TSTP Solution File: BOO008-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n032.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 23:44:29 EDT 2022
% Result : Unsatisfiable 47.95s 48.13s
% Output : CNFRefutation 48.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 179
% Number of leaves : 518
% Syntax : Number of clauses : 2633 (1326 unt; 0 nHn;1265 RR)
% Number of literals : 4501 (4500 equ;1871 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 6513 ( 304 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_add,axiom,
add(X,Y) = add(Y,X) ).
cnf(commutativity_of_multiply,axiom,
multiply(X,Y) = multiply(Y,X) ).
cnf(distributivity1,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ).
cnf(distributivity2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ).
cnf(distributivity3,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ).
cnf(distributivity4,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X ).
cnf(multiplicative_id2,axiom,
multiply(multiplicative_identity,X) = X ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X ).
cnf(additive_id2,axiom,
add(additive_identity,X) = X ).
cnf(prove_associativity,negated_conjecture,
add(a,add(b,c)) != add(add(a,b),c) ).
cnf(refute_0_0,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_1,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_2,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_4,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_3]) ).
cnf(refute_0_5,plain,
add(add(a,b),c) = add(c,add(a,b)),
inference(subst,[],[refute_0_4:[bind(X,$fot(c)),bind(Y,$fot(add(a,b)))]]) ).
cnf(refute_0_6,plain,
( add(add(a,b),c) != add(c,add(a,b))
| add(a,add(b,c)) != add(c,add(a,b))
| add(a,add(b,c)) = add(add(a,b),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(a,add(b,c)),add(add(a,b),c)) ),[1],$fot(add(c,add(a,b)))]]) ).
cnf(refute_0_7,plain,
( add(a,add(b,c)) != add(c,add(a,b))
| add(a,add(b,c)) = add(add(a,b),c) ),
inference(resolve,[$cnf( $equal(add(add(a,b),c),add(c,add(a,b))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
add(a,add(b,c)) != add(c,add(a,b)),
inference(resolve,[$cnf( $equal(add(a,add(b,c)),add(add(a,b),c)) )],[refute_0_7,prove_associativity]) ).
cnf(refute_0_9,plain,
add(multiply(X_10,X_11),inverse(X_10)) = multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_10,plain,
add(X_10,inverse(X_10)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_11,plain,
( add(X_10,inverse(X_10)) != multiplicative_identity
| add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_12,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
add(multiply(X_10,X_11),inverse(X_10)) = add(inverse(X_10),multiply(X_10,X_11)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_15,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) != add(inverse(X_10),multiply(X_10,X_11))
| add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[0],$fot(add(inverse(X_10),multiply(X_10,X_11)))]]) ).
cnf(refute_0_16,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
multiply(multiplicative_identity,add(X_11,inverse(X_10))) = add(X_11,inverse(X_10)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,inverse(X_10))))]]) ).
cnf(refute_0_18,plain,
( multiply(multiplicative_identity,add(X_11,inverse(X_10))) != add(X_11,inverse(X_10))
| add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[1],$fot(add(X_11,inverse(X_10)))]]) ).
cnf(refute_0_19,plain,
( add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,inverse(X_10))),add(X_11,inverse(X_10))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
add(inverse(add(X_30,X_31)),multiply(add(X_30,X_31),add(X_30,X_32))) = add(add(X_30,X_32),inverse(add(X_30,X_31))),
inference(subst,[],[refute_0_21:[bind(X_10,$fot(add(X_30,X_31))),bind(X_11,$fot(add(X_30,X_32)))]]) ).
cnf(refute_0_23,plain,
add(X_30,multiply(X_31,X_32)) = multiply(add(X_30,X_31),add(X_30,X_32)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_24,plain,
( add(X_30,multiply(X_31,X_32)) != multiply(add(X_30,X_31),add(X_30,X_32))
| multiply(add(X_30,X_31),add(X_30,X_32)) = add(X_30,multiply(X_31,X_32)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_30,multiply(X_31,X_32)))),bind(Y0,$fot(multiply(add(X_30,X_31),add(X_30,X_32))))]]) ).
cnf(refute_0_25,plain,
multiply(add(X_30,X_31),add(X_30,X_32)) = add(X_30,multiply(X_31,X_32)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_31,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( multiply(add(X_30,X_31),add(X_30,X_32)) != add(X_30,multiply(X_31,X_32))
| add(inverse(add(X_30,X_31)),multiply(add(X_30,X_31),add(X_30,X_32))) != add(add(X_30,X_32),inverse(add(X_30,X_31)))
| add(inverse(add(X_30,X_31)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_32),inverse(add(X_30,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_30,X_31)),multiply(add(X_30,X_31),add(X_30,X_32))),add(add(X_30,X_32),inverse(add(X_30,X_31)))) ),[0,1],$fot(add(X_30,multiply(X_31,X_32)))]]) ).
cnf(refute_0_27,plain,
( add(inverse(add(X_30,X_31)),multiply(add(X_30,X_31),add(X_30,X_32))) != add(add(X_30,X_32),inverse(add(X_30,X_31)))
| add(inverse(add(X_30,X_31)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_32),inverse(add(X_30,X_31))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_30,X_31),add(X_30,X_32)),add(X_30,multiply(X_31,X_32))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
add(inverse(add(X_30,X_31)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_32),inverse(add(X_30,X_31))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_30,X_31)),multiply(add(X_30,X_31),add(X_30,X_32))),add(add(X_30,X_32),inverse(add(X_30,X_31)))) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),
inference(subst,[],[refute_0_28:[bind(X_30,$fot(add(X_87,X_88))),bind(X_31,$fot(inverse(multiply(X_86,X_87)))),bind(X_32,$fot(X_434))]]) ).
cnf(refute_0_30,plain,
add(inverse(multiply(X_86,X_87)),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))),
inference(subst,[],[refute_0_21:[bind(X_10,$fot(multiply(X_86,X_87))),bind(X_11,$fot(multiply(X_86,add(X_87,X_88))))]]) ).
cnf(refute_0_31,plain,
multiply(add(X_59,multiplicative_identity),X_61) = add(multiply(X_59,X_61),multiply(multiplicative_identity,X_61)),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(X_61))]]) ).
cnf(refute_0_32,plain,
multiply(multiplicative_identity,X_61) = X_61,
inference(subst,[],[multiplicative_id2:[bind(X,$fot(X_61))]]) ).
cnf(refute_0_33,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != add(multiply(X_59,X_61),multiply(multiplicative_identity,X_61))
| multiply(multiplicative_identity,X_61) != X_61
| multiply(add(X_59,multiplicative_identity),X_61) = add(multiply(X_59,X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),add(multiply(X_59,X_61),multiply(multiplicative_identity,X_61))) ),[1,1],$fot(X_61)]]) ).
cnf(refute_0_34,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != add(multiply(X_59,X_61),multiply(multiplicative_identity,X_61))
| multiply(add(X_59,multiplicative_identity),X_61) = add(multiply(X_59,X_61),X_61) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_61),X_61) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
multiply(add(X_59,multiplicative_identity),X_61) = add(multiply(X_59,X_61),X_61),
inference(resolve,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),add(multiply(X_59,X_61),multiply(multiplicative_identity,X_61))) )],[refute_0_31,refute_0_34]) ).
cnf(refute_0_36,plain,
add(multiplicative_identity,multiply(X_31,inverse(X_19))) = multiply(add(multiplicative_identity,X_31),add(multiplicative_identity,inverse(X_19))),
inference(subst,[],[distributivity2:[bind(X,$fot(multiplicative_identity)),bind(Y,$fot(X_31)),bind(Z,$fot(inverse(X_19)))]]) ).
cnf(refute_0_37,plain,
add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_38,plain,
add(X_11,inverse(X_11)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_39,plain,
( add(X_11,inverse(X_11)) != multiplicative_identity
| add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
| add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_40,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
| add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),multiplicative_identity) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) )],[refute_0_37,refute_0_40]) ).
cnf(refute_0_42,plain,
add(multiply(X_10,X_11),inverse(X_11)) = add(inverse(X_11),multiply(X_10,X_11)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_43,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(multiply(X_10,X_11),inverse(X_11)) != add(inverse(X_11),multiply(X_10,X_11))
| add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[0],$fot(add(inverse(X_11),multiply(X_10,X_11)))]]) ).
cnf(refute_0_44,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) )],[refute_0_42,refute_0_43]) ).
cnf(refute_0_45,plain,
multiply(add(X_10,inverse(X_11)),multiplicative_identity) = add(X_10,inverse(X_11)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,inverse(X_11))))]]) ).
cnf(refute_0_46,plain,
( multiply(add(X_10,inverse(X_11)),multiplicative_identity) != add(X_10,inverse(X_11))
| add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_47,plain,
( add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(X_11)),multiplicative_identity),add(X_10,inverse(X_11))) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_44,refute_0_47]) ).
cnf(refute_0_49,plain,
add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_41,refute_0_48]) ).
cnf(refute_0_50,plain,
add(inverse(X_19),multiply(multiplicative_identity,X_19)) = add(multiplicative_identity,inverse(X_19)),
inference(subst,[],[refute_0_49:[bind(X_10,$fot(multiplicative_identity)),bind(X_11,$fot(X_19))]]) ).
cnf(refute_0_51,plain,
multiply(multiplicative_identity,X_19) = X_19,
inference(subst,[],[multiplicative_id2:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_52,plain,
( multiply(multiplicative_identity,X_19) != X_19
| add(inverse(X_19),multiply(multiplicative_identity,X_19)) != add(multiplicative_identity,inverse(X_19))
| add(inverse(X_19),X_19) = add(multiplicative_identity,inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_19),multiply(multiplicative_identity,X_19)),add(multiplicative_identity,inverse(X_19))) ),[0,1],$fot(X_19)]]) ).
cnf(refute_0_53,plain,
( add(inverse(X_19),multiply(multiplicative_identity,X_19)) != add(multiplicative_identity,inverse(X_19))
| add(inverse(X_19),X_19) = add(multiplicative_identity,inverse(X_19)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_19),X_19) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
add(inverse(X_19),X_19) = add(multiplicative_identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(add(inverse(X_19),multiply(multiplicative_identity,X_19)),add(multiplicative_identity,inverse(X_19))) )],[refute_0_50,refute_0_53]) ).
cnf(refute_0_55,plain,
add(X_19,inverse(X_19)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_56,plain,
add(inverse(X_19),X_19) = add(X_19,inverse(X_19)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_19)),bind(Y,$fot(inverse(X_19)))]]) ).
cnf(refute_0_57,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_58,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_57]) ).
cnf(refute_0_59,plain,
( add(X_19,inverse(X_19)) != multiplicative_identity
| add(inverse(X_19),X_19) != add(X_19,inverse(X_19))
| add(inverse(X_19),X_19) = multiplicative_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_19),X_19))),bind(Y0,$fot(add(X_19,inverse(X_19)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_60,plain,
( add(X_19,inverse(X_19)) != multiplicative_identity
| add(inverse(X_19),X_19) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_19),X_19),add(X_19,inverse(X_19))) )],[refute_0_56,refute_0_59]) ).
cnf(refute_0_61,plain,
add(inverse(X_19),X_19) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_19,inverse(X_19)),multiplicative_identity) )],[refute_0_55,refute_0_60]) ).
cnf(refute_0_62,plain,
( add(inverse(X_19),X_19) != add(multiplicative_identity,inverse(X_19))
| add(inverse(X_19),X_19) != multiplicative_identity
| multiplicative_identity = add(multiplicative_identity,inverse(X_19)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_19),X_19),add(multiplicative_identity,inverse(X_19))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_63,plain,
( add(inverse(X_19),X_19) != add(multiplicative_identity,inverse(X_19))
| multiplicative_identity = add(multiplicative_identity,inverse(X_19)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_19),X_19),multiplicative_identity) )],[refute_0_61,refute_0_62]) ).
cnf(refute_0_64,plain,
multiplicative_identity = add(multiplicative_identity,inverse(X_19)),
inference(resolve,[$cnf( $equal(add(inverse(X_19),X_19),add(multiplicative_identity,inverse(X_19))) )],[refute_0_54,refute_0_63]) ).
cnf(refute_0_65,plain,
( multiplicative_identity != add(multiplicative_identity,inverse(X_19))
| add(multiplicative_identity,inverse(X_19)) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiplicative_identity,inverse(X_19))))]]) ).
cnf(refute_0_66,plain,
add(multiplicative_identity,inverse(X_19)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiplicative_identity,inverse(X_19))) )],[refute_0_64,refute_0_65]) ).
cnf(refute_0_67,plain,
( add(multiplicative_identity,multiply(X_31,inverse(X_19))) != multiply(add(multiplicative_identity,X_31),add(multiplicative_identity,inverse(X_19)))
| add(multiplicative_identity,inverse(X_19)) != multiplicative_identity
| add(multiplicative_identity,multiply(X_31,inverse(X_19))) = multiply(add(multiplicative_identity,X_31),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(X_31,inverse(X_19))),multiply(add(multiplicative_identity,X_31),add(multiplicative_identity,inverse(X_19)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_68,plain,
( add(multiplicative_identity,multiply(X_31,inverse(X_19))) != multiply(add(multiplicative_identity,X_31),add(multiplicative_identity,inverse(X_19)))
| add(multiplicative_identity,multiply(X_31,inverse(X_19))) = multiply(add(multiplicative_identity,X_31),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,inverse(X_19)),multiplicative_identity) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
add(multiplicative_identity,multiply(X_31,inverse(X_19))) = multiply(add(multiplicative_identity,X_31),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_31,inverse(X_19))),multiply(add(multiplicative_identity,X_31),add(multiplicative_identity,inverse(X_19)))) )],[refute_0_36,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(add(multiplicative_identity,X_31),multiplicative_identity) = add(multiplicative_identity,X_31),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(multiplicative_identity,X_31)))]]) ).
cnf(refute_0_71,plain,
( multiply(add(multiplicative_identity,X_31),multiplicative_identity) != add(multiplicative_identity,X_31)
| add(multiplicative_identity,multiply(X_31,inverse(X_19))) != multiply(add(multiplicative_identity,X_31),multiplicative_identity)
| add(multiplicative_identity,multiply(X_31,inverse(X_19))) = add(multiplicative_identity,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(X_31,inverse(X_19))),multiply(add(multiplicative_identity,X_31),multiplicative_identity)) ),[1],$fot(add(multiplicative_identity,X_31))]]) ).
cnf(refute_0_72,plain,
( add(multiplicative_identity,multiply(X_31,inverse(X_19))) != multiply(add(multiplicative_identity,X_31),multiplicative_identity)
| add(multiplicative_identity,multiply(X_31,inverse(X_19))) = add(multiplicative_identity,X_31) ),
inference(resolve,[$cnf( $equal(multiply(add(multiplicative_identity,X_31),multiplicative_identity),add(multiplicative_identity,X_31)) )],[refute_0_70,refute_0_71]) ).
cnf(refute_0_73,plain,
add(multiplicative_identity,multiply(X_31,inverse(X_19))) = add(multiplicative_identity,X_31),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_31,inverse(X_19))),multiply(add(multiplicative_identity,X_31),multiplicative_identity)) )],[refute_0_69,refute_0_72]) ).
cnf(refute_0_74,plain,
add(multiplicative_identity,multiply(X_34,inverse(X_33))) = add(multiplicative_identity,X_34),
inference(subst,[],[refute_0_73:[bind(X_19,$fot(X_33)),bind(X_31,$fot(X_34))]]) ).
cnf(refute_0_75,plain,
add(X_34,multiplicative_identity) = add(multiplicative_identity,X_34),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_34)),bind(Y,$fot(multiplicative_identity))]]) ).
cnf(refute_0_76,plain,
( add(X_34,multiplicative_identity) != add(multiplicative_identity,X_34)
| add(multiplicative_identity,X_34) = add(X_34,multiplicative_identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_34,multiplicative_identity))),bind(Y0,$fot(add(multiplicative_identity,X_34)))]]) ).
cnf(refute_0_77,plain,
add(multiplicative_identity,X_34) = add(X_34,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_34,multiplicative_identity),add(multiplicative_identity,X_34)) )],[refute_0_75,refute_0_76]) ).
cnf(refute_0_78,plain,
( add(multiplicative_identity,X_34) != add(X_34,multiplicative_identity)
| add(multiplicative_identity,multiply(X_34,inverse(X_33))) != add(multiplicative_identity,X_34)
| add(multiplicative_identity,multiply(X_34,inverse(X_33))) = add(X_34,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(X_34,inverse(X_33))),add(multiplicative_identity,X_34)) ),[1],$fot(add(X_34,multiplicative_identity))]]) ).
cnf(refute_0_79,plain,
( add(multiplicative_identity,multiply(X_34,inverse(X_33))) != add(multiplicative_identity,X_34)
| add(multiplicative_identity,multiply(X_34,inverse(X_33))) = add(X_34,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_34),add(X_34,multiplicative_identity)) )],[refute_0_77,refute_0_78]) ).
cnf(refute_0_80,plain,
add(multiplicative_identity,multiply(X_34,inverse(X_33))) = add(X_34,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_34,inverse(X_33))),add(multiplicative_identity,X_34)) )],[refute_0_74,refute_0_79]) ).
cnf(refute_0_81,plain,
add(multiplicative_identity,multiply(X_33,inverse(X_33))) = add(multiplicative_identity,X_33),
inference(subst,[],[refute_0_73:[bind(X_19,$fot(X_33)),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_82,plain,
multiply(X_33,inverse(X_33)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_33))]]) ).
cnf(refute_0_83,plain,
( multiply(X_33,inverse(X_33)) != additive_identity
| add(multiplicative_identity,multiply(X_33,inverse(X_33))) != add(multiplicative_identity,X_33)
| add(multiplicative_identity,additive_identity) = add(multiplicative_identity,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(X_33,inverse(X_33))),add(multiplicative_identity,X_33)) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_84,plain,
( add(multiplicative_identity,multiply(X_33,inverse(X_33))) != add(multiplicative_identity,X_33)
| add(multiplicative_identity,additive_identity) = add(multiplicative_identity,X_33) ),
inference(resolve,[$cnf( $equal(multiply(X_33,inverse(X_33)),additive_identity) )],[refute_0_82,refute_0_83]) ).
cnf(refute_0_85,plain,
add(multiplicative_identity,additive_identity) = add(multiplicative_identity,X_33),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_33,inverse(X_33))),add(multiplicative_identity,X_33)) )],[refute_0_81,refute_0_84]) ).
cnf(refute_0_86,plain,
add(multiplicative_identity,additive_identity) = multiplicative_identity,
inference(subst,[],[additive_id1:[bind(X,$fot(multiplicative_identity))]]) ).
cnf(refute_0_87,plain,
( add(multiplicative_identity,additive_identity) != add(multiplicative_identity,X_33)
| add(multiplicative_identity,additive_identity) != multiplicative_identity
| multiplicative_identity = add(multiplicative_identity,X_33) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,additive_identity),add(multiplicative_identity,X_33)) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_88,plain,
( add(multiplicative_identity,additive_identity) != add(multiplicative_identity,X_33)
| multiplicative_identity = add(multiplicative_identity,X_33) ),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,additive_identity),multiplicative_identity) )],[refute_0_86,refute_0_87]) ).
cnf(refute_0_89,plain,
multiplicative_identity = add(multiplicative_identity,X_33),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,additive_identity),add(multiplicative_identity,X_33)) )],[refute_0_85,refute_0_88]) ).
cnf(refute_0_90,plain,
( multiplicative_identity != add(multiplicative_identity,X_33)
| add(multiplicative_identity,X_33) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiplicative_identity,X_33)))]]) ).
cnf(refute_0_91,plain,
add(multiplicative_identity,X_33) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiplicative_identity,X_33)) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
add(multiplicative_identity,multiply(X_34,inverse(X_33))) = multiplicative_identity,
inference(subst,[],[refute_0_91:[bind(X_33,$fot(multiply(X_34,inverse(X_33))))]]) ).
cnf(refute_0_93,plain,
( add(multiplicative_identity,multiply(X_34,inverse(X_33))) != add(X_34,multiplicative_identity)
| add(multiplicative_identity,multiply(X_34,inverse(X_33))) != multiplicative_identity
| multiplicative_identity = add(X_34,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,multiply(X_34,inverse(X_33))),add(X_34,multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_94,plain,
( add(multiplicative_identity,multiply(X_34,inverse(X_33))) != add(X_34,multiplicative_identity)
| multiplicative_identity = add(X_34,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_34,inverse(X_33))),multiplicative_identity) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
multiplicative_identity = add(X_34,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,multiply(X_34,inverse(X_33))),add(X_34,multiplicative_identity)) )],[refute_0_80,refute_0_94]) ).
cnf(refute_0_96,plain,
( multiplicative_identity != add(X_34,multiplicative_identity)
| add(X_34,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_34,multiplicative_identity)))]]) ).
cnf(refute_0_97,plain,
add(X_34,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_34,multiplicative_identity)) )],[refute_0_95,refute_0_96]) ).
cnf(refute_0_98,plain,
add(X_59,multiplicative_identity) = multiplicative_identity,
inference(subst,[],[refute_0_97:[bind(X_34,$fot(X_59))]]) ).
cnf(refute_0_99,plain,
multiply(add(X_59,multiplicative_identity),X_61) = multiply(add(X_59,multiplicative_identity),X_61),
introduced(tautology,[refl,[$fot(multiply(add(X_59,multiplicative_identity),X_61))]]) ).
cnf(refute_0_100,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != multiply(add(X_59,multiplicative_identity),X_61)
| add(X_59,multiplicative_identity) != multiplicative_identity
| multiply(add(X_59,multiplicative_identity),X_61) = multiply(multiplicative_identity,X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),multiply(add(X_59,multiplicative_identity),X_61)) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_101,plain,
( add(X_59,multiplicative_identity) != multiplicative_identity
| multiply(add(X_59,multiplicative_identity),X_61) = multiply(multiplicative_identity,X_61) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),multiply(add(X_59,multiplicative_identity),X_61)) )],[refute_0_99,refute_0_100]) ).
cnf(refute_0_102,plain,
multiply(add(X_59,multiplicative_identity),X_61) = multiply(multiplicative_identity,X_61),
inference(resolve,[$cnf( $equal(add(X_59,multiplicative_identity),multiplicative_identity) )],[refute_0_98,refute_0_101]) ).
cnf(refute_0_103,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != multiply(multiplicative_identity,X_61)
| multiply(multiplicative_identity,X_61) != X_61
| multiply(add(X_59,multiplicative_identity),X_61) = X_61 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_59,multiplicative_identity),X_61))),bind(Y0,$fot(multiply(multiplicative_identity,X_61))),bind(Z0,$fot(X_61))]]) ).
cnf(refute_0_104,plain,
( multiply(multiplicative_identity,X_61) != X_61
| multiply(add(X_59,multiplicative_identity),X_61) = X_61 ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),multiply(multiplicative_identity,X_61)) )],[refute_0_102,refute_0_103]) ).
cnf(refute_0_105,plain,
multiply(add(X_59,multiplicative_identity),X_61) = X_61,
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_61),X_61) )],[refute_0_32,refute_0_104]) ).
cnf(refute_0_106,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != X_61
| multiply(add(X_59,multiplicative_identity),X_61) != add(multiply(X_59,X_61),X_61)
| X_61 = add(multiply(X_59,X_61),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),add(multiply(X_59,X_61),X_61)) ),[0],$fot(X_61)]]) ).
cnf(refute_0_107,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != add(multiply(X_59,X_61),X_61)
| X_61 = add(multiply(X_59,X_61),X_61) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),X_61) )],[refute_0_105,refute_0_106]) ).
cnf(refute_0_108,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),add(Z,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Z))]]) ).
cnf(refute_0_109,plain,
add(X_30,multiply(X_31,inverse(X_30))) = multiply(add(X_30,X_31),add(X_30,inverse(X_30))),
inference(subst,[],[distributivity2:[bind(X,$fot(X_30)),bind(Y,$fot(X_31)),bind(Z,$fot(inverse(X_30)))]]) ).
cnf(refute_0_110,plain,
add(X_30,inverse(X_30)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_111,plain,
( add(X_30,multiply(X_31,inverse(X_30))) != multiply(add(X_30,X_31),add(X_30,inverse(X_30)))
| add(X_30,inverse(X_30)) != multiplicative_identity
| add(X_30,multiply(X_31,inverse(X_30))) = multiply(add(X_30,X_31),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(X_31,inverse(X_30))),multiply(add(X_30,X_31),add(X_30,inverse(X_30)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_112,plain,
( add(X_30,multiply(X_31,inverse(X_30))) != multiply(add(X_30,X_31),add(X_30,inverse(X_30)))
| add(X_30,multiply(X_31,inverse(X_30))) = multiply(add(X_30,X_31),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_30,inverse(X_30)),multiplicative_identity) )],[refute_0_110,refute_0_111]) ).
cnf(refute_0_113,plain,
add(X_30,multiply(X_31,inverse(X_30))) = multiply(add(X_30,X_31),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_31,inverse(X_30))),multiply(add(X_30,X_31),add(X_30,inverse(X_30)))) )],[refute_0_109,refute_0_112]) ).
cnf(refute_0_114,plain,
multiply(add(X_30,X_31),multiplicative_identity) = add(X_30,X_31),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_30,X_31)))]]) ).
cnf(refute_0_115,plain,
( multiply(add(X_30,X_31),multiplicative_identity) != add(X_30,X_31)
| add(X_30,multiply(X_31,inverse(X_30))) != multiply(add(X_30,X_31),multiplicative_identity)
| add(X_30,multiply(X_31,inverse(X_30))) = add(X_30,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(X_31,inverse(X_30))),multiply(add(X_30,X_31),multiplicative_identity)) ),[1],$fot(add(X_30,X_31))]]) ).
cnf(refute_0_116,plain,
( add(X_30,multiply(X_31,inverse(X_30))) != multiply(add(X_30,X_31),multiplicative_identity)
| add(X_30,multiply(X_31,inverse(X_30))) = add(X_30,X_31) ),
inference(resolve,[$cnf( $equal(multiply(add(X_30,X_31),multiplicative_identity),add(X_30,X_31)) )],[refute_0_114,refute_0_115]) ).
cnf(refute_0_117,plain,
add(X_30,multiply(X_31,inverse(X_30))) = add(X_30,X_31),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_31,inverse(X_30))),multiply(add(X_30,X_31),multiplicative_identity)) )],[refute_0_113,refute_0_116]) ).
cnf(refute_0_118,plain,
add(X_37,multiply(X_37,inverse(X_37))) = add(X_37,X_37),
inference(subst,[],[refute_0_117:[bind(X_30,$fot(X_37)),bind(X_31,$fot(X_37))]]) ).
cnf(refute_0_119,plain,
multiply(X_37,inverse(X_37)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_120,plain,
( multiply(X_37,inverse(X_37)) != additive_identity
| add(X_37,multiply(X_37,inverse(X_37))) != add(X_37,X_37)
| add(X_37,additive_identity) = add(X_37,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_37,multiply(X_37,inverse(X_37))),add(X_37,X_37)) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_121,plain,
( add(X_37,multiply(X_37,inverse(X_37))) != add(X_37,X_37)
| add(X_37,additive_identity) = add(X_37,X_37) ),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(X_37)),additive_identity) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
add(X_37,additive_identity) = add(X_37,X_37),
inference(resolve,[$cnf( $equal(add(X_37,multiply(X_37,inverse(X_37))),add(X_37,X_37)) )],[refute_0_118,refute_0_121]) ).
cnf(refute_0_123,plain,
add(X_37,additive_identity) = X_37,
inference(subst,[],[additive_id1:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_124,plain,
( add(X_37,additive_identity) != X_37
| add(X_37,additive_identity) != add(X_37,X_37)
| X_37 = add(X_37,X_37) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_37,additive_identity),add(X_37,X_37)) ),[0],$fot(X_37)]]) ).
cnf(refute_0_125,plain,
( add(X_37,additive_identity) != add(X_37,X_37)
| X_37 = add(X_37,X_37) ),
inference(resolve,[$cnf( $equal(add(X_37,additive_identity),X_37) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
X_37 = add(X_37,X_37),
inference(resolve,[$cnf( $equal(add(X_37,additive_identity),add(X_37,X_37)) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
Z = add(Z,Z),
inference(subst,[],[refute_0_126:[bind(X_37,$fot(Z))]]) ).
cnf(refute_0_128,plain,
( Z != add(Z,Z)
| add(Z,Z) = Z ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Z)),bind(Y0,$fot(add(Z,Z)))]]) ).
cnf(refute_0_129,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_127,refute_0_128]) ).
cnf(refute_0_130,plain,
( add(Z,Z) != Z
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_131,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( $equal(add(Z,Z),Z) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) )],[refute_0_108,refute_0_131]) ).
cnf(refute_0_133,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_134,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_133]) ).
cnf(refute_0_135,plain,
multiply(add(Z,Y),Z) = multiply(Z,add(Z,Y)),
inference(subst,[],[refute_0_134:[bind(X,$fot(Z)),bind(Y,$fot(add(Z,Y)))]]) ).
cnf(refute_0_136,plain,
( multiply(add(Z,Y),Z) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) ),[1],$fot(multiply(Z,add(Z,Y)))]]) ).
cnf(refute_0_137,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,Y),Z),multiply(Z,add(Z,Y))) )],[refute_0_135,refute_0_136]) ).
cnf(refute_0_138,plain,
add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) )],[refute_0_132,refute_0_137]) ).
cnf(refute_0_139,plain,
add(X_61,multiply(X_59,X_61)) = multiply(X_61,add(X_61,X_59)),
inference(subst,[],[refute_0_138:[bind(Y,$fot(X_59)),bind(Z,$fot(X_61))]]) ).
cnf(refute_0_140,plain,
add(multiply(X_59,X_61),X_61) = add(X_61,multiply(X_59,X_61)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_61)),bind(Y,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_141,plain,
( add(X_61,multiply(X_59,X_61)) != multiply(X_61,add(X_61,X_59))
| add(multiply(X_59,X_61),X_61) != add(X_61,multiply(X_59,X_61))
| add(multiply(X_59,X_61),X_61) = multiply(X_61,add(X_61,X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_59,X_61),X_61))),bind(Y0,$fot(add(X_61,multiply(X_59,X_61)))),bind(Z0,$fot(multiply(X_61,add(X_61,X_59))))]]) ).
cnf(refute_0_142,plain,
( add(X_61,multiply(X_59,X_61)) != multiply(X_61,add(X_61,X_59))
| add(multiply(X_59,X_61),X_61) = multiply(X_61,add(X_61,X_59)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_61),X_61),add(X_61,multiply(X_59,X_61))) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
add(multiply(X_59,X_61),X_61) = multiply(X_61,add(X_61,X_59)),
inference(resolve,[$cnf( $equal(add(X_61,multiply(X_59,X_61)),multiply(X_61,add(X_61,X_59))) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
( X_61 != add(multiply(X_59,X_61),X_61)
| add(multiply(X_59,X_61),X_61) != multiply(X_61,add(X_61,X_59))
| X_61 = multiply(X_61,add(X_61,X_59)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_61,multiply(X_61,add(X_61,X_59))) ),[0],$fot(add(multiply(X_59,X_61),X_61))]]) ).
cnf(refute_0_145,plain,
( X_61 != add(multiply(X_59,X_61),X_61)
| X_61 = multiply(X_61,add(X_61,X_59)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_61),X_61),multiply(X_61,add(X_61,X_59))) )],[refute_0_143,refute_0_144]) ).
cnf(refute_0_146,plain,
( multiply(add(X_59,multiplicative_identity),X_61) != add(multiply(X_59,X_61),X_61)
| X_61 = multiply(X_61,add(X_61,X_59)) ),
inference(resolve,[$cnf( $equal(X_61,add(multiply(X_59,X_61),X_61)) )],[refute_0_107,refute_0_145]) ).
cnf(refute_0_147,plain,
X_61 = multiply(X_61,add(X_61,X_59)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,multiplicative_identity),X_61),add(multiply(X_59,X_61),X_61)) )],[refute_0_35,refute_0_146]) ).
cnf(refute_0_148,plain,
multiply(X_65,X_66) = multiply(multiply(X_65,X_66),add(multiply(X_65,X_66),multiply(X_65,X_67))),
inference(subst,[],[refute_0_147:[bind(X_59,$fot(multiply(X_65,X_67))),bind(X_61,$fot(multiply(X_65,X_66)))]]) ).
cnf(refute_0_149,plain,
multiply(X_65,add(X_66,X_67)) = add(multiply(X_65,X_66),multiply(X_65,X_67)),
inference(subst,[],[distributivity4:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_150,plain,
( multiply(X_65,add(X_66,X_67)) != add(multiply(X_65,X_66),multiply(X_65,X_67))
| add(multiply(X_65,X_66),multiply(X_65,X_67)) = multiply(X_65,add(X_66,X_67)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_65,add(X_66,X_67)))),bind(Y0,$fot(add(multiply(X_65,X_66),multiply(X_65,X_67))))]]) ).
cnf(refute_0_151,plain,
add(multiply(X_65,X_66),multiply(X_65,X_67)) = multiply(X_65,add(X_66,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(X_66,X_67)),add(multiply(X_65,X_66),multiply(X_65,X_67))) )],[refute_0_149,refute_0_150]) ).
cnf(refute_0_152,plain,
( multiply(X_65,X_66) != multiply(multiply(X_65,X_66),add(multiply(X_65,X_66),multiply(X_65,X_67)))
| add(multiply(X_65,X_66),multiply(X_65,X_67)) != multiply(X_65,add(X_66,X_67))
| multiply(X_65,X_66) = multiply(multiply(X_65,X_66),multiply(X_65,add(X_66,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,X_66),multiply(multiply(X_65,X_66),add(multiply(X_65,X_66),multiply(X_65,X_67)))) ),[1,1],$fot(multiply(X_65,add(X_66,X_67)))]]) ).
cnf(refute_0_153,plain,
( multiply(X_65,X_66) != multiply(multiply(X_65,X_66),add(multiply(X_65,X_66),multiply(X_65,X_67)))
| multiply(X_65,X_66) = multiply(multiply(X_65,X_66),multiply(X_65,add(X_66,X_67))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_66),multiply(X_65,X_67)),multiply(X_65,add(X_66,X_67))) )],[refute_0_151,refute_0_152]) ).
cnf(refute_0_154,plain,
multiply(X_65,X_66) = multiply(multiply(X_65,X_66),multiply(X_65,add(X_66,X_67))),
inference(resolve,[$cnf( $equal(multiply(X_65,X_66),multiply(multiply(X_65,X_66),add(multiply(X_65,X_66),multiply(X_65,X_67)))) )],[refute_0_148,refute_0_153]) ).
cnf(refute_0_155,plain,
multiply(X_86,X_87) = multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88))),
inference(subst,[],[refute_0_154:[bind(X_65,$fot(X_86)),bind(X_66,$fot(X_87)),bind(X_67,$fot(X_88))]]) ).
cnf(refute_0_156,plain,
( multiply(X_86,X_87) != multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))
| multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88))) = multiply(X_86,X_87) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_86,X_87))),bind(Y0,$fot(multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))))]]) ).
cnf(refute_0_157,plain,
multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88))) = multiply(X_86,X_87),
inference(resolve,[$cnf( $equal(multiply(X_86,X_87),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
( multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88))) != multiply(X_86,X_87)
| add(inverse(multiply(X_86,X_87)),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))),add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) ),[0,1],$fot(multiply(X_86,X_87))]]) ).
cnf(refute_0_159,plain,
( add(inverse(multiply(X_86,X_87)),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88))),multiply(X_86,X_87)) )],[refute_0_157,refute_0_158]) ).
cnf(refute_0_160,plain,
add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))),add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) )],[refute_0_30,refute_0_159]) ).
cnf(refute_0_161,plain,
add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_162,plain,
multiply(add(X_59,X_60),add(X_59,X_13)) = add(multiply(X_59,add(X_59,X_13)),multiply(X_60,add(X_59,X_13))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(add(X_59,X_13)))]]) ).
cnf(refute_0_163,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),add(additive_identity,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_164,plain,
add(additive_identity,X_12) = X_12,
inference(subst,[],[additive_id2:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_165,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
| add(additive_identity,X_12) != X_12
| add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_166,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
| add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_164,refute_0_165]) ).
cnf(refute_0_167,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) )],[refute_0_163,refute_0_166]) ).
cnf(refute_0_168,plain,
multiply(add(X_10,X_12),X_12) = multiply(X_12,add(X_10,X_12)),
inference(subst,[],[refute_0_134:[bind(X,$fot(X_12)),bind(Y,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_169,plain,
( multiply(add(X_10,X_12),X_12) != multiply(X_12,add(X_10,X_12))
| add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
| add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) ),[1],$fot(multiply(X_12,add(X_10,X_12)))]]) ).
cnf(refute_0_170,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
| add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),X_12),multiply(X_12,add(X_10,X_12))) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) )],[refute_0_167,refute_0_170]) ).
cnf(refute_0_172,plain,
add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_13,X_14)),
inference(subst,[],[refute_0_171:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_173,plain,
add(X_14,X_13) = add(X_13,X_14),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_174,plain,
( add(X_14,X_13) != add(X_13,X_14)
| add(X_13,X_14) = add(X_14,X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_14,X_13))),bind(Y0,$fot(add(X_13,X_14)))]]) ).
cnf(refute_0_175,plain,
add(X_13,X_14) = add(X_14,X_13),
inference(resolve,[$cnf( $equal(add(X_14,X_13),add(X_13,X_14)) )],[refute_0_173,refute_0_174]) ).
cnf(refute_0_176,plain,
( add(X_13,X_14) != add(X_14,X_13)
| add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
| add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) ),[1,1],$fot(add(X_14,X_13))]]) ).
cnf(refute_0_177,plain,
( add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
| add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
inference(resolve,[$cnf( $equal(add(X_13,X_14),add(X_14,X_13)) )],[refute_0_175,refute_0_176]) ).
cnf(refute_0_178,plain,
add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) )],[refute_0_172,refute_0_177]) ).
cnf(refute_0_179,plain,
add(multiply(X_13,additive_identity),X_59) = multiply(X_59,add(X_59,X_13)),
inference(subst,[],[refute_0_178:[bind(X_14,$fot(X_59))]]) ).
cnf(refute_0_180,plain,
( add(multiply(X_13,additive_identity),X_59) != multiply(X_59,add(X_59,X_13))
| multiply(X_59,add(X_59,X_13)) = add(multiply(X_13,additive_identity),X_59) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_13,additive_identity),X_59))),bind(Y0,$fot(multiply(X_59,add(X_59,X_13))))]]) ).
cnf(refute_0_181,plain,
multiply(X_59,add(X_59,X_13)) = add(multiply(X_13,additive_identity),X_59),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_59),multiply(X_59,add(X_59,X_13))) )],[refute_0_179,refute_0_180]) ).
cnf(refute_0_182,plain,
( multiply(X_59,add(X_59,X_13)) != add(multiply(X_13,additive_identity),X_59)
| multiply(add(X_59,X_60),add(X_59,X_13)) != add(multiply(X_59,add(X_59,X_13)),multiply(X_60,add(X_59,X_13)))
| multiply(add(X_59,X_60),add(X_59,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),add(X_59,X_13)),add(multiply(X_59,add(X_59,X_13)),multiply(X_60,add(X_59,X_13)))) ),[1,0],$fot(add(multiply(X_13,additive_identity),X_59))]]) ).
cnf(refute_0_183,plain,
( multiply(add(X_59,X_60),add(X_59,X_13)) != add(multiply(X_59,add(X_59,X_13)),multiply(X_60,add(X_59,X_13)))
| multiply(add(X_59,X_60),add(X_59,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,add(X_59,X_13)),add(multiply(X_13,additive_identity),X_59)) )],[refute_0_181,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(add(X_59,X_60),add(X_59,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_59,X_13)),add(multiply(X_59,add(X_59,X_13)),multiply(X_60,add(X_59,X_13)))) )],[refute_0_162,refute_0_183]) ).
cnf(refute_0_185,plain,
( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
| multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).
cnf(refute_0_186,plain,
multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity2,refute_0_185]) ).
cnf(refute_0_187,plain,
multiply(add(X_59,X_60),add(X_59,X_13)) = add(X_59,multiply(X_60,X_13)),
inference(subst,[],[refute_0_186:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_188,plain,
( multiply(add(X_59,X_60),add(X_59,X_13)) != add(X_59,multiply(X_60,X_13))
| multiply(add(X_59,X_60),add(X_59,X_13)) != add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))
| add(X_59,multiply(X_60,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),add(X_59,X_13)),add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))) ),[0],$fot(add(X_59,multiply(X_60,X_13)))]]) ).
cnf(refute_0_189,plain,
( multiply(add(X_59,X_60),add(X_59,X_13)) != add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))
| add(X_59,multiply(X_60,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_59,X_13)),add(X_59,multiply(X_60,X_13))) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
add(X_59,multiply(X_60,X_13)) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_59,X_13)),add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))) )],[refute_0_184,refute_0_189]) ).
cnf(refute_0_191,plain,
multiply(add(X_59,X_60),add(X_60,X_22)) = add(multiply(X_59,add(X_60,X_22)),multiply(X_60,add(X_60,X_22))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(add(X_60,X_22)))]]) ).
cnf(refute_0_192,plain,
add(multiply(additive_identity,X_11),X_12) = multiply(add(additive_identity,X_12),add(X_11,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_193,plain,
( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
| add(additive_identity,X_12) != X_12
| add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_194,plain,
( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
| add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_164,refute_0_193]) ).
cnf(refute_0_195,plain,
add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) )],[refute_0_192,refute_0_194]) ).
cnf(refute_0_196,plain,
add(multiply(additive_identity,X_22),X_23) = multiply(X_23,add(X_22,X_23)),
inference(subst,[],[refute_0_195:[bind(X_11,$fot(X_22)),bind(X_12,$fot(X_23))]]) ).
cnf(refute_0_197,plain,
add(X_23,X_22) = add(X_22,X_23),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_23)),bind(Y,$fot(X_22))]]) ).
cnf(refute_0_198,plain,
( add(X_23,X_22) != add(X_22,X_23)
| add(X_22,X_23) = add(X_23,X_22) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_23,X_22))),bind(Y0,$fot(add(X_22,X_23)))]]) ).
cnf(refute_0_199,plain,
add(X_22,X_23) = add(X_23,X_22),
inference(resolve,[$cnf( $equal(add(X_23,X_22),add(X_22,X_23)) )],[refute_0_197,refute_0_198]) ).
cnf(refute_0_200,plain,
( add(X_22,X_23) != add(X_23,X_22)
| add(multiply(additive_identity,X_22),X_23) != multiply(X_23,add(X_22,X_23))
| add(multiply(additive_identity,X_22),X_23) = multiply(X_23,add(X_23,X_22)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_22),X_23),multiply(X_23,add(X_22,X_23))) ),[1,1],$fot(add(X_23,X_22))]]) ).
cnf(refute_0_201,plain,
( add(multiply(additive_identity,X_22),X_23) != multiply(X_23,add(X_22,X_23))
| add(multiply(additive_identity,X_22),X_23) = multiply(X_23,add(X_23,X_22)) ),
inference(resolve,[$cnf( $equal(add(X_22,X_23),add(X_23,X_22)) )],[refute_0_199,refute_0_200]) ).
cnf(refute_0_202,plain,
add(multiply(additive_identity,X_22),X_23) = multiply(X_23,add(X_23,X_22)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X_23),multiply(X_23,add(X_22,X_23))) )],[refute_0_196,refute_0_201]) ).
cnf(refute_0_203,plain,
add(multiply(additive_identity,X_22),X_60) = multiply(X_60,add(X_60,X_22)),
inference(subst,[],[refute_0_202:[bind(X_23,$fot(X_60))]]) ).
cnf(refute_0_204,plain,
( add(multiply(additive_identity,X_22),X_60) != multiply(X_60,add(X_60,X_22))
| multiply(X_60,add(X_60,X_22)) = add(multiply(additive_identity,X_22),X_60) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,X_22),X_60))),bind(Y0,$fot(multiply(X_60,add(X_60,X_22))))]]) ).
cnf(refute_0_205,plain,
multiply(X_60,add(X_60,X_22)) = add(multiply(additive_identity,X_22),X_60),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X_60),multiply(X_60,add(X_60,X_22))) )],[refute_0_203,refute_0_204]) ).
cnf(refute_0_206,plain,
( multiply(X_60,add(X_60,X_22)) != add(multiply(additive_identity,X_22),X_60)
| multiply(add(X_59,X_60),add(X_60,X_22)) != add(multiply(X_59,add(X_60,X_22)),multiply(X_60,add(X_60,X_22)))
| multiply(add(X_59,X_60),add(X_60,X_22)) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),add(X_60,X_22)),add(multiply(X_59,add(X_60,X_22)),multiply(X_60,add(X_60,X_22)))) ),[1,1],$fot(add(multiply(additive_identity,X_22),X_60))]]) ).
cnf(refute_0_207,plain,
( multiply(add(X_59,X_60),add(X_60,X_22)) != add(multiply(X_59,add(X_60,X_22)),multiply(X_60,add(X_60,X_22)))
| multiply(add(X_59,X_60),add(X_60,X_22)) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_60,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(add(X_59,X_60),add(X_60,X_22)) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_60,X_22)),add(multiply(X_59,add(X_60,X_22)),multiply(X_60,add(X_60,X_22)))) )],[refute_0_191,refute_0_207]) ).
cnf(refute_0_209,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_11,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_210,plain,
add(X_12,X_11) = add(X_11,X_12),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_211,plain,
( add(X_12,X_11) != add(X_11,X_12)
| add(X_11,X_12) = add(X_12,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_12,X_11))),bind(Y0,$fot(add(X_11,X_12)))]]) ).
cnf(refute_0_212,plain,
add(X_11,X_12) = add(X_12,X_11),
inference(resolve,[$cnf( $equal(add(X_12,X_11),add(X_11,X_12)) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( add(X_11,X_12) != add(X_12,X_11)
| add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1,1],$fot(add(X_12,X_11))]]) ).
cnf(refute_0_214,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
inference(resolve,[$cnf( $equal(add(X_11,X_12),add(X_12,X_11)) )],[refute_0_212,refute_0_213]) ).
cnf(refute_0_215,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_209,refute_0_214]) ).
cnf(refute_0_216,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_12,X_11))
| multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_10,X_12),add(X_12,X_11))))]]) ).
cnf(refute_0_217,plain,
multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_12,X_11))) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(add(X_59,X_60),add(X_60,X_22)) = add(multiply(X_59,X_22),X_60),
inference(subst,[],[refute_0_217:[bind(X_10,$fot(X_59)),bind(X_11,$fot(X_22)),bind(X_12,$fot(X_60))]]) ).
cnf(refute_0_219,plain,
( multiply(add(X_59,X_60),add(X_60,X_22)) != add(multiply(X_59,X_22),X_60)
| multiply(add(X_59,X_60),add(X_60,X_22)) != add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))
| add(multiply(X_59,X_22),X_60) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),add(X_60,X_22)),add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))) ),[0],$fot(add(multiply(X_59,X_22),X_60))]]) ).
cnf(refute_0_220,plain,
( multiply(add(X_59,X_60),add(X_60,X_22)) != add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))
| add(multiply(X_59,X_22),X_60) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_60,X_22)),add(multiply(X_59,X_22),X_60)) )],[refute_0_218,refute_0_219]) ).
cnf(refute_0_221,plain,
add(multiply(X_59,X_22),X_60) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),add(X_60,X_22)),add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))) )],[refute_0_208,refute_0_220]) ).
cnf(refute_0_222,plain,
add(X_58,X_57) = add(X_57,X_58),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_58)),bind(Y,$fot(X_57))]]) ).
cnf(refute_0_223,plain,
( add(X_58,X_57) != add(X_57,X_58)
| add(X_57,X_58) = add(X_58,X_57) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_58,X_57))),bind(Y0,$fot(add(X_57,X_58)))]]) ).
cnf(refute_0_224,plain,
add(X_57,X_58) = add(X_58,X_57),
inference(resolve,[$cnf( $equal(add(X_58,X_57),add(X_57,X_58)) )],[refute_0_222,refute_0_223]) ).
cnf(refute_0_225,plain,
add(multiply(X_59,add(X_60,X_22)),X_60) = add(X_60,multiply(X_59,add(X_60,X_22))),
inference(subst,[],[refute_0_224:[bind(X_57,$fot(multiply(X_59,add(X_60,X_22)))),bind(X_58,$fot(X_60))]]) ).
cnf(refute_0_226,plain,
add(additive_identity,X_60) = X_60,
inference(subst,[],[additive_id2:[bind(X,$fot(X_60))]]) ).
cnf(refute_0_227,plain,
multiply(add(additive_identity,X_60),additive_identity) = add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity)),
inference(subst,[],[distributivity3:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_60)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_228,plain,
add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,add(additive_identity,X_14)),
inference(subst,[],[refute_0_171:[bind(X_10,$fot(additive_identity)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_229,plain,
add(additive_identity,X_14) = X_14,
inference(subst,[],[additive_id2:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_230,plain,
( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
| add(additive_identity,X_14) != X_14
| add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_231,plain,
( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
| add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_14),X_14) )],[refute_0_229,refute_0_230]) ).
cnf(refute_0_232,plain,
add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) )],[refute_0_228,refute_0_231]) ).
cnf(refute_0_233,plain,
add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity)) = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(multiply(X_60,additive_identity)))]]) ).
cnf(refute_0_234,plain,
( multiply(add(additive_identity,X_60),additive_identity) != add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity))
| add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity)) != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| multiply(add(additive_identity,X_60),additive_identity) = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(additive_identity,X_60),additive_identity),multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) ),[0],$fot(add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity)))]]) ).
cnf(refute_0_235,plain,
( multiply(add(additive_identity,X_60),additive_identity) != add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity))
| multiply(add(additive_identity,X_60),additive_identity) = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity)),multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) )],[refute_0_233,refute_0_234]) ).
cnf(refute_0_236,plain,
multiply(add(additive_identity,X_60),additive_identity) = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_60),additive_identity),add(multiply(additive_identity,additive_identity),multiply(X_60,additive_identity))) )],[refute_0_227,refute_0_235]) ).
cnf(refute_0_237,plain,
( X_61 != multiply(X_61,add(X_61,X_59))
| multiply(X_61,add(X_61,X_59)) = X_61 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_61)),bind(Y0,$fot(multiply(X_61,add(X_61,X_59))))]]) ).
cnf(refute_0_238,plain,
multiply(X_61,add(X_61,X_59)) = X_61,
inference(resolve,[$cnf( $equal(X_61,multiply(X_61,add(X_61,X_59))) )],[refute_0_147,refute_0_237]) ).
cnf(refute_0_239,plain,
multiply(additive_identity,add(additive_identity,X_60)) = additive_identity,
inference(subst,[],[refute_0_238:[bind(X_59,$fot(X_60)),bind(X_61,$fot(additive_identity))]]) ).
cnf(refute_0_240,plain,
add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))),
inference(subst,[],[refute_0_171:[bind(X_12,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_241,plain,
multiply(X_10,additive_identity) = add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),
inference(subst,[],[refute_0_126:[bind(X_37,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_242,plain,
( multiply(X_10,additive_identity) != add(multiply(X_10,additive_identity),multiply(X_10,additive_identity))
| add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(X_10,additive_identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,additive_identity))),bind(Y0,$fot(add(multiply(X_10,additive_identity),multiply(X_10,additive_identity))))]]) ).
cnf(refute_0_243,plain,
add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(X_10,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiply(X_10,additive_identity))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
( add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(X_10,additive_identity)
| add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))
| multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))) ),[0],$fot(multiply(X_10,additive_identity))]]) ).
cnf(refute_0_245,plain,
( add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))
| multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(X_10,additive_identity)) )],[refute_0_243,refute_0_244]) ).
cnf(refute_0_246,plain,
multiply(X_10,additive_identity) = multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))) )],[refute_0_240,refute_0_245]) ).
cnf(refute_0_247,plain,
add(X,multiply(additive_identity,X_22)) = add(multiply(additive_identity,X_22),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,X_22)))]]) ).
cnf(refute_0_248,plain,
add(multiply(additive_identity,X_22),X) = multiply(X,add(X_22,X)),
inference(subst,[],[refute_0_195:[bind(X_11,$fot(X_22)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_249,plain,
( add(X,multiply(additive_identity,X_22)) != add(multiply(additive_identity,X_22),X)
| add(multiply(additive_identity,X_22),X) != multiply(X,add(X_22,X))
| add(X,multiply(additive_identity,X_22)) = multiply(X,add(X_22,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,X_22)),multiply(X,add(X_22,X))) ),[0],$fot(add(multiply(additive_identity,X_22),X))]]) ).
cnf(refute_0_250,plain,
( add(X,multiply(additive_identity,X_22)) != add(multiply(additive_identity,X_22),X)
| add(X,multiply(additive_identity,X_22)) = multiply(X,add(X_22,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X),multiply(X,add(X_22,X))) )],[refute_0_248,refute_0_249]) ).
cnf(refute_0_251,plain,
add(X,multiply(additive_identity,X_22)) = multiply(X,add(X_22,X)),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_22)),add(multiply(additive_identity,X_22),X)) )],[refute_0_247,refute_0_250]) ).
cnf(refute_0_252,plain,
( add(X,multiply(additive_identity,X_22)) != multiply(X,add(X_22,X))
| multiply(X,add(X_22,X)) = add(X,multiply(additive_identity,X_22)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(additive_identity,X_22)))),bind(Y0,$fot(multiply(X,add(X_22,X))))]]) ).
cnf(refute_0_253,plain,
multiply(X,add(X_22,X)) = add(X,multiply(additive_identity,X_22)),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_22)),multiply(X,add(X_22,X))) )],[refute_0_251,refute_0_252]) ).
cnf(refute_0_254,plain,
multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))) = add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_253:[bind(X,$fot(multiply(X_10,additive_identity))),bind(X_22,$fot(X_10))]]) ).
cnf(refute_0_255,plain,
( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))
| multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))) != add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))
| multiply(X_10,additive_identity) = add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))) ),[0],$fot(multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))))]]) ).
cnf(refute_0_256,plain,
( multiply(X_10,additive_identity) != multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))
| multiply(X_10,additive_identity) = add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity))),add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))) )],[refute_0_254,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(X_10,additive_identity) = add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(multiply(X_10,additive_identity),add(X_10,multiply(X_10,additive_identity)))) )],[refute_0_246,refute_0_256]) ).
cnf(refute_0_258,plain,
( X_37 != add(X_37,X_37)
| add(X_37,X_37) = X_37 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_37)),bind(Y0,$fot(add(X_37,X_37)))]]) ).
cnf(refute_0_259,plain,
add(X_37,X_37) = X_37,
inference(resolve,[$cnf( $equal(X_37,add(X_37,X_37)) )],[refute_0_126,refute_0_258]) ).
cnf(refute_0_260,plain,
add(X_10,X_10) = X_10,
inference(subst,[],[refute_0_259:[bind(X_37,$fot(X_10))]]) ).
cnf(refute_0_261,plain,
multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,add(X_10,X_10)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_10,X_10)))]]) ).
cnf(refute_0_262,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,add(X_10,X_10))
| add(X_10,X_10) != X_10
| multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,add(X_10,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_263,plain,
( add(X_10,X_10) != X_10
| multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,add(X_10,X_10))) )],[refute_0_261,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(add(X_10,X_10),X_10) )],[refute_0_260,refute_0_263]) ).
cnf(refute_0_265,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),add(X_10,multiply(additive_identity,X_47))),
inference(subst,[],[refute_0_171:[bind(X_12,$fot(multiply(additive_identity,X_47)))]]) ).
cnf(refute_0_266,plain,
add(X_30,multiply(additive_identity,X_32)) = multiply(add(X_30,additive_identity),add(X_30,X_32)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_30)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_267,plain,
add(X_30,additive_identity) = X_30,
inference(subst,[],[additive_id1:[bind(X,$fot(X_30))]]) ).
cnf(refute_0_268,plain,
( add(X_30,multiply(additive_identity,X_32)) != multiply(add(X_30,additive_identity),add(X_30,X_32))
| add(X_30,additive_identity) != X_30
| add(X_30,multiply(additive_identity,X_32)) = multiply(X_30,add(X_30,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(additive_identity,X_32)),multiply(add(X_30,additive_identity),add(X_30,X_32))) ),[1,0],$fot(X_30)]]) ).
cnf(refute_0_269,plain,
( add(X_30,multiply(additive_identity,X_32)) != multiply(add(X_30,additive_identity),add(X_30,X_32))
| add(X_30,multiply(additive_identity,X_32)) = multiply(X_30,add(X_30,X_32)) ),
inference(resolve,[$cnf( $equal(add(X_30,additive_identity),X_30) )],[refute_0_267,refute_0_268]) ).
cnf(refute_0_270,plain,
add(X_30,multiply(additive_identity,X_32)) = multiply(X_30,add(X_30,X_32)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(additive_identity,X_32)),multiply(add(X_30,additive_identity),add(X_30,X_32))) )],[refute_0_266,refute_0_269]) ).
cnf(refute_0_271,plain,
add(X_10,multiply(additive_identity,X_47)) = multiply(X_10,add(X_10,X_47)),
inference(subst,[],[refute_0_270:[bind(X_30,$fot(X_10)),bind(X_32,$fot(X_47))]]) ).
cnf(refute_0_272,plain,
( add(X_10,multiply(additive_identity,X_47)) != multiply(X_10,add(X_10,X_47))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),add(X_10,multiply(additive_identity,X_47)))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),add(X_10,multiply(additive_identity,X_47)))) ),[1,1],$fot(multiply(X_10,add(X_10,X_47)))]]) ).
cnf(refute_0_273,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),add(X_10,multiply(additive_identity,X_47)))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_47)),multiply(X_10,add(X_10,X_47))) )],[refute_0_271,refute_0_272]) ).
cnf(refute_0_274,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),add(X_10,multiply(additive_identity,X_47)))) )],[refute_0_265,refute_0_273]) ).
cnf(refute_0_275,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),add(X_11,multiply(additive_identity,X_47))),
inference(subst,[],[refute_0_195:[bind(X_12,$fot(multiply(additive_identity,X_47)))]]) ).
cnf(refute_0_276,plain,
add(X_11,multiply(additive_identity,X_47)) = multiply(X_11,add(X_11,X_47)),
inference(subst,[],[refute_0_270:[bind(X_30,$fot(X_11)),bind(X_32,$fot(X_47))]]) ).
cnf(refute_0_277,plain,
( add(X_11,multiply(additive_identity,X_47)) != multiply(X_11,add(X_11,X_47))
| add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),add(X_11,multiply(additive_identity,X_47)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),add(X_11,multiply(additive_identity,X_47)))) ),[1,1],$fot(multiply(X_11,add(X_11,X_47)))]]) ).
cnf(refute_0_278,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),add(X_11,multiply(additive_identity,X_47)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(additive_identity,X_47)),multiply(X_11,add(X_11,X_47))) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),add(X_11,multiply(additive_identity,X_47)))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_281,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity4,refute_0_280]) ).
cnf(refute_0_282,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) = multiply(additive_identity,add(X_11,X_47)),
inference(subst,[],[refute_0_281:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_47))]]) ).
cnf(refute_0_283,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) != multiply(additive_identity,add(X_11,X_47))
| multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))) ),[0],$fot(multiply(additive_identity,add(X_11,X_47)))]]) ).
cnf(refute_0_284,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))
| multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)),multiply(additive_identity,add(X_11,X_47))) )],[refute_0_282,refute_0_283]) ).
cnf(refute_0_285,plain,
multiply(additive_identity,add(X_11,X_47)) = multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))) )],[refute_0_279,refute_0_284]) ).
cnf(refute_0_286,plain,
( multiply(additive_identity,add(X_11,X_47)) != multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))
| multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) = multiply(additive_identity,add(X_11,X_47)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,add(X_11,X_47)))),bind(Y0,$fot(multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))))]]) ).
cnf(refute_0_287,plain,
multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47))) = multiply(additive_identity,add(X_11,X_47)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,X_47)),multiply(multiply(additive_identity,X_47),multiply(X_11,add(X_11,X_47)))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))) = multiply(additive_identity,add(X_10,X_47)),
inference(subst,[],[refute_0_287:[bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_289,plain,
( multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))) != multiply(additive_identity,add(X_10,X_47))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47)))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(additive_identity,add(X_10,X_47)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47)))) ),[1],$fot(multiply(additive_identity,add(X_10,X_47)))]]) ).
cnf(refute_0_290,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) != multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47)))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(additive_identity,add(X_10,X_47)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47))),multiply(additive_identity,add(X_10,X_47))) )],[refute_0_288,refute_0_289]) ).
cnf(refute_0_291,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)) = multiply(additive_identity,add(X_10,X_47)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_47)),multiply(multiply(additive_identity,X_47),multiply(X_10,add(X_10,X_47)))) )],[refute_0_274,refute_0_290]) ).
cnf(refute_0_292,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,add(X_10,X_10)),
inference(subst,[],[refute_0_291:[bind(X_47,$fot(X_10))]]) ).
cnf(refute_0_293,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,X_10)
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(X_10,X_10))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)))),bind(Y0,$fot(multiply(additive_identity,add(X_10,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_294,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,X_10)
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)),multiply(additive_identity,add(X_10,X_10))) )],[refute_0_292,refute_0_293]) ).
cnf(refute_0_295,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,X_10)) )],[refute_0_264,refute_0_294]) ).
cnf(refute_0_296,plain,
( multiply(X_10,additive_identity) != add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))
| add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) ),[0],$fot(add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_297,plain,
( multiply(X_10,additive_identity) != add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,X_10)),multiply(additive_identity,X_10)) )],[refute_0_295,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(X_10,additive_identity) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),multiply(additive_identity,X_10))) )],[refute_0_257,refute_0_297]) ).
cnf(refute_0_299,plain,
multiply(add(additive_identity,X_60),additive_identity) = multiply(additive_identity,add(additive_identity,X_60)),
inference(subst,[],[refute_0_298:[bind(X_10,$fot(add(additive_identity,X_60)))]]) ).
cnf(refute_0_300,plain,
( multiply(add(additive_identity,X_60),additive_identity) != multiply(additive_identity,add(additive_identity,X_60))
| multiply(additive_identity,add(additive_identity,X_60)) != additive_identity
| multiply(add(additive_identity,X_60),additive_identity) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(additive_identity,X_60),additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_60)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_301,plain,
( multiply(additive_identity,add(additive_identity,X_60)) != additive_identity
| multiply(add(additive_identity,X_60),additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_60),additive_identity),multiply(additive_identity,add(additive_identity,X_60))) )],[refute_0_299,refute_0_300]) ).
cnf(refute_0_302,plain,
multiply(add(additive_identity,X_60),additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_60)),additive_identity) )],[refute_0_239,refute_0_301]) ).
cnf(refute_0_303,plain,
( multiply(add(additive_identity,X_60),additive_identity) != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| multiply(add(additive_identity,X_60),additive_identity) != additive_identity
| additive_identity = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_identity,X_60),additive_identity),multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_304,plain,
( multiply(add(additive_identity,X_60),additive_identity) != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| additive_identity = multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_60),additive_identity),additive_identity) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_171:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_306,plain,
add(X,multiply(additive_identity,additive_identity)) = add(multiply(additive_identity,additive_identity),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_307,plain,
add(multiply(additive_identity,additive_identity),X) = multiply(X,X),
inference(subst,[],[refute_0_232:[bind(X_14,$fot(X))]]) ).
cnf(refute_0_308,plain,
( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
| add(multiply(additive_identity,additive_identity),X) != multiply(X,X)
| add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,additive_identity)),multiply(X,X)) ),[0],$fot(add(multiply(additive_identity,additive_identity),X))]]) ).
cnf(refute_0_309,plain,
( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
| add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X),multiply(X,X)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
add(X,multiply(additive_identity,additive_identity)) = multiply(X,X),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,additive_identity)),add(multiply(additive_identity,additive_identity),X)) )],[refute_0_306,refute_0_309]) ).
cnf(refute_0_311,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),
inference(subst,[],[refute_0_310:[bind(X,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_312,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))
| add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_313,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_305,refute_0_313]) ).
cnf(refute_0_315,plain,
add(additive_identity,X_10) = X_10,
inference(subst,[],[additive_id2:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_316,plain,
multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(additive_identity,X_10)))]]) ).
cnf(refute_0_317,plain,
( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| add(additive_identity,X_10) != X_10
| multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_318,plain,
( add(additive_identity,X_10) != X_10
| multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_316,refute_0_317]) ).
cnf(refute_0_319,plain,
multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(add(additive_identity,X_10),X_10) )],[refute_0_315,refute_0_318]) ).
cnf(refute_0_320,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
inference(subst,[],[refute_0_281:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_321,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_253:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_22,$fot(X_10))]]) ).
cnf(refute_0_322,plain,
( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,add(additive_identity,X_10))))]]) ).
cnf(refute_0_323,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_320,refute_0_323]) ).
cnf(refute_0_325,plain,
( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_326,plain,
( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_324,refute_0_325]) ).
cnf(refute_0_327,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,X_10)) )],[refute_0_319,refute_0_326]) ).
cnf(refute_0_328,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,X_10)
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_329,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,X_10)) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_314,refute_0_329]) ).
cnf(refute_0_331,plain,
multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) = multiply(additive_identity,X_60),
inference(subst,[],[refute_0_330:[bind(X_10,$fot(X_60))]]) ).
cnf(refute_0_332,plain,
( multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)) != multiply(additive_identity,X_60)
| additive_identity != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| additive_identity = multiply(additive_identity,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) ),[1],$fot(multiply(additive_identity,X_60))]]) ).
cnf(refute_0_333,plain,
( additive_identity != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| additive_identity = multiply(additive_identity,X_60) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity)),multiply(additive_identity,X_60)) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
( multiply(add(additive_identity,X_60),additive_identity) != multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))
| additive_identity = multiply(additive_identity,X_60) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) )],[refute_0_304,refute_0_333]) ).
cnf(refute_0_335,plain,
additive_identity = multiply(additive_identity,X_60),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_60),additive_identity),multiply(multiply(X_60,additive_identity),multiply(X_60,additive_identity))) )],[refute_0_236,refute_0_334]) ).
cnf(refute_0_336,plain,
( additive_identity != multiply(additive_identity,X_60)
| multiply(additive_identity,X_60) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_60)))]]) ).
cnf(refute_0_337,plain,
multiply(additive_identity,X_60) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_60)) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
multiply(additive_identity,X_22) = additive_identity,
inference(subst,[],[refute_0_337:[bind(X_60,$fot(X_22))]]) ).
cnf(refute_0_339,plain,
add(multiply(additive_identity,X_22),X_60) = add(multiply(additive_identity,X_22),X_60),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_22),X_60))]]) ).
cnf(refute_0_340,plain,
( multiply(additive_identity,X_22) != additive_identity
| add(multiply(additive_identity,X_22),X_60) != add(multiply(additive_identity,X_22),X_60)
| add(multiply(additive_identity,X_22),X_60) = add(additive_identity,X_60) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_22),X_60),add(multiply(additive_identity,X_22),X_60)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_341,plain,
( multiply(additive_identity,X_22) != additive_identity
| add(multiply(additive_identity,X_22),X_60) = add(additive_identity,X_60) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X_60),add(multiply(additive_identity,X_22),X_60)) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
add(multiply(additive_identity,X_22),X_60) = add(additive_identity,X_60),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_22),additive_identity) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( add(multiply(additive_identity,X_22),X_60) != add(additive_identity,X_60)
| add(additive_identity,X_60) != X_60
| add(multiply(additive_identity,X_22),X_60) = X_60 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(additive_identity,X_22),X_60))),bind(Y0,$fot(add(additive_identity,X_60))),bind(Z0,$fot(X_60))]]) ).
cnf(refute_0_344,plain,
( add(additive_identity,X_60) != X_60
| add(multiply(additive_identity,X_22),X_60) = X_60 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X_60),add(additive_identity,X_60)) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
add(multiply(additive_identity,X_22),X_60) = X_60,
inference(resolve,[$cnf( $equal(add(additive_identity,X_60),X_60) )],[refute_0_226,refute_0_344]) ).
cnf(refute_0_346,plain,
add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),
introduced(tautology,[refl,[$fot(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)))]]) ).
cnf(refute_0_347,plain,
( add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) != add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))
| add(multiply(additive_identity,X_22),X_60) != X_60
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(multiply(X_59,add(X_60,X_22)),X_60) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))) ),[1,1],$fot(X_60)]]) ).
cnf(refute_0_348,plain,
( add(multiply(additive_identity,X_22),X_60) != X_60
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(multiply(X_59,add(X_60,X_22)),X_60) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))) )],[refute_0_346,refute_0_347]) ).
cnf(refute_0_349,plain,
add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(multiply(X_59,add(X_60,X_22)),X_60),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_22),X_60),X_60) )],[refute_0_345,refute_0_348]) ).
cnf(refute_0_350,plain,
( add(multiply(X_59,add(X_60,X_22)),X_60) != add(X_60,multiply(X_59,add(X_60,X_22)))
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) != add(multiply(X_59,add(X_60,X_22)),X_60)
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(X_60,multiply(X_59,add(X_60,X_22))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)))),bind(Y0,$fot(add(multiply(X_59,add(X_60,X_22)),X_60))),bind(Z0,$fot(add(X_60,multiply(X_59,add(X_60,X_22)))))]]) ).
cnf(refute_0_351,plain,
( add(multiply(X_59,add(X_60,X_22)),X_60) != add(X_60,multiply(X_59,add(X_60,X_22)))
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(X_60,multiply(X_59,add(X_60,X_22))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),add(multiply(X_59,add(X_60,X_22)),X_60)) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) = add(X_60,multiply(X_59,add(X_60,X_22))),
inference(resolve,[$cnf( $equal(add(multiply(X_59,add(X_60,X_22)),X_60),add(X_60,multiply(X_59,add(X_60,X_22)))) )],[refute_0_225,refute_0_351]) ).
cnf(refute_0_353,plain,
( add(multiply(X_59,X_22),X_60) != add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))
| add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)) != add(X_60,multiply(X_59,add(X_60,X_22)))
| add(multiply(X_59,X_22),X_60) = add(X_60,multiply(X_59,add(X_60,X_22))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_59,X_22),X_60),add(X_60,multiply(X_59,add(X_60,X_22)))) ),[0],$fot(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)))]]) ).
cnf(refute_0_354,plain,
( add(multiply(X_59,X_22),X_60) != add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))
| add(multiply(X_59,X_22),X_60) = add(X_60,multiply(X_59,add(X_60,X_22))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60)),add(X_60,multiply(X_59,add(X_60,X_22)))) )],[refute_0_352,refute_0_353]) ).
cnf(refute_0_355,plain,
add(multiply(X_59,X_22),X_60) = add(X_60,multiply(X_59,add(X_60,X_22))),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_22),X_60),add(multiply(X_59,add(X_60,X_22)),add(multiply(additive_identity,X_22),X_60))) )],[refute_0_221,refute_0_354]) ).
cnf(refute_0_356,plain,
( add(multiply(X_59,X_22),X_60) != add(X_60,multiply(X_59,add(X_60,X_22)))
| add(X_60,multiply(X_59,add(X_60,X_22))) = add(multiply(X_59,X_22),X_60) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_59,X_22),X_60))),bind(Y0,$fot(add(X_60,multiply(X_59,add(X_60,X_22)))))]]) ).
cnf(refute_0_357,plain,
add(X_60,multiply(X_59,add(X_60,X_22))) = add(multiply(X_59,X_22),X_60),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_22),X_60),add(X_60,multiply(X_59,add(X_60,X_22)))) )],[refute_0_355,refute_0_356]) ).
cnf(refute_0_358,plain,
add(X_59,multiply(X_60,add(X_59,X_13))) = add(multiply(X_60,X_13),X_59),
inference(subst,[],[refute_0_357:[bind(X_22,$fot(X_13)),bind(X_59,$fot(X_60)),bind(X_60,$fot(X_59))]]) ).
cnf(refute_0_359,plain,
add(additive_identity,X_59) = X_59,
inference(subst,[],[additive_id2:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_360,plain,
add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)),
inference(subst,[],[refute_0_310:[bind(X,$fot(multiply(X_44,X_44)))]]) ).
cnf(refute_0_361,plain,
add(multiply(Y,Y),Z) = multiply(add(Y,Z),add(Y,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_362,plain,
add(Y,multiply(Z,Z)) = multiply(add(Y,Z),add(Y,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Y)),bind(Y,$fot(Z))]]) ).
cnf(refute_0_363,plain,
( add(Y,multiply(Z,Z)) != multiply(add(Y,Z),add(Y,Z))
| multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,multiply(Z,Z)))),bind(Y0,$fot(multiply(add(Y,Z),add(Y,Z))))]]) ).
cnf(refute_0_364,plain,
multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Z,Z)),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_362,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(add(Y,Z),add(Y,Z)) != add(Y,multiply(Z,Z))
| add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) ),[1],$fot(add(Y,multiply(Z,Z)))]]) ).
cnf(refute_0_366,plain,
( add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Y,Z)),add(Y,multiply(Z,Z))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_361,refute_0_366]) ).
cnf(refute_0_368,plain,
add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)) = add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_367:[bind(Y,$fot(X_44)),bind(Z,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_369,plain,
( add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)) != add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) ),[0],$fot(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_370,plain,
( add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)),add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)),
inference(resolve,[$cnf( $equal(add(multiply(X_44,X_44),multiply(additive_identity,additive_identity)),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) )],[refute_0_360,refute_0_370]) ).
cnf(refute_0_372,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_195:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_373,plain,
add(X_11,multiply(additive_identity,additive_identity)) = multiply(X_11,X_11),
inference(subst,[],[refute_0_310:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_374,plain,
( add(X_11,multiply(additive_identity,additive_identity)) != multiply(X_11,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(X_11,X_11))]]) ).
cnf(refute_0_375,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(additive_identity,additive_identity)),multiply(X_11,X_11)) )],[refute_0_373,refute_0_374]) ).
cnf(refute_0_376,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) )],[refute_0_372,refute_0_375]) ).
cnf(refute_0_377,plain,
add(X_11,additive_identity) = X_11,
inference(subst,[],[additive_id1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_378,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_11,additive_identity)))]]) ).
cnf(refute_0_379,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$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_380,plain,
( add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_378,refute_0_379]) ).
cnf(refute_0_381,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(add(X_11,additive_identity),X_11) )],[refute_0_377,refute_0_380]) ).
cnf(refute_0_382,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(subst,[],[refute_0_281:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_383,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(additive_identity,add(X_11,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_11)))]]) ).
cnf(refute_0_384,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_382,refute_0_383]) ).
cnf(refute_0_385,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_381,refute_0_384]) ).
cnf(refute_0_386,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,X_11)
| multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) ),[0],$fot(multiply(additive_identity,X_11))]]) ).
cnf(refute_0_387,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_385,refute_0_386]) ).
cnf(refute_0_388,plain,
multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) )],[refute_0_376,refute_0_387]) ).
cnf(refute_0_389,plain,
( multiply(additive_identity,X_11) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,X_11))),bind(Y0,$fot(multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))))]]) ).
cnf(refute_0_390,plain,
multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) )],[refute_0_388,refute_0_389]) ).
cnf(refute_0_391,plain,
multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) = multiply(additive_identity,additive_identity),
inference(subst,[],[refute_0_390:[bind(X_11,$fot(additive_identity))]]) ).
cnf(refute_0_392,plain,
add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_393,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_44,multiply(additive_identity,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,additive_identity))]]) ).
cnf(refute_0_394,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_44,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_392,refute_0_393]) ).
cnf(refute_0_395,plain,
add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_44,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity)) )],[refute_0_391,refute_0_394]) ).
cnf(refute_0_396,plain,
( add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(X_44,multiply(additive_identity,additive_identity))
| add(X_44,multiply(additive_identity,additive_identity)) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) ),[0],$fot(add(X_44,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_397,plain,
( add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| add(X_44,multiply(additive_identity,additive_identity)) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
inference(resolve,[$cnf( $equal(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_44,multiply(additive_identity,additive_identity))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
add(X_44,multiply(additive_identity,additive_identity)) = multiply(multiply(X_44,X_44),multiply(X_44,X_44)),
inference(resolve,[$cnf( $equal(add(X_44,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) )],[refute_0_371,refute_0_397]) ).
cnf(refute_0_399,plain,
add(X,multiply(Y,multiply(additive_identity,X_47))) = multiply(add(X,Y),add(X,multiply(additive_identity,X_47))),
inference(subst,[],[distributivity2:[bind(Z,$fot(multiply(additive_identity,X_47)))]]) ).
cnf(refute_0_400,plain,
add(X,multiply(additive_identity,X_47)) = multiply(X,add(X,X_47)),
inference(subst,[],[refute_0_270:[bind(X_30,$fot(X)),bind(X_32,$fot(X_47))]]) ).
cnf(refute_0_401,plain,
( add(X,multiply(Y,multiply(additive_identity,X_47))) != multiply(add(X,Y),add(X,multiply(additive_identity,X_47)))
| add(X,multiply(additive_identity,X_47)) != multiply(X,add(X,X_47))
| add(X,multiply(Y,multiply(additive_identity,X_47))) = multiply(add(X,Y),multiply(X,add(X,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),multiply(add(X,Y),add(X,multiply(additive_identity,X_47)))) ),[1,1],$fot(multiply(X,add(X,X_47)))]]) ).
cnf(refute_0_402,plain,
( add(X,multiply(Y,multiply(additive_identity,X_47))) != multiply(add(X,Y),add(X,multiply(additive_identity,X_47)))
| add(X,multiply(Y,multiply(additive_identity,X_47))) = multiply(add(X,Y),multiply(X,add(X,X_47))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_47)),multiply(X,add(X,X_47))) )],[refute_0_400,refute_0_401]) ).
cnf(refute_0_403,plain,
add(X,multiply(Y,multiply(additive_identity,X_47))) = multiply(add(X,Y),multiply(X,add(X,X_47))),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),multiply(add(X,Y),add(X,multiply(additive_identity,X_47)))) )],[refute_0_399,refute_0_402]) ).
cnf(refute_0_404,plain,
multiply(additive_identity,X_47) = additive_identity,
inference(subst,[],[refute_0_337:[bind(X_60,$fot(X_47))]]) ).
cnf(refute_0_405,plain,
multiply(Y,multiply(additive_identity,X_47)) = multiply(Y,multiply(additive_identity,X_47)),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(additive_identity,X_47)))]]) ).
cnf(refute_0_406,plain,
( multiply(Y,multiply(additive_identity,X_47)) != multiply(Y,multiply(additive_identity,X_47))
| multiply(additive_identity,X_47) != additive_identity
| multiply(Y,multiply(additive_identity,X_47)) = multiply(Y,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_47)),multiply(Y,multiply(additive_identity,X_47))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_407,plain,
( multiply(additive_identity,X_47) != additive_identity
| multiply(Y,multiply(additive_identity,X_47)) = multiply(Y,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_47)),multiply(Y,multiply(additive_identity,X_47))) )],[refute_0_405,refute_0_406]) ).
cnf(refute_0_408,plain,
multiply(Y,multiply(additive_identity,X_47)) = multiply(Y,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_47),additive_identity) )],[refute_0_404,refute_0_407]) ).
cnf(refute_0_409,plain,
add(X,multiply(Y,multiply(additive_identity,X_47))) = add(X,multiply(Y,multiply(additive_identity,X_47))),
introduced(tautology,[refl,[$fot(add(X,multiply(Y,multiply(additive_identity,X_47))))]]) ).
cnf(refute_0_410,plain,
( multiply(Y,multiply(additive_identity,X_47)) != multiply(Y,additive_identity)
| add(X,multiply(Y,multiply(additive_identity,X_47))) != add(X,multiply(Y,multiply(additive_identity,X_47)))
| add(X,multiply(Y,multiply(additive_identity,X_47))) = add(X,multiply(Y,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),add(X,multiply(Y,multiply(additive_identity,X_47)))) ),[1,1],$fot(multiply(Y,additive_identity))]]) ).
cnf(refute_0_411,plain,
( multiply(Y,multiply(additive_identity,X_47)) != multiply(Y,additive_identity)
| add(X,multiply(Y,multiply(additive_identity,X_47))) = add(X,multiply(Y,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),add(X,multiply(Y,multiply(additive_identity,X_47)))) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
add(X,multiply(Y,multiply(additive_identity,X_47))) = add(X,multiply(Y,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_47)),multiply(Y,additive_identity)) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
( add(X,multiply(Y,multiply(additive_identity,X_47))) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| add(X,multiply(Y,multiply(additive_identity,X_47))) != add(X,multiply(Y,additive_identity))
| add(X,multiply(Y,additive_identity)) = multiply(add(X,Y),multiply(X,add(X,X_47))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),multiply(add(X,Y),multiply(X,add(X,X_47)))) ),[0],$fot(add(X,multiply(Y,additive_identity)))]]) ).
cnf(refute_0_414,plain,
( add(X,multiply(Y,multiply(additive_identity,X_47))) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| add(X,multiply(Y,additive_identity)) = multiply(add(X,Y),multiply(X,add(X,X_47))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),add(X,multiply(Y,additive_identity))) )],[refute_0_412,refute_0_413]) ).
cnf(refute_0_415,plain,
multiply(X,add(X,Y)) = X,
inference(subst,[],[refute_0_238:[bind(X_59,$fot(Y)),bind(X_61,$fot(X))]]) ).
cnf(refute_0_416,plain,
multiply(add(X,Y),X) = multiply(X,add(X,Y)),
inference(subst,[],[refute_0_134:[bind(Y,$fot(add(X,Y)))]]) ).
cnf(refute_0_417,plain,
( multiply(X,add(X,Y)) != X
| multiply(add(X,Y),X) != multiply(X,add(X,Y))
| multiply(add(X,Y),X) = X ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X,Y),X))),bind(Y0,$fot(multiply(X,add(X,Y)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_418,plain,
( multiply(X,add(X,Y)) != X
| multiply(add(X,Y),X) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),X),multiply(X,add(X,Y))) )],[refute_0_416,refute_0_417]) ).
cnf(refute_0_419,plain,
multiply(add(X,Y),X) = X,
inference(resolve,[$cnf( $equal(multiply(X,add(X,Y)),X) )],[refute_0_415,refute_0_418]) ).
cnf(refute_0_420,plain,
multiply(X,add(X,X_47)) = X,
inference(subst,[],[refute_0_238:[bind(X_59,$fot(X_47)),bind(X_61,$fot(X))]]) ).
cnf(refute_0_421,plain,
multiply(add(X,Y),multiply(X,add(X,X_47))) = multiply(add(X,Y),multiply(X,add(X,X_47))),
introduced(tautology,[refl,[$fot(multiply(add(X,Y),multiply(X,add(X,X_47))))]]) ).
cnf(refute_0_422,plain,
( multiply(X,add(X,X_47)) != X
| multiply(add(X,Y),multiply(X,add(X,X_47))) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| multiply(add(X,Y),multiply(X,add(X,X_47))) = multiply(add(X,Y),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_47))),multiply(add(X,Y),multiply(X,add(X,X_47)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_423,plain,
( multiply(X,add(X,X_47)) != X
| multiply(add(X,Y),multiply(X,add(X,X_47))) = multiply(add(X,Y),X) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_47))),multiply(add(X,Y),multiply(X,add(X,X_47)))) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
multiply(add(X,Y),multiply(X,add(X,X_47))) = multiply(add(X,Y),X),
inference(resolve,[$cnf( $equal(multiply(X,add(X,X_47)),X) )],[refute_0_420,refute_0_423]) ).
