),multiply(X_125,Z))),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_125)),bind(X_94,$fot(multiply(X_125,Z)))]]) ).
cnf(refute_0_1466,plain,
( add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))) != inverse(multiply(inverse(X_125),multiply(X_125,Z)))
| multiplicative_identity != add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z))))
| multiplicative_identity = inverse(multiply(inverse(X_125),multiply(X_125,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z))))) ),[1],$fot(inverse(multiply(inverse(X_125),multiply(X_125,Z))))]]) ).
cnf(refute_0_1467,plain,
( multiplicative_identity != add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z))))
| multiplicative_identity = inverse(multiply(inverse(X_125),multiply(X_125,Z))) ),
inference(resolve,[$cnf( $equal(add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z)))),inverse(multiply(inverse(X_125),multiply(X_125,Z)))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
multiplicative_identity = inverse(multiply(inverse(X_125),multiply(X_125,Z))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_125,inverse(multiply(inverse(X_125),multiply(X_125,Z))))) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
multiplicative_identity = inverse(multiply(inverse(X_127),multiply(X_127,X_126))),
inference(subst,[],[refute_0_1468:[bind(Z,$fot(X_126)),bind(X_125,$fot(X_127))]]) ).
cnf(refute_0_1470,plain,
( multiplicative_identity != inverse(multiply(inverse(X_127),multiply(X_127,X_126)))
| inverse(multiply(inverse(X_127),multiply(X_127,X_126))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))))]]) ).
cnf(refute_0_1471,plain,
inverse(multiply(inverse(X_127),multiply(X_127,X_126))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,inverse(multiply(inverse(X_127),multiply(X_127,X_126)))) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
( inverse(multiply(inverse(X_127),multiply(X_127,X_126))) != multiplicative_identity
| inverse(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))) != multiply(inverse(X_127),multiply(X_127,X_126))
| inverse(multiplicative_identity) = multiply(inverse(X_127),multiply(X_127,X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))),multiply(inverse(X_127),multiply(X_127,X_126))) ),[0,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1473,plain,
( inverse(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))) != multiply(inverse(X_127),multiply(X_127,X_126))
| inverse(multiplicative_identity) = multiply(inverse(X_127),multiply(X_127,X_126)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_127),multiply(X_127,X_126))),multiplicative_identity) )],[refute_0_1471,refute_0_1472]) ).
cnf(refute_0_1474,plain,
inverse(multiplicative_identity) = multiply(inverse(X_127),multiply(X_127,X_126)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(inverse(X_127),multiply(X_127,X_126)))),multiply(inverse(X_127),multiply(X_127,X_126))) )],[refute_0_1459,refute_0_1473]) ).
cnf(refute_0_1475,plain,
( inverse(multiplicative_identity) != multiply(inverse(X_127),multiply(X_127,X_126))
| inverse(multiplicative_identity) != additive_identity
| additive_identity = multiply(inverse(X_127),multiply(X_127,X_126)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiplicative_identity),multiply(inverse(X_127),multiply(X_127,X_126))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_1476,plain,
( inverse(multiplicative_identity) != multiply(inverse(X_127),multiply(X_127,X_126))
| additive_identity = multiply(inverse(X_127),multiply(X_127,X_126)) ),
inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_638,refute_0_1475]) ).
cnf(refute_0_1477,plain,
additive_identity = multiply(inverse(X_127),multiply(X_127,X_126)),
inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),multiply(inverse(X_127),multiply(X_127,X_126))) )],[refute_0_1474,refute_0_1476]) ).
cnf(refute_0_1478,plain,
( additive_identity != multiply(inverse(X_127),multiply(X_127,X_126))
| multiply(inverse(X_127),multiply(X_127,X_126)) = additive_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(inverse(X_127),multiply(X_127,X_126))))]]) ).
cnf(refute_0_1479,plain,
multiply(inverse(X_127),multiply(X_127,X_126)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_127),multiply(X_127,X_126))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),add(multiply(inverse(X_127),multiply(X_127,X_126)),X_186))
| multiply(inverse(X_127),multiply(X_127,X_126)) != additive_identity
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),add(additive_identity,X_186)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),add(multiply(inverse(X_127),multiply(X_127,X_126)),X_186))) ),[1,1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1481,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),add(multiply(inverse(X_127),multiply(X_127,X_126)),X_186))
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),add(additive_identity,X_186)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_127),multiply(X_127,X_126)),additive_identity) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),add(additive_identity,X_186)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),add(multiply(inverse(X_127),multiply(X_127,X_126)),X_186))) )],[refute_0_1458,refute_0_1481]) ).
cnf(refute_0_1483,plain,
add(additive_identity,X_186) = X_186,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_186))]]) ).
cnf(refute_0_1484,plain,
multiply(multiply(X_127,X_126),add(additive_identity,X_186)) = multiply(multiply(X_127,X_126),add(additive_identity,X_186)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_127,X_126),add(additive_identity,X_186)))]]) ).
cnf(refute_0_1485,plain,
( multiply(multiply(X_127,X_126),add(additive_identity,X_186)) != multiply(multiply(X_127,X_126),add(additive_identity,X_186))
| add(additive_identity,X_186) != X_186
| multiply(multiply(X_127,X_126),add(additive_identity,X_186)) = multiply(multiply(X_127,X_126),X_186) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_127,X_126),add(additive_identity,X_186)),multiply(multiply(X_127,X_126),add(additive_identity,X_186))) ),[1,1],$fot(X_186)]]) ).
cnf(refute_0_1486,plain,
( add(additive_identity,X_186) != X_186
| multiply(multiply(X_127,X_126),add(additive_identity,X_186)) = multiply(multiply(X_127,X_126),X_186) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(additive_identity,X_186)),multiply(multiply(X_127,X_126),add(additive_identity,X_186))) )],[refute_0_1484,refute_0_1485]) ).
cnf(refute_0_1487,plain,
multiply(multiply(X_127,X_126),add(additive_identity,X_186)) = multiply(multiply(X_127,X_126),X_186),
inference(resolve,[$cnf( $equal(add(additive_identity,X_186),X_186) )],[refute_0_1483,refute_0_1486]) ).
cnf(refute_0_1488,plain,
( multiply(multiply(X_127,X_126),add(additive_identity,X_186)) != multiply(multiply(X_127,X_126),X_186)
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),add(additive_identity,X_186))
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),X_186) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),add(additive_identity,X_186))) ),[1],$fot(multiply(multiply(X_127,X_126),X_186))]]) ).
cnf(refute_0_1489,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),add(additive_identity,X_186))
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),X_186) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(additive_identity,X_186)),multiply(multiply(X_127,X_126),X_186)) )],[refute_0_1487,refute_0_1488]) ).
cnf(refute_0_1490,plain,
multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(multiply(X_127,X_126),X_186),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),add(additive_identity,X_186))) )],[refute_0_1482,refute_0_1489]) ).
cnf(refute_0_1491,plain,
multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) = multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_127)),bind(X_425,$fot(add(inverse(X_127),X_186))),bind(X_426,$fot(X_126))]]) ).
cnf(refute_0_1492,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(X_127,multiply(X_126,add(inverse(X_127),X_186)))
| multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),X_186)
| multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(multiply(X_127,X_126),X_186) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),X_186)) ),[0],$fot(multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))))]]) ).
cnf(refute_0_1493,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),X_186)
| multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(multiply(X_127,X_126),X_186) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(X_127,multiply(X_126,add(inverse(X_127),X_186)))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
multiply(multiply(X_127,X_126),X_186) = multiply(X_127,multiply(X_126,X_186)),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_127)),bind(X_425,$fot(X_186)),bind(X_426,$fot(X_126))]]) ).
cnf(refute_0_1495,plain,
( multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) != multiply(multiply(X_127,X_126),X_186)
| multiply(multiply(X_127,X_126),X_186) != multiply(X_127,multiply(X_126,X_186))
| multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(X_127,multiply(X_126,X_186)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))),multiply(X_127,multiply(X_126,X_186))) ),[0],$fot(multiply(multiply(X_127,X_126),X_186))]]) ).
cnf(refute_0_1496,plain,
( multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) != multiply(multiply(X_127,X_126),X_186)
| multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(X_127,multiply(X_126,X_186)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),X_186),multiply(X_127,multiply(X_126,X_186))) )],[refute_0_1494,refute_0_1495]) ).
cnf(refute_0_1497,plain,
( multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)) != multiply(multiply(X_127,X_126),X_186)
| multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(X_127,multiply(X_126,X_186)) ),
inference(resolve,[$cnf( $equal(multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))),multiply(multiply(X_127,X_126),X_186)) )],[refute_0_1493,refute_0_1496]) ).
cnf(refute_0_1498,plain,
multiply(X_127,multiply(X_126,add(inverse(X_127),X_186))) = multiply(X_127,multiply(X_126,X_186)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_127,X_126),add(inverse(X_127),X_186)),multiply(multiply(X_127,X_126),X_186)) )],[refute_0_1490,refute_0_1497]) ).
cnf(refute_0_1499,plain,
multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_61,multiply(X_188,X_60)),
inference(subst,[],[refute_0_1498:[bind(X_126,$fot(X_188)),bind(X_127,$fot(X_61)),bind(X_186,$fot(X_60))]]) ).
cnf(refute_0_1500,plain,
( multiply(X_22,X_80) != multiply(X_22,multiply(X_22,X_80))
| multiply(X_22,multiply(X_22,X_80)) = multiply(X_22,X_80) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_22,X_80))),bind(Y0,$fot(multiply(X_22,multiply(X_22,X_80))))]]) ).
cnf(refute_0_1501,plain,
multiply(X_22,multiply(X_22,X_80)) = multiply(X_22,X_80),
inference(resolve,[$cnf( $equal(multiply(X_22,X_80),multiply(X_22,multiply(X_22,X_80))) )],[refute_0_995,refute_0_1500]) ).
cnf(refute_0_1502,plain,
multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_188,add(inverse(X_61),X_60)),
inference(subst,[],[refute_0_1501:[bind(X_22,$fot(X_188)),bind(X_80,$fot(add(inverse(X_61),X_60)))]]) ).
cnf(refute_0_1503,plain,
multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),
introduced(tautology,[refl,[$fot(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))]]) ).
cnf(refute_0_1504,plain,
( multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_188,add(inverse(X_61),X_60))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) ),[1,1],$fot(multiply(X_188,add(inverse(X_61),X_60)))]]) ).
cnf(refute_0_1505,plain,
( multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_188,add(inverse(X_61),X_60))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))),
inference(resolve,[$cnf( $equal(multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))),multiply(X_188,add(inverse(X_61),X_60))) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_61,multiply(X_188,add(inverse(X_61),X_60)))
| multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))),bind(Y0,$fot(multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))))),bind(Z0,$fot(multiply(X_61,multiply(X_188,X_60))))]]) ).
cnf(refute_0_1508,plain,
( multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),multiply(X_61,multiply(X_188,add(inverse(X_61),X_60)))) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_61,multiply(X_188,X_60)),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_188,add(inverse(X_61),X_60))),multiply(X_61,multiply(X_188,X_60))) )],[refute_0_1499,refute_0_1508]) ).
cnf(refute_0_1510,plain,
multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),
introduced(tautology,[refl,[$fot(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))))]]) ).
cnf(refute_0_1511,plain,
( multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) != multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))
| multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_60,multiply(X_61,multiply(X_188,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))) ),[1,1],$fot(multiply(X_61,multiply(X_188,X_60)))]]) ).
cnf(refute_0_1512,plain,
( multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_60,multiply(X_61,multiply(X_188,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))) )],[refute_0_1510,refute_0_1511]) ).
cnf(refute_0_1513,plain,
multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_60,multiply(X_61,multiply(X_188,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),multiply(X_61,multiply(X_188,X_60))) )],[refute_0_1509,refute_0_1512]) ).
cnf(refute_0_1514,plain,
( multiply(X_60,multiply(X_61,multiply(X_188,X_60))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) != multiply(X_60,multiply(X_61,multiply(X_188,X_60)))
| multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))))),bind(Y0,$fot(multiply(X_60,multiply(X_61,multiply(X_188,X_60))))),bind(Z0,$fot(multiply(X_61,multiply(X_188,X_60))))]]) ).
cnf(refute_0_1515,plain,
( multiply(X_60,multiply(X_61,multiply(X_188,X_60))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),multiply(X_60,multiply(X_61,multiply(X_188,X_60)))) )],[refute_0_1513,refute_0_1514]) ).
cnf(refute_0_1516,plain,
multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) = multiply(X_61,multiply(X_188,X_60)),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(X_188,X_60))),multiply(X_61,multiply(X_188,X_60))) )],[refute_0_1457,refute_0_1515]) ).
cnf(refute_0_1517,plain,
multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) = multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_60)),bind(X_425,$fot(multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),bind(X_426,$fot(X_61))]]) ).
cnf(refute_0_1518,plain,
multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(multiply(X_60,X_61))),bind(X_425,$fot(multiply(X_188,add(inverse(X_61),X_60)))),bind(X_426,$fot(X_188))]]) ).
cnf(refute_0_1519,plain,
( multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) != multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))))),bind(Y0,$fot(multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))),bind(Z0,$fot(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))))]]) ).
cnf(refute_0_1520,plain,
( multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))) != multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))),multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) )],[refute_0_1518,refute_0_1519]) ).
cnf(refute_0_1521,plain,
multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))),multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))) )],[refute_0_1517,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) != multiply(X_61,multiply(X_188,X_60))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))))),bind(Y0,$fot(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))))),bind(Z0,$fot(multiply(X_61,multiply(X_188,X_60))))]]) ).
cnf(refute_0_1523,plain,
( multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))) != multiply(X_61,multiply(X_188,X_60))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_61,multiply(X_188,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))),multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60)))))) )],[refute_0_1521,refute_0_1522]) ).
cnf(refute_0_1524,plain,
multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) = multiply(X_61,multiply(X_188,X_60)),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(X_188,multiply(X_188,add(inverse(X_61),X_60))))),multiply(X_61,multiply(X_188,X_60))) )],[refute_0_1516,refute_0_1523]) ).
cnf(refute_0_1525,plain,
( multiply(X_60,multiply(X_61,X_188)) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))
| multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))) != multiply(X_61,multiply(X_188,X_60))
| multiply(X_60,multiply(X_61,X_188)) = multiply(X_61,multiply(X_188,X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_60,multiply(X_61,X_188)),multiply(X_61,multiply(X_188,X_60))) ),[0],$fot(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))))]]) ).
cnf(refute_0_1526,plain,
( multiply(X_60,multiply(X_61,X_188)) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))
| multiply(X_60,multiply(X_61,X_188)) = multiply(X_61,multiply(X_188,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60))),multiply(X_61,multiply(X_188,X_60))) )],[refute_0_1524,refute_0_1525]) ).
cnf(refute_0_1527,plain,
( multiply(multiply(X_60,X_61),X_188) != multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))
| multiply(X_60,multiply(X_61,X_188)) = multiply(X_61,multiply(X_188,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,X_188)),multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))) )],[refute_0_1410,refute_0_1526]) ).
cnf(refute_0_1528,plain,
multiply(X_60,multiply(X_61,X_188)) = multiply(X_61,multiply(X_188,X_60)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),X_188),multiply(multiply(multiply(X_60,X_61),X_188),multiply(X_188,add(inverse(X_61),X_60)))) )],[refute_0_1407,refute_0_1527]) ).
cnf(refute_0_1529,plain,
multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) = multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))),
inference(subst,[],[refute_0_1528:[bind(X_188,$fot(multiply(inverse(X_187),X_188))),bind(X_60,$fot(add(X_187,X_11))),bind(X_61,$fot(X_11))]]) ).
cnf(refute_0_1530,plain,
( multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) != multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11)))
| multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))))),bind(Y0,$fot(multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))))),bind(Z0,$fot(multiply(inverse(X_187),multiply(X_188,X_11))))]]) ).
cnf(refute_0_1531,plain,
( multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))),multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11)))) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(multiply(inverse(X_187),X_188),add(X_187,X_11))),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1403,refute_0_1531]) ).
cnf(refute_0_1533,plain,
multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),
introduced(tautology,[refl,[$fot(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)))]]) ).
cnf(refute_0_1534,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(X_11,multiply(inverse(X_187),X_188))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) ),[1,1],$fot(multiply(X_11,multiply(inverse(X_187),X_188)))]]) ).
cnf(refute_0_1535,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(X_11,multiply(inverse(X_187),X_188))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(X_11,multiply(inverse(X_187),X_188))) )],[refute_0_1357,refute_0_1535]) ).
cnf(refute_0_1537,plain,
( multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188)))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)))),bind(Y0,$fot(multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))))),bind(Z0,$fot(multiply(inverse(X_187),multiply(X_188,X_11))))]]) ).
cnf(refute_0_1538,plain,
( multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188)))) )],[refute_0_1536,refute_0_1537]) ).
cnf(refute_0_1539,plain,
multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(resolve,[$cnf( $equal(multiply(add(X_187,X_11),multiply(X_11,multiply(inverse(X_187),X_188))),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1532,refute_0_1538]) ).
cnf(refute_0_1540,plain,
multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) = multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),
inference(subst,[],[refute_0_1456:[bind(X_106,$fot(add(X_187,X_11))),bind(X_22,$fot(X_188)),bind(X_340,$fot(multiply(X_11,inverse(X_187))))]]) ).
cnf(refute_0_1541,plain,
multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(X_188)),bind(X_425,$fot(multiply(multiply(X_11,inverse(X_187)),X_188))),bind(X_426,$fot(add(X_187,X_11)))]]) ).
cnf(refute_0_1542,plain,
( multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) != multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)))),bind(Y0,$fot(multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))))),bind(Z0,$fot(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))))]]) ).
cnf(refute_0_1543,plain,
( multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) != multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)))) )],[refute_0_1541,refute_0_1542]) ).
cnf(refute_0_1544,plain,
multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),
inference(resolve,[$cnf( $equal(multiply(X_188,multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))),multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1540,refute_0_1543]) ).
cnf(refute_0_1545,plain,
( multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)))),bind(Y0,$fot(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)))),bind(Z0,$fot(multiply(inverse(X_187),multiply(X_188,X_11))))]]) ).
cnf(refute_0_1546,plain,
( multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(resolve,[$cnf( $equal(multiply(add(X_187,X_11),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1539,refute_0_1546]) ).
cnf(refute_0_1548,plain,
( multiply(X_11,multiply(inverse(X_187),X_188)) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,multiply(inverse(X_187),X_188)),multiply(inverse(X_187),multiply(X_188,X_11))) ),[0],$fot(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)))]]) ).
cnf(refute_0_1549,plain,
( multiply(X_11,multiply(inverse(X_187),X_188)) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188)),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1547,refute_0_1548]) ).
cnf(refute_0_1550,plain,
( multiply(multiply(X_11,inverse(X_187)),X_188) != multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))
| multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(inverse(X_187),X_188)),multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1359,refute_0_1549]) ).
cnf(refute_0_1551,plain,
multiply(X_11,multiply(inverse(X_187),X_188)) = multiply(inverse(X_187),multiply(X_188,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,inverse(X_187)),X_188),multiply(multiply(X_188,add(X_187,X_11)),multiply(multiply(X_11,inverse(X_187)),X_188))) )],[refute_0_1302,refute_0_1550]) ).
cnf(refute_0_1552,plain,
( multiply(X_11,multiply(inverse(X_187),X_188)) != multiply(inverse(X_187),multiply(X_188,X_11))
| multiply(inverse(X_187),multiply(X_188,X_11)) = multiply(X_11,multiply(inverse(X_187),X_188)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_11,multiply(inverse(X_187),X_188)))),bind(Y0,$fot(multiply(inverse(X_187),multiply(X_188,X_11))))]]) ).
