TSTP Solution File: BOO007-4 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n022.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 23:44:28 EDT 2022
% Result : Unsatisfiable 2.13s 2.31s
% Output : CNFRefutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 142
% Syntax : Number of clauses : 647 ( 333 unt; 0 nHn; 308 RR)
% Number of literals : 1098 (1097 equ; 454 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 : 1357 ( 87 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_add,axiom,
add(X,Y) = add(Y,X) ).
cnf(commutativity_of_multiply,axiom,
multiply(X,Y) = multiply(Y,X) ).
cnf(distributivity1,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ).
cnf(distributivity2,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity ).
cnf(prove_associativity,negated_conjecture,
multiply(a,multiply(b,c)) != multiply(multiply(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( $equal(X0,X0) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
( multiply(X,Y) != multiply(Y,X)
| multiply(Y,X) = multiply(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,Y))),bind(Y0,$fot(multiply(Y,X)))]]) ).
cnf(refute_0_4,plain,
multiply(Y,X) = multiply(X,Y),
inference(resolve,[$cnf( $equal(multiply(X,Y),multiply(Y,X)) )],[commutativity_of_multiply,refute_0_3]) ).
cnf(refute_0_5,plain,
multiply(multiply(a,b),c) = multiply(c,multiply(a,b)),
inference(subst,[],[refute_0_4:[bind(X,$fot(c)),bind(Y,$fot(multiply(a,b)))]]) ).
cnf(refute_0_6,plain,
( multiply(multiply(a,b),c) != multiply(c,multiply(a,b))
| multiply(a,multiply(b,c)) != multiply(c,multiply(a,b))
| multiply(a,multiply(b,c)) = multiply(multiply(a,b),c) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,multiply(b,c)),multiply(multiply(a,b),c)) ),[1],$fot(multiply(c,multiply(a,b)))]]) ).
cnf(refute_0_7,plain,
( multiply(a,multiply(b,c)) != multiply(c,multiply(a,b))
| multiply(a,multiply(b,c)) = multiply(multiply(a,b),c) ),
inference(resolve,[$cnf( $equal(multiply(multiply(a,b),c),multiply(c,multiply(a,b))) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
multiply(a,multiply(b,c)) != multiply(c,multiply(a,b)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(multiply(a,b),c)) )],[refute_0_7,prove_associativity]) ).
cnf(refute_0_9,plain,
multiply(X_36,add(inverse(X_36),X_38)) = add(multiply(X_36,inverse(X_36)),multiply(X_36,X_38)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_36)),bind(Y,$fot(inverse(X_36))),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_10,plain,
multiply(X_36,inverse(X_36)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_11,plain,
( multiply(X_36,add(inverse(X_36),X_38)) != add(multiply(X_36,inverse(X_36)),multiply(X_36,X_38))
| multiply(X_36,inverse(X_36)) != additive_identity
| multiply(X_36,add(inverse(X_36),X_38)) = add(additive_identity,multiply(X_36,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_38)),add(multiply(X_36,inverse(X_36)),multiply(X_36,X_38))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_12,plain,
( multiply(X_36,add(inverse(X_36),X_38)) != add(multiply(X_36,inverse(X_36)),multiply(X_36,X_38))
| multiply(X_36,add(inverse(X_36),X_38)) = add(additive_identity,multiply(X_36,X_38)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,inverse(X_36)),additive_identity) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(X_36,add(inverse(X_36),X_38)) = add(additive_identity,multiply(X_36,X_38)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_38)),add(multiply(X_36,inverse(X_36)),multiply(X_36,X_38))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
add(X,additive_identity) = add(additive_identity,X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_15,plain,
( add(X,additive_identity) != X
| add(X,additive_identity) != add(additive_identity,X)
| add(additive_identity,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,additive_identity),X) ),[0],$fot(add(additive_identity,X))]]) ).
cnf(refute_0_16,plain,
( add(X,additive_identity) != X
| add(additive_identity,X) = X ),
inference(resolve,[$cnf( $equal(add(X,additive_identity),add(additive_identity,X)) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
add(additive_identity,X) = X,
inference(resolve,[$cnf( $equal(add(X,additive_identity),X) )],[additive_id1,refute_0_16]) ).
cnf(refute_0_18,plain,
add(additive_identity,multiply(X_36,X_38)) = multiply(X_36,X_38),
inference(subst,[],[refute_0_17:[bind(X,$fot(multiply(X_36,X_38)))]]) ).
cnf(refute_0_19,plain,
( multiply(X_36,add(inverse(X_36),X_38)) != add(additive_identity,multiply(X_36,X_38))
| add(additive_identity,multiply(X_36,X_38)) != multiply(X_36,X_38)
| multiply(X_36,add(inverse(X_36),X_38)) = multiply(X_36,X_38) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,add(inverse(X_36),X_38)),multiply(X_36,X_38)) ),[0],$fot(add(additive_identity,multiply(X_36,X_38)))]]) ).
cnf(refute_0_20,plain,
( multiply(X_36,add(inverse(X_36),X_38)) != add(additive_identity,multiply(X_36,X_38))
| multiply(X_36,add(inverse(X_36),X_38)) = multiply(X_36,X_38) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_36,X_38)),multiply(X_36,X_38)) )],[refute_0_18,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(X_36,add(inverse(X_36),X_38)) = multiply(X_36,X_38),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_38)),add(additive_identity,multiply(X_36,X_38))) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(X_36,add(inverse(X_36),multiply(X_130,X_129))) = multiply(X_36,multiply(X_130,X_129)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(multiply(X_130,X_129)))]]) ).
cnf(refute_0_23,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_10,X_12))),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_24,plain,
add(X_10,multiply(X_11,X_12)) = multiply(add(X_10,X_11),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_25,plain,
( add(X_10,multiply(X_11,X_12)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_10,multiply(X_11,X_12)))),bind(Y0,$fot(multiply(add(X_10,X_11),add(X_10,X_12))))]]) ).
cnf(refute_0_26,plain,
multiply(add(X_10,X_11),add(X_10,X_12)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,X_12)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( multiply(add(X_10,X_11),add(X_10,X_12)) != add(X_10,multiply(X_11,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),multiply(add(X_10,X_11),add(X_10,X_12))) ),[1],$fot(add(X_10,multiply(X_11,X_12)))]]) ).
cnf(refute_0_28,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != multiply(add(X_10,X_11),add(X_10,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),add(X_10,X_12)),add(X_10,multiply(X_11,X_12))) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),multiply(add(X_10,X_11),add(X_10,X_12))) )],[refute_0_23,refute_0_28]) ).
cnf(refute_0_30,plain,
( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
| multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).
cnf(refute_0_31,plain,
multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity1,refute_0_30]) ).
cnf(refute_0_32,plain,
multiply(add(X_10,X_12),add(X_10,X_11)) = add(X_10,multiply(X_12,X_11)),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_10)),bind(Y,$fot(X_12)),bind(Z,$fot(X_11))]]) ).
cnf(refute_0_33,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_11,X_12))
| multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_12,X_11))
| add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_11,X_12))) ),[0],$fot(add(X_10,multiply(X_12,X_11)))]]) ).
cnf(refute_0_34,plain,
( multiply(add(X_10,X_12),add(X_10,X_11)) != add(X_10,multiply(X_11,X_12))
| add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_12,X_11))) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
add(X_10,multiply(X_12,X_11)) = add(X_10,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_10,X_11)),add(X_10,multiply(X_11,X_12))) )],[refute_0_29,refute_0_34]) ).
cnf(refute_0_36,plain,
add(inverse(X_36),multiply(X_130,X_129)) = add(inverse(X_36),multiply(X_129,X_130)),
inference(subst,[],[refute_0_35:[bind(X_10,$fot(inverse(X_36))),bind(X_11,$fot(X_129)),bind(X_12,$fot(X_130))]]) ).
cnf(refute_0_37,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_130,X_129))) != multiply(X_36,multiply(X_130,X_129))
| add(inverse(X_36),multiply(X_130,X_129)) != add(inverse(X_36),multiply(X_129,X_130))
| multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) = multiply(X_36,multiply(X_130,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_130,X_129))),multiply(X_36,multiply(X_130,X_129))) ),[0,1],$fot(add(inverse(X_36),multiply(X_129,X_130)))]]) ).
cnf(refute_0_38,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_130,X_129))) != multiply(X_36,multiply(X_130,X_129))
| multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) = multiply(X_36,multiply(X_130,X_129)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_36),multiply(X_130,X_129)),add(inverse(X_36),multiply(X_129,X_130))) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) = multiply(X_36,multiply(X_130,X_129)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_130,X_129))),multiply(X_36,multiply(X_130,X_129))) )],[refute_0_22,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) = multiply(X_36,multiply(X_129,X_130)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(multiply(X_129,X_130)))]]) ).
cnf(refute_0_41,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) != multiply(X_36,multiply(X_129,X_130))
| multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) != multiply(X_36,multiply(X_130,X_129))
| multiply(X_36,multiply(X_129,X_130)) = multiply(X_36,multiply(X_130,X_129)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))),multiply(X_36,multiply(X_130,X_129))) ),[0],$fot(multiply(X_36,multiply(X_129,X_130)))]]) ).
cnf(refute_0_42,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))) != multiply(X_36,multiply(X_130,X_129))
| multiply(X_36,multiply(X_129,X_130)) = multiply(X_36,multiply(X_130,X_129)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))),multiply(X_36,multiply(X_129,X_130))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
multiply(X_36,multiply(X_129,X_130)) = multiply(X_36,multiply(X_130,X_129)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_129,X_130))),multiply(X_36,multiply(X_130,X_129))) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
( multiply(X_36,multiply(X_129,X_130)) != multiply(X_36,multiply(X_130,X_129))
| multiply(X_36,multiply(X_130,X_129)) = multiply(X_36,multiply(X_129,X_130)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_36,multiply(X_129,X_130)))),bind(Y0,$fot(multiply(X_36,multiply(X_130,X_129))))]]) ).
cnf(refute_0_45,plain,
multiply(X_36,multiply(X_130,X_129)) = multiply(X_36,multiply(X_129,X_130)),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(X_129,X_130)),multiply(X_36,multiply(X_130,X_129))) )],[refute_0_43,refute_0_44]) ).
cnf(refute_0_46,plain,
multiply(a,multiply(c,b)) = multiply(a,multiply(b,c)),
inference(subst,[],[refute_0_45:[bind(X_129,$fot(b)),bind(X_130,$fot(c)),bind(X_36,$fot(a))]]) ).
cnf(refute_0_47,plain,
multiply(X_36,add(X_37,add(X_14,X_36))) = add(multiply(X_36,X_37),multiply(X_36,add(X_14,X_36))),
inference(subst,[],[distributivity2:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(add(X_14,X_36)))]]) ).
cnf(refute_0_48,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(add(X_10,additive_identity),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_49,plain,
add(X_10,additive_identity) = X_10,
inference(subst,[],[additive_id1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_50,plain,
( add(X_10,multiply(additive_identity,X_12)) != multiply(add(X_10,additive_identity),add(X_10,X_12))
| add(X_10,additive_identity) != X_10
| add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(add(X_10,additive_identity),add(X_10,X_12))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_51,plain,
( add(X_10,multiply(additive_identity,X_12)) != multiply(add(X_10,additive_identity),add(X_10,X_12))
| add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
add(X_10,multiply(additive_identity,X_12)) = multiply(X_10,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(additive_identity,X_12)),multiply(add(X_10,additive_identity),add(X_10,X_12))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
add(X_13,multiply(additive_identity,X_14)) = multiply(X_13,add(X_13,X_14)),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_54,plain,
add(X_14,X_13) = add(X_13,X_14),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_55,plain,
( add(X_14,X_13) != add(X_13,X_14)
| add(X_13,X_14) = add(X_14,X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_14,X_13))),bind(Y0,$fot(add(X_13,X_14)))]]) ).
cnf(refute_0_56,plain,
add(X_13,X_14) = add(X_14,X_13),
inference(resolve,[$cnf( $equal(add(X_14,X_13),add(X_13,X_14)) )],[refute_0_54,refute_0_55]) ).
cnf(refute_0_57,plain,
( add(X_13,X_14) != add(X_14,X_13)
| add(X_13,multiply(additive_identity,X_14)) != multiply(X_13,add(X_13,X_14))
| add(X_13,multiply(additive_identity,X_14)) = multiply(X_13,add(X_14,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,multiply(additive_identity,X_14)),multiply(X_13,add(X_13,X_14))) ),[1,1],$fot(add(X_14,X_13))]]) ).
cnf(refute_0_58,plain,
( add(X_13,multiply(additive_identity,X_14)) != multiply(X_13,add(X_13,X_14))
| add(X_13,multiply(additive_identity,X_14)) = multiply(X_13,add(X_14,X_13)) ),
inference(resolve,[$cnf( $equal(add(X_13,X_14),add(X_14,X_13)) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
add(X_13,multiply(additive_identity,X_14)) = multiply(X_13,add(X_14,X_13)),
inference(resolve,[$cnf( $equal(add(X_13,multiply(additive_identity,X_14)),multiply(X_13,add(X_13,X_14))) )],[refute_0_53,refute_0_58]) ).
cnf(refute_0_60,plain,
add(X_36,multiply(additive_identity,X_14)) = multiply(X_36,add(X_14,X_36)),
inference(subst,[],[refute_0_59:[bind(X_13,$fot(X_36))]]) ).
cnf(refute_0_61,plain,
( add(X_36,multiply(additive_identity,X_14)) != multiply(X_36,add(X_14,X_36))
| multiply(X_36,add(X_14,X_36)) = add(X_36,multiply(additive_identity,X_14)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_36,multiply(additive_identity,X_14)))),bind(Y0,$fot(multiply(X_36,add(X_14,X_36))))]]) ).
cnf(refute_0_62,plain,
multiply(X_36,add(X_14,X_36)) = add(X_36,multiply(additive_identity,X_14)),
inference(resolve,[$cnf( $equal(add(X_36,multiply(additive_identity,X_14)),multiply(X_36,add(X_14,X_36))) )],[refute_0_60,refute_0_61]) ).
cnf(refute_0_63,plain,
( multiply(X_36,add(X_14,X_36)) != add(X_36,multiply(additive_identity,X_14))
| multiply(X_36,add(X_37,add(X_14,X_36))) != add(multiply(X_36,X_37),multiply(X_36,add(X_14,X_36)))
| multiply(X_36,add(X_37,add(X_14,X_36))) = add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,add(X_14,X_36))),add(multiply(X_36,X_37),multiply(X_36,add(X_14,X_36)))) ),[1,1],$fot(add(X_36,multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_64,plain,
( multiply(X_36,add(X_37,add(X_14,X_36))) != add(multiply(X_36,X_37),multiply(X_36,add(X_14,X_36)))
| multiply(X_36,add(X_37,add(X_14,X_36))) = add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_14,X_36)),add(X_36,multiply(additive_identity,X_14))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(X_36,add(X_37,add(X_14,X_36))) = add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,add(X_14,X_36))),add(multiply(X_36,X_37),multiply(X_36,add(X_14,X_36)))) )],[refute_0_47,refute_0_64]) ).
cnf(refute_0_66,plain,
multiply(X_36,add(X_37,multiplicative_identity)) = add(multiply(X_36,X_37),multiply(X_36,multiplicative_identity)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_36)),bind(Y,$fot(X_37)),bind(Z,$fot(multiplicative_identity))]]) ).
cnf(refute_0_67,plain,
multiply(X_36,multiplicative_identity) = X_36,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_68,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != add(multiply(X_36,X_37),multiply(X_36,multiplicative_identity))
| multiply(X_36,multiplicative_identity) != X_36
| multiply(X_36,add(X_37,multiplicative_identity)) = add(multiply(X_36,X_37),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),add(multiply(X_36,X_37),multiply(X_36,multiplicative_identity))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_69,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != add(multiply(X_36,X_37),multiply(X_36,multiplicative_identity))
| multiply(X_36,add(X_37,multiplicative_identity)) = add(multiply(X_36,X_37),X_36) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiplicative_identity),X_36) )],[refute_0_67,refute_0_68]) ).
cnf(refute_0_70,plain,
multiply(X_36,add(X_37,multiplicative_identity)) = add(multiply(X_36,X_37),X_36),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),add(multiply(X_36,X_37),multiply(X_36,multiplicative_identity))) )],[refute_0_66,refute_0_69]) ).
cnf(refute_0_71,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),add(X_10,inverse(X_10))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_72,plain,
add(X_10,inverse(X_10)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_73,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),add(X_10,inverse(X_10)))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),add(X_10,inverse(X_10)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_74,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),add(X_10,inverse(X_10)))
| add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_72,refute_0_73]) ).
cnf(refute_0_75,plain,
add(X_10,multiply(X_11,inverse(X_10))) = multiply(add(X_10,X_11),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),add(X_10,inverse(X_10)))) )],[refute_0_71,refute_0_74]) ).
cnf(refute_0_76,plain,
multiply(add(X_10,X_11),multiplicative_identity) = add(X_10,X_11),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_77,plain,
( multiply(add(X_10,X_11),multiplicative_identity) != add(X_10,X_11)
| add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),multiplicative_identity)
| add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),multiplicative_identity)) ),[1],$fot(add(X_10,X_11))]]) ).
cnf(refute_0_78,plain,
( add(X_10,multiply(X_11,inverse(X_10))) != multiply(add(X_10,X_11),multiplicative_identity)
| add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),multiplicative_identity),add(X_10,X_11)) )],[refute_0_76,refute_0_77]) ).
cnf(refute_0_79,plain,
add(X_10,multiply(X_11,inverse(X_10))) = add(X_10,X_11),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,inverse(X_10))),multiply(add(X_10,X_11),multiplicative_identity)) )],[refute_0_75,refute_0_78]) ).
cnf(refute_0_80,plain,
add(X_19,multiply(multiplicative_identity,inverse(X_19))) = add(X_19,multiplicative_identity),
inference(subst,[],[refute_0_79:[bind(X_10,$fot(X_19)),bind(X_11,$fot(multiplicative_identity))]]) ).
cnf(refute_0_81,plain,
multiply(X,multiplicative_identity) = multiply(multiplicative_identity,X),
inference(subst,[],[commutativity_of_multiply:[bind(Y,$fot(multiplicative_identity))]]) ).
cnf(refute_0_82,plain,
( multiply(X,multiplicative_identity) != X
| multiply(X,multiplicative_identity) != multiply(multiplicative_identity,X)
| multiply(multiplicative_identity,X) = X ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,multiplicative_identity),X) ),[0],$fot(multiply(multiplicative_identity,X))]]) ).
cnf(refute_0_83,plain,
( multiply(X,multiplicative_identity) != X
| multiply(multiplicative_identity,X) = X ),
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),multiply(multiplicative_identity,X)) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(multiplicative_identity,X) = X,
inference(resolve,[$cnf( $equal(multiply(X,multiplicative_identity),X) )],[multiplicative_id1,refute_0_83]) ).
cnf(refute_0_85,plain,
multiply(multiplicative_identity,inverse(X_19)) = inverse(X_19),
inference(subst,[],[refute_0_84:[bind(X,$fot(inverse(X_19)))]]) ).