cnf(refute_0_425,plain,
( multiply(add(X,Y),X) != X
| multiply(add(X,Y),multiply(X,add(X,X_47))) != multiply(add(X,Y),X)
| multiply(add(X,Y),multiply(X,add(X,X_47))) = X ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X,Y),multiply(X,add(X,X_47))))),bind(Y0,$fot(multiply(add(X,Y),X))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_426,plain,
( multiply(add(X,Y),X) != X
| multiply(add(X,Y),multiply(X,add(X,X_47))) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_47))),multiply(add(X,Y),X)) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(add(X,Y),multiply(X,add(X,X_47))) = X,
inference(resolve,[$cnf( $equal(multiply(add(X,Y),X),X) )],[refute_0_419,refute_0_426]) ).
cnf(refute_0_428,plain,
( multiply(add(X,Y),multiply(X,add(X,X_47))) != X
| add(X,multiply(Y,additive_identity)) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| add(X,multiply(Y,additive_identity)) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,additive_identity)),multiply(add(X,Y),multiply(X,add(X,X_47)))) ),[1],$fot(X)]]) ).
cnf(refute_0_429,plain,
( add(X,multiply(Y,additive_identity)) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| add(X,multiply(Y,additive_identity)) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_47))),X) )],[refute_0_427,refute_0_428]) ).
cnf(refute_0_430,plain,
( add(X,multiply(Y,multiply(additive_identity,X_47))) != multiply(add(X,Y),multiply(X,add(X,X_47)))
| add(X,multiply(Y,additive_identity)) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,additive_identity)),multiply(add(X,Y),multiply(X,add(X,X_47)))) )],[refute_0_414,refute_0_429]) ).
cnf(refute_0_431,plain,
add(X,multiply(Y,additive_identity)) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_47))),multiply(add(X,Y),multiply(X,add(X,X_47)))) )],[refute_0_403,refute_0_430]) ).
cnf(refute_0_432,plain,
add(X_44,multiply(additive_identity,additive_identity)) = X_44,
inference(subst,[],[refute_0_431:[bind(X,$fot(X_44)),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_433,plain,
( add(X_44,multiply(additive_identity,additive_identity)) != X_44
| add(X_44,multiply(additive_identity,additive_identity)) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| X_44 = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_44,multiply(additive_identity,additive_identity)),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) ),[0],$fot(X_44)]]) ).
cnf(refute_0_434,plain,
( add(X_44,multiply(additive_identity,additive_identity)) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| X_44 = multiply(multiply(X_44,X_44),multiply(X_44,X_44)) ),
inference(resolve,[$cnf( $equal(add(X_44,multiply(additive_identity,additive_identity)),X_44) )],[refute_0_432,refute_0_433]) ).
cnf(refute_0_435,plain,
add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity))),
inference(subst,[],[distributivity1:[bind(Z,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_436,plain,
( add(X,multiply(additive_identity,additive_identity)) != multiply(X,X)
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))) ),[1,0],$fot(multiply(X,X))]]) ).
cnf(refute_0_437,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,additive_identity)),multiply(X,X)) )],[refute_0_310,refute_0_436]) ).
cnf(refute_0_438,plain,
add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_435,refute_0_437]) ).
cnf(refute_0_439,plain,
add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(X,Y),
inference(subst,[],[refute_0_431:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_440,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(X,Y)
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| multiply(X,Y) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_441,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| multiply(X,Y) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(X,Y)) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
add(Y,multiply(additive_identity,additive_identity)) = Y,
inference(subst,[],[refute_0_431:[bind(X,$fot(Y)),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_443,plain,
multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) = multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_444,plain,
( multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| add(Y,multiply(additive_identity,additive_identity)) != Y
| multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) = multiply(multiply(X,X),Y) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))),multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(Y)]]) ).
cnf(refute_0_445,plain,
( add(Y,multiply(additive_identity,additive_identity)) != Y
| multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) = multiply(multiply(X,X),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))),multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) = multiply(multiply(X,X),Y),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),Y) )],[refute_0_442,refute_0_445]) ).
cnf(refute_0_447,plain,
( multiply(X,Y) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))) != multiply(multiply(X,X),Y)
| multiply(X,Y) = multiply(multiply(X,X),Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(multiply(X,X),Y)) ),[0],$fot(multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_448,plain,
( multiply(X,Y) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| multiply(X,Y) = multiply(multiply(X,X),Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity))),multiply(multiply(X,X),Y)) )],[refute_0_446,refute_0_447]) ).
cnf(refute_0_449,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))
| multiply(X,Y) = multiply(multiply(X,X),Y) ),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_441,refute_0_448]) ).
cnf(refute_0_450,plain,
multiply(X,Y) = multiply(multiply(X,X),Y),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(multiply(X,X),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_438,refute_0_449]) ).
cnf(refute_0_451,plain,
( multiply(X,Y) != multiply(multiply(X,X),Y)
| multiply(multiply(X,X),Y) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(multiply(X,X),Y)))]]) ).
cnf(refute_0_452,plain,
multiply(multiply(X,X),Y) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(multiply(X,X),Y)) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(multiply(X_44,X_44),X_44) = multiply(X_44,X_44),
inference(subst,[],[refute_0_452:[bind(X,$fot(X_44)),bind(Y,$fot(X_44))]]) ).
cnf(refute_0_454,plain,
add(Y,multiply(additive_identity,additive_identity)) = multiply(Y,Y),
inference(subst,[],[refute_0_310:[bind(X,$fot(Y))]]) ).
cnf(refute_0_455,plain,
( add(Y,multiply(additive_identity,additive_identity)) != multiply(Y,Y)
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(Y,Y))]]) ).
cnf(refute_0_456,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),multiply(Y,Y)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
add(multiply(X,Y),multiply(additive_identity,additive_identity)) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_435,refute_0_456]) ).
cnf(refute_0_458,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(X,Y)
| add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| multiply(X,Y) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))) ),[0],$fot(multiply(X,Y))]]) ).
cnf(refute_0_459,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| multiply(X,Y) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(X,Y)) )],[refute_0_439,refute_0_458]) ).
cnf(refute_0_460,plain,
add(X,multiply(additive_identity,additive_identity)) = X,
inference(subst,[],[refute_0_431:[bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_461,plain,
multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) = multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)),
introduced(tautology,[refl,[$fot(multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)))]]) ).
cnf(refute_0_462,plain,
( multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| add(X,multiply(additive_identity,additive_identity)) != X
| multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) = multiply(X,multiply(Y,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)),multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_463,plain,
( add(X,multiply(additive_identity,additive_identity)) != X
| multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) = multiply(X,multiply(Y,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)),multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) = multiply(X,multiply(Y,Y)),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,additive_identity)),X) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiply(X,Y) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)) != multiply(X,multiply(Y,Y))
| multiply(X,Y) = multiply(X,multiply(Y,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,Y),multiply(X,multiply(Y,Y))) ),[0],$fot(multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)))]]) ).
cnf(refute_0_466,plain,
( multiply(X,Y) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| multiply(X,Y) = multiply(X,multiply(Y,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y)),multiply(X,multiply(Y,Y))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
( add(multiply(X,Y),multiply(additive_identity,additive_identity)) != multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))
| multiply(X,Y) = multiply(X,multiply(Y,Y)) ),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))) )],[refute_0_459,refute_0_466]) ).
cnf(refute_0_468,plain,
multiply(X,Y) = multiply(X,multiply(Y,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(additive_identity,additive_identity)),multiply(add(X,multiply(additive_identity,additive_identity)),multiply(Y,Y))) )],[refute_0_457,refute_0_467]) ).
cnf(refute_0_469,plain,
( multiply(X,Y) != multiply(X,multiply(Y,Y))
| multiply(X,multiply(Y,Y)) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(X,multiply(Y,Y))))]]) ).
cnf(refute_0_470,plain,
multiply(X,multiply(Y,Y)) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(X,multiply(Y,Y))) )],[refute_0_468,refute_0_469]) ).
cnf(refute_0_471,plain,
multiply(multiply(X_44,X_44),multiply(X_44,X_44)) = multiply(multiply(X_44,X_44),X_44),
inference(subst,[],[refute_0_470:[bind(X,$fot(multiply(X_44,X_44))),bind(Y,$fot(X_44))]]) ).
cnf(refute_0_472,plain,
( multiply(multiply(X_44,X_44),X_44) != multiply(X_44,X_44)
| multiply(multiply(X_44,X_44),multiply(X_44,X_44)) != multiply(multiply(X_44,X_44),X_44)
| multiply(multiply(X_44,X_44),multiply(X_44,X_44)) = multiply(X_44,X_44) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_44,X_44),multiply(X_44,X_44)))),bind(Y0,$fot(multiply(multiply(X_44,X_44),X_44))),bind(Z0,$fot(multiply(X_44,X_44)))]]) ).
cnf(refute_0_473,plain,
( multiply(multiply(X_44,X_44),X_44) != multiply(X_44,X_44)
| multiply(multiply(X_44,X_44),multiply(X_44,X_44)) = multiply(X_44,X_44) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_44,X_44),multiply(X_44,X_44)),multiply(multiply(X_44,X_44),X_44)) )],[refute_0_471,refute_0_472]) ).
cnf(refute_0_474,plain,
multiply(multiply(X_44,X_44),multiply(X_44,X_44)) = multiply(X_44,X_44),
inference(resolve,[$cnf( $equal(multiply(multiply(X_44,X_44),X_44),multiply(X_44,X_44)) )],[refute_0_453,refute_0_473]) ).
cnf(refute_0_475,plain,
( X_44 != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| multiply(multiply(X_44,X_44),multiply(X_44,X_44)) != multiply(X_44,X_44)
| X_44 = multiply(X_44,X_44) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_44,multiply(X_44,X_44)) ),[0],$fot(multiply(multiply(X_44,X_44),multiply(X_44,X_44)))]]) ).
cnf(refute_0_476,plain,
( X_44 != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| X_44 = multiply(X_44,X_44) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_44,X_44),multiply(X_44,X_44)),multiply(X_44,X_44)) )],[refute_0_474,refute_0_475]) ).
cnf(refute_0_477,plain,
( add(X_44,multiply(additive_identity,additive_identity)) != multiply(multiply(X_44,X_44),multiply(X_44,X_44))
| X_44 = multiply(X_44,X_44) ),
inference(resolve,[$cnf( $equal(X_44,multiply(multiply(X_44,X_44),multiply(X_44,X_44))) )],[refute_0_434,refute_0_476]) ).
cnf(refute_0_478,plain,
X_44 = multiply(X_44,X_44),
inference(resolve,[$cnf( $equal(add(X_44,multiply(additive_identity,additive_identity)),multiply(multiply(X_44,X_44),multiply(X_44,X_44))) )],[refute_0_398,refute_0_477]) ).
cnf(refute_0_479,plain,
( X_44 != multiply(X_44,X_44)
| multiply(X_44,X_44) = X_44 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_44)),bind(Y0,$fot(multiply(X_44,X_44)))]]) ).
cnf(refute_0_480,plain,
multiply(X_44,X_44) = X_44,
inference(resolve,[$cnf( $equal(X_44,multiply(X_44,X_44)) )],[refute_0_478,refute_0_479]) ).
cnf(refute_0_481,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(X_10,additive_identity),
inference(subst,[],[refute_0_480:[bind(X_44,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_482,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(X_10,additive_identity)
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) ),[0],$fot(multiply(X_10,additive_identity))]]) ).
cnf(refute_0_483,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(X_10,additive_identity)) )],[refute_0_481,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(additive_identity,X_10) = additive_identity,
inference(subst,[],[refute_0_337:[bind(X_60,$fot(X_10))]]) ).
cnf(refute_0_485,plain,
( multiply(X_10,additive_identity) != multiply(additive_identity,X_10)
| multiply(additive_identity,X_10) != additive_identity
| multiply(X_10,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),additive_identity) ),[0],$fot(multiply(additive_identity,X_10))]]) ).
cnf(refute_0_486,plain,
( multiply(X_10,additive_identity) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_10),additive_identity) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) )],[refute_0_483,refute_0_486]) ).
cnf(refute_0_488,plain,
multiply(X_10,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) )],[refute_0_330,refute_0_487]) ).
cnf(refute_0_489,plain,
multiply(X_13,additive_identity) = additive_identity,
inference(subst,[],[refute_0_488:[bind(X_10,$fot(X_13))]]) ).
cnf(refute_0_490,plain,
add(multiply(X_13,additive_identity),X_59) = add(multiply(X_13,additive_identity),X_59),
introduced(tautology,[refl,[$fot(add(multiply(X_13,additive_identity),X_59))]]) ).
cnf(refute_0_491,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(multiply(X_13,additive_identity),X_59) != add(multiply(X_13,additive_identity),X_59)
| add(multiply(X_13,additive_identity),X_59) = add(additive_identity,X_59) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_59),add(multiply(X_13,additive_identity),X_59)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_492,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(multiply(X_13,additive_identity),X_59) = add(additive_identity,X_59) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_59),add(multiply(X_13,additive_identity),X_59)) )],[refute_0_490,refute_0_491]) ).
cnf(refute_0_493,plain,
add(multiply(X_13,additive_identity),X_59) = add(additive_identity,X_59),
inference(resolve,[$cnf( $equal(multiply(X_13,additive_identity),additive_identity) )],[refute_0_489,refute_0_492]) ).
cnf(refute_0_494,plain,
( add(multiply(X_13,additive_identity),X_59) != add(additive_identity,X_59)
| add(additive_identity,X_59) != X_59
| add(multiply(X_13,additive_identity),X_59) = X_59 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_13,additive_identity),X_59))),bind(Y0,$fot(add(additive_identity,X_59))),bind(Z0,$fot(X_59))]]) ).
cnf(refute_0_495,plain,
( add(additive_identity,X_59) != X_59
| add(multiply(X_13,additive_identity),X_59) = X_59 ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_59),add(additive_identity,X_59)) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
add(multiply(X_13,additive_identity),X_59) = X_59,
inference(resolve,[$cnf( $equal(add(additive_identity,X_59),X_59) )],[refute_0_359,refute_0_495]) ).
cnf(refute_0_497,plain,
add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),
introduced(tautology,[refl,[$fot(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))))]]) ).
cnf(refute_0_498,plain,
( add(multiply(X_13,additive_identity),X_59) != X_59
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) != add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(X_59,multiply(X_60,add(X_59,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))) ),[1,0],$fot(X_59)]]) ).
cnf(refute_0_499,plain,
( add(multiply(X_13,additive_identity),X_59) != X_59
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(X_59,multiply(X_60,add(X_59,X_13))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(X_59,multiply(X_60,add(X_59,X_13))),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_59),X_59) )],[refute_0_496,refute_0_499]) ).
cnf(refute_0_501,plain,
( add(X_59,multiply(X_60,add(X_59,X_13))) != add(multiply(X_60,X_13),X_59)
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) != add(X_59,multiply(X_60,add(X_59,X_13)))
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(multiply(X_60,X_13),X_59) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))))),bind(Y0,$fot(add(X_59,multiply(X_60,add(X_59,X_13))))),bind(Z0,$fot(add(multiply(X_60,X_13),X_59)))]]) ).
cnf(refute_0_502,plain,
( add(X_59,multiply(X_60,add(X_59,X_13))) != add(multiply(X_60,X_13),X_59)
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(multiply(X_60,X_13),X_59) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),add(X_59,multiply(X_60,add(X_59,X_13)))) )],[refute_0_500,refute_0_501]) ).
cnf(refute_0_503,plain,
add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) = add(multiply(X_60,X_13),X_59),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,add(X_59,X_13))),add(multiply(X_60,X_13),X_59)) )],[refute_0_358,refute_0_502]) ).
cnf(refute_0_504,plain,
( add(X_59,multiply(X_60,X_13)) != add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))
| add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))) != add(multiply(X_60,X_13),X_59)
| add(X_59,multiply(X_60,X_13)) = add(multiply(X_60,X_13),X_59) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_59,multiply(X_60,X_13)),add(multiply(X_60,X_13),X_59)) ),[0],$fot(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))))]]) ).
cnf(refute_0_505,plain,
( add(X_59,multiply(X_60,X_13)) != add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))
| add(X_59,multiply(X_60,X_13)) = add(multiply(X_60,X_13),X_59) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13))),add(multiply(X_60,X_13),X_59)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
add(X_59,multiply(X_60,X_13)) = add(multiply(X_60,X_13),X_59),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,X_13)),add(add(multiply(X_13,additive_identity),X_59),multiply(X_60,add(X_59,X_13)))) )],[refute_0_190,refute_0_505]) ).
cnf(refute_0_507,plain,
add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))),
inference(subst,[],[refute_0_506:[bind(X_13,$fot(X_87)),bind(X_59,$fot(inverse(multiply(X_86,X_87)))),bind(X_60,$fot(X_86))]]) ).
cnf(refute_0_508,plain,
( add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))) != multiplicative_identity
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) != add(multiply(X_86,X_87),inverse(multiply(X_86,X_87)))
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = multiplicative_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)))),bind(Y0,$fot(add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_509,plain,
( add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))) != multiplicative_identity
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)),add(multiply(X_86,X_87),inverse(multiply(X_86,X_87)))) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(multiply(X_86,X_87),inverse(multiply(X_86,X_87))),multiplicative_identity) )],[refute_0_161,refute_0_509]) ).
cnf(refute_0_511,plain,
( add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) != multiplicative_identity
| multiplicative_identity = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)),add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_512,plain,
( add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| multiplicative_identity = add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)),multiplicative_identity) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
( add(X_59,multiply(X_60,X_13)) != add(multiply(X_60,X_13),X_59)
| add(multiply(X_60,X_13),X_59) = add(X_59,multiply(X_60,X_13)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_59,multiply(X_60,X_13)))),bind(Y0,$fot(add(multiply(X_60,X_13),X_59)))]]) ).
cnf(refute_0_514,plain,
add(multiply(X_60,X_13),X_59) = add(X_59,multiply(X_60,X_13)),
inference(resolve,[$cnf( $equal(add(X_59,multiply(X_60,X_13)),add(multiply(X_60,X_13),X_59)) )],[refute_0_506,refute_0_513]) ).
cnf(refute_0_515,plain,
add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) = add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(add(X_87,X_88))),bind(X_59,$fot(inverse(multiply(X_86,X_87)))),bind(X_60,$fot(X_86))]]) ).
cnf(refute_0_516,plain,
( add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))) != add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))
| multiplicative_identity != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| multiplicative_identity = add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) ),[1],$fot(add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))))]]) ).
cnf(refute_0_517,plain,
( multiplicative_identity != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| multiplicative_identity = add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87))),add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
( add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)) != add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))
| multiplicative_identity = add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))) ),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) )],[refute_0_512,refute_0_517]) ).
cnf(refute_0_519,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(X_86,X_87)),add(multiply(X_86,add(X_87,X_88)),inverse(multiply(X_86,X_87)))) )],[refute_0_160,refute_0_518]) ).
cnf(refute_0_520,plain,
add(X_12,X_10) = add(X_10,X_12),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_521,plain,
( add(X_12,X_10) != add(X_10,X_12)
| add(X_10,X_12) = add(X_12,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_12,X_10))),bind(Y0,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_522,plain,
add(X_10,X_12) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_12,X_10),add(X_10,X_12)) )],[refute_0_520,refute_0_521]) ).
cnf(refute_0_523,plain,
( add(X_10,X_12) != add(X_12,X_10)
| add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1,0],$fot(add(X_12,X_10))]]) ).
cnf(refute_0_524,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_12),add(X_12,X_10)) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_209,refute_0_524]) ).
cnf(refute_0_526,plain,
add(multiply(add(X_101,X_102),X_11),inverse(X_102)) = multiply(add(inverse(X_102),add(X_101,X_102)),add(X_11,inverse(X_102))),
inference(subst,[],[refute_0_525:[bind(X_10,$fot(add(X_101,X_102))),bind(X_12,$fot(inverse(X_102)))]]) ).
cnf(refute_0_527,plain,
add(inverse(X_24),multiply(X_24,add(X_10,X_24))) = add(add(X_10,X_24),inverse(X_24)),
inference(subst,[],[refute_0_21:[bind(X_10,$fot(X_24)),bind(X_11,$fot(add(X_10,X_24)))]]) ).
cnf(refute_0_528,plain,
add(multiply(X_10,additive_identity),X_24) = multiply(X_24,add(X_10,X_24)),
inference(subst,[],[refute_0_171:[bind(X_12,$fot(X_24))]]) ).
cnf(refute_0_529,plain,
( add(multiply(X_10,additive_identity),X_24) != multiply(X_24,add(X_10,X_24))
| multiply(X_24,add(X_10,X_24)) = add(multiply(X_10,additive_identity),X_24) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,additive_identity),X_24))),bind(Y0,$fot(multiply(X_24,add(X_10,X_24))))]]) ).
cnf(refute_0_530,plain,
multiply(X_24,add(X_10,X_24)) = add(multiply(X_10,additive_identity),X_24),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_24),multiply(X_24,add(X_10,X_24))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
( multiply(X_24,add(X_10,X_24)) != add(multiply(X_10,additive_identity),X_24)
| add(inverse(X_24),multiply(X_24,add(X_10,X_24))) != add(add(X_10,X_24),inverse(X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(add(X_10,X_24),inverse(X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_24),multiply(X_24,add(X_10,X_24))),add(add(X_10,X_24),inverse(X_24))) ),[0,1],$fot(add(multiply(X_10,additive_identity),X_24))]]) ).
cnf(refute_0_532,plain,
( add(inverse(X_24),multiply(X_24,add(X_10,X_24))) != add(add(X_10,X_24),inverse(X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(add(X_10,X_24),inverse(X_24)) ),
inference(resolve,[$cnf( $equal(multiply(X_24,add(X_10,X_24)),add(multiply(X_10,additive_identity),X_24)) )],[refute_0_530,refute_0_531]) ).
cnf(refute_0_533,plain,
add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(add(X_10,X_24),inverse(X_24)),
inference(resolve,[$cnf( $equal(add(inverse(X_24),multiply(X_24,add(X_10,X_24))),add(add(X_10,X_24),inverse(X_24))) )],[refute_0_527,refute_0_532]) ).
cnf(refute_0_534,plain,
add(add(X_10,X_24),inverse(X_24)) = add(inverse(X_24),add(X_10,X_24)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_24))),bind(Y,$fot(add(X_10,X_24)))]]) ).
cnf(refute_0_535,plain,
( add(add(X_10,X_24),inverse(X_24)) != add(inverse(X_24),add(X_10,X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(add(X_10,X_24),inverse(X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),add(X_10,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(add(X_10,X_24),inverse(X_24))) ),[1],$fot(add(inverse(X_24),add(X_10,X_24)))]]) ).
cnf(refute_0_536,plain,
( add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(add(X_10,X_24),inverse(X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),add(X_10,X_24)) ),
inference(resolve,[$cnf( $equal(add(add(X_10,X_24),inverse(X_24)),add(inverse(X_24),add(X_10,X_24))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),add(X_10,X_24)),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(add(X_10,X_24),inverse(X_24))) )],[refute_0_533,refute_0_536]) ).
cnf(refute_0_538,plain,
add(X_24,inverse(X_24)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_539,plain,
add(inverse(X_24),X_24) = add(X_24,inverse(X_24)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_24)),bind(Y,$fot(inverse(X_24)))]]) ).
cnf(refute_0_540,plain,
( add(X_24,inverse(X_24)) != multiplicative_identity
| add(inverse(X_24),X_24) != add(X_24,inverse(X_24))
| add(inverse(X_24),X_24) = multiplicative_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_24),X_24))),bind(Y0,$fot(add(X_24,inverse(X_24)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_541,plain,
( add(X_24,inverse(X_24)) != multiplicative_identity
| add(inverse(X_24),X_24) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_24),X_24),add(X_24,inverse(X_24))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
add(inverse(X_24),X_24) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_24,inverse(X_24)),multiplicative_identity) )],[refute_0_538,refute_0_541]) ).
cnf(refute_0_543,plain,
add(additive_identity,X_24) = X_24,
inference(subst,[],[additive_id2:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_544,plain,
add(multiply(X_10,additive_identity),X_24) = add(multiply(X_10,additive_identity),X_24),
introduced(tautology,[refl,[$fot(add(multiply(X_10,additive_identity),X_24))]]) ).
cnf(refute_0_545,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_24) != add(multiply(X_10,additive_identity),X_24)
| add(multiply(X_10,additive_identity),X_24) = add(additive_identity,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_24),add(multiply(X_10,additive_identity),X_24)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_546,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_24) = add(additive_identity,X_24) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_24),add(multiply(X_10,additive_identity),X_24)) )],[refute_0_544,refute_0_545]) ).
cnf(refute_0_547,plain,
add(multiply(X_10,additive_identity),X_24) = add(additive_identity,X_24),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),additive_identity) )],[refute_0_488,refute_0_546]) ).
cnf(refute_0_548,plain,
( add(multiply(X_10,additive_identity),X_24) != add(additive_identity,X_24)
| add(additive_identity,X_24) != X_24
| add(multiply(X_10,additive_identity),X_24) = X_24 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_10,additive_identity),X_24))),bind(Y0,$fot(add(additive_identity,X_24))),bind(Z0,$fot(X_24))]]) ).
cnf(refute_0_549,plain,
( add(additive_identity,X_24) != X_24
| add(multiply(X_10,additive_identity),X_24) = X_24 ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_24),add(additive_identity,X_24)) )],[refute_0_547,refute_0_548]) ).
cnf(refute_0_550,plain,
add(multiply(X_10,additive_identity),X_24) = X_24,
inference(resolve,[$cnf( $equal(add(additive_identity,X_24),X_24) )],[refute_0_543,refute_0_549]) ).
cnf(refute_0_551,plain,
add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),
introduced(tautology,[refl,[$fot(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)))]]) ).
cnf(refute_0_552,plain,
( add(multiply(X_10,additive_identity),X_24) != X_24
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(inverse(X_24),add(multiply(X_10,additive_identity),X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(inverse(X_24),add(multiply(X_10,additive_identity),X_24))) ),[1,1],$fot(X_24)]]) ).
cnf(refute_0_553,plain,
( add(multiply(X_10,additive_identity),X_24) != X_24
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),X_24) ),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(inverse(X_24),add(multiply(X_10,additive_identity),X_24))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = add(inverse(X_24),X_24),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_24),X_24) )],[refute_0_550,refute_0_553]) ).
cnf(refute_0_555,plain,
( add(inverse(X_24),X_24) != multiplicative_identity
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(inverse(X_24),X_24)
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = multiplicative_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)))),bind(Y0,$fot(add(inverse(X_24),X_24))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_556,plain,
( add(inverse(X_24),X_24) != multiplicative_identity
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(inverse(X_24),X_24)) )],[refute_0_554,refute_0_555]) ).
cnf(refute_0_557,plain,
add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(X_24),X_24),multiplicative_identity) )],[refute_0_542,refute_0_556]) ).
cnf(refute_0_558,plain,
( add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(inverse(X_24),add(X_10,X_24))
| add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != multiplicative_identity
| multiplicative_identity = add(inverse(X_24),add(X_10,X_24)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(inverse(X_24),add(X_10,X_24))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_559,plain,
( add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)) != add(inverse(X_24),add(X_10,X_24))
| multiplicative_identity = add(inverse(X_24),add(X_10,X_24)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),multiplicative_identity) )],[refute_0_557,refute_0_558]) ).
cnf(refute_0_560,plain,
multiplicative_identity = add(inverse(X_24),add(X_10,X_24)),
inference(resolve,[$cnf( $equal(add(inverse(X_24),add(multiply(X_10,additive_identity),X_24)),add(inverse(X_24),add(X_10,X_24))) )],[refute_0_537,refute_0_559]) ).
cnf(refute_0_561,plain,
multiplicative_identity = add(inverse(X_102),add(X_101,X_102)),
inference(subst,[],[refute_0_560:[bind(X_10,$fot(X_101)),bind(X_24,$fot(X_102))]]) ).
cnf(refute_0_562,plain,
( multiplicative_identity != add(inverse(X_102),add(X_101,X_102))
| add(inverse(X_102),add(X_101,X_102)) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_102),add(X_101,X_102))))]]) ).
cnf(refute_0_563,plain,
add(inverse(X_102),add(X_101,X_102)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_102),add(X_101,X_102))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
( add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != multiply(add(inverse(X_102),add(X_101,X_102)),add(X_11,inverse(X_102)))
| add(inverse(X_102),add(X_101,X_102)) != multiplicative_identity
| add(multiply(add(X_101,X_102),X_11),inverse(X_102)) = multiply(multiplicative_identity,add(X_11,inverse(X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_101,X_102),X_11),inverse(X_102)),multiply(add(inverse(X_102),add(X_101,X_102)),add(X_11,inverse(X_102)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_565,plain,
( add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != multiply(add(inverse(X_102),add(X_101,X_102)),add(X_11,inverse(X_102)))
| add(multiply(add(X_101,X_102),X_11),inverse(X_102)) = multiply(multiplicative_identity,add(X_11,inverse(X_102))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_102),add(X_101,X_102)),multiplicative_identity) )],[refute_0_563,refute_0_564]) ).
cnf(refute_0_566,plain,
add(multiply(add(X_101,X_102),X_11),inverse(X_102)) = multiply(multiplicative_identity,add(X_11,inverse(X_102))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_101,X_102),X_11),inverse(X_102)),multiply(add(inverse(X_102),add(X_101,X_102)),add(X_11,inverse(X_102)))) )],[refute_0_526,refute_0_565]) ).
cnf(refute_0_567,plain,
add(multiply(add(X_101,X_102),X_11),inverse(X_102)) = add(inverse(X_102),multiply(add(X_101,X_102),X_11)),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(X_11)),bind(X_59,$fot(inverse(X_102))),bind(X_60,$fot(add(X_101,X_102)))]]) ).
cnf(refute_0_568,plain,
( add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != multiply(multiplicative_identity,add(X_11,inverse(X_102)))
| add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != add(inverse(X_102),multiply(add(X_101,X_102),X_11))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_102))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_101,X_102),X_11),inverse(X_102)),multiply(multiplicative_identity,add(X_11,inverse(X_102)))) ),[0],$fot(add(inverse(X_102),multiply(add(X_101,X_102),X_11)))]]) ).
cnf(refute_0_569,plain,
( add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != multiply(multiplicative_identity,add(X_11,inverse(X_102)))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_102))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_101,X_102),X_11),inverse(X_102)),add(inverse(X_102),multiply(add(X_101,X_102),X_11))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
multiply(multiplicative_identity,add(X_11,inverse(X_102))) = add(X_11,inverse(X_102)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,inverse(X_102))))]]) ).
cnf(refute_0_571,plain,
( multiply(multiplicative_identity,add(X_11,inverse(X_102))) != add(X_11,inverse(X_102))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_102)))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = add(X_11,inverse(X_102)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_102),multiply(add(X_101,X_102),X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_102)))) ),[1],$fot(add(X_11,inverse(X_102)))]]) ).
cnf(refute_0_572,plain,
( add(inverse(X_102),multiply(add(X_101,X_102),X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_102)))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = add(X_11,inverse(X_102)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,inverse(X_102))),add(X_11,inverse(X_102))) )],[refute_0_570,refute_0_571]) ).
cnf(refute_0_573,plain,
( add(multiply(add(X_101,X_102),X_11),inverse(X_102)) != multiply(multiplicative_identity,add(X_11,inverse(X_102)))
| add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = add(X_11,inverse(X_102)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_102),multiply(add(X_101,X_102),X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_102)))) )],[refute_0_569,refute_0_572]) ).
cnf(refute_0_574,plain,
add(inverse(X_102),multiply(add(X_101,X_102),X_11)) = add(X_11,inverse(X_102)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_101,X_102),X_11),inverse(X_102)),multiply(multiplicative_identity,add(X_11,inverse(X_102)))) )],[refute_0_566,refute_0_573]) ).
cnf(refute_0_575,plain,
add(inverse(multiply(X_294,Z)),multiply(add(X_294,multiply(X_294,Z)),X_296)) = add(X_296,inverse(multiply(X_294,Z))),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(multiply(X_294,Z))),bind(X_11,$fot(X_296))]]) ).
cnf(refute_0_576,plain,
add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Y))]]) ).
cnf(refute_0_577,plain,
Y = add(Y,Y),
inference(subst,[],[refute_0_126:[bind(X_37,$fot(Y))]]) ).
cnf(refute_0_578,plain,
( Y != add(Y,Y)
| add(Y,Y) = Y ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Y)),bind(Y0,$fot(add(Y,Y)))]]) ).
cnf(refute_0_579,plain,
add(Y,Y) = Y,
inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
( add(Y,Y) != Y
| add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_581,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( $equal(add(Y,Y),Y) )],[refute_0_579,refute_0_580]) ).
cnf(refute_0_582,plain,
add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_576,refute_0_581]) ).
cnf(refute_0_583,plain,
multiply(Y,add(Y,Z)) = Y,
inference(subst,[],[refute_0_238:[bind(X_59,$fot(Z)),bind(X_61,$fot(Y))]]) ).
cnf(refute_0_584,plain,
( multiply(Y,add(Y,Z)) != Y
| add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) ),[1],$fot(Y)]]) ).
cnf(refute_0_585,plain,
( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
add(Y,multiply(Y,Z)) = Y,
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_582,refute_0_585]) ).
cnf(refute_0_587,plain,
add(X_294,multiply(X_294,Z)) = X_294,
inference(subst,[],[refute_0_586:[bind(Y,$fot(X_294))]]) ).
cnf(refute_0_588,plain,
( add(X_294,multiply(X_294,Z)) != X_294
| add(inverse(multiply(X_294,Z)),multiply(add(X_294,multiply(X_294,Z)),X_296)) != add(X_296,inverse(multiply(X_294,Z)))
| add(inverse(multiply(X_294,Z)),multiply(X_294,X_296)) = add(X_296,inverse(multiply(X_294,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_294,Z)),multiply(add(X_294,multiply(X_294,Z)),X_296)),add(X_296,inverse(multiply(X_294,Z)))) ),[0,1,0],$fot(X_294)]]) ).
cnf(refute_0_589,plain,
( add(inverse(multiply(X_294,Z)),multiply(add(X_294,multiply(X_294,Z)),X_296)) != add(X_296,inverse(multiply(X_294,Z)))
| add(inverse(multiply(X_294,Z)),multiply(X_294,X_296)) = add(X_296,inverse(multiply(X_294,Z))) ),
inference(resolve,[$cnf( $equal(add(X_294,multiply(X_294,Z)),X_294) )],[refute_0_587,refute_0_588]) ).
cnf(refute_0_590,plain,
add(inverse(multiply(X_294,Z)),multiply(X_294,X_296)) = add(X_296,inverse(multiply(X_294,Z))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_294,Z)),multiply(add(X_294,multiply(X_294,Z)),X_296)),add(X_296,inverse(multiply(X_294,Z)))) )],[refute_0_575,refute_0_589]) ).
cnf(refute_0_591,plain,
add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))) = add(add(X_87,X_88),inverse(multiply(X_86,X_87))),
inference(subst,[],[refute_0_590:[bind(Z,$fot(X_87)),bind(X_294,$fot(X_86)),bind(X_296,$fot(add(X_87,X_88)))]]) ).
cnf(refute_0_592,plain,
( add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))) != add(add(X_87,X_88),inverse(multiply(X_86,X_87)))
| multiplicative_identity != add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))
| multiplicative_identity = add(add(X_87,X_88),inverse(multiply(X_86,X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))) ),[1],$fot(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))]]) ).
cnf(refute_0_593,plain,
( multiplicative_identity != add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))
| multiplicative_identity = add(add(X_87,X_88),inverse(multiply(X_86,X_87))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88))),add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
multiplicative_identity = add(add(X_87,X_88),inverse(multiply(X_86,X_87))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_87)),multiply(X_86,add(X_87,X_88)))) )],[refute_0_519,refute_0_593]) ).
cnf(refute_0_595,plain,
( multiplicative_identity != add(add(X_87,X_88),inverse(multiply(X_86,X_87)))
| add(add(X_87,X_88),inverse(multiply(X_86,X_87))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))]]) ).
cnf(refute_0_596,plain,
add(add(X_87,X_88),inverse(multiply(X_86,X_87))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
( add(add(X_87,X_88),inverse(multiply(X_86,X_87))) != multiplicative_identity
| add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),[0,0,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_598,plain,
( add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) ),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),inverse(multiply(X_86,X_87))),multiplicative_identity) )],[refute_0_596,refute_0_597]) ).
cnf(refute_0_599,plain,
add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),
inference(resolve,[$cnf( $equal(add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) )],[refute_0_29,refute_0_598]) ).
cnf(refute_0_600,plain,
add(additive_identity,add(X_88,add(X_87,X_434))) = add(X_88,add(X_87,X_434)),
inference(subst,[],[additive_id2:[bind(X,$fot(add(X_88,add(X_87,X_434))))]]) ).
cnf(refute_0_601,plain,
add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = multiply(add(add(X_101,X_102),X_10),add(inverse(X_102),add(X_101,X_102))),
inference(subst,[],[refute_0_525:[bind(X_11,$fot(inverse(X_102))),bind(X_12,$fot(add(X_101,X_102)))]]) ).
cnf(refute_0_602,plain,
( add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) != multiply(add(add(X_101,X_102),X_10),add(inverse(X_102),add(X_101,X_102)))
| add(inverse(X_102),add(X_101,X_102)) != multiplicative_identity
| add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = multiply(add(add(X_101,X_102),X_10),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(X_102)),add(X_101,X_102)),multiply(add(add(X_101,X_102),X_10),add(inverse(X_102),add(X_101,X_102)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_603,plain,
( add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) != multiply(add(add(X_101,X_102),X_10),add(inverse(X_102),add(X_101,X_102)))
| add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = multiply(add(add(X_101,X_102),X_10),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(inverse(X_102),add(X_101,X_102)),multiplicative_identity) )],[refute_0_563,refute_0_602]) ).
cnf(refute_0_604,plain,
add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = multiply(add(add(X_101,X_102),X_10),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_102)),add(X_101,X_102)),multiply(add(add(X_101,X_102),X_10),add(inverse(X_102),add(X_101,X_102)))) )],[refute_0_601,refute_0_603]) ).
cnf(refute_0_605,plain,
multiply(add(add(X_101,X_102),X_10),multiplicative_identity) = add(add(X_101,X_102),X_10),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(add(X_101,X_102),X_10)))]]) ).
cnf(refute_0_606,plain,
( multiply(add(add(X_101,X_102),X_10),multiplicative_identity) != add(add(X_101,X_102),X_10)
| add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) != multiply(add(add(X_101,X_102),X_10),multiplicative_identity)
| add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = add(add(X_101,X_102),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(X_102)),add(X_101,X_102)),multiply(add(add(X_101,X_102),X_10),multiplicative_identity)) ),[1],$fot(add(add(X_101,X_102),X_10))]]) ).
cnf(refute_0_607,plain,
( add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) != multiply(add(add(X_101,X_102),X_10),multiplicative_identity)
| add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = add(add(X_101,X_102),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_101,X_102),X_10),multiplicative_identity),add(add(X_101,X_102),X_10)) )],[refute_0_605,refute_0_606]) ).
cnf(refute_0_608,plain,
add(multiply(X_10,inverse(X_102)),add(X_101,X_102)) = add(add(X_101,X_102),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_102)),add(X_101,X_102)),multiply(add(add(X_101,X_102),X_10),multiplicative_identity)) )],[refute_0_604,refute_0_607]) ).
cnf(refute_0_609,plain,
add(multiply(X_351,inverse(multiply(Y,X_352))),add(X_352,multiply(Y,X_352))) = add(add(X_352,multiply(Y,X_352)),X_351),
inference(subst,[],[refute_0_608:[bind(X_10,$fot(X_351)),bind(X_101,$fot(X_352)),bind(X_102,$fot(multiply(Y,X_352)))]]) ).
cnf(refute_0_610,plain,
multiply(Z,add(Z,Y)) = Z,
inference(subst,[],[refute_0_238:[bind(X_59,$fot(Y)),bind(X_61,$fot(Z))]]) ).
cnf(refute_0_611,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_612,plain,
( add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,Y)),Z) )],[refute_0_610,refute_0_611]) ).
cnf(refute_0_613,plain,
add(Z,multiply(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) )],[refute_0_138,refute_0_612]) ).
cnf(refute_0_614,plain,
add(X_352,multiply(Y,X_352)) = X_352,
inference(subst,[],[refute_0_613:[bind(Z,$fot(X_352))]]) ).
cnf(refute_0_615,plain,
( add(X_352,multiply(Y,X_352)) != X_352
| add(multiply(X_351,inverse(multiply(Y,X_352))),add(X_352,multiply(Y,X_352))) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) = add(add(X_352,multiply(Y,X_352)),X_351) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_351,inverse(multiply(Y,X_352))),add(X_352,multiply(Y,X_352))),add(add(X_352,multiply(Y,X_352)),X_351)) ),[0,1],$fot(X_352)]]) ).
cnf(refute_0_616,plain,
( add(multiply(X_351,inverse(multiply(Y,X_352))),add(X_352,multiply(Y,X_352))) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) = add(add(X_352,multiply(Y,X_352)),X_351) ),
inference(resolve,[$cnf( $equal(add(X_352,multiply(Y,X_352)),X_352) )],[refute_0_614,refute_0_615]) ).
cnf(refute_0_617,plain,
add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) = add(add(X_352,multiply(Y,X_352)),X_351),
inference(resolve,[$cnf( $equal(add(multiply(X_351,inverse(multiply(Y,X_352))),add(X_352,multiply(Y,X_352))),add(add(X_352,multiply(Y,X_352)),X_351)) )],[refute_0_609,refute_0_616]) ).
cnf(refute_0_618,plain,
add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) = multiply(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),add(multiply(X_349,inverse(X_350)),Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(X_349,inverse(X_350)))),bind(Y,$fot(add(X_350,inverse(X_349))))]]) ).
cnf(refute_0_619,plain,
multiplicative_identity = add(inverse(add(X_72,X_101)),add(X_101,add(X_72,X_101))),
inference(subst,[],[refute_0_560:[bind(X_10,$fot(X_101)),bind(X_24,$fot(add(X_72,X_101)))]]) ).
cnf(refute_0_620,plain,
add(X_30,multiply(inverse(X_30),X_32)) = multiply(add(X_30,inverse(X_30)),add(X_30,X_32)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_30)),bind(Y,$fot(inverse(X_30))),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_621,plain,
( add(X_30,multiply(inverse(X_30),X_32)) != multiply(add(X_30,inverse(X_30)),add(X_30,X_32))
| add(X_30,inverse(X_30)) != multiplicative_identity
| add(X_30,multiply(inverse(X_30),X_32)) = multiply(multiplicative_identity,add(X_30,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_32)),multiply(add(X_30,inverse(X_30)),add(X_30,X_32))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_622,plain,
( add(X_30,multiply(inverse(X_30),X_32)) != multiply(add(X_30,inverse(X_30)),add(X_30,X_32))
| add(X_30,multiply(inverse(X_30),X_32)) = multiply(multiplicative_identity,add(X_30,X_32)) ),
inference(resolve,[$cnf( $equal(add(X_30,inverse(X_30)),multiplicative_identity) )],[refute_0_110,refute_0_621]) ).
cnf(refute_0_623,plain,
add(X_30,multiply(inverse(X_30),X_32)) = multiply(multiplicative_identity,add(X_30,X_32)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_32)),multiply(add(X_30,inverse(X_30)),add(X_30,X_32))) )],[refute_0_620,refute_0_622]) ).
cnf(refute_0_624,plain,
multiply(multiplicative_identity,add(X_30,X_32)) = add(X_30,X_32),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_30,X_32)))]]) ).
cnf(refute_0_625,plain,
( multiply(multiplicative_identity,add(X_30,X_32)) != add(X_30,X_32)
| add(X_30,multiply(inverse(X_30),X_32)) != multiply(multiplicative_identity,add(X_30,X_32))
| add(X_30,multiply(inverse(X_30),X_32)) = add(X_30,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_32)),multiply(multiplicative_identity,add(X_30,X_32))) ),[1],$fot(add(X_30,X_32))]]) ).
cnf(refute_0_626,plain,
( add(X_30,multiply(inverse(X_30),X_32)) != multiply(multiplicative_identity,add(X_30,X_32))
| add(X_30,multiply(inverse(X_30),X_32)) = add(X_30,X_32) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_30,X_32)),add(X_30,X_32)) )],[refute_0_624,refute_0_625]) ).
cnf(refute_0_627,plain,
add(X_30,multiply(inverse(X_30),X_32)) = add(X_30,X_32),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_32)),multiply(multiplicative_identity,add(X_30,X_32))) )],[refute_0_623,refute_0_626]) ).
cnf(refute_0_628,plain,
add(X_30,multiply(inverse(X_30),add(X_72,inverse(inverse(X_30))))) = add(X_30,add(X_72,inverse(inverse(X_30)))),
inference(subst,[],[refute_0_627:[bind(X_32,$fot(add(X_72,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_629,plain,
multiply(X_65,add(X_66,inverse(X_65))) = add(multiply(X_65,X_66),multiply(X_65,inverse(X_65))),
inference(subst,[],[distributivity4:[bind(X,$fot(X_65)),bind(Y,$fot(X_66)),bind(Z,$fot(inverse(X_65)))]]) ).
cnf(refute_0_630,plain,
multiply(X_65,inverse(X_65)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_65))]]) ).
cnf(refute_0_631,plain,
( multiply(X_65,add(X_66,inverse(X_65))) != add(multiply(X_65,X_66),multiply(X_65,inverse(X_65)))
| multiply(X_65,inverse(X_65)) != additive_identity
| multiply(X_65,add(X_66,inverse(X_65))) = add(multiply(X_65,X_66),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(X_66,inverse(X_65))),add(multiply(X_65,X_66),multiply(X_65,inverse(X_65)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_632,plain,
( multiply(X_65,add(X_66,inverse(X_65))) != add(multiply(X_65,X_66),multiply(X_65,inverse(X_65)))
| multiply(X_65,add(X_66,inverse(X_65))) = add(multiply(X_65,X_66),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_65,inverse(X_65)),additive_identity) )],[refute_0_630,refute_0_631]) ).
cnf(refute_0_633,plain,
multiply(X_65,add(X_66,inverse(X_65))) = add(multiply(X_65,X_66),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_65,add(X_66,inverse(X_65))),add(multiply(X_65,X_66),multiply(X_65,inverse(X_65)))) )],[refute_0_629,refute_0_632]) ).
cnf(refute_0_634,plain,
add(additive_identity,multiply(X_65,X_66)) = multiply(X_65,X_66),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_65,X_66)))]]) ).
cnf(refute_0_635,plain,
add(multiply(X_65,X_66),additive_identity) = add(additive_identity,multiply(X_65,X_66)),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(X_66)),bind(X_59,$fot(additive_identity)),bind(X_60,$fot(X_65))]]) ).
cnf(refute_0_636,plain,
( add(multiply(X_65,X_66),additive_identity) != add(additive_identity,multiply(X_65,X_66))
| add(additive_identity,multiply(X_65,X_66)) != multiply(X_65,X_66)
| add(multiply(X_65,X_66),additive_identity) = multiply(X_65,X_66) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_65,X_66),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_65,X_66)))),bind(Z0,$fot(multiply(X_65,X_66)))]]) ).
cnf(refute_0_637,plain,
( add(additive_identity,multiply(X_65,X_66)) != multiply(X_65,X_66)
| add(multiply(X_65,X_66),additive_identity) = multiply(X_65,X_66) ),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_66),additive_identity),add(additive_identity,multiply(X_65,X_66))) )],[refute_0_635,refute_0_636]) ).
cnf(refute_0_638,plain,
add(multiply(X_65,X_66),additive_identity) = multiply(X_65,X_66),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_65,X_66)),multiply(X_65,X_66)) )],[refute_0_634,refute_0_637]) ).
cnf(refute_0_639,plain,
( multiply(X_65,add(X_66,inverse(X_65))) != add(multiply(X_65,X_66),additive_identity)
| add(multiply(X_65,X_66),additive_identity) != multiply(X_65,X_66)
| multiply(X_65,add(X_66,inverse(X_65))) = multiply(X_65,X_66) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_65,add(X_66,inverse(X_65))),multiply(X_65,X_66)) ),[0],$fot(add(multiply(X_65,X_66),additive_identity))]]) ).
cnf(refute_0_640,plain,
( multiply(X_65,add(X_66,inverse(X_65))) != add(multiply(X_65,X_66),additive_identity)
| multiply(X_65,add(X_66,inverse(X_65))) = multiply(X_65,X_66) ),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_66),additive_identity),multiply(X_65,X_66)) )],[refute_0_638,refute_0_639]) ).
cnf(refute_0_641,plain,
multiply(X_65,add(X_66,inverse(X_65))) = multiply(X_65,X_66),
inference(resolve,[$cnf( $equal(multiply(X_65,add(X_66,inverse(X_65))),add(multiply(X_65,X_66),additive_identity)) )],[refute_0_633,refute_0_640]) ).
cnf(refute_0_642,plain,
multiply(inverse(X_30),add(X_72,inverse(inverse(X_30)))) = multiply(inverse(X_30),X_72),
inference(subst,[],[refute_0_641:[bind(X_65,$fot(inverse(X_30))),bind(X_66,$fot(X_72))]]) ).
cnf(refute_0_643,plain,
( multiply(inverse(X_30),add(X_72,inverse(inverse(X_30)))) != multiply(inverse(X_30),X_72)
| add(X_30,multiply(inverse(X_30),add(X_72,inverse(inverse(X_30))))) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,multiply(inverse(X_30),X_72)) = add(X_30,add(X_72,inverse(inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),add(X_72,inverse(inverse(X_30))))),add(X_30,add(X_72,inverse(inverse(X_30))))) ),[0,1],$fot(multiply(inverse(X_30),X_72))]]) ).
cnf(refute_0_644,plain,
( add(X_30,multiply(inverse(X_30),add(X_72,inverse(inverse(X_30))))) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,multiply(inverse(X_30),X_72)) = add(X_30,add(X_72,inverse(inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),add(X_72,inverse(inverse(X_30)))),multiply(inverse(X_30),X_72)) )],[refute_0_642,refute_0_643]) ).
cnf(refute_0_645,plain,
add(X_30,multiply(inverse(X_30),X_72)) = add(X_30,add(X_72,inverse(inverse(X_30)))),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),add(X_72,inverse(inverse(X_30))))),add(X_30,add(X_72,inverse(inverse(X_30))))) )],[refute_0_628,refute_0_644]) ).
cnf(refute_0_646,plain,
add(X_30,multiply(inverse(X_30),X_72)) = add(X_30,X_72),
inference(subst,[],[refute_0_627:[bind(X_32,$fot(X_72))]]) ).
cnf(refute_0_647,plain,
( add(X_30,multiply(inverse(X_30),X_72)) != add(X_30,X_72)
| add(X_30,multiply(inverse(X_30),X_72)) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,X_72) = add(X_30,add(X_72,inverse(inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_72)),add(X_30,add(X_72,inverse(inverse(X_30))))) ),[0],$fot(add(X_30,X_72))]]) ).
cnf(refute_0_648,plain,
( add(X_30,multiply(inverse(X_30),X_72)) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,X_72) = add(X_30,add(X_72,inverse(inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_72)),add(X_30,X_72)) )],[refute_0_646,refute_0_647]) ).
cnf(refute_0_649,plain,
add(X_40,multiply(inverse(X_40),inverse(inverse(X_40)))) = add(X_40,inverse(inverse(X_40))),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(X_40)),bind(X_32,$fot(inverse(inverse(X_40))))]]) ).
cnf(refute_0_650,plain,
multiply(inverse(X_40),inverse(inverse(X_40))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(inverse(X_40)))]]) ).
cnf(refute_0_651,plain,
( multiply(inverse(X_40),inverse(inverse(X_40))) != additive_identity
| add(X_40,multiply(inverse(X_40),inverse(inverse(X_40)))) != add(X_40,inverse(inverse(X_40)))
| add(X_40,additive_identity) = add(X_40,inverse(inverse(X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_40,multiply(inverse(X_40),inverse(inverse(X_40)))),add(X_40,inverse(inverse(X_40)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_652,plain,
( add(X_40,multiply(inverse(X_40),inverse(inverse(X_40)))) != add(X_40,inverse(inverse(X_40)))
| add(X_40,additive_identity) = add(X_40,inverse(inverse(X_40))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_40),inverse(inverse(X_40))),additive_identity) )],[refute_0_650,refute_0_651]) ).
cnf(refute_0_653,plain,
add(X_40,additive_identity) = add(X_40,inverse(inverse(X_40))),
inference(resolve,[$cnf( $equal(add(X_40,multiply(inverse(X_40),inverse(inverse(X_40)))),add(X_40,inverse(inverse(X_40)))) )],[refute_0_649,refute_0_652]) ).
cnf(refute_0_654,plain,
add(X_40,additive_identity) = X_40,
inference(subst,[],[additive_id1:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_655,plain,
( add(X_40,additive_identity) != X_40
| add(X_40,additive_identity) != add(X_40,inverse(inverse(X_40)))
| X_40 = add(X_40,inverse(inverse(X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_40,additive_identity),add(X_40,inverse(inverse(X_40)))) ),[0],$fot(X_40)]]) ).
cnf(refute_0_656,plain,
( add(X_40,additive_identity) != add(X_40,inverse(inverse(X_40)))
| X_40 = add(X_40,inverse(inverse(X_40))) ),
inference(resolve,[$cnf( $equal(add(X_40,additive_identity),X_40) )],[refute_0_654,refute_0_655]) ).
cnf(refute_0_657,plain,
add(inverse(inverse(X_18)),multiply(X_18,inverse(X_18))) = add(X_18,inverse(inverse(X_18))),
inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_18)),bind(X_11,$fot(inverse(X_18)))]]) ).
cnf(refute_0_658,plain,
multiply(X_18,inverse(X_18)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_18))]]) ).
cnf(refute_0_659,plain,
( multiply(X_18,inverse(X_18)) != additive_identity
| add(inverse(inverse(X_18)),multiply(X_18,inverse(X_18))) != add(X_18,inverse(inverse(X_18)))
| add(inverse(inverse(X_18)),additive_identity) = add(X_18,inverse(inverse(X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_18)),multiply(X_18,inverse(X_18))),add(X_18,inverse(inverse(X_18)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_660,plain,
( add(inverse(inverse(X_18)),multiply(X_18,inverse(X_18))) != add(X_18,inverse(inverse(X_18)))
| add(inverse(inverse(X_18)),additive_identity) = add(X_18,inverse(inverse(X_18))) ),
inference(resolve,[$cnf( $equal(multiply(X_18,inverse(X_18)),additive_identity) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
add(inverse(inverse(X_18)),additive_identity) = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_18)),multiply(X_18,inverse(X_18))),add(X_18,inverse(inverse(X_18)))) )],[refute_0_657,refute_0_660]) ).
cnf(refute_0_662,plain,
add(inverse(inverse(X_18)),additive_identity) = inverse(inverse(X_18)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_18))))]]) ).
cnf(refute_0_663,plain,
( add(inverse(inverse(X_18)),additive_identity) != add(X_18,inverse(inverse(X_18)))
| add(inverse(inverse(X_18)),additive_identity) != inverse(inverse(X_18))
| inverse(inverse(X_18)) = add(X_18,inverse(inverse(X_18))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_18)),additive_identity),add(X_18,inverse(inverse(X_18)))) ),[0],$fot(inverse(inverse(X_18)))]]) ).
cnf(refute_0_664,plain,
( add(inverse(inverse(X_18)),additive_identity) != add(X_18,inverse(inverse(X_18)))
| inverse(inverse(X_18)) = add(X_18,inverse(inverse(X_18))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_18)),additive_identity),inverse(inverse(X_18))) )],[refute_0_662,refute_0_663]) ).
cnf(refute_0_665,plain,
inverse(inverse(X_18)) = add(X_18,inverse(inverse(X_18))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_18)),additive_identity),add(X_18,inverse(inverse(X_18)))) )],[refute_0_661,refute_0_664]) ).
cnf(refute_0_666,plain,
( inverse(inverse(X_18)) != add(X_18,inverse(inverse(X_18)))
| add(X_18,inverse(inverse(X_18))) = inverse(inverse(X_18)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(inverse(X_18)))),bind(Y0,$fot(add(X_18,inverse(inverse(X_18)))))]]) ).
cnf(refute_0_667,plain,
add(X_18,inverse(inverse(X_18))) = inverse(inverse(X_18)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_18)),add(X_18,inverse(inverse(X_18)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
add(X_40,inverse(inverse(X_40))) = inverse(inverse(X_40)),
inference(subst,[],[refute_0_667:[bind(X_18,$fot(X_40))]]) ).
cnf(refute_0_669,plain,
( X_40 != add(X_40,inverse(inverse(X_40)))
| add(X_40,inverse(inverse(X_40))) != inverse(inverse(X_40))
| X_40 = inverse(inverse(X_40)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_40,inverse(inverse(X_40))) ),[0],$fot(add(X_40,inverse(inverse(X_40))))]]) ).
cnf(refute_0_670,plain,
( X_40 != add(X_40,inverse(inverse(X_40)))
| X_40 = inverse(inverse(X_40)) ),
inference(resolve,[$cnf( $equal(add(X_40,inverse(inverse(X_40))),inverse(inverse(X_40))) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
( add(X_40,additive_identity) != add(X_40,inverse(inverse(X_40)))
| X_40 = inverse(inverse(X_40)) ),
inference(resolve,[$cnf( $equal(X_40,add(X_40,inverse(inverse(X_40)))) )],[refute_0_656,refute_0_670]) ).
cnf(refute_0_672,plain,
X_40 = inverse(inverse(X_40)),
inference(resolve,[$cnf( $equal(add(X_40,additive_identity),add(X_40,inverse(inverse(X_40)))) )],[refute_0_653,refute_0_671]) ).
cnf(refute_0_673,plain,
( X_40 != inverse(inverse(X_40))
| inverse(inverse(X_40)) = X_40 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_40)),bind(Y0,$fot(inverse(inverse(X_40))))]]) ).
cnf(refute_0_674,plain,
inverse(inverse(X_40)) = X_40,
inference(resolve,[$cnf( $equal(X_40,inverse(inverse(X_40))) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
inverse(inverse(X_30)) = X_30,
inference(subst,[],[refute_0_674:[bind(X_40,$fot(X_30))]]) ).
cnf(refute_0_676,plain,
add(X_72,inverse(inverse(X_30))) = add(X_72,inverse(inverse(X_30))),
introduced(tautology,[refl,[$fot(add(X_72,inverse(inverse(X_30))))]]) ).
cnf(refute_0_677,plain,
( add(X_72,inverse(inverse(X_30))) != add(X_72,inverse(inverse(X_30)))
| inverse(inverse(X_30)) != X_30
| add(X_72,inverse(inverse(X_30))) = add(X_72,X_30) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_72,inverse(inverse(X_30))),add(X_72,inverse(inverse(X_30)))) ),[1,1],$fot(X_30)]]) ).
cnf(refute_0_678,plain,
( inverse(inverse(X_30)) != X_30
| add(X_72,inverse(inverse(X_30))) = add(X_72,X_30) ),
inference(resolve,[$cnf( $equal(add(X_72,inverse(inverse(X_30))),add(X_72,inverse(inverse(X_30)))) )],[refute_0_676,refute_0_677]) ).
cnf(refute_0_679,plain,
add(X_72,inverse(inverse(X_30))) = add(X_72,X_30),
inference(resolve,[$cnf( $equal(inverse(inverse(X_30)),X_30) )],[refute_0_675,refute_0_678]) ).
cnf(refute_0_680,plain,
add(X_30,add(X_72,inverse(inverse(X_30)))) = add(X_30,add(X_72,inverse(inverse(X_30)))),
introduced(tautology,[refl,[$fot(add(X_30,add(X_72,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_681,plain,
( add(X_30,add(X_72,inverse(inverse(X_30)))) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_72,inverse(inverse(X_30))) != add(X_72,X_30)
| add(X_30,add(X_72,inverse(inverse(X_30)))) = add(X_30,add(X_72,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,add(X_72,inverse(inverse(X_30)))),add(X_30,add(X_72,inverse(inverse(X_30))))) ),[1,1],$fot(add(X_72,X_30))]]) ).
cnf(refute_0_682,plain,
( add(X_72,inverse(inverse(X_30))) != add(X_72,X_30)
| add(X_30,add(X_72,inverse(inverse(X_30)))) = add(X_30,add(X_72,X_30)) ),
inference(resolve,[$cnf( $equal(add(X_30,add(X_72,inverse(inverse(X_30)))),add(X_30,add(X_72,inverse(inverse(X_30))))) )],[refute_0_680,refute_0_681]) ).
cnf(refute_0_683,plain,
add(X_30,add(X_72,inverse(inverse(X_30)))) = add(X_30,add(X_72,X_30)),
inference(resolve,[$cnf( $equal(add(X_72,inverse(inverse(X_30))),add(X_72,X_30)) )],[refute_0_679,refute_0_682]) ).
cnf(refute_0_684,plain,
( add(X_30,X_72) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,add(X_72,inverse(inverse(X_30)))) != add(X_30,add(X_72,X_30))
| add(X_30,X_72) = add(X_30,add(X_72,X_30)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_30,X_72),add(X_30,add(X_72,X_30))) ),[0],$fot(add(X_30,add(X_72,inverse(inverse(X_30)))))]]) ).
cnf(refute_0_685,plain,
( add(X_30,X_72) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,X_72) = add(X_30,add(X_72,X_30)) ),
inference(resolve,[$cnf( $equal(add(X_30,add(X_72,inverse(inverse(X_30)))),add(X_30,add(X_72,X_30))) )],[refute_0_683,refute_0_684]) ).
cnf(refute_0_686,plain,
( add(X_30,multiply(inverse(X_30),X_72)) != add(X_30,add(X_72,inverse(inverse(X_30))))
| add(X_30,X_72) = add(X_30,add(X_72,X_30)) ),
inference(resolve,[$cnf( $equal(add(X_30,X_72),add(X_30,add(X_72,inverse(inverse(X_30))))) )],[refute_0_648,refute_0_685]) ).
cnf(refute_0_687,plain,
add(X_30,X_72) = add(X_30,add(X_72,X_30)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_72)),add(X_30,add(X_72,inverse(inverse(X_30))))) )],[refute_0_645,refute_0_686]) ).
cnf(refute_0_688,plain,
add(X_101,X_72) = add(X_101,add(X_72,X_101)),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(X_101))]]) ).
cnf(refute_0_689,plain,
( add(X_101,X_72) != add(X_101,add(X_72,X_101))
| add(X_101,add(X_72,X_101)) = add(X_101,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_101,X_72))),bind(Y0,$fot(add(X_101,add(X_72,X_101))))]]) ).
cnf(refute_0_690,plain,
add(X_101,add(X_72,X_101)) = add(X_101,X_72),
inference(resolve,[$cnf( $equal(add(X_101,X_72),add(X_101,add(X_72,X_101))) )],[refute_0_688,refute_0_689]) ).
cnf(refute_0_691,plain,
( add(X_101,add(X_72,X_101)) != add(X_101,X_72)
| multiplicative_identity != add(inverse(add(X_72,X_101)),add(X_101,add(X_72,X_101)))
| multiplicative_identity = add(inverse(add(X_72,X_101)),add(X_101,X_72)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_72,X_101)),add(X_101,add(X_72,X_101)))) ),[1,1],$fot(add(X_101,X_72))]]) ).
cnf(refute_0_692,plain,
( multiplicative_identity != add(inverse(add(X_72,X_101)),add(X_101,add(X_72,X_101)))
| multiplicative_identity = add(inverse(add(X_72,X_101)),add(X_101,X_72)) ),
inference(resolve,[$cnf( $equal(add(X_101,add(X_72,X_101)),add(X_101,X_72)) )],[refute_0_690,refute_0_691]) ).
cnf(refute_0_693,plain,
multiplicative_identity = add(inverse(add(X_72,X_101)),add(X_101,X_72)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_72,X_101)),add(X_101,add(X_72,X_101)))) )],[refute_0_619,refute_0_692]) ).
cnf(refute_0_694,plain,
add(inverse(add(X_72,X_101)),add(X_101,X_72)) = add(add(X_101,X_72),inverse(add(X_72,X_101))),
inference(subst,[],[refute_0_224:[bind(X_57,$fot(inverse(add(X_72,X_101)))),bind(X_58,$fot(add(X_101,X_72)))]]) ).
cnf(refute_0_695,plain,
( add(inverse(add(X_72,X_101)),add(X_101,X_72)) != add(add(X_101,X_72),inverse(add(X_72,X_101)))
| multiplicative_identity != add(inverse(add(X_72,X_101)),add(X_101,X_72))
| multiplicative_identity = add(add(X_101,X_72),inverse(add(X_72,X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_72,X_101)),add(X_101,X_72))) ),[1],$fot(add(add(X_101,X_72),inverse(add(X_72,X_101))))]]) ).
cnf(refute_0_696,plain,
( multiplicative_identity != add(inverse(add(X_72,X_101)),add(X_101,X_72))
| multiplicative_identity = add(add(X_101,X_72),inverse(add(X_72,X_101))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_72,X_101)),add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))) )],[refute_0_694,refute_0_695]) ).
cnf(refute_0_697,plain,
multiplicative_identity = add(add(X_101,X_72),inverse(add(X_72,X_101))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_72,X_101)),add(X_101,X_72))) )],[refute_0_693,refute_0_696]) ).
cnf(refute_0_698,plain,
multiplicative_identity = add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_175,X_174),X_101))),
inference(subst,[],[refute_0_697:[bind(X_72,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_699,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = multiply(add(X_10,X_12),add(X_11,X_12)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_11,X_12))),bind(Y,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_700,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_10,X_12),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_10,X_12),add(X_11,X_12))))]]) ).
cnf(refute_0_701,plain,
multiply(add(X_10,X_12),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_209,refute_0_700]) ).
cnf(refute_0_702,plain,
( multiply(add(X_10,X_12),add(X_11,X_12)) != add(multiply(X_10,X_11),X_12)
| multiply(add(X_11,X_12),add(X_10,X_12)) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1],$fot(add(multiply(X_10,X_11),X_12))]]) ).
cnf(refute_0_703,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_11,X_12)),add(multiply(X_10,X_11),X_12)) )],[refute_0_701,refute_0_702]) ).
cnf(refute_0_704,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_699,refute_0_703]) ).
cnf(refute_0_705,plain,
( add(multiply(X,Y),Z) != multiply(add(X,Z),add(Y,Z))
| multiply(add(X,Z),add(Y,Z)) = add(multiply(X,Y),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X,Y),Z))),bind(Y0,$fot(multiply(add(X,Z),add(Y,Z))))]]) ).
cnf(refute_0_706,plain,
multiply(add(X,Z),add(Y,Z)) = add(multiply(X,Y),Z),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),Z),multiply(add(X,Z),add(Y,Z))) )],[distributivity1,refute_0_705]) ).
cnf(refute_0_707,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_11,X_10),X_12),
inference(subst,[],[refute_0_706:[bind(X,$fot(X_11)),bind(Y,$fot(X_10)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_708,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_10,X_11),X_12)
| multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_11,X_10),X_12)
| add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_10,X_11),X_12)) ),[0],$fot(add(multiply(X_11,X_10),X_12))]]) ).
cnf(refute_0_709,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_10,X_11),X_12)
| add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_11,X_10),X_12)) )],[refute_0_707,refute_0_708]) ).
cnf(refute_0_710,plain,
add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_10,X_11),X_12)) )],[refute_0_704,refute_0_709]) ).
cnf(refute_0_711,plain,
add(multiply(X_175,X_174),X_101) = add(multiply(X_174,X_175),X_101),
inference(subst,[],[refute_0_710:[bind(X_10,$fot(X_174)),bind(X_11,$fot(X_175)),bind(X_12,$fot(X_101))]]) ).
cnf(refute_0_712,plain,
( add(multiply(X_175,X_174),X_101) != add(multiply(X_174,X_175),X_101)
| multiplicative_identity != add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_175,X_174),X_101)))
| multiplicative_identity = add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_174,X_175),X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_175,X_174),X_101)))) ),[1,1,0],$fot(add(multiply(X_174,X_175),X_101))]]) ).
cnf(refute_0_713,plain,
( multiplicative_identity != add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_175,X_174),X_101)))
| multiplicative_identity = add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_174,X_175),X_101))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),X_101),add(multiply(X_174,X_175),X_101)) )],[refute_0_711,refute_0_712]) ).
cnf(refute_0_714,plain,
multiplicative_identity = add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_174,X_175),X_101))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_101,multiply(X_175,X_174)),inverse(add(multiply(X_175,X_174),X_101)))) )],[refute_0_698,refute_0_713]) ).
cnf(refute_0_715,plain,
multiplicative_identity = add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))))),
inference(subst,[],[refute_0_714:[bind(X_101,$fot(add(X_310,inverse(X_175)))),bind(X_174,$fot(inverse(X_310)))]]) ).
cnf(refute_0_716,plain,
multiplicative_identity = add(add(X_101,inverse(X_309)),inverse(add(inverse(X_309),X_101))),
inference(subst,[],[refute_0_697:[bind(X_72,$fot(inverse(X_309)))]]) ).
cnf(refute_0_717,plain,
add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(multiply(X_60,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61))),
inference(subst,[],[refute_0_251:[bind(X,$fot(multiply(X_60,X_61))),bind(X_22,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_718,plain,
multiply(add(X_59,X_60),X_61) = add(multiply(X_59,X_61),multiply(X_60,X_61)),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(X_61))]]) ).
cnf(refute_0_719,plain,
( multiply(add(X_59,X_60),X_61) != add(multiply(X_59,X_61),multiply(X_60,X_61))
| add(multiply(X_59,X_61),multiply(X_60,X_61)) = multiply(add(X_59,X_60),X_61) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_59,X_60),X_61))),bind(Y0,$fot(add(multiply(X_59,X_61),multiply(X_60,X_61))))]]) ).
cnf(refute_0_720,plain,
add(multiply(X_59,X_61),multiply(X_60,X_61)) = multiply(add(X_59,X_60),X_61),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),X_61),add(multiply(X_59,X_61),multiply(X_60,X_61))) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
( add(multiply(X_59,X_61),multiply(X_60,X_61)) != multiply(add(X_59,X_60),X_61)
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != multiply(multiply(X_60,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),multiply(multiply(X_60,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))) ),[1,1],$fot(multiply(add(X_59,X_60),X_61))]]) ).
cnf(refute_0_722,plain,
( add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != multiply(multiply(X_60,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_61),multiply(X_60,X_61)),multiply(add(X_59,X_60),X_61)) )],[refute_0_720,refute_0_721]) ).
cnf(refute_0_723,plain,
add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),multiply(multiply(X_60,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))) )],[refute_0_717,refute_0_722]) ).
cnf(refute_0_724,plain,
add(additive_identity,multiply(X_60,X_61)) = multiply(X_60,X_61),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_725,plain,
add(multiply(X_60,X_61),additive_identity) = add(additive_identity,multiply(X_60,X_61)),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(X_61)),bind(X_59,$fot(additive_identity))]]) ).
cnf(refute_0_726,plain,
( add(multiply(X_60,X_61),additive_identity) != add(additive_identity,multiply(X_60,X_61))
| add(additive_identity,multiply(X_60,X_61)) != multiply(X_60,X_61)
| add(multiply(X_60,X_61),additive_identity) = multiply(X_60,X_61) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_60,X_61),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_60,X_61)))),bind(Z0,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_727,plain,
( add(additive_identity,multiply(X_60,X_61)) != multiply(X_60,X_61)
| add(multiply(X_60,X_61),additive_identity) = multiply(X_60,X_61) ),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),additive_identity),add(additive_identity,multiply(X_60,X_61))) )],[refute_0_725,refute_0_726]) ).
cnf(refute_0_728,plain,
add(multiply(X_60,X_61),additive_identity) = multiply(X_60,X_61),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_60,X_61)),multiply(X_60,X_61)) )],[refute_0_724,refute_0_727]) ).
cnf(refute_0_729,plain,
multiply(additive_identity,multiply(X_59,X_61)) = additive_identity,
inference(subst,[],[refute_0_337:[bind(X_60,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_730,plain,
add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),
introduced(tautology,[refl,[$fot(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))))]]) ).
cnf(refute_0_731,plain,
( multiply(additive_identity,multiply(X_59,X_61)) != additive_identity
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61)))
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = add(multiply(X_60,X_61),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_732,plain,
( multiply(additive_identity,multiply(X_59,X_61)) != additive_identity
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = add(multiply(X_60,X_61),additive_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61)))) )],[refute_0_730,refute_0_731]) ).
cnf(refute_0_733,plain,
add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = add(multiply(X_60,X_61),additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(X_59,X_61)),additive_identity) )],[refute_0_729,refute_0_732]) ).
cnf(refute_0_734,plain,
( add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != add(multiply(X_60,X_61),additive_identity)
| add(multiply(X_60,X_61),additive_identity) != multiply(X_60,X_61)
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(X_60,X_61) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))))),bind(Y0,$fot(add(multiply(X_60,X_61),additive_identity))),bind(Z0,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_735,plain,
( add(multiply(X_60,X_61),additive_identity) != multiply(X_60,X_61)
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(X_60,X_61) ),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),add(multiply(X_60,X_61),additive_identity)) )],[refute_0_733,refute_0_734]) ).
cnf(refute_0_736,plain,
add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) = multiply(X_60,X_61),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),additive_identity),multiply(X_60,X_61)) )],[refute_0_728,refute_0_735]) ).
cnf(refute_0_737,plain,
( add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != multiply(X_60,X_61)
| add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))
| multiply(X_60,X_61) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))) ),[0],$fot(multiply(X_60,X_61))]]) ).
cnf(refute_0_738,plain,
( add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))) != multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))
| multiply(X_60,X_61) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),multiply(X_60,X_61)) )],[refute_0_736,refute_0_737]) ).
cnf(refute_0_739,plain,
multiply(X_60,X_61) = multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(additive_identity,multiply(X_59,X_61))),multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))) )],[refute_0_723,refute_0_738]) ).
cnf(refute_0_740,plain,
multiply(X_65,add(inverse(X_65),X_67)) = add(multiply(X_65,inverse(X_65)),multiply(X_65,X_67)),
inference(subst,[],[distributivity4:[bind(X,$fot(X_65)),bind(Y,$fot(inverse(X_65))),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_741,plain,
( multiply(X_65,add(inverse(X_65),X_67)) != add(multiply(X_65,inverse(X_65)),multiply(X_65,X_67))
| multiply(X_65,inverse(X_65)) != additive_identity
| multiply(X_65,add(inverse(X_65),X_67)) = add(additive_identity,multiply(X_65,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(inverse(X_65),X_67)),add(multiply(X_65,inverse(X_65)),multiply(X_65,X_67))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_742,plain,
( multiply(X_65,add(inverse(X_65),X_67)) != add(multiply(X_65,inverse(X_65)),multiply(X_65,X_67))
| multiply(X_65,add(inverse(X_65),X_67)) = add(additive_identity,multiply(X_65,X_67)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,inverse(X_65)),additive_identity) )],[refute_0_630,refute_0_741]) ).
cnf(refute_0_743,plain,
multiply(X_65,add(inverse(X_65),X_67)) = add(additive_identity,multiply(X_65,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),X_67)),add(multiply(X_65,inverse(X_65)),multiply(X_65,X_67))) )],[refute_0_740,refute_0_742]) ).
cnf(refute_0_744,plain,
add(additive_identity,multiply(X_65,X_67)) = multiply(X_65,X_67),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_65,X_67)))]]) ).
cnf(refute_0_745,plain,
( multiply(X_65,add(inverse(X_65),X_67)) != add(additive_identity,multiply(X_65,X_67))
| add(additive_identity,multiply(X_65,X_67)) != multiply(X_65,X_67)
| multiply(X_65,add(inverse(X_65),X_67)) = multiply(X_65,X_67) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_65,add(inverse(X_65),X_67)),multiply(X_65,X_67)) ),[0],$fot(add(additive_identity,multiply(X_65,X_67)))]]) ).
cnf(refute_0_746,plain,
( multiply(X_65,add(inverse(X_65),X_67)) != add(additive_identity,multiply(X_65,X_67))
| multiply(X_65,add(inverse(X_65),X_67)) = multiply(X_65,X_67) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_65,X_67)),multiply(X_65,X_67)) )],[refute_0_744,refute_0_745]) ).
cnf(refute_0_747,plain,
multiply(X_65,add(inverse(X_65),X_67)) = multiply(X_65,X_67),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),X_67)),add(additive_identity,multiply(X_65,X_67))) )],[refute_0_743,refute_0_746]) ).
cnf(refute_0_748,plain,
multiply(X_80,add(inverse(X_80),multiply(X_31,inverse(inverse(X_80))))) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_80)),bind(X_67,$fot(multiply(X_31,inverse(inverse(X_80)))))]]) ).
cnf(refute_0_749,plain,
add(inverse(X_80),multiply(X_31,inverse(inverse(X_80)))) = add(inverse(X_80),X_31),
inference(subst,[],[refute_0_117:[bind(X_30,$fot(inverse(X_80)))]]) ).
cnf(refute_0_750,plain,
( multiply(X_80,add(inverse(X_80),multiply(X_31,inverse(inverse(X_80))))) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| add(inverse(X_80),multiply(X_31,inverse(inverse(X_80)))) != add(inverse(X_80),X_31)
| multiply(X_80,add(inverse(X_80),X_31)) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,add(inverse(X_80),multiply(X_31,inverse(inverse(X_80))))),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) ),[0,1],$fot(add(inverse(X_80),X_31))]]) ).
cnf(refute_0_751,plain,
( multiply(X_80,add(inverse(X_80),multiply(X_31,inverse(inverse(X_80))))) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,add(inverse(X_80),X_31)) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_80),multiply(X_31,inverse(inverse(X_80)))),add(inverse(X_80),X_31)) )],[refute_0_749,refute_0_750]) ).
cnf(refute_0_752,plain,
multiply(X_80,add(inverse(X_80),X_31)) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),multiply(X_31,inverse(inverse(X_80))))),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) )],[refute_0_748,refute_0_751]) ).
cnf(refute_0_753,plain,
multiply(X_80,add(inverse(X_80),X_31)) = multiply(X_80,X_31),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_80)),bind(X_67,$fot(X_31))]]) ).
cnf(refute_0_754,plain,
( multiply(X_80,add(inverse(X_80),X_31)) != multiply(X_80,X_31)
| multiply(X_80,add(inverse(X_80),X_31)) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,X_31) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_31)),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) ),[0],$fot(multiply(X_80,X_31))]]) ).
cnf(refute_0_755,plain,
( multiply(X_80,add(inverse(X_80),X_31)) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,X_31) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) ),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_31)),multiply(X_80,X_31)) )],[refute_0_753,refute_0_754]) ).
cnf(refute_0_756,plain,
inverse(inverse(X_80)) = X_80,
inference(subst,[],[refute_0_674:[bind(X_40,$fot(X_80))]]) ).
cnf(refute_0_757,plain,
multiply(X_31,inverse(inverse(X_80))) = multiply(X_31,inverse(inverse(X_80))),
introduced(tautology,[refl,[$fot(multiply(X_31,inverse(inverse(X_80))))]]) ).
cnf(refute_0_758,plain,
( multiply(X_31,inverse(inverse(X_80))) != multiply(X_31,inverse(inverse(X_80)))
| inverse(inverse(X_80)) != X_80
| multiply(X_31,inverse(inverse(X_80))) = multiply(X_31,X_80) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_31,inverse(inverse(X_80))),multiply(X_31,inverse(inverse(X_80)))) ),[1,1],$fot(X_80)]]) ).
cnf(refute_0_759,plain,
( inverse(inverse(X_80)) != X_80
| multiply(X_31,inverse(inverse(X_80))) = multiply(X_31,X_80) ),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(inverse(X_80))),multiply(X_31,inverse(inverse(X_80)))) )],[refute_0_757,refute_0_758]) ).
cnf(refute_0_760,plain,
multiply(X_31,inverse(inverse(X_80))) = multiply(X_31,X_80),
inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_756,refute_0_759]) ).
cnf(refute_0_761,plain,
multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) = multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),
introduced(tautology,[refl,[$fot(multiply(X_80,multiply(X_31,inverse(inverse(X_80)))))]]) ).
cnf(refute_0_762,plain,
( multiply(X_31,inverse(inverse(X_80))) != multiply(X_31,X_80)
| multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) = multiply(X_80,multiply(X_31,X_80)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) ),[1,1],$fot(multiply(X_31,X_80))]]) ).
cnf(refute_0_763,plain,
( multiply(X_31,inverse(inverse(X_80))) != multiply(X_31,X_80)
| multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) = multiply(X_80,multiply(X_31,X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) )],[refute_0_761,refute_0_762]) ).
cnf(refute_0_764,plain,
multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) = multiply(X_80,multiply(X_31,X_80)),
inference(resolve,[$cnf( $equal(multiply(X_31,inverse(inverse(X_80))),multiply(X_31,X_80)) )],[refute_0_760,refute_0_763]) ).
cnf(refute_0_765,plain,
( multiply(X_80,X_31) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,multiply(X_31,inverse(inverse(X_80)))) != multiply(X_80,multiply(X_31,X_80))
| multiply(X_80,X_31) = multiply(X_80,multiply(X_31,X_80)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_80,X_31),multiply(X_80,multiply(X_31,X_80))) ),[0],$fot(multiply(X_80,multiply(X_31,inverse(inverse(X_80)))))]]) ).
cnf(refute_0_766,plain,
( multiply(X_80,X_31) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,X_31) = multiply(X_80,multiply(X_31,X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(X_31,inverse(inverse(X_80)))),multiply(X_80,multiply(X_31,X_80))) )],[refute_0_764,refute_0_765]) ).
cnf(refute_0_767,plain,
( multiply(X_80,add(inverse(X_80),X_31)) != multiply(X_80,multiply(X_31,inverse(inverse(X_80))))
| multiply(X_80,X_31) = multiply(X_80,multiply(X_31,X_80)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,X_31),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) )],[refute_0_755,refute_0_766]) ).
cnf(refute_0_768,plain,
multiply(X_80,X_31) = multiply(X_80,multiply(X_31,X_80)),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_31)),multiply(X_80,multiply(X_31,inverse(inverse(X_80))))) )],[refute_0_752,refute_0_767]) ).
cnf(refute_0_769,plain,
( multiply(X_80,X_31) != multiply(X_80,multiply(X_31,X_80))
| multiply(X_80,multiply(X_31,X_80)) = multiply(X_80,X_31) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_80,X_31))),bind(Y0,$fot(multiply(X_80,multiply(X_31,X_80))))]]) ).
cnf(refute_0_770,plain,
multiply(X_80,multiply(X_31,X_80)) = multiply(X_80,X_31),
inference(resolve,[$cnf( $equal(multiply(X_80,X_31),multiply(X_80,multiply(X_31,X_80))) )],[refute_0_768,refute_0_769]) ).
cnf(refute_0_771,plain,
multiply(X_61,multiply(add(X_59,X_60),X_61)) = multiply(X_61,add(X_59,X_60)),
inference(subst,[],[refute_0_770:[bind(X_31,$fot(add(X_59,X_60))),bind(X_80,$fot(X_61))]]) ).
cnf(refute_0_772,plain,
multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) = multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),
introduced(tautology,[refl,[$fot(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))))]]) ).