cnf(refute_0_1553,plain,
multiply(inverse(X_187),multiply(X_188,X_11)) = multiply(X_11,multiply(inverse(X_187),X_188)),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(inverse(X_187),X_188)),multiply(inverse(X_187),multiply(X_188,X_11))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)),
inference(subst,[],[refute_0_1553:[bind(X_11,$fot(X_396)),bind(X_187,$fot(multiply(inverse(X_396),X_397))),bind(X_188,$fot(X_395))]]) ).
cnf(refute_0_1555,plain,
( multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)) != multiply(X_396,X_395)
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395))
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_396,X_395) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)))),bind(Y0,$fot(multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)))),bind(Z0,$fot(multiply(X_396,X_395)))]]) ).
cnf(refute_0_1556,plain,
( multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)) != multiply(X_396,X_395)
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_396,X_395) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395))) )],[refute_0_1554,refute_0_1555]) ).
cnf(refute_0_1557,plain,
multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) = multiply(X_396,X_395),
inference(resolve,[$cnf( $equal(multiply(X_396,multiply(inverse(multiply(inverse(X_396),X_397)),X_395)),multiply(X_396,X_395)) )],[refute_0_1248,refute_0_1556]) ).
cnf(refute_0_1558,plain,
( multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(X_395,X_396)
| multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(X_396,X_395)
| multiply(X_396,X_395) = multiply(X_395,X_396) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) ),[0],$fot(multiply(X_396,X_395))]]) ).
cnf(refute_0_1559,plain,
( multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)) != multiply(X_395,X_396)
| multiply(X_396,X_395) = multiply(X_395,X_396) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_396,X_395)) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
multiply(X_396,X_395) = multiply(X_395,X_396),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_396),X_397)),multiply(X_395,X_396)),multiply(X_395,X_396)) )],[refute_0_1179,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( multiply(X_396,X_395) != multiply(X_395,X_396)
| multiply(X_395,X_396) = multiply(X_396,X_395) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_396,X_395))),bind(Y0,$fot(multiply(X_395,X_396)))]]) ).
cnf(refute_0_1562,plain,
multiply(X_395,X_396) = multiply(X_396,X_395),
inference(resolve,[$cnf( $equal(multiply(X_396,X_395),multiply(X_395,X_396)) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))) = multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64))),
inference(subst,[],[refute_0_1562:[bind(X_395,$fot(add(X_428,inverse(X_64)))),bind(X_396,$fot(inverse(multiply(X_428,X_64))))]]) ).
cnf(refute_0_1564,plain,
( multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))) != multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64)))
| inverse(X_64) != multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64)))
| inverse(X_64) = multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_64),multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64)))) ),[1],$fot(multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64))))]]) ).
cnf(refute_0_1565,plain,
( inverse(X_64) != multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64)))
| inverse(X_64) = multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64))),multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64)))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
inverse(X_64) = multiply(inverse(multiply(X_428,X_64)),add(X_428,inverse(X_64))),
inference(resolve,[$cnf( $equal(inverse(X_64),multiply(add(X_428,inverse(X_64)),inverse(multiply(X_428,X_64)))) )],[refute_0_813,refute_0_1565]) ).
cnf(refute_0_1567,plain,
inverse(X_432) = multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))),
inference(subst,[],[refute_0_1566:[bind(X_428,$fot(X_431)),bind(X_64,$fot(X_432))]]) ).
cnf(refute_0_1568,plain,
( inverse(X_432) != multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))
| multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))) = inverse(X_432) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(X_432))),bind(Y0,$fot(multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))))]]) ).
cnf(refute_0_1569,plain,
multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))) = inverse(X_432),
inference(resolve,[$cnf( $equal(inverse(X_432),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) )],[refute_0_1567,refute_0_1568]) ).
cnf(refute_0_1570,plain,
( multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))) != inverse(X_432)
| add(inverse(multiply(X_431,X_432)),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) != inverse(multiply(X_431,X_432))
| add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_431,X_432)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))),inverse(multiply(X_431,X_432))) ),[0,1],$fot(inverse(X_432))]]) ).
cnf(refute_0_1571,plain,
( add(inverse(multiply(X_431,X_432)),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) != inverse(multiply(X_431,X_432))
| add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_431,X_432)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))),inverse(X_432)) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_431,X_432)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))),inverse(multiply(X_431,X_432))) )],[refute_0_77,refute_0_1571]) ).
cnf(refute_0_1573,plain,
multiply(X_432,multiply(X_431,X_432)) = multiply(X_432,X_431),
inference(subst,[],[refute_0_720:[bind(Y,$fot(X_431)),bind(X_34,$fot(X_432))]]) ).
cnf(refute_0_1574,plain,
inverse(multiply(X_432,multiply(X_431,X_432))) = inverse(multiply(X_432,multiply(X_431,X_432))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_432,multiply(X_431,X_432))))]]) ).
cnf(refute_0_1575,plain,
( multiply(X_432,multiply(X_431,X_432)) != multiply(X_432,X_431)
| inverse(multiply(X_432,multiply(X_431,X_432))) != inverse(multiply(X_432,multiply(X_431,X_432)))
| inverse(multiply(X_432,multiply(X_431,X_432))) = inverse(multiply(X_432,X_431)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_432,multiply(X_431,X_432))),inverse(multiply(X_432,multiply(X_431,X_432)))) ),[1,0],$fot(multiply(X_432,X_431))]]) ).
cnf(refute_0_1576,plain,
( multiply(X_432,multiply(X_431,X_432)) != multiply(X_432,X_431)
| inverse(multiply(X_432,multiply(X_431,X_432))) = inverse(multiply(X_432,X_431)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_432,multiply(X_431,X_432))),inverse(multiply(X_432,multiply(X_431,X_432)))) )],[refute_0_1574,refute_0_1575]) ).
cnf(refute_0_1577,plain,
inverse(multiply(X_432,multiply(X_431,X_432))) = inverse(multiply(X_432,X_431)),
inference(resolve,[$cnf( $equal(multiply(X_432,multiply(X_431,X_432)),multiply(X_432,X_431)) )],[refute_0_1573,refute_0_1576]) ).
cnf(refute_0_1578,plain,
add(inverse(add(X_431,inverse(X_432))),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))),
inference(subst,[],[refute_0_588:[bind(X_60,$fot(inverse(multiply(X_431,X_432)))),bind(X_61,$fot(add(X_431,inverse(X_432))))]]) ).
cnf(refute_0_1579,plain,
( multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))) != inverse(X_432)
| add(inverse(add(X_431,inverse(X_432))),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))),add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))) ),[0,1],$fot(inverse(X_432))]]) ).
cnf(refute_0_1580,plain,
( add(inverse(add(X_431,inverse(X_432))),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432))),inverse(X_432)) )],[refute_0_1569,refute_0_1579]) ).
cnf(refute_0_1581,plain,
add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),multiply(inverse(multiply(X_431,X_432)),add(X_431,inverse(X_432)))),add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))) )],[refute_0_1578,refute_0_1580]) ).
cnf(refute_0_1582,plain,
add(inverse(add(X_428,X_427)),multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),
inference(subst,[],[refute_0_154:[bind(X_63,$fot(add(X_428,X_427))),bind(X_64,$fot(inverse(multiply(X_428,inverse(X_427)))))]]) ).
cnf(refute_0_1583,plain,
X_427 = multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427)))),
inference(subst,[],[refute_0_809:[bind(X_424,$fot(X_427)),bind(X_426,$fot(X_428))]]) ).
cnf(refute_0_1584,plain,
( X_427 != multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))
| multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427)))) = X_427 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_427)),bind(Y0,$fot(multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))))]]) ).
cnf(refute_0_1585,plain,
multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427)))) = X_427,
inference(resolve,[$cnf( $equal(X_427,multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
( multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427)))) != X_427
| add(inverse(add(X_428,X_427)),multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(inverse(add(X_428,X_427)),X_427) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_428,X_427)),multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) ),[0,1],$fot(X_427)]]) ).
cnf(refute_0_1587,plain,
( add(inverse(add(X_428,X_427)),multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(inverse(add(X_428,X_427)),X_427) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427)))),X_427) )],[refute_0_1585,refute_0_1586]) ).
cnf(refute_0_1588,plain,
add(inverse(add(X_428,X_427)),X_427) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),multiply(add(X_428,X_427),inverse(multiply(X_428,inverse(X_427))))),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) )],[refute_0_1582,refute_0_1587]) ).
cnf(refute_0_1589,plain,
add(inverse(add(X_428,X_427)),X_427) = add(X_427,inverse(add(X_428,X_427))),
inference(subst,[],[refute_0_142:[bind(X_10,$fot(inverse(add(X_428,X_427)))),bind(X_11,$fot(X_427))]]) ).
cnf(refute_0_1590,plain,
( add(inverse(add(X_428,X_427)),X_427) != add(X_427,inverse(add(X_428,X_427)))
| add(inverse(add(X_428,X_427)),X_427) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(X_427,inverse(add(X_428,X_427))) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_428,X_427)),X_427),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) ),[0],$fot(add(X_427,inverse(add(X_428,X_427))))]]) ).
cnf(refute_0_1591,plain,
( add(inverse(add(X_428,X_427)),X_427) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(X_427,inverse(add(X_428,X_427))) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),X_427),add(X_427,inverse(add(X_428,X_427)))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
add(X_427,inverse(add(X_428,X_427))) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),X_427),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) )],[refute_0_1588,refute_0_1591]) ).
cnf(refute_0_1593,plain,
add(X_236,multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41))) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236),
inference(subst,[],[refute_0_1216:[bind(X_10,$fot(X_236)),bind(X_12,$fot(add(inverse(add(inverse(X_236),X_238)),X_41))),bind(X_76,$fot(X_238))]]) ).
cnf(refute_0_1594,plain,
multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41)) = multiply(add(inverse(X_236),X_238),X_41),
inference(subst,[],[refute_0_110:[bind(X_39,$fot(add(inverse(X_236),X_238)))]]) ).
cnf(refute_0_1595,plain,
( multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41)) != multiply(add(inverse(X_236),X_238),X_41)
| add(X_236,multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41))) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_236,multiply(add(inverse(X_236),X_238),X_41)) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_236,multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41))),add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)) ),[0,1],$fot(multiply(add(inverse(X_236),X_238),X_41))]]) ).
cnf(refute_0_1596,plain,
( add(X_236,multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41))) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_236,multiply(add(inverse(X_236),X_238),X_41)) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41)),multiply(add(inverse(X_236),X_238),X_41)) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
add(X_236,multiply(add(inverse(X_236),X_238),X_41)) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236),
inference(resolve,[$cnf( $equal(add(X_236,multiply(add(inverse(X_236),X_238),add(inverse(add(inverse(X_236),X_238)),X_41))),add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)) )],[refute_0_1593,refute_0_1596]) ).
cnf(refute_0_1598,plain,
add(X_236,multiply(add(inverse(X_236),X_238),X_41)) = add(X_41,X_236),
inference(subst,[],[refute_0_1216:[bind(X_10,$fot(X_236)),bind(X_12,$fot(X_41)),bind(X_76,$fot(X_238))]]) ).
cnf(refute_0_1599,plain,
( add(X_236,multiply(add(inverse(X_236),X_238),X_41)) != add(X_41,X_236)
| add(X_236,multiply(add(inverse(X_236),X_238),X_41)) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_41,X_236) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_236,multiply(add(inverse(X_236),X_238),X_41)),add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)) ),[0],$fot(add(X_41,X_236))]]) ).
cnf(refute_0_1600,plain,
( add(X_236,multiply(add(inverse(X_236),X_238),X_41)) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_41,X_236) = add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) ),
inference(resolve,[$cnf( $equal(add(X_236,multiply(add(inverse(X_236),X_238),X_41)),add(X_41,X_236)) )],[refute_0_1598,refute_0_1599]) ).
cnf(refute_0_1601,plain,
add(add(X_22,X_160),X_161) = multiply(add(add(X_22,X_160),X_161),add(X_22,add(add(X_22,X_160),X_161))),
inference(subst,[],[refute_0_443:[bind(X_21,$fot(add(add(X_22,X_160),X_161)))]]) ).
cnf(refute_0_1602,plain,
add(add(add(Y,X_145),X_147),multiply(Y,add(add(Y,X_145),X_147))) = add(add(Y,X_145),X_147),
inference(subst,[],[refute_0_128:[bind(Z,$fot(add(add(Y,X_145),X_147)))]]) ).
cnf(refute_0_1603,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_39)),bind(Y,$fot(add(X_39,X_24))),bind(Z,$fot(X_41))]]) ).
cnf(refute_0_1604,plain,
add(multiply(additive_identity,X_24),X_39) = multiply(X_39,add(X_39,X_24)),
inference(subst,[],[refute_0_203:[bind(Y,$fot(X_39))]]) ).
cnf(refute_0_1605,plain,
( add(multiply(additive_identity,X_24),X_39) != multiply(X_39,add(X_39,X_24))
| multiply(X_39,add(X_39,X_24)) = add(multiply(additive_identity,X_24),X_39) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(multiply(additive_identity,X_24),X_39))),bind(Y0,$fot(multiply(X_39,add(X_39,X_24))))]]) ).
cnf(refute_0_1606,plain,
multiply(X_39,add(X_39,X_24)) = add(multiply(additive_identity,X_24),X_39),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),multiply(X_39,add(X_39,X_24))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
( multiply(X_39,add(X_39,X_24)) != add(multiply(additive_identity,X_24),X_39)
| multiply(X_39,add(add(X_39,X_24),X_41)) != add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))
| multiply(X_39,add(add(X_39,X_24),X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) ),
introduced(tautology,[equality,[$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_1608,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( $equal(multiply(X_39,add(X_39,X_24)),add(multiply(additive_identity,X_24),X_39)) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_39,X_24),X_41)),add(multiply(X_39,add(X_39,X_24)),multiply(X_39,X_41))) )],[refute_0_1603,refute_0_1608]) ).
cnf(refute_0_1610,plain,
add(additive_identity,X_39) = X_39,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_39))]]) ).
cnf(refute_0_1611,plain,
add(multiply(additive_identity,X_24),X_39) = add(multiply(additive_identity,X_24),X_39),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_24),X_39))]]) ).
cnf(refute_0_1612,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(multiply(additive_identity,X_24),X_39) != add(multiply(additive_identity,X_24),X_39)
| add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39) ),
introduced(tautology,[equality,[$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_1613,plain,
( multiply(additive_identity,X_24) != additive_identity
| add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),add(multiply(additive_identity,X_24),X_39)) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
add(multiply(additive_identity,X_24),X_39) = add(additive_identity,X_39),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_24),additive_identity) )],[refute_0_831,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( add(multiply(additive_identity,X_24),X_39) != add(additive_identity,X_39)
| add(additive_identity,X_39) != X_39
| add(multiply(additive_identity,X_24),X_39) = X_39 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_1616,plain,
( add(additive_identity,X_39) != X_39
| add(multiply(additive_identity,X_24),X_39) = X_39 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),add(additive_identity,X_39)) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
add(multiply(additive_identity,X_24),X_39) = X_39,
inference(resolve,[$cnf( $equal(add(additive_identity,X_39),X_39) )],[refute_0_1610,refute_0_1616]) ).
cnf(refute_0_1618,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),
introduced(tautology,[refl,[$fot(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)))]]) ).
cnf(refute_0_1619,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_1620,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( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = add(X_39,multiply(X_39,X_41)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_24),X_39),X_39) )],[refute_0_1617,refute_0_1620]) ).
cnf(refute_0_1622,plain,
( add(X_39,multiply(X_39,X_41)) != X_39
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) != add(X_39,multiply(X_39,X_41))
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = X_39 ),
inference(subst,[],[refute_0_54:[bind(X0,$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_1623,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( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),add(X_39,multiply(X_39,X_41))) )],[refute_0_1621,refute_0_1622]) ).
cnf(refute_0_1624,plain,
add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) = X_39,
inference(resolve,[$cnf( $equal(add(X_39,multiply(X_39,X_41)),X_39) )],[refute_0_829,refute_0_1623]) ).
cnf(refute_0_1625,plain,
( multiply(X_39,add(add(X_39,X_24),X_41)) != add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))
| add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)) != X_39
| multiply(X_39,add(add(X_39,X_24),X_41)) = X_39 ),
introduced(tautology,[equality,[$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_1626,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( $equal(add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41)),X_39) )],[refute_0_1624,refute_0_1625]) ).
cnf(refute_0_1627,plain,
multiply(X_39,add(add(X_39,X_24),X_41)) = X_39,
inference(resolve,[$cnf( $equal(multiply(X_39,add(add(X_39,X_24),X_41)),add(add(multiply(additive_identity,X_24),X_39),multiply(X_39,X_41))) )],[refute_0_1609,refute_0_1626]) ).
cnf(refute_0_1628,plain,
multiply(Y,add(add(Y,X_145),X_147)) = Y,
inference(subst,[],[refute_0_1627:[bind(X_24,$fot(X_145)),bind(X_39,$fot(Y)),bind(X_41,$fot(X_147))]]) ).
cnf(refute_0_1629,plain,
( multiply(Y,add(add(Y,X_145),X_147)) != Y
| add(add(add(Y,X_145),X_147),multiply(Y,add(add(Y,X_145),X_147))) != add(add(Y,X_145),X_147)
| add(add(add(Y,X_145),X_147),Y) = add(add(Y,X_145),X_147) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(Y,X_145),X_147),multiply(Y,add(add(Y,X_145),X_147))),add(add(Y,X_145),X_147)) ),[0,1],$fot(Y)]]) ).
cnf(refute_0_1630,plain,
( add(add(add(Y,X_145),X_147),multiply(Y,add(add(Y,X_145),X_147))) != add(add(Y,X_145),X_147)
| add(add(add(Y,X_145),X_147),Y) = add(add(Y,X_145),X_147) ),
inference(resolve,[$cnf( $equal(multiply(Y,add(add(Y,X_145),X_147)),Y) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
add(add(add(Y,X_145),X_147),Y) = add(add(Y,X_145),X_147),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_145),X_147),multiply(Y,add(add(Y,X_145),X_147))),add(add(Y,X_145),X_147)) )],[refute_0_1602,refute_0_1630]) ).
cnf(refute_0_1632,plain,
add(add(add(Y,X_145),X_147),Y) = add(Y,add(add(Y,X_145),X_147)),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(Y)),bind(X_12,$fot(add(add(Y,X_145),X_147)))]]) ).
cnf(refute_0_1633,plain,
( add(add(add(Y,X_145),X_147),Y) != add(Y,add(add(Y,X_145),X_147))
| add(add(add(Y,X_145),X_147),Y) != add(add(Y,X_145),X_147)
| add(Y,add(add(Y,X_145),X_147)) = add(add(Y,X_145),X_147) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(Y,X_145),X_147),Y),add(add(Y,X_145),X_147)) ),[0],$fot(add(Y,add(add(Y,X_145),X_147)))]]) ).
cnf(refute_0_1634,plain,
( add(add(add(Y,X_145),X_147),Y) != add(add(Y,X_145),X_147)
| add(Y,add(add(Y,X_145),X_147)) = add(add(Y,X_145),X_147) ),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_145),X_147),Y),add(Y,add(add(Y,X_145),X_147))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
add(Y,add(add(Y,X_145),X_147)) = add(add(Y,X_145),X_147),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_145),X_147),Y),add(add(Y,X_145),X_147)) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
add(X_22,add(add(X_22,X_160),X_161)) = add(add(X_22,X_160),X_161),
inference(subst,[],[refute_0_1635:[bind(Y,$fot(X_22)),bind(X_145,$fot(X_160)),bind(X_147,$fot(X_161))]]) ).
