TSTP Solution File: BOO007-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 23:44:26 EDT 2022
% Result : Unsatisfiable 11.13s 11.29s
% Output : CNFRefutation 11.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 161
% Number of leaves : 530
% Syntax : Number of clauses : 2565 (1278 unt; 0 nHn;1227 RR)
% Number of literals : 4406 (4405 equ;1844 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 5602 ( 230 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_add,axiom,
add(X,Y) = add(Y,X) ).
cnf(commutativity_of_multiply,axiom,
multiply(X,Y) = multiply(Y,X) ).
cnf(distributivity1,axiom,
add(multiply(X,Y),Z) = multiply(add(X,Z),add(Y,Z)) ).
cnf(distributivity2,axiom,
add(X,multiply(Y,Z)) = multiply(add(X,Y),add(X,Z)) ).
cnf(distributivity3,axiom,
multiply(add(X,Y),Z) = add(multiply(X,Z),multiply(Y,Z)) ).
cnf(distributivity4,axiom,
multiply(X,add(Y,Z)) = add(multiply(X,Y),multiply(X,Z)) ).
cnf(additive_inverse1,axiom,
add(X,inverse(X)) = multiplicative_identity ).
cnf(multiplicative_inverse1,axiom,
multiply(X,inverse(X)) = additive_identity ).
cnf(multiplicative_id1,axiom,
multiply(X,multiplicative_identity) = X ).
cnf(multiplicative_id2,axiom,
multiply(multiplicative_identity,X) = X ).
cnf(additive_id1,axiom,
add(X,additive_identity) = X ).
cnf(additive_id2,axiom,
add(additive_identity,X) = X ).
cnf(prove_associativity,negated_conjecture,
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( $equal(multiply(a,multiply(b,c)),multiply(multiply(a,b),c)) )],[refute_0_7,prove_associativity]) ).
cnf(refute_0_9,plain,
multiply(add(X_56,X_57),inverse(X_56)) = add(multiply(X_56,inverse(X_56)),multiply(X_57,inverse(X_56))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(inverse(X_56)))]]) ).
cnf(refute_0_10,plain,
multiply(X_56,inverse(X_56)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_56))]]) ).
cnf(refute_0_11,plain,
( multiply(X_56,inverse(X_56)) != additive_identity
| multiply(add(X_56,X_57),inverse(X_56)) != add(multiply(X_56,inverse(X_56)),multiply(X_57,inverse(X_56)))
| multiply(add(X_56,X_57),inverse(X_56)) = add(additive_identity,multiply(X_57,inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_56)),add(multiply(X_56,inverse(X_56)),multiply(X_57,inverse(X_56)))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_12,plain,
( multiply(add(X_56,X_57),inverse(X_56)) != add(multiply(X_56,inverse(X_56)),multiply(X_57,inverse(X_56)))
| multiply(add(X_56,X_57),inverse(X_56)) = add(additive_identity,multiply(X_57,inverse(X_56))) ),
inference(resolve,[$cnf( $equal(multiply(X_56,inverse(X_56)),additive_identity) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
multiply(add(X_56,X_57),inverse(X_56)) = add(additive_identity,multiply(X_57,inverse(X_56))),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_56)),add(multiply(X_56,inverse(X_56)),multiply(X_57,inverse(X_56)))) )],[refute_0_9,refute_0_12]) ).
cnf(refute_0_14,plain,
multiply(add(X_56,X_57),inverse(X_56)) = multiply(inverse(X_56),add(X_56,X_57)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_56))),bind(Y,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_15,plain,
( multiply(add(X_56,X_57),inverse(X_56)) != multiply(inverse(X_56),add(X_56,X_57))
| multiply(add(X_56,X_57),inverse(X_56)) != add(additive_identity,multiply(X_57,inverse(X_56)))
| multiply(inverse(X_56),add(X_56,X_57)) = add(additive_identity,multiply(X_57,inverse(X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_56)),add(additive_identity,multiply(X_57,inverse(X_56)))) ),[0],$fot(multiply(inverse(X_56),add(X_56,X_57)))]]) ).
cnf(refute_0_16,plain,
( multiply(add(X_56,X_57),inverse(X_56)) != add(additive_identity,multiply(X_57,inverse(X_56)))
| multiply(inverse(X_56),add(X_56,X_57)) = add(additive_identity,multiply(X_57,inverse(X_56))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_56)),multiply(inverse(X_56),add(X_56,X_57))) )],[refute_0_14,refute_0_15]) ).
cnf(refute_0_17,plain,
add(additive_identity,multiply(X_57,inverse(X_56))) = multiply(X_57,inverse(X_56)),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_57,inverse(X_56))))]]) ).
cnf(refute_0_18,plain,
( multiply(inverse(X_56),add(X_56,X_57)) != add(additive_identity,multiply(X_57,inverse(X_56)))
| add(additive_identity,multiply(X_57,inverse(X_56))) != multiply(X_57,inverse(X_56))
| multiply(inverse(X_56),add(X_56,X_57)) = multiply(X_57,inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_56),add(X_56,X_57)),multiply(X_57,inverse(X_56))) ),[0],$fot(add(additive_identity,multiply(X_57,inverse(X_56))))]]) ).
cnf(refute_0_19,plain,
( multiply(inverse(X_56),add(X_56,X_57)) != add(additive_identity,multiply(X_57,inverse(X_56)))
| multiply(inverse(X_56),add(X_56,X_57)) = multiply(X_57,inverse(X_56)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_57,inverse(X_56))),multiply(X_57,inverse(X_56))) )],[refute_0_17,refute_0_18]) ).
cnf(refute_0_20,plain,
( multiply(add(X_56,X_57),inverse(X_56)) != add(additive_identity,multiply(X_57,inverse(X_56)))
| multiply(inverse(X_56),add(X_56,X_57)) = multiply(X_57,inverse(X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,X_57)),add(additive_identity,multiply(X_57,inverse(X_56)))) )],[refute_0_16,refute_0_19]) ).
cnf(refute_0_21,plain,
multiply(inverse(X_56),add(X_56,X_57)) = multiply(X_57,inverse(X_56)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_56)),add(additive_identity,multiply(X_57,inverse(X_56)))) )],[refute_0_13,refute_0_20]) ).
cnf(refute_0_22,plain,
multiply(inverse(multiply(X_76,X_77)),add(multiply(X_76,X_77),multiply(X_76,X_78))) = multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(multiply(X_76,X_77))),bind(X_57,$fot(multiply(X_76,X_78)))]]) ).
cnf(refute_0_23,plain,
multiply(X_76,add(X_77,X_78)) = add(multiply(X_76,X_77),multiply(X_76,X_78)),
inference(subst,[],[distributivity4:[bind(X,$fot(X_76)),bind(Y,$fot(X_77)),bind(Z,$fot(X_78))]]) ).
cnf(refute_0_24,plain,
( multiply(X_76,add(X_77,X_78)) != add(multiply(X_76,X_77),multiply(X_76,X_78))
| add(multiply(X_76,X_77),multiply(X_76,X_78)) = multiply(X_76,add(X_77,X_78)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_76,add(X_77,X_78)))),bind(Y0,$fot(add(multiply(X_76,X_77),multiply(X_76,X_78))))]]) ).
cnf(refute_0_25,plain,
add(multiply(X_76,X_77),multiply(X_76,X_78)) = multiply(X_76,add(X_77,X_78)),
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_77,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
( multiply(inverse(multiply(X_76,X_77)),add(multiply(X_76,X_77),multiply(X_76,X_78))) != multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77)))
| add(multiply(X_76,X_77),multiply(X_76,X_78)) != multiply(X_76,add(X_77,X_78))
| multiply(inverse(multiply(X_76,X_77)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_76,X_77)),add(multiply(X_76,X_77),multiply(X_76,X_78))),multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77)))) ),[0,1],$fot(multiply(X_76,add(X_77,X_78)))]]) ).
cnf(refute_0_27,plain,
( multiply(inverse(multiply(X_76,X_77)),add(multiply(X_76,X_77),multiply(X_76,X_78))) != multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77)))
| multiply(inverse(multiply(X_76,X_77)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
multiply(inverse(multiply(X_76,X_77)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_76,X_77)),add(multiply(X_76,X_77),multiply(X_76,X_78))),multiply(multiply(X_76,X_78),inverse(multiply(X_76,X_77)))) )],[refute_0_22,refute_0_27]) ).
cnf(refute_0_29,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(inverse(X_11),multiply(X_10,X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))),
inference(subst,[],[refute_0_28:[bind(X_76,$fot(X_226)),bind(X_77,$fot(inverse(X_11))),bind(X_78,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_30,plain,
add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_11)))]]) ).
cnf(refute_0_31,plain,
add(X_11,inverse(X_11)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_32,plain,
( add(X_11,inverse(X_11)) != multiplicative_identity
| add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
| add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_33,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))
| add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_11,inverse(X_11)),multiplicative_identity) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
add(multiply(X_10,X_11),inverse(X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),add(X_11,inverse(X_11)))) )],[refute_0_30,refute_0_33]) ).
cnf(refute_0_35,plain,
( add(X,Y) != add(Y,X)
| add(Y,X) = add(X,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,Y))),bind(Y0,$fot(add(Y,X)))]]) ).
cnf(refute_0_36,plain,
add(Y,X) = add(X,Y),
inference(resolve,[$cnf( $equal(add(X,Y),add(Y,X)) )],[commutativity_of_add,refute_0_35]) ).
cnf(refute_0_37,plain,
add(multiply(X_10,X_11),inverse(X_11)) = add(inverse(X_11),multiply(X_10,X_11)),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(X_11))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_38,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(multiply(X_10,X_11),inverse(X_11)) != add(inverse(X_11),multiply(X_10,X_11))
| add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[0],$fot(add(inverse(X_11),multiply(X_10,X_11)))]]) ).
cnf(refute_0_39,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = multiply(add(X_10,inverse(X_11)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
multiply(add(X_10,inverse(X_11)),multiplicative_identity) = add(X_10,inverse(X_11)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,inverse(X_11))))]]) ).
cnf(refute_0_41,plain,
( multiply(add(X_10,inverse(X_11)),multiplicative_identity) != add(X_10,inverse(X_11))
| add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) ),[1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_42,plain,
( add(inverse(X_11),multiply(X_10,X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,inverse(X_11)),multiplicative_identity),add(X_10,inverse(X_11))) )],[refute_0_40,refute_0_41]) ).
cnf(refute_0_43,plain,
( add(multiply(X_10,X_11),inverse(X_11)) != multiply(add(X_10,inverse(X_11)),multiplicative_identity)
| add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_39,refute_0_42]) ).
cnf(refute_0_44,plain,
add(inverse(X_11),multiply(X_10,X_11)) = add(X_10,inverse(X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_11)),multiply(add(X_10,inverse(X_11)),multiplicative_identity)) )],[refute_0_34,refute_0_43]) ).
cnf(refute_0_45,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(inverse(X_11),multiply(X_10,X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(inverse(X_11),multiply(X_10,X_11)))),multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))) ),[0,1,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_46,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(inverse(X_11),multiply(X_10,X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_44,refute_0_45]) ).
cnf(refute_0_47,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(inverse(X_11),multiply(X_10,X_11)))),multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))) )],[refute_0_29,refute_0_46]) ).
cnf(refute_0_48,plain,
multiply(add(X_56,X_57),inverse(X_57)) = add(multiply(X_56,inverse(X_57)),multiply(X_57,inverse(X_57))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(inverse(X_57)))]]) ).
cnf(refute_0_49,plain,
multiply(X_57,inverse(X_57)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_50,plain,
( multiply(X_57,inverse(X_57)) != additive_identity
| multiply(add(X_56,X_57),inverse(X_57)) != add(multiply(X_56,inverse(X_57)),multiply(X_57,inverse(X_57)))
| multiply(add(X_56,X_57),inverse(X_57)) = add(multiply(X_56,inverse(X_57)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_57)),add(multiply(X_56,inverse(X_57)),multiply(X_57,inverse(X_57)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_51,plain,
( multiply(add(X_56,X_57),inverse(X_57)) != add(multiply(X_56,inverse(X_57)),multiply(X_57,inverse(X_57)))
| multiply(add(X_56,X_57),inverse(X_57)) = add(multiply(X_56,inverse(X_57)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_57,inverse(X_57)),additive_identity) )],[refute_0_49,refute_0_50]) ).
cnf(refute_0_52,plain,
multiply(add(X_56,X_57),inverse(X_57)) = add(multiply(X_56,inverse(X_57)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_57)),add(multiply(X_56,inverse(X_57)),multiply(X_57,inverse(X_57)))) )],[refute_0_48,refute_0_51]) ).
cnf(refute_0_53,plain,
multiply(add(X_56,X_57),inverse(X_57)) = multiply(inverse(X_57),add(X_56,X_57)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_57))),bind(Y,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_54,plain,
( multiply(add(X_56,X_57),inverse(X_57)) != multiply(inverse(X_57),add(X_56,X_57))
| multiply(add(X_56,X_57),inverse(X_57)) != add(multiply(X_56,inverse(X_57)),additive_identity)
| multiply(inverse(X_57),add(X_56,X_57)) = add(multiply(X_56,inverse(X_57)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_57)),add(multiply(X_56,inverse(X_57)),additive_identity)) ),[0],$fot(multiply(inverse(X_57),add(X_56,X_57)))]]) ).
cnf(refute_0_55,plain,
( multiply(add(X_56,X_57),inverse(X_57)) != add(multiply(X_56,inverse(X_57)),additive_identity)
| multiply(inverse(X_57),add(X_56,X_57)) = add(multiply(X_56,inverse(X_57)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_57)),multiply(inverse(X_57),add(X_56,X_57))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
add(multiply(X_56,inverse(X_57)),additive_identity) = multiply(X_56,inverse(X_57)),
inference(subst,[],[additive_id1:[bind(X,$fot(multiply(X_56,inverse(X_57))))]]) ).
cnf(refute_0_57,plain,
( multiply(inverse(X_57),add(X_56,X_57)) != add(multiply(X_56,inverse(X_57)),additive_identity)
| add(multiply(X_56,inverse(X_57)),additive_identity) != multiply(X_56,inverse(X_57))
| multiply(inverse(X_57),add(X_56,X_57)) = multiply(X_56,inverse(X_57)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_57),add(X_56,X_57)),multiply(X_56,inverse(X_57))) ),[0],$fot(add(multiply(X_56,inverse(X_57)),additive_identity))]]) ).
cnf(refute_0_58,plain,
( multiply(inverse(X_57),add(X_56,X_57)) != add(multiply(X_56,inverse(X_57)),additive_identity)
| multiply(inverse(X_57),add(X_56,X_57)) = multiply(X_56,inverse(X_57)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,inverse(X_57)),additive_identity),multiply(X_56,inverse(X_57))) )],[refute_0_56,refute_0_57]) ).
cnf(refute_0_59,plain,
( multiply(add(X_56,X_57),inverse(X_57)) != add(multiply(X_56,inverse(X_57)),additive_identity)
| multiply(inverse(X_57),add(X_56,X_57)) = multiply(X_56,inverse(X_57)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_57),add(X_56,X_57)),add(multiply(X_56,inverse(X_57)),additive_identity)) )],[refute_0_55,refute_0_58]) ).
cnf(refute_0_60,plain,
multiply(inverse(X_57),add(X_56,X_57)) = multiply(X_56,inverse(X_57)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),inverse(X_57)),add(multiply(X_56,inverse(X_57)),additive_identity)) )],[refute_0_52,refute_0_59]) ).
cnf(refute_0_61,plain,
multiply(inverse(multiply(X_76,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))) = multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78))),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(multiply(X_76,X_77))),bind(X_57,$fot(multiply(X_76,X_78)))]]) ).
cnf(refute_0_62,plain,
( multiply(inverse(multiply(X_76,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))) != multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78)))
| add(multiply(X_76,X_77),multiply(X_76,X_78)) != multiply(X_76,add(X_77,X_78))
| multiply(inverse(multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_76,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))),multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78)))) ),[0,1],$fot(multiply(X_76,add(X_77,X_78)))]]) ).
cnf(refute_0_63,plain,
( multiply(inverse(multiply(X_76,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))) != multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78)))
| multiply(inverse(multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) )],[refute_0_25,refute_0_62]) ).
cnf(refute_0_64,plain,
multiply(inverse(multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) = multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_76,X_78)),add(multiply(X_76,X_77),multiply(X_76,X_78))),multiply(multiply(X_76,X_77),inverse(multiply(X_76,X_78)))) )],[refute_0_61,refute_0_63]) ).
cnf(refute_0_65,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) = multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),
inference(subst,[],[refute_0_64:[bind(X_76,$fot(X_226)),bind(X_77,$fot(X_10)),bind(X_78,$fot(inverse(X_11)))]]) ).
cnf(refute_0_66,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) != multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11))))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))),multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))) ),[0],$fot(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))))]]) ).
cnf(refute_0_67,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))),multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11))))) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
add(multiply(additive_identity,X_11),X_12) = multiply(add(additive_identity,X_12),add(X_11,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_69,plain,
add(additive_identity,X_12) = X_12,
inference(subst,[],[additive_id2:[bind(X,$fot(X_12))]]) ).
cnf(refute_0_70,plain,
( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
| add(additive_identity,X_12) != X_12
| add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_71,plain,
( add(multiply(additive_identity,X_11),X_12) != multiply(add(additive_identity,X_12),add(X_11,X_12))
| add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_69,refute_0_70]) ).
cnf(refute_0_72,plain,
add(multiply(additive_identity,X_11),X_12) = multiply(X_12,add(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),X_12),multiply(add(additive_identity,X_12),add(X_11,X_12))) )],[refute_0_68,refute_0_71]) ).
cnf(refute_0_73,plain,
add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(multiply(X_37,X_38),add(inverse(X_38),multiply(X_37,X_38))),
inference(subst,[],[refute_0_72:[bind(X_11,$fot(inverse(X_38))),bind(X_12,$fot(multiply(X_37,X_38)))]]) ).
cnf(refute_0_74,plain,
add(inverse(X_38),multiply(X_37,X_38)) = add(X_37,inverse(X_38)),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_37)),bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_75,plain,
( add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != multiply(multiply(X_37,X_38),add(inverse(X_38),multiply(X_37,X_38)))
| add(inverse(X_38),multiply(X_37,X_38)) != add(X_37,inverse(X_38))
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),multiply(multiply(X_37,X_38),add(inverse(X_38),multiply(X_37,X_38)))) ),[1,1],$fot(add(X_37,inverse(X_38)))]]) ).
cnf(refute_0_76,plain,
( add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != multiply(multiply(X_37,X_38),add(inverse(X_38),multiply(X_37,X_38)))
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_38),multiply(X_37,X_38)),add(X_37,inverse(X_38))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),multiply(multiply(X_37,X_38),add(inverse(X_38),multiply(X_37,X_38)))) )],[refute_0_73,refute_0_76]) ).
cnf(refute_0_78,plain,
add(additive_identity,multiply(X_37,X_38)) = multiply(X_37,X_38),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_37,X_38)))]]) ).
cnf(refute_0_79,plain,
multiply(add(additive_identity,X_57),additive_identity) = add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity)),
inference(subst,[],[distributivity3:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_57)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_80,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),add(additive_identity,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_81,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
| add(additive_identity,X_12) != X_12
| add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_82,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),add(additive_identity,X_12))
| add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_12),X_12) )],[refute_0_69,refute_0_81]) ).
cnf(refute_0_83,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(add(X_10,X_12),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),add(additive_identity,X_12))) )],[refute_0_80,refute_0_82]) ).
cnf(refute_0_84,plain,
multiply(add(X_10,X_12),X_12) = multiply(X_12,add(X_10,X_12)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_12)),bind(Y,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_85,plain,
( multiply(add(X_10,X_12),X_12) != multiply(X_12,add(X_10,X_12))
| add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
| add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) ),[1],$fot(multiply(X_12,add(X_10,X_12)))]]) ).
cnf(refute_0_86,plain,
( add(multiply(X_10,additive_identity),X_12) != multiply(add(X_10,X_12),X_12)
| add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),X_12),multiply(X_12,add(X_10,X_12))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
add(multiply(X_10,additive_identity),X_12) = multiply(X_12,add(X_10,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_12),multiply(add(X_10,X_12),X_12)) )],[refute_0_83,refute_0_86]) ).
cnf(refute_0_88,plain,
add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,add(additive_identity,X_14)),
inference(subst,[],[refute_0_87:[bind(X_10,$fot(additive_identity)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_89,plain,
add(additive_identity,X_14) = X_14,
inference(subst,[],[additive_id2:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_90,plain,
( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
| add(additive_identity,X_14) != X_14
| add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) ),[1,1],$fot(X_14)]]) ).
cnf(refute_0_91,plain,
( add(multiply(additive_identity,additive_identity),X_14) != multiply(X_14,add(additive_identity,X_14))
| add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14) ),
inference(resolve,[$cnf( $equal(add(additive_identity,X_14),X_14) )],[refute_0_89,refute_0_90]) ).
cnf(refute_0_92,plain,
add(multiply(additive_identity,additive_identity),X_14) = multiply(X_14,X_14),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_14),multiply(X_14,add(additive_identity,X_14))) )],[refute_0_88,refute_0_91]) ).
cnf(refute_0_93,plain,
add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity)) = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(multiply(X_57,additive_identity)))]]) ).
cnf(refute_0_94,plain,
( multiply(add(additive_identity,X_57),additive_identity) != add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity))
| add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity)) != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| multiply(add(additive_identity,X_57),additive_identity) = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(additive_identity,X_57),additive_identity),multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) ),[0],$fot(add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity)))]]) ).
cnf(refute_0_95,plain,
( multiply(add(additive_identity,X_57),additive_identity) != add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity))
| multiply(add(additive_identity,X_57),additive_identity) = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity)),multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) )],[refute_0_93,refute_0_94]) ).
cnf(refute_0_96,plain,
multiply(add(additive_identity,X_57),additive_identity) = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_57),additive_identity),add(multiply(additive_identity,additive_identity),multiply(X_57,additive_identity))) )],[refute_0_79,refute_0_95]) ).
cnf(refute_0_97,plain,
multiply(add(X_56,multiplicative_identity),X_58) = add(multiply(X_56,X_58),multiply(multiplicative_identity,X_58)),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(multiplicative_identity)),bind(Z,$fot(X_58))]]) ).
cnf(refute_0_98,plain,
multiply(multiplicative_identity,X_58) = X_58,
inference(subst,[],[multiplicative_id2:[bind(X,$fot(X_58))]]) ).
cnf(refute_0_99,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != add(multiply(X_56,X_58),multiply(multiplicative_identity,X_58))
| multiply(multiplicative_identity,X_58) != X_58
| multiply(add(X_56,multiplicative_identity),X_58) = add(multiply(X_56,X_58),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),add(multiply(X_56,X_58),multiply(multiplicative_identity,X_58))) ),[1,1],$fot(X_58)]]) ).
cnf(refute_0_100,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != add(multiply(X_56,X_58),multiply(multiplicative_identity,X_58))
| multiply(add(X_56,multiplicative_identity),X_58) = add(multiply(X_56,X_58),X_58) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_58),X_58) )],[refute_0_98,refute_0_99]) ).
cnf(refute_0_101,plain,
multiply(add(X_56,multiplicative_identity),X_58) = add(multiply(X_56,X_58),X_58),
inference(resolve,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),add(multiply(X_56,X_58),multiply(multiplicative_identity,X_58))) )],[refute_0_97,refute_0_100]) ).
cnf(refute_0_102,plain,
add(X_21,multiply(X_22,inverse(X_21))) = multiply(add(X_21,X_22),add(X_21,inverse(X_21))),
inference(subst,[],[distributivity2:[bind(X,$fot(X_21)),bind(Y,$fot(X_22)),bind(Z,$fot(inverse(X_21)))]]) ).
cnf(refute_0_103,plain,
add(X_21,inverse(X_21)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_21))]]) ).
cnf(refute_0_104,plain,
( add(X_21,multiply(X_22,inverse(X_21))) != multiply(add(X_21,X_22),add(X_21,inverse(X_21)))
| add(X_21,inverse(X_21)) != multiplicative_identity
| add(X_21,multiply(X_22,inverse(X_21))) = multiply(add(X_21,X_22),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_22,inverse(X_21))),multiply(add(X_21,X_22),add(X_21,inverse(X_21)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_105,plain,
( add(X_21,multiply(X_22,inverse(X_21))) != multiply(add(X_21,X_22),add(X_21,inverse(X_21)))
| add(X_21,multiply(X_22,inverse(X_21))) = multiply(add(X_21,X_22),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_21,inverse(X_21)),multiplicative_identity) )],[refute_0_103,refute_0_104]) ).
cnf(refute_0_106,plain,
add(X_21,multiply(X_22,inverse(X_21))) = multiply(add(X_21,X_22),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,inverse(X_21))),multiply(add(X_21,X_22),add(X_21,inverse(X_21)))) )],[refute_0_102,refute_0_105]) ).
cnf(refute_0_107,plain,
multiply(add(X_21,X_22),multiplicative_identity) = add(X_21,X_22),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_21,X_22)))]]) ).
cnf(refute_0_108,plain,
( multiply(add(X_21,X_22),multiplicative_identity) != add(X_21,X_22)
| add(X_21,multiply(X_22,inverse(X_21))) != multiply(add(X_21,X_22),multiplicative_identity)
| add(X_21,multiply(X_22,inverse(X_21))) = add(X_21,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_22,inverse(X_21))),multiply(add(X_21,X_22),multiplicative_identity)) ),[1],$fot(add(X_21,X_22))]]) ).
cnf(refute_0_109,plain,
( add(X_21,multiply(X_22,inverse(X_21))) != multiply(add(X_21,X_22),multiplicative_identity)
| add(X_21,multiply(X_22,inverse(X_21))) = add(X_21,X_22) ),
inference(resolve,[$cnf( $equal(multiply(add(X_21,X_22),multiplicative_identity),add(X_21,X_22)) )],[refute_0_107,refute_0_108]) ).
cnf(refute_0_110,plain,
add(X_21,multiply(X_22,inverse(X_21))) = add(X_21,X_22),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_22,inverse(X_21))),multiply(add(X_21,X_22),multiplicative_identity)) )],[refute_0_106,refute_0_109]) ).
cnf(refute_0_111,plain,
add(X_24,multiply(multiplicative_identity,inverse(X_24))) = add(X_24,multiplicative_identity),
inference(subst,[],[refute_0_110:[bind(X_21,$fot(X_24)),bind(X_22,$fot(multiplicative_identity))]]) ).
cnf(refute_0_112,plain,
multiply(multiplicative_identity,inverse(X_24)) = inverse(X_24),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(X_24)))]]) ).
cnf(refute_0_113,plain,
( multiply(multiplicative_identity,inverse(X_24)) != inverse(X_24)
| add(X_24,multiply(multiplicative_identity,inverse(X_24))) != add(X_24,multiplicative_identity)
| add(X_24,inverse(X_24)) = add(X_24,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_24,multiply(multiplicative_identity,inverse(X_24))),add(X_24,multiplicative_identity)) ),[0,1],$fot(inverse(X_24))]]) ).
cnf(refute_0_114,plain,
( add(X_24,multiply(multiplicative_identity,inverse(X_24))) != add(X_24,multiplicative_identity)
| add(X_24,inverse(X_24)) = add(X_24,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(X_24)),inverse(X_24)) )],[refute_0_112,refute_0_113]) ).
cnf(refute_0_115,plain,
add(X_24,inverse(X_24)) = add(X_24,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_24,multiply(multiplicative_identity,inverse(X_24))),add(X_24,multiplicative_identity)) )],[refute_0_111,refute_0_114]) ).
cnf(refute_0_116,plain,
add(X_24,inverse(X_24)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_117,plain,
( add(X_24,inverse(X_24)) != add(X_24,multiplicative_identity)
| add(X_24,inverse(X_24)) != multiplicative_identity
| multiplicative_identity = add(X_24,multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_24,inverse(X_24)),add(X_24,multiplicative_identity)) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_118,plain,
( add(X_24,inverse(X_24)) != add(X_24,multiplicative_identity)
| multiplicative_identity = add(X_24,multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_24,inverse(X_24)),multiplicative_identity) )],[refute_0_116,refute_0_117]) ).
cnf(refute_0_119,plain,
multiplicative_identity = add(X_24,multiplicative_identity),
inference(resolve,[$cnf( $equal(add(X_24,inverse(X_24)),add(X_24,multiplicative_identity)) )],[refute_0_115,refute_0_118]) ).
cnf(refute_0_120,plain,
( multiplicative_identity != add(X_24,multiplicative_identity)
| add(X_24,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_24,multiplicative_identity)))]]) ).
cnf(refute_0_121,plain,
add(X_24,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_24,multiplicative_identity)) )],[refute_0_119,refute_0_120]) ).
cnf(refute_0_122,plain,
add(X_56,multiplicative_identity) = multiplicative_identity,
inference(subst,[],[refute_0_121:[bind(X_24,$fot(X_56))]]) ).
cnf(refute_0_123,plain,
multiply(add(X_56,multiplicative_identity),X_58) = multiply(add(X_56,multiplicative_identity),X_58),
introduced(tautology,[refl,[$fot(multiply(add(X_56,multiplicative_identity),X_58))]]) ).
cnf(refute_0_124,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != multiply(add(X_56,multiplicative_identity),X_58)
| add(X_56,multiplicative_identity) != multiplicative_identity
| multiply(add(X_56,multiplicative_identity),X_58) = multiply(multiplicative_identity,X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),multiply(add(X_56,multiplicative_identity),X_58)) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_125,plain,
( add(X_56,multiplicative_identity) != multiplicative_identity
| multiply(add(X_56,multiplicative_identity),X_58) = multiply(multiplicative_identity,X_58) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),multiply(add(X_56,multiplicative_identity),X_58)) )],[refute_0_123,refute_0_124]) ).
cnf(refute_0_126,plain,
multiply(add(X_56,multiplicative_identity),X_58) = multiply(multiplicative_identity,X_58),
inference(resolve,[$cnf( $equal(add(X_56,multiplicative_identity),multiplicative_identity) )],[refute_0_122,refute_0_125]) ).
cnf(refute_0_127,plain,
( Y0 != X0
| Y0 != Z0
| X0 = Z0 ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z0) ),[0],$fot(X0)]]) ).
cnf(refute_0_128,plain,
( X0 != Y0
| Y0 != Z0
| X0 = Z0 ),
inference(resolve,[$cnf( $equal(Y0,X0) )],[refute_0_2,refute_0_127]) ).
cnf(refute_0_129,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != multiply(multiplicative_identity,X_58)
| multiply(multiplicative_identity,X_58) != X_58
| multiply(add(X_56,multiplicative_identity),X_58) = X_58 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_56,multiplicative_identity),X_58))),bind(Y0,$fot(multiply(multiplicative_identity,X_58))),bind(Z0,$fot(X_58))]]) ).
cnf(refute_0_130,plain,
( multiply(multiplicative_identity,X_58) != X_58
| multiply(add(X_56,multiplicative_identity),X_58) = X_58 ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),multiply(multiplicative_identity,X_58)) )],[refute_0_126,refute_0_129]) ).
cnf(refute_0_131,plain,
multiply(add(X_56,multiplicative_identity),X_58) = X_58,
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,X_58),X_58) )],[refute_0_98,refute_0_130]) ).
cnf(refute_0_132,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != X_58
| multiply(add(X_56,multiplicative_identity),X_58) != add(multiply(X_56,X_58),X_58)
| X_58 = add(multiply(X_56,X_58),X_58) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),add(multiply(X_56,X_58),X_58)) ),[0],$fot(X_58)]]) ).
cnf(refute_0_133,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != add(multiply(X_56,X_58),X_58)
| X_58 = add(multiply(X_56,X_58),X_58) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),X_58) )],[refute_0_131,refute_0_132]) ).
cnf(refute_0_134,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),add(Z,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Z))]]) ).
cnf(refute_0_135,plain,
add(X_24,multiply(X_24,inverse(X_24))) = add(X_24,X_24),
inference(subst,[],[refute_0_110:[bind(X_21,$fot(X_24)),bind(X_22,$fot(X_24))]]) ).
cnf(refute_0_136,plain,
multiply(X_24,inverse(X_24)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_137,plain,
( multiply(X_24,inverse(X_24)) != additive_identity
| add(X_24,multiply(X_24,inverse(X_24))) != add(X_24,X_24)
| add(X_24,additive_identity) = add(X_24,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_24,multiply(X_24,inverse(X_24))),add(X_24,X_24)) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_138,plain,
( add(X_24,multiply(X_24,inverse(X_24))) != add(X_24,X_24)
| add(X_24,additive_identity) = add(X_24,X_24) ),
inference(resolve,[$cnf( $equal(multiply(X_24,inverse(X_24)),additive_identity) )],[refute_0_136,refute_0_137]) ).
cnf(refute_0_139,plain,
add(X_24,additive_identity) = add(X_24,X_24),
inference(resolve,[$cnf( $equal(add(X_24,multiply(X_24,inverse(X_24))),add(X_24,X_24)) )],[refute_0_135,refute_0_138]) ).
cnf(refute_0_140,plain,
add(X_24,additive_identity) = X_24,
inference(subst,[],[additive_id1:[bind(X,$fot(X_24))]]) ).
cnf(refute_0_141,plain,
( add(X_24,additive_identity) != X_24
| add(X_24,additive_identity) != add(X_24,X_24)
| X_24 = add(X_24,X_24) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_24,additive_identity),add(X_24,X_24)) ),[0],$fot(X_24)]]) ).
cnf(refute_0_142,plain,
( add(X_24,additive_identity) != add(X_24,X_24)
| X_24 = add(X_24,X_24) ),
inference(resolve,[$cnf( $equal(add(X_24,additive_identity),X_24) )],[refute_0_140,refute_0_141]) ).
cnf(refute_0_143,plain,
X_24 = add(X_24,X_24),
inference(resolve,[$cnf( $equal(add(X_24,additive_identity),add(X_24,X_24)) )],[refute_0_139,refute_0_142]) ).
cnf(refute_0_144,plain,
Z = add(Z,Z),
inference(subst,[],[refute_0_143:[bind(X_24,$fot(Z))]]) ).
cnf(refute_0_145,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_146,plain,
add(Z,Z) = Z,
inference(resolve,[$cnf( $equal(Z,add(Z,Z)) )],[refute_0_144,refute_0_145]) ).
cnf(refute_0_147,plain,
( add(Z,Z) != Z
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),add(Z,Z))
| add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) ),[1,1],$fot(Z)]]) ).
cnf(refute_0_148,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( $equal(add(Z,Z),Z) )],[refute_0_146,refute_0_147]) ).
cnf(refute_0_149,plain,
add(Z,multiply(Y,Z)) = multiply(add(Z,Y),Z),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),add(Z,Z))) )],[refute_0_134,refute_0_148]) ).
cnf(refute_0_150,plain,
multiply(add(Z,Y),Z) = multiply(Z,add(Z,Y)),
inference(subst,[],[refute_0_4:[bind(X,$fot(Z)),bind(Y,$fot(add(Z,Y)))]]) ).
cnf(refute_0_151,plain,
( multiply(add(Z,Y),Z) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) ),[1],$fot(multiply(Z,add(Z,Y)))]]) ).
cnf(refute_0_152,plain,
( add(Z,multiply(Y,Z)) != multiply(add(Z,Y),Z)
| add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)) ),
inference(resolve,[$cnf( $equal(multiply(add(Z,Y),Z),multiply(Z,add(Z,Y))) )],[refute_0_150,refute_0_151]) ).
cnf(refute_0_153,plain,
add(Z,multiply(Y,Z)) = multiply(Z,add(Z,Y)),
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(add(Z,Y),Z)) )],[refute_0_149,refute_0_152]) ).
cnf(refute_0_154,plain,
add(X_58,multiply(X_56,X_58)) = multiply(X_58,add(X_58,X_56)),
inference(subst,[],[refute_0_153:[bind(Y,$fot(X_56)),bind(Z,$fot(X_58))]]) ).
cnf(refute_0_155,plain,
add(multiply(X_56,X_58),X_58) = add(X_58,multiply(X_56,X_58)),
inference(subst,[],[refute_0_36:[bind(X,$fot(X_58)),bind(Y,$fot(multiply(X_56,X_58)))]]) ).
cnf(refute_0_156,plain,
( add(X_58,multiply(X_56,X_58)) != multiply(X_58,add(X_58,X_56))
| add(multiply(X_56,X_58),X_58) != add(X_58,multiply(X_56,X_58))
| add(multiply(X_56,X_58),X_58) = multiply(X_58,add(X_58,X_56)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_56,X_58),X_58))),bind(Y0,$fot(add(X_58,multiply(X_56,X_58)))),bind(Z0,$fot(multiply(X_58,add(X_58,X_56))))]]) ).
cnf(refute_0_157,plain,
( add(X_58,multiply(X_56,X_58)) != multiply(X_58,add(X_58,X_56))
| add(multiply(X_56,X_58),X_58) = multiply(X_58,add(X_58,X_56)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_58),X_58),add(X_58,multiply(X_56,X_58))) )],[refute_0_155,refute_0_156]) ).
cnf(refute_0_158,plain,
add(multiply(X_56,X_58),X_58) = multiply(X_58,add(X_58,X_56)),
inference(resolve,[$cnf( $equal(add(X_58,multiply(X_56,X_58)),multiply(X_58,add(X_58,X_56))) )],[refute_0_154,refute_0_157]) ).
cnf(refute_0_159,plain,
( X_58 != add(multiply(X_56,X_58),X_58)
| add(multiply(X_56,X_58),X_58) != multiply(X_58,add(X_58,X_56))
| X_58 = multiply(X_58,add(X_58,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(X_58,multiply(X_58,add(X_58,X_56))) ),[0],$fot(add(multiply(X_56,X_58),X_58))]]) ).
cnf(refute_0_160,plain,
( X_58 != add(multiply(X_56,X_58),X_58)
| X_58 = multiply(X_58,add(X_58,X_56)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_58),X_58),multiply(X_58,add(X_58,X_56))) )],[refute_0_158,refute_0_159]) ).
cnf(refute_0_161,plain,
( multiply(add(X_56,multiplicative_identity),X_58) != add(multiply(X_56,X_58),X_58)
| X_58 = multiply(X_58,add(X_58,X_56)) ),
inference(resolve,[$cnf( $equal(X_58,add(multiply(X_56,X_58),X_58)) )],[refute_0_133,refute_0_160]) ).
cnf(refute_0_162,plain,
X_58 = multiply(X_58,add(X_58,X_56)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,multiplicative_identity),X_58),add(multiply(X_56,X_58),X_58)) )],[refute_0_101,refute_0_161]) ).
cnf(refute_0_163,plain,
( X_58 != multiply(X_58,add(X_58,X_56))
| multiply(X_58,add(X_58,X_56)) = X_58 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_58)),bind(Y0,$fot(multiply(X_58,add(X_58,X_56))))]]) ).
cnf(refute_0_164,plain,
multiply(X_58,add(X_58,X_56)) = X_58,
inference(resolve,[$cnf( $equal(X_58,multiply(X_58,add(X_58,X_56))) )],[refute_0_162,refute_0_163]) ).
cnf(refute_0_165,plain,
multiply(additive_identity,add(additive_identity,X_57)) = additive_identity,
inference(subst,[],[refute_0_164:[bind(X_56,$fot(X_57)),bind(X_58,$fot(additive_identity))]]) ).
cnf(refute_0_166,plain,
add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).
cnf(refute_0_167,plain,
add(X_21,multiply(inverse(X_21),X_23)) = multiply(add(X_21,inverse(X_21)),add(X_21,X_23)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_21)),bind(Y,$fot(inverse(X_21))),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_168,plain,
( add(X_21,multiply(inverse(X_21),X_23)) != multiply(add(X_21,inverse(X_21)),add(X_21,X_23))
| add(X_21,inverse(X_21)) != multiplicative_identity
| add(X_21,multiply(inverse(X_21),X_23)) = multiply(multiplicative_identity,add(X_21,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(inverse(X_21),X_23)),multiply(add(X_21,inverse(X_21)),add(X_21,X_23))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_169,plain,
( add(X_21,multiply(inverse(X_21),X_23)) != multiply(add(X_21,inverse(X_21)),add(X_21,X_23))
| add(X_21,multiply(inverse(X_21),X_23)) = multiply(multiplicative_identity,add(X_21,X_23)) ),
inference(resolve,[$cnf( $equal(add(X_21,inverse(X_21)),multiplicative_identity) )],[refute_0_103,refute_0_168]) ).
cnf(refute_0_170,plain,
add(X_21,multiply(inverse(X_21),X_23)) = multiply(multiplicative_identity,add(X_21,X_23)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(inverse(X_21),X_23)),multiply(add(X_21,inverse(X_21)),add(X_21,X_23))) )],[refute_0_167,refute_0_169]) ).
cnf(refute_0_171,plain,
multiply(multiplicative_identity,add(X_21,X_23)) = add(X_21,X_23),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_21,X_23)))]]) ).
cnf(refute_0_172,plain,
( multiply(multiplicative_identity,add(X_21,X_23)) != add(X_21,X_23)
| add(X_21,multiply(inverse(X_21),X_23)) != multiply(multiplicative_identity,add(X_21,X_23))
| add(X_21,multiply(inverse(X_21),X_23)) = add(X_21,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(inverse(X_21),X_23)),multiply(multiplicative_identity,add(X_21,X_23))) ),[1],$fot(add(X_21,X_23))]]) ).
cnf(refute_0_173,plain,
( add(X_21,multiply(inverse(X_21),X_23)) != multiply(multiplicative_identity,add(X_21,X_23))
| add(X_21,multiply(inverse(X_21),X_23)) = add(X_21,X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_21,X_23)),add(X_21,X_23)) )],[refute_0_171,refute_0_172]) ).
cnf(refute_0_174,plain,
add(X_21,multiply(inverse(X_21),X_23)) = add(X_21,X_23),
inference(resolve,[$cnf( $equal(add(X_21,multiply(inverse(X_21),X_23)),multiply(multiplicative_identity,add(X_21,X_23))) )],[refute_0_170,refute_0_173]) ).
cnf(refute_0_175,plain,
add(X_29,multiply(inverse(X_29),inverse(inverse(X_29)))) = add(X_29,inverse(inverse(X_29))),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X_29)),bind(X_23,$fot(inverse(inverse(X_29))))]]) ).
cnf(refute_0_176,plain,
multiply(inverse(X_29),inverse(inverse(X_29))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(inverse(X_29)))]]) ).
cnf(refute_0_177,plain,
( multiply(inverse(X_29),inverse(inverse(X_29))) != additive_identity
| add(X_29,multiply(inverse(X_29),inverse(inverse(X_29)))) != add(X_29,inverse(inverse(X_29)))
| add(X_29,additive_identity) = add(X_29,inverse(inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_29,multiply(inverse(X_29),inverse(inverse(X_29)))),add(X_29,inverse(inverse(X_29)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_178,plain,
( add(X_29,multiply(inverse(X_29),inverse(inverse(X_29)))) != add(X_29,inverse(inverse(X_29)))
| add(X_29,additive_identity) = add(X_29,inverse(inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),inverse(inverse(X_29))),additive_identity) )],[refute_0_176,refute_0_177]) ).
cnf(refute_0_179,plain,
add(X_29,additive_identity) = add(X_29,inverse(inverse(X_29))),
inference(resolve,[$cnf( $equal(add(X_29,multiply(inverse(X_29),inverse(inverse(X_29)))),add(X_29,inverse(inverse(X_29)))) )],[refute_0_175,refute_0_178]) ).
cnf(refute_0_180,plain,
add(X_29,additive_identity) = X_29,
inference(subst,[],[additive_id1:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_181,plain,
( add(X_29,additive_identity) != X_29
| add(X_29,additive_identity) != add(X_29,inverse(inverse(X_29)))
| X_29 = add(X_29,inverse(inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_29,additive_identity),add(X_29,inverse(inverse(X_29)))) ),[0],$fot(X_29)]]) ).
cnf(refute_0_182,plain,
( add(X_29,additive_identity) != add(X_29,inverse(inverse(X_29)))
| X_29 = add(X_29,inverse(inverse(X_29))) ),
inference(resolve,[$cnf( $equal(add(X_29,additive_identity),X_29) )],[refute_0_180,refute_0_181]) ).
cnf(refute_0_183,plain,
X_29 = add(X_29,inverse(inverse(X_29))),
inference(resolve,[$cnf( $equal(add(X_29,additive_identity),add(X_29,inverse(inverse(X_29)))) )],[refute_0_179,refute_0_182]) ).
cnf(refute_0_184,plain,
multiply(X_10,additive_identity) = add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),
inference(subst,[],[refute_0_183:[bind(X_29,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_185,plain,
( multiply(X_10,additive_identity) != add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))
| add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(X_10,additive_identity) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,additive_identity))),bind(Y0,$fot(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))))]]) ).
cnf(refute_0_186,plain,
add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) = multiply(X_10,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_184,refute_0_185]) ).
cnf(refute_0_187,plain,
( add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(X_10,additive_identity)
| add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
| multiply(X_10,additive_identity) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) ),[0],$fot(multiply(X_10,additive_identity))]]) ).
cnf(refute_0_188,plain,
( add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
| multiply(X_10,additive_identity) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),multiply(X_10,additive_identity)) )],[refute_0_186,refute_0_187]) ).
cnf(refute_0_189,plain,
multiply(X_10,additive_identity) = multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(inverse(multiply(X_10,additive_identity)))),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) )],[refute_0_166,refute_0_188]) ).
cnf(refute_0_190,plain,
add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
inference(subst,[],[refute_0_36:[bind(X,$fot(multiply(additive_identity,X_10))),bind(Y,$fot(inverse(inverse(multiply(X_10,additive_identity)))))]]) ).
cnf(refute_0_191,plain,
add(X,multiply(additive_identity,X_18)) = add(multiply(additive_identity,X_18),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,X_18)))]]) ).
cnf(refute_0_192,plain,
add(multiply(additive_identity,X_18),X) = multiply(X,add(X_18,X)),
inference(subst,[],[refute_0_72:[bind(X_11,$fot(X_18)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_193,plain,
( add(X,multiply(additive_identity,X_18)) != add(multiply(additive_identity,X_18),X)
| add(multiply(additive_identity,X_18),X) != multiply(X,add(X_18,X))
| add(X,multiply(additive_identity,X_18)) = multiply(X,add(X_18,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,X_18)),multiply(X,add(X_18,X))) ),[0],$fot(add(multiply(additive_identity,X_18),X))]]) ).
cnf(refute_0_194,plain,
( add(X,multiply(additive_identity,X_18)) != add(multiply(additive_identity,X_18),X)
| add(X,multiply(additive_identity,X_18)) = multiply(X,add(X_18,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X),multiply(X,add(X_18,X))) )],[refute_0_192,refute_0_193]) ).
cnf(refute_0_195,plain,
add(X,multiply(additive_identity,X_18)) = multiply(X,add(X_18,X)),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_18)),add(multiply(additive_identity,X_18),X)) )],[refute_0_191,refute_0_194]) ).
cnf(refute_0_196,plain,
( add(X,multiply(additive_identity,X_18)) != multiply(X,add(X_18,X))
| multiply(X,add(X_18,X)) = add(X,multiply(additive_identity,X_18)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(additive_identity,X_18)))),bind(Y0,$fot(multiply(X,add(X_18,X))))]]) ).
cnf(refute_0_197,plain,
multiply(X,add(X_18,X)) = add(X,multiply(additive_identity,X_18)),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,X_18)),multiply(X,add(X_18,X))) )],[refute_0_195,refute_0_196]) ).
cnf(refute_0_198,plain,
multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) = add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_197:[bind(X,$fot(inverse(inverse(multiply(X_10,additive_identity))))),bind(X_18,$fot(X_10))]]) ).
cnf(refute_0_199,plain,
( multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) != add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10))
| add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))))),bind(Y0,$fot(add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)))),bind(Z0,$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))))]]) ).
cnf(refute_0_200,plain,
( add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10))) )],[refute_0_198,refute_0_199]) ).
cnf(refute_0_201,plain,
multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(multiply(X_10,additive_identity))),multiply(additive_identity,X_10)),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_190,refute_0_200]) ).
cnf(refute_0_202,plain,
( multiply(X_10,additive_identity) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
| multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) ),[0],$fot(multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))))]]) ).
cnf(refute_0_203,plain,
( multiply(X_10,additive_identity) != multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))
| multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity))))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_201,refute_0_202]) ).
cnf(refute_0_204,plain,
multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(inverse(inverse(multiply(X_10,additive_identity))),add(X_10,inverse(inverse(multiply(X_10,additive_identity)))))) )],[refute_0_189,refute_0_203]) ).
cnf(refute_0_205,plain,
add(inverse(inverse(X_37)),multiply(X_37,inverse(X_37))) = add(X_37,inverse(inverse(X_37))),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_37)),bind(X_11,$fot(inverse(X_37)))]]) ).
cnf(refute_0_206,plain,
multiply(X_37,inverse(X_37)) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(X_37))]]) ).
cnf(refute_0_207,plain,
( multiply(X_37,inverse(X_37)) != additive_identity
| add(inverse(inverse(X_37)),multiply(X_37,inverse(X_37))) != add(X_37,inverse(inverse(X_37)))
| add(inverse(inverse(X_37)),additive_identity) = add(X_37,inverse(inverse(X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_37)),multiply(X_37,inverse(X_37))),add(X_37,inverse(inverse(X_37)))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_208,plain,
( add(inverse(inverse(X_37)),multiply(X_37,inverse(X_37))) != add(X_37,inverse(inverse(X_37)))
| add(inverse(inverse(X_37)),additive_identity) = add(X_37,inverse(inverse(X_37))) ),
inference(resolve,[$cnf( $equal(multiply(X_37,inverse(X_37)),additive_identity) )],[refute_0_206,refute_0_207]) ).
cnf(refute_0_209,plain,
add(inverse(inverse(X_37)),additive_identity) = add(X_37,inverse(inverse(X_37))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_37)),multiply(X_37,inverse(X_37))),add(X_37,inverse(inverse(X_37)))) )],[refute_0_205,refute_0_208]) ).
cnf(refute_0_210,plain,
add(inverse(inverse(X_37)),additive_identity) = inverse(inverse(X_37)),
inference(subst,[],[additive_id1:[bind(X,$fot(inverse(inverse(X_37))))]]) ).
cnf(refute_0_211,plain,
( add(inverse(inverse(X_37)),additive_identity) != add(X_37,inverse(inverse(X_37)))
| add(inverse(inverse(X_37)),additive_identity) != inverse(inverse(X_37))
| inverse(inverse(X_37)) = add(X_37,inverse(inverse(X_37))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_37)),additive_identity),add(X_37,inverse(inverse(X_37)))) ),[0],$fot(inverse(inverse(X_37)))]]) ).
cnf(refute_0_212,plain,
( add(inverse(inverse(X_37)),additive_identity) != add(X_37,inverse(inverse(X_37)))
| inverse(inverse(X_37)) = add(X_37,inverse(inverse(X_37))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_37)),additive_identity),inverse(inverse(X_37))) )],[refute_0_210,refute_0_211]) ).
cnf(refute_0_213,plain,
( X_29 != add(X_29,inverse(inverse(X_29)))
| add(X_29,inverse(inverse(X_29))) = X_29 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_29)),bind(Y0,$fot(add(X_29,inverse(inverse(X_29)))))]]) ).
cnf(refute_0_214,plain,
add(X_29,inverse(inverse(X_29))) = X_29,
inference(resolve,[$cnf( $equal(X_29,add(X_29,inverse(inverse(X_29)))) )],[refute_0_183,refute_0_213]) ).
cnf(refute_0_215,plain,
add(X_37,inverse(inverse(X_37))) = X_37,
inference(subst,[],[refute_0_214:[bind(X_29,$fot(X_37))]]) ).
cnf(refute_0_216,plain,
( add(X_37,inverse(inverse(X_37))) != X_37
| inverse(inverse(X_37)) != add(X_37,inverse(inverse(X_37)))
| inverse(inverse(X_37)) = X_37 ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(X_37)),add(X_37,inverse(inverse(X_37)))) ),[1],$fot(X_37)]]) ).
cnf(refute_0_217,plain,
( inverse(inverse(X_37)) != add(X_37,inverse(inverse(X_37)))
| inverse(inverse(X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(add(X_37,inverse(inverse(X_37))),X_37) )],[refute_0_215,refute_0_216]) ).
cnf(refute_0_218,plain,
( add(inverse(inverse(X_37)),additive_identity) != add(X_37,inverse(inverse(X_37)))
| inverse(inverse(X_37)) = X_37 ),
inference(resolve,[$cnf( $equal(inverse(inverse(X_37)),add(X_37,inverse(inverse(X_37)))) )],[refute_0_212,refute_0_217]) ).
cnf(refute_0_219,plain,
inverse(inverse(X_37)) = X_37,
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_37)),additive_identity),add(X_37,inverse(inverse(X_37)))) )],[refute_0_209,refute_0_218]) ).
cnf(refute_0_220,plain,
inverse(inverse(multiply(X_10,additive_identity))) = multiply(X_10,additive_identity),
inference(subst,[],[refute_0_219:[bind(X_37,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_221,plain,
add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))))]]) ).
cnf(refute_0_222,plain,
( add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| inverse(inverse(multiply(X_10,additive_identity))) != multiply(X_10,additive_identity)
| add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) ),[1,1],$fot(multiply(X_10,additive_identity))]]) ).
cnf(refute_0_223,plain,
( inverse(inverse(multiply(X_10,additive_identity))) != multiply(X_10,additive_identity)
| add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_221,refute_0_222]) ).
cnf(refute_0_224,plain,
add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)),
inference(resolve,[$cnf( $equal(inverse(inverse(multiply(X_10,additive_identity))),multiply(X_10,additive_identity)) )],[refute_0_220,refute_0_223]) ).
cnf(refute_0_225,plain,
( multiply(X_10,additive_identity) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))) != add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))
| multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))) ),[0],$fot(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))))]]) ).
cnf(refute_0_226,plain,
( multiply(X_10,additive_identity) != add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))
| multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity)))),add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))) )],[refute_0_224,refute_0_225]) ).
cnf(refute_0_227,plain,
multiply(X_10,additive_identity) = add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),add(multiply(additive_identity,X_10),inverse(inverse(multiply(X_10,additive_identity))))) )],[refute_0_204,refute_0_226]) ).
cnf(refute_0_228,plain,
( X_24 != add(X_24,X_24)
| add(X_24,X_24) = X_24 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_24)),bind(Y0,$fot(add(X_24,X_24)))]]) ).
cnf(refute_0_229,plain,
add(X_24,X_24) = X_24,
inference(resolve,[$cnf( $equal(X_24,add(X_24,X_24)) )],[refute_0_143,refute_0_228]) ).
cnf(refute_0_230,plain,
add(X_10,X_10) = X_10,
inference(subst,[],[refute_0_229:[bind(X_24,$fot(X_10))]]) ).
cnf(refute_0_231,plain,
multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,add(X_10,X_10)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_10,X_10)))]]) ).
cnf(refute_0_232,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,add(X_10,X_10))
| add(X_10,X_10) != X_10
| multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,add(X_10,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_233,plain,
( add(X_10,X_10) != X_10
| multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,add(X_10,X_10))) )],[refute_0_231,refute_0_232]) ).
cnf(refute_0_234,plain,
multiply(additive_identity,add(X_10,X_10)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(add(X_10,X_10),X_10) )],[refute_0_230,refute_0_233]) ).
cnf(refute_0_235,plain,
add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(multiply(X_45,additive_identity),add(X_11,multiply(X_45,additive_identity))),
inference(subst,[],[refute_0_72:[bind(X_12,$fot(multiply(X_45,additive_identity)))]]) ).
cnf(refute_0_236,plain,
add(X,multiply(X_13,additive_identity)) = add(multiply(X_13,additive_identity),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(X_13,additive_identity)))]]) ).
cnf(refute_0_237,plain,
add(multiply(X_13,additive_identity),X) = multiply(X,add(X_13,X)),
inference(subst,[],[refute_0_87:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_238,plain,
( add(X,multiply(X_13,additive_identity)) != add(multiply(X_13,additive_identity),X)
| add(multiply(X_13,additive_identity),X) != multiply(X,add(X_13,X))
| add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(X_13,additive_identity)),multiply(X,add(X_13,X))) ),[0],$fot(add(multiply(X_13,additive_identity),X))]]) ).
cnf(refute_0_239,plain,
( add(X,multiply(X_13,additive_identity)) != add(multiply(X_13,additive_identity),X)
| add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X),multiply(X,add(X_13,X))) )],[refute_0_237,refute_0_238]) ).
cnf(refute_0_240,plain,
add(X,multiply(X_13,additive_identity)) = multiply(X,add(X_13,X)),
inference(resolve,[$cnf( $equal(add(X,multiply(X_13,additive_identity)),add(multiply(X_13,additive_identity),X)) )],[refute_0_236,refute_0_239]) ).
cnf(refute_0_241,plain,
add(X_11,multiply(X_45,additive_identity)) = multiply(X_11,add(X_45,X_11)),
inference(subst,[],[refute_0_240:[bind(X,$fot(X_11)),bind(X_13,$fot(X_45))]]) ).
cnf(refute_0_242,plain,
( add(X_11,multiply(X_45,additive_identity)) != multiply(X_11,add(X_45,X_11))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) != multiply(multiply(X_45,additive_identity),add(X_11,multiply(X_45,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)),multiply(multiply(X_45,additive_identity),add(X_11,multiply(X_45,additive_identity)))) ),[1,1],$fot(multiply(X_11,add(X_45,X_11)))]]) ).
cnf(refute_0_243,plain,
( add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) != multiply(multiply(X_45,additive_identity),add(X_11,multiply(X_45,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(X_45,additive_identity)),multiply(X_11,add(X_45,X_11))) )],[refute_0_241,refute_0_242]) ).
cnf(refute_0_244,plain,
add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)),multiply(multiply(X_45,additive_identity),add(X_11,multiply(X_45,additive_identity)))) )],[refute_0_235,refute_0_243]) ).
cnf(refute_0_245,plain,
add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(multiply(X_45,additive_identity),add(X_13,multiply(X_45,additive_identity))),
inference(subst,[],[refute_0_240:[bind(X,$fot(multiply(X_45,additive_identity)))]]) ).
cnf(refute_0_246,plain,
add(X_13,multiply(X_45,additive_identity)) = multiply(X_13,add(X_45,X_13)),
inference(subst,[],[refute_0_240:[bind(X,$fot(X_13)),bind(X_13,$fot(X_45))]]) ).
cnf(refute_0_247,plain,
( add(X_13,multiply(X_45,additive_identity)) != multiply(X_13,add(X_45,X_13))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(multiply(X_45,additive_identity),add(X_13,multiply(X_45,additive_identity)))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(multiply(X_45,additive_identity),add(X_13,multiply(X_45,additive_identity)))) ),[1,1],$fot(multiply(X_13,add(X_45,X_13)))]]) ).
cnf(refute_0_248,plain,
( add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(multiply(X_45,additive_identity),add(X_13,multiply(X_45,additive_identity)))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) ),
inference(resolve,[$cnf( $equal(add(X_13,multiply(X_45,additive_identity)),multiply(X_13,add(X_45,X_13))) )],[refute_0_246,refute_0_247]) ).
cnf(refute_0_249,plain,
add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))),
inference(resolve,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(multiply(X_45,additive_identity),add(X_13,multiply(X_45,additive_identity)))) )],[refute_0_245,refute_0_248]) ).