cnf(refute_0_773,plain,
( multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) != multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))
| multiply(X_61,multiply(add(X_59,X_60),X_61)) != multiply(X_61,add(X_59,X_60))
| multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))) ),[1,1],$fot(multiply(X_61,add(X_59,X_60)))]]) ).
cnf(refute_0_774,plain,
( multiply(X_61,multiply(add(X_59,X_60),X_61)) != multiply(X_61,add(X_59,X_60))
| multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) = multiply(X_60,multiply(X_61,add(X_59,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_61,multiply(add(X_59,X_60),X_61)),multiply(X_61,add(X_59,X_60))) )],[refute_0_771,refute_0_774]) ).
cnf(refute_0_776,plain,
multiply(add(X,Y),multiply(X,X_177)) = add(multiply(X,multiply(X,X_177)),multiply(Y,multiply(X,X_177))),
inference(subst,[],[distributivity3:[bind(Z,$fot(multiply(X,X_177)))]]) ).
cnf(refute_0_777,plain,
multiply(X_80,add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32))) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_80)),bind(X_67,$fot(multiply(inverse(inverse(X_80)),X_32)))]]) ).
cnf(refute_0_778,plain,
add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32)) = add(inverse(X_80),X_32),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(inverse(X_80)))]]) ).
cnf(refute_0_779,plain,
( multiply(X_80,add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32))) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32)) != add(inverse(X_80),X_32)
| multiply(X_80,add(inverse(X_80),X_32)) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32))),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) ),[0,1],$fot(add(inverse(X_80),X_32))]]) ).
cnf(refute_0_780,plain,
( multiply(X_80,add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32))) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,add(inverse(X_80),X_32)) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32)),add(inverse(X_80),X_32)) )],[refute_0_778,refute_0_779]) ).
cnf(refute_0_781,plain,
multiply(X_80,add(inverse(X_80),X_32)) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),multiply(inverse(inverse(X_80)),X_32))),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) )],[refute_0_777,refute_0_780]) ).
cnf(refute_0_782,plain,
multiply(X_80,add(inverse(X_80),X_32)) = multiply(X_80,X_32),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_80)),bind(X_67,$fot(X_32))]]) ).
cnf(refute_0_783,plain,
( multiply(X_80,add(inverse(X_80),X_32)) != multiply(X_80,X_32)
| multiply(X_80,add(inverse(X_80),X_32)) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,X_32) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_32)),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) ),[0],$fot(multiply(X_80,X_32))]]) ).
cnf(refute_0_784,plain,
( multiply(X_80,add(inverse(X_80),X_32)) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,X_32) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_32)),multiply(X_80,X_32)) )],[refute_0_782,refute_0_783]) ).
cnf(refute_0_785,plain,
multiply(inverse(inverse(X_80)),X_32) = multiply(inverse(inverse(X_80)),X_32),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_80)),X_32))]]) ).
cnf(refute_0_786,plain,
( multiply(inverse(inverse(X_80)),X_32) != multiply(inverse(inverse(X_80)),X_32)
| inverse(inverse(X_80)) != X_80
| multiply(inverse(inverse(X_80)),X_32) = multiply(X_80,X_32) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_80)),X_32),multiply(inverse(inverse(X_80)),X_32)) ),[1,0],$fot(X_80)]]) ).
cnf(refute_0_787,plain,
( inverse(inverse(X_80)) != X_80
| multiply(inverse(inverse(X_80)),X_32) = multiply(X_80,X_32) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_80)),X_32),multiply(inverse(inverse(X_80)),X_32)) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
multiply(inverse(inverse(X_80)),X_32) = multiply(X_80,X_32),
inference(resolve,[$cnf( $equal(inverse(inverse(X_80)),X_80) )],[refute_0_756,refute_0_787]) ).
cnf(refute_0_789,plain,
multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) = multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),
introduced(tautology,[refl,[$fot(multiply(X_80,multiply(inverse(inverse(X_80)),X_32)))]]) ).
cnf(refute_0_790,plain,
( multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(inverse(inverse(X_80)),X_32) != multiply(X_80,X_32)
| multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) = multiply(X_80,multiply(X_80,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) ),[1,1],$fot(multiply(X_80,X_32))]]) ).
cnf(refute_0_791,plain,
( multiply(inverse(inverse(X_80)),X_32) != multiply(X_80,X_32)
| multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) = multiply(X_80,multiply(X_80,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) )],[refute_0_789,refute_0_790]) ).
cnf(refute_0_792,plain,
multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) = multiply(X_80,multiply(X_80,X_32)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_80)),X_32),multiply(X_80,X_32)) )],[refute_0_788,refute_0_791]) ).
cnf(refute_0_793,plain,
( multiply(X_80,X_32) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,multiply(inverse(inverse(X_80)),X_32)) != multiply(X_80,multiply(X_80,X_32))
| multiply(X_80,X_32) = multiply(X_80,multiply(X_80,X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_80,X_32),multiply(X_80,multiply(X_80,X_32))) ),[0],$fot(multiply(X_80,multiply(inverse(inverse(X_80)),X_32)))]]) ).
cnf(refute_0_794,plain,
( multiply(X_80,X_32) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,X_32) = multiply(X_80,multiply(X_80,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,multiply(inverse(inverse(X_80)),X_32)),multiply(X_80,multiply(X_80,X_32))) )],[refute_0_792,refute_0_793]) ).
cnf(refute_0_795,plain,
( multiply(X_80,add(inverse(X_80),X_32)) != multiply(X_80,multiply(inverse(inverse(X_80)),X_32))
| multiply(X_80,X_32) = multiply(X_80,multiply(X_80,X_32)) ),
inference(resolve,[$cnf( $equal(multiply(X_80,X_32),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) )],[refute_0_784,refute_0_794]) ).
cnf(refute_0_796,plain,
multiply(X_80,X_32) = multiply(X_80,multiply(X_80,X_32)),
inference(resolve,[$cnf( $equal(multiply(X_80,add(inverse(X_80),X_32)),multiply(X_80,multiply(inverse(inverse(X_80)),X_32))) )],[refute_0_781,refute_0_795]) ).
cnf(refute_0_797,plain,
multiply(X,X_177) = multiply(X,multiply(X,X_177)),
inference(subst,[],[refute_0_796:[bind(X_32,$fot(X_177)),bind(X_80,$fot(X))]]) ).
cnf(refute_0_798,plain,
( multiply(X,X_177) != multiply(X,multiply(X,X_177))
| multiply(X,multiply(X,X_177)) = multiply(X,X_177) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,X_177))),bind(Y0,$fot(multiply(X,multiply(X,X_177))))]]) ).
cnf(refute_0_799,plain,
multiply(X,multiply(X,X_177)) = multiply(X,X_177),
inference(resolve,[$cnf( $equal(multiply(X,X_177),multiply(X,multiply(X,X_177))) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
( multiply(X,multiply(X,X_177)) != multiply(X,X_177)
| multiply(add(X,Y),multiply(X,X_177)) != add(multiply(X,multiply(X,X_177)),multiply(Y,multiply(X,X_177)))
| multiply(add(X,Y),multiply(X,X_177)) = add(multiply(X,X_177),multiply(Y,multiply(X,X_177))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),add(multiply(X,multiply(X,X_177)),multiply(Y,multiply(X,X_177)))) ),[1,0],$fot(multiply(X,X_177))]]) ).
cnf(refute_0_801,plain,
( multiply(add(X,Y),multiply(X,X_177)) != add(multiply(X,multiply(X,X_177)),multiply(Y,multiply(X,X_177)))
| multiply(add(X,Y),multiply(X,X_177)) = add(multiply(X,X_177),multiply(Y,multiply(X,X_177))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,X_177)),multiply(X,X_177)) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
multiply(add(X,Y),multiply(X,X_177)) = add(multiply(X,X_177),multiply(Y,multiply(X,X_177))),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),add(multiply(X,multiply(X,X_177)),multiply(Y,multiply(X,X_177)))) )],[refute_0_776,refute_0_801]) ).
cnf(refute_0_803,plain,
add(multiply(X,X_177),multiply(Y,multiply(X,X_177))) = multiply(X,X_177),
inference(subst,[],[refute_0_613:[bind(Z,$fot(multiply(X,X_177)))]]) ).
cnf(refute_0_804,plain,
( multiply(add(X,Y),multiply(X,X_177)) != add(multiply(X,X_177),multiply(Y,multiply(X,X_177)))
| add(multiply(X,X_177),multiply(Y,multiply(X,X_177))) != multiply(X,X_177)
| multiply(add(X,Y),multiply(X,X_177)) = multiply(X,X_177) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,Y),multiply(X,X_177)),multiply(X,X_177)) ),[0],$fot(add(multiply(X,X_177),multiply(Y,multiply(X,X_177))))]]) ).
cnf(refute_0_805,plain,
( multiply(add(X,Y),multiply(X,X_177)) != add(multiply(X,X_177),multiply(Y,multiply(X,X_177)))
| multiply(add(X,Y),multiply(X,X_177)) = multiply(X,X_177) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_177),multiply(Y,multiply(X,X_177))),multiply(X,X_177)) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
multiply(add(X,Y),multiply(X,X_177)) = multiply(X,X_177),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),add(multiply(X,X_177),multiply(Y,multiply(X,X_177)))) )],[refute_0_802,refute_0_805]) ).
cnf(refute_0_807,plain,
multiply(add(multiply(X,Z),multiply(Y,Z)),multiply(multiply(X,Z),X_181)) = multiply(multiply(X,Z),X_181),
inference(subst,[],[refute_0_806:[bind(X,$fot(multiply(X,Z))),bind(Y,$fot(multiply(Y,Z))),bind(X_177,$fot(X_181))]]) ).
cnf(refute_0_808,plain,
( multiply(add(X,Y),Z) != add(multiply(X,Z),multiply(Y,Z))
| add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X,Y),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(Y,Z))))]]) ).
cnf(refute_0_809,plain,
add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))) )],[distributivity3,refute_0_808]) ).
cnf(refute_0_810,plain,
( multiply(add(multiply(X,Z),multiply(Y,Z)),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),X_181)
| add(multiply(X,Z),multiply(Y,Z)) != multiply(add(X,Y),Z)
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(multiply(X,Z),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X,Z),multiply(Y,Z)),multiply(multiply(X,Z),X_181)),multiply(multiply(X,Z),X_181)) ),[0,0],$fot(multiply(add(X,Y),Z))]]) ).
cnf(refute_0_811,plain,
( multiply(add(multiply(X,Z),multiply(Y,Z)),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),X_181)
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(multiply(X,Z),X_181) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(Y,Z)),multiply(add(X,Y),Z)) )],[refute_0_809,refute_0_810]) ).
cnf(refute_0_812,plain,
multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(multiply(X,Z),X_181),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X,Z),multiply(Y,Z)),multiply(multiply(X,Z),X_181)),multiply(multiply(X,Z),X_181)) )],[refute_0_807,refute_0_811]) ).
cnf(refute_0_813,plain,
multiply(X_65,add(inverse(X_65),multiply(X_261,multiply(X_65,X_260)))) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))),
inference(subst,[],[refute_0_747:[bind(X_67,$fot(multiply(X_261,multiply(X_65,X_260))))]]) ).
cnf(refute_0_814,plain,
add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = multiply(add(inverse(X_10),X_31),add(inverse(X_10),multiply(X_10,X_11))),
inference(subst,[],[distributivity2:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(X_31)),bind(Z,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_815,plain,
( add(inverse(X_10),multiply(X_10,X_11)) != add(X_11,inverse(X_10))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) != multiply(add(inverse(X_10),X_31),add(inverse(X_10),multiply(X_10,X_11)))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))),multiply(add(inverse(X_10),X_31),add(inverse(X_10),multiply(X_10,X_11)))) ),[1,1],$fot(add(X_11,inverse(X_10)))]]) ).
cnf(refute_0_816,plain,
( add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) != multiply(add(inverse(X_10),X_31),add(inverse(X_10),multiply(X_10,X_11)))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),add(X_11,inverse(X_10))) )],[refute_0_21,refute_0_815]) ).
cnf(refute_0_817,plain,
add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))),multiply(add(inverse(X_10),X_31),add(inverse(X_10),multiply(X_10,X_11)))) )],[refute_0_814,refute_0_816]) ).
cnf(refute_0_818,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_12,X_10),add(X_11,X_12))
| multiply(add(X_12,X_10),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_12,X_10),add(X_11,X_12))))]]) ).
cnf(refute_0_819,plain,
multiply(add(X_12,X_10),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_12,X_10),add(X_11,X_12))) )],[refute_0_525,refute_0_818]) ).
cnf(refute_0_820,plain,
multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))) = add(multiply(X_31,X_11),inverse(X_10)),
inference(subst,[],[refute_0_819:[bind(X_10,$fot(X_31)),bind(X_12,$fot(inverse(X_10)))]]) ).
cnf(refute_0_821,plain,
( multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))) != add(multiply(X_31,X_11),inverse(X_10))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) != multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = add(multiply(X_31,X_11),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))),multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10)))) ),[1],$fot(add(multiply(X_31,X_11),inverse(X_10)))]]) ).
cnf(refute_0_822,plain,
( add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) != multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = add(multiply(X_31,X_11),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10))),add(multiply(X_31,X_11),inverse(X_10))) )],[refute_0_820,refute_0_821]) ).
cnf(refute_0_823,plain,
add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))) = add(multiply(X_31,X_11),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_31,multiply(X_10,X_11))),multiply(add(inverse(X_10),X_31),add(X_11,inverse(X_10)))) )],[refute_0_817,refute_0_822]) ).
cnf(refute_0_824,plain,
add(inverse(X_65),multiply(X_261,multiply(X_65,X_260))) = add(multiply(X_261,X_260),inverse(X_65)),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(X_65)),bind(X_11,$fot(X_260)),bind(X_31,$fot(X_261))]]) ).
cnf(refute_0_825,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_261,multiply(X_65,X_260)))) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| add(inverse(X_65),multiply(X_261,multiply(X_65,X_260))) != add(multiply(X_261,X_260),inverse(X_65))
| multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_261,multiply(X_65,X_260)))),multiply(X_65,multiply(X_261,multiply(X_65,X_260)))) ),[0,1],$fot(add(multiply(X_261,X_260),inverse(X_65)))]]) ).
cnf(refute_0_826,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_261,multiply(X_65,X_260)))) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_65),multiply(X_261,multiply(X_65,X_260))),add(multiply(X_261,X_260),inverse(X_65))) )],[refute_0_824,refute_0_825]) ).
cnf(refute_0_827,plain,
multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_261,multiply(X_65,X_260)))),multiply(X_65,multiply(X_261,multiply(X_65,X_260)))) )],[refute_0_813,refute_0_826]) ).
cnf(refute_0_828,plain,
multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) = multiply(X_65,multiply(X_261,X_260)),
inference(subst,[],[refute_0_641:[bind(X_66,$fot(multiply(X_261,X_260)))]]) ).
cnf(refute_0_829,plain,
( multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) != multiply(X_65,multiply(X_261,X_260))
| multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,multiply(X_261,X_260)) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))),multiply(X_65,multiply(X_261,multiply(X_65,X_260)))) ),[0],$fot(multiply(X_65,multiply(X_261,X_260)))]]) ).
cnf(refute_0_830,plain,
( multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,multiply(X_261,X_260)) = multiply(X_65,multiply(X_261,multiply(X_65,X_260))) ),
inference(resolve,[$cnf( $equal(multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))),multiply(X_65,multiply(X_261,X_260))) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
multiply(add(X,Y),multiply(X_182,Y)) = add(multiply(X,multiply(X_182,Y)),multiply(Y,multiply(X_182,Y))),
inference(subst,[],[distributivity3:[bind(Z,$fot(multiply(X_182,Y)))]]) ).
cnf(refute_0_832,plain,
multiply(Y,X_182) = multiply(Y,multiply(X_182,Y)),
inference(subst,[],[refute_0_768:[bind(X_31,$fot(X_182)),bind(X_80,$fot(Y))]]) ).
cnf(refute_0_833,plain,
( multiply(Y,X_182) != multiply(Y,multiply(X_182,Y))
| multiply(Y,multiply(X_182,Y)) = multiply(Y,X_182) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,X_182))),bind(Y0,$fot(multiply(Y,multiply(X_182,Y))))]]) ).
cnf(refute_0_834,plain,
multiply(Y,multiply(X_182,Y)) = multiply(Y,X_182),
inference(resolve,[$cnf( $equal(multiply(Y,X_182),multiply(Y,multiply(X_182,Y))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
( multiply(Y,multiply(X_182,Y)) != multiply(Y,X_182)
| multiply(add(X,Y),multiply(X_182,Y)) != add(multiply(X,multiply(X_182,Y)),multiply(Y,multiply(X_182,Y)))
| multiply(add(X,Y),multiply(X_182,Y)) = add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),multiply(X_182,Y)),add(multiply(X,multiply(X_182,Y)),multiply(Y,multiply(X_182,Y)))) ),[1,1],$fot(multiply(Y,X_182))]]) ).
cnf(refute_0_836,plain,
( multiply(add(X,Y),multiply(X_182,Y)) != add(multiply(X,multiply(X_182,Y)),multiply(Y,multiply(X_182,Y)))
| multiply(add(X,Y),multiply(X_182,Y)) = add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_182,Y)),multiply(Y,X_182)) )],[refute_0_834,refute_0_835]) ).
cnf(refute_0_837,plain,
multiply(add(X,Y),multiply(X_182,Y)) = add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X_182,Y)),add(multiply(X,multiply(X_182,Y)),multiply(Y,multiply(X_182,Y)))) )],[refute_0_831,refute_0_836]) ).
cnf(refute_0_838,plain,
add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))) = multiply(X_182,Y),
inference(subst,[],[refute_0_613:[bind(Y,$fot(X)),bind(Z,$fot(multiply(X_182,Y)))]]) ).
cnf(refute_0_839,plain,
add(X,multiply(X_175,X_174)) = add(multiply(X_175,X_174),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_840,plain,
add(multiply(X_175,X_174),X) = add(multiply(X_174,X_175),X),
inference(subst,[],[refute_0_710:[bind(X_10,$fot(X_174)),bind(X_11,$fot(X_175)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_841,plain,
( add(X,multiply(X_175,X_174)) != add(multiply(X_175,X_174),X)
| add(multiply(X_175,X_174),X) != add(multiply(X_174,X_175),X)
| add(X,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(X_175,X_174)),add(multiply(X_174,X_175),X)) ),[0],$fot(add(multiply(X_175,X_174),X))]]) ).
cnf(refute_0_842,plain,
( add(X,multiply(X_175,X_174)) != add(multiply(X_175,X_174),X)
| add(X,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),X),add(multiply(X_174,X_175),X)) )],[refute_0_840,refute_0_841]) ).
cnf(refute_0_843,plain,
add(X,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X),
inference(resolve,[$cnf( $equal(add(X,multiply(X_175,X_174)),add(multiply(X_175,X_174),X)) )],[refute_0_839,refute_0_842]) ).
cnf(refute_0_844,plain,
add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) = add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))),
inference(subst,[],[refute_0_843:[bind(X,$fot(multiply(X,multiply(X_182,Y)))),bind(X_174,$fot(X_182)),bind(X_175,$fot(Y))]]) ).
cnf(refute_0_845,plain,
( add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) != add(multiply(X_182,Y),multiply(X,multiply(X_182,Y)))
| add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))) != multiply(X_182,Y)
| add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) = multiply(X_182,Y) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)))),bind(Y0,$fot(add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))))),bind(Z0,$fot(multiply(X_182,Y)))]]) ).
cnf(refute_0_846,plain,
( add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))) != multiply(X_182,Y)
| add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) = multiply(X_182,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)),add(multiply(X_182,Y),multiply(X,multiply(X_182,Y)))) )],[refute_0_844,refute_0_845]) ).
cnf(refute_0_847,plain,
add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) = multiply(X_182,Y),
inference(resolve,[$cnf( $equal(add(multiply(X_182,Y),multiply(X,multiply(X_182,Y))),multiply(X_182,Y)) )],[refute_0_838,refute_0_846]) ).
cnf(refute_0_848,plain,
( multiply(add(X,Y),multiply(X_182,Y)) != add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182))
| add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)) != multiply(X_182,Y)
| multiply(add(X,Y),multiply(X_182,Y)) = multiply(X_182,Y) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,Y),multiply(X_182,Y)),multiply(X_182,Y)) ),[0],$fot(add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)))]]) ).
cnf(refute_0_849,plain,
( multiply(add(X,Y),multiply(X_182,Y)) != add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182))
| multiply(add(X,Y),multiply(X_182,Y)) = multiply(X_182,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182)),multiply(X_182,Y)) )],[refute_0_847,refute_0_848]) ).
cnf(refute_0_850,plain,
multiply(add(X,Y),multiply(X_182,Y)) = multiply(X_182,Y),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X_182,Y)),add(multiply(X,multiply(X_182,Y)),multiply(Y,X_182))) )],[refute_0_837,refute_0_849]) ).
cnf(refute_0_851,plain,
multiply(add(X_199,multiply(X_199,Z)),multiply(X_201,multiply(X_199,Z))) = multiply(X_201,multiply(X_199,Z)),
inference(subst,[],[refute_0_850:[bind(X,$fot(X_199)),bind(Y,$fot(multiply(X_199,Z))),bind(X_182,$fot(X_201))]]) ).
cnf(refute_0_852,plain,
add(X_199,multiply(X_199,Z)) = X_199,
inference(subst,[],[refute_0_586:[bind(Y,$fot(X_199))]]) ).
cnf(refute_0_853,plain,
( multiply(add(X_199,multiply(X_199,Z)),multiply(X_201,multiply(X_199,Z))) != multiply(X_201,multiply(X_199,Z))
| add(X_199,multiply(X_199,Z)) != X_199
| multiply(X_199,multiply(X_201,multiply(X_199,Z))) = multiply(X_201,multiply(X_199,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_199,multiply(X_199,Z)),multiply(X_201,multiply(X_199,Z))),multiply(X_201,multiply(X_199,Z))) ),[0,0],$fot(X_199)]]) ).
cnf(refute_0_854,plain,
( multiply(add(X_199,multiply(X_199,Z)),multiply(X_201,multiply(X_199,Z))) != multiply(X_201,multiply(X_199,Z))
| multiply(X_199,multiply(X_201,multiply(X_199,Z))) = multiply(X_201,multiply(X_199,Z)) ),
inference(resolve,[$cnf( $equal(add(X_199,multiply(X_199,Z)),X_199) )],[refute_0_852,refute_0_853]) ).
cnf(refute_0_855,plain,
multiply(X_199,multiply(X_201,multiply(X_199,Z))) = multiply(X_201,multiply(X_199,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X_199,multiply(X_199,Z)),multiply(X_201,multiply(X_199,Z))),multiply(X_201,multiply(X_199,Z))) )],[refute_0_851,refute_0_854]) ).
cnf(refute_0_856,plain,
multiply(X_65,multiply(X_261,multiply(X_65,X_260))) = multiply(X_261,multiply(X_65,X_260)),
inference(subst,[],[refute_0_855:[bind(Z,$fot(X_260)),bind(X_199,$fot(X_65)),bind(X_201,$fot(X_261))]]) ).
cnf(refute_0_857,plain,
( multiply(X_65,multiply(X_261,X_260)) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,multiply(X_261,multiply(X_65,X_260))) != multiply(X_261,multiply(X_65,X_260))
| multiply(X_65,multiply(X_261,X_260)) = multiply(X_261,multiply(X_65,X_260)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_65,multiply(X_261,X_260)),multiply(X_261,multiply(X_65,X_260))) ),[0],$fot(multiply(X_65,multiply(X_261,multiply(X_65,X_260))))]]) ).
cnf(refute_0_858,plain,
( multiply(X_65,multiply(X_261,X_260)) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,multiply(X_261,X_260)) = multiply(X_261,multiply(X_65,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_261,multiply(X_65,X_260))),multiply(X_261,multiply(X_65,X_260))) )],[refute_0_856,refute_0_857]) ).
cnf(refute_0_859,plain,
( multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))) != multiply(X_65,multiply(X_261,multiply(X_65,X_260)))
| multiply(X_65,multiply(X_261,X_260)) = multiply(X_261,multiply(X_65,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_261,X_260)),multiply(X_65,multiply(X_261,multiply(X_65,X_260)))) )],[refute_0_830,refute_0_858]) ).
cnf(refute_0_860,plain,
multiply(X_65,multiply(X_261,X_260)) = multiply(X_261,multiply(X_65,X_260)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(multiply(X_261,X_260),inverse(X_65))),multiply(X_65,multiply(X_261,multiply(X_65,X_260)))) )],[refute_0_827,refute_0_859]) ).
cnf(refute_0_861,plain,
( multiply(X_65,multiply(X_261,X_260)) != multiply(X_261,multiply(X_65,X_260))
| multiply(X_261,multiply(X_65,X_260)) = multiply(X_65,multiply(X_261,X_260)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_65,multiply(X_261,X_260)))),bind(Y0,$fot(multiply(X_261,multiply(X_65,X_260))))]]) ).
cnf(refute_0_862,plain,
multiply(X_261,multiply(X_65,X_260)) = multiply(X_65,multiply(X_261,X_260)),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_261,X_260)),multiply(X_261,multiply(X_65,X_260))) )],[refute_0_860,refute_0_861]) ).
cnf(refute_0_863,plain,
multiply(add(X,Y),multiply(X,X_177)) = multiply(X,multiply(add(X,Y),X_177)),
inference(subst,[],[refute_0_862:[bind(X_260,$fot(X_177)),bind(X_261,$fot(add(X,Y))),bind(X_65,$fot(X))]]) ).
cnf(refute_0_864,plain,
( multiply(add(X,Y),multiply(X,X_177)) != multiply(X,X_177)
| multiply(add(X,Y),multiply(X,X_177)) != multiply(X,multiply(add(X,Y),X_177))
| multiply(X,multiply(add(X,Y),X_177)) = multiply(X,X_177) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),multiply(X,X_177)) ),[0],$fot(multiply(X,multiply(add(X,Y),X_177)))]]) ).
cnf(refute_0_865,plain,
( multiply(add(X,Y),multiply(X,X_177)) != multiply(X,X_177)
| multiply(X,multiply(add(X,Y),X_177)) = multiply(X,X_177) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),multiply(X,multiply(add(X,Y),X_177))) )],[refute_0_863,refute_0_864]) ).
cnf(refute_0_866,plain,
multiply(X,multiply(add(X,Y),X_177)) = multiply(X,X_177),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,X_177)),multiply(X,X_177)) )],[refute_0_806,refute_0_865]) ).
cnf(refute_0_867,plain,
multiply(X,multiply(add(X,Y),multiply(Z,X_181))) = multiply(X,multiply(Z,X_181)),
inference(subst,[],[refute_0_866:[bind(X_177,$fot(multiply(Z,X_181)))]]) ).
cnf(refute_0_868,plain,
multiply(X_86,multiply(X,Y)) = multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,add(multiply(X,Y),multiply(X,Z)))),
inference(subst,[],[refute_0_154:[bind(X_65,$fot(X_86)),bind(X_66,$fot(multiply(X,Y))),bind(X_67,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_869,plain,
( multiply(X_86,multiply(X,Y)) != multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,add(multiply(X,Y),multiply(X,Z))))
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(X_86,multiply(X,Y)) = multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,multiply(X,Y)),multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,add(multiply(X,Y),multiply(X,Z))))) ),[1,1,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_870,plain,
( multiply(X_86,multiply(X,Y)) != multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,add(multiply(X,Y),multiply(X,Z))))
| multiply(X_86,multiply(X,Y)) = multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_281,refute_0_869]) ).
cnf(refute_0_871,plain,
multiply(X_86,multiply(X,Y)) = multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X,Y)),multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,add(multiply(X,Y),multiply(X,Z))))) )],[refute_0_868,refute_0_870]) ).
cnf(refute_0_872,plain,
multiply(add(X_179,X_180),multiply(X_179,X_181)) = multiply(X_179,X_181),
inference(subst,[],[refute_0_806:[bind(X,$fot(X_179)),bind(Y,$fot(X_180)),bind(X_177,$fot(X_181))]]) ).
cnf(refute_0_873,plain,
multiply(X_181,X_179) = multiply(X_179,X_181),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_181)),bind(Y,$fot(X_179))]]) ).
cnf(refute_0_874,plain,
( multiply(X_181,X_179) != multiply(X_179,X_181)
| multiply(X_179,X_181) = multiply(X_181,X_179) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_181,X_179))),bind(Y0,$fot(multiply(X_179,X_181)))]]) ).
cnf(refute_0_875,plain,
multiply(X_179,X_181) = multiply(X_181,X_179),
inference(resolve,[$cnf( $equal(multiply(X_181,X_179),multiply(X_179,X_181)) )],[refute_0_873,refute_0_874]) ).
cnf(refute_0_876,plain,
( multiply(X_179,X_181) != multiply(X_181,X_179)
| multiply(add(X_179,X_180),multiply(X_179,X_181)) != multiply(X_179,X_181)
| multiply(add(X_179,X_180),multiply(X_181,X_179)) = multiply(X_179,X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_179,X_180),multiply(X_179,X_181)),multiply(X_179,X_181)) ),[0,1],$fot(multiply(X_181,X_179))]]) ).
cnf(refute_0_877,plain,
( multiply(add(X_179,X_180),multiply(X_179,X_181)) != multiply(X_179,X_181)
| multiply(add(X_179,X_180),multiply(X_181,X_179)) = multiply(X_179,X_181) ),
inference(resolve,[$cnf( $equal(multiply(X_179,X_181),multiply(X_181,X_179)) )],[refute_0_875,refute_0_876]) ).
cnf(refute_0_878,plain,
multiply(add(X_179,X_180),multiply(X_181,X_179)) = multiply(X_179,X_181),
inference(resolve,[$cnf( $equal(multiply(add(X_179,X_180),multiply(X_179,X_181)),multiply(X_179,X_181)) )],[refute_0_872,refute_0_877]) ).
cnf(refute_0_879,plain,
multiply(add(Y,Z),multiply(X,Y)) = multiply(Y,X),
inference(subst,[],[refute_0_878:[bind(X_179,$fot(Y)),bind(X_180,$fot(Z)),bind(X_181,$fot(X))]]) ).
cnf(refute_0_880,plain,
multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) = multiply(X_86,multiply(add(Y,Z),multiply(X,Y))),
introduced(tautology,[refl,[$fot(multiply(X_86,multiply(add(Y,Z),multiply(X,Y))))]]) ).
cnf(refute_0_881,plain,
( multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) != multiply(X_86,multiply(add(Y,Z),multiply(X,Y)))
| multiply(add(Y,Z),multiply(X,Y)) != multiply(Y,X)
| multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) = multiply(X_86,multiply(Y,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,multiply(add(Y,Z),multiply(X,Y))),multiply(X_86,multiply(add(Y,Z),multiply(X,Y)))) ),[1,1],$fot(multiply(Y,X))]]) ).
cnf(refute_0_882,plain,
( multiply(add(Y,Z),multiply(X,Y)) != multiply(Y,X)
| multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) = multiply(X_86,multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(add(Y,Z),multiply(X,Y))),multiply(X_86,multiply(add(Y,Z),multiply(X,Y)))) )],[refute_0_880,refute_0_881]) ).
cnf(refute_0_883,plain,
multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) = multiply(X_86,multiply(Y,X)),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),multiply(X,Y)),multiply(Y,X)) )],[refute_0_879,refute_0_882]) ).
cnf(refute_0_884,plain,
multiply(add(X_59,X_60),inverse(X_59)) = add(multiply(X_59,inverse(X_59)),multiply(X_60,inverse(X_59))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(inverse(X_59)))]]) ).
cnf(refute_0_885,plain,
multiply(X_59,inverse(X_59)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_59))]]) ).
cnf(refute_0_886,plain,
( multiply(X_59,inverse(X_59)) != additive_identity
| multiply(add(X_59,X_60),inverse(X_59)) != add(multiply(X_59,inverse(X_59)),multiply(X_60,inverse(X_59)))
| multiply(add(X_59,X_60),inverse(X_59)) = add(additive_identity,multiply(X_60,inverse(X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_59)),add(multiply(X_59,inverse(X_59)),multiply(X_60,inverse(X_59)))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_887,plain,
( multiply(add(X_59,X_60),inverse(X_59)) != add(multiply(X_59,inverse(X_59)),multiply(X_60,inverse(X_59)))
| multiply(add(X_59,X_60),inverse(X_59)) = add(additive_identity,multiply(X_60,inverse(X_59))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,inverse(X_59)),additive_identity) )],[refute_0_885,refute_0_886]) ).
cnf(refute_0_888,plain,
multiply(add(X_59,X_60),inverse(X_59)) = add(additive_identity,multiply(X_60,inverse(X_59))),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_59)),add(multiply(X_59,inverse(X_59)),multiply(X_60,inverse(X_59)))) )],[refute_0_884,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(add(X_59,X_60),inverse(X_59)) = multiply(inverse(X_59),add(X_59,X_60)),
inference(subst,[],[refute_0_134:[bind(X,$fot(inverse(X_59))),bind(Y,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_890,plain,
( multiply(add(X_59,X_60),inverse(X_59)) != multiply(inverse(X_59),add(X_59,X_60))
| multiply(add(X_59,X_60),inverse(X_59)) != add(additive_identity,multiply(X_60,inverse(X_59)))
| multiply(inverse(X_59),add(X_59,X_60)) = add(additive_identity,multiply(X_60,inverse(X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_59)),add(additive_identity,multiply(X_60,inverse(X_59)))) ),[0],$fot(multiply(inverse(X_59),add(X_59,X_60)))]]) ).
cnf(refute_0_891,plain,
( multiply(add(X_59,X_60),inverse(X_59)) != add(additive_identity,multiply(X_60,inverse(X_59)))
| multiply(inverse(X_59),add(X_59,X_60)) = add(additive_identity,multiply(X_60,inverse(X_59))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_59)),multiply(inverse(X_59),add(X_59,X_60))) )],[refute_0_889,refute_0_890]) ).
cnf(refute_0_892,plain,
add(additive_identity,multiply(X_60,inverse(X_59))) = multiply(X_60,inverse(X_59)),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_60,inverse(X_59))))]]) ).
cnf(refute_0_893,plain,
( multiply(inverse(X_59),add(X_59,X_60)) != add(additive_identity,multiply(X_60,inverse(X_59)))
| add(additive_identity,multiply(X_60,inverse(X_59))) != multiply(X_60,inverse(X_59))
| multiply(inverse(X_59),add(X_59,X_60)) = multiply(X_60,inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_59),add(X_59,X_60)),multiply(X_60,inverse(X_59))) ),[0],$fot(add(additive_identity,multiply(X_60,inverse(X_59))))]]) ).
cnf(refute_0_894,plain,
( multiply(inverse(X_59),add(X_59,X_60)) != add(additive_identity,multiply(X_60,inverse(X_59)))
| multiply(inverse(X_59),add(X_59,X_60)) = multiply(X_60,inverse(X_59)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_60,inverse(X_59))),multiply(X_60,inverse(X_59))) )],[refute_0_892,refute_0_893]) ).
cnf(refute_0_895,plain,
( multiply(add(X_59,X_60),inverse(X_59)) != add(additive_identity,multiply(X_60,inverse(X_59)))
| multiply(inverse(X_59),add(X_59,X_60)) = multiply(X_60,inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(X_59,X_60)),add(additive_identity,multiply(X_60,inverse(X_59)))) )],[refute_0_891,refute_0_894]) ).
cnf(refute_0_896,plain,
multiply(inverse(X_59),add(X_59,X_60)) = multiply(X_60,inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_59)),add(additive_identity,multiply(X_60,inverse(X_59)))) )],[refute_0_888,refute_0_895]) ).
cnf(refute_0_897,plain,
multiply(inverse(inverse(X_259)),add(inverse(X_259),multiply(X_261,multiply(X_259,X_260)))) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))),
inference(subst,[],[refute_0_896:[bind(X_59,$fot(inverse(X_259))),bind(X_60,$fot(multiply(X_261,multiply(X_259,X_260))))]]) ).
cnf(refute_0_898,plain,
add(inverse(X_259),multiply(X_261,multiply(X_259,X_260))) = add(multiply(X_261,X_260),inverse(X_259)),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(X_259)),bind(X_11,$fot(X_260)),bind(X_31,$fot(X_261))]]) ).
cnf(refute_0_899,plain,
( multiply(inverse(inverse(X_259)),add(inverse(X_259),multiply(X_261,multiply(X_259,X_260)))) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| add(inverse(X_259),multiply(X_261,multiply(X_259,X_260))) != add(multiply(X_261,X_260),inverse(X_259))
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(inverse(X_259),multiply(X_261,multiply(X_259,X_260)))),multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))) ),[0,1],$fot(add(multiply(X_261,X_260),inverse(X_259)))]]) ).
cnf(refute_0_900,plain,
( multiply(inverse(inverse(X_259)),add(inverse(X_259),multiply(X_261,multiply(X_259,X_260)))) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,X_260))),add(multiply(X_261,X_260),inverse(X_259))) )],[refute_0_898,refute_0_899]) ).
cnf(refute_0_901,plain,
multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(inverse(X_259),multiply(X_261,multiply(X_259,X_260)))),multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))) )],[refute_0_897,refute_0_900]) ).
cnf(refute_0_902,plain,
inverse(inverse(X_259)) = X_259,
inference(subst,[],[refute_0_674:[bind(X_40,$fot(X_259))]]) ).
cnf(refute_0_903,plain,
multiply(multiply(X_261,X_260),inverse(inverse(X_259))) = multiply(multiply(X_261,X_260),inverse(inverse(X_259))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_261,X_260),inverse(inverse(X_259))))]]) ).
cnf(refute_0_904,plain,
( multiply(multiply(X_261,X_260),inverse(inverse(X_259))) != multiply(multiply(X_261,X_260),inverse(inverse(X_259)))
| inverse(inverse(X_259)) != X_259
| multiply(multiply(X_261,X_260),inverse(inverse(X_259))) = multiply(multiply(X_261,X_260),X_259) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_261,X_260),inverse(inverse(X_259))),multiply(multiply(X_261,X_260),inverse(inverse(X_259)))) ),[1,1],$fot(X_259)]]) ).
cnf(refute_0_905,plain,
( inverse(inverse(X_259)) != X_259
| multiply(multiply(X_261,X_260),inverse(inverse(X_259))) = multiply(multiply(X_261,X_260),X_259) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_261,X_260),inverse(inverse(X_259))),multiply(multiply(X_261,X_260),inverse(inverse(X_259)))) )],[refute_0_903,refute_0_904]) ).
cnf(refute_0_906,plain,
multiply(multiply(X_261,X_260),inverse(inverse(X_259))) = multiply(multiply(X_261,X_260),X_259),
inference(resolve,[$cnf( $equal(inverse(inverse(X_259)),X_259) )],[refute_0_902,refute_0_905]) ).
cnf(refute_0_907,plain,
multiply(add(X_59,X_60),inverse(X_60)) = add(multiply(X_59,inverse(X_60)),multiply(X_60,inverse(X_60))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_59)),bind(Y,$fot(X_60)),bind(Z,$fot(inverse(X_60)))]]) ).
cnf(refute_0_908,plain,
multiply(X_60,inverse(X_60)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_60))]]) ).
cnf(refute_0_909,plain,
( multiply(X_60,inverse(X_60)) != additive_identity
| multiply(add(X_59,X_60),inverse(X_60)) != add(multiply(X_59,inverse(X_60)),multiply(X_60,inverse(X_60)))
| multiply(add(X_59,X_60),inverse(X_60)) = add(multiply(X_59,inverse(X_60)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_60)),add(multiply(X_59,inverse(X_60)),multiply(X_60,inverse(X_60)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_910,plain,
( multiply(add(X_59,X_60),inverse(X_60)) != add(multiply(X_59,inverse(X_60)),multiply(X_60,inverse(X_60)))
| multiply(add(X_59,X_60),inverse(X_60)) = add(multiply(X_59,inverse(X_60)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_60,inverse(X_60)),additive_identity) )],[refute_0_908,refute_0_909]) ).
cnf(refute_0_911,plain,
multiply(add(X_59,X_60),inverse(X_60)) = add(multiply(X_59,inverse(X_60)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_60)),add(multiply(X_59,inverse(X_60)),multiply(X_60,inverse(X_60)))) )],[refute_0_907,refute_0_910]) ).
cnf(refute_0_912,plain,
multiply(add(X_59,X_60),inverse(X_60)) = multiply(inverse(X_60),add(X_59,X_60)),
inference(subst,[],[refute_0_134:[bind(X,$fot(inverse(X_60))),bind(Y,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_913,plain,
( multiply(add(X_59,X_60),inverse(X_60)) != multiply(inverse(X_60),add(X_59,X_60))
| multiply(add(X_59,X_60),inverse(X_60)) != add(multiply(X_59,inverse(X_60)),additive_identity)
| multiply(inverse(X_60),add(X_59,X_60)) = add(multiply(X_59,inverse(X_60)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_60)),add(multiply(X_59,inverse(X_60)),additive_identity)) ),[0],$fot(multiply(inverse(X_60),add(X_59,X_60)))]]) ).
cnf(refute_0_914,plain,
( multiply(add(X_59,X_60),inverse(X_60)) != add(multiply(X_59,inverse(X_60)),additive_identity)
| multiply(inverse(X_60),add(X_59,X_60)) = add(multiply(X_59,inverse(X_60)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_60)),multiply(inverse(X_60),add(X_59,X_60))) )],[refute_0_912,refute_0_913]) ).
cnf(refute_0_915,plain,
add(multiply(X_59,inverse(X_60)),additive_identity) = multiply(X_59,inverse(X_60)),
inference(subst,[],[additive_id1:[bind(X,$fot(multiply(X_59,inverse(X_60))))]]) ).
cnf(refute_0_916,plain,
( multiply(inverse(X_60),add(X_59,X_60)) != add(multiply(X_59,inverse(X_60)),additive_identity)
| add(multiply(X_59,inverse(X_60)),additive_identity) != multiply(X_59,inverse(X_60))
| multiply(inverse(X_60),add(X_59,X_60)) = multiply(X_59,inverse(X_60)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_60),add(X_59,X_60)),multiply(X_59,inverse(X_60))) ),[0],$fot(add(multiply(X_59,inverse(X_60)),additive_identity))]]) ).
cnf(refute_0_917,plain,
( multiply(inverse(X_60),add(X_59,X_60)) != add(multiply(X_59,inverse(X_60)),additive_identity)
| multiply(inverse(X_60),add(X_59,X_60)) = multiply(X_59,inverse(X_60)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,inverse(X_60)),additive_identity),multiply(X_59,inverse(X_60))) )],[refute_0_915,refute_0_916]) ).
cnf(refute_0_918,plain,
( multiply(add(X_59,X_60),inverse(X_60)) != add(multiply(X_59,inverse(X_60)),additive_identity)
| multiply(inverse(X_60),add(X_59,X_60)) = multiply(X_59,inverse(X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),add(X_59,X_60)),add(multiply(X_59,inverse(X_60)),additive_identity)) )],[refute_0_914,refute_0_917]) ).
cnf(refute_0_919,plain,
multiply(inverse(X_60),add(X_59,X_60)) = multiply(X_59,inverse(X_60)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),inverse(X_60)),add(multiply(X_59,inverse(X_60)),additive_identity)) )],[refute_0_911,refute_0_918]) ).
cnf(refute_0_920,plain,
multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,X_260),inverse(inverse(X_259))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(multiply(X_261,X_260))),bind(X_60,$fot(inverse(X_259)))]]) ).
cnf(refute_0_921,plain,
( multiply(multiply(X_261,X_260),inverse(inverse(X_259))) != multiply(multiply(X_261,X_260),X_259)
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) != multiply(multiply(X_261,X_260),inverse(inverse(X_259)))
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,X_260),X_259) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))))),bind(Y0,$fot(multiply(multiply(X_261,X_260),inverse(inverse(X_259))))),bind(Z0,$fot(multiply(multiply(X_261,X_260),X_259)))]]) ).
cnf(refute_0_922,plain,
( multiply(multiply(X_261,X_260),inverse(inverse(X_259))) != multiply(multiply(X_261,X_260),X_259)
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,X_260),X_259) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))),multiply(multiply(X_261,X_260),inverse(inverse(X_259)))) )],[refute_0_920,refute_0_921]) ).
cnf(refute_0_923,plain,
multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) = multiply(multiply(X_261,X_260),X_259),
inference(resolve,[$cnf( $equal(multiply(multiply(X_261,X_260),inverse(inverse(X_259))),multiply(multiply(X_261,X_260),X_259)) )],[refute_0_906,refute_0_922]) ).
cnf(refute_0_924,plain,
( multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) != multiply(multiply(X_261,X_260),X_259)
| multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(multiply(X_261,X_260),X_259) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))),multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))) ),[0],$fot(multiply(multiply(X_261,X_260),X_259))]]) ).
cnf(refute_0_925,plain,
( multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(multiply(X_261,X_260),X_259) = multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))),multiply(multiply(X_261,X_260),X_259)) )],[refute_0_923,refute_0_924]) ).
cnf(refute_0_926,plain,
multiply(X_259,multiply(X_261,multiply(X_259,X_260))) = multiply(X_261,multiply(X_259,X_260)),
inference(subst,[],[refute_0_855:[bind(Z,$fot(X_260)),bind(X_199,$fot(X_259)),bind(X_201,$fot(X_261))]]) ).
cnf(refute_0_927,plain,
multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))))]]) ).
cnf(refute_0_928,plain,
( multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) != multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260)))
| inverse(inverse(X_259)) != X_259
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_259,multiply(X_261,multiply(X_259,X_260))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260)))) ),[1,0],$fot(X_259)]]) ).
cnf(refute_0_929,plain,
( inverse(inverse(X_259)) != X_259
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_259,multiply(X_261,multiply(X_259,X_260))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260)))) )],[refute_0_927,refute_0_928]) ).
cnf(refute_0_930,plain,
multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_259,multiply(X_261,multiply(X_259,X_260))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_259)),X_259) )],[refute_0_902,refute_0_929]) ).
cnf(refute_0_931,plain,
( multiply(X_259,multiply(X_261,multiply(X_259,X_260))) != multiply(X_261,multiply(X_259,X_260))
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) != multiply(X_259,multiply(X_261,multiply(X_259,X_260)))
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_261,multiply(X_259,X_260)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))))),bind(Y0,$fot(multiply(X_259,multiply(X_261,multiply(X_259,X_260))))),bind(Z0,$fot(multiply(X_261,multiply(X_259,X_260))))]]) ).
cnf(refute_0_932,plain,
( multiply(X_259,multiply(X_261,multiply(X_259,X_260))) != multiply(X_261,multiply(X_259,X_260))
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_261,multiply(X_259,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),multiply(X_259,multiply(X_261,multiply(X_259,X_260)))) )],[refute_0_930,refute_0_931]) ).
cnf(refute_0_933,plain,
multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) = multiply(X_261,multiply(X_259,X_260)),
inference(resolve,[$cnf( $equal(multiply(X_259,multiply(X_261,multiply(X_259,X_260))),multiply(X_261,multiply(X_259,X_260))) )],[refute_0_926,refute_0_932]) ).
cnf(refute_0_934,plain,
multiply(add(X_87,X_88),X_86) = multiply(X_86,add(X_87,X_88)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_87,X_88))),bind(Y,$fot(X_86))]]) ).
cnf(refute_0_935,plain,
( multiply(add(X_87,X_88),X_86) != multiply(X_86,add(X_87,X_88))
| multiply(X_86,add(X_87,X_88)) = multiply(add(X_87,X_88),X_86) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_87,X_88),X_86))),bind(Y0,$fot(multiply(X_86,add(X_87,X_88))))]]) ).
cnf(refute_0_936,plain,
multiply(X_86,add(X_87,X_88)) = multiply(add(X_87,X_88),X_86),
inference(resolve,[$cnf( $equal(multiply(add(X_87,X_88),X_86),multiply(X_86,add(X_87,X_88))) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
( multiply(X_86,X_87) != multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))
| multiply(X_86,add(X_87,X_88)) != multiply(add(X_87,X_88),X_86)
| multiply(X_86,X_87) = multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,X_87),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) ),[1,1],$fot(multiply(add(X_87,X_88),X_86))]]) ).
cnf(refute_0_938,plain,
( multiply(X_86,X_87) != multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))
| multiply(X_86,X_87) = multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86)) ),
inference(resolve,[$cnf( $equal(multiply(X_86,add(X_87,X_88)),multiply(add(X_87,X_88),X_86)) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
multiply(X_86,X_87) = multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86)),
inference(resolve,[$cnf( $equal(multiply(X_86,X_87),multiply(multiply(X_86,X_87),multiply(X_86,add(X_87,X_88)))) )],[refute_0_155,refute_0_938]) ).
cnf(refute_0_940,plain,
multiply(add(X_66,inverse(add(X_185,X_186))),X_185) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186))))),
inference(subst,[],[refute_0_939:[bind(X_86,$fot(add(X_66,inverse(add(X_185,X_186))))),bind(X_87,$fot(X_185)),bind(X_88,$fot(X_186))]]) ).
cnf(refute_0_941,plain,
multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))) = multiply(add(X_185,X_186),X_66),
inference(subst,[],[refute_0_641:[bind(X_65,$fot(add(X_185,X_186)))]]) ).
cnf(refute_0_942,plain,
( multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))) != multiply(add(X_185,X_186),X_66)
| multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))))
| multiply(add(X_66,inverse(add(X_185,X_186))),X_185) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))))) ),[1,1],$fot(multiply(add(X_185,X_186),X_66))]]) ).
cnf(refute_0_943,plain,
( multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))))
| multiply(add(X_66,inverse(add(X_185,X_186))),X_185) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))),multiply(add(X_185,X_186),X_66)) )],[refute_0_941,refute_0_942]) ).
cnf(refute_0_944,plain,
multiply(add(X_66,inverse(add(X_185,X_186))),X_185) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)),
inference(resolve,[$cnf( $equal(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_940,refute_0_943]) ).
cnf(refute_0_945,plain,
multiply(X,add(multiply(X,X_177),Z)) = add(multiply(X,multiply(X,X_177)),multiply(X,Z)),
inference(subst,[],[distributivity4:[bind(Y,$fot(multiply(X,X_177)))]]) ).
cnf(refute_0_946,plain,
( multiply(X,multiply(X,X_177)) != multiply(X,X_177)
| multiply(X,add(multiply(X,X_177),Z)) != add(multiply(X,multiply(X,X_177)),multiply(X,Z))
| multiply(X,add(multiply(X,X_177),Z)) = add(multiply(X,X_177),multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(multiply(X,X_177),Z)),add(multiply(X,multiply(X,X_177)),multiply(X,Z))) ),[1,0],$fot(multiply(X,X_177))]]) ).
cnf(refute_0_947,plain,
( multiply(X,add(multiply(X,X_177),Z)) != add(multiply(X,multiply(X,X_177)),multiply(X,Z))
| multiply(X,add(multiply(X,X_177),Z)) = add(multiply(X,X_177),multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,X_177)),multiply(X,X_177)) )],[refute_0_799,refute_0_946]) ).
cnf(refute_0_948,plain,
multiply(X,add(multiply(X,X_177),Z)) = add(multiply(X,X_177),multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(multiply(X,X_177),Z)),add(multiply(X,multiply(X,X_177)),multiply(X,Z))) )],[refute_0_945,refute_0_947]) ).
cnf(refute_0_949,plain,
add(multiply(X_10,X_11),multiply(X_11,X_129)) = multiply(add(multiply(X_11,X_129),X_10),add(X_11,multiply(X_11,X_129))),
inference(subst,[],[refute_0_525:[bind(X_12,$fot(multiply(X_11,X_129)))]]) ).
cnf(refute_0_950,plain,
add(X_11,multiply(X_11,X_129)) = X_11,
inference(subst,[],[refute_0_586:[bind(Y,$fot(X_11)),bind(Z,$fot(X_129))]]) ).
cnf(refute_0_951,plain,
( add(X_11,multiply(X_11,X_129)) != X_11
| add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(multiply(X_11,X_129),X_10),add(X_11,multiply(X_11,X_129)))
| add(multiply(X_10,X_11),multiply(X_11,X_129)) = multiply(add(multiply(X_11,X_129),X_10),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_11,X_129)),multiply(add(multiply(X_11,X_129),X_10),add(X_11,multiply(X_11,X_129)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_952,plain,
( add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(multiply(X_11,X_129),X_10),add(X_11,multiply(X_11,X_129)))
| add(multiply(X_10,X_11),multiply(X_11,X_129)) = multiply(add(multiply(X_11,X_129),X_10),X_11) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_11,X_129)),X_11) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
add(multiply(X_10,X_11),multiply(X_11,X_129)) = multiply(add(multiply(X_11,X_129),X_10),X_11),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_11,X_129)),multiply(add(multiply(X_11,X_129),X_10),add(X_11,multiply(X_11,X_129)))) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
multiply(X_61,X_60) = multiply(X_60,X_61),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_61)),bind(Y,$fot(X_60))]]) ).
cnf(refute_0_955,plain,
( multiply(X_61,X_60) != multiply(X_60,X_61)
| multiply(X_60,X_61) = multiply(X_61,X_60) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_61,X_60))),bind(Y0,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_956,plain,
multiply(X_60,X_61) = multiply(X_61,X_60),
inference(resolve,[$cnf( $equal(multiply(X_61,X_60),multiply(X_60,X_61)) )],[refute_0_954,refute_0_955]) ).
cnf(refute_0_957,plain,
( multiply(X_60,X_61) != multiply(X_61,X_60)
| multiply(add(X_59,X_60),X_61) != add(multiply(X_59,X_61),multiply(X_60,X_61))
| multiply(add(X_59,X_60),X_61) = add(multiply(X_59,X_61),multiply(X_61,X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_59,X_60),X_61),add(multiply(X_59,X_61),multiply(X_60,X_61))) ),[1,1],$fot(multiply(X_61,X_60))]]) ).
cnf(refute_0_958,plain,
( multiply(add(X_59,X_60),X_61) != add(multiply(X_59,X_61),multiply(X_60,X_61))
| multiply(add(X_59,X_60),X_61) = add(multiply(X_59,X_61),multiply(X_61,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(X_60,X_61),multiply(X_61,X_60)) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
multiply(add(X_59,X_60),X_61) = add(multiply(X_59,X_61),multiply(X_61,X_60)),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),X_61),add(multiply(X_59,X_61),multiply(X_60,X_61))) )],[refute_0_718,refute_0_958]) ).
cnf(refute_0_960,plain,
( multiply(add(X_59,X_60),X_61) != add(multiply(X_59,X_61),multiply(X_61,X_60))
| add(multiply(X_59,X_61),multiply(X_61,X_60)) = multiply(add(X_59,X_60),X_61) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_59,X_60),X_61))),bind(Y0,$fot(add(multiply(X_59,X_61),multiply(X_61,X_60))))]]) ).
cnf(refute_0_961,plain,
add(multiply(X_59,X_61),multiply(X_61,X_60)) = multiply(add(X_59,X_60),X_61),
inference(resolve,[$cnf( $equal(multiply(add(X_59,X_60),X_61),add(multiply(X_59,X_61),multiply(X_61,X_60))) )],[refute_0_959,refute_0_960]) ).
cnf(refute_0_962,plain,
add(multiply(X_10,X_11),multiply(X_11,X_129)) = multiply(add(X_10,X_129),X_11),
inference(subst,[],[refute_0_961:[bind(X_59,$fot(X_10)),bind(X_60,$fot(X_129)),bind(X_61,$fot(X_11))]]) ).
cnf(refute_0_963,plain,
( add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(X_10,X_129),X_11)
| add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(multiply(X_11,X_129),X_10),X_11)
| multiply(add(X_10,X_129),X_11) = multiply(add(multiply(X_11,X_129),X_10),X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_11,X_129)),multiply(add(multiply(X_11,X_129),X_10),X_11)) ),[0],$fot(multiply(add(X_10,X_129),X_11))]]) ).
cnf(refute_0_964,plain,
( add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(multiply(X_11,X_129),X_10),X_11)
| multiply(add(X_10,X_129),X_11) = multiply(add(multiply(X_11,X_129),X_10),X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_11,X_129)),multiply(add(X_10,X_129),X_11)) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
multiply(add(multiply(X_11,X_129),X_10),X_11) = multiply(X_11,add(multiply(X_11,X_129),X_10)),
inference(subst,[],[refute_0_134:[bind(X,$fot(X_11)),bind(Y,$fot(add(multiply(X_11,X_129),X_10)))]]) ).
cnf(refute_0_966,plain,
( multiply(add(X_10,X_129),X_11) != multiply(add(multiply(X_11,X_129),X_10),X_11)
| multiply(add(multiply(X_11,X_129),X_10),X_11) != multiply(X_11,add(multiply(X_11,X_129),X_10))
| multiply(add(X_10,X_129),X_11) = multiply(X_11,add(multiply(X_11,X_129),X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X_10,X_129),X_11),multiply(X_11,add(multiply(X_11,X_129),X_10))) ),[0],$fot(multiply(add(multiply(X_11,X_129),X_10),X_11))]]) ).
cnf(refute_0_967,plain,
( multiply(add(X_10,X_129),X_11) != multiply(add(multiply(X_11,X_129),X_10),X_11)
| multiply(add(X_10,X_129),X_11) = multiply(X_11,add(multiply(X_11,X_129),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_11,X_129),X_10),X_11),multiply(X_11,add(multiply(X_11,X_129),X_10))) )],[refute_0_965,refute_0_966]) ).
cnf(refute_0_968,plain,
( add(multiply(X_10,X_11),multiply(X_11,X_129)) != multiply(add(multiply(X_11,X_129),X_10),X_11)
| multiply(add(X_10,X_129),X_11) = multiply(X_11,add(multiply(X_11,X_129),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_129),X_11),multiply(add(multiply(X_11,X_129),X_10),X_11)) )],[refute_0_964,refute_0_967]) ).
cnf(refute_0_969,plain,
multiply(add(X_10,X_129),X_11) = multiply(X_11,add(multiply(X_11,X_129),X_10)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_11,X_129)),multiply(add(multiply(X_11,X_129),X_10),X_11)) )],[refute_0_953,refute_0_968]) ).
cnf(refute_0_970,plain,
( multiply(add(X_10,X_129),X_11) != multiply(X_11,add(multiply(X_11,X_129),X_10))
| multiply(X_11,add(multiply(X_11,X_129),X_10)) = multiply(add(X_10,X_129),X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_10,X_129),X_11))),bind(Y0,$fot(multiply(X_11,add(multiply(X_11,X_129),X_10))))]]) ).
cnf(refute_0_971,plain,
multiply(X_11,add(multiply(X_11,X_129),X_10)) = multiply(add(X_10,X_129),X_11),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_129),X_11),multiply(X_11,add(multiply(X_11,X_129),X_10))) )],[refute_0_969,refute_0_970]) ).
cnf(refute_0_972,plain,
multiply(X,add(multiply(X,X_177),Z)) = multiply(add(Z,X_177),X),
inference(subst,[],[refute_0_971:[bind(X_10,$fot(Z)),bind(X_11,$fot(X)),bind(X_129,$fot(X_177))]]) ).
cnf(refute_0_973,plain,
( multiply(X,add(multiply(X,X_177),Z)) != multiply(add(Z,X_177),X)
| multiply(X,add(multiply(X,X_177),Z)) != add(multiply(X,X_177),multiply(X,Z))
| multiply(add(Z,X_177),X) = add(multiply(X,X_177),multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(multiply(X,X_177),Z)),add(multiply(X,X_177),multiply(X,Z))) ),[0],$fot(multiply(add(Z,X_177),X))]]) ).
cnf(refute_0_974,plain,
( multiply(X,add(multiply(X,X_177),Z)) != add(multiply(X,X_177),multiply(X,Z))
| multiply(add(Z,X_177),X) = add(multiply(X,X_177),multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,add(multiply(X,X_177),Z)),multiply(add(Z,X_177),X)) )],[refute_0_972,refute_0_973]) ).
cnf(refute_0_975,plain,
add(multiply(X,X_177),multiply(X,Z)) = multiply(X,add(X_177,Z)),
inference(subst,[],[refute_0_281:[bind(Y,$fot(X_177))]]) ).
cnf(refute_0_976,plain,
( multiply(add(Z,X_177),X) != add(multiply(X,X_177),multiply(X,Z))
| add(multiply(X,X_177),multiply(X,Z)) != multiply(X,add(X_177,Z))
| multiply(add(Z,X_177),X) = multiply(X,add(X_177,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(Z,X_177),X),multiply(X,add(X_177,Z))) ),[0],$fot(add(multiply(X,X_177),multiply(X,Z)))]]) ).
cnf(refute_0_977,plain,
( multiply(add(Z,X_177),X) != add(multiply(X,X_177),multiply(X,Z))
| multiply(add(Z,X_177),X) = multiply(X,add(X_177,Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,X_177),multiply(X,Z)),multiply(X,add(X_177,Z))) )],[refute_0_975,refute_0_976]) ).
cnf(refute_0_978,plain,
( multiply(X,add(multiply(X,X_177),Z)) != add(multiply(X,X_177),multiply(X,Z))
| multiply(add(Z,X_177),X) = multiply(X,add(X_177,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,X_177),X),add(multiply(X,X_177),multiply(X,Z))) )],[refute_0_974,refute_0_977]) ).
cnf(refute_0_979,plain,
multiply(add(Z,X_177),X) = multiply(X,add(X_177,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(multiply(X,X_177),Z)),add(multiply(X,X_177),multiply(X,Z))) )],[refute_0_948,refute_0_978]) ).
cnf(refute_0_980,plain,
multiply(add(X_66,inverse(add(X_185,X_186))),X_185) = multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),
inference(subst,[],[refute_0_979:[bind(X,$fot(X_185)),bind(Z,$fot(X_66)),bind(X_177,$fot(inverse(add(X_185,X_186))))]]) ).
cnf(refute_0_981,plain,
( multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(X_185,add(inverse(add(X_185,X_186)),X_66))
| multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))) ),[0],$fot(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)))]]) ).
cnf(refute_0_982,plain,
( multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(X_185,add(inverse(add(X_185,X_186)),X_66))) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(X_65,add(multiply(X_175,X_174),inverse(X_65))) = multiply(X_65,multiply(X_175,X_174)),
inference(subst,[],[refute_0_641:[bind(X_66,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_984,plain,
add(multiply(X_175,X_174),inverse(X_65)) = add(multiply(X_174,X_175),inverse(X_65)),
inference(subst,[],[refute_0_710:[bind(X_10,$fot(X_174)),bind(X_11,$fot(X_175)),bind(X_12,$fot(inverse(X_65)))]]) ).
cnf(refute_0_985,plain,
( multiply(X_65,add(multiply(X_175,X_174),inverse(X_65))) != multiply(X_65,multiply(X_175,X_174))
| add(multiply(X_175,X_174),inverse(X_65)) != add(multiply(X_174,X_175),inverse(X_65))
| multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) = multiply(X_65,multiply(X_175,X_174)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(multiply(X_175,X_174),inverse(X_65))),multiply(X_65,multiply(X_175,X_174))) ),[0,1],$fot(add(multiply(X_174,X_175),inverse(X_65)))]]) ).
cnf(refute_0_986,plain,
( multiply(X_65,add(multiply(X_175,X_174),inverse(X_65))) != multiply(X_65,multiply(X_175,X_174))
| multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) = multiply(X_65,multiply(X_175,X_174)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),inverse(X_65)),add(multiply(X_174,X_175),inverse(X_65))) )],[refute_0_984,refute_0_985]) ).
cnf(refute_0_987,plain,
multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) = multiply(X_65,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(multiply(X_175,X_174),inverse(X_65))),multiply(X_65,multiply(X_175,X_174))) )],[refute_0_983,refute_0_986]) ).
cnf(refute_0_988,plain,
multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) = multiply(X_65,multiply(X_174,X_175)),
inference(subst,[],[refute_0_641:[bind(X_66,$fot(multiply(X_174,X_175)))]]) ).
cnf(refute_0_989,plain,
( multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) != multiply(X_65,multiply(X_174,X_175))
| multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) != multiply(X_65,multiply(X_175,X_174))
| multiply(X_65,multiply(X_174,X_175)) = multiply(X_65,multiply(X_175,X_174)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))),multiply(X_65,multiply(X_175,X_174))) ),[0],$fot(multiply(X_65,multiply(X_174,X_175)))]]) ).
cnf(refute_0_990,plain,
( multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))) != multiply(X_65,multiply(X_175,X_174))
| multiply(X_65,multiply(X_174,X_175)) = multiply(X_65,multiply(X_175,X_174)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))),multiply(X_65,multiply(X_174,X_175))) )],[refute_0_988,refute_0_989]) ).
cnf(refute_0_991,plain,
multiply(X_65,multiply(X_174,X_175)) = multiply(X_65,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(multiply(X_174,X_175),inverse(X_65))),multiply(X_65,multiply(X_175,X_174))) )],[refute_0_987,refute_0_990]) ).
cnf(refute_0_992,plain,
( multiply(X_65,multiply(X_174,X_175)) != multiply(X_65,multiply(X_175,X_174))
| multiply(X_65,multiply(X_175,X_174)) = multiply(X_65,multiply(X_174,X_175)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_65,multiply(X_174,X_175)))),bind(Y0,$fot(multiply(X_65,multiply(X_175,X_174))))]]) ).
cnf(refute_0_993,plain,
multiply(X_65,multiply(X_175,X_174)) = multiply(X_65,multiply(X_174,X_175)),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_174,X_175)),multiply(X_65,multiply(X_175,X_174))) )],[refute_0_991,refute_0_992]) ).
cnf(refute_0_994,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),
inference(subst,[],[refute_0_993:[bind(X_174,$fot(X_185)),bind(X_175,$fot(add(X_66,inverse(add(X_185,X_186))))),bind(X_65,$fot(multiply(add(X_185,X_186),X_66)))]]) ).
cnf(refute_0_995,plain,
multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)),
inference(subst,[],[refute_0_134:[bind(X,$fot(multiply(add(X_185,X_186),X_66))),bind(Y,$fot(multiply(add(X_66,inverse(add(X_185,X_186))),X_185)))]]) ).
cnf(refute_0_996,plain,
( multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) != multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185))
| multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)))),bind(Y0,$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)))),bind(Z0,$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))))]]) ).
cnf(refute_0_997,plain,
( multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)),multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185))) )],[refute_0_995,refute_0_996]) ).
cnf(refute_0_998,plain,
multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(add(X_66,inverse(add(X_185,X_186))),X_185)),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_994,refute_0_997]) ).
cnf(refute_0_999,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))
| multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) ),[0],$fot(multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)))]]) ).
cnf(refute_0_1000,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66)),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_998,refute_0_999]) ).
cnf(refute_0_1001,plain,
( multiply(add(X_66,inverse(add(X_185,X_186))),X_185) != multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
inference(resolve,[$cnf( $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))) )],[refute_0_982,refute_0_1000]) ).
cnf(refute_0_1002,plain,
multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),
inference(resolve,[$cnf( $equal(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(multiply(add(X_66,inverse(add(X_185,X_186))),X_185),multiply(add(X_185,X_186),X_66))) )],[refute_0_944,refute_0_1001]) ).
cnf(refute_0_1003,plain,
multiply(X,add(inverse(add(X,X_188)),Z)) = add(multiply(X,inverse(add(X,X_188))),multiply(X,Z)),
inference(subst,[],[distributivity4:[bind(Y,$fot(inverse(add(X,X_188))))]]) ).
cnf(refute_0_1004,plain,
multiply(inverse(add(X_185,X_186)),X_185) = multiply(multiply(inverse(add(X_185,X_186)),X_185),multiply(add(X_185,X_186),inverse(add(X_185,X_186)))),
inference(subst,[],[refute_0_939:[bind(X_86,$fot(inverse(add(X_185,X_186)))),bind(X_87,$fot(X_185)),bind(X_88,$fot(X_186))]]) ).
cnf(refute_0_1005,plain,
multiply(add(X_185,X_186),inverse(add(X_185,X_186))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(add(X_185,X_186)))]]) ).
cnf(refute_0_1006,plain,
( multiply(add(X_185,X_186),inverse(add(X_185,X_186))) != additive_identity
| multiply(inverse(add(X_185,X_186)),X_185) != multiply(multiply(inverse(add(X_185,X_186)),X_185),multiply(add(X_185,X_186),inverse(add(X_185,X_186))))
| multiply(inverse(add(X_185,X_186)),X_185) = multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_185,X_186)),X_185),multiply(multiply(inverse(add(X_185,X_186)),X_185),multiply(add(X_185,X_186),inverse(add(X_185,X_186))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1007,plain,
( multiply(inverse(add(X_185,X_186)),X_185) != multiply(multiply(inverse(add(X_185,X_186)),X_185),multiply(add(X_185,X_186),inverse(add(X_185,X_186))))
| multiply(inverse(add(X_185,X_186)),X_185) = multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(X_185,X_186),inverse(add(X_185,X_186))),additive_identity) )],[refute_0_1005,refute_0_1006]) ).
cnf(refute_0_1008,plain,
multiply(inverse(add(X_185,X_186)),X_185) = multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_185,X_186)),X_185),multiply(multiply(inverse(add(X_185,X_186)),X_185),multiply(add(X_185,X_186),inverse(add(X_185,X_186))))) )],[refute_0_1004,refute_0_1007]) ).
cnf(refute_0_1009,plain,
multiply(add(inverse(X_59),X_180),multiply(inverse(X_59),add(X_59,X_60))) = multiply(inverse(X_59),add(X_59,X_60)),
inference(subst,[],[refute_0_806:[bind(X,$fot(inverse(X_59))),bind(Y,$fot(X_180)),bind(X_177,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_1010,plain,
( multiply(add(inverse(X_59),X_180),multiply(inverse(X_59),add(X_59,X_60))) != multiply(inverse(X_59),add(X_59,X_60))
| multiply(inverse(X_59),add(X_59,X_60)) != multiply(X_60,inverse(X_59))
| multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(inverse(X_59),add(X_59,X_60)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(inverse(X_59),add(X_59,X_60))),multiply(inverse(X_59),add(X_59,X_60))) ),[0,1],$fot(multiply(X_60,inverse(X_59)))]]) ).
cnf(refute_0_1011,plain,
( multiply(add(inverse(X_59),X_180),multiply(inverse(X_59),add(X_59,X_60))) != multiply(inverse(X_59),add(X_59,X_60))
| multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(inverse(X_59),add(X_59,X_60)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(X_59,X_60)),multiply(X_60,inverse(X_59))) )],[refute_0_896,refute_0_1010]) ).
cnf(refute_0_1012,plain,
multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(inverse(X_59),add(X_59,X_60)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(inverse(X_59),add(X_59,X_60))),multiply(inverse(X_59),add(X_59,X_60))) )],[refute_0_1009,refute_0_1011]) ).
cnf(refute_0_1013,plain,
( multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) != multiply(inverse(X_59),add(X_59,X_60))
| multiply(inverse(X_59),add(X_59,X_60)) != multiply(X_60,inverse(X_59))
| multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(X_60,inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))),multiply(X_60,inverse(X_59))) ),[0],$fot(multiply(inverse(X_59),add(X_59,X_60)))]]) ).
cnf(refute_0_1014,plain,
( multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) != multiply(inverse(X_59),add(X_59,X_60))
| multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(X_60,inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(X_59,X_60)),multiply(X_60,inverse(X_59))) )],[refute_0_896,refute_0_1013]) ).
cnf(refute_0_1015,plain,
multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(X_60,inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))),multiply(inverse(X_59),add(X_59,X_60))) )],[refute_0_1012,refute_0_1014]) ).
cnf(refute_0_1016,plain,
multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) = multiply(inverse(X_59),X_60),
inference(subst,[],[refute_0_878:[bind(X_179,$fot(inverse(X_59))),bind(X_181,$fot(X_60))]]) ).
cnf(refute_0_1017,plain,
( multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) != multiply(X_60,inverse(X_59))
| multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) != multiply(inverse(X_59),X_60)
| multiply(inverse(X_59),X_60) = multiply(X_60,inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))),multiply(X_60,inverse(X_59))) ),[0],$fot(multiply(inverse(X_59),X_60))]]) ).
cnf(refute_0_1018,plain,
( multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))) != multiply(X_60,inverse(X_59))
| multiply(inverse(X_59),X_60) = multiply(X_60,inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))),multiply(inverse(X_59),X_60)) )],[refute_0_1016,refute_0_1017]) ).
cnf(refute_0_1019,plain,
multiply(inverse(X_59),X_60) = multiply(X_60,inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_59),X_180),multiply(X_60,inverse(X_59))),multiply(X_60,inverse(X_59))) )],[refute_0_1015,refute_0_1018]) ).
cnf(refute_0_1020,plain,
multiply(inverse(add(X_185,X_186)),X_185) = multiply(X_185,inverse(add(X_185,X_186))),
inference(subst,[],[refute_0_1019:[bind(X_59,$fot(add(X_185,X_186))),bind(X_60,$fot(X_185))]]) ).
cnf(refute_0_1021,plain,
( multiply(inverse(add(X_185,X_186)),X_185) != multiply(X_185,inverse(add(X_185,X_186)))
| multiply(inverse(add(X_185,X_186)),X_185) != multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)
| multiply(X_185,inverse(add(X_185,X_186))) = multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_185,X_186)),X_185),multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)) ),[0],$fot(multiply(X_185,inverse(add(X_185,X_186))))]]) ).
cnf(refute_0_1022,plain,
( multiply(inverse(add(X_185,X_186)),X_185) != multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)
| multiply(X_185,inverse(add(X_185,X_186))) = multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_185,X_186)),X_185),multiply(X_185,inverse(add(X_185,X_186)))) )],[refute_0_1020,refute_0_1021]) ).
cnf(refute_0_1023,plain,
multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) = additive_identity,
inference(subst,[],[refute_0_488:[bind(X_10,$fot(multiply(inverse(add(X_185,X_186)),X_185)))]]) ).
cnf(refute_0_1024,plain,
( multiply(X_185,inverse(add(X_185,X_186))) != multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)
| multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity) != additive_identity
| multiply(X_185,inverse(add(X_185,X_186))) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_185,inverse(add(X_185,X_186))),additive_identity) ),[0],$fot(multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity))]]) ).
cnf(refute_0_1025,plain,
( multiply(X_185,inverse(add(X_185,X_186))) != multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)
| multiply(X_185,inverse(add(X_185,X_186))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity),additive_identity) )],[refute_0_1023,refute_0_1024]) ).
cnf(refute_0_1026,plain,
( multiply(inverse(add(X_185,X_186)),X_185) != multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)
| multiply(X_185,inverse(add(X_185,X_186))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_185,inverse(add(X_185,X_186))),multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)) )],[refute_0_1022,refute_0_1025]) ).
cnf(refute_0_1027,plain,
multiply(X_185,inverse(add(X_185,X_186))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_185,X_186)),X_185),multiply(multiply(inverse(add(X_185,X_186)),X_185),additive_identity)) )],[refute_0_1008,refute_0_1026]) ).
cnf(refute_0_1028,plain,
multiply(X,inverse(add(X,X_188))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(X)),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_1029,plain,
( multiply(X,add(inverse(add(X,X_188)),Z)) != add(multiply(X,inverse(add(X,X_188))),multiply(X,Z))
| multiply(X,inverse(add(X,X_188))) != additive_identity
| multiply(X,add(inverse(add(X,X_188)),Z)) = add(additive_identity,multiply(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(inverse(add(X,X_188)),Z)),add(multiply(X,inverse(add(X,X_188))),multiply(X,Z))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1030,plain,
( multiply(X,add(inverse(add(X,X_188)),Z)) != add(multiply(X,inverse(add(X,X_188))),multiply(X,Z))
| multiply(X,add(inverse(add(X,X_188)),Z)) = add(additive_identity,multiply(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(add(X,X_188))),additive_identity) )],[refute_0_1028,refute_0_1029]) ).
cnf(refute_0_1031,plain,
multiply(X,add(inverse(add(X,X_188)),Z)) = add(additive_identity,multiply(X,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(inverse(add(X,X_188)),Z)),add(multiply(X,inverse(add(X,X_188))),multiply(X,Z))) )],[refute_0_1003,refute_0_1030]) ).
cnf(refute_0_1032,plain,
add(additive_identity,multiply(X,Z)) = multiply(X,Z),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_1033,plain,
( multiply(X,add(inverse(add(X,X_188)),Z)) != add(additive_identity,multiply(X,Z))
| add(additive_identity,multiply(X,Z)) != multiply(X,Z)
| multiply(X,add(inverse(add(X,X_188)),Z)) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(inverse(add(X,X_188)),Z)),multiply(X,Z)) ),[0],$fot(add(additive_identity,multiply(X,Z)))]]) ).
cnf(refute_0_1034,plain,
( multiply(X,add(inverse(add(X,X_188)),Z)) != add(additive_identity,multiply(X,Z))
| multiply(X,add(inverse(add(X,X_188)),Z)) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X,Z)),multiply(X,Z)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
multiply(X,add(inverse(add(X,X_188)),Z)) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(X,add(inverse(add(X,X_188)),Z)),add(additive_identity,multiply(X,Z))) )],[refute_0_1031,refute_0_1034]) ).
cnf(refute_0_1036,plain,
multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) = multiply(X_185,X_66),
inference(subst,[],[refute_0_1035:[bind(X,$fot(X_185)),bind(Z,$fot(X_66)),bind(X_188,$fot(X_186))]]) ).
cnf(refute_0_1037,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(X_185,X_66)
| multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(X_185,X_66) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) ),[0],$fot(multiply(X_185,X_66))]]) ).
cnf(refute_0_1038,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(X_185,X_66) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) ),
inference(resolve,[$cnf( $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),multiply(X_185,X_66)) )],[refute_0_1036,refute_0_1037]) ).
cnf(refute_0_1039,plain,
( multiply(X_86,X_87) != multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86))
| multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86)) = multiply(X_86,X_87) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_86,X_87))),bind(Y0,$fot(multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86))))]]) ).
cnf(refute_0_1040,plain,
multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86)) = multiply(X_86,X_87),
inference(resolve,[$cnf( $equal(multiply(X_86,X_87),multiply(multiply(X_86,X_87),multiply(add(X_87,X_88),X_86))) )],[refute_0_939,refute_0_1039]) ).
cnf(refute_0_1041,plain,
multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)) = multiply(X_66,X_185),
inference(subst,[],[refute_0_1040:[bind(X_86,$fot(X_66)),bind(X_87,$fot(X_185)),bind(X_88,$fot(X_186))]]) ).
cnf(refute_0_1042,plain,
multiply(add(inverse(add(X_185,X_186)),X_67),X_185) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67))),
inference(subst,[],[refute_0_939:[bind(X_86,$fot(add(inverse(add(X_185,X_186)),X_67))),bind(X_87,$fot(X_185)),bind(X_88,$fot(X_186))]]) ).
cnf(refute_0_1043,plain,
multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)) = multiply(add(X_185,X_186),X_67),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(add(X_185,X_186)))]]) ).
cnf(refute_0_1044,plain,
( multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)) != multiply(add(X_185,X_186),X_67)
| multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)))
| multiply(add(inverse(add(X_185,X_186)),X_67),X_185) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)))) ),[1,1],$fot(multiply(add(X_185,X_186),X_67))]]) ).
cnf(refute_0_1045,plain,
( multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)))
| multiply(add(inverse(add(X_185,X_186)),X_67),X_185) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)),multiply(add(X_185,X_186),X_67)) )],[refute_0_1043,refute_0_1044]) ).
cnf(refute_0_1046,plain,
multiply(add(inverse(add(X_185,X_186)),X_67),X_185) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1042,refute_0_1045]) ).
cnf(refute_0_1047,plain,
multiply(add(inverse(add(X_185,X_186)),X_67),X_185) = multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),
inference(subst,[],[refute_0_979:[bind(X,$fot(X_185)),bind(Z,$fot(inverse(add(X_185,X_186)))),bind(X_177,$fot(X_67))]]) ).
cnf(refute_0_1048,plain,
( multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(X_185,add(X_67,inverse(add(X_185,X_186))))
| multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))) ),[0],$fot(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))))]]) ).
cnf(refute_0_1049,plain,
( multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(X_185,add(X_67,inverse(add(X_185,X_186))))) )],[refute_0_1047,refute_0_1048]) ).
cnf(refute_0_1050,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),
inference(subst,[],[refute_0_993:[bind(X_174,$fot(X_185)),bind(X_175,$fot(add(inverse(add(X_185,X_186)),X_67))),bind(X_65,$fot(multiply(add(X_185,X_186),X_67)))]]) ).
cnf(refute_0_1051,plain,
multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) = multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)),
inference(subst,[],[refute_0_134:[bind(X,$fot(multiply(add(X_185,X_186),X_67))),bind(Y,$fot(multiply(add(inverse(add(X_185,X_186)),X_67),X_185)))]]) ).
cnf(refute_0_1052,plain,
( multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) != multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185))
| multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)))),bind(Y0,$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)))),bind(Z0,$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))))]]) ).
cnf(refute_0_1053,plain,
( multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)),multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185))) )],[refute_0_1051,refute_0_1052]) ).
cnf(refute_0_1054,plain,
multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(add(inverse(add(X_185,X_186)),X_67),X_185)),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1050,refute_0_1053]) ).
cnf(refute_0_1055,plain,
( multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))
| multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) ),[0],$fot(multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)))]]) ).
cnf(refute_0_1056,plain,
( multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67)),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1054,refute_0_1055]) ).
cnf(refute_0_1057,plain,
( multiply(add(inverse(add(X_185,X_186)),X_67),X_185) != multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))) )],[refute_0_1049,refute_0_1056]) ).
cnf(refute_0_1058,plain,
multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(multiply(add(inverse(add(X_185,X_186)),X_67),X_185),multiply(add(X_185,X_186),X_67))) )],[refute_0_1046,refute_0_1057]) ).
cnf(refute_0_1059,plain,
multiply(X,add(Y,inverse(add(X,X_188)))) = add(multiply(X,Y),multiply(X,inverse(add(X,X_188)))),
inference(subst,[],[distributivity4:[bind(Z,$fot(inverse(add(X,X_188))))]]) ).
cnf(refute_0_1060,plain,
( multiply(X,add(Y,inverse(add(X,X_188)))) != add(multiply(X,Y),multiply(X,inverse(add(X,X_188))))
| multiply(X,inverse(add(X,X_188))) != additive_identity
| multiply(X,add(Y,inverse(add(X,X_188)))) = add(multiply(X,Y),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,add(Y,inverse(add(X,X_188)))),add(multiply(X,Y),multiply(X,inverse(add(X,X_188))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1061,plain,
( multiply(X,add(Y,inverse(add(X,X_188)))) != add(multiply(X,Y),multiply(X,inverse(add(X,X_188))))
| multiply(X,add(Y,inverse(add(X,X_188)))) = add(multiply(X,Y),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(add(X,X_188))),additive_identity) )],[refute_0_1028,refute_0_1060]) ).
cnf(refute_0_1062,plain,
multiply(X,add(Y,inverse(add(X,X_188)))) = add(multiply(X,Y),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,inverse(add(X,X_188)))),add(multiply(X,Y),multiply(X,inverse(add(X,X_188))))) )],[refute_0_1059,refute_0_1061]) ).