cnf(refute_0_1637,plain,
( add(X_22,add(add(X_22,X_160),X_161)) != add(add(X_22,X_160),X_161)
| add(add(X_22,X_160),X_161) != multiply(add(add(X_22,X_160),X_161),add(X_22,add(add(X_22,X_160),X_161)))
| add(add(X_22,X_160),X_161) = multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_22,X_160),X_161),multiply(add(add(X_22,X_160),X_161),add(X_22,add(add(X_22,X_160),X_161)))) ),[1,1],$fot(add(add(X_22,X_160),X_161))]]) ).
cnf(refute_0_1638,plain,
( add(add(X_22,X_160),X_161) != multiply(add(add(X_22,X_160),X_161),add(X_22,add(add(X_22,X_160),X_161)))
| add(add(X_22,X_160),X_161) = multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) ),
inference(resolve,[$cnf( $equal(add(X_22,add(add(X_22,X_160),X_161)),add(add(X_22,X_160),X_161)) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
add(add(X_22,X_160),X_161) = multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)),
inference(resolve,[$cnf( $equal(add(add(X_22,X_160),X_161),multiply(add(add(X_22,X_160),X_161),add(X_22,add(add(X_22,X_160),X_161)))) )],[refute_0_1601,refute_0_1638]) ).
cnf(refute_0_1640,plain,
multiply(X_22,X_22) = X_22,
inference(subst,[],[refute_0_424:[bind(X_28,$fot(X_22))]]) ).
cnf(refute_0_1641,plain,
add(X_160,multiply(X_22,X_22)) = add(X_160,multiply(X_22,X_22)),
introduced(tautology,[refl,[$fot(add(X_160,multiply(X_22,X_22)))]]) ).
cnf(refute_0_1642,plain,
( multiply(X_22,X_22) != X_22
| add(X_160,multiply(X_22,X_22)) != add(X_160,multiply(X_22,X_22))
| add(X_160,multiply(X_22,X_22)) = add(X_160,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_160,multiply(X_22,X_22)),add(X_160,multiply(X_22,X_22))) ),[1,1],$fot(X_22)]]) ).
cnf(refute_0_1643,plain,
( multiply(X_22,X_22) != X_22
| add(X_160,multiply(X_22,X_22)) = add(X_160,X_22) ),
inference(resolve,[$cnf( $equal(add(X_160,multiply(X_22,X_22)),add(X_160,multiply(X_22,X_22))) )],[refute_0_1641,refute_0_1642]) ).
cnf(refute_0_1644,plain,
add(X_160,multiply(X_22,X_22)) = add(X_160,X_22),
inference(resolve,[$cnf( $equal(multiply(X_22,X_22),X_22) )],[refute_0_1640,refute_0_1643]) ).
cnf(refute_0_1645,plain,
add(X_60,X_59) = add(X_59,X_60),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_60)),bind(Y,$fot(X_59))]]) ).
cnf(refute_0_1646,plain,
( add(X_60,X_59) != add(X_59,X_60)
| add(X_59,X_60) = add(X_60,X_59) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_60,X_59))),bind(Y0,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_1647,plain,
add(X_59,X_60) = add(X_60,X_59),
inference(resolve,[$cnf( $equal(add(X_60,X_59),add(X_59,X_60)) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( add(X_59,X_60) != add(X_60,X_59)
| add(X_59,multiply(X_60,X_61)) != multiply(add(X_59,X_60),add(X_61,X_59))
| add(X_59,multiply(X_60,X_61)) = multiply(add(X_60,X_59),add(X_61,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_59,multiply(X_60,X_61)),multiply(add(X_59,X_60),add(X_61,X_59))) ),[1,0],$fot(add(X_60,X_59))]]) ).
cnf(refute_0_1649,plain,
( add(X_59,multiply(X_60,X_61)) != multiply(add(X_59,X_60),add(X_61,X_59))
| add(X_59,multiply(X_60,X_61)) = multiply(add(X_60,X_59),add(X_61,X_59)) ),
inference(resolve,[$cnf( $equal(add(X_59,X_60),add(X_60,X_59)) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
add(X_59,multiply(X_60,X_61)) = multiply(add(X_60,X_59),add(X_61,X_59)),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,X_61)),multiply(add(X_59,X_60),add(X_61,X_59))) )],[refute_0_1077,refute_0_1649]) ).
cnf(refute_0_1651,plain,
( add(X_59,multiply(X_60,X_61)) != multiply(add(X_60,X_59),add(X_61,X_59))
| multiply(add(X_60,X_59),add(X_61,X_59)) = add(X_59,multiply(X_60,X_61)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_59,multiply(X_60,X_61)))),bind(Y0,$fot(multiply(add(X_60,X_59),add(X_61,X_59))))]]) ).
cnf(refute_0_1652,plain,
multiply(add(X_60,X_59),add(X_61,X_59)) = add(X_59,multiply(X_60,X_61)),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,X_61)),multiply(add(X_60,X_59),add(X_61,X_59))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
multiply(add(X_22,X_160),add(X_22,X_160)) = add(X_160,multiply(X_22,X_22)),
inference(subst,[],[refute_0_1652:[bind(X_59,$fot(X_160)),bind(X_60,$fot(X_22)),bind(X_61,$fot(X_22))]]) ).
cnf(refute_0_1654,plain,
( multiply(add(X_22,X_160),add(X_22,X_160)) != add(X_160,multiply(X_22,X_22))
| add(X_160,multiply(X_22,X_22)) != add(X_160,X_22)
| multiply(add(X_22,X_160),add(X_22,X_160)) = add(X_160,X_22) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(X_22,X_160),add(X_22,X_160)))),bind(Y0,$fot(add(X_160,multiply(X_22,X_22)))),bind(Z0,$fot(add(X_160,X_22)))]]) ).
cnf(refute_0_1655,plain,
( add(X_160,multiply(X_22,X_22)) != add(X_160,X_22)
| multiply(add(X_22,X_160),add(X_22,X_160)) = add(X_160,X_22) ),
inference(resolve,[$cnf( $equal(multiply(add(X_22,X_160),add(X_22,X_160)),add(X_160,multiply(X_22,X_22))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
multiply(add(X_22,X_160),add(X_22,X_160)) = add(X_160,X_22),
inference(resolve,[$cnf( $equal(add(X_160,multiply(X_22,X_22)),add(X_160,X_22)) )],[refute_0_1644,refute_0_1655]) ).
cnf(refute_0_1657,plain,
add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) = add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))),
introduced(tautology,[refl,[$fot(add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))))]]) ).
cnf(refute_0_1658,plain,
( multiply(add(X_22,X_160),add(X_22,X_160)) != add(X_160,X_22)
| add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) != add(X_161,multiply(add(X_22,X_160),add(X_22,X_160)))
| add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) = add(X_161,add(X_160,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))),add(X_161,multiply(add(X_22,X_160),add(X_22,X_160)))) ),[1,1],$fot(add(X_160,X_22))]]) ).
cnf(refute_0_1659,plain,
( multiply(add(X_22,X_160),add(X_22,X_160)) != add(X_160,X_22)
| add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) = add(X_161,add(X_160,X_22)) ),
inference(resolve,[$cnf( $equal(add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))),add(X_161,multiply(add(X_22,X_160),add(X_22,X_160)))) )],[refute_0_1657,refute_0_1658]) ).
cnf(refute_0_1660,plain,
add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) = add(X_161,add(X_160,X_22)),
inference(resolve,[$cnf( $equal(multiply(add(X_22,X_160),add(X_22,X_160)),add(X_160,X_22)) )],[refute_0_1656,refute_0_1659]) ).
cnf(refute_0_1661,plain,
multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) = add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))),
inference(subst,[],[refute_0_1652:[bind(X_59,$fot(X_161)),bind(X_60,$fot(add(X_22,X_160))),bind(X_61,$fot(add(X_22,X_160)))]]) ).
cnf(refute_0_1662,plain,
( multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) != add(X_161,multiply(add(X_22,X_160),add(X_22,X_160)))
| add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) != add(X_161,add(X_160,X_22))
| multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) = add(X_161,add(X_160,X_22)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)))),bind(Y0,$fot(add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))))),bind(Z0,$fot(add(X_161,add(X_160,X_22))))]]) ).
cnf(refute_0_1663,plain,
( add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))) != add(X_161,add(X_160,X_22))
| multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) = add(X_161,add(X_160,X_22)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)),add(X_161,multiply(add(X_22,X_160),add(X_22,X_160)))) )],[refute_0_1661,refute_0_1662]) ).
cnf(refute_0_1664,plain,
multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) = add(X_161,add(X_160,X_22)),
inference(resolve,[$cnf( $equal(add(X_161,multiply(add(X_22,X_160),add(X_22,X_160))),add(X_161,add(X_160,X_22))) )],[refute_0_1660,refute_0_1663]) ).
cnf(refute_0_1665,plain,
( multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)) != add(X_161,add(X_160,X_22))
| add(add(X_22,X_160),X_161) != multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161))
| add(add(X_22,X_160),X_161) = add(X_161,add(X_160,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_22,X_160),X_161),multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161))) ),[1],$fot(add(X_161,add(X_160,X_22)))]]) ).
cnf(refute_0_1666,plain,
( add(add(X_22,X_160),X_161) != multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161))
| add(add(X_22,X_160),X_161) = add(X_161,add(X_160,X_22)) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161)),add(X_161,add(X_160,X_22))) )],[refute_0_1664,refute_0_1665]) ).
cnf(refute_0_1667,plain,
add(add(X_22,X_160),X_161) = add(X_161,add(X_160,X_22)),
inference(resolve,[$cnf( $equal(add(add(X_22,X_160),X_161),multiply(add(add(X_22,X_160),X_161),add(add(X_22,X_160),X_161))) )],[refute_0_1639,refute_0_1666]) ).
cnf(refute_0_1668,plain,
add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) = add(X_236,add(X_41,inverse(add(inverse(X_236),X_238)))),
inference(subst,[],[refute_0_1667:[bind(X_160,$fot(X_41)),bind(X_161,$fot(X_236)),bind(X_22,$fot(inverse(add(inverse(X_236),X_238))))]]) ).
cnf(refute_0_1669,plain,
( add(X_41,X_236) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236) != add(X_236,add(X_41,inverse(add(inverse(X_236),X_238))))
| add(X_41,X_236) = add(X_236,add(X_41,inverse(add(inverse(X_236),X_238)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_41,X_236),add(X_236,add(X_41,inverse(add(inverse(X_236),X_238))))) ),[0],$fot(add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236))]]) ).
cnf(refute_0_1670,plain,
( add(X_41,X_236) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_41,X_236) = add(X_236,add(X_41,inverse(add(inverse(X_236),X_238)))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236),add(X_236,add(X_41,inverse(add(inverse(X_236),X_238))))) )],[refute_0_1668,refute_0_1669]) ).
cnf(refute_0_1671,plain,
( add(X_236,multiply(add(inverse(X_236),X_238),X_41)) != add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)
| add(X_41,X_236) = add(X_236,add(X_41,inverse(add(inverse(X_236),X_238)))) ),
inference(resolve,[$cnf( $equal(add(X_41,X_236),add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)) )],[refute_0_1600,refute_0_1670]) ).
cnf(refute_0_1672,plain,
add(X_41,X_236) = add(X_236,add(X_41,inverse(add(inverse(X_236),X_238)))),
inference(resolve,[$cnf( $equal(add(X_236,multiply(add(inverse(X_236),X_238),X_41)),add(add(inverse(add(inverse(X_236),X_238)),X_41),X_236)) )],[refute_0_1597,refute_0_1671]) ).
cnf(refute_0_1673,plain,
add(X_420,inverse(X_64)) = add(inverse(X_64),add(X_420,inverse(add(inverse(inverse(X_64)),X_419)))),
inference(subst,[],[refute_0_1672:[bind(X_236,$fot(inverse(X_64))),bind(X_238,$fot(X_419)),bind(X_41,$fot(X_420))]]) ).
cnf(refute_0_1674,plain,
( add(X_420,inverse(X_64)) != add(inverse(X_64),add(X_420,inverse(add(inverse(inverse(X_64)),X_419))))
| inverse(inverse(X_64)) != X_64
| add(X_420,inverse(X_64)) = add(inverse(X_64),add(X_420,inverse(add(X_64,X_419)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_420,inverse(X_64)),add(inverse(X_64),add(X_420,inverse(add(inverse(inverse(X_64)),X_419))))) ),[1,1,1,0,0],$fot(X_64)]]) ).
cnf(refute_0_1675,plain,
( add(X_420,inverse(X_64)) != add(inverse(X_64),add(X_420,inverse(add(inverse(inverse(X_64)),X_419))))
| add(X_420,inverse(X_64)) = add(inverse(X_64),add(X_420,inverse(add(X_64,X_419)))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_566,refute_0_1674]) ).
cnf(refute_0_1676,plain,
add(X_420,inverse(X_64)) = add(inverse(X_64),add(X_420,inverse(add(X_64,X_419)))),
inference(resolve,[$cnf( $equal(add(X_420,inverse(X_64)),add(inverse(X_64),add(X_420,inverse(add(inverse(inverse(X_64)),X_419))))) )],[refute_0_1673,refute_0_1675]) ).
cnf(refute_0_1677,plain,
( add(X_420,inverse(X_64)) != add(inverse(X_64),add(X_420,inverse(add(X_64,X_419))))
| add(inverse(X_64),add(X_420,inverse(add(X_64,X_419)))) = add(X_420,inverse(X_64)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_420,inverse(X_64)))),bind(Y0,$fot(add(inverse(X_64),add(X_420,inverse(add(X_64,X_419))))))]]) ).
cnf(refute_0_1678,plain,
add(inverse(X_64),add(X_420,inverse(add(X_64,X_419)))) = add(X_420,inverse(X_64)),
inference(resolve,[$cnf( $equal(add(X_420,inverse(X_64)),add(inverse(X_64),add(X_420,inverse(add(X_64,X_419))))) )],[refute_0_1676,refute_0_1677]) ).
cnf(refute_0_1679,plain,
add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))) = add(X_427,inverse(X_428)),
inference(subst,[],[refute_0_1678:[bind(X_419,$fot(X_427)),bind(X_420,$fot(X_427)),bind(X_64,$fot(X_428))]]) ).
cnf(refute_0_1680,plain,
add(Y,add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) = add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))),
inference(subst,[],[refute_0_1635:[bind(X_147,$fot(inverse(multiply(X_357,inverse(add(Y,X_145))))))]]) ).
cnf(refute_0_1681,plain,
add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))) = inverse(multiply(X_357,inverse(add(Y,X_145)))),
inference(subst,[],[refute_0_800:[bind(Y,$fot(add(Y,X_145))),bind(X_98,$fot(X_357))]]) ).
cnf(refute_0_1682,plain,
( add(Y,add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) != add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))
| add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))),add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) ),[0,1],$fot(inverse(multiply(X_357,inverse(add(Y,X_145)))))]]) ).
cnf(refute_0_1683,plain,
( add(Y,add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) != add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))),inverse(multiply(X_357,inverse(add(Y,X_145))))) )],[refute_0_1681,refute_0_1682]) ).
cnf(refute_0_1684,plain,
add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))),
inference(resolve,[$cnf( $equal(add(Y,add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))),add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) )],[refute_0_1680,refute_0_1683]) ).
cnf(refute_0_1685,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))
| add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = inverse(multiply(X_357,inverse(add(Y,X_145)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),inverse(multiply(X_357,inverse(add(Y,X_145))))) ),[0],$fot(add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))))]]) ).
cnf(refute_0_1686,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = inverse(multiply(X_357,inverse(add(Y,X_145)))) ),
inference(resolve,[$cnf( $equal(add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145))))),inverse(multiply(X_357,inverse(add(Y,X_145))))) )],[refute_0_1681,refute_0_1685]) ).
cnf(refute_0_1687,plain,
add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = inverse(multiply(X_357,inverse(add(Y,X_145)))),
inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),add(add(Y,X_145),inverse(multiply(X_357,inverse(add(Y,X_145)))))) )],[refute_0_1684,refute_0_1686]) ).
cnf(refute_0_1688,plain,
add(inverse(multiply(X_96,X_97)),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) = inverse(multiply(X_96,X_97)),
inference(subst,[],[refute_0_128:[bind(Y,$fot(inverse(X_96))),bind(Z,$fot(inverse(multiply(X_96,X_97))))]]) ).
cnf(refute_0_1689,plain,
( inverse(X_96) != multiply(inverse(X_96),inverse(multiply(X_96,X_97)))
| multiply(inverse(X_96),inverse(multiply(X_96,X_97))) = inverse(X_96) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(X_96))),bind(Y0,$fot(multiply(inverse(X_96),inverse(multiply(X_96,X_97)))))]]) ).
cnf(refute_0_1690,plain,
multiply(inverse(X_96),inverse(multiply(X_96,X_97))) = inverse(X_96),
inference(resolve,[$cnf( $equal(inverse(X_96),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) )],[refute_0_570,refute_0_1689]) ).
cnf(refute_0_1691,plain,
( multiply(inverse(X_96),inverse(multiply(X_96,X_97))) != inverse(X_96)
| add(inverse(multiply(X_96,X_97)),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) != inverse(multiply(X_96,X_97))
| add(inverse(multiply(X_96,X_97)),inverse(X_96)) = inverse(multiply(X_96,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_96,X_97)),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))),inverse(multiply(X_96,X_97))) ),[0,1],$fot(inverse(X_96))]]) ).
cnf(refute_0_1692,plain,
( add(inverse(multiply(X_96,X_97)),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))) != inverse(multiply(X_96,X_97))
| add(inverse(multiply(X_96,X_97)),inverse(X_96)) = inverse(multiply(X_96,X_97)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_96),inverse(multiply(X_96,X_97))),inverse(X_96)) )],[refute_0_1690,refute_0_1691]) ).
cnf(refute_0_1693,plain,
add(inverse(multiply(X_96,X_97)),inverse(X_96)) = inverse(multiply(X_96,X_97)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_96,X_97)),multiply(inverse(X_96),inverse(multiply(X_96,X_97)))),inverse(multiply(X_96,X_97))) )],[refute_0_1688,refute_0_1692]) ).
cnf(refute_0_1694,plain,
add(inverse(multiply(X_96,X_97)),inverse(X_96)) = add(inverse(X_96),inverse(multiply(X_96,X_97))),
inference(subst,[],[refute_0_486:[bind(X_10,$fot(inverse(X_96))),bind(X_12,$fot(inverse(multiply(X_96,X_97))))]]) ).
cnf(refute_0_1695,plain,
( add(inverse(multiply(X_96,X_97)),inverse(X_96)) != add(inverse(X_96),inverse(multiply(X_96,X_97)))
| add(inverse(multiply(X_96,X_97)),inverse(X_96)) != inverse(multiply(X_96,X_97))
| add(inverse(X_96),inverse(multiply(X_96,X_97))) = inverse(multiply(X_96,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_96,X_97)),inverse(X_96)),inverse(multiply(X_96,X_97))) ),[0],$fot(add(inverse(X_96),inverse(multiply(X_96,X_97))))]]) ).
cnf(refute_0_1696,plain,
( add(inverse(multiply(X_96,X_97)),inverse(X_96)) != inverse(multiply(X_96,X_97))
| add(inverse(X_96),inverse(multiply(X_96,X_97))) = inverse(multiply(X_96,X_97)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_96,X_97)),inverse(X_96)),add(inverse(X_96),inverse(multiply(X_96,X_97)))) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
add(inverse(X_96),inverse(multiply(X_96,X_97))) = inverse(multiply(X_96,X_97)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_96,X_97)),inverse(X_96)),inverse(multiply(X_96,X_97))) )],[refute_0_1693,refute_0_1696]) ).
cnf(refute_0_1698,plain,
add(inverse(multiply(inverse(X_429),inverse(X_430))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),
inference(subst,[],[refute_0_1697:[bind(X_96,$fot(multiply(inverse(X_429),inverse(X_430))))]]) ).
cnf(refute_0_1699,plain,
add(X_10,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))) = add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10),
inference(subst,[],[refute_0_1216:[bind(X_12,$fot(inverse(multiply(inverse(X_10),inverse(X_76)))))]]) ).