cnf(refute_0_86,plain,
( multiply(multiplicative_identity,inverse(X_19)) != inverse(X_19)
| add(X_19,multiply(multiplicative_identity,inverse(X_19))) != add(X_19,multiplicative_identity)
| add(X_19,inverse(X_19)) = add(X_19,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_19,multiply(multiplicative_identity,inverse(X_19))),add(X_19,multiplicative_identity)) ),[0,1],$fot(inverse(X_19))]]) ).
cnf(refute_0_87,plain,
( add(X_19,multiply(multiplicative_identity,inverse(X_19))) != add(X_19,multiplicative_identity)
| add(X_19,inverse(X_19)) = add(X_19,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(X_19)),inverse(X_19)) )],[refute_0_85,refute_0_86]) ).
cnf(refute_0_88,plain,
add(X_19,inverse(X_19)) = add(X_19,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_19,multiply(multiplicative_identity,inverse(X_19))),add(X_19,multiplicative_identity)) )],[refute_0_80,refute_0_87]) ).
cnf(refute_0_89,plain,
add(X_19,inverse(X_19)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_90,plain,
( add(X_19,inverse(X_19)) != add(X_19,multiplicative_identity)
| add(X_19,inverse(X_19)) != multiplicative_identity
| multiplicative_identity = add(X_19,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_19,inverse(X_19)),add(X_19,multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_91,plain,
( add(X_19,inverse(X_19)) != add(X_19,multiplicative_identity)
| multiplicative_identity = add(X_19,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_19,inverse(X_19)),multiplicative_identity) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
multiplicative_identity = add(X_19,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_19,inverse(X_19)),add(X_19,multiplicative_identity)) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
( multiplicative_identity != add(X_19,multiplicative_identity)
| add(X_19,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_19,multiplicative_identity)))]]) ).
cnf(refute_0_94,plain,
add(X_19,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_19,multiplicative_identity)) )],[refute_0_92,refute_0_93]) ).
cnf(refute_0_95,plain,
add(X_37,multiplicative_identity) = multiplicative_identity,
inference(subst,[],[refute_0_94:[bind(X_19,$fot(X_37))]]) ).
cnf(refute_0_96,plain,
multiply(X_36,add(X_37,multiplicative_identity)) = multiply(X_36,add(X_37,multiplicative_identity)),
introduced(tautology,[refl,[$fot(multiply(X_36,add(X_37,multiplicative_identity)))]]) ).
cnf(refute_0_97,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != multiply(X_36,add(X_37,multiplicative_identity))
| add(X_37,multiplicative_identity) != multiplicative_identity
| multiply(X_36,add(X_37,multiplicative_identity)) = multiply(X_36,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),multiply(X_36,add(X_37,multiplicative_identity))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_98,plain,
( add(X_37,multiplicative_identity) != multiplicative_identity
| multiply(X_36,add(X_37,multiplicative_identity)) = multiply(X_36,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),multiply(X_36,add(X_37,multiplicative_identity))) )],[refute_0_96,refute_0_97]) ).
cnf(refute_0_99,plain,
multiply(X_36,add(X_37,multiplicative_identity)) = multiply(X_36,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_37,multiplicative_identity),multiplicative_identity) )],[refute_0_95,refute_0_98]) ).
cnf(refute_0_100,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_101,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_100]) ).
cnf(refute_0_102,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != multiply(X_36,multiplicative_identity)
| multiply(X_36,multiplicative_identity) != X_36
| multiply(X_36,add(X_37,multiplicative_identity)) = X_36 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(X_36,add(X_37,multiplicative_identity)))),bind(Y0,$fot(multiply(X_36,multiplicative_identity))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_103,plain,
( multiply(X_36,multiplicative_identity) != X_36
| multiply(X_36,add(X_37,multiplicative_identity)) = X_36 ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),multiply(X_36,multiplicative_identity)) )],[refute_0_99,refute_0_102]) ).
cnf(refute_0_104,plain,
multiply(X_36,add(X_37,multiplicative_identity)) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,multiplicative_identity),X_36) )],[refute_0_67,refute_0_103]) ).
cnf(refute_0_105,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != X_36
| multiply(X_36,add(X_37,multiplicative_identity)) != add(multiply(X_36,X_37),X_36)
| X_36 = add(multiply(X_36,X_37),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),add(multiply(X_36,X_37),X_36)) ),[0],$fot(X_36)]]) ).
cnf(refute_0_106,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != add(multiply(X_36,X_37),X_36)
| X_36 = add(multiply(X_36,X_37),X_36) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),X_36) )],[refute_0_104,refute_0_105]) ).
cnf(refute_0_107,plain,
add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_108,plain,
add(X_19,multiply(X_19,inverse(X_19))) = add(X_19,X_19),
inference(subst,[],[refute_0_79:[bind(X_10,$fot(X_19)),bind(X_11,$fot(X_19))]]) ).
cnf(refute_0_109,plain,
multiply(X_19,inverse(X_19)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_110,plain,
( multiply(X_19,inverse(X_19)) != additive_identity
| add(X_19,multiply(X_19,inverse(X_19))) != add(X_19,X_19)
| add(X_19,additive_identity) = add(X_19,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_19,multiply(X_19,inverse(X_19))),add(X_19,X_19)) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_111,plain,
( add(X_19,multiply(X_19,inverse(X_19))) != add(X_19,X_19)
| add(X_19,additive_identity) = add(X_19,X_19) ),
inference(resolve,[$cnf( $equal(multiply(X_19,inverse(X_19)),additive_identity) )],[refute_0_109,refute_0_110]) ).
cnf(refute_0_112,plain,
add(X_19,additive_identity) = add(X_19,X_19),
inference(resolve,[$cnf( $equal(add(X_19,multiply(X_19,inverse(X_19))),add(X_19,X_19)) )],[refute_0_108,refute_0_111]) ).
cnf(refute_0_113,plain,
add(X_19,additive_identity) = X_19,
inference(subst,[],[additive_id1:[bind(X,$fot(X_19))]]) ).
cnf(refute_0_114,plain,
( add(X_19,additive_identity) != X_19
| add(X_19,additive_identity) != add(X_19,X_19)
| X_19 = add(X_19,X_19) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_19,additive_identity),add(X_19,X_19)) ),[0],$fot(X_19)]]) ).
cnf(refute_0_115,plain,
( add(X_19,additive_identity) != add(X_19,X_19)
| X_19 = add(X_19,X_19) ),
inference(resolve,[$cnf( $equal(add(X_19,additive_identity),X_19) )],[refute_0_113,refute_0_114]) ).
cnf(refute_0_116,plain,
X_19 = add(X_19,X_19),
inference(resolve,[$cnf( $equal(add(X_19,additive_identity),add(X_19,X_19)) )],[refute_0_112,refute_0_115]) ).
cnf(refute_0_117,plain,
Y = add(Y,Y),
inference(subst,[],[refute_0_116:[bind(X_19,$fot(Y))]]) ).
cnf(refute_0_118,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_119,plain,
add(Y,Y) = Y,
inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_117,refute_0_118]) ).
cnf(refute_0_120,plain,
( add(Y,Y) != Y
| add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_121,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( $equal(add(Y,Y),Y) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_107,refute_0_121]) ).
cnf(refute_0_123,plain,
add(X_36,multiply(X_36,X_37)) = multiply(X_36,add(X_36,X_37)),
inference(subst,[],[refute_0_122:[bind(Y,$fot(X_36)),bind(Z,$fot(X_37))]]) ).
cnf(refute_0_124,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_125,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_124]) ).
cnf(refute_0_126,plain,
add(multiply(X_36,X_37),X_36) = add(X_36,multiply(X_36,X_37)),
inference(subst,[],[refute_0_125:[bind(X,$fot(X_36)),bind(Y,$fot(multiply(X_36,X_37)))]]) ).
cnf(refute_0_127,plain,
( add(X_36,multiply(X_36,X_37)) != multiply(X_36,add(X_36,X_37))
| add(multiply(X_36,X_37),X_36) != add(X_36,multiply(X_36,X_37))
| add(multiply(X_36,X_37),X_36) = multiply(X_36,add(X_36,X_37)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(multiply(X_36,X_37),X_36))),bind(Y0,$fot(add(X_36,multiply(X_36,X_37)))),bind(Z0,$fot(multiply(X_36,add(X_36,X_37))))]]) ).
cnf(refute_0_128,plain,
( add(X_36,multiply(X_36,X_37)) != multiply(X_36,add(X_36,X_37))
| add(multiply(X_36,X_37),X_36) = multiply(X_36,add(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),X_36),add(X_36,multiply(X_36,X_37))) )],[refute_0_126,refute_0_127]) ).
cnf(refute_0_129,plain,
add(multiply(X_36,X_37),X_36) = multiply(X_36,add(X_36,X_37)),
inference(resolve,[$cnf( $equal(add(X_36,multiply(X_36,X_37)),multiply(X_36,add(X_36,X_37))) )],[refute_0_123,refute_0_128]) ).
cnf(refute_0_130,plain,
( X_36 != add(multiply(X_36,X_37),X_36)
| add(multiply(X_36,X_37),X_36) != multiply(X_36,add(X_36,X_37))
| X_36 = multiply(X_36,add(X_36,X_37)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_36,multiply(X_36,add(X_36,X_37))) ),[0],$fot(add(multiply(X_36,X_37),X_36))]]) ).
cnf(refute_0_131,plain,
( X_36 != add(multiply(X_36,X_37),X_36)
| X_36 = multiply(X_36,add(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),X_36),multiply(X_36,add(X_36,X_37))) )],[refute_0_129,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(X_36,add(X_37,multiplicative_identity)) != add(multiply(X_36,X_37),X_36)
| X_36 = multiply(X_36,add(X_36,X_37)) ),
inference(resolve,[$cnf( $equal(X_36,add(multiply(X_36,X_37),X_36)) )],[refute_0_106,refute_0_131]) ).
cnf(refute_0_133,plain,
X_36 = multiply(X_36,add(X_36,X_37)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,multiplicative_identity)),add(multiply(X_36,X_37),X_36)) )],[refute_0_70,refute_0_132]) ).
cnf(refute_0_134,plain,
( X_36 != multiply(X_36,add(X_36,X_37))
| multiply(X_36,add(X_36,X_37)) = X_36 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_36)),bind(Y0,$fot(multiply(X_36,add(X_36,X_37))))]]) ).
cnf(refute_0_135,plain,
multiply(X_36,add(X_36,X_37)) = X_36,
inference(resolve,[$cnf( $equal(X_36,multiply(X_36,add(X_36,X_37))) )],[refute_0_133,refute_0_134]) ).
cnf(refute_0_136,plain,
( multiply(X_36,add(X_36,X_37)) != X_36
| add(X_36,multiply(X_36,X_37)) != multiply(X_36,add(X_36,X_37))
| add(X_36,multiply(X_36,X_37)) = X_36 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(X_36,multiply(X_36,X_37)))),bind(Y0,$fot(multiply(X_36,add(X_36,X_37)))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_137,plain,
( multiply(X_36,add(X_36,X_37)) != X_36
| add(X_36,multiply(X_36,X_37)) = X_36 ),
inference(resolve,[$cnf( $equal(add(X_36,multiply(X_36,X_37)),multiply(X_36,add(X_36,X_37))) )],[refute_0_123,refute_0_136]) ).
cnf(refute_0_138,plain,
add(X_36,multiply(X_36,X_37)) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_36,X_37)),X_36) )],[refute_0_135,refute_0_137]) ).
cnf(refute_0_139,plain,
( add(X_36,multiply(X_36,X_37)) != X_36
| add(multiply(X_36,X_37),X_36) != add(X_36,multiply(X_36,X_37))
| add(multiply(X_36,X_37),X_36) = X_36 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(multiply(X_36,X_37),X_36))),bind(Y0,$fot(add(X_36,multiply(X_36,X_37)))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_140,plain,
( add(X_36,multiply(X_36,X_37)) != X_36
| add(multiply(X_36,X_37),X_36) = X_36 ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),X_36),add(X_36,multiply(X_36,X_37))) )],[refute_0_126,refute_0_139]) ).
cnf(refute_0_141,plain,
add(multiply(X_36,X_37),X_36) = X_36,
inference(resolve,[$cnf( $equal(add(X_36,multiply(X_36,X_37)),X_36) )],[refute_0_138,refute_0_140]) ).
cnf(refute_0_142,plain,
add(X_36,additive_identity) = X_36,
inference(subst,[],[additive_id1:[bind(X,$fot(X_36))]]) ).
cnf(refute_0_143,plain,
multiply(additive_identity,add(additive_identity,X_38)) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38)),
inference(subst,[],[distributivity2:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_38))]]) ).
cnf(refute_0_144,plain,
add(multiply(additive_identity,additive_identity),Y) = add(Y,multiply(additive_identity,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_145,plain,
add(X_13,multiply(additive_identity,additive_identity)) = multiply(X_13,add(X_13,additive_identity)),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(X_13)),bind(X_12,$fot(additive_identity))]]) ).
cnf(refute_0_146,plain,
add(X_13,additive_identity) = X_13,
inference(subst,[],[additive_id1:[bind(X,$fot(X_13))]]) ).
cnf(refute_0_147,plain,
( add(X_13,multiply(additive_identity,additive_identity)) != multiply(X_13,add(X_13,additive_identity))
| add(X_13,additive_identity) != X_13
| add(X_13,multiply(additive_identity,additive_identity)) = multiply(X_13,X_13) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,multiply(additive_identity,additive_identity)),multiply(X_13,add(X_13,additive_identity))) ),[1,1],$fot(X_13)]]) ).
cnf(refute_0_148,plain,
( add(X_13,multiply(additive_identity,additive_identity)) != multiply(X_13,add(X_13,additive_identity))
| add(X_13,multiply(additive_identity,additive_identity)) = multiply(X_13,X_13) ),
inference(resolve,[$cnf( $equal(add(X_13,additive_identity),X_13) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
add(X_13,multiply(additive_identity,additive_identity)) = multiply(X_13,X_13),
inference(resolve,[$cnf( $equal(add(X_13,multiply(additive_identity,additive_identity)),multiply(X_13,add(X_13,additive_identity))) )],[refute_0_145,refute_0_148]) ).
cnf(refute_0_150,plain,
add(Y,multiply(additive_identity,additive_identity)) = multiply(Y,Y),
inference(subst,[],[refute_0_149:[bind(X_13,$fot(Y))]]) ).
cnf(refute_0_151,plain,
( add(Y,multiply(additive_identity,additive_identity)) != multiply(Y,Y)
| add(multiply(additive_identity,additive_identity),Y) != add(Y,multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),Y),add(Y,multiply(additive_identity,additive_identity))) ),[1],$fot(multiply(Y,Y))]]) ).
cnf(refute_0_152,plain,
( add(multiply(additive_identity,additive_identity),Y) != add(Y,multiply(additive_identity,additive_identity))
| add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),multiply(Y,Y)) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
add(multiply(additive_identity,additive_identity),Y) = multiply(Y,Y),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),Y),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_144,refute_0_152]) ).
cnf(refute_0_154,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38)) = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)),
inference(subst,[],[refute_0_153:[bind(Y,$fot(multiply(additive_identity,X_38)))]]) ).
cnf(refute_0_155,plain,
( multiply(additive_identity,add(additive_identity,X_38)) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38)) != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| multiply(additive_identity,add(additive_identity,X_38)) = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(additive_identity,add(additive_identity,X_38)),multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) ),[0],$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38)))]]) ).
cnf(refute_0_156,plain,
( multiply(additive_identity,add(additive_identity,X_38)) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38))
| multiply(additive_identity,add(additive_identity,X_38)) = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38)),multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) )],[refute_0_154,refute_0_155]) ).
cnf(refute_0_157,plain,
multiply(additive_identity,add(additive_identity,X_38)) = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_38)),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_38))) )],[refute_0_143,refute_0_156]) ).
cnf(refute_0_158,plain,
multiply(additive_identity,add(additive_identity,X_38)) = additive_identity,
inference(subst,[],[refute_0_135:[bind(X_36,$fot(additive_identity)),bind(X_37,$fot(X_38))]]) ).
cnf(refute_0_159,plain,
( multiply(additive_identity,add(additive_identity,X_38)) != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| multiply(additive_identity,add(additive_identity,X_38)) != additive_identity
| additive_identity = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_38)),multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_160,plain,
( multiply(additive_identity,add(additive_identity,X_38)) != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| additive_identity = multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_38)),additive_identity) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_162,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),
inference(subst,[],[refute_0_153:[bind(Y,$fot(multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_163,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) ),[0],$fot(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_164,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_161,refute_0_164]) ).
cnf(refute_0_166,plain,
multiply(X_14,additive_identity) = multiply(additive_identity,X_14),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_14)),bind(Y,$fot(additive_identity))]]) ).
cnf(refute_0_167,plain,
( multiply(X_14,additive_identity) != multiply(additive_identity,X_14)
| multiply(additive_identity,X_14) = multiply(X_14,additive_identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_14,additive_identity))),bind(Y0,$fot(multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_168,plain,
multiply(additive_identity,X_14) = multiply(X_14,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_14,additive_identity),multiply(additive_identity,X_14)) )],[refute_0_166,refute_0_167]) ).
cnf(refute_0_169,plain,
( multiply(additive_identity,X_14) != multiply(X_14,additive_identity)
| add(X_13,multiply(additive_identity,X_14)) != multiply(X_13,add(X_13,X_14))
| add(X_13,multiply(X_14,additive_identity)) = multiply(X_13,add(X_13,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_13,multiply(additive_identity,X_14)),multiply(X_13,add(X_13,X_14))) ),[0,1],$fot(multiply(X_14,additive_identity))]]) ).
cnf(refute_0_170,plain,
( add(X_13,multiply(additive_identity,X_14)) != multiply(X_13,add(X_13,X_14))
| add(X_13,multiply(X_14,additive_identity)) = multiply(X_13,add(X_13,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_14),multiply(X_14,additive_identity)) )],[refute_0_168,refute_0_169]) ).
cnf(refute_0_171,plain,
add(X_13,multiply(X_14,additive_identity)) = multiply(X_13,add(X_13,X_14)),
inference(resolve,[$cnf( $equal(add(X_13,multiply(additive_identity,X_14)),multiply(X_13,add(X_13,X_14))) )],[refute_0_53,refute_0_170]) ).
cnf(refute_0_172,plain,
( add(X_13,multiply(X_14,additive_identity)) != multiply(X_13,add(X_13,X_14))
| multiply(X_13,add(X_13,X_14)) = add(X_13,multiply(X_14,additive_identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_13,multiply(X_14,additive_identity)))),bind(Y0,$fot(multiply(X_13,add(X_13,X_14))))]]) ).
cnf(refute_0_173,plain,
multiply(X_13,add(X_13,X_14)) = add(X_13,multiply(X_14,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_13,multiply(X_14,additive_identity)),multiply(X_13,add(X_13,X_14))) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) = add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)),
inference(subst,[],[refute_0_173:[bind(X_13,$fot(multiply(additive_identity,additive_identity))),bind(X_14,$fot(X_12))]]) ).