cnf(refute_0_1063,plain,
add(additive_identity,multiply(Y,X)) = multiply(Y,X),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_1064,plain,
( add(X,multiply(X_175,X_174)) != add(multiply(X_174,X_175),X)
| add(multiply(X_174,X_175),X) = add(X,multiply(X_175,X_174)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(X_175,X_174)))),bind(Y0,$fot(add(multiply(X_174,X_175),X)))]]) ).
cnf(refute_0_1065,plain,
add(multiply(X_174,X_175),X) = add(X,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(add(X,multiply(X_175,X_174)),add(multiply(X_174,X_175),X)) )],[refute_0_843,refute_0_1064]) ).
cnf(refute_0_1066,plain,
add(multiply(X,Y),additive_identity) = add(additive_identity,multiply(Y,X)),
inference(subst,[],[refute_0_1065:[bind(X,$fot(additive_identity)),bind(X_174,$fot(X)),bind(X_175,$fot(Y))]]) ).
cnf(refute_0_1067,plain,
( add(multiply(X,Y),additive_identity) != add(additive_identity,multiply(Y,X))
| add(additive_identity,multiply(Y,X)) != multiply(Y,X)
| add(multiply(X,Y),additive_identity) = multiply(Y,X) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X,Y),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(Y,X)))),bind(Z0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_1068,plain,
( add(additive_identity,multiply(Y,X)) != multiply(Y,X)
| add(multiply(X,Y),additive_identity) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),additive_identity),add(additive_identity,multiply(Y,X))) )],[refute_0_1066,refute_0_1067]) ).
cnf(refute_0_1069,plain,
add(multiply(X,Y),additive_identity) = multiply(Y,X),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Y,X)),multiply(Y,X)) )],[refute_0_1063,refute_0_1068]) ).
cnf(refute_0_1070,plain,
( multiply(X,add(Y,inverse(add(X,X_188)))) != add(multiply(X,Y),additive_identity)
| add(multiply(X,Y),additive_identity) != multiply(Y,X)
| multiply(X,add(Y,inverse(add(X,X_188)))) = multiply(Y,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,add(Y,inverse(add(X,X_188)))),multiply(Y,X)) ),[0],$fot(add(multiply(X,Y),additive_identity))]]) ).
cnf(refute_0_1071,plain,
( multiply(X,add(Y,inverse(add(X,X_188)))) != add(multiply(X,Y),additive_identity)
| multiply(X,add(Y,inverse(add(X,X_188)))) = multiply(Y,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),additive_identity),multiply(Y,X)) )],[refute_0_1069,refute_0_1070]) ).
cnf(refute_0_1072,plain,
multiply(X,add(Y,inverse(add(X,X_188)))) = multiply(Y,X),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,inverse(add(X,X_188)))),add(multiply(X,Y),additive_identity)) )],[refute_0_1062,refute_0_1071]) ).
cnf(refute_0_1073,plain,
multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) = multiply(X_67,X_185),
inference(subst,[],[refute_0_1072:[bind(X,$fot(X_185)),bind(Y,$fot(X_67)),bind(X_188,$fot(X_186))]]) ).
cnf(refute_0_1074,plain,
( multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(X_67,X_185)
| multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(X_67,X_185) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) ),[0],$fot(multiply(X_67,X_185))]]) ).
cnf(refute_0_1075,plain,
( multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(X_67,X_185) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) ),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),multiply(X_67,X_185)) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(multiply(X_59,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61))),
inference(subst,[],[refute_0_202:[bind(X_22,$fot(multiply(X_60,X_61))),bind(X_23,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_1077,plain,
( add(multiply(X_59,X_61),multiply(X_60,X_61)) != multiply(add(X_59,X_60),X_61)
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != multiply(multiply(X_59,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),multiply(multiply(X_59,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))) ),[1,1],$fot(multiply(add(X_59,X_60),X_61))]]) ).
cnf(refute_0_1078,plain,
( add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != multiply(multiply(X_59,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_61),multiply(X_60,X_61)),multiply(add(X_59,X_60),X_61)) )],[refute_0_720,refute_0_1077]) ).
cnf(refute_0_1079,plain,
add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),multiply(multiply(X_59,X_61),add(multiply(X_59,X_61),multiply(X_60,X_61)))) )],[refute_0_1076,refute_0_1078]) ).
cnf(refute_0_1080,plain,
add(additive_identity,multiply(X_59,X_61)) = multiply(X_59,X_61),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_1081,plain,
multiply(additive_identity,multiply(X_60,X_61)) = additive_identity,
inference(subst,[],[refute_0_337:[bind(X_60,$fot(multiply(X_60,X_61)))]]) ).
cnf(refute_0_1082,plain,
add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)))]]) ).
cnf(refute_0_1083,plain,
( multiply(additive_identity,multiply(X_60,X_61)) != additive_identity
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61))
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = add(additive_identity,multiply(X_59,X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1084,plain,
( multiply(additive_identity,multiply(X_60,X_61)) != additive_identity
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = add(additive_identity,multiply(X_59,X_61)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = add(additive_identity,multiply(X_59,X_61)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,multiply(X_60,X_61)),additive_identity) )],[refute_0_1081,refute_0_1084]) ).
cnf(refute_0_1086,plain,
( add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != add(additive_identity,multiply(X_59,X_61))
| add(additive_identity,multiply(X_59,X_61)) != multiply(X_59,X_61)
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(X_59,X_61) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)))),bind(Y0,$fot(add(additive_identity,multiply(X_59,X_61)))),bind(Z0,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_1087,plain,
( add(additive_identity,multiply(X_59,X_61)) != multiply(X_59,X_61)
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(X_59,X_61) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),add(additive_identity,multiply(X_59,X_61))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) = multiply(X_59,X_61),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_59,X_61)),multiply(X_59,X_61)) )],[refute_0_1080,refute_0_1087]) ).
cnf(refute_0_1089,plain,
( add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != multiply(X_59,X_61)
| add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))
| multiply(X_59,X_61) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))) ),[0],$fot(multiply(X_59,X_61))]]) ).
cnf(refute_0_1090,plain,
( add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)) != multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))
| multiply(X_59,X_61) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),multiply(X_59,X_61)) )],[refute_0_1088,refute_0_1089]) ).
cnf(refute_0_1091,plain,
multiply(X_59,X_61) = multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,multiply(X_60,X_61)),multiply(X_59,X_61)),multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))) )],[refute_0_1079,refute_0_1090]) ).
cnf(refute_0_1092,plain,
( multiply(X_59,X_61) != multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))
| multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_59,X_61) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_59,X_61))),bind(Y0,$fot(multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))))]]) ).
cnf(refute_0_1093,plain,
multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_59,X_61),
inference(resolve,[$cnf( $equal(multiply(X_59,X_61),multiply(multiply(X_59,X_61),multiply(add(X_59,X_60),X_61))) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)) = multiply(X_185,X_67),
inference(subst,[],[refute_0_1093:[bind(X_59,$fot(X_185)),bind(X_60,$fot(X_186)),bind(X_61,$fot(X_67))]]) ).
cnf(refute_0_1095,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) = multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(multiply(add(X_185,X_186),X_67))),bind(Y,$fot(multiply(X_185,X_67)))]]) ).
cnf(refute_0_1096,plain,
( multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) != multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67))
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) = multiply(X_185,X_67) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)))),bind(Y0,$fot(multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)))),bind(Z0,$fot(multiply(X_185,X_67)))]]) ).
cnf(refute_0_1097,plain,
( multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) = multiply(X_185,X_67) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)),multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67))) )],[refute_0_1095,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) = multiply(X_185,X_67),
inference(resolve,[$cnf( $equal(multiply(multiply(X_185,X_67),multiply(add(X_185,X_186),X_67)),multiply(X_185,X_67)) )],[refute_0_1094,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiply(X_185,add(inverse(add(X_185,X_186)),X_67)) = multiply(X_185,X_67),
inference(subst,[],[refute_0_1035:[bind(X,$fot(X_185)),bind(Z,$fot(X_67)),bind(X_188,$fot(X_186))]]) ).
cnf(refute_0_1100,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))))]]) ).
cnf(refute_0_1101,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) ),[1,1],$fot(multiply(X_185,X_67))]]) ).
cnf(refute_0_1102,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1100,refute_0_1101]) ).
cnf(refute_0_1103,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_67)),multiply(X_185,X_67)) )],[refute_0_1099,refute_0_1102]) ).
cnf(refute_0_1104,plain,
( multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67))
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(X_185,X_67) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))))),bind(Y0,$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)))),bind(Z0,$fot(multiply(X_185,X_67)))]]) ).
cnf(refute_0_1105,plain,
( multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)) != multiply(X_185,X_67)
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(X_185,X_67) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67))) )],[refute_0_1103,refute_0_1104]) ).
cnf(refute_0_1106,plain,
multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) = multiply(X_185,X_67),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,X_67)),multiply(X_185,X_67)) )],[refute_0_1098,refute_0_1105]) ).
cnf(refute_0_1107,plain,
( multiply(X_67,X_185) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))) != multiply(X_185,X_67)
| multiply(X_67,X_185) = multiply(X_185,X_67) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_67,X_185),multiply(X_185,X_67)) ),[0],$fot(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))))]]) ).
cnf(refute_0_1108,plain,
( multiply(X_67,X_185) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(X_67,X_185) = multiply(X_185,X_67) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67))),multiply(X_185,X_67)) )],[refute_0_1106,refute_0_1107]) ).
cnf(refute_0_1109,plain,
( multiply(X_185,add(X_67,inverse(add(X_185,X_186)))) != multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))
| multiply(X_67,X_185) = multiply(X_185,X_67) ),
inference(resolve,[$cnf( $equal(multiply(X_67,X_185),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1075,refute_0_1108]) ).
cnf(refute_0_1110,plain,
multiply(X_67,X_185) = multiply(X_185,X_67),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_67,inverse(add(X_185,X_186)))),multiply(multiply(add(X_185,X_186),X_67),multiply(X_185,add(inverse(add(X_185,X_186)),X_67)))) )],[refute_0_1058,refute_0_1109]) ).
cnf(refute_0_1111,plain,
( multiply(X_67,X_185) != multiply(X_185,X_67)
| multiply(X_185,X_67) = multiply(X_67,X_185) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_67,X_185))),bind(Y0,$fot(multiply(X_185,X_67)))]]) ).
cnf(refute_0_1112,plain,
multiply(X_185,X_67) = multiply(X_67,X_185),
inference(resolve,[$cnf( $equal(multiply(X_67,X_185),multiply(X_185,X_67)) )],[refute_0_1110,refute_0_1111]) ).
cnf(refute_0_1113,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) = multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)),
inference(subst,[],[refute_0_1112:[bind(X_185,$fot(multiply(add(X_185,X_186),X_66))),bind(X_67,$fot(multiply(X_66,X_185)))]]) ).
cnf(refute_0_1114,plain,
( multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) != multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66))
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) = multiply(X_66,X_185) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)))),bind(Y0,$fot(multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)))),bind(Z0,$fot(multiply(X_66,X_185)))]]) ).
cnf(refute_0_1115,plain,
( multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) = multiply(X_66,X_185) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)),multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66))) )],[refute_0_1113,refute_0_1114]) ).
cnf(refute_0_1116,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) = multiply(X_66,X_185),
inference(resolve,[$cnf( $equal(multiply(multiply(X_66,X_185),multiply(add(X_185,X_186),X_66)),multiply(X_66,X_185)) )],[refute_0_1041,refute_0_1115]) ).
cnf(refute_0_1117,plain,
multiply(X_185,add(X_66,inverse(add(X_185,X_186)))) = multiply(X_66,X_185),
inference(subst,[],[refute_0_1072:[bind(X,$fot(X_185)),bind(Y,$fot(X_66)),bind(X_188,$fot(X_186))]]) ).
cnf(refute_0_1118,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),
introduced(tautology,[refl,[$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))))]]) ).
cnf(refute_0_1119,plain,
( multiply(X_185,add(X_66,inverse(add(X_185,X_186)))) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) ),[1,1],$fot(multiply(X_66,X_185))]]) ).
cnf(refute_0_1120,plain,
( multiply(X_185,add(X_66,inverse(add(X_185,X_186)))) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_1118,refute_0_1119]) ).
cnf(refute_0_1121,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)),
inference(resolve,[$cnf( $equal(multiply(X_185,add(X_66,inverse(add(X_185,X_186)))),multiply(X_66,X_185)) )],[refute_0_1117,refute_0_1120]) ).
cnf(refute_0_1122,plain,
( multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185))
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(X_66,X_185) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))))),bind(Y0,$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)))),bind(Z0,$fot(multiply(X_66,X_185)))]]) ).
cnf(refute_0_1123,plain,
( multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)) != multiply(X_66,X_185)
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(X_66,X_185) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185))) )],[refute_0_1121,refute_0_1122]) ).
cnf(refute_0_1124,plain,
multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) = multiply(X_66,X_185),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_66,X_185)),multiply(X_66,X_185)) )],[refute_0_1116,refute_0_1123]) ).
cnf(refute_0_1125,plain,
( multiply(X_185,X_66) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))) != multiply(X_66,X_185)
| multiply(X_185,X_66) = multiply(X_66,X_185) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_185,X_66),multiply(X_66,X_185)) ),[0],$fot(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))))]]) ).
cnf(refute_0_1126,plain,
( multiply(X_185,X_66) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(X_185,X_66) = multiply(X_66,X_185) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186))))),multiply(X_66,X_185)) )],[refute_0_1124,refute_0_1125]) ).
cnf(refute_0_1127,plain,
( multiply(X_185,add(inverse(add(X_185,X_186)),X_66)) != multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))
| multiply(X_185,X_66) = multiply(X_66,X_185) ),
inference(resolve,[$cnf( $equal(multiply(X_185,X_66),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_1038,refute_0_1126]) ).
cnf(refute_0_1128,plain,
multiply(X_185,X_66) = multiply(X_66,X_185),
inference(resolve,[$cnf( $equal(multiply(X_185,add(inverse(add(X_185,X_186)),X_66)),multiply(multiply(add(X_185,X_186),X_66),multiply(X_185,add(X_66,inverse(add(X_185,X_186)))))) )],[refute_0_1002,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( multiply(X_185,X_66) != multiply(X_66,X_185)
| multiply(X_66,X_185) = multiply(X_185,X_66) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_185,X_66))),bind(Y0,$fot(multiply(X_66,X_185)))]]) ).
cnf(refute_0_1130,plain,
multiply(X_66,X_185) = multiply(X_185,X_66),
inference(resolve,[$cnf( $equal(multiply(X_185,X_66),multiply(X_66,X_185)) )],[refute_0_1128,refute_0_1129]) ).
cnf(refute_0_1131,plain,
multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) = multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(inverse(inverse(X_259)))),bind(X_66,$fot(multiply(X_261,multiply(X_259,X_260))))]]) ).
cnf(refute_0_1132,plain,
( multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) != multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260)))
| multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) != multiply(X_261,multiply(X_259,X_260))
| multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) = multiply(X_261,multiply(X_259,X_260)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))))),bind(Y0,$fot(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))))),bind(Z0,$fot(multiply(X_261,multiply(X_259,X_260))))]]) ).
cnf(refute_0_1133,plain,
( multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))) != multiply(X_261,multiply(X_259,X_260))
| multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) = multiply(X_261,multiply(X_259,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))),multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260)))) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) = multiply(X_261,multiply(X_259,X_260)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),multiply(X_261,multiply(X_259,X_260))),multiply(X_261,multiply(X_259,X_260))) )],[refute_0_933,refute_0_1133]) ).
cnf(refute_0_1135,plain,
( multiply(multiply(X_261,X_260),X_259) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))) != multiply(X_261,multiply(X_259,X_260))
| multiply(multiply(X_261,X_260),X_259) = multiply(X_261,multiply(X_259,X_260)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_261,X_260),X_259),multiply(X_261,multiply(X_259,X_260))) ),[0],$fot(multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))))]]) ).
cnf(refute_0_1136,plain,
( multiply(multiply(X_261,X_260),X_259) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(multiply(X_261,X_260),X_259) = multiply(X_261,multiply(X_259,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259))),multiply(X_261,multiply(X_259,X_260))) )],[refute_0_1134,refute_0_1135]) ).
cnf(refute_0_1137,plain,
( multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))) != multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))
| multiply(multiply(X_261,X_260),X_259) = multiply(X_261,multiply(X_259,X_260)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_261,X_260),X_259),multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))) )],[refute_0_925,refute_0_1136]) ).
cnf(refute_0_1138,plain,
multiply(multiply(X_261,X_260),X_259) = multiply(X_261,multiply(X_259,X_260)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_259)),add(multiply(X_261,X_260),inverse(X_259))),multiply(multiply(X_261,multiply(X_259,X_260)),inverse(inverse(X_259)))) )],[refute_0_901,refute_0_1137]) ).
cnf(refute_0_1139,plain,
multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) = multiply(X_86,multiply(add(Y,Z),multiply(X,Y))),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(add(Y,Z))),bind(X_260,$fot(multiply(X,Y))),bind(X_261,$fot(X_86))]]) ).
cnf(refute_0_1140,plain,
( multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) != multiply(X_86,multiply(Y,X))
| multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) != multiply(X_86,multiply(add(Y,Z),multiply(X,Y)))
| multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) = multiply(X_86,multiply(Y,X)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))),bind(Y0,$fot(multiply(X_86,multiply(add(Y,Z),multiply(X,Y))))),bind(Z0,$fot(multiply(X_86,multiply(Y,X))))]]) ).
cnf(refute_0_1141,plain,
( multiply(X_86,multiply(add(Y,Z),multiply(X,Y))) != multiply(X_86,multiply(Y,X))
| multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) = multiply(X_86,multiply(Y,X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)),multiply(X_86,multiply(add(Y,Z),multiply(X,Y)))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) = multiply(X_86,multiply(Y,X)),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(add(Y,Z),multiply(X,Y))),multiply(X_86,multiply(Y,X))) )],[refute_0_883,refute_0_1141]) ).
cnf(refute_0_1143,plain,
multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))))]]) ).
cnf(refute_0_1144,plain,
( multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) != multiply(X_86,multiply(Y,X))
| multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) = multiply(X,multiply(X_86,multiply(Y,X))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))) ),[1,1],$fot(multiply(X_86,multiply(Y,X)))]]) ).
cnf(refute_0_1145,plain,
( multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)) != multiply(X_86,multiply(Y,X))
| multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) = multiply(X,multiply(X_86,multiply(Y,X))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))) )],[refute_0_1143,refute_0_1144]) ).
cnf(refute_0_1146,plain,
multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) = multiply(X,multiply(X_86,multiply(Y,X))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)),multiply(X_86,multiply(Y,X))) )],[refute_0_1142,refute_0_1145]) ).
cnf(refute_0_1147,plain,
multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),
inference(subst,[],[refute_0_862:[bind(X_260,$fot(add(Y,Z))),bind(X_261,$fot(multiply(X_86,multiply(X,Y)))),bind(X_65,$fot(X))]]) ).
cnf(refute_0_1148,plain,
multiply(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181),
inference(subst,[],[refute_0_806:[bind(X,$fot(multiply(X_10,X_81))),bind(Y,$fot(inverse(add(inverse(X_10),X_81)))),bind(X_177,$fot(X_181))]]) ).
cnf(refute_0_1149,plain,
add(inverse(add(inverse(X_10),X_81)),multiply(X_10,add(inverse(X_10),X_81))) = add(X_10,inverse(add(inverse(X_10),X_81))),
inference(subst,[],[refute_0_49:[bind(X_11,$fot(add(inverse(X_10),X_81)))]]) ).
cnf(refute_0_1150,plain,
multiply(X_10,add(inverse(X_10),X_81)) = multiply(X_10,X_81),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_10)),bind(X_67,$fot(X_81))]]) ).
cnf(refute_0_1151,plain,
( multiply(X_10,add(inverse(X_10),X_81)) != multiply(X_10,X_81)
| add(inverse(add(inverse(X_10),X_81)),multiply(X_10,add(inverse(X_10),X_81))) != add(X_10,inverse(add(inverse(X_10),X_81)))
| add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) = add(X_10,inverse(add(inverse(X_10),X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_10),X_81)),multiply(X_10,add(inverse(X_10),X_81))),add(X_10,inverse(add(inverse(X_10),X_81)))) ),[0,1],$fot(multiply(X_10,X_81))]]) ).
cnf(refute_0_1152,plain,
( add(inverse(add(inverse(X_10),X_81)),multiply(X_10,add(inverse(X_10),X_81))) != add(X_10,inverse(add(inverse(X_10),X_81)))
| add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) = add(X_10,inverse(add(inverse(X_10),X_81))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,add(inverse(X_10),X_81)),multiply(X_10,X_81)) )],[refute_0_1150,refute_0_1151]) ).
cnf(refute_0_1153,plain,
add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) = add(X_10,inverse(add(inverse(X_10),X_81))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_10),X_81)),multiply(X_10,add(inverse(X_10),X_81))),add(X_10,inverse(add(inverse(X_10),X_81)))) )],[refute_0_1149,refute_0_1152]) ).
cnf(refute_0_1154,plain,
add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) = add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),
inference(subst,[],[refute_0_506:[bind(X_13,$fot(X_81)),bind(X_59,$fot(inverse(add(inverse(X_10),X_81)))),bind(X_60,$fot(X_10))]]) ).
cnf(refute_0_1155,plain,
( add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) != add(X_10,inverse(add(inverse(X_10),X_81)))
| add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) != add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81)))
| add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))) = add(X_10,inverse(add(inverse(X_10),X_81))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)),add(X_10,inverse(add(inverse(X_10),X_81)))) ),[0],$fot(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))))]]) ).
cnf(refute_0_1156,plain,
( add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)) != add(X_10,inverse(add(inverse(X_10),X_81)))
| add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))) = add(X_10,inverse(add(inverse(X_10),X_81))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)),add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81)))) )],[refute_0_1154,refute_0_1155]) ).
cnf(refute_0_1157,plain,
add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))) = add(X_10,inverse(add(inverse(X_10),X_81))),
inference(resolve,[$cnf( $equal(add(inverse(add(inverse(X_10),X_81)),multiply(X_10,X_81)),add(X_10,inverse(add(inverse(X_10),X_81)))) )],[refute_0_1153,refute_0_1156]) ).
cnf(refute_0_1158,plain,
( multiply(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(multiply(X_10,X_81),X_181)
| add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))) != add(X_10,inverse(add(inverse(X_10),X_81)))
| multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(multiply(X_10,X_81),X_181)) ),[0,0],$fot(add(X_10,inverse(add(inverse(X_10),X_81))))]]) ).
cnf(refute_0_1159,plain,
( multiply(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(multiply(X_10,X_81),X_181)
| multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),add(X_10,inverse(add(inverse(X_10),X_81)))) )],[refute_0_1157,refute_0_1158]) ).
cnf(refute_0_1160,plain,
multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,X_81),inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(multiply(X_10,X_81),X_181)) )],[refute_0_1148,refute_0_1159]) ).
cnf(refute_0_1161,plain,
add(X_30,multiply(inverse(X_30),inverse(add(inverse(X_30),X_188)))) = add(X_30,inverse(add(inverse(X_30),X_188))),
inference(subst,[],[refute_0_627:[bind(X_32,$fot(inverse(add(inverse(X_30),X_188))))]]) ).
cnf(refute_0_1162,plain,
multiply(inverse(X_30),inverse(add(inverse(X_30),X_188))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(inverse(X_30))),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_1163,plain,
( multiply(inverse(X_30),inverse(add(inverse(X_30),X_188))) != additive_identity
| add(X_30,multiply(inverse(X_30),inverse(add(inverse(X_30),X_188)))) != add(X_30,inverse(add(inverse(X_30),X_188)))
| add(X_30,additive_identity) = add(X_30,inverse(add(inverse(X_30),X_188))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),inverse(add(inverse(X_30),X_188)))),add(X_30,inverse(add(inverse(X_30),X_188)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1164,plain,
( add(X_30,multiply(inverse(X_30),inverse(add(inverse(X_30),X_188)))) != add(X_30,inverse(add(inverse(X_30),X_188)))
| add(X_30,additive_identity) = add(X_30,inverse(add(inverse(X_30),X_188))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),inverse(add(inverse(X_30),X_188))),additive_identity) )],[refute_0_1162,refute_0_1163]) ).
cnf(refute_0_1165,plain,
add(X_30,additive_identity) = add(X_30,inverse(add(inverse(X_30),X_188))),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),inverse(add(inverse(X_30),X_188)))),add(X_30,inverse(add(inverse(X_30),X_188)))) )],[refute_0_1161,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( add(X_30,additive_identity) != X_30
| add(X_30,additive_identity) != add(X_30,inverse(add(inverse(X_30),X_188)))
| X_30 = add(X_30,inverse(add(inverse(X_30),X_188))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,additive_identity),add(X_30,inverse(add(inverse(X_30),X_188)))) ),[0],$fot(X_30)]]) ).
cnf(refute_0_1167,plain,
( add(X_30,additive_identity) != add(X_30,inverse(add(inverse(X_30),X_188)))
| X_30 = add(X_30,inverse(add(inverse(X_30),X_188))) ),
inference(resolve,[$cnf( $equal(add(X_30,additive_identity),X_30) )],[refute_0_267,refute_0_1166]) ).
cnf(refute_0_1168,plain,
X_30 = add(X_30,inverse(add(inverse(X_30),X_188))),
inference(resolve,[$cnf( $equal(add(X_30,additive_identity),add(X_30,inverse(add(inverse(X_30),X_188)))) )],[refute_0_1165,refute_0_1167]) ).
cnf(refute_0_1169,plain,
( X_30 != add(X_30,inverse(add(inverse(X_30),X_188)))
| add(X_30,inverse(add(inverse(X_30),X_188))) = X_30 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_30)),bind(Y0,$fot(add(X_30,inverse(add(inverse(X_30),X_188)))))]]) ).
cnf(refute_0_1170,plain,
add(X_30,inverse(add(inverse(X_30),X_188))) = X_30,
inference(resolve,[$cnf( $equal(X_30,add(X_30,inverse(add(inverse(X_30),X_188)))) )],[refute_0_1168,refute_0_1169]) ).
cnf(refute_0_1171,plain,
add(X_10,inverse(add(inverse(X_10),X_81))) = X_10,
inference(subst,[],[refute_0_1170:[bind(X_188,$fot(X_81)),bind(X_30,$fot(X_10))]]) ).
cnf(refute_0_1172,plain,
multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),
introduced(tautology,[refl,[$fot(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)))]]) ).
cnf(refute_0_1173,plain,
( multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181))
| add(X_10,inverse(add(inverse(X_10),X_81))) != X_10
| multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(X_10,multiply(multiply(X_10,X_81),X_181)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_1174,plain,
( add(X_10,inverse(add(inverse(X_10),X_81))) != X_10
| multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(X_10,multiply(multiply(X_10,X_81),X_181)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181))) )],[refute_0_1172,refute_0_1173]) ).
cnf(refute_0_1175,plain,
multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) = multiply(X_10,multiply(multiply(X_10,X_81),X_181)),
inference(resolve,[$cnf( $equal(add(X_10,inverse(add(inverse(X_10),X_81))),X_10) )],[refute_0_1171,refute_0_1174]) ).
cnf(refute_0_1176,plain,
( multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(X_10,multiply(multiply(X_10,X_81),X_181))
| multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(multiply(X_10,X_81),X_181)
| multiply(X_10,multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(multiply(X_10,X_81),X_181)) ),[0],$fot(multiply(X_10,multiply(multiply(X_10,X_81),X_181)))]]) ).
cnf(refute_0_1177,plain,
( multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)) != multiply(multiply(X_10,X_81),X_181)
| multiply(X_10,multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(X_10,multiply(multiply(X_10,X_81),X_181))) )],[refute_0_1175,refute_0_1176]) ).
cnf(refute_0_1178,plain,
multiply(X_10,multiply(multiply(X_10,X_81),X_181)) = multiply(multiply(X_10,X_81),X_181),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(add(inverse(X_10),X_81))),multiply(multiply(X_10,X_81),X_181)),multiply(multiply(X_10,X_81),X_181)) )],[refute_0_1160,refute_0_1177]) ).
cnf(refute_0_1179,plain,
multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) = multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))),
inference(subst,[],[refute_0_1178:[bind(X_10,$fot(X_86)),bind(X_181,$fot(multiply(X,add(Y,Z)))),bind(X_81,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_1180,plain,
( multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) != multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))))),bind(Y0,$fot(multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))))),bind(Z0,$fot(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))))]]) ).
cnf(refute_0_1181,plain,
( multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))),multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))),multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))) )],[refute_0_1147,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))),
inference(subst,[],[refute_0_862:[bind(X_260,$fot(multiply(X,add(Y,Z)))),bind(X_261,$fot(multiply(X_86,multiply(X,Y)))),bind(X_65,$fot(X_86))]]) ).
cnf(refute_0_1184,plain,
( multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) != multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))))),bind(Y0,$fot(multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))))),bind(Z0,$fot(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))))]]) ).
cnf(refute_0_1185,plain,
( multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))),multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z))))) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(multiply(X_86,multiply(X,Y)),multiply(X,add(Y,Z)))),multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))) )],[refute_0_1182,refute_0_1185]) ).
cnf(refute_0_1187,plain,
( multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) != multiply(X,multiply(X_86,multiply(Y,X)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) != multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(X_86,multiply(Y,X))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))))),bind(Y0,$fot(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))))),bind(Z0,$fot(multiply(X,multiply(X_86,multiply(Y,X)))))]]) ).
cnf(refute_0_1188,plain,
( multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))) != multiply(X,multiply(X_86,multiply(Y,X)))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(X_86,multiply(Y,X))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))),multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z)))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) = multiply(X,multiply(X_86,multiply(Y,X))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(X_86,multiply(X,Y)),add(Y,Z))),multiply(X,multiply(X_86,multiply(Y,X)))) )],[refute_0_1146,refute_0_1188]) ).
cnf(refute_0_1190,plain,
( multiply(X_86,multiply(X,Y)) != multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z))))
| multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))) != multiply(X,multiply(X_86,multiply(Y,X)))
| multiply(X_86,multiply(X,Y)) = multiply(X,multiply(X_86,multiply(Y,X))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_86,multiply(X,Y)),multiply(X,multiply(X_86,multiply(Y,X)))) ),[0],$fot(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))))]]) ).
cnf(refute_0_1191,plain,
( multiply(X_86,multiply(X,Y)) != multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z))))
| multiply(X_86,multiply(X,Y)) = multiply(X,multiply(X_86,multiply(Y,X))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z)))),multiply(X,multiply(X_86,multiply(Y,X)))) )],[refute_0_1189,refute_0_1190]) ).
cnf(refute_0_1192,plain,
multiply(X_86,multiply(X,Y)) = multiply(X,multiply(X_86,multiply(Y,X))),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X,Y)),multiply(multiply(X_86,multiply(X,Y)),multiply(X_86,multiply(X,add(Y,Z))))) )],[refute_0_871,refute_0_1191]) ).
cnf(refute_0_1193,plain,
( multiply(X_86,multiply(X,Y)) != multiply(X,multiply(X_86,multiply(Y,X)))
| multiply(X,multiply(X_86,multiply(Y,X))) = multiply(X_86,multiply(X,Y)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_86,multiply(X,Y)))),bind(Y0,$fot(multiply(X,multiply(X_86,multiply(Y,X)))))]]) ).
cnf(refute_0_1194,plain,
multiply(X,multiply(X_86,multiply(Y,X))) = multiply(X_86,multiply(X,Y)),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X,Y)),multiply(X,multiply(X_86,multiply(Y,X)))) )],[refute_0_1192,refute_0_1193]) ).
cnf(refute_0_1195,plain,
multiply(Z,multiply(add(X,Y),multiply(X_181,Z))) = multiply(add(X,Y),multiply(Z,X_181)),
inference(subst,[],[refute_0_1194:[bind(X,$fot(Z)),bind(Y,$fot(X_181)),bind(X_86,$fot(add(X,Y)))]]) ).
cnf(refute_0_1196,plain,
multiply(multiply(add(X,Y),Z),X_181) = multiply(add(X,Y),multiply(X_181,Z)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_181)),bind(X_260,$fot(Z)),bind(X_261,$fot(add(X,Y)))]]) ).
cnf(refute_0_1197,plain,
multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(Z,multiply(multiply(add(X,Y),Z),X_181)),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))]]) ).
cnf(refute_0_1198,plain,
( multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) != multiply(Z,multiply(multiply(add(X,Y),Z),X_181))
| multiply(multiply(add(X,Y),Z),X_181) != multiply(add(X,Y),multiply(X_181,Z))
| multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(Z,multiply(add(X,Y),multiply(X_181,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)),multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) ),[1,1],$fot(multiply(add(X,Y),multiply(X_181,Z)))]]) ).
cnf(refute_0_1199,plain,
( multiply(multiply(add(X,Y),Z),X_181) != multiply(add(X,Y),multiply(X_181,Z))
| multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(Z,multiply(add(X,Y),multiply(X_181,Z))) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)),multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) )],[refute_0_1197,refute_0_1198]) ).
cnf(refute_0_1200,plain,
multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(Z,multiply(add(X,Y),multiply(X_181,Z))),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,Y),Z),X_181),multiply(add(X,Y),multiply(X_181,Z))) )],[refute_0_1196,refute_0_1199]) ).
cnf(refute_0_1201,plain,
( multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) != multiply(Z,multiply(add(X,Y),multiply(X_181,Z)))
| multiply(Z,multiply(add(X,Y),multiply(X_181,Z))) != multiply(add(X,Y),multiply(Z,X_181))
| multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(add(X,Y),multiply(Z,X_181)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))),bind(Y0,$fot(multiply(Z,multiply(add(X,Y),multiply(X_181,Z))))),bind(Z0,$fot(multiply(add(X,Y),multiply(Z,X_181))))]]) ).
cnf(refute_0_1202,plain,
( multiply(Z,multiply(add(X,Y),multiply(X_181,Z))) != multiply(add(X,Y),multiply(Z,X_181))
| multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(add(X,Y),multiply(Z,X_181)) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)),multiply(Z,multiply(add(X,Y),multiply(X_181,Z)))) )],[refute_0_1200,refute_0_1201]) ).
cnf(refute_0_1203,plain,
multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) = multiply(add(X,Y),multiply(Z,X_181)),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(add(X,Y),multiply(X_181,Z))),multiply(add(X,Y),multiply(Z,X_181))) )],[refute_0_1195,refute_0_1202]) ).
cnf(refute_0_1204,plain,
multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))))]]) ).
cnf(refute_0_1205,plain,
( multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) != multiply(add(X,Y),multiply(Z,X_181))
| multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(add(X,Y),multiply(Z,X_181))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))) ),[1,1],$fot(multiply(add(X,Y),multiply(Z,X_181)))]]) ).
cnf(refute_0_1206,plain,
( multiply(Z,multiply(multiply(add(X,Y),Z),X_181)) != multiply(add(X,Y),multiply(Z,X_181))
| multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(add(X,Y),multiply(Z,X_181))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))) )],[refute_0_1204,refute_0_1205]) ).
cnf(refute_0_1207,plain,
multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(add(X,Y),multiply(Z,X_181))),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(multiply(add(X,Y),Z),X_181)),multiply(add(X,Y),multiply(Z,X_181))) )],[refute_0_1203,refute_0_1206]) ).
cnf(refute_0_1208,plain,
( multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) != multiply(X,multiply(add(X,Y),multiply(Z,X_181)))
| multiply(X,multiply(add(X,Y),multiply(Z,X_181))) != multiply(X,multiply(Z,X_181))
| multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(Z,X_181)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))))),bind(Y0,$fot(multiply(X,multiply(add(X,Y),multiply(Z,X_181))))),bind(Z0,$fot(multiply(X,multiply(Z,X_181))))]]) ).
cnf(refute_0_1209,plain,
( multiply(X,multiply(add(X,Y),multiply(Z,X_181))) != multiply(X,multiply(Z,X_181))
| multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(Z,X_181)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),multiply(X,multiply(add(X,Y),multiply(Z,X_181)))) )],[refute_0_1207,refute_0_1208]) ).
cnf(refute_0_1210,plain,
multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) = multiply(X,multiply(Z,X_181)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(add(X,Y),multiply(Z,X_181))),multiply(X,multiply(Z,X_181))) )],[refute_0_867,refute_0_1209]) ).
cnf(refute_0_1211,plain,
multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),
inference(subst,[],[refute_0_993:[bind(X_174,$fot(Z)),bind(X_175,$fot(multiply(multiply(add(X,Y),Z),X_181))),bind(X_65,$fot(X))]]) ).
cnf(refute_0_1212,plain,
multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) = multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(multiply(multiply(add(X,Y),Z),X_181))),bind(X_260,$fot(Z)),bind(X_261,$fot(X))]]) ).
cnf(refute_0_1213,plain,
( multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) != multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z))
| multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)))),bind(Y0,$fot(multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)))),bind(Z0,$fot(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))))]]) ).
cnf(refute_0_1214,plain,
( multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)),multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z))) )],[refute_0_1212,refute_0_1213]) ).
cnf(refute_0_1215,plain,
multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(multiply(add(X,Y),Z),X_181),Z)),multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))) )],[refute_0_1211,refute_0_1214]) ).
cnf(refute_0_1216,plain,
multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)),
inference(subst,[],[refute_0_862:[bind(X_260,$fot(X_181)),bind(X_261,$fot(multiply(add(X,Y),Z))),bind(X_65,$fot(multiply(X,Z)))]]) ).
cnf(refute_0_1217,plain,
( multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)))),bind(Y0,$fot(multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)))),bind(Z0,$fot(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))))]]) ).
cnf(refute_0_1218,plain,
( multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)),multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),multiply(multiply(add(X,Y),Z),X_181)),multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))) )],[refute_0_1215,refute_0_1218]) ).
cnf(refute_0_1220,plain,
( multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) != multiply(X,multiply(Z,X_181))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,X_181)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)))),bind(Y0,$fot(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))))),bind(Z0,$fot(multiply(X,multiply(Z,X_181))))]]) ).
cnf(refute_0_1221,plain,
( multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))) != multiply(X,multiply(Z,X_181))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,X_181)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)),multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181)))) )],[refute_0_1219,refute_0_1220]) ).
cnf(refute_0_1222,plain,
multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) = multiply(X,multiply(Z,X_181)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Z,multiply(multiply(add(X,Y),Z),X_181))),multiply(X,multiply(Z,X_181))) )],[refute_0_1210,refute_0_1221]) ).
cnf(refute_0_1223,plain,
( multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(X,multiply(Z,X_181))
| multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),X_181)
| multiply(X,multiply(Z,X_181)) = multiply(multiply(X,Z),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)),multiply(multiply(X,Z),X_181)) ),[0],$fot(multiply(X,multiply(Z,X_181)))]]) ).
cnf(refute_0_1224,plain,
( multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),X_181)
| multiply(X,multiply(Z,X_181)) = multiply(multiply(X,Z),X_181) ),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)),multiply(X,multiply(Z,X_181))) )],[refute_0_1222,refute_0_1223]) ).
cnf(refute_0_1225,plain,
multiply(multiply(X,Z),X_181) = multiply(X,multiply(X_181,Z)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_181)),bind(X_260,$fot(Z)),bind(X_261,$fot(X))]]) ).
cnf(refute_0_1226,plain,
( multiply(X,multiply(Z,X_181)) != multiply(multiply(X,Z),X_181)
| multiply(multiply(X,Z),X_181) != multiply(X,multiply(X_181,Z))
| multiply(X,multiply(Z,X_181)) = multiply(X,multiply(X_181,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X,multiply(Z,X_181)),multiply(X,multiply(X_181,Z))) ),[0],$fot(multiply(multiply(X,Z),X_181))]]) ).
cnf(refute_0_1227,plain,
( multiply(X,multiply(Z,X_181)) != multiply(multiply(X,Z),X_181)
| multiply(X,multiply(Z,X_181)) = multiply(X,multiply(X_181,Z)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),X_181),multiply(X,multiply(X_181,Z))) )],[refute_0_1225,refute_0_1226]) ).
cnf(refute_0_1228,plain,
( multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)) != multiply(multiply(X,Z),X_181)
| multiply(X,multiply(Z,X_181)) = multiply(X,multiply(X_181,Z)) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Z,X_181)),multiply(multiply(X,Z),X_181)) )],[refute_0_1224,refute_0_1227]) ).
cnf(refute_0_1229,plain,
multiply(X,multiply(Z,X_181)) = multiply(X,multiply(X_181,Z)),
inference(resolve,[$cnf( $equal(multiply(multiply(add(X,Y),Z),multiply(multiply(X,Z),X_181)),multiply(multiply(X,Z),X_181)) )],[refute_0_812,refute_0_1228]) ).
cnf(refute_0_1230,plain,
( multiply(X,multiply(Z,X_181)) != multiply(X,multiply(X_181,Z))
| multiply(X,multiply(X_181,Z)) = multiply(X,multiply(Z,X_181)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,multiply(Z,X_181)))),bind(Y0,$fot(multiply(X,multiply(X_181,Z))))]]) ).
cnf(refute_0_1231,plain,
multiply(X,multiply(X_181,Z)) = multiply(X,multiply(Z,X_181)),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Z,X_181)),multiply(X,multiply(X_181,Z))) )],[refute_0_1229,refute_0_1230]) ).
cnf(refute_0_1232,plain,
multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)) = multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),
inference(subst,[],[refute_0_1231:[bind(X,$fot(X_60)),bind(Z,$fot(X_61)),bind(X_181,$fot(multiply(add(X_59,X_60),X_61)))]]) ).
cnf(refute_0_1233,plain,
multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(multiply(add(X_59,X_60),X_61))),bind(X_260,$fot(X_61)),bind(X_261,$fot(X_60))]]) ).
cnf(refute_0_1234,plain,
( multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)) != multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) != multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)))),bind(Y0,$fot(multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)))),bind(Z0,$fot(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))))]]) ).
cnf(refute_0_1235,plain,
( multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)) != multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)),multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(multiply(add(X_59,X_60),X_61),X_61)),multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) != multiply(X_60,multiply(X_61,add(X_59,X_60)))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) != multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)))),bind(Y0,$fot(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))))),bind(Z0,$fot(multiply(X_60,multiply(X_61,add(X_59,X_60)))))]]) ).
cnf(refute_0_1238,plain,
( multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))) != multiply(X_60,multiply(X_61,add(X_59,X_60)))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)),multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61)))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) = multiply(X_60,multiply(X_61,add(X_59,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_60,multiply(X_61,multiply(add(X_59,X_60),X_61))),multiply(X_60,multiply(X_61,add(X_59,X_60)))) )],[refute_0_775,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( multiply(X_60,X_61) != multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))
| multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)) != multiply(X_60,multiply(X_61,add(X_59,X_60)))
| multiply(X_60,X_61) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_60,X_61),multiply(X_60,multiply(X_61,add(X_59,X_60)))) ),[0],$fot(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)))]]) ).
cnf(refute_0_1241,plain,
( multiply(X_60,X_61) != multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))
| multiply(X_60,X_61) = multiply(X_60,multiply(X_61,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61)),multiply(X_60,multiply(X_61,add(X_59,X_60)))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
multiply(X_60,X_61) = multiply(X_60,multiply(X_61,add(X_59,X_60))),
inference(resolve,[$cnf( $equal(multiply(X_60,X_61),multiply(multiply(X_60,X_61),multiply(add(X_59,X_60),X_61))) )],[refute_0_739,refute_0_1241]) ).
cnf(refute_0_1243,plain,
multiply(X_306,inverse(multiply(X_226,X_306))) = multiply(X_306,multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306))),
inference(subst,[],[refute_0_1242:[bind(X_59,$fot(inverse(X_226))),bind(X_60,$fot(X_306)),bind(X_61,$fot(inverse(multiply(X_226,X_306))))]]) ).
cnf(refute_0_1244,plain,
multiply(inverse(multiply(X_10,X_11)),add(inverse(X_10),multiply(X_10,X_11))) = multiply(inverse(X_10),inverse(multiply(X_10,X_11))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(inverse(X_10))),bind(X_60,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_1245,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_10),multiply(X_10,X_11))) != multiply(inverse(X_10),inverse(multiply(X_10,X_11)))
| add(inverse(X_10),multiply(X_10,X_11)) != add(X_11,inverse(X_10))
| multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = multiply(inverse(X_10),inverse(multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_10),multiply(X_10,X_11))),multiply(inverse(X_10),inverse(multiply(X_10,X_11)))) ),[0,1],$fot(add(X_11,inverse(X_10)))]]) ).
cnf(refute_0_1246,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_10),multiply(X_10,X_11))) != multiply(inverse(X_10),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = multiply(inverse(X_10),inverse(multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),add(X_11,inverse(X_10))) )],[refute_0_21,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = multiply(inverse(X_10),inverse(multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_10),multiply(X_10,X_11))),multiply(inverse(X_10),inverse(multiply(X_10,X_11)))) )],[refute_0_1244,refute_0_1246]) ).
cnf(refute_0_1248,plain,
multiply(inverse(X_59),add(X_59,inverse(multiply(X_59,X_131)))) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)),
inference(subst,[],[refute_0_896:[bind(X_60,$fot(inverse(multiply(X_59,X_131))))]]) ).
cnf(refute_0_1249,plain,
multiplicative_identity = add(inverse(multiply(X_10,X_129)),add(X_10,multiply(X_10,X_129))),
inference(subst,[],[refute_0_560:[bind(X_24,$fot(multiply(X_10,X_129)))]]) ).
cnf(refute_0_1250,plain,
add(X_10,multiply(X_10,X_129)) = X_10,
inference(subst,[],[refute_0_586:[bind(Y,$fot(X_10)),bind(Z,$fot(X_129))]]) ).
cnf(refute_0_1251,plain,
( add(X_10,multiply(X_10,X_129)) != X_10
| multiplicative_identity != add(inverse(multiply(X_10,X_129)),add(X_10,multiply(X_10,X_129)))
| multiplicative_identity = add(inverse(multiply(X_10,X_129)),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,X_129)),add(X_10,multiply(X_10,X_129)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_1252,plain,
( multiplicative_identity != add(inverse(multiply(X_10,X_129)),add(X_10,multiply(X_10,X_129)))
| multiplicative_identity = add(inverse(multiply(X_10,X_129)),X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_10,X_129)),X_10) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
multiplicative_identity = add(inverse(multiply(X_10,X_129)),X_10),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,X_129)),add(X_10,multiply(X_10,X_129)))) )],[refute_0_1249,refute_0_1252]) ).
cnf(refute_0_1254,plain,
add(X,multiply(Y,inverse(add(X,Y)))) = multiply(add(X,Y),add(X,inverse(add(X,Y)))),
inference(subst,[],[distributivity2:[bind(Z,$fot(inverse(add(X,Y))))]]) ).
cnf(refute_0_1255,plain,
multiply(add(X,Y),add(X,inverse(add(X,Y)))) = multiply(add(X,Y),X),
inference(subst,[],[refute_0_641:[bind(X_65,$fot(add(X,Y))),bind(X_66,$fot(X))]]) ).
cnf(refute_0_1256,plain,
( multiply(add(X,Y),add(X,inverse(add(X,Y)))) != multiply(add(X,Y),X)
| add(X,multiply(Y,inverse(add(X,Y)))) != multiply(add(X,Y),add(X,inverse(add(X,Y))))
| add(X,multiply(Y,inverse(add(X,Y)))) = multiply(add(X,Y),X) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,inverse(add(X,Y)))),multiply(add(X,Y),add(X,inverse(add(X,Y))))) ),[1],$fot(multiply(add(X,Y),X))]]) ).
cnf(refute_0_1257,plain,
( add(X,multiply(Y,inverse(add(X,Y)))) != multiply(add(X,Y),add(X,inverse(add(X,Y))))
| add(X,multiply(Y,inverse(add(X,Y)))) = multiply(add(X,Y),X) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,inverse(add(X,Y)))),multiply(add(X,Y),X)) )],[refute_0_1255,refute_0_1256]) ).
cnf(refute_0_1258,plain,
add(X,multiply(Y,inverse(add(X,Y)))) = multiply(add(X,Y),X),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,inverse(add(X,Y)))),multiply(add(X,Y),add(X,inverse(add(X,Y))))) )],[refute_0_1254,refute_0_1257]) ).
cnf(refute_0_1259,plain,
( multiply(add(X,Y),X) != X
| add(X,multiply(Y,inverse(add(X,Y)))) != multiply(add(X,Y),X)
| add(X,multiply(Y,inverse(add(X,Y)))) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,inverse(add(X,Y)))),multiply(add(X,Y),X)) ),[1],$fot(X)]]) ).
cnf(refute_0_1260,plain,
( add(X,multiply(Y,inverse(add(X,Y)))) != multiply(add(X,Y),X)
| add(X,multiply(Y,inverse(add(X,Y)))) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),X),X) )],[refute_0_419,refute_0_1259]) ).
cnf(refute_0_1261,plain,
add(X,multiply(Y,inverse(add(X,Y)))) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(Y,inverse(add(X,Y)))),multiply(add(X,Y),X)) )],[refute_0_1258,refute_0_1260]) ).
cnf(refute_0_1262,plain,
add(X_75,multiply(X_76,inverse(add(X_75,X_76)))) = X_75,
inference(subst,[],[refute_0_1261:[bind(X,$fot(X_75)),bind(Y,$fot(X_76))]]) ).
cnf(refute_0_1263,plain,
add(X_76,X_75) = add(X_75,X_76),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_76)),bind(Y,$fot(X_75))]]) ).
cnf(refute_0_1264,plain,
( add(X_76,X_75) != add(X_75,X_76)
| add(X_75,X_76) = add(X_76,X_75) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_76,X_75))),bind(Y0,$fot(add(X_75,X_76)))]]) ).
cnf(refute_0_1265,plain,
add(X_75,X_76) = add(X_76,X_75),
inference(resolve,[$cnf( $equal(add(X_76,X_75),add(X_75,X_76)) )],[refute_0_1263,refute_0_1264]) ).
cnf(refute_0_1266,plain,
( add(X_75,X_76) != add(X_76,X_75)
| add(X_75,multiply(X_76,inverse(add(X_75,X_76)))) != X_75
| add(X_75,multiply(X_76,inverse(add(X_76,X_75)))) = X_75 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_75,multiply(X_76,inverse(add(X_75,X_76)))),X_75) ),[0,1,1,0],$fot(add(X_76,X_75))]]) ).
cnf(refute_0_1267,plain,
( add(X_75,multiply(X_76,inverse(add(X_75,X_76)))) != X_75
| add(X_75,multiply(X_76,inverse(add(X_76,X_75)))) = X_75 ),
inference(resolve,[$cnf( $equal(add(X_75,X_76),add(X_76,X_75)) )],[refute_0_1265,refute_0_1266]) ).
cnf(refute_0_1268,plain,
add(X_75,multiply(X_76,inverse(add(X_76,X_75)))) = X_75,
inference(resolve,[$cnf( $equal(add(X_75,multiply(X_76,inverse(add(X_75,X_76)))),X_75) )],[refute_0_1262,refute_0_1267]) ).
cnf(refute_0_1269,plain,
add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,add(X_72,X_90))))) = add(X_72,X_90),
inference(subst,[],[refute_0_1268:[bind(X_75,$fot(add(X_72,X_90))),bind(X_76,$fot(X_90))]]) ).
cnf(refute_0_1270,plain,
add(X_90,X_72) = add(X_90,add(X_72,X_90)),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(X_90))]]) ).
cnf(refute_0_1271,plain,
( add(X_90,X_72) != add(X_90,add(X_72,X_90))
| add(X_90,add(X_72,X_90)) = add(X_90,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_90,X_72))),bind(Y0,$fot(add(X_90,add(X_72,X_90))))]]) ).
cnf(refute_0_1272,plain,
add(X_90,add(X_72,X_90)) = add(X_90,X_72),
inference(resolve,[$cnf( $equal(add(X_90,X_72),add(X_90,add(X_72,X_90))) )],[refute_0_1270,refute_0_1271]) ).
cnf(refute_0_1273,plain,
( add(X_90,add(X_72,X_90)) != add(X_90,X_72)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,add(X_72,X_90))))) != add(X_72,X_90)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_72,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,add(X_72,X_90))))),add(X_72,X_90)) ),[0,1,1,0],$fot(add(X_90,X_72))]]) ).
cnf(refute_0_1274,plain,
( add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,add(X_72,X_90))))) != add(X_72,X_90)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_72,X_90) ),
inference(resolve,[$cnf( $equal(add(X_90,add(X_72,X_90)),add(X_90,X_72)) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_72,X_90),
inference(resolve,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,add(X_72,X_90))))),add(X_72,X_90)) )],[refute_0_1269,refute_0_1274]) ).
cnf(refute_0_1276,plain,
add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) = multiply(add(X_10,add(X_103,X_104)),add(add(X_103,X_104),inverse(add(X_104,X_103)))),
inference(subst,[],[refute_0_215:[bind(X_11,$fot(inverse(add(X_104,X_103)))),bind(X_12,$fot(add(X_103,X_104)))]]) ).
cnf(refute_0_1277,plain,
multiplicative_identity = add(add(X_103,X_104),inverse(add(X_104,X_103))),
inference(subst,[],[refute_0_697:[bind(X_101,$fot(X_103)),bind(X_72,$fot(X_104))]]) ).
cnf(refute_0_1278,plain,
( multiplicative_identity != add(add(X_103,X_104),inverse(add(X_104,X_103)))
| add(add(X_103,X_104),inverse(add(X_104,X_103))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_103,X_104),inverse(add(X_104,X_103)))))]]) ).
cnf(refute_0_1279,plain,
add(add(X_103,X_104),inverse(add(X_104,X_103))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_103,X_104),inverse(add(X_104,X_103)))) )],[refute_0_1277,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != multiply(add(X_10,add(X_103,X_104)),add(add(X_103,X_104),inverse(add(X_104,X_103))))
| add(add(X_103,X_104),inverse(add(X_104,X_103))) != multiplicative_identity
| add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) = multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)),multiply(add(X_10,add(X_103,X_104)),add(add(X_103,X_104),inverse(add(X_104,X_103))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1281,plain,
( add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != multiply(add(X_10,add(X_103,X_104)),add(add(X_103,X_104),inverse(add(X_104,X_103))))
| add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) = multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(add(X_103,X_104),inverse(add(X_104,X_103))),multiplicative_identity) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) = multiply(add(X_10,add(X_103,X_104)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)),multiply(add(X_10,add(X_103,X_104)),add(add(X_103,X_104),inverse(add(X_104,X_103))))) )],[refute_0_1276,refute_0_1281]) ).
cnf(refute_0_1283,plain,
add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) = add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(inverse(add(X_104,X_103)))),bind(X_59,$fot(add(X_103,X_104))),bind(X_60,$fot(X_10))]]) ).
cnf(refute_0_1284,plain,
( add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)
| add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103))))
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)),multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)) ),[0],$fot(add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))))]]) ).
cnf(refute_0_1285,plain,
( add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)),add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103))))) )],[refute_0_1283,refute_0_1284]) ).
cnf(refute_0_1286,plain,
multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) = add(X_10,add(X_103,X_104)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,add(X_103,X_104))))]]) ).
cnf(refute_0_1287,plain,
( multiply(add(X_10,add(X_103,X_104)),multiplicative_identity) != add(X_10,add(X_103,X_104))
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) != multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = add(X_10,add(X_103,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))),multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)) ),[1],$fot(add(X_10,add(X_103,X_104)))]]) ).
cnf(refute_0_1288,plain,
( add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) != multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = add(X_10,add(X_103,X_104)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,add(X_103,X_104)),multiplicative_identity),add(X_10,add(X_103,X_104))) )],[refute_0_1286,refute_0_1287]) ).
cnf(refute_0_1289,plain,
( add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)) != multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)
| add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = add(X_10,add(X_103,X_104)) ),
inference(resolve,[$cnf( $equal(add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))),multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)) )],[refute_0_1285,refute_0_1288]) ).
cnf(refute_0_1290,plain,
add(add(X_103,X_104),multiply(X_10,inverse(add(X_104,X_103)))) = add(X_10,add(X_103,X_104)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_104,X_103))),add(X_103,X_104)),multiply(add(X_10,add(X_103,X_104)),multiplicative_identity)) )],[refute_0_1282,refute_0_1289]) ).
cnf(refute_0_1291,plain,
add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_90,add(X_72,X_90)),
inference(subst,[],[refute_0_1290:[bind(X_10,$fot(X_90)),bind(X_103,$fot(X_72)),bind(X_104,$fot(X_90))]]) ).
cnf(refute_0_1292,plain,
( add(X_90,add(X_72,X_90)) != add(X_90,X_72)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) != add(X_90,add(X_72,X_90))
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_90,X_72) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))))),bind(Y0,$fot(add(X_90,add(X_72,X_90)))),bind(Z0,$fot(add(X_90,X_72)))]]) ).
cnf(refute_0_1293,plain,
( add(X_90,add(X_72,X_90)) != add(X_90,X_72)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_90,X_72) ),
inference(resolve,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))),add(X_90,add(X_72,X_90))) )],[refute_0_1291,refute_0_1292]) ).
cnf(refute_0_1294,plain,
add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) = add(X_90,X_72),
inference(resolve,[$cnf( $equal(add(X_90,add(X_72,X_90)),add(X_90,X_72)) )],[refute_0_1272,refute_0_1293]) ).
cnf(refute_0_1295,plain,
( add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) != add(X_72,X_90)
| add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) != add(X_90,X_72)
| add(X_90,X_72) = add(X_72,X_90) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))),add(X_72,X_90)) ),[0],$fot(add(X_90,X_72))]]) ).
cnf(refute_0_1296,plain,
( add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))) != add(X_72,X_90)
| add(X_90,X_72) = add(X_72,X_90) ),
inference(resolve,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))),add(X_90,X_72)) )],[refute_0_1294,refute_0_1295]) ).
cnf(refute_0_1297,plain,
add(X_90,X_72) = add(X_72,X_90),
inference(resolve,[$cnf( $equal(add(add(X_72,X_90),multiply(X_90,inverse(add(X_90,X_72)))),add(X_72,X_90)) )],[refute_0_1275,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( add(X_90,X_72) != add(X_72,X_90)
| add(X_72,X_90) = add(X_90,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_90,X_72))),bind(Y0,$fot(add(X_72,X_90)))]]) ).
cnf(refute_0_1299,plain,
add(X_72,X_90) = add(X_90,X_72),
inference(resolve,[$cnf( $equal(add(X_90,X_72),add(X_72,X_90)) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
add(inverse(multiply(X_10,X_129)),X_10) = add(X_10,inverse(multiply(X_10,X_129))),
inference(subst,[],[refute_0_1299:[bind(X_72,$fot(inverse(multiply(X_10,X_129)))),bind(X_90,$fot(X_10))]]) ).
cnf(refute_0_1301,plain,
( add(inverse(multiply(X_10,X_129)),X_10) != add(X_10,inverse(multiply(X_10,X_129)))
| multiplicative_identity != add(inverse(multiply(X_10,X_129)),X_10)
| multiplicative_identity = add(X_10,inverse(multiply(X_10,X_129))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,X_129)),X_10)) ),[1],$fot(add(X_10,inverse(multiply(X_10,X_129))))]]) ).
cnf(refute_0_1302,plain,
( multiplicative_identity != add(inverse(multiply(X_10,X_129)),X_10)
| multiplicative_identity = add(X_10,inverse(multiply(X_10,X_129))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,X_129)),X_10),add(X_10,inverse(multiply(X_10,X_129)))) )],[refute_0_1300,refute_0_1301]) ).
cnf(refute_0_1303,plain,
multiplicative_identity = add(X_10,inverse(multiply(X_10,X_129))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_10,X_129)),X_10)) )],[refute_0_1253,refute_0_1302]) ).
cnf(refute_0_1304,plain,
multiplicative_identity = add(X_59,inverse(multiply(X_59,X_131))),
inference(subst,[],[refute_0_1303:[bind(X_10,$fot(X_59)),bind(X_129,$fot(X_131))]]) ).
cnf(refute_0_1305,plain,
( multiplicative_identity != add(X_59,inverse(multiply(X_59,X_131)))
| add(X_59,inverse(multiply(X_59,X_131))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_59,inverse(multiply(X_59,X_131)))))]]) ).
cnf(refute_0_1306,plain,
add(X_59,inverse(multiply(X_59,X_131))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_59,inverse(multiply(X_59,X_131)))) )],[refute_0_1304,refute_0_1305]) ).
cnf(refute_0_1307,plain,
( multiply(inverse(X_59),add(X_59,inverse(multiply(X_59,X_131)))) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| add(X_59,inverse(multiply(X_59,X_131))) != multiplicative_identity
| multiply(inverse(X_59),multiplicative_identity) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_59),add(X_59,inverse(multiply(X_59,X_131)))),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1308,plain,
( multiply(inverse(X_59),add(X_59,inverse(multiply(X_59,X_131)))) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| multiply(inverse(X_59),multiplicative_identity) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) ),
inference(resolve,[$cnf( $equal(add(X_59,inverse(multiply(X_59,X_131))),multiplicative_identity) )],[refute_0_1306,refute_0_1307]) ).
cnf(refute_0_1309,plain,
multiply(inverse(X_59),multiplicative_identity) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),add(X_59,inverse(multiply(X_59,X_131)))),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) )],[refute_0_1248,refute_0_1308]) ).
cnf(refute_0_1310,plain,
multiply(inverse(X_59),multiplicative_identity) = inverse(X_59),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(X_59)))]]) ).
cnf(refute_0_1311,plain,
( multiply(inverse(X_59),multiplicative_identity) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| multiply(inverse(X_59),multiplicative_identity) != inverse(X_59)
| inverse(X_59) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_59),multiplicative_identity),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) ),[0],$fot(inverse(X_59))]]) ).
cnf(refute_0_1312,plain,
( multiply(inverse(X_59),multiplicative_identity) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| inverse(X_59) = multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),multiplicative_identity),inverse(X_59)) )],[refute_0_1310,refute_0_1311]) ).
cnf(refute_0_1313,plain,
multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) = multiply(inverse(X_59),inverse(multiply(X_59,X_131))),
inference(subst,[],[refute_0_134:[bind(X,$fot(inverse(X_59))),bind(Y,$fot(inverse(multiply(X_59,X_131))))]]) ).
cnf(refute_0_1314,plain,
( multiply(inverse(multiply(X_59,X_131)),inverse(X_59)) != multiply(inverse(X_59),inverse(multiply(X_59,X_131)))
| inverse(X_59) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| inverse(X_59) = multiply(inverse(X_59),inverse(multiply(X_59,X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) ),[1],$fot(multiply(inverse(X_59),inverse(multiply(X_59,X_131))))]]) ).
cnf(refute_0_1315,plain,
( inverse(X_59) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| inverse(X_59) = multiply(inverse(X_59),inverse(multiply(X_59,X_131))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_59,X_131)),inverse(X_59)),multiply(inverse(X_59),inverse(multiply(X_59,X_131)))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
( multiply(inverse(X_59),multiplicative_identity) != multiply(inverse(multiply(X_59,X_131)),inverse(X_59))
| inverse(X_59) = multiply(inverse(X_59),inverse(multiply(X_59,X_131))) ),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
inverse(X_59) = multiply(inverse(X_59),inverse(multiply(X_59,X_131))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_59),multiplicative_identity),multiply(inverse(multiply(X_59,X_131)),inverse(X_59))) )],[refute_0_1309,refute_0_1316]) ).
cnf(refute_0_1318,plain,
( inverse(X_59) != multiply(inverse(X_59),inverse(multiply(X_59,X_131)))
| multiply(inverse(X_59),inverse(multiply(X_59,X_131))) = inverse(X_59) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_59))),bind(Y0,$fot(multiply(inverse(X_59),inverse(multiply(X_59,X_131)))))]]) ).
cnf(refute_0_1319,plain,
multiply(inverse(X_59),inverse(multiply(X_59,X_131))) = inverse(X_59),
inference(resolve,[$cnf( $equal(inverse(X_59),multiply(inverse(X_59),inverse(multiply(X_59,X_131)))) )],[refute_0_1317,refute_0_1318]) ).
cnf(refute_0_1320,plain,
multiply(inverse(X_10),inverse(multiply(X_10,X_11))) = inverse(X_10),
inference(subst,[],[refute_0_1319:[bind(X_131,$fot(X_11)),bind(X_59,$fot(X_10))]]) ).
cnf(refute_0_1321,plain,
( multiply(inverse(X_10),inverse(multiply(X_10,X_11))) != inverse(X_10)
| multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) != multiply(inverse(X_10),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = inverse(X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))),multiply(inverse(X_10),inverse(multiply(X_10,X_11)))) ),[1],$fot(inverse(X_10))]]) ).
cnf(refute_0_1322,plain,
( multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) != multiply(inverse(X_10),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_10,X_11))),inverse(X_10)) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))) = inverse(X_10),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(X_11,inverse(X_10))),multiply(inverse(X_10),inverse(multiply(X_10,X_11)))) )],[refute_0_1247,refute_0_1322]) ).
cnf(refute_0_1324,plain,
multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) = inverse(X_226),
inference(subst,[],[refute_0_1323:[bind(X_10,$fot(X_226)),bind(X_11,$fot(X_227))]]) ).
cnf(refute_0_1325,plain,
add(inverse(X_226),X_227) = add(X_227,inverse(X_226)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(inverse(X_226))),bind(Y,$fot(X_227))]]) ).
cnf(refute_0_1326,plain,
( add(inverse(X_226),X_227) != add(X_227,inverse(X_226))
| add(X_227,inverse(X_226)) = add(inverse(X_226),X_227) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(X_226),X_227))),bind(Y0,$fot(add(X_227,inverse(X_226))))]]) ).
cnf(refute_0_1327,plain,
add(X_227,inverse(X_226)) = add(inverse(X_226),X_227),
inference(resolve,[$cnf( $equal(add(inverse(X_226),X_227),add(X_227,inverse(X_226))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) != inverse(X_226)
| add(X_227,inverse(X_226)) != add(inverse(X_226),X_227)
| multiply(inverse(multiply(X_226,X_227)),add(inverse(X_226),X_227)) = inverse(X_226) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))),inverse(X_226)) ),[0,1],$fot(add(inverse(X_226),X_227))]]) ).
cnf(refute_0_1329,plain,
( multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) != inverse(X_226)
| multiply(inverse(multiply(X_226,X_227)),add(inverse(X_226),X_227)) = inverse(X_226) ),
inference(resolve,[$cnf( $equal(add(X_227,inverse(X_226)),add(inverse(X_226),X_227)) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
multiply(inverse(multiply(X_226,X_227)),add(inverse(X_226),X_227)) = inverse(X_226),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))),inverse(X_226)) )],[refute_0_1324,refute_0_1329]) ).
cnf(refute_0_1331,plain,
multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)) = inverse(X_226),
inference(subst,[],[refute_0_1330:[bind(X_227,$fot(X_306))]]) ).
cnf(refute_0_1332,plain,
( multiply(X_306,inverse(multiply(X_226,X_306))) != multiply(X_306,multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)))
| multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)) != inverse(X_226)
| multiply(X_306,inverse(multiply(X_226,X_306))) = multiply(X_306,inverse(X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_306,inverse(multiply(X_226,X_306))),multiply(X_306,multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)))) ),[1,1],$fot(inverse(X_226))]]) ).
cnf(refute_0_1333,plain,
( multiply(X_306,inverse(multiply(X_226,X_306))) != multiply(X_306,multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)))
| multiply(X_306,inverse(multiply(X_226,X_306))) = multiply(X_306,inverse(X_226)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)),inverse(X_226)) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
multiply(X_306,inverse(multiply(X_226,X_306))) = multiply(X_306,inverse(X_226)),
inference(resolve,[$cnf( $equal(multiply(X_306,inverse(multiply(X_226,X_306))),multiply(X_306,multiply(inverse(multiply(X_226,X_306)),add(inverse(X_226),X_306)))) )],[refute_0_1243,refute_0_1333]) ).
cnf(refute_0_1335,plain,
multiply(inverse(add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))),
inference(subst,[],[refute_0_896:[bind(X_59,$fot(add(X_101,X_32))),bind(X_60,$fot(inverse(multiply(inverse(X_101),X_32))))]]) ).
cnf(refute_0_1336,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_101),X_32)),add(X_101,multiply(inverse(X_101),X_32))),
inference(subst,[],[refute_0_560:[bind(X_10,$fot(X_101)),bind(X_24,$fot(multiply(inverse(X_101),X_32)))]]) ).
cnf(refute_0_1337,plain,
add(X_101,multiply(inverse(X_101),X_32)) = add(X_101,X_32),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(X_101))]]) ).
cnf(refute_0_1338,plain,
( add(X_101,multiply(inverse(X_101),X_32)) != add(X_101,X_32)
| multiplicative_identity != add(inverse(multiply(inverse(X_101),X_32)),add(X_101,multiply(inverse(X_101),X_32)))
| multiplicative_identity = add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_101),X_32)),add(X_101,multiply(inverse(X_101),X_32)))) ),[1,1],$fot(add(X_101,X_32))]]) ).
cnf(refute_0_1339,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_101),X_32)),add(X_101,multiply(inverse(X_101),X_32)))
| multiplicative_identity = add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)) ),
inference(resolve,[$cnf( $equal(add(X_101,multiply(inverse(X_101),X_32)),add(X_101,X_32)) )],[refute_0_1337,refute_0_1338]) ).
cnf(refute_0_1340,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_101),X_32)),add(X_101,multiply(inverse(X_101),X_32)))) )],[refute_0_1336,refute_0_1339]) ).
cnf(refute_0_1341,plain,
add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)) = add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))),
inference(subst,[],[refute_0_224:[bind(X_57,$fot(inverse(multiply(inverse(X_101),X_32)))),bind(X_58,$fot(add(X_101,X_32)))]]) ).
cnf(refute_0_1342,plain,
( add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)) != add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))
| multiplicative_identity != add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32))
| multiplicative_identity = add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32))) ),[1],$fot(add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))))]]) ).
cnf(refute_0_1343,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32))
| multiplicative_identity = add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
multiplicative_identity = add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_101),X_32)),add(X_101,X_32))) )],[refute_0_1340,refute_0_1343]) ).
cnf(refute_0_1345,plain,
( multiplicative_identity != add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))
| add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))))]]) ).
cnf(refute_0_1346,plain,
add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))) )],[refute_0_1344,refute_0_1345]) ).
cnf(refute_0_1347,plain,
( multiply(inverse(add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))) != multiplicative_identity
| multiply(inverse(add(X_101,X_32)),multiplicative_identity) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1348,plain,
( multiply(inverse(add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| multiply(inverse(add(X_101,X_32)),multiplicative_identity) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) ),
inference(resolve,[$cnf( $equal(add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32))),multiplicative_identity) )],[refute_0_1346,refute_0_1347]) ).
cnf(refute_0_1349,plain,
multiply(inverse(add(X_101,X_32)),multiplicative_identity) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_32)),add(add(X_101,X_32),inverse(multiply(inverse(X_101),X_32)))),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) )],[refute_0_1335,refute_0_1348]) ).
cnf(refute_0_1350,plain,
multiply(inverse(add(X_101,X_32)),multiplicative_identity) = inverse(add(X_101,X_32)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(add(X_101,X_32))))]]) ).
cnf(refute_0_1351,plain,
( multiply(inverse(add(X_101,X_32)),multiplicative_identity) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| multiply(inverse(add(X_101,X_32)),multiplicative_identity) != inverse(add(X_101,X_32))
| inverse(add(X_101,X_32)) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_101,X_32)),multiplicative_identity),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) ),[0],$fot(inverse(add(X_101,X_32)))]]) ).
cnf(refute_0_1352,plain,
( multiply(inverse(add(X_101,X_32)),multiplicative_identity) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| inverse(add(X_101,X_32)) = multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_32)),multiplicative_identity),inverse(add(X_101,X_32))) )],[refute_0_1350,refute_0_1351]) ).
cnf(refute_0_1353,plain,
multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) = multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))),
inference(subst,[],[refute_0_134:[bind(X,$fot(inverse(add(X_101,X_32)))),bind(Y,$fot(inverse(multiply(inverse(X_101),X_32))))]]) ).
cnf(refute_0_1354,plain,
( multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))) != multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32)))
| inverse(add(X_101,X_32)) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| inverse(add(X_101,X_32)) = multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_101,X_32)),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) ),[1],$fot(multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))))]]) ).
cnf(refute_0_1355,plain,
( inverse(add(X_101,X_32)) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| inverse(add(X_101,X_32)) = multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32))),multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32)))) )],[refute_0_1353,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( multiply(inverse(add(X_101,X_32)),multiplicative_identity) != multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))
| inverse(add(X_101,X_32)) = multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))) ),
inference(resolve,[$cnf( $equal(inverse(add(X_101,X_32)),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) )],[refute_0_1352,refute_0_1355]) ).
cnf(refute_0_1357,plain,
inverse(add(X_101,X_32)) = multiply(inverse(add(X_101,X_32)),inverse(multiply(inverse(X_101),X_32))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_32)),multiplicative_identity),multiply(inverse(multiply(inverse(X_101),X_32)),inverse(add(X_101,X_32)))) )],[refute_0_1349,refute_0_1356]) ).
cnf(refute_0_1358,plain,
inverse(add(inverse(X_40),X_203)) = multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(inverse(inverse(X_40)),X_203))),
inference(subst,[],[refute_0_1357:[bind(X_101,$fot(inverse(X_40))),bind(X_32,$fot(X_203))]]) ).
cnf(refute_0_1359,plain,
( inverse(add(inverse(X_40),X_203)) != multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(inverse(inverse(X_40)),X_203)))
| inverse(inverse(X_40)) != X_40
| inverse(add(inverse(X_40),X_203)) = multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_40),X_203)),multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(inverse(inverse(X_40)),X_203)))) ),[1,1,0,0],$fot(X_40)]]) ).
cnf(refute_0_1360,plain,
( inverse(add(inverse(X_40),X_203)) != multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(inverse(inverse(X_40)),X_203)))
| inverse(add(inverse(X_40),X_203)) = multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_40)),X_40) )],[refute_0_674,refute_0_1359]) ).
cnf(refute_0_1361,plain,
inverse(add(inverse(X_40),X_203)) = multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_40),X_203)),multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(inverse(inverse(X_40)),X_203)))) )],[refute_0_1358,refute_0_1360]) ).
cnf(refute_0_1362,plain,
multiply(inverse(multiply(X_152,X_153)),add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153)))) = multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))),
inference(subst,[],[refute_0_896:[bind(X_59,$fot(multiply(X_152,X_153))),bind(X_60,$fot(inverse(add(inverse(X_152),X_153))))]]) ).
cnf(refute_0_1363,plain,
add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153))) = add(X_152,inverse(add(inverse(X_152),X_153))),
inference(subst,[],[refute_0_1157:[bind(X_10,$fot(X_152)),bind(X_81,$fot(X_153))]]) ).
cnf(refute_0_1364,plain,
( multiply(inverse(multiply(X_152,X_153)),add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153)))) != multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))
| add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153))) != add(X_152,inverse(add(inverse(X_152),X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153)))),multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))) ),[0,1],$fot(add(X_152,inverse(add(inverse(X_152),X_153))))]]) ).
cnf(refute_0_1365,plain,
( multiply(inverse(multiply(X_152,X_153)),add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153)))) != multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153))),add(X_152,inverse(add(inverse(X_152),X_153)))) )],[refute_0_1363,refute_0_1364]) ).
cnf(refute_0_1366,plain,
multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(multiply(X_152,X_153),inverse(add(inverse(X_152),X_153)))),multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))) )],[refute_0_1362,refute_0_1365]) ).
cnf(refute_0_1367,plain,
multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))),
inference(subst,[],[refute_0_134:[bind(X,$fot(inverse(multiply(X_152,X_153)))),bind(Y,$fot(inverse(add(inverse(X_152),X_153))))]]) ).
cnf(refute_0_1368,plain,
( multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))
| multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))) != multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))) ),[0],$fot(multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))))]]) ).
cnf(refute_0_1369,plain,
( multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153))),multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))) )],[refute_0_1367,refute_0_1368]) ).
cnf(refute_0_1370,plain,
multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(add(inverse(X_152),X_153)),inverse(multiply(X_152,X_153)))) )],[refute_0_1366,refute_0_1369]) ).
cnf(refute_0_1371,plain,
multiply(inverse(multiply(X_152,X_153)),X_152) = multiply(X_152,inverse(multiply(X_152,X_153))),
inference(subst,[],[refute_0_1019:[bind(X_59,$fot(multiply(X_152,X_153))),bind(X_60,$fot(X_152))]]) ).
cnf(refute_0_1372,plain,
add(X_152,inverse(add(inverse(X_152),X_153))) = X_152,
inference(subst,[],[refute_0_1170:[bind(X_188,$fot(X_153)),bind(X_30,$fot(X_152))]]) ).
cnf(refute_0_1373,plain,
multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))))]]) ).
cnf(refute_0_1374,plain,
( multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153))))
| add(X_152,inverse(add(inverse(X_152),X_153))) != X_152
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),X_152) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153))))) ),[1,1],$fot(X_152)]]) ).
cnf(refute_0_1375,plain,
( add(X_152,inverse(add(inverse(X_152),X_153))) != X_152
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),X_152) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153))))) )],[refute_0_1373,refute_0_1374]) ).
cnf(refute_0_1376,plain,
multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(inverse(multiply(X_152,X_153)),X_152),
inference(resolve,[$cnf( $equal(add(X_152,inverse(add(inverse(X_152),X_153))),X_152) )],[refute_0_1372,refute_0_1375]) ).
cnf(refute_0_1377,plain,
( multiply(inverse(multiply(X_152,X_153)),X_152) != multiply(X_152,inverse(multiply(X_152,X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(multiply(X_152,X_153)),X_152)
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(X_152,inverse(multiply(X_152,X_153))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))))),bind(Y0,$fot(multiply(inverse(multiply(X_152,X_153)),X_152))),bind(Z0,$fot(multiply(X_152,inverse(multiply(X_152,X_153)))))]]) ).
cnf(refute_0_1378,plain,
( multiply(inverse(multiply(X_152,X_153)),X_152) != multiply(X_152,inverse(multiply(X_152,X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(X_152,inverse(multiply(X_152,X_153))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),X_152)) )],[refute_0_1376,refute_0_1377]) ).
cnf(refute_0_1379,plain,
multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) = multiply(X_152,inverse(multiply(X_152,X_153))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),X_152),multiply(X_152,inverse(multiply(X_152,X_153)))) )],[refute_0_1371,refute_0_1378]) ).
cnf(refute_0_1380,plain,
( multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(X_152,inverse(multiply(X_152,X_153)))
| multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))
| multiply(X_152,inverse(multiply(X_152,X_153))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))) ),[0],$fot(multiply(X_152,inverse(multiply(X_152,X_153))))]]) ).
cnf(refute_0_1381,plain,
( multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))) != multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))
| multiply(X_152,inverse(multiply(X_152,X_153))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(X_152,inverse(multiply(X_152,X_153)))) )],[refute_0_1379,refute_0_1380]) ).
cnf(refute_0_1382,plain,
multiply(X_152,inverse(multiply(X_152,X_153))) = multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_152,X_153)),add(X_152,inverse(add(inverse(X_152),X_153)))),multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))) )],[refute_0_1370,refute_0_1381]) ).
cnf(refute_0_1383,plain,
( multiply(X_152,inverse(multiply(X_152,X_153))) != multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))
| multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) = multiply(X_152,inverse(multiply(X_152,X_153))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_152,inverse(multiply(X_152,X_153))))),bind(Y0,$fot(multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))))]]) ).
cnf(refute_0_1384,plain,
multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153))) = multiply(X_152,inverse(multiply(X_152,X_153))),
inference(resolve,[$cnf( $equal(multiply(X_152,inverse(multiply(X_152,X_153))),multiply(inverse(multiply(X_152,X_153)),inverse(add(inverse(X_152),X_153)))) )],[refute_0_1382,refute_0_1383]) ).
cnf(refute_0_1385,plain,
multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))) = multiply(X_40,inverse(multiply(X_40,X_203))),
inference(subst,[],[refute_0_1384:[bind(X_152,$fot(X_40)),bind(X_153,$fot(X_203))]]) ).
cnf(refute_0_1386,plain,
multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) = multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(inverse(multiply(X_40,X_203)))),bind(X_66,$fot(inverse(add(inverse(X_40),X_203))))]]) ).
cnf(refute_0_1387,plain,
( multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))) != multiply(X_40,inverse(multiply(X_40,X_203)))
| multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) != multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203)))
| multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) = multiply(X_40,inverse(multiply(X_40,X_203))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))))),bind(Y0,$fot(multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))))),bind(Z0,$fot(multiply(X_40,inverse(multiply(X_40,X_203)))))]]) ).
cnf(refute_0_1388,plain,
( multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))) != multiply(X_40,inverse(multiply(X_40,X_203)))
| multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) = multiply(X_40,inverse(multiply(X_40,X_203))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))),multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203)))) )],[refute_0_1386,refute_0_1387]) ).
cnf(refute_0_1389,plain,
multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) = multiply(X_40,inverse(multiply(X_40,X_203))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_40,X_203)),inverse(add(inverse(X_40),X_203))),multiply(X_40,inverse(multiply(X_40,X_203)))) )],[refute_0_1385,refute_0_1388]) ).
cnf(refute_0_1390,plain,
( multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))) != multiply(X_40,inverse(multiply(X_40,X_203)))
| inverse(add(inverse(X_40),X_203)) != multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203)))
| inverse(add(inverse(X_40),X_203)) = multiply(X_40,inverse(multiply(X_40,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_40),X_203)),multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203)))) ),[1],$fot(multiply(X_40,inverse(multiply(X_40,X_203))))]]) ).
cnf(refute_0_1391,plain,
( inverse(add(inverse(X_40),X_203)) != multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203)))
| inverse(add(inverse(X_40),X_203)) = multiply(X_40,inverse(multiply(X_40,X_203))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203))),multiply(X_40,inverse(multiply(X_40,X_203)))) )],[refute_0_1389,refute_0_1390]) ).
cnf(refute_0_1392,plain,
inverse(add(inverse(X_40),X_203)) = multiply(X_40,inverse(multiply(X_40,X_203))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_40),X_203)),multiply(inverse(add(inverse(X_40),X_203)),inverse(multiply(X_40,X_203)))) )],[refute_0_1361,refute_0_1391]) ).
cnf(refute_0_1393,plain,
inverse(add(inverse(X_237),X_236)) = multiply(X_237,inverse(multiply(X_237,X_236))),
inference(subst,[],[refute_0_1392:[bind(X_203,$fot(X_236)),bind(X_40,$fot(X_237))]]) ).
cnf(refute_0_1394,plain,
multiply(X_236,X_237) = multiply(X_237,X_236),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_236)),bind(Y,$fot(X_237))]]) ).
cnf(refute_0_1395,plain,
( multiply(X_236,X_237) != multiply(X_237,X_236)
| multiply(X_237,X_236) = multiply(X_236,X_237) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_236,X_237))),bind(Y0,$fot(multiply(X_237,X_236)))]]) ).