cnf(refute_0_1700,plain,
X_76 = multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76)))),
inference(subst,[],[refute_0_809:[bind(X_424,$fot(X_76)),bind(X_426,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1701,plain,
( X_76 != multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))
| multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76)))) = X_76 ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(X_76)),bind(Y0,$fot(multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))))]]) ).
cnf(refute_0_1702,plain,
multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76)))) = X_76,
inference(resolve,[$cnf( $equal(X_76,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
( multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76)))) != X_76
| add(X_10,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))) != add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)
| add(X_10,X_76) = add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))),add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)) ),[0,1],$fot(X_76)]]) ).
cnf(refute_0_1704,plain,
( add(X_10,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))) != add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)
| add(X_10,X_76) = add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76)))),X_76) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
add(X_10,X_76) = add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(add(inverse(X_10),X_76),inverse(multiply(inverse(X_10),inverse(X_76))))),add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)) )],[refute_0_1699,refute_0_1704]) ).
cnf(refute_0_1706,plain,
add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))) = inverse(multiply(inverse(X_10),inverse(X_76))),
inference(subst,[],[refute_0_865:[bind(Y,$fot(X_10)),bind(X_94,$fot(inverse(X_76)))]]) ).
cnf(refute_0_1707,plain,
add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) = add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))),
inference(subst,[],[refute_0_142:[bind(X_10,$fot(inverse(multiply(inverse(X_10),inverse(X_76))))),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_1708,plain,
( add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))) != inverse(multiply(inverse(X_10),inverse(X_76)))
| add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) != add(X_10,inverse(multiply(inverse(X_10),inverse(X_76))))
| add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) = inverse(multiply(inverse(X_10),inverse(X_76))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10))),bind(Y0,$fot(add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))))),bind(Z0,$fot(inverse(multiply(inverse(X_10),inverse(X_76)))))]]) ).
cnf(refute_0_1709,plain,
( add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))) != inverse(multiply(inverse(X_10),inverse(X_76)))
| add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) = inverse(multiply(inverse(X_10),inverse(X_76))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10),add(X_10,inverse(multiply(inverse(X_10),inverse(X_76))))) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) = inverse(multiply(inverse(X_10),inverse(X_76))),
inference(resolve,[$cnf( $equal(add(X_10,inverse(multiply(inverse(X_10),inverse(X_76)))),inverse(multiply(inverse(X_10),inverse(X_76)))) )],[refute_0_1706,refute_0_1709]) ).
cnf(refute_0_1711,plain,
( add(X_10,X_76) != add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)
| add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10) != inverse(multiply(inverse(X_10),inverse(X_76)))
| add(X_10,X_76) = inverse(multiply(inverse(X_10),inverse(X_76))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_10,X_76),inverse(multiply(inverse(X_10),inverse(X_76)))) ),[0],$fot(add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10))]]) ).
cnf(refute_0_1712,plain,
( add(X_10,X_76) != add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)
| add(X_10,X_76) = inverse(multiply(inverse(X_10),inverse(X_76))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10),inverse(multiply(inverse(X_10),inverse(X_76)))) )],[refute_0_1710,refute_0_1711]) ).
cnf(refute_0_1713,plain,
add(X_10,X_76) = inverse(multiply(inverse(X_10),inverse(X_76))),
inference(resolve,[$cnf( $equal(add(X_10,X_76),add(inverse(multiply(inverse(X_10),inverse(X_76))),X_10)) )],[refute_0_1705,refute_0_1712]) ).
cnf(refute_0_1714,plain,
add(X_429,X_430) = inverse(multiply(inverse(X_429),inverse(X_430))),
inference(subst,[],[refute_0_1713:[bind(X_10,$fot(X_429)),bind(X_76,$fot(X_430))]]) ).
cnf(refute_0_1715,plain,
( add(X_429,X_430) != inverse(multiply(inverse(X_429),inverse(X_430)))
| inverse(multiply(inverse(X_429),inverse(X_430))) = add(X_429,X_430) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_429,X_430))),bind(Y0,$fot(inverse(multiply(inverse(X_429),inverse(X_430)))))]]) ).
cnf(refute_0_1716,plain,
inverse(multiply(inverse(X_429),inverse(X_430))) = add(X_429,X_430),
inference(resolve,[$cnf( $equal(add(X_429,X_430),inverse(multiply(inverse(X_429),inverse(X_430)))) )],[refute_0_1714,refute_0_1715]) ).
cnf(refute_0_1717,plain,
( add(inverse(multiply(inverse(X_429),inverse(X_430))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| inverse(multiply(inverse(X_429),inverse(X_430))) != add(X_429,X_430)
| add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(inverse(X_429),inverse(X_430))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) ),[0,0],$fot(add(X_429,X_430))]]) ).
cnf(refute_0_1718,plain,
( add(inverse(multiply(inverse(X_429),inverse(X_430))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_429),inverse(X_430))),add(X_429,X_430)) )],[refute_0_1716,refute_0_1717]) ).
cnf(refute_0_1719,plain,
add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_429),inverse(X_430))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) )],[refute_0_1698,refute_0_1718]) ).
cnf(refute_0_1720,plain,
multiply(multiply(inverse(X_429),inverse(X_430)),X_97) = multiply(inverse(X_429),multiply(inverse(X_430),X_97)),
inference(subst,[],[refute_0_1356:[bind(X_39,$fot(inverse(X_429))),bind(X_425,$fot(X_97)),bind(X_426,$fot(inverse(X_430)))]]) ).
cnf(refute_0_1721,plain,
inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)))]]) ).
cnf(refute_0_1722,plain,
( multiply(multiply(inverse(X_429),inverse(X_430)),X_97) != multiply(inverse(X_429),multiply(inverse(X_430),X_97))
| inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) ),[1,0],$fot(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))]]) ).
cnf(refute_0_1723,plain,
( multiply(multiply(inverse(X_429),inverse(X_430)),X_97) != multiply(inverse(X_429),multiply(inverse(X_430),X_97))
| inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) )],[refute_0_1721,refute_0_1722]) ).
cnf(refute_0_1724,plain,
inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_429),inverse(X_430)),X_97),multiply(inverse(X_429),multiply(inverse(X_430),X_97))) )],[refute_0_1720,refute_0_1723]) ).
cnf(refute_0_1725,plain,
add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),
introduced(tautology,[refl,[$fot(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))))]]) ).
cnf(refute_0_1726,plain,
( add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)))
| inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)))) ),[1,1],$fot(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))]]) ).
cnf(refute_0_1727,plain,
( inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)))) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) = add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) )],[refute_0_1724,refute_0_1727]) ).
cnf(refute_0_1729,plain,
( add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))
| add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) ),[0],$fot(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))))]]) ).
cnf(refute_0_1730,plain,
( add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) ),[0],$fot(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)))]]) ).
cnf(refute_0_1732,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97)),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) )],[refute_0_1724,refute_0_1731]) ).
cnf(refute_0_1733,plain,
( add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) != inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) )],[refute_0_1730,refute_0_1732]) ).
cnf(refute_0_1734,plain,
add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))),inverse(multiply(multiply(inverse(X_429),inverse(X_430)),X_97))) )],[refute_0_1719,refute_0_1733]) ).
cnf(refute_0_1735,plain,
add(X_10,multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)),
inference(subst,[],[refute_0_86:[bind(X_12,$fot(add(multiply(X_184,inverse(X_10)),X_186)))]]) ).
cnf(refute_0_1736,plain,
multiply(inverse(X_10),add(X_184,X_186)) = multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186)),
inference(subst,[],[refute_0_1095:[bind(Y,$fot(X_184)),bind(X_63,$fot(inverse(X_10))),bind(X_64,$fot(X_186))]]) ).
cnf(refute_0_1737,plain,
( multiply(inverse(X_10),add(X_184,X_186)) != multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))
| multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186)) = multiply(inverse(X_10),add(X_184,X_186)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(inverse(X_10),add(X_184,X_186)))),bind(Y0,$fot(multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))))]]) ).
cnf(refute_0_1738,plain,
multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186)) = multiply(inverse(X_10),add(X_184,X_186)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),add(X_184,X_186)),multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))) )],[refute_0_1736,refute_0_1737]) ).
cnf(refute_0_1739,plain,
( multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186)) != multiply(inverse(X_10),add(X_184,X_186))
| add(X_10,multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))) != add(X_10,add(multiply(X_184,inverse(X_10)),X_186))
| add(X_10,multiply(inverse(X_10),add(X_184,X_186))) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))),add(X_10,add(multiply(X_184,inverse(X_10)),X_186))) ),[0,1],$fot(multiply(inverse(X_10),add(X_184,X_186)))]]) ).
cnf(refute_0_1740,plain,
( add(X_10,multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))) != add(X_10,add(multiply(X_184,inverse(X_10)),X_186))
| add(X_10,multiply(inverse(X_10),add(X_184,X_186))) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186)),multiply(inverse(X_10),add(X_184,X_186))) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
add(X_10,multiply(inverse(X_10),add(X_184,X_186))) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(multiply(X_184,inverse(X_10)),X_186))),add(X_10,add(multiply(X_184,inverse(X_10)),X_186))) )],[refute_0_1735,refute_0_1740]) ).
cnf(refute_0_1742,plain,
add(X_10,multiply(inverse(X_10),add(X_184,X_186))) = add(X_10,add(X_184,X_186)),
inference(subst,[],[refute_0_86:[bind(X_12,$fot(add(X_184,X_186)))]]) ).
cnf(refute_0_1743,plain,
( add(X_10,multiply(inverse(X_10),add(X_184,X_186))) != add(X_10,add(X_184,X_186))
| add(X_10,multiply(inverse(X_10),add(X_184,X_186))) != add(X_10,add(multiply(X_184,inverse(X_10)),X_186))
| add(X_10,add(X_184,X_186)) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(X_184,X_186))),add(X_10,add(multiply(X_184,inverse(X_10)),X_186))) ),[0],$fot(add(X_10,add(X_184,X_186)))]]) ).
cnf(refute_0_1744,plain,
( add(X_10,multiply(inverse(X_10),add(X_184,X_186))) != add(X_10,add(multiply(X_184,inverse(X_10)),X_186))
| add(X_10,add(X_184,X_186)) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(X_184,X_186))),add(X_10,add(X_184,X_186))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
add(X_10,add(X_184,X_186)) = add(X_10,add(multiply(X_184,inverse(X_10)),X_186)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(X_184,X_186))),add(X_10,add(multiply(X_184,inverse(X_10)),X_186))) )],[refute_0_1741,refute_0_1744]) ).
cnf(refute_0_1746,plain,
add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),add(multiply(X_403,inverse(add(X_191,X_403))),X_404)),
inference(subst,[],[refute_0_1745:[bind(X_10,$fot(add(X_191,X_403))),bind(X_184,$fot(X_403)),bind(X_186,$fot(X_404))]]) ).
cnf(refute_0_1747,plain,
multiply(X_403,inverse(add(X_191,X_403))) = additive_identity,
inference(subst,[],[refute_0_1074:[bind(X_190,$fot(X_403))]]) ).
cnf(refute_0_1748,plain,
( multiply(X_403,inverse(add(X_191,X_403))) != additive_identity
| add(add(X_191,X_403),add(X_403,X_404)) != add(add(X_191,X_403),add(multiply(X_403,inverse(add(X_191,X_403))),X_404))
| add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),add(additive_identity,X_404)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_191,X_403),add(X_403,X_404)),add(add(X_191,X_403),add(multiply(X_403,inverse(add(X_191,X_403))),X_404))) ),[1,1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1749,plain,
( add(add(X_191,X_403),add(X_403,X_404)) != add(add(X_191,X_403),add(multiply(X_403,inverse(add(X_191,X_403))),X_404))
| add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),add(additive_identity,X_404)) ),
inference(resolve,[$cnf( $equal(multiply(X_403,inverse(add(X_191,X_403))),additive_identity) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),add(additive_identity,X_404)),
inference(resolve,[$cnf( $equal(add(add(X_191,X_403),add(X_403,X_404)),add(add(X_191,X_403),add(multiply(X_403,inverse(add(X_191,X_403))),X_404))) )],[refute_0_1746,refute_0_1749]) ).
cnf(refute_0_1751,plain,
add(additive_identity,X_404) = X_404,
inference(subst,[],[refute_0_106:[bind(X,$fot(X_404))]]) ).
cnf(refute_0_1752,plain,
add(add(X_191,X_403),add(additive_identity,X_404)) = add(add(X_191,X_403),add(additive_identity,X_404)),
introduced(tautology,[refl,[$fot(add(add(X_191,X_403),add(additive_identity,X_404)))]]) ).
cnf(refute_0_1753,plain,
( add(add(X_191,X_403),add(additive_identity,X_404)) != add(add(X_191,X_403),add(additive_identity,X_404))
| add(additive_identity,X_404) != X_404
| add(add(X_191,X_403),add(additive_identity,X_404)) = add(add(X_191,X_403),X_404) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_191,X_403),add(additive_identity,X_404)),add(add(X_191,X_403),add(additive_identity,X_404))) ),[1,1],$fot(X_404)]]) ).
cnf(refute_0_1754,plain,
( add(additive_identity,X_404) != X_404
| add(add(X_191,X_403),add(additive_identity,X_404)) = add(add(X_191,X_403),X_404) ),
inference(resolve,[$cnf( $equal(add(add(X_191,X_403),add(additive_identity,X_404)),add(add(X_191,X_403),add(additive_identity,X_404))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
add(add(X_191,X_403),add(additive_identity,X_404)) = add(add(X_191,X_403),X_404),
inference(resolve,[$cnf( $equal(add(additive_identity,X_404),X_404) )],[refute_0_1751,refute_0_1754]) ).
cnf(refute_0_1756,plain,
( add(add(X_191,X_403),add(X_403,X_404)) != add(add(X_191,X_403),add(additive_identity,X_404))
| add(add(X_191,X_403),add(additive_identity,X_404)) != add(add(X_191,X_403),X_404)
| add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),X_404) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_191,X_403),add(X_403,X_404)),add(add(X_191,X_403),X_404)) ),[0],$fot(add(add(X_191,X_403),add(additive_identity,X_404)))]]) ).
cnf(refute_0_1757,plain,
( add(add(X_191,X_403),add(X_403,X_404)) != add(add(X_191,X_403),add(additive_identity,X_404))
| add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),X_404) ),
inference(resolve,[$cnf( $equal(add(add(X_191,X_403),add(additive_identity,X_404)),add(add(X_191,X_403),X_404)) )],[refute_0_1755,refute_0_1756]) ).
cnf(refute_0_1758,plain,
add(add(X_191,X_403),add(X_403,X_404)) = add(add(X_191,X_403),X_404),
inference(resolve,[$cnf( $equal(add(add(X_191,X_403),add(X_403,X_404)),add(add(X_191,X_403),add(additive_identity,X_404))) )],[refute_0_1750,refute_0_1757]) ).
cnf(refute_0_1759,plain,
add(add(X_429,X_430),add(X_430,inverse(X_97))) = add(add(X_429,X_430),inverse(X_97)),
inference(subst,[],[refute_0_1758:[bind(X_191,$fot(X_429)),bind(X_403,$fot(X_430)),bind(X_404,$fot(inverse(X_97)))]]) ).
cnf(refute_0_1760,plain,
add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),add(multiply(X_403,inverse(add(X_403,X_22))),X_404)),
inference(subst,[],[refute_0_1745:[bind(X_10,$fot(add(X_403,X_22))),bind(X_184,$fot(X_403)),bind(X_186,$fot(X_404))]]) ).
cnf(refute_0_1761,plain,
multiply(X_403,inverse(add(X_403,X_22))) = additive_identity,
inference(subst,[],[refute_0_928:[bind(X_105,$fot(X_403))]]) ).
cnf(refute_0_1762,plain,
( multiply(X_403,inverse(add(X_403,X_22))) != additive_identity
| add(add(X_403,X_22),add(X_403,X_404)) != add(add(X_403,X_22),add(multiply(X_403,inverse(add(X_403,X_22))),X_404))
| add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),add(additive_identity,X_404)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_403,X_22),add(X_403,X_404)),add(add(X_403,X_22),add(multiply(X_403,inverse(add(X_403,X_22))),X_404))) ),[1,1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1763,plain,
( add(add(X_403,X_22),add(X_403,X_404)) != add(add(X_403,X_22),add(multiply(X_403,inverse(add(X_403,X_22))),X_404))
| add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),add(additive_identity,X_404)) ),
inference(resolve,[$cnf( $equal(multiply(X_403,inverse(add(X_403,X_22))),additive_identity) )],[refute_0_1761,refute_0_1762]) ).
cnf(refute_0_1764,plain,
add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),add(additive_identity,X_404)),
inference(resolve,[$cnf( $equal(add(add(X_403,X_22),add(X_403,X_404)),add(add(X_403,X_22),add(multiply(X_403,inverse(add(X_403,X_22))),X_404))) )],[refute_0_1760,refute_0_1763]) ).
cnf(refute_0_1765,plain,
add(add(X_403,X_22),add(additive_identity,X_404)) = add(add(X_403,X_22),add(additive_identity,X_404)),
introduced(tautology,[refl,[$fot(add(add(X_403,X_22),add(additive_identity,X_404)))]]) ).
cnf(refute_0_1766,plain,
( add(add(X_403,X_22),add(additive_identity,X_404)) != add(add(X_403,X_22),add(additive_identity,X_404))
| add(additive_identity,X_404) != X_404
| add(add(X_403,X_22),add(additive_identity,X_404)) = add(add(X_403,X_22),X_404) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_403,X_22),add(additive_identity,X_404)),add(add(X_403,X_22),add(additive_identity,X_404))) ),[1,1],$fot(X_404)]]) ).
cnf(refute_0_1767,plain,
( add(additive_identity,X_404) != X_404
| add(add(X_403,X_22),add(additive_identity,X_404)) = add(add(X_403,X_22),X_404) ),
inference(resolve,[$cnf( $equal(add(add(X_403,X_22),add(additive_identity,X_404)),add(add(X_403,X_22),add(additive_identity,X_404))) )],[refute_0_1765,refute_0_1766]) ).
cnf(refute_0_1768,plain,
add(add(X_403,X_22),add(additive_identity,X_404)) = add(add(X_403,X_22),X_404),
inference(resolve,[$cnf( $equal(add(additive_identity,X_404),X_404) )],[refute_0_1751,refute_0_1767]) ).
cnf(refute_0_1769,plain,
( add(add(X_403,X_22),add(X_403,X_404)) != add(add(X_403,X_22),add(additive_identity,X_404))
| add(add(X_403,X_22),add(additive_identity,X_404)) != add(add(X_403,X_22),X_404)
| add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),X_404) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_403,X_22),add(X_403,X_404)),add(add(X_403,X_22),X_404)) ),[0],$fot(add(add(X_403,X_22),add(additive_identity,X_404)))]]) ).
cnf(refute_0_1770,plain,
( add(add(X_403,X_22),add(X_403,X_404)) != add(add(X_403,X_22),add(additive_identity,X_404))
| add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),X_404) ),
inference(resolve,[$cnf( $equal(add(add(X_403,X_22),add(additive_identity,X_404)),add(add(X_403,X_22),X_404)) )],[refute_0_1768,refute_0_1769]) ).
cnf(refute_0_1771,plain,
add(add(X_403,X_22),add(X_403,X_404)) = add(add(X_403,X_22),X_404),
inference(resolve,[$cnf( $equal(add(add(X_403,X_22),add(X_403,X_404)),add(add(X_403,X_22),add(additive_identity,X_404))) )],[refute_0_1764,refute_0_1770]) ).
cnf(refute_0_1772,plain,
add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) = add(add(X_429,X_430),add(X_430,inverse(X_97))),
inference(subst,[],[refute_0_1771:[bind(X_22,$fot(X_430)),bind(X_403,$fot(X_429)),bind(X_404,$fot(add(X_430,inverse(X_97))))]]) ).