cnf(refute_0_175,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)) != add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)))]]) ).
cnf(refute_0_176,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12)),add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))) )],[refute_0_174,refute_0_175]) ).
cnf(refute_0_177,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_165,refute_0_176]) ).
cnf(refute_0_178,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),add(X_10,additive_identity)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_179,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),add(X_10,additive_identity))
| add(X_10,additive_identity) != X_10
| add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),add(X_10,additive_identity))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_180,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),add(X_10,additive_identity))
| add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10) ),
inference(resolve,[$cnf( $equal(add(X_10,additive_identity),X_10) )],[refute_0_49,refute_0_179]) ).
cnf(refute_0_181,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(add(X_10,X_11),X_10),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),add(X_10,additive_identity))) )],[refute_0_178,refute_0_180]) ).
cnf(refute_0_182,plain,
multiply(add(X_10,X_11),X_10) = multiply(X_10,add(X_10,X_11)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_10)),bind(Y,$fot(add(X_10,X_11)))]]) ).
cnf(refute_0_183,plain,
( multiply(add(X_10,X_11),X_10) != multiply(X_10,add(X_10,X_11))
| add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),X_10)
| add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),X_10)) ),[1],$fot(multiply(X_10,add(X_10,X_11)))]]) ).
cnf(refute_0_184,plain,
( add(X_10,multiply(X_11,additive_identity)) != multiply(add(X_10,X_11),X_10)
| add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_11),X_10),multiply(X_10,add(X_10,X_11))) )],[refute_0_182,refute_0_183]) ).
cnf(refute_0_185,plain,
add(X_10,multiply(X_11,additive_identity)) = multiply(X_10,add(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(X_11,additive_identity)),multiply(add(X_10,X_11),X_10)) )],[refute_0_181,refute_0_184]) ).
cnf(refute_0_186,plain,
add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_27)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(multiply(additive_identity,additive_identity))),bind(X_11,$fot(X_27))]]) ).
cnf(refute_0_187,plain,
add(multiply(additive_identity,additive_identity),X_27) = multiply(X_27,X_27),
inference(subst,[],[refute_0_153:[bind(Y,$fot(X_27))]]) ).
cnf(refute_0_188,plain,
( add(multiply(additive_identity,additive_identity),X_27) != multiply(X_27,X_27)
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_27))
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_27))) ),[1,1],$fot(multiply(X_27,X_27))]]) ).
cnf(refute_0_189,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_27))
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_27),multiply(X_27,X_27)) )],[refute_0_187,refute_0_188]) ).
cnf(refute_0_190,plain,
add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_27))) )],[refute_0_186,refute_0_189]) ).
cnf(refute_0_191,plain,
add(multiply(additive_identity,additive_identity),X_12) = multiply(X_12,X_12),
inference(subst,[],[refute_0_153:[bind(Y,$fot(X_12))]]) ).
cnf(refute_0_192,plain,
( add(multiply(additive_identity,additive_identity),X_12) != multiply(X_12,X_12)
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) ),[1,1],$fot(multiply(X_12,X_12))]]) ).
cnf(refute_0_193,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_12),multiply(X_12,X_12)) )],[refute_0_191,refute_0_192]) ).
cnf(refute_0_194,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_12))) )],[refute_0_161,refute_0_193]) ).
cnf(refute_0_195,plain,
add(additive_identity,X_12) = X_12,
inference(subst,[],[refute_0_17:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_196,plain,
multiply(additive_identity,add(additive_identity,X_12)) = multiply(additive_identity,add(additive_identity,X_12)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(additive_identity,X_12)))]]) ).
cnf(refute_0_197,plain,
( multiply(additive_identity,add(additive_identity,X_12)) != multiply(additive_identity,add(additive_identity,X_12))
| add(additive_identity,X_12) != X_12
| multiply(additive_identity,add(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_12)),multiply(additive_identity,add(additive_identity,X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_198,plain,
( add(additive_identity,X_12) != X_12
| multiply(additive_identity,add(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_12)),multiply(additive_identity,add(additive_identity,X_12))) )],[refute_0_196,refute_0_197]) ).
cnf(refute_0_199,plain,
multiply(additive_identity,add(additive_identity,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_195,refute_0_198]) ).
cnf(refute_0_200,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_201,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity2,refute_0_200]) ).
cnf(refute_0_202,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(additive_identity,add(additive_identity,X_12)),
inference(subst,[],[refute_0_201:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_203,plain,
( multiply(additive_identity,add(additive_identity,X_12)) != multiply(additive_identity,X_12)
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(additive_identity,add(additive_identity,X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_12)))),bind(Z0,$fot(multiply(additive_identity,X_12)))]]) ).
cnf(refute_0_204,plain,
( multiply(additive_identity,add(additive_identity,X_12)) != multiply(additive_identity,X_12)
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(additive_identity,add(additive_identity,X_12))) )],[refute_0_202,refute_0_203]) ).
cnf(refute_0_205,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_12)),multiply(additive_identity,X_12)) )],[refute_0_199,refute_0_204]) ).
cnf(refute_0_206,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(additive_identity,X_12)
| multiply(additive_identity,X_12) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))) ),[0],$fot(multiply(additive_identity,X_12))]]) ).
cnf(refute_0_207,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)) != multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))
| multiply(additive_identity,X_12) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(additive_identity,X_12)) )],[refute_0_205,refute_0_206]) ).
cnf(refute_0_208,plain,
multiply(additive_identity,X_12) = multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_12)),multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))) )],[refute_0_194,refute_0_207]) ).
cnf(refute_0_209,plain,
( multiply(additive_identity,X_12) != multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))
| multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) = multiply(additive_identity,X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,X_12))),bind(Y0,$fot(multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))))]]) ).
cnf(refute_0_210,plain,
multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_12),multiply(multiply(additive_identity,additive_identity),multiply(X_12,X_12))) )],[refute_0_208,refute_0_209]) ).
cnf(refute_0_211,plain,
multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)) = multiply(additive_identity,X_27),
inference(subst,[],[refute_0_210:[bind(X_12,$fot(X_27))]]) ).
cnf(refute_0_212,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)) != multiply(additive_identity,X_27)
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27))
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(additive_identity,X_27) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27))) ),[1],$fot(multiply(additive_identity,X_27))]]) ).
cnf(refute_0_213,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27))
| add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(additive_identity,X_27) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27)),multiply(additive_identity,X_27)) )],[refute_0_211,refute_0_212]) ).
cnf(refute_0_214,plain,
add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)) = multiply(additive_identity,X_27),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_27,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_27,X_27))) )],[refute_0_190,refute_0_213]) ).
cnf(refute_0_215,plain,
add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)) = multiply(additive_identity,X_12),
inference(subst,[],[refute_0_214:[bind(X_27,$fot(X_12))]]) ).
cnf(refute_0_216,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))
| add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)) != multiply(additive_identity,X_12)
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),multiply(additive_identity,X_12)) ),[0],$fot(add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)))]]) ).
cnf(refute_0_217,plain,
( multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) != add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))
| multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity)),multiply(additive_identity,X_12)) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)) = multiply(additive_identity,X_12),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_12),multiply(additive_identity,X_12)),add(multiply(additive_identity,additive_identity),multiply(X_12,additive_identity))) )],[refute_0_177,refute_0_217]) ).
cnf(refute_0_219,plain,
multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) = multiply(additive_identity,X_38),
inference(subst,[],[refute_0_218:[bind(X_12,$fot(X_38))]]) ).
cnf(refute_0_220,plain,
( multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)) != multiply(additive_identity,X_38)
| additive_identity != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| additive_identity = multiply(additive_identity,X_38) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) ),[1],$fot(multiply(additive_identity,X_38))]]) ).
cnf(refute_0_221,plain,
( additive_identity != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| additive_identity = multiply(additive_identity,X_38) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38)),multiply(additive_identity,X_38)) )],[refute_0_219,refute_0_220]) ).
cnf(refute_0_222,plain,
( multiply(additive_identity,add(additive_identity,X_38)) != multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))
| additive_identity = multiply(additive_identity,X_38) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) )],[refute_0_160,refute_0_221]) ).
cnf(refute_0_223,plain,
additive_identity = multiply(additive_identity,X_38),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_38)),multiply(multiply(additive_identity,X_38),multiply(additive_identity,X_38))) )],[refute_0_157,refute_0_222]) ).
cnf(refute_0_224,plain,
( additive_identity != multiply(additive_identity,X_38)
| multiply(additive_identity,X_38) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_38)))]]) ).
cnf(refute_0_225,plain,
multiply(additive_identity,X_38) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_38)) )],[refute_0_223,refute_0_224]) ).
cnf(refute_0_226,plain,
multiply(additive_identity,X_14) = additive_identity,
inference(subst,[],[refute_0_225:[bind(X_38,$fot(X_14))]]) ).
cnf(refute_0_227,plain,
add(X_36,multiply(additive_identity,X_14)) = add(X_36,multiply(additive_identity,X_14)),
introduced(tautology,[refl,[$fot(add(X_36,multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_228,plain,
( multiply(additive_identity,X_14) != additive_identity
| add(X_36,multiply(additive_identity,X_14)) != add(X_36,multiply(additive_identity,X_14))
| add(X_36,multiply(additive_identity,X_14)) = add(X_36,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_36,multiply(additive_identity,X_14)),add(X_36,multiply(additive_identity,X_14))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_229,plain,
( multiply(additive_identity,X_14) != additive_identity
| add(X_36,multiply(additive_identity,X_14)) = add(X_36,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_36,multiply(additive_identity,X_14)),add(X_36,multiply(additive_identity,X_14))) )],[refute_0_227,refute_0_228]) ).
cnf(refute_0_230,plain,
add(X_36,multiply(additive_identity,X_14)) = add(X_36,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_14),additive_identity) )],[refute_0_226,refute_0_229]) ).
cnf(refute_0_231,plain,
( add(X_36,multiply(additive_identity,X_14)) != add(X_36,additive_identity)
| add(X_36,additive_identity) != X_36
| add(X_36,multiply(additive_identity,X_14)) = X_36 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(X_36,multiply(additive_identity,X_14)))),bind(Y0,$fot(add(X_36,additive_identity))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_232,plain,
( add(X_36,additive_identity) != X_36
| add(X_36,multiply(additive_identity,X_14)) = X_36 ),
inference(resolve,[$cnf( $equal(add(X_36,multiply(additive_identity,X_14)),add(X_36,additive_identity)) )],[refute_0_230,refute_0_231]) ).
cnf(refute_0_233,plain,
add(X_36,multiply(additive_identity,X_14)) = X_36,
inference(resolve,[$cnf( $equal(add(X_36,additive_identity),X_36) )],[refute_0_142,refute_0_232]) ).
cnf(refute_0_234,plain,
add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),
introduced(tautology,[refl,[$fot(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))))]]) ).
cnf(refute_0_235,plain,
( add(X_36,multiply(additive_identity,X_14)) != X_36
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) != add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = add(multiply(X_36,X_37),X_36) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_236,plain,
( add(X_36,multiply(additive_identity,X_14)) != X_36
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = add(multiply(X_36,X_37),X_36) ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))) )],[refute_0_234,refute_0_235]) ).
cnf(refute_0_237,plain,
add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = add(multiply(X_36,X_37),X_36),
inference(resolve,[$cnf( $equal(add(X_36,multiply(additive_identity,X_14)),X_36) )],[refute_0_233,refute_0_236]) ).
cnf(refute_0_238,plain,
( add(multiply(X_36,X_37),X_36) != X_36
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) != add(multiply(X_36,X_37),X_36)
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = X_36 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))))),bind(Y0,$fot(add(multiply(X_36,X_37),X_36))),bind(Z0,$fot(X_36))]]) ).
cnf(refute_0_239,plain,
( add(multiply(X_36,X_37),X_36) != X_36
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = X_36 ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),add(multiply(X_36,X_37),X_36)) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) = X_36,
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),X_36),X_36) )],[refute_0_141,refute_0_239]) ).
cnf(refute_0_241,plain,
( multiply(X_36,add(X_37,add(X_14,X_36))) != add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))
| add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))) != X_36
| multiply(X_36,add(X_37,add(X_14,X_36))) = X_36 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,add(X_37,add(X_14,X_36))),X_36) ),[0],$fot(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))))]]) ).
cnf(refute_0_242,plain,
( multiply(X_36,add(X_37,add(X_14,X_36))) != add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))
| multiply(X_36,add(X_37,add(X_14,X_36))) = X_36 ),
inference(resolve,[$cnf( $equal(add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14))),X_36) )],[refute_0_240,refute_0_241]) ).
cnf(refute_0_243,plain,
multiply(X_36,add(X_37,add(X_14,X_36))) = X_36,
inference(resolve,[$cnf( $equal(multiply(X_36,add(X_37,add(X_14,X_36))),add(multiply(X_36,X_37),add(X_36,multiply(additive_identity,X_14)))) )],[refute_0_65,refute_0_242]) ).
cnf(refute_0_244,plain,
multiply(multiply(X_145,Z),add(X_147,add(X_145,multiply(X_145,Z)))) = multiply(X_145,Z),
inference(subst,[],[refute_0_243:[bind(X_14,$fot(X_145)),bind(X_36,$fot(multiply(X_145,Z))),bind(X_37,$fot(X_147))]]) ).
cnf(refute_0_245,plain,
multiply(Y,add(Y,Z)) = Y,
inference(subst,[],[refute_0_135:[bind(X_36,$fot(Y)),bind(X_37,$fot(Z))]]) ).
cnf(refute_0_246,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_247,plain,
( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_245,refute_0_246]) ).
cnf(refute_0_248,plain,
add(Y,multiply(Y,Z)) = Y,
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_122,refute_0_247]) ).
cnf(refute_0_249,plain,
add(X_145,multiply(X_145,Z)) = X_145,
inference(subst,[],[refute_0_248:[bind(Y,$fot(X_145))]]) ).
cnf(refute_0_250,plain,
( multiply(multiply(X_145,Z),add(X_147,add(X_145,multiply(X_145,Z)))) != multiply(X_145,Z)
| add(X_145,multiply(X_145,Z)) != X_145
| multiply(multiply(X_145,Z),add(X_147,X_145)) = multiply(X_145,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_145,Z),add(X_147,add(X_145,multiply(X_145,Z)))),multiply(X_145,Z)) ),[0,1,1],$fot(X_145)]]) ).
cnf(refute_0_251,plain,
( multiply(multiply(X_145,Z),add(X_147,add(X_145,multiply(X_145,Z)))) != multiply(X_145,Z)
| multiply(multiply(X_145,Z),add(X_147,X_145)) = multiply(X_145,Z) ),
inference(resolve,[$cnf( $equal(add(X_145,multiply(X_145,Z)),X_145) )],[refute_0_249,refute_0_250]) ).
cnf(refute_0_252,plain,
multiply(multiply(X_145,Z),add(X_147,X_145)) = multiply(X_145,Z),
inference(resolve,[$cnf( $equal(multiply(multiply(X_145,Z),add(X_147,add(X_145,multiply(X_145,Z)))),multiply(X_145,Z)) )],[refute_0_244,refute_0_251]) ).
cnf(refute_0_253,plain,
multiply(multiply(multiply(X,Z),X_157),add(multiply(X,Y),multiply(X,Z))) = multiply(multiply(X,Z),X_157),
inference(subst,[],[refute_0_252:[bind(Z,$fot(X_157)),bind(X_145,$fot(multiply(X,Z))),bind(X_147,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_254,plain,
( multiply(multiply(multiply(X,Z),X_157),add(multiply(X,Y),multiply(X,Z))) != multiply(multiply(X,Z),X_157)
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(multiply(X,Z),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),add(multiply(X,Y),multiply(X,Z))),multiply(multiply(X,Z),X_157)) ),[0,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_255,plain,
( multiply(multiply(multiply(X,Z),X_157),add(multiply(X,Y),multiply(X,Z))) != multiply(multiply(X,Z),X_157)
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(multiply(X,Z),X_157) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_201,refute_0_254]) ).
cnf(refute_0_256,plain,
multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(multiply(X,Z),X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),add(multiply(X,Y),multiply(X,Z))),multiply(multiply(X,Z),X_157)) )],[refute_0_253,refute_0_255]) ).
cnf(refute_0_257,plain,
multiply(multiply(X_158,X_157),add(X_159,X_158)) = multiply(X_158,X_157),
inference(subst,[],[refute_0_252:[bind(Z,$fot(X_157)),bind(X_145,$fot(X_158)),bind(X_147,$fot(X_159))]]) ).
cnf(refute_0_258,plain,
multiply(X_157,X_158) = multiply(X_158,X_157),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_157)),bind(Y,$fot(X_158))]]) ).
cnf(refute_0_259,plain,
( multiply(X_157,X_158) != multiply(X_158,X_157)
| multiply(X_158,X_157) = multiply(X_157,X_158) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_157,X_158))),bind(Y0,$fot(multiply(X_158,X_157)))]]) ).
cnf(refute_0_260,plain,
multiply(X_158,X_157) = multiply(X_157,X_158),
inference(resolve,[$cnf( $equal(multiply(X_157,X_158),multiply(X_158,X_157)) )],[refute_0_258,refute_0_259]) ).
cnf(refute_0_261,plain,
( multiply(X_158,X_157) != multiply(X_157,X_158)
| multiply(multiply(X_158,X_157),add(X_159,X_158)) != multiply(X_158,X_157)
| multiply(multiply(X_157,X_158),add(X_159,X_158)) = multiply(X_158,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_158,X_157),add(X_159,X_158)),multiply(X_158,X_157)) ),[0,0],$fot(multiply(X_157,X_158))]]) ).
cnf(refute_0_262,plain,
( multiply(multiply(X_158,X_157),add(X_159,X_158)) != multiply(X_158,X_157)
| multiply(multiply(X_157,X_158),add(X_159,X_158)) = multiply(X_158,X_157) ),
inference(resolve,[$cnf( $equal(multiply(X_158,X_157),multiply(X_157,X_158)) )],[refute_0_260,refute_0_261]) ).
cnf(refute_0_263,plain,
multiply(multiply(X_157,X_158),add(X_159,X_158)) = multiply(X_158,X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(X_158,X_157),add(X_159,X_158)),multiply(X_158,X_157)) )],[refute_0_257,refute_0_262]) ).
cnf(refute_0_264,plain,
multiply(multiply(multiply(Y,X_159),X_157),add(X_159,multiply(Y,X_159))) = multiply(multiply(Y,X_159),X_157),
inference(subst,[],[refute_0_252:[bind(Z,$fot(X_157)),bind(X_145,$fot(multiply(Y,X_159))),bind(X_147,$fot(X_159))]]) ).
cnf(refute_0_265,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),add(Z,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Z))]]) ).
cnf(refute_0_266,plain,
Z = add(Z,Z),
inference(subst,[],[refute_0_116:[bind(X_19,$fot(Z))]]) ).
cnf(refute_0_267,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_268,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
( add(Z,Z) != Z
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_270,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( $equal(add(Z,Z),Z) )],[refute_0_268,refute_0_269]) ).
cnf(refute_0_271,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) )],[refute_0_265,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(add(Z,Y),Z) = multiply(Z,add(Z,Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(Z)),bind(Y,$fot(add(Z,Y)))]]) ).