cnf(refute_0_1396,plain,
multiply(X_237,X_236) = multiply(X_236,X_237),
inference(resolve,[$cnf( $equal(multiply(X_236,X_237),multiply(X_237,X_236)) )],[refute_0_1394,refute_0_1395]) ).
cnf(refute_0_1397,plain,
( multiply(X_237,X_236) != multiply(X_236,X_237)
| inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(inverse(X_237),X_236)) = multiply(X_237,inverse(multiply(X_236,X_237))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(multiply(X_237,X_236)))) ),[1,1,0],$fot(multiply(X_236,X_237))]]) ).
cnf(refute_0_1398,plain,
( inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(inverse(X_237),X_236)) = multiply(X_237,inverse(multiply(X_236,X_237))) ),
inference(resolve,[$cnf( $equal(multiply(X_237,X_236),multiply(X_236,X_237)) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
inverse(add(inverse(X_237),X_236)) = multiply(X_237,inverse(multiply(X_236,X_237))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(multiply(X_237,X_236)))) )],[refute_0_1393,refute_0_1398]) ).
cnf(refute_0_1400,plain,
( inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(multiply(X_236,X_237)))
| multiply(X_237,inverse(multiply(X_236,X_237))) = inverse(add(inverse(X_237),X_236)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(inverse(X_237),X_236)))),bind(Y0,$fot(multiply(X_237,inverse(multiply(X_236,X_237)))))]]) ).
cnf(refute_0_1401,plain,
multiply(X_237,inverse(multiply(X_236,X_237))) = inverse(add(inverse(X_237),X_236)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(multiply(X_236,X_237)))) )],[refute_0_1399,refute_0_1400]) ).
cnf(refute_0_1402,plain,
multiply(X_306,inverse(multiply(X_226,X_306))) = inverse(add(inverse(X_306),X_226)),
inference(subst,[],[refute_0_1401:[bind(X_236,$fot(X_226)),bind(X_237,$fot(X_306))]]) ).
cnf(refute_0_1403,plain,
( multiply(X_306,inverse(multiply(X_226,X_306))) != multiply(X_306,inverse(X_226))
| multiply(X_306,inverse(multiply(X_226,X_306))) != inverse(add(inverse(X_306),X_226))
| inverse(add(inverse(X_306),X_226)) = multiply(X_306,inverse(X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_306,inverse(multiply(X_226,X_306))),multiply(X_306,inverse(X_226))) ),[0],$fot(inverse(add(inverse(X_306),X_226)))]]) ).
cnf(refute_0_1404,plain,
( multiply(X_306,inverse(multiply(X_226,X_306))) != multiply(X_306,inverse(X_226))
| inverse(add(inverse(X_306),X_226)) = multiply(X_306,inverse(X_226)) ),
inference(resolve,[$cnf( $equal(multiply(X_306,inverse(multiply(X_226,X_306))),inverse(add(inverse(X_306),X_226))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
inverse(add(inverse(X_306),X_226)) = multiply(X_306,inverse(X_226)),
inference(resolve,[$cnf( $equal(multiply(X_306,inverse(multiply(X_226,X_306))),multiply(X_306,inverse(X_226))) )],[refute_0_1334,refute_0_1404]) ).
cnf(refute_0_1406,plain,
inverse(add(inverse(X_309),X_101)) = multiply(X_309,inverse(X_101)),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(X_101)),bind(X_306,$fot(X_309))]]) ).
cnf(refute_0_1407,plain,
( inverse(add(inverse(X_309),X_101)) != multiply(X_309,inverse(X_101))
| multiplicative_identity != add(add(X_101,inverse(X_309)),inverse(add(inverse(X_309),X_101)))
| multiplicative_identity = add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_101,inverse(X_309)),inverse(add(inverse(X_309),X_101)))) ),[1,1],$fot(multiply(X_309,inverse(X_101)))]]) ).
cnf(refute_0_1408,plain,
( multiplicative_identity != add(add(X_101,inverse(X_309)),inverse(add(inverse(X_309),X_101)))
| multiplicative_identity = add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_309),X_101)),multiply(X_309,inverse(X_101))) )],[refute_0_1406,refute_0_1407]) ).
cnf(refute_0_1409,plain,
multiplicative_identity = add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_101,inverse(X_309)),inverse(add(inverse(X_309),X_101)))) )],[refute_0_716,refute_0_1408]) ).
cnf(refute_0_1410,plain,
multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,multiply(inverse(X_222),X_32))) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(X_222)),bind(X_60,$fot(multiply(inverse(X_222),X_32)))]]) ).
cnf(refute_0_1411,plain,
add(X_222,multiply(inverse(X_222),X_32)) = add(X_222,X_32),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(X_222))]]) ).
cnf(refute_0_1412,plain,
( multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,multiply(inverse(X_222),X_32))) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| add(X_222,multiply(inverse(X_222),X_32)) != add(X_222,X_32)
| multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,multiply(inverse(X_222),X_32))),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) ),[0,1],$fot(add(X_222,X_32))]]) ).
cnf(refute_0_1413,plain,
( multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,multiply(inverse(X_222),X_32))) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))) ),
inference(resolve,[$cnf( $equal(add(X_222,multiply(inverse(X_222),X_32)),add(X_222,X_32)) )],[refute_0_1411,refute_0_1412]) ).
cnf(refute_0_1414,plain,
multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,multiply(inverse(X_222),X_32))),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) )],[refute_0_1410,refute_0_1413]) ).
cnf(refute_0_1415,plain,
multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) = multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(add(X_222,X_32))),bind(X_66,$fot(inverse(multiply(inverse(X_222),X_32))))]]) ).
cnf(refute_0_1416,plain,
( multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) != multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32)))
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) ),[0],$fot(multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))))]]) ).
cnf(refute_0_1417,plain,
( multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = multiply(X_222,inverse(multiply(inverse(X_222),X_32))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)),multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32)))) )],[refute_0_1415,refute_0_1416]) ).
cnf(refute_0_1418,plain,
multiply(X_65,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))) = multiply(X_65,inverse(multiply(inverse(X_65),X_131))),
inference(subst,[],[refute_0_747:[bind(X_67,$fot(inverse(multiply(inverse(X_65),X_131))))]]) ).
cnf(refute_0_1419,plain,
multiplicative_identity = add(inverse(X_65),inverse(multiply(inverse(X_65),X_131))),
inference(subst,[],[refute_0_1303:[bind(X_10,$fot(inverse(X_65))),bind(X_129,$fot(X_131))]]) ).
cnf(refute_0_1420,plain,
( multiplicative_identity != add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))
| add(inverse(X_65),inverse(multiply(inverse(X_65),X_131))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))))]]) ).
cnf(refute_0_1421,plain,
add(inverse(X_65),inverse(multiply(inverse(X_65),X_131))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))) )],[refute_0_1419,refute_0_1420]) ).
cnf(refute_0_1422,plain,
( multiply(X_65,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))) != multiply(X_65,inverse(multiply(inverse(X_65),X_131)))
| add(inverse(X_65),inverse(multiply(inverse(X_65),X_131))) != multiplicative_identity
| multiply(X_65,multiplicative_identity) = multiply(X_65,inverse(multiply(inverse(X_65),X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))),multiply(X_65,inverse(multiply(inverse(X_65),X_131)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1423,plain,
( multiply(X_65,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))) != multiply(X_65,inverse(multiply(inverse(X_65),X_131)))
| multiply(X_65,multiplicative_identity) = multiply(X_65,inverse(multiply(inverse(X_65),X_131))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_65),inverse(multiply(inverse(X_65),X_131))),multiplicative_identity) )],[refute_0_1421,refute_0_1422]) ).
cnf(refute_0_1424,plain,
multiply(X_65,multiplicative_identity) = multiply(X_65,inverse(multiply(inverse(X_65),X_131))),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),inverse(multiply(inverse(X_65),X_131)))),multiply(X_65,inverse(multiply(inverse(X_65),X_131)))) )],[refute_0_1418,refute_0_1423]) ).
cnf(refute_0_1425,plain,
multiply(X_65,multiplicative_identity) = X_65,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_65))]]) ).
cnf(refute_0_1426,plain,
( multiply(X_65,multiplicative_identity) != X_65
| multiply(X_65,multiplicative_identity) != multiply(X_65,inverse(multiply(inverse(X_65),X_131)))
| X_65 = multiply(X_65,inverse(multiply(inverse(X_65),X_131))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,multiplicative_identity),multiply(X_65,inverse(multiply(inverse(X_65),X_131)))) ),[0],$fot(X_65)]]) ).
cnf(refute_0_1427,plain,
( multiply(X_65,multiplicative_identity) != multiply(X_65,inverse(multiply(inverse(X_65),X_131)))
| X_65 = multiply(X_65,inverse(multiply(inverse(X_65),X_131))) ),
inference(resolve,[$cnf( $equal(multiply(X_65,multiplicative_identity),X_65) )],[refute_0_1425,refute_0_1426]) ).
cnf(refute_0_1428,plain,
X_65 = multiply(X_65,inverse(multiply(inverse(X_65),X_131))),
inference(resolve,[$cnf( $equal(multiply(X_65,multiplicative_identity),multiply(X_65,inverse(multiply(inverse(X_65),X_131)))) )],[refute_0_1424,refute_0_1427]) ).
cnf(refute_0_1429,plain,
( X_65 != multiply(X_65,inverse(multiply(inverse(X_65),X_131)))
| multiply(X_65,inverse(multiply(inverse(X_65),X_131))) = X_65 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_65)),bind(Y0,$fot(multiply(X_65,inverse(multiply(inverse(X_65),X_131)))))]]) ).
cnf(refute_0_1430,plain,
multiply(X_65,inverse(multiply(inverse(X_65),X_131))) = X_65,
inference(resolve,[$cnf( $equal(X_65,multiply(X_65,inverse(multiply(inverse(X_65),X_131)))) )],[refute_0_1428,refute_0_1429]) ).
cnf(refute_0_1431,plain,
multiply(X_222,inverse(multiply(inverse(X_222),X_32))) = X_222,
inference(subst,[],[refute_0_1430:[bind(X_131,$fot(X_32)),bind(X_65,$fot(X_222))]]) ).
cnf(refute_0_1432,plain,
( multiply(X_222,inverse(multiply(inverse(X_222),X_32))) != X_222
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = X_222 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) ),[1],$fot(X_222)]]) ).
cnf(refute_0_1433,plain,
( multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = X_222 ),
inference(resolve,[$cnf( $equal(multiply(X_222,inverse(multiply(inverse(X_222),X_32))),X_222) )],[refute_0_1431,refute_0_1432]) ).
cnf(refute_0_1434,plain,
( multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)) != multiply(X_222,inverse(multiply(inverse(X_222),X_32)))
| multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = X_222 ),
inference(resolve,[$cnf( $equal(multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) )],[refute_0_1417,refute_0_1433]) ).
cnf(refute_0_1435,plain,
multiply(add(X_222,X_32),inverse(multiply(inverse(X_222),X_32))) = X_222,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_222),X_32)),add(X_222,X_32)),multiply(X_222,inverse(multiply(inverse(X_222),X_32)))) )],[refute_0_1414,refute_0_1434]) ).
cnf(refute_0_1436,plain,
multiply(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(multiply(X_174,X_175),X_72),
inference(subst,[],[refute_0_1435:[bind(X_222,$fot(add(multiply(X_174,X_175),X_72))),bind(X_32,$fot(inverse(add(X_72,multiply(X_175,X_174)))))]]) ).
cnf(refute_0_1437,plain,
multiplicative_identity = add(add(multiply(X_175,X_174),X_72),inverse(add(X_72,multiply(X_175,X_174)))),
inference(subst,[],[refute_0_697:[bind(X_101,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_1438,plain,
add(multiply(X_175,X_174),X_72) = add(multiply(X_174,X_175),X_72),
inference(subst,[],[refute_0_710:[bind(X_10,$fot(X_174)),bind(X_11,$fot(X_175)),bind(X_12,$fot(X_72))]]) ).
cnf(refute_0_1439,plain,
( add(multiply(X_175,X_174),X_72) != add(multiply(X_174,X_175),X_72)
| multiplicative_identity != add(add(multiply(X_175,X_174),X_72),inverse(add(X_72,multiply(X_175,X_174))))
| multiplicative_identity = add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(multiply(X_175,X_174),X_72),inverse(add(X_72,multiply(X_175,X_174))))) ),[1,0],$fot(add(multiply(X_174,X_175),X_72))]]) ).
cnf(refute_0_1440,plain,
( multiplicative_identity != add(add(multiply(X_175,X_174),X_72),inverse(add(X_72,multiply(X_175,X_174))))
| multiplicative_identity = add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),X_72),add(multiply(X_174,X_175),X_72)) )],[refute_0_1438,refute_0_1439]) ).
cnf(refute_0_1441,plain,
multiplicative_identity = add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(multiply(X_175,X_174),X_72),inverse(add(X_72,multiply(X_175,X_174))))) )],[refute_0_1437,refute_0_1440]) ).
cnf(refute_0_1442,plain,
( multiplicative_identity != add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174))))
| add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174))))))]]) ).
cnf(refute_0_1443,plain,
add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174))))) )],[refute_0_1441,refute_0_1442]) ).
cnf(refute_0_1444,plain,
( multiply(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != add(multiply(X_174,X_175),X_72)
| add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))) != multiplicative_identity
| multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(multiply(X_174,X_175),X_72) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),add(multiply(X_174,X_175),X_72)) ),[0,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1445,plain,
( multiply(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != add(multiply(X_174,X_175),X_72)
| multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(multiply(X_174,X_175),X_72) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),multiplicative_identity) )],[refute_0_1443,refute_0_1444]) ).
cnf(refute_0_1446,plain,
multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(multiply(X_174,X_175),X_72),
inference(resolve,[$cnf( $equal(multiply(add(add(multiply(X_174,X_175),X_72),inverse(add(X_72,multiply(X_175,X_174)))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),add(multiply(X_174,X_175),X_72)) )],[refute_0_1436,refute_0_1445]) ).
cnf(refute_0_1447,plain,
inverse(inverse(add(X_72,multiply(X_175,X_174)))) = add(X_72,multiply(X_175,X_174)),
inference(subst,[],[refute_0_674:[bind(X_40,$fot(add(X_72,multiply(X_175,X_174))))]]) ).
cnf(refute_0_1448,plain,
multiply(inverse(add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))),
inference(subst,[],[refute_0_896:[bind(X_59,$fot(add(X_101,X_72))),bind(X_60,$fot(inverse(add(X_72,X_101))))]]) ).
cnf(refute_0_1449,plain,
( multiplicative_identity != add(add(X_101,X_72),inverse(add(X_72,X_101)))
| add(add(X_101,X_72),inverse(add(X_72,X_101))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_101,X_72),inverse(add(X_72,X_101)))))]]) ).
cnf(refute_0_1450,plain,
add(add(X_101,X_72),inverse(add(X_72,X_101))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_101,X_72),inverse(add(X_72,X_101)))) )],[refute_0_697,refute_0_1449]) ).
cnf(refute_0_1451,plain,
( multiply(inverse(add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))) != multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))
| add(add(X_101,X_72),inverse(add(X_72,X_101))) != multiplicative_identity
| multiply(inverse(add(X_101,X_72)),multiplicative_identity) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))),multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1452,plain,
( multiply(inverse(add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))) != multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))
| multiply(inverse(add(X_101,X_72)),multiplicative_identity) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))) ),
inference(resolve,[$cnf( $equal(add(add(X_101,X_72),inverse(add(X_72,X_101))),multiplicative_identity) )],[refute_0_1450,refute_0_1451]) ).
cnf(refute_0_1453,plain,
multiply(inverse(add(X_101,X_72)),multiplicative_identity) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_72)),add(add(X_101,X_72),inverse(add(X_72,X_101)))),multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))) )],[refute_0_1448,refute_0_1452]) ).
cnf(refute_0_1454,plain,
multiply(inverse(add(X_101,X_72)),multiplicative_identity) = inverse(add(X_101,X_72)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(add(X_101,X_72))))]]) ).
cnf(refute_0_1455,plain,
( multiply(inverse(add(X_101,X_72)),multiplicative_identity) != multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))
| multiply(inverse(add(X_101,X_72)),multiplicative_identity) != inverse(add(X_101,X_72))
| inverse(add(X_101,X_72)) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_101,X_72)),multiplicative_identity),multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))) ),[0],$fot(inverse(add(X_101,X_72)))]]) ).
cnf(refute_0_1456,plain,
( multiply(inverse(add(X_101,X_72)),multiplicative_identity) != multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))
| inverse(add(X_101,X_72)) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_72)),multiplicative_identity),inverse(add(X_101,X_72))) )],[refute_0_1454,refute_0_1455]) ).
cnf(refute_0_1457,plain,
inverse(add(X_101,X_72)) = multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_101,X_72)),multiplicative_identity),multiply(inverse(add(X_72,X_101)),inverse(add(X_101,X_72)))) )],[refute_0_1453,refute_0_1456]) ).
cnf(refute_0_1458,plain,
inverse(add(X_101,multiply(X_175,X_174))) = multiply(inverse(add(multiply(X_175,X_174),X_101)),inverse(add(X_101,multiply(X_175,X_174)))),
inference(subst,[],[refute_0_1457:[bind(X_72,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_1459,plain,
( add(multiply(X_175,X_174),X_101) != add(multiply(X_174,X_175),X_101)
| inverse(add(X_101,multiply(X_175,X_174))) != multiply(inverse(add(multiply(X_175,X_174),X_101)),inverse(add(X_101,multiply(X_175,X_174))))
| inverse(add(X_101,multiply(X_175,X_174))) = multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_101,multiply(X_175,X_174))),multiply(inverse(add(multiply(X_175,X_174),X_101)),inverse(add(X_101,multiply(X_175,X_174))))) ),[1,0,0],$fot(add(multiply(X_174,X_175),X_101))]]) ).
cnf(refute_0_1460,plain,
( inverse(add(X_101,multiply(X_175,X_174))) != multiply(inverse(add(multiply(X_175,X_174),X_101)),inverse(add(X_101,multiply(X_175,X_174))))
| inverse(add(X_101,multiply(X_175,X_174))) = multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),X_101),add(multiply(X_174,X_175),X_101)) )],[refute_0_711,refute_0_1459]) ).
cnf(refute_0_1461,plain,
inverse(add(X_101,multiply(X_175,X_174))) = multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174)))),
inference(resolve,[$cnf( $equal(inverse(add(X_101,multiply(X_175,X_174))),multiply(inverse(add(multiply(X_175,X_174),X_101)),inverse(add(X_101,multiply(X_175,X_174))))) )],[refute_0_1458,refute_0_1460]) ).
cnf(refute_0_1462,plain,
( inverse(add(X_101,multiply(X_175,X_174))) != multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174))))
| multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174)))) = inverse(add(X_101,multiply(X_175,X_174))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_101,multiply(X_175,X_174))))),bind(Y0,$fot(multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174))))))]]) ).
cnf(refute_0_1463,plain,
multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174)))) = inverse(add(X_101,multiply(X_175,X_174))),
inference(resolve,[$cnf( $equal(inverse(add(X_101,multiply(X_175,X_174))),multiply(inverse(add(multiply(X_174,X_175),X_101)),inverse(add(X_101,multiply(X_175,X_174))))) )],[refute_0_1461,refute_0_1462]) ).
cnf(refute_0_1464,plain,
multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))) = inverse(add(X_72,multiply(X_175,X_174))),
inference(subst,[],[refute_0_1463:[bind(X_101,$fot(X_72))]]) ).
cnf(refute_0_1465,plain,
inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))))]]) ).
cnf(refute_0_1466,plain,
( multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))) != inverse(add(X_72,multiply(X_175,X_174)))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) != inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = inverse(inverse(add(X_72,multiply(X_175,X_174)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) ),[1,0],$fot(inverse(add(X_72,multiply(X_175,X_174))))]]) ).
cnf(refute_0_1467,plain,
( multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))) != inverse(add(X_72,multiply(X_175,X_174)))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = inverse(inverse(add(X_72,multiply(X_175,X_174)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = inverse(inverse(add(X_72,multiply(X_175,X_174)))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))),inverse(add(X_72,multiply(X_175,X_174)))) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
( inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) != inverse(inverse(add(X_72,multiply(X_175,X_174))))
| inverse(inverse(add(X_72,multiply(X_175,X_174)))) != add(X_72,multiply(X_175,X_174))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = add(X_72,multiply(X_175,X_174)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))))),bind(Y0,$fot(inverse(inverse(add(X_72,multiply(X_175,X_174)))))),bind(Z0,$fot(add(X_72,multiply(X_175,X_174))))]]) ).
cnf(refute_0_1470,plain,
( inverse(inverse(add(X_72,multiply(X_175,X_174)))) != add(X_72,multiply(X_175,X_174))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = add(X_72,multiply(X_175,X_174)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),inverse(inverse(add(X_72,multiply(X_175,X_174))))) )],[refute_0_1468,refute_0_1469]) ).
cnf(refute_0_1471,plain,
inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) = add(X_72,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_72,multiply(X_175,X_174)))),add(X_72,multiply(X_175,X_174))) )],[refute_0_1447,refute_0_1470]) ).
cnf(refute_0_1472,plain,
multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))))]]) ).
cnf(refute_0_1473,plain,
( multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))
| inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) != add(X_72,multiply(X_175,X_174))
| multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(X_72,multiply(X_175,X_174)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))))),bind(Y0,$fot(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))))),bind(Z0,$fot(add(X_72,multiply(X_175,X_174))))]]) ).
cnf(refute_0_1474,plain,
( inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))) != add(X_72,multiply(X_175,X_174))
| multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(X_72,multiply(X_175,X_174)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) )],[refute_0_1472,refute_0_1473]) ).
cnf(refute_0_1475,plain,
multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) = add(X_72,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174))))),add(X_72,multiply(X_175,X_174))) )],[refute_0_1471,refute_0_1474]) ).
cnf(refute_0_1476,plain,
( multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != add(X_72,multiply(X_175,X_174))
| multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != add(multiply(X_174,X_175),X_72)
| add(X_72,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X_72) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),add(multiply(X_174,X_175),X_72)) ),[0],$fot(add(X_72,multiply(X_175,X_174)))]]) ).
cnf(refute_0_1477,plain,
( multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))) != add(multiply(X_174,X_175),X_72)
| add(X_72,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X_72) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),add(X_72,multiply(X_175,X_174))) )],[refute_0_1475,refute_0_1476]) ).
cnf(refute_0_1478,plain,
add(X_72,multiply(X_175,X_174)) = add(multiply(X_174,X_175),X_72),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiply(inverse(add(multiply(X_174,X_175),X_72)),inverse(add(X_72,multiply(X_175,X_174)))))),add(multiply(X_174,X_175),X_72)) )],[refute_0_1446,refute_0_1477]) ).
cnf(refute_0_1479,plain,
add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))) = add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309))),
inference(subst,[],[refute_0_1478:[bind(X_174,$fot(inverse(X_101))),bind(X_175,$fot(X_309)),bind(X_72,$fot(add(X_101,inverse(X_309))))]]) ).
cnf(refute_0_1480,plain,
( add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))) != add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309)))
| multiplicative_identity != add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101)))
| multiplicative_identity = add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101)))) ),[1],$fot(add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309))))]]) ).
cnf(refute_0_1481,plain,
( multiplicative_identity != add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101)))
| multiplicative_identity = add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309))) ),
inference(resolve,[$cnf( $equal(add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101))),add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309)))) )],[refute_0_1479,refute_0_1480]) ).
cnf(refute_0_1482,plain,
multiplicative_identity = add(multiply(inverse(X_101),X_309),add(X_101,inverse(X_309))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_101,inverse(X_309)),multiply(X_309,inverse(X_101)))) )],[refute_0_1409,refute_0_1481]) ).
cnf(refute_0_1483,plain,
multiplicative_identity = add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))),
inference(subst,[],[refute_0_1482:[bind(X_101,$fot(X_310)),bind(X_309,$fot(X_175))]]) ).
cnf(refute_0_1484,plain,
( multiplicative_identity != add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))
| add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))))]]) ).
cnf(refute_0_1485,plain,
add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))) )],[refute_0_1483,refute_0_1484]) ).
cnf(refute_0_1486,plain,
( add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))) != multiplicative_identity
| multiplicative_identity != add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))))
| multiplicative_identity = add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))))) ),[1,1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1487,plain,
( multiplicative_identity != add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))))
| multiplicative_identity = add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175))),multiplicative_identity) )],[refute_0_1485,refute_0_1486]) ).
cnf(refute_0_1488,plain,
multiplicative_identity = add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(add(multiply(inverse(X_310),X_175),add(X_310,inverse(X_175)))))) )],[refute_0_715,refute_0_1487]) ).
cnf(refute_0_1489,plain,
add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),
inference(subst,[],[additive_id2:[bind(X,$fot(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))]]) ).
cnf(refute_0_1490,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1491,plain,
multiply(multiplicative_identity,inverse(multiplicative_identity)) = inverse(multiplicative_identity),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(multiplicative_identity)))]]) ).
cnf(refute_0_1492,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_1493,plain,
( multiply(multiplicative_identity,inverse(multiplicative_identity)) != additive_identity
| inverse(multiplicative_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),inverse(multiplicative_identity)) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
inverse(multiplicative_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(multiplicative_identity)),additive_identity) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),
introduced(tautology,[refl,[$fot(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))]]) ).
cnf(refute_0_1496,plain,
( add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))
| inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1497,plain,
( inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))) )],[refute_0_1495,refute_0_1496]) ).
cnf(refute_0_1498,plain,
add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),
inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_1494,refute_0_1497]) ).
cnf(refute_0_1499,plain,
( add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))),bind(Y0,$fot(add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))),bind(Z0,$fot(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))]]) ).
cnf(refute_0_1500,plain,
( add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))) )],[refute_0_1498,refute_0_1499]) ).
cnf(refute_0_1501,plain,
add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),
inference(resolve,[$cnf( $equal(add(additive_identity,add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) )],[refute_0_1489,refute_0_1500]) ).
cnf(refute_0_1502,plain,
multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,multiply(X_31,inverse(X_222)))) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(X_222)),bind(X_60,$fot(multiply(X_31,inverse(X_222))))]]) ).
cnf(refute_0_1503,plain,
add(X_222,multiply(X_31,inverse(X_222))) = add(X_222,X_31),
inference(subst,[],[refute_0_117:[bind(X_30,$fot(X_222))]]) ).
cnf(refute_0_1504,plain,
( multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,multiply(X_31,inverse(X_222)))) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| add(X_222,multiply(X_31,inverse(X_222))) != add(X_222,X_31)
| multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,multiply(X_31,inverse(X_222)))),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) ),[0,1],$fot(add(X_222,X_31))]]) ).
cnf(refute_0_1505,plain,
( multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,multiply(X_31,inverse(X_222)))) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) ),
inference(resolve,[$cnf( $equal(add(X_222,multiply(X_31,inverse(X_222))),add(X_222,X_31)) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,multiply(X_31,inverse(X_222)))),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) = multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(add(X_222,X_31))),bind(X_66,$fot(inverse(multiply(X_31,inverse(X_222)))))]]) ).
cnf(refute_0_1508,plain,
( multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) != multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222))))
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) ),[0],$fot(multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))))]]) ).
cnf(refute_0_1509,plain,
( multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)),multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222))))) )],[refute_0_1507,refute_0_1508]) ).
cnf(refute_0_1510,plain,
X_171 = multiply(X_171,inverse(multiply(inverse(X_171),X_170))),
inference(subst,[],[refute_0_1428:[bind(X_131,$fot(X_170)),bind(X_65,$fot(X_171))]]) ).
cnf(refute_0_1511,plain,
multiply(X_170,inverse(X_171)) = multiply(inverse(X_171),X_170),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_170)),bind(Y,$fot(inverse(X_171)))]]) ).
cnf(refute_0_1512,plain,
( multiply(X_170,inverse(X_171)) != multiply(inverse(X_171),X_170)
| multiply(inverse(X_171),X_170) = multiply(X_170,inverse(X_171)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_170,inverse(X_171)))),bind(Y0,$fot(multiply(inverse(X_171),X_170)))]]) ).
cnf(refute_0_1513,plain,
multiply(inverse(X_171),X_170) = multiply(X_170,inverse(X_171)),
inference(resolve,[$cnf( $equal(multiply(X_170,inverse(X_171)),multiply(inverse(X_171),X_170)) )],[refute_0_1511,refute_0_1512]) ).
cnf(refute_0_1514,plain,
( X_171 != multiply(X_171,inverse(multiply(inverse(X_171),X_170)))
| multiply(inverse(X_171),X_170) != multiply(X_170,inverse(X_171))
| X_171 = multiply(X_171,inverse(multiply(X_170,inverse(X_171)))) ),
introduced(tautology,[equality,[$cnf( $equal(X_171,multiply(X_171,inverse(multiply(inverse(X_171),X_170)))) ),[1,1,0],$fot(multiply(X_170,inverse(X_171)))]]) ).
cnf(refute_0_1515,plain,
( X_171 != multiply(X_171,inverse(multiply(inverse(X_171),X_170)))
| X_171 = multiply(X_171,inverse(multiply(X_170,inverse(X_171)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_171),X_170),multiply(X_170,inverse(X_171))) )],[refute_0_1513,refute_0_1514]) ).
cnf(refute_0_1516,plain,
X_171 = multiply(X_171,inverse(multiply(X_170,inverse(X_171)))),
inference(resolve,[$cnf( $equal(X_171,multiply(X_171,inverse(multiply(inverse(X_171),X_170)))) )],[refute_0_1510,refute_0_1515]) ).
cnf(refute_0_1517,plain,
( X_171 != multiply(X_171,inverse(multiply(X_170,inverse(X_171))))
| multiply(X_171,inverse(multiply(X_170,inverse(X_171)))) = X_171 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_171)),bind(Y0,$fot(multiply(X_171,inverse(multiply(X_170,inverse(X_171))))))]]) ).
cnf(refute_0_1518,plain,
multiply(X_171,inverse(multiply(X_170,inverse(X_171)))) = X_171,
inference(resolve,[$cnf( $equal(X_171,multiply(X_171,inverse(multiply(X_170,inverse(X_171))))) )],[refute_0_1516,refute_0_1517]) ).
cnf(refute_0_1519,plain,
multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) = X_222,
inference(subst,[],[refute_0_1518:[bind(X_170,$fot(X_31)),bind(X_171,$fot(X_222))]]) ).
cnf(refute_0_1520,plain,
( multiply(X_222,inverse(multiply(X_31,inverse(X_222)))) != X_222
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = X_222 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) ),[1],$fot(X_222)]]) ).
cnf(refute_0_1521,plain,
( multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = X_222 ),
inference(resolve,[$cnf( $equal(multiply(X_222,inverse(multiply(X_31,inverse(X_222)))),X_222) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
( multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)) != multiply(X_222,inverse(multiply(X_31,inverse(X_222))))
| multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = X_222 ),
inference(resolve,[$cnf( $equal(multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) )],[refute_0_1509,refute_0_1521]) ).
cnf(refute_0_1523,plain,
multiply(add(X_222,X_31),inverse(multiply(X_31,inverse(X_222)))) = X_222,
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_31,inverse(X_222))),add(X_222,X_31)),multiply(X_222,inverse(multiply(X_31,inverse(X_222))))) )],[refute_0_1506,refute_0_1522]) ).
cnf(refute_0_1524,plain,
multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))) = X_224,
inference(subst,[],[refute_0_1523:[bind(X_222,$fot(X_224)),bind(X_31,$fot(X_225))]]) ).
cnf(refute_0_1525,plain,
add(X_225,X_224) = add(X_224,X_225),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_225)),bind(Y,$fot(X_224))]]) ).
cnf(refute_0_1526,plain,
( add(X_225,X_224) != add(X_224,X_225)
| add(X_224,X_225) = add(X_225,X_224) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_225,X_224))),bind(Y0,$fot(add(X_224,X_225)))]]) ).
cnf(refute_0_1527,plain,
add(X_224,X_225) = add(X_225,X_224),
inference(resolve,[$cnf( $equal(add(X_225,X_224),add(X_224,X_225)) )],[refute_0_1525,refute_0_1526]) ).
cnf(refute_0_1528,plain,
( multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))) != X_224
| add(X_224,X_225) != add(X_225,X_224)
| multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))) = X_224 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))),X_224) ),[0,0],$fot(add(X_225,X_224))]]) ).
cnf(refute_0_1529,plain,
( multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))) != X_224
| multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))) = X_224 ),
inference(resolve,[$cnf( $equal(add(X_224,X_225),add(X_225,X_224)) )],[refute_0_1527,refute_0_1528]) ).
cnf(refute_0_1530,plain,
multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))) = X_224,
inference(resolve,[$cnf( $equal(multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))),X_224) )],[refute_0_1524,refute_0_1529]) ).
cnf(refute_0_1531,plain,
multiply(add(multiply(X_258,X_257),add(X_256,X_258)),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_256,X_258),
inference(subst,[],[refute_0_1530:[bind(X_224,$fot(add(X_256,X_258))),bind(X_225,$fot(multiply(X_258,X_257)))]]) ).
cnf(refute_0_1532,plain,
multiply(X_65,add(add(X_65,X_59),X_67)) = add(multiply(X_65,add(X_65,X_59)),multiply(X_65,X_67)),
inference(subst,[],[distributivity4:[bind(X,$fot(X_65)),bind(Y,$fot(add(X_65,X_59))),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_1533,plain,
X_65 = multiply(X_65,add(X_65,X_59)),
inference(subst,[],[refute_0_147:[bind(X_61,$fot(X_65))]]) ).
cnf(refute_0_1534,plain,
( X_65 != multiply(X_65,add(X_65,X_59))
| multiply(X_65,add(X_65,X_59)) = X_65 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_65)),bind(Y0,$fot(multiply(X_65,add(X_65,X_59))))]]) ).
cnf(refute_0_1535,plain,
multiply(X_65,add(X_65,X_59)) = X_65,
inference(resolve,[$cnf( $equal(X_65,multiply(X_65,add(X_65,X_59))) )],[refute_0_1533,refute_0_1534]) ).
cnf(refute_0_1536,plain,
( multiply(X_65,add(X_65,X_59)) != X_65
| multiply(X_65,add(add(X_65,X_59),X_67)) != add(multiply(X_65,add(X_65,X_59)),multiply(X_65,X_67))
| multiply(X_65,add(add(X_65,X_59),X_67)) = add(X_65,multiply(X_65,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(add(X_65,X_59),X_67)),add(multiply(X_65,add(X_65,X_59)),multiply(X_65,X_67))) ),[1,0],$fot(X_65)]]) ).
cnf(refute_0_1537,plain,
( multiply(X_65,add(add(X_65,X_59),X_67)) != add(multiply(X_65,add(X_65,X_59)),multiply(X_65,X_67))
| multiply(X_65,add(add(X_65,X_59),X_67)) = add(X_65,multiply(X_65,X_67)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,add(X_65,X_59)),X_65) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
multiply(X_65,add(add(X_65,X_59),X_67)) = add(X_65,multiply(X_65,X_67)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(add(X_65,X_59),X_67)),add(multiply(X_65,add(X_65,X_59)),multiply(X_65,X_67))) )],[refute_0_1532,refute_0_1537]) ).
cnf(refute_0_1539,plain,
add(X_65,multiply(X_65,X_67)) = X_65,
inference(subst,[],[refute_0_586:[bind(Y,$fot(X_65)),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_1540,plain,
( multiply(X_65,add(add(X_65,X_59),X_67)) != add(X_65,multiply(X_65,X_67))
| add(X_65,multiply(X_65,X_67)) != X_65
| multiply(X_65,add(add(X_65,X_59),X_67)) = X_65 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_65,add(add(X_65,X_59),X_67)),X_65) ),[0],$fot(add(X_65,multiply(X_65,X_67)))]]) ).
cnf(refute_0_1541,plain,
( multiply(X_65,add(add(X_65,X_59),X_67)) != add(X_65,multiply(X_65,X_67))
| multiply(X_65,add(add(X_65,X_59),X_67)) = X_65 ),
inference(resolve,[$cnf( $equal(add(X_65,multiply(X_65,X_67)),X_65) )],[refute_0_1539,refute_0_1540]) ).
cnf(refute_0_1542,plain,
multiply(X_65,add(add(X_65,X_59),X_67)) = X_65,
inference(resolve,[$cnf( $equal(multiply(X_65,add(add(X_65,X_59),X_67)),add(X_65,multiply(X_65,X_67))) )],[refute_0_1538,refute_0_1541]) ).
cnf(refute_0_1543,plain,
multiply(X_78,add(add(X_78,X_77),X_79)) = X_78,
inference(subst,[],[refute_0_1542:[bind(X_59,$fot(X_77)),bind(X_65,$fot(X_78)),bind(X_67,$fot(X_79))]]) ).
cnf(refute_0_1544,plain,
add(X_77,X_78) = add(X_78,X_77),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_77)),bind(Y,$fot(X_78))]]) ).
cnf(refute_0_1545,plain,
( add(X_77,X_78) != add(X_78,X_77)
| add(X_78,X_77) = add(X_77,X_78) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_77,X_78))),bind(Y0,$fot(add(X_78,X_77)))]]) ).
cnf(refute_0_1546,plain,
add(X_78,X_77) = add(X_77,X_78),
inference(resolve,[$cnf( $equal(add(X_77,X_78),add(X_78,X_77)) )],[refute_0_1544,refute_0_1545]) ).
cnf(refute_0_1547,plain,
( multiply(X_78,add(add(X_78,X_77),X_79)) != X_78
| add(X_78,X_77) != add(X_77,X_78)
| multiply(X_78,add(add(X_77,X_78),X_79)) = X_78 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_78,add(add(X_78,X_77),X_79)),X_78) ),[0,1,0],$fot(add(X_77,X_78))]]) ).
cnf(refute_0_1548,plain,
( multiply(X_78,add(add(X_78,X_77),X_79)) != X_78
| multiply(X_78,add(add(X_77,X_78),X_79)) = X_78 ),
inference(resolve,[$cnf( $equal(add(X_78,X_77),add(X_77,X_78)) )],[refute_0_1546,refute_0_1547]) ).
cnf(refute_0_1549,plain,
multiply(X_78,add(add(X_77,X_78),X_79)) = X_78,
inference(resolve,[$cnf( $equal(multiply(X_78,add(add(X_78,X_77),X_79)),X_78) )],[refute_0_1543,refute_0_1548]) ).
cnf(refute_0_1550,plain,
multiply(add(X_72,X_140),add(add(X_140,add(X_72,X_140)),X_142)) = add(X_72,X_140),
inference(subst,[],[refute_0_1549:[bind(X_77,$fot(X_140)),bind(X_78,$fot(add(X_72,X_140))),bind(X_79,$fot(X_142))]]) ).
cnf(refute_0_1551,plain,
add(X_140,X_72) = add(X_140,add(X_72,X_140)),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(X_140))]]) ).
cnf(refute_0_1552,plain,
( add(X_140,X_72) != add(X_140,add(X_72,X_140))
| add(X_140,add(X_72,X_140)) = add(X_140,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_140,X_72))),bind(Y0,$fot(add(X_140,add(X_72,X_140))))]]) ).
cnf(refute_0_1553,plain,
add(X_140,add(X_72,X_140)) = add(X_140,X_72),
inference(resolve,[$cnf( $equal(add(X_140,X_72),add(X_140,add(X_72,X_140))) )],[refute_0_1551,refute_0_1552]) ).
cnf(refute_0_1554,plain,
( multiply(add(X_72,X_140),add(add(X_140,add(X_72,X_140)),X_142)) != add(X_72,X_140)
| add(X_140,add(X_72,X_140)) != add(X_140,X_72)
| multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) = add(X_72,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_72,X_140),add(add(X_140,add(X_72,X_140)),X_142)),add(X_72,X_140)) ),[0,1,0],$fot(add(X_140,X_72))]]) ).
cnf(refute_0_1555,plain,
( multiply(add(X_72,X_140),add(add(X_140,add(X_72,X_140)),X_142)) != add(X_72,X_140)
| multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) = add(X_72,X_140) ),
inference(resolve,[$cnf( $equal(add(X_140,add(X_72,X_140)),add(X_140,X_72)) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) = add(X_72,X_140),
inference(resolve,[$cnf( $equal(multiply(add(X_72,X_140),add(add(X_140,add(X_72,X_140)),X_142)),add(X_72,X_140)) )],[refute_0_1550,refute_0_1555]) ).
cnf(refute_0_1557,plain,
add(multiply(X_95,X_96),add(X_72,X_95)) = multiply(add(X_95,add(X_72,X_95)),add(add(X_72,X_95),X_96)),
inference(subst,[],[refute_0_215:[bind(X_10,$fot(X_95)),bind(X_11,$fot(X_96)),bind(X_12,$fot(add(X_72,X_95)))]]) ).
cnf(refute_0_1558,plain,
add(X_95,X_72) = add(X_95,add(X_72,X_95)),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(X_95))]]) ).
cnf(refute_0_1559,plain,
( add(X_95,X_72) != add(X_95,add(X_72,X_95))
| add(X_95,add(X_72,X_95)) = add(X_95,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_95,X_72))),bind(Y0,$fot(add(X_95,add(X_72,X_95))))]]) ).
cnf(refute_0_1560,plain,
add(X_95,add(X_72,X_95)) = add(X_95,X_72),
inference(resolve,[$cnf( $equal(add(X_95,X_72),add(X_95,add(X_72,X_95))) )],[refute_0_1558,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( add(X_95,add(X_72,X_95)) != add(X_95,X_72)
| add(multiply(X_95,X_96),add(X_72,X_95)) != multiply(add(X_95,add(X_72,X_95)),add(add(X_72,X_95),X_96))
| add(multiply(X_95,X_96),add(X_72,X_95)) = multiply(add(X_95,X_72),add(add(X_72,X_95),X_96)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_95,X_96),add(X_72,X_95)),multiply(add(X_95,add(X_72,X_95)),add(add(X_72,X_95),X_96))) ),[1,0],$fot(add(X_95,X_72))]]) ).
cnf(refute_0_1562,plain,
( add(multiply(X_95,X_96),add(X_72,X_95)) != multiply(add(X_95,add(X_72,X_95)),add(add(X_72,X_95),X_96))
| add(multiply(X_95,X_96),add(X_72,X_95)) = multiply(add(X_95,X_72),add(add(X_72,X_95),X_96)) ),
inference(resolve,[$cnf( $equal(add(X_95,add(X_72,X_95)),add(X_95,X_72)) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
add(multiply(X_95,X_96),add(X_72,X_95)) = multiply(add(X_95,X_72),add(add(X_72,X_95),X_96)),
inference(resolve,[$cnf( $equal(add(multiply(X_95,X_96),add(X_72,X_95)),multiply(add(X_95,add(X_72,X_95)),add(add(X_72,X_95),X_96))) )],[refute_0_1557,refute_0_1562]) ).
cnf(refute_0_1564,plain,
( add(multiply(X_95,X_96),add(X_72,X_95)) != multiply(add(X_95,X_72),add(add(X_72,X_95),X_96))
| multiply(add(X_95,X_72),add(add(X_72,X_95),X_96)) = add(multiply(X_95,X_96),add(X_72,X_95)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_95,X_96),add(X_72,X_95)))),bind(Y0,$fot(multiply(add(X_95,X_72),add(add(X_72,X_95),X_96))))]]) ).
cnf(refute_0_1565,plain,
multiply(add(X_95,X_72),add(add(X_72,X_95),X_96)) = add(multiply(X_95,X_96),add(X_72,X_95)),
inference(resolve,[$cnf( $equal(add(multiply(X_95,X_96),add(X_72,X_95)),multiply(add(X_95,X_72),add(add(X_72,X_95),X_96))) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) = add(multiply(X_72,X_142),add(X_140,X_72)),
inference(subst,[],[refute_0_1565:[bind(X_72,$fot(X_140)),bind(X_95,$fot(X_72)),bind(X_96,$fot(X_142))]]) ).
cnf(refute_0_1567,plain,
( multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) != add(X_72,X_140)
| multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) != add(multiply(X_72,X_142),add(X_140,X_72))
| add(multiply(X_72,X_142),add(X_140,X_72)) = add(X_72,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)),add(X_72,X_140)) ),[0],$fot(add(multiply(X_72,X_142),add(X_140,X_72)))]]) ).
cnf(refute_0_1568,plain,
( multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)) != add(X_72,X_140)
| add(multiply(X_72,X_142),add(X_140,X_72)) = add(X_72,X_140) ),
inference(resolve,[$cnf( $equal(multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)),add(multiply(X_72,X_142),add(X_140,X_72))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
add(multiply(X_72,X_142),add(X_140,X_72)) = add(X_72,X_140),
inference(resolve,[$cnf( $equal(multiply(add(X_72,X_140),add(add(X_140,X_72),X_142)),add(X_72,X_140)) )],[refute_0_1556,refute_0_1568]) ).
cnf(refute_0_1570,plain,
add(multiply(X_258,X_257),add(X_256,X_258)) = add(X_258,X_256),
inference(subst,[],[refute_0_1569:[bind(X_140,$fot(X_256)),bind(X_142,$fot(X_257)),bind(X_72,$fot(X_258))]]) ).
cnf(refute_0_1571,plain,
( multiply(add(multiply(X_258,X_257),add(X_256,X_258)),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != add(X_256,X_258)
| add(multiply(X_258,X_257),add(X_256,X_258)) != add(X_258,X_256)
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_256,X_258) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_258,X_257),add(X_256,X_258)),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),add(X_256,X_258)) ),[0,0],$fot(add(X_258,X_256))]]) ).
cnf(refute_0_1572,plain,
( multiply(add(multiply(X_258,X_257),add(X_256,X_258)),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != add(X_256,X_258)
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_256,X_258) ),
inference(resolve,[$cnf( $equal(add(multiply(X_258,X_257),add(X_256,X_258)),add(X_258,X_256)) )],[refute_0_1570,refute_0_1571]) ).
cnf(refute_0_1573,plain,
multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_256,X_258),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_258,X_257),add(X_256,X_258)),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),add(X_256,X_258)) )],[refute_0_1531,refute_0_1572]) ).
cnf(refute_0_1574,plain,
multiply(multiplicative_identity,add(X_258,X_256)) = add(X_258,X_256),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_258,X_256)))]]) ).
cnf(refute_0_1575,plain,
multiply(add(X_258,X_256),multiplicative_identity) = multiply(multiplicative_identity,add(X_258,X_256)),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(multiplicative_identity)),bind(X_66,$fot(add(X_258,X_256)))]]) ).
cnf(refute_0_1576,plain,
( multiply(add(X_258,X_256),multiplicative_identity) != multiply(multiplicative_identity,add(X_258,X_256))
| multiply(multiplicative_identity,add(X_258,X_256)) != add(X_258,X_256)
| multiply(add(X_258,X_256),multiplicative_identity) = add(X_258,X_256) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_258,X_256),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(X_258,X_256)))),bind(Z0,$fot(add(X_258,X_256)))]]) ).
cnf(refute_0_1577,plain,
( multiply(multiplicative_identity,add(X_258,X_256)) != add(X_258,X_256)
| multiply(add(X_258,X_256),multiplicative_identity) = add(X_258,X_256) ),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),multiplicative_identity),multiply(multiplicative_identity,add(X_258,X_256))) )],[refute_0_1575,refute_0_1576]) ).
cnf(refute_0_1578,plain,
multiply(add(X_258,X_256),multiplicative_identity) = add(X_258,X_256),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_258,X_256)),add(X_258,X_256)) )],[refute_0_1574,refute_0_1577]) ).
cnf(refute_0_1579,plain,
add(additive_identity,inverse(additive_identity)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(additive_identity))]]) ).
cnf(refute_0_1580,plain,
add(additive_identity,inverse(additive_identity)) = inverse(additive_identity),
inference(subst,[],[additive_id2:[bind(X,$fot(inverse(additive_identity)))]]) ).
cnf(refute_0_1581,plain,
( add(additive_identity,inverse(additive_identity)) != inverse(additive_identity)
| add(additive_identity,inverse(additive_identity)) != multiplicative_identity
| inverse(additive_identity) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),multiplicative_identity) ),[0],$fot(inverse(additive_identity))]]) ).
cnf(refute_0_1582,plain,
( add(additive_identity,inverse(additive_identity)) != multiplicative_identity
| inverse(additive_identity) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),inverse(additive_identity)) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
inverse(additive_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(additive_identity,inverse(additive_identity)),multiplicative_identity) )],[refute_0_1579,refute_0_1582]) ).
cnf(refute_0_1584,plain,
multiply(inverse(add(X_256,X_258)),add(multiply(X_258,X_257),add(X_256,X_258))) = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(multiply(X_258,X_257))),bind(X_60,$fot(add(X_256,X_258)))]]) ).
cnf(refute_0_1585,plain,
( multiply(inverse(add(X_256,X_258)),add(multiply(X_258,X_257),add(X_256,X_258))) != multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))
| add(multiply(X_258,X_257),add(X_256,X_258)) != add(X_258,X_256)
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(multiply(X_258,X_257),add(X_256,X_258))),multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) ),[0,1],$fot(add(X_258,X_256))]]) ).
cnf(refute_0_1586,plain,
( multiply(inverse(add(X_256,X_258)),add(multiply(X_258,X_257),add(X_256,X_258))) != multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_258,X_257),add(X_256,X_258)),add(X_258,X_256)) )],[refute_0_1570,refute_0_1585]) ).
cnf(refute_0_1587,plain,
multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(multiply(X_258,X_257),add(X_256,X_258))),multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) )],[refute_0_1584,refute_0_1586]) ).
cnf(refute_0_1588,plain,
multiply(add(X_74,X_32),inverse(add(add(X_74,X_32),multiply(inverse(X_74),X_32)))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(add(X_74,X_32))),bind(X_186,$fot(multiply(inverse(X_74),X_32)))]]) ).
cnf(refute_0_1589,plain,
add(multiply(inverse(X_74),X_32),X_74) = add(multiply(inverse(X_74),X_32),add(X_74,multiply(inverse(X_74),X_32))),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(multiply(inverse(X_74),X_32))),bind(X_72,$fot(X_74))]]) ).
cnf(refute_0_1590,plain,
add(X_74,multiply(inverse(X_74),X_32)) = add(X_74,X_32),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(X_74))]]) ).
cnf(refute_0_1591,plain,
( add(X_74,multiply(inverse(X_74),X_32)) != add(X_74,X_32)
| add(multiply(inverse(X_74),X_32),X_74) != add(multiply(inverse(X_74),X_32),add(X_74,multiply(inverse(X_74),X_32)))
| add(multiply(inverse(X_74),X_32),X_74) = add(multiply(inverse(X_74),X_32),add(X_74,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(multiply(inverse(X_74),X_32),add(X_74,multiply(inverse(X_74),X_32)))) ),[1,1],$fot(add(X_74,X_32))]]) ).
cnf(refute_0_1592,plain,
( add(multiply(inverse(X_74),X_32),X_74) != add(multiply(inverse(X_74),X_32),add(X_74,multiply(inverse(X_74),X_32)))
| add(multiply(inverse(X_74),X_32),X_74) = add(multiply(inverse(X_74),X_32),add(X_74,X_32)) ),
inference(resolve,[$cnf( $equal(add(X_74,multiply(inverse(X_74),X_32)),add(X_74,X_32)) )],[refute_0_1590,refute_0_1591]) ).
cnf(refute_0_1593,plain,
add(multiply(inverse(X_74),X_32),X_74) = add(multiply(inverse(X_74),X_32),add(X_74,X_32)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(multiply(inverse(X_74),X_32),add(X_74,multiply(inverse(X_74),X_32)))) )],[refute_0_1589,refute_0_1592]) ).
cnf(refute_0_1594,plain,
add(multiply(inverse(X_74),X_32),X_74) = add(X_74,multiply(inverse(X_74),X_32)),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(X_32)),bind(X_59,$fot(X_74)),bind(X_60,$fot(inverse(X_74)))]]) ).
cnf(refute_0_1595,plain,
( add(X_74,multiply(inverse(X_74),X_32)) != add(X_74,X_32)
| add(multiply(inverse(X_74),X_32),X_74) != add(X_74,multiply(inverse(X_74),X_32))
| add(multiply(inverse(X_74),X_32),X_74) = add(X_74,X_32) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(inverse(X_74),X_32),X_74))),bind(Y0,$fot(add(X_74,multiply(inverse(X_74),X_32)))),bind(Z0,$fot(add(X_74,X_32)))]]) ).
cnf(refute_0_1596,plain,
( add(X_74,multiply(inverse(X_74),X_32)) != add(X_74,X_32)
| add(multiply(inverse(X_74),X_32),X_74) = add(X_74,X_32) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(X_74,multiply(inverse(X_74),X_32))) )],[refute_0_1594,refute_0_1595]) ).
cnf(refute_0_1597,plain,
add(multiply(inverse(X_74),X_32),X_74) = add(X_74,X_32),
inference(resolve,[$cnf( $equal(add(X_74,multiply(inverse(X_74),X_32)),add(X_74,X_32)) )],[refute_0_1590,refute_0_1596]) ).
cnf(refute_0_1598,plain,
( add(multiply(inverse(X_74),X_32),X_74) != add(X_74,X_32)
| add(multiply(inverse(X_74),X_32),X_74) != add(multiply(inverse(X_74),X_32),add(X_74,X_32))
| add(X_74,X_32) = add(multiply(inverse(X_74),X_32),add(X_74,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(multiply(inverse(X_74),X_32),add(X_74,X_32))) ),[0],$fot(add(X_74,X_32))]]) ).
cnf(refute_0_1599,plain,
( add(multiply(inverse(X_74),X_32),X_74) != add(multiply(inverse(X_74),X_32),add(X_74,X_32))
| add(X_74,X_32) = add(multiply(inverse(X_74),X_32),add(X_74,X_32)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(X_74,X_32)) )],[refute_0_1597,refute_0_1598]) ).
cnf(refute_0_1600,plain,
add(multiply(inverse(X_74),X_32),add(X_74,X_32)) = add(add(X_74,X_32),multiply(inverse(X_74),X_32)),
inference(subst,[],[refute_0_514:[bind(X_13,$fot(X_32)),bind(X_59,$fot(add(X_74,X_32))),bind(X_60,$fot(inverse(X_74)))]]) ).
cnf(refute_0_1601,plain,
( add(X_74,X_32) != add(multiply(inverse(X_74),X_32),add(X_74,X_32))
| add(multiply(inverse(X_74),X_32),add(X_74,X_32)) != add(add(X_74,X_32),multiply(inverse(X_74),X_32))
| add(X_74,X_32) = add(add(X_74,X_32),multiply(inverse(X_74),X_32)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_74,X_32),add(add(X_74,X_32),multiply(inverse(X_74),X_32))) ),[0],$fot(add(multiply(inverse(X_74),X_32),add(X_74,X_32)))]]) ).
cnf(refute_0_1602,plain,
( add(X_74,X_32) != add(multiply(inverse(X_74),X_32),add(X_74,X_32))
| add(X_74,X_32) = add(add(X_74,X_32),multiply(inverse(X_74),X_32)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_74),X_32),add(X_74,X_32)),add(add(X_74,X_32),multiply(inverse(X_74),X_32))) )],[refute_0_1600,refute_0_1601]) ).
cnf(refute_0_1603,plain,
( add(multiply(inverse(X_74),X_32),X_74) != add(multiply(inverse(X_74),X_32),add(X_74,X_32))
| add(X_74,X_32) = add(add(X_74,X_32),multiply(inverse(X_74),X_32)) ),
inference(resolve,[$cnf( $equal(add(X_74,X_32),add(multiply(inverse(X_74),X_32),add(X_74,X_32))) )],[refute_0_1599,refute_0_1602]) ).
cnf(refute_0_1604,plain,
add(X_74,X_32) = add(add(X_74,X_32),multiply(inverse(X_74),X_32)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_74),X_32),X_74),add(multiply(inverse(X_74),X_32),add(X_74,X_32))) )],[refute_0_1593,refute_0_1603]) ).
cnf(refute_0_1605,plain,
( add(X_74,X_32) != add(add(X_74,X_32),multiply(inverse(X_74),X_32))
| add(add(X_74,X_32),multiply(inverse(X_74),X_32)) = add(X_74,X_32) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_74,X_32))),bind(Y0,$fot(add(add(X_74,X_32),multiply(inverse(X_74),X_32))))]]) ).
cnf(refute_0_1606,plain,
add(add(X_74,X_32),multiply(inverse(X_74),X_32)) = add(X_74,X_32),
inference(resolve,[$cnf( $equal(add(X_74,X_32),add(add(X_74,X_32),multiply(inverse(X_74),X_32))) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
( multiply(add(X_74,X_32),inverse(add(add(X_74,X_32),multiply(inverse(X_74),X_32)))) != additive_identity
| add(add(X_74,X_32),multiply(inverse(X_74),X_32)) != add(X_74,X_32)
| multiply(add(X_74,X_32),inverse(add(X_74,X_32))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_74,X_32),inverse(add(add(X_74,X_32),multiply(inverse(X_74),X_32)))),additive_identity) ),[0,1,0],$fot(add(X_74,X_32))]]) ).
cnf(refute_0_1608,plain,
( multiply(add(X_74,X_32),inverse(add(add(X_74,X_32),multiply(inverse(X_74),X_32)))) != additive_identity
| multiply(add(X_74,X_32),inverse(add(X_74,X_32))) = additive_identity ),
inference(resolve,[$cnf( $equal(add(add(X_74,X_32),multiply(inverse(X_74),X_32)),add(X_74,X_32)) )],[refute_0_1606,refute_0_1607]) ).
cnf(refute_0_1609,plain,
multiply(add(X_74,X_32),inverse(add(X_74,X_32))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_74,X_32),inverse(add(add(X_74,X_32),multiply(inverse(X_74),X_32)))),additive_identity) )],[refute_0_1588,refute_0_1608]) ).
cnf(refute_0_1610,plain,
multiply(add(X,Y),inverse(add(X,X_188))) = add(multiply(X,inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188)))),
inference(subst,[],[distributivity3:[bind(Z,$fot(inverse(add(X,X_188))))]]) ).
cnf(refute_0_1611,plain,
( multiply(X,inverse(add(X,X_188))) != additive_identity
| multiply(add(X,Y),inverse(add(X,X_188))) != add(multiply(X,inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188))))
| multiply(add(X,Y),inverse(add(X,X_188))) = add(additive_identity,multiply(Y,inverse(add(X,X_188)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),inverse(add(X,X_188))),add(multiply(X,inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188))))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1612,plain,
( multiply(add(X,Y),inverse(add(X,X_188))) != add(multiply(X,inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188))))
| multiply(add(X,Y),inverse(add(X,X_188))) = add(additive_identity,multiply(Y,inverse(add(X,X_188)))) ),
inference(resolve,[$cnf( $equal(multiply(X,inverse(add(X,X_188))),additive_identity) )],[refute_0_1028,refute_0_1611]) ).
cnf(refute_0_1613,plain,
multiply(add(X,Y),inverse(add(X,X_188))) = add(additive_identity,multiply(Y,inverse(add(X,X_188)))),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X,X_188))),add(multiply(X,inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188))))) )],[refute_0_1610,refute_0_1612]) ).
cnf(refute_0_1614,plain,
add(additive_identity,multiply(Y,inverse(add(X,X_188)))) = multiply(Y,inverse(add(X,X_188))),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(Y,inverse(add(X,X_188)))))]]) ).
cnf(refute_0_1615,plain,
( multiply(add(X,Y),inverse(add(X,X_188))) != add(additive_identity,multiply(Y,inverse(add(X,X_188))))
| add(additive_identity,multiply(Y,inverse(add(X,X_188)))) != multiply(Y,inverse(add(X,X_188)))
| multiply(add(X,Y),inverse(add(X,X_188))) = multiply(Y,inverse(add(X,X_188))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,Y),inverse(add(X,X_188))),multiply(Y,inverse(add(X,X_188)))) ),[0],$fot(add(additive_identity,multiply(Y,inverse(add(X,X_188)))))]]) ).
cnf(refute_0_1616,plain,
( multiply(add(X,Y),inverse(add(X,X_188))) != add(additive_identity,multiply(Y,inverse(add(X,X_188))))
| multiply(add(X,Y),inverse(add(X,X_188))) = multiply(Y,inverse(add(X,X_188))) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(Y,inverse(add(X,X_188)))),multiply(Y,inverse(add(X,X_188)))) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
multiply(add(X,Y),inverse(add(X,X_188))) = multiply(Y,inverse(add(X,X_188))),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X,X_188))),add(additive_identity,multiply(Y,inverse(add(X,X_188))))) )],[refute_0_1613,refute_0_1616]) ).
cnf(refute_0_1618,plain,
multiply(add(X_74,X_32),inverse(add(X_74,X_32))) = multiply(X_32,inverse(add(X_74,X_32))),
inference(subst,[],[refute_0_1617:[bind(X,$fot(X_74)),bind(Y,$fot(X_32)),bind(X_188,$fot(X_32))]]) ).
cnf(refute_0_1619,plain,
( multiply(add(X_74,X_32),inverse(add(X_74,X_32))) != multiply(X_32,inverse(add(X_74,X_32)))
| multiply(add(X_74,X_32),inverse(add(X_74,X_32))) != additive_identity
| multiply(X_32,inverse(add(X_74,X_32))) = additive_identity ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_74,X_32),inverse(add(X_74,X_32))),additive_identity) ),[0],$fot(multiply(X_32,inverse(add(X_74,X_32))))]]) ).
cnf(refute_0_1620,plain,
( multiply(add(X_74,X_32),inverse(add(X_74,X_32))) != additive_identity
| multiply(X_32,inverse(add(X_74,X_32))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(X_74,X_32),inverse(add(X_74,X_32))),multiply(X_32,inverse(add(X_74,X_32)))) )],[refute_0_1618,refute_0_1619]) ).
cnf(refute_0_1621,plain,
multiply(X_32,inverse(add(X_74,X_32))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_74,X_32),inverse(add(X_74,X_32))),additive_identity) )],[refute_0_1609,refute_0_1620]) ).
cnf(refute_0_1622,plain,
multiply(X_258,inverse(add(X_256,X_258))) = additive_identity,
inference(subst,[],[refute_0_1621:[bind(X_32,$fot(X_258)),bind(X_74,$fot(X_256))]]) ).
cnf(refute_0_1623,plain,
multiply(inverse(add(X_256,X_258)),X_258) = multiply(X_258,inverse(add(X_256,X_258))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(X_258)),bind(X_66,$fot(inverse(add(X_256,X_258))))]]) ).
cnf(refute_0_1624,plain,
( multiply(X_258,inverse(add(X_256,X_258))) != additive_identity
| multiply(inverse(add(X_256,X_258)),X_258) != multiply(X_258,inverse(add(X_256,X_258)))
| multiply(inverse(add(X_256,X_258)),X_258) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(add(X_256,X_258)),X_258))),bind(Y0,$fot(multiply(X_258,inverse(add(X_256,X_258))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1625,plain,
( multiply(X_258,inverse(add(X_256,X_258))) != additive_identity
| multiply(inverse(add(X_256,X_258)),X_258) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),X_258),multiply(X_258,inverse(add(X_256,X_258)))) )],[refute_0_1623,refute_0_1624]) ).
cnf(refute_0_1626,plain,
multiply(inverse(add(X_256,X_258)),X_258) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_258,inverse(add(X_256,X_258))),additive_identity) )],[refute_0_1622,refute_0_1625]) ).
cnf(refute_0_1627,plain,
multiply(add(X,Y),inverse(add(Y,X_188))) = add(multiply(X,inverse(add(Y,X_188))),multiply(Y,inverse(add(Y,X_188)))),
inference(subst,[],[distributivity3:[bind(Z,$fot(inverse(add(Y,X_188))))]]) ).
cnf(refute_0_1628,plain,
multiply(Y,inverse(add(Y,X_188))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(Y)),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_1629,plain,
( multiply(Y,inverse(add(Y,X_188))) != additive_identity
| multiply(add(X,Y),inverse(add(Y,X_188))) != add(multiply(X,inverse(add(Y,X_188))),multiply(Y,inverse(add(Y,X_188))))
| multiply(add(X,Y),inverse(add(Y,X_188))) = add(multiply(X,inverse(add(Y,X_188))),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),inverse(add(Y,X_188))),add(multiply(X,inverse(add(Y,X_188))),multiply(Y,inverse(add(Y,X_188))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1630,plain,
( multiply(add(X,Y),inverse(add(Y,X_188))) != add(multiply(X,inverse(add(Y,X_188))),multiply(Y,inverse(add(Y,X_188))))
| multiply(add(X,Y),inverse(add(Y,X_188))) = add(multiply(X,inverse(add(Y,X_188))),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(add(Y,X_188))),additive_identity) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
multiply(add(X,Y),inverse(add(Y,X_188))) = add(multiply(X,inverse(add(Y,X_188))),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(Y,X_188))),add(multiply(X,inverse(add(Y,X_188))),multiply(Y,inverse(add(Y,X_188))))) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
add(additive_identity,multiply(inverse(add(Y,X_188)),X)) = multiply(inverse(add(Y,X_188)),X),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(inverse(add(Y,X_188)),X)))]]) ).
cnf(refute_0_1633,plain,
add(multiply(X,inverse(add(Y,X_188))),additive_identity) = add(additive_identity,multiply(inverse(add(Y,X_188)),X)),
inference(subst,[],[refute_0_1065:[bind(X,$fot(additive_identity)),bind(X_174,$fot(X)),bind(X_175,$fot(inverse(add(Y,X_188))))]]) ).
cnf(refute_0_1634,plain,
( add(multiply(X,inverse(add(Y,X_188))),additive_identity) != add(additive_identity,multiply(inverse(add(Y,X_188)),X))
| add(additive_identity,multiply(inverse(add(Y,X_188)),X)) != multiply(inverse(add(Y,X_188)),X)
| add(multiply(X,inverse(add(Y,X_188))),additive_identity) = multiply(inverse(add(Y,X_188)),X) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X,inverse(add(Y,X_188))),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(inverse(add(Y,X_188)),X)))),bind(Z0,$fot(multiply(inverse(add(Y,X_188)),X)))]]) ).
cnf(refute_0_1635,plain,
( add(additive_identity,multiply(inverse(add(Y,X_188)),X)) != multiply(inverse(add(Y,X_188)),X)
| add(multiply(X,inverse(add(Y,X_188))),additive_identity) = multiply(inverse(add(Y,X_188)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(add(Y,X_188))),additive_identity),add(additive_identity,multiply(inverse(add(Y,X_188)),X))) )],[refute_0_1633,refute_0_1634]) ).
cnf(refute_0_1636,plain,
add(multiply(X,inverse(add(Y,X_188))),additive_identity) = multiply(inverse(add(Y,X_188)),X),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(inverse(add(Y,X_188)),X)),multiply(inverse(add(Y,X_188)),X)) )],[refute_0_1632,refute_0_1635]) ).
cnf(refute_0_1637,plain,
( multiply(add(X,Y),inverse(add(Y,X_188))) != add(multiply(X,inverse(add(Y,X_188))),additive_identity)
| add(multiply(X,inverse(add(Y,X_188))),additive_identity) != multiply(inverse(add(Y,X_188)),X)
| multiply(add(X,Y),inverse(add(Y,X_188))) = multiply(inverse(add(Y,X_188)),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,Y),inverse(add(Y,X_188))),multiply(inverse(add(Y,X_188)),X)) ),[0],$fot(add(multiply(X,inverse(add(Y,X_188))),additive_identity))]]) ).
cnf(refute_0_1638,plain,
( multiply(add(X,Y),inverse(add(Y,X_188))) != add(multiply(X,inverse(add(Y,X_188))),additive_identity)
| multiply(add(X,Y),inverse(add(Y,X_188))) = multiply(inverse(add(Y,X_188)),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(add(Y,X_188))),additive_identity),multiply(inverse(add(Y,X_188)),X)) )],[refute_0_1636,refute_0_1637]) ).
cnf(refute_0_1639,plain,
multiply(add(X,Y),inverse(add(Y,X_188))) = multiply(inverse(add(Y,X_188)),X),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(Y,X_188))),add(multiply(X,inverse(add(Y,X_188))),additive_identity)) )],[refute_0_1631,refute_0_1638]) ).
cnf(refute_0_1640,plain,
multiply(add(X_258,X_256),inverse(add(X_256,X_258))) = multiply(inverse(add(X_256,X_258)),X_258),
inference(subst,[],[refute_0_1639:[bind(X,$fot(X_258)),bind(Y,$fot(X_256)),bind(X_188,$fot(X_258))]]) ).
cnf(refute_0_1641,plain,
( multiply(add(X_258,X_256),inverse(add(X_256,X_258))) != multiply(inverse(add(X_256,X_258)),X_258)
| multiply(inverse(add(X_256,X_258)),X_258) != additive_identity
| multiply(add(X_258,X_256),inverse(add(X_256,X_258))) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_258,X_256),inverse(add(X_256,X_258))))),bind(Y0,$fot(multiply(inverse(add(X_256,X_258)),X_258))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1642,plain,
( multiply(inverse(add(X_256,X_258)),X_258) != additive_identity
| multiply(add(X_258,X_256),inverse(add(X_256,X_258))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(add(X_256,X_258))),multiply(inverse(add(X_256,X_258)),X_258)) )],[refute_0_1640,refute_0_1641]) ).
cnf(refute_0_1643,plain,
multiply(add(X_258,X_256),inverse(add(X_256,X_258))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),X_258),additive_identity) )],[refute_0_1626,refute_0_1642]) ).
cnf(refute_0_1644,plain,
multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = multiply(add(X_258,X_256),inverse(add(X_256,X_258))),
inference(subst,[],[refute_0_1130:[bind(X_185,$fot(add(X_258,X_256))),bind(X_66,$fot(inverse(add(X_256,X_258))))]]) ).
cnf(refute_0_1645,plain,
( multiply(add(X_258,X_256),inverse(add(X_256,X_258))) != additive_identity
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) != multiply(add(X_258,X_256),inverse(add(X_256,X_258)))
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(add(X_256,X_258)),add(X_258,X_256)))),bind(Y0,$fot(multiply(add(X_258,X_256),inverse(add(X_256,X_258))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_1646,plain,
( multiply(add(X_258,X_256),inverse(add(X_256,X_258))) != additive_identity
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(X_258,X_256)),multiply(add(X_258,X_256),inverse(add(X_256,X_258)))) )],[refute_0_1644,refute_0_1645]) ).
cnf(refute_0_1647,plain,
multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(add(X_256,X_258))),additive_identity) )],[refute_0_1643,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) != multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))
| multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) != additive_identity
| additive_identity = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(X_258,X_256)),multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_1649,plain,
( multiply(inverse(add(X_256,X_258)),add(X_258,X_256)) != multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))
| additive_identity = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(X_258,X_256)),additive_identity) )],[refute_0_1647,refute_0_1648]) ).
cnf(refute_0_1650,plain,
additive_identity = multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_256,X_258)),add(X_258,X_256)),multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) )],[refute_0_1587,refute_0_1649]) ).
cnf(refute_0_1651,plain,
( additive_identity != multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))
| multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))]]) ).
cnf(refute_0_1652,plain,
multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))),
introduced(tautology,[refl,[$fot(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))]]) ).
cnf(refute_0_1654,plain,
( multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) != additive_identity
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) != inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = inverse(additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1655,plain,
( multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))) != additive_identity
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = inverse(additive_identity) ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) )],[refute_0_1653,refute_0_1654]) ).
cnf(refute_0_1656,plain,
inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = inverse(additive_identity),
inference(resolve,[$cnf( $equal(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))),additive_identity) )],[refute_0_1652,refute_0_1655]) ).
cnf(refute_0_1657,plain,
( inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) != inverse(additive_identity)
| inverse(additive_identity) != multiplicative_identity
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = multiplicative_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))),bind(Y0,$fot(inverse(additive_identity))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1658,plain,
( inverse(additive_identity) != multiplicative_identity
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))),inverse(additive_identity)) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(inverse(additive_identity),multiplicative_identity) )],[refute_0_1583,refute_0_1658]) ).
cnf(refute_0_1660,plain,
multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),
introduced(tautology,[refl,[$fot(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))))]]) ).
cnf(refute_0_1661,plain,
( multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))
| inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) != multiplicative_identity
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = multiply(add(X_258,X_256),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1662,plain,
( inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))) != multiplicative_identity
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = multiply(add(X_258,X_256),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = multiply(add(X_258,X_256),multiplicative_identity),
inference(resolve,[$cnf( $equal(inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258)))),multiplicative_identity) )],[refute_0_1659,refute_0_1662]) ).
cnf(refute_0_1664,plain,
( multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != multiply(add(X_258,X_256),multiplicative_identity)
| multiply(add(X_258,X_256),multiplicative_identity) != add(X_258,X_256)
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_258,X_256) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))))),bind(Y0,$fot(multiply(add(X_258,X_256),multiplicative_identity))),bind(Z0,$fot(add(X_258,X_256)))]]) ).
cnf(refute_0_1665,plain,
( multiply(add(X_258,X_256),multiplicative_identity) != add(X_258,X_256)
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_258,X_256) ),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),multiply(add(X_258,X_256),multiplicative_identity)) )],[refute_0_1663,refute_0_1664]) ).
cnf(refute_0_1666,plain,
multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) = add(X_258,X_256),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),multiplicative_identity),add(X_258,X_256)) )],[refute_0_1578,refute_0_1665]) ).
cnf(refute_0_1667,plain,
( multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != add(X_256,X_258)
| multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != add(X_258,X_256)
| add(X_258,X_256) = add(X_256,X_258) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),add(X_256,X_258)) ),[0],$fot(add(X_258,X_256))]]) ).
cnf(refute_0_1668,plain,
( multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))) != add(X_256,X_258)
| add(X_258,X_256) = add(X_256,X_258) ),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),add(X_258,X_256)) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
add(X_258,X_256) = add(X_256,X_258),
inference(resolve,[$cnf( $equal(multiply(add(X_258,X_256),inverse(multiply(multiply(X_258,X_257),inverse(add(X_256,X_258))))),add(X_256,X_258)) )],[refute_0_1573,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( add(X_258,X_256) != add(X_256,X_258)
| add(X_256,X_258) = add(X_258,X_256) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_258,X_256))),bind(Y0,$fot(add(X_256,X_258)))]]) ).
cnf(refute_0_1671,plain,
add(X_256,X_258) = add(X_258,X_256),
inference(resolve,[$cnf( $equal(add(X_258,X_256),add(X_256,X_258)) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)) = add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))),bind(X_258,$fot(inverse(multiplicative_identity)))]]) ).
cnf(refute_0_1673,plain,
add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,X_67))) = add(add(X_66,X_67),inverse(X_295)),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(X_295)),bind(X_11,$fot(add(X_66,X_67)))]]) ).
cnf(refute_0_1674,plain,
add(multiply(X_65,X_67),multiply(X_65,X_66)) = add(multiply(X_65,X_66),multiply(X_65,X_67)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_65,X_67))),bind(Y,$fot(multiply(X_65,X_66)))]]) ).
cnf(refute_0_1675,plain,
( add(multiply(X_65,X_66),multiply(X_65,X_67)) != multiply(X_65,add(X_66,X_67))
| add(multiply(X_65,X_67),multiply(X_65,X_66)) != add(multiply(X_65,X_66),multiply(X_65,X_67))
| add(multiply(X_65,X_67),multiply(X_65,X_66)) = multiply(X_65,add(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_65,X_67),multiply(X_65,X_66)),add(multiply(X_65,X_66),multiply(X_65,X_67))) ),[1],$fot(multiply(X_65,add(X_66,X_67)))]]) ).
cnf(refute_0_1676,plain,
( add(multiply(X_65,X_67),multiply(X_65,X_66)) != add(multiply(X_65,X_66),multiply(X_65,X_67))
| add(multiply(X_65,X_67),multiply(X_65,X_66)) = multiply(X_65,add(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_66),multiply(X_65,X_67)),multiply(X_65,add(X_66,X_67))) )],[refute_0_151,refute_0_1675]) ).
cnf(refute_0_1677,plain,
add(multiply(X_65,X_67),multiply(X_65,X_66)) = multiply(X_65,add(X_66,X_67)),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_67),multiply(X_65,X_66)),add(multiply(X_65,X_66),multiply(X_65,X_67))) )],[refute_0_1674,refute_0_1676]) ).
cnf(refute_0_1678,plain,
add(multiply(X_65,X_67),multiply(X_65,X_66)) = multiply(X_65,add(X_67,X_66)),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_65)),bind(Y,$fot(X_67)),bind(Z,$fot(X_66))]]) ).
cnf(refute_0_1679,plain,
( add(multiply(X_65,X_67),multiply(X_65,X_66)) != multiply(X_65,add(X_66,X_67))
| add(multiply(X_65,X_67),multiply(X_65,X_66)) != multiply(X_65,add(X_67,X_66))
| multiply(X_65,add(X_67,X_66)) = multiply(X_65,add(X_66,X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_65,X_67),multiply(X_65,X_66)),multiply(X_65,add(X_66,X_67))) ),[0],$fot(multiply(X_65,add(X_67,X_66)))]]) ).
cnf(refute_0_1680,plain,
( add(multiply(X_65,X_67),multiply(X_65,X_66)) != multiply(X_65,add(X_66,X_67))
| multiply(X_65,add(X_67,X_66)) = multiply(X_65,add(X_66,X_67)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_67),multiply(X_65,X_66)),multiply(X_65,add(X_67,X_66))) )],[refute_0_1678,refute_0_1679]) ).
cnf(refute_0_1681,plain,
multiply(X_65,add(X_67,X_66)) = multiply(X_65,add(X_66,X_67)),
inference(resolve,[$cnf( $equal(add(multiply(X_65,X_67),multiply(X_65,X_66)),multiply(X_65,add(X_66,X_67))) )],[refute_0_1677,refute_0_1680]) ).
cnf(refute_0_1682,plain,
multiply(add(X_294,X_295),add(X_67,X_66)) = multiply(add(X_294,X_295),add(X_66,X_67)),
inference(subst,[],[refute_0_1681:[bind(X_65,$fot(add(X_294,X_295)))]]) ).
cnf(refute_0_1683,plain,
( multiply(add(X_294,X_295),add(X_67,X_66)) != multiply(add(X_294,X_295),add(X_66,X_67))
| multiply(add(X_294,X_295),add(X_66,X_67)) = multiply(add(X_294,X_295),add(X_67,X_66)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_294,X_295),add(X_67,X_66)))),bind(Y0,$fot(multiply(add(X_294,X_295),add(X_66,X_67))))]]) ).
cnf(refute_0_1684,plain,
multiply(add(X_294,X_295),add(X_66,X_67)) = multiply(add(X_294,X_295),add(X_67,X_66)),
inference(resolve,[$cnf( $equal(multiply(add(X_294,X_295),add(X_67,X_66)),multiply(add(X_294,X_295),add(X_66,X_67))) )],[refute_0_1682,refute_0_1683]) ).
cnf(refute_0_1685,plain,
( multiply(add(X_294,X_295),add(X_66,X_67)) != multiply(add(X_294,X_295),add(X_67,X_66))
| add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,X_67))) != add(add(X_66,X_67),inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) = add(add(X_66,X_67),inverse(X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,X_67))),add(add(X_66,X_67),inverse(X_295))) ),[0,1],$fot(multiply(add(X_294,X_295),add(X_67,X_66)))]]) ).
cnf(refute_0_1686,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,X_67))) != add(add(X_66,X_67),inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) = add(add(X_66,X_67),inverse(X_295)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_294,X_295),add(X_66,X_67)),multiply(add(X_294,X_295),add(X_67,X_66))) )],[refute_0_1684,refute_0_1685]) ).
cnf(refute_0_1687,plain,
add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) = add(add(X_66,X_67),inverse(X_295)),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,X_67))),add(add(X_66,X_67),inverse(X_295))) )],[refute_0_1673,refute_0_1686]) ).
cnf(refute_0_1688,plain,
add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) = add(add(X_67,X_66),inverse(X_295)),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(X_295)),bind(X_11,$fot(add(X_67,X_66)))]]) ).
cnf(refute_0_1689,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) != add(add(X_66,X_67),inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) != add(add(X_67,X_66),inverse(X_295))
| add(add(X_67,X_66),inverse(X_295)) = add(add(X_66,X_67),inverse(X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))),add(add(X_66,X_67),inverse(X_295))) ),[0],$fot(add(add(X_67,X_66),inverse(X_295)))]]) ).
cnf(refute_0_1690,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))) != add(add(X_66,X_67),inverse(X_295))
| add(add(X_67,X_66),inverse(X_295)) = add(add(X_66,X_67),inverse(X_295)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))),add(add(X_67,X_66),inverse(X_295))) )],[refute_0_1688,refute_0_1689]) ).
cnf(refute_0_1691,plain,
add(add(X_67,X_66),inverse(X_295)) = add(add(X_66,X_67),inverse(X_295)),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_67,X_66))),add(add(X_66,X_67),inverse(X_295))) )],[refute_0_1687,refute_0_1690]) ).
cnf(refute_0_1692,plain,
( add(add(X_67,X_66),inverse(X_295)) != add(add(X_66,X_67),inverse(X_295))
| add(add(X_66,X_67),inverse(X_295)) = add(add(X_67,X_66),inverse(X_295)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(add(X_67,X_66),inverse(X_295)))),bind(Y0,$fot(add(add(X_66,X_67),inverse(X_295))))]]) ).
cnf(refute_0_1693,plain,
add(add(X_66,X_67),inverse(X_295)) = add(add(X_67,X_66),inverse(X_295)),
inference(resolve,[$cnf( $equal(add(add(X_67,X_66),inverse(X_295)),add(add(X_66,X_67),inverse(X_295))) )],[refute_0_1691,refute_0_1692]) ).
cnf(refute_0_1694,plain,
add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)),
inference(subst,[],[refute_0_1693:[bind(X_295,$fot(multiplicative_identity)),bind(X_66,$fot(add(X_310,inverse(X_175)))),bind(X_67,$fot(multiply(X_175,inverse(X_310))))]]) ).
cnf(refute_0_1695,plain,
( add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)) != add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))
| add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) != add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity))
| add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)))),bind(Y0,$fot(add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)))),bind(Z0,$fot(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))))]]) ).
cnf(refute_0_1696,plain,
( add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)) != add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))
| add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) ),
inference(resolve,[$cnf( $equal(add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)),add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity))) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),
inference(resolve,[$cnf( $equal(add(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),inverse(multiplicative_identity)),add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))) )],[refute_0_1672,refute_0_1696]) ).
cnf(refute_0_1698,plain,
( add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) != add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))
| add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))
| add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)))),bind(Y0,$fot(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))),bind(Z0,$fot(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))))]]) ).
cnf(refute_0_1699,plain,
( add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) != add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))
| add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
inference(resolve,[$cnf( $equal(add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)),add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))) )],[refute_0_1697,refute_0_1698]) ).
cnf(refute_0_1700,plain,
add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) )],[refute_0_1501,refute_0_1699]) ).
cnf(refute_0_1701,plain,
( add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)) != add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))
| multiplicative_identity != add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity))
| multiplicative_identity = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity))) ),[1],$fot(add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))))]]) ).
cnf(refute_0_1702,plain,
( multiplicative_identity != add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity))
| multiplicative_identity = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))) ),
inference(resolve,[$cnf( $equal(add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity)),add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175)))) )],[refute_0_1700,refute_0_1701]) ).