cnf(refute_0_1773,plain,
( add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) != add(add(X_429,X_430),add(X_430,inverse(X_97)))
| add(add(X_429,X_430),add(X_430,inverse(X_97))) != add(add(X_429,X_430),inverse(X_97))
| add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) = add(add(X_429,X_430),inverse(X_97)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))))),bind(Y0,$fot(add(add(X_429,X_430),add(X_430,inverse(X_97))))),bind(Z0,$fot(add(add(X_429,X_430),inverse(X_97))))]]) ).
cnf(refute_0_1774,plain,
( add(add(X_429,X_430),add(X_430,inverse(X_97))) != add(add(X_429,X_430),inverse(X_97))
| add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) = add(add(X_429,X_430),inverse(X_97)) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))),add(add(X_429,X_430),add(X_430,inverse(X_97)))) )],[refute_0_1772,refute_0_1773]) ).
cnf(refute_0_1775,plain,
add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) = add(add(X_429,X_430),inverse(X_97)),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),add(X_430,inverse(X_97))),add(add(X_429,X_430),inverse(X_97))) )],[refute_0_1759,refute_0_1774]) ).
cnf(refute_0_1776,plain,
add(X_429,inverse(X_64)) = inverse(multiply(inverse(X_429),inverse(inverse(X_64)))),
inference(subst,[],[refute_0_1713:[bind(X_10,$fot(X_429)),bind(X_76,$fot(inverse(X_64)))]]) ).
cnf(refute_0_1777,plain,
( add(X_429,inverse(X_64)) != inverse(multiply(inverse(X_429),inverse(inverse(X_64))))
| inverse(inverse(X_64)) != X_64
| add(X_429,inverse(X_64)) = inverse(multiply(inverse(X_429),X_64)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_429,inverse(X_64)),inverse(multiply(inverse(X_429),inverse(inverse(X_64))))) ),[1,0,1],$fot(X_64)]]) ).
cnf(refute_0_1778,plain,
( add(X_429,inverse(X_64)) != inverse(multiply(inverse(X_429),inverse(inverse(X_64))))
| add(X_429,inverse(X_64)) = inverse(multiply(inverse(X_429),X_64)) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_566,refute_0_1777]) ).
cnf(refute_0_1779,plain,
add(X_429,inverse(X_64)) = inverse(multiply(inverse(X_429),X_64)),
inference(resolve,[$cnf( $equal(add(X_429,inverse(X_64)),inverse(multiply(inverse(X_429),inverse(inverse(X_64))))) )],[refute_0_1776,refute_0_1778]) ).
cnf(refute_0_1780,plain,
( add(X_429,inverse(X_64)) != inverse(multiply(inverse(X_429),X_64))
| inverse(multiply(inverse(X_429),X_64)) = add(X_429,inverse(X_64)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_429,inverse(X_64)))),bind(Y0,$fot(inverse(multiply(inverse(X_429),X_64))))]]) ).
cnf(refute_0_1781,plain,
inverse(multiply(inverse(X_429),X_64)) = add(X_429,inverse(X_64)),
inference(resolve,[$cnf( $equal(add(X_429,inverse(X_64)),inverse(multiply(inverse(X_429),X_64))) )],[refute_0_1779,refute_0_1780]) ).
cnf(refute_0_1782,plain,
inverse(multiply(inverse(X_430),X_97)) = add(X_430,inverse(X_97)),
inference(subst,[],[refute_0_1781:[bind(X_429,$fot(X_430)),bind(X_64,$fot(X_97))]]) ).
cnf(refute_0_1783,plain,
add(X_429,inverse(multiply(inverse(X_430),X_97))) = add(X_429,inverse(multiply(inverse(X_430),X_97))),
introduced(tautology,[refl,[$fot(add(X_429,inverse(multiply(inverse(X_430),X_97))))]]) ).
cnf(refute_0_1784,plain,
( add(X_429,inverse(multiply(inverse(X_430),X_97))) != add(X_429,inverse(multiply(inverse(X_430),X_97)))
| inverse(multiply(inverse(X_430),X_97)) != add(X_430,inverse(X_97))
| add(X_429,inverse(multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_429,inverse(multiply(inverse(X_430),X_97))),add(X_429,inverse(multiply(inverse(X_430),X_97)))) ),[1,1],$fot(add(X_430,inverse(X_97)))]]) ).
cnf(refute_0_1785,plain,
( inverse(multiply(inverse(X_430),X_97)) != add(X_430,inverse(X_97))
| add(X_429,inverse(multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))) ),
inference(resolve,[$cnf( $equal(add(X_429,inverse(multiply(inverse(X_430),X_97))),add(X_429,inverse(multiply(inverse(X_430),X_97)))) )],[refute_0_1783,refute_0_1784]) ).
cnf(refute_0_1786,plain,
add(X_429,inverse(multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_430),X_97)),add(X_430,inverse(X_97))) )],[refute_0_1782,refute_0_1785]) ).
cnf(refute_0_1787,plain,
inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) = add(X_429,inverse(multiply(inverse(X_430),X_97))),
inference(subst,[],[refute_0_1781:[bind(X_64,$fot(multiply(inverse(X_430),X_97)))]]) ).
cnf(refute_0_1788,plain,
( add(X_429,inverse(multiply(inverse(X_430),X_97))) != add(X_429,add(X_430,inverse(X_97)))
| inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) != add(X_429,inverse(multiply(inverse(X_430),X_97)))
| inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))),bind(Y0,$fot(add(X_429,inverse(multiply(inverse(X_430),X_97))))),bind(Z0,$fot(add(X_429,add(X_430,inverse(X_97)))))]]) ).
cnf(refute_0_1789,plain,
( add(X_429,inverse(multiply(inverse(X_430),X_97))) != add(X_429,add(X_430,inverse(X_97)))
| inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))),add(X_429,inverse(multiply(inverse(X_430),X_97)))) )],[refute_0_1787,refute_0_1788]) ).
cnf(refute_0_1790,plain,
inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) = add(X_429,add(X_430,inverse(X_97))),
inference(resolve,[$cnf( $equal(add(X_429,inverse(multiply(inverse(X_430),X_97))),add(X_429,add(X_430,inverse(X_97)))) )],[refute_0_1786,refute_0_1789]) ).
cnf(refute_0_1791,plain,
add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),
introduced(tautology,[refl,[$fot(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))))]]) ).
cnf(refute_0_1792,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))
| inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) != add(X_429,add(X_430,inverse(X_97)))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))) ),[1,1],$fot(add(X_429,add(X_430,inverse(X_97))))]]) ).
cnf(refute_0_1793,plain,
( inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) != add(X_429,add(X_430,inverse(X_97)))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))) )],[refute_0_1791,refute_0_1792]) ).
cnf(refute_0_1794,plain,
add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))),add(X_429,add(X_430,inverse(X_97)))) )],[refute_0_1790,refute_0_1793]) ).
cnf(refute_0_1795,plain,
( add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) != add(add(X_429,X_430),inverse(X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97))))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),inverse(X_97)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))))),bind(Y0,$fot(add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))))),bind(Z0,$fot(add(add(X_429,X_430),inverse(X_97))))]]) ).
cnf(refute_0_1796,plain,
( add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))) != add(add(X_429,X_430),inverse(X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),inverse(X_97)) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97))))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) = add(add(X_429,X_430),inverse(X_97)),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),add(X_429,add(X_430,inverse(X_97)))),add(add(X_429,X_430),inverse(X_97))) )],[refute_0_1775,refute_0_1796]) ).
cnf(refute_0_1798,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != add(add(X_429,X_430),inverse(X_97))
| add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(X_97)) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) ),[0],$fot(add(add(X_429,X_430),inverse(X_97)))]]) ).
cnf(refute_0_1799,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(X_97)) = inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),add(add(X_429,X_430),inverse(X_97))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
( add(add(X_429,X_430),inverse(X_97)) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))) != add(X_429,add(X_430,inverse(X_97)))
| add(add(X_429,X_430),inverse(X_97)) = add(X_429,add(X_430,inverse(X_97))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(add(X_429,X_430),inverse(X_97)),add(X_429,add(X_430,inverse(X_97)))) ),[0],$fot(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))))]]) ).
cnf(refute_0_1801,plain,
( add(add(X_429,X_430),inverse(X_97)) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(X_97)) = add(X_429,add(X_430,inverse(X_97))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97))),add(X_429,add(X_430,inverse(X_97)))) )],[refute_0_1790,refute_0_1800]) ).
cnf(refute_0_1802,plain,
( add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) != inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))
| add(add(X_429,X_430),inverse(X_97)) = add(X_429,add(X_430,inverse(X_97))) ),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(X_97)),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) )],[refute_0_1799,refute_0_1801]) ).
cnf(refute_0_1803,plain,
add(add(X_429,X_430),inverse(X_97)) = add(X_429,add(X_430,inverse(X_97))),
inference(resolve,[$cnf( $equal(add(add(X_429,X_430),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))),inverse(multiply(inverse(X_429),multiply(inverse(X_430),X_97)))) )],[refute_0_1734,refute_0_1802]) ).
cnf(refute_0_1804,plain,
add(add(Y,X_145),inverse(X_357)) = add(Y,add(X_145,inverse(X_357))),
inference(subst,[],[refute_0_1803:[bind(X_429,$fot(Y)),bind(X_430,$fot(X_145)),bind(X_97,$fot(X_357))]]) ).
cnf(refute_0_1805,plain,
add(add(add(Y,X_160),X_161),Y) = add(Y,add(add(Y,X_160),X_161)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(add(add(Y,X_160),X_161)))]]) ).
cnf(refute_0_1806,plain,
add(Y,add(add(Y,X_160),X_161)) = add(add(Y,X_160),X_161),
inference(subst,[],[refute_0_1635:[bind(X_145,$fot(X_160)),bind(X_147,$fot(X_161))]]) ).
cnf(refute_0_1807,plain,
( add(Y,add(add(Y,X_160),X_161)) != add(add(Y,X_160),X_161)
| add(add(add(Y,X_160),X_161),Y) != add(Y,add(add(Y,X_160),X_161))
| add(add(add(Y,X_160),X_161),Y) = add(add(Y,X_160),X_161) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(Y,X_160),X_161),Y),add(Y,add(add(Y,X_160),X_161))) ),[1],$fot(add(add(Y,X_160),X_161))]]) ).
cnf(refute_0_1808,plain,
( add(add(add(Y,X_160),X_161),Y) != add(Y,add(add(Y,X_160),X_161))
| add(add(add(Y,X_160),X_161),Y) = add(add(Y,X_160),X_161) ),
inference(resolve,[$cnf( $equal(add(Y,add(add(Y,X_160),X_161)),add(add(Y,X_160),X_161)) )],[refute_0_1806,refute_0_1807]) ).
cnf(refute_0_1809,plain,
add(add(add(Y,X_160),X_161),Y) = add(add(Y,X_160),X_161),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_160),X_161),Y),add(Y,add(add(Y,X_160),X_161))) )],[refute_0_1805,refute_0_1808]) ).
cnf(refute_0_1810,plain,
add(add(add(Y,X_160),X_161),Y) = add(Y,add(X_161,add(Y,X_160))),
inference(subst,[],[refute_0_1667:[bind(X_160,$fot(X_161)),bind(X_161,$fot(Y)),bind(X_22,$fot(add(Y,X_160)))]]) ).
cnf(refute_0_1811,plain,
( add(add(add(Y,X_160),X_161),Y) != add(Y,add(X_161,add(Y,X_160)))
| add(add(add(Y,X_160),X_161),Y) != add(add(Y,X_160),X_161)
| add(Y,add(X_161,add(Y,X_160))) = add(add(Y,X_160),X_161) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(add(Y,X_160),X_161),Y),add(add(Y,X_160),X_161)) ),[0],$fot(add(Y,add(X_161,add(Y,X_160))))]]) ).
cnf(refute_0_1812,plain,
( add(add(add(Y,X_160),X_161),Y) != add(add(Y,X_160),X_161)
| add(Y,add(X_161,add(Y,X_160))) = add(add(Y,X_160),X_161) ),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_160),X_161),Y),add(Y,add(X_161,add(Y,X_160)))) )],[refute_0_1810,refute_0_1811]) ).
cnf(refute_0_1813,plain,
add(Y,add(X_161,add(Y,X_160))) = add(add(Y,X_160),X_161),
inference(resolve,[$cnf( $equal(add(add(add(Y,X_160),X_161),Y),add(add(Y,X_160),X_161)) )],[refute_0_1809,refute_0_1812]) ).
cnf(refute_0_1814,plain,
add(Y,add(inverse(X_357),add(Y,X_145))) = add(add(Y,X_145),inverse(X_357)),
inference(subst,[],[refute_0_1813:[bind(X_160,$fot(X_145)),bind(X_161,$fot(inverse(X_357)))]]) ).
cnf(refute_0_1815,plain,
( add(Y,add(inverse(X_357),add(Y,X_145))) != add(add(Y,X_145),inverse(X_357))
| add(add(Y,X_145),inverse(X_357)) != add(Y,add(X_145,inverse(X_357)))
| add(Y,add(inverse(X_357),add(Y,X_145))) = add(Y,add(X_145,inverse(X_357))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(Y,add(inverse(X_357),add(Y,X_145))))),bind(Y0,$fot(add(add(Y,X_145),inverse(X_357)))),bind(Z0,$fot(add(Y,add(X_145,inverse(X_357)))))]]) ).
cnf(refute_0_1816,plain,
( add(add(Y,X_145),inverse(X_357)) != add(Y,add(X_145,inverse(X_357)))
| add(Y,add(inverse(X_357),add(Y,X_145))) = add(Y,add(X_145,inverse(X_357))) ),
inference(resolve,[$cnf( $equal(add(Y,add(inverse(X_357),add(Y,X_145))),add(add(Y,X_145),inverse(X_357))) )],[refute_0_1814,refute_0_1815]) ).
cnf(refute_0_1817,plain,
add(Y,add(inverse(X_357),add(Y,X_145))) = add(Y,add(X_145,inverse(X_357))),
inference(resolve,[$cnf( $equal(add(add(Y,X_145),inverse(X_357)),add(Y,add(X_145,inverse(X_357)))) )],[refute_0_1804,refute_0_1816]) ).
cnf(refute_0_1818,plain,
add(inverse(X_64),X_430) = inverse(multiply(inverse(inverse(X_64)),inverse(X_430))),
inference(subst,[],[refute_0_1713:[bind(X_10,$fot(inverse(X_64))),bind(X_76,$fot(X_430))]]) ).
cnf(refute_0_1819,plain,
( add(inverse(X_64),X_430) != inverse(multiply(inverse(inverse(X_64)),inverse(X_430)))
| inverse(inverse(X_64)) != X_64
| add(inverse(X_64),X_430) = inverse(multiply(X_64,inverse(X_430))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_64),X_430),inverse(multiply(inverse(inverse(X_64)),inverse(X_430)))) ),[1,0,0],$fot(X_64)]]) ).
cnf(refute_0_1820,plain,
( add(inverse(X_64),X_430) != inverse(multiply(inverse(inverse(X_64)),inverse(X_430)))
| add(inverse(X_64),X_430) = inverse(multiply(X_64,inverse(X_430))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_566,refute_0_1819]) ).
cnf(refute_0_1821,plain,
add(inverse(X_64),X_430) = inverse(multiply(X_64,inverse(X_430))),
inference(resolve,[$cnf( $equal(add(inverse(X_64),X_430),inverse(multiply(inverse(inverse(X_64)),inverse(X_430)))) )],[refute_0_1818,refute_0_1820]) ).
cnf(refute_0_1822,plain,
( add(inverse(X_64),X_430) != inverse(multiply(X_64,inverse(X_430)))
| inverse(multiply(X_64,inverse(X_430))) = add(inverse(X_64),X_430) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(inverse(X_64),X_430))),bind(Y0,$fot(inverse(multiply(X_64,inverse(X_430)))))]]) ).
cnf(refute_0_1823,plain,
inverse(multiply(X_64,inverse(X_430))) = add(inverse(X_64),X_430),
inference(resolve,[$cnf( $equal(add(inverse(X_64),X_430),inverse(multiply(X_64,inverse(X_430)))) )],[refute_0_1821,refute_0_1822]) ).
cnf(refute_0_1824,plain,
inverse(multiply(X_357,inverse(add(Y,X_145)))) = add(inverse(X_357),add(Y,X_145)),
inference(subst,[],[refute_0_1823:[bind(X_430,$fot(add(Y,X_145))),bind(X_64,$fot(X_357))]]) ).
cnf(refute_0_1825,plain,
add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),
introduced(tautology,[refl,[$fot(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))))]]) ).
cnf(refute_0_1826,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != add(Y,inverse(multiply(X_357,inverse(add(Y,X_145)))))
| inverse(multiply(X_357,inverse(add(Y,X_145)))) != add(inverse(X_357),add(Y,X_145))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(inverse(X_357),add(Y,X_145))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),add(Y,inverse(multiply(X_357,inverse(add(Y,X_145)))))) ),[1,1],$fot(add(inverse(X_357),add(Y,X_145)))]]) ).
cnf(refute_0_1827,plain,
( inverse(multiply(X_357,inverse(add(Y,X_145)))) != add(inverse(X_357),add(Y,X_145))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(inverse(X_357),add(Y,X_145))) ),
inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),add(Y,inverse(multiply(X_357,inverse(add(Y,X_145)))))) )],[refute_0_1825,refute_0_1826]) ).
cnf(refute_0_1828,plain,
add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(inverse(X_357),add(Y,X_145))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_357,inverse(add(Y,X_145)))),add(inverse(X_357),add(Y,X_145))) )],[refute_0_1824,refute_0_1827]) ).
cnf(refute_0_1829,plain,
( add(Y,add(inverse(X_357),add(Y,X_145))) != add(Y,add(X_145,inverse(X_357)))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != add(Y,add(inverse(X_357),add(Y,X_145)))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(X_145,inverse(X_357))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))))),bind(Y0,$fot(add(Y,add(inverse(X_357),add(Y,X_145))))),bind(Z0,$fot(add(Y,add(X_145,inverse(X_357)))))]]) ).
cnf(refute_0_1830,plain,
( add(Y,add(inverse(X_357),add(Y,X_145))) != add(Y,add(X_145,inverse(X_357)))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(X_145,inverse(X_357))) ),
inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),add(Y,add(inverse(X_357),add(Y,X_145)))) )],[refute_0_1828,refute_0_1829]) ).
cnf(refute_0_1831,plain,
add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) = add(Y,add(X_145,inverse(X_357))),
inference(resolve,[$cnf( $equal(add(Y,add(inverse(X_357),add(Y,X_145))),add(Y,add(X_145,inverse(X_357)))) )],[refute_0_1817,refute_0_1830]) ).
cnf(refute_0_1832,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != add(Y,add(X_145,inverse(X_357)))
| add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,add(X_145,inverse(X_357))) = inverse(multiply(X_357,inverse(add(Y,X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),inverse(multiply(X_357,inverse(add(Y,X_145))))) ),[0],$fot(add(Y,add(X_145,inverse(X_357))))]]) ).
cnf(refute_0_1833,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,add(X_145,inverse(X_357))) = inverse(multiply(X_357,inverse(add(Y,X_145)))) ),
inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),add(Y,add(X_145,inverse(X_357)))) )],[refute_0_1831,refute_0_1832]) ).
cnf(refute_0_1834,plain,
( add(Y,add(X_145,inverse(X_357))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| inverse(multiply(X_357,inverse(add(Y,X_145)))) != add(inverse(X_357),add(Y,X_145))
| add(Y,add(X_145,inverse(X_357))) = add(inverse(X_357),add(Y,X_145)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(Y,add(X_145,inverse(X_357))),add(inverse(X_357),add(Y,X_145))) ),[0],$fot(inverse(multiply(X_357,inverse(add(Y,X_145)))))]]) ).