cnf(refute_0_273,plain,
( multiply(add(Z,Y),Z) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) ),[1],$fot(multiply(Z,add(Z,Y)))]]) ).
cnf(refute_0_274,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,Y),Z),multiply(Z,add(Z,Y))) )],[refute_0_272,refute_0_273]) ).
cnf(refute_0_275,plain,
add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) )],[refute_0_271,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(Z,add(Z,Y)) = Z,
inference(subst,[],[refute_0_135:[bind(X_36,$fot(Z)),bind(X_37,$fot(Y))]]) ).
cnf(refute_0_277,plain,
( multiply(Z,add(Z,Y)) != Z
| add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) ),[1],$fot(Z)]]) ).
cnf(refute_0_278,plain,
( add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,Y)),Z) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
add(Z,multiply(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) )],[refute_0_275,refute_0_278]) ).
cnf(refute_0_280,plain,
add(X_159,multiply(Y,X_159)) = X_159,
inference(subst,[],[refute_0_279:[bind(Z,$fot(X_159))]]) ).
cnf(refute_0_281,plain,
( multiply(multiply(multiply(Y,X_159),X_157),add(X_159,multiply(Y,X_159))) != multiply(multiply(Y,X_159),X_157)
| add(X_159,multiply(Y,X_159)) != X_159
| multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(multiply(Y,X_159),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),add(X_159,multiply(Y,X_159))),multiply(multiply(Y,X_159),X_157)) ),[0,1],$fot(X_159)]]) ).
cnf(refute_0_282,plain,
( multiply(multiply(multiply(Y,X_159),X_157),add(X_159,multiply(Y,X_159))) != multiply(multiply(Y,X_159),X_157)
| multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(multiply(Y,X_159),X_157) ),
inference(resolve,[$cnf( $equal(add(X_159,multiply(Y,X_159)),X_159) )],[refute_0_280,refute_0_281]) ).
cnf(refute_0_283,plain,
multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(multiply(Y,X_159),X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),add(X_159,multiply(Y,X_159))),multiply(multiply(Y,X_159),X_157)) )],[refute_0_264,refute_0_282]) ).
cnf(refute_0_284,plain,
multiply(X_36,add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(multiply(multiply(X_107,inverse(inverse(X_36))),X_106)))]]) ).
cnf(refute_0_285,plain,
add(X,multiply(multiply(X_20,inverse(X)),Z)) = multiply(add(X,multiply(X_20,inverse(X))),add(X,Z)),
inference(subst,[],[distributivity1:[bind(Y,$fot(multiply(X_20,inverse(X))))]]) ).
cnf(refute_0_286,plain,
add(X,multiply(X_20,inverse(X))) = add(X,X_20),
inference(subst,[],[refute_0_79:[bind(X_10,$fot(X)),bind(X_11,$fot(X_20))]]) ).
cnf(refute_0_287,plain,
( add(X,multiply(X_20,inverse(X))) != add(X,X_20)
| add(X,multiply(multiply(X_20,inverse(X)),Z)) != multiply(add(X,multiply(X_20,inverse(X))),add(X,Z))
| add(X,multiply(multiply(X_20,inverse(X)),Z)) = multiply(add(X,X_20),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_20,inverse(X)),Z)),multiply(add(X,multiply(X_20,inverse(X))),add(X,Z))) ),[1,0],$fot(add(X,X_20))]]) ).
cnf(refute_0_288,plain,
( add(X,multiply(multiply(X_20,inverse(X)),Z)) != multiply(add(X,multiply(X_20,inverse(X))),add(X,Z))
| add(X,multiply(multiply(X_20,inverse(X)),Z)) = multiply(add(X,X_20),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_20,inverse(X))),add(X,X_20)) )],[refute_0_286,refute_0_287]) ).
cnf(refute_0_289,plain,
add(X,multiply(multiply(X_20,inverse(X)),Z)) = multiply(add(X,X_20),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_20,inverse(X)),Z)),multiply(add(X,multiply(X_20,inverse(X))),add(X,Z))) )],[refute_0_285,refute_0_288]) ).
cnf(refute_0_290,plain,
multiply(add(X,X_20),add(X,Z)) = add(X,multiply(X_20,Z)),
inference(subst,[],[refute_0_31:[bind(Y,$fot(X_20))]]) ).
cnf(refute_0_291,plain,
( multiply(add(X,X_20),add(X,Z)) != add(X,multiply(X_20,Z))
| add(X,multiply(multiply(X_20,inverse(X)),Z)) != multiply(add(X,X_20),add(X,Z))
| add(X,multiply(multiply(X_20,inverse(X)),Z)) = add(X,multiply(X_20,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_20,inverse(X)),Z)),multiply(add(X,X_20),add(X,Z))) ),[1],$fot(add(X,multiply(X_20,Z)))]]) ).
cnf(refute_0_292,plain,
( add(X,multiply(multiply(X_20,inverse(X)),Z)) != multiply(add(X,X_20),add(X,Z))
| add(X,multiply(multiply(X_20,inverse(X)),Z)) = add(X,multiply(X_20,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_20),add(X,Z)),add(X,multiply(X_20,Z))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
add(X,multiply(multiply(X_20,inverse(X)),Z)) = add(X,multiply(X_20,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_20,inverse(X)),Z)),multiply(add(X,X_20),add(X,Z))) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) = add(inverse(X_36),multiply(X_107,X_106)),
inference(subst,[],[refute_0_293:[bind(X,$fot(inverse(X_36))),bind(Z,$fot(X_106)),bind(X_20,$fot(X_107))]]) ).
cnf(refute_0_295,plain,
( multiply(X_36,add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) != add(inverse(X_36),multiply(X_107,X_106))
| multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106))),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) ),[0,1],$fot(add(inverse(X_36),multiply(X_107,X_106)))]]) ).
cnf(refute_0_296,plain,
( multiply(X_36,add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),add(inverse(X_36),multiply(X_107,X_106))) )],[refute_0_294,refute_0_295]) ).
cnf(refute_0_297,plain,
multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(multiply(X_107,inverse(inverse(X_36))),X_106))),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) )],[refute_0_284,refute_0_296]) ).
cnf(refute_0_298,plain,
multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) = multiply(X_36,multiply(X_107,X_106)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(multiply(X_107,X_106)))]]) ).
cnf(refute_0_299,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) != multiply(X_36,multiply(X_107,X_106))
| multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) ),[0],$fot(multiply(X_36,multiply(X_107,X_106)))]]) ).
cnf(refute_0_300,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))),multiply(X_36,multiply(X_107,X_106))) )],[refute_0_298,refute_0_299]) ).
cnf(refute_0_301,plain,
add(X_26,multiply(X_27,additive_identity)) = multiply(X_26,add(X_26,X_27)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(X_26)),bind(X_11,$fot(X_27))]]) ).
cnf(refute_0_302,plain,
add(X_27,X_26) = add(X_26,X_27),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_27)),bind(Y,$fot(X_26))]]) ).
cnf(refute_0_303,plain,
( add(X_27,X_26) != add(X_26,X_27)
| add(X_26,X_27) = add(X_27,X_26) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_27,X_26))),bind(Y0,$fot(add(X_26,X_27)))]]) ).
cnf(refute_0_304,plain,
add(X_26,X_27) = add(X_27,X_26),
inference(resolve,[$cnf( $equal(add(X_27,X_26),add(X_26,X_27)) )],[refute_0_302,refute_0_303]) ).
cnf(refute_0_305,plain,
( add(X_26,X_27) != add(X_27,X_26)
| add(X_26,multiply(X_27,additive_identity)) != multiply(X_26,add(X_26,X_27))
| add(X_26,multiply(X_27,additive_identity)) = multiply(X_26,add(X_27,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),multiply(X_26,add(X_26,X_27))) ),[1,1],$fot(add(X_27,X_26))]]) ).
cnf(refute_0_306,plain,
( add(X_26,multiply(X_27,additive_identity)) != multiply(X_26,add(X_26,X_27))
| add(X_26,multiply(X_27,additive_identity)) = multiply(X_26,add(X_27,X_26)) ),
inference(resolve,[$cnf( $equal(add(X_26,X_27),add(X_27,X_26)) )],[refute_0_304,refute_0_305]) ).
cnf(refute_0_307,plain,
add(X_26,multiply(X_27,additive_identity)) = multiply(X_26,add(X_27,X_26)),
inference(resolve,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),multiply(X_26,add(X_26,X_27))) )],[refute_0_301,refute_0_306]) ).
cnf(refute_0_308,plain,
add(X_26,additive_identity) = X_26,
inference(subst,[],[additive_id1:[bind(X,$fot(X_26))]]) ).
cnf(refute_0_309,plain,
add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_11)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(multiply(X_33,additive_identity)))]]) ).
cnf(refute_0_310,plain,
add(multiply(X_27,additive_identity),Y) = add(Y,multiply(X_27,additive_identity)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_27,additive_identity)))]]) ).
cnf(refute_0_311,plain,
add(Y,multiply(X_27,additive_identity)) = multiply(Y,add(Y,X_27)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(Y)),bind(X_11,$fot(X_27))]]) ).
cnf(refute_0_312,plain,
( add(Y,multiply(X_27,additive_identity)) != multiply(Y,add(Y,X_27))
| add(multiply(X_27,additive_identity),Y) != add(Y,multiply(X_27,additive_identity))
| add(multiply(X_27,additive_identity),Y) = multiply(Y,add(Y,X_27)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_27,additive_identity),Y),add(Y,multiply(X_27,additive_identity))) ),[1],$fot(multiply(Y,add(Y,X_27)))]]) ).
cnf(refute_0_313,plain,
( add(multiply(X_27,additive_identity),Y) != add(Y,multiply(X_27,additive_identity))
| add(multiply(X_27,additive_identity),Y) = multiply(Y,add(Y,X_27)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_27,additive_identity)),multiply(Y,add(Y,X_27))) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
add(multiply(X_27,additive_identity),Y) = multiply(Y,add(Y,X_27)),
inference(resolve,[$cnf( $equal(add(multiply(X_27,additive_identity),Y),add(Y,multiply(X_27,additive_identity))) )],[refute_0_310,refute_0_313]) ).
cnf(refute_0_315,plain,
add(multiply(X_33,additive_identity),X_11) = multiply(X_11,add(X_11,X_33)),
inference(subst,[],[refute_0_314:[bind(Y,$fot(X_11)),bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_316,plain,
( add(multiply(X_33,additive_identity),X_11) != multiply(X_11,add(X_11,X_33))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_11))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_11))) ),[1,1],$fot(multiply(X_11,add(X_11,X_33)))]]) ).
cnf(refute_0_317,plain,
( add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_11))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),X_11),multiply(X_11,add(X_11,X_33))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_11))) )],[refute_0_309,refute_0_317]) ).
cnf(refute_0_319,plain,
add(multiply(additive_identity,X_14),Y) = add(Y,multiply(additive_identity,X_14)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_320,plain,
add(Y,multiply(additive_identity,X_14)) = multiply(Y,add(Y,X_14)),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(Y)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_321,plain,
( add(Y,multiply(additive_identity,X_14)) != multiply(Y,add(Y,X_14))
| add(multiply(additive_identity,X_14),Y) != add(Y,multiply(additive_identity,X_14))
| add(multiply(additive_identity,X_14),Y) = multiply(Y,add(Y,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_14),Y),add(Y,multiply(additive_identity,X_14))) ),[1],$fot(multiply(Y,add(Y,X_14)))]]) ).
cnf(refute_0_322,plain,
( add(multiply(additive_identity,X_14),Y) != add(Y,multiply(additive_identity,X_14))
| add(multiply(additive_identity,X_14),Y) = multiply(Y,add(Y,X_14)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_14)),multiply(Y,add(Y,X_14))) )],[refute_0_320,refute_0_321]) ).
cnf(refute_0_323,plain,
add(multiply(additive_identity,X_14),Y) = multiply(Y,add(Y,X_14)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),Y),add(Y,multiply(additive_identity,X_14))) )],[refute_0_319,refute_0_322]) ).
cnf(refute_0_324,plain,
add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) = multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_14)),
inference(subst,[],[refute_0_323:[bind(Y,$fot(multiply(X_33,additive_identity)))]]) ).
cnf(refute_0_325,plain,
add(multiply(X_33,additive_identity),X_14) = multiply(X_14,add(X_14,X_33)),
inference(subst,[],[refute_0_314:[bind(Y,$fot(X_14)),bind(X_27,$fot(X_33))]]) ).
cnf(refute_0_326,plain,
( add(multiply(X_33,additive_identity),X_14) != multiply(X_14,add(X_14,X_33))
| add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_14))
| add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)),multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_14))) ),[1,1],$fot(multiply(X_14,add(X_14,X_33)))]]) ).
cnf(refute_0_327,plain,
( add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_14))
| add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),X_14),multiply(X_14,add(X_14,X_33))) )],[refute_0_325,refute_0_326]) ).
cnf(refute_0_328,plain,
add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) = multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)),multiply(multiply(X_33,additive_identity),add(multiply(X_33,additive_identity),X_14))) )],[refute_0_324,refute_0_327]) ).
cnf(refute_0_329,plain,
add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_11)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(multiply(additive_identity,X_29)))]]) ).
cnf(refute_0_330,plain,
add(multiply(additive_identity,X_29),X_11) = multiply(X_11,add(X_11,X_29)),
inference(subst,[],[refute_0_323:[bind(Y,$fot(X_11)),bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_331,plain,
( add(multiply(additive_identity,X_29),X_11) != multiply(X_11,add(X_11,X_29))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_11))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_11))) ),[1,1],$fot(multiply(X_11,add(X_11,X_29)))]]) ).
cnf(refute_0_332,plain,
( add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_11))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_29),X_11),multiply(X_11,add(X_11,X_29))) )],[refute_0_330,refute_0_331]) ).
cnf(refute_0_333,plain,
add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_11))) )],[refute_0_329,refute_0_332]) ).
cnf(refute_0_334,plain,
add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) = multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_14)),
inference(subst,[],[refute_0_323:[bind(Y,$fot(multiply(additive_identity,X_29)))]]) ).
cnf(refute_0_335,plain,
add(multiply(additive_identity,X_29),X_14) = multiply(X_14,add(X_14,X_29)),
inference(subst,[],[refute_0_323:[bind(Y,$fot(X_14)),bind(X_14,$fot(X_29))]]) ).
cnf(refute_0_336,plain,
( add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) != multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_14))
| add(multiply(additive_identity,X_29),X_14) != multiply(X_14,add(X_14,X_29))
| add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)),multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_14))) ),[1,1],$fot(multiply(X_14,add(X_14,X_29)))]]) ).
cnf(refute_0_337,plain,
( add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) != multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_14))
| add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_29),X_14),multiply(X_14,add(X_14,X_29))) )],[refute_0_335,refute_0_336]) ).
cnf(refute_0_338,plain,
add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)),multiply(multiply(additive_identity,X_29),add(multiply(additive_identity,X_29),X_14))) )],[refute_0_334,refute_0_337]) ).
cnf(refute_0_339,plain,
add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) = multiply(additive_identity,add(X_14,X_29)),
inference(subst,[],[refute_0_201:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_14)),bind(Z,$fot(X_29))]]) ).
cnf(refute_0_340,plain,
( add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) != multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))
| add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) != multiply(additive_identity,add(X_14,X_29))
| multiply(additive_identity,add(X_14,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)),multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))) ),[0],$fot(multiply(additive_identity,add(X_14,X_29)))]]) ).
cnf(refute_0_341,plain,
( add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)) != multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))
| multiply(additive_identity,add(X_14,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)),multiply(additive_identity,add(X_14,X_29))) )],[refute_0_339,refute_0_340]) ).
cnf(refute_0_342,plain,
multiply(additive_identity,add(X_14,X_29)) = multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(additive_identity,X_29)),multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))) )],[refute_0_338,refute_0_341]) ).
cnf(refute_0_343,plain,
( multiply(additive_identity,add(X_14,X_29)) != multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))
| multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) = multiply(additive_identity,add(X_14,X_29)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,add(X_14,X_29)))),bind(Y0,$fot(multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))))]]) ).
cnf(refute_0_344,plain,
multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29))) = multiply(additive_identity,add(X_14,X_29)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_14,X_29)),multiply(multiply(additive_identity,X_29),multiply(X_14,add(X_14,X_29)))) )],[refute_0_342,refute_0_343]) ).
cnf(refute_0_345,plain,
multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))) = multiply(additive_identity,add(X_11,X_29)),
inference(subst,[],[refute_0_344:[bind(X_14,$fot(X_11))]]) ).
cnf(refute_0_346,plain,
( multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))) != multiply(additive_identity,add(X_11,X_29))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29)))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_11,X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29)))) ),[1],$fot(multiply(additive_identity,add(X_11,X_29)))]]) ).
cnf(refute_0_347,plain,
( add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) != multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29)))
| add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_11,X_29)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29))),multiply(additive_identity,add(X_11,X_29))) )],[refute_0_345,refute_0_346]) ).
cnf(refute_0_348,plain,
add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_11,X_29)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_29),multiply(X_11,additive_identity)),multiply(multiply(additive_identity,X_29),multiply(X_11,add(X_11,X_29)))) )],[refute_0_333,refute_0_347]) ).
cnf(refute_0_349,plain,
add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) = multiply(additive_identity,add(X_33,X_14)),
inference(subst,[],[refute_0_348:[bind(X_11,$fot(X_33)),bind(X_29,$fot(X_14))]]) ).
cnf(refute_0_350,plain,
( add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))
| add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(additive_identity,add(X_33,X_14))
| multiply(additive_identity,add(X_33,X_14)) = multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)),multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))) ),[0],$fot(multiply(additive_identity,add(X_33,X_14)))]]) ).
cnf(refute_0_351,plain,
( add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))
| multiply(additive_identity,add(X_33,X_14)) = multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)),multiply(additive_identity,add(X_33,X_14))) )],[refute_0_349,refute_0_350]) ).
cnf(refute_0_352,plain,
add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) = multiply(multiply(X_11,additive_identity),add(X_31,multiply(X_11,additive_identity))),
inference(subst,[],[refute_0_59:[bind(X_13,$fot(multiply(X_11,additive_identity))),bind(X_14,$fot(X_31))]]) ).
cnf(refute_0_353,plain,
add(X_31,multiply(X_11,additive_identity)) = multiply(X_31,add(X_31,X_11)),
inference(subst,[],[refute_0_185:[bind(X_10,$fot(X_31))]]) ).
cnf(refute_0_354,plain,
( add(X_31,multiply(X_11,additive_identity)) != multiply(X_31,add(X_31,X_11))
| add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) != multiply(multiply(X_11,additive_identity),add(X_31,multiply(X_11,additive_identity)))
| add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) = multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)),multiply(multiply(X_11,additive_identity),add(X_31,multiply(X_11,additive_identity)))) ),[1,1],$fot(multiply(X_31,add(X_31,X_11)))]]) ).