cnf(refute_0_1703,plain,
multiplicative_identity = add(multiply(X_175,inverse(X_310)),add(X_310,inverse(X_175))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(add(X_310,inverse(X_175)),multiply(X_175,inverse(X_310))),inverse(multiplicative_identity))) )],[refute_0_1488,refute_0_1702]) ).
cnf(refute_0_1704,plain,
multiplicative_identity = add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),
inference(subst,[],[refute_0_1703:[bind(X_175,$fot(X_349)),bind(X_310,$fot(X_350))]]) ).
cnf(refute_0_1705,plain,
( multiplicative_identity != add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349)))
| add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349)))))]]) ).
cnf(refute_0_1706,plain,
add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349)))) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
( add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != multiply(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),add(multiply(X_349,inverse(X_350)),Z))
| add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))) != multiplicative_identity
| add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) = multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)),multiply(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),add(multiply(X_349,inverse(X_350)),Z))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1708,plain,
( add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != multiply(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),add(multiply(X_349,inverse(X_350)),Z))
| add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) = multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),multiplicative_identity) )],[refute_0_1706,refute_0_1707]) ).
cnf(refute_0_1709,plain,
add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) = multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)),
inference(resolve,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)),multiply(add(multiply(X_349,inverse(X_350)),add(X_350,inverse(X_349))),add(multiply(X_349,inverse(X_350)),Z))) )],[refute_0_618,refute_0_1708]) ).
cnf(refute_0_1710,plain,
add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) = multiply(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),add(X_11,multiply(inverse(X_310),X_311))),
inference(subst,[],[refute_0_525:[bind(X_10,$fot(add(X_310,inverse(X_311)))),bind(X_12,$fot(multiply(inverse(X_310),X_311)))]]) ).
cnf(refute_0_1711,plain,
multiplicative_identity = add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),
inference(subst,[],[refute_0_1482:[bind(X_101,$fot(X_310)),bind(X_309,$fot(X_311))]]) ).
cnf(refute_0_1712,plain,
( multiplicative_identity != add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311)))
| add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311)))))]]) ).
cnf(refute_0_1713,plain,
add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311)))) )],[refute_0_1711,refute_0_1712]) ).
cnf(refute_0_1714,plain,
( add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != multiply(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))) != multiplicative_identity
| add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) = multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)),multiply(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),add(X_11,multiply(inverse(X_310),X_311)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1715,plain,
( add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != multiply(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) = multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),multiplicative_identity) )],[refute_0_1713,refute_0_1714]) ).
cnf(refute_0_1716,plain,
add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) = multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)),multiply(add(multiply(inverse(X_310),X_311),add(X_310,inverse(X_311))),add(X_11,multiply(inverse(X_310),X_311)))) )],[refute_0_1710,refute_0_1715]) ).
cnf(refute_0_1717,plain,
add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) = add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)),
inference(subst,[],[refute_0_1478:[bind(X_174,$fot(X_311)),bind(X_175,$fot(inverse(X_310))),bind(X_72,$fot(multiply(add(X_310,inverse(X_311)),X_11)))]]) ).
cnf(refute_0_1718,plain,
( add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)),multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))) ),[0],$fot(add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)))]]) ).
cnf(refute_0_1719,plain,
( add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)),add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11))) )],[refute_0_1717,refute_0_1718]) ).
cnf(refute_0_1720,plain,
multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) = add(X_11,multiply(inverse(X_310),X_311)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,multiply(inverse(X_310),X_311))))]]) ).
cnf(refute_0_1721,plain,
( multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))) != add(X_11,multiply(inverse(X_310),X_311))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) != multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = add(X_11,multiply(inverse(X_310),X_311)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)),multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))) ),[1],$fot(add(X_11,multiply(inverse(X_310),X_311)))]]) ).
cnf(refute_0_1722,plain,
( add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) != multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = add(X_11,multiply(inverse(X_310),X_311)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311))),add(X_11,multiply(inverse(X_310),X_311))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
( add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)) != multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))
| add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = add(X_11,multiply(inverse(X_310),X_311)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)),multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))) )],[refute_0_1719,refute_0_1722]) ).
cnf(refute_0_1724,plain,
add(multiply(X_311,inverse(X_310)),multiply(add(X_310,inverse(X_311)),X_11)) = add(X_11,multiply(inverse(X_310),X_311)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_310,inverse(X_311)),X_11),multiply(inverse(X_310),X_311)),multiply(multiplicative_identity,add(X_11,multiply(inverse(X_310),X_311)))) )],[refute_0_1716,refute_0_1723]) ).
cnf(refute_0_1725,plain,
add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) = add(Z,multiply(inverse(X_350),X_349)),
inference(subst,[],[refute_0_1724:[bind(X_11,$fot(Z)),bind(X_310,$fot(X_350)),bind(X_311,$fot(X_349))]]) ).
cnf(refute_0_1726,plain,
( add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))
| add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != add(Z,multiply(inverse(X_350),X_349))
| add(Z,multiply(inverse(X_350),X_349)) = multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)),multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))) ),[0],$fot(add(Z,multiply(inverse(X_350),X_349)))]]) ).
cnf(refute_0_1727,plain,
( add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))
| add(Z,multiply(inverse(X_350),X_349)) = multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)),add(Z,multiply(inverse(X_350),X_349))) )],[refute_0_1725,refute_0_1726]) ).
cnf(refute_0_1728,plain,
multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) = add(multiply(X_349,inverse(X_350)),Z),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(multiply(X_349,inverse(X_350)),Z)))]]) ).
cnf(refute_0_1729,plain,
( multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)) != add(multiply(X_349,inverse(X_350)),Z)
| add(Z,multiply(inverse(X_350),X_349)) != multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))
| add(Z,multiply(inverse(X_350),X_349)) = add(multiply(X_349,inverse(X_350)),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(inverse(X_350),X_349)),multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))) ),[1],$fot(add(multiply(X_349,inverse(X_350)),Z))]]) ).
cnf(refute_0_1730,plain,
( add(Z,multiply(inverse(X_350),X_349)) != multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))
| add(Z,multiply(inverse(X_350),X_349)) = add(multiply(X_349,inverse(X_350)),Z) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z)),add(multiply(X_349,inverse(X_350)),Z)) )],[refute_0_1728,refute_0_1729]) ).
cnf(refute_0_1731,plain,
( add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)) != multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))
| add(Z,multiply(inverse(X_350),X_349)) = add(multiply(X_349,inverse(X_350)),Z) ),
inference(resolve,[$cnf( $equal(add(Z,multiply(inverse(X_350),X_349)),multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))) )],[refute_0_1727,refute_0_1730]) ).
cnf(refute_0_1732,plain,
add(Z,multiply(inverse(X_350),X_349)) = add(multiply(X_349,inverse(X_350)),Z),
inference(resolve,[$cnf( $equal(add(multiply(X_349,inverse(X_350)),multiply(add(X_350,inverse(X_349)),Z)),multiply(multiplicative_identity,add(multiply(X_349,inverse(X_350)),Z))) )],[refute_0_1709,refute_0_1731]) ).
cnf(refute_0_1733,plain,
( add(Z,multiply(inverse(X_350),X_349)) != add(multiply(X_349,inverse(X_350)),Z)
| add(multiply(X_349,inverse(X_350)),Z) = add(Z,multiply(inverse(X_350),X_349)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Z,multiply(inverse(X_350),X_349)))),bind(Y0,$fot(add(multiply(X_349,inverse(X_350)),Z)))]]) ).
cnf(refute_0_1734,plain,
add(multiply(X_349,inverse(X_350)),Z) = add(Z,multiply(inverse(X_350),X_349)),
inference(resolve,[$cnf( $equal(add(Z,multiply(inverse(X_350),X_349)),add(multiply(X_349,inverse(X_350)),Z)) )],[refute_0_1732,refute_0_1733]) ).
cnf(refute_0_1735,plain,
add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) = add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)),
inference(subst,[],[refute_0_1734:[bind(Z,$fot(X_352)),bind(X_349,$fot(X_351)),bind(X_350,$fot(multiply(Y,X_352)))]]) ).
cnf(refute_0_1736,plain,
( add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) != add(X_352,multiply(inverse(multiply(Y,X_352)),X_351))
| add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(add(X_352,multiply(Y,X_352)),X_351) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_351,inverse(multiply(Y,X_352))),X_352),add(add(X_352,multiply(Y,X_352)),X_351)) ),[0],$fot(add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)))]]) ).
cnf(refute_0_1737,plain,
( add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(add(X_352,multiply(Y,X_352)),X_351) ),
inference(resolve,[$cnf( $equal(add(multiply(X_351,inverse(multiply(Y,X_352))),X_352),add(X_352,multiply(inverse(multiply(Y,X_352)),X_351))) )],[refute_0_1735,refute_0_1736]) ).
cnf(refute_0_1738,plain,
add(add(X_352,multiply(Y,X_352)),X_351) = add(add(X_352,multiply(Y,X_352)),X_351),
introduced(tautology,[refl,[$fot(add(add(X_352,multiply(Y,X_352)),X_351))]]) ).
cnf(refute_0_1739,plain,
( add(X_352,multiply(Y,X_352)) != X_352
| add(add(X_352,multiply(Y,X_352)),X_351) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(add(X_352,multiply(Y,X_352)),X_351) = add(X_352,X_351) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_352,multiply(Y,X_352)),X_351),add(add(X_352,multiply(Y,X_352)),X_351)) ),[1,0],$fot(X_352)]]) ).
cnf(refute_0_1740,plain,
( add(X_352,multiply(Y,X_352)) != X_352
| add(add(X_352,multiply(Y,X_352)),X_351) = add(X_352,X_351) ),
inference(resolve,[$cnf( $equal(add(add(X_352,multiply(Y,X_352)),X_351),add(add(X_352,multiply(Y,X_352)),X_351)) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
add(add(X_352,multiply(Y,X_352)),X_351) = add(X_352,X_351),
inference(resolve,[$cnf( $equal(add(X_352,multiply(Y,X_352)),X_352) )],[refute_0_614,refute_0_1740]) ).
cnf(refute_0_1742,plain,
( add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(add(X_352,multiply(Y,X_352)),X_351) != add(X_352,X_351)
| add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(X_352,X_351) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)),add(X_352,X_351)) ),[0],$fot(add(add(X_352,multiply(Y,X_352)),X_351))]]) ).
cnf(refute_0_1743,plain,
( add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(X_352,X_351) ),
inference(resolve,[$cnf( $equal(add(add(X_352,multiply(Y,X_352)),X_351),add(X_352,X_351)) )],[refute_0_1741,refute_0_1742]) ).
cnf(refute_0_1744,plain,
( add(multiply(X_351,inverse(multiply(Y,X_352))),X_352) != add(add(X_352,multiply(Y,X_352)),X_351)
| add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(X_352,X_351) ),
inference(resolve,[$cnf( $equal(add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)),add(add(X_352,multiply(Y,X_352)),X_351)) )],[refute_0_1737,refute_0_1743]) ).
cnf(refute_0_1745,plain,
add(X_352,multiply(inverse(multiply(Y,X_352)),X_351)) = add(X_352,X_351),
inference(resolve,[$cnf( $equal(add(multiply(X_351,inverse(multiply(Y,X_352))),X_352),add(add(X_352,multiply(Y,X_352)),X_351)) )],[refute_0_617,refute_0_1744]) ).
cnf(refute_0_1746,plain,
add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_87,X_434),
inference(subst,[],[refute_0_1745:[bind(Y,$fot(X_86)),bind(X_351,$fot(X_434)),bind(X_352,$fot(X_87))]]) ).
cnf(refute_0_1747,plain,
add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),
introduced(tautology,[refl,[$fot(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))))]]) ).
cnf(refute_0_1748,plain,
( add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_87,X_434)
| add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) != add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))) ),[1,1],$fot(add(X_87,X_434))]]) ).
cnf(refute_0_1749,plain,
( add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_87,X_434)
| add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)) ),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_1747,refute_0_1748]) ).
cnf(refute_0_1750,plain,
add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)),
inference(resolve,[$cnf( $equal(add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)),add(X_87,X_434)) )],[refute_0_1746,refute_0_1749]) ).
cnf(refute_0_1751,plain,
add(X_30,multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))),
inference(subst,[],[refute_0_627:[bind(X_32,$fot(multiply(X_307,add(X_305,inverse(X_30)))))]]) ).
cnf(refute_0_1752,plain,
multiply(inverse(X_30),X_307) = multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30)))),
inference(subst,[],[refute_0_1242:[bind(X_59,$fot(X_305)),bind(X_60,$fot(inverse(X_30))),bind(X_61,$fot(X_307))]]) ).
cnf(refute_0_1753,plain,
( multiply(inverse(X_30),X_307) != multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))
| multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30)))) = multiply(inverse(X_30),X_307) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(inverse(X_30),X_307))),bind(Y0,$fot(multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))))]]) ).
cnf(refute_0_1754,plain,
multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30)))) = multiply(inverse(X_30),X_307),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),X_307),multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))) )],[refute_0_1752,refute_0_1753]) ).
cnf(refute_0_1755,plain,
( multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30)))) != multiply(inverse(X_30),X_307)
| add(X_30,multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))) != add(X_30,multiply(X_307,add(X_305,inverse(X_30))))
| add(X_30,multiply(inverse(X_30),X_307)) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))),add(X_30,multiply(X_307,add(X_305,inverse(X_30))))) ),[0,1],$fot(multiply(inverse(X_30),X_307))]]) ).
cnf(refute_0_1756,plain,
( add(X_30,multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))) != add(X_30,multiply(X_307,add(X_305,inverse(X_30))))
| add(X_30,multiply(inverse(X_30),X_307)) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30)))),multiply(inverse(X_30),X_307)) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
add(X_30,multiply(inverse(X_30),X_307)) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),multiply(X_307,add(X_305,inverse(X_30))))),add(X_30,multiply(X_307,add(X_305,inverse(X_30))))) )],[refute_0_1751,refute_0_1756]) ).
cnf(refute_0_1758,plain,
add(X_30,multiply(inverse(X_30),X_307)) = add(X_30,X_307),
inference(subst,[],[refute_0_627:[bind(X_32,$fot(X_307))]]) ).
cnf(refute_0_1759,plain,
( add(X_30,multiply(inverse(X_30),X_307)) != add(X_30,X_307)
| add(X_30,multiply(inverse(X_30),X_307)) != add(X_30,multiply(X_307,add(X_305,inverse(X_30))))
| add(X_30,X_307) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_307)),add(X_30,multiply(X_307,add(X_305,inverse(X_30))))) ),[0],$fot(add(X_30,X_307))]]) ).
cnf(refute_0_1760,plain,
( add(X_30,multiply(inverse(X_30),X_307)) != add(X_30,multiply(X_307,add(X_305,inverse(X_30))))
| add(X_30,X_307) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_307)),add(X_30,X_307)) )],[refute_0_1758,refute_0_1759]) ).
cnf(refute_0_1761,plain,
add(X_30,X_307) = add(X_30,multiply(X_307,add(X_305,inverse(X_30)))),
inference(resolve,[$cnf( $equal(add(X_30,multiply(inverse(X_30),X_307)),add(X_30,multiply(X_307,add(X_305,inverse(X_30))))) )],[refute_0_1757,refute_0_1760]) ).
cnf(refute_0_1762,plain,
add(X_30,add(X_426,X_425)) = add(X_30,multiply(add(X_426,X_425),add(X_305,inverse(X_30)))),
inference(subst,[],[refute_0_1761:[bind(X_307,$fot(add(X_426,X_425)))]]) ).
cnf(refute_0_1763,plain,
add(multiply(X_60,X_61),multiply(X_59,X_61)) = add(multiply(X_59,X_61),multiply(X_60,X_61)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_60,X_61))),bind(Y,$fot(multiply(X_59,X_61)))]]) ).
cnf(refute_0_1764,plain,
( add(multiply(X_59,X_61),multiply(X_60,X_61)) != multiply(add(X_59,X_60),X_61)
| add(multiply(X_60,X_61),multiply(X_59,X_61)) != add(multiply(X_59,X_61),multiply(X_60,X_61))
| add(multiply(X_60,X_61),multiply(X_59,X_61)) = multiply(add(X_59,X_60),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_60,X_61),multiply(X_59,X_61)),add(multiply(X_59,X_61),multiply(X_60,X_61))) ),[1],$fot(multiply(add(X_59,X_60),X_61))]]) ).
cnf(refute_0_1765,plain,
( add(multiply(X_60,X_61),multiply(X_59,X_61)) != add(multiply(X_59,X_61),multiply(X_60,X_61))
| add(multiply(X_60,X_61),multiply(X_59,X_61)) = multiply(add(X_59,X_60),X_61) ),
inference(resolve,[$cnf( $equal(add(multiply(X_59,X_61),multiply(X_60,X_61)),multiply(add(X_59,X_60),X_61)) )],[refute_0_720,refute_0_1764]) ).
cnf(refute_0_1766,plain,
add(multiply(X_60,X_61),multiply(X_59,X_61)) = multiply(add(X_59,X_60),X_61),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(X_59,X_61)),add(multiply(X_59,X_61),multiply(X_60,X_61))) )],[refute_0_1763,refute_0_1765]) ).
cnf(refute_0_1767,plain,
add(multiply(X_60,X_61),multiply(X_59,X_61)) = multiply(add(X_60,X_59),X_61),
inference(subst,[],[refute_0_809:[bind(X,$fot(X_60)),bind(Y,$fot(X_59)),bind(Z,$fot(X_61))]]) ).
cnf(refute_0_1768,plain,
( add(multiply(X_60,X_61),multiply(X_59,X_61)) != multiply(add(X_59,X_60),X_61)
| add(multiply(X_60,X_61),multiply(X_59,X_61)) != multiply(add(X_60,X_59),X_61)
| multiply(add(X_60,X_59),X_61) = multiply(add(X_59,X_60),X_61) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_60,X_61),multiply(X_59,X_61)),multiply(add(X_59,X_60),X_61)) ),[0],$fot(multiply(add(X_60,X_59),X_61))]]) ).
cnf(refute_0_1769,plain,
( add(multiply(X_60,X_61),multiply(X_59,X_61)) != multiply(add(X_59,X_60),X_61)
| multiply(add(X_60,X_59),X_61) = multiply(add(X_59,X_60),X_61) ),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(X_59,X_61)),multiply(add(X_60,X_59),X_61)) )],[refute_0_1767,refute_0_1768]) ).
cnf(refute_0_1770,plain,
multiply(add(X_60,X_59),X_61) = multiply(add(X_59,X_60),X_61),
inference(resolve,[$cnf( $equal(add(multiply(X_60,X_61),multiply(X_59,X_61)),multiply(add(X_59,X_60),X_61)) )],[refute_0_1766,refute_0_1769]) ).
cnf(refute_0_1771,plain,
multiply(add(X_426,X_425),add(X_305,inverse(X_30))) = multiply(add(X_425,X_426),add(X_305,inverse(X_30))),
inference(subst,[],[refute_0_1770:[bind(X_59,$fot(X_425)),bind(X_60,$fot(X_426)),bind(X_61,$fot(add(X_305,inverse(X_30))))]]) ).
cnf(refute_0_1772,plain,
( multiply(add(X_426,X_425),add(X_305,inverse(X_30))) != multiply(add(X_425,X_426),add(X_305,inverse(X_30)))
| add(X_30,add(X_426,X_425)) != add(X_30,multiply(add(X_426,X_425),add(X_305,inverse(X_30))))
| add(X_30,add(X_426,X_425)) = add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,add(X_426,X_425)),add(X_30,multiply(add(X_426,X_425),add(X_305,inverse(X_30))))) ),[1,1],$fot(multiply(add(X_425,X_426),add(X_305,inverse(X_30))))]]) ).
cnf(refute_0_1773,plain,
( add(X_30,add(X_426,X_425)) != add(X_30,multiply(add(X_426,X_425),add(X_305,inverse(X_30))))
| add(X_30,add(X_426,X_425)) = add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_426,X_425),add(X_305,inverse(X_30))),multiply(add(X_425,X_426),add(X_305,inverse(X_30)))) )],[refute_0_1771,refute_0_1772]) ).
cnf(refute_0_1774,plain,
add(X_30,add(X_426,X_425)) = add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))),
inference(resolve,[$cnf( $equal(add(X_30,add(X_426,X_425)),add(X_30,multiply(add(X_426,X_425),add(X_305,inverse(X_30))))) )],[refute_0_1762,refute_0_1773]) ).
cnf(refute_0_1775,plain,
( add(X_30,X_307) != add(X_30,multiply(X_307,add(X_305,inverse(X_30))))
| add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) = add(X_30,X_307) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_30,X_307))),bind(Y0,$fot(add(X_30,multiply(X_307,add(X_305,inverse(X_30))))))]]) ).
cnf(refute_0_1776,plain,
add(X_30,multiply(X_307,add(X_305,inverse(X_30)))) = add(X_30,X_307),
inference(resolve,[$cnf( $equal(add(X_30,X_307),add(X_30,multiply(X_307,add(X_305,inverse(X_30))))) )],[refute_0_1761,refute_0_1775]) ).
cnf(refute_0_1777,plain,
add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))) = add(X_30,add(X_425,X_426)),
inference(subst,[],[refute_0_1776:[bind(X_307,$fot(add(X_425,X_426)))]]) ).
cnf(refute_0_1778,plain,
( add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))) != add(X_30,add(X_425,X_426))
| add(X_30,add(X_426,X_425)) != add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30))))
| add(X_30,add(X_426,X_425)) = add(X_30,add(X_425,X_426)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,add(X_426,X_425)),add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30))))) ),[1],$fot(add(X_30,add(X_425,X_426)))]]) ).
cnf(refute_0_1779,plain,
( add(X_30,add(X_426,X_425)) != add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30))))
| add(X_30,add(X_426,X_425)) = add(X_30,add(X_425,X_426)) ),
inference(resolve,[$cnf( $equal(add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30)))),add(X_30,add(X_425,X_426))) )],[refute_0_1777,refute_0_1778]) ).
cnf(refute_0_1780,plain,
add(X_30,add(X_426,X_425)) = add(X_30,add(X_425,X_426)),
inference(resolve,[$cnf( $equal(add(X_30,add(X_426,X_425)),add(X_30,multiply(add(X_425,X_426),add(X_305,inverse(X_30))))) )],[refute_0_1774,refute_0_1779]) ).
cnf(refute_0_1781,plain,
( add(X_30,add(X_426,X_425)) != add(X_30,add(X_425,X_426))
| add(X_30,add(X_425,X_426)) = add(X_30,add(X_426,X_425)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_30,add(X_426,X_425)))),bind(Y0,$fot(add(X_30,add(X_425,X_426))))]]) ).
cnf(refute_0_1782,plain,
add(X_30,add(X_425,X_426)) = add(X_30,add(X_426,X_425)),
inference(resolve,[$cnf( $equal(add(X_30,add(X_426,X_425)),add(X_30,add(X_425,X_426))) )],[refute_0_1780,refute_0_1781]) ).
cnf(refute_0_1783,plain,
add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)) = add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),
inference(subst,[],[refute_0_1782:[bind(X_30,$fot(X_88)),bind(X_425,$fot(multiply(inverse(multiply(X_86,X_87)),X_434))),bind(X_426,$fot(X_87))]]) ).
cnf(refute_0_1784,plain,
add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(inverse(X_60),add(X_59,X_60)))) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))),
inference(subst,[],[refute_0_28:[bind(X_30,$fot(X_432)),bind(X_31,$fot(inverse(X_60))),bind(X_32,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_1785,plain,
( multiply(inverse(X_60),add(X_59,X_60)) != multiply(X_59,inverse(X_60))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(inverse(X_60),add(X_59,X_60)))) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(inverse(X_60),add(X_59,X_60)))),add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))) ),[0,1,1],$fot(multiply(X_59,inverse(X_60)))]]) ).
cnf(refute_0_1786,plain,
( add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(inverse(X_60),add(X_59,X_60)))) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_60),add(X_59,X_60)),multiply(X_59,inverse(X_60))) )],[refute_0_919,refute_0_1785]) ).
cnf(refute_0_1787,plain,
add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(inverse(X_60),add(X_59,X_60)))),add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))) )],[refute_0_1784,refute_0_1786]) ).
cnf(refute_0_1788,plain,
inverse(inverse(X_60)) = X_60,
inference(subst,[],[refute_0_674:[bind(X_40,$fot(X_60))]]) ).
cnf(refute_0_1789,plain,
add(inverse(inverse(X_60)),add(X_432,X_59)) = add(inverse(inverse(X_60)),add(X_432,X_59)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_60)),add(X_432,X_59)))]]) ).
cnf(refute_0_1790,plain,
( add(inverse(inverse(X_60)),add(X_432,X_59)) != add(inverse(inverse(X_60)),add(X_432,X_59))
| inverse(inverse(X_60)) != X_60
| add(inverse(inverse(X_60)),add(X_432,X_59)) = add(X_60,add(X_432,X_59)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,X_59)),add(inverse(inverse(X_60)),add(X_432,X_59))) ),[1,0],$fot(X_60)]]) ).
cnf(refute_0_1791,plain,
( inverse(inverse(X_60)) != X_60
| add(inverse(inverse(X_60)),add(X_432,X_59)) = add(X_60,add(X_432,X_59)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,X_59)),add(inverse(inverse(X_60)),add(X_432,X_59))) )],[refute_0_1789,refute_0_1790]) ).
cnf(refute_0_1792,plain,
add(inverse(inverse(X_60)),add(X_432,X_59)) = add(X_60,add(X_432,X_59)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),X_60) )],[refute_0_1788,refute_0_1791]) ).
cnf(refute_0_1793,plain,
add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434))),
inference(subst,[],[refute_0_627:[bind(X_30,$fot(inverse(add(X_432,X_433)))),bind(X_32,$fot(add(X_432,multiply(X_433,X_434))))]]) ).
cnf(refute_0_1794,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434))) = add(add(X_432,X_434),inverse(add(X_432,X_433))),
inference(subst,[],[refute_0_28:[bind(X_30,$fot(X_432)),bind(X_31,$fot(X_433)),bind(X_32,$fot(X_434))]]) ).
cnf(refute_0_1795,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434)))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434))) != add(add(X_432,X_434),inverse(add(X_432,X_433)))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(add(X_432,X_434),inverse(add(X_432,X_433))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),add(add(X_432,X_434),inverse(add(X_432,X_433)))) ),[0],$fot(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434))))]]) ).
cnf(refute_0_1796,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434)))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(add(X_432,X_434),inverse(add(X_432,X_433))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434))),add(add(X_432,X_434),inverse(add(X_432,X_433)))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(add(X_432,X_434),inverse(add(X_432,X_433))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_434)))) )],[refute_0_1793,refute_0_1796]) ).
cnf(refute_0_1798,plain,
add(inverse(X_295),multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294))))) = add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(X_295)),bind(X_11,$fot(inverse(multiply(X_295,inverse(X_294)))))]]) ).
cnf(refute_0_1799,plain,
multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294)))) = X_294,
inference(subst,[],[refute_0_1523:[bind(X_222,$fot(X_294)),bind(X_31,$fot(X_295))]]) ).
cnf(refute_0_1800,plain,
( multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294)))) != X_294
| add(inverse(X_295),multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294))))) != add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))
| add(inverse(X_295),X_294) = add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294))))),add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))) ),[0,1],$fot(X_294)]]) ).
cnf(refute_0_1801,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294))))) != add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))
| add(inverse(X_295),X_294) = add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294)))),X_294) )],[refute_0_1799,refute_0_1800]) ).
cnf(refute_0_1802,plain,
add(inverse(X_295),X_294) = add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),inverse(multiply(X_295,inverse(X_294))))),add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))) )],[refute_0_1798,refute_0_1801]) ).
cnf(refute_0_1803,plain,
add(inverse(multiply(X_226,X_227)),multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226)))) = inverse(multiply(X_226,X_227)),
inference(subst,[],[refute_0_586:[bind(Y,$fot(inverse(multiply(X_226,X_227)))),bind(Z,$fot(add(X_227,inverse(X_226))))]]) ).
cnf(refute_0_1804,plain,
( multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) != inverse(X_226)
| add(inverse(multiply(X_226,X_227)),multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226)))) != inverse(multiply(X_226,X_227))
| add(inverse(multiply(X_226,X_227)),inverse(X_226)) = inverse(multiply(X_226,X_227)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_226,X_227)),multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226)))),inverse(multiply(X_226,X_227))) ),[0,1],$fot(inverse(X_226))]]) ).
cnf(refute_0_1805,plain,
( add(inverse(multiply(X_226,X_227)),multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226)))) != inverse(multiply(X_226,X_227))
| add(inverse(multiply(X_226,X_227)),inverse(X_226)) = inverse(multiply(X_226,X_227)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))),inverse(X_226)) )],[refute_0_1324,refute_0_1804]) ).
cnf(refute_0_1806,plain,
add(inverse(multiply(X_226,X_227)),inverse(X_226)) = inverse(multiply(X_226,X_227)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_226,X_227)),multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226)))),inverse(multiply(X_226,X_227))) )],[refute_0_1803,refute_0_1805]) ).
cnf(refute_0_1807,plain,
add(X_138,X_139) = add(X_139,X_138),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_138)),bind(Y,$fot(X_139))]]) ).
cnf(refute_0_1808,plain,
add(inverse(multiply(X_226,X_227)),inverse(X_226)) = add(inverse(X_226),inverse(multiply(X_226,X_227))),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(inverse(multiply(X_226,X_227)))),bind(X_139,$fot(inverse(X_226)))]]) ).
cnf(refute_0_1809,plain,
( add(inverse(multiply(X_226,X_227)),inverse(X_226)) != add(inverse(X_226),inverse(multiply(X_226,X_227)))
| add(inverse(multiply(X_226,X_227)),inverse(X_226)) != inverse(multiply(X_226,X_227))
| add(inverse(X_226),inverse(multiply(X_226,X_227))) = inverse(multiply(X_226,X_227)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_226,X_227)),inverse(X_226)),inverse(multiply(X_226,X_227))) ),[0],$fot(add(inverse(X_226),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1810,plain,
( add(inverse(multiply(X_226,X_227)),inverse(X_226)) != inverse(multiply(X_226,X_227))
| add(inverse(X_226),inverse(multiply(X_226,X_227))) = inverse(multiply(X_226,X_227)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_226,X_227)),inverse(X_226)),add(inverse(X_226),inverse(multiply(X_226,X_227)))) )],[refute_0_1808,refute_0_1809]) ).
cnf(refute_0_1811,plain,
add(inverse(X_226),inverse(multiply(X_226,X_227))) = inverse(multiply(X_226,X_227)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_226,X_227)),inverse(X_226)),inverse(multiply(X_226,X_227))) )],[refute_0_1806,refute_0_1810]) ).
cnf(refute_0_1812,plain,
add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))) = inverse(multiply(X_295,inverse(X_294))),
inference(subst,[],[refute_0_1811:[bind(X_226,$fot(X_295)),bind(X_227,$fot(inverse(X_294)))]]) ).
cnf(refute_0_1813,plain,
add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) = add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(inverse(multiply(X_295,inverse(X_294))))),bind(X_258,$fot(inverse(X_295)))]]) ).
cnf(refute_0_1814,plain,
( add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))) != inverse(multiply(X_295,inverse(X_294)))
| add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) != add(inverse(X_295),inverse(multiply(X_295,inverse(X_294))))
| add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) = inverse(multiply(X_295,inverse(X_294))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)))),bind(Y0,$fot(add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))))),bind(Z0,$fot(inverse(multiply(X_295,inverse(X_294)))))]]) ).
cnf(refute_0_1815,plain,
( add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))) != inverse(multiply(X_295,inverse(X_294)))
| add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) = inverse(multiply(X_295,inverse(X_294))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)),add(inverse(X_295),inverse(multiply(X_295,inverse(X_294))))) )],[refute_0_1813,refute_0_1814]) ).
cnf(refute_0_1816,plain,
add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) = inverse(multiply(X_295,inverse(X_294))),
inference(resolve,[$cnf( $equal(add(inverse(X_295),inverse(multiply(X_295,inverse(X_294)))),inverse(multiply(X_295,inverse(X_294)))) )],[refute_0_1812,refute_0_1815]) ).
cnf(refute_0_1817,plain,
( add(inverse(X_295),X_294) != add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))
| add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)) != inverse(multiply(X_295,inverse(X_294)))
| add(inverse(X_295),X_294) = inverse(multiply(X_295,inverse(X_294))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(inverse(X_295),X_294),inverse(multiply(X_295,inverse(X_294)))) ),[0],$fot(add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)))]]) ).
cnf(refute_0_1818,plain,
( add(inverse(X_295),X_294) != add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))
| add(inverse(X_295),X_294) = inverse(multiply(X_295,inverse(X_294))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295)),inverse(multiply(X_295,inverse(X_294)))) )],[refute_0_1816,refute_0_1817]) ).
cnf(refute_0_1819,plain,
add(inverse(X_295),X_294) = inverse(multiply(X_295,inverse(X_294))),
inference(resolve,[$cnf( $equal(add(inverse(X_295),X_294),add(inverse(multiply(X_295,inverse(X_294))),inverse(X_295))) )],[refute_0_1802,refute_0_1818]) ).
cnf(refute_0_1820,plain,
( add(inverse(X_295),X_294) != inverse(multiply(X_295,inverse(X_294)))
| inverse(multiply(X_295,inverse(X_294))) = add(inverse(X_295),X_294) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(X_295),X_294))),bind(Y0,$fot(inverse(multiply(X_295,inverse(X_294)))))]]) ).
cnf(refute_0_1821,plain,
inverse(multiply(X_295,inverse(X_294))) = add(inverse(X_295),X_294),
inference(resolve,[$cnf( $equal(add(inverse(X_295),X_294),inverse(multiply(X_295,inverse(X_294)))) )],[refute_0_1819,refute_0_1820]) ).
cnf(refute_0_1822,plain,
inverse(multiply(X_433,inverse(add(X_432,X_434)))) = add(inverse(X_433),add(X_432,X_434)),
inference(subst,[],[refute_0_1821:[bind(X_294,$fot(add(X_432,X_434))),bind(X_295,$fot(X_433))]]) ).
cnf(refute_0_1823,plain,
inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(add(X,Y),inverse(multiply(add(X,Y),add(X,Z)))),
inference(subst,[],[refute_0_1392:[bind(X_203,$fot(add(X,Z))),bind(X_40,$fot(add(X,Y)))]]) ).
cnf(refute_0_1824,plain,
( multiply(add(X,Y),add(X,Z)) != add(X,multiply(Y,Z))
| inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(add(X,Y),inverse(multiply(add(X,Y),add(X,Z))))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(add(X,Y),inverse(multiply(add(X,Y),add(X,Z))))) ),[1,1,0],$fot(add(X,multiply(Y,Z)))]]) ).
cnf(refute_0_1825,plain,
( inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(add(X,Y),inverse(multiply(add(X,Y),add(X,Z))))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,Z)),add(X,multiply(Y,Z))) )],[refute_0_186,refute_0_1824]) ).
cnf(refute_0_1826,plain,
inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(add(X,Y),inverse(multiply(add(X,Y),add(X,Z))))) )],[refute_0_1823,refute_0_1825]) ).
cnf(refute_0_1827,plain,
multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))) = multiply(Y,inverse(add(X,multiply(Y,Z)))),
inference(subst,[],[refute_0_1617:[bind(X_188,$fot(multiply(Y,Z)))]]) ).
cnf(refute_0_1828,plain,
( multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))) != multiply(Y,inverse(add(X,multiply(Y,Z))))
| inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(add(X,Y),inverse(add(X,multiply(Y,Z))))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(add(X,Y),inverse(add(X,multiply(Y,Z))))) ),[1],$fot(multiply(Y,inverse(add(X,multiply(Y,Z)))))]]) ).
cnf(refute_0_1829,plain,
( inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(add(X,Y),inverse(add(X,multiply(Y,Z))))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X,multiply(Y,Z)))),multiply(Y,inverse(add(X,multiply(Y,Z))))) )],[refute_0_1827,refute_0_1828]) ).
cnf(refute_0_1830,plain,
inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(add(X,Y),inverse(add(X,multiply(Y,Z))))) )],[refute_0_1826,refute_0_1829]) ).
cnf(refute_0_1831,plain,
multiply(add(X,Y),inverse(add(X,Z))) = multiply(Y,inverse(add(X,Z))),
inference(subst,[],[refute_0_1617:[bind(X_188,$fot(Z))]]) ).
cnf(refute_0_1832,plain,
inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(add(X,Y),inverse(add(X,Z))),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(add(X,Z))),bind(X_306,$fot(add(X,Y)))]]) ).
cnf(refute_0_1833,plain,
( multiply(add(X,Y),inverse(add(X,Z))) != multiply(Y,inverse(add(X,Z)))
| inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(add(X,Y),inverse(add(X,Z)))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,Z))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(add(inverse(add(X,Y)),add(X,Z))))),bind(Y0,$fot(multiply(add(X,Y),inverse(add(X,Z))))),bind(Z0,$fot(multiply(Y,inverse(add(X,Z)))))]]) ).
cnf(refute_0_1834,plain,
( multiply(add(X,Y),inverse(add(X,Z))) != multiply(Y,inverse(add(X,Z)))
| inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,Z))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(add(X,Y),inverse(add(X,Z)))) )],[refute_0_1832,refute_0_1833]) ).
cnf(refute_0_1835,plain,
inverse(add(inverse(add(X,Y)),add(X,Z))) = multiply(Y,inverse(add(X,Z))),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X,Z))),multiply(Y,inverse(add(X,Z)))) )],[refute_0_1831,refute_0_1834]) ).
cnf(refute_0_1836,plain,
( inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(Y,inverse(add(X,Z)))
| inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(Y,inverse(add(X,multiply(Y,Z))))
| multiply(Y,inverse(add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(Y,inverse(add(X,multiply(Y,Z))))) ),[0],$fot(multiply(Y,inverse(add(X,Z))))]]) ).
cnf(refute_0_1837,plain,
( inverse(add(inverse(add(X,Y)),add(X,Z))) != multiply(Y,inverse(add(X,multiply(Y,Z))))
| multiply(Y,inverse(add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(Y,inverse(add(X,Z)))) )],[refute_0_1835,refute_0_1836]) ).
cnf(refute_0_1838,plain,
multiply(Y,inverse(add(X,Z))) = multiply(Y,inverse(add(X,multiply(Y,Z)))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X,Y)),add(X,Z))),multiply(Y,inverse(add(X,multiply(Y,Z))))) )],[refute_0_1830,refute_0_1837]) ).
cnf(refute_0_1839,plain,
( multiply(Y,inverse(add(X,Z))) != multiply(Y,inverse(add(X,multiply(Y,Z))))
| multiply(Y,inverse(add(X,multiply(Y,Z)))) = multiply(Y,inverse(add(X,Z))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,inverse(add(X,Z))))),bind(Y0,$fot(multiply(Y,inverse(add(X,multiply(Y,Z))))))]]) ).
cnf(refute_0_1840,plain,
multiply(Y,inverse(add(X,multiply(Y,Z)))) = multiply(Y,inverse(add(X,Z))),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(add(X,Z))),multiply(Y,inverse(add(X,multiply(Y,Z))))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))) = multiply(X_433,inverse(add(X_432,X_434))),
inference(subst,[],[refute_0_1840:[bind(X,$fot(X_432)),bind(Y,$fot(X_433)),bind(Z,$fot(X_434))]]) ).
cnf(refute_0_1842,plain,
multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) = multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))),
inference(subst,[],[refute_0_1617:[bind(X,$fot(X_432)),bind(Y,$fot(X_433)),bind(X_188,$fot(multiply(X_433,X_434)))]]) ).
cnf(refute_0_1843,plain,
( multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))) != multiply(X_433,inverse(add(X_432,X_434)))
| multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) != multiply(X_433,inverse(add(X_432,multiply(X_433,X_434))))
| multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) = multiply(X_433,inverse(add(X_432,X_434))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))))),bind(Y0,$fot(multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))))),bind(Z0,$fot(multiply(X_433,inverse(add(X_432,X_434)))))]]) ).
cnf(refute_0_1844,plain,
( multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))) != multiply(X_433,inverse(add(X_432,X_434)))
| multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) = multiply(X_433,inverse(add(X_432,X_434))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))),multiply(X_433,inverse(add(X_432,multiply(X_433,X_434))))) )],[refute_0_1842,refute_0_1843]) ).
cnf(refute_0_1845,plain,
multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) = multiply(X_433,inverse(add(X_432,X_434))),
inference(resolve,[$cnf( $equal(multiply(X_433,inverse(add(X_432,multiply(X_433,X_434)))),multiply(X_433,inverse(add(X_432,X_434)))) )],[refute_0_1841,refute_0_1844]) ).
cnf(refute_0_1846,plain,
multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) = multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(add(X_432,X_433))),bind(X_67,$fot(inverse(add(X_432,multiply(X_433,X_434)))))]]) ).
cnf(refute_0_1847,plain,
( multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) != multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434))))
| multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) != multiply(X_433,inverse(add(X_432,X_434)))
| multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) = multiply(X_433,inverse(add(X_432,X_434))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))),bind(Y0,$fot(multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))))),bind(Z0,$fot(multiply(X_433,inverse(add(X_432,X_434)))))]]) ).
cnf(refute_0_1848,plain,
( multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))) != multiply(X_433,inverse(add(X_432,X_434)))
| multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) = multiply(X_433,inverse(add(X_432,X_434))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))),multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434))))) )],[refute_0_1846,refute_0_1847]) ).
cnf(refute_0_1849,plain,
multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) = multiply(X_433,inverse(add(X_432,X_434))),
inference(resolve,[$cnf( $equal(multiply(add(X_432,X_433),inverse(add(X_432,multiply(X_433,X_434)))),multiply(X_433,inverse(add(X_432,X_434)))) )],[refute_0_1845,refute_0_1848]) ).
cnf(refute_0_1850,plain,
inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),
introduced(tautology,[refl,[$fot(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))))]]) ).
cnf(refute_0_1851,plain,
( multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) != multiply(X_433,inverse(add(X_432,X_434)))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) != inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = inverse(multiply(X_433,inverse(add(X_432,X_434)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))) ),[1,0],$fot(multiply(X_433,inverse(add(X_432,X_434))))]]) ).
cnf(refute_0_1852,plain,
( multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))) != multiply(X_433,inverse(add(X_432,X_434)))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = inverse(multiply(X_433,inverse(add(X_432,X_434)))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))) )],[refute_0_1850,refute_0_1851]) ).
cnf(refute_0_1853,plain,
inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = inverse(multiply(X_433,inverse(add(X_432,X_434)))),
inference(resolve,[$cnf( $equal(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))),multiply(X_433,inverse(add(X_432,X_434)))) )],[refute_0_1849,refute_0_1852]) ).
cnf(refute_0_1854,plain,
( inverse(multiply(X_433,inverse(add(X_432,X_434)))) != add(inverse(X_433),add(X_432,X_434))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) != inverse(multiply(X_433,inverse(add(X_432,X_434))))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = add(inverse(X_433),add(X_432,X_434)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))))),bind(Y0,$fot(inverse(multiply(X_433,inverse(add(X_432,X_434)))))),bind(Z0,$fot(add(inverse(X_433),add(X_432,X_434))))]]) ).
cnf(refute_0_1855,plain,
( inverse(multiply(X_433,inverse(add(X_432,X_434)))) != add(inverse(X_433),add(X_432,X_434))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = add(inverse(X_433),add(X_432,X_434)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),inverse(multiply(X_433,inverse(add(X_432,X_434))))) )],[refute_0_1853,refute_0_1854]) ).
cnf(refute_0_1856,plain,
inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) = add(inverse(X_433),add(X_432,X_434)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_433,inverse(add(X_432,X_434)))),add(inverse(X_433),add(X_432,X_434))) )],[refute_0_1822,refute_0_1855]) ).
cnf(refute_0_1857,plain,
add(inverse(X_259),multiply(X_261,multiply(X_259,add(X_259,X_59)))) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(X_259)),bind(X_11,$fot(add(X_259,X_59))),bind(X_31,$fot(X_261))]]) ).
cnf(refute_0_1858,plain,
X_259 = multiply(X_259,add(X_259,X_59)),
inference(subst,[],[refute_0_147:[bind(X_61,$fot(X_259))]]) ).
cnf(refute_0_1859,plain,
( X_259 != multiply(X_259,add(X_259,X_59))
| multiply(X_259,add(X_259,X_59)) = X_259 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_259)),bind(Y0,$fot(multiply(X_259,add(X_259,X_59))))]]) ).
cnf(refute_0_1860,plain,
multiply(X_259,add(X_259,X_59)) = X_259,
inference(resolve,[$cnf( $equal(X_259,multiply(X_259,add(X_259,X_59))) )],[refute_0_1858,refute_0_1859]) ).
cnf(refute_0_1861,plain,
( multiply(X_259,add(X_259,X_59)) != X_259
| add(inverse(X_259),multiply(X_261,multiply(X_259,add(X_259,X_59)))) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(inverse(X_259),multiply(X_261,X_259)) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,add(X_259,X_59)))),add(multiply(X_261,add(X_259,X_59)),inverse(X_259))) ),[0,1,1],$fot(X_259)]]) ).
cnf(refute_0_1862,plain,
( add(inverse(X_259),multiply(X_261,multiply(X_259,add(X_259,X_59)))) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(inverse(X_259),multiply(X_261,X_259)) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) ),
inference(resolve,[$cnf( $equal(multiply(X_259,add(X_259,X_59)),X_259) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
add(inverse(X_259),multiply(X_261,X_259)) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,add(X_259,X_59)))),add(multiply(X_261,add(X_259,X_59)),inverse(X_259))) )],[refute_0_1857,refute_0_1862]) ).
cnf(refute_0_1864,plain,
add(inverse(X_259),multiply(X_261,X_259)) = add(X_261,inverse(X_259)),
inference(subst,[],[refute_0_49:[bind(X_10,$fot(X_261)),bind(X_11,$fot(X_259))]]) ).
cnf(refute_0_1865,plain,
( add(inverse(X_259),multiply(X_261,X_259)) != add(X_261,inverse(X_259))
| add(inverse(X_259),multiply(X_261,X_259)) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(X_261,inverse(X_259)) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,X_259)),add(multiply(X_261,add(X_259,X_59)),inverse(X_259))) ),[0],$fot(add(X_261,inverse(X_259)))]]) ).
cnf(refute_0_1866,plain,
( add(inverse(X_259),multiply(X_261,X_259)) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(X_261,inverse(X_259)) = add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,X_259)),add(X_261,inverse(X_259))) )],[refute_0_1864,refute_0_1865]) ).
cnf(refute_0_1867,plain,
add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) = add(inverse(X_259),multiply(X_261,add(X_259,X_59))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(multiply(X_261,add(X_259,X_59)))),bind(X_258,$fot(inverse(X_259)))]]) ).
cnf(refute_0_1868,plain,
( add(X_261,inverse(X_259)) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(multiply(X_261,add(X_259,X_59)),inverse(X_259)) != add(inverse(X_259),multiply(X_261,add(X_259,X_59)))
| add(X_261,inverse(X_259)) = add(inverse(X_259),multiply(X_261,add(X_259,X_59))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_261,inverse(X_259)),add(inverse(X_259),multiply(X_261,add(X_259,X_59)))) ),[0],$fot(add(multiply(X_261,add(X_259,X_59)),inverse(X_259)))]]) ).
cnf(refute_0_1869,plain,
( add(X_261,inverse(X_259)) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(X_261,inverse(X_259)) = add(inverse(X_259),multiply(X_261,add(X_259,X_59))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_261,add(X_259,X_59)),inverse(X_259)),add(inverse(X_259),multiply(X_261,add(X_259,X_59)))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
( add(inverse(X_259),multiply(X_261,X_259)) != add(multiply(X_261,add(X_259,X_59)),inverse(X_259))
| add(X_261,inverse(X_259)) = add(inverse(X_259),multiply(X_261,add(X_259,X_59))) ),
inference(resolve,[$cnf( $equal(add(X_261,inverse(X_259)),add(multiply(X_261,add(X_259,X_59)),inverse(X_259))) )],[refute_0_1866,refute_0_1869]) ).
cnf(refute_0_1871,plain,
add(X_261,inverse(X_259)) = add(inverse(X_259),multiply(X_261,add(X_259,X_59))),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,X_259)),add(multiply(X_261,add(X_259,X_59)),inverse(X_259))) )],[refute_0_1863,refute_0_1870]) ).
cnf(refute_0_1872,plain,
add(inverse(multiply(X_10,X_340)),inverse(X_340)) = add(inverse(X_340),multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10)))),
inference(subst,[],[refute_0_1871:[bind(X_259,$fot(X_340)),bind(X_261,$fot(inverse(multiply(X_10,X_340)))),bind(X_59,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1873,plain,
multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))) = inverse(X_10),
inference(subst,[],[refute_0_1323:[bind(X_11,$fot(X_340))]]) ).
cnf(refute_0_1874,plain,
( multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))) != inverse(X_10)
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) != add(inverse(X_340),multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) = add(inverse(X_340),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),add(inverse(X_340),multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))))) ),[1,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_1875,plain,
( add(inverse(multiply(X_10,X_340)),inverse(X_340)) != add(inverse(X_340),multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) = add(inverse(X_340),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))),inverse(X_10)) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
add(inverse(multiply(X_10,X_340)),inverse(X_340)) = add(inverse(X_340),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),add(inverse(X_340),multiply(inverse(multiply(X_10,X_340)),add(X_340,inverse(X_10))))) )],[refute_0_1872,refute_0_1875]) ).
cnf(refute_0_1877,plain,
add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_188)))) = add(inverse(add(X_10,X_188)),inverse(X_10)),
inference(subst,[],[refute_0_21:[bind(X_11,$fot(inverse(add(X_10,X_188))))]]) ).
cnf(refute_0_1878,plain,
multiply(X_10,inverse(add(X_10,X_188))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(X_10)),bind(X_186,$fot(X_188))]]) ).
cnf(refute_0_1879,plain,
( multiply(X_10,inverse(add(X_10,X_188))) != additive_identity
| add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_188)))) != add(inverse(add(X_10,X_188)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_188)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_188)))),add(inverse(add(X_10,X_188)),inverse(X_10))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1880,plain,
( add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_188)))) != add(inverse(add(X_10,X_188)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_188)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(X_10,X_188))),additive_identity) )],[refute_0_1878,refute_0_1879]) ).
cnf(refute_0_1881,plain,
add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_188)),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_188)))),add(inverse(add(X_10,X_188)),inverse(X_10))) )],[refute_0_1877,refute_0_1880]) ).
cnf(refute_0_1882,plain,
add(additive_identity,inverse(X_10)) = inverse(X_10),
inference(subst,[],[additive_id2:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1883,plain,
add(inverse(X_10),additive_identity) = add(additive_identity,inverse(X_10)),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(inverse(X_10))),bind(X_139,$fot(additive_identity))]]) ).
cnf(refute_0_1884,plain,
( add(additive_identity,inverse(X_10)) != inverse(X_10)
| add(inverse(X_10),additive_identity) != add(additive_identity,inverse(X_10))
| add(inverse(X_10),additive_identity) = inverse(X_10) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_10),additive_identity))),bind(Y0,$fot(add(additive_identity,inverse(X_10)))),bind(Z0,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1885,plain,
( add(additive_identity,inverse(X_10)) != inverse(X_10)
| add(inverse(X_10),additive_identity) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),add(additive_identity,inverse(X_10))) )],[refute_0_1883,refute_0_1884]) ).
cnf(refute_0_1886,plain,
add(inverse(X_10),additive_identity) = inverse(X_10),
inference(resolve,[$cnf( $equal(add(additive_identity,inverse(X_10)),inverse(X_10)) )],[refute_0_1882,refute_0_1885]) ).
cnf(refute_0_1887,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_188)),inverse(X_10))
| add(inverse(X_10),additive_identity) != inverse(X_10)
| inverse(X_10) = add(inverse(add(X_10,X_188)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_10,X_188)),inverse(X_10))) ),[0],$fot(inverse(X_10))]]) ).
cnf(refute_0_1888,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_188)),inverse(X_10))
| inverse(X_10) = add(inverse(add(X_10,X_188)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),inverse(X_10)) )],[refute_0_1886,refute_0_1887]) ).
cnf(refute_0_1889,plain,
add(inverse(add(X_10,X_188)),inverse(X_10)) = add(inverse(X_10),inverse(add(X_10,X_188))),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(inverse(add(X_10,X_188)))),bind(X_139,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1890,plain,
( add(inverse(add(X_10,X_188)),inverse(X_10)) != add(inverse(X_10),inverse(add(X_10,X_188)))
| inverse(X_10) != add(inverse(add(X_10,X_188)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_188))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_10),add(inverse(add(X_10,X_188)),inverse(X_10))) ),[1],$fot(add(inverse(X_10),inverse(add(X_10,X_188))))]]) ).
cnf(refute_0_1891,plain,
( inverse(X_10) != add(inverse(add(X_10,X_188)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_188))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_10,X_188)),inverse(X_10)),add(inverse(X_10),inverse(add(X_10,X_188)))) )],[refute_0_1889,refute_0_1890]) ).
cnf(refute_0_1892,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_188)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_188))) ),
inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(add(X_10,X_188)),inverse(X_10))) )],[refute_0_1888,refute_0_1891]) ).
cnf(refute_0_1893,plain,
inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_188))),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_10,X_188)),inverse(X_10))) )],[refute_0_1881,refute_0_1892]) ).
cnf(refute_0_1894,plain,
inverse(X_191) = add(inverse(X_191),inverse(add(X_191,X_192))),
inference(subst,[],[refute_0_1893:[bind(X_10,$fot(X_191)),bind(X_188,$fot(X_192))]]) ).
cnf(refute_0_1895,plain,
add(X_192,X_191) = add(X_191,X_192),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_192)),bind(Y,$fot(X_191))]]) ).
cnf(refute_0_1896,plain,
( add(X_192,X_191) != add(X_191,X_192)
| add(X_191,X_192) = add(X_192,X_191) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_192,X_191))),bind(Y0,$fot(add(X_191,X_192)))]]) ).
cnf(refute_0_1897,plain,
add(X_191,X_192) = add(X_192,X_191),
inference(resolve,[$cnf( $equal(add(X_192,X_191),add(X_191,X_192)) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( add(X_191,X_192) != add(X_192,X_191)
| inverse(X_191) != add(inverse(X_191),inverse(add(X_191,X_192)))
| inverse(X_191) = add(inverse(X_191),inverse(add(X_192,X_191))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_191),add(inverse(X_191),inverse(add(X_191,X_192)))) ),[1,1,0],$fot(add(X_192,X_191))]]) ).
cnf(refute_0_1899,plain,
( inverse(X_191) != add(inverse(X_191),inverse(add(X_191,X_192)))
| inverse(X_191) = add(inverse(X_191),inverse(add(X_192,X_191))) ),
inference(resolve,[$cnf( $equal(add(X_191,X_192),add(X_192,X_191)) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
inverse(X_191) = add(inverse(X_191),inverse(add(X_192,X_191))),
inference(resolve,[$cnf( $equal(inverse(X_191),add(inverse(X_191),inverse(add(X_191,X_192)))) )],[refute_0_1894,refute_0_1899]) ).
cnf(refute_0_1901,plain,
inverse(multiply(X_300,X_192)) = add(inverse(multiply(X_300,X_192)),inverse(add(X_192,multiply(X_300,X_192)))),
inference(subst,[],[refute_0_1900:[bind(X_191,$fot(multiply(X_300,X_192)))]]) ).
cnf(refute_0_1902,plain,
add(X_192,multiply(X_300,X_192)) = X_192,
inference(subst,[],[refute_0_613:[bind(Y,$fot(X_300)),bind(Z,$fot(X_192))]]) ).
cnf(refute_0_1903,plain,
( add(X_192,multiply(X_300,X_192)) != X_192
| inverse(multiply(X_300,X_192)) != add(inverse(multiply(X_300,X_192)),inverse(add(X_192,multiply(X_300,X_192))))
| inverse(multiply(X_300,X_192)) = add(inverse(multiply(X_300,X_192)),inverse(X_192)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_300,X_192)),add(inverse(multiply(X_300,X_192)),inverse(add(X_192,multiply(X_300,X_192))))) ),[1,1,0],$fot(X_192)]]) ).
cnf(refute_0_1904,plain,
( inverse(multiply(X_300,X_192)) != add(inverse(multiply(X_300,X_192)),inverse(add(X_192,multiply(X_300,X_192))))
| inverse(multiply(X_300,X_192)) = add(inverse(multiply(X_300,X_192)),inverse(X_192)) ),
inference(resolve,[$cnf( $equal(add(X_192,multiply(X_300,X_192)),X_192) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
inverse(multiply(X_300,X_192)) = add(inverse(multiply(X_300,X_192)),inverse(X_192)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_300,X_192)),add(inverse(multiply(X_300,X_192)),inverse(add(X_192,multiply(X_300,X_192))))) )],[refute_0_1901,refute_0_1904]) ).
cnf(refute_0_1906,plain,
add(inverse(multiply(X_300,X_192)),inverse(X_192)) = add(inverse(X_192),inverse(multiply(X_300,X_192))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(inverse(multiply(X_300,X_192)))),bind(X_258,$fot(inverse(X_192)))]]) ).
cnf(refute_0_1907,plain,
( add(inverse(multiply(X_300,X_192)),inverse(X_192)) != add(inverse(X_192),inverse(multiply(X_300,X_192)))
| inverse(multiply(X_300,X_192)) != add(inverse(multiply(X_300,X_192)),inverse(X_192))
| inverse(multiply(X_300,X_192)) = add(inverse(X_192),inverse(multiply(X_300,X_192))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_300,X_192)),add(inverse(multiply(X_300,X_192)),inverse(X_192))) ),[1],$fot(add(inverse(X_192),inverse(multiply(X_300,X_192))))]]) ).
cnf(refute_0_1908,plain,
( inverse(multiply(X_300,X_192)) != add(inverse(multiply(X_300,X_192)),inverse(X_192))
| inverse(multiply(X_300,X_192)) = add(inverse(X_192),inverse(multiply(X_300,X_192))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_300,X_192)),inverse(X_192)),add(inverse(X_192),inverse(multiply(X_300,X_192)))) )],[refute_0_1906,refute_0_1907]) ).
cnf(refute_0_1909,plain,
inverse(multiply(X_300,X_192)) = add(inverse(X_192),inverse(multiply(X_300,X_192))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_300,X_192)),add(inverse(multiply(X_300,X_192)),inverse(X_192))) )],[refute_0_1905,refute_0_1908]) ).
cnf(refute_0_1910,plain,
( inverse(multiply(X_300,X_192)) != add(inverse(X_192),inverse(multiply(X_300,X_192)))
| add(inverse(X_192),inverse(multiply(X_300,X_192))) = inverse(multiply(X_300,X_192)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_300,X_192)))),bind(Y0,$fot(add(inverse(X_192),inverse(multiply(X_300,X_192)))))]]) ).
cnf(refute_0_1911,plain,
add(inverse(X_192),inverse(multiply(X_300,X_192))) = inverse(multiply(X_300,X_192)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_300,X_192)),add(inverse(X_192),inverse(multiply(X_300,X_192)))) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
add(inverse(X_340),inverse(multiply(X_10,X_340))) = inverse(multiply(X_10,X_340)),
inference(subst,[],[refute_0_1911:[bind(X_192,$fot(X_340)),bind(X_300,$fot(X_10))]]) ).
cnf(refute_0_1913,plain,
add(inverse(multiply(X_10,X_340)),inverse(X_340)) = add(inverse(X_340),inverse(multiply(X_10,X_340))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(inverse(multiply(X_10,X_340)))),bind(X_258,$fot(inverse(X_340)))]]) ).
cnf(refute_0_1914,plain,
( add(inverse(X_340),inverse(multiply(X_10,X_340))) != inverse(multiply(X_10,X_340))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) != add(inverse(X_340),inverse(multiply(X_10,X_340)))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) = inverse(multiply(X_10,X_340)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiply(X_10,X_340)),inverse(X_340)))),bind(Y0,$fot(add(inverse(X_340),inverse(multiply(X_10,X_340))))),bind(Z0,$fot(inverse(multiply(X_10,X_340))))]]) ).
cnf(refute_0_1915,plain,
( add(inverse(X_340),inverse(multiply(X_10,X_340))) != inverse(multiply(X_10,X_340))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) = inverse(multiply(X_10,X_340)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),add(inverse(X_340),inverse(multiply(X_10,X_340)))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
add(inverse(multiply(X_10,X_340)),inverse(X_340)) = inverse(multiply(X_10,X_340)),
inference(resolve,[$cnf( $equal(add(inverse(X_340),inverse(multiply(X_10,X_340))),inverse(multiply(X_10,X_340))) )],[refute_0_1912,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( add(inverse(multiply(X_10,X_340)),inverse(X_340)) != add(inverse(X_340),inverse(X_10))
| add(inverse(multiply(X_10,X_340)),inverse(X_340)) != inverse(multiply(X_10,X_340))
| inverse(multiply(X_10,X_340)) = add(inverse(X_340),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),add(inverse(X_340),inverse(X_10))) ),[0],$fot(inverse(multiply(X_10,X_340)))]]) ).
cnf(refute_0_1918,plain,
( add(inverse(multiply(X_10,X_340)),inverse(X_340)) != add(inverse(X_340),inverse(X_10))
| inverse(multiply(X_10,X_340)) = add(inverse(X_340),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),inverse(multiply(X_10,X_340))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
inverse(multiply(X_10,X_340)) = add(inverse(X_340),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_10,X_340)),inverse(X_340)),add(inverse(X_340),inverse(X_10))) )],[refute_0_1876,refute_0_1918]) ).
cnf(refute_0_1920,plain,
inverse(multiply(X_417,add(X_66,X_67))) = add(inverse(add(X_66,X_67)),inverse(X_417)),
inference(subst,[],[refute_0_1919:[bind(X_10,$fot(X_417)),bind(X_340,$fot(add(X_66,X_67)))]]) ).
cnf(refute_0_1921,plain,
multiply(X_417,add(X_67,X_66)) = multiply(X_417,add(X_66,X_67)),
inference(subst,[],[refute_0_1681:[bind(X_65,$fot(X_417))]]) ).
cnf(refute_0_1922,plain,
( multiply(X_417,add(X_67,X_66)) != multiply(X_417,add(X_66,X_67))
| multiply(X_417,add(X_66,X_67)) = multiply(X_417,add(X_67,X_66)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_417,add(X_67,X_66)))),bind(Y0,$fot(multiply(X_417,add(X_66,X_67))))]]) ).
cnf(refute_0_1923,plain,
multiply(X_417,add(X_66,X_67)) = multiply(X_417,add(X_67,X_66)),
inference(resolve,[$cnf( $equal(multiply(X_417,add(X_67,X_66)),multiply(X_417,add(X_66,X_67))) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
( multiply(X_417,add(X_66,X_67)) != multiply(X_417,add(X_67,X_66))
| inverse(multiply(X_417,add(X_66,X_67))) != add(inverse(add(X_66,X_67)),inverse(X_417))
| inverse(multiply(X_417,add(X_67,X_66))) = add(inverse(add(X_66,X_67)),inverse(X_417)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_417,add(X_66,X_67))),add(inverse(add(X_66,X_67)),inverse(X_417))) ),[0,0],$fot(multiply(X_417,add(X_67,X_66)))]]) ).
cnf(refute_0_1925,plain,
( inverse(multiply(X_417,add(X_66,X_67))) != add(inverse(add(X_66,X_67)),inverse(X_417))
| inverse(multiply(X_417,add(X_67,X_66))) = add(inverse(add(X_66,X_67)),inverse(X_417)) ),
inference(resolve,[$cnf( $equal(multiply(X_417,add(X_66,X_67)),multiply(X_417,add(X_67,X_66))) )],[refute_0_1923,refute_0_1924]) ).
cnf(refute_0_1926,plain,
inverse(multiply(X_417,add(X_67,X_66))) = add(inverse(add(X_66,X_67)),inverse(X_417)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_417,add(X_66,X_67))),add(inverse(add(X_66,X_67)),inverse(X_417))) )],[refute_0_1920,refute_0_1925]) ).
cnf(refute_0_1927,plain,
( inverse(multiply(X_10,X_340)) != add(inverse(X_340),inverse(X_10))
| add(inverse(X_340),inverse(X_10)) = inverse(multiply(X_10,X_340)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_10,X_340)))),bind(Y0,$fot(add(inverse(X_340),inverse(X_10))))]]) ).
cnf(refute_0_1928,plain,
add(inverse(X_340),inverse(X_10)) = inverse(multiply(X_10,X_340)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,X_340)),add(inverse(X_340),inverse(X_10))) )],[refute_0_1919,refute_0_1927]) ).
cnf(refute_0_1929,plain,
add(inverse(add(X_66,X_67)),inverse(X_417)) = inverse(multiply(X_417,add(X_66,X_67))),
inference(subst,[],[refute_0_1928:[bind(X_10,$fot(X_417)),bind(X_340,$fot(add(X_66,X_67)))]]) ).
cnf(refute_0_1930,plain,
( add(inverse(add(X_66,X_67)),inverse(X_417)) != inverse(multiply(X_417,add(X_66,X_67)))
| inverse(multiply(X_417,add(X_67,X_66))) != add(inverse(add(X_66,X_67)),inverse(X_417))
| inverse(multiply(X_417,add(X_67,X_66))) = inverse(multiply(X_417,add(X_66,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_417,add(X_67,X_66))),add(inverse(add(X_66,X_67)),inverse(X_417))) ),[1],$fot(inverse(multiply(X_417,add(X_66,X_67))))]]) ).
cnf(refute_0_1931,plain,
( inverse(multiply(X_417,add(X_67,X_66))) != add(inverse(add(X_66,X_67)),inverse(X_417))
| inverse(multiply(X_417,add(X_67,X_66))) = inverse(multiply(X_417,add(X_66,X_67))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_66,X_67)),inverse(X_417)),inverse(multiply(X_417,add(X_66,X_67)))) )],[refute_0_1929,refute_0_1930]) ).
cnf(refute_0_1932,plain,
inverse(multiply(X_417,add(X_67,X_66))) = inverse(multiply(X_417,add(X_66,X_67))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_417,add(X_67,X_66))),add(inverse(add(X_66,X_67)),inverse(X_417))) )],[refute_0_1926,refute_0_1931]) ).
cnf(refute_0_1933,plain,
( inverse(multiply(X_417,add(X_67,X_66))) != inverse(multiply(X_417,add(X_66,X_67)))
| inverse(multiply(X_417,add(X_66,X_67))) = inverse(multiply(X_417,add(X_67,X_66))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_417,add(X_67,X_66))))),bind(Y0,$fot(inverse(multiply(X_417,add(X_66,X_67)))))]]) ).
cnf(refute_0_1934,plain,
inverse(multiply(X_417,add(X_66,X_67))) = inverse(multiply(X_417,add(X_67,X_66))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_417,add(X_67,X_66))),inverse(multiply(X_417,add(X_66,X_67)))) )],[refute_0_1932,refute_0_1933]) ).
cnf(refute_0_1935,plain,
inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),
inference(subst,[],[refute_0_1934:[bind(X_417,$fot(add(X_432,X_433))),bind(X_66,$fot(inverse(add(X_432,multiply(X_433,X_434))))),bind(X_67,$fot(inverse(add(X_432,X_433))))]]) ).
cnf(refute_0_1936,plain,
add(multiply(X_10,inverse(X_417)),inverse(X_418)) = multiply(add(X_10,inverse(X_418)),add(inverse(X_418),inverse(X_417))),
inference(subst,[],[refute_0_215:[bind(X_11,$fot(inverse(X_417))),bind(X_12,$fot(inverse(X_418)))]]) ).
cnf(refute_0_1937,plain,
inverse(multiply(X_417,X_418)) = add(inverse(X_418),inverse(X_417)),
inference(subst,[],[refute_0_1919:[bind(X_10,$fot(X_417)),bind(X_340,$fot(X_418))]]) ).
cnf(refute_0_1938,plain,
( inverse(multiply(X_417,X_418)) != add(inverse(X_418),inverse(X_417))
| add(inverse(X_418),inverse(X_417)) = inverse(multiply(X_417,X_418)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_417,X_418)))),bind(Y0,$fot(add(inverse(X_418),inverse(X_417))))]]) ).
cnf(refute_0_1939,plain,
add(inverse(X_418),inverse(X_417)) = inverse(multiply(X_417,X_418)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_417,X_418)),add(inverse(X_418),inverse(X_417))) )],[refute_0_1937,refute_0_1938]) ).
cnf(refute_0_1940,plain,
( add(multiply(X_10,inverse(X_417)),inverse(X_418)) != multiply(add(X_10,inverse(X_418)),add(inverse(X_418),inverse(X_417)))
| add(inverse(X_418),inverse(X_417)) != inverse(multiply(X_417,X_418))
| add(multiply(X_10,inverse(X_417)),inverse(X_418)) = multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(X_417)),inverse(X_418)),multiply(add(X_10,inverse(X_418)),add(inverse(X_418),inverse(X_417)))) ),[1,1],$fot(inverse(multiply(X_417,X_418)))]]) ).
cnf(refute_0_1941,plain,
( add(multiply(X_10,inverse(X_417)),inverse(X_418)) != multiply(add(X_10,inverse(X_418)),add(inverse(X_418),inverse(X_417)))
| add(multiply(X_10,inverse(X_417)),inverse(X_418)) = multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_418),inverse(X_417)),inverse(multiply(X_417,X_418))) )],[refute_0_1939,refute_0_1940]) ).
cnf(refute_0_1942,plain,
add(multiply(X_10,inverse(X_417)),inverse(X_418)) = multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_417)),inverse(X_418)),multiply(add(X_10,inverse(X_418)),add(inverse(X_418),inverse(X_417)))) )],[refute_0_1936,refute_0_1941]) ).
cnf(refute_0_1943,plain,
add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(multiply(X_259,X_203))))) = add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(X_259)),bind(X_11,$fot(inverse(multiply(X_259,X_203)))),bind(X_31,$fot(X_261))]]) ).
cnf(refute_0_1944,plain,
inverse(add(inverse(X_259),X_203)) = multiply(X_259,inverse(multiply(X_259,X_203))),
inference(subst,[],[refute_0_1392:[bind(X_40,$fot(X_259))]]) ).
cnf(refute_0_1945,plain,
( inverse(add(inverse(X_259),X_203)) != multiply(X_259,inverse(multiply(X_259,X_203)))
| multiply(X_259,inverse(multiply(X_259,X_203))) = inverse(add(inverse(X_259),X_203)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(inverse(X_259),X_203)))),bind(Y0,$fot(multiply(X_259,inverse(multiply(X_259,X_203)))))]]) ).
cnf(refute_0_1946,plain,
multiply(X_259,inverse(multiply(X_259,X_203))) = inverse(add(inverse(X_259),X_203)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_259),X_203)),multiply(X_259,inverse(multiply(X_259,X_203)))) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
( multiply(X_259,inverse(multiply(X_259,X_203))) != inverse(add(inverse(X_259),X_203))
| add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(multiply(X_259,X_203))))) != add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(multiply(X_259,X_203))))),add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))) ),[0,1,1],$fot(inverse(add(inverse(X_259),X_203)))]]) ).
cnf(refute_0_1948,plain,
( add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(multiply(X_259,X_203))))) != add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) ),
inference(resolve,[$cnf( $equal(multiply(X_259,inverse(multiply(X_259,X_203))),inverse(add(inverse(X_259),X_203))) )],[refute_0_1946,refute_0_1947]) ).
cnf(refute_0_1949,plain,
add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(multiply(X_259,X_203))))),add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))) )],[refute_0_1943,refute_0_1948]) ).
cnf(refute_0_1950,plain,
multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) = add(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),multiply(Y,inverse(multiply(X_239,X_238)))),
inference(subst,[],[distributivity3:[bind(X,$fot(inverse(X_239))),bind(Z,$fot(inverse(multiply(X_239,X_238))))]]) ).
cnf(refute_0_1951,plain,
inverse(X_239) = multiply(inverse(X_239),inverse(multiply(X_239,X_238))),
inference(subst,[],[refute_0_1317:[bind(X_131,$fot(X_238)),bind(X_59,$fot(X_239))]]) ).
cnf(refute_0_1952,plain,
( inverse(X_239) != multiply(inverse(X_239),inverse(multiply(X_239,X_238)))
| multiply(inverse(X_239),inverse(multiply(X_239,X_238))) = inverse(X_239) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_239))),bind(Y0,$fot(multiply(inverse(X_239),inverse(multiply(X_239,X_238)))))]]) ).
cnf(refute_0_1953,plain,
multiply(inverse(X_239),inverse(multiply(X_239,X_238))) = inverse(X_239),
inference(resolve,[$cnf( $equal(inverse(X_239),multiply(inverse(X_239),inverse(multiply(X_239,X_238)))) )],[refute_0_1951,refute_0_1952]) ).
cnf(refute_0_1954,plain,
( multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) != add(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),multiply(Y,inverse(multiply(X_239,X_238))))
| multiply(inverse(X_239),inverse(multiply(X_239,X_238))) != inverse(X_239)
| multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) = add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))),add(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),multiply(Y,inverse(multiply(X_239,X_238))))) ),[1,0],$fot(inverse(X_239))]]) ).
cnf(refute_0_1955,plain,
( multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) != add(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),multiply(Y,inverse(multiply(X_239,X_238))))
| multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) = add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),inverse(X_239)) )],[refute_0_1953,refute_0_1954]) ).
cnf(refute_0_1956,plain,
multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) = add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238)))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))),add(multiply(inverse(X_239),inverse(multiply(X_239,X_238))),multiply(Y,inverse(multiply(X_239,X_238))))) )],[refute_0_1950,refute_0_1955]) ).
cnf(refute_0_1957,plain,
( multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) != add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238))))
| add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238)))) = multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))))),bind(Y0,$fot(add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238))))))]]) ).
cnf(refute_0_1958,plain,
add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238)))) = multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_239),Y),inverse(multiply(X_239,X_238))),add(inverse(X_239),multiply(Y,inverse(multiply(X_239,X_238))))) )],[refute_0_1956,refute_0_1957]) ).
cnf(refute_0_1959,plain,
add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),
inference(subst,[],[refute_0_1958:[bind(Y,$fot(X_261)),bind(X_238,$fot(X_203)),bind(X_239,$fot(X_259))]]) ).
cnf(refute_0_1960,plain,
add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) = add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(multiply(X_261,inverse(multiply(X_259,X_203))))),bind(X_258,$fot(inverse(X_259)))]]) ).
cnf(refute_0_1961,plain,
( add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) != add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203))))
| add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)))),bind(Y0,$fot(add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))))),bind(Z0,$fot(multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))))]]) ).
cnf(refute_0_1962,plain,
( add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)),add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203))))) )],[refute_0_1960,refute_0_1961]) ).
cnf(refute_0_1963,plain,
add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(multiply(X_259,X_203)))),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) )],[refute_0_1959,refute_0_1962]) ).
cnf(refute_0_1964,plain,
( add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))) ),[1],$fot(multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))))]]) ).
cnf(refute_0_1965,plain,
( add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259)),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(multiply(X_261,inverse(multiply(X_259,X_203))),inverse(X_259))) )],[refute_0_1949,refute_0_1965]) ).
cnf(refute_0_1967,plain,
add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))) = add(multiply(X_261,inverse(X_203)),inverse(X_259)),
inference(subst,[],[refute_0_823:[bind(X_10,$fot(X_259)),bind(X_11,$fot(inverse(X_203))),bind(X_31,$fot(X_261))]]) ).
cnf(refute_0_1968,plain,
inverse(add(inverse(X_259),X_203)) = multiply(X_259,inverse(X_203)),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(X_203)),bind(X_306,$fot(X_259))]]) ).
cnf(refute_0_1969,plain,
multiply(X_261,inverse(add(inverse(X_259),X_203))) = multiply(X_261,inverse(add(inverse(X_259),X_203))),
introduced(tautology,[refl,[$fot(multiply(X_261,inverse(add(inverse(X_259),X_203))))]]) ).
cnf(refute_0_1970,plain,
( multiply(X_261,inverse(add(inverse(X_259),X_203))) != multiply(X_261,inverse(add(inverse(X_259),X_203)))
| inverse(add(inverse(X_259),X_203)) != multiply(X_259,inverse(X_203))
| multiply(X_261,inverse(add(inverse(X_259),X_203))) = multiply(X_261,multiply(X_259,inverse(X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_261,inverse(add(inverse(X_259),X_203))),multiply(X_261,inverse(add(inverse(X_259),X_203)))) ),[1,1],$fot(multiply(X_259,inverse(X_203)))]]) ).
cnf(refute_0_1971,plain,
( inverse(add(inverse(X_259),X_203)) != multiply(X_259,inverse(X_203))
| multiply(X_261,inverse(add(inverse(X_259),X_203))) = multiply(X_261,multiply(X_259,inverse(X_203))) ),
inference(resolve,[$cnf( $equal(multiply(X_261,inverse(add(inverse(X_259),X_203))),multiply(X_261,inverse(add(inverse(X_259),X_203)))) )],[refute_0_1969,refute_0_1970]) ).
cnf(refute_0_1972,plain,
multiply(X_261,inverse(add(inverse(X_259),X_203))) = multiply(X_261,multiply(X_259,inverse(X_203))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_259),X_203)),multiply(X_259,inverse(X_203))) )],[refute_0_1968,refute_0_1971]) ).
cnf(refute_0_1973,plain,
add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),
introduced(tautology,[refl,[$fot(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))))]]) ).
cnf(refute_0_1974,plain,
( multiply(X_261,inverse(add(inverse(X_259),X_203))) != multiply(X_261,multiply(X_259,inverse(X_203)))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203))))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203))))) ),[1,1],$fot(multiply(X_261,multiply(X_259,inverse(X_203))))]]) ).
cnf(refute_0_1975,plain,
( multiply(X_261,inverse(add(inverse(X_259),X_203))) != multiply(X_261,multiply(X_259,inverse(X_203)))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203))))) )],[refute_0_1973,refute_0_1974]) ).
cnf(refute_0_1976,plain,
add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))),
inference(resolve,[$cnf( $equal(multiply(X_261,inverse(add(inverse(X_259),X_203))),multiply(X_261,multiply(X_259,inverse(X_203)))) )],[refute_0_1972,refute_0_1975]) ).
cnf(refute_0_1977,plain,
( add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))) != add(multiply(X_261,inverse(X_203)),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203))))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(X_203)),inverse(X_259)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))))),bind(Y0,$fot(add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))))),bind(Z0,$fot(add(multiply(X_261,inverse(X_203)),inverse(X_259))))]]) ).
cnf(refute_0_1978,plain,
( add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))) != add(multiply(X_261,inverse(X_203)),inverse(X_259))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(X_203)),inverse(X_259)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203))))) )],[refute_0_1976,refute_0_1977]) ).
cnf(refute_0_1979,plain,
add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) = add(multiply(X_261,inverse(X_203)),inverse(X_259)),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,multiply(X_259,inverse(X_203)))),add(multiply(X_261,inverse(X_203)),inverse(X_259))) )],[refute_0_1967,refute_0_1978]) ).
cnf(refute_0_1980,plain,
( add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != add(multiply(X_261,inverse(X_203)),inverse(X_259))
| add(multiply(X_261,inverse(X_203)),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) ),[0],$fot(add(multiply(X_261,inverse(X_203)),inverse(X_259)))]]) ).
cnf(refute_0_1981,plain,
( add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(multiply(X_261,inverse(X_203)),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),add(multiply(X_261,inverse(X_203)),inverse(X_259))) )],[refute_0_1979,refute_0_1980]) ).
cnf(refute_0_1982,plain,
add(multiply(X_261,inverse(X_203)),inverse(X_259)) = multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),
inference(resolve,[$cnf( $equal(add(inverse(X_259),multiply(X_261,inverse(add(inverse(X_259),X_203)))),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) )],[refute_0_1966,refute_0_1981]) ).
cnf(refute_0_1983,plain,
add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)) = multiply(X_259,add(inverse(X_261),X_203)),
inference(subst,[],[refute_0_281:[bind(X,$fot(X_259)),bind(Y,$fot(inverse(X_261))),bind(Z,$fot(X_203))]]) ).
cnf(refute_0_1984,plain,
inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) = inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))),
introduced(tautology,[refl,[$fot(inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))))]]) ).
cnf(refute_0_1985,plain,
( add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)) != multiply(X_259,add(inverse(X_261),X_203))
| inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) != inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)))
| inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))),inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)))) ),[1,0],$fot(multiply(X_259,add(inverse(X_261),X_203)))]]) ).
cnf(refute_0_1986,plain,
( add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)) != multiply(X_259,add(inverse(X_261),X_203))
| inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))),inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)))) )],[refute_0_1984,refute_0_1985]) ).
cnf(refute_0_1987,plain,
inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))),
inference(resolve,[$cnf( $equal(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)),multiply(X_259,add(inverse(X_261),X_203))) )],[refute_0_1983,refute_0_1986]) ).
cnf(refute_0_1988,plain,
inverse(add(inverse(add(inverse(X_309),X_308)),X_226)) = multiply(add(inverse(X_309),X_308),inverse(X_226)),
inference(subst,[],[refute_0_1405:[bind(X_306,$fot(add(inverse(X_309),X_308)))]]) ).
cnf(refute_0_1989,plain,
inverse(add(inverse(X_309),X_308)) = multiply(X_309,inverse(X_308)),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(X_308)),bind(X_306,$fot(X_309))]]) ).
cnf(refute_0_1990,plain,
( inverse(add(inverse(X_309),X_308)) != multiply(X_309,inverse(X_308))
| inverse(add(inverse(add(inverse(X_309),X_308)),X_226)) != multiply(add(inverse(X_309),X_308),inverse(X_226))
| inverse(add(multiply(X_309,inverse(X_308)),X_226)) = multiply(add(inverse(X_309),X_308),inverse(X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(inverse(X_309),X_308)),X_226)),multiply(add(inverse(X_309),X_308),inverse(X_226))) ),[0,0,0],$fot(multiply(X_309,inverse(X_308)))]]) ).
cnf(refute_0_1991,plain,
( inverse(add(inverse(add(inverse(X_309),X_308)),X_226)) != multiply(add(inverse(X_309),X_308),inverse(X_226))
| inverse(add(multiply(X_309,inverse(X_308)),X_226)) = multiply(add(inverse(X_309),X_308),inverse(X_226)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_309),X_308)),multiply(X_309,inverse(X_308))) )],[refute_0_1989,refute_0_1990]) ).
cnf(refute_0_1992,plain,
inverse(add(multiply(X_309,inverse(X_308)),X_226)) = multiply(add(inverse(X_309),X_308),inverse(X_226)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(inverse(X_309),X_308)),X_226)),multiply(add(inverse(X_309),X_308),inverse(X_226))) )],[refute_0_1988,refute_0_1991]) ).
cnf(refute_0_1993,plain,
( inverse(add(multiply(X_309,inverse(X_308)),X_226)) != multiply(add(inverse(X_309),X_308),inverse(X_226))
| multiply(add(inverse(X_309),X_308),inverse(X_226)) = inverse(add(multiply(X_309,inverse(X_308)),X_226)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(multiply(X_309,inverse(X_308)),X_226)))),bind(Y0,$fot(multiply(add(inverse(X_309),X_308),inverse(X_226))))]]) ).