cnf(refute_0_1835,plain,
( add(Y,add(X_145,inverse(X_357))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,add(X_145,inverse(X_357))) = add(inverse(X_357),add(Y,X_145)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_357,inverse(add(Y,X_145)))),add(inverse(X_357),add(Y,X_145))) )],[refute_0_1824,refute_0_1834]) ).
cnf(refute_0_1836,plain,
( add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))) != inverse(multiply(X_357,inverse(add(Y,X_145))))
| add(Y,add(X_145,inverse(X_357))) = add(inverse(X_357),add(Y,X_145)) ),
inference(resolve,[$cnf( $equal(add(Y,add(X_145,inverse(X_357))),inverse(multiply(X_357,inverse(add(Y,X_145))))) )],[refute_0_1833,refute_0_1835]) ).
cnf(refute_0_1837,plain,
add(Y,add(X_145,inverse(X_357))) = add(inverse(X_357),add(Y,X_145)),
inference(resolve,[$cnf( $equal(add(Y,inverse(multiply(X_357,inverse(add(Y,X_145))))),inverse(multiply(X_357,inverse(add(Y,X_145))))) )],[refute_0_1687,refute_0_1836]) ).
cnf(refute_0_1838,plain,
( add(Y,add(X_145,inverse(X_357))) != add(inverse(X_357),add(Y,X_145))
| add(inverse(X_357),add(Y,X_145)) = add(Y,add(X_145,inverse(X_357))) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(Y,add(X_145,inverse(X_357))))),bind(Y0,$fot(add(inverse(X_357),add(Y,X_145))))]]) ).
cnf(refute_0_1839,plain,
add(inverse(X_357),add(Y,X_145)) = add(Y,add(X_145,inverse(X_357))),
inference(resolve,[$cnf( $equal(add(Y,add(X_145,inverse(X_357))),add(inverse(X_357),add(Y,X_145))) )],[refute_0_1837,refute_0_1838]) ).
cnf(refute_0_1840,plain,
add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) = add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))),
inference(subst,[],[refute_0_1839:[bind(Y,$fot(inverse(X_428))),bind(X_145,$fot(X_427)),bind(X_357,$fot(add(X_428,X_427)))]]) ).
cnf(refute_0_1841,plain,
( add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))) != add(X_427,inverse(X_428))
| add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) != add(inverse(X_428),add(X_427,inverse(add(X_428,X_427))))
| add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) = add(X_427,inverse(X_428)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)))),bind(Y0,$fot(add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))))),bind(Z0,$fot(add(X_427,inverse(X_428))))]]) ).
cnf(refute_0_1842,plain,
( add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))) != add(X_427,inverse(X_428))
| add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) = add(X_427,inverse(X_428)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)),add(inverse(X_428),add(X_427,inverse(add(X_428,X_427))))) )],[refute_0_1840,refute_0_1841]) ).
cnf(refute_0_1843,plain,
add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) = add(X_427,inverse(X_428)),
inference(resolve,[$cnf( $equal(add(inverse(X_428),add(X_427,inverse(add(X_428,X_427)))),add(X_427,inverse(X_428))) )],[refute_0_1679,refute_0_1842]) ).
cnf(refute_0_1844,plain,
inverse(multiply(X_428,inverse(X_427))) = add(inverse(X_428),X_427),
inference(subst,[],[refute_0_1823:[bind(X_430,$fot(X_427)),bind(X_64,$fot(X_428))]]) ).
cnf(refute_0_1845,plain,
add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),
introduced(tautology,[refl,[$fot(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))))]]) ).
cnf(refute_0_1846,plain,
( add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| inverse(multiply(X_428,inverse(X_427))) != add(inverse(X_428),X_427)
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) ),[1,1],$fot(add(inverse(X_428),X_427))]]) ).
cnf(refute_0_1847,plain,
( inverse(multiply(X_428,inverse(X_427))) != add(inverse(X_428),X_427)
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,inverse(X_427))),add(inverse(X_428),X_427)) )],[refute_0_1844,refute_0_1847]) ).
cnf(refute_0_1849,plain,
( add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) != add(X_427,inverse(X_428))
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) != add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427))
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(X_427,inverse(X_428)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))))),bind(Y0,$fot(add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)))),bind(Z0,$fot(add(X_427,inverse(X_428))))]]) ).
cnf(refute_0_1850,plain,
( add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)) != add(X_427,inverse(X_428))
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(X_427,inverse(X_428)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427))) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) = add(X_427,inverse(X_428)),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),add(inverse(X_428),X_427)),add(X_427,inverse(X_428))) )],[refute_0_1843,refute_0_1850]) ).
cnf(refute_0_1852,plain,
( add(X_427,inverse(add(X_428,X_427))) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))) != add(X_427,inverse(X_428))
| add(X_427,inverse(add(X_428,X_427))) = add(X_427,inverse(X_428)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_427,inverse(add(X_428,X_427))),add(X_427,inverse(X_428))) ),[0],$fot(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))))]]) ).
cnf(refute_0_1853,plain,
( add(X_427,inverse(add(X_428,X_427))) != add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))
| add(X_427,inverse(add(X_428,X_427))) = add(X_427,inverse(X_428)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427)))),add(X_427,inverse(X_428))) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
add(X_427,inverse(add(X_428,X_427))) = add(X_427,inverse(X_428)),
inference(resolve,[$cnf( $equal(add(X_427,inverse(add(X_428,X_427))),add(inverse(add(X_428,X_427)),inverse(multiply(X_428,inverse(X_427))))) )],[refute_0_1592,refute_0_1853]) ).
cnf(refute_0_1855,plain,
add(inverse(X_432),inverse(add(X_431,inverse(X_432)))) = add(inverse(X_432),inverse(X_431)),
inference(subst,[],[refute_0_1854:[bind(X_427,$fot(inverse(X_432))),bind(X_428,$fot(X_431))]]) ).
cnf(refute_0_1856,plain,
add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),
inference(subst,[],[refute_0_96:[bind(X,$fot(X_424)),bind(Z,$fot(inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),bind(X_19,$fot(X_426))]]) ).
cnf(refute_0_1857,plain,
multiply(inverse(X_424),X_426) = multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),
inference(subst,[],[refute_0_790:[bind(X_92,$fot(multiply(inverse(X_424),X_426)))]]) ).
cnf(refute_0_1858,plain,
( multiply(inverse(X_424),X_426) != multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))
| multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(inverse(X_424),X_426) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(inverse(X_424),X_426))),bind(Y0,$fot(multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))))]]) ).
cnf(refute_0_1859,plain,
multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(inverse(X_424),X_426),
inference(resolve,[$cnf( $equal(multiply(inverse(X_424),X_426),multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
( multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) != multiply(inverse(X_424),X_426)
| add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,multiply(inverse(X_424),X_426)) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) ),[0,1],$fot(multiply(inverse(X_424),X_426))]]) ).
cnf(refute_0_1861,plain,
( add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,multiply(inverse(X_424),X_426)) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),multiply(inverse(X_424),X_426)) )],[refute_0_1859,refute_0_1860]) ).
cnf(refute_0_1862,plain,
add(X_424,multiply(inverse(X_424),X_426)) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),
inference(resolve,[$cnf( $equal(add(X_424,multiply(multiply(inverse(X_424),X_426),inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) )],[refute_0_1856,refute_0_1861]) ).
cnf(refute_0_1863,plain,
add(X_424,multiply(inverse(X_424),X_426)) = add(X_424,X_426),
inference(subst,[],[refute_0_86:[bind(X_10,$fot(X_424)),bind(X_12,$fot(X_426))]]) ).
cnf(refute_0_1864,plain,
( add(X_424,multiply(inverse(X_424),X_426)) != add(X_424,X_426)
| add(X_424,multiply(inverse(X_424),X_426)) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,X_426) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_424,multiply(inverse(X_424),X_426)),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) ),[0],$fot(add(X_424,X_426))]]) ).
cnf(refute_0_1865,plain,
( add(X_424,multiply(inverse(X_424),X_426)) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,X_426) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) ),
inference(resolve,[$cnf( $equal(add(X_424,multiply(inverse(X_424),X_426)),add(X_424,X_426)) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
add(X_424,X_426) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),
inference(resolve,[$cnf( $equal(add(X_424,multiply(inverse(X_424),X_426)),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) )],[refute_0_1862,refute_0_1865]) ).
cnf(refute_0_1867,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_76))),
inference(subst,[],[refute_0_145:[bind(X_12,$fot(add(inverse(X_10),X_76)))]]) ).
cnf(refute_0_1868,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_76))) != multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_76)))
| add(X_10,add(inverse(X_10),X_76)) != multiplicative_identity
| add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = multiply(add(X_11,X_10),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_76))),multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_76)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1869,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_76))) != multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_76)))
| add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = multiply(add(X_11,X_10),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),X_76)),multiplicative_identity) )],[refute_0_1209,refute_0_1868]) ).
cnf(refute_0_1870,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = multiply(add(X_11,X_10),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_76))),multiply(add(X_11,X_10),add(X_10,add(inverse(X_10),X_76)))) )],[refute_0_1867,refute_0_1869]) ).
cnf(refute_0_1871,plain,
multiply(add(X_11,X_10),multiplicative_identity) = add(X_11,X_10),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_11,X_10)))]]) ).
cnf(refute_0_1872,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_76))) != multiply(add(X_11,X_10),multiplicative_identity)
| add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = add(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_76))),multiply(add(X_11,X_10),multiplicative_identity)) ),[1],$fot(add(X_11,X_10))]]) ).
cnf(refute_0_1873,plain,
( add(X_10,multiply(X_11,add(inverse(X_10),X_76))) != multiply(add(X_11,X_10),multiplicative_identity)
| add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = add(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_10),multiplicative_identity),add(X_11,X_10)) )],[refute_0_1871,refute_0_1872]) ).
cnf(refute_0_1874,plain,
add(X_10,multiply(X_11,add(inverse(X_10),X_76))) = add(X_11,X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,add(inverse(X_10),X_76))),multiply(add(X_11,X_10),multiplicative_identity)) )],[refute_0_1870,refute_0_1873]) ).
cnf(refute_0_1875,plain,
add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))) = add(X_426,X_424),
inference(subst,[],[refute_0_1874:[bind(X_10,$fot(X_424)),bind(X_11,$fot(X_426)),bind(X_76,$fot(inverse(Y)))]]) ).
cnf(refute_0_1876,plain,
multiply(X_185,add(X_184,X_186)) = multiply(X_185,add(multiply(X_184,X_185),X_186)),
inference(subst,[],[refute_0_1095:[bind(Y,$fot(X_184)),bind(X_63,$fot(X_185)),bind(X_64,$fot(X_186))]]) ).
cnf(refute_0_1877,plain,
add(X_186,multiply(X_184,X_185)) = add(multiply(X_184,X_185),X_186),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_186)),bind(Y,$fot(multiply(X_184,X_185)))]]) ).
cnf(refute_0_1878,plain,
( add(X_186,multiply(X_184,X_185)) != add(multiply(X_184,X_185),X_186)
| add(multiply(X_184,X_185),X_186) = add(X_186,multiply(X_184,X_185)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_186,multiply(X_184,X_185)))),bind(Y0,$fot(add(multiply(X_184,X_185),X_186)))]]) ).
cnf(refute_0_1879,plain,
add(multiply(X_184,X_185),X_186) = add(X_186,multiply(X_184,X_185)),
inference(resolve,[$cnf( $equal(add(X_186,multiply(X_184,X_185)),add(multiply(X_184,X_185),X_186)) )],[refute_0_1877,refute_0_1878]) ).
cnf(refute_0_1880,plain,
( multiply(X_185,add(X_184,X_186)) != multiply(X_185,add(multiply(X_184,X_185),X_186))
| add(multiply(X_184,X_185),X_186) != add(X_186,multiply(X_184,X_185))
| multiply(X_185,add(X_184,X_186)) = multiply(X_185,add(X_186,multiply(X_184,X_185))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_185,add(X_184,X_186)),multiply(X_185,add(multiply(X_184,X_185),X_186))) ),[1,1],$fot(add(X_186,multiply(X_184,X_185)))]]) ).
cnf(refute_0_1881,plain,
( multiply(X_185,add(X_184,X_186)) != multiply(X_185,add(multiply(X_184,X_185),X_186))
| multiply(X_185,add(X_184,X_186)) = multiply(X_185,add(X_186,multiply(X_184,X_185))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_184,X_185),X_186),add(X_186,multiply(X_184,X_185))) )],[refute_0_1879,refute_0_1880]) ).
cnf(refute_0_1882,plain,
multiply(X_185,add(X_184,X_186)) = multiply(X_185,add(X_186,multiply(X_184,X_185))),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_184,X_186)),multiply(X_185,add(multiply(X_184,X_185),X_186))) )],[refute_0_1876,refute_0_1881]) ).
cnf(refute_0_1883,plain,
( multiply(X_185,add(X_184,X_186)) != multiply(X_185,add(X_186,multiply(X_184,X_185)))
| multiply(X_185,add(X_186,multiply(X_184,X_185))) = multiply(X_185,add(X_184,X_186)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_185,add(X_184,X_186)))),bind(Y0,$fot(multiply(X_185,add(X_186,multiply(X_184,X_185)))))]]) ).
cnf(refute_0_1884,plain,
multiply(X_185,add(X_186,multiply(X_184,X_185))) = multiply(X_185,add(X_184,X_186)),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_184,X_186)),multiply(X_185,add(X_186,multiply(X_184,X_185)))) )],[refute_0_1882,refute_0_1883]) ).
cnf(refute_0_1885,plain,
multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))) = multiply(X_426,add(inverse(X_424),inverse(Y))),
inference(subst,[],[refute_0_1884:[bind(X_184,$fot(inverse(X_424))),bind(X_185,$fot(X_426)),bind(X_186,$fot(inverse(Y)))]]) ).
cnf(refute_0_1886,plain,
inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))) = add(inverse(Y),multiply(inverse(X_424),X_426)),
inference(subst,[],[refute_0_1823:[bind(X_430,$fot(multiply(inverse(X_424),X_426))),bind(X_64,$fot(Y))]]) ).
cnf(refute_0_1887,plain,
multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),
introduced(tautology,[refl,[$fot(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))]]) ).
cnf(refute_0_1888,plain,
( multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) != multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))
| inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))) != add(inverse(Y),multiply(inverse(X_424),X_426))
| multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) ),[1,1],$fot(add(inverse(Y),multiply(inverse(X_424),X_426)))]]) ).
cnf(refute_0_1889,plain,
( inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))) != add(inverse(Y),multiply(inverse(X_424),X_426))
| multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))) ),
inference(resolve,[$cnf( $equal(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) )],[refute_0_1887,refute_0_1888]) ).
cnf(refute_0_1890,plain,
multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))),
inference(resolve,[$cnf( $equal(inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))),add(inverse(Y),multiply(inverse(X_424),X_426))) )],[refute_0_1886,refute_0_1889]) ).
cnf(refute_0_1891,plain,
( multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))) != multiply(X_426,add(inverse(X_424),inverse(Y)))
| multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) != multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426)))
| multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(X_424),inverse(Y))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))),bind(Y0,$fot(multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))))),bind(Z0,$fot(multiply(X_426,add(inverse(X_424),inverse(Y)))))]]) ).
cnf(refute_0_1892,plain,
( multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))) != multiply(X_426,add(inverse(X_424),inverse(Y)))
| multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(X_424),inverse(Y))) ),
inference(resolve,[$cnf( $equal(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426)))) )],[refute_0_1890,refute_0_1891]) ).
cnf(refute_0_1893,plain,
multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) = multiply(X_426,add(inverse(X_424),inverse(Y))),
inference(resolve,[$cnf( $equal(multiply(X_426,add(inverse(Y),multiply(inverse(X_424),X_426))),multiply(X_426,add(inverse(X_424),inverse(Y)))) )],[refute_0_1885,refute_0_1892]) ).
cnf(refute_0_1894,plain,
add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),
introduced(tautology,[refl,[$fot(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))))]]) ).
cnf(refute_0_1895,plain,
( multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) != multiply(X_426,add(inverse(X_424),inverse(Y)))
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) ),[1,1],$fot(multiply(X_426,add(inverse(X_424),inverse(Y))))]]) ).
cnf(refute_0_1896,plain,
( multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))) != multiply(X_426,add(inverse(X_424),inverse(Y)))
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))) ),
inference(resolve,[$cnf( $equal(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) )],[refute_0_1894,refute_0_1895]) ).
cnf(refute_0_1897,plain,
add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))),
inference(resolve,[$cnf( $equal(multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))),multiply(X_426,add(inverse(X_424),inverse(Y)))) )],[refute_0_1893,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))) != add(X_426,X_424)
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) != add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y))))
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_426,X_424) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))))),bind(Y0,$fot(add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))))),bind(Z0,$fot(add(X_426,X_424)))]]) ).
cnf(refute_0_1899,plain,
( add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))) != add(X_426,X_424)
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_426,X_424) ),
inference(resolve,[$cnf( $equal(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y))))) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) = add(X_426,X_424),
inference(resolve,[$cnf( $equal(add(X_424,multiply(X_426,add(inverse(X_424),inverse(Y)))),add(X_426,X_424)) )],[refute_0_1875,refute_0_1899]) ).
cnf(refute_0_1901,plain,
( add(X_424,X_426) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))) != add(X_426,X_424)
| add(X_424,X_426) = add(X_426,X_424) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_424,X_426),add(X_426,X_424)) ),[0],$fot(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))))]]) ).
cnf(refute_0_1902,plain,
( add(X_424,X_426) != add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))
| add(X_424,X_426) = add(X_426,X_424) ),
inference(resolve,[$cnf( $equal(add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426)))))),add(X_426,X_424)) )],[refute_0_1900,refute_0_1901]) ).
cnf(refute_0_1903,plain,
add(X_424,X_426) = add(X_426,X_424),
inference(resolve,[$cnf( $equal(add(X_424,X_426),add(X_424,multiply(X_426,inverse(multiply(Y,inverse(multiply(inverse(X_424),X_426))))))) )],[refute_0_1866,refute_0_1902]) ).
cnf(refute_0_1904,plain,
( add(X_424,X_426) != add(X_426,X_424)
| add(X_426,X_424) = add(X_424,X_426) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(X_424,X_426))),bind(Y0,$fot(add(X_426,X_424)))]]) ).
cnf(refute_0_1905,plain,
add(X_426,X_424) = add(X_424,X_426),
inference(resolve,[$cnf( $equal(add(X_424,X_426),add(X_426,X_424)) )],[refute_0_1903,refute_0_1904]) ).
cnf(refute_0_1906,plain,
add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(X_432),inverse(add(X_431,inverse(X_432)))),
inference(subst,[],[refute_0_1905:[bind(X_424,$fot(inverse(X_432))),bind(X_426,$fot(inverse(add(X_431,inverse(X_432)))))]]) ).
cnf(refute_0_1907,plain,
( add(inverse(X_432),inverse(add(X_431,inverse(X_432)))) != add(inverse(X_432),inverse(X_431))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) != add(inverse(X_432),inverse(add(X_431,inverse(X_432))))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(X_432),inverse(X_431)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(add(X_431,inverse(X_432))),inverse(X_432)))),bind(Y0,$fot(add(inverse(X_432),inverse(add(X_431,inverse(X_432)))))),bind(Z0,$fot(add(inverse(X_432),inverse(X_431))))]]) ).
cnf(refute_0_1908,plain,
( add(inverse(X_432),inverse(add(X_431,inverse(X_432)))) != add(inverse(X_432),inverse(X_431))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(X_432),inverse(X_431)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(X_432)),add(inverse(X_432),inverse(add(X_431,inverse(X_432))))) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) = add(inverse(X_432),inverse(X_431)),
inference(resolve,[$cnf( $equal(add(inverse(X_432),inverse(add(X_431,inverse(X_432)))),add(inverse(X_432),inverse(X_431))) )],[refute_0_1855,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) != add(inverse(X_432),inverse(X_431))
| add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(X_432),inverse(X_431)) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(X_432)),add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))) ),[0],$fot(add(inverse(X_432),inverse(X_431)))]]) ).