cnf(refute_0_250,plain,
multiply(add(X_45,X_13),additive_identity) = multiply(additive_identity,add(X_45,X_13)),
inference(subst,[],[refute_0_4:[bind(X,$fot(additive_identity)),bind(Y,$fot(add(X_45,X_13)))]]) ).
cnf(refute_0_251,plain,
( multiply(add(X,Y),Z) != add(multiply(X,Z),multiply(Y,Z))
| add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X,Y),Z))),bind(Y0,$fot(add(multiply(X,Z),multiply(Y,Z))))]]) ).
cnf(refute_0_252,plain,
add(multiply(X,Z),multiply(Y,Z)) = multiply(add(X,Y),Z),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),Z),add(multiply(X,Z),multiply(Y,Z))) )],[distributivity3,refute_0_251]) ).
cnf(refute_0_253,plain,
add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(add(X_45,X_13),additive_identity),
inference(subst,[],[refute_0_252:[bind(X,$fot(X_45)),bind(Y,$fot(X_13)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_254,plain,
( multiply(add(X_45,X_13),additive_identity) != multiply(additive_identity,add(X_45,X_13))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(add(X_45,X_13),additive_identity)
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(additive_identity,add(X_45,X_13)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)))),bind(Y0,$fot(multiply(add(X_45,X_13),additive_identity))),bind(Z0,$fot(multiply(additive_identity,add(X_45,X_13))))]]) ).
cnf(refute_0_255,plain,
( multiply(add(X_45,X_13),additive_identity) != multiply(additive_identity,add(X_45,X_13))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(additive_identity,add(X_45,X_13)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(add(X_45,X_13),additive_identity)) )],[refute_0_253,refute_0_254]) ).
cnf(refute_0_256,plain,
add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) = multiply(additive_identity,add(X_45,X_13)),
inference(resolve,[$cnf( $equal(multiply(add(X_45,X_13),additive_identity),multiply(additive_identity,add(X_45,X_13))) )],[refute_0_250,refute_0_255]) ).
cnf(refute_0_257,plain,
( add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))
| add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(additive_identity,add(X_45,X_13))
| multiply(additive_identity,add(X_45,X_13)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))) ),[0],$fot(multiply(additive_identity,add(X_45,X_13)))]]) ).
cnf(refute_0_258,plain,
( add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)) != multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))
| multiply(additive_identity,add(X_45,X_13)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(additive_identity,add(X_45,X_13))) )],[refute_0_256,refute_0_257]) ).
cnf(refute_0_259,plain,
multiply(additive_identity,add(X_45,X_13)) = multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))),
inference(resolve,[$cnf( $equal(add(multiply(X_45,additive_identity),multiply(X_13,additive_identity)),multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))) )],[refute_0_249,refute_0_258]) ).
cnf(refute_0_260,plain,
( multiply(additive_identity,add(X_45,X_13)) != multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))
| multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) = multiply(additive_identity,add(X_45,X_13)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,add(X_45,X_13)))),bind(Y0,$fot(multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))))]]) ).
cnf(refute_0_261,plain,
multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13))) = multiply(additive_identity,add(X_45,X_13)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_45,X_13)),multiply(multiply(X_45,additive_identity),multiply(X_13,add(X_45,X_13)))) )],[refute_0_259,refute_0_260]) ).
cnf(refute_0_262,plain,
multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))) = multiply(additive_identity,add(X_45,X_11)),
inference(subst,[],[refute_0_261:[bind(X_13,$fot(X_11))]]) ).
cnf(refute_0_263,plain,
( multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))) != multiply(additive_identity,add(X_45,X_11))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) != multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11)))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(additive_identity,add(X_45,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)),multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11)))) ),[1],$fot(multiply(additive_identity,add(X_45,X_11)))]]) ).
cnf(refute_0_264,plain,
( add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) != multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11)))
| add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(additive_identity,add(X_45,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11))),multiply(additive_identity,add(X_45,X_11))) )],[refute_0_262,refute_0_263]) ).
cnf(refute_0_265,plain,
add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)) = multiply(additive_identity,add(X_45,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(X_45,additive_identity)),multiply(multiply(X_45,additive_identity),multiply(X_11,add(X_45,X_11)))) )],[refute_0_244,refute_0_264]) ).
cnf(refute_0_266,plain,
add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) = multiply(additive_identity,add(X_10,X_10)),
inference(subst,[],[refute_0_265:[bind(X_11,$fot(X_10)),bind(X_45,$fot(X_10))]]) ).
cnf(refute_0_267,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,X_10)
| add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) != multiply(additive_identity,add(X_10,X_10))
| add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)))),bind(Y0,$fot(multiply(additive_identity,add(X_10,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_268,plain,
( multiply(additive_identity,add(X_10,X_10)) != multiply(additive_identity,X_10)
| add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)),multiply(additive_identity,add(X_10,X_10))) )],[refute_0_266,refute_0_267]) ).
cnf(refute_0_269,plain,
add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_10,X_10)),multiply(additive_identity,X_10)) )],[refute_0_234,refute_0_268]) ).
cnf(refute_0_270,plain,
( multiply(X_10,additive_identity) != add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))
| add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) ),[0],$fot(add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_271,plain,
( multiply(X_10,additive_identity) != add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_10),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) )],[refute_0_269,refute_0_270]) ).
cnf(refute_0_272,plain,
multiply(X_10,additive_identity) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),add(multiply(additive_identity,X_10),multiply(X_10,additive_identity))) )],[refute_0_227,refute_0_271]) ).
cnf(refute_0_273,plain,
multiply(add(additive_identity,X_57),additive_identity) = multiply(additive_identity,add(additive_identity,X_57)),
inference(subst,[],[refute_0_272:[bind(X_10,$fot(add(additive_identity,X_57)))]]) ).
cnf(refute_0_274,plain,
( multiply(add(additive_identity,X_57),additive_identity) != multiply(additive_identity,add(additive_identity,X_57))
| multiply(additive_identity,add(additive_identity,X_57)) != additive_identity
| multiply(add(additive_identity,X_57),additive_identity) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(additive_identity,X_57),additive_identity))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_57)))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_275,plain,
( multiply(additive_identity,add(additive_identity,X_57)) != additive_identity
| multiply(add(additive_identity,X_57),additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_57),additive_identity),multiply(additive_identity,add(additive_identity,X_57))) )],[refute_0_273,refute_0_274]) ).
cnf(refute_0_276,plain,
multiply(add(additive_identity,X_57),additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_57)),additive_identity) )],[refute_0_165,refute_0_275]) ).
cnf(refute_0_277,plain,
( multiply(add(additive_identity,X_57),additive_identity) != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| multiply(add(additive_identity,X_57),additive_identity) != additive_identity
| additive_identity = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(additive_identity,X_57),additive_identity),multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_278,plain,
( multiply(add(additive_identity,X_57),additive_identity) != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| additive_identity = multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_57),additive_identity),additive_identity) )],[refute_0_276,refute_0_277]) ).
cnf(refute_0_279,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_280,plain,
add(X,multiply(additive_identity,additive_identity)) = add(multiply(additive_identity,additive_identity),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_281,plain,
add(multiply(additive_identity,additive_identity),X) = multiply(X,X),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(X))]]) ).
cnf(refute_0_282,plain,
( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
| add(multiply(additive_identity,additive_identity),X) != multiply(X,X)
| add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(additive_identity,additive_identity)),multiply(X,X)) ),[0],$fot(add(multiply(additive_identity,additive_identity),X))]]) ).
cnf(refute_0_283,plain,
( add(X,multiply(additive_identity,additive_identity)) != add(multiply(additive_identity,additive_identity),X)
| add(X,multiply(additive_identity,additive_identity)) = multiply(X,X) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X),multiply(X,X)) )],[refute_0_281,refute_0_282]) ).
cnf(refute_0_284,plain,
add(X,multiply(additive_identity,additive_identity)) = multiply(X,X),
inference(resolve,[$cnf( $equal(add(X,multiply(additive_identity,additive_identity)),add(multiply(additive_identity,additive_identity),X)) )],[refute_0_280,refute_0_283]) ).
cnf(refute_0_285,plain,
add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) = multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),
inference(subst,[],[refute_0_284:[bind(X,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_286,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))
| add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_287,plain,
( add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity))) )],[refute_0_285,refute_0_286]) ).
cnf(refute_0_288,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_279,refute_0_287]) ).
cnf(refute_0_289,plain,
add(additive_identity,X_10) = X_10,
inference(subst,[],[additive_id2:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_290,plain,
multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(additive_identity,X_10)))]]) ).
cnf(refute_0_291,plain,
( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| add(additive_identity,X_10) != X_10
| multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_292,plain,
( add(additive_identity,X_10) != X_10
| multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_290,refute_0_291]) ).
cnf(refute_0_293,plain,
multiply(additive_identity,add(additive_identity,X_10)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(add(additive_identity,X_10),X_10) )],[refute_0_289,refute_0_292]) ).
cnf(refute_0_294,plain,
( multiply(X,add(Y,Z)) != add(multiply(X,Y),multiply(X,Z))
| add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X,add(Y,Z)))),bind(Y0,$fot(add(multiply(X,Y),multiply(X,Z))))]]) ).
cnf(refute_0_295,plain,
add(multiply(X,Y),multiply(X,Z)) = multiply(X,add(Y,Z)),
inference(resolve,[$cnf( $equal(multiply(X,add(Y,Z)),add(multiply(X,Y),multiply(X,Z))) )],[distributivity4,refute_0_294]) ).
cnf(refute_0_296,plain,
add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) = multiply(additive_identity,add(additive_identity,X_10)),
inference(subst,[],[refute_0_295:[bind(X,$fot(additive_identity)),bind(Y,$fot(additive_identity)),bind(Z,$fot(X_10))]]) ).
cnf(refute_0_297,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_197:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(X_18,$fot(X_10))]]) ).
cnf(refute_0_298,plain,
( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,add(additive_identity,X_10))))]]) ).
cnf(refute_0_299,plain,
( add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10))) )],[refute_0_297,refute_0_298]) ).
cnf(refute_0_300,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,add(additive_identity,X_10)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(additive_identity,X_10)),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_296,refute_0_299]) ).
cnf(refute_0_301,plain,
( multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,add(additive_identity,X_10))
| multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(multiply(additive_identity,add(additive_identity,X_10)))),bind(Z0,$fot(multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_302,plain,
( multiply(additive_identity,add(additive_identity,X_10)) != multiply(additive_identity,X_10)
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,add(additive_identity,X_10))) )],[refute_0_300,refute_0_301]) ).
cnf(refute_0_303,plain,
multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(additive_identity,X_10)),multiply(additive_identity,X_10)) )],[refute_0_293,refute_0_302]) ).
cnf(refute_0_304,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))) != multiply(additive_identity,X_10)
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) ),[0],$fot(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_305,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity))),multiply(additive_identity,X_10)) )],[refute_0_303,refute_0_304]) ).
cnf(refute_0_306,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(additive_identity,X_10),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_10,multiply(additive_identity,additive_identity)))) )],[refute_0_288,refute_0_305]) ).
cnf(refute_0_307,plain,
multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) = multiply(additive_identity,X_57),
inference(subst,[],[refute_0_306:[bind(X_10,$fot(X_57))]]) ).
cnf(refute_0_308,plain,
( multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)) != multiply(additive_identity,X_57)
| additive_identity != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| additive_identity = multiply(additive_identity,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) ),[1],$fot(multiply(additive_identity,X_57))]]) ).
cnf(refute_0_309,plain,
( additive_identity != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| additive_identity = multiply(additive_identity,X_57) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity)),multiply(additive_identity,X_57)) )],[refute_0_307,refute_0_308]) ).
cnf(refute_0_310,plain,
( multiply(add(additive_identity,X_57),additive_identity) != multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))
| additive_identity = multiply(additive_identity,X_57) ),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) )],[refute_0_278,refute_0_309]) ).
cnf(refute_0_311,plain,
additive_identity = multiply(additive_identity,X_57),
inference(resolve,[$cnf( $equal(multiply(add(additive_identity,X_57),additive_identity),multiply(multiply(X_57,additive_identity),multiply(X_57,additive_identity))) )],[refute_0_96,refute_0_310]) ).
cnf(refute_0_312,plain,
( additive_identity != multiply(additive_identity,X_57)
| multiply(additive_identity,X_57) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(additive_identity,X_57)))]]) ).
cnf(refute_0_313,plain,
multiply(additive_identity,X_57) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(additive_identity,X_57)) )],[refute_0_311,refute_0_312]) ).
cnf(refute_0_314,plain,
multiply(additive_identity,inverse(X_38)) = additive_identity,
inference(subst,[],[refute_0_313:[bind(X_57,$fot(inverse(X_38)))]]) ).
cnf(refute_0_315,plain,
add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)))]]) ).
cnf(refute_0_316,plain,
( multiply(additive_identity,inverse(X_38)) != additive_identity
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38))
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = add(additive_identity,multiply(X_37,X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_317,plain,
( multiply(additive_identity,inverse(X_38)) != additive_identity
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = add(additive_identity,multiply(X_37,X_38)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38))) )],[refute_0_315,refute_0_316]) ).
cnf(refute_0_318,plain,
add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = add(additive_identity,multiply(X_37,X_38)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,inverse(X_38)),additive_identity) )],[refute_0_314,refute_0_317]) ).
cnf(refute_0_319,plain,
( add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != add(additive_identity,multiply(X_37,X_38))
| add(additive_identity,multiply(X_37,X_38)) != multiply(X_37,X_38)
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(X_37,X_38) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)))),bind(Y0,$fot(add(additive_identity,multiply(X_37,X_38)))),bind(Z0,$fot(multiply(X_37,X_38)))]]) ).
cnf(refute_0_320,plain,
( add(additive_identity,multiply(X_37,X_38)) != multiply(X_37,X_38)
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(X_37,X_38) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),add(additive_identity,multiply(X_37,X_38))) )],[refute_0_318,refute_0_319]) ).
cnf(refute_0_321,plain,
add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) = multiply(X_37,X_38),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_37,X_38)),multiply(X_37,X_38)) )],[refute_0_78,refute_0_320]) ).
cnf(refute_0_322,plain,
( add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != multiply(X_37,X_38)
| add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))
| multiply(X_37,X_38) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))) ),[0],$fot(multiply(X_37,X_38))]]) ).
cnf(refute_0_323,plain,
( add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)) != multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))
| multiply(X_37,X_38) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),multiply(X_37,X_38)) )],[refute_0_321,refute_0_322]) ).
cnf(refute_0_324,plain,
multiply(X_37,X_38) = multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,inverse(X_38)),multiply(X_37,X_38)),multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))) )],[refute_0_77,refute_0_323]) ).
cnf(refute_0_325,plain,
multiply(inverse(inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(inverse(X_10))),bind(X_57,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_326,plain,
add(multiply(X_10,X_11),inverse(X_10)) = multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10))),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(inverse(X_10)))]]) ).
cnf(refute_0_327,plain,
add(X_10,inverse(X_10)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_10))]]) ).
cnf(refute_0_328,plain,
( add(X_10,inverse(X_10)) != multiplicative_identity
| add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_329,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(X_10,inverse(X_10)),multiplicative_identity) )],[refute_0_327,refute_0_328]) ).
cnf(refute_0_330,plain,
add(multiply(X_10,X_11),inverse(X_10)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(add(X_10,inverse(X_10)),add(X_11,inverse(X_10)))) )],[refute_0_326,refute_0_329]) ).
cnf(refute_0_331,plain,
add(multiply(X_10,X_11),inverse(X_10)) = add(inverse(X_10),multiply(X_10,X_11)),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(X_10))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_332,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(multiply(X_10,X_11),inverse(X_10)) != add(inverse(X_10),multiply(X_10,X_11))
| add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[0],$fot(add(inverse(X_10),multiply(X_10,X_11)))]]) ).
cnf(refute_0_333,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = multiply(multiplicative_identity,add(X_11,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) )],[refute_0_331,refute_0_332]) ).
cnf(refute_0_334,plain,
multiply(multiplicative_identity,add(X_11,inverse(X_10))) = add(X_11,inverse(X_10)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,inverse(X_10))))]]) ).
cnf(refute_0_335,plain,
( multiply(multiplicative_identity,add(X_11,inverse(X_10))) != add(X_11,inverse(X_10))
| add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) ),[1],$fot(add(X_11,inverse(X_10)))]]) ).
cnf(refute_0_336,plain,
( add(inverse(X_10),multiply(X_10,X_11)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,inverse(X_10))),add(X_11,inverse(X_10))) )],[refute_0_334,refute_0_335]) ).
cnf(refute_0_337,plain,
( add(multiply(X_10,X_11),inverse(X_10)) != multiply(multiplicative_identity,add(X_11,inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_333,refute_0_336]) ).
cnf(refute_0_338,plain,
add(inverse(X_10),multiply(X_10,X_11)) = add(X_11,inverse(X_10)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),inverse(X_10)),multiply(multiplicative_identity,add(X_11,inverse(X_10)))) )],[refute_0_330,refute_0_337]) ).
cnf(refute_0_339,plain,
( multiply(inverse(inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| add(inverse(X_10),multiply(X_10,X_11)) != add(X_11,inverse(X_10))
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_10)))) ),[0,1],$fot(add(X_11,inverse(X_10)))]]) ).
cnf(refute_0_340,plain,
( multiply(inverse(inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,X_11)),add(X_11,inverse(X_10))) )],[refute_0_338,refute_0_339]) ).
cnf(refute_0_341,plain,
multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(inverse(X_10),multiply(X_10,X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_10)))) )],[refute_0_325,refute_0_340]) ).
cnf(refute_0_342,plain,
inverse(inverse(X_10)) = X_10,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_10))]]) ).
cnf(refute_0_343,plain,
multiply(X_11,inverse(inverse(X_10))) = multiply(X_11,inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(inverse(X_10))))]]) ).
cnf(refute_0_344,plain,
( multiply(X_11,inverse(inverse(X_10))) != multiply(X_11,inverse(inverse(X_10)))
| inverse(inverse(X_10)) != X_10
| multiply(X_11,inverse(inverse(X_10))) = multiply(X_11,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(inverse(X_10))),multiply(X_11,inverse(inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_345,plain,
( inverse(inverse(X_10)) != X_10
| multiply(X_11,inverse(inverse(X_10))) = multiply(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(inverse(X_10))),multiply(X_11,inverse(inverse(X_10)))) )],[refute_0_343,refute_0_344]) ).
cnf(refute_0_346,plain,
multiply(X_11,inverse(inverse(X_10))) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_342,refute_0_345]) ).
cnf(refute_0_347,plain,
multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(X_11,inverse(inverse(X_10))),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(X_11)),bind(X_57,$fot(inverse(X_10)))]]) ).
cnf(refute_0_348,plain,
( multiply(X_11,inverse(inverse(X_10))) != multiply(X_11,X_10)
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) != multiply(X_11,inverse(inverse(X_10)))
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(X_11,X_10) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))))),bind(Y0,$fot(multiply(X_11,inverse(inverse(X_10))))),bind(Z0,$fot(multiply(X_11,X_10)))]]) ).
cnf(refute_0_349,plain,
( multiply(X_11,inverse(inverse(X_10))) != multiply(X_11,X_10)
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(X_11,X_10) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))),multiply(X_11,inverse(inverse(X_10)))) )],[refute_0_347,refute_0_348]) ).
cnf(refute_0_350,plain,
multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(inverse(X_10))),multiply(X_11,X_10)) )],[refute_0_346,refute_0_349]) ).
cnf(refute_0_351,plain,
( multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) != multiply(X_11,X_10)
| multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(X_11,X_10) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))),multiply(multiply(X_10,X_11),inverse(inverse(X_10)))) ),[0],$fot(multiply(X_11,X_10))]]) ).
cnf(refute_0_352,plain,
( multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(X_11,X_10) = multiply(multiply(X_10,X_11),inverse(inverse(X_10))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))),multiply(X_11,X_10)) )],[refute_0_350,refute_0_351]) ).
cnf(refute_0_353,plain,
multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) = multiply(inverse(inverse(X_10)),multiply(X_10,X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_10)),multiply(X_10,X_11)))]]) ).
cnf(refute_0_354,plain,
( multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) != multiply(inverse(inverse(X_10)),multiply(X_10,X_11))
| inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(inverse(X_10)),multiply(X_10,X_11))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_355,plain,
( inverse(inverse(X_10)) != X_10
| multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_10,X_11)),multiply(inverse(inverse(X_10)),multiply(X_10,X_11))) )],[refute_0_353,refute_0_354]) ).
cnf(refute_0_356,plain,
multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) = multiply(X_10,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_342,refute_0_355]) ).
cnf(refute_0_357,plain,
multiply(multiply(X_10,X_11),inverse(inverse(X_10))) = multiply(inverse(inverse(X_10)),multiply(X_10,X_11)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(X_10)))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_358,plain,
( multiply(multiply(X_10,X_11),inverse(inverse(X_10))) != multiply(inverse(inverse(X_10)),multiply(X_10,X_11))
| multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) != multiply(X_10,multiply(X_10,X_11))
| multiply(multiply(X_10,X_11),inverse(inverse(X_10))) = multiply(X_10,multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_10,X_11),inverse(inverse(X_10))))),bind(Y0,$fot(multiply(inverse(inverse(X_10)),multiply(X_10,X_11)))),bind(Z0,$fot(multiply(X_10,multiply(X_10,X_11))))]]) ).
cnf(refute_0_359,plain,
( multiply(inverse(inverse(X_10)),multiply(X_10,X_11)) != multiply(X_10,multiply(X_10,X_11))
| multiply(multiply(X_10,X_11),inverse(inverse(X_10))) = multiply(X_10,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),inverse(inverse(X_10))),multiply(inverse(inverse(X_10)),multiply(X_10,X_11))) )],[refute_0_357,refute_0_358]) ).
cnf(refute_0_360,plain,
multiply(multiply(X_10,X_11),inverse(inverse(X_10))) = multiply(X_10,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),multiply(X_10,X_11)),multiply(X_10,multiply(X_10,X_11))) )],[refute_0_356,refute_0_359]) ).
cnf(refute_0_361,plain,
( multiply(X_11,X_10) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(multiply(X_10,X_11),inverse(inverse(X_10))) != multiply(X_10,multiply(X_10,X_11))
| multiply(X_11,X_10) = multiply(X_10,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_11,X_10),multiply(X_10,multiply(X_10,X_11))) ),[0],$fot(multiply(multiply(X_10,X_11),inverse(inverse(X_10))))]]) ).
cnf(refute_0_362,plain,
( multiply(X_11,X_10) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(X_11,X_10) = multiply(X_10,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),inverse(inverse(X_10))),multiply(X_10,multiply(X_10,X_11))) )],[refute_0_360,refute_0_361]) ).
cnf(refute_0_363,plain,
( multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))) != multiply(multiply(X_10,X_11),inverse(inverse(X_10)))
| multiply(X_11,X_10) = multiply(X_10,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_11,X_10),multiply(multiply(X_10,X_11),inverse(inverse(X_10)))) )],[refute_0_352,refute_0_362]) ).
cnf(refute_0_364,plain,
multiply(X_11,X_10) = multiply(X_10,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_10)),add(X_11,inverse(X_10))),multiply(multiply(X_10,X_11),inverse(inverse(X_10)))) )],[refute_0_341,refute_0_363]) ).
cnf(refute_0_365,plain,
( multiply(X_11,X_10) != multiply(X_10,multiply(X_10,X_11))
| multiply(X_10,multiply(X_10,X_11)) = multiply(X_11,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_11,X_10))),bind(Y0,$fot(multiply(X_10,multiply(X_10,X_11))))]]) ).
cnf(refute_0_366,plain,
multiply(X_10,multiply(X_10,X_11)) = multiply(X_11,X_10),
inference(resolve,[$cnf( $equal(multiply(X_11,X_10),multiply(X_10,multiply(X_10,X_11))) )],[refute_0_364,refute_0_365]) ).
cnf(refute_0_367,plain,
multiply(X_37,multiply(X_37,X_38)) = multiply(X_38,X_37),
inference(subst,[],[refute_0_366:[bind(X_10,$fot(X_37)),bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_368,plain,
multiply(multiply(X_37,X_38),X_37) = multiply(X_37,multiply(X_37,X_38)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_37)),bind(Y,$fot(multiply(X_37,X_38)))]]) ).
cnf(refute_0_369,plain,
( multiply(X_37,multiply(X_37,X_38)) != multiply(X_38,X_37)
| multiply(multiply(X_37,X_38),X_37) != multiply(X_37,multiply(X_37,X_38))
| multiply(multiply(X_37,X_38),X_37) = multiply(X_38,X_37) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_37,X_38),X_37))),bind(Y0,$fot(multiply(X_37,multiply(X_37,X_38)))),bind(Z0,$fot(multiply(X_38,X_37)))]]) ).
cnf(refute_0_370,plain,
( multiply(X_37,multiply(X_37,X_38)) != multiply(X_38,X_37)
| multiply(multiply(X_37,X_38),X_37) = multiply(X_38,X_37) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_37,X_38),X_37),multiply(X_37,multiply(X_37,X_38))) )],[refute_0_368,refute_0_369]) ).
cnf(refute_0_371,plain,
multiply(multiply(X_37,X_38),X_37) = multiply(X_38,X_37),
inference(resolve,[$cnf( $equal(multiply(X_37,multiply(X_37,X_38)),multiply(X_38,X_37)) )],[refute_0_367,refute_0_370]) ).
cnf(refute_0_372,plain,
multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = add(multiply(X_76,X_77),multiply(X_76,inverse(add(X_70,X_76)))),
inference(subst,[],[distributivity4:[bind(X,$fot(X_76)),bind(Y,$fot(X_77)),bind(Z,$fot(inverse(add(X_70,X_76))))]]) ).
cnf(refute_0_373,plain,
multiply(inverse(add(X_70,X_56)),add(X_56,add(X_70,X_56))) = multiply(X_56,inverse(add(X_70,X_56))),
inference(subst,[],[refute_0_60:[bind(X_57,$fot(add(X_70,X_56)))]]) ).
cnf(refute_0_374,plain,
add(inverse(inverse(X_63)),multiply(inverse(X_63),add(X_62,X_63))) = add(add(X_62,X_63),inverse(inverse(X_63))),
inference(subst,[],[refute_0_338:[bind(X_10,$fot(inverse(X_63))),bind(X_11,$fot(add(X_62,X_63)))]]) ).
cnf(refute_0_375,plain,
multiply(inverse(X_63),add(X_62,X_63)) = multiply(X_62,inverse(X_63)),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(X_62)),bind(X_57,$fot(X_63))]]) ).
cnf(refute_0_376,plain,
( multiply(inverse(X_63),add(X_62,X_63)) != multiply(X_62,inverse(X_63))
| add(inverse(inverse(X_63)),multiply(inverse(X_63),add(X_62,X_63))) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(add(X_62,X_63),inverse(inverse(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(inverse(X_63),add(X_62,X_63))),add(add(X_62,X_63),inverse(inverse(X_63)))) ),[0,1],$fot(multiply(X_62,inverse(X_63)))]]) ).
cnf(refute_0_377,plain,
( add(inverse(inverse(X_63)),multiply(inverse(X_63),add(X_62,X_63))) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(add(X_62,X_63),inverse(inverse(X_63))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_63),add(X_62,X_63)),multiply(X_62,inverse(X_63))) )],[refute_0_375,refute_0_376]) ).
cnf(refute_0_378,plain,
add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(add(X_62,X_63),inverse(inverse(X_63))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(inverse(X_63),add(X_62,X_63))),add(add(X_62,X_63),inverse(inverse(X_63)))) )],[refute_0_374,refute_0_377]) ).
cnf(refute_0_379,plain,
inverse(inverse(X_63)) = X_63,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_63))]]) ).
cnf(refute_0_380,plain,
add(X_62,inverse(inverse(X_63))) = add(X_62,inverse(inverse(X_63))),
introduced(tautology,[refl,[$fot(add(X_62,inverse(inverse(X_63))))]]) ).
cnf(refute_0_381,plain,
( add(X_62,inverse(inverse(X_63))) != add(X_62,inverse(inverse(X_63)))
| inverse(inverse(X_63)) != X_63
| add(X_62,inverse(inverse(X_63))) = add(X_62,X_63) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_62,inverse(inverse(X_63))),add(X_62,inverse(inverse(X_63)))) ),[1,1],$fot(X_63)]]) ).
cnf(refute_0_382,plain,
( inverse(inverse(X_63)) != X_63
| add(X_62,inverse(inverse(X_63))) = add(X_62,X_63) ),
inference(resolve,[$cnf( $equal(add(X_62,inverse(inverse(X_63))),add(X_62,inverse(inverse(X_63)))) )],[refute_0_380,refute_0_381]) ).
cnf(refute_0_383,plain,
add(X_62,inverse(inverse(X_63))) = add(X_62,X_63),
inference(resolve,[$cnf( $equal(inverse(inverse(X_63)),X_63) )],[refute_0_379,refute_0_382]) ).
cnf(refute_0_384,plain,
add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(X_62,inverse(inverse(X_63))),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_62)),bind(X_11,$fot(inverse(X_63)))]]) ).
cnf(refute_0_385,plain,
( add(X_62,inverse(inverse(X_63))) != add(X_62,X_63)
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) != add(X_62,inverse(inverse(X_63)))
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(X_62,X_63) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))))),bind(Y0,$fot(add(X_62,inverse(inverse(X_63))))),bind(Z0,$fot(add(X_62,X_63)))]]) ).
cnf(refute_0_386,plain,
( add(X_62,inverse(inverse(X_63))) != add(X_62,X_63)
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(X_62,X_63) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))),add(X_62,inverse(inverse(X_63)))) )],[refute_0_384,refute_0_385]) ).
cnf(refute_0_387,plain,
add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) = add(X_62,X_63),
inference(resolve,[$cnf( $equal(add(X_62,inverse(inverse(X_63))),add(X_62,X_63)) )],[refute_0_383,refute_0_386]) ).
cnf(refute_0_388,plain,
( add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) != add(X_62,X_63)
| add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(X_62,X_63) = add(add(X_62,X_63),inverse(inverse(X_63))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))),add(add(X_62,X_63),inverse(inverse(X_63)))) ),[0],$fot(add(X_62,X_63))]]) ).
cnf(refute_0_389,plain,
( add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(X_62,X_63) = add(add(X_62,X_63),inverse(inverse(X_63))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))),add(X_62,X_63)) )],[refute_0_387,refute_0_388]) ).
cnf(refute_0_390,plain,
add(inverse(inverse(X_63)),add(X_62,X_63)) = add(inverse(inverse(X_63)),add(X_62,X_63)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_63)),add(X_62,X_63)))]]) ).
cnf(refute_0_391,plain,
( add(inverse(inverse(X_63)),add(X_62,X_63)) != add(inverse(inverse(X_63)),add(X_62,X_63))
| inverse(inverse(X_63)) != X_63
| add(inverse(inverse(X_63)),add(X_62,X_63)) = add(X_63,add(X_62,X_63)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_63)),add(X_62,X_63)),add(inverse(inverse(X_63)),add(X_62,X_63))) ),[1,0],$fot(X_63)]]) ).
cnf(refute_0_392,plain,
( inverse(inverse(X_63)) != X_63
| add(inverse(inverse(X_63)),add(X_62,X_63)) = add(X_63,add(X_62,X_63)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),add(X_62,X_63)),add(inverse(inverse(X_63)),add(X_62,X_63))) )],[refute_0_390,refute_0_391]) ).
cnf(refute_0_393,plain,
add(inverse(inverse(X_63)),add(X_62,X_63)) = add(X_63,add(X_62,X_63)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_63)),X_63) )],[refute_0_379,refute_0_392]) ).
cnf(refute_0_394,plain,
add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = multiply(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity)))),
inference(subst,[],[distributivity1:[bind(X,$fot(inverse(multiply(X_55,X_55)))),bind(Z,$fot(add(X_55,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_395,plain,
add(inverse(X_38),multiply(X_38,X_38)) = add(X_38,inverse(X_38)),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_38)),bind(X_11,$fot(X_38))]]) ).
cnf(refute_0_396,plain,
add(X_38,multiply(additive_identity,additive_identity)) = multiply(X_38,X_38),
inference(subst,[],[refute_0_284:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_397,plain,
( add(X_38,multiply(additive_identity,additive_identity)) != multiply(X_38,X_38)
| multiply(X_38,X_38) = add(X_38,multiply(additive_identity,additive_identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_38,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(X_38,X_38)))]]) ).
cnf(refute_0_398,plain,
multiply(X_38,X_38) = add(X_38,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_38,multiply(additive_identity,additive_identity)),multiply(X_38,X_38)) )],[refute_0_396,refute_0_397]) ).
cnf(refute_0_399,plain,
( multiply(X_38,X_38) != add(X_38,multiply(additive_identity,additive_identity))
| add(inverse(X_38),multiply(X_38,X_38)) != add(X_38,inverse(X_38))
| add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = add(X_38,inverse(X_38)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_38),multiply(X_38,X_38)),add(X_38,inverse(X_38))) ),[0,1],$fot(add(X_38,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_400,plain,
( add(inverse(X_38),multiply(X_38,X_38)) != add(X_38,inverse(X_38))
| add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = add(X_38,inverse(X_38)) ),
inference(resolve,[$cnf( $equal(multiply(X_38,X_38),add(X_38,multiply(additive_identity,additive_identity))) )],[refute_0_398,refute_0_399]) ).
cnf(refute_0_401,plain,
add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = add(X_38,inverse(X_38)),
inference(resolve,[$cnf( $equal(add(inverse(X_38),multiply(X_38,X_38)),add(X_38,inverse(X_38))) )],[refute_0_395,refute_0_400]) ).
cnf(refute_0_402,plain,
add(X_38,inverse(X_38)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_38))]]) ).
cnf(refute_0_403,plain,
( add(X_38,inverse(X_38)) != multiplicative_identity
| add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) != add(X_38,inverse(X_38))
| add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))),add(X_38,inverse(X_38))) ),[1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_404,plain,
( add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) != add(X_38,inverse(X_38))
| add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(X_38,inverse(X_38)),multiplicative_identity) )],[refute_0_402,refute_0_403]) ).
cnf(refute_0_405,plain,
add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(X_38),add(X_38,multiply(additive_identity,additive_identity))),add(X_38,inverse(X_38))) )],[refute_0_401,refute_0_404]) ).
cnf(refute_0_406,plain,
add(inverse(multiply(Y,Y)),add(multiply(Y,Y),multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(subst,[],[refute_0_405:[bind(X_38,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_407,plain,
add(multiply(Y,Y),Z) = multiply(add(Y,Z),add(Y,Z)),
inference(subst,[],[distributivity1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_408,plain,
add(Y,multiply(Z,Z)) = multiply(add(Y,Z),add(Y,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Y)),bind(Y,$fot(Z))]]) ).
cnf(refute_0_409,plain,
( add(Y,multiply(Z,Z)) != multiply(add(Y,Z),add(Y,Z))
| multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,multiply(Z,Z)))),bind(Y0,$fot(multiply(add(Y,Z),add(Y,Z))))]]) ).
cnf(refute_0_410,plain,
multiply(add(Y,Z),add(Y,Z)) = add(Y,multiply(Z,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Z,Z)),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_408,refute_0_409]) ).
cnf(refute_0_411,plain,
( multiply(add(Y,Z),add(Y,Z)) != add(Y,multiply(Z,Z))
| add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) ),[1],$fot(add(Y,multiply(Z,Z)))]]) ).
cnf(refute_0_412,plain,
( add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Y,Z)),add(Y,multiply(Z,Z))) )],[refute_0_410,refute_0_411]) ).
cnf(refute_0_413,plain,
add(multiply(Y,Y),Z) = add(Y,multiply(Z,Z)),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_407,refute_0_412]) ).
cnf(refute_0_414,plain,
add(multiply(Y,Y),multiply(additive_identity,additive_identity)) = add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_413:[bind(Z,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_415,plain,
( add(multiply(Y,Y),multiply(additive_identity,additive_identity)) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(inverse(multiply(Y,Y)),add(multiply(Y,Y),multiply(additive_identity,additive_identity))) != multiplicative_identity
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(multiply(Y,Y),multiply(additive_identity,additive_identity))),multiplicative_identity) ),[0,1],$fot(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_416,plain,
( add(inverse(multiply(Y,Y)),add(multiply(Y,Y),multiply(additive_identity,additive_identity))) != multiplicative_identity
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,additive_identity)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_414,refute_0_415]) ).
cnf(refute_0_417,plain,
add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(multiply(Y,Y),multiply(additive_identity,additive_identity))),multiplicative_identity) )],[refute_0_406,refute_0_416]) ).
cnf(refute_0_418,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_72:[bind(X_12,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_419,plain,
add(X_11,multiply(additive_identity,additive_identity)) = multiply(X_11,X_11),
inference(subst,[],[refute_0_284:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_420,plain,
( add(X_11,multiply(additive_identity,additive_identity)) != multiply(X_11,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(X_11,X_11))]]) ).
cnf(refute_0_421,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(add(X_11,multiply(additive_identity,additive_identity)),multiply(X_11,X_11)) )],[refute_0_419,refute_0_420]) ).
cnf(refute_0_422,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),add(X_11,multiply(additive_identity,additive_identity)))) )],[refute_0_418,refute_0_421]) ).
cnf(refute_0_423,plain,
add(X_11,additive_identity) = X_11,
inference(subst,[],[additive_id1:[bind(X,$fot(X_11))]]) ).
cnf(refute_0_424,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
introduced(tautology,[refl,[$fot(multiply(additive_identity,add(X_11,additive_identity)))]]) ).
cnf(refute_0_425,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_426,plain,
( add(X_11,additive_identity) != X_11
| multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_424,refute_0_425]) ).
cnf(refute_0_427,plain,
multiply(additive_identity,add(X_11,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(add(X_11,additive_identity),X_11) )],[refute_0_423,refute_0_426]) ).
cnf(refute_0_428,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,add(X_11,additive_identity)),
inference(subst,[],[refute_0_295:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_11)),bind(Z,$fot(additive_identity))]]) ).
cnf(refute_0_429,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,add(X_11,additive_identity))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(additive_identity,add(X_11,additive_identity)))),bind(Z0,$fot(multiply(additive_identity,X_11)))]]) ).
cnf(refute_0_430,plain,
( multiply(additive_identity,add(X_11,additive_identity)) != multiply(additive_identity,X_11)
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,add(X_11,additive_identity))) )],[refute_0_428,refute_0_429]) ).
cnf(refute_0_431,plain,
add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,add(X_11,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_427,refute_0_430]) ).
cnf(refute_0_432,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(additive_identity,X_11)
| multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) ),[0],$fot(multiply(additive_identity,X_11))]]) ).
cnf(refute_0_433,plain,
( add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(additive_identity,X_11)) )],[refute_0_431,refute_0_432]) ).
cnf(refute_0_434,plain,
multiply(additive_identity,X_11) = multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_11),multiply(additive_identity,additive_identity)),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) )],[refute_0_422,refute_0_433]) ).
cnf(refute_0_435,plain,
( multiply(additive_identity,X_11) != multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))
| multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) = multiply(additive_identity,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,X_11))),bind(Y0,$fot(multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))))]]) ).
cnf(refute_0_436,plain,
multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11)) = multiply(additive_identity,X_11),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_11),multiply(multiply(additive_identity,additive_identity),multiply(X_11,X_11))) )],[refute_0_434,refute_0_435]) ).
cnf(refute_0_437,plain,
multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) = multiply(additive_identity,additive_identity),
inference(subst,[],[refute_0_436:[bind(X_11,$fot(additive_identity))]]) ).
cnf(refute_0_438,plain,
add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_439,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(Y,multiply(additive_identity,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,additive_identity))]]) ).
cnf(refute_0_440,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(Y,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_438,refute_0_439]) ).
cnf(refute_0_441,plain,
add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(Y,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity)) )],[refute_0_437,refute_0_440]) ).
cnf(refute_0_442,plain,
add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),
introduced(tautology,[refl,[$fot(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_443,plain,
( add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(Y,multiply(additive_identity,additive_identity))
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) != add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))) ),[1,1],$fot(add(Y,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_444,plain,
( add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(Y,multiply(additive_identity,additive_identity))
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))) )],[refute_0_442,refute_0_443]) ).
cnf(refute_0_445,plain,
add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) = add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_441,refute_0_444]) ).
cnf(refute_0_446,plain,
( add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) != add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity)))
| add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) != multiplicative_identity
| add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),multiplicative_identity) ),[0],$fot(add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_447,plain,
( add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) != multiplicative_identity
| add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity)))) )],[refute_0_445,refute_0_446]) ).
cnf(refute_0_448,plain,
add(inverse(multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))),multiplicative_identity) )],[refute_0_417,refute_0_447]) ).
cnf(refute_0_449,plain,
add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(subst,[],[refute_0_448:[bind(Y,$fot(X_55))]]) ).
cnf(refute_0_450,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != multiply(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))) != multiplicative_identity
| add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),multiply(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity))))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_451,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != multiply(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),multiplicative_identity) )],[refute_0_449,refute_0_450]) ).
cnf(refute_0_452,plain,
add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),multiply(add(inverse(multiply(X_55,X_55)),add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity))))) )],[refute_0_394,refute_0_451]) ).
cnf(refute_0_453,plain,
add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) = add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))),
inference(subst,[],[refute_0_413:[bind(Y,$fot(X_32)),bind(Z,$fot(multiply(inverse(multiply(X_32,X_32)),X_23)))]]) ).
cnf(refute_0_454,plain,
add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) = add(multiply(X_32,X_32),X_23),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(multiply(X_32,X_32)))]]) ).
cnf(refute_0_455,plain,
( add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) != add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))
| add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) != add(multiply(X_32,X_32),X_23)
| add(multiply(X_32,X_32),X_23) = add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)),add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))) ),[0],$fot(add(multiply(X_32,X_32),X_23))]]) ).
cnf(refute_0_456,plain,
( add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) != add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))
| add(multiply(X_32,X_32),X_23) = add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)),add(multiply(X_32,X_32),X_23)) )],[refute_0_454,refute_0_455]) ).
cnf(refute_0_457,plain,
add(multiply(X_32,X_32),X_23) = add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),multiply(inverse(multiply(X_32,X_32)),X_23)),add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))) )],[refute_0_453,refute_0_456]) ).
cnf(refute_0_458,plain,
add(multiply(X_32,X_32),X_33) = add(X_32,multiply(X_33,X_33)),
inference(subst,[],[refute_0_413:[bind(Y,$fot(X_32)),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_459,plain,
add(multiply(additive_identity,additive_identity),X_32) = multiply(X_32,X_32),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(X_32))]]) ).
cnf(refute_0_460,plain,
( add(multiply(additive_identity,additive_identity),X_32) != multiply(X_32,X_32)
| multiply(X_32,X_32) = add(multiply(additive_identity,additive_identity),X_32) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_32))),bind(Y0,$fot(multiply(X_32,X_32)))]]) ).
cnf(refute_0_461,plain,
multiply(X_32,X_32) = add(multiply(additive_identity,additive_identity),X_32),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_32),multiply(X_32,X_32)) )],[refute_0_459,refute_0_460]) ).
cnf(refute_0_462,plain,
( multiply(X_32,X_32) != add(multiply(additive_identity,additive_identity),X_32)
| add(multiply(X_32,X_32),X_33) != add(X_32,multiply(X_33,X_33))
| add(add(multiply(additive_identity,additive_identity),X_32),X_33) = add(X_32,multiply(X_33,X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_32,X_32),X_33),add(X_32,multiply(X_33,X_33))) ),[0,0],$fot(add(multiply(additive_identity,additive_identity),X_32))]]) ).
cnf(refute_0_463,plain,
( add(multiply(X_32,X_32),X_33) != add(X_32,multiply(X_33,X_33))
| add(add(multiply(additive_identity,additive_identity),X_32),X_33) = add(X_32,multiply(X_33,X_33)) ),
inference(resolve,[$cnf( $equal(multiply(X_32,X_32),add(multiply(additive_identity,additive_identity),X_32)) )],[refute_0_461,refute_0_462]) ).
cnf(refute_0_464,plain,
add(add(multiply(additive_identity,additive_identity),X_32),X_33) = add(X_32,multiply(X_33,X_33)),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),X_33),add(X_32,multiply(X_33,X_33))) )],[refute_0_458,refute_0_463]) ).
cnf(refute_0_465,plain,
( add(add(multiply(additive_identity,additive_identity),X_32),X_33) != add(X_32,multiply(X_33,X_33))
| add(X_32,multiply(X_33,X_33)) = add(add(multiply(additive_identity,additive_identity),X_32),X_33) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(add(multiply(additive_identity,additive_identity),X_32),X_33))),bind(Y0,$fot(add(X_32,multiply(X_33,X_33))))]]) ).
cnf(refute_0_466,plain,
add(X_32,multiply(X_33,X_33)) = add(add(multiply(additive_identity,additive_identity),X_32),X_33),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_32),X_33),add(X_32,multiply(X_33,X_33))) )],[refute_0_464,refute_0_465]) ).
cnf(refute_0_467,plain,
add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))) = add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)),
inference(subst,[],[refute_0_466:[bind(X_33,$fot(multiply(inverse(multiply(X_32,X_32)),X_23)))]]) ).
cnf(refute_0_468,plain,
( add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))) != add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23))
| add(multiply(X_32,X_32),X_23) != add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))
| add(multiply(X_32,X_32),X_23) = add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_32,X_32),X_23),add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))) ),[1],$fot(add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)))]]) ).
cnf(refute_0_469,plain,
( add(multiply(X_32,X_32),X_23) != add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))
| add(multiply(X_32,X_32),X_23) = add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) ),
inference(resolve,[$cnf( $equal(add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23))),add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23))) )],[refute_0_467,refute_0_468]) ).
cnf(refute_0_470,plain,
add(multiply(X_32,X_32),X_23) = add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),X_23),add(X_32,multiply(multiply(inverse(multiply(X_32,X_32)),X_23),multiply(inverse(multiply(X_32,X_32)),X_23)))) )],[refute_0_457,refute_0_469]) ).
cnf(refute_0_471,plain,
( add(multiply(X_32,X_32),X_23) != add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23))
| add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) = add(multiply(X_32,X_32),X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_32,X_32),X_23))),bind(Y0,$fot(add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23))))]]) ).
cnf(refute_0_472,plain,
add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23)) = add(multiply(X_32,X_32),X_23),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),X_23),add(add(multiply(additive_identity,additive_identity),X_32),multiply(inverse(multiply(X_32,X_32)),X_23))) )],[refute_0_470,refute_0_471]) ).
cnf(refute_0_473,plain,
add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)) = add(multiply(X_55,X_55),Y),
inference(subst,[],[refute_0_472:[bind(X_23,$fot(Y)),bind(X_32,$fot(X_55))]]) ).
cnf(refute_0_474,plain,
add(X_21,multiply(X_23,X_23)) = multiply(add(X_21,X_23),add(X_21,X_23)),
inference(subst,[],[distributivity2:[bind(X,$fot(X_21)),bind(Y,$fot(X_23)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_475,plain,
add(multiply(additive_identity,additive_identity),X_23) = multiply(X_23,X_23),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(X_23))]]) ).
cnf(refute_0_476,plain,
( add(multiply(additive_identity,additive_identity),X_23) != multiply(X_23,X_23)
| multiply(X_23,X_23) = add(multiply(additive_identity,additive_identity),X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_23))),bind(Y0,$fot(multiply(X_23,X_23)))]]) ).
cnf(refute_0_477,plain,
multiply(X_23,X_23) = add(multiply(additive_identity,additive_identity),X_23),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),multiply(X_23,X_23)) )],[refute_0_475,refute_0_476]) ).
cnf(refute_0_478,plain,
( multiply(X_23,X_23) != add(multiply(additive_identity,additive_identity),X_23)
| add(X_21,multiply(X_23,X_23)) != multiply(add(X_21,X_23),add(X_21,X_23))
| add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_21,X_23),add(X_21,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,multiply(X_23,X_23)),multiply(add(X_21,X_23),add(X_21,X_23))) ),[0,1],$fot(add(multiply(additive_identity,additive_identity),X_23))]]) ).
cnf(refute_0_479,plain,
( add(X_21,multiply(X_23,X_23)) != multiply(add(X_21,X_23),add(X_21,X_23))
| add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_21,X_23),add(X_21,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(X_23,X_23),add(multiply(additive_identity,additive_identity),X_23)) )],[refute_0_477,refute_0_478]) ).
cnf(refute_0_480,plain,
add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_21,X_23),add(X_21,X_23)),
inference(resolve,[$cnf( $equal(add(X_21,multiply(X_23,X_23)),multiply(add(X_21,X_23),add(X_21,X_23))) )],[refute_0_474,refute_0_479]) ).
cnf(refute_0_481,plain,
( add(X,multiply(Y,Z)) != multiply(add(X,Y),add(X,Z))
| multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,multiply(Y,Z)))),bind(Y0,$fot(multiply(add(X,Y),add(X,Z))))]]) ).
cnf(refute_0_482,plain,
multiply(add(X,Y),add(X,Z)) = add(X,multiply(Y,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,Z)),multiply(add(X,Y),add(X,Z))) )],[distributivity2,refute_0_481]) ).
cnf(refute_0_483,plain,
multiply(add(X_21,X_23),add(X_21,X_23)) = add(X_21,multiply(X_23,X_23)),
inference(subst,[],[refute_0_482:[bind(X,$fot(X_21)),bind(Y,$fot(X_23)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_484,plain,
( multiply(add(X_21,X_23),add(X_21,X_23)) != add(X_21,multiply(X_23,X_23))
| add(X_21,add(multiply(additive_identity,additive_identity),X_23)) != multiply(add(X_21,X_23),add(X_21,X_23))
| add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = add(X_21,multiply(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),X_23)),multiply(add(X_21,X_23),add(X_21,X_23))) ),[1],$fot(add(X_21,multiply(X_23,X_23)))]]) ).
cnf(refute_0_485,plain,
( add(X_21,add(multiply(additive_identity,additive_identity),X_23)) != multiply(add(X_21,X_23),add(X_21,X_23))
| add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = add(X_21,multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_21,X_23),add(X_21,X_23)),add(X_21,multiply(X_23,X_23))) )],[refute_0_483,refute_0_484]) ).
cnf(refute_0_486,plain,
add(X_21,add(multiply(additive_identity,additive_identity),X_23)) = add(X_21,multiply(X_23,X_23)),
inference(resolve,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),X_23)),multiply(add(X_21,X_23),add(X_21,X_23))) )],[refute_0_480,refute_0_485]) ).
cnf(refute_0_487,plain,
add(X_35,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(X_35)),bind(X_23,$fot(add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_488,plain,
add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(additive_identity,additive_identity),multiply(X_23,X_23)),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_489,plain,
( add(X_35,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))
| add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_35,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) ),[0,1],$fot(add(multiply(additive_identity,additive_identity),multiply(X_23,X_23)))]]) ).
cnf(refute_0_490,plain,
( add(X_35,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) )],[refute_0_488,refute_0_489]) ).
cnf(refute_0_491,plain,
add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))),
inference(resolve,[$cnf( $equal(add(X_35,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) )],[refute_0_487,refute_0_490]) ).
cnf(refute_0_492,plain,
add(X_21,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36))) = add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))),
inference(subst,[],[refute_0_486:[bind(X_23,$fot(add(multiply(additive_identity,additive_identity),X_36)))]]) ).
cnf(refute_0_493,plain,
add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36)) = add(multiply(additive_identity,additive_identity),multiply(X_36,X_36)),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(multiply(additive_identity,additive_identity))),bind(X_23,$fot(X_36))]]) ).
cnf(refute_0_494,plain,
( add(X_21,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36))) != add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))
| add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36)) != add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))
| add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36))),add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))) ),[0,1],$fot(add(multiply(additive_identity,additive_identity),multiply(X_36,X_36)))]]) ).
cnf(refute_0_495,plain,
( add(X_21,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36))) != add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))
| add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36)),add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) )],[refute_0_493,refute_0_494]) ).
cnf(refute_0_496,plain,
add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))),
inference(resolve,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_36))),add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))) )],[refute_0_492,refute_0_495]) ).
cnf(refute_0_497,plain,
add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_498,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_36,multiply(additive_identity,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,additive_identity))]]) ).
cnf(refute_0_499,plain,
( multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)) != multiply(additive_identity,additive_identity)
| add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_36,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_497,refute_0_498]) ).
cnf(refute_0_500,plain,
add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) = add(X_36,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)),multiply(additive_identity,additive_identity)) )],[refute_0_437,refute_0_499]) ).
cnf(refute_0_501,plain,
add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) = add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_464:[bind(X_32,$fot(X_36)),bind(X_33,$fot(multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_502,plain,
( add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(X_36,multiply(additive_identity,additive_identity))
| add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) != add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) = add(X_36,multiply(additive_identity,additive_identity)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))),bind(Y0,$fot(add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))),bind(Z0,$fot(add(X_36,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_503,plain,
( add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(X_36,multiply(additive_identity,additive_identity))
| add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) = add(X_36,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)),add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_501,refute_0_502]) ).
cnf(refute_0_504,plain,
add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) = add(X_36,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_36,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(X_36,multiply(additive_identity,additive_identity))) )],[refute_0_500,refute_0_503]) ).
cnf(refute_0_505,plain,
add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) = add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_506,plain,
( add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) != add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))
| add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) != add(X_36,multiply(additive_identity,additive_identity))
| add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))),add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))) ),[1,1],$fot(add(X_36,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_507,plain,
( add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)) != add(X_36,multiply(additive_identity,additive_identity))
| add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))),add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))) )],[refute_0_505,refute_0_506]) ).
cnf(refute_0_508,plain,
add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)),add(X_36,multiply(additive_identity,additive_identity))) )],[refute_0_504,refute_0_507]) ).
cnf(refute_0_509,plain,
add(X,multiply(Z,Z)) = multiply(add(X,Z),add(X,Z)),
inference(subst,[],[distributivity2:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_510,plain,
add(Z,multiply(additive_identity,additive_identity)) = multiply(Z,Z),
inference(subst,[],[refute_0_284:[bind(X,$fot(Z))]]) ).
cnf(refute_0_511,plain,
( add(Z,multiply(additive_identity,additive_identity)) != multiply(Z,Z)
| multiply(Z,Z) = add(Z,multiply(additive_identity,additive_identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Z,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(multiply(Z,Z)))]]) ).
cnf(refute_0_512,plain,
multiply(Z,Z) = add(Z,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(add(Z,multiply(additive_identity,additive_identity)),multiply(Z,Z)) )],[refute_0_510,refute_0_511]) ).
cnf(refute_0_513,plain,
( multiply(Z,Z) != add(Z,multiply(additive_identity,additive_identity))
| add(X,multiply(Z,Z)) != multiply(add(X,Z),add(X,Z))
| add(X,add(Z,multiply(additive_identity,additive_identity))) = multiply(add(X,Z),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Z,Z)),multiply(add(X,Z),add(X,Z))) ),[0,1],$fot(add(Z,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_514,plain,
( add(X,multiply(Z,Z)) != multiply(add(X,Z),add(X,Z))
| add(X,add(Z,multiply(additive_identity,additive_identity))) = multiply(add(X,Z),add(X,Z)) ),
inference(resolve,[$cnf( $equal(multiply(Z,Z),add(Z,multiply(additive_identity,additive_identity))) )],[refute_0_512,refute_0_513]) ).
cnf(refute_0_515,plain,
add(X,add(Z,multiply(additive_identity,additive_identity))) = multiply(add(X,Z),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(Z,Z)),multiply(add(X,Z),add(X,Z))) )],[refute_0_509,refute_0_514]) ).
cnf(refute_0_516,plain,
multiply(add(X,Z),add(X,Z)) = add(X,multiply(Z,Z)),
inference(subst,[],[refute_0_482:[bind(Y,$fot(Z))]]) ).
cnf(refute_0_517,plain,
( multiply(add(X,Z),add(X,Z)) != add(X,multiply(Z,Z))
| add(X,add(Z,multiply(additive_identity,additive_identity))) != multiply(add(X,Z),add(X,Z))
| add(X,add(Z,multiply(additive_identity,additive_identity))) = add(X,multiply(Z,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(Z,multiply(additive_identity,additive_identity))),multiply(add(X,Z),add(X,Z))) ),[1],$fot(add(X,multiply(Z,Z)))]]) ).
cnf(refute_0_518,plain,
( add(X,add(Z,multiply(additive_identity,additive_identity))) != multiply(add(X,Z),add(X,Z))
| add(X,add(Z,multiply(additive_identity,additive_identity))) = add(X,multiply(Z,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Z),add(X,Z)),add(X,multiply(Z,Z))) )],[refute_0_516,refute_0_517]) ).
cnf(refute_0_519,plain,
add(X,add(Z,multiply(additive_identity,additive_identity))) = add(X,multiply(Z,Z)),
inference(resolve,[$cnf( $equal(add(X,add(Z,multiply(additive_identity,additive_identity))),multiply(add(X,Z),add(X,Z))) )],[refute_0_515,refute_0_518]) ).
cnf(refute_0_520,plain,
( add(X,add(Z,multiply(additive_identity,additive_identity))) != add(X,multiply(Z,Z))
| add(X,multiply(Z,Z)) = add(X,add(Z,multiply(additive_identity,additive_identity))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X,add(Z,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(X,multiply(Z,Z))))]]) ).
cnf(refute_0_521,plain,
add(X,multiply(Z,Z)) = add(X,add(Z,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(X,add(Z,multiply(additive_identity,additive_identity))),add(X,multiply(Z,Z))) )],[refute_0_519,refute_0_520]) ).
cnf(refute_0_522,plain,
add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) = add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_521:[bind(X,$fot(X_21)),bind(Z,$fot(add(multiply(additive_identity,additive_identity),X_36)))]]) ).
cnf(refute_0_523,plain,
( add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) != add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))
| add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) != add(X_21,add(X_36,multiply(additive_identity,additive_identity)))
| add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))))),bind(Y0,$fot(add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))))),bind(Z0,$fot(add(X_21,add(X_36,multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_524,plain,
( add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))) != add(X_21,add(X_36,multiply(additive_identity,additive_identity)))
| add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))),add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity)))) )],[refute_0_522,refute_0_523]) ).
cnf(refute_0_525,plain,
add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(X_21,add(add(multiply(additive_identity,additive_identity),X_36),multiply(additive_identity,additive_identity))),add(X_21,add(X_36,multiply(additive_identity,additive_identity)))) )],[refute_0_508,refute_0_524]) ).
cnf(refute_0_526,plain,
( add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))) != add(X_21,add(X_36,multiply(additive_identity,additive_identity)))
| add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) != add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))
| add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))),add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))) ),[1],$fot(add(X_21,add(X_36,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_527,plain,
( add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) != add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))
| add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36))),add(X_21,add(X_36,multiply(additive_identity,additive_identity)))) )],[refute_0_525,refute_0_526]) ).
cnf(refute_0_528,plain,
add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))) = add(X_21,add(X_36,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(X_21,add(multiply(additive_identity,additive_identity),multiply(X_36,X_36))),add(X_21,multiply(add(multiply(additive_identity,additive_identity),X_36),add(multiply(additive_identity,additive_identity),X_36)))) )],[refute_0_496,refute_0_527]) ).
cnf(refute_0_529,plain,
add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) = add(X_35,add(X_23,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_528:[bind(X_21,$fot(X_35)),bind(X_36,$fot(X_23))]]) ).
cnf(refute_0_530,plain,
( add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) != add(X_35,add(X_23,multiply(additive_identity,additive_identity)))
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) ),[0],$fot(add(X_35,add(X_23,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_531,plain,
( add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) ),
inference(resolve,[$cnf( $equal(add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))),add(X_35,add(X_23,multiply(additive_identity,additive_identity)))) )],[refute_0_529,refute_0_530]) ).