cnf(refute_0_355,plain,
( add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) != multiply(multiply(X_11,additive_identity),add(X_31,multiply(X_11,additive_identity)))
| add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) = multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11))) ),
inference(resolve,[$cnf( $equal(add(X_31,multiply(X_11,additive_identity)),multiply(X_31,add(X_31,X_11))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) = multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11))),
inference(resolve,[$cnf( $equal(add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)),multiply(multiply(X_11,additive_identity),add(X_31,multiply(X_11,additive_identity)))) )],[refute_0_352,refute_0_355]) ).
cnf(refute_0_357,plain,
( add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) != multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11)))
| multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11))) = add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)))),bind(Y0,$fot(multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11)))))]]) ).
cnf(refute_0_358,plain,
multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11))) = add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)),
inference(resolve,[$cnf( $equal(add(multiply(X_11,additive_identity),multiply(additive_identity,X_31)),multiply(multiply(X_11,additive_identity),multiply(X_31,add(X_31,X_11)))) )],[refute_0_356,refute_0_357]) ).
cnf(refute_0_359,plain,
multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)),
inference(subst,[],[refute_0_358:[bind(X_11,$fot(X_33)),bind(X_31,$fot(X_14))]]) ).
cnf(refute_0_360,plain,
( multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))) != add(multiply(X_33,additive_identity),multiply(additive_identity,X_14))
| multiply(additive_identity,add(X_33,X_14)) != multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))
| multiply(additive_identity,add(X_33,X_14)) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_33,X_14)),multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))) ),[1],$fot(add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_361,plain,
( multiply(additive_identity,add(X_33,X_14)) != multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))
| multiply(additive_identity,add(X_33,X_14)) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33))),add(multiply(X_33,additive_identity),multiply(additive_identity,X_14))) )],[refute_0_359,refute_0_360]) ).
cnf(refute_0_362,plain,
( add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)) != multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))
| multiply(additive_identity,add(X_33,X_14)) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_33,X_14)),multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))) )],[refute_0_351,refute_0_361]) ).
cnf(refute_0_363,plain,
multiply(additive_identity,add(X_33,X_14)) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_14),multiply(X_33,additive_identity)),multiply(multiply(X_33,additive_identity),multiply(X_14,add(X_14,X_33)))) )],[refute_0_328,refute_0_362]) ).
cnf(refute_0_364,plain,
( multiply(additive_identity,add(X_33,X_14)) != add(multiply(X_33,additive_identity),multiply(additive_identity,X_14))
| add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)) = multiply(additive_identity,add(X_33,X_14)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,add(X_33,X_14)))),bind(Y0,$fot(add(multiply(X_33,additive_identity),multiply(additive_identity,X_14))))]]) ).
cnf(refute_0_365,plain,
add(multiply(X_33,additive_identity),multiply(additive_identity,X_14)) = multiply(additive_identity,add(X_33,X_14)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_33,X_14)),add(multiply(X_33,additive_identity),multiply(additive_identity,X_14))) )],[refute_0_363,refute_0_364]) ).
cnf(refute_0_366,plain,
add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)) = multiply(additive_identity,add(X_33,X_11)),
inference(subst,[],[refute_0_365:[bind(X_14,$fot(X_11))]]) ).
cnf(refute_0_367,plain,
multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) = add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)),
inference(subst,[],[refute_0_358:[bind(X_11,$fot(X_33)),bind(X_31,$fot(X_11))]]) ).
cnf(refute_0_368,plain,
( multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) != add(multiply(X_33,additive_identity),multiply(additive_identity,X_11))
| add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)) != multiply(additive_identity,add(X_33,X_11))
| multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) = multiply(additive_identity,add(X_33,X_11)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))))),bind(Y0,$fot(add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)))),bind(Z0,$fot(multiply(additive_identity,add(X_33,X_11))))]]) ).
cnf(refute_0_369,plain,
( add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)) != multiply(additive_identity,add(X_33,X_11))
| multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) = multiply(additive_identity,add(X_33,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))),add(multiply(X_33,additive_identity),multiply(additive_identity,X_11))) )],[refute_0_367,refute_0_368]) ).
cnf(refute_0_370,plain,
multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) = multiply(additive_identity,add(X_33,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(additive_identity,X_11)),multiply(additive_identity,add(X_33,X_11))) )],[refute_0_366,refute_0_369]) ).
cnf(refute_0_371,plain,
( multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))) != multiply(additive_identity,add(X_33,X_11))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33)))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_33,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33)))) ),[1],$fot(multiply(additive_identity,add(X_33,X_11)))]]) ).
cnf(refute_0_372,plain,
( add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33)))
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_33,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33))),multiply(additive_identity,add(X_33,X_11))) )],[refute_0_370,refute_0_371]) ).
cnf(refute_0_373,plain,
add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(additive_identity,add(X_33,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(multiply(X_33,additive_identity),multiply(X_11,add(X_11,X_33)))) )],[refute_0_318,refute_0_372]) ).
cnf(refute_0_374,plain,
add(X,multiply(Y,multiply(additive_identity,X_14))) = multiply(add(X,Y),add(X,multiply(additive_identity,X_14))),
inference(subst,[],[distributivity1:[bind(Z,$fot(multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_375,plain,
add(X,multiply(additive_identity,X_14)) = multiply(X,add(X,X_14)),
inference(subst,[],[refute_0_52:[bind(X_10,$fot(X)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_376,plain,
( add(X,multiply(Y,multiply(additive_identity,X_14))) != multiply(add(X,Y),add(X,multiply(additive_identity,X_14)))
| add(X,multiply(additive_identity,X_14)) != multiply(X,add(X,X_14))
| add(X,multiply(Y,multiply(additive_identity,X_14))) = multiply(add(X,Y),multiply(X,add(X,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),multiply(add(X,Y),add(X,multiply(additive_identity,X_14)))) ),[1,1],$fot(multiply(X,add(X,X_14)))]]) ).
cnf(refute_0_377,plain,
( add(X,multiply(Y,multiply(additive_identity,X_14))) != multiply(add(X,Y),add(X,multiply(additive_identity,X_14)))
| add(X,multiply(Y,multiply(additive_identity,X_14))) = multiply(add(X,Y),multiply(X,add(X,X_14))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_14)),multiply(X,add(X,X_14))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
add(X,multiply(Y,multiply(additive_identity,X_14))) = multiply(add(X,Y),multiply(X,add(X,X_14))),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),multiply(add(X,Y),add(X,multiply(additive_identity,X_14)))) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
multiply(Y,multiply(additive_identity,X_14)) = multiply(Y,multiply(additive_identity,X_14)),
introduced(tautology,[refl,[$fot(multiply(Y,multiply(additive_identity,X_14)))]]) ).
cnf(refute_0_380,plain,
( multiply(Y,multiply(additive_identity,X_14)) != multiply(Y,multiply(additive_identity,X_14))
| multiply(additive_identity,X_14) != additive_identity
| multiply(Y,multiply(additive_identity,X_14)) = multiply(Y,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_14)),multiply(Y,multiply(additive_identity,X_14))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_381,plain,
( multiply(additive_identity,X_14) != additive_identity
| multiply(Y,multiply(additive_identity,X_14)) = multiply(Y,additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_14)),multiply(Y,multiply(additive_identity,X_14))) )],[refute_0_379,refute_0_380]) ).
cnf(refute_0_382,plain,
multiply(Y,multiply(additive_identity,X_14)) = multiply(Y,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_14),additive_identity) )],[refute_0_226,refute_0_381]) ).
cnf(refute_0_383,plain,
add(X,multiply(Y,multiply(additive_identity,X_14))) = add(X,multiply(Y,multiply(additive_identity,X_14))),
introduced(tautology,[refl,[$fot(add(X,multiply(Y,multiply(additive_identity,X_14))))]]) ).
cnf(refute_0_384,plain,
( multiply(Y,multiply(additive_identity,X_14)) != multiply(Y,additive_identity)
| add(X,multiply(Y,multiply(additive_identity,X_14))) != add(X,multiply(Y,multiply(additive_identity,X_14)))
| add(X,multiply(Y,multiply(additive_identity,X_14))) = add(X,multiply(Y,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),add(X,multiply(Y,multiply(additive_identity,X_14)))) ),[1,1],$fot(multiply(Y,additive_identity))]]) ).
cnf(refute_0_385,plain,
( multiply(Y,multiply(additive_identity,X_14)) != multiply(Y,additive_identity)
| add(X,multiply(Y,multiply(additive_identity,X_14))) = add(X,multiply(Y,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),add(X,multiply(Y,multiply(additive_identity,X_14)))) )],[refute_0_383,refute_0_384]) ).
cnf(refute_0_386,plain,
add(X,multiply(Y,multiply(additive_identity,X_14))) = add(X,multiply(Y,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(additive_identity,X_14)),multiply(Y,additive_identity)) )],[refute_0_382,refute_0_385]) ).
cnf(refute_0_387,plain,
( add(X,multiply(Y,multiply(additive_identity,X_14))) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| add(X,multiply(Y,multiply(additive_identity,X_14))) != add(X,multiply(Y,additive_identity))
| add(X,multiply(Y,additive_identity)) = multiply(add(X,Y),multiply(X,add(X,X_14))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),multiply(add(X,Y),multiply(X,add(X,X_14)))) ),[0],$fot(add(X,multiply(Y,additive_identity)))]]) ).
cnf(refute_0_388,plain,
( add(X,multiply(Y,multiply(additive_identity,X_14))) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| add(X,multiply(Y,additive_identity)) = multiply(add(X,Y),multiply(X,add(X,X_14))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),add(X,multiply(Y,additive_identity))) )],[refute_0_386,refute_0_387]) ).
cnf(refute_0_389,plain,
multiply(X,add(X,Y)) = X,
inference(subst,[],[refute_0_135:[bind(X_36,$fot(X)),bind(X_37,$fot(Y))]]) ).
cnf(refute_0_390,plain,
multiply(add(X,Y),X) = multiply(X,add(X,Y)),
inference(subst,[],[refute_0_4:[bind(Y,$fot(add(X,Y)))]]) ).
cnf(refute_0_391,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_101:[bind(X0,$fot(multiply(add(X,Y),X))),bind(Y0,$fot(multiply(X,add(X,Y)))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_392,plain,
( multiply(X,add(X,Y)) != X
| multiply(add(X,Y),X) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),X),multiply(X,add(X,Y))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
multiply(add(X,Y),X) = X,
inference(resolve,[$cnf( $equal(multiply(X,add(X,Y)),X) )],[refute_0_389,refute_0_392]) ).
cnf(refute_0_394,plain,
multiply(X,add(X,X_14)) = X,
inference(subst,[],[refute_0_135:[bind(X_36,$fot(X)),bind(X_37,$fot(X_14))]]) ).
cnf(refute_0_395,plain,
multiply(add(X,Y),multiply(X,add(X,X_14))) = multiply(add(X,Y),multiply(X,add(X,X_14))),
introduced(tautology,[refl,[$fot(multiply(add(X,Y),multiply(X,add(X,X_14))))]]) ).
cnf(refute_0_396,plain,
( multiply(X,add(X,X_14)) != X
| multiply(add(X,Y),multiply(X,add(X,X_14))) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| multiply(add(X,Y),multiply(X,add(X,X_14))) = multiply(add(X,Y),X) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_14))),multiply(add(X,Y),multiply(X,add(X,X_14)))) ),[1,1],$fot(X)]]) ).
cnf(refute_0_397,plain,
( multiply(X,add(X,X_14)) != X
| multiply(add(X,Y),multiply(X,add(X,X_14))) = multiply(add(X,Y),X) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_14))),multiply(add(X,Y),multiply(X,add(X,X_14)))) )],[refute_0_395,refute_0_396]) ).
cnf(refute_0_398,plain,
multiply(add(X,Y),multiply(X,add(X,X_14))) = multiply(add(X,Y),X),
inference(resolve,[$cnf( $equal(multiply(X,add(X,X_14)),X) )],[refute_0_394,refute_0_397]) ).
cnf(refute_0_399,plain,
( multiply(add(X,Y),X) != X
| multiply(add(X,Y),multiply(X,add(X,X_14))) != multiply(add(X,Y),X)
| multiply(add(X,Y),multiply(X,add(X,X_14))) = X ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(add(X,Y),multiply(X,add(X,X_14))))),bind(Y0,$fot(multiply(add(X,Y),X))),bind(Z0,$fot(X))]]) ).
cnf(refute_0_400,plain,
( multiply(add(X,Y),X) != X
| multiply(add(X,Y),multiply(X,add(X,X_14))) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_14))),multiply(add(X,Y),X)) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
multiply(add(X,Y),multiply(X,add(X,X_14))) = X,
inference(resolve,[$cnf( $equal(multiply(add(X,Y),X),X) )],[refute_0_393,refute_0_400]) ).
cnf(refute_0_402,plain,
( multiply(add(X,Y),multiply(X,add(X,X_14))) != X
| add(X,multiply(Y,additive_identity)) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| add(X,multiply(Y,additive_identity)) = X ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,additive_identity)),multiply(add(X,Y),multiply(X,add(X,X_14)))) ),[1],$fot(X)]]) ).
cnf(refute_0_403,plain,
( add(X,multiply(Y,additive_identity)) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| add(X,multiply(Y,additive_identity)) = X ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),multiply(X,add(X,X_14))),X) )],[refute_0_401,refute_0_402]) ).
cnf(refute_0_404,plain,
( add(X,multiply(Y,multiply(additive_identity,X_14))) != multiply(add(X,Y),multiply(X,add(X,X_14)))
| add(X,multiply(Y,additive_identity)) = X ),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,additive_identity)),multiply(add(X,Y),multiply(X,add(X,X_14)))) )],[refute_0_388,refute_0_403]) ).
cnf(refute_0_405,plain,
add(X,multiply(Y,additive_identity)) = X,
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(additive_identity,X_14))),multiply(add(X,Y),multiply(X,add(X,X_14)))) )],[refute_0_378,refute_0_404]) ).
cnf(refute_0_406,plain,
add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) = multiply(X_33,additive_identity),
inference(subst,[],[refute_0_405:[bind(X,$fot(multiply(X_33,additive_identity))),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_407,plain,
( add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(X_33,additive_identity)
| add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,add(X_33,X_11))
| multiply(X_33,additive_identity) = multiply(additive_identity,add(X_33,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,add(X_33,X_11))) ),[0],$fot(multiply(X_33,additive_identity))]]) ).
cnf(refute_0_408,plain,
( add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,add(X_33,X_11))
| multiply(X_33,additive_identity) = multiply(additive_identity,add(X_33,X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(X_33,additive_identity)) )],[refute_0_406,refute_0_407]) ).
cnf(refute_0_409,plain,
multiply(additive_identity,add(X_33,X_11)) = additive_identity,
inference(subst,[],[refute_0_225:[bind(X_38,$fot(add(X_33,X_11)))]]) ).
cnf(refute_0_410,plain,
( multiply(X_33,additive_identity) != multiply(additive_identity,add(X_33,X_11))
| multiply(additive_identity,add(X_33,X_11)) != additive_identity
| multiply(X_33,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_33,additive_identity),additive_identity) ),[0],$fot(multiply(additive_identity,add(X_33,X_11)))]]) ).
cnf(refute_0_411,plain,
( multiply(X_33,additive_identity) != multiply(additive_identity,add(X_33,X_11))
| multiply(X_33,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_33,X_11)),additive_identity) )],[refute_0_409,refute_0_410]) ).
cnf(refute_0_412,plain,
( add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)) != multiply(additive_identity,add(X_33,X_11))
| multiply(X_33,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_33,additive_identity),multiply(additive_identity,add(X_33,X_11))) )],[refute_0_408,refute_0_411]) ).
cnf(refute_0_413,plain,
multiply(X_33,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(add(multiply(X_33,additive_identity),multiply(X_11,additive_identity)),multiply(additive_identity,add(X_33,X_11))) )],[refute_0_373,refute_0_412]) ).
cnf(refute_0_414,plain,
multiply(X_27,additive_identity) = additive_identity,
inference(subst,[],[refute_0_413:[bind(X_33,$fot(X_27))]]) ).
cnf(refute_0_415,plain,
add(X_26,multiply(X_27,additive_identity)) = add(X_26,multiply(X_27,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_26,multiply(X_27,additive_identity)))]]) ).
cnf(refute_0_416,plain,
( multiply(X_27,additive_identity) != additive_identity
| add(X_26,multiply(X_27,additive_identity)) != add(X_26,multiply(X_27,additive_identity))
| add(X_26,multiply(X_27,additive_identity)) = add(X_26,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),add(X_26,multiply(X_27,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_417,plain,
( multiply(X_27,additive_identity) != additive_identity
| add(X_26,multiply(X_27,additive_identity)) = add(X_26,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),add(X_26,multiply(X_27,additive_identity))) )],[refute_0_415,refute_0_416]) ).
cnf(refute_0_418,plain,
add(X_26,multiply(X_27,additive_identity)) = add(X_26,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_27,additive_identity),additive_identity) )],[refute_0_414,refute_0_417]) ).
cnf(refute_0_419,plain,
( add(X_26,multiply(X_27,additive_identity)) != add(X_26,additive_identity)
| add(X_26,additive_identity) != X_26
| add(X_26,multiply(X_27,additive_identity)) = X_26 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(add(X_26,multiply(X_27,additive_identity)))),bind(Y0,$fot(add(X_26,additive_identity))),bind(Z0,$fot(X_26))]]) ).
cnf(refute_0_420,plain,
( add(X_26,additive_identity) != X_26
| add(X_26,multiply(X_27,additive_identity)) = X_26 ),
inference(resolve,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),add(X_26,additive_identity)) )],[refute_0_418,refute_0_419]) ).
cnf(refute_0_421,plain,
add(X_26,multiply(X_27,additive_identity)) = X_26,
inference(resolve,[$cnf( $equal(add(X_26,additive_identity),X_26) )],[refute_0_308,refute_0_420]) ).
cnf(refute_0_422,plain,
( add(X_26,multiply(X_27,additive_identity)) != X_26
| add(X_26,multiply(X_27,additive_identity)) != multiply(X_26,add(X_27,X_26))
| X_26 = multiply(X_26,add(X_27,X_26)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),multiply(X_26,add(X_27,X_26))) ),[0],$fot(X_26)]]) ).
cnf(refute_0_423,plain,
( add(X_26,multiply(X_27,additive_identity)) != multiply(X_26,add(X_27,X_26))
| X_26 = multiply(X_26,add(X_27,X_26)) ),
inference(resolve,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),X_26) )],[refute_0_421,refute_0_422]) ).
cnf(refute_0_424,plain,
X_26 = multiply(X_26,add(X_27,X_26)),
inference(resolve,[$cnf( $equal(add(X_26,multiply(X_27,additive_identity)),multiply(X_26,add(X_27,X_26))) )],[refute_0_307,refute_0_423]) ).
cnf(refute_0_425,plain,
inverse(inverse(X_27)) = multiply(inverse(inverse(X_27)),add(X_27,inverse(inverse(X_27)))),
inference(subst,[],[refute_0_424:[bind(X_26,$fot(inverse(inverse(X_27))))]]) ).