cnf(refute_0_1911,plain,
( add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(X_432),inverse(X_431)) = add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(X_432)),add(inverse(X_432),inverse(X_431))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
add(inverse(X_63),multiply(X_63,inverse(add(X_63,X_193)))) = add(inverse(X_63),inverse(add(X_63,X_193))),
inference(subst,[],[refute_0_154:[bind(X_64,$fot(inverse(add(X_63,X_193))))]]) ).
cnf(refute_0_1913,plain,
multiply(X_63,inverse(add(X_63,X_193))) = additive_identity,
inference(subst,[],[refute_0_928:[bind(X_105,$fot(X_63)),bind(X_22,$fot(X_193))]]) ).
cnf(refute_0_1914,plain,
( multiply(X_63,inverse(add(X_63,X_193))) != additive_identity
| add(inverse(X_63),multiply(X_63,inverse(add(X_63,X_193)))) != add(inverse(X_63),inverse(add(X_63,X_193)))
| add(inverse(X_63),additive_identity) = add(inverse(X_63),inverse(add(X_63,X_193))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_63),multiply(X_63,inverse(add(X_63,X_193)))),add(inverse(X_63),inverse(add(X_63,X_193)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1915,plain,
( add(inverse(X_63),multiply(X_63,inverse(add(X_63,X_193)))) != add(inverse(X_63),inverse(add(X_63,X_193)))
| add(inverse(X_63),additive_identity) = add(inverse(X_63),inverse(add(X_63,X_193))) ),
inference(resolve,[$cnf( $equal(multiply(X_63,inverse(add(X_63,X_193))),additive_identity) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
add(inverse(X_63),additive_identity) = add(inverse(X_63),inverse(add(X_63,X_193))),
inference(resolve,[$cnf( $equal(add(inverse(X_63),multiply(X_63,inverse(add(X_63,X_193)))),add(inverse(X_63),inverse(add(X_63,X_193)))) )],[refute_0_1912,refute_0_1915]) ).
cnf(refute_0_1917,plain,
add(additive_identity,inverse(X_63)) = inverse(X_63),
inference(subst,[],[refute_0_106:[bind(X,$fot(inverse(X_63)))]]) ).
cnf(refute_0_1918,plain,
add(inverse(X_63),additive_identity) = add(additive_identity,inverse(X_63)),
inference(subst,[],[refute_0_940:[bind(X_77,$fot(X_63)),bind(X_78,$fot(additive_identity))]]) ).
cnf(refute_0_1919,plain,
( add(additive_identity,inverse(X_63)) != inverse(X_63)
| add(inverse(X_63),additive_identity) != add(additive_identity,inverse(X_63))
| add(inverse(X_63),additive_identity) = inverse(X_63) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(X_63),additive_identity))),bind(Y0,$fot(add(additive_identity,inverse(X_63)))),bind(Z0,$fot(inverse(X_63)))]]) ).
cnf(refute_0_1920,plain,
( add(additive_identity,inverse(X_63)) != inverse(X_63)
| add(inverse(X_63),additive_identity) = inverse(X_63) ),
inference(resolve,[$cnf( $equal(add(inverse(X_63),additive_identity),add(additive_identity,inverse(X_63))) )],[refute_0_1918,refute_0_1919]) ).
cnf(refute_0_1921,plain,
add(inverse(X_63),additive_identity) = inverse(X_63),
inference(resolve,[$cnf( $equal(add(additive_identity,inverse(X_63)),inverse(X_63)) )],[refute_0_1917,refute_0_1920]) ).
cnf(refute_0_1922,plain,
( add(inverse(X_63),additive_identity) != add(inverse(X_63),inverse(add(X_63,X_193)))
| add(inverse(X_63),additive_identity) != inverse(X_63)
| inverse(X_63) = add(inverse(X_63),inverse(add(X_63,X_193))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_63),additive_identity),add(inverse(X_63),inverse(add(X_63,X_193)))) ),[0],$fot(inverse(X_63))]]) ).
cnf(refute_0_1923,plain,
( add(inverse(X_63),additive_identity) != add(inverse(X_63),inverse(add(X_63,X_193)))
| inverse(X_63) = add(inverse(X_63),inverse(add(X_63,X_193))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_63),additive_identity),inverse(X_63)) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
inverse(X_63) = add(inverse(X_63),inverse(add(X_63,X_193))),
inference(resolve,[$cnf( $equal(add(inverse(X_63),additive_identity),add(inverse(X_63),inverse(add(X_63,X_193)))) )],[refute_0_1916,refute_0_1923]) ).
cnf(refute_0_1925,plain,
inverse(multiply(X_78,X_77)) = add(inverse(multiply(X_78,X_77)),inverse(add(multiply(X_78,X_77),add(X_78,inverse(X_77))))),
inference(subst,[],[refute_0_1924:[bind(X_193,$fot(add(X_78,inverse(X_77)))),bind(X_63,$fot(multiply(X_78,X_77)))]]) ).
cnf(refute_0_1926,plain,
multiply(X_78,X_77) = multiply(X_77,X_78),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_78)),bind(Y,$fot(X_77))]]) ).
cnf(refute_0_1927,plain,
( multiply(X_78,X_77) != multiply(X_77,X_78)
| multiply(X_77,X_78) = multiply(X_78,X_77) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiply(X_78,X_77))),bind(Y0,$fot(multiply(X_77,X_78)))]]) ).
cnf(refute_0_1928,plain,
multiply(X_77,X_78) = multiply(X_78,X_77),
inference(resolve,[$cnf( $equal(multiply(X_78,X_77),multiply(X_77,X_78)) )],[refute_0_1926,refute_0_1927]) ).
cnf(refute_0_1929,plain,
( multiply(X_77,X_78) != multiply(X_78,X_77)
| add(multiply(X_77,X_78),add(X_78,inverse(X_77))) != add(X_78,inverse(X_77))
| add(multiply(X_78,X_77),add(X_78,inverse(X_77))) = add(X_78,inverse(X_77)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_77,X_78),add(X_78,inverse(X_77))),add(X_78,inverse(X_77))) ),[0,0],$fot(multiply(X_78,X_77))]]) ).
cnf(refute_0_1930,plain,
( add(multiply(X_77,X_78),add(X_78,inverse(X_77))) != add(X_78,inverse(X_77))
| add(multiply(X_78,X_77),add(X_78,inverse(X_77))) = add(X_78,inverse(X_77)) ),
inference(resolve,[$cnf( $equal(multiply(X_77,X_78),multiply(X_78,X_77)) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
add(multiply(X_78,X_77),add(X_78,inverse(X_77))) = add(X_78,inverse(X_77)),
inference(resolve,[$cnf( $equal(add(multiply(X_77,X_78),add(X_78,inverse(X_77))),add(X_78,inverse(X_77))) )],[refute_0_939,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( add(multiply(X_78,X_77),add(X_78,inverse(X_77))) != add(X_78,inverse(X_77))
| inverse(multiply(X_78,X_77)) != add(inverse(multiply(X_78,X_77)),inverse(add(multiply(X_78,X_77),add(X_78,inverse(X_77)))))
| inverse(multiply(X_78,X_77)) = add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_78,X_77)),add(inverse(multiply(X_78,X_77)),inverse(add(multiply(X_78,X_77),add(X_78,inverse(X_77)))))) ),[1,1,0],$fot(add(X_78,inverse(X_77)))]]) ).
cnf(refute_0_1933,plain,
( inverse(multiply(X_78,X_77)) != add(inverse(multiply(X_78,X_77)),inverse(add(multiply(X_78,X_77),add(X_78,inverse(X_77)))))
| inverse(multiply(X_78,X_77)) = add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_78,X_77),add(X_78,inverse(X_77))),add(X_78,inverse(X_77))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
inverse(multiply(X_78,X_77)) = add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_78,X_77)),add(inverse(multiply(X_78,X_77)),inverse(add(multiply(X_78,X_77),add(X_78,inverse(X_77)))))) )],[refute_0_1925,refute_0_1933]) ).
cnf(refute_0_1935,plain,
( inverse(multiply(X_78,X_77)) != add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77))))
| add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77)))) = inverse(multiply(X_78,X_77)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(multiply(X_78,X_77)))),bind(Y0,$fot(add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77))))))]]) ).
cnf(refute_0_1936,plain,
add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77)))) = inverse(multiply(X_78,X_77)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_78,X_77)),add(inverse(multiply(X_78,X_77)),inverse(add(X_78,inverse(X_77))))) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))) = inverse(multiply(X_431,X_432)),
inference(subst,[],[refute_0_1936:[bind(X_77,$fot(X_432)),bind(X_78,$fot(X_431))]]) ).
cnf(refute_0_1938,plain,
add(X_181,inverse(multiply(X_97,X_428))) = multiply(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))),
inference(subst,[],[refute_0_809:[bind(X_424,$fot(add(X_181,inverse(multiply(X_97,X_428))))),bind(X_426,$fot(X_428))]]) ).
cnf(refute_0_1939,plain,
add(multiply(multiply(X_139,X_140),add(X_140,X_141)),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) = add(add(X_140,X_141),inverse(multiply(X_139,X_140))),
inference(subst,[],[refute_0_938:[bind(Y,$fot(multiply(X_139,X_140))),bind(X_58,$fot(add(X_140,X_141)))]]) ).
cnf(refute_0_1940,plain,
multiply(multiply(X_139,X_140),add(X_140,X_141)) = multiply(X_139,X_140),
inference(subst,[],[refute_0_853:[bind(Y,$fot(X_139)),bind(X_136,$fot(X_140)),bind(X_138,$fot(X_141))]]) ).
cnf(refute_0_1941,plain,
( multiply(multiply(X_139,X_140),add(X_140,X_141)) != multiply(X_139,X_140)
| add(multiply(multiply(X_139,X_140),add(X_140,X_141)),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) != add(add(X_140,X_141),inverse(multiply(X_139,X_140)))
| add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) = add(add(X_140,X_141),inverse(multiply(X_139,X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_139,X_140),add(X_140,X_141)),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) ),[0,0],$fot(multiply(X_139,X_140))]]) ).
cnf(refute_0_1942,plain,
( add(multiply(multiply(X_139,X_140),add(X_140,X_141)),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) != add(add(X_140,X_141),inverse(multiply(X_139,X_140)))
| add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) = add(add(X_140,X_141),inverse(multiply(X_139,X_140))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_139,X_140),add(X_140,X_141)),multiply(X_139,X_140)) )],[refute_0_1940,refute_0_1941]) ).
cnf(refute_0_1943,plain,
add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) = add(add(X_140,X_141),inverse(multiply(X_139,X_140))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_139,X_140),add(X_140,X_141)),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) )],[refute_0_1939,refute_0_1942]) ).
cnf(refute_0_1944,plain,
add(X_10,multiply(inverse(X_10),add(X_34,inverse(X_10)))) = add(X_10,add(X_34,inverse(X_10))),
inference(subst,[],[refute_0_86:[bind(X_12,$fot(add(X_34,inverse(X_10))))]]) ).
cnf(refute_0_1945,plain,
add(inverse(X_10),multiply(X_34,additive_identity)) = multiply(inverse(X_10),add(X_34,inverse(X_10))),
inference(subst,[],[refute_0_171:[bind(X_21,$fot(inverse(X_10))),bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_1946,plain,
( add(inverse(X_10),multiply(X_34,additive_identity)) != multiply(inverse(X_10),add(X_34,inverse(X_10)))
| multiply(inverse(X_10),add(X_34,inverse(X_10))) = add(inverse(X_10),multiply(X_34,additive_identity)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(add(inverse(X_10),multiply(X_34,additive_identity)))),bind(Y0,$fot(multiply(inverse(X_10),add(X_34,inverse(X_10)))))]]) ).
cnf(refute_0_1947,plain,
multiply(inverse(X_10),add(X_34,inverse(X_10))) = add(inverse(X_10),multiply(X_34,additive_identity)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_34,additive_identity)),multiply(inverse(X_10),add(X_34,inverse(X_10)))) )],[refute_0_1945,refute_0_1946]) ).
cnf(refute_0_1948,plain,
( multiply(inverse(X_10),add(X_34,inverse(X_10))) != add(inverse(X_10),multiply(X_34,additive_identity))
| add(X_10,multiply(inverse(X_10),add(X_34,inverse(X_10)))) != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) = add(X_10,add(X_34,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(X_34,inverse(X_10)))),add(X_10,add(X_34,inverse(X_10)))) ),[0,1],$fot(add(inverse(X_10),multiply(X_34,additive_identity)))]]) ).
cnf(refute_0_1949,plain,
( add(X_10,multiply(inverse(X_10),add(X_34,inverse(X_10)))) != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) = add(X_10,add(X_34,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),add(X_34,inverse(X_10))),add(inverse(X_10),multiply(X_34,additive_identity))) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) = add(X_10,add(X_34,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),add(X_34,inverse(X_10)))),add(X_10,add(X_34,inverse(X_10)))) )],[refute_0_1944,refute_0_1949]) ).
cnf(refute_0_1951,plain,
add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) = add(X_10,add(inverse(X_10),X_34)),
inference(subst,[],[refute_0_1188:[bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_1952,plain,
( add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) != add(X_10,add(inverse(X_10),X_34))
| add(X_10,add(inverse(X_10),X_34)) = add(X_10,add(X_34,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))),add(X_10,add(X_34,inverse(X_10)))) ),[0],$fot(add(X_10,add(inverse(X_10),X_34)))]]) ).
cnf(refute_0_1953,plain,
( add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))) != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(inverse(X_10),X_34)) = add(X_10,add(X_34,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))),add(X_10,add(inverse(X_10),X_34))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
add(X_10,add(inverse(X_10),X_34)) = add(X_10,add(X_34,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),multiply(X_34,additive_identity))),add(X_10,add(X_34,inverse(X_10)))) )],[refute_0_1950,refute_0_1953]) ).
cnf(refute_0_1955,plain,
( multiplicative_identity != add(X_10,add(inverse(X_10),X_22))
| add(X_10,add(inverse(X_10),X_22)) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,add(inverse(X_10),X_22))))]]) ).
cnf(refute_0_1956,plain,
add(X_10,add(inverse(X_10),X_22)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,add(inverse(X_10),X_22))) )],[refute_0_1206,refute_0_1955]) ).
cnf(refute_0_1957,plain,
add(X_10,add(inverse(X_10),X_34)) = multiplicative_identity,
inference(subst,[],[refute_0_1956:[bind(X_22,$fot(X_34))]]) ).
cnf(refute_0_1958,plain,
( add(X_10,add(inverse(X_10),X_34)) != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(inverse(X_10),X_34)) != multiplicative_identity
| multiplicative_identity = add(X_10,add(X_34,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,add(inverse(X_10),X_34)),add(X_10,add(X_34,inverse(X_10)))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1959,plain,
( add(X_10,add(inverse(X_10),X_34)) != add(X_10,add(X_34,inverse(X_10)))
| multiplicative_identity = add(X_10,add(X_34,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),X_34)),multiplicative_identity) )],[refute_0_1957,refute_0_1958]) ).
cnf(refute_0_1960,plain,
multiplicative_identity = add(X_10,add(X_34,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(X_10,add(inverse(X_10),X_34)),add(X_10,add(X_34,inverse(X_10)))) )],[refute_0_1954,refute_0_1959]) ).
cnf(refute_0_1961,plain,
( multiplicative_identity != add(X_10,add(X_34,inverse(X_10)))
| add(X_10,add(X_34,inverse(X_10))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_10,add(X_34,inverse(X_10)))))]]) ).
cnf(refute_0_1962,plain,
add(X_10,add(X_34,inverse(X_10))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_10,add(X_34,inverse(X_10)))) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) = multiplicative_identity,
inference(subst,[],[refute_0_1962:[bind(X_10,$fot(multiply(X_139,X_140))),bind(X_34,$fot(add(X_140,X_141)))]]) ).
cnf(refute_0_1964,plain,
( add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) != add(add(X_140,X_141),inverse(multiply(X_139,X_140)))
| add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) != multiplicative_identity
| multiplicative_identity = add(add(X_140,X_141),inverse(multiply(X_139,X_140))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1965,plain,
( add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) != add(add(X_140,X_141),inverse(multiply(X_139,X_140)))
| multiplicative_identity = add(add(X_140,X_141),inverse(multiply(X_139,X_140))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))),multiplicative_identity) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
multiplicative_identity = add(add(X_140,X_141),inverse(multiply(X_139,X_140))),
inference(resolve,[$cnf( $equal(add(multiply(X_139,X_140),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))),add(add(X_140,X_141),inverse(multiply(X_139,X_140)))) )],[refute_0_1943,refute_0_1965]) ).
cnf(refute_0_1967,plain,
multiplicative_identity = add(add(inverse(multiply(X_97,X_96)),X_181),inverse(multiply(inverse(X_96),inverse(multiply(X_97,X_96))))),
inference(subst,[],[refute_0_1966:[bind(X_139,$fot(inverse(X_96))),bind(X_140,$fot(inverse(multiply(X_97,X_96)))),bind(X_141,$fot(X_181))]]) ).
cnf(refute_0_1968,plain,
( inverse(X_96) != multiply(inverse(X_96),inverse(multiply(X_97,X_96)))
| multiply(inverse(X_96),inverse(multiply(X_97,X_96))) = inverse(X_96) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(X_96))),bind(Y0,$fot(multiply(inverse(X_96),inverse(multiply(X_97,X_96)))))]]) ).
cnf(refute_0_1969,plain,
multiply(inverse(X_96),inverse(multiply(X_97,X_96))) = inverse(X_96),
inference(resolve,[$cnf( $equal(inverse(X_96),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))) )],[refute_0_576,refute_0_1968]) ).
cnf(refute_0_1970,plain,
( multiply(inverse(X_96),inverse(multiply(X_97,X_96))) != inverse(X_96)
| multiplicative_identity != add(add(inverse(multiply(X_97,X_96)),X_181),inverse(multiply(inverse(X_96),inverse(multiply(X_97,X_96)))))
| multiplicative_identity = add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(inverse(multiply(X_97,X_96)),X_181),inverse(multiply(inverse(X_96),inverse(multiply(X_97,X_96)))))) ),[1,1,0],$fot(inverse(X_96))]]) ).
cnf(refute_0_1971,plain,
( multiplicative_identity != add(add(inverse(multiply(X_97,X_96)),X_181),inverse(multiply(inverse(X_96),inverse(multiply(X_97,X_96)))))
| multiplicative_identity = add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_96),inverse(multiply(X_97,X_96))),inverse(X_96)) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
multiplicative_identity = add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(inverse(multiply(X_97,X_96)),X_181),inverse(multiply(inverse(X_96),inverse(multiply(X_97,X_96)))))) )],[refute_0_1967,refute_0_1971]) ).
cnf(refute_0_1973,plain,
inverse(inverse(X_96)) = X_96,
inference(subst,[],[refute_0_566:[bind(X_64,$fot(X_96))]]) ).
cnf(refute_0_1974,plain,
add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) = add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))))]]) ).
cnf(refute_0_1975,plain,
( add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) != add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96))))
| inverse(inverse(X_96)) != X_96
| add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))),add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96))))) ),[1,0],$fot(X_96)]]) ).
cnf(refute_0_1976,plain,
( inverse(inverse(X_96)) != X_96
| add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))),add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96))))) )],[refute_0_1974,refute_0_1975]) ).
cnf(refute_0_1977,plain,
add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_96)),X_96) )],[refute_0_1973,refute_0_1976]) ).
cnf(refute_0_1978,plain,
add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) = add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))),
inference(subst,[],[refute_0_1667:[bind(X_160,$fot(X_181)),bind(X_161,$fot(inverse(inverse(X_96)))),bind(X_22,$fot(inverse(multiply(X_97,X_96))))]]) ).