cnf(refute_0_532,plain,
( multiply(Z,Z) != add(Z,multiply(additive_identity,additive_identity))
| add(multiply(Y,Y),Z) != add(Y,multiply(Z,Z))
| add(multiply(Y,Y),Z) = add(Y,add(Z,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),Z),add(Y,multiply(Z,Z))) ),[1,1],$fot(add(Z,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_533,plain,
( add(multiply(Y,Y),Z) != add(Y,multiply(Z,Z))
| add(multiply(Y,Y),Z) = add(Y,add(Z,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(Z,Z),add(Z,multiply(additive_identity,additive_identity))) )],[refute_0_512,refute_0_532]) ).
cnf(refute_0_534,plain,
add(multiply(Y,Y),Z) = add(Y,add(Z,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),add(Y,multiply(Z,Z))) )],[refute_0_413,refute_0_533]) ).
cnf(refute_0_535,plain,
( add(multiply(Y,Y),Z) != add(Y,add(Z,multiply(additive_identity,additive_identity)))
| add(Y,add(Z,multiply(additive_identity,additive_identity))) = add(multiply(Y,Y),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(Y,Y),Z))),bind(Y0,$fot(add(Y,add(Z,multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_536,plain,
add(Y,add(Z,multiply(additive_identity,additive_identity))) = add(multiply(Y,Y),Z),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),add(Y,add(Z,multiply(additive_identity,additive_identity)))) )],[refute_0_534,refute_0_535]) ).
cnf(refute_0_537,plain,
add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))) = add(multiply(additive_identity,additive_identity),X_23),
inference(subst,[],[refute_0_536:[bind(Y,$fot(additive_identity)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_538,plain,
add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) = add(multiply(Y,Y),multiply(X_33,X_33)),
inference(subst,[],[refute_0_413:[bind(Y,$fot(multiply(Y,Y))),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_539,plain,
add(multiply(Y,Y),multiply(X_33,X_33)) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),
inference(subst,[],[refute_0_413:[bind(Z,$fot(multiply(X_33,X_33)))]]) ).
cnf(refute_0_540,plain,
( add(multiply(Y,Y),multiply(X_33,X_33)) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) != add(multiply(Y,Y),multiply(X_33,X_33))
| add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33),add(multiply(Y,Y),multiply(X_33,X_33))) ),[1],$fot(add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))))]]) ).
cnf(refute_0_541,plain,
( add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) != add(multiply(Y,Y),multiply(X_33,X_33))
| add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_33,X_33)),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) )],[refute_0_539,refute_0_540]) ).
cnf(refute_0_542,plain,
add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33),add(multiply(Y,Y),multiply(X_33,X_33))) )],[refute_0_538,refute_0_541]) ).
cnf(refute_0_543,plain,
add(multiply(additive_identity,additive_identity),X_33) = multiply(X_33,X_33),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(X_33))]]) ).
cnf(refute_0_544,plain,
( add(multiply(additive_identity,additive_identity),X_33) != multiply(X_33,X_33)
| multiply(X_33,X_33) = add(multiply(additive_identity,additive_identity),X_33) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_33))),bind(Y0,$fot(multiply(X_33,X_33)))]]) ).
cnf(refute_0_545,plain,
multiply(X_33,X_33) = add(multiply(additive_identity,additive_identity),X_33),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_33),multiply(X_33,X_33)) )],[refute_0_543,refute_0_544]) ).
cnf(refute_0_546,plain,
( multiply(X_33,X_33) != add(multiply(additive_identity,additive_identity),X_33)
| add(multiply(X_32,X_32),X_33) != add(X_32,multiply(X_33,X_33))
| add(multiply(X_32,X_32),X_33) = add(X_32,add(multiply(additive_identity,additive_identity),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_32,X_32),X_33),add(X_32,multiply(X_33,X_33))) ),[1,1],$fot(add(multiply(additive_identity,additive_identity),X_33))]]) ).
cnf(refute_0_547,plain,
( add(multiply(X_32,X_32),X_33) != add(X_32,multiply(X_33,X_33))
| add(multiply(X_32,X_32),X_33) = add(X_32,add(multiply(additive_identity,additive_identity),X_33)) ),
inference(resolve,[$cnf( $equal(multiply(X_33,X_33),add(multiply(additive_identity,additive_identity),X_33)) )],[refute_0_545,refute_0_546]) ).
cnf(refute_0_548,plain,
add(multiply(X_32,X_32),X_33) = add(X_32,add(multiply(additive_identity,additive_identity),X_33)),
inference(resolve,[$cnf( $equal(add(multiply(X_32,X_32),X_33),add(X_32,multiply(X_33,X_33))) )],[refute_0_458,refute_0_547]) ).
cnf(refute_0_549,plain,
add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) = add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)),
inference(subst,[],[refute_0_548:[bind(X_32,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_550,plain,
( add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) != add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33))
| add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) ),[0],$fot(add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)))]]) ).
cnf(refute_0_551,plain,
( add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33),add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33))) )],[refute_0_549,refute_0_550]) ).
cnf(refute_0_552,plain,
add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(Y,Y),multiply(Y,Y)),X_33),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) )],[refute_0_542,refute_0_551]) ).
cnf(refute_0_553,plain,
add(multiply(Y,Y),multiply(additive_identity,additive_identity)) = multiply(multiply(Y,Y),multiply(Y,Y)),
inference(subst,[],[refute_0_284:[bind(X,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_554,plain,
( add(multiply(Y,Y),multiply(additive_identity,additive_identity)) != multiply(multiply(Y,Y),multiply(Y,Y))
| add(multiply(Y,Y),multiply(additive_identity,additive_identity)) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,additive_identity)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) ),[0],$fot(multiply(multiply(Y,Y),multiply(Y,Y)))]]) ).
cnf(refute_0_555,plain,
( add(multiply(Y,Y),multiply(additive_identity,additive_identity)) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,additive_identity)),multiply(multiply(Y,Y),multiply(Y,Y))) )],[refute_0_553,refute_0_554]) ).
cnf(refute_0_556,plain,
multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(additive_identity,additive_identity)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_414,refute_0_555]) ).
cnf(refute_0_557,plain,
( multiply(multiply(Y,Y),multiply(Y,Y)) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))) != add(Y,multiply(additive_identity,additive_identity))
| multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(additive_identity,additive_identity)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(Y,Y),multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) ),[0],$fot(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_558,plain,
( multiply(multiply(Y,Y),multiply(Y,Y)) != add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))
| multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity))),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_441,refute_0_557]) ).
cnf(refute_0_559,plain,
multiply(multiply(Y,Y),multiply(Y,Y)) = add(Y,multiply(additive_identity,additive_identity)),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),multiply(Y,Y)),add(Y,multiply(multiply(additive_identity,additive_identity),multiply(additive_identity,additive_identity)))) )],[refute_0_556,refute_0_558]) ).
cnf(refute_0_560,plain,
multiply(multiply(X_33,X_33),multiply(X_33,X_33)) = add(X_33,multiply(additive_identity,additive_identity)),
inference(subst,[],[refute_0_559:[bind(Y,$fot(X_33))]]) ).
cnf(refute_0_561,plain,
add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) = add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),
introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))))]]) ).
cnf(refute_0_562,plain,
( multiply(multiply(X_33,X_33),multiply(X_33,X_33)) != add(X_33,multiply(additive_identity,additive_identity))
| add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) = add(Y,add(X_33,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) ),[1,1],$fot(add(X_33,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_563,plain,
( multiply(multiply(X_33,X_33),multiply(X_33,X_33)) != add(X_33,multiply(additive_identity,additive_identity))
| add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) = add(Y,add(X_33,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) )],[refute_0_561,refute_0_562]) ).
cnf(refute_0_564,plain,
add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) = add(Y,add(X_33,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,X_33),multiply(X_33,X_33)),add(X_33,multiply(additive_identity,additive_identity))) )],[refute_0_560,refute_0_563]) ).
cnf(refute_0_565,plain,
( add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))) != add(Y,add(X_33,multiply(additive_identity,additive_identity)))
| add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,add(X_33,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) ),[1],$fot(add(Y,add(X_33,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_566,plain,
( add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) != add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))
| add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,add(X_33,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33))),add(Y,add(X_33,multiply(additive_identity,additive_identity)))) )],[refute_0_564,refute_0_565]) ).
cnf(refute_0_567,plain,
add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)) = add(Y,add(X_33,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),add(multiply(additive_identity,additive_identity),X_33)),add(Y,multiply(multiply(X_33,X_33),multiply(X_33,X_33)))) )],[refute_0_552,refute_0_566]) ).
cnf(refute_0_568,plain,
add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) = add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))),
inference(subst,[],[refute_0_567:[bind(Y,$fot(additive_identity)),bind(X_33,$fot(X_23))]]) ).
cnf(refute_0_569,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) != add(additive_identity,add(X_23,multiply(additive_identity,additive_identity)))
| add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),X_23)
| add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(additive_identity,additive_identity),X_23) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)))),bind(Y0,$fot(add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))))),bind(Z0,$fot(add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_570,plain,
( add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))) != add(multiply(additive_identity,additive_identity),X_23)
| add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(additive_identity,additive_identity),X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),add(additive_identity,add(X_23,multiply(additive_identity,additive_identity)))) )],[refute_0_568,refute_0_569]) ).
cnf(refute_0_571,plain,
add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(additive_identity,additive_identity),X_23),
inference(resolve,[$cnf( $equal(add(additive_identity,add(X_23,multiply(additive_identity,additive_identity))),add(multiply(additive_identity,additive_identity),X_23)) )],[refute_0_537,refute_0_570]) ).
cnf(refute_0_572,plain,
add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) = add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35),
introduced(tautology,[refl,[$fot(add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35))]]) ).
cnf(refute_0_573,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(additive_identity,additive_identity),X_23)
| add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) != add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35)
| add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35),add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35)) ),[1,0],$fot(add(multiply(additive_identity,additive_identity),X_23))]]) ).
cnf(refute_0_574,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(additive_identity,additive_identity),X_23)
| add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35),add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35)) )],[refute_0_572,refute_0_573]) ).
cnf(refute_0_575,plain,
add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) = add(add(multiply(additive_identity,additive_identity),X_23),X_35),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(additive_identity,additive_identity),X_23)) )],[refute_0_571,refute_0_574]) ).
cnf(refute_0_576,plain,
add(add(multiply(additive_identity,additive_identity),X_36),Y) = add(Y,add(multiply(additive_identity,additive_identity),X_36)),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(add(multiply(additive_identity,additive_identity),X_36)))]]) ).
cnf(refute_0_577,plain,
add(Y,add(multiply(additive_identity,additive_identity),X_36)) = add(Y,multiply(X_36,X_36)),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(Y)),bind(X_23,$fot(X_36))]]) ).
cnf(refute_0_578,plain,
( add(Y,add(multiply(additive_identity,additive_identity),X_36)) != add(Y,multiply(X_36,X_36))
| add(add(multiply(additive_identity,additive_identity),X_36),Y) != add(Y,add(multiply(additive_identity,additive_identity),X_36))
| add(add(multiply(additive_identity,additive_identity),X_36),Y) = add(Y,multiply(X_36,X_36)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_36),Y),add(Y,add(multiply(additive_identity,additive_identity),X_36))) ),[1],$fot(add(Y,multiply(X_36,X_36)))]]) ).
cnf(refute_0_579,plain,
( add(add(multiply(additive_identity,additive_identity),X_36),Y) != add(Y,add(multiply(additive_identity,additive_identity),X_36))
| add(add(multiply(additive_identity,additive_identity),X_36),Y) = add(Y,multiply(X_36,X_36)) ),
inference(resolve,[$cnf( $equal(add(Y,add(multiply(additive_identity,additive_identity),X_36)),add(Y,multiply(X_36,X_36))) )],[refute_0_577,refute_0_578]) ).
cnf(refute_0_580,plain,
add(add(multiply(additive_identity,additive_identity),X_36),Y) = add(Y,multiply(X_36,X_36)),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_36),Y),add(Y,add(multiply(additive_identity,additive_identity),X_36))) )],[refute_0_576,refute_0_579]) ).
cnf(refute_0_581,plain,
( add(add(multiply(additive_identity,additive_identity),X_36),Y) != add(Y,multiply(X_36,X_36))
| add(Y,multiply(X_36,X_36)) = add(add(multiply(additive_identity,additive_identity),X_36),Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(add(multiply(additive_identity,additive_identity),X_36),Y))),bind(Y0,$fot(add(Y,multiply(X_36,X_36))))]]) ).
cnf(refute_0_582,plain,
add(Y,multiply(X_36,X_36)) = add(add(multiply(additive_identity,additive_identity),X_36),Y),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_36),Y),add(Y,multiply(X_36,X_36))) )],[refute_0_580,refute_0_581]) ).
cnf(refute_0_583,plain,
add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) = add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35),
inference(subst,[],[refute_0_582:[bind(Y,$fot(X_35)),bind(X_36,$fot(add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_584,plain,
( add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) != add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35)
| add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) != add(add(multiply(additive_identity,additive_identity),X_23),X_35)
| add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))))),bind(Y0,$fot(add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35))),bind(Z0,$fot(add(add(multiply(additive_identity,additive_identity),X_23),X_35)))]]) ).
cnf(refute_0_585,plain,
( add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35) != add(add(multiply(additive_identity,additive_identity),X_23),X_35)
| add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
inference(resolve,[$cnf( $equal(add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))),add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35)) )],[refute_0_583,refute_0_584]) ).
cnf(refute_0_586,plain,
add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),add(multiply(additive_identity,additive_identity),X_23)),X_35),add(add(multiply(additive_identity,additive_identity),X_23),X_35)) )],[refute_0_575,refute_0_585]) ).
cnf(refute_0_587,plain,
( add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))) != add(add(multiply(additive_identity,additive_identity),X_23),X_35)
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_35,add(X_23,multiply(additive_identity,additive_identity))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) ),[1],$fot(add(add(multiply(additive_identity,additive_identity),X_23),X_35))]]) ).
cnf(refute_0_588,plain,
( add(X_35,add(X_23,multiply(additive_identity,additive_identity))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
inference(resolve,[$cnf( $equal(add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23))),add(add(multiply(additive_identity,additive_identity),X_23),X_35)) )],[refute_0_586,refute_0_587]) ).
cnf(refute_0_589,plain,
( add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))) != add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))
| add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35) ),
inference(resolve,[$cnf( $equal(add(X_35,add(X_23,multiply(additive_identity,additive_identity))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) )],[refute_0_531,refute_0_588]) ).
cnf(refute_0_590,plain,
add(X_35,add(X_23,multiply(additive_identity,additive_identity))) = add(add(multiply(additive_identity,additive_identity),X_23),X_35),
inference(resolve,[$cnf( $equal(add(X_35,add(multiply(additive_identity,additive_identity),multiply(X_23,X_23))),add(X_35,multiply(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)))) )],[refute_0_491,refute_0_589]) ).
cnf(refute_0_591,plain,
add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)),
inference(subst,[],[refute_0_590:[bind(X_23,$fot(X_55)),bind(X_35,$fot(multiply(inverse(multiply(X_55,X_55)),Y)))]]) ).
cnf(refute_0_592,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y))
| add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)) != add(multiply(X_55,X_55),Y)
| add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = add(multiply(X_55,X_55),Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)))),bind(Z0,$fot(add(multiply(X_55,X_55),Y)))]]) ).
cnf(refute_0_593,plain,
( add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)) != add(multiply(X_55,X_55),Y)
| add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = add(multiply(X_55,X_55),Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y))) )],[refute_0_591,refute_0_592]) ).
cnf(refute_0_594,plain,
add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) = add(multiply(X_55,X_55),Y),
inference(resolve,[$cnf( $equal(add(add(multiply(additive_identity,additive_identity),X_55),multiply(inverse(multiply(X_55,X_55)),Y)),add(multiply(X_55,X_55),Y)) )],[refute_0_473,refute_0_593]) ).
cnf(refute_0_595,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != add(multiply(X_55,X_55),Y)
| add(multiply(X_55,X_55),Y) = multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))) ),[0],$fot(add(multiply(X_55,X_55),Y))]]) ).
cnf(refute_0_596,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(X_55,X_55),Y) = multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),add(multiply(X_55,X_55),Y)) )],[refute_0_594,refute_0_595]) ).
cnf(refute_0_597,plain,
multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) = add(Y,add(X_55,multiply(additive_identity,additive_identity))),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,add(X_55,multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_598,plain,
( multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(multiply(X_55,X_55),Y) != multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(X_55,X_55),Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,X_55),Y),multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))) ),[1],$fot(add(Y,add(X_55,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_599,plain,
( add(multiply(X_55,X_55),Y) != multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(X_55,X_55),Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity)))),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) )],[refute_0_597,refute_0_598]) ).
cnf(refute_0_600,plain,
( add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))) != multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))
| add(multiply(X_55,X_55),Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_55),Y),multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))) )],[refute_0_596,refute_0_599]) ).
cnf(refute_0_601,plain,
add(multiply(X_55,X_55),Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_55,X_55)),Y),add(X_55,multiply(additive_identity,additive_identity))),multiply(multiplicative_identity,add(Y,add(X_55,multiply(additive_identity,additive_identity))))) )],[refute_0_452,refute_0_600]) ).
cnf(refute_0_602,plain,
add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23)),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(additive_identity,additive_identity))),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_603,plain,
( add(multiply(additive_identity,additive_identity),X_23) != multiply(X_23,X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))) ),[1,1],$fot(multiply(X_23,X_23))]]) ).
cnf(refute_0_604,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),multiply(X_23,X_23)) )],[refute_0_475,refute_0_603]) ).
cnf(refute_0_605,plain,
add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_602,refute_0_604]) ).
cnf(refute_0_606,plain,
add(additive_identity,X_22) = X_22,
inference(subst,[],[additive_id2:[bind(X,$fot(X_22))]]) ).
cnf(refute_0_607,plain,
multiply(additive_identity,additive_identity) = additive_identity,
inference(subst,[],[refute_0_313:[bind(X_57,$fot(additive_identity))]]) ).
cnf(refute_0_608,plain,
add(multiply(additive_identity,additive_identity),X_22) = add(multiply(additive_identity,additive_identity),X_22),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,additive_identity),X_22))]]) ).
cnf(refute_0_609,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_22) != add(multiply(additive_identity,additive_identity),X_22)
| add(multiply(additive_identity,additive_identity),X_22) = add(additive_identity,X_22) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_22)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_610,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_22) = add(additive_identity,X_22) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_22)) )],[refute_0_608,refute_0_609]) ).
cnf(refute_0_611,plain,
add(multiply(additive_identity,additive_identity),X_22) = add(additive_identity,X_22),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_610]) ).
cnf(refute_0_612,plain,
( add(multiply(additive_identity,additive_identity),X_22) != add(additive_identity,X_22)
| add(additive_identity,X_22) != X_22
| add(multiply(additive_identity,additive_identity),X_22) = X_22 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_22))),bind(Y0,$fot(add(additive_identity,X_22))),bind(Z0,$fot(X_22))]]) ).
cnf(refute_0_613,plain,
( add(additive_identity,X_22) != X_22
| add(multiply(additive_identity,additive_identity),X_22) = X_22 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),add(additive_identity,X_22)) )],[refute_0_611,refute_0_612]) ).
cnf(refute_0_614,plain,
add(multiply(additive_identity,additive_identity),X_22) = X_22,
inference(resolve,[$cnf( $equal(add(additive_identity,X_22),X_22) )],[refute_0_606,refute_0_613]) ).
cnf(refute_0_615,plain,
multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) = multiply(add(multiply(additive_identity,additive_identity),X_22),X_23),
introduced(tautology,[refl,[$fot(multiply(add(multiply(additive_identity,additive_identity),X_22),X_23))]]) ).
cnf(refute_0_616,plain,
( multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) != multiply(add(multiply(additive_identity,additive_identity),X_22),X_23)
| add(multiply(additive_identity,additive_identity),X_22) != X_22
| multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) = multiply(X_22,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),X_23),multiply(add(multiply(additive_identity,additive_identity),X_22),X_23)) ),[1,0],$fot(X_22)]]) ).
cnf(refute_0_617,plain,
( add(multiply(additive_identity,additive_identity),X_22) != X_22
| multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) = multiply(X_22,X_23) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),X_23),multiply(add(multiply(additive_identity,additive_identity),X_22),X_23)) )],[refute_0_615,refute_0_616]) ).
cnf(refute_0_618,plain,
multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) = multiply(X_22,X_23),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),X_22) )],[refute_0_614,refute_0_617]) ).
cnf(refute_0_619,plain,
add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),add(multiply(X_10,additive_identity),X_23)),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(X_10,additive_identity))),bind(Y,$fot(X_22)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_620,plain,
add(multiply(X_10,additive_identity),X_23) = multiply(X_23,add(X_10,X_23)),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(X_23))]]) ).
cnf(refute_0_621,plain,
( add(multiply(X_10,additive_identity),X_23) != multiply(X_23,add(X_10,X_23))
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(X_10,additive_identity),X_22),add(multiply(X_10,additive_identity),X_23))
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(X_10,additive_identity),X_22),add(multiply(X_10,additive_identity),X_23))) ),[1,1],$fot(multiply(X_23,add(X_10,X_23)))]]) ).
cnf(refute_0_622,plain,
( add(multiply(X_10,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(X_10,additive_identity),X_22),add(multiply(X_10,additive_identity),X_23))
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_23),multiply(X_23,add(X_10,X_23))) )],[refute_0_620,refute_0_621]) ).
cnf(refute_0_623,plain,
add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(X_10,additive_identity),X_22),add(multiply(X_10,additive_identity),X_23))) )],[refute_0_619,refute_0_622]) ).
cnf(refute_0_624,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(X_56,X_23),multiply(X_23,X_23)),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(multiply(X_56,X_23)))]]) ).
cnf(refute_0_625,plain,
multiply(add(X_56,X_23),X_23) = add(multiply(X_56,X_23),multiply(X_23,X_23)),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_23)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_626,plain,
( multiply(add(X_56,X_23),X_23) != add(multiply(X_56,X_23),multiply(X_23,X_23))
| add(multiply(X_56,X_23),multiply(X_23,X_23)) = multiply(add(X_56,X_23),X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_56,X_23),X_23))),bind(Y0,$fot(add(multiply(X_56,X_23),multiply(X_23,X_23))))]]) ).
cnf(refute_0_627,plain,
add(multiply(X_56,X_23),multiply(X_23,X_23)) = multiply(add(X_56,X_23),X_23),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_23),X_23),add(multiply(X_56,X_23),multiply(X_23,X_23))) )],[refute_0_625,refute_0_626]) ).
cnf(refute_0_628,plain,
( add(multiply(X_56,X_23),multiply(X_23,X_23)) != multiply(add(X_56,X_23),X_23)
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(X_56,X_23),multiply(X_23,X_23))
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_56,X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(X_56,X_23),multiply(X_23,X_23))) ),[1],$fot(multiply(add(X_56,X_23),X_23))]]) ).
cnf(refute_0_629,plain,
( add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(X_56,X_23),multiply(X_23,X_23))
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_56,X_23),X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),multiply(X_23,X_23)),multiply(add(X_56,X_23),X_23)) )],[refute_0_627,refute_0_628]) ).
cnf(refute_0_630,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(add(X_56,X_23),X_23),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(X_56,X_23),multiply(X_23,X_23))) )],[refute_0_624,refute_0_629]) ).
cnf(refute_0_631,plain,
multiply(add(X_56,X_23),X_23) = multiply(X_23,add(X_56,X_23)),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_23)),bind(Y,$fot(add(X_56,X_23)))]]) ).
cnf(refute_0_632,plain,
( multiply(add(X_56,X_23),X_23) != multiply(X_23,add(X_56,X_23))
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != multiply(add(X_56,X_23),X_23)
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(X_23,add(X_56,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),multiply(add(X_56,X_23),X_23)) ),[1],$fot(multiply(X_23,add(X_56,X_23)))]]) ).
cnf(refute_0_633,plain,
( add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != multiply(add(X_56,X_23),X_23)
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(X_23,add(X_56,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_23),X_23),multiply(X_23,add(X_56,X_23))) )],[refute_0_631,refute_0_632]) ).
cnf(refute_0_634,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiply(X_23,add(X_56,X_23)),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),multiply(add(X_56,X_23),X_23)) )],[refute_0_630,refute_0_633]) ).
cnf(refute_0_635,plain,
multiply(X_23,add(X_23,X_56)) = X_23,
inference(subst,[],[refute_0_164:[bind(X_58,$fot(X_23))]]) ).
cnf(refute_0_636,plain,
add(X_23,multiply(X_56,X_23)) = multiply(X_23,add(X_23,X_56)),
inference(subst,[],[refute_0_153:[bind(Y,$fot(X_56)),bind(Z,$fot(X_23))]]) ).
cnf(refute_0_637,plain,
( multiply(X_23,add(X_23,X_56)) != X_23
| add(X_23,multiply(X_56,X_23)) != multiply(X_23,add(X_23,X_56))
| add(X_23,multiply(X_56,X_23)) = X_23 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_23,multiply(X_56,X_23)))),bind(Y0,$fot(multiply(X_23,add(X_23,X_56)))),bind(Z0,$fot(X_23))]]) ).
cnf(refute_0_638,plain,
( multiply(X_23,add(X_23,X_56)) != X_23
| add(X_23,multiply(X_56,X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(add(X_23,multiply(X_56,X_23)),multiply(X_23,add(X_23,X_56))) )],[refute_0_636,refute_0_637]) ).
cnf(refute_0_639,plain,
add(X_23,multiply(X_56,X_23)) = X_23,
inference(resolve,[$cnf( $equal(multiply(X_23,add(X_23,X_56)),X_23) )],[refute_0_635,refute_0_638]) ).
cnf(refute_0_640,plain,
add(multiply(X_56,X_23),X_23) = add(X_23,multiply(X_56,X_23)),
inference(subst,[],[refute_0_36:[bind(X,$fot(X_23)),bind(Y,$fot(multiply(X_56,X_23)))]]) ).
cnf(refute_0_641,plain,
( add(X_23,multiply(X_56,X_23)) != X_23
| add(multiply(X_56,X_23),X_23) != add(X_23,multiply(X_56,X_23))
| add(multiply(X_56,X_23),X_23) = X_23 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_56,X_23),X_23))),bind(Y0,$fot(add(X_23,multiply(X_56,X_23)))),bind(Z0,$fot(X_23))]]) ).
cnf(refute_0_642,plain,
( add(X_23,multiply(X_56,X_23)) != X_23
| add(multiply(X_56,X_23),X_23) = X_23 ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),X_23),add(X_23,multiply(X_56,X_23))) )],[refute_0_640,refute_0_641]) ).
cnf(refute_0_643,plain,
add(multiply(X_56,X_23),X_23) = X_23,
inference(resolve,[$cnf( $equal(add(X_23,multiply(X_56,X_23)),X_23) )],[refute_0_639,refute_0_642]) ).
cnf(refute_0_644,plain,
add(additive_identity,X_23) = X_23,
inference(subst,[],[additive_id2:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_645,plain,
add(multiply(additive_identity,additive_identity),X_23) = add(multiply(additive_identity,additive_identity),X_23),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,additive_identity),X_23))]]) ).
cnf(refute_0_646,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_23) != add(multiply(additive_identity,additive_identity),X_23)
| add(multiply(additive_identity,additive_identity),X_23) = add(additive_identity,X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_647,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_23) = add(additive_identity,X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),add(multiply(additive_identity,additive_identity),X_23)) )],[refute_0_645,refute_0_646]) ).
cnf(refute_0_648,plain,
add(multiply(additive_identity,additive_identity),X_23) = add(additive_identity,X_23),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_647]) ).
cnf(refute_0_649,plain,
( add(multiply(additive_identity,additive_identity),X_23) != add(additive_identity,X_23)
| add(additive_identity,X_23) != X_23
| add(multiply(additive_identity,additive_identity),X_23) = X_23 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_23))),bind(Y0,$fot(add(additive_identity,X_23))),bind(Z0,$fot(X_23))]]) ).
cnf(refute_0_650,plain,
( add(additive_identity,X_23) != X_23
| add(multiply(additive_identity,additive_identity),X_23) = X_23 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),add(additive_identity,X_23)) )],[refute_0_648,refute_0_649]) ).
cnf(refute_0_651,plain,
add(multiply(additive_identity,additive_identity),X_23) = X_23,
inference(resolve,[$cnf( $equal(add(additive_identity,X_23),X_23) )],[refute_0_644,refute_0_650]) ).
cnf(refute_0_652,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),
introduced(tautology,[refl,[$fot(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_653,plain,
( add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),X_23) != X_23
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(X_56,X_23),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_654,plain,
( add(multiply(additive_identity,additive_identity),X_23) != X_23
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(X_56,X_23),X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_652,refute_0_653]) ).
cnf(refute_0_655,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(multiply(X_56,X_23),X_23),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),X_23) )],[refute_0_651,refute_0_654]) ).
cnf(refute_0_656,plain,
( add(multiply(X_56,X_23),X_23) != X_23
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(multiply(X_56,X_23),X_23)
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = X_23 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)))),bind(Y0,$fot(add(multiply(X_56,X_23),X_23))),bind(Z0,$fot(X_23))]]) ).
cnf(refute_0_657,plain,
( add(multiply(X_56,X_23),X_23) != X_23
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = X_23 ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),add(multiply(X_56,X_23),X_23)) )],[refute_0_655,refute_0_656]) ).
cnf(refute_0_658,plain,
add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) = X_23,
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),X_23),X_23) )],[refute_0_643,refute_0_657]) ).
cnf(refute_0_659,plain,
( add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != X_23
| add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != multiply(X_23,add(X_56,X_23))
| X_23 = multiply(X_23,add(X_56,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),multiply(X_23,add(X_56,X_23))) ),[0],$fot(X_23)]]) ).
cnf(refute_0_660,plain,
( add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)) != multiply(X_23,add(X_56,X_23))
| X_23 = multiply(X_23,add(X_56,X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),X_23) )],[refute_0_658,refute_0_659]) ).
cnf(refute_0_661,plain,
X_23 = multiply(X_23,add(X_56,X_23)),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_23),add(multiply(additive_identity,additive_identity),X_23)),multiply(X_23,add(X_56,X_23))) )],[refute_0_634,refute_0_660]) ).
cnf(refute_0_662,plain,
( X_23 != multiply(X_23,add(X_56,X_23))
| multiply(X_23,add(X_56,X_23)) = X_23 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_23)),bind(Y0,$fot(multiply(X_23,add(X_56,X_23))))]]) ).
cnf(refute_0_663,plain,
multiply(X_23,add(X_56,X_23)) = X_23,
inference(resolve,[$cnf( $equal(X_23,multiply(X_23,add(X_56,X_23))) )],[refute_0_661,refute_0_662]) ).
cnf(refute_0_664,plain,
multiply(X_23,add(X_10,X_23)) = X_23,
inference(subst,[],[refute_0_663:[bind(X_56,$fot(X_10))]]) ).
cnf(refute_0_665,plain,
multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) = multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))),
introduced(tautology,[refl,[$fot(multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))))]]) ).
cnf(refute_0_666,plain,
( multiply(X_23,add(X_10,X_23)) != X_23
| multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) != multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))
| multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) = multiply(add(multiply(X_10,additive_identity),X_22),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))),multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_667,plain,
( multiply(X_23,add(X_10,X_23)) != X_23
| multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) = multiply(add(multiply(X_10,additive_identity),X_22),X_23) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))),multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))) )],[refute_0_665,refute_0_666]) ).
cnf(refute_0_668,plain,
multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) = multiply(add(multiply(X_10,additive_identity),X_22),X_23),
inference(resolve,[$cnf( $equal(multiply(X_23,add(X_10,X_23)),X_23) )],[refute_0_664,refute_0_667]) ).
cnf(refute_0_669,plain,
( multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))) != multiply(add(multiply(X_10,additive_identity),X_22),X_23)
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))) ),[1],$fot(multiply(add(multiply(X_10,additive_identity),X_22),X_23))]]) ).
cnf(refute_0_670,plain,
( add(multiply(X_10,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))
| add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),X_23) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23))),multiply(add(multiply(X_10,additive_identity),X_22),X_23)) )],[refute_0_668,refute_0_669]) ).
cnf(refute_0_671,plain,
add(multiply(X_10,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(X_10,additive_identity),X_22),X_23),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(X_10,additive_identity),X_22),multiply(X_23,add(X_10,X_23)))) )],[refute_0_623,refute_0_670]) ).
cnf(refute_0_672,plain,
add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),X_23),
inference(subst,[],[refute_0_671:[bind(X_10,$fot(additive_identity))]]) ).
cnf(refute_0_673,plain,
( multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) != multiply(X_22,X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(X_22,X_23) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)))),bind(Y0,$fot(multiply(add(multiply(additive_identity,additive_identity),X_22),X_23))),bind(Z0,$fot(multiply(X_22,X_23)))]]) ).
cnf(refute_0_674,plain,
( multiply(add(multiply(additive_identity,additive_identity),X_22),X_23) != multiply(X_22,X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(X_22,X_23) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),X_23)) )],[refute_0_672,refute_0_673]) ).
cnf(refute_0_675,plain,
add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(X_22,X_23),
inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),X_23),multiply(X_22,X_23)) )],[refute_0_618,refute_0_674]) ).
cnf(refute_0_676,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(X_22,X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| multiply(X_22,X_23) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))) ),[0],$fot(multiply(X_22,X_23))]]) ).
cnf(refute_0_677,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| multiply(X_22,X_23) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(X_22,X_23)) )],[refute_0_675,refute_0_676]) ).
cnf(refute_0_678,plain,
multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) = multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)),
introduced(tautology,[refl,[$fot(multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)))]]) ).
cnf(refute_0_679,plain,
( multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| add(multiply(additive_identity,additive_identity),X_22) != X_22
| multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) = multiply(X_22,multiply(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))) ),[1,0],$fot(X_22)]]) ).
cnf(refute_0_680,plain,
( add(multiply(additive_identity,additive_identity),X_22) != X_22
| multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) = multiply(X_22,multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))) )],[refute_0_678,refute_0_679]) ).
cnf(refute_0_681,plain,
multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) = multiply(X_22,multiply(X_23,X_23)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),X_22) )],[refute_0_614,refute_0_680]) ).
cnf(refute_0_682,plain,
( multiply(X_22,X_23) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)) != multiply(X_22,multiply(X_23,X_23))
| multiply(X_22,X_23) = multiply(X_22,multiply(X_23,X_23)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,X_23),multiply(X_22,multiply(X_23,X_23))) ),[0],$fot(multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)))]]) ).
cnf(refute_0_683,plain,
( multiply(X_22,X_23) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| multiply(X_22,X_23) = multiply(X_22,multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23)),multiply(X_22,multiply(X_23,X_23))) )],[refute_0_681,refute_0_682]) ).
cnf(refute_0_684,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))
| multiply(X_22,X_23) = multiply(X_22,multiply(X_23,X_23)) ),
inference(resolve,[$cnf( $equal(multiply(X_22,X_23),multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))) )],[refute_0_677,refute_0_683]) ).
cnf(refute_0_685,plain,
multiply(X_22,X_23) = multiply(X_22,multiply(X_23,X_23)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),multiply(X_23,X_23))) )],[refute_0_605,refute_0_684]) ).
cnf(refute_0_686,plain,
( multiply(X_22,X_23) != multiply(X_22,multiply(X_23,X_23))
| multiply(X_22,multiply(X_23,X_23)) = multiply(X_22,X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_22,X_23))),bind(Y0,$fot(multiply(X_22,multiply(X_23,X_23))))]]) ).
cnf(refute_0_687,plain,
multiply(X_22,multiply(X_23,X_23)) = multiply(X_22,X_23),
inference(resolve,[$cnf( $equal(multiply(X_22,X_23),multiply(X_22,multiply(X_23,X_23))) )],[refute_0_685,refute_0_686]) ).
cnf(refute_0_688,plain,
multiply(Y,multiply(Y,Y)) = multiply(Y,Y),
inference(subst,[],[refute_0_687:[bind(X_22,$fot(Y)),bind(X_23,$fot(Y))]]) ).
cnf(refute_0_689,plain,
add(multiply(additive_identity,additive_identity),X_22) = multiply(X_22,X_22),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(X_22))]]) ).
cnf(refute_0_690,plain,
( add(multiply(additive_identity,additive_identity),X_22) != multiply(X_22,X_22)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))) ),[1,0],$fot(multiply(X_22,X_22))]]) ).
cnf(refute_0_691,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_22),multiply(X_22,X_22)) )],[refute_0_689,refute_0_690]) ).
cnf(refute_0_692,plain,
add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(add(multiply(additive_identity,additive_identity),X_22),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_602,refute_0_691]) ).
cnf(refute_0_693,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(X_22,X_23)
| add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| multiply(X_22,X_23) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))) ),[0],$fot(multiply(X_22,X_23))]]) ).
cnf(refute_0_694,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| multiply(X_22,X_23) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(X_22,X_23)) )],[refute_0_675,refute_0_693]) ).
cnf(refute_0_695,plain,
multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) = multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)),
introduced(tautology,[refl,[$fot(multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_696,plain,
( multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| add(multiply(additive_identity,additive_identity),X_23) != X_23
| multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) = multiply(multiply(X_22,X_22),X_23) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)),multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))) ),[1,1],$fot(X_23)]]) ).
cnf(refute_0_697,plain,
( add(multiply(additive_identity,additive_identity),X_23) != X_23
| multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) = multiply(multiply(X_22,X_22),X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)),multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_695,refute_0_696]) ).
cnf(refute_0_698,plain,
multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) = multiply(multiply(X_22,X_22),X_23),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_23),X_23) )],[refute_0_651,refute_0_697]) ).
cnf(refute_0_699,plain,
( multiply(X_22,X_23) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)) != multiply(multiply(X_22,X_22),X_23)
| multiply(X_22,X_23) = multiply(multiply(X_22,X_22),X_23) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_22,X_23),multiply(multiply(X_22,X_22),X_23)) ),[0],$fot(multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)))]]) ).
cnf(refute_0_700,plain,
( multiply(X_22,X_23) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| multiply(X_22,X_23) = multiply(multiply(X_22,X_22),X_23) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23)),multiply(multiply(X_22,X_22),X_23)) )],[refute_0_698,refute_0_699]) ).
cnf(refute_0_701,plain,
( add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)) != multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))
| multiply(X_22,X_23) = multiply(multiply(X_22,X_22),X_23) ),
inference(resolve,[$cnf( $equal(multiply(X_22,X_23),multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_694,refute_0_700]) ).
cnf(refute_0_702,plain,
multiply(X_22,X_23) = multiply(multiply(X_22,X_22),X_23),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),multiply(X_22,X_23)),multiply(multiply(X_22,X_22),add(multiply(additive_identity,additive_identity),X_23))) )],[refute_0_692,refute_0_701]) ).
cnf(refute_0_703,plain,
( multiply(X_22,X_23) != multiply(multiply(X_22,X_22),X_23)
| multiply(multiply(X_22,X_22),X_23) = multiply(X_22,X_23) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_22,X_23))),bind(Y0,$fot(multiply(multiply(X_22,X_22),X_23)))]]) ).
cnf(refute_0_704,plain,
multiply(multiply(X_22,X_22),X_23) = multiply(X_22,X_23),
inference(resolve,[$cnf( $equal(multiply(X_22,X_23),multiply(multiply(X_22,X_22),X_23)) )],[refute_0_702,refute_0_703]) ).
cnf(refute_0_705,plain,
multiply(multiply(Y,Y),multiply(Y,Y)) = multiply(Y,multiply(Y,Y)),
inference(subst,[],[refute_0_704:[bind(X_22,$fot(Y)),bind(X_23,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_706,plain,
( multiply(Y,multiply(Y,Y)) != multiply(Y,Y)
| multiply(multiply(Y,Y),multiply(Y,Y)) != multiply(Y,multiply(Y,Y))
| multiply(multiply(Y,Y),multiply(Y,Y)) = multiply(Y,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(Y,Y),multiply(Y,Y)))),bind(Y0,$fot(multiply(Y,multiply(Y,Y)))),bind(Z0,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_707,plain,
( multiply(Y,multiply(Y,Y)) != multiply(Y,Y)
| multiply(multiply(Y,Y),multiply(Y,Y)) = multiply(Y,Y) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(Y,multiply(Y,Y))) )],[refute_0_705,refute_0_706]) ).
cnf(refute_0_708,plain,
multiply(multiply(Y,Y),multiply(Y,Y)) = multiply(Y,Y),
inference(resolve,[$cnf( $equal(multiply(Y,multiply(Y,Y)),multiply(Y,Y)) )],[refute_0_688,refute_0_707]) ).
cnf(refute_0_709,plain,
( multiply(multiply(Y,Y),multiply(Y,Y)) != multiply(Y,Y)
| multiply(multiply(Y,Y),multiply(Y,Y)) != add(Y,multiply(additive_identity,additive_identity))
| multiply(Y,Y) = add(Y,multiply(additive_identity,additive_identity)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(Y,Y),multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) ),[0],$fot(multiply(Y,Y))]]) ).
cnf(refute_0_710,plain,
( multiply(multiply(Y,Y),multiply(Y,Y)) != add(Y,multiply(additive_identity,additive_identity))
| multiply(Y,Y) = add(Y,multiply(additive_identity,additive_identity)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),multiply(Y,Y)),multiply(Y,Y)) )],[refute_0_708,refute_0_709]) ).
cnf(refute_0_711,plain,
add(Y,additive_identity) = Y,
inference(subst,[],[additive_id1:[bind(X,$fot(Y))]]) ).
cnf(refute_0_712,plain,
add(Y,multiply(additive_identity,additive_identity)) = add(Y,multiply(additive_identity,additive_identity)),
introduced(tautology,[refl,[$fot(add(Y,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_713,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(Y,multiply(additive_identity,additive_identity)) != add(Y,multiply(additive_identity,additive_identity))
| add(Y,multiply(additive_identity,additive_identity)) = add(Y,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_714,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(Y,multiply(additive_identity,additive_identity)) = add(Y,additive_identity) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_712,refute_0_713]) ).
cnf(refute_0_715,plain,
add(Y,multiply(additive_identity,additive_identity)) = add(Y,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_714]) ).
cnf(refute_0_716,plain,
( add(Y,multiply(additive_identity,additive_identity)) != add(Y,additive_identity)
| add(Y,additive_identity) != Y
| add(Y,multiply(additive_identity,additive_identity)) = Y ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(Y,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(add(Y,additive_identity))),bind(Z0,$fot(Y))]]) ).
cnf(refute_0_717,plain,
( add(Y,additive_identity) != Y
| add(Y,multiply(additive_identity,additive_identity)) = Y ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),add(Y,additive_identity)) )],[refute_0_715,refute_0_716]) ).
cnf(refute_0_718,plain,
add(Y,multiply(additive_identity,additive_identity)) = Y,
inference(resolve,[$cnf( $equal(add(Y,additive_identity),Y) )],[refute_0_711,refute_0_717]) ).
cnf(refute_0_719,plain,
( multiply(Y,Y) != add(Y,multiply(additive_identity,additive_identity))
| add(Y,multiply(additive_identity,additive_identity)) != Y
| multiply(Y,Y) = Y ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(Y,Y),Y) ),[0],$fot(add(Y,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_720,plain,
( multiply(Y,Y) != add(Y,multiply(additive_identity,additive_identity))
| multiply(Y,Y) = Y ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,additive_identity)),Y) )],[refute_0_718,refute_0_719]) ).
cnf(refute_0_721,plain,
( multiply(multiply(Y,Y),multiply(Y,Y)) != add(Y,multiply(additive_identity,additive_identity))
| multiply(Y,Y) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,Y),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_710,refute_0_720]) ).
cnf(refute_0_722,plain,
multiply(Y,Y) = Y,
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),multiply(Y,Y)),add(Y,multiply(additive_identity,additive_identity))) )],[refute_0_559,refute_0_721]) ).
cnf(refute_0_723,plain,
multiply(X_55,X_55) = X_55,
inference(subst,[],[refute_0_722:[bind(Y,$fot(X_55))]]) ).
cnf(refute_0_724,plain,
add(multiply(X_55,X_55),Y) = add(multiply(X_55,X_55),Y),
introduced(tautology,[refl,[$fot(add(multiply(X_55,X_55),Y))]]) ).
cnf(refute_0_725,plain,
( multiply(X_55,X_55) != X_55
| add(multiply(X_55,X_55),Y) != add(multiply(X_55,X_55),Y)
| add(multiply(X_55,X_55),Y) = add(X_55,Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,X_55),Y),add(multiply(X_55,X_55),Y)) ),[1,0],$fot(X_55)]]) ).
cnf(refute_0_726,plain,
( multiply(X_55,X_55) != X_55
| add(multiply(X_55,X_55),Y) = add(X_55,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_55),Y),add(multiply(X_55,X_55),Y)) )],[refute_0_724,refute_0_725]) ).
cnf(refute_0_727,plain,
add(multiply(X_55,X_55),Y) = add(X_55,Y),
inference(resolve,[$cnf( $equal(multiply(X_55,X_55),X_55) )],[refute_0_723,refute_0_726]) ).
cnf(refute_0_728,plain,
( add(multiply(X_55,X_55),Y) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(multiply(X_55,X_55),Y) != add(X_55,Y)
| add(X_55,Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_55,X_55),Y),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),[0],$fot(add(X_55,Y))]]) ).
cnf(refute_0_729,plain,
( add(multiply(X_55,X_55),Y) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(X_55,Y) = add(Y,add(X_55,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_55),Y),add(X_55,Y)) )],[refute_0_727,refute_0_728]) ).
cnf(refute_0_730,plain,
add(X_55,additive_identity) = X_55,
inference(subst,[],[additive_id1:[bind(X,$fot(X_55))]]) ).
cnf(refute_0_731,plain,
add(X_55,multiply(additive_identity,additive_identity)) = add(X_55,multiply(additive_identity,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_55,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_732,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_55,multiply(additive_identity,additive_identity)) != add(X_55,multiply(additive_identity,additive_identity))
| add(X_55,multiply(additive_identity,additive_identity)) = add(X_55,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_55,multiply(additive_identity,additive_identity)),add(X_55,multiply(additive_identity,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_733,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_55,multiply(additive_identity,additive_identity)) = add(X_55,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_55,multiply(additive_identity,additive_identity)),add(X_55,multiply(additive_identity,additive_identity))) )],[refute_0_731,refute_0_732]) ).
cnf(refute_0_734,plain,
add(X_55,multiply(additive_identity,additive_identity)) = add(X_55,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_733]) ).
cnf(refute_0_735,plain,
( add(X_55,multiply(additive_identity,additive_identity)) != add(X_55,additive_identity)
| add(X_55,additive_identity) != X_55
| add(X_55,multiply(additive_identity,additive_identity)) = X_55 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_55,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(add(X_55,additive_identity))),bind(Z0,$fot(X_55))]]) ).
cnf(refute_0_736,plain,
( add(X_55,additive_identity) != X_55
| add(X_55,multiply(additive_identity,additive_identity)) = X_55 ),
inference(resolve,[$cnf( $equal(add(X_55,multiply(additive_identity,additive_identity)),add(X_55,additive_identity)) )],[refute_0_734,refute_0_735]) ).
cnf(refute_0_737,plain,
add(X_55,multiply(additive_identity,additive_identity)) = X_55,
inference(resolve,[$cnf( $equal(add(X_55,additive_identity),X_55) )],[refute_0_730,refute_0_736]) ).
cnf(refute_0_738,plain,
add(Y,add(X_55,multiply(additive_identity,additive_identity))) = add(Y,add(X_55,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(Y,add(X_55,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_739,plain,
( add(Y,add(X_55,multiply(additive_identity,additive_identity))) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(X_55,multiply(additive_identity,additive_identity)) != X_55
| add(Y,add(X_55,multiply(additive_identity,additive_identity))) = add(Y,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(X_55)]]) ).
cnf(refute_0_740,plain,
( add(X_55,multiply(additive_identity,additive_identity)) != X_55
| add(Y,add(X_55,multiply(additive_identity,additive_identity))) = add(Y,X_55) ),
inference(resolve,[$cnf( $equal(add(Y,add(X_55,multiply(additive_identity,additive_identity))),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) )],[refute_0_738,refute_0_739]) ).
cnf(refute_0_741,plain,
add(Y,add(X_55,multiply(additive_identity,additive_identity))) = add(Y,X_55),
inference(resolve,[$cnf( $equal(add(X_55,multiply(additive_identity,additive_identity)),X_55) )],[refute_0_737,refute_0_740]) ).
cnf(refute_0_742,plain,
( add(Y,add(X_55,multiply(additive_identity,additive_identity))) != add(Y,X_55)
| add(X_55,Y) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(X_55,Y) = add(Y,X_55) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_55,Y),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) ),[1],$fot(add(Y,X_55))]]) ).
cnf(refute_0_743,plain,
( add(X_55,Y) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(X_55,Y) = add(Y,X_55) ),
inference(resolve,[$cnf( $equal(add(Y,add(X_55,multiply(additive_identity,additive_identity))),add(Y,X_55)) )],[refute_0_741,refute_0_742]) ).
cnf(refute_0_744,plain,
( add(multiply(X_55,X_55),Y) != add(Y,add(X_55,multiply(additive_identity,additive_identity)))
| add(X_55,Y) = add(Y,X_55) ),
inference(resolve,[$cnf( $equal(add(X_55,Y),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) )],[refute_0_729,refute_0_743]) ).
cnf(refute_0_745,plain,
add(X_55,Y) = add(Y,X_55),
inference(resolve,[$cnf( $equal(add(multiply(X_55,X_55),Y),add(Y,add(X_55,multiply(additive_identity,additive_identity)))) )],[refute_0_601,refute_0_744]) ).
cnf(refute_0_746,plain,
( add(X_55,Y) != add(Y,X_55)
| add(Y,X_55) = add(X_55,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_55,Y))),bind(Y0,$fot(add(Y,X_55)))]]) ).
cnf(refute_0_747,plain,
add(Y,X_55) = add(X_55,Y),
inference(resolve,[$cnf( $equal(add(X_55,Y),add(Y,X_55)) )],[refute_0_745,refute_0_746]) ).
cnf(refute_0_748,plain,
add(add(X_62,X_63),inverse(inverse(X_63))) = add(inverse(inverse(X_63)),add(X_62,X_63)),
inference(subst,[],[refute_0_747:[bind(Y,$fot(add(X_62,X_63))),bind(X_55,$fot(inverse(inverse(X_63))))]]) ).
cnf(refute_0_749,plain,
( add(add(X_62,X_63),inverse(inverse(X_63))) != add(inverse(inverse(X_63)),add(X_62,X_63))
| add(inverse(inverse(X_63)),add(X_62,X_63)) != add(X_63,add(X_62,X_63))
| add(add(X_62,X_63),inverse(inverse(X_63))) = add(X_63,add(X_62,X_63)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_62,X_63),inverse(inverse(X_63))))),bind(Y0,$fot(add(inverse(inverse(X_63)),add(X_62,X_63)))),bind(Z0,$fot(add(X_63,add(X_62,X_63))))]]) ).
cnf(refute_0_750,plain,
( add(inverse(inverse(X_63)),add(X_62,X_63)) != add(X_63,add(X_62,X_63))
| add(add(X_62,X_63),inverse(inverse(X_63))) = add(X_63,add(X_62,X_63)) ),
inference(resolve,[$cnf( $equal(add(add(X_62,X_63),inverse(inverse(X_63))),add(inverse(inverse(X_63)),add(X_62,X_63))) )],[refute_0_748,refute_0_749]) ).
cnf(refute_0_751,plain,
add(add(X_62,X_63),inverse(inverse(X_63))) = add(X_63,add(X_62,X_63)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),add(X_62,X_63)),add(X_63,add(X_62,X_63))) )],[refute_0_393,refute_0_750]) ).
cnf(refute_0_752,plain,
( add(X_62,X_63) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(add(X_62,X_63),inverse(inverse(X_63))) != add(X_63,add(X_62,X_63))
| add(X_62,X_63) = add(X_63,add(X_62,X_63)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_62,X_63),add(X_63,add(X_62,X_63))) ),[0],$fot(add(add(X_62,X_63),inverse(inverse(X_63))))]]) ).
cnf(refute_0_753,plain,
( add(X_62,X_63) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(X_62,X_63) = add(X_63,add(X_62,X_63)) ),
inference(resolve,[$cnf( $equal(add(add(X_62,X_63),inverse(inverse(X_63))),add(X_63,add(X_62,X_63))) )],[refute_0_751,refute_0_752]) ).
cnf(refute_0_754,plain,
( add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))) != add(add(X_62,X_63),inverse(inverse(X_63)))
| add(X_62,X_63) = add(X_63,add(X_62,X_63)) ),
inference(resolve,[$cnf( $equal(add(X_62,X_63),add(add(X_62,X_63),inverse(inverse(X_63)))) )],[refute_0_389,refute_0_753]) ).
cnf(refute_0_755,plain,
add(X_62,X_63) = add(X_63,add(X_62,X_63)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_63)),multiply(X_62,inverse(X_63))),add(add(X_62,X_63),inverse(inverse(X_63)))) )],[refute_0_378,refute_0_754]) ).
cnf(refute_0_756,plain,
add(X_70,X_56) = add(X_56,add(X_70,X_56)),
inference(subst,[],[refute_0_755:[bind(X_62,$fot(X_70)),bind(X_63,$fot(X_56))]]) ).
cnf(refute_0_757,plain,
( add(X_70,X_56) != add(X_56,add(X_70,X_56))
| add(X_56,add(X_70,X_56)) = add(X_70,X_56) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_70,X_56))),bind(Y0,$fot(add(X_56,add(X_70,X_56))))]]) ).
cnf(refute_0_758,plain,
add(X_56,add(X_70,X_56)) = add(X_70,X_56),
inference(resolve,[$cnf( $equal(add(X_70,X_56),add(X_56,add(X_70,X_56))) )],[refute_0_756,refute_0_757]) ).
cnf(refute_0_759,plain,
( multiply(inverse(add(X_70,X_56)),add(X_56,add(X_70,X_56))) != multiply(X_56,inverse(add(X_70,X_56)))
| add(X_56,add(X_70,X_56)) != add(X_70,X_56)
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = multiply(X_56,inverse(add(X_70,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_56,add(X_70,X_56))),multiply(X_56,inverse(add(X_70,X_56)))) ),[0,1],$fot(add(X_70,X_56))]]) ).
cnf(refute_0_760,plain,
( multiply(inverse(add(X_70,X_56)),add(X_56,add(X_70,X_56))) != multiply(X_56,inverse(add(X_70,X_56)))
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = multiply(X_56,inverse(add(X_70,X_56))) ),
inference(resolve,[$cnf( $equal(add(X_56,add(X_70,X_56)),add(X_70,X_56)) )],[refute_0_758,refute_0_759]) ).
cnf(refute_0_761,plain,
multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = multiply(X_56,inverse(add(X_70,X_56))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_56,add(X_70,X_56))),multiply(X_56,inverse(add(X_70,X_56)))) )],[refute_0_373,refute_0_760]) ).
cnf(refute_0_762,plain,
multiply(add(X_70,X_56),inverse(add(X_70,X_56))) = additive_identity,
inference(subst,[],[multiplicative_inverse1:[bind(X,$fot(add(X_70,X_56)))]]) ).
cnf(refute_0_763,plain,
multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = multiply(add(X_70,X_56),inverse(add(X_70,X_56))),
inference(subst,[],[refute_0_4:[bind(X,$fot(add(X_70,X_56))),bind(Y,$fot(inverse(add(X_70,X_56))))]]) ).
cnf(refute_0_764,plain,
( multiply(add(X_70,X_56),inverse(add(X_70,X_56))) != additive_identity
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) != multiply(add(X_70,X_56),inverse(add(X_70,X_56)))
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = additive_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(add(X_70,X_56)),add(X_70,X_56)))),bind(Y0,$fot(multiply(add(X_70,X_56),inverse(add(X_70,X_56))))),bind(Z0,$fot(additive_identity))]]) ).
cnf(refute_0_765,plain,
( multiply(add(X_70,X_56),inverse(add(X_70,X_56))) != additive_identity
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_70,X_56)),multiply(add(X_70,X_56),inverse(add(X_70,X_56)))) )],[refute_0_763,refute_0_764]) ).
cnf(refute_0_766,plain,
multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(add(X_70,X_56),inverse(add(X_70,X_56))),additive_identity) )],[refute_0_762,refute_0_765]) ).
cnf(refute_0_767,plain,
( multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) != multiply(X_56,inverse(add(X_70,X_56)))
| multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) != additive_identity
| additive_identity = multiply(X_56,inverse(add(X_70,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_70,X_56)),multiply(X_56,inverse(add(X_70,X_56)))) ),[0],$fot(additive_identity)]]) ).
cnf(refute_0_768,plain,
( multiply(inverse(add(X_70,X_56)),add(X_70,X_56)) != multiply(X_56,inverse(add(X_70,X_56)))
| additive_identity = multiply(X_56,inverse(add(X_70,X_56))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_70,X_56)),additive_identity) )],[refute_0_766,refute_0_767]) ).
cnf(refute_0_769,plain,
additive_identity = multiply(X_56,inverse(add(X_70,X_56))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_70,X_56)),add(X_70,X_56)),multiply(X_56,inverse(add(X_70,X_56)))) )],[refute_0_761,refute_0_768]) ).
cnf(refute_0_770,plain,
additive_identity = multiply(X_76,inverse(add(X_70,X_76))),
inference(subst,[],[refute_0_769:[bind(X_56,$fot(X_76))]]) ).
cnf(refute_0_771,plain,
( additive_identity != multiply(X_76,inverse(add(X_70,X_76)))
| multiply(X_76,inverse(add(X_70,X_76))) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(X_76,inverse(add(X_70,X_76)))))]]) ).
cnf(refute_0_772,plain,
multiply(X_76,inverse(add(X_70,X_76))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(X_76,inverse(add(X_70,X_76)))) )],[refute_0_770,refute_0_771]) ).
cnf(refute_0_773,plain,
( multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) != add(multiply(X_76,X_77),multiply(X_76,inverse(add(X_70,X_76))))
| multiply(X_76,inverse(add(X_70,X_76))) != additive_identity
| multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = add(multiply(X_76,X_77),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,add(X_77,inverse(add(X_70,X_76)))),add(multiply(X_76,X_77),multiply(X_76,inverse(add(X_70,X_76))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_774,plain,
( multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) != add(multiply(X_76,X_77),multiply(X_76,inverse(add(X_70,X_76))))
| multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = add(multiply(X_76,X_77),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(X_76,inverse(add(X_70,X_76))),additive_identity) )],[refute_0_772,refute_0_773]) ).
cnf(refute_0_775,plain,
multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = add(multiply(X_76,X_77),additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_77,inverse(add(X_70,X_76)))),add(multiply(X_76,X_77),multiply(X_76,inverse(add(X_70,X_76))))) )],[refute_0_372,refute_0_774]) ).
cnf(refute_0_776,plain,
add(additive_identity,multiply(X_76,X_77)) = multiply(X_76,X_77),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X_76,X_77)))]]) ).
cnf(refute_0_777,plain,
multiply(add(X_56,X_57),add(X_56,X_13)) = add(multiply(X_56,add(X_56,X_13)),multiply(X_57,add(X_56,X_13))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(add(X_56,X_13)))]]) ).