cnf(refute_0_426,plain,
add(X_10,multiply(inverse(X_10),X_12)) = multiply(add(X_10,inverse(X_10)),add(X_10,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(inverse(X_10))),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_427,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(add(X_10,inverse(X_10)),add(X_10,X_12))
| add(X_10,inverse(X_10)) != multiplicative_identity
| add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(add(X_10,inverse(X_10)),add(X_10,X_12))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_428,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(add(X_10,inverse(X_10)),add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_72,refute_0_427]) ).
cnf(refute_0_429,plain,
add(X_10,multiply(inverse(X_10),X_12)) = multiply(multiplicative_identity,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(add(X_10,inverse(X_10)),add(X_10,X_12))) )],[refute_0_426,refute_0_428]) ).
cnf(refute_0_430,plain,
multiply(multiplicative_identity,add(X_10,X_12)) = add(X_10,X_12),
inference(subst,[],[refute_0_84:[bind(X,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_431,plain,
( multiply(multiplicative_identity,add(X_10,X_12)) != add(X_10,X_12)
| add(X_10,multiply(inverse(X_10),X_12)) != multiply(multiplicative_identity,add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(multiplicative_identity,add(X_10,X_12))) ),[1],$fot(add(X_10,X_12))]]) ).
cnf(refute_0_432,plain,
( add(X_10,multiply(inverse(X_10),X_12)) != multiply(multiplicative_identity,add(X_10,X_12))
| add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,X_12)),add(X_10,X_12)) )],[refute_0_430,refute_0_431]) ).
cnf(refute_0_433,plain,
add(X_10,multiply(inverse(X_10),X_12)) = add(X_10,X_12),
inference(resolve,[$cnf( $equal(add(X_10,multiply(inverse(X_10),X_12)),multiply(multiplicative_identity,add(X_10,X_12))) )],[refute_0_429,refute_0_432]) ).
cnf(refute_0_434,plain,
add(X_49,multiply(inverse(X_49),inverse(inverse(X_49)))) = add(X_49,inverse(inverse(X_49))),
inference(subst,[],[refute_0_433:[bind(X_10,$fot(X_49)),bind(X_12,$fot(inverse(inverse(X_49))))]]) ).
cnf(refute_0_435,plain,
multiply(inverse(X_49),inverse(inverse(X_49))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(inverse(X_49)))]]) ).
cnf(refute_0_436,plain,
( multiply(inverse(X_49),inverse(inverse(X_49))) != additive_identity
| add(X_49,multiply(inverse(X_49),inverse(inverse(X_49)))) != add(X_49,inverse(inverse(X_49)))
| add(X_49,additive_identity) = add(X_49,inverse(inverse(X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_49,multiply(inverse(X_49),inverse(inverse(X_49)))),add(X_49,inverse(inverse(X_49)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_437,plain,
( add(X_49,multiply(inverse(X_49),inverse(inverse(X_49)))) != add(X_49,inverse(inverse(X_49)))
| add(X_49,additive_identity) = add(X_49,inverse(inverse(X_49))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_49),inverse(inverse(X_49))),additive_identity) )],[refute_0_435,refute_0_436]) ).
cnf(refute_0_438,plain,
add(X_49,additive_identity) = add(X_49,inverse(inverse(X_49))),
inference(resolve,[$cnf( $equal(add(X_49,multiply(inverse(X_49),inverse(inverse(X_49)))),add(X_49,inverse(inverse(X_49)))) )],[refute_0_434,refute_0_437]) ).
cnf(refute_0_439,plain,
add(X_49,additive_identity) = X_49,
inference(subst,[],[additive_id1:[bind(X,$fot(X_49))]]) ).
cnf(refute_0_440,plain,
( add(X_49,additive_identity) != X_49
| add(X_49,additive_identity) != add(X_49,inverse(inverse(X_49)))
| X_49 = add(X_49,inverse(inverse(X_49))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_49,additive_identity),add(X_49,inverse(inverse(X_49)))) ),[0],$fot(X_49)]]) ).
cnf(refute_0_441,plain,
( add(X_49,additive_identity) != add(X_49,inverse(inverse(X_49)))
| X_49 = add(X_49,inverse(inverse(X_49))) ),
inference(resolve,[$cnf( $equal(add(X_49,additive_identity),X_49) )],[refute_0_439,refute_0_440]) ).
cnf(refute_0_442,plain,
X_49 = add(X_49,inverse(inverse(X_49))),
inference(resolve,[$cnf( $equal(add(X_49,additive_identity),add(X_49,inverse(inverse(X_49)))) )],[refute_0_438,refute_0_441]) ).
cnf(refute_0_443,plain,
X_27 = add(X_27,inverse(inverse(X_27))),
inference(subst,[],[refute_0_442:[bind(X_49,$fot(X_27))]]) ).
cnf(refute_0_444,plain,
( X_27 != add(X_27,inverse(inverse(X_27)))
| add(X_27,inverse(inverse(X_27))) = X_27 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_27)),bind(Y0,$fot(add(X_27,inverse(inverse(X_27)))))]]) ).
cnf(refute_0_445,plain,
add(X_27,inverse(inverse(X_27))) = X_27,
inference(resolve,[$cnf( $equal(X_27,add(X_27,inverse(inverse(X_27)))) )],[refute_0_443,refute_0_444]) ).
cnf(refute_0_446,plain,
( add(X_27,inverse(inverse(X_27))) != X_27
| inverse(inverse(X_27)) != multiply(inverse(inverse(X_27)),add(X_27,inverse(inverse(X_27))))
| inverse(inverse(X_27)) = multiply(inverse(inverse(X_27)),X_27) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_27)),multiply(inverse(inverse(X_27)),add(X_27,inverse(inverse(X_27))))) ),[1,1],$fot(X_27)]]) ).
cnf(refute_0_447,plain,
( inverse(inverse(X_27)) != multiply(inverse(inverse(X_27)),add(X_27,inverse(inverse(X_27))))
| inverse(inverse(X_27)) = multiply(inverse(inverse(X_27)),X_27) ),
inference(resolve,[$cnf( $equal(add(X_27,inverse(inverse(X_27))),X_27) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
inverse(inverse(X_27)) = multiply(inverse(inverse(X_27)),X_27),
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),multiply(inverse(inverse(X_27)),add(X_27,inverse(inverse(X_27))))) )],[refute_0_425,refute_0_447]) ).
cnf(refute_0_449,plain,
multiply(X_44,add(inverse(X_44),inverse(inverse(X_44)))) = multiply(X_44,inverse(inverse(X_44))),
inference(subst,[],[refute_0_21:[bind(X_36,$fot(X_44)),bind(X_38,$fot(inverse(inverse(X_44))))]]) ).
cnf(refute_0_450,plain,
add(inverse(X_44),inverse(inverse(X_44))) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(inverse(X_44)))]]) ).
cnf(refute_0_451,plain,
( multiply(X_44,add(inverse(X_44),inverse(inverse(X_44)))) != multiply(X_44,inverse(inverse(X_44)))
| add(inverse(X_44),inverse(inverse(X_44))) != multiplicative_identity
| multiply(X_44,multiplicative_identity) = multiply(X_44,inverse(inverse(X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_44,add(inverse(X_44),inverse(inverse(X_44)))),multiply(X_44,inverse(inverse(X_44)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_452,plain,
( multiply(X_44,add(inverse(X_44),inverse(inverse(X_44)))) != multiply(X_44,inverse(inverse(X_44)))
| multiply(X_44,multiplicative_identity) = multiply(X_44,inverse(inverse(X_44))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_44),inverse(inverse(X_44))),multiplicative_identity) )],[refute_0_450,refute_0_451]) ).
cnf(refute_0_453,plain,
multiply(X_44,multiplicative_identity) = multiply(X_44,inverse(inverse(X_44))),
inference(resolve,[$cnf( $equal(multiply(X_44,add(inverse(X_44),inverse(inverse(X_44)))),multiply(X_44,inverse(inverse(X_44)))) )],[refute_0_449,refute_0_452]) ).
cnf(refute_0_454,plain,
multiply(X_44,multiplicative_identity) = X_44,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_44))]]) ).
cnf(refute_0_455,plain,
( multiply(X_44,multiplicative_identity) != X_44
| multiply(X_44,multiplicative_identity) != multiply(X_44,inverse(inverse(X_44)))
| X_44 = multiply(X_44,inverse(inverse(X_44))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_44,multiplicative_identity),multiply(X_44,inverse(inverse(X_44)))) ),[0],$fot(X_44)]]) ).
cnf(refute_0_456,plain,
( multiply(X_44,multiplicative_identity) != multiply(X_44,inverse(inverse(X_44)))
| X_44 = multiply(X_44,inverse(inverse(X_44))) ),
inference(resolve,[$cnf( $equal(multiply(X_44,multiplicative_identity),X_44) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
X_44 = multiply(X_44,inverse(inverse(X_44))),
inference(resolve,[$cnf( $equal(multiply(X_44,multiplicative_identity),multiply(X_44,inverse(inverse(X_44)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
( X_44 != multiply(X_44,inverse(inverse(X_44)))
| multiply(X_44,inverse(inverse(X_44))) = X_44 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_44)),bind(Y0,$fot(multiply(X_44,inverse(inverse(X_44)))))]]) ).
cnf(refute_0_459,plain,
multiply(X_44,inverse(inverse(X_44))) = X_44,
inference(resolve,[$cnf( $equal(X_44,multiply(X_44,inverse(inverse(X_44)))) )],[refute_0_457,refute_0_458]) ).
cnf(refute_0_460,plain,
multiply(X_27,inverse(inverse(X_27))) = X_27,
inference(subst,[],[refute_0_459:[bind(X_44,$fot(X_27))]]) ).
cnf(refute_0_461,plain,
multiply(inverse(inverse(X_27)),X_27) = multiply(X_27,inverse(inverse(X_27))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_27)),bind(Y,$fot(inverse(inverse(X_27))))]]) ).
cnf(refute_0_462,plain,
( multiply(X_27,inverse(inverse(X_27))) != X_27
| multiply(inverse(inverse(X_27)),X_27) != multiply(X_27,inverse(inverse(X_27)))
| multiply(inverse(inverse(X_27)),X_27) = X_27 ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(inverse(inverse(X_27)),X_27))),bind(Y0,$fot(multiply(X_27,inverse(inverse(X_27))))),bind(Z0,$fot(X_27))]]) ).
cnf(refute_0_463,plain,
( multiply(X_27,inverse(inverse(X_27))) != X_27
| multiply(inverse(inverse(X_27)),X_27) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_27)),X_27),multiply(X_27,inverse(inverse(X_27)))) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
multiply(inverse(inverse(X_27)),X_27) = X_27,
inference(resolve,[$cnf( $equal(multiply(X_27,inverse(inverse(X_27))),X_27) )],[refute_0_460,refute_0_463]) ).
cnf(refute_0_465,plain,
( multiply(inverse(inverse(X_27)),X_27) != X_27
| inverse(inverse(X_27)) != multiply(inverse(inverse(X_27)),X_27)
| inverse(inverse(X_27)) = X_27 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_27)),multiply(inverse(inverse(X_27)),X_27)) ),[1],$fot(X_27)]]) ).
cnf(refute_0_466,plain,
( inverse(inverse(X_27)) != multiply(inverse(inverse(X_27)),X_27)
| inverse(inverse(X_27)) = X_27 ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_27)),X_27),X_27) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
inverse(inverse(X_27)) = X_27,
inference(resolve,[$cnf( $equal(inverse(inverse(X_27)),multiply(inverse(inverse(X_27)),X_27)) )],[refute_0_448,refute_0_466]) ).
cnf(refute_0_468,plain,
inverse(inverse(X_36)) = X_36,
inference(subst,[],[refute_0_467:[bind(X_27,$fot(X_36))]]) ).
cnf(refute_0_469,plain,
multiply(X_107,inverse(inverse(X_36))) = multiply(X_107,inverse(inverse(X_36))),
introduced(tautology,[refl,[$fot(multiply(X_107,inverse(inverse(X_36))))]]) ).
cnf(refute_0_470,plain,
( multiply(X_107,inverse(inverse(X_36))) != multiply(X_107,inverse(inverse(X_36)))
| inverse(inverse(X_36)) != X_36
| multiply(X_107,inverse(inverse(X_36))) = multiply(X_107,X_36) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_107,inverse(inverse(X_36))),multiply(X_107,inverse(inverse(X_36)))) ),[1,1],$fot(X_36)]]) ).
cnf(refute_0_471,plain,
( inverse(inverse(X_36)) != X_36
| multiply(X_107,inverse(inverse(X_36))) = multiply(X_107,X_36) ),
inference(resolve,[$cnf( $equal(multiply(X_107,inverse(inverse(X_36))),multiply(X_107,inverse(inverse(X_36)))) )],[refute_0_469,refute_0_470]) ).
cnf(refute_0_472,plain,
multiply(X_107,inverse(inverse(X_36))) = multiply(X_107,X_36),
inference(resolve,[$cnf( $equal(inverse(inverse(X_36)),X_36) )],[refute_0_468,refute_0_471]) ).
cnf(refute_0_473,plain,
multiply(multiply(X_107,inverse(inverse(X_36))),X_106) = multiply(multiply(X_107,inverse(inverse(X_36))),X_106),
introduced(tautology,[refl,[$fot(multiply(multiply(X_107,inverse(inverse(X_36))),X_106))]]) ).
cnf(refute_0_474,plain,
( multiply(X_107,inverse(inverse(X_36))) != multiply(X_107,X_36)
| multiply(multiply(X_107,inverse(inverse(X_36))),X_106) != multiply(multiply(X_107,inverse(inverse(X_36))),X_106)
| multiply(multiply(X_107,inverse(inverse(X_36))),X_106) = multiply(multiply(X_107,X_36),X_106) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_107,inverse(inverse(X_36))),X_106),multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) ),[1,0],$fot(multiply(X_107,X_36))]]) ).
cnf(refute_0_475,plain,
( multiply(X_107,inverse(inverse(X_36))) != multiply(X_107,X_36)
| multiply(multiply(X_107,inverse(inverse(X_36))),X_106) = multiply(multiply(X_107,X_36),X_106) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_107,inverse(inverse(X_36))),X_106),multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) )],[refute_0_473,refute_0_474]) ).
cnf(refute_0_476,plain,
multiply(multiply(X_107,inverse(inverse(X_36))),X_106) = multiply(multiply(X_107,X_36),X_106),
inference(resolve,[$cnf( $equal(multiply(X_107,inverse(inverse(X_36))),multiply(X_107,X_36)) )],[refute_0_472,refute_0_475]) ).
cnf(refute_0_477,plain,
multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) = multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),
introduced(tautology,[refl,[$fot(multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)))]]) ).
cnf(refute_0_478,plain,
( multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(multiply(X_107,inverse(inverse(X_36))),X_106) != multiply(multiply(X_107,X_36),X_106)
| multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) ),[1,1],$fot(multiply(multiply(X_107,X_36),X_106))]]) ).
cnf(refute_0_479,plain,
( multiply(multiply(X_107,inverse(inverse(X_36))),X_106) != multiply(multiply(X_107,X_36),X_106)
| multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_107,inverse(inverse(X_36))),X_106),multiply(multiply(X_107,X_36),X_106)) )],[refute_0_476,refute_0_479]) ).
cnf(refute_0_481,plain,
( multiply(X_36,multiply(X_107,X_106)) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)) != multiply(X_36,multiply(multiply(X_107,X_36),X_106))
| multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,multiply(X_107,X_106)),multiply(X_36,multiply(multiply(X_107,X_36),X_106))) ),[0],$fot(multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)))]]) ).
cnf(refute_0_482,plain,
( multiply(X_36,multiply(X_107,X_106)) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106)),multiply(X_36,multiply(multiply(X_107,X_36),X_106))) )],[refute_0_480,refute_0_481]) ).
cnf(refute_0_483,plain,
( multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))) != multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))
| multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(X_107,X_106)),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) )],[refute_0_300,refute_0_482]) ).
cnf(refute_0_484,plain,
multiply(X_36,multiply(X_107,X_106)) = multiply(X_36,multiply(multiply(X_107,X_36),X_106)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(X_107,X_106))),multiply(X_36,multiply(multiply(X_107,inverse(inverse(X_36))),X_106))) )],[refute_0_297,refute_0_483]) ).
cnf(refute_0_485,plain,
( multiply(X_36,multiply(X_107,X_106)) != multiply(X_36,multiply(multiply(X_107,X_36),X_106))
| multiply(X_36,multiply(multiply(X_107,X_36),X_106)) = multiply(X_36,multiply(X_107,X_106)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_36,multiply(X_107,X_106)))),bind(Y0,$fot(multiply(X_36,multiply(multiply(X_107,X_36),X_106))))]]) ).
cnf(refute_0_486,plain,
multiply(X_36,multiply(multiply(X_107,X_36),X_106)) = multiply(X_36,multiply(X_107,X_106)),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(X_107,X_106)),multiply(X_36,multiply(multiply(X_107,X_36),X_106))) )],[refute_0_484,refute_0_485]) ).
cnf(refute_0_487,plain,
multiply(X_159,multiply(multiply(Y,X_159),X_157)) = multiply(X_159,multiply(Y,X_157)),
inference(subst,[],[refute_0_486:[bind(X_106,$fot(X_157)),bind(X_107,$fot(Y)),bind(X_36,$fot(X_159))]]) ).
cnf(refute_0_488,plain,
multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(X_159,multiply(multiply(Y,X_159),X_157)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_159)),bind(Y,$fot(multiply(multiply(Y,X_159),X_157)))]]) ).
cnf(refute_0_489,plain,
( multiply(X_159,multiply(multiply(Y,X_159),X_157)) != multiply(X_159,multiply(Y,X_157))
| multiply(multiply(multiply(Y,X_159),X_157),X_159) != multiply(X_159,multiply(multiply(Y,X_159),X_157))
| multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(X_159,multiply(Y,X_157)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(multiply(Y,X_159),X_157),X_159))),bind(Y0,$fot(multiply(X_159,multiply(multiply(Y,X_159),X_157)))),bind(Z0,$fot(multiply(X_159,multiply(Y,X_157))))]]) ).
cnf(refute_0_490,plain,
( multiply(X_159,multiply(multiply(Y,X_159),X_157)) != multiply(X_159,multiply(Y,X_157))
| multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(X_159,multiply(Y,X_157)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),X_159),multiply(X_159,multiply(multiply(Y,X_159),X_157))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
multiply(multiply(multiply(Y,X_159),X_157),X_159) = multiply(X_159,multiply(Y,X_157)),
inference(resolve,[$cnf( $equal(multiply(X_159,multiply(multiply(Y,X_159),X_157)),multiply(X_159,multiply(Y,X_157))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
( multiply(multiply(multiply(Y,X_159),X_157),X_159) != multiply(X_159,multiply(Y,X_157))
| multiply(multiply(multiply(Y,X_159),X_157),X_159) != multiply(multiply(Y,X_159),X_157)
| multiply(X_159,multiply(Y,X_157)) = multiply(multiply(Y,X_159),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),X_159),multiply(multiply(Y,X_159),X_157)) ),[0],$fot(multiply(X_159,multiply(Y,X_157)))]]) ).