cnf(refute_0_1979,plain,
( add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) != add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96))))
| add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) != add(X_96,add(X_181,inverse(multiply(X_97,X_96))))
| add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))))),bind(Y0,$fot(add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))))),bind(Z0,$fot(add(X_96,add(X_181,inverse(multiply(X_97,X_96))))))]]) ).
cnf(refute_0_1980,plain,
( add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))) != add(X_96,add(X_181,inverse(multiply(X_97,X_96))))
| add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))),add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96))))) )],[refute_0_1978,refute_0_1979]) ).
cnf(refute_0_1981,plain,
add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_96)),add(X_181,inverse(multiply(X_97,X_96)))),add(X_96,add(X_181,inverse(multiply(X_97,X_96))))) )],[refute_0_1977,refute_0_1980]) ).
cnf(refute_0_1982,plain,
( add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))) != add(X_96,add(X_181,inverse(multiply(X_97,X_96))))
| multiplicative_identity != add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96)))
| multiplicative_identity = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96)))) ),[1],$fot(add(X_96,add(X_181,inverse(multiply(X_97,X_96)))))]]) ).
cnf(refute_0_1983,plain,
( multiplicative_identity != add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96)))
| multiplicative_identity = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96))),add(X_96,add(X_181,inverse(multiply(X_97,X_96))))) )],[refute_0_1981,refute_0_1982]) ).
cnf(refute_0_1984,plain,
multiplicative_identity = add(X_96,add(X_181,inverse(multiply(X_97,X_96)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(inverse(multiply(X_97,X_96)),X_181),inverse(inverse(X_96)))) )],[refute_0_1972,refute_0_1983]) ).
cnf(refute_0_1985,plain,
multiplicative_identity = add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),
inference(subst,[],[refute_0_1984:[bind(X_96,$fot(X_428))]]) ).
cnf(refute_0_1986,plain,
( multiplicative_identity != add(X_428,add(X_181,inverse(multiply(X_97,X_428))))
| add(X_428,add(X_181,inverse(multiply(X_97,X_428)))) = multiplicative_identity ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_428,add(X_181,inverse(multiply(X_97,X_428))))))]]) ).
cnf(refute_0_1987,plain,
add(X_428,add(X_181,inverse(multiply(X_97,X_428)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_428,add(X_181,inverse(multiply(X_97,X_428))))) )],[refute_0_1985,refute_0_1986]) ).
cnf(refute_0_1988,plain,
( add(X_181,inverse(multiply(X_97,X_428))) != multiply(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))
| add(X_428,add(X_181,inverse(multiply(X_97,X_428)))) != multiplicative_identity
| add(X_181,inverse(multiply(X_97,X_428))) = multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_181,inverse(multiply(X_97,X_428))),multiply(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1989,plain,
( add(X_181,inverse(multiply(X_97,X_428))) != multiply(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))
| add(X_181,inverse(multiply(X_97,X_428))) = multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) ),
inference(resolve,[$cnf( $equal(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),multiplicative_identity) )],[refute_0_1987,refute_0_1988]) ).
cnf(refute_0_1990,plain,
add(X_181,inverse(multiply(X_97,X_428))) = multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))),
inference(resolve,[$cnf( $equal(add(X_181,inverse(multiply(X_97,X_428))),multiply(add(X_428,add(X_181,inverse(multiply(X_97,X_428)))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))) )],[refute_0_1938,refute_0_1989]) ).
cnf(refute_0_1991,plain,
multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) = inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))),
inference(subst,[],[refute_0_37:[bind(X,$fot(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))))]]) ).
cnf(refute_0_1992,plain,
( multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) != inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))
| add(X_181,inverse(multiply(X_97,X_428))) != multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))
| add(X_181,inverse(multiply(X_97,X_428))) = inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_181,inverse(multiply(X_97,X_428))),multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))) ),[1],$fot(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))]]) ).
cnf(refute_0_1993,plain,
( add(X_181,inverse(multiply(X_97,X_428))) != multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))
| add(X_181,inverse(multiply(X_97,X_428))) = inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) )],[refute_0_1991,refute_0_1992]) ).
cnf(refute_0_1994,plain,
add(X_181,inverse(multiply(X_97,X_428))) = inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))),
inference(resolve,[$cnf( $equal(add(X_181,inverse(multiply(X_97,X_428))),multiply(multiplicative_identity,inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))) )],[refute_0_1990,refute_0_1993]) ).
cnf(refute_0_1995,plain,
add(add(X_140,X_141),multiply(multiply(X_139,X_140),add(X_140,X_141))) = add(X_140,X_141),
inference(subst,[],[refute_0_128:[bind(Y,$fot(multiply(X_139,X_140))),bind(Z,$fot(add(X_140,X_141)))]]) ).
cnf(refute_0_1996,plain,
( multiply(multiply(X_139,X_140),add(X_140,X_141)) != multiply(X_139,X_140)
| add(add(X_140,X_141),multiply(multiply(X_139,X_140),add(X_140,X_141))) != add(X_140,X_141)
| add(add(X_140,X_141),multiply(X_139,X_140)) = add(X_140,X_141) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_140,X_141),multiply(multiply(X_139,X_140),add(X_140,X_141))),add(X_140,X_141)) ),[0,1],$fot(multiply(X_139,X_140))]]) ).
cnf(refute_0_1997,plain,
( add(add(X_140,X_141),multiply(multiply(X_139,X_140),add(X_140,X_141))) != add(X_140,X_141)
| add(add(X_140,X_141),multiply(X_139,X_140)) = add(X_140,X_141) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_139,X_140),add(X_140,X_141)),multiply(X_139,X_140)) )],[refute_0_1940,refute_0_1996]) ).
cnf(refute_0_1998,plain,
add(add(X_140,X_141),multiply(X_139,X_140)) = add(X_140,X_141),
inference(resolve,[$cnf( $equal(add(add(X_140,X_141),multiply(multiply(X_139,X_140),add(X_140,X_141))),add(X_140,X_141)) )],[refute_0_1995,refute_0_1997]) ).
cnf(refute_0_1999,plain,
add(add(inverse(multiply(X_97,X_96)),X_244),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))) = add(inverse(multiply(X_97,X_96)),X_244),
inference(subst,[],[refute_0_1998:[bind(X_139,$fot(inverse(X_96))),bind(X_140,$fot(inverse(multiply(X_97,X_96)))),bind(X_141,$fot(X_244))]]) ).
cnf(refute_0_2000,plain,
( multiply(inverse(X_96),inverse(multiply(X_97,X_96))) != inverse(X_96)
| add(add(inverse(multiply(X_97,X_96)),X_244),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))) != add(inverse(multiply(X_97,X_96)),X_244)
| add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) = add(inverse(multiply(X_97,X_96)),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_244),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))),add(inverse(multiply(X_97,X_96)),X_244)) ),[0,1],$fot(inverse(X_96))]]) ).
cnf(refute_0_2001,plain,
( add(add(inverse(multiply(X_97,X_96)),X_244),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))) != add(inverse(multiply(X_97,X_96)),X_244)
| add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) = add(inverse(multiply(X_97,X_96)),X_244) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_96),inverse(multiply(X_97,X_96))),inverse(X_96)) )],[refute_0_1969,refute_0_2000]) ).
cnf(refute_0_2002,plain,
add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) = add(inverse(multiply(X_97,X_96)),X_244),
inference(resolve,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_244),multiply(inverse(X_96),inverse(multiply(X_97,X_96)))),add(inverse(multiply(X_97,X_96)),X_244)) )],[refute_0_1999,refute_0_2001]) ).
cnf(refute_0_2003,plain,
add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) = add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96)))),
inference(subst,[],[refute_0_1667:[bind(X_160,$fot(X_244)),bind(X_161,$fot(inverse(X_96))),bind(X_22,$fot(inverse(multiply(X_97,X_96))))]]) ).
cnf(refute_0_2004,plain,
( add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) != add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96))))
| add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) != add(inverse(multiply(X_97,X_96)),X_244)
| add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96)))) = add(inverse(multiply(X_97,X_96)),X_244) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)),add(inverse(multiply(X_97,X_96)),X_244)) ),[0],$fot(add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96)))))]]) ).
cnf(refute_0_2005,plain,
( add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)) != add(inverse(multiply(X_97,X_96)),X_244)
| add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96)))) = add(inverse(multiply(X_97,X_96)),X_244) ),
inference(resolve,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)),add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96))))) )],[refute_0_2003,refute_0_2004]) ).
cnf(refute_0_2006,plain,
add(inverse(X_96),add(X_244,inverse(multiply(X_97,X_96)))) = add(inverse(multiply(X_97,X_96)),X_244),
inference(resolve,[$cnf( $equal(add(add(inverse(multiply(X_97,X_96)),X_244),inverse(X_96)),add(inverse(multiply(X_97,X_96)),X_244)) )],[refute_0_2002,refute_0_2005]) ).
cnf(refute_0_2007,plain,
add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))) = add(inverse(multiply(X_97,X_428)),X_181),
inference(subst,[],[refute_0_2006:[bind(X_244,$fot(X_181)),bind(X_96,$fot(X_428))]]) ).
cnf(refute_0_2008,plain,
inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) = add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))),
inference(subst,[],[refute_0_1823:[bind(X_430,$fot(add(X_181,inverse(multiply(X_97,X_428))))),bind(X_64,$fot(X_428))]]) ).
cnf(refute_0_2009,plain,
( add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))) != add(inverse(multiply(X_97,X_428)),X_181)
| inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) != add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428))))
| inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) = add(inverse(multiply(X_97,X_428)),X_181) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))),bind(Y0,$fot(add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))))),bind(Z0,$fot(add(inverse(multiply(X_97,X_428)),X_181)))]]) ).
cnf(refute_0_2010,plain,
( add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))) != add(inverse(multiply(X_97,X_428)),X_181)
| inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) = add(inverse(multiply(X_97,X_428)),X_181) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))),add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428))))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) = add(inverse(multiply(X_97,X_428)),X_181),
inference(resolve,[$cnf( $equal(add(inverse(X_428),add(X_181,inverse(multiply(X_97,X_428)))),add(inverse(multiply(X_97,X_428)),X_181)) )],[refute_0_2007,refute_0_2010]) ).
cnf(refute_0_2012,plain,
( add(X_181,inverse(multiply(X_97,X_428))) != inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))
| inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))) != add(inverse(multiply(X_97,X_428)),X_181)
| add(X_181,inverse(multiply(X_97,X_428))) = add(inverse(multiply(X_97,X_428)),X_181) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_181,inverse(multiply(X_97,X_428))),add(inverse(multiply(X_97,X_428)),X_181)) ),[0],$fot(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))))]]) ).
cnf(refute_0_2013,plain,
( add(X_181,inverse(multiply(X_97,X_428))) != inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))
| add(X_181,inverse(multiply(X_97,X_428))) = add(inverse(multiply(X_97,X_428)),X_181) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428)))))),add(inverse(multiply(X_97,X_428)),X_181)) )],[refute_0_2011,refute_0_2012]) ).
cnf(refute_0_2014,plain,
add(X_181,inverse(multiply(X_97,X_428))) = add(inverse(multiply(X_97,X_428)),X_181),
inference(resolve,[$cnf( $equal(add(X_181,inverse(multiply(X_97,X_428))),inverse(multiply(X_428,inverse(add(X_181,inverse(multiply(X_97,X_428))))))) )],[refute_0_1994,refute_0_2013]) ).
cnf(refute_0_2015,plain,
add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) = add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))),
inference(subst,[],[refute_0_2014:[bind(X_181,$fot(inverse(add(X_431,inverse(X_432))))),bind(X_428,$fot(X_432)),bind(X_97,$fot(X_431))]]) ).
cnf(refute_0_2016,plain,
( add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))) != inverse(multiply(X_431,X_432))
| add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) != add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432))))
| add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) = inverse(multiply(X_431,X_432)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))))),bind(Y0,$fot(add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))))),bind(Z0,$fot(inverse(multiply(X_431,X_432))))]]) ).
cnf(refute_0_2017,plain,
( add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))) != inverse(multiply(X_431,X_432))
| add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) = inverse(multiply(X_431,X_432)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))),add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432))))) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) = inverse(multiply(X_431,X_432)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),inverse(add(X_431,inverse(X_432)))),inverse(multiply(X_431,X_432))) )],[refute_0_1937,refute_0_2017]) ).
cnf(refute_0_2019,plain,
( add(inverse(X_432),inverse(X_431)) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))) != inverse(multiply(X_431,X_432))
| add(inverse(X_432),inverse(X_431)) = inverse(multiply(X_431,X_432)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(X_432),inverse(X_431)),inverse(multiply(X_431,X_432))) ),[0],$fot(add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))))]]) ).
cnf(refute_0_2020,plain,
( add(inverse(X_432),inverse(X_431)) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(X_432),inverse(X_431)) = inverse(multiply(X_431,X_432)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432))),inverse(multiply(X_431,X_432))) )],[refute_0_2018,refute_0_2019]) ).
cnf(refute_0_2021,plain,
( add(inverse(add(X_431,inverse(X_432))),inverse(X_432)) != add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))
| add(inverse(X_432),inverse(X_431)) = inverse(multiply(X_431,X_432)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_432),inverse(X_431)),add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))) )],[refute_0_1911,refute_0_2020]) ).
cnf(refute_0_2022,plain,
add(inverse(X_432),inverse(X_431)) = inverse(multiply(X_431,X_432)),
inference(resolve,[$cnf( $equal(add(inverse(add(X_431,inverse(X_432))),inverse(X_432)),add(inverse(add(X_431,inverse(X_432))),inverse(multiply(X_431,X_432)))) )],[refute_0_1581,refute_0_2021]) ).
cnf(refute_0_2023,plain,
add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_432,multiply(X_431,X_432))),
inference(subst,[],[refute_0_2022:[bind(X_431,$fot(X_432)),bind(X_432,$fot(multiply(X_431,X_432)))]]) ).
cnf(refute_0_2024,plain,
( add(inverse(multiply(X_431,X_432)),inverse(X_432)) != inverse(multiply(X_432,multiply(X_431,X_432)))
| inverse(multiply(X_432,multiply(X_431,X_432))) != inverse(multiply(X_432,X_431))
| add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_432,X_431)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(multiply(X_431,X_432)),inverse(X_432)))),bind(Y0,$fot(inverse(multiply(X_432,multiply(X_431,X_432))))),bind(Z0,$fot(inverse(multiply(X_432,X_431))))]]) ).
cnf(refute_0_2025,plain,
( inverse(multiply(X_432,multiply(X_431,X_432))) != inverse(multiply(X_432,X_431))
| add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_432,X_431)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),inverse(X_432)),inverse(multiply(X_432,multiply(X_431,X_432)))) )],[refute_0_2023,refute_0_2024]) ).
cnf(refute_0_2026,plain,
add(inverse(multiply(X_431,X_432)),inverse(X_432)) = inverse(multiply(X_432,X_431)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_432,multiply(X_431,X_432))),inverse(multiply(X_432,X_431))) )],[refute_0_1577,refute_0_2025]) ).
cnf(refute_0_2027,plain,
( add(inverse(multiply(X_431,X_432)),inverse(X_432)) != inverse(multiply(X_431,X_432))
| add(inverse(multiply(X_431,X_432)),inverse(X_432)) != inverse(multiply(X_432,X_431))
| inverse(multiply(X_432,X_431)) = inverse(multiply(X_431,X_432)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),inverse(X_432)),inverse(multiply(X_431,X_432))) ),[0],$fot(inverse(multiply(X_432,X_431)))]]) ).
cnf(refute_0_2028,plain,
( add(inverse(multiply(X_431,X_432)),inverse(X_432)) != inverse(multiply(X_431,X_432))
| inverse(multiply(X_432,X_431)) = inverse(multiply(X_431,X_432)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),inverse(X_432)),inverse(multiply(X_432,X_431))) )],[refute_0_2026,refute_0_2027]) ).
cnf(refute_0_2029,plain,
inverse(multiply(X_432,X_431)) = inverse(multiply(X_431,X_432)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_431,X_432)),inverse(X_432)),inverse(multiply(X_431,X_432))) )],[refute_0_1572,refute_0_2028]) ).
cnf(refute_0_2030,plain,
( inverse(multiply(X_432,X_431)) != inverse(multiply(X_431,X_432))
| inverse(multiply(X_431,X_432)) = inverse(multiply(X_432,X_431)) ),
inference(subst,[],[refute_0_22:[bind(X0,$fot(inverse(multiply(X_432,X_431)))),bind(Y0,$fot(inverse(multiply(X_431,X_432))))]]) ).
cnf(refute_0_2031,plain,
inverse(multiply(X_431,X_432)) = inverse(multiply(X_432,X_431)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_432,X_431)),inverse(multiply(X_431,X_432))) )],[refute_0_2029,refute_0_2030]) ).
cnf(refute_0_2032,plain,
inverse(multiply(b,a)) = inverse(multiply(a,b)),
inference(subst,[],[refute_0_2031:[bind(X_431,$fot(b)),bind(X_432,$fot(a))]]) ).
cnf(refute_0_2033,plain,
add(inverse(a),inverse(b)) = inverse(multiply(b,a)),
inference(subst,[],[refute_0_2022:[bind(X_431,$fot(b)),bind(X_432,$fot(a))]]) ).
cnf(refute_0_2034,plain,
( add(inverse(a),inverse(b)) != inverse(multiply(b,a))
| inverse(multiply(b,a)) != inverse(multiply(a,b))
| add(inverse(a),inverse(b)) = inverse(multiply(a,b)) ),
inference(subst,[],[refute_0_54:[bind(X0,$fot(add(inverse(a),inverse(b)))),bind(Y0,$fot(inverse(multiply(b,a)))),bind(Z0,$fot(inverse(multiply(a,b))))]]) ).
cnf(refute_0_2035,plain,
( inverse(multiply(b,a)) != inverse(multiply(a,b))
| add(inverse(a),inverse(b)) = inverse(multiply(a,b)) ),
inference(resolve,[$cnf( $equal(add(inverse(a),inverse(b)),inverse(multiply(b,a))) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
add(inverse(a),inverse(b)) = inverse(multiply(a,b)),
inference(resolve,[$cnf( $equal(inverse(multiply(b,a)),inverse(multiply(a,b))) )],[refute_0_2032,refute_0_2035]) ).
cnf(refute_0_2037,plain,
( add(inverse(a),inverse(b)) != inverse(multiply(a,b))
| inverse(multiply(a,b)) != inverse(multiply(a,b))
| inverse(multiply(a,b)) = add(inverse(a),inverse(b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(multiply(a,b)),add(inverse(a),inverse(b))) ),[1],$fot(inverse(multiply(a,b)))]]) ).
cnf(refute_0_2038,plain,
( inverse(multiply(a,b)) != inverse(multiply(a,b))
| inverse(multiply(a,b)) = add(inverse(a),inverse(b)) ),
inference(resolve,[$cnf( $equal(add(inverse(a),inverse(b)),inverse(multiply(a,b))) )],[refute_0_2036,refute_0_2037]) ).
cnf(refute_0_2039,plain,
inverse(multiply(a,b)) != inverse(multiply(a,b)),
inference(resolve,[$cnf( $equal(inverse(multiply(a,b)),add(inverse(a),inverse(b))) )],[refute_0_2038,prove_c_inverse_is_d]) ).
cnf(refute_0_2040,plain,
inverse(multiply(a,b)) = inverse(multiply(a,b)),
introduced(tautology,[refl,[$fot(inverse(multiply(a,b)))]]) ).
cnf(refute_0_2041,plain,
$false,
inference(resolve,[$cnf( $equal(inverse(multiply(a,b)),inverse(multiply(a,b))) )],[refute_0_2040,refute_0_2039]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO015-4 : TPTP v8.1.0. Released v1.1.0.
% 0.06/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 1 18:25:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 13.66/13.85 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.66/13.85
% 13.66/13.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 13.88/14.09
%------------------------------------------------------------------------------