cnf(refute_0_1994,plain,
multiply(add(inverse(X_309),X_308),inverse(X_226)) = inverse(add(multiply(X_309,inverse(X_308)),X_226)),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_309,inverse(X_308)),X_226)),multiply(add(inverse(X_309),X_308),inverse(X_226))) )],[refute_0_1992,refute_0_1993]) ).
cnf(refute_0_1995,plain,
multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) = inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))),
inference(subst,[],[refute_0_1994:[bind(X_226,$fot(multiply(X_259,X_203))),bind(X_308,$fot(X_261)),bind(X_309,$fot(X_259))]]) ).
cnf(refute_0_1996,plain,
( multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) != inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)))
| inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) != inverse(multiply(X_259,add(inverse(X_261),X_203)))
| multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))))),bind(Y0,$fot(inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))))),bind(Z0,$fot(inverse(multiply(X_259,add(inverse(X_261),X_203)))))]]) ).
cnf(refute_0_1997,plain,
( inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))) != inverse(multiply(X_259,add(inverse(X_261),X_203)))
| multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203)))) )],[refute_0_1995,refute_0_1996]) ).
cnf(refute_0_1998,plain,
multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) = inverse(multiply(X_259,add(inverse(X_261),X_203))),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_259,inverse(X_261)),multiply(X_259,X_203))),inverse(multiply(X_259,add(inverse(X_261),X_203)))) )],[refute_0_1987,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))) != inverse(multiply(X_259,add(inverse(X_261),X_203)))
| add(multiply(X_261,inverse(X_203)),inverse(X_259)) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(multiply(X_261,inverse(X_203)),inverse(X_259)) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_261,inverse(X_203)),inverse(X_259)),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) ),[1],$fot(inverse(multiply(X_259,add(inverse(X_261),X_203))))]]) ).
cnf(refute_0_2000,plain,
( add(multiply(X_261,inverse(X_203)),inverse(X_259)) != multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))
| add(multiply(X_261,inverse(X_203)),inverse(X_259)) = inverse(multiply(X_259,add(inverse(X_261),X_203))) ),
inference(resolve,[$cnf( $equal(multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203))),inverse(multiply(X_259,add(inverse(X_261),X_203)))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
add(multiply(X_261,inverse(X_203)),inverse(X_259)) = inverse(multiply(X_259,add(inverse(X_261),X_203))),
inference(resolve,[$cnf( $equal(add(multiply(X_261,inverse(X_203)),inverse(X_259)),multiply(add(inverse(X_259),X_261),inverse(multiply(X_259,X_203)))) )],[refute_0_1982,refute_0_2000]) ).
cnf(refute_0_2002,plain,
add(multiply(X_10,inverse(X_417)),inverse(X_418)) = inverse(multiply(X_418,add(inverse(X_10),X_417))),
inference(subst,[],[refute_0_2001:[bind(X_203,$fot(X_417)),bind(X_259,$fot(X_418)),bind(X_261,$fot(X_10))]]) ).
cnf(refute_0_2003,plain,
( add(multiply(X_10,inverse(X_417)),inverse(X_418)) != multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))
| add(multiply(X_10,inverse(X_417)),inverse(X_418)) != inverse(multiply(X_418,add(inverse(X_10),X_417)))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) = multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(X_417)),inverse(X_418)),multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))) ),[0],$fot(inverse(multiply(X_418,add(inverse(X_10),X_417))))]]) ).
cnf(refute_0_2004,plain,
( add(multiply(X_10,inverse(X_417)),inverse(X_418)) != multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) = multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_417)),inverse(X_418)),inverse(multiply(X_418,add(inverse(X_10),X_417)))) )],[refute_0_2002,refute_0_2003]) ).
cnf(refute_0_2005,plain,
add(X,multiply(add(X,X_83),Z)) = multiply(add(X,add(X,X_83)),add(X,Z)),
inference(subst,[],[distributivity2:[bind(Y,$fot(add(X,X_83)))]]) ).
cnf(refute_0_2006,plain,
add(X_73,X_74) = add(X_73,add(X_74,X_73)),
inference(subst,[],[refute_0_687:[bind(X_30,$fot(X_73)),bind(X_72,$fot(X_74))]]) ).
cnf(refute_0_2007,plain,
add(X_73,X_74) = add(X_74,X_73),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_73)),bind(Y,$fot(X_74))]]) ).
cnf(refute_0_2008,plain,
( add(X_73,X_74) != add(X_74,X_73)
| add(X_74,X_73) = add(X_73,X_74) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_73,X_74))),bind(Y0,$fot(add(X_74,X_73)))]]) ).
cnf(refute_0_2009,plain,
add(X_74,X_73) = add(X_73,X_74),
inference(resolve,[$cnf( $equal(add(X_73,X_74),add(X_74,X_73)) )],[refute_0_2007,refute_0_2008]) ).
cnf(refute_0_2010,plain,
( add(X_73,X_74) != add(X_73,add(X_74,X_73))
| add(X_74,X_73) != add(X_73,X_74)
| add(X_73,X_74) = add(X_73,add(X_73,X_74)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_73,X_74),add(X_73,add(X_74,X_73))) ),[1,1],$fot(add(X_73,X_74))]]) ).
cnf(refute_0_2011,plain,
( add(X_73,X_74) != add(X_73,add(X_74,X_73))
| add(X_73,X_74) = add(X_73,add(X_73,X_74)) ),
inference(resolve,[$cnf( $equal(add(X_74,X_73),add(X_73,X_74)) )],[refute_0_2009,refute_0_2010]) ).
cnf(refute_0_2012,plain,
add(X_73,X_74) = add(X_73,add(X_73,X_74)),
inference(resolve,[$cnf( $equal(add(X_73,X_74),add(X_73,add(X_74,X_73))) )],[refute_0_2006,refute_0_2011]) ).
cnf(refute_0_2013,plain,
add(X,X_83) = add(X,add(X,X_83)),
inference(subst,[],[refute_0_2012:[bind(X_73,$fot(X)),bind(X_74,$fot(X_83))]]) ).
cnf(refute_0_2014,plain,
( add(X,X_83) != add(X,add(X,X_83))
| add(X,add(X,X_83)) = add(X,X_83) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,X_83))),bind(Y0,$fot(add(X,add(X,X_83))))]]) ).
cnf(refute_0_2015,plain,
add(X,add(X,X_83)) = add(X,X_83),
inference(resolve,[$cnf( $equal(add(X,X_83),add(X,add(X,X_83))) )],[refute_0_2013,refute_0_2014]) ).
cnf(refute_0_2016,plain,
( add(X,multiply(add(X,X_83),Z)) != multiply(add(X,add(X,X_83)),add(X,Z))
| add(X,add(X,X_83)) != add(X,X_83)
| add(X,multiply(add(X,X_83),Z)) = multiply(add(X,X_83),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(add(X,X_83),Z)),multiply(add(X,add(X,X_83)),add(X,Z))) ),[1,0],$fot(add(X,X_83))]]) ).
cnf(refute_0_2017,plain,
( add(X,multiply(add(X,X_83),Z)) != multiply(add(X,add(X,X_83)),add(X,Z))
| add(X,multiply(add(X,X_83),Z)) = multiply(add(X,X_83),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,add(X,X_83)),add(X,X_83)) )],[refute_0_2015,refute_0_2016]) ).
cnf(refute_0_2018,plain,
add(X,multiply(add(X,X_83),Z)) = multiply(add(X,X_83),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(add(X,X_83),Z)),multiply(add(X,add(X,X_83)),add(X,Z))) )],[refute_0_2005,refute_0_2017]) ).
cnf(refute_0_2019,plain,
multiply(add(X,X_83),add(X,Z)) = add(X,multiply(X_83,Z)),
inference(subst,[],[refute_0_186:[bind(Y,$fot(X_83))]]) ).
cnf(refute_0_2020,plain,
( multiply(add(X,X_83),add(X,Z)) != add(X,multiply(X_83,Z))
| add(X,multiply(add(X,X_83),Z)) != multiply(add(X,X_83),add(X,Z))
| add(X,multiply(add(X,X_83),Z)) = add(X,multiply(X_83,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(add(X,X_83),Z)),multiply(add(X,X_83),add(X,Z))) ),[1],$fot(add(X,multiply(X_83,Z)))]]) ).
cnf(refute_0_2021,plain,
( add(X,multiply(add(X,X_83),Z)) != multiply(add(X,X_83),add(X,Z))
| add(X,multiply(add(X,X_83),Z)) = add(X,multiply(X_83,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_83),add(X,Z)),add(X,multiply(X_83,Z))) )],[refute_0_2019,refute_0_2020]) ).
cnf(refute_0_2022,plain,
add(X,multiply(add(X,X_83),Z)) = add(X,multiply(X_83,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(add(X,X_83),Z)),multiply(add(X,X_83),add(X,Z))) )],[refute_0_2018,refute_0_2021]) ).
cnf(refute_0_2023,plain,
add(inverse(X_418),multiply(add(inverse(X_418),inverse(X_417)),Z)) = add(inverse(X_418),multiply(inverse(X_417),Z)),
inference(subst,[],[refute_0_2022:[bind(X,$fot(inverse(X_418))),bind(X_83,$fot(inverse(X_417)))]]) ).
cnf(refute_0_2024,plain,
( add(inverse(X_418),multiply(add(inverse(X_418),inverse(X_417)),Z)) != add(inverse(X_418),multiply(inverse(X_417),Z))
| add(inverse(X_418),inverse(X_417)) != inverse(multiply(X_417,X_418))
| add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) = add(inverse(X_418),multiply(inverse(X_417),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_418),multiply(add(inverse(X_418),inverse(X_417)),Z)),add(inverse(X_418),multiply(inverse(X_417),Z))) ),[0,1,0],$fot(inverse(multiply(X_417,X_418)))]]) ).
cnf(refute_0_2025,plain,
( add(inverse(X_418),multiply(add(inverse(X_418),inverse(X_417)),Z)) != add(inverse(X_418),multiply(inverse(X_417),Z))
| add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) = add(inverse(X_418),multiply(inverse(X_417),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_418),inverse(X_417)),inverse(multiply(X_417,X_418))) )],[refute_0_1939,refute_0_2024]) ).
cnf(refute_0_2026,plain,
add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) = add(inverse(X_418),multiply(inverse(X_417),Z)),
inference(resolve,[$cnf( $equal(add(inverse(X_418),multiply(add(inverse(X_418),inverse(X_417)),Z)),add(inverse(X_418),multiply(inverse(X_417),Z))) )],[refute_0_2023,refute_0_2025]) ).
cnf(refute_0_2027,plain,
multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(multiply(X,inverse(multiply(X_231,X_230))),multiply(inverse(X_230),inverse(multiply(X_231,X_230)))),
inference(subst,[],[distributivity3:[bind(Y,$fot(inverse(X_230))),bind(Z,$fot(inverse(multiply(X_231,X_230))))]]) ).
cnf(refute_0_2028,plain,
multiply(X_227,X_226) = multiply(X_226,X_227),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_227)),bind(Y,$fot(X_226))]]) ).
cnf(refute_0_2029,plain,
( multiply(X_227,X_226) != multiply(X_226,X_227)
| multiply(X_226,X_227) = multiply(X_227,X_226) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_227,X_226))),bind(Y0,$fot(multiply(X_226,X_227)))]]) ).
cnf(refute_0_2030,plain,
multiply(X_226,X_227) = multiply(X_227,X_226),
inference(resolve,[$cnf( $equal(multiply(X_227,X_226),multiply(X_226,X_227)) )],[refute_0_2028,refute_0_2029]) ).
cnf(refute_0_2031,plain,
( multiply(X_226,X_227) != multiply(X_227,X_226)
| multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) != inverse(X_226)
| multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) = inverse(X_226) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))),inverse(X_226)) ),[0,0,0],$fot(multiply(X_227,X_226))]]) ).
cnf(refute_0_2032,plain,
( multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))) != inverse(X_226)
| multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) = inverse(X_226) ),
inference(resolve,[$cnf( $equal(multiply(X_226,X_227),multiply(X_227,X_226)) )],[refute_0_2030,refute_0_2031]) ).
cnf(refute_0_2033,plain,
multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) = inverse(X_226),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),add(X_227,inverse(X_226))),inverse(X_226)) )],[refute_0_1324,refute_0_2032]) ).
cnf(refute_0_2034,plain,
multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))),
inference(subst,[],[refute_0_919:[bind(X_59,$fot(inverse(X_11))),bind(X_60,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_2035,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) ),[0,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_2036,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_49,refute_0_2035]) ).
cnf(refute_0_2037,plain,
multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) )],[refute_0_2034,refute_0_2036]) ).
cnf(refute_0_2038,plain,
multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) = multiply(inverse(X_226),inverse(multiply(X_227,X_226))),
inference(subst,[],[refute_0_2037:[bind(X_10,$fot(X_227)),bind(X_11,$fot(X_226))]]) ).
cnf(refute_0_2039,plain,
( multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) != multiply(inverse(X_226),inverse(multiply(X_227,X_226)))
| multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) != inverse(X_226)
| multiply(inverse(X_226),inverse(multiply(X_227,X_226))) = inverse(X_226) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))),inverse(X_226)) ),[0],$fot(multiply(inverse(X_226),inverse(multiply(X_227,X_226))))]]) ).
cnf(refute_0_2040,plain,
( multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))) != inverse(X_226)
| multiply(inverse(X_226),inverse(multiply(X_227,X_226))) = inverse(X_226) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))),multiply(inverse(X_226),inverse(multiply(X_227,X_226)))) )],[refute_0_2038,refute_0_2039]) ).
cnf(refute_0_2041,plain,
multiply(inverse(X_226),inverse(multiply(X_227,X_226))) = inverse(X_226),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_227,X_226)),add(X_227,inverse(X_226))),inverse(X_226)) )],[refute_0_2033,refute_0_2040]) ).
cnf(refute_0_2042,plain,
multiply(inverse(X_230),inverse(multiply(X_231,X_230))) = inverse(X_230),
inference(subst,[],[refute_0_2041:[bind(X_226,$fot(X_230)),bind(X_227,$fot(X_231))]]) ).
cnf(refute_0_2043,plain,
( multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) != add(multiply(X,inverse(multiply(X_231,X_230))),multiply(inverse(X_230),inverse(multiply(X_231,X_230))))
| multiply(inverse(X_230),inverse(multiply(X_231,X_230))) != inverse(X_230)
| multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),add(multiply(X,inverse(multiply(X_231,X_230))),multiply(inverse(X_230),inverse(multiply(X_231,X_230))))) ),[1,1],$fot(inverse(X_230))]]) ).
cnf(refute_0_2044,plain,
( multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) != add(multiply(X,inverse(multiply(X_231,X_230))),multiply(inverse(X_230),inverse(multiply(X_231,X_230))))
| multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_230),inverse(multiply(X_231,X_230))),inverse(X_230)) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),add(multiply(X,inverse(multiply(X_231,X_230))),multiply(inverse(X_230),inverse(multiply(X_231,X_230))))) )],[refute_0_2027,refute_0_2044]) ).
cnf(refute_0_2046,plain,
add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)) = add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)),
inference(subst,[],[refute_0_1065:[bind(X,$fot(inverse(X_230))),bind(X_174,$fot(X)),bind(X_175,$fot(inverse(multiply(X_231,X_230))))]]) ).
cnf(refute_0_2047,plain,
( multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) != add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230))
| add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)) != add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))
| multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))) ),[0],$fot(add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)))]]) ).
cnf(refute_0_2048,plain,
( multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) != add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230))
| multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230)),add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))) )],[refute_0_2046,refute_0_2047]) ).
cnf(refute_0_2049,plain,
multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) = add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),add(multiply(X,inverse(multiply(X_231,X_230))),inverse(X_230))) )],[refute_0_2045,refute_0_2048]) ).
cnf(refute_0_2050,plain,
( multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) != add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))
| add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)) = multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))))),bind(Y0,$fot(add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))))]]) ).
cnf(refute_0_2051,plain,
add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X)) = multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_230)),inverse(multiply(X_231,X_230))),add(inverse(X_230),multiply(inverse(multiply(X_231,X_230)),X))) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) = multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418))),
inference(subst,[],[refute_0_2051:[bind(X,$fot(Z)),bind(X_230,$fot(X_418)),bind(X_231,$fot(X_417))]]) ).
cnf(refute_0_2053,plain,
( add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) != multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418)))
| add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) != add(inverse(X_418),multiply(inverse(X_417),Z))
| multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418))) = add(inverse(X_418),multiply(inverse(X_417),Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)),add(inverse(X_418),multiply(inverse(X_417),Z))) ),[0],$fot(multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418))))]]) ).
cnf(refute_0_2054,plain,
( add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)) != add(inverse(X_418),multiply(inverse(X_417),Z))
| multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418))) = add(inverse(X_418),multiply(inverse(X_417),Z)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)),multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418)))) )],[refute_0_2052,refute_0_2053]) ).
cnf(refute_0_2055,plain,
multiply(add(Z,inverse(X_418)),inverse(multiply(X_417,X_418))) = add(inverse(X_418),multiply(inverse(X_417),Z)),
inference(resolve,[$cnf( $equal(add(inverse(X_418),multiply(inverse(multiply(X_417,X_418)),Z)),add(inverse(X_418),multiply(inverse(X_417),Z))) )],[refute_0_2026,refute_0_2054]) ).
cnf(refute_0_2056,plain,
multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) = add(inverse(X_418),multiply(inverse(X_417),X_10)),
inference(subst,[],[refute_0_2055:[bind(Z,$fot(X_10))]]) ).
cnf(refute_0_2057,plain,
( multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))) != add(inverse(X_418),multiply(inverse(X_417),X_10))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) != multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) = add(inverse(X_418),multiply(inverse(X_417),X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_418,add(inverse(X_10),X_417))),multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))) ),[1],$fot(add(inverse(X_418),multiply(inverse(X_417),X_10)))]]) ).
cnf(refute_0_2058,plain,
( inverse(multiply(X_418,add(inverse(X_10),X_417))) != multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) = add(inverse(X_418),multiply(inverse(X_417),X_10)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418))),add(inverse(X_418),multiply(inverse(X_417),X_10))) )],[refute_0_2056,refute_0_2057]) ).
cnf(refute_0_2059,plain,
( add(multiply(X_10,inverse(X_417)),inverse(X_418)) != multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))
| inverse(multiply(X_418,add(inverse(X_10),X_417))) = add(inverse(X_418),multiply(inverse(X_417),X_10)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_418,add(inverse(X_10),X_417))),multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))) )],[refute_0_2004,refute_0_2058]) ).
cnf(refute_0_2060,plain,
inverse(multiply(X_418,add(inverse(X_10),X_417))) = add(inverse(X_418),multiply(inverse(X_417),X_10)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(X_417)),inverse(X_418)),multiply(add(X_10,inverse(X_418)),inverse(multiply(X_417,X_418)))) )],[refute_0_1942,refute_0_2059]) ).
cnf(refute_0_2061,plain,
( inverse(multiply(X_418,add(inverse(X_10),X_417))) != add(inverse(X_418),multiply(inverse(X_417),X_10))
| add(inverse(X_418),multiply(inverse(X_417),X_10)) = inverse(multiply(X_418,add(inverse(X_10),X_417))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_418,add(inverse(X_10),X_417))))),bind(Y0,$fot(add(inverse(X_418),multiply(inverse(X_417),X_10))))]]) ).
cnf(refute_0_2062,plain,
add(inverse(X_418),multiply(inverse(X_417),X_10)) = inverse(multiply(X_418,add(inverse(X_10),X_417))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_418,add(inverse(X_10),X_417))),add(inverse(X_418),multiply(inverse(X_417),X_10))) )],[refute_0_2060,refute_0_2061]) ).
cnf(refute_0_2063,plain,
add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))),
inference(subst,[],[refute_0_2062:[bind(X_10,$fot(add(X_432,multiply(X_433,X_434)))),bind(X_417,$fot(inverse(add(X_432,X_433)))),bind(X_418,$fot(add(X_432,X_433)))]]) ).
cnf(refute_0_2064,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433)))))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))) != inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))))),bind(Y0,$fot(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))))),bind(Z0,$fot(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))))]]) ).
cnf(refute_0_2065,plain,
( inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))) != inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433)))))) )],[refute_0_2063,refute_0_2064]) ).
cnf(refute_0_2066,plain,
add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,multiply(X_433,X_434))),inverse(add(X_432,X_433))))),inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))) )],[refute_0_1935,refute_0_2065]) ).
cnf(refute_0_2067,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))
| inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) != add(inverse(X_433),add(X_432,X_434))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(inverse(X_433),add(X_432,X_434)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))))),bind(Y0,$fot(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))))),bind(Z0,$fot(add(inverse(X_433),add(X_432,X_434))))]]) ).
cnf(refute_0_2068,plain,
( inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))) != add(inverse(X_433),add(X_432,X_434))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(inverse(X_433),add(X_432,X_434)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434))))))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) = add(inverse(X_433),add(X_432,X_434)),
inference(resolve,[$cnf( $equal(inverse(multiply(add(X_432,X_433),add(inverse(add(X_432,X_433)),inverse(add(X_432,multiply(X_433,X_434)))))),add(inverse(X_433),add(X_432,X_434))) )],[refute_0_1856,refute_0_2068]) ).
cnf(refute_0_2070,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != add(add(X_432,X_434),inverse(add(X_432,X_433)))
| add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != add(inverse(X_433),add(X_432,X_434))
| add(inverse(X_433),add(X_432,X_434)) = add(add(X_432,X_434),inverse(add(X_432,X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),add(add(X_432,X_434),inverse(add(X_432,X_433)))) ),[0],$fot(add(inverse(X_433),add(X_432,X_434)))]]) ).
cnf(refute_0_2071,plain,
( add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))) != add(add(X_432,X_434),inverse(add(X_432,X_433)))
| add(inverse(X_433),add(X_432,X_434)) = add(add(X_432,X_434),inverse(add(X_432,X_433))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),add(inverse(X_433),add(X_432,X_434))) )],[refute_0_2069,refute_0_2070]) ).
cnf(refute_0_2072,plain,
add(inverse(X_433),add(X_432,X_434)) = add(add(X_432,X_434),inverse(add(X_432,X_433))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),multiply(inverse(inverse(add(X_432,X_433))),add(X_432,multiply(X_433,X_434)))),add(add(X_432,X_434),inverse(add(X_432,X_433)))) )],[refute_0_1797,refute_0_2071]) ).
cnf(refute_0_2073,plain,
( add(inverse(X_433),add(X_432,X_434)) != add(add(X_432,X_434),inverse(add(X_432,X_433)))
| add(add(X_432,X_434),inverse(add(X_432,X_433))) = add(inverse(X_433),add(X_432,X_434)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(X_433),add(X_432,X_434)))),bind(Y0,$fot(add(add(X_432,X_434),inverse(add(X_432,X_433)))))]]) ).
cnf(refute_0_2074,plain,
add(add(X_432,X_434),inverse(add(X_432,X_433))) = add(inverse(X_433),add(X_432,X_434)),
inference(resolve,[$cnf( $equal(add(inverse(X_433),add(X_432,X_434)),add(add(X_432,X_434),inverse(add(X_432,X_433)))) )],[refute_0_2072,refute_0_2073]) ).
cnf(refute_0_2075,plain,
add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))) = add(inverse(inverse(X_60)),add(X_432,X_59)),
inference(subst,[],[refute_0_2074:[bind(X_433,$fot(inverse(X_60))),bind(X_434,$fot(X_59))]]) ).
cnf(refute_0_2076,plain,
add(inverse(add(X_30,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))) = add(add(X_30,X_31),inverse(add(X_30,X_32))),
inference(subst,[],[refute_0_49:[bind(X_10,$fot(add(X_30,X_31))),bind(X_11,$fot(add(X_30,X_32)))]]) ).
cnf(refute_0_2077,plain,
( multiply(add(X_30,X_31),add(X_30,X_32)) != add(X_30,multiply(X_31,X_32))
| add(inverse(add(X_30,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))) != add(add(X_30,X_31),inverse(add(X_30,X_32)))
| add(inverse(add(X_30,X_32)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_31),inverse(add(X_30,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_30,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))),add(add(X_30,X_31),inverse(add(X_30,X_32)))) ),[0,1],$fot(add(X_30,multiply(X_31,X_32)))]]) ).
cnf(refute_0_2078,plain,
( add(inverse(add(X_30,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))) != add(add(X_30,X_31),inverse(add(X_30,X_32)))
| add(inverse(add(X_30,X_32)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_31),inverse(add(X_30,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_30,X_31),add(X_30,X_32)),add(X_30,multiply(X_31,X_32))) )],[refute_0_25,refute_0_2077]) ).
cnf(refute_0_2079,plain,
add(inverse(add(X_30,X_32)),add(X_30,multiply(X_31,X_32))) = add(add(X_30,X_31),inverse(add(X_30,X_32))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_30,X_32)),multiply(add(X_30,X_31),add(X_30,X_32))),add(add(X_30,X_31),inverse(add(X_30,X_32)))) )],[refute_0_2076,refute_0_2078]) ).
cnf(refute_0_2080,plain,
add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))),
inference(subst,[],[refute_0_2079:[bind(X_30,$fot(X_432)),bind(X_31,$fot(X_59)),bind(X_32,$fot(inverse(X_60)))]]) ).
cnf(refute_0_2081,plain,
( add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))) != add(inverse(inverse(X_60)),add(X_432,X_59))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(add(X_432,X_59),inverse(add(X_432,inverse(X_60))))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(inverse(inverse(X_60)),add(X_432,X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))))),bind(Y0,$fot(add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))))),bind(Z0,$fot(add(inverse(inverse(X_60)),add(X_432,X_59))))]]) ).
cnf(refute_0_2082,plain,
( add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))) != add(inverse(inverse(X_60)),add(X_432,X_59))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(inverse(inverse(X_60)),add(X_432,X_59)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))),add(add(X_432,X_59),inverse(add(X_432,inverse(X_60))))) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(inverse(inverse(X_60)),add(X_432,X_59)),
inference(resolve,[$cnf( $equal(add(add(X_432,X_59),inverse(add(X_432,inverse(X_60)))),add(inverse(inverse(X_60)),add(X_432,X_59))) )],[refute_0_2075,refute_0_2082]) ).
cnf(refute_0_2084,plain,
( add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(inverse(inverse(X_60)),add(X_432,X_59))
| add(inverse(inverse(X_60)),add(X_432,X_59)) != add(X_60,add(X_432,X_59))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(X_60,add(X_432,X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))))),bind(Y0,$fot(add(inverse(inverse(X_60)),add(X_432,X_59)))),bind(Z0,$fot(add(X_60,add(X_432,X_59))))]]) ).
cnf(refute_0_2085,plain,
( add(inverse(inverse(X_60)),add(X_432,X_59)) != add(X_60,add(X_432,X_59))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(X_60,add(X_432,X_59)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))),add(inverse(inverse(X_60)),add(X_432,X_59))) )],[refute_0_2083,refute_0_2084]) ).
cnf(refute_0_2086,plain,
add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) = add(X_60,add(X_432,X_59)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,X_59)),add(X_60,add(X_432,X_59))) )],[refute_0_1792,refute_0_2085]) ).
cnf(refute_0_2087,plain,
( add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(X_60,add(X_432,X_59))
| add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(X_60,add(X_432,X_59)) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))),add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))) ),[0],$fot(add(X_60,add(X_432,X_59)))]]) ).
cnf(refute_0_2088,plain,
( add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(X_60,add(X_432,X_59)) = add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))),add(X_60,add(X_432,X_59))) )],[refute_0_2086,refute_0_2087]) ).
cnf(refute_0_2089,plain,
add(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),add(X_256,add(X_225,X_224))) = add(add(X_225,X_224),X_256),
inference(subst,[],[refute_0_1569:[bind(X_140,$fot(X_256)),bind(X_142,$fot(inverse(multiply(X_225,inverse(X_224))))),bind(X_72,$fot(add(X_225,X_224)))]]) ).
cnf(refute_0_2090,plain,
( multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))) != X_224
| add(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),add(X_256,add(X_225,X_224))) != add(add(X_225,X_224),X_256)
| add(X_224,add(X_256,add(X_225,X_224))) = add(add(X_225,X_224),X_256) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),add(X_256,add(X_225,X_224))),add(add(X_225,X_224),X_256)) ),[0,0],$fot(X_224)]]) ).
cnf(refute_0_2091,plain,
( add(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),add(X_256,add(X_225,X_224))) != add(add(X_225,X_224),X_256)
| add(X_224,add(X_256,add(X_225,X_224))) = add(add(X_225,X_224),X_256) ),
inference(resolve,[$cnf( $equal(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),X_224) )],[refute_0_1530,refute_0_2090]) ).
cnf(refute_0_2092,plain,
add(X_224,add(X_256,add(X_225,X_224))) = add(add(X_225,X_224),X_256),
inference(resolve,[$cnf( $equal(add(multiply(add(X_225,X_224),inverse(multiply(X_225,inverse(X_224)))),add(X_256,add(X_225,X_224))),add(add(X_225,X_224),X_256)) )],[refute_0_2089,refute_0_2091]) ).
cnf(refute_0_2093,plain,
add(X_60,add(X_432,add(X_59,X_60))) = add(add(X_59,X_60),X_432),
inference(subst,[],[refute_0_2092:[bind(X_224,$fot(X_60)),bind(X_225,$fot(X_59)),bind(X_256,$fot(X_432))]]) ).
cnf(refute_0_2094,plain,
add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))))]]) ).
cnf(refute_0_2095,plain,
( add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) != add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60)))
| inverse(inverse(X_60)) != X_60
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(X_60,add(X_432,add(X_59,X_60))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60)))) ),[1,0],$fot(X_60)]]) ).
cnf(refute_0_2096,plain,
( inverse(inverse(X_60)) != X_60
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(X_60,add(X_432,add(X_59,X_60))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60)))) )],[refute_0_2094,refute_0_2095]) ).
cnf(refute_0_2097,plain,
add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(X_60,add(X_432,add(X_59,X_60))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_60)),X_60) )],[refute_0_1788,refute_0_2096]) ).
cnf(refute_0_2098,plain,
( add(X_60,add(X_432,add(X_59,X_60))) != add(add(X_59,X_60),X_432)
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) != add(X_60,add(X_432,add(X_59,X_60)))
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(add(X_59,X_60),X_432) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))))),bind(Y0,$fot(add(X_60,add(X_432,add(X_59,X_60))))),bind(Z0,$fot(add(add(X_59,X_60),X_432)))]]) ).
cnf(refute_0_2099,plain,
( add(X_60,add(X_432,add(X_59,X_60))) != add(add(X_59,X_60),X_432)
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(add(X_59,X_60),X_432) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),add(X_60,add(X_432,add(X_59,X_60)))) )],[refute_0_2097,refute_0_2098]) ).
cnf(refute_0_2100,plain,
add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) = add(add(X_59,X_60),X_432),
inference(resolve,[$cnf( $equal(add(X_60,add(X_432,add(X_59,X_60))),add(add(X_59,X_60),X_432)) )],[refute_0_2093,refute_0_2099]) ).
cnf(refute_0_2101,plain,
add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) = add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),
inference(subst,[],[refute_0_2074:[bind(X_433,$fot(inverse(X_60))),bind(X_434,$fot(add(X_59,X_60)))]]) ).
cnf(refute_0_2102,plain,
( add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) != add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60)))
| add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) != add(add(X_59,X_60),X_432)
| add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) = add(add(X_59,X_60),X_432) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))))),bind(Y0,$fot(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))))),bind(Z0,$fot(add(add(X_59,X_60),X_432)))]]) ).
cnf(refute_0_2103,plain,
( add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))) != add(add(X_59,X_60),X_432)
| add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) = add(add(X_59,X_60),X_432) ),
inference(resolve,[$cnf( $equal(add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))),add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60)))) )],[refute_0_2101,refute_0_2102]) ).
cnf(refute_0_2104,plain,
add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) = add(add(X_59,X_60),X_432),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_60)),add(X_432,add(X_59,X_60))),add(add(X_59,X_60),X_432)) )],[refute_0_2100,refute_0_2103]) ).
cnf(refute_0_2105,plain,
( add(X_60,add(X_432,X_59)) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))) != add(add(X_59,X_60),X_432)
| add(X_60,add(X_432,X_59)) = add(add(X_59,X_60),X_432) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_60,add(X_432,X_59)),add(add(X_59,X_60),X_432)) ),[0],$fot(add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))))]]) ).
cnf(refute_0_2106,plain,
( add(X_60,add(X_432,X_59)) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(X_60,add(X_432,X_59)) = add(add(X_59,X_60),X_432) ),
inference(resolve,[$cnf( $equal(add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60)))),add(add(X_59,X_60),X_432)) )],[refute_0_2104,refute_0_2105]) ).
cnf(refute_0_2107,plain,
( add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))) != add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))
| add(X_60,add(X_432,X_59)) = add(add(X_59,X_60),X_432) ),
inference(resolve,[$cnf( $equal(add(X_60,add(X_432,X_59)),add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))) )],[refute_0_2088,refute_0_2106]) ).
cnf(refute_0_2108,plain,
add(X_60,add(X_432,X_59)) = add(add(X_59,X_60),X_432),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,inverse(X_60))),add(X_432,multiply(X_59,inverse(X_60)))),add(add(X_432,add(X_59,X_60)),inverse(add(X_432,inverse(X_60))))) )],[refute_0_1787,refute_0_2107]) ).
cnf(refute_0_2109,plain,
( add(X_60,add(X_432,X_59)) != add(add(X_59,X_60),X_432)
| add(add(X_59,X_60),X_432) = add(X_60,add(X_432,X_59)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_60,add(X_432,X_59)))),bind(Y0,$fot(add(add(X_59,X_60),X_432)))]]) ).
cnf(refute_0_2110,plain,
add(add(X_59,X_60),X_432) = add(X_60,add(X_432,X_59)),
inference(resolve,[$cnf( $equal(add(X_60,add(X_432,X_59)),add(add(X_59,X_60),X_432)) )],[refute_0_2108,refute_0_2109]) ).
cnf(refute_0_2111,plain,
add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(multiply(inverse(multiply(X_86,X_87)),X_434))),bind(X_59,$fot(X_87)),bind(X_60,$fot(X_88))]]) ).
cnf(refute_0_2112,plain,
( add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)) != add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))),bind(Y0,$fot(add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)))),bind(Z0,$fot(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))))]]) ).
cnf(refute_0_2113,plain,
( add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)) != add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) ),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)),add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87))) )],[refute_0_2111,refute_0_2112]) ).
cnf(refute_0_2114,plain,
add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),
inference(resolve,[$cnf( $equal(add(X_88,add(multiply(inverse(multiply(X_86,X_87)),X_434),X_87)),add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_1783,refute_0_2113]) ).
cnf(refute_0_2115,plain,
( add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) != add(X_88,add(X_87,X_434))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,X_434)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))),bind(Y0,$fot(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))))),bind(Z0,$fot(add(X_88,add(X_87,X_434))))]]) ).
cnf(refute_0_2116,plain,
( add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))) != add(X_88,add(X_87,X_434))
| add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,X_434)) ),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)),add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_2114,refute_0_2115]) ).
cnf(refute_0_2117,plain,
add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) = add(X_88,add(X_87,X_434)),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,multiply(inverse(multiply(X_86,X_87)),X_434))),add(X_88,add(X_87,X_434))) )],[refute_0_1750,refute_0_2116]) ).
cnf(refute_0_2118,plain,
add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),
introduced(tautology,[refl,[$fot(add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))))]]) ).
cnf(refute_0_2119,plain,
( add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_88,add(X_87,X_434))
| add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))) ),
introduced(tautology,[equality,[$cnf( $equal(add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))) ),[1,1],$fot(add(X_88,add(X_87,X_434)))]]) ).
cnf(refute_0_2120,plain,
( add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)) != add(X_88,add(X_87,X_434))
| add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))) ),
inference(resolve,[$cnf( $equal(add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_2118,refute_0_2119]) ).
cnf(refute_0_2121,plain,
add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)),add(X_88,add(X_87,X_434))) )],[refute_0_2117,refute_0_2120]) ).
cnf(refute_0_2122,plain,
add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),
introduced(tautology,[refl,[$fot(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))))]]) ).
cnf(refute_0_2123,plain,
( add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))
| inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2124,plain,
( inverse(multiplicative_identity) != additive_identity
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),
inference(resolve,[$cnf( $equal(inverse(multiplicative_identity),additive_identity) )],[refute_0_1494,refute_0_2124]) ).
cnf(refute_0_2126,plain,
( add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(additive_identity,add(X_88,add(X_87,X_434)))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))))),bind(Y0,$fot(add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))))),bind(Z0,$fot(add(additive_identity,add(X_88,add(X_87,X_434)))))]]) ).
cnf(refute_0_2127,plain,
( add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(additive_identity,add(X_88,add(X_87,X_434)))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434)))) )],[refute_0_2125,refute_0_2126]) ).
cnf(refute_0_2128,plain,
add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(additive_identity,add(X_88,add(X_87,X_434))),
inference(resolve,[$cnf( $equal(add(additive_identity,add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(additive_identity,add(X_88,add(X_87,X_434)))) )],[refute_0_2121,refute_0_2127]) ).
cnf(refute_0_2129,plain,
( add(additive_identity,add(X_88,add(X_87,X_434))) != add(X_88,add(X_87,X_434))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(additive_identity,add(X_88,add(X_87,X_434)))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))))),bind(Y0,$fot(add(additive_identity,add(X_88,add(X_87,X_434))))),bind(Z0,$fot(add(X_88,add(X_87,X_434))))]]) ).
cnf(refute_0_2130,plain,
( add(additive_identity,add(X_88,add(X_87,X_434))) != add(X_88,add(X_87,X_434))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(additive_identity,add(X_88,add(X_87,X_434)))) )],[refute_0_2128,refute_0_2129]) ).
cnf(refute_0_2131,plain,
add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) = add(X_88,add(X_87,X_434)),
inference(resolve,[$cnf( $equal(add(additive_identity,add(X_88,add(X_87,X_434))),add(X_88,add(X_87,X_434))) )],[refute_0_600,refute_0_2130]) ).
cnf(refute_0_2132,plain,
( add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(X_88,add(X_87,X_434))
| add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(X_88,add(X_87,X_434)) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),[0],$fot(add(X_88,add(X_87,X_434)))]]) ).
cnf(refute_0_2133,plain,
( add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(X_88,add(X_87,X_434)) = add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(X_88,add(X_87,X_434))) )],[refute_0_2131,refute_0_2132]) ).
cnf(refute_0_2134,plain,
add(X_87,additive_identity) = X_87,
inference(subst,[],[additive_id1:[bind(X,$fot(X_87))]]) ).
cnf(refute_0_2135,plain,
multiply(X_86,additive_identity) = additive_identity,
inference(subst,[],[refute_0_488:[bind(X_10,$fot(X_86))]]) ).
cnf(refute_0_2136,plain,
multiply(X_87,inverse(add(X_87,X_88))) = additive_identity,
inference(subst,[],[refute_0_1027:[bind(X_185,$fot(X_87)),bind(X_186,$fot(X_88))]]) ).
cnf(refute_0_2137,plain,
multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),
introduced(tautology,[refl,[$fot(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))))]]) ).
cnf(refute_0_2138,plain,
( multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| multiply(X_87,inverse(add(X_87,X_88))) != additive_identity
| multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = multiply(X_86,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2139,plain,
( multiply(X_87,inverse(add(X_87,X_88))) != additive_identity
| multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = multiply(X_86,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))) )],[refute_0_2137,refute_0_2138]) ).
cnf(refute_0_2140,plain,
multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = multiply(X_86,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_87,inverse(add(X_87,X_88))),additive_identity) )],[refute_0_2136,refute_0_2139]) ).
cnf(refute_0_2141,plain,
( multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) != multiply(X_86,additive_identity)
| multiply(X_86,additive_identity) != additive_identity
| multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))))),bind(Y0,$fot(multiply(X_86,additive_identity))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2142,plain,
( multiply(X_86,additive_identity) != additive_identity
| multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),multiply(X_86,additive_identity)) )],[refute_0_2140,refute_0_2141]) ).
cnf(refute_0_2143,plain,
multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_86,additive_identity),additive_identity) )],[refute_0_2135,refute_0_2142]) ).
cnf(refute_0_2144,plain,
multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),add(X_59,add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),
inference(subst,[],[refute_0_919:[bind(X_60,$fot(add(X_337,inverse(multiply(X_336,X_59)))))]]) ).
cnf(refute_0_2145,plain,
multiplicative_identity = add(inverse(multiply(X_86,multiply(X_86,X_177))),multiply(X_86,add(multiply(X_86,X_177),X_88))),
inference(subst,[],[refute_0_519:[bind(X_87,$fot(multiply(X_86,X_177)))]]) ).
cnf(refute_0_2146,plain,
multiply(X_86,X_177) = multiply(X_86,multiply(X_86,X_177)),
inference(subst,[],[refute_0_796:[bind(X_32,$fot(X_177)),bind(X_80,$fot(X_86))]]) ).
cnf(refute_0_2147,plain,
( multiply(X_86,X_177) != multiply(X_86,multiply(X_86,X_177))
| multiply(X_86,multiply(X_86,X_177)) = multiply(X_86,X_177) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_86,X_177))),bind(Y0,$fot(multiply(X_86,multiply(X_86,X_177))))]]) ).
cnf(refute_0_2148,plain,
multiply(X_86,multiply(X_86,X_177)) = multiply(X_86,X_177),
inference(resolve,[$cnf( $equal(multiply(X_86,X_177),multiply(X_86,multiply(X_86,X_177))) )],[refute_0_2146,refute_0_2147]) ).
cnf(refute_0_2149,plain,
( multiply(X_86,multiply(X_86,X_177)) != multiply(X_86,X_177)
| multiplicative_identity != add(inverse(multiply(X_86,multiply(X_86,X_177))),multiply(X_86,add(multiply(X_86,X_177),X_88)))
| multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,multiply(X_86,X_177))),multiply(X_86,add(multiply(X_86,X_177),X_88)))) ),[1,0,0],$fot(multiply(X_86,X_177))]]) ).
cnf(refute_0_2150,plain,
( multiplicative_identity != add(inverse(multiply(X_86,multiply(X_86,X_177))),multiply(X_86,add(multiply(X_86,X_177),X_88)))
| multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) ),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_86,X_177)),multiply(X_86,X_177)) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,multiply(X_86,X_177))),multiply(X_86,add(multiply(X_86,X_177),X_88)))) )],[refute_0_2145,refute_0_2150]) ).
cnf(refute_0_2152,plain,
multiply(X_86,add(multiply(X_86,X_177),X_88)) = multiply(add(X_88,X_177),X_86),
inference(subst,[],[refute_0_971:[bind(X_10,$fot(X_88)),bind(X_11,$fot(X_86)),bind(X_129,$fot(X_177))]]) ).
cnf(refute_0_2153,plain,
add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) = add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))),
introduced(tautology,[refl,[$fot(add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))))]]) ).
cnf(refute_0_2154,plain,
( multiply(X_86,add(multiply(X_86,X_177),X_88)) != multiply(add(X_88,X_177),X_86)
| add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) != add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))
| add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))),add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))) ),[1,1],$fot(multiply(add(X_88,X_177),X_86))]]) ).
cnf(refute_0_2155,plain,
( multiply(X_86,add(multiply(X_86,X_177),X_88)) != multiply(add(X_88,X_177),X_86)
| add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))),add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))) )],[refute_0_2153,refute_0_2154]) ).
cnf(refute_0_2156,plain,
add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)),
inference(resolve,[$cnf( $equal(multiply(X_86,add(multiply(X_86,X_177),X_88)),multiply(add(X_88,X_177),X_86)) )],[refute_0_2152,refute_0_2155]) ).
cnf(refute_0_2157,plain,
( add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))) != add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86))
| multiplicative_identity != add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))
| multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))) ),[1],$fot(add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)))]]) ).
cnf(refute_0_2158,plain,
( multiplicative_identity != add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))
| multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88))),add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86))) )],[refute_0_2156,refute_0_2157]) ).
cnf(refute_0_2159,plain,
multiplicative_identity = add(inverse(multiply(X_86,X_177)),multiply(add(X_88,X_177),X_86)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(X_86,X_177)),multiply(X_86,add(multiply(X_86,X_177),X_88)))) )],[refute_0_2151,refute_0_2158]) ).
cnf(refute_0_2160,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_226),inverse(multiply(X_227,X_226)))),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))),
inference(subst,[],[refute_0_2159:[bind(X_177,$fot(inverse(multiply(X_227,X_226)))),bind(X_86,$fot(inverse(X_226))),bind(X_88,$fot(X_244))]]) ).
cnf(refute_0_2161,plain,
( multiply(inverse(X_226),inverse(multiply(X_227,X_226))) != inverse(X_226)
| multiplicative_identity != add(inverse(multiply(inverse(X_226),inverse(multiply(X_227,X_226)))),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))
| multiplicative_identity = add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_226),inverse(multiply(X_227,X_226)))),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))) ),[1,0,0],$fot(inverse(X_226))]]) ).
cnf(refute_0_2162,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_226),inverse(multiply(X_227,X_226)))),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))
| multiplicative_identity = add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_226),inverse(multiply(X_227,X_226))),inverse(X_226)) )],[refute_0_2041,refute_0_2161]) ).
cnf(refute_0_2163,plain,
multiplicative_identity = add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_226),inverse(multiply(X_227,X_226)))),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))) )],[refute_0_2160,refute_0_2162]) ).
cnf(refute_0_2164,plain,
inverse(inverse(X_226)) = X_226,
inference(subst,[],[refute_0_674:[bind(X_40,$fot(X_226))]]) ).
cnf(refute_0_2165,plain,
add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))))]]) ).
cnf(refute_0_2166,plain,
( add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| inverse(inverse(X_226)) != X_226
| add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))) ),[1,0],$fot(X_226)]]) ).
cnf(refute_0_2167,plain,
( inverse(inverse(X_226)) != X_226
| add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2165,refute_0_2166]) ).
cnf(refute_0_2168,plain,
add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_226)),X_226) )],[refute_0_2164,refute_0_2167]) ).
cnf(refute_0_2169,plain,
add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(add(X_244,inverse(multiply(X_227,X_226))))),bind(X_139,$fot(inverse(inverse(X_226))))]]) ).
cnf(refute_0_2170,plain,
add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) = add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))),
inference(subst,[],[refute_0_21:[bind(X_10,$fot(inverse(X_226))),bind(X_11,$fot(add(X_244,inverse(multiply(X_227,X_226)))))]]) ).
cnf(refute_0_2171,plain,
( add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) != add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226)))
| add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))))),bind(Y0,$fot(add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))))),bind(Z0,$fot(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))))]]) ).
cnf(refute_0_2172,plain,
( add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))),add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226)))) )],[refute_0_2170,refute_0_2171]) ).
cnf(refute_0_2173,plain,
add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),
inference(resolve,[$cnf( $equal(add(add(X_244,inverse(multiply(X_227,X_226))),inverse(inverse(X_226))),add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2169,refute_0_2172]) ).
cnf(refute_0_2174,plain,
add(X_30,multiply(X_175,X_174)) = add(X_30,add(multiply(X_175,X_174),X_30)),
inference(subst,[],[refute_0_687:[bind(X_72,$fot(multiply(X_175,X_174)))]]) ).
cnf(refute_0_2175,plain,
add(multiply(X_175,X_174),X_30) = add(multiply(X_174,X_175),X_30),
inference(subst,[],[refute_0_710:[bind(X_10,$fot(X_174)),bind(X_11,$fot(X_175)),bind(X_12,$fot(X_30))]]) ).
cnf(refute_0_2176,plain,
( add(X_30,multiply(X_175,X_174)) != add(X_30,add(multiply(X_175,X_174),X_30))
| add(multiply(X_175,X_174),X_30) != add(multiply(X_174,X_175),X_30)
| add(X_30,multiply(X_175,X_174)) = add(X_30,add(multiply(X_174,X_175),X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_30,multiply(X_175,X_174)),add(X_30,add(multiply(X_175,X_174),X_30))) ),[1,1],$fot(add(multiply(X_174,X_175),X_30))]]) ).
cnf(refute_0_2177,plain,
( add(X_30,multiply(X_175,X_174)) != add(X_30,add(multiply(X_175,X_174),X_30))
| add(X_30,multiply(X_175,X_174)) = add(X_30,add(multiply(X_174,X_175),X_30)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_175,X_174),X_30),add(multiply(X_174,X_175),X_30)) )],[refute_0_2175,refute_0_2176]) ).
cnf(refute_0_2178,plain,
add(X_30,multiply(X_175,X_174)) = add(X_30,add(multiply(X_174,X_175),X_30)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_175,X_174)),add(X_30,add(multiply(X_175,X_174),X_30))) )],[refute_0_2174,refute_0_2177]) ).
cnf(refute_0_2179,plain,
( add(X_30,X_72) != add(X_30,add(X_72,X_30))
| add(X_30,add(X_72,X_30)) = add(X_30,X_72) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_30,X_72))),bind(Y0,$fot(add(X_30,add(X_72,X_30))))]]) ).
cnf(refute_0_2180,plain,
add(X_30,add(X_72,X_30)) = add(X_30,X_72),
inference(resolve,[$cnf( $equal(add(X_30,X_72),add(X_30,add(X_72,X_30))) )],[refute_0_687,refute_0_2179]) ).
cnf(refute_0_2181,plain,
add(X_30,add(multiply(X_174,X_175),X_30)) = add(X_30,multiply(X_174,X_175)),
inference(subst,[],[refute_0_2180:[bind(X_72,$fot(multiply(X_174,X_175)))]]) ).
cnf(refute_0_2182,plain,
( add(X_30,multiply(X_175,X_174)) != add(X_30,add(multiply(X_174,X_175),X_30))
| add(X_30,add(multiply(X_174,X_175),X_30)) != add(X_30,multiply(X_174,X_175))
| add(X_30,multiply(X_175,X_174)) = add(X_30,multiply(X_174,X_175)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_30,multiply(X_175,X_174)),add(X_30,multiply(X_174,X_175))) ),[0],$fot(add(X_30,add(multiply(X_174,X_175),X_30)))]]) ).
cnf(refute_0_2183,plain,
( add(X_30,multiply(X_175,X_174)) != add(X_30,add(multiply(X_174,X_175),X_30))
| add(X_30,multiply(X_175,X_174)) = add(X_30,multiply(X_174,X_175)) ),
inference(resolve,[$cnf( $equal(add(X_30,add(multiply(X_174,X_175),X_30)),add(X_30,multiply(X_174,X_175))) )],[refute_0_2181,refute_0_2182]) ).
cnf(refute_0_2184,plain,
add(X_30,multiply(X_175,X_174)) = add(X_30,multiply(X_174,X_175)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_175,X_174)),add(X_30,add(multiply(X_174,X_175),X_30))) )],[refute_0_2178,refute_0_2183]) ).
cnf(refute_0_2185,plain,
( add(X_30,multiply(X_175,X_174)) != add(X_30,multiply(X_174,X_175))
| add(X_30,multiply(X_174,X_175)) = add(X_30,multiply(X_175,X_174)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_30,multiply(X_175,X_174)))),bind(Y0,$fot(add(X_30,multiply(X_174,X_175))))]]) ).
cnf(refute_0_2186,plain,
add(X_30,multiply(X_174,X_175)) = add(X_30,multiply(X_175,X_174)),
inference(resolve,[$cnf( $equal(add(X_30,multiply(X_175,X_174)),add(X_30,multiply(X_174,X_175))) )],[refute_0_2184,refute_0_2185]) ).
cnf(refute_0_2187,plain,
add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))),
inference(subst,[],[refute_0_2186:[bind(X_174,$fot(add(X_244,inverse(multiply(X_227,X_226))))),bind(X_175,$fot(inverse(X_226))),bind(X_30,$fot(inverse(inverse(X_226))))]]) ).
cnf(refute_0_2188,plain,
( add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) != add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226)))))
| add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))))),bind(Y0,$fot(add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))))),bind(Z0,$fot(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))))]]) ).
cnf(refute_0_2189,plain,
( add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))),add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226)))))) )],[refute_0_2187,refute_0_2188]) ).
cnf(refute_0_2190,plain,
add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),multiply(inverse(X_226),add(X_244,inverse(multiply(X_227,X_226))))),add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2173,refute_0_2189]) ).
cnf(refute_0_2191,plain,
( add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) != add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) != add(X_226,add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))))),bind(Y0,$fot(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))))),bind(Z0,$fot(add(X_226,add(X_244,inverse(multiply(X_227,X_226))))))]]) ).
cnf(refute_0_2192,plain,
( add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))) != add(X_226,add(X_244,inverse(multiply(X_227,X_226))))
| add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))),add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2190,refute_0_2191]) ).
cnf(refute_0_2193,plain,
add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),add(X_244,inverse(multiply(X_227,X_226)))),add(X_226,add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2168,refute_0_2192]) ).
cnf(refute_0_2194,plain,
( add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))) != add(X_226,add(X_244,inverse(multiply(X_227,X_226))))
| multiplicative_identity != add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))
| multiplicative_identity = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))) ),[1],$fot(add(X_226,add(X_244,inverse(multiply(X_227,X_226)))))]]) ).
cnf(refute_0_2195,plain,
( multiplicative_identity != add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))
| multiplicative_identity = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226))),add(X_226,add(X_244,inverse(multiply(X_227,X_226))))) )],[refute_0_2193,refute_0_2194]) ).
cnf(refute_0_2196,plain,
multiplicative_identity = add(X_226,add(X_244,inverse(multiply(X_227,X_226)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(inverse(X_226)),multiply(add(X_244,inverse(multiply(X_227,X_226))),inverse(X_226)))) )],[refute_0_2163,refute_0_2195]) ).
cnf(refute_0_2197,plain,
multiplicative_identity = add(X_59,add(X_337,inverse(multiply(X_336,X_59)))),
inference(subst,[],[refute_0_2196:[bind(X_226,$fot(X_59)),bind(X_227,$fot(X_336)),bind(X_244,$fot(X_337))]]) ).
cnf(refute_0_2198,plain,
( multiplicative_identity != add(X_59,add(X_337,inverse(multiply(X_336,X_59))))
| add(X_59,add(X_337,inverse(multiply(X_336,X_59)))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_59,add(X_337,inverse(multiply(X_336,X_59))))))]]) ).
cnf(refute_0_2199,plain,
add(X_59,add(X_337,inverse(multiply(X_336,X_59)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_59,add(X_337,inverse(multiply(X_336,X_59))))) )],[refute_0_2197,refute_0_2198]) ).
cnf(refute_0_2200,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),add(X_59,add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| add(X_59,add(X_337,inverse(multiply(X_336,X_59)))) != multiplicative_identity
| multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),add(X_59,add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2201,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),add(X_59,add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) ),
inference(resolve,[$cnf( $equal(add(X_59,add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) )],[refute_0_2199,refute_0_2200]) ).
cnf(refute_0_2202,plain,
multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),add(X_59,add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) )],[refute_0_2144,refute_0_2201]) ).
cnf(refute_0_2203,plain,
multiply(multiply(X_336,X_59),inverse(X_337)) = multiply(X_336,multiply(inverse(X_337),X_59)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(inverse(X_337))),bind(X_260,$fot(X_59)),bind(X_261,$fot(X_336))]]) ).
cnf(refute_0_2204,plain,
add(X_236,inverse(X_237)) = add(inverse(X_237),X_236),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_236)),bind(Y,$fot(inverse(X_237)))]]) ).
cnf(refute_0_2205,plain,
( add(X_236,inverse(X_237)) != add(inverse(X_237),X_236)
| add(inverse(X_237),X_236) = add(X_236,inverse(X_237)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_236,inverse(X_237)))),bind(Y0,$fot(add(inverse(X_237),X_236)))]]) ).
cnf(refute_0_2206,plain,
add(inverse(X_237),X_236) = add(X_236,inverse(X_237)),
inference(resolve,[$cnf( $equal(add(X_236,inverse(X_237)),add(inverse(X_237),X_236)) )],[refute_0_2204,refute_0_2205]) ).
cnf(refute_0_2207,plain,
( add(inverse(X_237),X_236) != add(X_236,inverse(X_237))
| inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(multiply(X_237,X_236))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(multiply(X_237,X_236)))) ),[0,0],$fot(add(X_236,inverse(X_237)))]]) ).
cnf(refute_0_2208,plain,
( inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(multiply(X_237,X_236))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_237),X_236),add(X_236,inverse(X_237))) )],[refute_0_2206,refute_0_2207]) ).
cnf(refute_0_2209,plain,
inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(multiply(X_237,X_236))),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(multiply(X_237,X_236)))) )],[refute_0_1393,refute_0_2208]) ).
cnf(refute_0_2210,plain,
( inverse(add(inverse(X_40),X_203)) != multiply(X_40,inverse(multiply(X_40,X_203)))
| multiply(X_40,inverse(multiply(X_40,X_203))) = inverse(add(inverse(X_40),X_203)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(inverse(X_40),X_203)))),bind(Y0,$fot(multiply(X_40,inverse(multiply(X_40,X_203)))))]]) ).
cnf(refute_0_2211,plain,
multiply(X_40,inverse(multiply(X_40,X_203))) = inverse(add(inverse(X_40),X_203)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_40),X_203)),multiply(X_40,inverse(multiply(X_40,X_203)))) )],[refute_0_1392,refute_0_2210]) ).
cnf(refute_0_2212,plain,
multiply(X_237,inverse(multiply(X_237,X_236))) = inverse(add(inverse(X_237),X_236)),
inference(subst,[],[refute_0_2211:[bind(X_203,$fot(X_236)),bind(X_40,$fot(X_237))]]) ).
cnf(refute_0_2213,plain,
( multiply(X_237,inverse(multiply(X_237,X_236))) != inverse(add(inverse(X_237),X_236))
| inverse(add(X_236,inverse(X_237))) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(X_236,inverse(X_237))) = inverse(add(inverse(X_237),X_236)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_236,inverse(X_237))),multiply(X_237,inverse(multiply(X_237,X_236)))) ),[1],$fot(inverse(add(inverse(X_237),X_236)))]]) ).
cnf(refute_0_2214,plain,
( inverse(add(X_236,inverse(X_237))) != multiply(X_237,inverse(multiply(X_237,X_236)))
| inverse(add(X_236,inverse(X_237))) = inverse(add(inverse(X_237),X_236)) ),
inference(resolve,[$cnf( $equal(multiply(X_237,inverse(multiply(X_237,X_236))),inverse(add(inverse(X_237),X_236))) )],[refute_0_2212,refute_0_2213]) ).
cnf(refute_0_2215,plain,
inverse(add(X_236,inverse(X_237))) = inverse(add(inverse(X_237),X_236)),
inference(resolve,[$cnf( $equal(inverse(add(X_236,inverse(X_237))),multiply(X_237,inverse(multiply(X_237,X_236)))) )],[refute_0_2209,refute_0_2214]) ).
cnf(refute_0_2216,plain,
inverse(add(inverse(X_237),X_236)) = multiply(X_237,inverse(X_236)),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(X_236)),bind(X_306,$fot(X_237))]]) ).
cnf(refute_0_2217,plain,
( inverse(add(X_236,inverse(X_237))) != inverse(add(inverse(X_237),X_236))
| inverse(add(inverse(X_237),X_236)) != multiply(X_237,inverse(X_236))
| inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(X_236)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(inverse(add(X_236,inverse(X_237))),multiply(X_237,inverse(X_236))) ),[0],$fot(inverse(add(inverse(X_237),X_236)))]]) ).
cnf(refute_0_2218,plain,
( inverse(add(X_236,inverse(X_237))) != inverse(add(inverse(X_237),X_236))
| inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(X_236)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_237),X_236)),multiply(X_237,inverse(X_236))) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
inverse(add(X_236,inverse(X_237))) = multiply(X_237,inverse(X_236)),
inference(resolve,[$cnf( $equal(inverse(add(X_236,inverse(X_237))),inverse(add(inverse(X_237),X_236))) )],[refute_0_2215,refute_0_2218]) ).
cnf(refute_0_2220,plain,
inverse(add(X_337,inverse(multiply(X_336,X_59)))) = multiply(multiply(X_336,X_59),inverse(X_337)),
inference(subst,[],[refute_0_2219:[bind(X_236,$fot(X_337)),bind(X_237,$fot(multiply(X_336,X_59)))]]) ).
cnf(refute_0_2221,plain,
( multiply(multiply(X_336,X_59),inverse(X_337)) != multiply(X_336,multiply(inverse(X_337),X_59))
| inverse(add(X_337,inverse(multiply(X_336,X_59)))) != multiply(multiply(X_336,X_59),inverse(X_337))
| inverse(add(X_337,inverse(multiply(X_336,X_59)))) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(add(X_337,inverse(multiply(X_336,X_59)))))),bind(Y0,$fot(multiply(multiply(X_336,X_59),inverse(X_337)))),bind(Z0,$fot(multiply(X_336,multiply(inverse(X_337),X_59))))]]) ).
cnf(refute_0_2222,plain,
( multiply(multiply(X_336,X_59),inverse(X_337)) != multiply(X_336,multiply(inverse(X_337),X_59))
| inverse(add(X_337,inverse(multiply(X_336,X_59)))) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiply(multiply(X_336,X_59),inverse(X_337))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
inverse(add(X_337,inverse(multiply(X_336,X_59)))) = multiply(X_336,multiply(inverse(X_337),X_59)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_336,X_59),inverse(X_337)),multiply(X_336,multiply(inverse(X_337),X_59))) )],[refute_0_2203,refute_0_2222]) ).
cnf(refute_0_2224,plain,
multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = inverse(add(X_337,inverse(multiply(X_336,X_59)))),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(add(X_337,inverse(multiply(X_336,X_59))))))]]) ).
cnf(refute_0_2225,plain,
( multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != inverse(add(X_337,inverse(multiply(X_336,X_59))))
| inverse(add(X_337,inverse(multiply(X_336,X_59)))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))))),bind(Y0,$fot(inverse(add(X_337,inverse(multiply(X_336,X_59)))))),bind(Z0,$fot(multiply(X_336,multiply(inverse(X_337),X_59))))]]) ).
cnf(refute_0_2226,plain,
( inverse(add(X_337,inverse(multiply(X_336,X_59)))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))),inverse(add(X_337,inverse(multiply(X_336,X_59))))) )],[refute_0_2224,refute_0_2225]) ).
cnf(refute_0_2227,plain,
multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(inverse(X_337),X_59)),
inference(resolve,[$cnf( $equal(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiply(X_336,multiply(inverse(X_337),X_59))) )],[refute_0_2223,refute_0_2226]) ).
cnf(refute_0_2228,plain,
multiply(add(multiply(X_269,X_270),add(X_270,X_271)),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) = multiply(X_269,X_270),
inference(subst,[],[refute_0_1523:[bind(X_222,$fot(multiply(X_269,X_270))),bind(X_31,$fot(add(X_270,X_271)))]]) ).
cnf(refute_0_2229,plain,
add(multiply(X,Y),add(Y,X_83)) = multiply(add(X,add(Y,X_83)),add(Y,add(Y,X_83))),
inference(subst,[],[distributivity1:[bind(Z,$fot(add(Y,X_83)))]]) ).
cnf(refute_0_2230,plain,
add(Y,X_83) = add(Y,add(Y,X_83)),
inference(subst,[],[refute_0_2012:[bind(X_73,$fot(Y)),bind(X_74,$fot(X_83))]]) ).
cnf(refute_0_2231,plain,
( add(Y,X_83) != add(Y,add(Y,X_83))
| add(Y,add(Y,X_83)) = add(Y,X_83) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,X_83))),bind(Y0,$fot(add(Y,add(Y,X_83))))]]) ).
cnf(refute_0_2232,plain,
add(Y,add(Y,X_83)) = add(Y,X_83),
inference(resolve,[$cnf( $equal(add(Y,X_83),add(Y,add(Y,X_83))) )],[refute_0_2230,refute_0_2231]) ).
cnf(refute_0_2233,plain,
( add(Y,add(Y,X_83)) != add(Y,X_83)
| add(multiply(X,Y),add(Y,X_83)) != multiply(add(X,add(Y,X_83)),add(Y,add(Y,X_83)))
| add(multiply(X,Y),add(Y,X_83)) = multiply(add(X,add(Y,X_83)),add(Y,X_83)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),add(Y,X_83)),multiply(add(X,add(Y,X_83)),add(Y,add(Y,X_83)))) ),[1,1],$fot(add(Y,X_83))]]) ).
cnf(refute_0_2234,plain,
( add(multiply(X,Y),add(Y,X_83)) != multiply(add(X,add(Y,X_83)),add(Y,add(Y,X_83)))
| add(multiply(X,Y),add(Y,X_83)) = multiply(add(X,add(Y,X_83)),add(Y,X_83)) ),
inference(resolve,[$cnf( $equal(add(Y,add(Y,X_83)),add(Y,X_83)) )],[refute_0_2232,refute_0_2233]) ).
cnf(refute_0_2235,plain,
add(multiply(X,Y),add(Y,X_83)) = multiply(add(X,add(Y,X_83)),add(Y,X_83)),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(Y,X_83)),multiply(add(X,add(Y,X_83)),add(Y,add(Y,X_83)))) )],[refute_0_2229,refute_0_2234]) ).
cnf(refute_0_2236,plain,
add(multiply(X,multiply(X_13,additive_identity)),Z) = multiply(add(X,Z),add(multiply(X_13,additive_identity),Z)),
inference(subst,[],[distributivity1:[bind(Y,$fot(multiply(X_13,additive_identity)))]]) ).
cnf(refute_0_2237,plain,
add(multiply(X_13,additive_identity),Z) = multiply(Z,add(X_13,Z)),
inference(subst,[],[refute_0_171:[bind(X_10,$fot(X_13)),bind(X_12,$fot(Z))]]) ).
cnf(refute_0_2238,plain,
( add(multiply(X,multiply(X_13,additive_identity)),Z) != multiply(add(X,Z),add(multiply(X_13,additive_identity),Z))
| add(multiply(X_13,additive_identity),Z) != multiply(Z,add(X_13,Z))
| add(multiply(X,multiply(X_13,additive_identity)),Z) = multiply(add(X,Z),multiply(Z,add(X_13,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),multiply(add(X,Z),add(multiply(X_13,additive_identity),Z))) ),[1,1],$fot(multiply(Z,add(X_13,Z)))]]) ).
cnf(refute_0_2239,plain,
( add(multiply(X,multiply(X_13,additive_identity)),Z) != multiply(add(X,Z),add(multiply(X_13,additive_identity),Z))
| add(multiply(X,multiply(X_13,additive_identity)),Z) = multiply(add(X,Z),multiply(Z,add(X_13,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),Z),multiply(Z,add(X_13,Z))) )],[refute_0_2237,refute_0_2238]) ).
cnf(refute_0_2240,plain,
add(multiply(X,multiply(X_13,additive_identity)),Z) = multiply(add(X,Z),multiply(Z,add(X_13,Z))),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),multiply(add(X,Z),add(multiply(X_13,additive_identity),Z))) )],[refute_0_2236,refute_0_2239]) ).
cnf(refute_0_2241,plain,
add(additive_identity,Z) = Z,
inference(subst,[],[additive_id2:[bind(X,$fot(Z))]]) ).
cnf(refute_0_2242,plain,
multiply(X,additive_identity) = additive_identity,
inference(subst,[],[refute_0_488:[bind(X_10,$fot(X))]]) ).
cnf(refute_0_2243,plain,
multiply(X,multiply(X_13,additive_identity)) = multiply(X,multiply(X_13,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(X,multiply(X_13,additive_identity)))]]) ).
cnf(refute_0_2244,plain,
( multiply(X,multiply(X_13,additive_identity)) != multiply(X,multiply(X_13,additive_identity))
| multiply(X_13,additive_identity) != additive_identity
| multiply(X,multiply(X_13,additive_identity)) = multiply(X,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(X_13,additive_identity)),multiply(X,multiply(X_13,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2245,plain,
( multiply(X_13,additive_identity) != additive_identity
| multiply(X,multiply(X_13,additive_identity)) = multiply(X,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_13,additive_identity)),multiply(X,multiply(X_13,additive_identity))) )],[refute_0_2243,refute_0_2244]) ).
cnf(refute_0_2246,plain,
multiply(X,multiply(X_13,additive_identity)) = multiply(X,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_13,additive_identity),additive_identity) )],[refute_0_489,refute_0_2245]) ).
cnf(refute_0_2247,plain,
( multiply(X,multiply(X_13,additive_identity)) != multiply(X,additive_identity)
| multiply(X,additive_identity) != additive_identity
| multiply(X,multiply(X_13,additive_identity)) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X,multiply(X_13,additive_identity)))),bind(Y0,$fot(multiply(X,additive_identity))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2248,plain,
( multiply(X,additive_identity) != additive_identity
| multiply(X,multiply(X_13,additive_identity)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_13,additive_identity)),multiply(X,additive_identity)) )],[refute_0_2246,refute_0_2247]) ).
cnf(refute_0_2249,plain,
multiply(X,multiply(X_13,additive_identity)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X,additive_identity),additive_identity) )],[refute_0_2242,refute_0_2248]) ).
cnf(refute_0_2250,plain,
add(multiply(X,multiply(X_13,additive_identity)),Z) = add(multiply(X,multiply(X_13,additive_identity)),Z),
introduced(tautology,[refl,[$fot(add(multiply(X,multiply(X_13,additive_identity)),Z))]]) ).
cnf(refute_0_2251,plain,
( multiply(X,multiply(X_13,additive_identity)) != additive_identity
| add(multiply(X,multiply(X_13,additive_identity)),Z) != add(multiply(X,multiply(X_13,additive_identity)),Z)
| add(multiply(X,multiply(X_13,additive_identity)),Z) = add(additive_identity,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),add(multiply(X,multiply(X_13,additive_identity)),Z)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2252,plain,
( multiply(X,multiply(X_13,additive_identity)) != additive_identity
| add(multiply(X,multiply(X_13,additive_identity)),Z) = add(additive_identity,Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),add(multiply(X,multiply(X_13,additive_identity)),Z)) )],[refute_0_2250,refute_0_2251]) ).
cnf(refute_0_2253,plain,
add(multiply(X,multiply(X_13,additive_identity)),Z) = add(additive_identity,Z),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X_13,additive_identity)),additive_identity) )],[refute_0_2249,refute_0_2252]) ).
cnf(refute_0_2254,plain,
( add(multiply(X,multiply(X_13,additive_identity)),Z) != add(additive_identity,Z)
| add(additive_identity,Z) != Z
| add(multiply(X,multiply(X_13,additive_identity)),Z) = Z ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X,multiply(X_13,additive_identity)),Z))),bind(Y0,$fot(add(additive_identity,Z))),bind(Z0,$fot(Z))]]) ).
cnf(refute_0_2255,plain,
( add(additive_identity,Z) != Z
| add(multiply(X,multiply(X_13,additive_identity)),Z) = Z ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),add(additive_identity,Z)) )],[refute_0_2253,refute_0_2254]) ).
cnf(refute_0_2256,plain,
add(multiply(X,multiply(X_13,additive_identity)),Z) = Z,
inference(resolve,[$cnf( $equal(add(additive_identity,Z),Z) )],[refute_0_2241,refute_0_2255]) ).
cnf(refute_0_2257,plain,
( add(multiply(X,multiply(X_13,additive_identity)),Z) != Z
| add(multiply(X,multiply(X_13,additive_identity)),Z) != multiply(add(X,Z),multiply(Z,add(X_13,Z)))
| Z = multiply(add(X,Z),multiply(Z,add(X_13,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),multiply(add(X,Z),multiply(Z,add(X_13,Z)))) ),[0],$fot(Z)]]) ).
cnf(refute_0_2258,plain,
( add(multiply(X,multiply(X_13,additive_identity)),Z) != multiply(add(X,Z),multiply(Z,add(X_13,Z)))
| Z = multiply(add(X,Z),multiply(Z,add(X_13,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),Z) )],[refute_0_2256,refute_0_2257]) ).
cnf(refute_0_2259,plain,
Z = multiply(add(X,Z),multiply(Z,add(X_13,Z))),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_13,additive_identity)),Z),multiply(add(X,Z),multiply(Z,add(X_13,Z)))) )],[refute_0_2240,refute_0_2258]) ).
cnf(refute_0_2260,plain,
multiply(add(X,Z),Z) = multiply(Z,add(X,Z)),
inference(subst,[],[refute_0_134:[bind(X,$fot(Z)),bind(Y,$fot(add(X,Z)))]]) ).
cnf(refute_0_2261,plain,
add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_32)),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(X_10,additive_identity))),bind(Y,$fot(X_31)),bind(Z,$fot(X_32))]]) ).
cnf(refute_0_2262,plain,
add(multiply(X_10,additive_identity),X_32) = multiply(X_32,add(X_10,X_32)),
inference(subst,[],[refute_0_171:[bind(X_12,$fot(X_32))]]) ).
cnf(refute_0_2263,plain,
( add(multiply(X_10,additive_identity),X_32) != multiply(X_32,add(X_10,X_32))
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_32))
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),multiply(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_32))) ),[1,1],$fot(multiply(X_32,add(X_10,X_32)))]]) ).
cnf(refute_0_2264,plain,
( add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_32))
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_32),multiply(X_32,add(X_10,X_32))) )],[refute_0_2262,refute_0_2263]) ).
cnf(refute_0_2265,plain,
add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),multiply(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_32))) )],[refute_0_2261,refute_0_2264]) ).
cnf(refute_0_2266,plain,
add(additive_identity,multiply(X_31,X_32)) = multiply(X_31,X_32),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_2267,plain,
add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = add(multiply(X_10,additive_identity),multiply(X_31,X_32)),
introduced(tautology,[refl,[$fot(add(multiply(X_10,additive_identity),multiply(X_31,X_32)))]]) ).
cnf(refute_0_2268,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != add(multiply(X_10,additive_identity),multiply(X_31,X_32))
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = add(additive_identity,multiply(X_31,X_32)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),add(multiply(X_10,additive_identity),multiply(X_31,X_32))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2269,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = add(additive_identity,multiply(X_31,X_32)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),add(multiply(X_10,additive_identity),multiply(X_31,X_32))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = add(additive_identity,multiply(X_31,X_32)),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),additive_identity) )],[refute_0_488,refute_0_2269]) ).
cnf(refute_0_2271,plain,
( add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != add(additive_identity,multiply(X_31,X_32))
| add(additive_identity,multiply(X_31,X_32)) != multiply(X_31,X_32)
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(X_31,X_32) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_10,additive_identity),multiply(X_31,X_32)))),bind(Y0,$fot(add(additive_identity,multiply(X_31,X_32)))),bind(Z0,$fot(multiply(X_31,X_32)))]]) ).
cnf(refute_0_2272,plain,
( add(additive_identity,multiply(X_31,X_32)) != multiply(X_31,X_32)
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(X_31,X_32) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),add(additive_identity,multiply(X_31,X_32))) )],[refute_0_2270,refute_0_2271]) ).
cnf(refute_0_2273,plain,
add(multiply(X_10,additive_identity),multiply(X_31,X_32)) = multiply(X_31,X_32),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_31,X_32)),multiply(X_31,X_32)) )],[refute_0_2266,refute_0_2272]) ).
cnf(refute_0_2274,plain,
( add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(X_31,X_32)
| add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| multiply(X_31,X_32) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))) ),[0],$fot(multiply(X_31,X_32))]]) ).
cnf(refute_0_2275,plain,
( add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| multiply(X_31,X_32) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),multiply(X_31,X_32)) )],[refute_0_2273,refute_0_2274]) ).
cnf(refute_0_2276,plain,
add(additive_identity,X_31) = X_31,
inference(subst,[],[additive_id2:[bind(X,$fot(X_31))]]) ).
cnf(refute_0_2277,plain,
add(multiply(X_10,additive_identity),X_31) = add(multiply(X_10,additive_identity),X_31),
introduced(tautology,[refl,[$fot(add(multiply(X_10,additive_identity),X_31))]]) ).
cnf(refute_0_2278,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_31) != add(multiply(X_10,additive_identity),X_31)
| add(multiply(X_10,additive_identity),X_31) = add(additive_identity,X_31) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_31)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2279,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_31) = add(additive_identity,X_31) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_31),add(multiply(X_10,additive_identity),X_31)) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
add(multiply(X_10,additive_identity),X_31) = add(additive_identity,X_31),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),additive_identity) )],[refute_0_488,refute_0_2279]) ).
cnf(refute_0_2281,plain,
( add(multiply(X_10,additive_identity),X_31) != add(additive_identity,X_31)
| add(additive_identity,X_31) != X_31
| add(multiply(X_10,additive_identity),X_31) = X_31 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_10,additive_identity),X_31))),bind(Y0,$fot(add(additive_identity,X_31))),bind(Z0,$fot(X_31))]]) ).
cnf(refute_0_2282,plain,
( add(additive_identity,X_31) != X_31
| add(multiply(X_10,additive_identity),X_31) = X_31 ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_31),add(additive_identity,X_31)) )],[refute_0_2280,refute_0_2281]) ).
cnf(refute_0_2283,plain,
add(multiply(X_10,additive_identity),X_31) = X_31,
inference(resolve,[$cnf( $equal(add(additive_identity,X_31),X_31) )],[refute_0_2276,refute_0_2282]) ).
cnf(refute_0_2284,plain,
multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) = multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))),
introduced(tautology,[refl,[$fot(multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))))]]) ).
cnf(refute_0_2285,plain,
( multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| add(multiply(X_10,additive_identity),X_31) != X_31
| multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) = multiply(X_31,multiply(X_32,add(X_10,X_32))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))),multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))) ),[1,0],$fot(X_31)]]) ).
cnf(refute_0_2286,plain,
( add(multiply(X_10,additive_identity),X_31) != X_31
| multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) = multiply(X_31,multiply(X_32,add(X_10,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))),multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) = multiply(X_31,multiply(X_32,add(X_10,X_32))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_31),X_31) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( multiply(X_31,X_32) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))) != multiply(X_31,multiply(X_32,add(X_10,X_32)))
| multiply(X_31,X_32) = multiply(X_31,multiply(X_32,add(X_10,X_32))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_31,X_32),multiply(X_31,multiply(X_32,add(X_10,X_32)))) ),[0],$fot(multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))))]]) ).
cnf(refute_0_2289,plain,
( multiply(X_31,X_32) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| multiply(X_31,X_32) = multiply(X_31,multiply(X_32,add(X_10,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32))),multiply(X_31,multiply(X_32,add(X_10,X_32)))) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
( add(multiply(X_10,additive_identity),multiply(X_31,X_32)) != multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))
| multiply(X_31,X_32) = multiply(X_31,multiply(X_32,add(X_10,X_32))) ),
inference(resolve,[$cnf( $equal(multiply(X_31,X_32),multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))) )],[refute_0_2275,refute_0_2289]) ).
cnf(refute_0_2291,plain,
multiply(X_31,X_32) = multiply(X_31,multiply(X_32,add(X_10,X_32))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_31,X_32)),multiply(add(multiply(X_10,additive_identity),X_31),multiply(X_32,add(X_10,X_32)))) )],[refute_0_2265,refute_0_2290]) ).
cnf(refute_0_2292,plain,
( multiply(X_31,X_32) != multiply(X_31,multiply(X_32,add(X_10,X_32)))
| multiply(X_31,multiply(X_32,add(X_10,X_32))) = multiply(X_31,X_32) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_31,X_32))),bind(Y0,$fot(multiply(X_31,multiply(X_32,add(X_10,X_32)))))]]) ).
cnf(refute_0_2293,plain,
multiply(X_31,multiply(X_32,add(X_10,X_32))) = multiply(X_31,X_32),
inference(resolve,[$cnf( $equal(multiply(X_31,X_32),multiply(X_31,multiply(X_32,add(X_10,X_32)))) )],[refute_0_2291,refute_0_2292]) ).
cnf(refute_0_2294,plain,
multiply(add(X,Z),multiply(Z,add(X_13,Z))) = multiply(add(X,Z),Z),
inference(subst,[],[refute_0_2293:[bind(X_10,$fot(X_13)),bind(X_31,$fot(add(X,Z))),bind(X_32,$fot(Z))]]) ).
cnf(refute_0_2295,plain,
( multiply(add(X,Z),Z) != multiply(Z,add(X,Z))
| multiply(add(X,Z),multiply(Z,add(X_13,Z))) != multiply(add(X,Z),Z)
| multiply(add(X,Z),multiply(Z,add(X_13,Z))) = multiply(Z,add(X,Z)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X,Z),multiply(Z,add(X_13,Z))))),bind(Y0,$fot(multiply(add(X,Z),Z))),bind(Z0,$fot(multiply(Z,add(X,Z))))]]) ).
cnf(refute_0_2296,plain,
( multiply(add(X,Z),Z) != multiply(Z,add(X,Z))
| multiply(add(X,Z),multiply(Z,add(X_13,Z))) = multiply(Z,add(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Z),multiply(Z,add(X_13,Z))),multiply(add(X,Z),Z)) )],[refute_0_2294,refute_0_2295]) ).
cnf(refute_0_2297,plain,
multiply(add(X,Z),multiply(Z,add(X_13,Z))) = multiply(Z,add(X,Z)),
inference(resolve,[$cnf( $equal(multiply(add(X,Z),Z),multiply(Z,add(X,Z))) )],[refute_0_2260,refute_0_2296]) ).
cnf(refute_0_2298,plain,
( Z != multiply(add(X,Z),multiply(Z,add(X_13,Z)))
| multiply(add(X,Z),multiply(Z,add(X_13,Z))) != multiply(Z,add(X,Z))
| Z = multiply(Z,add(X,Z)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(Z,multiply(Z,add(X,Z))) ),[0],$fot(multiply(add(X,Z),multiply(Z,add(X_13,Z))))]]) ).
cnf(refute_0_2299,plain,
( Z != multiply(add(X,Z),multiply(Z,add(X_13,Z)))
| Z = multiply(Z,add(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Z),multiply(Z,add(X_13,Z))),multiply(Z,add(X,Z))) )],[refute_0_2297,refute_0_2298]) ).
cnf(refute_0_2300,plain,
Z = multiply(Z,add(X,Z)),
inference(resolve,[$cnf( $equal(Z,multiply(add(X,Z),multiply(Z,add(X_13,Z)))) )],[refute_0_2259,refute_0_2299]) ).
cnf(refute_0_2301,plain,
( Z != multiply(Z,add(X,Z))
| multiply(Z,add(X,Z)) = Z ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Z)),bind(Y0,$fot(multiply(Z,add(X,Z))))]]) ).
cnf(refute_0_2302,plain,
multiply(Z,add(X,Z)) = Z,
inference(resolve,[$cnf( $equal(Z,multiply(Z,add(X,Z))) )],[refute_0_2300,refute_0_2301]) ).
cnf(refute_0_2303,plain,
multiply(add(Y,X_83),add(X,add(Y,X_83))) = add(Y,X_83),
inference(subst,[],[refute_0_2302:[bind(Z,$fot(add(Y,X_83)))]]) ).
cnf(refute_0_2304,plain,
multiply(add(X,add(Y,X_83)),add(Y,X_83)) = multiply(add(Y,X_83),add(X,add(Y,X_83))),
inference(subst,[],[refute_0_134:[bind(X,$fot(add(Y,X_83))),bind(Y,$fot(add(X,add(Y,X_83))))]]) ).