cnf(refute_0_778,plain,
add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_13,X_14)),
inference(subst,[],[refute_0_87:[bind(X_10,$fot(X_13)),bind(X_12,$fot(X_14))]]) ).
cnf(refute_0_779,plain,
add(X_14,X_13) = add(X_13,X_14),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_14)),bind(Y,$fot(X_13))]]) ).
cnf(refute_0_780,plain,
( add(X_14,X_13) != add(X_13,X_14)
| add(X_13,X_14) = add(X_14,X_13) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_14,X_13))),bind(Y0,$fot(add(X_13,X_14)))]]) ).
cnf(refute_0_781,plain,
add(X_13,X_14) = add(X_14,X_13),
inference(resolve,[$cnf( $equal(add(X_14,X_13),add(X_13,X_14)) )],[refute_0_779,refute_0_780]) ).
cnf(refute_0_782,plain,
( add(X_13,X_14) != add(X_14,X_13)
| add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
| add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) ),[1,1],$fot(add(X_14,X_13))]]) ).
cnf(refute_0_783,plain,
( add(multiply(X_13,additive_identity),X_14) != multiply(X_14,add(X_13,X_14))
| add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)) ),
inference(resolve,[$cnf( $equal(add(X_13,X_14),add(X_14,X_13)) )],[refute_0_781,refute_0_782]) ).
cnf(refute_0_784,plain,
add(multiply(X_13,additive_identity),X_14) = multiply(X_14,add(X_14,X_13)),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_14),multiply(X_14,add(X_13,X_14))) )],[refute_0_778,refute_0_783]) ).
cnf(refute_0_785,plain,
add(multiply(X_13,additive_identity),X_56) = multiply(X_56,add(X_56,X_13)),
inference(subst,[],[refute_0_784:[bind(X_14,$fot(X_56))]]) ).
cnf(refute_0_786,plain,
( add(multiply(X_13,additive_identity),X_56) != multiply(X_56,add(X_56,X_13))
| multiply(X_56,add(X_56,X_13)) = add(multiply(X_13,additive_identity),X_56) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_13,additive_identity),X_56))),bind(Y0,$fot(multiply(X_56,add(X_56,X_13))))]]) ).
cnf(refute_0_787,plain,
multiply(X_56,add(X_56,X_13)) = add(multiply(X_13,additive_identity),X_56),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_56),multiply(X_56,add(X_56,X_13))) )],[refute_0_785,refute_0_786]) ).
cnf(refute_0_788,plain,
( multiply(X_56,add(X_56,X_13)) != add(multiply(X_13,additive_identity),X_56)
| multiply(add(X_56,X_57),add(X_56,X_13)) != add(multiply(X_56,add(X_56,X_13)),multiply(X_57,add(X_56,X_13)))
| multiply(add(X_56,X_57),add(X_56,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_56,X_13)),add(multiply(X_56,add(X_56,X_13)),multiply(X_57,add(X_56,X_13)))) ),[1,0],$fot(add(multiply(X_13,additive_identity),X_56))]]) ).
cnf(refute_0_789,plain,
( multiply(add(X_56,X_57),add(X_56,X_13)) != add(multiply(X_56,add(X_56,X_13)),multiply(X_57,add(X_56,X_13)))
| multiply(add(X_56,X_57),add(X_56,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) ),
inference(resolve,[$cnf( $equal(multiply(X_56,add(X_56,X_13)),add(multiply(X_13,additive_identity),X_56)) )],[refute_0_787,refute_0_788]) ).
cnf(refute_0_790,plain,
multiply(add(X_56,X_57),add(X_56,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_56,X_13)),add(multiply(X_56,add(X_56,X_13)),multiply(X_57,add(X_56,X_13)))) )],[refute_0_777,refute_0_789]) ).
cnf(refute_0_791,plain,
multiply(add(X_56,X_57),add(X_56,X_13)) = add(X_56,multiply(X_57,X_13)),
inference(subst,[],[refute_0_482:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(X_13))]]) ).
cnf(refute_0_792,plain,
( multiply(add(X_56,X_57),add(X_56,X_13)) != add(X_56,multiply(X_57,X_13))
| multiply(add(X_56,X_57),add(X_56,X_13)) != add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))
| add(X_56,multiply(X_57,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_56,X_13)),add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))) ),[0],$fot(add(X_56,multiply(X_57,X_13)))]]) ).
cnf(refute_0_793,plain,
( multiply(add(X_56,X_57),add(X_56,X_13)) != add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))
| add(X_56,multiply(X_57,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_56,X_13)),add(X_56,multiply(X_57,X_13))) )],[refute_0_791,refute_0_792]) ).
cnf(refute_0_794,plain,
add(X_56,multiply(X_57,X_13)) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_56,X_13)),add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))) )],[refute_0_790,refute_0_793]) ).
cnf(refute_0_795,plain,
multiply(add(X_56,X_57),add(X_57,X_18)) = add(multiply(X_56,add(X_57,X_18)),multiply(X_57,add(X_57,X_18))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(add(X_57,X_18)))]]) ).
cnf(refute_0_796,plain,
add(multiply(additive_identity,X_18),X_19) = multiply(X_19,add(X_18,X_19)),
inference(subst,[],[refute_0_72:[bind(X_11,$fot(X_18)),bind(X_12,$fot(X_19))]]) ).
cnf(refute_0_797,plain,
add(X_19,X_18) = add(X_18,X_19),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_19)),bind(Y,$fot(X_18))]]) ).
cnf(refute_0_798,plain,
( add(X_19,X_18) != add(X_18,X_19)
| add(X_18,X_19) = add(X_19,X_18) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_19,X_18))),bind(Y0,$fot(add(X_18,X_19)))]]) ).
cnf(refute_0_799,plain,
add(X_18,X_19) = add(X_19,X_18),
inference(resolve,[$cnf( $equal(add(X_19,X_18),add(X_18,X_19)) )],[refute_0_797,refute_0_798]) ).
cnf(refute_0_800,plain,
( add(X_18,X_19) != add(X_19,X_18)
| add(multiply(additive_identity,X_18),X_19) != multiply(X_19,add(X_18,X_19))
| add(multiply(additive_identity,X_18),X_19) = multiply(X_19,add(X_19,X_18)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_18),X_19),multiply(X_19,add(X_18,X_19))) ),[1,1],$fot(add(X_19,X_18))]]) ).
cnf(refute_0_801,plain,
( add(multiply(additive_identity,X_18),X_19) != multiply(X_19,add(X_18,X_19))
| add(multiply(additive_identity,X_18),X_19) = multiply(X_19,add(X_19,X_18)) ),
inference(resolve,[$cnf( $equal(add(X_18,X_19),add(X_19,X_18)) )],[refute_0_799,refute_0_800]) ).
cnf(refute_0_802,plain,
add(multiply(additive_identity,X_18),X_19) = multiply(X_19,add(X_19,X_18)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X_19),multiply(X_19,add(X_18,X_19))) )],[refute_0_796,refute_0_801]) ).
cnf(refute_0_803,plain,
add(multiply(additive_identity,X_18),X_57) = multiply(X_57,add(X_57,X_18)),
inference(subst,[],[refute_0_802:[bind(X_19,$fot(X_57))]]) ).
cnf(refute_0_804,plain,
( add(multiply(additive_identity,X_18),X_57) != multiply(X_57,add(X_57,X_18))
| multiply(X_57,add(X_57,X_18)) = add(multiply(additive_identity,X_18),X_57) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,X_18),X_57))),bind(Y0,$fot(multiply(X_57,add(X_57,X_18))))]]) ).
cnf(refute_0_805,plain,
multiply(X_57,add(X_57,X_18)) = add(multiply(additive_identity,X_18),X_57),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X_57),multiply(X_57,add(X_57,X_18))) )],[refute_0_803,refute_0_804]) ).
cnf(refute_0_806,plain,
( multiply(X_57,add(X_57,X_18)) != add(multiply(additive_identity,X_18),X_57)
| multiply(add(X_56,X_57),add(X_57,X_18)) != add(multiply(X_56,add(X_57,X_18)),multiply(X_57,add(X_57,X_18)))
| multiply(add(X_56,X_57),add(X_57,X_18)) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_57,X_18)),add(multiply(X_56,add(X_57,X_18)),multiply(X_57,add(X_57,X_18)))) ),[1,1],$fot(add(multiply(additive_identity,X_18),X_57))]]) ).
cnf(refute_0_807,plain,
( multiply(add(X_56,X_57),add(X_57,X_18)) != add(multiply(X_56,add(X_57,X_18)),multiply(X_57,add(X_57,X_18)))
| multiply(add(X_56,X_57),add(X_57,X_18)) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) )],[refute_0_805,refute_0_806]) ).
cnf(refute_0_808,plain,
multiply(add(X_56,X_57),add(X_57,X_18)) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_57,X_18)),add(multiply(X_56,add(X_57,X_18)),multiply(X_57,add(X_57,X_18)))) )],[refute_0_795,refute_0_807]) ).
cnf(refute_0_809,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_11,X_12)),
inference(subst,[],[distributivity1:[bind(X,$fot(X_10)),bind(Y,$fot(X_11)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_810,plain,
add(X_12,X_11) = add(X_11,X_12),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_11))]]) ).
cnf(refute_0_811,plain,
( add(X_12,X_11) != add(X_11,X_12)
| add(X_11,X_12) = add(X_12,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_12,X_11))),bind(Y0,$fot(add(X_11,X_12)))]]) ).
cnf(refute_0_812,plain,
add(X_11,X_12) = add(X_12,X_11),
inference(resolve,[$cnf( $equal(add(X_12,X_11),add(X_11,X_12)) )],[refute_0_810,refute_0_811]) ).
cnf(refute_0_813,plain,
( add(X_11,X_12) != add(X_12,X_11)
| add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1,1],$fot(add(X_12,X_11))]]) ).
cnf(refute_0_814,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)) ),
inference(resolve,[$cnf( $equal(add(X_11,X_12),add(X_12,X_11)) )],[refute_0_812,refute_0_813]) ).
cnf(refute_0_815,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_10,X_12),add(X_12,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_809,refute_0_814]) ).
cnf(refute_0_816,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_12,X_11))
| multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_10,X_12),add(X_12,X_11))))]]) ).
cnf(refute_0_817,plain,
multiply(add(X_10,X_12),add(X_12,X_11)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_12,X_11))) )],[refute_0_815,refute_0_816]) ).
cnf(refute_0_818,plain,
multiply(add(X_56,X_57),add(X_57,X_18)) = add(multiply(X_56,X_18),X_57),
inference(subst,[],[refute_0_817:[bind(X_10,$fot(X_56)),bind(X_11,$fot(X_18)),bind(X_12,$fot(X_57))]]) ).
cnf(refute_0_819,plain,
( multiply(add(X_56,X_57),add(X_57,X_18)) != add(multiply(X_56,X_18),X_57)
| multiply(add(X_56,X_57),add(X_57,X_18)) != add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))
| add(multiply(X_56,X_18),X_57) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_57,X_18)),add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))) ),[0],$fot(add(multiply(X_56,X_18),X_57))]]) ).
cnf(refute_0_820,plain,
( multiply(add(X_56,X_57),add(X_57,X_18)) != add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))
| add(multiply(X_56,X_18),X_57) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_57,X_18)),add(multiply(X_56,X_18),X_57)) )],[refute_0_818,refute_0_819]) ).
cnf(refute_0_821,plain,
add(multiply(X_56,X_18),X_57) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_57,X_18)),add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))) )],[refute_0_808,refute_0_820]) ).
cnf(refute_0_822,plain,
add(multiply(X_56,add(X_57,X_18)),X_57) = add(X_57,multiply(X_56,add(X_57,X_18))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(multiply(X_56,add(X_57,X_18)))),bind(X_55,$fot(X_57))]]) ).
cnf(refute_0_823,plain,
add(additive_identity,X_57) = X_57,
inference(subst,[],[additive_id2:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_824,plain,
multiply(additive_identity,X_18) = additive_identity,
inference(subst,[],[refute_0_313:[bind(X_57,$fot(X_18))]]) ).
cnf(refute_0_825,plain,
add(multiply(additive_identity,X_18),X_57) = add(multiply(additive_identity,X_18),X_57),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,X_18),X_57))]]) ).
cnf(refute_0_826,plain,
( multiply(additive_identity,X_18) != additive_identity
| add(multiply(additive_identity,X_18),X_57) != add(multiply(additive_identity,X_18),X_57)
| add(multiply(additive_identity,X_18),X_57) = add(additive_identity,X_57) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,X_18),X_57),add(multiply(additive_identity,X_18),X_57)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_827,plain,
( multiply(additive_identity,X_18) != additive_identity
| add(multiply(additive_identity,X_18),X_57) = add(additive_identity,X_57) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X_57),add(multiply(additive_identity,X_18),X_57)) )],[refute_0_825,refute_0_826]) ).
cnf(refute_0_828,plain,
add(multiply(additive_identity,X_18),X_57) = add(additive_identity,X_57),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_18),additive_identity) )],[refute_0_824,refute_0_827]) ).
cnf(refute_0_829,plain,
( add(multiply(additive_identity,X_18),X_57) != add(additive_identity,X_57)
| add(additive_identity,X_57) != X_57
| add(multiply(additive_identity,X_18),X_57) = X_57 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,X_18),X_57))),bind(Y0,$fot(add(additive_identity,X_57))),bind(Z0,$fot(X_57))]]) ).
cnf(refute_0_830,plain,
( add(additive_identity,X_57) != X_57
| add(multiply(additive_identity,X_18),X_57) = X_57 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X_57),add(additive_identity,X_57)) )],[refute_0_828,refute_0_829]) ).
cnf(refute_0_831,plain,
add(multiply(additive_identity,X_18),X_57) = X_57,
inference(resolve,[$cnf( $equal(add(additive_identity,X_57),X_57) )],[refute_0_823,refute_0_830]) ).
cnf(refute_0_832,plain,
add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),
introduced(tautology,[refl,[$fot(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)))]]) ).
cnf(refute_0_833,plain,
( add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) != add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))
| add(multiply(additive_identity,X_18),X_57) != X_57
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(multiply(X_56,add(X_57,X_18)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))) ),[1,1],$fot(X_57)]]) ).
cnf(refute_0_834,plain,
( add(multiply(additive_identity,X_18),X_57) != X_57
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(multiply(X_56,add(X_57,X_18)),X_57) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))) )],[refute_0_832,refute_0_833]) ).
cnf(refute_0_835,plain,
add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(multiply(X_56,add(X_57,X_18)),X_57),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,X_18),X_57),X_57) )],[refute_0_831,refute_0_834]) ).
cnf(refute_0_836,plain,
( add(multiply(X_56,add(X_57,X_18)),X_57) != add(X_57,multiply(X_56,add(X_57,X_18)))
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) != add(multiply(X_56,add(X_57,X_18)),X_57)
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(X_57,multiply(X_56,add(X_57,X_18))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)))),bind(Y0,$fot(add(multiply(X_56,add(X_57,X_18)),X_57))),bind(Z0,$fot(add(X_57,multiply(X_56,add(X_57,X_18)))))]]) ).
cnf(refute_0_837,plain,
( add(multiply(X_56,add(X_57,X_18)),X_57) != add(X_57,multiply(X_56,add(X_57,X_18)))
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(X_57,multiply(X_56,add(X_57,X_18))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),add(multiply(X_56,add(X_57,X_18)),X_57)) )],[refute_0_835,refute_0_836]) ).
cnf(refute_0_838,plain,
add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) = add(X_57,multiply(X_56,add(X_57,X_18))),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_57,X_18)),X_57),add(X_57,multiply(X_56,add(X_57,X_18)))) )],[refute_0_822,refute_0_837]) ).
cnf(refute_0_839,plain,
( add(multiply(X_56,X_18),X_57) != add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))
| add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)) != add(X_57,multiply(X_56,add(X_57,X_18)))
| add(multiply(X_56,X_18),X_57) = add(X_57,multiply(X_56,add(X_57,X_18))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_56,X_18),X_57),add(X_57,multiply(X_56,add(X_57,X_18)))) ),[0],$fot(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)))]]) ).
cnf(refute_0_840,plain,
( add(multiply(X_56,X_18),X_57) != add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))
| add(multiply(X_56,X_18),X_57) = add(X_57,multiply(X_56,add(X_57,X_18))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57)),add(X_57,multiply(X_56,add(X_57,X_18)))) )],[refute_0_838,refute_0_839]) ).
cnf(refute_0_841,plain,
add(multiply(X_56,X_18),X_57) = add(X_57,multiply(X_56,add(X_57,X_18))),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_18),X_57),add(multiply(X_56,add(X_57,X_18)),add(multiply(additive_identity,X_18),X_57))) )],[refute_0_821,refute_0_840]) ).
cnf(refute_0_842,plain,
( add(multiply(X_56,X_18),X_57) != add(X_57,multiply(X_56,add(X_57,X_18)))
| add(X_57,multiply(X_56,add(X_57,X_18))) = add(multiply(X_56,X_18),X_57) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_56,X_18),X_57))),bind(Y0,$fot(add(X_57,multiply(X_56,add(X_57,X_18)))))]]) ).
cnf(refute_0_843,plain,
add(X_57,multiply(X_56,add(X_57,X_18))) = add(multiply(X_56,X_18),X_57),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_18),X_57),add(X_57,multiply(X_56,add(X_57,X_18)))) )],[refute_0_841,refute_0_842]) ).
cnf(refute_0_844,plain,
add(X_56,multiply(X_57,add(X_56,X_13))) = add(multiply(X_57,X_13),X_56),
inference(subst,[],[refute_0_843:[bind(X_18,$fot(X_13)),bind(X_56,$fot(X_57)),bind(X_57,$fot(X_56))]]) ).
cnf(refute_0_845,plain,
add(additive_identity,X_56) = X_56,
inference(subst,[],[additive_id2:[bind(X,$fot(X_56))]]) ).
cnf(refute_0_846,plain,
multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) = multiply(X_10,additive_identity),
inference(subst,[],[refute_0_722:[bind(Y,$fot(multiply(X_10,additive_identity)))]]) ).
cnf(refute_0_847,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(X_10,additive_identity)
| multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) ),[0],$fot(multiply(X_10,additive_identity))]]) ).
cnf(refute_0_848,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = multiply(additive_identity,X_10) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(X_10,additive_identity)) )],[refute_0_846,refute_0_847]) ).
cnf(refute_0_849,plain,
multiply(additive_identity,X_10) = additive_identity,
inference(subst,[],[refute_0_313:[bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_850,plain,
( multiply(X_10,additive_identity) != multiply(additive_identity,X_10)
| multiply(additive_identity,X_10) != additive_identity
| multiply(X_10,additive_identity) = additive_identity ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,additive_identity),additive_identity) ),[0],$fot(multiply(additive_identity,X_10))]]) ).
cnf(refute_0_851,plain,
( multiply(X_10,additive_identity) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_10),additive_identity) )],[refute_0_849,refute_0_850]) ).
cnf(refute_0_852,plain,
( multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)) != multiply(additive_identity,X_10)
| multiply(X_10,additive_identity) = additive_identity ),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),multiply(additive_identity,X_10)) )],[refute_0_848,refute_0_851]) ).
cnf(refute_0_853,plain,
multiply(X_10,additive_identity) = additive_identity,
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),multiply(additive_identity,X_10)) )],[refute_0_306,refute_0_852]) ).
cnf(refute_0_854,plain,
multiply(X_13,additive_identity) = additive_identity,
inference(subst,[],[refute_0_853:[bind(X_10,$fot(X_13))]]) ).
cnf(refute_0_855,plain,
add(multiply(X_13,additive_identity),X_56) = add(multiply(X_13,additive_identity),X_56),
introduced(tautology,[refl,[$fot(add(multiply(X_13,additive_identity),X_56))]]) ).
cnf(refute_0_856,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(multiply(X_13,additive_identity),X_56) != add(multiply(X_13,additive_identity),X_56)
| add(multiply(X_13,additive_identity),X_56) = add(additive_identity,X_56) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_13,additive_identity),X_56),add(multiply(X_13,additive_identity),X_56)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_857,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(multiply(X_13,additive_identity),X_56) = add(additive_identity,X_56) ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_56),add(multiply(X_13,additive_identity),X_56)) )],[refute_0_855,refute_0_856]) ).
cnf(refute_0_858,plain,
add(multiply(X_13,additive_identity),X_56) = add(additive_identity,X_56),
inference(resolve,[$cnf( $equal(multiply(X_13,additive_identity),additive_identity) )],[refute_0_854,refute_0_857]) ).
cnf(refute_0_859,plain,
( add(multiply(X_13,additive_identity),X_56) != add(additive_identity,X_56)
| add(additive_identity,X_56) != X_56
| add(multiply(X_13,additive_identity),X_56) = X_56 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_13,additive_identity),X_56))),bind(Y0,$fot(add(additive_identity,X_56))),bind(Z0,$fot(X_56))]]) ).
cnf(refute_0_860,plain,
( add(additive_identity,X_56) != X_56
| add(multiply(X_13,additive_identity),X_56) = X_56 ),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_56),add(additive_identity,X_56)) )],[refute_0_858,refute_0_859]) ).
cnf(refute_0_861,plain,
add(multiply(X_13,additive_identity),X_56) = X_56,
inference(resolve,[$cnf( $equal(add(additive_identity,X_56),X_56) )],[refute_0_845,refute_0_860]) ).
cnf(refute_0_862,plain,
add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),
introduced(tautology,[refl,[$fot(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))))]]) ).
cnf(refute_0_863,plain,
( add(multiply(X_13,additive_identity),X_56) != X_56
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) != add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(X_56,multiply(X_57,add(X_56,X_13))) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))) ),[1,0],$fot(X_56)]]) ).
cnf(refute_0_864,plain,
( add(multiply(X_13,additive_identity),X_56) != X_56
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(X_56,multiply(X_57,add(X_56,X_13))) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))) )],[refute_0_862,refute_0_863]) ).
cnf(refute_0_865,plain,
add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(X_56,multiply(X_57,add(X_56,X_13))),
inference(resolve,[$cnf( $equal(add(multiply(X_13,additive_identity),X_56),X_56) )],[refute_0_861,refute_0_864]) ).
cnf(refute_0_866,plain,
( add(X_56,multiply(X_57,add(X_56,X_13))) != add(multiply(X_57,X_13),X_56)
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) != add(X_56,multiply(X_57,add(X_56,X_13)))
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(multiply(X_57,X_13),X_56) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))))),bind(Y0,$fot(add(X_56,multiply(X_57,add(X_56,X_13))))),bind(Z0,$fot(add(multiply(X_57,X_13),X_56)))]]) ).
cnf(refute_0_867,plain,
( add(X_56,multiply(X_57,add(X_56,X_13))) != add(multiply(X_57,X_13),X_56)
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(multiply(X_57,X_13),X_56) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),add(X_56,multiply(X_57,add(X_56,X_13)))) )],[refute_0_865,refute_0_866]) ).
cnf(refute_0_868,plain,
add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) = add(multiply(X_57,X_13),X_56),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_57,add(X_56,X_13))),add(multiply(X_57,X_13),X_56)) )],[refute_0_844,refute_0_867]) ).
cnf(refute_0_869,plain,
( add(X_56,multiply(X_57,X_13)) != add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))
| add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))) != add(multiply(X_57,X_13),X_56)
| add(X_56,multiply(X_57,X_13)) = add(multiply(X_57,X_13),X_56) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_56,multiply(X_57,X_13)),add(multiply(X_57,X_13),X_56)) ),[0],$fot(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))))]]) ).
cnf(refute_0_870,plain,
( add(X_56,multiply(X_57,X_13)) != add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))
| add(X_56,multiply(X_57,X_13)) = add(multiply(X_57,X_13),X_56) ),
inference(resolve,[$cnf( $equal(add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13))),add(multiply(X_57,X_13),X_56)) )],[refute_0_868,refute_0_869]) ).
cnf(refute_0_871,plain,
add(X_56,multiply(X_57,X_13)) = add(multiply(X_57,X_13),X_56),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_57,X_13)),add(add(multiply(X_13,additive_identity),X_56),multiply(X_57,add(X_56,X_13)))) )],[refute_0_794,refute_0_870]) ).
cnf(refute_0_872,plain,
( add(X_56,multiply(X_57,X_13)) != add(multiply(X_57,X_13),X_56)
| add(multiply(X_57,X_13),X_56) = add(X_56,multiply(X_57,X_13)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_56,multiply(X_57,X_13)))),bind(Y0,$fot(add(multiply(X_57,X_13),X_56)))]]) ).
cnf(refute_0_873,plain,
add(multiply(X_57,X_13),X_56) = add(X_56,multiply(X_57,X_13)),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_57,X_13)),add(multiply(X_57,X_13),X_56)) )],[refute_0_871,refute_0_872]) ).
cnf(refute_0_874,plain,
add(multiply(X_76,X_77),additive_identity) = add(additive_identity,multiply(X_76,X_77)),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(X_77)),bind(X_56,$fot(additive_identity)),bind(X_57,$fot(X_76))]]) ).
cnf(refute_0_875,plain,
( add(multiply(X_76,X_77),additive_identity) != add(additive_identity,multiply(X_76,X_77))
| add(additive_identity,multiply(X_76,X_77)) != multiply(X_76,X_77)
| add(multiply(X_76,X_77),additive_identity) = multiply(X_76,X_77) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_76,X_77),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X_76,X_77)))),bind(Z0,$fot(multiply(X_76,X_77)))]]) ).
cnf(refute_0_876,plain,
( add(additive_identity,multiply(X_76,X_77)) != multiply(X_76,X_77)
| add(multiply(X_76,X_77),additive_identity) = multiply(X_76,X_77) ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),additive_identity),add(additive_identity,multiply(X_76,X_77))) )],[refute_0_874,refute_0_875]) ).
cnf(refute_0_877,plain,
add(multiply(X_76,X_77),additive_identity) = multiply(X_76,X_77),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X_76,X_77)),multiply(X_76,X_77)) )],[refute_0_776,refute_0_876]) ).
cnf(refute_0_878,plain,
( multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) != add(multiply(X_76,X_77),additive_identity)
| add(multiply(X_76,X_77),additive_identity) != multiply(X_76,X_77)
| multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = multiply(X_76,X_77) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_76,add(X_77,inverse(add(X_70,X_76)))),multiply(X_76,X_77)) ),[0],$fot(add(multiply(X_76,X_77),additive_identity))]]) ).
cnf(refute_0_879,plain,
( multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) != add(multiply(X_76,X_77),additive_identity)
| multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = multiply(X_76,X_77) ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),additive_identity),multiply(X_76,X_77)) )],[refute_0_877,refute_0_878]) ).
cnf(refute_0_880,plain,
multiply(X_76,add(X_77,inverse(add(X_70,X_76)))) = multiply(X_76,X_77),
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_77,inverse(add(X_70,X_76)))),add(multiply(X_76,X_77),additive_identity)) )],[refute_0_775,refute_0_879]) ).
cnf(refute_0_881,plain,
multiply(multiply(X_105,X_70),add(X_77,inverse(add(X_70,multiply(X_105,X_70))))) = multiply(multiply(X_105,X_70),X_77),
inference(subst,[],[refute_0_880:[bind(X_76,$fot(multiply(X_105,X_70)))]]) ).
cnf(refute_0_882,plain,
multiply(Z,add(Z,Y)) = Z,
inference(subst,[],[refute_0_164:[bind(X_56,$fot(Y)),bind(X_58,$fot(Z))]]) ).
cnf(refute_0_883,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_884,plain,
( add(Z,multiply(Y,Z)) != multiply(Z,add(Z,Y))
| add(Z,multiply(Y,Z)) = Z ),
inference(resolve,[$cnf( $equal(multiply(Z,add(Z,Y)),Z) )],[refute_0_882,refute_0_883]) ).
cnf(refute_0_885,plain,
add(Z,multiply(Y,Z)) = Z,
inference(resolve,[$cnf( $equal(add(Z,multiply(Y,Z)),multiply(Z,add(Z,Y))) )],[refute_0_153,refute_0_884]) ).
cnf(refute_0_886,plain,
add(X_70,multiply(X_105,X_70)) = X_70,
inference(subst,[],[refute_0_885:[bind(Y,$fot(X_105)),bind(Z,$fot(X_70))]]) ).
cnf(refute_0_887,plain,
( multiply(multiply(X_105,X_70),add(X_77,inverse(add(X_70,multiply(X_105,X_70))))) != multiply(multiply(X_105,X_70),X_77)
| add(X_70,multiply(X_105,X_70)) != X_70
| multiply(multiply(X_105,X_70),add(X_77,inverse(X_70))) = multiply(multiply(X_105,X_70),X_77) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_105,X_70),add(X_77,inverse(add(X_70,multiply(X_105,X_70))))),multiply(multiply(X_105,X_70),X_77)) ),[0,1,1,0],$fot(X_70)]]) ).
cnf(refute_0_888,plain,
( multiply(multiply(X_105,X_70),add(X_77,inverse(add(X_70,multiply(X_105,X_70))))) != multiply(multiply(X_105,X_70),X_77)
| multiply(multiply(X_105,X_70),add(X_77,inverse(X_70))) = multiply(multiply(X_105,X_70),X_77) ),
inference(resolve,[$cnf( $equal(add(X_70,multiply(X_105,X_70)),X_70) )],[refute_0_886,refute_0_887]) ).
cnf(refute_0_889,plain,
multiply(multiply(X_105,X_70),add(X_77,inverse(X_70))) = multiply(multiply(X_105,X_70),X_77),
inference(resolve,[$cnf( $equal(multiply(multiply(X_105,X_70),add(X_77,inverse(add(X_70,multiply(X_105,X_70))))),multiply(multiply(X_105,X_70),X_77)) )],[refute_0_881,refute_0_888]) ).
cnf(refute_0_890,plain,
multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) = multiply(multiply(X_37,X_38),X_37),
inference(subst,[],[refute_0_889:[bind(X_105,$fot(X_37)),bind(X_70,$fot(X_38)),bind(X_77,$fot(X_37))]]) ).
cnf(refute_0_891,plain,
( multiply(multiply(X_37,X_38),X_37) != multiply(X_38,X_37)
| multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) != multiply(multiply(X_37,X_38),X_37)
| multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) = multiply(X_38,X_37) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))))),bind(Y0,$fot(multiply(multiply(X_37,X_38),X_37))),bind(Z0,$fot(multiply(X_38,X_37)))]]) ).
cnf(refute_0_892,plain,
( multiply(multiply(X_37,X_38),X_37) != multiply(X_38,X_37)
| multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) = multiply(X_38,X_37) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))),multiply(multiply(X_37,X_38),X_37)) )],[refute_0_890,refute_0_891]) ).
cnf(refute_0_893,plain,
multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) = multiply(X_38,X_37),
inference(resolve,[$cnf( $equal(multiply(multiply(X_37,X_38),X_37),multiply(X_38,X_37)) )],[refute_0_371,refute_0_892]) ).
cnf(refute_0_894,plain,
( multiply(X_37,X_38) != multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))
| multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))) != multiply(X_38,X_37)
| multiply(X_37,X_38) = multiply(X_38,X_37) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_37,X_38),multiply(X_38,X_37)) ),[0],$fot(multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))))]]) ).
cnf(refute_0_895,plain,
( multiply(X_37,X_38) != multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))
| multiply(X_37,X_38) = multiply(X_38,X_37) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_37,X_38),add(X_37,inverse(X_38))),multiply(X_38,X_37)) )],[refute_0_893,refute_0_894]) ).
cnf(refute_0_896,plain,
multiply(X_37,X_38) = multiply(X_38,X_37),
inference(resolve,[$cnf( $equal(multiply(X_37,X_38),multiply(multiply(X_37,X_38),add(X_37,inverse(X_38)))) )],[refute_0_324,refute_0_895]) ).
cnf(refute_0_897,plain,
( multiply(X_37,X_38) != multiply(X_38,X_37)
| multiply(X_38,X_37) = multiply(X_37,X_38) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_37,X_38))),bind(Y0,$fot(multiply(X_38,X_37)))]]) ).
cnf(refute_0_898,plain,
multiply(X_38,X_37) = multiply(X_37,X_38),
inference(resolve,[$cnf( $equal(multiply(X_37,X_38),multiply(X_38,X_37)) )],[refute_0_896,refute_0_897]) ).
cnf(refute_0_899,plain,
multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(inverse(multiply(X_226,inverse(X_11))))),bind(X_38,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_900,plain,
( multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) ),[0],$fot(multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))))]]) ).
cnf(refute_0_901,plain,
( multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_899,refute_0_900]) ).
cnf(refute_0_902,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))) != multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))) )],[refute_0_67,refute_0_901]) ).
cnf(refute_0_903,plain,
multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,add(X_10,inverse(X_11)))),multiply(multiply(X_226,multiply(X_10,X_11)),inverse(multiply(X_226,inverse(X_11))))) )],[refute_0_47,refute_0_902]) ).
cnf(refute_0_904,plain,
multiply(inverse(X_56),add(X_56,multiply(X_235,multiply(inverse(X_56),X_236)))) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)),
inference(subst,[],[refute_0_21:[bind(X_57,$fot(multiply(X_235,multiply(inverse(X_56),X_236))))]]) ).
cnf(refute_0_905,plain,
add(X,multiply(Y,multiply(inverse(X),X_30))) = multiply(add(X,Y),add(X,multiply(inverse(X),X_30))),
inference(subst,[],[distributivity2:[bind(Z,$fot(multiply(inverse(X),X_30)))]]) ).
cnf(refute_0_906,plain,
add(X,multiply(inverse(X),X_30)) = add(X,X_30),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X)),bind(X_23,$fot(X_30))]]) ).
cnf(refute_0_907,plain,
( add(X,multiply(Y,multiply(inverse(X),X_30))) != multiply(add(X,Y),add(X,multiply(inverse(X),X_30)))
| add(X,multiply(inverse(X),X_30)) != add(X,X_30)
| add(X,multiply(Y,multiply(inverse(X),X_30))) = multiply(add(X,Y),add(X,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(inverse(X),X_30))),multiply(add(X,Y),add(X,multiply(inverse(X),X_30)))) ),[1,1],$fot(add(X,X_30))]]) ).
cnf(refute_0_908,plain,
( add(X,multiply(Y,multiply(inverse(X),X_30))) != multiply(add(X,Y),add(X,multiply(inverse(X),X_30)))
| add(X,multiply(Y,multiply(inverse(X),X_30))) = multiply(add(X,Y),add(X,X_30)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),X_30)),add(X,X_30)) )],[refute_0_906,refute_0_907]) ).
cnf(refute_0_909,plain,
add(X,multiply(Y,multiply(inverse(X),X_30))) = multiply(add(X,Y),add(X,X_30)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(inverse(X),X_30))),multiply(add(X,Y),add(X,multiply(inverse(X),X_30)))) )],[refute_0_905,refute_0_908]) ).
cnf(refute_0_910,plain,
multiply(add(X,Y),add(X,X_30)) = add(X,multiply(Y,X_30)),
inference(subst,[],[refute_0_482:[bind(Z,$fot(X_30))]]) ).
cnf(refute_0_911,plain,
( multiply(add(X,Y),add(X,X_30)) != add(X,multiply(Y,X_30))
| add(X,multiply(Y,multiply(inverse(X),X_30))) != multiply(add(X,Y),add(X,X_30))
| add(X,multiply(Y,multiply(inverse(X),X_30))) = add(X,multiply(Y,X_30)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(inverse(X),X_30))),multiply(add(X,Y),add(X,X_30))) ),[1],$fot(add(X,multiply(Y,X_30)))]]) ).
cnf(refute_0_912,plain,
( add(X,multiply(Y,multiply(inverse(X),X_30))) != multiply(add(X,Y),add(X,X_30))
| add(X,multiply(Y,multiply(inverse(X),X_30))) = add(X,multiply(Y,X_30)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,X_30)),add(X,multiply(Y,X_30))) )],[refute_0_910,refute_0_911]) ).
cnf(refute_0_913,plain,
add(X,multiply(Y,multiply(inverse(X),X_30))) = add(X,multiply(Y,X_30)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(inverse(X),X_30))),multiply(add(X,Y),add(X,X_30))) )],[refute_0_909,refute_0_912]) ).
cnf(refute_0_914,plain,
add(X_56,multiply(X_235,multiply(inverse(X_56),X_236))) = add(X_56,multiply(X_235,X_236)),
inference(subst,[],[refute_0_913:[bind(X,$fot(X_56)),bind(Y,$fot(X_235)),bind(X_30,$fot(X_236))]]) ).
cnf(refute_0_915,plain,
( multiply(inverse(X_56),add(X_56,multiply(X_235,multiply(inverse(X_56),X_236)))) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| add(X_56,multiply(X_235,multiply(inverse(X_56),X_236))) != add(X_56,multiply(X_235,X_236))
| multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),add(X_56,multiply(X_235,multiply(inverse(X_56),X_236)))),multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))) ),[0,1],$fot(add(X_56,multiply(X_235,X_236)))]]) ).
cnf(refute_0_916,plain,
( multiply(inverse(X_56),add(X_56,multiply(X_235,multiply(inverse(X_56),X_236)))) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) ),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_235,multiply(inverse(X_56),X_236))),add(X_56,multiply(X_235,X_236))) )],[refute_0_914,refute_0_915]) ).
cnf(refute_0_917,plain,
multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,multiply(X_235,multiply(inverse(X_56),X_236)))),multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))) )],[refute_0_904,refute_0_916]) ).
cnf(refute_0_918,plain,
multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) = multiply(multiply(X_235,X_236),inverse(X_56)),
inference(subst,[],[refute_0_21:[bind(X_57,$fot(multiply(X_235,X_236)))]]) ).
cnf(refute_0_919,plain,
( multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) != multiply(multiply(X_235,X_236),inverse(X_56))
| multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))),multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))) ),[0],$fot(multiply(multiply(X_235,X_236),inverse(X_56)))]]) ).
cnf(refute_0_920,plain,
( multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))),multiply(multiply(X_235,X_236),inverse(X_56))) )],[refute_0_918,refute_0_919]) ).
cnf(refute_0_921,plain,
multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) = multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(inverse(X_56))),bind(X_38,$fot(multiply(X_235,multiply(inverse(X_56),X_236))))]]) ).
cnf(refute_0_922,plain,
( multiply(multiply(X_235,X_236),inverse(X_56)) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)) != multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_235,X_236),inverse(X_56)),multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))) ),[0],$fot(multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)))]]) ).
cnf(refute_0_923,plain,
( multiply(multiply(X_235,X_236),inverse(X_56)) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56)),multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))) )],[refute_0_921,refute_0_922]) ).
cnf(refute_0_924,plain,
( multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))) != multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_235,X_236),inverse(X_56)),multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))) )],[refute_0_920,refute_0_923]) ).
cnf(refute_0_925,plain,
multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,multiply(X_235,X_236))),multiply(multiply(X_235,multiply(inverse(X_56),X_236)),inverse(X_56))) )],[refute_0_917,refute_0_924]) ).
cnf(refute_0_926,plain,
multiply(X_238,multiply(X_56,X_239)) = multiply(multiply(X_238,multiply(X_56,X_239)),add(X_56,multiply(X_238,multiply(X_56,X_239)))),
inference(subst,[],[refute_0_661:[bind(X_23,$fot(multiply(X_238,multiply(X_56,X_239))))]]) ).
cnf(refute_0_927,plain,
add(X_234,multiply(X_235,multiply(inverse(X_234),multiply(X_234,X_87)))) = add(X_234,multiply(X_235,multiply(X_234,X_87))),
inference(subst,[],[refute_0_913:[bind(X,$fot(X_234)),bind(Y,$fot(X_235)),bind(X_30,$fot(multiply(X_234,X_87)))]]) ).
cnf(refute_0_928,plain,
additive_identity = multiply(multiply(X_76,X_78),inverse(add(multiply(X_76,X_77),multiply(X_76,X_78)))),
inference(subst,[],[refute_0_769:[bind(X_56,$fot(multiply(X_76,X_78))),bind(X_70,$fot(multiply(X_76,X_77)))]]) ).
cnf(refute_0_929,plain,
( add(multiply(X_76,X_77),multiply(X_76,X_78)) != multiply(X_76,add(X_77,X_78))
| additive_identity != multiply(multiply(X_76,X_78),inverse(add(multiply(X_76,X_77),multiply(X_76,X_78))))
| additive_identity = multiply(multiply(X_76,X_78),inverse(multiply(X_76,add(X_77,X_78)))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_76,X_78),inverse(add(multiply(X_76,X_77),multiply(X_76,X_78))))) ),[1,1,0],$fot(multiply(X_76,add(X_77,X_78)))]]) ).
cnf(refute_0_930,plain,
( additive_identity != multiply(multiply(X_76,X_78),inverse(add(multiply(X_76,X_77),multiply(X_76,X_78))))
| additive_identity = multiply(multiply(X_76,X_78),inverse(multiply(X_76,add(X_77,X_78)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),multiply(X_76,X_78)),multiply(X_76,add(X_77,X_78))) )],[refute_0_25,refute_0_929]) ).
cnf(refute_0_931,plain,
additive_identity = multiply(multiply(X_76,X_78),inverse(multiply(X_76,add(X_77,X_78)))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_76,X_78),inverse(add(multiply(X_76,X_77),multiply(X_76,X_78))))) )],[refute_0_928,refute_0_930]) ).
cnf(refute_0_932,plain,
additive_identity = multiply(multiply(X_85,X_87),inverse(multiply(X_85,add(multiplicative_identity,X_87)))),
inference(subst,[],[refute_0_931:[bind(X_76,$fot(X_85)),bind(X_77,$fot(multiplicative_identity)),bind(X_78,$fot(X_87))]]) ).
cnf(refute_0_933,plain,
add(multiplicative_identity,Y) = add(Y,multiplicative_identity),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiplicative_identity))]]) ).
cnf(refute_0_934,plain,
multiplicative_identity = add(Y,multiplicative_identity),
inference(subst,[],[refute_0_119:[bind(X_24,$fot(Y))]]) ).
cnf(refute_0_935,plain,
( multiplicative_identity != add(Y,multiplicative_identity)
| add(Y,multiplicative_identity) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(Y,multiplicative_identity)))]]) ).
cnf(refute_0_936,plain,
add(Y,multiplicative_identity) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(Y,multiplicative_identity)) )],[refute_0_934,refute_0_935]) ).
cnf(refute_0_937,plain,
( add(Y,multiplicative_identity) != multiplicative_identity
| add(multiplicative_identity,Y) != add(Y,multiplicative_identity)
| add(multiplicative_identity,Y) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(multiplicative_identity,Y),add(Y,multiplicative_identity)) ),[1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_938,plain,
( add(multiplicative_identity,Y) != add(Y,multiplicative_identity)
| add(multiplicative_identity,Y) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(Y,multiplicative_identity),multiplicative_identity) )],[refute_0_936,refute_0_937]) ).
cnf(refute_0_939,plain,
add(multiplicative_identity,Y) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(multiplicative_identity,Y),add(Y,multiplicative_identity)) )],[refute_0_933,refute_0_938]) ).
cnf(refute_0_940,plain,
add(multiplicative_identity,X_87) = multiplicative_identity,
inference(subst,[],[refute_0_939:[bind(Y,$fot(X_87))]]) ).
cnf(refute_0_941,plain,
( add(multiplicative_identity,X_87) != multiplicative_identity
| additive_identity != multiply(multiply(X_85,X_87),inverse(multiply(X_85,add(multiplicative_identity,X_87))))
| additive_identity = multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_85,X_87),inverse(multiply(X_85,add(multiplicative_identity,X_87))))) ),[1,1,0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_942,plain,
( additive_identity != multiply(multiply(X_85,X_87),inverse(multiply(X_85,add(multiplicative_identity,X_87))))
| additive_identity = multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) ),
inference(resolve,[$cnf( $equal(add(multiplicative_identity,X_87),multiplicative_identity) )],[refute_0_940,refute_0_941]) ).
cnf(refute_0_943,plain,
additive_identity = multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_85,X_87),inverse(multiply(X_85,add(multiplicative_identity,X_87))))) )],[refute_0_932,refute_0_942]) ).
cnf(refute_0_944,plain,
multiply(multiply(X_85,X_87),inverse(X_85)) = multiply(inverse(X_85),multiply(X_85,X_87)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_85))),bind(Y,$fot(multiply(X_85,X_87)))]]) ).
cnf(refute_0_945,plain,
multiply(X_85,multiplicative_identity) = X_85,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_85))]]) ).
cnf(refute_0_946,plain,
inverse(multiply(X_85,multiplicative_identity)) = inverse(multiply(X_85,multiplicative_identity)),
introduced(tautology,[refl,[$fot(inverse(multiply(X_85,multiplicative_identity)))]]) ).
cnf(refute_0_947,plain,
( multiply(X_85,multiplicative_identity) != X_85
| inverse(multiply(X_85,multiplicative_identity)) != inverse(multiply(X_85,multiplicative_identity))
| inverse(multiply(X_85,multiplicative_identity)) = inverse(X_85) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_85,multiplicative_identity)),inverse(multiply(X_85,multiplicative_identity))) ),[1,0],$fot(X_85)]]) ).
cnf(refute_0_948,plain,
( multiply(X_85,multiplicative_identity) != X_85
| inverse(multiply(X_85,multiplicative_identity)) = inverse(X_85) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_85,multiplicative_identity)),inverse(multiply(X_85,multiplicative_identity))) )],[refute_0_946,refute_0_947]) ).
cnf(refute_0_949,plain,
inverse(multiply(X_85,multiplicative_identity)) = inverse(X_85),
inference(resolve,[$cnf( $equal(multiply(X_85,multiplicative_identity),X_85) )],[refute_0_945,refute_0_948]) ).
cnf(refute_0_950,plain,
multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))))]]) ).
cnf(refute_0_951,plain,
( multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) != multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))
| inverse(multiply(X_85,multiplicative_identity)) != inverse(X_85)
| multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(multiply(X_85,X_87),inverse(X_85)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))) ),[1,1],$fot(inverse(X_85))]]) ).
cnf(refute_0_952,plain,
( inverse(multiply(X_85,multiplicative_identity)) != inverse(X_85)
| multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(multiply(X_85,X_87),inverse(X_85)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))) )],[refute_0_950,refute_0_951]) ).
cnf(refute_0_953,plain,
multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(multiply(X_85,X_87),inverse(X_85)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_85,multiplicative_identity)),inverse(X_85)) )],[refute_0_949,refute_0_952]) ).
cnf(refute_0_954,plain,
( multiply(multiply(X_85,X_87),inverse(X_85)) != multiply(inverse(X_85),multiply(X_85,X_87))
| multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) != multiply(multiply(X_85,X_87),inverse(X_85))
| multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(inverse(X_85),multiply(X_85,X_87)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))))),bind(Y0,$fot(multiply(multiply(X_85,X_87),inverse(X_85)))),bind(Z0,$fot(multiply(inverse(X_85),multiply(X_85,X_87))))]]) ).
cnf(refute_0_955,plain,
( multiply(multiply(X_85,X_87),inverse(X_85)) != multiply(inverse(X_85),multiply(X_85,X_87))
| multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(inverse(X_85),multiply(X_85,X_87)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),multiply(multiply(X_85,X_87),inverse(X_85))) )],[refute_0_953,refute_0_954]) ).
cnf(refute_0_956,plain,
multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) = multiply(inverse(X_85),multiply(X_85,X_87)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,X_87),inverse(X_85)),multiply(inverse(X_85),multiply(X_85,X_87))) )],[refute_0_944,refute_0_955]) ).
cnf(refute_0_957,plain,
( multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))) != multiply(inverse(X_85),multiply(X_85,X_87))
| additive_identity != multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))
| additive_identity = multiply(inverse(X_85),multiply(X_85,X_87)) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))) ),[1],$fot(multiply(inverse(X_85),multiply(X_85,X_87)))]]) ).
cnf(refute_0_958,plain,
( additive_identity != multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))
| additive_identity = multiply(inverse(X_85),multiply(X_85,X_87)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity))),multiply(inverse(X_85),multiply(X_85,X_87))) )],[refute_0_956,refute_0_957]) ).
cnf(refute_0_959,plain,
additive_identity = multiply(inverse(X_85),multiply(X_85,X_87)),
inference(resolve,[$cnf( $equal(additive_identity,multiply(multiply(X_85,X_87),inverse(multiply(X_85,multiplicative_identity)))) )],[refute_0_943,refute_0_958]) ).
cnf(refute_0_960,plain,
additive_identity = multiply(inverse(X_234),multiply(X_234,X_87)),
inference(subst,[],[refute_0_959:[bind(X_85,$fot(X_234))]]) ).
cnf(refute_0_961,plain,
( additive_identity != multiply(inverse(X_234),multiply(X_234,X_87))
| multiply(inverse(X_234),multiply(X_234,X_87)) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(inverse(X_234),multiply(X_234,X_87))))]]) ).
cnf(refute_0_962,plain,
multiply(inverse(X_234),multiply(X_234,X_87)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_234),multiply(X_234,X_87))) )],[refute_0_960,refute_0_961]) ).
cnf(refute_0_963,plain,
( multiply(inverse(X_234),multiply(X_234,X_87)) != additive_identity
| add(X_234,multiply(X_235,multiply(inverse(X_234),multiply(X_234,X_87)))) != add(X_234,multiply(X_235,multiply(X_234,X_87)))
| add(X_234,multiply(X_235,additive_identity)) = add(X_234,multiply(X_235,multiply(X_234,X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_234,multiply(X_235,multiply(inverse(X_234),multiply(X_234,X_87)))),add(X_234,multiply(X_235,multiply(X_234,X_87)))) ),[0,1,1],$fot(additive_identity)]]) ).
cnf(refute_0_964,plain,
( add(X_234,multiply(X_235,multiply(inverse(X_234),multiply(X_234,X_87)))) != add(X_234,multiply(X_235,multiply(X_234,X_87)))
| add(X_234,multiply(X_235,additive_identity)) = add(X_234,multiply(X_235,multiply(X_234,X_87))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_234),multiply(X_234,X_87)),additive_identity) )],[refute_0_962,refute_0_963]) ).
cnf(refute_0_965,plain,
add(X_234,multiply(X_235,additive_identity)) = add(X_234,multiply(X_235,multiply(X_234,X_87))),
inference(resolve,[$cnf( $equal(add(X_234,multiply(X_235,multiply(inverse(X_234),multiply(X_234,X_87)))),add(X_234,multiply(X_235,multiply(X_234,X_87)))) )],[refute_0_927,refute_0_964]) ).
cnf(refute_0_966,plain,
add(X_234,additive_identity) = X_234,
inference(subst,[],[additive_id1:[bind(X,$fot(X_234))]]) ).
cnf(refute_0_967,plain,
multiply(X_235,additive_identity) = additive_identity,
inference(subst,[],[refute_0_853:[bind(X_10,$fot(X_235))]]) ).
cnf(refute_0_968,plain,
add(X_234,multiply(X_235,additive_identity)) = add(X_234,multiply(X_235,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_234,multiply(X_235,additive_identity)))]]) ).
cnf(refute_0_969,plain,
( multiply(X_235,additive_identity) != additive_identity
| add(X_234,multiply(X_235,additive_identity)) != add(X_234,multiply(X_235,additive_identity))
| add(X_234,multiply(X_235,additive_identity)) = add(X_234,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),add(X_234,multiply(X_235,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_970,plain,
( multiply(X_235,additive_identity) != additive_identity
| add(X_234,multiply(X_235,additive_identity)) = add(X_234,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),add(X_234,multiply(X_235,additive_identity))) )],[refute_0_968,refute_0_969]) ).
cnf(refute_0_971,plain,
add(X_234,multiply(X_235,additive_identity)) = add(X_234,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_235,additive_identity),additive_identity) )],[refute_0_967,refute_0_970]) ).
cnf(refute_0_972,plain,
( add(X_234,multiply(X_235,additive_identity)) != add(X_234,additive_identity)
| add(X_234,additive_identity) != X_234
| add(X_234,multiply(X_235,additive_identity)) = X_234 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_234,multiply(X_235,additive_identity)))),bind(Y0,$fot(add(X_234,additive_identity))),bind(Z0,$fot(X_234))]]) ).
cnf(refute_0_973,plain,
( add(X_234,additive_identity) != X_234
| add(X_234,multiply(X_235,additive_identity)) = X_234 ),
inference(resolve,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),add(X_234,additive_identity)) )],[refute_0_971,refute_0_972]) ).
cnf(refute_0_974,plain,
add(X_234,multiply(X_235,additive_identity)) = X_234,
inference(resolve,[$cnf( $equal(add(X_234,additive_identity),X_234) )],[refute_0_966,refute_0_973]) ).
cnf(refute_0_975,plain,
( add(X_234,multiply(X_235,additive_identity)) != X_234
| add(X_234,multiply(X_235,additive_identity)) != add(X_234,multiply(X_235,multiply(X_234,X_87)))
| X_234 = add(X_234,multiply(X_235,multiply(X_234,X_87))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),add(X_234,multiply(X_235,multiply(X_234,X_87)))) ),[0],$fot(X_234)]]) ).
cnf(refute_0_976,plain,
( add(X_234,multiply(X_235,additive_identity)) != add(X_234,multiply(X_235,multiply(X_234,X_87)))
| X_234 = add(X_234,multiply(X_235,multiply(X_234,X_87))) ),
inference(resolve,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),X_234) )],[refute_0_974,refute_0_975]) ).
cnf(refute_0_977,plain,
X_234 = add(X_234,multiply(X_235,multiply(X_234,X_87))),
inference(resolve,[$cnf( $equal(add(X_234,multiply(X_235,additive_identity)),add(X_234,multiply(X_235,multiply(X_234,X_87)))) )],[refute_0_965,refute_0_976]) ).
cnf(refute_0_978,plain,
X_56 = add(X_56,multiply(X_238,multiply(X_56,X_239))),
inference(subst,[],[refute_0_977:[bind(X_234,$fot(X_56)),bind(X_235,$fot(X_238)),bind(X_87,$fot(X_239))]]) ).
cnf(refute_0_979,plain,
( X_56 != add(X_56,multiply(X_238,multiply(X_56,X_239)))
| add(X_56,multiply(X_238,multiply(X_56,X_239))) = X_56 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_56)),bind(Y0,$fot(add(X_56,multiply(X_238,multiply(X_56,X_239)))))]]) ).
cnf(refute_0_980,plain,
add(X_56,multiply(X_238,multiply(X_56,X_239))) = X_56,
inference(resolve,[$cnf( $equal(X_56,add(X_56,multiply(X_238,multiply(X_56,X_239)))) )],[refute_0_978,refute_0_979]) ).
cnf(refute_0_981,plain,
( multiply(X_238,multiply(X_56,X_239)) != multiply(multiply(X_238,multiply(X_56,X_239)),add(X_56,multiply(X_238,multiply(X_56,X_239))))
| add(X_56,multiply(X_238,multiply(X_56,X_239))) != X_56
| multiply(X_238,multiply(X_56,X_239)) = multiply(multiply(X_238,multiply(X_56,X_239)),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_238,multiply(X_56,X_239)),multiply(multiply(X_238,multiply(X_56,X_239)),add(X_56,multiply(X_238,multiply(X_56,X_239))))) ),[1,1],$fot(X_56)]]) ).
cnf(refute_0_982,plain,
( multiply(X_238,multiply(X_56,X_239)) != multiply(multiply(X_238,multiply(X_56,X_239)),add(X_56,multiply(X_238,multiply(X_56,X_239))))
| multiply(X_238,multiply(X_56,X_239)) = multiply(multiply(X_238,multiply(X_56,X_239)),X_56) ),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_238,multiply(X_56,X_239))),X_56) )],[refute_0_980,refute_0_981]) ).
cnf(refute_0_983,plain,
multiply(X_238,multiply(X_56,X_239)) = multiply(multiply(X_238,multiply(X_56,X_239)),X_56),
inference(resolve,[$cnf( $equal(multiply(X_238,multiply(X_56,X_239)),multiply(multiply(X_238,multiply(X_56,X_239)),add(X_56,multiply(X_238,multiply(X_56,X_239))))) )],[refute_0_926,refute_0_982]) ).
cnf(refute_0_984,plain,
multiply(X_76,add(multiply(X_10,X_76),X_78)) = add(multiply(X_76,multiply(X_10,X_76)),multiply(X_76,X_78)),
inference(subst,[],[distributivity4:[bind(X,$fot(X_76)),bind(Y,$fot(multiply(X_10,X_76))),bind(Z,$fot(X_78))]]) ).
cnf(refute_0_985,plain,
multiply(inverse(inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(inverse(X_11))),bind(X_57,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_986,plain,
( multiply(inverse(inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_11)))) ),[0,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_987,plain,
( multiply(inverse(inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_44,refute_0_986]) ).
cnf(refute_0_988,plain,
multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_11)))) )],[refute_0_985,refute_0_987]) ).
cnf(refute_0_989,plain,
inverse(inverse(X_11)) = X_11,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_11))]]) ).
cnf(refute_0_990,plain,
multiply(X_10,inverse(inverse(X_11))) = multiply(X_10,inverse(inverse(X_11))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(inverse(X_11))))]]) ).
cnf(refute_0_991,plain,
( multiply(X_10,inverse(inverse(X_11))) != multiply(X_10,inverse(inverse(X_11)))
| inverse(inverse(X_11)) != X_11
| multiply(X_10,inverse(inverse(X_11))) = multiply(X_10,X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(inverse(X_11))),multiply(X_10,inverse(inverse(X_11)))) ),[1,1],$fot(X_11)]]) ).
cnf(refute_0_992,plain,
( inverse(inverse(X_11)) != X_11
| multiply(X_10,inverse(inverse(X_11))) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(X_11))),multiply(X_10,inverse(inverse(X_11)))) )],[refute_0_990,refute_0_991]) ).
cnf(refute_0_993,plain,
multiply(X_10,inverse(inverse(X_11))) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_989,refute_0_992]) ).
cnf(refute_0_994,plain,
multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(X_10,inverse(inverse(X_11))),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(X_10)),bind(X_57,$fot(inverse(X_11)))]]) ).
cnf(refute_0_995,plain,
( multiply(X_10,inverse(inverse(X_11))) != multiply(X_10,X_11)
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) != multiply(X_10,inverse(inverse(X_11)))
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(X_10,X_11) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))))),bind(Y0,$fot(multiply(X_10,inverse(inverse(X_11))))),bind(Z0,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_996,plain,
( multiply(X_10,inverse(inverse(X_11))) != multiply(X_10,X_11)
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(X_10,X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))),multiply(X_10,inverse(inverse(X_11)))) )],[refute_0_994,refute_0_995]) ).
cnf(refute_0_997,plain,
multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(inverse(X_11))),multiply(X_10,X_11)) )],[refute_0_993,refute_0_996]) ).
cnf(refute_0_998,plain,
( multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) != multiply(X_10,X_11)
| multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(X_10,X_11) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_11)))) ),[0],$fot(multiply(X_10,X_11))]]) ).
cnf(refute_0_999,plain,
( multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(X_10,X_11) = multiply(multiply(X_10,X_11),inverse(inverse(X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))),multiply(X_10,X_11)) )],[refute_0_997,refute_0_998]) ).
cnf(refute_0_1000,plain,
multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) = multiply(inverse(inverse(X_11)),multiply(X_10,X_11)),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_11)),multiply(X_10,X_11)))]]) ).
cnf(refute_0_1001,plain,
( multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) != multiply(inverse(inverse(X_11)),multiply(X_10,X_11))
| inverse(inverse(X_11)) != X_11
| multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) = multiply(X_11,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_11)),multiply(X_10,X_11)),multiply(inverse(inverse(X_11)),multiply(X_10,X_11))) ),[1,0],$fot(X_11)]]) ).