cnf(refute_0_493,plain,
( multiply(multiply(multiply(Y,X_159),X_157),X_159) != multiply(multiply(Y,X_159),X_157)
| multiply(X_159,multiply(Y,X_157)) = multiply(multiply(Y,X_159),X_157) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),X_159),multiply(X_159,multiply(Y,X_157))) )],[refute_0_491,refute_0_492]) ).
cnf(refute_0_494,plain,
multiply(X_159,multiply(Y,X_157)) = multiply(multiply(Y,X_159),X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(Y,X_159),X_157),X_159),multiply(multiply(Y,X_159),X_157)) )],[refute_0_283,refute_0_493]) ).
cnf(refute_0_495,plain,
( multiply(X_159,multiply(Y,X_157)) != multiply(multiply(Y,X_159),X_157)
| multiply(multiply(Y,X_159),X_157) = multiply(X_159,multiply(Y,X_157)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_159,multiply(Y,X_157)))),bind(Y0,$fot(multiply(multiply(Y,X_159),X_157)))]]) ).
cnf(refute_0_496,plain,
multiply(multiply(Y,X_159),X_157) = multiply(X_159,multiply(Y,X_157)),
inference(resolve,[$cnf( $equal(multiply(X_159,multiply(Y,X_157)),multiply(multiply(Y,X_159),X_157)) )],[refute_0_494,refute_0_495]) ).
cnf(refute_0_497,plain,
multiply(multiply(X_157,X_158),add(X_159,X_158)) = multiply(X_158,multiply(X_157,add(X_159,X_158))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_157)),bind(X_157,$fot(add(X_159,X_158))),bind(X_159,$fot(X_158))]]) ).
cnf(refute_0_498,plain,
( multiply(multiply(X_157,X_158),add(X_159,X_158)) != multiply(X_158,X_157)
| multiply(multiply(X_157,X_158),add(X_159,X_158)) != multiply(X_158,multiply(X_157,add(X_159,X_158)))
| multiply(X_158,multiply(X_157,add(X_159,X_158))) = multiply(X_158,X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_157,X_158),add(X_159,X_158)),multiply(X_158,X_157)) ),[0],$fot(multiply(X_158,multiply(X_157,add(X_159,X_158))))]]) ).
cnf(refute_0_499,plain,
( multiply(multiply(X_157,X_158),add(X_159,X_158)) != multiply(X_158,X_157)
| multiply(X_158,multiply(X_157,add(X_159,X_158))) = multiply(X_158,X_157) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_157,X_158),add(X_159,X_158)),multiply(X_158,multiply(X_157,add(X_159,X_158)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
multiply(X_158,multiply(X_157,add(X_159,X_158))) = multiply(X_158,X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(X_157,X_158),add(X_159,X_158)),multiply(X_158,X_157)) )],[refute_0_263,refute_0_499]) ).
cnf(refute_0_501,plain,
multiply(Z,multiply(X,add(Y,Z))) = multiply(Z,X),
inference(subst,[],[refute_0_500:[bind(X_157,$fot(X)),bind(X_158,$fot(Z)),bind(X_159,$fot(Y))]]) ).
cnf(refute_0_502,plain,
multiply(X_36,add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50))) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(multiply(inverse(inverse(X_36)),X_50)))]]) ).
cnf(refute_0_503,plain,
add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50)) = add(inverse(X_36),X_50),
inference(subst,[],[refute_0_433:[bind(X_10,$fot(inverse(X_36))),bind(X_12,$fot(X_50))]]) ).
cnf(refute_0_504,plain,
( multiply(X_36,add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50))) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50)) != add(inverse(X_36),X_50)
| multiply(X_36,add(inverse(X_36),X_50)) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50))),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) ),[0,1],$fot(add(inverse(X_36),X_50))]]) ).
cnf(refute_0_505,plain,
( multiply(X_36,add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50))) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(X_36,add(inverse(X_36),X_50)) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50)),add(inverse(X_36),X_50)) )],[refute_0_503,refute_0_504]) ).
cnf(refute_0_506,plain,
multiply(X_36,add(inverse(X_36),X_50)) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),multiply(inverse(inverse(X_36)),X_50))),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) )],[refute_0_502,refute_0_505]) ).
cnf(refute_0_507,plain,
multiply(X_36,add(inverse(X_36),X_50)) = multiply(X_36,X_50),
inference(subst,[],[refute_0_21:[bind(X_38,$fot(X_50))]]) ).
cnf(refute_0_508,plain,
( multiply(X_36,add(inverse(X_36),X_50)) != multiply(X_36,X_50)
| multiply(X_36,add(inverse(X_36),X_50)) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(X_36,X_50) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_50)),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) ),[0],$fot(multiply(X_36,X_50))]]) ).
cnf(refute_0_509,plain,
( multiply(X_36,add(inverse(X_36),X_50)) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(X_36,X_50) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_50)),multiply(X_36,X_50)) )],[refute_0_507,refute_0_508]) ).
cnf(refute_0_510,plain,
multiply(X_36,X_50) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),
inference(resolve,[$cnf( $equal(multiply(X_36,add(inverse(X_36),X_50)),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) )],[refute_0_506,refute_0_509]) ).
cnf(refute_0_511,plain,
multiply(inverse(inverse(X_36)),X_50) = multiply(inverse(inverse(X_36)),X_50),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_36)),X_50))]]) ).
cnf(refute_0_512,plain,
( multiply(inverse(inverse(X_36)),X_50) != multiply(inverse(inverse(X_36)),X_50)
| inverse(inverse(X_36)) != X_36
| multiply(inverse(inverse(X_36)),X_50) = multiply(X_36,X_50) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_36)),X_50),multiply(inverse(inverse(X_36)),X_50)) ),[1,0],$fot(X_36)]]) ).
cnf(refute_0_513,plain,
( inverse(inverse(X_36)) != X_36
| multiply(inverse(inverse(X_36)),X_50) = multiply(X_36,X_50) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_36)),X_50),multiply(inverse(inverse(X_36)),X_50)) )],[refute_0_511,refute_0_512]) ).
cnf(refute_0_514,plain,
multiply(inverse(inverse(X_36)),X_50) = multiply(X_36,X_50),
inference(resolve,[$cnf( $equal(inverse(inverse(X_36)),X_36) )],[refute_0_468,refute_0_513]) ).
cnf(refute_0_515,plain,
multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) = multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),
introduced(tautology,[refl,[$fot(multiply(X_36,multiply(inverse(inverse(X_36)),X_50)))]]) ).
cnf(refute_0_516,plain,
( multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(inverse(inverse(X_36)),X_50) != multiply(X_36,X_50)
| multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) = multiply(X_36,multiply(X_36,X_50)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) ),[1,1],$fot(multiply(X_36,X_50))]]) ).
cnf(refute_0_517,plain,
( multiply(inverse(inverse(X_36)),X_50) != multiply(X_36,X_50)
| multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) = multiply(X_36,multiply(X_36,X_50)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) )],[refute_0_515,refute_0_516]) ).
cnf(refute_0_518,plain,
multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) = multiply(X_36,multiply(X_36,X_50)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_36)),X_50),multiply(X_36,X_50)) )],[refute_0_514,refute_0_517]) ).
cnf(refute_0_519,plain,
( multiply(X_36,X_50) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(X_36,multiply(inverse(inverse(X_36)),X_50)) != multiply(X_36,multiply(X_36,X_50))
| multiply(X_36,X_50) = multiply(X_36,multiply(X_36,X_50)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_36,X_50),multiply(X_36,multiply(X_36,X_50))) ),[0],$fot(multiply(X_36,multiply(inverse(inverse(X_36)),X_50)))]]) ).
cnf(refute_0_520,plain,
( multiply(X_36,X_50) != multiply(X_36,multiply(inverse(inverse(X_36)),X_50))
| multiply(X_36,X_50) = multiply(X_36,multiply(X_36,X_50)) ),
inference(resolve,[$cnf( $equal(multiply(X_36,multiply(inverse(inverse(X_36)),X_50)),multiply(X_36,multiply(X_36,X_50))) )],[refute_0_518,refute_0_519]) ).
cnf(refute_0_521,plain,
multiply(X_36,X_50) = multiply(X_36,multiply(X_36,X_50)),
inference(resolve,[$cnf( $equal(multiply(X_36,X_50),multiply(X_36,multiply(inverse(inverse(X_36)),X_50))) )],[refute_0_510,refute_0_520]) ).
cnf(refute_0_522,plain,
( multiply(X_36,X_50) != multiply(X_36,multiply(X_36,X_50))
| multiply(X_36,multiply(X_36,X_50)) = multiply(X_36,X_50) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_36,X_50))),bind(Y0,$fot(multiply(X_36,multiply(X_36,X_50))))]]) ).
cnf(refute_0_523,plain,
multiply(X_36,multiply(X_36,X_50)) = multiply(X_36,X_50),
inference(resolve,[$cnf( $equal(multiply(X_36,X_50),multiply(X_36,multiply(X_36,X_50))) )],[refute_0_521,refute_0_522]) ).
cnf(refute_0_524,plain,
multiply(X,multiply(X,add(Y,Z))) = multiply(X,add(Y,Z)),
inference(subst,[],[refute_0_523:[bind(X_36,$fot(X)),bind(X_50,$fot(add(Y,Z)))]]) ).
cnf(refute_0_525,plain,
multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,multiply(X,multiply(X,add(Y,Z)))),
introduced(tautology,[refl,[$fot(multiply(Z,multiply(X,multiply(X,add(Y,Z)))))]]) ).
cnf(refute_0_526,plain,
( multiply(X,multiply(X,add(Y,Z))) != multiply(X,add(Y,Z))
| multiply(Z,multiply(X,multiply(X,add(Y,Z)))) != multiply(Z,multiply(X,multiply(X,add(Y,Z))))
| multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,multiply(X,add(Y,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(Z,multiply(X,multiply(X,add(Y,Z)))),multiply(Z,multiply(X,multiply(X,add(Y,Z))))) ),[1,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_527,plain,
( multiply(X,multiply(X,add(Y,Z))) != multiply(X,add(Y,Z))
| multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,multiply(X,add(Y,Z))) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(X,multiply(X,add(Y,Z)))),multiply(Z,multiply(X,multiply(X,add(Y,Z))))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,multiply(X,add(Y,Z))),
inference(resolve,[$cnf( $equal(multiply(X,multiply(X,add(Y,Z))),multiply(X,add(Y,Z))) )],[refute_0_524,refute_0_527]) ).
cnf(refute_0_529,plain,
( multiply(Z,multiply(X,multiply(X,add(Y,Z)))) != multiply(Z,multiply(X,add(Y,Z)))
| multiply(Z,multiply(X,add(Y,Z))) != multiply(Z,X)
| multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,X) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(Z,multiply(X,multiply(X,add(Y,Z)))))),bind(Y0,$fot(multiply(Z,multiply(X,add(Y,Z))))),bind(Z0,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_530,plain,
( multiply(Z,multiply(X,add(Y,Z))) != multiply(Z,X)
| multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(X,multiply(X,add(Y,Z)))),multiply(Z,multiply(X,add(Y,Z)))) )],[refute_0_528,refute_0_529]) ).
cnf(refute_0_531,plain,
multiply(Z,multiply(X,multiply(X,add(Y,Z)))) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(X,add(Y,Z))),multiply(Z,X)) )],[refute_0_501,refute_0_530]) ).
cnf(refute_0_532,plain,
multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(Z,multiply(X,multiply(X,add(Y,Z)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X)),bind(X_157,$fot(multiply(X,add(Y,Z)))),bind(X_159,$fot(Z))]]) ).
cnf(refute_0_533,plain,
( multiply(Z,multiply(X,multiply(X,add(Y,Z)))) != multiply(Z,X)
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) != multiply(Z,multiply(X,multiply(X,add(Y,Z))))
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(Z,X) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(X,Z),multiply(X,add(Y,Z))))),bind(Y0,$fot(multiply(Z,multiply(X,multiply(X,add(Y,Z)))))),bind(Z0,$fot(multiply(Z,X)))]]) ).
cnf(refute_0_534,plain,
( multiply(Z,multiply(X,multiply(X,add(Y,Z)))) != multiply(Z,X)
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(Z,X) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),multiply(X,add(Y,Z))),multiply(Z,multiply(X,multiply(X,add(Y,Z))))) )],[refute_0_532,refute_0_533]) ).
cnf(refute_0_535,plain,
multiply(multiply(X,Z),multiply(X,add(Y,Z))) = multiply(Z,X),
inference(resolve,[$cnf( $equal(multiply(Z,multiply(X,multiply(X,add(Y,Z)))),multiply(Z,X)) )],[refute_0_531,refute_0_534]) ).
cnf(refute_0_536,plain,
multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) = multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))),
introduced(tautology,[refl,[$fot(multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))))]]) ).
cnf(refute_0_537,plain,
( multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) != multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z))))
| multiply(multiply(X,Z),multiply(X,add(Y,Z))) != multiply(Z,X)
| multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) = multiply(X_157,multiply(Z,X)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))),multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z))))) ),[1,1],$fot(multiply(Z,X))]]) ).
cnf(refute_0_538,plain,
( multiply(multiply(X,Z),multiply(X,add(Y,Z))) != multiply(Z,X)
| multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) = multiply(X_157,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))),multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z))))) )],[refute_0_536,refute_0_537]) ).
cnf(refute_0_539,plain,
multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) = multiply(X_157,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),multiply(X,add(Y,Z))),multiply(Z,X)) )],[refute_0_535,refute_0_538]) ).
cnf(refute_0_540,plain,
multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(multiply(X,Z))),bind(X_157,$fot(multiply(X,add(Y,Z)))),bind(X_159,$fot(X_157))]]) ).
cnf(refute_0_541,plain,
( multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) != multiply(X_157,multiply(Z,X))
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) != multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z))))
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(X_157,multiply(Z,X)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))))),bind(Y0,$fot(multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))))),bind(Z0,$fot(multiply(X_157,multiply(Z,X))))]]) ).
cnf(refute_0_542,plain,
( multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))) != multiply(X_157,multiply(Z,X))
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(X_157,multiply(Z,X)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))),multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z))))) )],[refute_0_540,refute_0_541]) ).
cnf(refute_0_543,plain,
multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) = multiply(X_157,multiply(Z,X)),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(multiply(X,Z),multiply(X,add(Y,Z)))),multiply(X_157,multiply(Z,X))) )],[refute_0_539,refute_0_542]) ).
cnf(refute_0_544,plain,
( multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) != multiply(X_157,multiply(Z,X))
| multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) != multiply(multiply(X,Z),X_157)
| multiply(X_157,multiply(Z,X)) = multiply(multiply(X,Z),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))),multiply(multiply(X,Z),X_157)) ),[0],$fot(multiply(X_157,multiply(Z,X)))]]) ).
cnf(refute_0_545,plain,
( multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) != multiply(multiply(X,Z),X_157)
| multiply(X_157,multiply(Z,X)) = multiply(multiply(X,Z),X_157) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))),multiply(X_157,multiply(Z,X))) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
multiply(multiply(X,Z),X_157) = multiply(Z,multiply(X,X_157)),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X)),bind(X_159,$fot(Z))]]) ).
cnf(refute_0_547,plain,
( multiply(X_157,multiply(Z,X)) != multiply(multiply(X,Z),X_157)
| multiply(multiply(X,Z),X_157) != multiply(Z,multiply(X,X_157))
| multiply(X_157,multiply(Z,X)) = multiply(Z,multiply(X,X_157)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_157,multiply(Z,X)),multiply(Z,multiply(X,X_157))) ),[0],$fot(multiply(multiply(X,Z),X_157))]]) ).
cnf(refute_0_548,plain,
( multiply(X_157,multiply(Z,X)) != multiply(multiply(X,Z),X_157)
| multiply(X_157,multiply(Z,X)) = multiply(Z,multiply(X,X_157)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),X_157),multiply(Z,multiply(X,X_157))) )],[refute_0_546,refute_0_547]) ).
cnf(refute_0_549,plain,
( multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))) != multiply(multiply(X,Z),X_157)
| multiply(X_157,multiply(Z,X)) = multiply(Z,multiply(X,X_157)) ),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(Z,X)),multiply(multiply(X,Z),X_157)) )],[refute_0_545,refute_0_548]) ).
cnf(refute_0_550,plain,
multiply(X_157,multiply(Z,X)) = multiply(Z,multiply(X,X_157)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X,Z),X_157),multiply(X,add(Y,Z))),multiply(multiply(X,Z),X_157)) )],[refute_0_256,refute_0_549]) ).
cnf(refute_0_551,plain,
multiply(b,multiply(a,c)) = multiply(a,multiply(c,b)),
inference(subst,[],[refute_0_550:[bind(X,$fot(c)),bind(Z,$fot(a)),bind(X_157,$fot(b))]]) ).
cnf(refute_0_552,plain,
( multiply(a,multiply(c,b)) != multiply(a,multiply(b,c))
| multiply(b,multiply(a,c)) != multiply(a,multiply(c,b))
| multiply(b,multiply(a,c)) = multiply(a,multiply(b,c)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(b,multiply(a,c)))),bind(Y0,$fot(multiply(a,multiply(c,b)))),bind(Z0,$fot(multiply(a,multiply(b,c))))]]) ).
cnf(refute_0_553,plain,
( multiply(a,multiply(c,b)) != multiply(a,multiply(b,c))
| multiply(b,multiply(a,c)) = multiply(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,c)),multiply(a,multiply(c,b))) )],[refute_0_551,refute_0_552]) ).
cnf(refute_0_554,plain,
multiply(b,multiply(a,c)) = multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(c,b)),multiply(a,multiply(b,c))) )],[refute_0_46,refute_0_553]) ).
cnf(refute_0_555,plain,
multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_11,X_12))) = multiply(multiply(X_11,X_12),X_157),
inference(subst,[],[refute_0_252:[bind(Z,$fot(X_157)),bind(X_145,$fot(multiply(X_11,X_12))),bind(X_147,$fot(X_159))]]) ).
cnf(refute_0_556,plain,
add(X_159,multiply(X_12,X_11)) = add(X_159,multiply(X_11,X_12)),
inference(subst,[],[refute_0_35:[bind(X_10,$fot(X_159))]]) ).
cnf(refute_0_557,plain,
( add(X_159,multiply(X_12,X_11)) != add(X_159,multiply(X_11,X_12))
| add(X_159,multiply(X_11,X_12)) = add(X_159,multiply(X_12,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_159,multiply(X_12,X_11)))),bind(Y0,$fot(add(X_159,multiply(X_11,X_12))))]]) ).
cnf(refute_0_558,plain,
add(X_159,multiply(X_11,X_12)) = add(X_159,multiply(X_12,X_11)),
inference(resolve,[$cnf( $equal(add(X_159,multiply(X_12,X_11)),add(X_159,multiply(X_11,X_12))) )],[refute_0_556,refute_0_557]) ).