cnf(refute_0_2305,plain,
( multiply(add(X,add(Y,X_83)),add(Y,X_83)) != multiply(add(Y,X_83),add(X,add(Y,X_83)))
| multiply(add(Y,X_83),add(X,add(Y,X_83))) != add(Y,X_83)
| multiply(add(X,add(Y,X_83)),add(Y,X_83)) = add(Y,X_83) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X,add(Y,X_83)),add(Y,X_83)))),bind(Y0,$fot(multiply(add(Y,X_83),add(X,add(Y,X_83))))),bind(Z0,$fot(add(Y,X_83)))]]) ).
cnf(refute_0_2306,plain,
( multiply(add(Y,X_83),add(X,add(Y,X_83))) != add(Y,X_83)
| multiply(add(X,add(Y,X_83)),add(Y,X_83)) = add(Y,X_83) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(Y,X_83)),add(Y,X_83)),multiply(add(Y,X_83),add(X,add(Y,X_83)))) )],[refute_0_2304,refute_0_2305]) ).
cnf(refute_0_2307,plain,
multiply(add(X,add(Y,X_83)),add(Y,X_83)) = add(Y,X_83),
inference(resolve,[$cnf( $equal(multiply(add(Y,X_83),add(X,add(Y,X_83))),add(Y,X_83)) )],[refute_0_2303,refute_0_2306]) ).
cnf(refute_0_2308,plain,
( multiply(add(X,add(Y,X_83)),add(Y,X_83)) != add(Y,X_83)
| add(multiply(X,Y),add(Y,X_83)) != multiply(add(X,add(Y,X_83)),add(Y,X_83))
| add(multiply(X,Y),add(Y,X_83)) = add(Y,X_83) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),add(Y,X_83)),multiply(add(X,add(Y,X_83)),add(Y,X_83))) ),[1],$fot(add(Y,X_83))]]) ).
cnf(refute_0_2309,plain,
( add(multiply(X,Y),add(Y,X_83)) != multiply(add(X,add(Y,X_83)),add(Y,X_83))
| add(multiply(X,Y),add(Y,X_83)) = add(Y,X_83) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(Y,X_83)),add(Y,X_83)),add(Y,X_83)) )],[refute_0_2307,refute_0_2308]) ).
cnf(refute_0_2310,plain,
add(multiply(X,Y),add(Y,X_83)) = add(Y,X_83),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(Y,X_83)),multiply(add(X,add(Y,X_83)),add(Y,X_83))) )],[refute_0_2235,refute_0_2309]) ).
cnf(refute_0_2311,plain,
add(multiply(X_269,X_270),add(X_270,X_271)) = add(X_270,X_271),
inference(subst,[],[refute_0_2310:[bind(X,$fot(X_269)),bind(Y,$fot(X_270)),bind(X_83,$fot(X_271))]]) ).
cnf(refute_0_2312,plain,
( multiply(add(multiply(X_269,X_270),add(X_270,X_271)),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) != multiply(X_269,X_270)
| add(multiply(X_269,X_270),add(X_270,X_271)) != add(X_270,X_271)
| multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) = multiply(X_269,X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_269,X_270),add(X_270,X_271)),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))),multiply(X_269,X_270)) ),[0,0],$fot(add(X_270,X_271))]]) ).
cnf(refute_0_2313,plain,
( multiply(add(multiply(X_269,X_270),add(X_270,X_271)),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) != multiply(X_269,X_270)
| multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) = multiply(X_269,X_270) ),
inference(resolve,[$cnf( $equal(add(multiply(X_269,X_270),add(X_270,X_271)),add(X_270,X_271)) )],[refute_0_2311,refute_0_2312]) ).
cnf(refute_0_2314,plain,
multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) = multiply(X_269,X_270),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_269,X_270),add(X_270,X_271)),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))),multiply(X_269,X_270)) )],[refute_0_2228,refute_0_2313]) ).
cnf(refute_0_2315,plain,
multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) = inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))),
inference(subst,[],[refute_0_2211:[bind(X_203,$fot(inverse(multiply(X_269,X_270)))),bind(X_40,$fot(add(X_270,X_271)))]]) ).
cnf(refute_0_2316,plain,
( multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) != multiply(X_269,X_270)
| multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) != inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270))))
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_269,X_270) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))),multiply(X_269,X_270)) ),[0],$fot(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))))]]) ).
cnf(refute_0_2317,plain,
( multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))) != multiply(X_269,X_270)
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_269,X_270) ),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))),inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270))))) )],[refute_0_2315,refute_0_2316]) ).
cnf(refute_0_2318,plain,
inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_269,X_270),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),inverse(multiply(add(X_270,X_271),inverse(multiply(X_269,X_270))))),multiply(X_269,X_270)) )],[refute_0_2314,refute_0_2317]) ).
cnf(refute_0_2319,plain,
multiply(X_270,multiply(add(X_270,X_271),X_269)) = multiply(X_270,X_269),
inference(subst,[],[refute_0_866:[bind(X,$fot(X_270)),bind(Y,$fot(X_271)),bind(X_177,$fot(X_269))]]) ).
cnf(refute_0_2320,plain,
multiply(multiply(Y,X_305),X_307) = multiply(multiply(Y,X_305),multiply(X_307,add(X_305,multiply(Y,X_305)))),
inference(subst,[],[refute_0_1242:[bind(X_59,$fot(X_305)),bind(X_60,$fot(multiply(Y,X_305))),bind(X_61,$fot(X_307))]]) ).
cnf(refute_0_2321,plain,
add(X_305,multiply(Y,X_305)) = X_305,
inference(subst,[],[refute_0_613:[bind(Z,$fot(X_305))]]) ).
cnf(refute_0_2322,plain,
( multiply(multiply(Y,X_305),X_307) != multiply(multiply(Y,X_305),multiply(X_307,add(X_305,multiply(Y,X_305))))
| add(X_305,multiply(Y,X_305)) != X_305
| multiply(multiply(Y,X_305),X_307) = multiply(multiply(Y,X_305),multiply(X_307,X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_305),X_307),multiply(multiply(Y,X_305),multiply(X_307,add(X_305,multiply(Y,X_305))))) ),[1,1,1],$fot(X_305)]]) ).
cnf(refute_0_2323,plain,
( multiply(multiply(Y,X_305),X_307) != multiply(multiply(Y,X_305),multiply(X_307,add(X_305,multiply(Y,X_305))))
| multiply(multiply(Y,X_305),X_307) = multiply(multiply(Y,X_305),multiply(X_307,X_305)) ),
inference(resolve,[$cnf( $equal(add(X_305,multiply(Y,X_305)),X_305) )],[refute_0_2321,refute_0_2322]) ).
cnf(refute_0_2324,plain,
multiply(multiply(Y,X_305),X_307) = multiply(multiply(Y,X_305),multiply(X_307,X_305)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_305),X_307),multiply(multiply(Y,X_305),multiply(X_307,add(X_305,multiply(Y,X_305))))) )],[refute_0_2320,refute_0_2323]) ).
cnf(refute_0_2325,plain,
multiply(multiply(Y,X_305),X_307) = multiply(Y,multiply(X_307,X_305)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_307)),bind(X_260,$fot(X_305)),bind(X_261,$fot(Y))]]) ).
cnf(refute_0_2326,plain,
( multiply(multiply(Y,X_305),X_307) != multiply(Y,multiply(X_307,X_305))
| multiply(multiply(Y,X_305),X_307) != multiply(multiply(Y,X_305),multiply(X_307,X_305))
| multiply(Y,multiply(X_307,X_305)) = multiply(multiply(Y,X_305),multiply(X_307,X_305)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,X_305),X_307),multiply(multiply(Y,X_305),multiply(X_307,X_305))) ),[0],$fot(multiply(Y,multiply(X_307,X_305)))]]) ).
cnf(refute_0_2327,plain,
( multiply(multiply(Y,X_305),X_307) != multiply(multiply(Y,X_305),multiply(X_307,X_305))
| multiply(Y,multiply(X_307,X_305)) = multiply(multiply(Y,X_305),multiply(X_307,X_305)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_305),X_307),multiply(Y,multiply(X_307,X_305))) )],[refute_0_2325,refute_0_2326]) ).
cnf(refute_0_2328,plain,
multiply(X_305,multiply(X_307,multiply(Y,X_305))) = multiply(X_307,multiply(X_305,Y)),
inference(subst,[],[refute_0_1194:[bind(X,$fot(X_305)),bind(X_86,$fot(X_307))]]) ).
cnf(refute_0_2329,plain,
multiply(multiply(X_10,X_11),X_307) = multiply(multiply(X_10,X_11),multiply(X_307,add(inverse(X_11),multiply(X_10,X_11)))),
inference(subst,[],[refute_0_1242:[bind(X_59,$fot(inverse(X_11))),bind(X_60,$fot(multiply(X_10,X_11))),bind(X_61,$fot(X_307))]]) ).
cnf(refute_0_2330,plain,
( multiply(multiply(X_10,X_11),X_307) != multiply(multiply(X_10,X_11),multiply(X_307,add(inverse(X_11),multiply(X_10,X_11))))
| add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| multiply(multiply(X_10,X_11),X_307) = multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_10,X_11),X_307),multiply(multiply(X_10,X_11),multiply(X_307,add(inverse(X_11),multiply(X_10,X_11))))) ),[1,1,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_2331,plain,
( multiply(multiply(X_10,X_11),X_307) != multiply(multiply(X_10,X_11),multiply(X_307,add(inverse(X_11),multiply(X_10,X_11))))
| multiply(multiply(X_10,X_11),X_307) = multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_49,refute_0_2330]) ).
cnf(refute_0_2332,plain,
multiply(multiply(X_10,X_11),X_307) = multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),X_307),multiply(multiply(X_10,X_11),multiply(X_307,add(inverse(X_11),multiply(X_10,X_11))))) )],[refute_0_2329,refute_0_2331]) ).
cnf(refute_0_2333,plain,
multiply(multiply(X_10,X_11),X_307) = multiply(X_10,multiply(X_307,X_11)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_307)),bind(X_260,$fot(X_11)),bind(X_261,$fot(X_10))]]) ).
cnf(refute_0_2334,plain,
( multiply(multiply(X_10,X_11),X_307) != multiply(X_10,multiply(X_307,X_11))
| multiply(multiply(X_10,X_11),X_307) != multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))
| multiply(X_10,multiply(X_307,X_11)) = multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_10,X_11),X_307),multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))) ),[0],$fot(multiply(X_10,multiply(X_307,X_11)))]]) ).
cnf(refute_0_2335,plain,
( multiply(multiply(X_10,X_11),X_307) != multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))
| multiply(X_10,multiply(X_307,X_11)) = multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),X_307),multiply(X_10,multiply(X_307,X_11))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
multiply(add(multiply(X,Y),multiply(X,Z)),multiply(multiply(X,Y),X_181)) = multiply(multiply(X,Y),X_181),
inference(subst,[],[refute_0_806:[bind(X,$fot(multiply(X,Y))),bind(Y,$fot(multiply(X,Z))),bind(X_177,$fot(X_181))]]) ).
cnf(refute_0_2337,plain,
( multiply(add(multiply(X,Y),multiply(X,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),X_181)
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(multiply(X,Y),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X,Y),multiply(X,Z)),multiply(multiply(X,Y),X_181)),multiply(multiply(X,Y),X_181)) ),[0,0],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_2338,plain,
( multiply(add(multiply(X,Y),multiply(X,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),X_181)
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(multiply(X,Y),X_181) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_281,refute_0_2337]) ).
cnf(refute_0_2339,plain,
multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(multiply(X,Y),X_181),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X,Y),multiply(X,Z)),multiply(multiply(X,Y),X_181)),multiply(multiply(X,Y),X_181)) )],[refute_0_2336,refute_0_2338]) ).
cnf(refute_0_2340,plain,
multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),
inference(subst,[],[refute_0_855:[bind(Z,$fot(multiply(X_181,add(Y,Z)))),bind(X_199,$fot(X)),bind(X_201,$fot(Y))]]) ).
cnf(refute_0_2341,plain,
multiply(multiply(X,add(Y,Z)),X_181) = multiply(X,multiply(X_181,add(Y,Z))),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_181)),bind(X_260,$fot(add(Y,Z))),bind(X_261,$fot(X))]]) ).
cnf(refute_0_2342,plain,
multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) = multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))]]) ).
cnf(refute_0_2343,plain,
( multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) != multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))
| multiply(multiply(X,add(Y,Z)),X_181) != multiply(X,multiply(X_181,add(Y,Z)))
| multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)),multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) ),[1,1],$fot(multiply(X,multiply(X_181,add(Y,Z))))]]) ).
cnf(refute_0_2344,plain,
( multiply(multiply(X,add(Y,Z)),X_181) != multiply(X,multiply(X_181,add(Y,Z)))
| multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)),multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),X_181),multiply(X,multiply(X_181,add(Y,Z)))) )],[refute_0_2341,refute_0_2344]) ).
cnf(refute_0_2346,plain,
multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),
introduced(tautology,[refl,[$fot(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))))]]) ).
cnf(refute_0_2347,plain,
( multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))) ),[1,1],$fot(multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))))]]) ).
cnf(refute_0_2348,plain,
( multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)),multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) )],[refute_0_2345,refute_0_2348]) ).
cnf(refute_0_2350,plain,
( multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) != multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))))
| multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))))),bind(Y0,$fot(multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))))),bind(Z0,$fot(multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))))]]) ).
cnf(refute_0_2351,plain,
( multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))))) )],[refute_0_2349,refute_0_2350]) ).
cnf(refute_0_2352,plain,
multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))),multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) )],[refute_0_2340,refute_0_2351]) ).
cnf(refute_0_2353,plain,
multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),
inference(subst,[],[refute_0_993:[bind(X_174,$fot(Y)),bind(X_175,$fot(multiply(multiply(X,add(Y,Z)),X_181))),bind(X_65,$fot(X))]]) ).
cnf(refute_0_2354,plain,
multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) = multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(multiply(multiply(X,add(Y,Z)),X_181))),bind(X_260,$fot(Y)),bind(X_261,$fot(X))]]) ).
cnf(refute_0_2355,plain,
( multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) != multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y))
| multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)))),bind(Y0,$fot(multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)))),bind(Z0,$fot(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))))]]) ).
cnf(refute_0_2356,plain,
( multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)),multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y))) )],[refute_0_2354,refute_0_2355]) ).
cnf(refute_0_2357,plain,
multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(multiply(multiply(X,add(Y,Z)),X_181),Y)),multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))) )],[refute_0_2353,refute_0_2356]) ).
cnf(refute_0_2358,plain,
multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)),
inference(subst,[],[refute_0_862:[bind(X_260,$fot(X_181)),bind(X_261,$fot(multiply(X,add(Y,Z)))),bind(X_65,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_2359,plain,
( multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)))),bind(Y0,$fot(multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)))),bind(Z0,$fot(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))))]]) ).
cnf(refute_0_2360,plain,
( multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)),multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181))) )],[refute_0_2358,refute_0_2359]) ).
cnf(refute_0_2361,plain,
multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),multiply(multiply(X,add(Y,Z)),X_181)),multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))) )],[refute_0_2357,refute_0_2360]) ).
cnf(refute_0_2362,plain,
( multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)))),bind(Y0,$fot(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))))),bind(Z0,$fot(multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))))]]) ).
cnf(refute_0_2363,plain,
( multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)),multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181)))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) = multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(Y,multiply(multiply(X,add(Y,Z)),X_181))),multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) )],[refute_0_2352,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))
| multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),X_181)
| multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(multiply(X,Y),X_181) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)),multiply(multiply(X,Y),X_181)) ),[0],$fot(multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))))]]) ).
cnf(refute_0_2366,plain,
( multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),X_181)
| multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(multiply(X,Y),X_181) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)),multiply(Y,multiply(X,multiply(X_181,add(Y,Z))))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
multiply(multiply(X,Y),X_181) = multiply(X,multiply(X_181,Y)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(X_181)),bind(X_260,$fot(Y)),bind(X_261,$fot(X))]]) ).
cnf(refute_0_2368,plain,
( multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) != multiply(multiply(X,Y),X_181)
| multiply(multiply(X,Y),X_181) != multiply(X,multiply(X_181,Y))
| multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(X,multiply(X_181,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),multiply(X,multiply(X_181,Y))) ),[0],$fot(multiply(multiply(X,Y),X_181))]]) ).
cnf(refute_0_2369,plain,
( multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) != multiply(multiply(X,Y),X_181)
| multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(X,multiply(X_181,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Y),X_181),multiply(X,multiply(X_181,Y))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
( multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)) != multiply(multiply(X,Y),X_181)
| multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(X,multiply(X_181,Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))),multiply(multiply(X,Y),X_181)) )],[refute_0_2366,refute_0_2369]) ).
cnf(refute_0_2371,plain,
multiply(Y,multiply(X,multiply(X_181,add(Y,Z)))) = multiply(X,multiply(X_181,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,add(Y,Z)),multiply(multiply(X,Y),X_181)),multiply(multiply(X,Y),X_181)) )],[refute_0_2339,refute_0_2370]) ).
cnf(refute_0_2372,plain,
multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))) = multiply(X_11,multiply(X_307,X_10)),
inference(subst,[],[refute_0_2371:[bind(X,$fot(X_11)),bind(Y,$fot(X_10)),bind(Z,$fot(inverse(X_11))),bind(X_181,$fot(X_307))]]) ).
cnf(refute_0_2373,plain,
multiply(X_65,add(inverse(X_65),multiply(X_284,X_286))) = multiply(X_65,multiply(X_284,X_286)),
inference(subst,[],[refute_0_747:[bind(X_67,$fot(multiply(X_284,X_286)))]]) ).
cnf(refute_0_2374,plain,
multiply(add(X_66,Y),add(X_66,X_67)) = add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)),
inference(subst,[],[distributivity4:[bind(X,$fot(add(X_66,Y))),bind(Y,$fot(X_66)),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_2375,plain,
add(X_66,multiply(Y,X_67)) = multiply(add(X_66,Y),add(X_66,X_67)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_66)),bind(Z,$fot(X_67))]]) ).
cnf(refute_0_2376,plain,
( add(X_66,multiply(Y,X_67)) != multiply(add(X_66,Y),add(X_66,X_67))
| multiply(add(X_66,Y),add(X_66,X_67)) = add(X_66,multiply(Y,X_67)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_66,multiply(Y,X_67)))),bind(Y0,$fot(multiply(add(X_66,Y),add(X_66,X_67))))]]) ).
cnf(refute_0_2377,plain,
multiply(add(X_66,Y),add(X_66,X_67)) = add(X_66,multiply(Y,X_67)),
inference(resolve,[$cnf( $equal(add(X_66,multiply(Y,X_67)),multiply(add(X_66,Y),add(X_66,X_67))) )],[refute_0_2375,refute_0_2376]) ).
cnf(refute_0_2378,plain,
( multiply(add(X_66,Y),add(X_66,X_67)) != add(X_66,multiply(Y,X_67))
| multiply(add(X_66,Y),add(X_66,X_67)) != add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))
| add(X_66,multiply(Y,X_67)) = add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_66,Y),add(X_66,X_67)),add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))) ),[0],$fot(add(X_66,multiply(Y,X_67)))]]) ).
cnf(refute_0_2379,plain,
( multiply(add(X_66,Y),add(X_66,X_67)) != add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))
| add(X_66,multiply(Y,X_67)) = add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_66,Y),add(X_66,X_67)),add(X_66,multiply(Y,X_67))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
add(X_66,multiply(Y,X_67)) = add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)),
inference(resolve,[$cnf( $equal(multiply(add(X_66,Y),add(X_66,X_67)),add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))) )],[refute_0_2374,refute_0_2379]) ).
cnf(refute_0_2381,plain,
multiply(add(X_66,X_67),add(X_66,Y)) = add(X_66,multiply(X_67,Y)),
inference(subst,[],[refute_0_186:[bind(X,$fot(X_66)),bind(Y,$fot(X_67)),bind(Z,$fot(Y))]]) ).
cnf(refute_0_2382,plain,
add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) = multiply(add(X_66,X_67),add(X_66,Y)),
inference(subst,[],[refute_0_961:[bind(X_59,$fot(X_66)),bind(X_60,$fot(X_67)),bind(X_61,$fot(add(X_66,Y)))]]) ).
cnf(refute_0_2383,plain,
( multiply(add(X_66,X_67),add(X_66,Y)) != add(X_66,multiply(X_67,Y))
| add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) != multiply(add(X_66,X_67),add(X_66,Y))
| add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)))),bind(Y0,$fot(multiply(add(X_66,X_67),add(X_66,Y)))),bind(Z0,$fot(add(X_66,multiply(X_67,Y))))]]) ).
cnf(refute_0_2384,plain,
( multiply(add(X_66,X_67),add(X_66,Y)) != add(X_66,multiply(X_67,Y))
| add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)),multiply(add(X_66,X_67),add(X_66,Y))) )],[refute_0_2382,refute_0_2383]) ).
cnf(refute_0_2385,plain,
add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)),
inference(resolve,[$cnf( $equal(multiply(add(X_66,X_67),add(X_66,Y)),add(X_66,multiply(X_67,Y))) )],[refute_0_2381,refute_0_2384]) ).
cnf(refute_0_2386,plain,
( add(multiply(X_11,X_10),X_12) != add(multiply(X_10,X_11),X_12)
| add(multiply(X_10,X_11),X_12) = add(multiply(X_11,X_10),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_11,X_10),X_12))),bind(Y0,$fot(add(multiply(X_10,X_11),X_12)))]]) ).
cnf(refute_0_2387,plain,
add(multiply(X_10,X_11),X_12) = add(multiply(X_11,X_10),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_10),X_12),add(multiply(X_10,X_11),X_12)) )],[refute_0_710,refute_0_2386]) ).
cnf(refute_0_2388,plain,
add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) = add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)),
inference(subst,[],[refute_0_2387:[bind(X_10,$fot(add(X_66,Y))),bind(X_11,$fot(X_66)),bind(X_12,$fot(multiply(add(X_66,Y),X_67)))]]) ).
cnf(refute_0_2389,plain,
( add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) != add(X_66,multiply(X_67,Y))
| add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) != add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67))
| add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)))),bind(Y0,$fot(add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)))),bind(Z0,$fot(add(X_66,multiply(X_67,Y))))]]) ).
cnf(refute_0_2390,plain,
( add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)) != add(X_66,multiply(X_67,Y))
| add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)),add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67))) )],[refute_0_2388,refute_0_2389]) ).
cnf(refute_0_2391,plain,
add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) = add(X_66,multiply(X_67,Y)),
inference(resolve,[$cnf( $equal(add(multiply(X_66,add(X_66,Y)),multiply(add(X_66,Y),X_67)),add(X_66,multiply(X_67,Y))) )],[refute_0_2385,refute_0_2390]) ).
cnf(refute_0_2392,plain,
( add(X_66,multiply(Y,X_67)) != add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))
| add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)) != add(X_66,multiply(X_67,Y))
| add(X_66,multiply(Y,X_67)) = add(X_66,multiply(X_67,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_66,multiply(Y,X_67)),add(X_66,multiply(X_67,Y))) ),[0],$fot(add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)))]]) ).
cnf(refute_0_2393,plain,
( add(X_66,multiply(Y,X_67)) != add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))
| add(X_66,multiply(Y,X_67)) = add(X_66,multiply(X_67,Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67)),add(X_66,multiply(X_67,Y))) )],[refute_0_2391,refute_0_2392]) ).
cnf(refute_0_2394,plain,
add(X_66,multiply(Y,X_67)) = add(X_66,multiply(X_67,Y)),
inference(resolve,[$cnf( $equal(add(X_66,multiply(Y,X_67)),add(multiply(add(X_66,Y),X_66),multiply(add(X_66,Y),X_67))) )],[refute_0_2380,refute_0_2393]) ).
cnf(refute_0_2395,plain,
add(inverse(X_65),multiply(X_284,X_286)) = add(inverse(X_65),multiply(X_286,X_284)),
inference(subst,[],[refute_0_2394:[bind(Y,$fot(X_284)),bind(X_66,$fot(inverse(X_65))),bind(X_67,$fot(X_286))]]) ).
cnf(refute_0_2396,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_284,X_286))) != multiply(X_65,multiply(X_284,X_286))
| add(inverse(X_65),multiply(X_284,X_286)) != add(inverse(X_65),multiply(X_286,X_284))
| multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) = multiply(X_65,multiply(X_284,X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_284,X_286))),multiply(X_65,multiply(X_284,X_286))) ),[0,1],$fot(add(inverse(X_65),multiply(X_286,X_284)))]]) ).
cnf(refute_0_2397,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_284,X_286))) != multiply(X_65,multiply(X_284,X_286))
| multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) = multiply(X_65,multiply(X_284,X_286)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_65),multiply(X_284,X_286)),add(inverse(X_65),multiply(X_286,X_284))) )],[refute_0_2395,refute_0_2396]) ).
cnf(refute_0_2398,plain,
multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) = multiply(X_65,multiply(X_284,X_286)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_284,X_286))),multiply(X_65,multiply(X_284,X_286))) )],[refute_0_2373,refute_0_2397]) ).
cnf(refute_0_2399,plain,
multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) = multiply(X_65,multiply(X_286,X_284)),
inference(subst,[],[refute_0_747:[bind(X_67,$fot(multiply(X_286,X_284)))]]) ).
cnf(refute_0_2400,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) != multiply(X_65,multiply(X_284,X_286))
| multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) != multiply(X_65,multiply(X_286,X_284))
| multiply(X_65,multiply(X_286,X_284)) = multiply(X_65,multiply(X_284,X_286)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))),multiply(X_65,multiply(X_284,X_286))) ),[0],$fot(multiply(X_65,multiply(X_286,X_284)))]]) ).
cnf(refute_0_2401,plain,
( multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))) != multiply(X_65,multiply(X_284,X_286))
| multiply(X_65,multiply(X_286,X_284)) = multiply(X_65,multiply(X_284,X_286)) ),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))),multiply(X_65,multiply(X_286,X_284))) )],[refute_0_2399,refute_0_2400]) ).
cnf(refute_0_2402,plain,
multiply(X_65,multiply(X_286,X_284)) = multiply(X_65,multiply(X_284,X_286)),
inference(resolve,[$cnf( $equal(multiply(X_65,add(inverse(X_65),multiply(X_286,X_284))),multiply(X_65,multiply(X_284,X_286))) )],[refute_0_2398,refute_0_2401]) ).
cnf(refute_0_2403,plain,
( multiply(X_65,multiply(X_286,X_284)) != multiply(X_65,multiply(X_284,X_286))
| multiply(X_65,multiply(X_284,X_286)) = multiply(X_65,multiply(X_286,X_284)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_65,multiply(X_286,X_284)))),bind(Y0,$fot(multiply(X_65,multiply(X_284,X_286))))]]) ).
cnf(refute_0_2404,plain,
multiply(X_65,multiply(X_284,X_286)) = multiply(X_65,multiply(X_286,X_284)),
inference(resolve,[$cnf( $equal(multiply(X_65,multiply(X_286,X_284)),multiply(X_65,multiply(X_284,X_286))) )],[refute_0_2402,refute_0_2403]) ).
cnf(refute_0_2405,plain,
multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) = multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))),
inference(subst,[],[refute_0_2404:[bind(X_284,$fot(multiply(X_307,add(X_10,inverse(X_11))))),bind(X_286,$fot(X_11)),bind(X_65,$fot(X_10))]]) ).
cnf(refute_0_2406,plain,
( multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))) != multiply(X_11,multiply(X_307,X_10))
| multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) != multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11)))))
| multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) = multiply(X_11,multiply(X_307,X_10)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)))),bind(Y0,$fot(multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))))),bind(Z0,$fot(multiply(X_11,multiply(X_307,X_10))))]]) ).
cnf(refute_0_2407,plain,
( multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))) != multiply(X_11,multiply(X_307,X_10))
| multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) = multiply(X_11,multiply(X_307,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)),multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11)))))) )],[refute_0_2405,refute_0_2406]) ).
cnf(refute_0_2408,plain,
multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) = multiply(X_11,multiply(X_307,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_11,multiply(X_307,add(X_10,inverse(X_11))))),multiply(X_11,multiply(X_307,X_10))) )],[refute_0_2372,refute_0_2407]) ).
cnf(refute_0_2409,plain,
multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) = multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(multiply(X_307,add(X_10,inverse(X_11))))),bind(X_260,$fot(X_11)),bind(X_261,$fot(X_10))]]) ).
cnf(refute_0_2410,plain,
( multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) != multiply(X_11,multiply(X_307,X_10))
| multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) != multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11))
| multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) = multiply(X_11,multiply(X_307,X_10)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))))),bind(Y0,$fot(multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)))),bind(Z0,$fot(multiply(X_11,multiply(X_307,X_10))))]]) ).
cnf(refute_0_2411,plain,
( multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)) != multiply(X_11,multiply(X_307,X_10))
| multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) = multiply(X_11,multiply(X_307,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))),multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11))) )],[refute_0_2409,refute_0_2410]) ).
cnf(refute_0_2412,plain,
multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) = multiply(X_11,multiply(X_307,X_10)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(multiply(X_307,add(X_10,inverse(X_11))),X_11)),multiply(X_11,multiply(X_307,X_10))) )],[refute_0_2408,refute_0_2411]) ).
cnf(refute_0_2413,plain,
( multiply(X_10,multiply(X_307,X_11)) != multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))
| multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))) != multiply(X_11,multiply(X_307,X_10))
| multiply(X_10,multiply(X_307,X_11)) = multiply(X_11,multiply(X_307,X_10)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,multiply(X_307,X_11)),multiply(X_11,multiply(X_307,X_10))) ),[0],$fot(multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))))]]) ).
cnf(refute_0_2414,plain,
( multiply(X_10,multiply(X_307,X_11)) != multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))
| multiply(X_10,multiply(X_307,X_11)) = multiply(X_11,multiply(X_307,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11)))),multiply(X_11,multiply(X_307,X_10))) )],[refute_0_2412,refute_0_2413]) ).
cnf(refute_0_2415,plain,
( multiply(multiply(X_10,X_11),X_307) != multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))
| multiply(X_10,multiply(X_307,X_11)) = multiply(X_11,multiply(X_307,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_307,X_11)),multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))) )],[refute_0_2335,refute_0_2414]) ).
cnf(refute_0_2416,plain,
multiply(X_10,multiply(X_307,X_11)) = multiply(X_11,multiply(X_307,X_10)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),X_307),multiply(multiply(X_10,X_11),multiply(X_307,add(X_10,inverse(X_11))))) )],[refute_0_2332,refute_0_2415]) ).
cnf(refute_0_2417,plain,
( multiply(X_10,multiply(X_307,X_11)) != multiply(X_11,multiply(X_307,X_10))
| multiply(X_11,multiply(X_307,X_10)) = multiply(X_10,multiply(X_307,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,multiply(X_307,X_11)))),bind(Y0,$fot(multiply(X_11,multiply(X_307,X_10))))]]) ).
cnf(refute_0_2418,plain,
multiply(X_11,multiply(X_307,X_10)) = multiply(X_10,multiply(X_307,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_307,X_11)),multiply(X_11,multiply(X_307,X_10))) )],[refute_0_2416,refute_0_2417]) ).
cnf(refute_0_2419,plain,
multiply(multiply(Y,X_305),multiply(X_307,X_305)) = multiply(X_305,multiply(X_307,multiply(Y,X_305))),
inference(subst,[],[refute_0_2418:[bind(X_10,$fot(X_305)),bind(X_11,$fot(multiply(Y,X_305)))]]) ).
cnf(refute_0_2420,plain,
( multiply(X_305,multiply(X_307,multiply(Y,X_305))) != multiply(X_307,multiply(X_305,Y))
| multiply(multiply(Y,X_305),multiply(X_307,X_305)) != multiply(X_305,multiply(X_307,multiply(Y,X_305)))
| multiply(multiply(Y,X_305),multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(Y,X_305),multiply(X_307,X_305)))),bind(Y0,$fot(multiply(X_305,multiply(X_307,multiply(Y,X_305))))),bind(Z0,$fot(multiply(X_307,multiply(X_305,Y))))]]) ).
cnf(refute_0_2421,plain,
( multiply(X_305,multiply(X_307,multiply(Y,X_305))) != multiply(X_307,multiply(X_305,Y))
| multiply(multiply(Y,X_305),multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_305),multiply(X_307,X_305)),multiply(X_305,multiply(X_307,multiply(Y,X_305)))) )],[refute_0_2419,refute_0_2420]) ).
cnf(refute_0_2422,plain,
multiply(multiply(Y,X_305),multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)),
inference(resolve,[$cnf( $equal(multiply(X_305,multiply(X_307,multiply(Y,X_305))),multiply(X_307,multiply(X_305,Y))) )],[refute_0_2328,refute_0_2421]) ).
cnf(refute_0_2423,plain,
( multiply(Y,multiply(X_307,X_305)) != multiply(multiply(Y,X_305),multiply(X_307,X_305))
| multiply(multiply(Y,X_305),multiply(X_307,X_305)) != multiply(X_307,multiply(X_305,Y))
| multiply(Y,multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,multiply(X_307,X_305)),multiply(X_307,multiply(X_305,Y))) ),[0],$fot(multiply(multiply(Y,X_305),multiply(X_307,X_305)))]]) ).
cnf(refute_0_2424,plain,
( multiply(Y,multiply(X_307,X_305)) != multiply(multiply(Y,X_305),multiply(X_307,X_305))
| multiply(Y,multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_305),multiply(X_307,X_305)),multiply(X_307,multiply(X_305,Y))) )],[refute_0_2422,refute_0_2423]) ).
cnf(refute_0_2425,plain,
( multiply(multiply(Y,X_305),X_307) != multiply(multiply(Y,X_305),multiply(X_307,X_305))
| multiply(Y,multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_307,X_305)),multiply(multiply(Y,X_305),multiply(X_307,X_305))) )],[refute_0_2327,refute_0_2424]) ).
cnf(refute_0_2426,plain,
multiply(Y,multiply(X_307,X_305)) = multiply(X_307,multiply(X_305,Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,X_305),X_307),multiply(multiply(Y,X_305),multiply(X_307,X_305))) )],[refute_0_2324,refute_0_2425]) ).
cnf(refute_0_2427,plain,
( multiply(Y,multiply(X_307,X_305)) != multiply(X_307,multiply(X_305,Y))
| multiply(X_307,multiply(X_305,Y)) = multiply(Y,multiply(X_307,X_305)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(Y,multiply(X_307,X_305)))),bind(Y0,$fot(multiply(X_307,multiply(X_305,Y))))]]) ).
cnf(refute_0_2428,plain,
multiply(X_307,multiply(X_305,Y)) = multiply(Y,multiply(X_307,X_305)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(X_307,X_305)),multiply(X_307,multiply(X_305,Y))) )],[refute_0_2426,refute_0_2427]) ).
cnf(refute_0_2429,plain,
multiply(add(X_270,X_271),multiply(X_269,X_270)) = multiply(X_270,multiply(add(X_270,X_271),X_269)),
inference(subst,[],[refute_0_2428:[bind(Y,$fot(X_270)),bind(X_305,$fot(X_269)),bind(X_307,$fot(add(X_270,X_271)))]]) ).
cnf(refute_0_2430,plain,
( multiply(X_270,multiply(add(X_270,X_271),X_269)) != multiply(X_270,X_269)
| multiply(add(X_270,X_271),multiply(X_269,X_270)) != multiply(X_270,multiply(add(X_270,X_271),X_269))
| multiply(add(X_270,X_271),multiply(X_269,X_270)) = multiply(X_270,X_269) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_270,X_271),multiply(X_269,X_270)))),bind(Y0,$fot(multiply(X_270,multiply(add(X_270,X_271),X_269)))),bind(Z0,$fot(multiply(X_270,X_269)))]]) ).
cnf(refute_0_2431,plain,
( multiply(X_270,multiply(add(X_270,X_271),X_269)) != multiply(X_270,X_269)
| multiply(add(X_270,X_271),multiply(X_269,X_270)) = multiply(X_270,X_269) ),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),multiply(X_269,X_270)),multiply(X_270,multiply(add(X_270,X_271),X_269))) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
multiply(add(X_270,X_271),multiply(X_269,X_270)) = multiply(X_270,X_269),
inference(resolve,[$cnf( $equal(multiply(X_270,multiply(add(X_270,X_271),X_269)),multiply(X_270,X_269)) )],[refute_0_2319,refute_0_2431]) ).
cnf(refute_0_2433,plain,
inverse(inverse(multiply(X_269,X_270))) = multiply(X_269,X_270),
inference(subst,[],[refute_0_674:[bind(X_40,$fot(multiply(X_269,X_270)))]]) ).
cnf(refute_0_2434,plain,
multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),
introduced(tautology,[refl,[$fot(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))))]]) ).
cnf(refute_0_2435,plain,
( multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) != multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270))))
| inverse(inverse(multiply(X_269,X_270))) != multiply(X_269,X_270)
| multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(add(X_270,X_271),multiply(X_269,X_270)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270))))) ),[1,1],$fot(multiply(X_269,X_270))]]) ).
cnf(refute_0_2436,plain,
( inverse(inverse(multiply(X_269,X_270))) != multiply(X_269,X_270)
| multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(add(X_270,X_271),multiply(X_269,X_270)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270))))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(add(X_270,X_271),multiply(X_269,X_270)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_269,X_270))),multiply(X_269,X_270)) )],[refute_0_2433,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( multiply(add(X_270,X_271),multiply(X_269,X_270)) != multiply(X_270,X_269)
| multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) != multiply(add(X_270,X_271),multiply(X_269,X_270))
| multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))))),bind(Y0,$fot(multiply(add(X_270,X_271),multiply(X_269,X_270)))),bind(Z0,$fot(multiply(X_270,X_269)))]]) ).
cnf(refute_0_2439,plain,
( multiply(add(X_270,X_271),multiply(X_269,X_270)) != multiply(X_270,X_269)
| multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269) ),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),multiply(add(X_270,X_271),multiply(X_269,X_270))) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),multiply(X_269,X_270)),multiply(X_270,X_269)) )],[refute_0_2432,refute_0_2439]) ).
cnf(refute_0_2441,plain,
inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),
inference(subst,[],[refute_0_1405:[bind(X_226,$fot(inverse(multiply(X_269,X_270)))),bind(X_306,$fot(add(X_270,X_271)))]]) ).
cnf(refute_0_2442,plain,
( multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) != multiply(X_270,X_269)
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) != multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270))))
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))))),bind(Y0,$fot(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))))),bind(Z0,$fot(multiply(X_270,X_269)))]]) ).
cnf(refute_0_2443,plain,
( multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))) != multiply(X_270,X_269)
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))),multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270))))) )],[refute_0_2441,refute_0_2442]) ).
cnf(refute_0_2444,plain,
inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) = multiply(X_270,X_269),
inference(resolve,[$cnf( $equal(multiply(add(X_270,X_271),inverse(inverse(multiply(X_269,X_270)))),multiply(X_270,X_269)) )],[refute_0_2440,refute_0_2443]) ).
cnf(refute_0_2445,plain,
( inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) != multiply(X_269,X_270)
| inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) != multiply(X_270,X_269)
| multiply(X_270,X_269) = multiply(X_269,X_270) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))),multiply(X_269,X_270)) ),[0],$fot(multiply(X_270,X_269))]]) ).
cnf(refute_0_2446,plain,
( inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))) != multiply(X_269,X_270)
| multiply(X_270,X_269) = multiply(X_269,X_270) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))),multiply(X_270,X_269)) )],[refute_0_2444,refute_0_2445]) ).
cnf(refute_0_2447,plain,
multiply(X_270,X_269) = multiply(X_269,X_270),
inference(resolve,[$cnf( $equal(inverse(add(inverse(add(X_270,X_271)),inverse(multiply(X_269,X_270)))),multiply(X_269,X_270)) )],[refute_0_2318,refute_0_2446]) ).
cnf(refute_0_2448,plain,
( multiply(X_270,X_269) != multiply(X_269,X_270)
| multiply(X_269,X_270) = multiply(X_270,X_269) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_270,X_269))),bind(Y0,$fot(multiply(X_269,X_270)))]]) ).
cnf(refute_0_2449,plain,
multiply(X_269,X_270) = multiply(X_270,X_269),
inference(resolve,[$cnf( $equal(multiply(X_270,X_269),multiply(X_269,X_270)) )],[refute_0_2447,refute_0_2448]) ).
cnf(refute_0_2450,plain,
multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))),
inference(subst,[],[refute_0_2449:[bind(X_269,$fot(inverse(add(X_337,inverse(multiply(X_336,X_59)))))),bind(X_270,$fot(multiplicative_identity))]]) ).
cnf(refute_0_2451,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) != multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))))),bind(Z0,$fot(multiply(X_336,multiply(inverse(X_337),X_59))))]]) ).
cnf(refute_0_2452,plain,
( multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_336,multiply(inverse(X_337),X_59)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity),multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) )],[refute_0_2450,refute_0_2451]) ).
cnf(refute_0_2453,plain,
multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) = multiply(X_336,multiply(inverse(X_337),X_59)),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_336,multiply(inverse(X_337),X_59))) )],[refute_0_2227,refute_0_2452]) ).
cnf(refute_0_2454,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) ),[0],$fot(multiply(X_336,multiply(inverse(X_337),X_59)))]]) ).
cnf(refute_0_2455,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity),multiply(X_336,multiply(inverse(X_337),X_59))) )],[refute_0_2453,refute_0_2454]) ).
cnf(refute_0_2456,plain,
multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))) = multiply(X_336,multiply(X_59,inverse(X_337))),
inference(subst,[],[refute_0_1194:[bind(X,$fot(X_59)),bind(Y,$fot(inverse(X_337))),bind(X_86,$fot(X_336))]]) ).
cnf(refute_0_2457,plain,
multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),
introduced(tautology,[refl,[$fot(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))))]]) ).
cnf(refute_0_2458,plain,
( multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| inverse(add(X_337,inverse(multiply(X_336,X_59)))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) ),[1,1],$fot(multiply(X_336,multiply(inverse(X_337),X_59)))]]) ).
cnf(refute_0_2459,plain,
( inverse(add(X_337,inverse(multiply(X_336,X_59)))) != multiply(X_336,multiply(inverse(X_337),X_59))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))),
inference(resolve,[$cnf( $equal(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiply(X_336,multiply(inverse(X_337),X_59))) )],[refute_0_2223,refute_0_2459]) ).
cnf(refute_0_2461,plain,
( multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))) != multiply(X_336,multiply(X_59,inverse(X_337)))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59)))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(X_59,inverse(X_337))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))))),bind(Y0,$fot(multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))))),bind(Z0,$fot(multiply(X_336,multiply(X_59,inverse(X_337)))))]]) ).
cnf(refute_0_2462,plain,
( multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))) != multiply(X_336,multiply(X_59,inverse(X_337)))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(X_59,inverse(X_337))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59)))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) = multiply(X_336,multiply(X_59,inverse(X_337))),
inference(resolve,[$cnf( $equal(multiply(X_59,multiply(X_336,multiply(inverse(X_337),X_59))),multiply(X_336,multiply(X_59,inverse(X_337)))) )],[refute_0_2456,refute_0_2462]) ).
cnf(refute_0_2464,plain,
( multiply(X_336,multiply(inverse(X_337),X_59)) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))) != multiply(X_336,multiply(X_59,inverse(X_337)))
| multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_336,multiply(X_59,inverse(X_337))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_336,multiply(inverse(X_337),X_59)),multiply(X_336,multiply(X_59,inverse(X_337)))) ),[0],$fot(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))))]]) ).
cnf(refute_0_2465,plain,
( multiply(X_336,multiply(inverse(X_337),X_59)) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_336,multiply(X_59,inverse(X_337))) ),
inference(resolve,[$cnf( $equal(multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59))))),multiply(X_336,multiply(X_59,inverse(X_337)))) )],[refute_0_2463,refute_0_2464]) ).
cnf(refute_0_2466,plain,
( multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity) != multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))
| multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_336,multiply(X_59,inverse(X_337))) ),
inference(resolve,[$cnf( $equal(multiply(X_336,multiply(inverse(X_337),X_59)),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) )],[refute_0_2455,refute_0_2465]) ).
cnf(refute_0_2467,plain,
multiply(X_336,multiply(inverse(X_337),X_59)) = multiply(X_336,multiply(X_59,inverse(X_337))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_337,inverse(multiply(X_336,X_59)))),multiplicative_identity),multiply(X_59,inverse(add(X_337,inverse(multiply(X_336,X_59)))))) )],[refute_0_2202,refute_0_2466]) ).
cnf(refute_0_2468,plain,
multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),
inference(subst,[],[refute_0_2467:[bind(X_336,$fot(X_86)),bind(X_337,$fot(add(X_87,X_88))),bind(X_59,$fot(X_87))]]) ).
cnf(refute_0_2469,plain,
multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) = multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)),
inference(subst,[],[refute_0_1138:[bind(X_259,$fot(inverse(add(X_87,X_88)))),bind(X_260,$fot(X_87)),bind(X_261,$fot(X_86))]]) ).
cnf(refute_0_2470,plain,
( multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) != multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87))
| multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))))),bind(Y0,$fot(multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)))),bind(Z0,$fot(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))))]]) ).
cnf(refute_0_2471,plain,
( multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))),multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87))) )],[refute_0_2469,refute_0_2470]) ).
cnf(refute_0_2472,plain,
multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(inverse(add(X_87,X_88)),X_87)),multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))) )],[refute_0_2468,refute_0_2471]) ).
cnf(refute_0_2473,plain,
inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))),
inference(subst,[],[refute_0_2219:[bind(X_236,$fot(add(X_87,X_88))),bind(X_237,$fot(multiply(X_86,X_87)))]]) ).
cnf(refute_0_2474,plain,
( multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) != multiply(multiply(X_86,X_87),inverse(add(X_87,X_88)))
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),bind(Y0,$fot(multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))))),bind(Z0,$fot(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))))]]) ).
cnf(refute_0_2475,plain,
( multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),multiply(multiply(X_86,X_87),inverse(add(X_87,X_88)))) )],[refute_0_2473,refute_0_2474]) ).
cnf(refute_0_2476,plain,
inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_86,X_87),inverse(add(X_87,X_88))),multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))) )],[refute_0_2472,refute_0_2475]) ).
cnf(refute_0_2477,plain,
( multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) != additive_identity
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) != multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = additive_identity ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),bind(Y0,$fot(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_2478,plain,
( multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))) != additive_identity
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = additive_identity ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),multiply(X_86,multiply(X_87,inverse(add(X_87,X_88))))) )],[refute_0_2476,refute_0_2477]) ).
cnf(refute_0_2479,plain,
inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(X_86,multiply(X_87,inverse(add(X_87,X_88)))),additive_identity) )],[refute_0_2143,refute_0_2478]) ).
cnf(refute_0_2480,plain,
add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),
introduced(tautology,[refl,[$fot(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))]]) ).
cnf(refute_0_2481,plain,
( add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) != additive_identity
| add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_87,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2482,plain,
( inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))) != additive_identity
| add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_87,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) )],[refute_0_2480,refute_0_2481]) ).
cnf(refute_0_2483,plain,
add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_87,additive_identity),
inference(resolve,[$cnf( $equal(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),additive_identity) )],[refute_0_2479,refute_0_2482]) ).
cnf(refute_0_2484,plain,
( add(X_87,additive_identity) != X_87
| add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_87,additive_identity)
| add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = X_87 ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))),bind(Y0,$fot(add(X_87,additive_identity))),bind(Z0,$fot(X_87))]]) ).
cnf(refute_0_2485,plain,
( add(X_87,additive_identity) != X_87
| add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = X_87 ),
inference(resolve,[$cnf( $equal(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_87,additive_identity)) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = X_87,
inference(resolve,[$cnf( $equal(add(X_87,additive_identity),X_87) )],[refute_0_2134,refute_0_2485]) ).
cnf(refute_0_2487,plain,
add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
introduced(tautology,[refl,[$fot(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))))]]) ).
cnf(refute_0_2488,plain,
( add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != X_87
| add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_88,X_87) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) ),[1,1],$fot(X_87)]]) ).
cnf(refute_0_2489,plain,
( add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != X_87
| add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_88,X_87) ),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2487,refute_0_2488]) ).
cnf(refute_0_2490,plain,
add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_88,X_87),
inference(resolve,[$cnf( $equal(add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),X_87) )],[refute_0_2486,refute_0_2489]) ).
cnf(refute_0_2491,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,add(inverse(X_433),X_67)))) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))),
inference(subst,[],[refute_0_28:[bind(X_30,$fot(X_432)),bind(X_31,$fot(X_433)),bind(X_32,$fot(add(inverse(X_433),X_67)))]]) ).
cnf(refute_0_2492,plain,
multiply(X_433,add(inverse(X_433),X_67)) = multiply(X_433,X_67),
inference(subst,[],[refute_0_747:[bind(X_65,$fot(X_433))]]) ).
cnf(refute_0_2493,plain,
( multiply(X_433,add(inverse(X_433),X_67)) != multiply(X_433,X_67)
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,add(inverse(X_433),X_67)))) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,add(inverse(X_433),X_67)))),add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))) ),[0,1,1],$fot(multiply(X_433,X_67))]]) ).
cnf(refute_0_2494,plain,
( add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,add(inverse(X_433),X_67)))) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) ),
inference(resolve,[$cnf( $equal(multiply(X_433,add(inverse(X_433),X_67)),multiply(X_433,X_67)) )],[refute_0_2492,refute_0_2493]) ).
cnf(refute_0_2495,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,add(inverse(X_433),X_67)))),add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))) )],[refute_0_2491,refute_0_2494]) ).
cnf(refute_0_2496,plain,
inverse(multiply(X_31,inverse(X_291))) = add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,multiply(X_31,inverse(X_291))))),
inference(subst,[],[refute_0_1900:[bind(X_191,$fot(multiply(X_31,inverse(X_291)))),bind(X_192,$fot(X_291))]]) ).
cnf(refute_0_2497,plain,
add(X_291,multiply(X_31,inverse(X_291))) = add(X_291,X_31),
inference(subst,[],[refute_0_117:[bind(X_30,$fot(X_291))]]) ).
cnf(refute_0_2498,plain,
( add(X_291,multiply(X_31,inverse(X_291))) != add(X_291,X_31)
| inverse(multiply(X_31,inverse(X_291))) != add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,multiply(X_31,inverse(X_291)))))
| inverse(multiply(X_31,inverse(X_291))) = add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,multiply(X_31,inverse(X_291)))))) ),[1,1,0],$fot(add(X_291,X_31))]]) ).
cnf(refute_0_2499,plain,
( inverse(multiply(X_31,inverse(X_291))) != add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,multiply(X_31,inverse(X_291)))))
| inverse(multiply(X_31,inverse(X_291))) = add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) ),
inference(resolve,[$cnf( $equal(add(X_291,multiply(X_31,inverse(X_291))),add(X_291,X_31)) )],[refute_0_2497,refute_0_2498]) ).
cnf(refute_0_2500,plain,
inverse(multiply(X_31,inverse(X_291))) = add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,multiply(X_31,inverse(X_291)))))) )],[refute_0_2496,refute_0_2499]) ).
cnf(refute_0_2501,plain,
add(inverse(add(X_224,X_225)),multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224))))) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))),
inference(subst,[],[refute_0_21:[bind(X_10,$fot(add(X_224,X_225))),bind(X_11,$fot(inverse(multiply(X_225,inverse(X_224)))))]]) ).
cnf(refute_0_2502,plain,
( multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))) != X_224
| add(inverse(add(X_224,X_225)),multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224))))) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(inverse(add(X_224,X_225)),X_224) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_224,X_225)),multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224))))),add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))) ),[0,1],$fot(X_224)]]) ).
cnf(refute_0_2503,plain,
( add(inverse(add(X_224,X_225)),multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224))))) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(inverse(add(X_224,X_225)),X_224) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224)))),X_224) )],[refute_0_1524,refute_0_2502]) ).
cnf(refute_0_2504,plain,
add(inverse(add(X_224,X_225)),X_224) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_224,X_225)),multiply(add(X_224,X_225),inverse(multiply(X_225,inverse(X_224))))),add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))) )],[refute_0_2501,refute_0_2503]) ).
cnf(refute_0_2505,plain,
add(inverse(add(X_224,X_225)),X_224) = add(X_224,inverse(add(X_224,X_225))),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(inverse(add(X_224,X_225)))),bind(X_139,$fot(X_224))]]) ).
cnf(refute_0_2506,plain,
( add(inverse(add(X_224,X_225)),X_224) != add(X_224,inverse(add(X_224,X_225)))
| add(inverse(add(X_224,X_225)),X_224) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(X_224,inverse(add(X_224,X_225))) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_224,X_225)),X_224),add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))) ),[0],$fot(add(X_224,inverse(add(X_224,X_225))))]]) ).
cnf(refute_0_2507,plain,
( add(inverse(add(X_224,X_225)),X_224) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(X_224,inverse(add(X_224,X_225))) = add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_224,X_225)),X_224),add(X_224,inverse(add(X_224,X_225)))) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) = add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))),
inference(subst,[],[refute_0_1807:[bind(X_138,$fot(inverse(multiply(X_225,inverse(X_224))))),bind(X_139,$fot(inverse(add(X_224,X_225))))]]) ).
cnf(refute_0_2509,plain,
( add(X_224,inverse(add(X_224,X_225))) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))) != add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))
| add(X_224,inverse(add(X_224,X_225))) = add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_224,inverse(add(X_224,X_225))),add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))) ),[0],$fot(add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))))]]) ).
cnf(refute_0_2510,plain,
( add(X_224,inverse(add(X_224,X_225))) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(X_224,inverse(add(X_224,X_225))) = add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225))),add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))) )],[refute_0_2508,refute_0_2509]) ).
cnf(refute_0_2511,plain,
( add(inverse(add(X_224,X_225)),X_224) != add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))
| add(X_224,inverse(add(X_224,X_225))) = add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))) ),
inference(resolve,[$cnf( $equal(add(X_224,inverse(add(X_224,X_225))),add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))) )],[refute_0_2507,refute_0_2510]) ).
cnf(refute_0_2512,plain,
add(X_224,inverse(add(X_224,X_225))) = add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_224,X_225)),X_224),add(inverse(multiply(X_225,inverse(X_224))),inverse(add(X_224,X_225)))) )],[refute_0_2504,refute_0_2511]) ).
cnf(refute_0_2513,plain,
( add(X_224,inverse(add(X_224,X_225))) != add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))
| add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))) = add(X_224,inverse(add(X_224,X_225))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_224,inverse(add(X_224,X_225))))),bind(Y0,$fot(add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))))]]) ).
cnf(refute_0_2514,plain,
add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224)))) = add(X_224,inverse(add(X_224,X_225))),
inference(resolve,[$cnf( $equal(add(X_224,inverse(add(X_224,X_225))),add(inverse(add(X_224,X_225)),inverse(multiply(X_225,inverse(X_224))))) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))) = add(X_291,inverse(add(X_291,X_31))),
inference(subst,[],[refute_0_2514:[bind(X_224,$fot(X_291)),bind(X_225,$fot(X_31))]]) ).
cnf(refute_0_2516,plain,
add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) = add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(inverse(multiply(X_31,inverse(X_291))))),bind(X_258,$fot(inverse(add(X_291,X_31))))]]) ).
cnf(refute_0_2517,plain,
( add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) != add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291))))
| add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))) != add(X_291,inverse(add(X_291,X_31)))
| add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) = add(X_291,inverse(add(X_291,X_31))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))))),bind(Y0,$fot(add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))))),bind(Z0,$fot(add(X_291,inverse(add(X_291,X_31)))))]]) ).
cnf(refute_0_2518,plain,
( add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))) != add(X_291,inverse(add(X_291,X_31)))
| add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) = add(X_291,inverse(add(X_291,X_31))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))),add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291))))) )],[refute_0_2516,refute_0_2517]) ).
cnf(refute_0_2519,plain,
add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) = add(X_291,inverse(add(X_291,X_31))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_291,X_31)),inverse(multiply(X_31,inverse(X_291)))),add(X_291,inverse(add(X_291,X_31)))) )],[refute_0_2515,refute_0_2518]) ).
cnf(refute_0_2520,plain,
( add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))) != add(X_291,inverse(add(X_291,X_31)))
| inverse(multiply(X_31,inverse(X_291))) != add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31)))
| inverse(multiply(X_31,inverse(X_291))) = add(X_291,inverse(add(X_291,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31)))) ),[1],$fot(add(X_291,inverse(add(X_291,X_31))))]]) ).
cnf(refute_0_2521,plain,
( inverse(multiply(X_31,inverse(X_291))) != add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31)))
| inverse(multiply(X_31,inverse(X_291))) = add(X_291,inverse(add(X_291,X_31))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31))),add(X_291,inverse(add(X_291,X_31)))) )],[refute_0_2519,refute_0_2520]) ).
cnf(refute_0_2522,plain,
inverse(multiply(X_31,inverse(X_291))) = add(X_291,inverse(add(X_291,X_31))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(inverse(multiply(X_31,inverse(X_291))),inverse(add(X_291,X_31)))) )],[refute_0_2500,refute_0_2521]) ).
cnf(refute_0_2523,plain,
inverse(multiply(X_31,inverse(X_291))) = add(inverse(X_31),X_291),
inference(subst,[],[refute_0_1821:[bind(X_294,$fot(X_291)),bind(X_295,$fot(X_31))]]) ).
cnf(refute_0_2524,plain,
( inverse(multiply(X_31,inverse(X_291))) != add(X_291,inverse(add(X_291,X_31)))
| inverse(multiply(X_31,inverse(X_291))) != add(inverse(X_31),X_291)
| add(inverse(X_31),X_291) = add(X_291,inverse(add(X_291,X_31))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(X_291,inverse(add(X_291,X_31)))) ),[0],$fot(add(inverse(X_31),X_291))]]) ).
cnf(refute_0_2525,plain,
( inverse(multiply(X_31,inverse(X_291))) != add(X_291,inverse(add(X_291,X_31)))
| add(inverse(X_31),X_291) = add(X_291,inverse(add(X_291,X_31))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(inverse(X_31),X_291)) )],[refute_0_2523,refute_0_2524]) ).
cnf(refute_0_2526,plain,
add(inverse(X_31),X_291) = add(X_291,inverse(add(X_291,X_31))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_31,inverse(X_291))),add(X_291,inverse(add(X_291,X_31)))) )],[refute_0_2522,refute_0_2525]) ).
cnf(refute_0_2527,plain,
( add(inverse(X_31),X_291) != add(X_291,inverse(add(X_291,X_31)))
| add(X_291,inverse(add(X_291,X_31))) = add(inverse(X_31),X_291) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(inverse(X_31),X_291))),bind(Y0,$fot(add(X_291,inverse(add(X_291,X_31)))))]]) ).
cnf(refute_0_2528,plain,
add(X_291,inverse(add(X_291,X_31))) = add(inverse(X_31),X_291),
inference(resolve,[$cnf( $equal(add(inverse(X_31),X_291),add(X_291,inverse(add(X_291,X_31)))) )],[refute_0_2526,refute_0_2527]) ).
cnf(refute_0_2529,plain,
add(X_432,inverse(add(X_432,X_433))) = add(inverse(X_433),X_432),
inference(subst,[],[refute_0_2528:[bind(X_291,$fot(X_432)),bind(X_31,$fot(X_433))]]) ).
cnf(refute_0_2530,plain,
add(X_67,add(X_432,inverse(add(X_432,X_433)))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))),
introduced(tautology,[refl,[$fot(add(X_67,add(X_432,inverse(add(X_432,X_433)))))]]) ).
cnf(refute_0_2531,plain,
( add(X_432,inverse(add(X_432,X_433))) != add(inverse(X_433),X_432)
| add(X_67,add(X_432,inverse(add(X_432,X_433)))) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(X_67,add(X_432,inverse(add(X_432,X_433)))) = add(X_67,add(inverse(X_433),X_432)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_67,add(X_432,inverse(add(X_432,X_433)))),add(X_67,add(X_432,inverse(add(X_432,X_433))))) ),[1,1],$fot(add(inverse(X_433),X_432))]]) ).
cnf(refute_0_2532,plain,
( add(X_432,inverse(add(X_432,X_433))) != add(inverse(X_433),X_432)
| add(X_67,add(X_432,inverse(add(X_432,X_433)))) = add(X_67,add(inverse(X_433),X_432)) ),
inference(resolve,[$cnf( $equal(add(X_67,add(X_432,inverse(add(X_432,X_433)))),add(X_67,add(X_432,inverse(add(X_432,X_433))))) )],[refute_0_2530,refute_0_2531]) ).
cnf(refute_0_2533,plain,
add(X_67,add(X_432,inverse(add(X_432,X_433)))) = add(X_67,add(inverse(X_433),X_432)),
inference(resolve,[$cnf( $equal(add(X_432,inverse(add(X_432,X_433))),add(inverse(X_433),X_432)) )],[refute_0_2529,refute_0_2532]) ).
cnf(refute_0_2534,plain,
add(X_67,add(inverse(add(X_432,X_433)),X_432)) = add(X_67,add(X_432,inverse(add(X_432,X_433)))),
inference(subst,[],[refute_0_1782:[bind(X_30,$fot(X_67)),bind(X_425,$fot(inverse(add(X_432,X_433)))),bind(X_426,$fot(X_432))]]) ).
cnf(refute_0_2535,plain,
add(add(X_432,X_67),inverse(add(X_432,X_433))) = add(X_67,add(inverse(add(X_432,X_433)),X_432)),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(inverse(add(X_432,X_433)))),bind(X_59,$fot(X_432)),bind(X_60,$fot(X_67))]]) ).
cnf(refute_0_2536,plain,
( add(X_67,add(inverse(add(X_432,X_433)),X_432)) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(add(X_432,X_67),inverse(add(X_432,X_433))) != add(X_67,add(inverse(add(X_432,X_433)),X_432))
| add(add(X_432,X_67),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_432,X_67),inverse(add(X_432,X_433))))),bind(Y0,$fot(add(X_67,add(inverse(add(X_432,X_433)),X_432)))),bind(Z0,$fot(add(X_67,add(X_432,inverse(add(X_432,X_433))))))]]) ).
cnf(refute_0_2537,plain,
( add(X_67,add(inverse(add(X_432,X_433)),X_432)) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(add(X_432,X_67),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))) ),
inference(resolve,[$cnf( $equal(add(add(X_432,X_67),inverse(add(X_432,X_433))),add(X_67,add(inverse(add(X_432,X_433)),X_432))) )],[refute_0_2535,refute_0_2536]) ).
cnf(refute_0_2538,plain,
add(add(X_432,X_67),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))),
inference(resolve,[$cnf( $equal(add(X_67,add(inverse(add(X_432,X_433)),X_432)),add(X_67,add(X_432,inverse(add(X_432,X_433))))) )],[refute_0_2534,refute_0_2537]) ).
cnf(refute_0_2539,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(add(X_432,X_67),inverse(add(X_432,X_433))),
inference(subst,[],[refute_0_28:[bind(X_30,$fot(X_432)),bind(X_31,$fot(X_433)),bind(X_32,$fot(X_67))]]) ).
cnf(refute_0_2540,plain,
( add(add(X_432,X_67),inverse(add(X_432,X_433))) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(add(X_432,X_67),inverse(add(X_432,X_433)))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))))),bind(Y0,$fot(add(add(X_432,X_67),inverse(add(X_432,X_433))))),bind(Z0,$fot(add(X_67,add(X_432,inverse(add(X_432,X_433))))))]]) ).
cnf(refute_0_2541,plain,
( add(add(X_432,X_67),inverse(add(X_432,X_433))) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))),add(add(X_432,X_67),inverse(add(X_432,X_433)))) )],[refute_0_2539,refute_0_2540]) ).
cnf(refute_0_2542,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(X_432,inverse(add(X_432,X_433)))),
inference(resolve,[$cnf( $equal(add(add(X_432,X_67),inverse(add(X_432,X_433))),add(X_67,add(X_432,inverse(add(X_432,X_433))))) )],[refute_0_2538,refute_0_2541]) ).
cnf(refute_0_2543,plain,
( add(X_67,add(X_432,inverse(add(X_432,X_433)))) != add(X_67,add(inverse(X_433),X_432))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(X_67,add(X_432,inverse(add(X_432,X_433))))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(inverse(X_433),X_432)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))))),bind(Y0,$fot(add(X_67,add(X_432,inverse(add(X_432,X_433)))))),bind(Z0,$fot(add(X_67,add(inverse(X_433),X_432))))]]) ).
cnf(refute_0_2544,plain,
( add(X_67,add(X_432,inverse(add(X_432,X_433)))) != add(X_67,add(inverse(X_433),X_432))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(inverse(X_433),X_432)) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))),add(X_67,add(X_432,inverse(add(X_432,X_433))))) )],[refute_0_2542,refute_0_2543]) ).
cnf(refute_0_2545,plain,
add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) = add(X_67,add(inverse(X_433),X_432)),
inference(resolve,[$cnf( $equal(add(X_67,add(X_432,inverse(add(X_432,X_433)))),add(X_67,add(inverse(X_433),X_432))) )],[refute_0_2533,refute_0_2544]) ).
cnf(refute_0_2546,plain,
( add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(X_67,add(inverse(X_433),X_432))
| add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(X_67,add(inverse(X_433),X_432)) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))),add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))) ),[0],$fot(add(X_67,add(inverse(X_433),X_432)))]]) ).
cnf(refute_0_2547,plain,
( add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(X_67,add(inverse(X_433),X_432)) = add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))),add(X_67,add(inverse(X_433),X_432))) )],[refute_0_2545,refute_0_2546]) ).
cnf(refute_0_2548,plain,
add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295))))) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(X_295)),bind(X_11,$fot(add(X_66,inverse(add(X_294,X_295)))))]]) ).
cnf(refute_0_2549,plain,
multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295)))) = multiply(add(X_294,X_295),X_66),
inference(subst,[],[refute_0_641:[bind(X_65,$fot(add(X_294,X_295)))]]) ).
cnf(refute_0_2550,plain,
( multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295)))) != multiply(add(X_294,X_295),X_66)
| add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295))))) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),X_66)) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295))))),add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))) ),[0,1],$fot(multiply(add(X_294,X_295),X_66))]]) ).
cnf(refute_0_2551,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295))))) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),X_66)) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295)))),multiply(add(X_294,X_295),X_66)) )],[refute_0_2549,refute_0_2550]) ).
cnf(refute_0_2552,plain,
add(inverse(X_295),multiply(add(X_294,X_295),X_66)) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),add(X_66,inverse(add(X_294,X_295))))),add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))) )],[refute_0_2548,refute_0_2551]) ).
cnf(refute_0_2553,plain,
add(inverse(X_295),multiply(add(X_294,X_295),X_66)) = add(X_66,inverse(X_295)),
inference(subst,[],[refute_0_574:[bind(X_101,$fot(X_294)),bind(X_102,$fot(X_295)),bind(X_11,$fot(X_66))]]) ).
cnf(refute_0_2554,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),X_66)) != add(X_66,inverse(X_295))
| add(inverse(X_295),multiply(add(X_294,X_295),X_66)) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(X_66,inverse(X_295)) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),X_66)),add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))) ),[0],$fot(add(X_66,inverse(X_295)))]]) ).
cnf(refute_0_2555,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),X_66)) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(X_66,inverse(X_295)) = add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),X_66)),add(X_66,inverse(X_295))) )],[refute_0_2553,refute_0_2554]) ).
cnf(refute_0_2556,plain,
add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) = add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))),
inference(subst,[],[refute_0_1671:[bind(X_256,$fot(add(X_66,inverse(add(X_294,X_295))))),bind(X_258,$fot(inverse(X_295)))]]) ).
cnf(refute_0_2557,plain,
( add(X_66,inverse(X_295)) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)) != add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))
| add(X_66,inverse(X_295)) = add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_66,inverse(X_295)),add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))) ),[0],$fot(add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)))]]) ).
cnf(refute_0_2558,plain,
( add(X_66,inverse(X_295)) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(X_66,inverse(X_295)) = add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))) ),
inference(resolve,[$cnf( $equal(add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295)),add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))) )],[refute_0_2556,refute_0_2557]) ).
cnf(refute_0_2559,plain,
( add(inverse(X_295),multiply(add(X_294,X_295),X_66)) != add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))
| add(X_66,inverse(X_295)) = add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))) ),
inference(resolve,[$cnf( $equal(add(X_66,inverse(X_295)),add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))) )],[refute_0_2555,refute_0_2558]) ).
cnf(refute_0_2560,plain,
add(X_66,inverse(X_295)) = add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))),
inference(resolve,[$cnf( $equal(add(inverse(X_295),multiply(add(X_294,X_295),X_66)),add(add(X_66,inverse(add(X_294,X_295))),inverse(X_295))) )],[refute_0_2552,refute_0_2559]) ).
cnf(refute_0_2561,plain,
( add(X_66,inverse(X_295)) != add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))
| add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))) = add(X_66,inverse(X_295)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_66,inverse(X_295)))),bind(Y0,$fot(add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))))]]) ).
cnf(refute_0_2562,plain,
add(inverse(X_295),add(X_66,inverse(add(X_294,X_295)))) = add(X_66,inverse(X_295)),
inference(resolve,[$cnf( $equal(add(X_66,inverse(X_295)),add(inverse(X_295),add(X_66,inverse(add(X_294,X_295))))) )],[refute_0_2560,refute_0_2561]) ).
cnf(refute_0_2563,plain,
add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))) = add(X_432,inverse(X_433)),
inference(subst,[],[refute_0_2562:[bind(X_294,$fot(X_432)),bind(X_295,$fot(X_433)),bind(X_66,$fot(X_432))]]) ).
cnf(refute_0_2564,plain,
add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) = add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))),
inference(subst,[],[refute_0_1782:[bind(X_30,$fot(inverse(X_433))),bind(X_425,$fot(inverse(add(X_432,X_433)))),bind(X_426,$fot(X_432))]]) ).
cnf(refute_0_2565,plain,
( add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))) != add(X_432,inverse(X_433))
| add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) != add(inverse(X_433),add(X_432,inverse(add(X_432,X_433))))
| add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) = add(X_432,inverse(X_433)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))),bind(Y0,$fot(add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))))),bind(Z0,$fot(add(X_432,inverse(X_433))))]]) ).
cnf(refute_0_2566,plain,
( add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))) != add(X_432,inverse(X_433))
| add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) = add(X_432,inverse(X_433)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)),add(inverse(X_433),add(X_432,inverse(add(X_432,X_433))))) )],[refute_0_2564,refute_0_2565]) ).
cnf(refute_0_2567,plain,
add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) = add(X_432,inverse(X_433)),
inference(resolve,[$cnf( $equal(add(inverse(X_433),add(X_432,inverse(add(X_432,X_433)))),add(X_432,inverse(X_433))) )],[refute_0_2563,refute_0_2566]) ).
cnf(refute_0_2568,plain,
add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),
introduced(tautology,[refl,[$fot(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))))]]) ).
cnf(refute_0_2569,plain,
( add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) != add(X_432,inverse(X_433))
| add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) = add(X_67,add(X_432,inverse(X_433))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))) ),[1,1],$fot(add(X_432,inverse(X_433)))]]) ).
cnf(refute_0_2570,plain,
( add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)) != add(X_432,inverse(X_433))
| add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) = add(X_67,add(X_432,inverse(X_433))) ),
inference(resolve,[$cnf( $equal(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))) )],[refute_0_2568,refute_0_2569]) ).
cnf(refute_0_2571,plain,
add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) = add(X_67,add(X_432,inverse(X_433))),
inference(resolve,[$cnf( $equal(add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)),add(X_432,inverse(X_433))) )],[refute_0_2567,refute_0_2570]) ).
cnf(refute_0_2572,plain,
add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),
inference(subst,[],[refute_0_1782:[bind(X_30,$fot(X_67)),bind(X_425,$fot(add(inverse(add(X_432,X_433)),X_432))),bind(X_426,$fot(inverse(X_433)))]]) ).
cnf(refute_0_2573,plain,
add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) = add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(add(inverse(add(X_432,X_433)),X_432))),bind(X_59,$fot(inverse(X_433))),bind(X_60,$fot(X_67))]]) ).
cnf(refute_0_2574,plain,
( add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) != add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433)))
| add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)))),bind(Y0,$fot(add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))))),bind(Z0,$fot(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))))]]) ).
cnf(refute_0_2575,plain,
( add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) ),
inference(resolve,[$cnf( $equal(add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)),add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433)))) )],[refute_0_2573,refute_0_2574]) ).
cnf(refute_0_2576,plain,
add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),
inference(resolve,[$cnf( $equal(add(X_67,add(add(inverse(add(X_432,X_433)),X_432),inverse(X_433))),add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))) )],[refute_0_2572,refute_0_2575]) ).
cnf(refute_0_2577,plain,
add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(inverse(add(X_432,X_433)))),bind(X_59,$fot(X_432)),bind(X_60,$fot(add(inverse(X_433),X_67)))]]) ).
cnf(refute_0_2578,plain,
( add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) != add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432))
| add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))))),bind(Y0,$fot(add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)))),bind(Z0,$fot(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))))]]) ).
cnf(refute_0_2579,plain,
( add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) ),
inference(resolve,[$cnf( $equal(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))),add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432))) )],[refute_0_2577,refute_0_2578]) ).
cnf(refute_0_2580,plain,
add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),
inference(resolve,[$cnf( $equal(add(add(inverse(X_433),X_67),add(inverse(add(X_432,X_433)),X_432)),add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))) )],[refute_0_2576,refute_0_2579]) ).
cnf(refute_0_2581,plain,
( add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) != add(X_67,add(X_432,inverse(X_433)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) != add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(X_433))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))))),bind(Y0,$fot(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))))),bind(Z0,$fot(add(X_67,add(X_432,inverse(X_433)))))]]) ).
cnf(refute_0_2582,plain,
( add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))) != add(X_67,add(X_432,inverse(X_433)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(X_433))) ),
inference(resolve,[$cnf( $equal(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))),add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432)))) )],[refute_0_2580,refute_0_2581]) ).
cnf(refute_0_2583,plain,
add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) = add(X_67,add(X_432,inverse(X_433))),
inference(resolve,[$cnf( $equal(add(X_67,add(inverse(X_433),add(inverse(add(X_432,X_433)),X_432))),add(X_67,add(X_432,inverse(X_433)))) )],[refute_0_2571,refute_0_2582]) ).
cnf(refute_0_2584,plain,
( add(X_67,add(inverse(X_433),X_432)) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))) != add(X_67,add(X_432,inverse(X_433)))
| add(X_67,add(inverse(X_433),X_432)) = add(X_67,add(X_432,inverse(X_433))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_67,add(inverse(X_433),X_432)),add(X_67,add(X_432,inverse(X_433)))) ),[0],$fot(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))))]]) ).
cnf(refute_0_2585,plain,
( add(X_67,add(inverse(X_433),X_432)) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(X_67,add(inverse(X_433),X_432)) = add(X_67,add(X_432,inverse(X_433))) ),
inference(resolve,[$cnf( $equal(add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433))),add(X_67,add(X_432,inverse(X_433)))) )],[refute_0_2583,refute_0_2584]) ).
cnf(refute_0_2586,plain,
( add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))) != add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))
| add(X_67,add(inverse(X_433),X_432)) = add(X_67,add(X_432,inverse(X_433))) ),
inference(resolve,[$cnf( $equal(add(X_67,add(inverse(X_433),X_432)),add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))) )],[refute_0_2547,refute_0_2585]) ).
cnf(refute_0_2587,plain,
add(X_67,add(inverse(X_433),X_432)) = add(X_67,add(X_432,inverse(X_433))),
inference(resolve,[$cnf( $equal(add(inverse(add(X_432,X_433)),add(X_432,multiply(X_433,X_67))),add(add(X_432,add(inverse(X_433),X_67)),inverse(add(X_432,X_433)))) )],[refute_0_2495,refute_0_2586]) ).
cnf(refute_0_2588,plain,
add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)) = add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
inference(subst,[],[refute_0_2587:[bind(X_432,$fot(X_87)),bind(X_433,$fot(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),bind(X_67,$fot(X_88))]]) ).
cnf(refute_0_2589,plain,
add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),bind(X_59,$fot(X_87)),bind(X_60,$fot(X_88))]]) ).
cnf(refute_0_2590,plain,
( add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)) != add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87))
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))),bind(Y0,$fot(add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)))),bind(Z0,$fot(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))))]]) ).
cnf(refute_0_2591,plain,
( add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)) != add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87))) )],[refute_0_2589,refute_0_2590]) ).
cnf(refute_0_2592,plain,
add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
inference(resolve,[$cnf( $equal(add(X_88,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),X_87)),add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2588,refute_0_2591]) ).
cnf(refute_0_2593,plain,
( add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_88,X_87)
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,X_87) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))),bind(Y0,$fot(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))))),bind(Z0,$fot(add(X_88,X_87)))]]) ).
cnf(refute_0_2594,plain,
( add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_88,X_87)
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,X_87) ),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2592,refute_0_2593]) ).
cnf(refute_0_2595,plain,
add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_88,X_87),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_88,X_87)) )],[refute_0_2490,refute_0_2594]) ).
cnf(refute_0_2596,plain,
add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
introduced(tautology,[refl,[$fot(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))))]]) ).
cnf(refute_0_2597,plain,
( add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_88,X_87)
| add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_434,add(X_88,X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) ),[1,1],$fot(add(X_88,X_87))]]) ).
cnf(refute_0_2598,plain,
( add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_88,X_87)
| add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_434,add(X_88,X_87)) ),
inference(resolve,[$cnf( $equal(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2596,refute_0_2597]) ).
cnf(refute_0_2599,plain,
add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) = add(X_434,add(X_88,X_87)),
inference(resolve,[$cnf( $equal(add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_88,X_87)) )],[refute_0_2595,refute_0_2598]) ).
cnf(refute_0_2600,plain,
add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))) = add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
inference(subst,[],[refute_0_2587:[bind(X_432,$fot(add(X_87,X_88))),bind(X_433,$fot(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),bind(X_67,$fot(X_434))]]) ).
cnf(refute_0_2601,plain,
add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))),
inference(subst,[],[refute_0_2110:[bind(X_432,$fot(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),bind(X_59,$fot(add(X_87,X_88))),bind(X_60,$fot(X_434))]]) ).
cnf(refute_0_2602,plain,
( add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))) != add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88)))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))),bind(Y0,$fot(add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))))),bind(Z0,$fot(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))))]]) ).
cnf(refute_0_2603,plain,
( add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))) != add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) ),
inference(resolve,[$cnf( $equal(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88)))) )],[refute_0_2601,refute_0_2602]) ).
cnf(refute_0_2604,plain,
add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),
inference(resolve,[$cnf( $equal(add(X_434,add(inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))),add(X_87,X_88))),add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2600,refute_0_2603]) ).
cnf(refute_0_2605,plain,
( add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_434,add(X_88,X_87))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(X_88,X_87)) ),
inference(subst,[],[refute_0_58:[bind(X0,$fot(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))),bind(Y0,$fot(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))))),bind(Z0,$fot(add(X_434,add(X_88,X_87))))]]) ).
cnf(refute_0_2606,plain,
( add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) != add(X_434,add(X_88,X_87))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(X_88,X_87)) ),
inference(resolve,[$cnf( $equal(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))) )],[refute_0_2604,refute_0_2605]) ).
cnf(refute_0_2607,plain,
add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) = add(X_434,add(X_88,X_87)),
inference(resolve,[$cnf( $equal(add(X_434,add(add(X_87,X_88),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))),add(X_434,add(X_88,X_87))) )],[refute_0_2599,refute_0_2606]) ).
cnf(refute_0_2608,plain,
( add(X_88,add(X_87,X_434)) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))) != add(X_434,add(X_88,X_87))
| add(X_88,add(X_87,X_434)) = add(X_434,add(X_88,X_87)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_88,add(X_87,X_434)),add(X_434,add(X_88,X_87))) ),[0],$fot(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))))]]) ).
cnf(refute_0_2609,plain,
( add(X_88,add(X_87,X_434)) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(X_88,add(X_87,X_434)) = add(X_434,add(X_88,X_87)) ),
inference(resolve,[$cnf( $equal(add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87))))),add(X_434,add(X_88,X_87))) )],[refute_0_2607,refute_0_2608]) ).
cnf(refute_0_2610,plain,
( add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))) != add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))
| add(X_88,add(X_87,X_434)) = add(X_434,add(X_88,X_87)) ),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,X_434)),add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) )],[refute_0_2133,refute_0_2609]) ).
cnf(refute_0_2611,plain,
add(X_88,add(X_87,X_434)) = add(X_434,add(X_88,X_87)),
inference(resolve,[$cnf( $equal(add(inverse(multiplicative_identity),add(add(X_87,X_88),multiply(inverse(multiply(X_86,X_87)),X_434))),add(add(add(X_87,X_88),X_434),inverse(add(add(X_87,X_88),inverse(multiply(X_86,X_87)))))) )],[refute_0_599,refute_0_2610]) ).
cnf(refute_0_2612,plain,
( add(X_88,add(X_87,X_434)) != add(X_434,add(X_88,X_87))
| add(X_434,add(X_88,X_87)) = add(X_88,add(X_87,X_434)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_88,add(X_87,X_434)))),bind(Y0,$fot(add(X_434,add(X_88,X_87))))]]) ).
cnf(refute_0_2613,plain,
add(X_434,add(X_88,X_87)) = add(X_88,add(X_87,X_434)),
inference(resolve,[$cnf( $equal(add(X_88,add(X_87,X_434)),add(X_434,add(X_88,X_87))) )],[refute_0_2611,refute_0_2612]) ).
cnf(refute_0_2614,plain,
add(c,add(a,b)) = add(a,add(b,c)),
inference(subst,[],[refute_0_2613:[bind(X_434,$fot(c)),bind(X_87,$fot(b)),bind(X_88,$fot(a))]]) ).
cnf(refute_0_2615,plain,
( add(a,add(b,c)) != add(a,add(b,c))
| add(c,add(a,b)) != add(a,add(b,c))
| add(a,add(b,c)) = add(c,add(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(a,add(b,c)),add(c,add(a,b))) ),[1],$fot(add(a,add(b,c)))]]) ).
cnf(refute_0_2616,plain,
( add(a,add(b,c)) != add(a,add(b,c))
| add(a,add(b,c)) = add(c,add(a,b)) ),
inference(resolve,[$cnf( $equal(add(c,add(a,b)),add(a,add(b,c))) )],[refute_0_2614,refute_0_2615]) ).
cnf(refute_0_2617,plain,
add(a,add(b,c)) != add(a,add(b,c)),
inference(resolve,[$cnf( $equal(add(a,add(b,c)),add(c,add(a,b))) )],[refute_0_2616,refute_0_8]) ).
cnf(refute_0_2618,plain,
add(a,add(b,c)) = add(a,add(b,c)),
introduced(tautology,[refl,[$fot(add(a,add(b,c)))]]) ).
cnf(refute_0_2619,plain,
$false,
inference(resolve,[$cnf( $equal(add(a,add(b,c)),add(a,add(b,c))) )],[refute_0_2618,refute_0_2617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : BOO008-2 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.11 % Command : metis --show proof --show saturation %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 1 17:05:14 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.10/0.31 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 47.95/48.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 47.95/48.13
% 47.95/48.13 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 48.25/48.48
%------------------------------------------------------------------------------