cnf(refute_0_1002,plain,
( inverse(inverse(X_11)) != X_11
| multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) = multiply(X_11,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),multiply(X_10,X_11)),multiply(inverse(inverse(X_11)),multiply(X_10,X_11))) )],[refute_0_1000,refute_0_1001]) ).
cnf(refute_0_1003,plain,
multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) = multiply(X_11,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_11)),X_11) )],[refute_0_989,refute_0_1002]) ).
cnf(refute_0_1004,plain,
multiply(multiply(X_10,X_11),inverse(inverse(X_11))) = multiply(inverse(inverse(X_11)),multiply(X_10,X_11)),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(inverse(X_11)))),bind(Y,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_1005,plain,
( multiply(multiply(X_10,X_11),inverse(inverse(X_11))) != multiply(inverse(inverse(X_11)),multiply(X_10,X_11))
| multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) != multiply(X_11,multiply(X_10,X_11))
| multiply(multiply(X_10,X_11),inverse(inverse(X_11))) = multiply(X_11,multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_10,X_11),inverse(inverse(X_11))))),bind(Y0,$fot(multiply(inverse(inverse(X_11)),multiply(X_10,X_11)))),bind(Z0,$fot(multiply(X_11,multiply(X_10,X_11))))]]) ).
cnf(refute_0_1006,plain,
( multiply(inverse(inverse(X_11)),multiply(X_10,X_11)) != multiply(X_11,multiply(X_10,X_11))
| multiply(multiply(X_10,X_11),inverse(inverse(X_11))) = multiply(X_11,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),inverse(inverse(X_11))),multiply(inverse(inverse(X_11)),multiply(X_10,X_11))) )],[refute_0_1004,refute_0_1005]) ).
cnf(refute_0_1007,plain,
multiply(multiply(X_10,X_11),inverse(inverse(X_11))) = multiply(X_11,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),multiply(X_10,X_11)),multiply(X_11,multiply(X_10,X_11))) )],[refute_0_1003,refute_0_1006]) ).
cnf(refute_0_1008,plain,
( multiply(X_10,X_11) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(multiply(X_10,X_11),inverse(inverse(X_11))) != multiply(X_11,multiply(X_10,X_11))
| multiply(X_10,X_11) = multiply(X_11,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,X_11),multiply(X_11,multiply(X_10,X_11))) ),[0],$fot(multiply(multiply(X_10,X_11),inverse(inverse(X_11))))]]) ).
cnf(refute_0_1009,plain,
( multiply(X_10,X_11) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(X_10,X_11) = multiply(X_11,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_10,X_11),inverse(inverse(X_11))),multiply(X_11,multiply(X_10,X_11))) )],[refute_0_1007,refute_0_1008]) ).
cnf(refute_0_1010,plain,
( multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))) != multiply(multiply(X_10,X_11),inverse(inverse(X_11)))
| multiply(X_10,X_11) = multiply(X_11,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,X_11),multiply(multiply(X_10,X_11),inverse(inverse(X_11)))) )],[refute_0_999,refute_0_1009]) ).
cnf(refute_0_1011,plain,
multiply(X_10,X_11) = multiply(X_11,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_11)),add(X_10,inverse(X_11))),multiply(multiply(X_10,X_11),inverse(inverse(X_11)))) )],[refute_0_988,refute_0_1010]) ).
cnf(refute_0_1012,plain,
multiply(X_10,X_76) = multiply(X_76,multiply(X_10,X_76)),
inference(subst,[],[refute_0_1011:[bind(X_11,$fot(X_76))]]) ).
cnf(refute_0_1013,plain,
( multiply(X_10,X_76) != multiply(X_76,multiply(X_10,X_76))
| multiply(X_76,multiply(X_10,X_76)) = multiply(X_10,X_76) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,X_76))),bind(Y0,$fot(multiply(X_76,multiply(X_10,X_76))))]]) ).
cnf(refute_0_1014,plain,
multiply(X_76,multiply(X_10,X_76)) = multiply(X_10,X_76),
inference(resolve,[$cnf( $equal(multiply(X_10,X_76),multiply(X_76,multiply(X_10,X_76))) )],[refute_0_1012,refute_0_1013]) ).
cnf(refute_0_1015,plain,
( multiply(X_76,multiply(X_10,X_76)) != multiply(X_10,X_76)
| multiply(X_76,add(multiply(X_10,X_76),X_78)) != add(multiply(X_76,multiply(X_10,X_76)),multiply(X_76,X_78))
| multiply(X_76,add(multiply(X_10,X_76),X_78)) = add(multiply(X_10,X_76),multiply(X_76,X_78)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,add(multiply(X_10,X_76),X_78)),add(multiply(X_76,multiply(X_10,X_76)),multiply(X_76,X_78))) ),[1,0],$fot(multiply(X_10,X_76))]]) ).
cnf(refute_0_1016,plain,
( multiply(X_76,add(multiply(X_10,X_76),X_78)) != add(multiply(X_76,multiply(X_10,X_76)),multiply(X_76,X_78))
| multiply(X_76,add(multiply(X_10,X_76),X_78)) = add(multiply(X_10,X_76),multiply(X_76,X_78)) ),
inference(resolve,[$cnf( $equal(multiply(X_76,multiply(X_10,X_76)),multiply(X_10,X_76)) )],[refute_0_1014,refute_0_1015]) ).
cnf(refute_0_1017,plain,
multiply(X_76,add(multiply(X_10,X_76),X_78)) = add(multiply(X_10,X_76),multiply(X_76,X_78)),
inference(resolve,[$cnf( $equal(multiply(X_76,add(multiply(X_10,X_76),X_78)),add(multiply(X_76,multiply(X_10,X_76)),multiply(X_76,X_78))) )],[refute_0_984,refute_0_1016]) ).
cnf(refute_0_1018,plain,
multiply(add(X_56,X_57),X_58) = add(multiply(X_56,X_58),multiply(X_57,X_58)),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(X_58))]]) ).
cnf(refute_0_1019,plain,
multiply(X_58,X_57) = multiply(X_57,X_58),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_58)),bind(Y,$fot(X_57))]]) ).
cnf(refute_0_1020,plain,
( multiply(X_58,X_57) != multiply(X_57,X_58)
| multiply(X_57,X_58) = multiply(X_58,X_57) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_58,X_57))),bind(Y0,$fot(multiply(X_57,X_58)))]]) ).
cnf(refute_0_1021,plain,
multiply(X_57,X_58) = multiply(X_58,X_57),
inference(resolve,[$cnf( $equal(multiply(X_58,X_57),multiply(X_57,X_58)) )],[refute_0_1019,refute_0_1020]) ).
cnf(refute_0_1022,plain,
( multiply(X_57,X_58) != multiply(X_58,X_57)
| multiply(add(X_56,X_57),X_58) != add(multiply(X_56,X_58),multiply(X_57,X_58))
| multiply(add(X_56,X_57),X_58) = add(multiply(X_56,X_58),multiply(X_58,X_57)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),X_58),add(multiply(X_56,X_58),multiply(X_57,X_58))) ),[1,1],$fot(multiply(X_58,X_57))]]) ).
cnf(refute_0_1023,plain,
( multiply(add(X_56,X_57),X_58) != add(multiply(X_56,X_58),multiply(X_57,X_58))
| multiply(add(X_56,X_57),X_58) = add(multiply(X_56,X_58),multiply(X_58,X_57)) ),
inference(resolve,[$cnf( $equal(multiply(X_57,X_58),multiply(X_58,X_57)) )],[refute_0_1021,refute_0_1022]) ).
cnf(refute_0_1024,plain,
multiply(add(X_56,X_57),X_58) = add(multiply(X_56,X_58),multiply(X_58,X_57)),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),X_58),add(multiply(X_56,X_58),multiply(X_57,X_58))) )],[refute_0_1018,refute_0_1023]) ).
cnf(refute_0_1025,plain,
( multiply(add(X_56,X_57),X_58) != add(multiply(X_56,X_58),multiply(X_58,X_57))
| add(multiply(X_56,X_58),multiply(X_58,X_57)) = multiply(add(X_56,X_57),X_58) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(add(X_56,X_57),X_58))),bind(Y0,$fot(add(multiply(X_56,X_58),multiply(X_58,X_57))))]]) ).
cnf(refute_0_1026,plain,
add(multiply(X_56,X_58),multiply(X_58,X_57)) = multiply(add(X_56,X_57),X_58),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),X_58),add(multiply(X_56,X_58),multiply(X_58,X_57))) )],[refute_0_1024,refute_0_1025]) ).
cnf(refute_0_1027,plain,
add(multiply(X_10,X_76),multiply(X_76,X_78)) = multiply(add(X_10,X_78),X_76),
inference(subst,[],[refute_0_1026:[bind(X_56,$fot(X_10)),bind(X_57,$fot(X_78)),bind(X_58,$fot(X_76))]]) ).
cnf(refute_0_1028,plain,
( multiply(X_76,add(multiply(X_10,X_76),X_78)) != add(multiply(X_10,X_76),multiply(X_76,X_78))
| add(multiply(X_10,X_76),multiply(X_76,X_78)) != multiply(add(X_10,X_78),X_76)
| multiply(X_76,add(multiply(X_10,X_76),X_78)) = multiply(add(X_10,X_78),X_76) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_76,add(multiply(X_10,X_76),X_78)),multiply(add(X_10,X_78),X_76)) ),[0],$fot(add(multiply(X_10,X_76),multiply(X_76,X_78)))]]) ).
cnf(refute_0_1029,plain,
( multiply(X_76,add(multiply(X_10,X_76),X_78)) != add(multiply(X_10,X_76),multiply(X_76,X_78))
| multiply(X_76,add(multiply(X_10,X_76),X_78)) = multiply(add(X_10,X_78),X_76) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_76),multiply(X_76,X_78)),multiply(add(X_10,X_78),X_76)) )],[refute_0_1027,refute_0_1028]) ).
cnf(refute_0_1030,plain,
multiply(X_76,add(multiply(X_10,X_76),X_78)) = multiply(add(X_10,X_78),X_76),
inference(resolve,[$cnf( $equal(multiply(X_76,add(multiply(X_10,X_76),X_78)),add(multiply(X_10,X_76),multiply(X_76,X_78))) )],[refute_0_1017,refute_0_1029]) ).
cnf(refute_0_1031,plain,
multiply(X_141,add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141)))) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141),
inference(subst,[],[refute_0_1030:[bind(X_10,$fot(X_140)),bind(X_76,$fot(X_141)),bind(X_78,$fot(multiply(Y,multiply(X_140,X_141))))]]) ).
cnf(refute_0_1032,plain,
add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141))) = multiply(X_140,X_141),
inference(subst,[],[refute_0_885:[bind(Z,$fot(multiply(X_140,X_141)))]]) ).
cnf(refute_0_1033,plain,
( multiply(X_141,add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141)))) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141))) != multiply(X_140,X_141)
| multiply(X_141,multiply(X_140,X_141)) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_141,add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141)))),multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)) ),[0,1],$fot(multiply(X_140,X_141))]]) ).
cnf(refute_0_1034,plain,
( multiply(X_141,add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141)))) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(X_141,multiply(X_140,X_141)) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) ),
inference(resolve,[$cnf( $equal(add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141))),multiply(X_140,X_141)) )],[refute_0_1032,refute_0_1033]) ).
cnf(refute_0_1035,plain,
multiply(X_141,multiply(X_140,X_141)) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141),
inference(resolve,[$cnf( $equal(multiply(X_141,add(multiply(X_140,X_141),multiply(Y,multiply(X_140,X_141)))),multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)) )],[refute_0_1031,refute_0_1034]) ).
cnf(refute_0_1036,plain,
( multiply(X_10,X_11) != multiply(X_11,multiply(X_10,X_11))
| multiply(X_11,multiply(X_10,X_11)) = multiply(X_10,X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,X_11))),bind(Y0,$fot(multiply(X_11,multiply(X_10,X_11))))]]) ).
cnf(refute_0_1037,plain,
multiply(X_11,multiply(X_10,X_11)) = multiply(X_10,X_11),
inference(resolve,[$cnf( $equal(multiply(X_10,X_11),multiply(X_11,multiply(X_10,X_11))) )],[refute_0_1011,refute_0_1036]) ).
cnf(refute_0_1038,plain,
multiply(X_141,multiply(X_140,X_141)) = multiply(X_140,X_141),
inference(subst,[],[refute_0_1037:[bind(X_10,$fot(X_140)),bind(X_11,$fot(X_141))]]) ).
cnf(refute_0_1039,plain,
( multiply(X_141,multiply(X_140,X_141)) != multiply(X_140,X_141)
| multiply(X_141,multiply(X_140,X_141)) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(X_140,X_141) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_141,multiply(X_140,X_141)),multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)) ),[0],$fot(multiply(X_140,X_141))]]) ).
cnf(refute_0_1040,plain,
( multiply(X_141,multiply(X_140,X_141)) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(X_140,X_141) = multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) ),
inference(resolve,[$cnf( $equal(multiply(X_141,multiply(X_140,X_141)),multiply(X_140,X_141)) )],[refute_0_1038,refute_0_1039]) ).
cnf(refute_0_1041,plain,
multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(X_141)),bind(X_38,$fot(add(X_140,multiply(Y,multiply(X_140,X_141)))))]]) ).
cnf(refute_0_1042,plain,
( multiply(X_140,X_141) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141) != multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))
| multiply(X_140,X_141) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_140,X_141),multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))) ),[0],$fot(multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141))]]) ).
cnf(refute_0_1043,plain,
( multiply(X_140,X_141) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(X_140,X_141) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141),multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))) )],[refute_0_1041,refute_0_1042]) ).
cnf(refute_0_1044,plain,
( multiply(X_141,multiply(X_140,X_141)) != multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)
| multiply(X_140,X_141) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) ),
inference(resolve,[$cnf( $equal(multiply(X_140,X_141),multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)) )],[refute_0_1040,refute_0_1043]) ).
cnf(refute_0_1045,plain,
multiply(X_140,X_141) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),
inference(resolve,[$cnf( $equal(multiply(X_141,multiply(X_140,X_141)),multiply(add(X_140,multiply(Y,multiply(X_140,X_141))),X_141)) )],[refute_0_1035,refute_0_1044]) ).
cnf(refute_0_1046,plain,
( X_234 != add(X_234,multiply(X_235,multiply(X_234,X_87)))
| add(X_234,multiply(X_235,multiply(X_234,X_87))) = X_234 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_234)),bind(Y0,$fot(add(X_234,multiply(X_235,multiply(X_234,X_87)))))]]) ).
cnf(refute_0_1047,plain,
add(X_234,multiply(X_235,multiply(X_234,X_87))) = X_234,
inference(resolve,[$cnf( $equal(X_234,add(X_234,multiply(X_235,multiply(X_234,X_87)))) )],[refute_0_977,refute_0_1046]) ).
cnf(refute_0_1048,plain,
add(X_140,multiply(Y,multiply(X_140,X_141))) = X_140,
inference(subst,[],[refute_0_1047:[bind(X_234,$fot(X_140)),bind(X_235,$fot(Y)),bind(X_87,$fot(X_141))]]) ).
cnf(refute_0_1049,plain,
multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) = multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),
introduced(tautology,[refl,[$fot(multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))))]]) ).
cnf(refute_0_1050,plain,
( multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) != multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))
| add(X_140,multiply(Y,multiply(X_140,X_141))) != X_140
| multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) = multiply(X_141,X_140) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))) ),[1,1],$fot(X_140)]]) ).
cnf(refute_0_1051,plain,
( add(X_140,multiply(Y,multiply(X_140,X_141))) != X_140
| multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) = multiply(X_141,X_140) ),
inference(resolve,[$cnf( $equal(multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))) )],[refute_0_1049,refute_0_1050]) ).
cnf(refute_0_1052,plain,
multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) = multiply(X_141,X_140),
inference(resolve,[$cnf( $equal(add(X_140,multiply(Y,multiply(X_140,X_141))),X_140) )],[refute_0_1048,refute_0_1051]) ).
cnf(refute_0_1053,plain,
( multiply(X_140,X_141) != multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))
| multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))) != multiply(X_141,X_140)
| multiply(X_140,X_141) = multiply(X_141,X_140) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_140,X_141),multiply(X_141,X_140)) ),[0],$fot(multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))))]]) ).
cnf(refute_0_1054,plain,
( multiply(X_140,X_141) != multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))
| multiply(X_140,X_141) = multiply(X_141,X_140) ),
inference(resolve,[$cnf( $equal(multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141)))),multiply(X_141,X_140)) )],[refute_0_1052,refute_0_1053]) ).
cnf(refute_0_1055,plain,
multiply(X_140,X_141) = multiply(X_141,X_140),
inference(resolve,[$cnf( $equal(multiply(X_140,X_141),multiply(X_141,add(X_140,multiply(Y,multiply(X_140,X_141))))) )],[refute_0_1045,refute_0_1054]) ).
cnf(refute_0_1056,plain,
( multiply(X_140,X_141) != multiply(X_141,X_140)
| multiply(X_141,X_140) = multiply(X_140,X_141) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_140,X_141))),bind(Y0,$fot(multiply(X_141,X_140)))]]) ).
cnf(refute_0_1057,plain,
multiply(X_141,X_140) = multiply(X_140,X_141),
inference(resolve,[$cnf( $equal(multiply(X_140,X_141),multiply(X_141,X_140)) )],[refute_0_1055,refute_0_1056]) ).
cnf(refute_0_1058,plain,
multiply(multiply(X_238,multiply(X_56,X_239)),X_56) = multiply(X_56,multiply(X_238,multiply(X_56,X_239))),
inference(subst,[],[refute_0_1057:[bind(X_140,$fot(X_56)),bind(X_141,$fot(multiply(X_238,multiply(X_56,X_239))))]]) ).
cnf(refute_0_1059,plain,
( multiply(X_238,multiply(X_56,X_239)) != multiply(multiply(X_238,multiply(X_56,X_239)),X_56)
| multiply(multiply(X_238,multiply(X_56,X_239)),X_56) != multiply(X_56,multiply(X_238,multiply(X_56,X_239)))
| multiply(X_238,multiply(X_56,X_239)) = multiply(X_56,multiply(X_238,multiply(X_56,X_239))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_238,multiply(X_56,X_239)),multiply(X_56,multiply(X_238,multiply(X_56,X_239)))) ),[0],$fot(multiply(multiply(X_238,multiply(X_56,X_239)),X_56))]]) ).
cnf(refute_0_1060,plain,
( multiply(X_238,multiply(X_56,X_239)) != multiply(multiply(X_238,multiply(X_56,X_239)),X_56)
| multiply(X_238,multiply(X_56,X_239)) = multiply(X_56,multiply(X_238,multiply(X_56,X_239))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_238,multiply(X_56,X_239)),X_56),multiply(X_56,multiply(X_238,multiply(X_56,X_239)))) )],[refute_0_1058,refute_0_1059]) ).
cnf(refute_0_1061,plain,
multiply(X_238,multiply(X_56,X_239)) = multiply(X_56,multiply(X_238,multiply(X_56,X_239))),
inference(resolve,[$cnf( $equal(multiply(X_238,multiply(X_56,X_239)),multiply(multiply(X_238,multiply(X_56,X_239)),X_56)) )],[refute_0_983,refute_0_1060]) ).
cnf(refute_0_1062,plain,
( multiply(X_238,multiply(X_56,X_239)) != multiply(X_56,multiply(X_238,multiply(X_56,X_239)))
| multiply(X_56,multiply(X_238,multiply(X_56,X_239))) = multiply(X_238,multiply(X_56,X_239)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_238,multiply(X_56,X_239)))),bind(Y0,$fot(multiply(X_56,multiply(X_238,multiply(X_56,X_239)))))]]) ).
cnf(refute_0_1063,plain,
multiply(X_56,multiply(X_238,multiply(X_56,X_239))) = multiply(X_238,multiply(X_56,X_239)),
inference(resolve,[$cnf( $equal(multiply(X_238,multiply(X_56,X_239)),multiply(X_56,multiply(X_238,multiply(X_56,X_239)))) )],[refute_0_1061,refute_0_1062]) ).
cnf(refute_0_1064,plain,
multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))) = multiply(X_235,multiply(inverse(X_56),X_236)),
inference(subst,[],[refute_0_1063:[bind(X_238,$fot(X_235)),bind(X_239,$fot(X_236)),bind(X_56,$fot(inverse(X_56)))]]) ).
cnf(refute_0_1065,plain,
( multiply(multiply(X_235,X_236),inverse(X_56)) != multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))
| multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))) != multiply(X_235,multiply(inverse(X_56),X_236))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(X_235,multiply(inverse(X_56),X_236)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(multiply(X_235,X_236),inverse(X_56)),multiply(X_235,multiply(inverse(X_56),X_236))) ),[0],$fot(multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))))]]) ).
cnf(refute_0_1066,plain,
( multiply(multiply(X_235,X_236),inverse(X_56)) != multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))
| multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(X_235,multiply(inverse(X_56),X_236)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236))),multiply(X_235,multiply(inverse(X_56),X_236))) )],[refute_0_1064,refute_0_1065]) ).
cnf(refute_0_1067,plain,
multiply(multiply(X_235,X_236),inverse(X_56)) = multiply(X_235,multiply(inverse(X_56),X_236)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_235,X_236),inverse(X_56)),multiply(inverse(X_56),multiply(X_235,multiply(inverse(X_56),X_236)))) )],[refute_0_925,refute_0_1066]) ).
cnf(refute_0_1068,plain,
multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) = multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_226)),bind(X_236,$fot(X_10)),bind(X_56,$fot(multiply(X_226,inverse(X_11))))]]) ).
cnf(refute_0_1069,plain,
( multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) != multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10))
| multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) ),[0],$fot(multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)))]]) ).
cnf(refute_0_1070,plain,
( multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10))) )],[refute_0_1068,refute_0_1069]) ).
cnf(refute_0_1071,plain,
multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_10),inverse(multiply(X_226,inverse(X_11)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_903,refute_0_1070]) ).
cnf(refute_0_1072,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),
inference(subst,[],[refute_0_28:[bind(X_76,$fot(X_226)),bind(X_77,$fot(X_227)),bind(X_78,$fot(X_228))]]) ).
cnf(refute_0_1073,plain,
multiply(X_227,X_226) = multiply(X_226,X_227),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_227)),bind(Y,$fot(X_226))]]) ).
cnf(refute_0_1074,plain,
( multiply(X_227,X_226) != multiply(X_226,X_227)
| multiply(X_226,X_227) = multiply(X_227,X_226) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_227,X_226))),bind(Y0,$fot(multiply(X_226,X_227)))]]) ).
cnf(refute_0_1075,plain,
multiply(X_226,X_227) = multiply(X_227,X_226),
inference(resolve,[$cnf( $equal(multiply(X_227,X_226),multiply(X_226,X_227)) )],[refute_0_1073,refute_0_1074]) ).
cnf(refute_0_1076,plain,
( multiply(X_226,X_227) != multiply(X_227,X_226)
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) ),[1,1,0],$fot(multiply(X_227,X_226))]]) ).
cnf(refute_0_1077,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,X_227),multiply(X_227,X_226)) )],[refute_0_1075,refute_0_1076]) ).
cnf(refute_0_1078,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) )],[refute_0_1072,refute_0_1077]) ).
cnf(refute_0_1079,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))) ),[0],$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1080,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) )],[refute_0_1072,refute_0_1079]) ).
cnf(refute_0_1081,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))) )],[refute_0_1078,refute_0_1080]) ).
cnf(refute_0_1082,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_226)),bind(X_236,$fot(X_228)),bind(X_56,$fot(multiply(X_226,X_227)))]]) ).
cnf(refute_0_1083,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))) ),[0],$fot(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)))]]) ).
cnf(refute_0_1084,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228))) )],[refute_0_1082,refute_0_1083]) ).
cnf(refute_0_1085,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) = multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_226)),bind(X_236,$fot(X_228)),bind(X_56,$fot(multiply(X_227,X_226)))]]) ).
cnf(refute_0_1086,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))) != multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))) ),[0],$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))))]]) ).
cnf(refute_0_1087,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226))),multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))) )],[refute_0_1085,refute_0_1086]) ).
cnf(refute_0_1088,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)) ),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))) )],[refute_0_1084,refute_0_1087]) ).
cnf(refute_0_1089,plain,
multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(multiply(X_226,X_228),inverse(multiply(X_227,X_226)))) )],[refute_0_1081,refute_0_1088]) ).
cnf(refute_0_1090,plain,
multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(X_226,add(multiply(X_10,X_226),X_228))) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),
inference(subst,[],[refute_0_28:[bind(X_76,$fot(X_226)),bind(X_77,$fot(multiply(X_10,X_226))),bind(X_78,$fot(X_228))]]) ).
cnf(refute_0_1091,plain,
multiply(X_226,add(multiply(X_10,X_226),X_228)) = multiply(add(X_10,X_228),X_226),
inference(subst,[],[refute_0_1030:[bind(X_76,$fot(X_226)),bind(X_78,$fot(X_228))]]) ).
cnf(refute_0_1092,plain,
( multiply(X_226,add(multiply(X_10,X_226),X_228)) != multiply(add(X_10,X_228),X_226)
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(X_226,add(multiply(X_10,X_226),X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(X_226,add(multiply(X_10,X_226),X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) ),[0,1],$fot(multiply(add(X_10,X_228),X_226))]]) ).
cnf(refute_0_1093,plain,
( multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(X_226,add(multiply(X_10,X_226),X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,add(multiply(X_10,X_226),X_228)),multiply(add(X_10,X_228),X_226)) )],[refute_0_1091,refute_0_1092]) ).
cnf(refute_0_1094,plain,
multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(X_226,add(multiply(X_10,X_226),X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) )],[refute_0_1090,refute_0_1093]) ).
cnf(refute_0_1095,plain,
multiply(inverse(multiply(X,Z)),add(multiply(X,Z),multiply(Y,Z))) = multiply(multiply(Y,Z),inverse(multiply(X,Z))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(multiply(X,Z))),bind(X_57,$fot(multiply(Y,Z)))]]) ).
cnf(refute_0_1096,plain,
( multiply(inverse(multiply(X,Z)),add(multiply(X,Z),multiply(Y,Z))) != multiply(multiply(Y,Z),inverse(multiply(X,Z)))
| add(multiply(X,Z),multiply(Y,Z)) != multiply(add(X,Y),Z)
| multiply(inverse(multiply(X,Z)),multiply(add(X,Y),Z)) = multiply(multiply(Y,Z),inverse(multiply(X,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X,Z)),add(multiply(X,Z),multiply(Y,Z))),multiply(multiply(Y,Z),inverse(multiply(X,Z)))) ),[0,1],$fot(multiply(add(X,Y),Z))]]) ).
cnf(refute_0_1097,plain,
( multiply(inverse(multiply(X,Z)),add(multiply(X,Z),multiply(Y,Z))) != multiply(multiply(Y,Z),inverse(multiply(X,Z)))
| multiply(inverse(multiply(X,Z)),multiply(add(X,Y),Z)) = multiply(multiply(Y,Z),inverse(multiply(X,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Z),multiply(Y,Z)),multiply(add(X,Y),Z)) )],[refute_0_252,refute_0_1096]) ).
cnf(refute_0_1098,plain,
multiply(inverse(multiply(X,Z)),multiply(add(X,Y),Z)) = multiply(multiply(Y,Z),inverse(multiply(X,Z))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X,Z)),add(multiply(X,Z),multiply(Y,Z))),multiply(multiply(Y,Z),inverse(multiply(X,Z)))) )],[refute_0_1095,refute_0_1097]) ).
cnf(refute_0_1099,plain,
multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),
inference(subst,[],[refute_0_1098:[bind(X,$fot(X_10)),bind(Y,$fot(X_228)),bind(Z,$fot(X_226))]]) ).
cnf(refute_0_1100,plain,
multiply(X_226,multiply(X_10,X_226)) = multiply(X_10,X_226),
inference(subst,[],[refute_0_1037:[bind(X_11,$fot(X_226))]]) ).
cnf(refute_0_1101,plain,
inverse(multiply(X_226,multiply(X_10,X_226))) = inverse(multiply(X_226,multiply(X_10,X_226))),
introduced(tautology,[refl,[$fot(inverse(multiply(X_226,multiply(X_10,X_226))))]]) ).
cnf(refute_0_1102,plain,
( multiply(X_226,multiply(X_10,X_226)) != multiply(X_10,X_226)
| inverse(multiply(X_226,multiply(X_10,X_226))) != inverse(multiply(X_226,multiply(X_10,X_226)))
| inverse(multiply(X_226,multiply(X_10,X_226))) = inverse(multiply(X_10,X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_226,multiply(X_10,X_226))),inverse(multiply(X_226,multiply(X_10,X_226)))) ),[1,0],$fot(multiply(X_10,X_226))]]) ).
cnf(refute_0_1103,plain,
( multiply(X_226,multiply(X_10,X_226)) != multiply(X_10,X_226)
| inverse(multiply(X_226,multiply(X_10,X_226))) = inverse(multiply(X_10,X_226)) ),
inference(resolve,[$cnf( $equal(inverse(multiply(X_226,multiply(X_10,X_226))),inverse(multiply(X_226,multiply(X_10,X_226)))) )],[refute_0_1101,refute_0_1102]) ).
cnf(refute_0_1104,plain,
inverse(multiply(X_226,multiply(X_10,X_226))) = inverse(multiply(X_10,X_226)),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(X_10,X_226)),multiply(X_10,X_226)) )],[refute_0_1100,refute_0_1103]) ).
cnf(refute_0_1105,plain,
multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)))]]) ).
cnf(refute_0_1106,plain,
( multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226))
| inverse(multiply(X_226,multiply(X_10,X_226))) != inverse(multiply(X_10,X_226))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226))) ),[1,0],$fot(inverse(multiply(X_10,X_226)))]]) ).
cnf(refute_0_1107,plain,
( inverse(multiply(X_226,multiply(X_10,X_226))) != inverse(multiply(X_10,X_226))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226))) )],[refute_0_1105,refute_0_1106]) ).
cnf(refute_0_1108,plain,
multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_226,multiply(X_10,X_226))),inverse(multiply(X_10,X_226))) )],[refute_0_1104,refute_0_1107]) ).
cnf(refute_0_1109,plain,
( multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)))),bind(Y0,$fot(multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)))),bind(Z0,$fot(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))))]]) ).
cnf(refute_0_1110,plain,
( multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226))) )],[refute_0_1108,refute_0_1109]) ).
cnf(refute_0_1111,plain,
multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) = multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_226)),multiply(add(X_10,X_228),X_226)),multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))) )],[refute_0_1099,refute_0_1110]) ).
cnf(refute_0_1112,plain,
( multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) ),[0],$fot(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))))]]) ).
cnf(refute_0_1113,plain,
( multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226)))) )],[refute_0_1111,refute_0_1112]) ).
cnf(refute_0_1114,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))))]]) ).
cnf(refute_0_1115,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| inverse(multiply(X_226,multiply(X_10,X_226))) != inverse(multiply(X_10,X_226))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) ),[1,1],$fot(inverse(multiply(X_10,X_226)))]]) ).
cnf(refute_0_1116,plain,
( inverse(multiply(X_226,multiply(X_10,X_226))) != inverse(multiply(X_10,X_226))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) )],[refute_0_1114,refute_0_1115]) ).
cnf(refute_0_1117,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_226,multiply(X_10,X_226))),inverse(multiply(X_10,X_226))) )],[refute_0_1104,refute_0_1116]) ).
cnf(refute_0_1118,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) ),[1],$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))))]]) ).
cnf(refute_0_1119,plain,
( multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226)))),multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))) )],[refute_0_1117,refute_0_1118]) ).
cnf(refute_0_1120,plain,
( multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) )],[refute_0_1113,refute_0_1119]) ).
cnf(refute_0_1121,plain,
multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,multiply(X_10,X_226))),multiply(add(X_10,X_228),X_226)),multiply(multiply(X_226,X_228),inverse(multiply(X_226,multiply(X_10,X_226))))) )],[refute_0_1094,refute_0_1120]) ).
cnf(refute_0_1122,plain,
multiply(X_76,add(multiply(X_146,X_145),inverse(add(X_70,X_76)))) = multiply(X_76,multiply(X_146,X_145)),
inference(subst,[],[refute_0_880:[bind(X_77,$fot(multiply(X_146,X_145)))]]) ).
cnf(refute_0_1123,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = multiply(add(X_10,X_12),add(X_11,X_12)),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(add(X_11,X_12))),bind(Y,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_1124,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_10,X_12),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_11),X_12))),bind(Y0,$fot(multiply(add(X_10,X_12),add(X_11,X_12))))]]) ).
cnf(refute_0_1125,plain,
multiply(add(X_10,X_12),add(X_11,X_12)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_809,refute_0_1124]) ).
cnf(refute_0_1126,plain,
( multiply(add(X_10,X_12),add(X_11,X_12)) != add(multiply(X_10,X_11),X_12)
| multiply(add(X_11,X_12),add(X_10,X_12)) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1],$fot(add(multiply(X_10,X_11),X_12))]]) ).
cnf(refute_0_1127,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != multiply(add(X_10,X_12),add(X_11,X_12))
| multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),add(X_11,X_12)),add(multiply(X_10,X_11),X_12)) )],[refute_0_1125,refute_0_1126]) ).
cnf(refute_0_1128,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_1123,refute_0_1127]) ).
cnf(refute_0_1129,plain,
( add(multiply(X,Y),Z) != multiply(add(X,Z),add(Y,Z))
| multiply(add(X,Z),add(Y,Z)) = add(multiply(X,Y),Z) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X,Y),Z))),bind(Y0,$fot(multiply(add(X,Z),add(Y,Z))))]]) ).
cnf(refute_0_1130,plain,
multiply(add(X,Z),add(Y,Z)) = add(multiply(X,Y),Z),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),Z),multiply(add(X,Z),add(Y,Z))) )],[distributivity1,refute_0_1129]) ).
cnf(refute_0_1131,plain,
multiply(add(X_11,X_12),add(X_10,X_12)) = add(multiply(X_11,X_10),X_12),
inference(subst,[],[refute_0_1130:[bind(X,$fot(X_11)),bind(Y,$fot(X_10)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_1132,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_10,X_11),X_12)
| multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_11,X_10),X_12)
| add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_10,X_11),X_12)) ),[0],$fot(add(multiply(X_11,X_10),X_12))]]) ).
cnf(refute_0_1133,plain,
( multiply(add(X_11,X_12),add(X_10,X_12)) != add(multiply(X_10,X_11),X_12)
| add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_11,X_10),X_12)) )],[refute_0_1131,refute_0_1132]) ).
cnf(refute_0_1134,plain,
add(multiply(X_11,X_10),X_12) = add(multiply(X_10,X_11),X_12),
inference(resolve,[$cnf( $equal(multiply(add(X_11,X_12),add(X_10,X_12)),add(multiply(X_10,X_11),X_12)) )],[refute_0_1128,refute_0_1133]) ).
cnf(refute_0_1135,plain,
add(multiply(X_146,X_145),inverse(add(X_70,X_76))) = add(multiply(X_145,X_146),inverse(add(X_70,X_76))),
inference(subst,[],[refute_0_1134:[bind(X_10,$fot(X_145)),bind(X_11,$fot(X_146)),bind(X_12,$fot(inverse(add(X_70,X_76))))]]) ).
cnf(refute_0_1136,plain,
( multiply(X_76,add(multiply(X_146,X_145),inverse(add(X_70,X_76)))) != multiply(X_76,multiply(X_146,X_145))
| add(multiply(X_146,X_145),inverse(add(X_70,X_76))) != add(multiply(X_145,X_146),inverse(add(X_70,X_76)))
| multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) = multiply(X_76,multiply(X_146,X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,add(multiply(X_146,X_145),inverse(add(X_70,X_76)))),multiply(X_76,multiply(X_146,X_145))) ),[0,1],$fot(add(multiply(X_145,X_146),inverse(add(X_70,X_76))))]]) ).
cnf(refute_0_1137,plain,
( multiply(X_76,add(multiply(X_146,X_145),inverse(add(X_70,X_76)))) != multiply(X_76,multiply(X_146,X_145))
| multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) = multiply(X_76,multiply(X_146,X_145)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_146,X_145),inverse(add(X_70,X_76))),add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) )],[refute_0_1135,refute_0_1136]) ).
cnf(refute_0_1138,plain,
multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) = multiply(X_76,multiply(X_146,X_145)),
inference(resolve,[$cnf( $equal(multiply(X_76,add(multiply(X_146,X_145),inverse(add(X_70,X_76)))),multiply(X_76,multiply(X_146,X_145))) )],[refute_0_1122,refute_0_1137]) ).
cnf(refute_0_1139,plain,
multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) = multiply(X_76,multiply(X_145,X_146)),
inference(subst,[],[refute_0_880:[bind(X_77,$fot(multiply(X_145,X_146)))]]) ).
cnf(refute_0_1140,plain,
( multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) != multiply(X_76,multiply(X_145,X_146))
| multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) != multiply(X_76,multiply(X_146,X_145))
| multiply(X_76,multiply(X_145,X_146)) = multiply(X_76,multiply(X_146,X_145)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))),multiply(X_76,multiply(X_146,X_145))) ),[0],$fot(multiply(X_76,multiply(X_145,X_146)))]]) ).
cnf(refute_0_1141,plain,
( multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))) != multiply(X_76,multiply(X_146,X_145))
| multiply(X_76,multiply(X_145,X_146)) = multiply(X_76,multiply(X_146,X_145)) ),
inference(resolve,[$cnf( $equal(multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))),multiply(X_76,multiply(X_145,X_146))) )],[refute_0_1139,refute_0_1140]) ).
cnf(refute_0_1142,plain,
multiply(X_76,multiply(X_145,X_146)) = multiply(X_76,multiply(X_146,X_145)),
inference(resolve,[$cnf( $equal(multiply(X_76,add(multiply(X_145,X_146),inverse(add(X_70,X_76)))),multiply(X_76,multiply(X_146,X_145))) )],[refute_0_1138,refute_0_1141]) ).
cnf(refute_0_1143,plain,
( multiply(X_76,multiply(X_145,X_146)) != multiply(X_76,multiply(X_146,X_145))
| multiply(X_76,multiply(X_146,X_145)) = multiply(X_76,multiply(X_145,X_146)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_76,multiply(X_145,X_146)))),bind(Y0,$fot(multiply(X_76,multiply(X_146,X_145))))]]) ).
cnf(refute_0_1144,plain,
multiply(X_76,multiply(X_146,X_145)) = multiply(X_76,multiply(X_145,X_146)),
inference(resolve,[$cnf( $equal(multiply(X_76,multiply(X_145,X_146)),multiply(X_76,multiply(X_146,X_145))) )],[refute_0_1142,refute_0_1143]) ).
cnf(refute_0_1145,plain,
multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)) = multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),
inference(subst,[],[refute_0_1144:[bind(X_145,$fot(X_226)),bind(X_146,$fot(inverse(multiply(X_10,X_226)))),bind(X_76,$fot(X_228))]]) ).
cnf(refute_0_1146,plain,
multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_228)),bind(X_236,$fot(X_226)),bind(X_56,$fot(multiply(X_10,X_226)))]]) ).
cnf(refute_0_1147,plain,
( multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)) != multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))))),bind(Y0,$fot(multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)))),bind(Z0,$fot(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))))]]) ).
cnf(refute_0_1148,plain,
( multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)) != multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226))) )],[refute_0_1146,refute_0_1147]) ).
cnf(refute_0_1149,plain,
multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) = multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(inverse(multiply(X_10,X_226)),X_226)),multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))) )],[refute_0_1145,refute_0_1148]) ).
cnf(refute_0_1150,plain,
( multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))) ),[0],$fot(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))))]]) ).
cnf(refute_0_1151,plain,
( multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))) )],[refute_0_1149,refute_0_1150]) ).
cnf(refute_0_1152,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_226)),bind(X_236,$fot(X_228)),bind(X_56,$fot(multiply(X_10,X_226)))]]) ).
cnf(refute_0_1153,plain,
( multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))) != multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))) ),[0],$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))))]]) ).
cnf(refute_0_1154,plain,
( multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226))),multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))) )],[refute_0_1152,refute_0_1153]) ).
cnf(refute_0_1155,plain,
( multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))) != multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) ),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))) )],[refute_0_1151,refute_0_1154]) ).
cnf(refute_0_1156,plain,
multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_10,X_226))),multiply(multiply(X_226,X_228),inverse(multiply(X_10,X_226)))) )],[refute_0_1121,refute_0_1155]) ).
cnf(refute_0_1157,plain,
multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(inverse(X_11))),bind(X_57,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_1158,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) ),[0,1],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_1159,plain,
( multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_44,refute_0_1158]) ).
cnf(refute_0_1160,plain,
multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = multiply(inverse(X_11),inverse(multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(inverse(X_11),multiply(X_10,X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) )],[refute_0_1157,refute_0_1159]) ).
cnf(refute_0_1161,plain,
multiply(inverse(X_56),add(X_56,inverse(multiply(X_73,X_56)))) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)),
inference(subst,[],[refute_0_21:[bind(X_57,$fot(inverse(multiply(X_73,X_56))))]]) ).
cnf(refute_0_1162,plain,
add(inverse(multiply(X_68,X_10)),multiply(X_10,multiply(X_68,X_10))) = add(X_10,inverse(multiply(X_68,X_10))),
inference(subst,[],[refute_0_44:[bind(X_11,$fot(multiply(X_68,X_10)))]]) ).
cnf(refute_0_1163,plain,
multiply(X_68,X_10) = multiply(X_10,multiply(X_68,X_10)),
inference(subst,[],[refute_0_1011:[bind(X_10,$fot(X_68)),bind(X_11,$fot(X_10))]]) ).
cnf(refute_0_1164,plain,
( multiply(X_68,X_10) != multiply(X_10,multiply(X_68,X_10))
| multiply(X_10,multiply(X_68,X_10)) = multiply(X_68,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_68,X_10))),bind(Y0,$fot(multiply(X_10,multiply(X_68,X_10))))]]) ).
cnf(refute_0_1165,plain,
multiply(X_10,multiply(X_68,X_10)) = multiply(X_68,X_10),
inference(resolve,[$cnf( $equal(multiply(X_68,X_10),multiply(X_10,multiply(X_68,X_10))) )],[refute_0_1163,refute_0_1164]) ).
cnf(refute_0_1166,plain,
( multiply(X_10,multiply(X_68,X_10)) != multiply(X_68,X_10)
| add(inverse(multiply(X_68,X_10)),multiply(X_10,multiply(X_68,X_10))) != add(X_10,inverse(multiply(X_68,X_10)))
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = add(X_10,inverse(multiply(X_68,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_10,multiply(X_68,X_10))),add(X_10,inverse(multiply(X_68,X_10)))) ),[0,1],$fot(multiply(X_68,X_10))]]) ).
cnf(refute_0_1167,plain,
( add(inverse(multiply(X_68,X_10)),multiply(X_10,multiply(X_68,X_10))) != add(X_10,inverse(multiply(X_68,X_10)))
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = add(X_10,inverse(multiply(X_68,X_10))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_68,X_10)),multiply(X_68,X_10)) )],[refute_0_1165,refute_0_1166]) ).
cnf(refute_0_1168,plain,
add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = add(X_10,inverse(multiply(X_68,X_10))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_10,multiply(X_68,X_10))),add(X_10,inverse(multiply(X_68,X_10)))) )],[refute_0_1162,refute_0_1167]) ).
cnf(refute_0_1169,plain,
add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(multiply(X_68,X_10)))]]) ).
cnf(refute_0_1170,plain,
add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))),
inference(subst,[],[refute_0_871:[bind(X_13,$fot(X_10)),bind(X_56,$fot(inverse(multiply(X_68,X_10)))),bind(X_57,$fot(X_68))]]) ).
cnf(refute_0_1171,plain,
( add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))) != multiplicative_identity
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) != add(multiply(X_68,X_10),inverse(multiply(X_68,X_10)))
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = multiplicative_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)))),bind(Y0,$fot(add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1172,plain,
( add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))) != multiplicative_identity
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)),add(multiply(X_68,X_10),inverse(multiply(X_68,X_10)))) )],[refute_0_1170,refute_0_1171]) ).
cnf(refute_0_1173,plain,
add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(multiply(X_68,X_10),inverse(multiply(X_68,X_10))),multiplicative_identity) )],[refute_0_1169,refute_0_1172]) ).
cnf(refute_0_1174,plain,
( add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) != add(X_10,inverse(multiply(X_68,X_10)))
| add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) != multiplicative_identity
| multiplicative_identity = add(X_10,inverse(multiply(X_68,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)),add(X_10,inverse(multiply(X_68,X_10)))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1175,plain,
( add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)) != add(X_10,inverse(multiply(X_68,X_10)))
| multiplicative_identity = add(X_10,inverse(multiply(X_68,X_10))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)),multiplicative_identity) )],[refute_0_1173,refute_0_1174]) ).
cnf(refute_0_1176,plain,
multiplicative_identity = add(X_10,inverse(multiply(X_68,X_10))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_68,X_10)),multiply(X_68,X_10)),add(X_10,inverse(multiply(X_68,X_10)))) )],[refute_0_1168,refute_0_1175]) ).
cnf(refute_0_1177,plain,
multiplicative_identity = add(X_56,inverse(multiply(X_73,X_56))),
inference(subst,[],[refute_0_1176:[bind(X_10,$fot(X_56)),bind(X_68,$fot(X_73))]]) ).
cnf(refute_0_1178,plain,
( multiplicative_identity != add(X_56,inverse(multiply(X_73,X_56)))
| add(X_56,inverse(multiply(X_73,X_56))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_56,inverse(multiply(X_73,X_56)))))]]) ).
cnf(refute_0_1179,plain,
add(X_56,inverse(multiply(X_73,X_56))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_56,inverse(multiply(X_73,X_56)))) )],[refute_0_1177,refute_0_1178]) ).
cnf(refute_0_1180,plain,
( multiply(inverse(X_56),add(X_56,inverse(multiply(X_73,X_56)))) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| add(X_56,inverse(multiply(X_73,X_56))) != multiplicative_identity
| multiply(inverse(X_56),multiplicative_identity) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),add(X_56,inverse(multiply(X_73,X_56)))),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1181,plain,
( multiply(inverse(X_56),add(X_56,inverse(multiply(X_73,X_56)))) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| multiply(inverse(X_56),multiplicative_identity) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) ),
inference(resolve,[$cnf( $equal(add(X_56,inverse(multiply(X_73,X_56))),multiplicative_identity) )],[refute_0_1179,refute_0_1180]) ).
cnf(refute_0_1182,plain,
multiply(inverse(X_56),multiplicative_identity) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,inverse(multiply(X_73,X_56)))),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) )],[refute_0_1161,refute_0_1181]) ).
cnf(refute_0_1183,plain,
multiply(inverse(X_56),multiplicative_identity) = inverse(X_56),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(X_56)))]]) ).
cnf(refute_0_1184,plain,
( multiply(inverse(X_56),multiplicative_identity) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| multiply(inverse(X_56),multiplicative_identity) != inverse(X_56)
| inverse(X_56) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),multiplicative_identity),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) ),[0],$fot(inverse(X_56))]]) ).
cnf(refute_0_1185,plain,
( multiply(inverse(X_56),multiplicative_identity) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| inverse(X_56) = multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiplicative_identity),inverse(X_56)) )],[refute_0_1183,refute_0_1184]) ).
cnf(refute_0_1186,plain,
multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) = multiply(inverse(X_56),inverse(multiply(X_73,X_56))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(X_56))),bind(Y,$fot(inverse(multiply(X_73,X_56))))]]) ).
cnf(refute_0_1187,plain,
( multiply(inverse(multiply(X_73,X_56)),inverse(X_56)) != multiply(inverse(X_56),inverse(multiply(X_73,X_56)))
| inverse(X_56) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| inverse(X_56) = multiply(inverse(X_56),inverse(multiply(X_73,X_56))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_56),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) ),[1],$fot(multiply(inverse(X_56),inverse(multiply(X_73,X_56))))]]) ).
cnf(refute_0_1188,plain,
( inverse(X_56) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| inverse(X_56) = multiply(inverse(X_56),inverse(multiply(X_73,X_56))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_73,X_56)),inverse(X_56)),multiply(inverse(X_56),inverse(multiply(X_73,X_56)))) )],[refute_0_1186,refute_0_1187]) ).
cnf(refute_0_1189,plain,
( multiply(inverse(X_56),multiplicative_identity) != multiply(inverse(multiply(X_73,X_56)),inverse(X_56))
| inverse(X_56) = multiply(inverse(X_56),inverse(multiply(X_73,X_56))) ),
inference(resolve,[$cnf( $equal(inverse(X_56),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) )],[refute_0_1185,refute_0_1188]) ).
cnf(refute_0_1190,plain,
inverse(X_56) = multiply(inverse(X_56),inverse(multiply(X_73,X_56))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),multiplicative_identity),multiply(inverse(multiply(X_73,X_56)),inverse(X_56))) )],[refute_0_1182,refute_0_1189]) ).
cnf(refute_0_1191,plain,
( inverse(X_56) != multiply(inverse(X_56),inverse(multiply(X_73,X_56)))
| multiply(inverse(X_56),inverse(multiply(X_73,X_56))) = inverse(X_56) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_56))),bind(Y0,$fot(multiply(inverse(X_56),inverse(multiply(X_73,X_56)))))]]) ).
cnf(refute_0_1192,plain,
multiply(inverse(X_56),inverse(multiply(X_73,X_56))) = inverse(X_56),
inference(resolve,[$cnf( $equal(inverse(X_56),multiply(inverse(X_56),inverse(multiply(X_73,X_56)))) )],[refute_0_1190,refute_0_1191]) ).
cnf(refute_0_1193,plain,
multiply(inverse(X_11),inverse(multiply(X_10,X_11))) = inverse(X_11),
inference(subst,[],[refute_0_1192:[bind(X_56,$fot(X_11)),bind(X_73,$fot(X_10))]]) ).
cnf(refute_0_1194,plain,
( multiply(inverse(X_11),inverse(multiply(X_10,X_11))) != inverse(X_11)
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = inverse(X_11) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) ),[1],$fot(inverse(X_11))]]) ).
cnf(refute_0_1195,plain,
( multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) != multiply(inverse(X_11),inverse(multiply(X_10,X_11)))
| multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = inverse(X_11) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_11),inverse(multiply(X_10,X_11))),inverse(X_11)) )],[refute_0_1193,refute_0_1194]) ).
cnf(refute_0_1196,plain,
multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))) = inverse(X_11),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_10,X_11)),add(X_10,inverse(X_11))),multiply(inverse(X_11),inverse(multiply(X_10,X_11)))) )],[refute_0_1160,refute_0_1195]) ).
cnf(refute_0_1197,plain,
multiply(inverse(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303)))),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = inverse(add(X_302,inverse(X_303))),
inference(subst,[],[refute_0_1196:[bind(X_10,$fot(inverse(multiply(X_302,X_303)))),bind(X_11,$fot(add(X_302,inverse(X_303))))]]) ).
cnf(refute_0_1198,plain,
multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303))) = inverse(X_303),
inference(subst,[],[refute_0_1196:[bind(X_10,$fot(X_302)),bind(X_11,$fot(X_303))]]) ).
cnf(refute_0_1199,plain,
( multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303))) != inverse(X_303)
| multiply(inverse(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303)))),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != inverse(add(X_302,inverse(X_303)))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = inverse(add(X_302,inverse(X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303)))),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),inverse(add(X_302,inverse(X_303)))) ),[0,0,0],$fot(inverse(X_303))]]) ).
cnf(refute_0_1200,plain,
( multiply(inverse(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303)))),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != inverse(add(X_302,inverse(X_303)))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = inverse(add(X_302,inverse(X_303))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303))),inverse(X_303)) )],[refute_0_1198,refute_0_1199]) ).
cnf(refute_0_1201,plain,
multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = inverse(add(X_302,inverse(X_303))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(multiply(X_302,X_303)),add(X_302,inverse(X_303)))),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),inverse(add(X_302,inverse(X_303)))) )],[refute_0_1197,refute_0_1200]) ).
cnf(refute_0_1202,plain,
add(inverse(X_10),multiply(X_10,inverse(add(X_75,X_10)))) = add(inverse(add(X_75,X_10)),inverse(X_10)),
inference(subst,[],[refute_0_338:[bind(X_11,$fot(inverse(add(X_75,X_10))))]]) ).
cnf(refute_0_1203,plain,
additive_identity = multiply(X_10,inverse(add(X_75,X_10))),
inference(subst,[],[refute_0_769:[bind(X_56,$fot(X_10)),bind(X_70,$fot(X_75))]]) ).
cnf(refute_0_1204,plain,
( additive_identity != multiply(X_10,inverse(add(X_75,X_10)))
| multiply(X_10,inverse(add(X_75,X_10))) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(X_10,inverse(add(X_75,X_10)))))]]) ).
cnf(refute_0_1205,plain,
multiply(X_10,inverse(add(X_75,X_10))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(X_10,inverse(add(X_75,X_10)))) )],[refute_0_1203,refute_0_1204]) ).
cnf(refute_0_1206,plain,
( multiply(X_10,inverse(add(X_75,X_10))) != additive_identity
| add(inverse(X_10),multiply(X_10,inverse(add(X_75,X_10)))) != add(inverse(add(X_75,X_10)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_75,X_10)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_75,X_10)))),add(inverse(add(X_75,X_10)),inverse(X_10))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1207,plain,
( add(inverse(X_10),multiply(X_10,inverse(add(X_75,X_10)))) != add(inverse(add(X_75,X_10)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_75,X_10)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(X_75,X_10))),additive_identity) )],[refute_0_1205,refute_0_1206]) ).
cnf(refute_0_1208,plain,
add(inverse(X_10),additive_identity) = add(inverse(add(X_75,X_10)),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_75,X_10)))),add(inverse(add(X_75,X_10)),inverse(X_10))) )],[refute_0_1202,refute_0_1207]) ).
cnf(refute_0_1209,plain,
add(additive_identity,inverse(X_10)) = inverse(X_10),
inference(subst,[],[additive_id2:[bind(X,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1210,plain,
add(inverse(X_10),additive_identity) = add(additive_identity,inverse(X_10)),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(X_10))),bind(X_55,$fot(additive_identity))]]) ).
cnf(refute_0_1211,plain,
( add(additive_identity,inverse(X_10)) != inverse(X_10)
| add(inverse(X_10),additive_identity) != add(additive_identity,inverse(X_10))
| add(inverse(X_10),additive_identity) = inverse(X_10) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(X_10),additive_identity))),bind(Y0,$fot(add(additive_identity,inverse(X_10)))),bind(Z0,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1212,plain,
( add(additive_identity,inverse(X_10)) != inverse(X_10)
| add(inverse(X_10),additive_identity) = inverse(X_10) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),add(additive_identity,inverse(X_10))) )],[refute_0_1210,refute_0_1211]) ).
cnf(refute_0_1213,plain,
add(inverse(X_10),additive_identity) = inverse(X_10),
inference(resolve,[$cnf( $equal(add(additive_identity,inverse(X_10)),inverse(X_10)) )],[refute_0_1209,refute_0_1212]) ).
cnf(refute_0_1214,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_75,X_10)),inverse(X_10))
| add(inverse(X_10),additive_identity) != inverse(X_10)
| inverse(X_10) = add(inverse(add(X_75,X_10)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_75,X_10)),inverse(X_10))) ),[0],$fot(inverse(X_10))]]) ).
cnf(refute_0_1215,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_75,X_10)),inverse(X_10))
| inverse(X_10) = add(inverse(add(X_75,X_10)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),inverse(X_10)) )],[refute_0_1213,refute_0_1214]) ).
cnf(refute_0_1216,plain,
add(inverse(add(X_75,X_10)),inverse(X_10)) = add(inverse(X_10),inverse(add(X_75,X_10))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(add(X_75,X_10)))),bind(X_55,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1217,plain,
( add(inverse(add(X_75,X_10)),inverse(X_10)) != add(inverse(X_10),inverse(add(X_75,X_10)))
| inverse(X_10) != add(inverse(add(X_75,X_10)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_75,X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_10),add(inverse(add(X_75,X_10)),inverse(X_10))) ),[1],$fot(add(inverse(X_10),inverse(add(X_75,X_10))))]]) ).
cnf(refute_0_1218,plain,
( inverse(X_10) != add(inverse(add(X_75,X_10)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_75,X_10))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_75,X_10)),inverse(X_10)),add(inverse(X_10),inverse(add(X_75,X_10)))) )],[refute_0_1216,refute_0_1217]) ).
cnf(refute_0_1219,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_75,X_10)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_75,X_10))) ),
inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(add(X_75,X_10)),inverse(X_10))) )],[refute_0_1215,refute_0_1218]) ).
cnf(refute_0_1220,plain,
inverse(X_10) = add(inverse(X_10),inverse(add(X_75,X_10))),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_75,X_10)),inverse(X_10))) )],[refute_0_1208,refute_0_1219]) ).
cnf(refute_0_1221,plain,
inverse(multiply(X_10,X_11)) = add(inverse(multiply(X_10,X_11)),inverse(add(inverse(X_11),multiply(X_10,X_11)))),
inference(subst,[],[refute_0_1220:[bind(X_10,$fot(multiply(X_10,X_11))),bind(X_75,$fot(inverse(X_11)))]]) ).
cnf(refute_0_1222,plain,
( add(inverse(X_11),multiply(X_10,X_11)) != add(X_10,inverse(X_11))
| inverse(multiply(X_10,X_11)) != add(inverse(multiply(X_10,X_11)),inverse(add(inverse(X_11),multiply(X_10,X_11))))
| inverse(multiply(X_10,X_11)) = add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(X_10,X_11)),add(inverse(multiply(X_10,X_11)),inverse(add(inverse(X_11),multiply(X_10,X_11))))) ),[1,1,0],$fot(add(X_10,inverse(X_11)))]]) ).
cnf(refute_0_1223,plain,
( inverse(multiply(X_10,X_11)) != add(inverse(multiply(X_10,X_11)),inverse(add(inverse(X_11),multiply(X_10,X_11))))
| inverse(multiply(X_10,X_11)) = add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_11),multiply(X_10,X_11)),add(X_10,inverse(X_11))) )],[refute_0_44,refute_0_1222]) ).
cnf(refute_0_1224,plain,
inverse(multiply(X_10,X_11)) = add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11)))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,X_11)),add(inverse(multiply(X_10,X_11)),inverse(add(inverse(X_11),multiply(X_10,X_11))))) )],[refute_0_1221,refute_0_1223]) ).
cnf(refute_0_1225,plain,
( inverse(multiply(X_10,X_11)) != add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11))))
| add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11)))) = inverse(multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(multiply(X_10,X_11)))),bind(Y0,$fot(add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11))))))]]) ).
cnf(refute_0_1226,plain,
add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11)))) = inverse(multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(inverse(multiply(X_10,X_11)),add(inverse(multiply(X_10,X_11)),inverse(add(X_10,inverse(X_11))))) )],[refute_0_1224,refute_0_1225]) ).
cnf(refute_0_1227,plain,
add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))) = inverse(multiply(X_302,X_303)),
inference(subst,[],[refute_0_1226:[bind(X_10,$fot(X_302)),bind(X_11,$fot(X_303))]]) ).
cnf(refute_0_1228,plain,
multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),
introduced(tautology,[refl,[$fot(multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))))]]) ).