cnf(refute_0_559,plain,
( multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_11,X_12))) != multiply(multiply(X_11,X_12),X_157)
| add(X_159,multiply(X_11,X_12)) != add(X_159,multiply(X_12,X_11))
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(multiply(X_11,X_12),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_11,X_12))),multiply(multiply(X_11,X_12),X_157)) ),[0,1],$fot(add(X_159,multiply(X_12,X_11)))]]) ).
cnf(refute_0_560,plain,
( multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_11,X_12))) != multiply(multiply(X_11,X_12),X_157)
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(multiply(X_11,X_12),X_157) ),
inference(resolve,[$cnf( $equal(add(X_159,multiply(X_11,X_12)),add(X_159,multiply(X_12,X_11))) )],[refute_0_558,refute_0_559]) ).
cnf(refute_0_561,plain,
multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(multiply(X_11,X_12),X_157),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_11,X_12))),multiply(multiply(X_11,X_12),X_157)) )],[refute_0_555,refute_0_560]) ).
cnf(refute_0_562,plain,
multiply(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),add(X_159,multiply(X_130,X_129))) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),
inference(subst,[],[refute_0_252:[bind(Z,$fot(add(X_27,multiply(X_129,X_130)))),bind(X_145,$fot(multiply(X_130,X_129))),bind(X_147,$fot(X_159))]]) ).
cnf(refute_0_563,plain,
multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_130,X_129))),
inference(subst,[],[refute_0_424:[bind(X_26,$fot(multiply(X_130,X_129)))]]) ).
cnf(refute_0_564,plain,
add(X_27,multiply(X_130,X_129)) = add(X_27,multiply(X_129,X_130)),
inference(subst,[],[refute_0_35:[bind(X_10,$fot(X_27)),bind(X_11,$fot(X_129)),bind(X_12,$fot(X_130))]]) ).
cnf(refute_0_565,plain,
( multiply(X_130,X_129) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_130,X_129)))
| add(X_27,multiply(X_130,X_129)) != add(X_27,multiply(X_129,X_130))
| multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_130,X_129),multiply(multiply(X_130,X_129),add(X_27,multiply(X_130,X_129)))) ),[1,1],$fot(add(X_27,multiply(X_129,X_130)))]]) ).
cnf(refute_0_566,plain,
( multiply(X_130,X_129) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_130,X_129)))
| multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
inference(resolve,[$cnf( $equal(add(X_27,multiply(X_130,X_129)),add(X_27,multiply(X_129,X_130))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),
inference(resolve,[$cnf( $equal(multiply(X_130,X_129),multiply(multiply(X_130,X_129),add(X_27,multiply(X_130,X_129)))) )],[refute_0_563,refute_0_566]) ).
cnf(refute_0_568,plain,
( multiply(X_130,X_129) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) = multiply(X_130,X_129) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_130,X_129))),bind(Y0,$fot(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))))]]) ).
cnf(refute_0_569,plain,
multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) = multiply(X_130,X_129),
inference(resolve,[$cnf( $equal(multiply(X_130,X_129),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) )],[refute_0_567,refute_0_568]) ).
cnf(refute_0_570,plain,
( multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) != multiply(X_130,X_129)
| multiply(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),add(X_159,multiply(X_130,X_129))) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),add(X_159,multiply(X_130,X_129))),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) ),[0,0],$fot(multiply(X_130,X_129))]]) ).
cnf(refute_0_571,plain,
( multiply(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),add(X_159,multiply(X_130,X_129))) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),multiply(X_130,X_129)) )],[refute_0_569,refute_0_570]) ).
cnf(refute_0_572,plain,
multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),add(X_159,multiply(X_130,X_129))),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) )],[refute_0_562,refute_0_571]) ).
cnf(refute_0_573,plain,
multiply(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),add(X_159,multiply(X_135,X_134))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)),
inference(subst,[],[refute_0_252:[bind(Z,$fot(multiply(X_134,X_135))),bind(X_145,$fot(multiply(X_135,X_134))),bind(X_147,$fot(X_159))]]) ).
cnf(refute_0_574,plain,
multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)),
inference(subst,[],[refute_0_21:[bind(X_36,$fot(multiply(X_135,X_134))),bind(X_38,$fot(multiply(X_134,X_135)))]]) ).
cnf(refute_0_575,plain,
multiply(X_135,X_134) = multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))),
inference(subst,[],[refute_0_567:[bind(X_129,$fot(X_134)),bind(X_130,$fot(X_135)),bind(X_27,$fot(inverse(multiply(X_135,X_134))))]]) ).
cnf(refute_0_576,plain,
( multiply(X_135,X_134) != multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135)))
| multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) = multiply(X_135,X_134) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_135,X_134))),bind(Y0,$fot(multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135)))))]]) ).
cnf(refute_0_577,plain,
multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) = multiply(X_135,X_134),
inference(resolve,[$cnf( $equal(multiply(X_135,X_134),multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135)))) )],[refute_0_575,refute_0_576]) ).
cnf(refute_0_578,plain,
( multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) != multiply(X_135,X_134)
| multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_135,X_134) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) ),[0],$fot(multiply(X_135,X_134))]]) ).
cnf(refute_0_579,plain,
( multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_135,X_134) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))),multiply(X_135,X_134)) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
multiply(X_135,X_134) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),add(inverse(multiply(X_135,X_134)),multiply(X_134,X_135))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) )],[refute_0_574,refute_0_579]) ).
cnf(refute_0_581,plain,
( multiply(X_135,X_134) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(multiply(X_135,X_134),multiply(X_134,X_135)) = multiply(X_135,X_134) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_135,X_134))),bind(Y0,$fot(multiply(multiply(X_135,X_134),multiply(X_134,X_135))))]]) ).
cnf(refute_0_582,plain,
multiply(multiply(X_135,X_134),multiply(X_134,X_135)) = multiply(X_135,X_134),
inference(resolve,[$cnf( $equal(multiply(X_135,X_134),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
( multiply(multiply(X_135,X_134),multiply(X_134,X_135)) != multiply(X_135,X_134)
| multiply(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),add(X_159,multiply(X_135,X_134))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),add(X_159,multiply(X_135,X_134))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) ),[0,0],$fot(multiply(X_135,X_134))]]) ).
cnf(refute_0_584,plain,
( multiply(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),add(X_159,multiply(X_135,X_134))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),multiply(X_135,X_134)) )],[refute_0_582,refute_0_583]) ).
cnf(refute_0_585,plain,
multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),add(X_159,multiply(X_135,X_134))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) )],[refute_0_573,refute_0_584]) ).
cnf(refute_0_586,plain,
multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) = multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_135)),bind(X_157,$fot(add(X_159,multiply(X_135,X_134)))),bind(X_159,$fot(X_134))]]) ).
cnf(refute_0_587,plain,
( multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) != multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134))))
| multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) ),[0],$fot(multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))))]]) ).
cnf(refute_0_588,plain,
( multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(multiply(X_135,X_134),multiply(X_134,X_135)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))),multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134))))) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
( multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(multiply(X_135,X_134),multiply(X_134,X_135)) != multiply(X_135,X_134)
| multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(X_135,X_134) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))),multiply(X_135,X_134)) ),[0],$fot(multiply(multiply(X_135,X_134),multiply(X_134,X_135)))]]) ).
cnf(refute_0_590,plain,
( multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(X_135,X_134) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),multiply(X_134,X_135)),multiply(X_135,X_134)) )],[refute_0_582,refute_0_589]) ).
cnf(refute_0_591,plain,
( multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))) != multiply(multiply(X_135,X_134),multiply(X_134,X_135))
| multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(X_135,X_134) ),
inference(resolve,[$cnf( $equal(multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) )],[refute_0_588,refute_0_590]) ).
cnf(refute_0_592,plain,
multiply(X_134,multiply(X_135,add(X_159,multiply(X_135,X_134)))) = multiply(X_135,X_134),
inference(resolve,[$cnf( $equal(multiply(multiply(X_135,X_134),add(X_159,multiply(X_135,X_134))),multiply(multiply(X_135,X_134),multiply(X_134,X_135))) )],[refute_0_585,refute_0_591]) ).
cnf(refute_0_593,plain,
multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))) = multiply(X_130,X_129),
inference(subst,[],[refute_0_592:[bind(X_134,$fot(X_129)),bind(X_135,$fot(X_130))]]) ).
cnf(refute_0_594,plain,
multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_130)),bind(X_157,$fot(add(X_159,multiply(X_130,X_129)))),bind(X_159,$fot(X_129))]]) ).
cnf(refute_0_595,plain,
( multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))) != multiply(X_130,X_129)
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) != multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129))))
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(X_130,X_129) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))))),bind(Y0,$fot(multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))))),bind(Z0,$fot(multiply(X_130,X_129)))]]) ).
cnf(refute_0_596,plain,
( multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))) != multiply(X_130,X_129)
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(X_130,X_129) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))),multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129))))) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) = multiply(X_130,X_129),
inference(resolve,[$cnf( $equal(multiply(X_129,multiply(X_130,add(X_159,multiply(X_130,X_129)))),multiply(X_130,X_129)) )],[refute_0_593,refute_0_596]) ).
cnf(refute_0_598,plain,
( multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) != multiply(X_130,X_129)
| multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) ),[0],$fot(multiply(X_130,X_129))]]) ).
cnf(refute_0_599,plain,
( multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(X_130,X_129) = multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))),multiply(X_130,X_129)) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) = multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_130)),bind(X_157,$fot(add(X_27,multiply(X_129,X_130)))),bind(X_159,$fot(X_129))]]) ).
cnf(refute_0_601,plain,
( multiply(X_130,X_129) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))) != multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))
| multiply(X_130,X_129) = multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_130,X_129),multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))) ),[0],$fot(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))))]]) ).
cnf(refute_0_602,plain,
( multiply(X_130,X_129) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(X_130,X_129) = multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130))),multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))) )],[refute_0_600,refute_0_601]) ).
cnf(refute_0_603,plain,
( multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))) != multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))
| multiply(X_130,X_129) = multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))) ),
inference(resolve,[$cnf( $equal(multiply(X_130,X_129),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) )],[refute_0_599,refute_0_602]) ).
cnf(refute_0_604,plain,
multiply(X_130,X_129) = multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_130,X_129),add(X_159,multiply(X_130,X_129))),multiply(multiply(X_130,X_129),add(X_27,multiply(X_129,X_130)))) )],[refute_0_572,refute_0_603]) ).
cnf(refute_0_605,plain,
( multiply(X_130,X_129) != multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))
| multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))) = multiply(X_130,X_129) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_130,X_129))),bind(Y0,$fot(multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))))]]) ).
cnf(refute_0_606,plain,
multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130)))) = multiply(X_130,X_129),
inference(resolve,[$cnf( $equal(multiply(X_130,X_129),multiply(X_129,multiply(X_130,add(X_27,multiply(X_129,X_130))))) )],[refute_0_604,refute_0_605]) ).
cnf(refute_0_607,plain,
multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))) = multiply(X_11,X_12),
inference(subst,[],[refute_0_606:[bind(X_129,$fot(X_12)),bind(X_130,$fot(X_11)),bind(X_27,$fot(X_159))]]) ).
cnf(refute_0_608,plain,
multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) = multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_11)),bind(X_157,$fot(add(X_159,multiply(X_12,X_11)))),bind(X_159,$fot(X_12))]]) ).
cnf(refute_0_609,plain,
( multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))) != multiply(X_11,X_12)
| multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) != multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11))))
| multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) = multiply(X_11,X_12) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))),bind(Y0,$fot(multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))))),bind(Z0,$fot(multiply(X_11,X_12)))]]) ).
cnf(refute_0_610,plain,
( multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))) != multiply(X_11,X_12)
| multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) = multiply(X_11,X_12) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))),multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11))))) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) = multiply(X_11,X_12),
inference(resolve,[$cnf( $equal(multiply(X_12,multiply(X_11,add(X_159,multiply(X_12,X_11)))),multiply(X_11,X_12)) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) = multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))),
introduced(tautology,[refl,[$fot(multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))))]]) ).
cnf(refute_0_613,plain,
( multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) != multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))
| multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) != multiply(X_11,X_12)
| multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) = multiply(X_157,multiply(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))),multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))) ),[1,1],$fot(multiply(X_11,X_12))]]) ).
cnf(refute_0_614,plain,
( multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))) != multiply(X_11,X_12)
| multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) = multiply(X_157,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))),multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))) )],[refute_0_612,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) = multiply(X_157,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))),multiply(X_11,X_12)) )],[refute_0_611,refute_0_614]) ).
cnf(refute_0_616,plain,
multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))),
inference(subst,[],[refute_0_496:[bind(Y,$fot(multiply(X_11,X_12))),bind(X_157,$fot(add(X_159,multiply(X_12,X_11)))),bind(X_159,$fot(X_157))]]) ).
cnf(refute_0_617,plain,
( multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) != multiply(X_157,multiply(X_11,X_12))
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) != multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(X_157,multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))))),bind(Y0,$fot(multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))))),bind(Z0,$fot(multiply(X_157,multiply(X_11,X_12))))]]) ).
cnf(refute_0_618,plain,
( multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))) != multiply(X_157,multiply(X_11,X_12))
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(X_157,multiply(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))),multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11))))) )],[refute_0_616,refute_0_617]) ).
cnf(refute_0_619,plain,
multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) = multiply(X_157,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(multiply(X_11,X_12),add(X_159,multiply(X_12,X_11)))),multiply(X_157,multiply(X_11,X_12))) )],[refute_0_615,refute_0_618]) ).
cnf(refute_0_620,plain,
( multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) != multiply(X_157,multiply(X_11,X_12))
| multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) != multiply(multiply(X_11,X_12),X_157)
| multiply(X_157,multiply(X_11,X_12)) = multiply(multiply(X_11,X_12),X_157) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))),multiply(multiply(X_11,X_12),X_157)) ),[0],$fot(multiply(X_157,multiply(X_11,X_12)))]]) ).
cnf(refute_0_621,plain,
( multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) != multiply(multiply(X_11,X_12),X_157)
| multiply(X_157,multiply(X_11,X_12)) = multiply(multiply(X_11,X_12),X_157) ),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))),multiply(X_157,multiply(X_11,X_12))) )],[refute_0_619,refute_0_620]) ).
cnf(refute_0_622,plain,
multiply(multiply(X_11,X_12),X_157) = multiply(X_12,multiply(X_11,X_157)),
inference(subst,[],[refute_0_496:[bind(Y,$fot(X_11)),bind(X_159,$fot(X_12))]]) ).
cnf(refute_0_623,plain,
( multiply(X_157,multiply(X_11,X_12)) != multiply(multiply(X_11,X_12),X_157)
| multiply(multiply(X_11,X_12),X_157) != multiply(X_12,multiply(X_11,X_157))
| multiply(X_157,multiply(X_11,X_12)) = multiply(X_12,multiply(X_11,X_157)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_157,multiply(X_11,X_12)),multiply(X_12,multiply(X_11,X_157))) ),[0],$fot(multiply(multiply(X_11,X_12),X_157))]]) ).
cnf(refute_0_624,plain,
( multiply(X_157,multiply(X_11,X_12)) != multiply(multiply(X_11,X_12),X_157)
| multiply(X_157,multiply(X_11,X_12)) = multiply(X_12,multiply(X_11,X_157)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_11,X_12),X_157),multiply(X_12,multiply(X_11,X_157))) )],[refute_0_622,refute_0_623]) ).
cnf(refute_0_625,plain,
( multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))) != multiply(multiply(X_11,X_12),X_157)
| multiply(X_157,multiply(X_11,X_12)) = multiply(X_12,multiply(X_11,X_157)) ),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(X_11,X_12)),multiply(multiply(X_11,X_12),X_157)) )],[refute_0_621,refute_0_624]) ).
cnf(refute_0_626,plain,
multiply(X_157,multiply(X_11,X_12)) = multiply(X_12,multiply(X_11,X_157)),
inference(resolve,[$cnf( $equal(multiply(multiply(multiply(X_11,X_12),X_157),add(X_159,multiply(X_12,X_11))),multiply(multiply(X_11,X_12),X_157)) )],[refute_0_561,refute_0_625]) ).
cnf(refute_0_627,plain,
( multiply(X_157,multiply(X_11,X_12)) != multiply(X_12,multiply(X_11,X_157))
| multiply(X_12,multiply(X_11,X_157)) = multiply(X_157,multiply(X_11,X_12)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_157,multiply(X_11,X_12)))),bind(Y0,$fot(multiply(X_12,multiply(X_11,X_157))))]]) ).
cnf(refute_0_628,plain,
multiply(X_12,multiply(X_11,X_157)) = multiply(X_157,multiply(X_11,X_12)),
inference(resolve,[$cnf( $equal(multiply(X_157,multiply(X_11,X_12)),multiply(X_12,multiply(X_11,X_157))) )],[refute_0_626,refute_0_627]) ).
cnf(refute_0_629,plain,
multiply(c,multiply(a,b)) = multiply(b,multiply(a,c)),
inference(subst,[],[refute_0_628:[bind(X_11,$fot(a)),bind(X_12,$fot(c)),bind(X_157,$fot(b))]]) ).
cnf(refute_0_630,plain,
( multiply(b,multiply(a,c)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) != multiply(b,multiply(a,c))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
inference(subst,[],[refute_0_101:[bind(X0,$fot(multiply(c,multiply(a,b)))),bind(Y0,$fot(multiply(b,multiply(a,c)))),bind(Z0,$fot(multiply(a,multiply(b,c))))]]) ).
cnf(refute_0_631,plain,
( multiply(b,multiply(a,c)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(b,multiply(a,c))) )],[refute_0_629,refute_0_630]) ).
cnf(refute_0_632,plain,
multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(b,multiply(a,c)),multiply(a,multiply(b,c))) )],[refute_0_554,refute_0_631]) ).
cnf(refute_0_633,plain,
( multiply(a,multiply(b,c)) != multiply(a,multiply(b,c))
| multiply(c,multiply(a,b)) != multiply(a,multiply(b,c))
| multiply(a,multiply(b,c)) = multiply(c,multiply(a,b)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(a,multiply(b,c)),multiply(c,multiply(a,b))) ),[1],$fot(multiply(a,multiply(b,c)))]]) ).
cnf(refute_0_634,plain,
( multiply(a,multiply(b,c)) != multiply(a,multiply(b,c))
| multiply(a,multiply(b,c)) = multiply(c,multiply(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(b,c))) )],[refute_0_632,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(c,multiply(a,b))) )],[refute_0_634,refute_0_8]) ).
cnf(refute_0_636,plain,
multiply(a,multiply(b,c)) = multiply(a,multiply(b,c)),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,c)))]]) ).
cnf(refute_0_637,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(a,multiply(b,c))) )],[refute_0_636,refute_0_635]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : BOO007-4 : TPTP v8.1.0. Released v1.1.0.
% 0.08/0.10 % Command : metis --show proof --show saturation %s
% 0.09/0.29 % Computer : n022.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Wed Jun 1 17:50:37 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.30 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.13/2.31 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.13/2.31
% 2.13/2.31 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.23/2.41
%------------------------------------------------------------------------------