cnf(refute_0_1229,plain,
( multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))
| add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))) != inverse(multiply(X_302,X_303))
| multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))) ),[1,1],$fot(inverse(multiply(X_302,X_303)))]]) ).
cnf(refute_0_1230,plain,
( add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))) != inverse(multiply(X_302,X_303))
| multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))) ),
inference(resolve,[$cnf( $equal(multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))) )],[refute_0_1228,refute_0_1229]) ).
cnf(refute_0_1231,plain,
multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))),inverse(multiply(X_302,X_303))) )],[refute_0_1227,refute_0_1230]) ).
cnf(refute_0_1232,plain,
inverse(inverse(X_303)) = X_303,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_303))]]) ).
cnf(refute_0_1233,plain,
multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),
introduced(tautology,[refl,[$fot(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))))]]) ).
cnf(refute_0_1234,plain,
( multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))
| inverse(inverse(X_303)) != X_303
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))) ),[1,0],$fot(X_303)]]) ).
cnf(refute_0_1235,plain,
( inverse(inverse(X_303)) != X_303
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))) )],[refute_0_1233,refute_0_1234]) ).
cnf(refute_0_1236,plain,
multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),
inference(resolve,[$cnf( $equal(inverse(inverse(X_303)),X_303) )],[refute_0_1232,refute_0_1235]) ).
cnf(refute_0_1237,plain,
( multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(X_303,inverse(multiply(X_302,X_303)))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))))),bind(Y0,$fot(multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))))),bind(Z0,$fot(multiply(X_303,inverse(multiply(X_302,X_303)))))]]) ).
cnf(refute_0_1238,plain,
( multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(X_303,inverse(multiply(X_302,X_303)))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303)))))) )],[refute_0_1236,refute_0_1237]) ).
cnf(refute_0_1239,plain,
multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) = multiply(X_303,inverse(multiply(X_302,X_303))),
inference(resolve,[$cnf( $equal(multiply(X_303,add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(X_303,inverse(multiply(X_302,X_303)))) )],[refute_0_1231,refute_0_1238]) ).
cnf(refute_0_1240,plain,
( multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != multiply(X_303,inverse(multiply(X_302,X_303)))
| multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != inverse(add(X_302,inverse(X_303)))
| multiply(X_303,inverse(multiply(X_302,X_303))) = inverse(add(X_302,inverse(X_303))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),inverse(add(X_302,inverse(X_303)))) ),[0],$fot(multiply(X_303,inverse(multiply(X_302,X_303))))]]) ).
cnf(refute_0_1241,plain,
( multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))) != inverse(add(X_302,inverse(X_303)))
| multiply(X_303,inverse(multiply(X_302,X_303))) = inverse(add(X_302,inverse(X_303))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),multiply(X_303,inverse(multiply(X_302,X_303)))) )],[refute_0_1239,refute_0_1240]) ).
cnf(refute_0_1242,plain,
multiply(X_303,inverse(multiply(X_302,X_303))) = inverse(add(X_302,inverse(X_303))),
inference(resolve,[$cnf( $equal(multiply(inverse(inverse(X_303)),add(inverse(multiply(X_302,X_303)),inverse(add(X_302,inverse(X_303))))),inverse(add(X_302,inverse(X_303)))) )],[refute_0_1201,refute_0_1241]) ).
cnf(refute_0_1243,plain,
multiply(X_226,inverse(multiply(X_10,X_226))) = inverse(add(X_10,inverse(X_226))),
inference(subst,[],[refute_0_1242:[bind(X_302,$fot(X_10)),bind(X_303,$fot(X_226))]]) ).
cnf(refute_0_1244,plain,
multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),
introduced(tautology,[refl,[$fot(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))))]]) ).
cnf(refute_0_1245,plain,
( multiply(X_226,inverse(multiply(X_10,X_226))) != inverse(add(X_10,inverse(X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_228,inverse(add(X_10,inverse(X_226)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))) ),[1,1],$fot(inverse(add(X_10,inverse(X_226))))]]) ).
cnf(refute_0_1246,plain,
( multiply(X_226,inverse(multiply(X_10,X_226))) != inverse(add(X_10,inverse(X_226)))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_228,inverse(add(X_10,inverse(X_226)))) ),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226))))) )],[refute_0_1244,refute_0_1245]) ).
cnf(refute_0_1247,plain,
multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) = multiply(X_228,inverse(add(X_10,inverse(X_226)))),
inference(resolve,[$cnf( $equal(multiply(X_226,inverse(multiply(X_10,X_226))),inverse(add(X_10,inverse(X_226)))) )],[refute_0_1243,refute_0_1246]) ).
cnf(refute_0_1248,plain,
( multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))
| multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(X_228,inverse(add(X_10,inverse(X_226))))
| multiply(X_228,inverse(add(X_10,inverse(X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))) ),[0],$fot(multiply(X_228,inverse(add(X_10,inverse(X_226)))))]]) ).
cnf(refute_0_1249,plain,
( multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))) != multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))
| multiply(X_228,inverse(add(X_10,inverse(X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) ),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_228,inverse(add(X_10,inverse(X_226))))) )],[refute_0_1247,refute_0_1248]) ).
cnf(refute_0_1250,plain,
multiply(X_228,inverse(add(X_10,inverse(X_226)))) = multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(X_226,inverse(multiply(X_10,X_226)))),multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))) )],[refute_0_1156,refute_0_1249]) ).
cnf(refute_0_1251,plain,
( multiply(X_228,inverse(add(X_10,inverse(X_226)))) != multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))
| multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) = multiply(X_228,inverse(add(X_10,inverse(X_226)))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_228,inverse(add(X_10,inverse(X_226)))))),bind(Y0,$fot(multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))))]]) ).
cnf(refute_0_1252,plain,
multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228)) = multiply(X_228,inverse(add(X_10,inverse(X_226)))),
inference(resolve,[$cnf( $equal(multiply(X_228,inverse(add(X_10,inverse(X_226)))),multiply(X_226,multiply(inverse(multiply(X_10,X_226)),X_228))) )],[refute_0_1250,refute_0_1251]) ).
cnf(refute_0_1253,plain,
multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)) = multiply(X_228,inverse(add(X_227,inverse(X_226)))),
inference(subst,[],[refute_0_1252:[bind(X_10,$fot(X_227))]]) ).
cnf(refute_0_1254,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))
| multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)) != multiply(X_228,inverse(add(X_227,inverse(X_226))))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,inverse(add(X_227,inverse(X_226)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_228,inverse(add(X_227,inverse(X_226))))) ),[0],$fot(multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)))]]) ).
cnf(refute_0_1255,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,inverse(add(X_227,inverse(X_226)))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228)),multiply(X_228,inverse(add(X_227,inverse(X_226))))) )],[refute_0_1253,refute_0_1254]) ).
cnf(refute_0_1256,plain,
multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,inverse(add(X_227,inverse(X_226)))),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_226,multiply(inverse(multiply(X_227,X_226)),X_228))) )],[refute_0_1089,refute_0_1255]) ).
cnf(refute_0_1257,plain,
multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) = multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),
inference(subst,[],[refute_0_1256:[bind(X_227,$fot(inverse(X_11))),bind(X_228,$fot(X_10))]]) ).
cnf(refute_0_1258,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) != multiply(X_10,inverse(add(inverse(X_11),inverse(X_226))))
| multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) ),[0],$fot(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))))]]) ).
cnf(refute_0_1259,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)),multiply(X_10,inverse(add(inverse(X_11),inverse(X_226))))) )],[refute_0_1257,refute_0_1258]) ).
cnf(refute_0_1260,plain,
multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,inverse(X_11))),X_10)),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_1071,refute_0_1259]) ).
cnf(refute_0_1261,plain,
inverse(inverse(X_226)) = X_226,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_226))]]) ).
cnf(refute_0_1262,plain,
multiply(X_11,inverse(inverse(X_226))) = multiply(X_11,inverse(inverse(X_226))),
introduced(tautology,[refl,[$fot(multiply(X_11,inverse(inverse(X_226))))]]) ).
cnf(refute_0_1263,plain,
( multiply(X_11,inverse(inverse(X_226))) != multiply(X_11,inverse(inverse(X_226)))
| inverse(inverse(X_226)) != X_226
| multiply(X_11,inverse(inverse(X_226))) = multiply(X_11,X_226) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_11,inverse(inverse(X_226))),multiply(X_11,inverse(inverse(X_226)))) ),[1,1],$fot(X_226)]]) ).
cnf(refute_0_1264,plain,
( inverse(inverse(X_226)) != X_226
| multiply(X_11,inverse(inverse(X_226))) = multiply(X_11,X_226) ),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(inverse(X_226))),multiply(X_11,inverse(inverse(X_226)))) )],[refute_0_1262,refute_0_1263]) ).
cnf(refute_0_1265,plain,
multiply(X_11,inverse(inverse(X_226))) = multiply(X_11,X_226),
inference(resolve,[$cnf( $equal(inverse(inverse(X_226)),X_226) )],[refute_0_1261,refute_0_1264]) ).
cnf(refute_0_1266,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,inverse(X_227)))) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))),
inference(subst,[],[refute_0_28:[bind(X_76,$fot(X_226)),bind(X_77,$fot(X_227)),bind(X_78,$fot(inverse(X_227)))]]) ).
cnf(refute_0_1267,plain,
add(X_227,inverse(X_227)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_227))]]) ).
cnf(refute_0_1268,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,inverse(X_227)))) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| add(X_227,inverse(X_227)) != multiplicative_identity
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,inverse(X_227)))),multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))) ),[0,1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1269,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,inverse(X_227)))) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(add(X_227,inverse(X_227)),multiplicative_identity) )],[refute_0_1267,refute_0_1268]) ).
cnf(refute_0_1270,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,inverse(X_227)))),multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))) )],[refute_0_1266,refute_0_1269]) ).
cnf(refute_0_1271,plain,
multiply(X_226,multiplicative_identity) = X_226,
inference(subst,[],[multiplicative_id1:[bind(X,$fot(X_226))]]) ).
cnf(refute_0_1272,plain,
multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))),
introduced(tautology,[refl,[$fot(multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1273,plain,
( multiply(X_226,multiplicative_identity) != X_226
| multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227)))
| multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) = multiply(X_226,inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))),multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227)))) ),[1,0],$fot(X_226)]]) ).
cnf(refute_0_1274,plain,
( multiply(X_226,multiplicative_identity) != X_226
| multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) = multiply(X_226,inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))),multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227)))) )],[refute_0_1272,refute_0_1273]) ).
cnf(refute_0_1275,plain,
multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) = multiply(X_226,inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(X_226,multiplicative_identity),X_226) )],[refute_0_1271,refute_0_1274]) ).
cnf(refute_0_1276,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiply(X_226,multiplicative_identity))),bind(X_38,$fot(inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1277,plain,
( multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) != multiply(X_226,inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) != multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(X_226,inverse(multiply(X_226,X_227))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)))),bind(Y0,$fot(multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))))),bind(Z0,$fot(multiply(X_226,inverse(multiply(X_226,X_227)))))]]) ).
cnf(refute_0_1278,plain,
( multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))) != multiply(X_226,inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(X_226,inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)),multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227)))) )],[refute_0_1276,refute_0_1277]) ).
cnf(refute_0_1279,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) = multiply(X_226,inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,multiplicative_identity),inverse(multiply(X_226,X_227))),multiply(X_226,inverse(multiply(X_226,X_227)))) )],[refute_0_1275,refute_0_1278]) ).
cnf(refute_0_1280,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) != multiply(X_226,inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)),multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))) ),[0],$fot(multiply(X_226,inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1281,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)),multiply(X_226,inverse(multiply(X_226,X_227)))) )],[refute_0_1279,refute_0_1280]) ).
cnf(refute_0_1282,plain,
multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) = multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(inverse(multiply(X_226,X_227)))),bind(X_38,$fot(multiply(X_226,inverse(X_227))))]]) ).
cnf(refute_0_1283,plain,
( multiply(X_226,inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))) != multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))
| multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_226,inverse(multiply(X_226,X_227))),multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))) ),[0],$fot(multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1284,plain,
( multiply(X_226,inverse(multiply(X_226,X_227))) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227))),multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))) )],[refute_0_1282,refute_0_1283]) ).
cnf(refute_0_1285,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)) != multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))
| multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,inverse(multiply(X_226,X_227))),multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))) )],[refute_0_1281,refute_0_1284]) ).
cnf(refute_0_1286,plain,
multiply(X_226,inverse(multiply(X_226,X_227))) = multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,multiplicative_identity)),multiply(multiply(X_226,inverse(X_227)),inverse(multiply(X_226,X_227)))) )],[refute_0_1270,refute_0_1285]) ).
cnf(refute_0_1287,plain,
multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(inverse(multiply(X_312,multiply(X_312,X_11))),multiply(X_312,inverse(multiply(X_312,X_11)))),
inference(subst,[],[refute_0_1286:[bind(X_226,$fot(X_312)),bind(X_227,$fot(multiply(X_312,X_11)))]]) ).
cnf(refute_0_1288,plain,
multiply(X_11,X_312) = multiply(X_312,multiply(X_312,X_11)),
inference(subst,[],[refute_0_364:[bind(X_10,$fot(X_312))]]) ).
cnf(refute_0_1289,plain,
( multiply(X_11,X_312) != multiply(X_312,multiply(X_312,X_11))
| multiply(X_312,multiply(X_312,X_11)) = multiply(X_11,X_312) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_11,X_312))),bind(Y0,$fot(multiply(X_312,multiply(X_312,X_11))))]]) ).
cnf(refute_0_1290,plain,
multiply(X_312,multiply(X_312,X_11)) = multiply(X_11,X_312),
inference(resolve,[$cnf( $equal(multiply(X_11,X_312),multiply(X_312,multiply(X_312,X_11))) )],[refute_0_1288,refute_0_1289]) ).
cnf(refute_0_1291,plain,
( multiply(X_312,multiply(X_312,X_11)) != multiply(X_11,X_312)
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(inverse(multiply(X_312,multiply(X_312,X_11))),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),multiply(inverse(multiply(X_312,multiply(X_312,X_11))),multiply(X_312,inverse(multiply(X_312,X_11))))) ),[1,0,0],$fot(multiply(X_11,X_312))]]) ).
cnf(refute_0_1292,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(inverse(multiply(X_312,multiply(X_312,X_11))),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,multiply(X_312,X_11)),multiply(X_11,X_312)) )],[refute_0_1290,refute_0_1291]) ).
cnf(refute_0_1293,plain,
multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),multiply(inverse(multiply(X_312,multiply(X_312,X_11))),multiply(X_312,inverse(multiply(X_312,X_11))))) )],[refute_0_1287,refute_0_1292]) ).
cnf(refute_0_1294,plain,
add(multiply(X_312,inverse(X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))) = multiply(X_312,inverse(X_313)),
inference(subst,[],[refute_0_885:[bind(Y,$fot(inverse(multiply(X_312,X_313)))),bind(Z,$fot(multiply(X_312,inverse(X_313))))]]) ).
cnf(refute_0_1295,plain,
multiply(X_312,inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))),
inference(subst,[],[refute_0_1286:[bind(X_226,$fot(X_312)),bind(X_227,$fot(X_313))]]) ).
cnf(refute_0_1296,plain,
( multiply(X_312,inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) = multiply(X_312,inverse(multiply(X_312,X_313))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_312,inverse(multiply(X_312,X_313))))),bind(Y0,$fot(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))))]]) ).
cnf(refute_0_1297,plain,
multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) = multiply(X_312,inverse(multiply(X_312,X_313))),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))) )],[refute_0_1295,refute_0_1296]) ).
cnf(refute_0_1298,plain,
( multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| add(multiply(X_312,inverse(X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))) != multiply(X_312,inverse(X_313))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))),multiply(X_312,inverse(X_313))) ),[0,1],$fot(multiply(X_312,inverse(multiply(X_312,X_313))))]]) ).
cnf(refute_0_1299,plain,
( add(multiply(X_312,inverse(X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))) != multiply(X_312,inverse(X_313))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(X_313)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))),multiply(X_312,inverse(multiply(X_312,X_313)))) )],[refute_0_1297,refute_0_1298]) ).
cnf(refute_0_1300,plain,
add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(X_313)),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))),multiply(X_312,inverse(X_313))) )],[refute_0_1294,refute_0_1299]) ).
cnf(refute_0_1301,plain,
multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))),
inference(subst,[],[refute_0_364:[bind(X_10,$fot(inverse(multiply(X_312,X_313)))),bind(X_11,$fot(multiply(X_312,inverse(X_313))))]]) ).
cnf(refute_0_1302,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))))) ),[1,1],$fot(multiply(X_312,inverse(multiply(X_312,X_313))))]]) ).
cnf(refute_0_1303,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))))
| multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))),multiply(X_312,inverse(multiply(X_312,X_313)))) )],[refute_0_1297,refute_0_1302]) ).
cnf(refute_0_1304,plain,
multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))))) )],[refute_0_1301,refute_0_1303]) ).
cnf(refute_0_1305,plain,
multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))),
inference(subst,[],[refute_0_4:[bind(X,$fot(inverse(multiply(X_312,X_313)))),bind(Y,$fot(multiply(X_312,inverse(X_313))))]]) ).
cnf(refute_0_1306,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(X_312,inverse(multiply(X_312,X_313))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))))),bind(Y0,$fot(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))))),bind(Z0,$fot(multiply(X_312,inverse(multiply(X_312,X_313)))))]]) ).
cnf(refute_0_1307,plain,
( multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(X_312,inverse(multiply(X_312,X_313))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313)))) )],[refute_0_1305,refute_0_1306]) ).
cnf(refute_0_1308,plain,
multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) = multiply(X_312,inverse(multiply(X_312,X_313))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(X_313))),multiply(X_312,inverse(multiply(X_312,X_313)))) )],[refute_0_1297,refute_0_1307]) ).
cnf(refute_0_1309,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))
| multiply(X_312,inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))) ),[0],$fot(multiply(X_312,inverse(multiply(X_312,X_313))))]]) ).
cnf(refute_0_1310,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))
| multiply(X_312,inverse(multiply(X_312,X_313))) = multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(X_312,inverse(multiply(X_312,X_313)))) )],[refute_0_1308,refute_0_1309]) ).
cnf(refute_0_1311,plain,
multiply(inverse(add(X_218,X_220)),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(add(X_218,X_220))),bind(X_57,$fot(inverse(multiply(X_219,X_218))))]]) ).
cnf(refute_0_1312,plain,
multiplicative_identity = add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145)))),
inference(subst,[],[refute_0_1176:[bind(X_10,$fot(multiply(X_146,X_145)))]]) ).
cnf(refute_0_1313,plain,
add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145)))) = add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145)))),
inference(subst,[],[refute_0_1134:[bind(X_10,$fot(X_145)),bind(X_11,$fot(X_146)),bind(X_12,$fot(inverse(multiply(X_68,multiply(X_146,X_145)))))]]) ).
cnf(refute_0_1314,plain,
( add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145)))) != add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145))))
| multiplicative_identity != add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145))))
| multiplicative_identity = add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145))))) ),[1],$fot(add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145)))))]]) ).
cnf(refute_0_1315,plain,
( multiplicative_identity != add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145))))
| multiplicative_identity = add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145)))),add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145))))) )],[refute_0_1313,refute_0_1314]) ).
cnf(refute_0_1316,plain,
multiplicative_identity = add(multiply(X_145,X_146),inverse(multiply(X_68,multiply(X_146,X_145)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_146,X_145),inverse(multiply(X_68,multiply(X_146,X_145))))) )],[refute_0_1312,refute_0_1315]) ).
cnf(refute_0_1317,plain,
multiplicative_identity = add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,multiply(X_152,add(X_152,X_56))))),
inference(subst,[],[refute_0_1316:[bind(X_145,$fot(add(X_152,X_56))),bind(X_146,$fot(X_152)),bind(X_68,$fot(X_153))]]) ).
cnf(refute_0_1318,plain,
X_152 = multiply(X_152,add(X_152,X_56)),
inference(subst,[],[refute_0_162:[bind(X_58,$fot(X_152))]]) ).
cnf(refute_0_1319,plain,
( X_152 != multiply(X_152,add(X_152,X_56))
| multiply(X_152,add(X_152,X_56)) = X_152 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_152)),bind(Y0,$fot(multiply(X_152,add(X_152,X_56))))]]) ).
cnf(refute_0_1320,plain,
multiply(X_152,add(X_152,X_56)) = X_152,
inference(resolve,[$cnf( $equal(X_152,multiply(X_152,add(X_152,X_56))) )],[refute_0_1318,refute_0_1319]) ).
cnf(refute_0_1321,plain,
( multiply(X_152,add(X_152,X_56)) != X_152
| multiplicative_identity != add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,multiply(X_152,add(X_152,X_56)))))
| multiplicative_identity = add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,multiply(X_152,add(X_152,X_56)))))) ),[1,1,0,1],$fot(X_152)]]) ).
cnf(refute_0_1322,plain,
( multiplicative_identity != add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,multiply(X_152,add(X_152,X_56)))))
| multiplicative_identity = add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) ),
inference(resolve,[$cnf( $equal(multiply(X_152,add(X_152,X_56)),X_152) )],[refute_0_1320,refute_0_1321]) ).
cnf(refute_0_1323,plain,
multiplicative_identity = add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,multiply(X_152,add(X_152,X_56)))))) )],[refute_0_1317,refute_0_1322]) ).
cnf(refute_0_1324,plain,
add(multiply(X,Y),inverse(multiply(X_73,X))) = multiply(add(X,inverse(multiply(X_73,X))),add(Y,inverse(multiply(X_73,X)))),
inference(subst,[],[distributivity1:[bind(Z,$fot(inverse(multiply(X_73,X))))]]) ).
cnf(refute_0_1325,plain,
multiplicative_identity = add(X,inverse(multiply(X_73,X))),
inference(subst,[],[refute_0_1176:[bind(X_10,$fot(X)),bind(X_68,$fot(X_73))]]) ).
cnf(refute_0_1326,plain,
( multiplicative_identity != add(X,inverse(multiply(X_73,X)))
| add(X,inverse(multiply(X_73,X))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X,inverse(multiply(X_73,X)))))]]) ).
cnf(refute_0_1327,plain,
add(X,inverse(multiply(X_73,X))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X,inverse(multiply(X_73,X)))) )],[refute_0_1325,refute_0_1326]) ).
cnf(refute_0_1328,plain,
( add(X,inverse(multiply(X_73,X))) != multiplicative_identity
| add(multiply(X,Y),inverse(multiply(X_73,X))) != multiply(add(X,inverse(multiply(X_73,X))),add(Y,inverse(multiply(X_73,X))))
| add(multiply(X,Y),inverse(multiply(X_73,X))) = multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),inverse(multiply(X_73,X))),multiply(add(X,inverse(multiply(X_73,X))),add(Y,inverse(multiply(X_73,X))))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1329,plain,
( add(multiply(X,Y),inverse(multiply(X_73,X))) != multiply(add(X,inverse(multiply(X_73,X))),add(Y,inverse(multiply(X_73,X))))
| add(multiply(X,Y),inverse(multiply(X_73,X))) = multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))) ),
inference(resolve,[$cnf( $equal(add(X,inverse(multiply(X_73,X))),multiplicative_identity) )],[refute_0_1327,refute_0_1328]) ).
cnf(refute_0_1330,plain,
add(multiply(X,Y),inverse(multiply(X_73,X))) = multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),inverse(multiply(X_73,X))),multiply(add(X,inverse(multiply(X_73,X))),add(Y,inverse(multiply(X_73,X))))) )],[refute_0_1324,refute_0_1329]) ).
cnf(refute_0_1331,plain,
multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))) = add(Y,inverse(multiply(X_73,X))),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,inverse(multiply(X_73,X)))))]]) ).
cnf(refute_0_1332,plain,
( multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))) != add(Y,inverse(multiply(X_73,X)))
| add(multiply(X,Y),inverse(multiply(X_73,X))) != multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X))))
| add(multiply(X,Y),inverse(multiply(X_73,X))) = add(Y,inverse(multiply(X_73,X))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),inverse(multiply(X_73,X))),multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X))))) ),[1],$fot(add(Y,inverse(multiply(X_73,X))))]]) ).
cnf(refute_0_1333,plain,
( add(multiply(X,Y),inverse(multiply(X_73,X))) != multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X))))
| add(multiply(X,Y),inverse(multiply(X_73,X))) = add(Y,inverse(multiply(X_73,X))) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X)))),add(Y,inverse(multiply(X_73,X)))) )],[refute_0_1331,refute_0_1332]) ).
cnf(refute_0_1334,plain,
add(multiply(X,Y),inverse(multiply(X_73,X))) = add(Y,inverse(multiply(X_73,X))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),inverse(multiply(X_73,X))),multiply(multiplicative_identity,add(Y,inverse(multiply(X_73,X))))) )],[refute_0_1330,refute_0_1333]) ).
cnf(refute_0_1335,plain,
add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))) = add(add(X_152,X_56),inverse(multiply(X_153,X_152))),
inference(subst,[],[refute_0_1334:[bind(X,$fot(X_152)),bind(Y,$fot(add(X_152,X_56))),bind(X_73,$fot(X_153))]]) ).
cnf(refute_0_1336,plain,
( add(multiply(X_11,X_10),X_12) != add(multiply(X_10,X_11),X_12)
| add(multiply(X_10,X_11),X_12) = add(multiply(X_11,X_10),X_12) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_11,X_10),X_12))),bind(Y0,$fot(add(multiply(X_10,X_11),X_12)))]]) ).
cnf(refute_0_1337,plain,
add(multiply(X_10,X_11),X_12) = add(multiply(X_11,X_10),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_10),X_12),add(multiply(X_10,X_11),X_12)) )],[refute_0_1134,refute_0_1336]) ).
cnf(refute_0_1338,plain,
add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) = add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))),
inference(subst,[],[refute_0_1337:[bind(X_10,$fot(add(X_152,X_56))),bind(X_11,$fot(X_152)),bind(X_12,$fot(inverse(multiply(X_153,X_152))))]]) ).
cnf(refute_0_1339,plain,
( add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))) != add(add(X_152,X_56),inverse(multiply(X_153,X_152)))
| add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) != add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152)))
| add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) = add(add(X_152,X_56),inverse(multiply(X_153,X_152))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))))),bind(Y0,$fot(add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))))),bind(Z0,$fot(add(add(X_152,X_56),inverse(multiply(X_153,X_152)))))]]) ).
cnf(refute_0_1340,plain,
( add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))) != add(add(X_152,X_56),inverse(multiply(X_153,X_152)))
| add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) = add(add(X_152,X_56),inverse(multiply(X_153,X_152))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))),add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152)))) )],[refute_0_1338,refute_0_1339]) ).
cnf(refute_0_1341,plain,
add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) = add(add(X_152,X_56),inverse(multiply(X_153,X_152))),
inference(resolve,[$cnf( $equal(add(multiply(X_152,add(X_152,X_56)),inverse(multiply(X_153,X_152))),add(add(X_152,X_56),inverse(multiply(X_153,X_152)))) )],[refute_0_1335,refute_0_1340]) ).
cnf(refute_0_1342,plain,
( add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))) != add(add(X_152,X_56),inverse(multiply(X_153,X_152)))
| multiplicative_identity != add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152)))
| multiplicative_identity = add(add(X_152,X_56),inverse(multiply(X_153,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152)))) ),[1],$fot(add(add(X_152,X_56),inverse(multiply(X_153,X_152))))]]) ).
cnf(refute_0_1343,plain,
( multiplicative_identity != add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152)))
| multiplicative_identity = add(add(X_152,X_56),inverse(multiply(X_153,X_152))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152))),add(add(X_152,X_56),inverse(multiply(X_153,X_152)))) )],[refute_0_1341,refute_0_1342]) ).
cnf(refute_0_1344,plain,
multiplicative_identity = add(add(X_152,X_56),inverse(multiply(X_153,X_152))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(add(X_152,X_56),X_152),inverse(multiply(X_153,X_152)))) )],[refute_0_1323,refute_0_1343]) ).
cnf(refute_0_1345,plain,
multiplicative_identity = add(add(X_218,X_220),inverse(multiply(X_219,X_218))),
inference(subst,[],[refute_0_1344:[bind(X_152,$fot(X_218)),bind(X_153,$fot(X_219)),bind(X_56,$fot(X_220))]]) ).
cnf(refute_0_1346,plain,
( multiplicative_identity != add(add(X_218,X_220),inverse(multiply(X_219,X_218)))
| add(add(X_218,X_220),inverse(multiply(X_219,X_218))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_218,X_220),inverse(multiply(X_219,X_218)))))]]) ).
cnf(refute_0_1347,plain,
add(add(X_218,X_220),inverse(multiply(X_219,X_218))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_218,X_220),inverse(multiply(X_219,X_218)))) )],[refute_0_1345,refute_0_1346]) ).
cnf(refute_0_1348,plain,
( multiply(inverse(add(X_218,X_220)),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))) != multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))
| add(add(X_218,X_220),inverse(multiply(X_219,X_218))) != multiplicative_identity
| multiply(inverse(add(X_218,X_220)),multiplicative_identity) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))),multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1349,plain,
( multiply(inverse(add(X_218,X_220)),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))) != multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))
| multiply(inverse(add(X_218,X_220)),multiplicative_identity) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) ),
inference(resolve,[$cnf( $equal(add(add(X_218,X_220),inverse(multiply(X_219,X_218))),multiplicative_identity) )],[refute_0_1347,refute_0_1348]) ).
cnf(refute_0_1350,plain,
multiply(inverse(add(X_218,X_220)),multiplicative_identity) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))),multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))) )],[refute_0_1311,refute_0_1349]) ).
cnf(refute_0_1351,plain,
multiply(multiplicative_identity,inverse(add(X_218,X_220))) = inverse(add(X_218,X_220)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(inverse(add(X_218,X_220))))]]) ).
cnf(refute_0_1352,plain,
multiply(inverse(add(X_218,X_220)),multiplicative_identity) = multiply(multiplicative_identity,inverse(add(X_218,X_220))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(inverse(add(X_218,X_220))))]]) ).
cnf(refute_0_1353,plain,
( multiply(inverse(add(X_218,X_220)),multiplicative_identity) != multiply(multiplicative_identity,inverse(add(X_218,X_220)))
| multiply(multiplicative_identity,inverse(add(X_218,X_220))) != inverse(add(X_218,X_220))
| multiply(inverse(add(X_218,X_220)),multiplicative_identity) = inverse(add(X_218,X_220)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(add(X_218,X_220)),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,inverse(add(X_218,X_220))))),bind(Z0,$fot(inverse(add(X_218,X_220))))]]) ).
cnf(refute_0_1354,plain,
( multiply(multiplicative_identity,inverse(add(X_218,X_220))) != inverse(add(X_218,X_220))
| multiply(inverse(add(X_218,X_220)),multiplicative_identity) = inverse(add(X_218,X_220)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),multiplicative_identity),multiply(multiplicative_identity,inverse(add(X_218,X_220)))) )],[refute_0_1352,refute_0_1353]) ).
cnf(refute_0_1355,plain,
multiply(inverse(add(X_218,X_220)),multiplicative_identity) = inverse(add(X_218,X_220)),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,inverse(add(X_218,X_220))),inverse(add(X_218,X_220))) )],[refute_0_1351,refute_0_1354]) ).
cnf(refute_0_1356,plain,
( multiply(inverse(add(X_218,X_220)),multiplicative_identity) != multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))
| multiply(inverse(add(X_218,X_220)),multiplicative_identity) != inverse(add(X_218,X_220))
| inverse(add(X_218,X_220)) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),multiplicative_identity),multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))) ),[0],$fot(inverse(add(X_218,X_220)))]]) ).
cnf(refute_0_1357,plain,
( multiply(inverse(add(X_218,X_220)),multiplicative_identity) != multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))
| inverse(add(X_218,X_220)) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),multiplicative_identity),inverse(add(X_218,X_220))) )],[refute_0_1355,refute_0_1356]) ).
cnf(refute_0_1358,plain,
inverse(add(X_218,X_220)) = multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_218,X_220)),multiplicative_identity),multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))) )],[refute_0_1350,refute_0_1357]) ).
cnf(refute_0_1359,plain,
( inverse(add(X_218,X_220)) != multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))
| multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) = inverse(add(X_218,X_220)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_218,X_220)))),bind(Y0,$fot(multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))))]]) ).
cnf(refute_0_1360,plain,
multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220))) = inverse(add(X_218,X_220)),
inference(resolve,[$cnf( $equal(inverse(add(X_218,X_220)),multiply(inverse(multiply(X_219,X_218)),inverse(add(X_218,X_220)))) )],[refute_0_1358,refute_0_1359]) ).
cnf(refute_0_1361,plain,
multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))) = inverse(add(X_313,inverse(X_312))),
inference(subst,[],[refute_0_1360:[bind(X_218,$fot(X_313)),bind(X_219,$fot(X_312)),bind(X_220,$fot(inverse(X_312)))]]) ).
cnf(refute_0_1362,plain,
multiply(X_228,X_226) = multiply(X_226,X_228),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(X_228)),bind(Y,$fot(X_226))]]) ).
cnf(refute_0_1363,plain,
( multiply(X_228,X_226) != multiply(X_226,X_228)
| multiply(X_226,X_228) = multiply(X_228,X_226) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_228,X_226))),bind(Y0,$fot(multiply(X_226,X_228)))]]) ).
cnf(refute_0_1364,plain,
multiply(X_226,X_228) = multiply(X_228,X_226),
inference(resolve,[$cnf( $equal(multiply(X_228,X_226),multiply(X_226,X_228)) )],[refute_0_1362,refute_0_1363]) ).
cnf(refute_0_1365,plain,
( multiply(X_226,X_228) != multiply(X_228,X_226)
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) ),[1,0],$fot(multiply(X_228,X_226))]]) ).
cnf(refute_0_1366,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,X_228),multiply(X_228,X_226)) )],[refute_0_1364,refute_0_1365]) ).
cnf(refute_0_1367,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) )],[refute_0_1072,refute_0_1366]) ).
cnf(refute_0_1368,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))) ),[0],$fot(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1369,plain,
( multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227)))) )],[refute_0_1072,refute_0_1368]) ).
cnf(refute_0_1370,plain,
multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,add(X_227,X_228))),multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))) )],[refute_0_1367,refute_0_1369]) ).
cnf(refute_0_1371,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228))
| multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))) ),[0],$fot(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)))]]) ).
cnf(refute_0_1372,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228))) )],[refute_0_1082,refute_0_1371]) ).
cnf(refute_0_1373,plain,
multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))),
inference(subst,[],[refute_0_1144:[bind(X_145,$fot(X_226)),bind(X_146,$fot(inverse(multiply(X_226,X_227)))),bind(X_76,$fot(X_228))]]) ).
cnf(refute_0_1374,plain,
multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) = multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)),
inference(subst,[],[refute_0_1067:[bind(X_235,$fot(X_228)),bind(X_236,$fot(X_226)),bind(X_56,$fot(multiply(X_226,X_227)))]]) ).
cnf(refute_0_1375,plain,
( multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) != multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226))
| multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))))),bind(Y0,$fot(multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)))),bind(Z0,$fot(multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))))]]) ).
cnf(refute_0_1376,plain,
( multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))),multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226))) )],[refute_0_1374,refute_0_1375]) ).
cnf(refute_0_1377,plain,
multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))),
inference(resolve,[$cnf( $equal(multiply(X_228,multiply(inverse(multiply(X_226,X_227)),X_226)),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) )],[refute_0_1373,refute_0_1376]) ).
cnf(refute_0_1378,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) ),[0],$fot(multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))))]]) ).
cnf(refute_0_1379,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227))),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) )],[refute_0_1377,refute_0_1378]) ).
cnf(refute_0_1380,plain,
( multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))) != multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))) )],[refute_0_1372,refute_0_1379]) ).
cnf(refute_0_1381,plain,
multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,X_228),inverse(multiply(X_226,X_227))),multiply(multiply(X_228,X_226),inverse(multiply(X_226,X_227)))) )],[refute_0_1370,refute_0_1380]) ).
cnf(refute_0_1382,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(X_228,inverse(add(X_227,inverse(X_226))))
| multiply(X_228,inverse(add(X_227,inverse(X_226)))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) ),[0],$fot(multiply(X_228,inverse(add(X_227,inverse(X_226)))))]]) ).
cnf(refute_0_1383,plain,
( multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(X_228,inverse(add(X_227,inverse(X_226)))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) ),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_228,inverse(add(X_227,inverse(X_226))))) )],[refute_0_1256,refute_0_1382]) ).
cnf(refute_0_1384,plain,
multiply(X_228,inverse(add(X_227,inverse(X_226)))) = multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))),
inference(resolve,[$cnf( $equal(multiply(X_226,multiply(inverse(multiply(X_226,X_227)),X_228)),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) )],[refute_0_1381,refute_0_1383]) ).
cnf(refute_0_1385,plain,
( multiply(X_228,inverse(add(X_227,inverse(X_226)))) != multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))
| multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) = multiply(X_228,inverse(add(X_227,inverse(X_226)))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_228,inverse(add(X_227,inverse(X_226)))))),bind(Y0,$fot(multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))))]]) ).
cnf(refute_0_1386,plain,
multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227)))) = multiply(X_228,inverse(add(X_227,inverse(X_226)))),
inference(resolve,[$cnf( $equal(multiply(X_228,inverse(add(X_227,inverse(X_226)))),multiply(X_228,multiply(X_226,inverse(multiply(X_226,X_227))))) )],[refute_0_1384,refute_0_1385]) ).
cnf(refute_0_1387,plain,
multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))),
inference(subst,[],[refute_0_1386:[bind(X_226,$fot(X_312)),bind(X_227,$fot(X_313)),bind(X_228,$fot(inverse(multiply(X_312,X_313))))]]) ).
cnf(refute_0_1388,plain,
( multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312))))
| multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))) != inverse(add(X_313,inverse(X_312)))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))))),bind(Y0,$fot(multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))))),bind(Z0,$fot(inverse(add(X_313,inverse(X_312)))))]]) ).
cnf(refute_0_1389,plain,
( multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))) != inverse(add(X_313,inverse(X_312)))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312))))) )],[refute_0_1387,refute_0_1388]) ).
cnf(refute_0_1390,plain,
multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),inverse(add(X_313,inverse(X_312)))),inverse(add(X_313,inverse(X_312)))) )],[refute_0_1361,refute_0_1389]) ).
cnf(refute_0_1391,plain,
( multiply(X_312,inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))
| multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != inverse(add(X_313,inverse(X_312)))
| multiply(X_312,inverse(multiply(X_312,X_313))) = inverse(add(X_313,inverse(X_312))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_312,inverse(multiply(X_312,X_313))),inverse(add(X_313,inverse(X_312)))) ),[0],$fot(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))))]]) ).
cnf(refute_0_1392,plain,
( multiply(X_312,inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))
| multiply(X_312,inverse(multiply(X_312,X_313))) = inverse(add(X_313,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),inverse(add(X_313,inverse(X_312)))) )],[refute_0_1390,refute_0_1391]) ).
cnf(refute_0_1393,plain,
( multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))) != multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))
| multiply(X_312,inverse(multiply(X_312,X_313))) = inverse(add(X_313,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))) )],[refute_0_1310,refute_0_1392]) ).
cnf(refute_0_1394,plain,
multiply(X_312,inverse(multiply(X_312,X_313))) = inverse(add(X_313,inverse(X_312))),
inference(resolve,[$cnf( $equal(multiply(multiply(X_312,inverse(X_313)),inverse(multiply(X_312,X_313))),multiply(inverse(multiply(X_312,X_313)),multiply(X_312,inverse(multiply(X_312,X_313))))) )],[refute_0_1304,refute_0_1393]) ).
cnf(refute_0_1395,plain,
add(inverse(multiply(X_134,X_133)),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))) = inverse(multiply(X_134,X_133)),
inference(subst,[],[refute_0_885:[bind(Y,$fot(inverse(X_133))),bind(Z,$fot(inverse(multiply(X_134,X_133))))]]) ).
cnf(refute_0_1396,plain,
inverse(X_133) = multiply(inverse(X_133),inverse(multiply(X_134,X_133))),
inference(subst,[],[refute_0_1190:[bind(X_56,$fot(X_133)),bind(X_73,$fot(X_134))]]) ).
cnf(refute_0_1397,plain,
( inverse(X_133) != multiply(inverse(X_133),inverse(multiply(X_134,X_133)))
| multiply(inverse(X_133),inverse(multiply(X_134,X_133))) = inverse(X_133) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_133))),bind(Y0,$fot(multiply(inverse(X_133),inverse(multiply(X_134,X_133)))))]]) ).
cnf(refute_0_1398,plain,
multiply(inverse(X_133),inverse(multiply(X_134,X_133))) = inverse(X_133),
inference(resolve,[$cnf( $equal(inverse(X_133),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))) )],[refute_0_1396,refute_0_1397]) ).
cnf(refute_0_1399,plain,
( multiply(inverse(X_133),inverse(multiply(X_134,X_133))) != inverse(X_133)
| add(inverse(multiply(X_134,X_133)),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))) != inverse(multiply(X_134,X_133))
| add(inverse(multiply(X_134,X_133)),inverse(X_133)) = inverse(multiply(X_134,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_134,X_133)),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))),inverse(multiply(X_134,X_133))) ),[0,1],$fot(inverse(X_133))]]) ).
cnf(refute_0_1400,plain,
( add(inverse(multiply(X_134,X_133)),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))) != inverse(multiply(X_134,X_133))
| add(inverse(multiply(X_134,X_133)),inverse(X_133)) = inverse(multiply(X_134,X_133)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_133),inverse(multiply(X_134,X_133))),inverse(X_133)) )],[refute_0_1398,refute_0_1399]) ).
cnf(refute_0_1401,plain,
add(inverse(multiply(X_134,X_133)),inverse(X_133)) = inverse(multiply(X_134,X_133)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_134,X_133)),multiply(inverse(X_133),inverse(multiply(X_134,X_133)))),inverse(multiply(X_134,X_133))) )],[refute_0_1395,refute_0_1400]) ).
cnf(refute_0_1402,plain,
add(inverse(multiply(X_134,X_133)),inverse(X_133)) = add(inverse(X_133),inverse(multiply(X_134,X_133))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(multiply(X_134,X_133)))),bind(X_55,$fot(inverse(X_133)))]]) ).
cnf(refute_0_1403,plain,
( add(inverse(multiply(X_134,X_133)),inverse(X_133)) != add(inverse(X_133),inverse(multiply(X_134,X_133)))
| add(inverse(multiply(X_134,X_133)),inverse(X_133)) != inverse(multiply(X_134,X_133))
| add(inverse(X_133),inverse(multiply(X_134,X_133))) = inverse(multiply(X_134,X_133)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(multiply(X_134,X_133)),inverse(X_133)),inverse(multiply(X_134,X_133))) ),[0],$fot(add(inverse(X_133),inverse(multiply(X_134,X_133))))]]) ).
cnf(refute_0_1404,plain,
( add(inverse(multiply(X_134,X_133)),inverse(X_133)) != inverse(multiply(X_134,X_133))
| add(inverse(X_133),inverse(multiply(X_134,X_133))) = inverse(multiply(X_134,X_133)) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_134,X_133)),inverse(X_133)),add(inverse(X_133),inverse(multiply(X_134,X_133)))) )],[refute_0_1402,refute_0_1403]) ).
cnf(refute_0_1405,plain,
add(inverse(X_133),inverse(multiply(X_134,X_133))) = inverse(multiply(X_134,X_133)),
inference(resolve,[$cnf( $equal(add(inverse(multiply(X_134,X_133)),inverse(X_133)),inverse(multiply(X_134,X_133))) )],[refute_0_1401,refute_0_1404]) ).
cnf(refute_0_1406,plain,
add(inverse(X_313),inverse(multiply(X_312,X_313))) = inverse(multiply(X_312,X_313)),
inference(subst,[],[refute_0_1405:[bind(X_133,$fot(X_313)),bind(X_134,$fot(X_312))]]) ).
cnf(refute_0_1407,plain,
multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),
introduced(tautology,[refl,[$fot(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))))]]) ).
cnf(refute_0_1408,plain,
( multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) != multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313))))
| add(inverse(X_313),inverse(multiply(X_312,X_313))) != inverse(multiply(X_312,X_313))
| multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(multiply(X_312,X_313))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313))))) ),[1,1],$fot(inverse(multiply(X_312,X_313)))]]) ).
cnf(refute_0_1409,plain,
( add(inverse(X_313),inverse(multiply(X_312,X_313))) != inverse(multiply(X_312,X_313))
| multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(multiply(X_312,X_313))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313))))) )],[refute_0_1407,refute_0_1408]) ).
cnf(refute_0_1410,plain,
multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = multiply(X_312,inverse(multiply(X_312,X_313))),
inference(resolve,[$cnf( $equal(add(inverse(X_313),inverse(multiply(X_312,X_313))),inverse(multiply(X_312,X_313))) )],[refute_0_1406,refute_0_1409]) ).
cnf(refute_0_1411,plain,
( multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) != multiply(X_312,inverse(multiply(X_312,X_313)))
| multiply(X_312,inverse(multiply(X_312,X_313))) != inverse(add(X_313,inverse(X_312)))
| multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))))),bind(Y0,$fot(multiply(X_312,inverse(multiply(X_312,X_313))))),bind(Z0,$fot(inverse(add(X_313,inverse(X_312)))))]]) ).
cnf(refute_0_1412,plain,
( multiply(X_312,inverse(multiply(X_312,X_313))) != inverse(add(X_313,inverse(X_312)))
| multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),multiply(X_312,inverse(multiply(X_312,X_313)))) )],[refute_0_1410,refute_0_1411]) ).
cnf(refute_0_1413,plain,
multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,X_313))),inverse(add(X_313,inverse(X_312)))) )],[refute_0_1394,refute_0_1412]) ).
cnf(refute_0_1414,plain,
add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),
inference(subst,[],[refute_0_295:[bind(X,$fot(X_312)),bind(Y,$fot(inverse(X_313))),bind(Z,$fot(inverse(multiply(X_312,X_313))))]]) ).
cnf(refute_0_1415,plain,
( multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) != inverse(add(X_313,inverse(X_312)))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313))))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))))),bind(Y0,$fot(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))))),bind(Z0,$fot(inverse(add(X_313,inverse(X_312)))))]]) ).
cnf(refute_0_1416,plain,
( multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))) != inverse(add(X_313,inverse(X_312)))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313))))) )],[refute_0_1414,refute_0_1415]) ).
cnf(refute_0_1417,plain,
add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) = inverse(add(X_313,inverse(X_312))),
inference(resolve,[$cnf( $equal(multiply(X_312,add(inverse(X_313),inverse(multiply(X_312,X_313)))),inverse(add(X_313,inverse(X_312)))) )],[refute_0_1413,refute_0_1416]) ).
cnf(refute_0_1418,plain,
( add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != multiply(X_312,inverse(X_313))
| add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != inverse(add(X_313,inverse(X_312)))
| inverse(add(X_313,inverse(X_312))) = multiply(X_312,inverse(X_313)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),multiply(X_312,inverse(X_313))) ),[0],$fot(inverse(add(X_313,inverse(X_312))))]]) ).
cnf(refute_0_1419,plain,
( add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))) != multiply(X_312,inverse(X_313))
| inverse(add(X_313,inverse(X_312))) = multiply(X_312,inverse(X_313)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),inverse(add(X_313,inverse(X_312)))) )],[refute_0_1417,refute_0_1418]) ).
cnf(refute_0_1420,plain,
inverse(add(X_313,inverse(X_312))) = multiply(X_312,inverse(X_313)),
inference(resolve,[$cnf( $equal(add(multiply(X_312,inverse(X_313)),multiply(X_312,inverse(multiply(X_312,X_313)))),multiply(X_312,inverse(X_313))) )],[refute_0_1300,refute_0_1419]) ).
cnf(refute_0_1421,plain,
inverse(add(X_11,inverse(X_312))) = multiply(X_312,inverse(X_11)),
inference(subst,[],[refute_0_1420:[bind(X_313,$fot(X_11))]]) ).
cnf(refute_0_1422,plain,
add(inverse(X_312),multiply(X_312,X_11)) = add(X_11,inverse(X_312)),
inference(subst,[],[refute_0_338:[bind(X_10,$fot(X_312))]]) ).
cnf(refute_0_1423,plain,
inverse(add(inverse(X_312),multiply(X_312,X_11))) = inverse(add(inverse(X_312),multiply(X_312,X_11))),
introduced(tautology,[refl,[$fot(inverse(add(inverse(X_312),multiply(X_312,X_11))))]]) ).
cnf(refute_0_1424,plain,
( add(inverse(X_312),multiply(X_312,X_11)) != add(X_11,inverse(X_312))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) != inverse(add(inverse(X_312),multiply(X_312,X_11)))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) = inverse(add(X_11,inverse(X_312))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(inverse(X_312),multiply(X_312,X_11))),inverse(add(inverse(X_312),multiply(X_312,X_11)))) ),[1,0],$fot(add(X_11,inverse(X_312)))]]) ).
cnf(refute_0_1425,plain,
( add(inverse(X_312),multiply(X_312,X_11)) != add(X_11,inverse(X_312))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) = inverse(add(X_11,inverse(X_312))) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_312),multiply(X_312,X_11))),inverse(add(inverse(X_312),multiply(X_312,X_11)))) )],[refute_0_1423,refute_0_1424]) ).
cnf(refute_0_1426,plain,
inverse(add(inverse(X_312),multiply(X_312,X_11))) = inverse(add(X_11,inverse(X_312))),
inference(resolve,[$cnf( $equal(add(inverse(X_312),multiply(X_312,X_11)),add(X_11,inverse(X_312))) )],[refute_0_1422,refute_0_1425]) ).
cnf(refute_0_1427,plain,
( inverse(add(X_11,inverse(X_312))) != multiply(X_312,inverse(X_11))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) != inverse(add(X_11,inverse(X_312)))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) = multiply(X_312,inverse(X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(inverse(add(inverse(X_312),multiply(X_312,X_11))))),bind(Y0,$fot(inverse(add(X_11,inverse(X_312))))),bind(Z0,$fot(multiply(X_312,inverse(X_11))))]]) ).
cnf(refute_0_1428,plain,
( inverse(add(X_11,inverse(X_312))) != multiply(X_312,inverse(X_11))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) = multiply(X_312,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_312),multiply(X_312,X_11))),inverse(add(X_11,inverse(X_312)))) )],[refute_0_1426,refute_0_1427]) ).
cnf(refute_0_1429,plain,
inverse(add(inverse(X_312),multiply(X_312,X_11))) = multiply(X_312,inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(add(X_11,inverse(X_312))),multiply(X_312,inverse(X_11))) )],[refute_0_1421,refute_0_1428]) ).
cnf(refute_0_1430,plain,
multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))),
inference(subst,[],[refute_0_1286:[bind(X_226,$fot(inverse(add(X_100,X_99)))),bind(X_227,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_1431,plain,
multiply(inverse(add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(add(X_99,X_100))),bind(X_57,$fot(inverse(add(X_100,X_99))))]]) ).
cnf(refute_0_1432,plain,
add(inverse(X_42),multiply(X_42,add(X_10,X_42))) = add(add(X_10,X_42),inverse(X_42)),
inference(subst,[],[refute_0_338:[bind(X_10,$fot(X_42)),bind(X_11,$fot(add(X_10,X_42)))]]) ).
cnf(refute_0_1433,plain,
add(multiply(X_10,additive_identity),X_42) = multiply(X_42,add(X_10,X_42)),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(X_42))]]) ).
cnf(refute_0_1434,plain,
( add(multiply(X_10,additive_identity),X_42) != multiply(X_42,add(X_10,X_42))
| multiply(X_42,add(X_10,X_42)) = add(multiply(X_10,additive_identity),X_42) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,additive_identity),X_42))),bind(Y0,$fot(multiply(X_42,add(X_10,X_42))))]]) ).
cnf(refute_0_1435,plain,
multiply(X_42,add(X_10,X_42)) = add(multiply(X_10,additive_identity),X_42),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_42),multiply(X_42,add(X_10,X_42))) )],[refute_0_1433,refute_0_1434]) ).
cnf(refute_0_1436,plain,
( multiply(X_42,add(X_10,X_42)) != add(multiply(X_10,additive_identity),X_42)
| add(inverse(X_42),multiply(X_42,add(X_10,X_42))) != add(add(X_10,X_42),inverse(X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(add(X_10,X_42),inverse(X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_42),multiply(X_42,add(X_10,X_42))),add(add(X_10,X_42),inverse(X_42))) ),[0,1],$fot(add(multiply(X_10,additive_identity),X_42))]]) ).
cnf(refute_0_1437,plain,
( add(inverse(X_42),multiply(X_42,add(X_10,X_42))) != add(add(X_10,X_42),inverse(X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(add(X_10,X_42),inverse(X_42)) ),
inference(resolve,[$cnf( $equal(multiply(X_42,add(X_10,X_42)),add(multiply(X_10,additive_identity),X_42)) )],[refute_0_1435,refute_0_1436]) ).
cnf(refute_0_1438,plain,
add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(add(X_10,X_42),inverse(X_42)),
inference(resolve,[$cnf( $equal(add(inverse(X_42),multiply(X_42,add(X_10,X_42))),add(add(X_10,X_42),inverse(X_42))) )],[refute_0_1432,refute_0_1437]) ).
cnf(refute_0_1439,plain,
add(add(X_10,X_42),inverse(X_42)) = add(inverse(X_42),add(X_10,X_42)),
inference(subst,[],[refute_0_36:[bind(X,$fot(inverse(X_42))),bind(Y,$fot(add(X_10,X_42)))]]) ).
cnf(refute_0_1440,plain,
( add(add(X_10,X_42),inverse(X_42)) != add(inverse(X_42),add(X_10,X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(add(X_10,X_42),inverse(X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),add(X_10,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(add(X_10,X_42),inverse(X_42))) ),[1],$fot(add(inverse(X_42),add(X_10,X_42)))]]) ).
cnf(refute_0_1441,plain,
( add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(add(X_10,X_42),inverse(X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),add(X_10,X_42)) ),
inference(resolve,[$cnf( $equal(add(add(X_10,X_42),inverse(X_42)),add(inverse(X_42),add(X_10,X_42))) )],[refute_0_1439,refute_0_1440]) ).
cnf(refute_0_1442,plain,
add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),add(X_10,X_42)),
inference(resolve,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(add(X_10,X_42),inverse(X_42))) )],[refute_0_1438,refute_0_1441]) ).
cnf(refute_0_1443,plain,
add(X_42,inverse(X_42)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_42))]]) ).
cnf(refute_0_1444,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity)))),
inference(subst,[],[distributivity1:[bind(Y,$fot(inverse(X_41))),bind(Z,$fot(add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1445,plain,
add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))) = multiplicative_identity,
inference(subst,[],[refute_0_405:[bind(X_38,$fot(X_41))]]) ).
cnf(refute_0_1446,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))))
| add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))) != multiplicative_identity
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1447,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))))
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) )],[refute_0_1445,refute_0_1446]) ).
cnf(refute_0_1448,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))))) )],[refute_0_1444,refute_0_1447]) ).
cnf(refute_0_1449,plain,
multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) = add(X,add(X_41,multiply(additive_identity,additive_identity))),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X,add(X_41,multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_1450,plain,
( multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity)
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X,add(X_41,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity)) ),[1],$fot(add(X,add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1451,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity)
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X,add(X_41,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity),add(X,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1449,refute_0_1450]) ).
cnf(refute_0_1452,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X,add(X_41,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(X,add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity)) )],[refute_0_1448,refute_0_1451]) ).
cnf(refute_0_1453,plain,
add(X_41,multiply(X,inverse(X_41))) = add(X_41,X),
inference(subst,[],[refute_0_110:[bind(X_21,$fot(X_41)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_1454,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = multiply(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))),
inference(subst,[],[distributivity1:[bind(X,$fot(inverse(X_41))),bind(Z,$fot(add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1455,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity))))
| add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))) != multiplicative_identity
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity))))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1456,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != multiply(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity))))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),multiplicative_identity) )],[refute_0_1445,refute_0_1455]) ).
cnf(refute_0_1457,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),multiply(add(inverse(X_41),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity))))) )],[refute_0_1454,refute_0_1456]) ).
cnf(refute_0_1458,plain,
multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))) = add(Y,add(X_41,multiply(additive_identity,additive_identity))),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,add(X_41,multiply(additive_identity,additive_identity)))))]]) ).
cnf(refute_0_1459,plain,
( multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity))))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(Y,add(X_41,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity))))) ),[1],$fot(add(Y,add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1460,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity))))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(Y,add(X_41,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity)))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1458,refute_0_1459]) ).
cnf(refute_0_1461,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(Y,add(X_41,multiply(additive_identity,additive_identity))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),multiply(multiplicative_identity,add(Y,add(X_41,multiply(additive_identity,additive_identity))))) )],[refute_0_1457,refute_0_1460]) ).
cnf(refute_0_1462,plain,
add(X_41,multiply(inverse(X_41),Y)) = add(X_41,Y),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X_41)),bind(X_23,$fot(Y))]]) ).
cnf(refute_0_1463,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40))),
inference(subst,[],[distributivity1:[bind(Y,$fot(inverse(X_40))),bind(Z,$fot(add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1464,plain,
add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(inverse(X_23),multiply(X_23,X_23)),
inference(subst,[],[refute_0_486:[bind(X_21,$fot(inverse(X_23)))]]) ).
cnf(refute_0_1465,plain,
add(inverse(X_23),multiply(X_23,X_23)) = add(X_23,inverse(X_23)),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_23)),bind(X_11,$fot(X_23))]]) ).
cnf(refute_0_1466,plain,
( add(inverse(X_23),multiply(X_23,X_23)) != add(X_23,inverse(X_23))
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(inverse(X_23),multiply(X_23,X_23))
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(X_23,inverse(X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)),add(inverse(X_23),multiply(X_23,X_23))) ),[1],$fot(add(X_23,inverse(X_23)))]]) ).
cnf(refute_0_1467,plain,
( add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(inverse(X_23),multiply(X_23,X_23))
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(X_23,inverse(X_23)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_23),multiply(X_23,X_23)),add(X_23,inverse(X_23))) )],[refute_0_1465,refute_0_1466]) ).
cnf(refute_0_1468,plain,
add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = add(X_23,inverse(X_23)),
inference(resolve,[$cnf( $equal(add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)),add(inverse(X_23),multiply(X_23,X_23))) )],[refute_0_1464,refute_0_1467]) ).
cnf(refute_0_1469,plain,
add(X_23,inverse(X_23)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_23))]]) ).
cnf(refute_0_1470,plain,
( add(X_23,inverse(X_23)) != multiplicative_identity
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(X_23,inverse(X_23))
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiplicative_identity ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)),add(X_23,inverse(X_23))) ),[1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1471,plain,
( add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) != add(X_23,inverse(X_23))
| add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(X_23,inverse(X_23)),multiplicative_identity) )],[refute_0_1469,refute_0_1470]) ).
cnf(refute_0_1472,plain,
add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(X_23),add(multiply(additive_identity,additive_identity),X_23)),add(X_23,inverse(X_23))) )],[refute_0_1468,refute_0_1471]) ).
cnf(refute_0_1473,plain,
add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)) = multiplicative_identity,
inference(subst,[],[refute_0_1472:[bind(X_23,$fot(X_40))]]) ).
cnf(refute_0_1474,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)))
| add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)) != multiplicative_identity
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1475,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)))
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) )],[refute_0_1473,refute_0_1474]) ).
cnf(refute_0_1476,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)))) )],[refute_0_1463,refute_0_1475]) ).
cnf(refute_0_1477,plain,
multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) = add(X,add(multiply(additive_identity,additive_identity),X_40)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X,add(multiply(additive_identity,additive_identity),X_40))))]]) ).
cnf(refute_0_1478,plain,
( multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity)
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X,add(multiply(additive_identity,additive_identity),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity)) ),[1],$fot(add(X,add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1479,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity)
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X,add(multiply(additive_identity,additive_identity),X_40)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity),add(X,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1477,refute_0_1478]) ).
cnf(refute_0_1480,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X,add(multiply(additive_identity,additive_identity),X_40)),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(X,add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity)) )],[refute_0_1476,refute_0_1479]) ).
cnf(refute_0_1481,plain,
add(X_40,multiply(X,inverse(X_40))) = add(X_40,X),
inference(subst,[],[refute_0_110:[bind(X_21,$fot(X_40)),bind(X_22,$fot(X))]]) ).
cnf(refute_0_1482,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = multiply(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40))),
inference(subst,[],[distributivity1:[bind(X,$fot(inverse(X_40))),bind(Z,$fot(add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1483,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40)))
| add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)) != multiplicative_identity
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1484,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != multiply(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40)))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),multiplicative_identity) )],[refute_0_1473,refute_0_1483]) ).
cnf(refute_0_1485,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),multiply(add(inverse(X_40),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40)))) )],[refute_0_1482,refute_0_1484]) ).
cnf(refute_0_1486,plain,
multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))) = add(Y,add(multiply(additive_identity,additive_identity),X_40)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(Y,add(multiply(additive_identity,additive_identity),X_40))))]]) ).
cnf(refute_0_1487,plain,
( multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40)))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(Y,add(multiply(additive_identity,additive_identity),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40)))) ),[1],$fot(add(Y,add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1488,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40)))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(Y,add(multiply(additive_identity,additive_identity),X_40)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40))),add(Y,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1486,refute_0_1487]) ).
cnf(refute_0_1489,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(Y,add(multiply(additive_identity,additive_identity),X_40)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),multiply(multiplicative_identity,add(Y,add(multiply(additive_identity,additive_identity),X_40)))) )],[refute_0_1485,refute_0_1488]) ).
cnf(refute_0_1490,plain,
add(X_40,multiply(inverse(X_40),Y)) = add(X_40,Y),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X_40)),bind(X_23,$fot(Y))]]) ).
cnf(refute_0_1491,plain,
add(multiply(inverse(X_40),Y),X_40) = add(X_40,multiply(inverse(X_40),Y)),
inference(subst,[],[refute_0_36:[bind(X,$fot(X_40)),bind(Y,$fot(multiply(inverse(X_40),Y)))]]) ).
cnf(refute_0_1492,plain,
( add(X_40,multiply(inverse(X_40),Y)) != add(X_40,Y)
| add(multiply(inverse(X_40),Y),X_40) != add(X_40,multiply(inverse(X_40),Y))
| add(multiply(inverse(X_40),Y),X_40) = add(X_40,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(X_40),Y),X_40))),bind(Y0,$fot(add(X_40,multiply(inverse(X_40),Y)))),bind(Z0,$fot(add(X_40,Y)))]]) ).
cnf(refute_0_1493,plain,
( add(X_40,multiply(inverse(X_40),Y)) != add(X_40,Y)
| add(multiply(inverse(X_40),Y),X_40) = add(X_40,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),X_40),add(X_40,multiply(inverse(X_40),Y))) )],[refute_0_1491,refute_0_1492]) ).
cnf(refute_0_1494,plain,
add(multiply(inverse(X_40),Y),X_40) = add(X_40,Y),
inference(resolve,[$cnf( $equal(add(X_40,multiply(inverse(X_40),Y)),add(X_40,Y)) )],[refute_0_1490,refute_0_1493]) ).
cnf(refute_0_1495,plain,
add(additive_identity,X_40) = X_40,
inference(subst,[],[additive_id2:[bind(X,$fot(X_40))]]) ).
cnf(refute_0_1496,plain,
add(multiply(additive_identity,additive_identity),X_40) = add(multiply(additive_identity,additive_identity),X_40),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,additive_identity),X_40))]]) ).
cnf(refute_0_1497,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_40) != add(multiply(additive_identity,additive_identity),X_40)
| add(multiply(additive_identity,additive_identity),X_40) = add(additive_identity,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),add(multiply(additive_identity,additive_identity),X_40)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1498,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),X_40) = add(additive_identity,X_40) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),add(multiply(additive_identity,additive_identity),X_40)) )],[refute_0_1496,refute_0_1497]) ).
cnf(refute_0_1499,plain,
add(multiply(additive_identity,additive_identity),X_40) = add(additive_identity,X_40),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_1498]) ).
cnf(refute_0_1500,plain,
( add(multiply(additive_identity,additive_identity),X_40) != add(additive_identity,X_40)
| add(additive_identity,X_40) != X_40
| add(multiply(additive_identity,additive_identity),X_40) = X_40 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),X_40))),bind(Y0,$fot(add(additive_identity,X_40))),bind(Z0,$fot(X_40))]]) ).
cnf(refute_0_1501,plain,
( add(additive_identity,X_40) != X_40
| add(multiply(additive_identity,additive_identity),X_40) = X_40 ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),add(additive_identity,X_40)) )],[refute_0_1499,refute_0_1500]) ).
cnf(refute_0_1502,plain,
add(multiply(additive_identity,additive_identity),X_40) = X_40,
inference(resolve,[$cnf( $equal(add(additive_identity,X_40),X_40) )],[refute_0_1495,refute_0_1501]) ).
cnf(refute_0_1503,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1504,plain,
( add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(inverse(X_40),Y),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_1505,plain,
( add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(inverse(X_40),Y),X_40) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1503,refute_0_1504]) ).
cnf(refute_0_1506,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(inverse(X_40),Y),X_40),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),X_40) )],[refute_0_1502,refute_0_1505]) ).
cnf(refute_0_1507,plain,
( add(multiply(inverse(X_40),Y),X_40) != add(X_40,Y)
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(multiply(inverse(X_40),Y),X_40)
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)))),bind(Y0,$fot(add(multiply(inverse(X_40),Y),X_40))),bind(Z0,$fot(add(X_40,Y)))]]) ).
cnf(refute_0_1508,plain,
( add(multiply(inverse(X_40),Y),X_40) != add(X_40,Y)
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(inverse(X_40),Y),X_40)) )],[refute_0_1506,refute_0_1507]) ).
cnf(refute_0_1509,plain,
add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,Y),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),X_40),add(X_40,Y)) )],[refute_0_1494,refute_0_1508]) ).
cnf(refute_0_1510,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(X_40,Y)
| add(X_40,Y) = add(Y,add(multiply(additive_identity,additive_identity),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40))) ),[0],$fot(add(X_40,Y))]]) ).
cnf(refute_0_1511,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,Y) = add(Y,add(multiply(additive_identity,additive_identity),X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(X_40,Y)) )],[refute_0_1509,refute_0_1510]) ).
cnf(refute_0_1512,plain,
add(Y,add(multiply(additive_identity,additive_identity),X_40)) = add(Y,add(multiply(additive_identity,additive_identity),X_40)),
introduced(tautology,[refl,[$fot(add(Y,add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1513,plain,
( add(Y,add(multiply(additive_identity,additive_identity),X_40)) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(Y,add(multiply(additive_identity,additive_identity),X_40)) = add(Y,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_1514,plain,
( add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(Y,add(multiply(additive_identity,additive_identity),X_40)) = add(Y,X_40) ),
inference(resolve,[$cnf( $equal(add(Y,add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1512,refute_0_1513]) ).
cnf(refute_0_1515,plain,
add(Y,add(multiply(additive_identity,additive_identity),X_40)) = add(Y,X_40),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),X_40) )],[refute_0_1502,refute_0_1514]) ).
cnf(refute_0_1516,plain,
( add(Y,add(multiply(additive_identity,additive_identity),X_40)) != add(Y,X_40)
| add(X_40,Y) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,Y) = add(Y,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_40,Y),add(Y,add(multiply(additive_identity,additive_identity),X_40))) ),[1],$fot(add(Y,X_40))]]) ).
cnf(refute_0_1517,plain,
( add(X_40,Y) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,Y) = add(Y,X_40) ),
inference(resolve,[$cnf( $equal(add(Y,add(multiply(additive_identity,additive_identity),X_40)),add(Y,X_40)) )],[refute_0_1515,refute_0_1516]) ).
cnf(refute_0_1518,plain,
( add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)) != add(Y,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,Y) = add(Y,X_40) ),
inference(resolve,[$cnf( $equal(add(X_40,Y),add(Y,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1511,refute_0_1517]) ).
cnf(refute_0_1519,plain,
add(X_40,Y) = add(Y,X_40),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_40),Y),add(multiply(additive_identity,additive_identity),X_40)),add(Y,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1489,refute_0_1518]) ).
cnf(refute_0_1520,plain,
( add(X_40,Y) != add(Y,X_40)
| add(Y,X_40) = add(X_40,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_40,Y))),bind(Y0,$fot(add(Y,X_40)))]]) ).
cnf(refute_0_1521,plain,
add(Y,X_40) = add(X_40,Y),
inference(resolve,[$cnf( $equal(add(X_40,Y),add(Y,X_40)) )],[refute_0_1519,refute_0_1520]) ).
cnf(refute_0_1522,plain,
add(multiply(X,inverse(X_40)),X_40) = add(X_40,multiply(X,inverse(X_40))),
inference(subst,[],[refute_0_1521:[bind(Y,$fot(multiply(X,inverse(X_40))))]]) ).
cnf(refute_0_1523,plain,
( add(X_40,multiply(X,inverse(X_40))) != add(X_40,X)
| add(multiply(X,inverse(X_40)),X_40) != add(X_40,multiply(X,inverse(X_40)))
| add(multiply(X,inverse(X_40)),X_40) = add(X_40,X) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,inverse(X_40)),X_40))),bind(Y0,$fot(add(X_40,multiply(X,inverse(X_40))))),bind(Z0,$fot(add(X_40,X)))]]) ).
cnf(refute_0_1524,plain,
( add(X_40,multiply(X,inverse(X_40))) != add(X_40,X)
| add(multiply(X,inverse(X_40)),X_40) = add(X_40,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),X_40),add(X_40,multiply(X,inverse(X_40)))) )],[refute_0_1522,refute_0_1523]) ).
cnf(refute_0_1525,plain,
add(multiply(X,inverse(X_40)),X_40) = add(X_40,X),
inference(resolve,[$cnf( $equal(add(X_40,multiply(X,inverse(X_40))),add(X_40,X)) )],[refute_0_1481,refute_0_1524]) ).
cnf(refute_0_1526,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1527,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(X,inverse(X_40)),X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_1528,plain,
( add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(X,inverse(X_40)),X_40) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1526,refute_0_1527]) ).
cnf(refute_0_1529,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(multiply(X,inverse(X_40)),X_40),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),X_40) )],[refute_0_1502,refute_0_1528]) ).
cnf(refute_0_1530,plain,
( add(multiply(X,inverse(X_40)),X_40) != add(X_40,X)
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(multiply(X,inverse(X_40)),X_40)
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,X) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)))),bind(Y0,$fot(add(multiply(X,inverse(X_40)),X_40))),bind(Z0,$fot(add(X_40,X)))]]) ).
cnf(refute_0_1531,plain,
( add(multiply(X,inverse(X_40)),X_40) != add(X_40,X)
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(multiply(X,inverse(X_40)),X_40)) )],[refute_0_1529,refute_0_1530]) ).
cnf(refute_0_1532,plain,
add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) = add(X_40,X),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),X_40),add(X_40,X)) )],[refute_0_1525,refute_0_1531]) ).
cnf(refute_0_1533,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(X_40,X)
| add(X_40,X) = add(X,add(multiply(additive_identity,additive_identity),X_40)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(X,add(multiply(additive_identity,additive_identity),X_40))) ),[0],$fot(add(X_40,X))]]) ).
cnf(refute_0_1534,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,X) = add(X,add(multiply(additive_identity,additive_identity),X_40)) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(X_40,X)) )],[refute_0_1532,refute_0_1533]) ).
cnf(refute_0_1535,plain,
add(X,add(multiply(additive_identity,additive_identity),X_40)) = add(X,add(multiply(additive_identity,additive_identity),X_40)),
introduced(tautology,[refl,[$fot(add(X,add(multiply(additive_identity,additive_identity),X_40)))]]) ).
cnf(refute_0_1536,plain,
( add(X,add(multiply(additive_identity,additive_identity),X_40)) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(X,add(multiply(additive_identity,additive_identity),X_40)) = add(X,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(X,add(multiply(additive_identity,additive_identity),X_40))) ),[1,1],$fot(X_40)]]) ).
cnf(refute_0_1537,plain,
( add(multiply(additive_identity,additive_identity),X_40) != X_40
| add(X,add(multiply(additive_identity,additive_identity),X_40)) = add(X,X_40) ),
inference(resolve,[$cnf( $equal(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(X,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1535,refute_0_1536]) ).
cnf(refute_0_1538,plain,
add(X,add(multiply(additive_identity,additive_identity),X_40)) = add(X,X_40),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),X_40),X_40) )],[refute_0_1502,refute_0_1537]) ).
cnf(refute_0_1539,plain,
( add(X,add(multiply(additive_identity,additive_identity),X_40)) != add(X,X_40)
| add(X_40,X) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,X) = add(X,X_40) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_40,X),add(X,add(multiply(additive_identity,additive_identity),X_40))) ),[1],$fot(add(X,X_40))]]) ).
cnf(refute_0_1540,plain,
( add(X_40,X) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,X) = add(X,X_40) ),
inference(resolve,[$cnf( $equal(add(X,add(multiply(additive_identity,additive_identity),X_40)),add(X,X_40)) )],[refute_0_1538,refute_0_1539]) ).
cnf(refute_0_1541,plain,
( add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)) != add(X,add(multiply(additive_identity,additive_identity),X_40))
| add(X_40,X) = add(X,X_40) ),
inference(resolve,[$cnf( $equal(add(X_40,X),add(X,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1534,refute_0_1540]) ).
cnf(refute_0_1542,plain,
add(X_40,X) = add(X,X_40),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_40)),add(multiply(additive_identity,additive_identity),X_40)),add(X,add(multiply(additive_identity,additive_identity),X_40))) )],[refute_0_1480,refute_0_1541]) ).
cnf(refute_0_1543,plain,
( add(X_40,X) != add(X,X_40)
| add(X,X_40) = add(X_40,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_40,X))),bind(Y0,$fot(add(X,X_40)))]]) ).
cnf(refute_0_1544,plain,
add(X,X_40) = add(X_40,X),
inference(resolve,[$cnf( $equal(add(X_40,X),add(X,X_40)) )],[refute_0_1542,refute_0_1543]) ).
cnf(refute_0_1545,plain,
add(multiply(inverse(X_41),Y),X_41) = add(X_41,multiply(inverse(X_41),Y)),
inference(subst,[],[refute_0_1544:[bind(X,$fot(multiply(inverse(X_41),Y))),bind(X_40,$fot(X_41))]]) ).
cnf(refute_0_1546,plain,
( add(X_41,multiply(inverse(X_41),Y)) != add(X_41,Y)
| add(multiply(inverse(X_41),Y),X_41) != add(X_41,multiply(inverse(X_41),Y))
| add(multiply(inverse(X_41),Y),X_41) = add(X_41,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(X_41),Y),X_41))),bind(Y0,$fot(add(X_41,multiply(inverse(X_41),Y)))),bind(Z0,$fot(add(X_41,Y)))]]) ).
cnf(refute_0_1547,plain,
( add(X_41,multiply(inverse(X_41),Y)) != add(X_41,Y)
| add(multiply(inverse(X_41),Y),X_41) = add(X_41,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),X_41),add(X_41,multiply(inverse(X_41),Y))) )],[refute_0_1545,refute_0_1546]) ).
cnf(refute_0_1548,plain,
add(multiply(inverse(X_41),Y),X_41) = add(X_41,Y),
inference(resolve,[$cnf( $equal(add(X_41,multiply(inverse(X_41),Y)),add(X_41,Y)) )],[refute_0_1462,refute_0_1547]) ).
cnf(refute_0_1549,plain,
add(X_41,additive_identity) = X_41,
inference(subst,[],[additive_id1:[bind(X,$fot(X_41))]]) ).
cnf(refute_0_1550,plain,
add(X_41,multiply(additive_identity,additive_identity)) = add(X_41,multiply(additive_identity,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_41,multiply(additive_identity,additive_identity)))]]) ).
cnf(refute_0_1551,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_41,multiply(additive_identity,additive_identity)) != add(X_41,multiply(additive_identity,additive_identity))
| add(X_41,multiply(additive_identity,additive_identity)) = add(X_41,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),add(X_41,multiply(additive_identity,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1552,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(X_41,multiply(additive_identity,additive_identity)) = add(X_41,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),add(X_41,multiply(additive_identity,additive_identity))) )],[refute_0_1550,refute_0_1551]) ).
cnf(refute_0_1553,plain,
add(X_41,multiply(additive_identity,additive_identity)) = add(X_41,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_1552]) ).
cnf(refute_0_1554,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != add(X_41,additive_identity)
| add(X_41,additive_identity) != X_41
| add(X_41,multiply(additive_identity,additive_identity)) = X_41 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_41,multiply(additive_identity,additive_identity)))),bind(Y0,$fot(add(X_41,additive_identity))),bind(Z0,$fot(X_41))]]) ).
cnf(refute_0_1555,plain,
( add(X_41,additive_identity) != X_41
| add(X_41,multiply(additive_identity,additive_identity)) = X_41 ),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),add(X_41,additive_identity)) )],[refute_0_1553,refute_0_1554]) ).
cnf(refute_0_1556,plain,
add(X_41,multiply(additive_identity,additive_identity)) = X_41,
inference(resolve,[$cnf( $equal(add(X_41,additive_identity),X_41) )],[refute_0_1549,refute_0_1555]) ).
cnf(refute_0_1557,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1558,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(inverse(X_41),Y),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1559,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(inverse(X_41),Y),X_41) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1557,refute_0_1558]) ).
cnf(refute_0_1560,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(inverse(X_41),Y),X_41),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),X_41) )],[refute_0_1556,refute_0_1559]) ).
cnf(refute_0_1561,plain,
( add(multiply(inverse(X_41),Y),X_41) != add(X_41,Y)
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(multiply(inverse(X_41),Y),X_41)
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(inverse(X_41),Y),X_41))),bind(Z0,$fot(add(X_41,Y)))]]) ).
cnf(refute_0_1562,plain,
( add(multiply(inverse(X_41),Y),X_41) != add(X_41,Y)
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,Y) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(inverse(X_41),Y),X_41)) )],[refute_0_1560,refute_0_1561]) ).
cnf(refute_0_1563,plain,
add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,Y),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),X_41),add(X_41,Y)) )],[refute_0_1548,refute_0_1562]) ).
cnf(refute_0_1564,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(X_41,Y)
| add(X_41,Y) = add(Y,add(X_41,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) ),[0],$fot(add(X_41,Y))]]) ).
cnf(refute_0_1565,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,Y) = add(Y,add(X_41,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(X_41,Y)) )],[refute_0_1563,refute_0_1564]) ).
cnf(refute_0_1566,plain,
add(Y,add(X_41,multiply(additive_identity,additive_identity))) = add(Y,add(X_41,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(Y,add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1567,plain,
( add(Y,add(X_41,multiply(additive_identity,additive_identity))) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(Y,add(X_41,multiply(additive_identity,additive_identity))) = add(Y,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1568,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(Y,add(X_41,multiply(additive_identity,additive_identity))) = add(Y,X_41) ),
inference(resolve,[$cnf( $equal(add(Y,add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1566,refute_0_1567]) ).
cnf(refute_0_1569,plain,
add(Y,add(X_41,multiply(additive_identity,additive_identity))) = add(Y,X_41),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),X_41) )],[refute_0_1556,refute_0_1568]) ).
cnf(refute_0_1570,plain,
( add(Y,add(X_41,multiply(additive_identity,additive_identity))) != add(Y,X_41)
| add(X_41,Y) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,Y) = add(Y,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_41,Y),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) ),[1],$fot(add(Y,X_41))]]) ).
cnf(refute_0_1571,plain,
( add(X_41,Y) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,Y) = add(Y,X_41) ),
inference(resolve,[$cnf( $equal(add(Y,add(X_41,multiply(additive_identity,additive_identity))),add(Y,X_41)) )],[refute_0_1569,refute_0_1570]) ).
cnf(refute_0_1572,plain,
( add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))) != add(Y,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,Y) = add(Y,X_41) ),
inference(resolve,[$cnf( $equal(add(X_41,Y),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1565,refute_0_1571]) ).
cnf(refute_0_1573,plain,
add(X_41,Y) = add(Y,X_41),
inference(resolve,[$cnf( $equal(add(multiply(inverse(X_41),Y),add(X_41,multiply(additive_identity,additive_identity))),add(Y,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1461,refute_0_1572]) ).
cnf(refute_0_1574,plain,
( add(X_41,Y) != add(Y,X_41)
| add(Y,X_41) = add(X_41,Y) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_41,Y))),bind(Y0,$fot(add(Y,X_41)))]]) ).
cnf(refute_0_1575,plain,
add(Y,X_41) = add(X_41,Y),
inference(resolve,[$cnf( $equal(add(X_41,Y),add(Y,X_41)) )],[refute_0_1573,refute_0_1574]) ).
cnf(refute_0_1576,plain,
add(multiply(X,inverse(X_41)),X_41) = add(X_41,multiply(X,inverse(X_41))),
inference(subst,[],[refute_0_1575:[bind(Y,$fot(multiply(X,inverse(X_41))))]]) ).
cnf(refute_0_1577,plain,
( add(X_41,multiply(X,inverse(X_41))) != add(X_41,X)
| add(multiply(X,inverse(X_41)),X_41) != add(X_41,multiply(X,inverse(X_41)))
| add(multiply(X,inverse(X_41)),X_41) = add(X_41,X) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,inverse(X_41)),X_41))),bind(Y0,$fot(add(X_41,multiply(X,inverse(X_41))))),bind(Z0,$fot(add(X_41,X)))]]) ).
cnf(refute_0_1578,plain,
( add(X_41,multiply(X,inverse(X_41))) != add(X_41,X)
| add(multiply(X,inverse(X_41)),X_41) = add(X_41,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),X_41),add(X_41,multiply(X,inverse(X_41)))) )],[refute_0_1576,refute_0_1577]) ).
cnf(refute_0_1579,plain,
add(multiply(X,inverse(X_41)),X_41) = add(X_41,X),
inference(resolve,[$cnf( $equal(add(X_41,multiply(X,inverse(X_41))),add(X_41,X)) )],[refute_0_1453,refute_0_1578]) ).
cnf(refute_0_1580,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1581,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(X,inverse(X_41)),X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1582,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(X,inverse(X_41)),X_41) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1580,refute_0_1581]) ).
cnf(refute_0_1583,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(multiply(X,inverse(X_41)),X_41),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),X_41) )],[refute_0_1556,refute_0_1582]) ).
cnf(refute_0_1584,plain,
( add(multiply(X,inverse(X_41)),X_41) != add(X_41,X)
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(multiply(X,inverse(X_41)),X_41)
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,X) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))))),bind(Y0,$fot(add(multiply(X,inverse(X_41)),X_41))),bind(Z0,$fot(add(X_41,X)))]]) ).
cnf(refute_0_1585,plain,
( add(multiply(X,inverse(X_41)),X_41) != add(X_41,X)
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(multiply(X,inverse(X_41)),X_41)) )],[refute_0_1583,refute_0_1584]) ).
cnf(refute_0_1586,plain,
add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) = add(X_41,X),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),X_41),add(X_41,X)) )],[refute_0_1579,refute_0_1585]) ).
cnf(refute_0_1587,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(X_41,X)
| add(X_41,X) = add(X,add(X_41,multiply(additive_identity,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(X,add(X_41,multiply(additive_identity,additive_identity)))) ),[0],$fot(add(X_41,X))]]) ).
cnf(refute_0_1588,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,X) = add(X,add(X_41,multiply(additive_identity,additive_identity))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(X_41,X)) )],[refute_0_1586,refute_0_1587]) ).
cnf(refute_0_1589,plain,
add(X,add(X_41,multiply(additive_identity,additive_identity))) = add(X,add(X_41,multiply(additive_identity,additive_identity))),
introduced(tautology,[refl,[$fot(add(X,add(X_41,multiply(additive_identity,additive_identity))))]]) ).
cnf(refute_0_1590,plain,
( add(X,add(X_41,multiply(additive_identity,additive_identity))) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(X,add(X_41,multiply(additive_identity,additive_identity))) = add(X,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(X,add(X_41,multiply(additive_identity,additive_identity)))) ),[1,1],$fot(X_41)]]) ).
cnf(refute_0_1591,plain,
( add(X_41,multiply(additive_identity,additive_identity)) != X_41
| add(X,add(X_41,multiply(additive_identity,additive_identity))) = add(X,X_41) ),
inference(resolve,[$cnf( $equal(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(X,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1589,refute_0_1590]) ).
cnf(refute_0_1592,plain,
add(X,add(X_41,multiply(additive_identity,additive_identity))) = add(X,X_41),
inference(resolve,[$cnf( $equal(add(X_41,multiply(additive_identity,additive_identity)),X_41) )],[refute_0_1556,refute_0_1591]) ).
cnf(refute_0_1593,plain,
( add(X,add(X_41,multiply(additive_identity,additive_identity))) != add(X,X_41)
| add(X_41,X) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,X) = add(X,X_41) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_41,X),add(X,add(X_41,multiply(additive_identity,additive_identity)))) ),[1],$fot(add(X,X_41))]]) ).
cnf(refute_0_1594,plain,
( add(X_41,X) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,X) = add(X,X_41) ),
inference(resolve,[$cnf( $equal(add(X,add(X_41,multiply(additive_identity,additive_identity))),add(X,X_41)) )],[refute_0_1592,refute_0_1593]) ).
cnf(refute_0_1595,plain,
( add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))) != add(X,add(X_41,multiply(additive_identity,additive_identity)))
| add(X_41,X) = add(X,X_41) ),
inference(resolve,[$cnf( $equal(add(X_41,X),add(X,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1588,refute_0_1594]) ).
cnf(refute_0_1596,plain,
add(X_41,X) = add(X,X_41),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(X_41)),add(X_41,multiply(additive_identity,additive_identity))),add(X,add(X_41,multiply(additive_identity,additive_identity)))) )],[refute_0_1452,refute_0_1595]) ).
cnf(refute_0_1597,plain,
( add(X_41,X) != add(X,X_41)
| add(X,X_41) = add(X_41,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_41,X))),bind(Y0,$fot(add(X,X_41)))]]) ).
cnf(refute_0_1598,plain,
add(X,X_41) = add(X_41,X),
inference(resolve,[$cnf( $equal(add(X_41,X),add(X,X_41)) )],[refute_0_1596,refute_0_1597]) ).
cnf(refute_0_1599,plain,
add(inverse(X_42),X_42) = add(X_42,inverse(X_42)),
inference(subst,[],[refute_0_1598:[bind(X,$fot(inverse(X_42))),bind(X_41,$fot(X_42))]]) ).
cnf(refute_0_1600,plain,
( add(X_42,inverse(X_42)) != multiplicative_identity
| add(inverse(X_42),X_42) != add(X_42,inverse(X_42))
| add(inverse(X_42),X_42) = multiplicative_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(X_42),X_42))),bind(Y0,$fot(add(X_42,inverse(X_42)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1601,plain,
( add(X_42,inverse(X_42)) != multiplicative_identity
| add(inverse(X_42),X_42) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_42),X_42),add(X_42,inverse(X_42))) )],[refute_0_1599,refute_0_1600]) ).
cnf(refute_0_1602,plain,
add(inverse(X_42),X_42) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_42,inverse(X_42)),multiplicative_identity) )],[refute_0_1443,refute_0_1601]) ).
cnf(refute_0_1603,plain,
add(additive_identity,X_42) = X_42,
inference(subst,[],[additive_id2:[bind(X,$fot(X_42))]]) ).
cnf(refute_0_1604,plain,
add(multiply(X_10,additive_identity),X_42) = add(multiply(X_10,additive_identity),X_42),
introduced(tautology,[refl,[$fot(add(multiply(X_10,additive_identity),X_42))]]) ).
cnf(refute_0_1605,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_42) != add(multiply(X_10,additive_identity),X_42)
| add(multiply(X_10,additive_identity),X_42) = add(additive_identity,X_42) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_42),add(multiply(X_10,additive_identity),X_42)) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1606,plain,
( multiply(X_10,additive_identity) != additive_identity
| add(multiply(X_10,additive_identity),X_42) = add(additive_identity,X_42) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_42),add(multiply(X_10,additive_identity),X_42)) )],[refute_0_1604,refute_0_1605]) ).
cnf(refute_0_1607,plain,
add(multiply(X_10,additive_identity),X_42) = add(additive_identity,X_42),
inference(resolve,[$cnf( $equal(multiply(X_10,additive_identity),additive_identity) )],[refute_0_853,refute_0_1606]) ).
cnf(refute_0_1608,plain,
( add(multiply(X_10,additive_identity),X_42) != add(additive_identity,X_42)
| add(additive_identity,X_42) != X_42
| add(multiply(X_10,additive_identity),X_42) = X_42 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_10,additive_identity),X_42))),bind(Y0,$fot(add(additive_identity,X_42))),bind(Z0,$fot(X_42))]]) ).
cnf(refute_0_1609,plain,
( add(additive_identity,X_42) != X_42
| add(multiply(X_10,additive_identity),X_42) = X_42 ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_42),add(additive_identity,X_42)) )],[refute_0_1607,refute_0_1608]) ).
cnf(refute_0_1610,plain,
add(multiply(X_10,additive_identity),X_42) = X_42,
inference(resolve,[$cnf( $equal(add(additive_identity,X_42),X_42) )],[refute_0_1603,refute_0_1609]) ).
cnf(refute_0_1611,plain,
add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),
introduced(tautology,[refl,[$fot(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)))]]) ).
cnf(refute_0_1612,plain,
( add(multiply(X_10,additive_identity),X_42) != X_42
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(inverse(X_42),add(multiply(X_10,additive_identity),X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),X_42) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(inverse(X_42),add(multiply(X_10,additive_identity),X_42))) ),[1,1],$fot(X_42)]]) ).
cnf(refute_0_1613,plain,
( add(multiply(X_10,additive_identity),X_42) != X_42
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),X_42) ),
inference(resolve,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(inverse(X_42),add(multiply(X_10,additive_identity),X_42))) )],[refute_0_1611,refute_0_1612]) ).
cnf(refute_0_1614,plain,
add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = add(inverse(X_42),X_42),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_42),X_42) )],[refute_0_1610,refute_0_1613]) ).
cnf(refute_0_1615,plain,
( add(inverse(X_42),X_42) != multiplicative_identity
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(inverse(X_42),X_42)
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = multiplicative_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)))),bind(Y0,$fot(add(inverse(X_42),X_42))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1616,plain,
( add(inverse(X_42),X_42) != multiplicative_identity
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(inverse(X_42),X_42)) )],[refute_0_1614,refute_0_1615]) ).
cnf(refute_0_1617,plain,
add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(inverse(X_42),X_42),multiplicative_identity) )],[refute_0_1602,refute_0_1616]) ).
cnf(refute_0_1618,plain,
( add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(inverse(X_42),add(X_10,X_42))
| add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != multiplicative_identity
| multiplicative_identity = add(inverse(X_42),add(X_10,X_42)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(inverse(X_42),add(X_10,X_42))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1619,plain,
( add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)) != add(inverse(X_42),add(X_10,X_42))
| multiplicative_identity = add(inverse(X_42),add(X_10,X_42)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),multiplicative_identity) )],[refute_0_1617,refute_0_1618]) ).
cnf(refute_0_1620,plain,
multiplicative_identity = add(inverse(X_42),add(X_10,X_42)),
inference(resolve,[$cnf( $equal(add(inverse(X_42),add(multiply(X_10,additive_identity),X_42)),add(inverse(X_42),add(X_10,X_42))) )],[refute_0_1442,refute_0_1619]) ).
cnf(refute_0_1621,plain,
multiplicative_identity = add(inverse(add(X_97,X_65)),add(X_97,add(X_97,X_65))),
inference(subst,[],[refute_0_1620:[bind(X_10,$fot(X_97)),bind(X_42,$fot(add(X_97,X_65)))]]) ).
cnf(refute_0_1622,plain,
add(inverse(inverse(X_64)),multiply(inverse(X_64),add(X_64,X_65))) = add(add(X_64,X_65),inverse(inverse(X_64))),
inference(subst,[],[refute_0_338:[bind(X_10,$fot(inverse(X_64))),bind(X_11,$fot(add(X_64,X_65)))]]) ).
cnf(refute_0_1623,plain,
multiply(inverse(X_64),add(X_64,X_65)) = multiply(X_65,inverse(X_64)),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(X_64)),bind(X_57,$fot(X_65))]]) ).
cnf(refute_0_1624,plain,
( multiply(inverse(X_64),add(X_64,X_65)) != multiply(X_65,inverse(X_64))
| add(inverse(inverse(X_64)),multiply(inverse(X_64),add(X_64,X_65))) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(add(X_64,X_65),inverse(inverse(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(inverse(X_64),add(X_64,X_65))),add(add(X_64,X_65),inverse(inverse(X_64)))) ),[0,1],$fot(multiply(X_65,inverse(X_64)))]]) ).
cnf(refute_0_1625,plain,
( add(inverse(inverse(X_64)),multiply(inverse(X_64),add(X_64,X_65))) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(add(X_64,X_65),inverse(inverse(X_64))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_64),add(X_64,X_65)),multiply(X_65,inverse(X_64))) )],[refute_0_1623,refute_0_1624]) ).
cnf(refute_0_1626,plain,
add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(add(X_64,X_65),inverse(inverse(X_64))),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(inverse(X_64),add(X_64,X_65))),add(add(X_64,X_65),inverse(inverse(X_64)))) )],[refute_0_1622,refute_0_1625]) ).
cnf(refute_0_1627,plain,
inverse(inverse(X_64)) = X_64,
inference(subst,[],[refute_0_219:[bind(X_37,$fot(X_64))]]) ).
cnf(refute_0_1628,plain,
add(X_65,inverse(inverse(X_64))) = add(X_65,inverse(inverse(X_64))),
introduced(tautology,[refl,[$fot(add(X_65,inverse(inverse(X_64))))]]) ).
cnf(refute_0_1629,plain,
( add(X_65,inverse(inverse(X_64))) != add(X_65,inverse(inverse(X_64)))
| inverse(inverse(X_64)) != X_64
| add(X_65,inverse(inverse(X_64))) = add(X_65,X_64) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_65,inverse(inverse(X_64))),add(X_65,inverse(inverse(X_64)))) ),[1,1],$fot(X_64)]]) ).
cnf(refute_0_1630,plain,
( inverse(inverse(X_64)) != X_64
| add(X_65,inverse(inverse(X_64))) = add(X_65,X_64) ),
inference(resolve,[$cnf( $equal(add(X_65,inverse(inverse(X_64))),add(X_65,inverse(inverse(X_64)))) )],[refute_0_1628,refute_0_1629]) ).
cnf(refute_0_1631,plain,
add(X_65,inverse(inverse(X_64))) = add(X_65,X_64),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_1627,refute_0_1630]) ).
cnf(refute_0_1632,plain,
add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(X_65,inverse(inverse(X_64))),
inference(subst,[],[refute_0_44:[bind(X_10,$fot(X_65)),bind(X_11,$fot(inverse(X_64)))]]) ).
cnf(refute_0_1633,plain,
( add(X_65,inverse(inverse(X_64))) != add(X_65,X_64)
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) != add(X_65,inverse(inverse(X_64)))
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(X_65,X_64) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))))),bind(Y0,$fot(add(X_65,inverse(inverse(X_64))))),bind(Z0,$fot(add(X_65,X_64)))]]) ).
cnf(refute_0_1634,plain,
( add(X_65,inverse(inverse(X_64))) != add(X_65,X_64)
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(X_65,X_64) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))),add(X_65,inverse(inverse(X_64)))) )],[refute_0_1632,refute_0_1633]) ).
cnf(refute_0_1635,plain,
add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) = add(X_65,X_64),
inference(resolve,[$cnf( $equal(add(X_65,inverse(inverse(X_64))),add(X_65,X_64)) )],[refute_0_1631,refute_0_1634]) ).
cnf(refute_0_1636,plain,
( add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) != add(X_65,X_64)
| add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(X_65,X_64) = add(add(X_64,X_65),inverse(inverse(X_64))) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))),add(add(X_64,X_65),inverse(inverse(X_64)))) ),[0],$fot(add(X_65,X_64))]]) ).
cnf(refute_0_1637,plain,
( add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(X_65,X_64) = add(add(X_64,X_65),inverse(inverse(X_64))) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))),add(X_65,X_64)) )],[refute_0_1635,refute_0_1636]) ).
cnf(refute_0_1638,plain,
add(inverse(inverse(X_64)),add(X_64,X_65)) = add(inverse(inverse(X_64)),add(X_64,X_65)),
introduced(tautology,[refl,[$fot(add(inverse(inverse(X_64)),add(X_64,X_65)))]]) ).
cnf(refute_0_1639,plain,
( add(inverse(inverse(X_64)),add(X_64,X_65)) != add(inverse(inverse(X_64)),add(X_64,X_65))
| inverse(inverse(X_64)) != X_64
| add(inverse(inverse(X_64)),add(X_64,X_65)) = add(X_64,add(X_64,X_65)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(inverse(X_64)),add(X_64,X_65)),add(inverse(inverse(X_64)),add(X_64,X_65))) ),[1,0],$fot(X_64)]]) ).
cnf(refute_0_1640,plain,
( inverse(inverse(X_64)) != X_64
| add(inverse(inverse(X_64)),add(X_64,X_65)) = add(X_64,add(X_64,X_65)) ),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),add(X_64,X_65)),add(inverse(inverse(X_64)),add(X_64,X_65))) )],[refute_0_1638,refute_0_1639]) ).
cnf(refute_0_1641,plain,
add(inverse(inverse(X_64)),add(X_64,X_65)) = add(X_64,add(X_64,X_65)),
inference(resolve,[$cnf( $equal(inverse(inverse(X_64)),X_64) )],[refute_0_1627,refute_0_1640]) ).
cnf(refute_0_1642,plain,
add(add(X_64,X_65),inverse(inverse(X_64))) = add(inverse(inverse(X_64)),add(X_64,X_65)),
inference(subst,[],[refute_0_747:[bind(Y,$fot(add(X_64,X_65))),bind(X_55,$fot(inverse(inverse(X_64))))]]) ).
cnf(refute_0_1643,plain,
( add(add(X_64,X_65),inverse(inverse(X_64))) != add(inverse(inverse(X_64)),add(X_64,X_65))
| add(inverse(inverse(X_64)),add(X_64,X_65)) != add(X_64,add(X_64,X_65))
| add(add(X_64,X_65),inverse(inverse(X_64))) = add(X_64,add(X_64,X_65)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_64,X_65),inverse(inverse(X_64))))),bind(Y0,$fot(add(inverse(inverse(X_64)),add(X_64,X_65)))),bind(Z0,$fot(add(X_64,add(X_64,X_65))))]]) ).
cnf(refute_0_1644,plain,
( add(inverse(inverse(X_64)),add(X_64,X_65)) != add(X_64,add(X_64,X_65))
| add(add(X_64,X_65),inverse(inverse(X_64))) = add(X_64,add(X_64,X_65)) ),
inference(resolve,[$cnf( $equal(add(add(X_64,X_65),inverse(inverse(X_64))),add(inverse(inverse(X_64)),add(X_64,X_65))) )],[refute_0_1642,refute_0_1643]) ).
cnf(refute_0_1645,plain,
add(add(X_64,X_65),inverse(inverse(X_64))) = add(X_64,add(X_64,X_65)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),add(X_64,X_65)),add(X_64,add(X_64,X_65))) )],[refute_0_1641,refute_0_1644]) ).
cnf(refute_0_1646,plain,
( add(X_65,X_64) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(add(X_64,X_65),inverse(inverse(X_64))) != add(X_64,add(X_64,X_65))
| add(X_65,X_64) = add(X_64,add(X_64,X_65)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_65,X_64),add(X_64,add(X_64,X_65))) ),[0],$fot(add(add(X_64,X_65),inverse(inverse(X_64))))]]) ).
cnf(refute_0_1647,plain,
( add(X_65,X_64) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(X_65,X_64) = add(X_64,add(X_64,X_65)) ),
inference(resolve,[$cnf( $equal(add(add(X_64,X_65),inverse(inverse(X_64))),add(X_64,add(X_64,X_65))) )],[refute_0_1645,refute_0_1646]) ).
cnf(refute_0_1648,plain,
( add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))) != add(add(X_64,X_65),inverse(inverse(X_64)))
| add(X_65,X_64) = add(X_64,add(X_64,X_65)) ),
inference(resolve,[$cnf( $equal(add(X_65,X_64),add(add(X_64,X_65),inverse(inverse(X_64)))) )],[refute_0_1637,refute_0_1647]) ).
cnf(refute_0_1649,plain,
add(X_65,X_64) = add(X_64,add(X_64,X_65)),
inference(resolve,[$cnf( $equal(add(inverse(inverse(X_64)),multiply(X_65,inverse(X_64))),add(add(X_64,X_65),inverse(inverse(X_64)))) )],[refute_0_1626,refute_0_1648]) ).
cnf(refute_0_1650,plain,
add(X_65,X_97) = add(X_97,add(X_97,X_65)),
inference(subst,[],[refute_0_1649:[bind(X_64,$fot(X_97))]]) ).
cnf(refute_0_1651,plain,
( add(X_65,X_97) != add(X_97,add(X_97,X_65))
| add(X_97,add(X_97,X_65)) = add(X_65,X_97) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_65,X_97))),bind(Y0,$fot(add(X_97,add(X_97,X_65))))]]) ).
cnf(refute_0_1652,plain,
add(X_97,add(X_97,X_65)) = add(X_65,X_97),
inference(resolve,[$cnf( $equal(add(X_65,X_97),add(X_97,add(X_97,X_65))) )],[refute_0_1650,refute_0_1651]) ).
cnf(refute_0_1653,plain,
( add(X_97,add(X_97,X_65)) != add(X_65,X_97)
| multiplicative_identity != add(inverse(add(X_97,X_65)),add(X_97,add(X_97,X_65)))
| multiplicative_identity = add(inverse(add(X_97,X_65)),add(X_65,X_97)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_97,X_65)),add(X_97,add(X_97,X_65)))) ),[1,1],$fot(add(X_65,X_97))]]) ).
cnf(refute_0_1654,plain,
( multiplicative_identity != add(inverse(add(X_97,X_65)),add(X_97,add(X_97,X_65)))
| multiplicative_identity = add(inverse(add(X_97,X_65)),add(X_65,X_97)) ),
inference(resolve,[$cnf( $equal(add(X_97,add(X_97,X_65)),add(X_65,X_97)) )],[refute_0_1652,refute_0_1653]) ).
cnf(refute_0_1655,plain,
multiplicative_identity = add(inverse(add(X_97,X_65)),add(X_65,X_97)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_97,X_65)),add(X_97,add(X_97,X_65)))) )],[refute_0_1621,refute_0_1654]) ).
cnf(refute_0_1656,plain,
add(inverse(add(X_97,X_65)),add(X_65,X_97)) = add(add(X_65,X_97),inverse(add(X_97,X_65))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(add(X_97,X_65)))),bind(X_55,$fot(add(X_65,X_97)))]]) ).
cnf(refute_0_1657,plain,
( add(inverse(add(X_97,X_65)),add(X_65,X_97)) != add(add(X_65,X_97),inverse(add(X_97,X_65)))
| multiplicative_identity != add(inverse(add(X_97,X_65)),add(X_65,X_97))
| multiplicative_identity = add(add(X_65,X_97),inverse(add(X_97,X_65))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_97,X_65)),add(X_65,X_97))) ),[1],$fot(add(add(X_65,X_97),inverse(add(X_97,X_65))))]]) ).
cnf(refute_0_1658,plain,
( multiplicative_identity != add(inverse(add(X_97,X_65)),add(X_65,X_97))
| multiplicative_identity = add(add(X_65,X_97),inverse(add(X_97,X_65))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_97,X_65)),add(X_65,X_97)),add(add(X_65,X_97),inverse(add(X_97,X_65)))) )],[refute_0_1656,refute_0_1657]) ).
cnf(refute_0_1659,plain,
multiplicative_identity = add(add(X_65,X_97),inverse(add(X_97,X_65))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(add(X_97,X_65)),add(X_65,X_97))) )],[refute_0_1655,refute_0_1658]) ).
cnf(refute_0_1660,plain,
multiplicative_identity = add(add(X_99,X_100),inverse(add(X_100,X_99))),
inference(subst,[],[refute_0_1659:[bind(X_65,$fot(X_99)),bind(X_97,$fot(X_100))]]) ).
cnf(refute_0_1661,plain,
( multiplicative_identity != add(add(X_99,X_100),inverse(add(X_100,X_99)))
| add(add(X_99,X_100),inverse(add(X_100,X_99))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_99,X_100),inverse(add(X_100,X_99)))))]]) ).
cnf(refute_0_1662,plain,
add(add(X_99,X_100),inverse(add(X_100,X_99))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_99,X_100),inverse(add(X_100,X_99)))) )],[refute_0_1660,refute_0_1661]) ).
cnf(refute_0_1663,plain,
( multiply(inverse(add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))) != multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))
| add(add(X_99,X_100),inverse(add(X_100,X_99))) != multiplicative_identity
| multiply(inverse(add(X_99,X_100)),multiplicative_identity) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1664,plain,
( multiply(inverse(add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))) != multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))
| multiply(inverse(add(X_99,X_100)),multiplicative_identity) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),inverse(add(X_100,X_99))),multiplicative_identity) )],[refute_0_1662,refute_0_1663]) ).
cnf(refute_0_1665,plain,
multiply(inverse(add(X_99,X_100)),multiplicative_identity) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))) )],[refute_0_1431,refute_0_1664]) ).
cnf(refute_0_1666,plain,
multiply(inverse(add(X_99,X_100)),multiplicative_identity) = inverse(add(X_99,X_100)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(add(X_99,X_100))))]]) ).
cnf(refute_0_1667,plain,
( multiply(inverse(add(X_99,X_100)),multiplicative_identity) != multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))
| multiply(inverse(add(X_99,X_100)),multiplicative_identity) != inverse(add(X_99,X_100))
| inverse(add(X_99,X_100)) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_99,X_100)),multiplicative_identity),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))) ),[0],$fot(inverse(add(X_99,X_100)))]]) ).
cnf(refute_0_1668,plain,
( multiply(inverse(add(X_99,X_100)),multiplicative_identity) != multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))
| inverse(add(X_99,X_100)) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_99,X_100)),multiplicative_identity),inverse(add(X_99,X_100))) )],[refute_0_1666,refute_0_1667]) ).
cnf(refute_0_1669,plain,
inverse(add(X_99,X_100)) = multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_99,X_100)),multiplicative_identity),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))) )],[refute_0_1665,refute_0_1668]) ).
cnf(refute_0_1670,plain,
( inverse(add(X_99,X_100)) != multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))
| multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) = inverse(add(X_99,X_100)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_99,X_100)))),bind(Y0,$fot(multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))))]]) ).
cnf(refute_0_1671,plain,
multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) = inverse(add(X_99,X_100)),
inference(resolve,[$cnf( $equal(inverse(add(X_99,X_100)),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100)))) )],[refute_0_1669,refute_0_1670]) ).
cnf(refute_0_1672,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))))
| multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) != inverse(add(X_99,X_100))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))))) ),[1,1],$fot(inverse(add(X_99,X_100)))]]) ).
cnf(refute_0_1673,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))),inverse(add(X_99,X_100))) )],[refute_0_1671,refute_0_1672]) ).
cnf(refute_0_1674,plain,
multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),multiply(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))))) )],[refute_0_1430,refute_0_1673]) ).
cnf(refute_0_1675,plain,
add(X_12,X_10) = add(X_10,X_12),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_12)),bind(Y,$fot(X_10))]]) ).
cnf(refute_0_1676,plain,
( add(X_12,X_10) != add(X_10,X_12)
| add(X_10,X_12) = add(X_12,X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_12,X_10))),bind(Y0,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_1677,plain,
add(X_10,X_12) = add(X_12,X_10),
inference(resolve,[$cnf( $equal(add(X_12,X_10),add(X_10,X_12)) )],[refute_0_1675,refute_0_1676]) ).
cnf(refute_0_1678,plain,
( add(X_10,X_12) != add(X_12,X_10)
| add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) ),[1,0],$fot(add(X_12,X_10))]]) ).
cnf(refute_0_1679,plain,
( add(multiply(X_10,X_11),X_12) != multiply(add(X_10,X_12),add(X_11,X_12))
| add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_10,X_12),add(X_12,X_10)) )],[refute_0_1677,refute_0_1678]) ).
cnf(refute_0_1680,plain,
add(multiply(X_10,X_11),X_12) = multiply(add(X_12,X_10),add(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),X_12),multiply(add(X_10,X_12),add(X_11,X_12))) )],[refute_0_809,refute_0_1679]) ).
cnf(refute_0_1681,plain,
add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) = multiply(add(add(X_126,X_125),add(X_125,X_126)),add(X_11,add(X_126,X_125))),
inference(subst,[],[refute_0_1680:[bind(X_10,$fot(add(X_125,X_126))),bind(X_12,$fot(add(X_126,X_125)))]]) ).
cnf(refute_0_1682,plain,
add(X_70,add(X_70,X_65)) = add(add(X_70,X_65),add(X_70,add(X_70,X_65))),
inference(subst,[],[refute_0_755:[bind(X_62,$fot(X_70)),bind(X_63,$fot(add(X_70,X_65)))]]) ).
cnf(refute_0_1683,plain,
add(X_65,X_70) = add(X_70,add(X_70,X_65)),
inference(subst,[],[refute_0_1649:[bind(X_64,$fot(X_70))]]) ).
cnf(refute_0_1684,plain,
( add(X_65,X_70) != add(X_70,add(X_70,X_65))
| add(X_70,add(X_70,X_65)) = add(X_65,X_70) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_65,X_70))),bind(Y0,$fot(add(X_70,add(X_70,X_65))))]]) ).
cnf(refute_0_1685,plain,
add(X_70,add(X_70,X_65)) = add(X_65,X_70),
inference(resolve,[$cnf( $equal(add(X_65,X_70),add(X_70,add(X_70,X_65))) )],[refute_0_1683,refute_0_1684]) ).
cnf(refute_0_1686,plain,
( add(X_70,add(X_70,X_65)) != add(X_65,X_70)
| add(X_70,add(X_70,X_65)) != add(add(X_70,X_65),add(X_70,add(X_70,X_65)))
| add(X_70,add(X_70,X_65)) = add(add(X_70,X_65),add(X_65,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(add(X_70,X_65),add(X_70,add(X_70,X_65)))) ),[1,1],$fot(add(X_65,X_70))]]) ).
cnf(refute_0_1687,plain,
( add(X_70,add(X_70,X_65)) != add(add(X_70,X_65),add(X_70,add(X_70,X_65)))
| add(X_70,add(X_70,X_65)) = add(add(X_70,X_65),add(X_65,X_70)) ),
inference(resolve,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(X_65,X_70)) )],[refute_0_1685,refute_0_1686]) ).
cnf(refute_0_1688,plain,
add(X_70,add(X_70,X_65)) = add(add(X_70,X_65),add(X_65,X_70)),
inference(resolve,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(add(X_70,X_65),add(X_70,add(X_70,X_65)))) )],[refute_0_1682,refute_0_1687]) ).
cnf(refute_0_1689,plain,
( add(X_70,add(X_70,X_65)) != add(X_65,X_70)
| add(X_70,add(X_70,X_65)) != add(add(X_70,X_65),add(X_65,X_70))
| add(X_65,X_70) = add(add(X_70,X_65),add(X_65,X_70)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(add(X_70,X_65),add(X_65,X_70))) ),[0],$fot(add(X_65,X_70))]]) ).
cnf(refute_0_1690,plain,
( add(X_70,add(X_70,X_65)) != add(add(X_70,X_65),add(X_65,X_70))
| add(X_65,X_70) = add(add(X_70,X_65),add(X_65,X_70)) ),
inference(resolve,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(X_65,X_70)) )],[refute_0_1685,refute_0_1689]) ).
cnf(refute_0_1691,plain,
add(X_65,X_70) = add(add(X_70,X_65),add(X_65,X_70)),
inference(resolve,[$cnf( $equal(add(X_70,add(X_70,X_65)),add(add(X_70,X_65),add(X_65,X_70))) )],[refute_0_1688,refute_0_1690]) ).
cnf(refute_0_1692,plain,
add(X_125,X_126) = add(add(X_126,X_125),add(X_125,X_126)),
inference(subst,[],[refute_0_1691:[bind(X_65,$fot(X_125)),bind(X_70,$fot(X_126))]]) ).
cnf(refute_0_1693,plain,
( add(X_125,X_126) != add(add(X_126,X_125),add(X_125,X_126))
| add(add(X_126,X_125),add(X_125,X_126)) = add(X_125,X_126) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_125,X_126))),bind(Y0,$fot(add(add(X_126,X_125),add(X_125,X_126))))]]) ).
cnf(refute_0_1694,plain,
add(add(X_126,X_125),add(X_125,X_126)) = add(X_125,X_126),
inference(resolve,[$cnf( $equal(add(X_125,X_126),add(add(X_126,X_125),add(X_125,X_126))) )],[refute_0_1692,refute_0_1693]) ).
cnf(refute_0_1695,plain,
( add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != multiply(add(add(X_126,X_125),add(X_125,X_126)),add(X_11,add(X_126,X_125)))
| add(add(X_126,X_125),add(X_125,X_126)) != add(X_125,X_126)
| add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) = multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)),multiply(add(add(X_126,X_125),add(X_125,X_126)),add(X_11,add(X_126,X_125)))) ),[1,0],$fot(add(X_125,X_126))]]) ).
cnf(refute_0_1696,plain,
( add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != multiply(add(add(X_126,X_125),add(X_125,X_126)),add(X_11,add(X_126,X_125)))
| add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) = multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) ),
inference(resolve,[$cnf( $equal(add(add(X_126,X_125),add(X_125,X_126)),add(X_125,X_126)) )],[refute_0_1694,refute_0_1695]) ).
cnf(refute_0_1697,plain,
add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) = multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))),
inference(resolve,[$cnf( $equal(add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)),multiply(add(add(X_126,X_125),add(X_125,X_126)),add(X_11,add(X_126,X_125)))) )],[refute_0_1681,refute_0_1696]) ).
cnf(refute_0_1698,plain,
add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) = add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(X_11)),bind(X_56,$fot(add(X_126,X_125))),bind(X_57,$fot(add(X_125,X_126)))]]) ).
cnf(refute_0_1699,plain,
( add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))
| add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != add(add(X_126,X_125),multiply(add(X_125,X_126),X_11))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)),multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))) ),[0],$fot(add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)))]]) ).
cnf(refute_0_1700,plain,
( add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)),add(add(X_126,X_125),multiply(add(X_125,X_126),X_11))) )],[refute_0_1698,refute_0_1699]) ).
cnf(refute_0_1701,plain,
add(multiply(X,Y),add(X,X_67)) = multiply(add(X,add(X,X_67)),add(Y,add(X,X_67))),
inference(subst,[],[distributivity1:[bind(Z,$fot(add(X,X_67)))]]) ).
cnf(refute_0_1702,plain,
add(X_67,X) = add(X,add(X,X_67)),
inference(subst,[],[refute_0_1649:[bind(X_64,$fot(X)),bind(X_65,$fot(X_67))]]) ).
cnf(refute_0_1703,plain,
( add(X_67,X) != add(X,add(X,X_67))
| add(X,add(X,X_67)) = add(X_67,X) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_67,X))),bind(Y0,$fot(add(X,add(X,X_67))))]]) ).
cnf(refute_0_1704,plain,
add(X,add(X,X_67)) = add(X_67,X),
inference(resolve,[$cnf( $equal(add(X_67,X),add(X,add(X,X_67))) )],[refute_0_1702,refute_0_1703]) ).
cnf(refute_0_1705,plain,
( add(X,add(X,X_67)) != add(X_67,X)
| add(multiply(X,Y),add(X,X_67)) != multiply(add(X,add(X,X_67)),add(Y,add(X,X_67)))
| add(multiply(X,Y),add(X,X_67)) = multiply(add(X_67,X),add(Y,add(X,X_67))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),add(X,X_67)),multiply(add(X,add(X,X_67)),add(Y,add(X,X_67)))) ),[1,0],$fot(add(X_67,X))]]) ).
cnf(refute_0_1706,plain,
( add(multiply(X,Y),add(X,X_67)) != multiply(add(X,add(X,X_67)),add(Y,add(X,X_67)))
| add(multiply(X,Y),add(X,X_67)) = multiply(add(X_67,X),add(Y,add(X,X_67))) ),
inference(resolve,[$cnf( $equal(add(X,add(X,X_67)),add(X_67,X)) )],[refute_0_1704,refute_0_1705]) ).
cnf(refute_0_1707,plain,
add(multiply(X,Y),add(X,X_67)) = multiply(add(X_67,X),add(Y,add(X,X_67))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(X,X_67)),multiply(add(X,add(X,X_67)),add(Y,add(X,X_67)))) )],[refute_0_1701,refute_0_1706]) ).
cnf(refute_0_1708,plain,
( add(multiply(X,Y),add(X,X_67)) != multiply(add(X_67,X),add(Y,add(X,X_67)))
| multiply(add(X_67,X),add(Y,add(X,X_67))) = add(multiply(X,Y),add(X,X_67)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X,Y),add(X,X_67)))),bind(Y0,$fot(multiply(add(X_67,X),add(Y,add(X,X_67)))))]]) ).
cnf(refute_0_1709,plain,
multiply(add(X_67,X),add(Y,add(X,X_67))) = add(multiply(X,Y),add(X,X_67)),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),add(X,X_67)),multiply(add(X_67,X),add(Y,add(X,X_67)))) )],[refute_0_1707,refute_0_1708]) ).
cnf(refute_0_1710,plain,
multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) = add(multiply(X_126,X_11),add(X_126,X_125)),
inference(subst,[],[refute_0_1709:[bind(X,$fot(X_126)),bind(Y,$fot(X_11)),bind(X_67,$fot(X_125))]]) ).
cnf(refute_0_1711,plain,
( multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))) != add(multiply(X_126,X_11),add(X_126,X_125))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) != multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(multiply(X_126,X_11),add(X_126,X_125)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)),multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))) ),[1],$fot(add(multiply(X_126,X_11),add(X_126,X_125)))]]) ).
cnf(refute_0_1712,plain,
( add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) != multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(multiply(X_126,X_11),add(X_126,X_125)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_125,X_126),add(X_11,add(X_126,X_125))),add(multiply(X_126,X_11),add(X_126,X_125))) )],[refute_0_1710,refute_0_1711]) ).
cnf(refute_0_1713,plain,
( add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)) != multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(multiply(X_126,X_11),add(X_126,X_125)) ),
inference(resolve,[$cnf( $equal(add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)),multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))) )],[refute_0_1700,refute_0_1712]) ).
cnf(refute_0_1714,plain,
add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(multiply(X_126,X_11),add(X_126,X_125)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_125,X_126),X_11),add(X_126,X_125)),multiply(add(X_125,X_126),add(X_11,add(X_126,X_125)))) )],[refute_0_1697,refute_0_1713]) ).
cnf(refute_0_1715,plain,
add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = multiply(add(add(X_126,X_125),add(X_125,X_126)),add(add(X_125,X_126),X_11)),
inference(subst,[],[refute_0_815:[bind(X_10,$fot(add(X_126,X_125))),bind(X_12,$fot(add(X_125,X_126)))]]) ).
cnf(refute_0_1716,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != multiply(add(add(X_126,X_125),add(X_125,X_126)),add(add(X_125,X_126),X_11))
| add(add(X_126,X_125),add(X_125,X_126)) != add(X_125,X_126)
| add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),multiply(add(add(X_126,X_125),add(X_125,X_126)),add(add(X_125,X_126),X_11))) ),[1,0],$fot(add(X_125,X_126))]]) ).
cnf(refute_0_1717,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != multiply(add(add(X_126,X_125),add(X_125,X_126)),add(add(X_125,X_126),X_11))
| add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) ),
inference(resolve,[$cnf( $equal(add(add(X_126,X_125),add(X_125,X_126)),add(X_125,X_126)) )],[refute_0_1694,refute_0_1716]) ).
cnf(refute_0_1718,plain,
add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),multiply(add(add(X_126,X_125),add(X_125,X_126)),add(add(X_125,X_126),X_11))) )],[refute_0_1715,refute_0_1717]) ).
cnf(refute_0_1719,plain,
add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)) = add(multiply(X_125,X_11),add(X_125,X_126)),
inference(subst,[],[refute_0_1714:[bind(X_125,$fot(X_126)),bind(X_126,$fot(X_125))]]) ).
cnf(refute_0_1720,plain,
add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(X_11)),bind(X_56,$fot(add(X_125,X_126))),bind(X_57,$fot(add(X_126,X_125)))]]) ).
cnf(refute_0_1721,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != add(add(X_125,X_126),multiply(add(X_126,X_125),X_11))
| add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)) != add(multiply(X_125,X_11),add(X_125,X_126))
| add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = add(multiply(X_125,X_11),add(X_125,X_126)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)))),bind(Y0,$fot(add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)))),bind(Z0,$fot(add(multiply(X_125,X_11),add(X_125,X_126))))]]) ).
cnf(refute_0_1722,plain,
( add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)) != add(multiply(X_125,X_11),add(X_125,X_126))
| add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = add(multiply(X_125,X_11),add(X_125,X_126)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),add(add(X_125,X_126),multiply(add(X_126,X_125),X_11))) )],[refute_0_1720,refute_0_1721]) ).
cnf(refute_0_1723,plain,
add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) = add(multiply(X_125,X_11),add(X_125,X_126)),
inference(resolve,[$cnf( $equal(add(add(X_125,X_126),multiply(add(X_126,X_125),X_11)),add(multiply(X_125,X_11),add(X_125,X_126))) )],[refute_0_1719,refute_0_1722]) ).
cnf(refute_0_1724,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))
| add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != add(multiply(X_125,X_11),add(X_125,X_126))
| add(multiply(X_125,X_11),add(X_125,X_126)) = multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))) ),[0],$fot(add(multiply(X_125,X_11),add(X_125,X_126)))]]) ).
cnf(refute_0_1725,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))
| add(multiply(X_125,X_11),add(X_125,X_126)) = multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),add(multiply(X_125,X_11),add(X_125,X_126))) )],[refute_0_1723,refute_0_1724]) ).
cnf(refute_0_1726,plain,
multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) = add(X_125,X_126),
inference(subst,[],[refute_0_164:[bind(X_56,$fot(X_11)),bind(X_58,$fot(add(X_125,X_126)))]]) ).
cnf(refute_0_1727,plain,
( multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)) != add(X_125,X_126)
| add(multiply(X_125,X_11),add(X_125,X_126)) != multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))
| add(multiply(X_125,X_11),add(X_125,X_126)) = add(X_125,X_126) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_125,X_11),add(X_125,X_126)),multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))) ),[1],$fot(add(X_125,X_126))]]) ).
cnf(refute_0_1728,plain,
( add(multiply(X_125,X_11),add(X_125,X_126)) != multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))
| add(multiply(X_125,X_11),add(X_125,X_126)) = add(X_125,X_126) ),
inference(resolve,[$cnf( $equal(multiply(add(X_125,X_126),add(add(X_125,X_126),X_11)),add(X_125,X_126)) )],[refute_0_1726,refute_0_1727]) ).
cnf(refute_0_1729,plain,
( add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)) != multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))
| add(multiply(X_125,X_11),add(X_125,X_126)) = add(X_125,X_126) ),
inference(resolve,[$cnf( $equal(add(multiply(X_125,X_11),add(X_125,X_126)),multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))) )],[refute_0_1725,refute_0_1728]) ).
cnf(refute_0_1730,plain,
add(multiply(X_125,X_11),add(X_125,X_126)) = add(X_125,X_126),
inference(resolve,[$cnf( $equal(add(multiply(add(X_126,X_125),X_11),add(X_125,X_126)),multiply(add(X_125,X_126),add(add(X_125,X_126),X_11))) )],[refute_0_1718,refute_0_1729]) ).
cnf(refute_0_1731,plain,
add(multiply(X_126,X_11),add(X_126,X_125)) = add(X_126,X_125),
inference(subst,[],[refute_0_1730:[bind(X_125,$fot(X_126)),bind(X_126,$fot(X_125))]]) ).
cnf(refute_0_1732,plain,
( add(multiply(X_126,X_11),add(X_126,X_125)) != add(X_126,X_125)
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) != add(multiply(X_126,X_11),add(X_126,X_125))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(X_126,X_125) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)),add(multiply(X_126,X_11),add(X_126,X_125))) ),[1],$fot(add(X_126,X_125))]]) ).
cnf(refute_0_1733,plain,
( add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) != add(multiply(X_126,X_11),add(X_126,X_125))
| add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(X_126,X_125) ),
inference(resolve,[$cnf( $equal(add(multiply(X_126,X_11),add(X_126,X_125)),add(X_126,X_125)) )],[refute_0_1731,refute_0_1732]) ).
cnf(refute_0_1734,plain,
add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)) = add(X_126,X_125),
inference(resolve,[$cnf( $equal(add(add(X_126,X_125),multiply(add(X_125,X_126),X_11)),add(multiply(X_126,X_11),add(X_126,X_125))) )],[refute_0_1714,refute_0_1733]) ).
cnf(refute_0_1735,plain,
add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) = add(X_100,X_99),
inference(subst,[],[refute_0_1734:[bind(X_11,$fot(inverse(add(X_100,X_99)))),bind(X_125,$fot(X_99)),bind(X_126,$fot(X_100))]]) ).
cnf(refute_0_1736,plain,
add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_266,multiply(X_267,inverse(Y)))),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(multiply(X_266,multiply(X_267,inverse(Y)))))]]) ).
cnf(refute_0_1737,plain,
add(X,multiply(Y,multiply(X_25,inverse(X)))) = multiply(add(X,Y),add(X,multiply(X_25,inverse(X)))),
inference(subst,[],[distributivity2:[bind(Z,$fot(multiply(X_25,inverse(X))))]]) ).
cnf(refute_0_1738,plain,
add(X,multiply(X_25,inverse(X))) = add(X,X_25),
inference(subst,[],[refute_0_110:[bind(X_21,$fot(X)),bind(X_22,$fot(X_25))]]) ).
cnf(refute_0_1739,plain,
( add(X,multiply(Y,multiply(X_25,inverse(X)))) != multiply(add(X,Y),add(X,multiply(X_25,inverse(X))))
| add(X,multiply(X_25,inverse(X))) != add(X,X_25)
| add(X,multiply(Y,multiply(X_25,inverse(X)))) = multiply(add(X,Y),add(X,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(X_25,inverse(X)))),multiply(add(X,Y),add(X,multiply(X_25,inverse(X))))) ),[1,1],$fot(add(X,X_25))]]) ).
cnf(refute_0_1740,plain,
( add(X,multiply(Y,multiply(X_25,inverse(X)))) != multiply(add(X,Y),add(X,multiply(X_25,inverse(X))))
| add(X,multiply(Y,multiply(X_25,inverse(X)))) = multiply(add(X,Y),add(X,X_25)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_25,inverse(X))),add(X,X_25)) )],[refute_0_1738,refute_0_1739]) ).
cnf(refute_0_1741,plain,
add(X,multiply(Y,multiply(X_25,inverse(X)))) = multiply(add(X,Y),add(X,X_25)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(X_25,inverse(X)))),multiply(add(X,Y),add(X,multiply(X_25,inverse(X))))) )],[refute_0_1737,refute_0_1740]) ).
cnf(refute_0_1742,plain,
multiply(add(X,Y),add(X,X_25)) = add(X,multiply(Y,X_25)),
inference(subst,[],[refute_0_482:[bind(Z,$fot(X_25))]]) ).
cnf(refute_0_1743,plain,
( multiply(add(X,Y),add(X,X_25)) != add(X,multiply(Y,X_25))
| add(X,multiply(Y,multiply(X_25,inverse(X)))) != multiply(add(X,Y),add(X,X_25))
| add(X,multiply(Y,multiply(X_25,inverse(X)))) = add(X,multiply(Y,X_25)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(Y,multiply(X_25,inverse(X)))),multiply(add(X,Y),add(X,X_25))) ),[1],$fot(add(X,multiply(Y,X_25)))]]) ).
cnf(refute_0_1744,plain,
( add(X,multiply(Y,multiply(X_25,inverse(X)))) != multiply(add(X,Y),add(X,X_25))
| add(X,multiply(Y,multiply(X_25,inverse(X)))) = add(X,multiply(Y,X_25)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),add(X,X_25)),add(X,multiply(Y,X_25))) )],[refute_0_1742,refute_0_1743]) ).
cnf(refute_0_1745,plain,
add(X,multiply(Y,multiply(X_25,inverse(X)))) = add(X,multiply(Y,X_25)),
inference(resolve,[$cnf( $equal(add(X,multiply(Y,multiply(X_25,inverse(X)))),multiply(add(X,Y),add(X,X_25))) )],[refute_0_1741,refute_0_1744]) ).
cnf(refute_0_1746,plain,
add(Y,multiply(X_266,multiply(X_267,inverse(Y)))) = add(Y,multiply(X_266,X_267)),
inference(subst,[],[refute_0_1745:[bind(X,$fot(Y)),bind(Y,$fot(X_266)),bind(X_25,$fot(X_267))]]) ).
cnf(refute_0_1747,plain,
( add(Y,multiply(X_266,multiply(X_267,inverse(Y)))) != add(Y,multiply(X_266,X_267))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(X_266,multiply(X_267,inverse(Y))))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_266,X_267)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(X_266,multiply(X_267,inverse(Y))))) ),[1],$fot(add(Y,multiply(X_266,X_267)))]]) ).
cnf(refute_0_1748,plain,
( add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(X_266,multiply(X_267,inverse(Y))))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_266,X_267)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_266,multiply(X_267,inverse(Y)))),add(Y,multiply(X_266,X_267))) )],[refute_0_1746,refute_0_1747]) ).
cnf(refute_0_1749,plain,
add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_266,X_267)),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(X_266,multiply(X_267,inverse(Y))))) )],[refute_0_1736,refute_0_1748]) ).
cnf(refute_0_1750,plain,
add(X,multiply(multiply(X_25,inverse(X)),Z)) = multiply(add(X,multiply(X_25,inverse(X))),add(X,Z)),
inference(subst,[],[distributivity2:[bind(Y,$fot(multiply(X_25,inverse(X))))]]) ).
cnf(refute_0_1751,plain,
( add(X,multiply(X_25,inverse(X))) != add(X,X_25)
| add(X,multiply(multiply(X_25,inverse(X)),Z)) != multiply(add(X,multiply(X_25,inverse(X))),add(X,Z))
| add(X,multiply(multiply(X_25,inverse(X)),Z)) = multiply(add(X,X_25),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_25,inverse(X)),Z)),multiply(add(X,multiply(X_25,inverse(X))),add(X,Z))) ),[1,0],$fot(add(X,X_25))]]) ).
cnf(refute_0_1752,plain,
( add(X,multiply(multiply(X_25,inverse(X)),Z)) != multiply(add(X,multiply(X_25,inverse(X))),add(X,Z))
| add(X,multiply(multiply(X_25,inverse(X)),Z)) = multiply(add(X,X_25),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(X_25,inverse(X))),add(X,X_25)) )],[refute_0_1738,refute_0_1751]) ).
cnf(refute_0_1753,plain,
add(X,multiply(multiply(X_25,inverse(X)),Z)) = multiply(add(X,X_25),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_25,inverse(X)),Z)),multiply(add(X,multiply(X_25,inverse(X))),add(X,Z))) )],[refute_0_1750,refute_0_1752]) ).
cnf(refute_0_1754,plain,
multiply(add(X,X_25),add(X,Z)) = add(X,multiply(X_25,Z)),
inference(subst,[],[refute_0_482:[bind(Y,$fot(X_25))]]) ).
cnf(refute_0_1755,plain,
( multiply(add(X,X_25),add(X,Z)) != add(X,multiply(X_25,Z))
| add(X,multiply(multiply(X_25,inverse(X)),Z)) != multiply(add(X,X_25),add(X,Z))
| add(X,multiply(multiply(X_25,inverse(X)),Z)) = add(X,multiply(X_25,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(X_25,inverse(X)),Z)),multiply(add(X,X_25),add(X,Z))) ),[1],$fot(add(X,multiply(X_25,Z)))]]) ).
cnf(refute_0_1756,plain,
( add(X,multiply(multiply(X_25,inverse(X)),Z)) != multiply(add(X,X_25),add(X,Z))
| add(X,multiply(multiply(X_25,inverse(X)),Z)) = add(X,multiply(X_25,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_25),add(X,Z)),add(X,multiply(X_25,Z))) )],[refute_0_1754,refute_0_1755]) ).
cnf(refute_0_1757,plain,
add(X,multiply(multiply(X_25,inverse(X)),Z)) = add(X,multiply(X_25,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_25,inverse(X)),Z)),multiply(add(X,X_25),add(X,Z))) )],[refute_0_1753,refute_0_1756]) ).
cnf(refute_0_1758,plain,
add(Y,multiply(multiply(X_267,inverse(Y)),X_266)) = add(Y,multiply(X_267,X_266)),
inference(subst,[],[refute_0_1757:[bind(X,$fot(Y)),bind(Z,$fot(X_266)),bind(X_25,$fot(X_267))]]) ).
cnf(refute_0_1759,plain,
add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,add(X_64,multiply(X_266,multiply(X_267,inverse(X_64))))),
inference(subst,[],[refute_0_1649:[bind(X_65,$fot(multiply(X_266,multiply(X_267,inverse(X_64)))))]]) ).
cnf(refute_0_1760,plain,
add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))) = add(X_64,multiply(X_266,X_267)),
inference(subst,[],[refute_0_1745:[bind(X,$fot(X_64)),bind(Y,$fot(X_266)),bind(X_25,$fot(X_267))]]) ).
cnf(refute_0_1761,plain,
( add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))) != add(X_64,multiply(X_266,X_267))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,add(X_64,multiply(X_266,X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))))) ),[1,1],$fot(add(X_64,multiply(X_266,X_267)))]]) ).
cnf(refute_0_1762,plain,
( add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,add(X_64,multiply(X_266,X_267))) ),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))),add(X_64,multiply(X_266,X_267))) )],[refute_0_1760,refute_0_1761]) ).
cnf(refute_0_1763,plain,
add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,add(X_64,multiply(X_266,X_267))),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,add(X_64,multiply(X_266,multiply(X_267,inverse(X_64)))))) )],[refute_0_1759,refute_0_1762]) ).
cnf(refute_0_1764,plain,
add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)) = add(X_64,multiply(X_267,X_266)),
inference(subst,[],[refute_0_1757:[bind(X,$fot(X_64)),bind(Z,$fot(X_266)),bind(X_25,$fot(X_267))]]) ).
cnf(refute_0_1765,plain,
add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263))),
inference(subst,[],[refute_0_1649:[bind(X_65,$fot(multiply(multiply(X_264,inverse(X_64)),X_263)))]]) ).
cnf(refute_0_1766,plain,
add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)) = add(X_64,multiply(X_264,X_263)),
inference(subst,[],[refute_0_1757:[bind(X,$fot(X_64)),bind(Z,$fot(X_263)),bind(X_25,$fot(X_264))]]) ).
cnf(refute_0_1767,plain,
( add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)) != add(X_64,multiply(X_264,X_263))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,add(X_64,multiply(X_264,X_263))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)))) ),[1,1],$fot(add(X_64,multiply(X_264,X_263)))]]) ).
cnf(refute_0_1768,plain,
( add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,add(X_64,multiply(X_264,X_263))) ),
inference(resolve,[$cnf( $equal(add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)),add(X_64,multiply(X_264,X_263))) )],[refute_0_1766,refute_0_1767]) ).
cnf(refute_0_1769,plain,
add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,add(X_64,multiply(X_264,X_263))),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,add(X_64,multiply(multiply(X_264,inverse(X_64)),X_263)))) )],[refute_0_1765,refute_0_1768]) ).
cnf(refute_0_1770,plain,
add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))) = add(X_64,multiply(X_263,X_264)),
inference(subst,[],[refute_0_1745:[bind(X,$fot(X_64)),bind(Y,$fot(X_263)),bind(X_25,$fot(X_264))]]) ).
cnf(refute_0_1771,plain,
add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),
inference(subst,[],[refute_0_1134:[bind(X_12,$fot(multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))))]]) ).
cnf(refute_0_1772,plain,
add(multiply(X_10,add(X_127,inverse(X_12))),X_12) = multiply(add(X_10,X_12),add(X_12,add(X_127,inverse(X_12)))),
inference(subst,[],[refute_0_815:[bind(X_11,$fot(add(X_127,inverse(X_12))))]]) ).
cnf(refute_0_1773,plain,
add(X_29,multiply(inverse(X_29),add(X_10,inverse(X_29)))) = add(X_29,add(X_10,inverse(X_29))),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X_29)),bind(X_23,$fot(add(X_10,inverse(X_29))))]]) ).
cnf(refute_0_1774,plain,
add(multiply(X_10,additive_identity),inverse(X_29)) = multiply(inverse(X_29),add(X_10,inverse(X_29))),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(inverse(X_29)))]]) ).
cnf(refute_0_1775,plain,
( add(multiply(X_10,additive_identity),inverse(X_29)) != multiply(inverse(X_29),add(X_10,inverse(X_29)))
| multiply(inverse(X_29),add(X_10,inverse(X_29))) = add(multiply(X_10,additive_identity),inverse(X_29)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,additive_identity),inverse(X_29)))),bind(Y0,$fot(multiply(inverse(X_29),add(X_10,inverse(X_29)))))]]) ).
cnf(refute_0_1776,plain,
multiply(inverse(X_29),add(X_10,inverse(X_29))) = add(multiply(X_10,additive_identity),inverse(X_29)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(X_29)),multiply(inverse(X_29),add(X_10,inverse(X_29)))) )],[refute_0_1774,refute_0_1775]) ).
cnf(refute_0_1777,plain,
( multiply(inverse(X_29),add(X_10,inverse(X_29))) != add(multiply(X_10,additive_identity),inverse(X_29))
| add(X_29,multiply(inverse(X_29),add(X_10,inverse(X_29)))) != add(X_29,add(X_10,inverse(X_29)))
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,add(X_10,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_29,multiply(inverse(X_29),add(X_10,inverse(X_29)))),add(X_29,add(X_10,inverse(X_29)))) ),[0,1],$fot(add(multiply(X_10,additive_identity),inverse(X_29)))]]) ).
cnf(refute_0_1778,plain,
( add(X_29,multiply(inverse(X_29),add(X_10,inverse(X_29)))) != add(X_29,add(X_10,inverse(X_29)))
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,add(X_10,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_29),add(X_10,inverse(X_29))),add(multiply(X_10,additive_identity),inverse(X_29))) )],[refute_0_1776,refute_0_1777]) ).
cnf(refute_0_1779,plain,
add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,add(X_10,inverse(X_29))),
inference(resolve,[$cnf( $equal(add(X_29,multiply(inverse(X_29),add(X_10,inverse(X_29)))),add(X_29,add(X_10,inverse(X_29)))) )],[refute_0_1773,refute_0_1778]) ).
cnf(refute_0_1780,plain,
add(X_29,inverse(X_29)) = multiplicative_identity,
inference(subst,[],[additive_inverse1:[bind(X,$fot(X_29))]]) ).
cnf(refute_0_1781,plain,
add(multiply(X_10,additive_identity),multiply(X_33,X_33)) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))),
inference(subst,[],[refute_0_87:[bind(X_12,$fot(multiply(X_33,X_33)))]]) ).
cnf(refute_0_1782,plain,
add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) = add(multiply(X_10,additive_identity),multiply(X_33,X_33)),
inference(subst,[],[refute_0_413:[bind(Y,$fot(multiply(X_10,additive_identity))),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_1783,plain,
( add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) != add(multiply(X_10,additive_identity),multiply(X_33,X_33))
| add(multiply(X_10,additive_identity),multiply(X_33,X_33)) = add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33))),bind(Y0,$fot(add(multiply(X_10,additive_identity),multiply(X_33,X_33))))]]) ).
cnf(refute_0_1784,plain,
add(multiply(X_10,additive_identity),multiply(X_33,X_33)) = add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33),add(multiply(X_10,additive_identity),multiply(X_33,X_33))) )],[refute_0_1782,refute_0_1783]) ).
cnf(refute_0_1785,plain,
( add(multiply(X_10,additive_identity),multiply(X_33,X_33)) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(X_10,additive_identity),multiply(X_33,X_33)) != add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33)
| add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_33,X_33)),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) ),[0],$fot(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33))]]) ).
cnf(refute_0_1786,plain,
( add(multiply(X_10,additive_identity),multiply(X_33,X_33)) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_33,X_33)),add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33)) )],[refute_0_1784,refute_0_1785]) ).
cnf(refute_0_1787,plain,
add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),multiply(X_33,X_33)),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) )],[refute_0_1781,refute_0_1786]) ).
cnf(refute_0_1788,plain,
add(multiply(additive_identity,additive_identity),add(Y,Z)) = multiply(add(Y,Z),add(Y,Z)),
inference(subst,[],[refute_0_92:[bind(X_14,$fot(add(Y,Z)))]]) ).
cnf(refute_0_1789,plain,
( add(multiply(additive_identity,additive_identity),add(Y,Z)) != multiply(add(Y,Z),add(Y,Z))
| multiply(add(Y,Z),add(Y,Z)) = add(multiply(additive_identity,additive_identity),add(Y,Z)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(Y,Z)))),bind(Y0,$fot(multiply(add(Y,Z),add(Y,Z))))]]) ).
cnf(refute_0_1790,plain,
multiply(add(Y,Z),add(Y,Z)) = add(multiply(additive_identity,additive_identity),add(Y,Z)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(Y,Z)),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_1788,refute_0_1789]) ).
cnf(refute_0_1791,plain,
( multiply(add(Y,Z),add(Y,Z)) != add(multiply(additive_identity,additive_identity),add(Y,Z))
| add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(multiply(additive_identity,additive_identity),add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) ),[1],$fot(add(multiply(additive_identity,additive_identity),add(Y,Z)))]]) ).
cnf(refute_0_1792,plain,
( add(multiply(Y,Y),Z) != multiply(add(Y,Z),add(Y,Z))
| add(multiply(Y,Y),Z) = add(multiply(additive_identity,additive_identity),add(Y,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(Y,Z),add(Y,Z)),add(multiply(additive_identity,additive_identity),add(Y,Z))) )],[refute_0_1790,refute_0_1791]) ).
cnf(refute_0_1793,plain,
add(multiply(Y,Y),Z) = add(multiply(additive_identity,additive_identity),add(Y,Z)),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),Z),multiply(add(Y,Z),add(Y,Z))) )],[refute_0_407,refute_0_1792]) ).
cnf(refute_0_1794,plain,
add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) = add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),
inference(subst,[],[refute_0_1793:[bind(Y,$fot(multiply(X_10,additive_identity))),bind(Z,$fot(X_33))]]) ).
cnf(refute_0_1795,plain,
( add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) != add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) ),[0],$fot(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)))]]) ).
cnf(refute_0_1796,plain,
( add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33),add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33))) )],[refute_0_1794,refute_0_1795]) ).
cnf(refute_0_1797,plain,
multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) = add(multiply(X_33,X_33),multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_197:[bind(X,$fot(multiply(X_33,X_33))),bind(X_18,$fot(X_10))]]) ).
cnf(refute_0_1798,plain,
( multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))) != add(multiply(X_33,X_33),multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_33,X_33),multiply(additive_identity,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) ),[1],$fot(add(multiply(X_33,X_33),multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_1799,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_33,X_33),multiply(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33))),add(multiply(X_33,X_33),multiply(additive_identity,X_10))) )],[refute_0_1797,refute_0_1798]) ).
cnf(refute_0_1800,plain,
( add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33) != multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_33,X_33),multiply(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) )],[refute_0_1796,refute_0_1799]) ).
cnf(refute_0_1801,plain,
add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_33,X_33),multiply(additive_identity,X_10)),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_10,additive_identity),multiply(X_10,additive_identity)),X_33),multiply(multiply(X_33,X_33),add(X_10,multiply(X_33,X_33)))) )],[refute_0_1787,refute_0_1800]) ).
cnf(refute_0_1802,plain,
add(multiply(Y,Y),multiply(X_45,additive_identity)) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))),
inference(subst,[],[refute_0_240:[bind(X,$fot(multiply(Y,Y))),bind(X_13,$fot(X_45))]]) ).
cnf(refute_0_1803,plain,
add(multiply(Y,Y),multiply(X_45,additive_identity)) = add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),
inference(subst,[],[refute_0_413:[bind(Z,$fot(multiply(X_45,additive_identity)))]]) ).
cnf(refute_0_1804,plain,
( add(multiply(Y,Y),multiply(X_45,additive_identity)) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(multiply(Y,Y),multiply(X_45,additive_identity)) != add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)))
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(Y,Y),multiply(X_45,additive_identity)),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) ),[0],$fot(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))))]]) ).
cnf(refute_0_1805,plain,
( add(multiply(Y,Y),multiply(X_45,additive_identity)) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_45,additive_identity)),add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)))) )],[refute_0_1803,refute_0_1804]) ).
cnf(refute_0_1806,plain,
add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))),
inference(resolve,[$cnf( $equal(add(multiply(Y,Y),multiply(X_45,additive_identity)),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) )],[refute_0_1802,refute_0_1805]) ).
cnf(refute_0_1807,plain,
multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)) = multiply(additive_identity,X_45),
inference(subst,[],[refute_0_306:[bind(X_10,$fot(X_45))]]) ).
cnf(refute_0_1808,plain,
add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),
introduced(tautology,[refl,[$fot(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))))]]) ).
cnf(refute_0_1809,plain,
( multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)) != multiply(additive_identity,X_45)
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) != add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)))
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = add(Y,multiply(additive_identity,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)))) ),[1,1],$fot(multiply(additive_identity,X_45))]]) ).
cnf(refute_0_1810,plain,
( multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)) != multiply(additive_identity,X_45)
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = add(Y,multiply(additive_identity,X_45)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)))) )],[refute_0_1808,refute_0_1809]) ).
cnf(refute_0_1811,plain,
add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) = add(Y,multiply(additive_identity,X_45)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity)),multiply(additive_identity,X_45)) )],[refute_0_1807,refute_0_1810]) ).
cnf(refute_0_1812,plain,
( add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) != add(Y,multiply(additive_identity,X_45))
| add(Y,multiply(additive_identity,X_45)) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) ),[0],$fot(add(Y,multiply(additive_identity,X_45)))]]) ).
cnf(refute_0_1813,plain,
( add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(additive_identity,X_45)) = multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),add(Y,multiply(additive_identity,X_45))) )],[refute_0_1811,refute_0_1812]) ).
cnf(refute_0_1814,plain,
add(X_44,multiply(X_45,additive_identity)) = multiply(X_44,add(X_45,X_44)),
inference(subst,[],[refute_0_240:[bind(X,$fot(X_44)),bind(X_13,$fot(X_45))]]) ).
cnf(refute_0_1815,plain,
multiply(additive_identity,X_45) = multiply(X_45,additive_identity),
inference(subst,[],[commutativity_of_multiply:[bind(X,$fot(additive_identity)),bind(Y,$fot(X_45))]]) ).
cnf(refute_0_1816,plain,
( multiply(additive_identity,X_45) != multiply(X_45,additive_identity)
| multiply(X_45,additive_identity) = multiply(additive_identity,X_45) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(additive_identity,X_45))),bind(Y0,$fot(multiply(X_45,additive_identity)))]]) ).
cnf(refute_0_1817,plain,
multiply(X_45,additive_identity) = multiply(additive_identity,X_45),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_45),multiply(X_45,additive_identity)) )],[refute_0_1815,refute_0_1816]) ).
cnf(refute_0_1818,plain,
( multiply(X_45,additive_identity) != multiply(additive_identity,X_45)
| add(X_44,multiply(X_45,additive_identity)) != multiply(X_44,add(X_45,X_44))
| add(X_44,multiply(additive_identity,X_45)) = multiply(X_44,add(X_45,X_44)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_44,multiply(X_45,additive_identity)),multiply(X_44,add(X_45,X_44))) ),[0,1],$fot(multiply(additive_identity,X_45))]]) ).
cnf(refute_0_1819,plain,
( add(X_44,multiply(X_45,additive_identity)) != multiply(X_44,add(X_45,X_44))
| add(X_44,multiply(additive_identity,X_45)) = multiply(X_44,add(X_45,X_44)) ),
inference(resolve,[$cnf( $equal(multiply(X_45,additive_identity),multiply(additive_identity,X_45)) )],[refute_0_1817,refute_0_1818]) ).
cnf(refute_0_1820,plain,
add(X_44,multiply(additive_identity,X_45)) = multiply(X_44,add(X_45,X_44)),
inference(resolve,[$cnf( $equal(add(X_44,multiply(X_45,additive_identity)),multiply(X_44,add(X_45,X_44))) )],[refute_0_1814,refute_0_1819]) ).
cnf(refute_0_1821,plain,
( add(X_44,multiply(additive_identity,X_45)) != multiply(X_44,add(X_45,X_44))
| multiply(X_44,add(X_45,X_44)) = add(X_44,multiply(additive_identity,X_45)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_44,multiply(additive_identity,X_45)))),bind(Y0,$fot(multiply(X_44,add(X_45,X_44))))]]) ).
cnf(refute_0_1822,plain,
multiply(X_44,add(X_45,X_44)) = add(X_44,multiply(additive_identity,X_45)),
inference(resolve,[$cnf( $equal(add(X_44,multiply(additive_identity,X_45)),multiply(X_44,add(X_45,X_44))) )],[refute_0_1820,refute_0_1821]) ).
cnf(refute_0_1823,plain,
multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) = add(multiply(Y,Y),multiply(additive_identity,X_45)),
inference(subst,[],[refute_0_1822:[bind(X_44,$fot(multiply(Y,Y)))]]) ).
cnf(refute_0_1824,plain,
( multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))) != add(multiply(Y,Y),multiply(additive_identity,X_45))
| add(Y,multiply(additive_identity,X_45)) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(additive_identity,X_45)) = add(multiply(Y,Y),multiply(additive_identity,X_45)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(additive_identity,X_45)),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) ),[1],$fot(add(multiply(Y,Y),multiply(additive_identity,X_45)))]]) ).
cnf(refute_0_1825,plain,
( add(Y,multiply(additive_identity,X_45)) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(additive_identity,X_45)) = add(multiply(Y,Y),multiply(additive_identity,X_45)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(Y,Y),add(X_45,multiply(Y,Y))),add(multiply(Y,Y),multiply(additive_identity,X_45))) )],[refute_0_1823,refute_0_1824]) ).
cnf(refute_0_1826,plain,
( add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))) != multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))
| add(Y,multiply(additive_identity,X_45)) = add(multiply(Y,Y),multiply(additive_identity,X_45)) ),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_45)),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) )],[refute_0_1813,refute_0_1825]) ).
cnf(refute_0_1827,plain,
add(Y,multiply(additive_identity,X_45)) = add(multiply(Y,Y),multiply(additive_identity,X_45)),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_45,additive_identity),multiply(X_45,additive_identity))),multiply(multiply(Y,Y),add(X_45,multiply(Y,Y)))) )],[refute_0_1806,refute_0_1826]) ).
cnf(refute_0_1828,plain,
( add(Y,multiply(additive_identity,X_45)) != add(multiply(Y,Y),multiply(additive_identity,X_45))
| add(multiply(Y,Y),multiply(additive_identity,X_45)) = add(Y,multiply(additive_identity,X_45)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,multiply(additive_identity,X_45)))),bind(Y0,$fot(add(multiply(Y,Y),multiply(additive_identity,X_45))))]]) ).
cnf(refute_0_1829,plain,
add(multiply(Y,Y),multiply(additive_identity,X_45)) = add(Y,multiply(additive_identity,X_45)),
inference(resolve,[$cnf( $equal(add(Y,multiply(additive_identity,X_45)),add(multiply(Y,Y),multiply(additive_identity,X_45))) )],[refute_0_1827,refute_0_1828]) ).
cnf(refute_0_1830,plain,
add(multiply(X_33,X_33),multiply(additive_identity,X_10)) = add(X_33,multiply(additive_identity,X_10)),
inference(subst,[],[refute_0_1829:[bind(Y,$fot(X_33)),bind(X_45,$fot(X_10))]]) ).
cnf(refute_0_1831,plain,
( add(multiply(X_33,X_33),multiply(additive_identity,X_10)) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(multiply(X_33,X_33),multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(X_33,multiply(additive_identity,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(multiply(X_33,X_33),multiply(additive_identity,X_10))) ),[1],$fot(add(X_33,multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_1832,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(multiply(X_33,X_33),multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(X_33,multiply(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_33,X_33),multiply(additive_identity,X_10)),add(X_33,multiply(additive_identity,X_10))) )],[refute_0_1830,refute_0_1831]) ).
cnf(refute_0_1833,plain,
add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(X_33,multiply(additive_identity,X_10)),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(multiply(X_33,X_33),multiply(additive_identity,X_10))) )],[refute_0_1801,refute_0_1832]) ).
cnf(refute_0_1834,plain,
add(additive_identity,add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_10,additive_identity),X_33),
inference(subst,[],[additive_id2:[bind(X,$fot(add(multiply(X_10,additive_identity),X_33)))]]) ).
cnf(refute_0_1835,plain,
add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),
introduced(tautology,[refl,[$fot(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)))]]) ).
cnf(refute_0_1836,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(additive_identity,add(multiply(X_10,additive_identity),X_33)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33))) ),[1,0],$fot(additive_identity)]]) ).
cnf(refute_0_1837,plain,
( multiply(additive_identity,additive_identity) != additive_identity
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(additive_identity,add(multiply(X_10,additive_identity),X_33)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33))) )],[refute_0_1835,refute_0_1836]) ).
cnf(refute_0_1838,plain,
add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(additive_identity,add(multiply(X_10,additive_identity),X_33)),
inference(resolve,[$cnf( $equal(multiply(additive_identity,additive_identity),additive_identity) )],[refute_0_607,refute_0_1837]) ).
cnf(refute_0_1839,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(additive_identity,add(multiply(X_10,additive_identity),X_33))
| add(additive_identity,add(multiply(X_10,additive_identity),X_33)) != add(multiply(X_10,additive_identity),X_33)
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_10,additive_identity),X_33) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)))),bind(Y0,$fot(add(additive_identity,add(multiply(X_10,additive_identity),X_33)))),bind(Z0,$fot(add(multiply(X_10,additive_identity),X_33)))]]) ).
cnf(refute_0_1840,plain,
( add(additive_identity,add(multiply(X_10,additive_identity),X_33)) != add(multiply(X_10,additive_identity),X_33)
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_10,additive_identity),X_33) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(additive_identity,add(multiply(X_10,additive_identity),X_33))) )],[refute_0_1838,refute_0_1839]) ).
cnf(refute_0_1841,plain,
add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) = add(multiply(X_10,additive_identity),X_33),
inference(resolve,[$cnf( $equal(add(additive_identity,add(multiply(X_10,additive_identity),X_33)),add(multiply(X_10,additive_identity),X_33)) )],[refute_0_1834,refute_0_1840]) ).
cnf(refute_0_1842,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(multiply(X_10,additive_identity),X_33)
| add(multiply(X_10,additive_identity),X_33) = add(X_33,multiply(additive_identity,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(X_33,multiply(additive_identity,X_10))) ),[0],$fot(add(multiply(X_10,additive_identity),X_33))]]) ).
cnf(refute_0_1843,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(X_10,additive_identity),X_33) = add(X_33,multiply(additive_identity,X_10)) ),
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(multiply(X_10,additive_identity),X_33)) )],[refute_0_1841,refute_0_1842]) ).
cnf(refute_0_1844,plain,
add(X_33,additive_identity) = X_33,
inference(subst,[],[additive_id1:[bind(X,$fot(X_33))]]) ).
cnf(refute_0_1845,plain,
add(X_33,multiply(additive_identity,X_10)) = add(X_33,multiply(additive_identity,X_10)),
introduced(tautology,[refl,[$fot(add(X_33,multiply(additive_identity,X_10)))]]) ).
cnf(refute_0_1846,plain,
( multiply(additive_identity,X_10) != additive_identity
| add(X_33,multiply(additive_identity,X_10)) != add(X_33,multiply(additive_identity,X_10))
| add(X_33,multiply(additive_identity,X_10)) = add(X_33,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_33,multiply(additive_identity,X_10)),add(X_33,multiply(additive_identity,X_10))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1847,plain,
( multiply(additive_identity,X_10) != additive_identity
| add(X_33,multiply(additive_identity,X_10)) = add(X_33,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_33,multiply(additive_identity,X_10)),add(X_33,multiply(additive_identity,X_10))) )],[refute_0_1845,refute_0_1846]) ).
cnf(refute_0_1848,plain,
add(X_33,multiply(additive_identity,X_10)) = add(X_33,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_10),additive_identity) )],[refute_0_849,refute_0_1847]) ).
cnf(refute_0_1849,plain,
( add(X_33,multiply(additive_identity,X_10)) != add(X_33,additive_identity)
| add(X_33,additive_identity) != X_33
| add(X_33,multiply(additive_identity,X_10)) = X_33 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_33,multiply(additive_identity,X_10)))),bind(Y0,$fot(add(X_33,additive_identity))),bind(Z0,$fot(X_33))]]) ).
cnf(refute_0_1850,plain,
( add(X_33,additive_identity) != X_33
| add(X_33,multiply(additive_identity,X_10)) = X_33 ),
inference(resolve,[$cnf( $equal(add(X_33,multiply(additive_identity,X_10)),add(X_33,additive_identity)) )],[refute_0_1848,refute_0_1849]) ).
cnf(refute_0_1851,plain,
add(X_33,multiply(additive_identity,X_10)) = X_33,
inference(resolve,[$cnf( $equal(add(X_33,additive_identity),X_33) )],[refute_0_1844,refute_0_1850]) ).
cnf(refute_0_1852,plain,
( add(X_33,multiply(additive_identity,X_10)) != X_33
| add(multiply(X_10,additive_identity),X_33) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(X_10,additive_identity),X_33) = X_33 ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,additive_identity),X_33),add(X_33,multiply(additive_identity,X_10))) ),[1],$fot(X_33)]]) ).
cnf(refute_0_1853,plain,
( add(multiply(X_10,additive_identity),X_33) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(X_10,additive_identity),X_33) = X_33 ),
inference(resolve,[$cnf( $equal(add(X_33,multiply(additive_identity,X_10)),X_33) )],[refute_0_1851,refute_0_1852]) ).
cnf(refute_0_1854,plain,
( add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)) != add(X_33,multiply(additive_identity,X_10))
| add(multiply(X_10,additive_identity),X_33) = X_33 ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),X_33),add(X_33,multiply(additive_identity,X_10))) )],[refute_0_1843,refute_0_1853]) ).
cnf(refute_0_1855,plain,
add(multiply(X_10,additive_identity),X_33) = X_33,
inference(resolve,[$cnf( $equal(add(multiply(additive_identity,additive_identity),add(multiply(X_10,additive_identity),X_33)),add(X_33,multiply(additive_identity,X_10))) )],[refute_0_1833,refute_0_1854]) ).
cnf(refute_0_1856,plain,
add(multiply(X_10,additive_identity),inverse(X_29)) = inverse(X_29),
inference(subst,[],[refute_0_1855:[bind(X_33,$fot(inverse(X_29)))]]) ).
cnf(refute_0_1857,plain,
add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),
introduced(tautology,[refl,[$fot(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))))]]) ).
cnf(refute_0_1858,plain,
( add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) != add(X_29,add(multiply(X_10,additive_identity),inverse(X_29)))
| add(multiply(X_10,additive_identity),inverse(X_29)) != inverse(X_29)
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,inverse(X_29)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),add(X_29,add(multiply(X_10,additive_identity),inverse(X_29)))) ),[1,1],$fot(inverse(X_29))]]) ).
cnf(refute_0_1859,plain,
( add(multiply(X_10,additive_identity),inverse(X_29)) != inverse(X_29)
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,inverse(X_29)) ),
inference(resolve,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),add(X_29,add(multiply(X_10,additive_identity),inverse(X_29)))) )],[refute_0_1857,refute_0_1858]) ).
cnf(refute_0_1860,plain,
add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = add(X_29,inverse(X_29)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,additive_identity),inverse(X_29)),inverse(X_29)) )],[refute_0_1856,refute_0_1859]) ).
cnf(refute_0_1861,plain,
( add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) != add(X_29,inverse(X_29))
| add(X_29,inverse(X_29)) != multiplicative_identity
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = multiplicative_identity ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))))),bind(Y0,$fot(add(X_29,inverse(X_29)))),bind(Z0,$fot(multiplicative_identity))]]) ).
cnf(refute_0_1862,plain,
( add(X_29,inverse(X_29)) != multiplicative_identity
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = multiplicative_identity ),
inference(resolve,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),add(X_29,inverse(X_29))) )],[refute_0_1860,refute_0_1861]) ).
cnf(refute_0_1863,plain,
add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(add(X_29,inverse(X_29)),multiplicative_identity) )],[refute_0_1780,refute_0_1862]) ).
cnf(refute_0_1864,plain,
( add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) != add(X_29,add(X_10,inverse(X_29)))
| add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) != multiplicative_identity
| multiplicative_identity = add(X_29,add(X_10,inverse(X_29))) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),add(X_29,add(X_10,inverse(X_29)))) ),[0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1865,plain,
( add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))) != add(X_29,add(X_10,inverse(X_29)))
| multiplicative_identity = add(X_29,add(X_10,inverse(X_29))) ),
inference(resolve,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),multiplicative_identity) )],[refute_0_1863,refute_0_1864]) ).
cnf(refute_0_1866,plain,
multiplicative_identity = add(X_29,add(X_10,inverse(X_29))),
inference(resolve,[$cnf( $equal(add(X_29,add(multiply(X_10,additive_identity),inverse(X_29))),add(X_29,add(X_10,inverse(X_29)))) )],[refute_0_1779,refute_0_1865]) ).
cnf(refute_0_1867,plain,
multiplicative_identity = add(X_12,add(X_127,inverse(X_12))),
inference(subst,[],[refute_0_1866:[bind(X_10,$fot(X_127)),bind(X_29,$fot(X_12))]]) ).
cnf(refute_0_1868,plain,
( multiplicative_identity != add(X_12,add(X_127,inverse(X_12)))
| add(X_12,add(X_127,inverse(X_12))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_12,add(X_127,inverse(X_12)))))]]) ).
cnf(refute_0_1869,plain,
add(X_12,add(X_127,inverse(X_12))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_12,add(X_127,inverse(X_12)))) )],[refute_0_1867,refute_0_1868]) ).
cnf(refute_0_1870,plain,
( add(X_12,add(X_127,inverse(X_12))) != multiplicative_identity
| add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != multiply(add(X_10,X_12),add(X_12,add(X_127,inverse(X_12))))
| add(multiply(X_10,add(X_127,inverse(X_12))),X_12) = multiply(add(X_10,X_12),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,add(X_127,inverse(X_12))),X_12),multiply(add(X_10,X_12),add(X_12,add(X_127,inverse(X_12))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1871,plain,
( add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != multiply(add(X_10,X_12),add(X_12,add(X_127,inverse(X_12))))
| add(multiply(X_10,add(X_127,inverse(X_12))),X_12) = multiply(add(X_10,X_12),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_12,add(X_127,inverse(X_12))),multiplicative_identity) )],[refute_0_1869,refute_0_1870]) ).
cnf(refute_0_1872,plain,
add(multiply(X_10,add(X_127,inverse(X_12))),X_12) = multiply(add(X_10,X_12),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,add(X_127,inverse(X_12))),X_12),multiply(add(X_10,X_12),add(X_12,add(X_127,inverse(X_12))))) )],[refute_0_1772,refute_0_1871]) ).
cnf(refute_0_1873,plain,
add(multiply(X_10,add(X_127,inverse(X_12))),X_12) = add(X_12,multiply(X_10,add(X_127,inverse(X_12)))),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(add(X_127,inverse(X_12)))),bind(X_56,$fot(X_12)),bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_1874,plain,
( add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != multiply(add(X_10,X_12),multiplicative_identity)
| add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != add(X_12,multiply(X_10,add(X_127,inverse(X_12))))
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = multiply(add(X_10,X_12),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,add(X_127,inverse(X_12))),X_12),multiply(add(X_10,X_12),multiplicative_identity)) ),[0],$fot(add(X_12,multiply(X_10,add(X_127,inverse(X_12)))))]]) ).
cnf(refute_0_1875,plain,
( add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != multiply(add(X_10,X_12),multiplicative_identity)
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = multiply(add(X_10,X_12),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,add(X_127,inverse(X_12))),X_12),add(X_12,multiply(X_10,add(X_127,inverse(X_12))))) )],[refute_0_1873,refute_0_1874]) ).
cnf(refute_0_1876,plain,
multiply(multiplicative_identity,add(X_10,X_12)) = add(X_10,X_12),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_1877,plain,
multiply(add(X_10,X_12),multiplicative_identity) = multiply(multiplicative_identity,add(X_10,X_12)),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_1878,plain,
( multiply(add(X_10,X_12),multiplicative_identity) != multiply(multiplicative_identity,add(X_10,X_12))
| multiply(multiplicative_identity,add(X_10,X_12)) != add(X_10,X_12)
| multiply(add(X_10,X_12),multiplicative_identity) = add(X_10,X_12) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_10,X_12),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(X_10,X_12)))),bind(Z0,$fot(add(X_10,X_12)))]]) ).
cnf(refute_0_1879,plain,
( multiply(multiplicative_identity,add(X_10,X_12)) != add(X_10,X_12)
| multiply(add(X_10,X_12),multiplicative_identity) = add(X_10,X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),multiplicative_identity),multiply(multiplicative_identity,add(X_10,X_12))) )],[refute_0_1877,refute_0_1878]) ).
cnf(refute_0_1880,plain,
multiply(add(X_10,X_12),multiplicative_identity) = add(X_10,X_12),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,X_12)),add(X_10,X_12)) )],[refute_0_1876,refute_0_1879]) ).
cnf(refute_0_1881,plain,
( multiply(add(X_10,X_12),multiplicative_identity) != add(X_10,X_12)
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) != multiply(add(X_10,X_12),multiplicative_identity)
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = add(X_10,X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_12,multiply(X_10,add(X_127,inverse(X_12)))),multiply(add(X_10,X_12),multiplicative_identity)) ),[1],$fot(add(X_10,X_12))]]) ).
cnf(refute_0_1882,plain,
( add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) != multiply(add(X_10,X_12),multiplicative_identity)
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = add(X_10,X_12) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),multiplicative_identity),add(X_10,X_12)) )],[refute_0_1880,refute_0_1881]) ).
cnf(refute_0_1883,plain,
( add(multiply(X_10,add(X_127,inverse(X_12))),X_12) != multiply(add(X_10,X_12),multiplicative_identity)
| add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = add(X_10,X_12) ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_10,add(X_127,inverse(X_12)))),multiply(add(X_10,X_12),multiplicative_identity)) )],[refute_0_1875,refute_0_1882]) ).
cnf(refute_0_1884,plain,
add(X_12,multiply(X_10,add(X_127,inverse(X_12)))) = add(X_10,X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,add(X_127,inverse(X_12))),X_12),multiply(add(X_10,X_12),multiplicative_identity)) )],[refute_0_1872,refute_0_1883]) ).
cnf(refute_0_1885,plain,
add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(X_251,multiply(X_10,X_11)),
inference(subst,[],[refute_0_1884:[bind(X_10,$fot(X_251)),bind(X_12,$fot(multiply(X_10,X_11))),bind(X_127,$fot(X_253))]]) ).
cnf(refute_0_1886,plain,
( add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(X_251,multiply(X_10,X_11))
| add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11)))))
| add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(X_251,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11)))))) ),[1],$fot(add(X_251,multiply(X_10,X_11)))]]) ).
cnf(refute_0_1887,plain,
( add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11)))))
| add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(X_251,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(X_251,multiply(X_10,X_11))) )],[refute_0_1885,refute_0_1886]) ).
cnf(refute_0_1888,plain,
add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(X_251,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(multiply(X_10,X_11),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11)))))) )],[refute_0_1771,refute_0_1887]) ).
cnf(refute_0_1889,plain,
add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = multiply(add(multiply(X_149,X_150),Y),add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149))))),
inference(subst,[],[distributivity2:[bind(X,$fot(multiply(X_149,X_150))),bind(Z,$fot(add(X_148,inverse(multiply(X_150,X_149)))))]]) ).
cnf(refute_0_1890,plain,
multiplicative_identity = add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145)))),
inference(subst,[],[refute_0_1866:[bind(X_29,$fot(multiply(X_146,X_145)))]]) ).
cnf(refute_0_1891,plain,
add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145)))) = add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145)))),
inference(subst,[],[refute_0_1134:[bind(X_10,$fot(X_145)),bind(X_11,$fot(X_146)),bind(X_12,$fot(add(X_10,inverse(multiply(X_146,X_145)))))]]) ).
cnf(refute_0_1892,plain,
( add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145)))) != add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145))))
| multiplicative_identity != add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145))))
| multiplicative_identity = add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145))))) ),[1],$fot(add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145)))))]]) ).
cnf(refute_0_1893,plain,
( multiplicative_identity != add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145))))
| multiplicative_identity = add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145)))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145)))),add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145))))) )],[refute_0_1891,refute_0_1892]) ).
cnf(refute_0_1894,plain,
multiplicative_identity = add(multiply(X_145,X_146),add(X_10,inverse(multiply(X_146,X_145)))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_146,X_145),add(X_10,inverse(multiply(X_146,X_145))))) )],[refute_0_1890,refute_0_1893]) ).
cnf(refute_0_1895,plain,
multiplicative_identity = add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))),
inference(subst,[],[refute_0_1894:[bind(X_10,$fot(X_148)),bind(X_145,$fot(X_149)),bind(X_146,$fot(X_150))]]) ).
cnf(refute_0_1896,plain,
( multiplicative_identity != add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149))))
| add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149))))))]]) ).
cnf(refute_0_1897,plain,
add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149))))) )],[refute_0_1895,refute_0_1896]) ).
cnf(refute_0_1898,plain,
( add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) != multiply(add(multiply(X_149,X_150),Y),add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))))
| add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))) != multiplicative_identity
| add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))),multiply(add(multiply(X_149,X_150),Y),add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_1899,plain,
( add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) != multiply(add(multiply(X_149,X_150),Y),add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))))
| add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))),multiplicative_identity) )],[refute_0_1897,refute_0_1898]) ).
cnf(refute_0_1900,plain,
add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = multiply(add(multiply(X_149,X_150),Y),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))),multiply(add(multiply(X_149,X_150),Y),add(multiply(X_149,X_150),add(X_148,inverse(multiply(X_150,X_149)))))) )],[refute_0_1889,refute_0_1899]) ).
cnf(refute_0_1901,plain,
multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)) = add(multiply(X_149,X_150),Y),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(multiply(X_149,X_150),Y)))]]) ).
cnf(refute_0_1902,plain,
multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) = multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(add(multiply(X_149,X_150),Y)))]]) ).
cnf(refute_0_1903,plain,
( multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) != multiply(multiplicative_identity,add(multiply(X_149,X_150),Y))
| multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)) != add(multiply(X_149,X_150),Y)
| multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) = add(multiply(X_149,X_150),Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(multiply(X_149,X_150),Y),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)))),bind(Z0,$fot(add(multiply(X_149,X_150),Y)))]]) ).
cnf(refute_0_1904,plain,
( multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)) != add(multiply(X_149,X_150),Y)
| multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) = add(multiply(X_149,X_150),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_149,X_150),Y),multiplicative_identity),multiply(multiplicative_identity,add(multiply(X_149,X_150),Y))) )],[refute_0_1902,refute_0_1903]) ).
cnf(refute_0_1905,plain,
multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) = add(multiply(X_149,X_150),Y),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(multiply(X_149,X_150),Y)),add(multiply(X_149,X_150),Y)) )],[refute_0_1901,refute_0_1904]) ).
cnf(refute_0_1906,plain,
( multiply(add(multiply(X_149,X_150),Y),multiplicative_identity) != add(multiply(X_149,X_150),Y)
| add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) != multiply(add(multiply(X_149,X_150),Y),multiplicative_identity)
| add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = add(multiply(X_149,X_150),Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))),multiply(add(multiply(X_149,X_150),Y),multiplicative_identity)) ),[1],$fot(add(multiply(X_149,X_150),Y))]]) ).
cnf(refute_0_1907,plain,
( add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) != multiply(add(multiply(X_149,X_150),Y),multiplicative_identity)
| add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = add(multiply(X_149,X_150),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(multiply(X_149,X_150),Y),multiplicative_identity),add(multiply(X_149,X_150),Y)) )],[refute_0_1905,refute_0_1906]) ).
cnf(refute_0_1908,plain,
add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))) = add(multiply(X_149,X_150),Y),
inference(resolve,[$cnf( $equal(add(multiply(X_149,X_150),multiply(Y,add(X_148,inverse(multiply(X_150,X_149))))),multiply(add(multiply(X_149,X_150),Y),multiplicative_identity)) )],[refute_0_1900,refute_0_1907]) ).
cnf(refute_0_1909,plain,
add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) = add(multiply(X_11,X_10),X_251),
inference(subst,[],[refute_0_1908:[bind(Y,$fot(X_251)),bind(X_148,$fot(X_253)),bind(X_149,$fot(X_11)),bind(X_150,$fot(X_10))]]) ).
cnf(refute_0_1910,plain,
( add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(X_251,multiply(X_10,X_11))
| add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(multiply(X_11,X_10),X_251)
| add(multiply(X_11,X_10),X_251) = add(X_251,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(X_251,multiply(X_10,X_11))) ),[0],$fot(add(multiply(X_11,X_10),X_251))]]) ).
cnf(refute_0_1911,plain,
( add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))) != add(X_251,multiply(X_10,X_11))
| add(multiply(X_11,X_10),X_251) = add(X_251,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(multiply(X_11,X_10),X_251)) )],[refute_0_1909,refute_0_1910]) ).
cnf(refute_0_1912,plain,
add(multiply(X_11,X_10),X_251) = add(X_251,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_10),multiply(X_251,add(X_253,inverse(multiply(X_10,X_11))))),add(X_251,multiply(X_10,X_11))) )],[refute_0_1888,refute_0_1911]) ).
cnf(refute_0_1913,plain,
add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))),
inference(subst,[],[refute_0_1912:[bind(X_10,$fot(X_263)),bind(X_11,$fot(multiply(X_264,inverse(X_64)))),bind(X_251,$fot(X_64))]]) ).
cnf(refute_0_1914,plain,
( add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))) != add(X_64,multiply(X_263,X_264))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,multiply(X_263,multiply(X_264,inverse(X_64))))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,multiply(X_263,X_264)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64))),bind(Y0,$fot(add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))))),bind(Z0,$fot(add(X_64,multiply(X_263,X_264))))]]) ).
cnf(refute_0_1915,plain,
( add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))) != add(X_64,multiply(X_263,X_264))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,multiply(X_263,X_264)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,multiply(X_263,multiply(X_264,inverse(X_64))))) )],[refute_0_1913,refute_0_1914]) ).
cnf(refute_0_1916,plain,
add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) = add(X_64,multiply(X_263,X_264)),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_263,multiply(X_264,inverse(X_64)))),add(X_64,multiply(X_263,X_264))) )],[refute_0_1770,refute_0_1915]) ).
cnf(refute_0_1917,plain,
( add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,multiply(X_263,X_264))
| add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,add(X_64,multiply(X_264,X_263)))
| add(X_64,multiply(X_263,X_264)) = add(X_64,add(X_64,multiply(X_264,X_263))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,add(X_64,multiply(X_264,X_263)))) ),[0],$fot(add(X_64,multiply(X_263,X_264)))]]) ).
cnf(refute_0_1918,plain,
( add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,add(X_64,multiply(X_264,X_263)))
| add(X_64,multiply(X_263,X_264)) = add(X_64,add(X_64,multiply(X_264,X_263))) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,multiply(X_263,X_264))) )],[refute_0_1916,refute_0_1917]) ).
cnf(refute_0_1919,plain,
( add(X_65,X_64) != add(X_64,add(X_64,X_65))
| add(X_64,add(X_64,X_65)) = add(X_65,X_64) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_65,X_64))),bind(Y0,$fot(add(X_64,add(X_64,X_65))))]]) ).
cnf(refute_0_1920,plain,
add(X_64,add(X_64,X_65)) = add(X_65,X_64),
inference(resolve,[$cnf( $equal(add(X_65,X_64),add(X_64,add(X_64,X_65))) )],[refute_0_1649,refute_0_1919]) ).
cnf(refute_0_1921,plain,
add(X_64,add(X_64,multiply(X_264,X_263))) = add(multiply(X_264,X_263),X_64),
inference(subst,[],[refute_0_1920:[bind(X_65,$fot(multiply(X_264,X_263)))]]) ).
cnf(refute_0_1922,plain,
( add(X_64,multiply(X_263,X_264)) != add(X_64,add(X_64,multiply(X_264,X_263)))
| add(X_64,add(X_64,multiply(X_264,X_263))) != add(multiply(X_264,X_263),X_64)
| add(X_64,multiply(X_263,X_264)) = add(multiply(X_264,X_263),X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_64,multiply(X_263,X_264)),add(multiply(X_264,X_263),X_64)) ),[0],$fot(add(X_64,add(X_64,multiply(X_264,X_263))))]]) ).
cnf(refute_0_1923,plain,
( add(X_64,multiply(X_263,X_264)) != add(X_64,add(X_64,multiply(X_264,X_263)))
| add(X_64,multiply(X_263,X_264)) = add(multiply(X_264,X_263),X_64) ),
inference(resolve,[$cnf( $equal(add(X_64,add(X_64,multiply(X_264,X_263))),add(multiply(X_264,X_263),X_64)) )],[refute_0_1921,refute_0_1922]) ).
cnf(refute_0_1924,plain,
( add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64) != add(X_64,add(X_64,multiply(X_264,X_263)))
| add(X_64,multiply(X_263,X_264)) = add(multiply(X_264,X_263),X_64) ),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_263,X_264)),add(X_64,add(X_64,multiply(X_264,X_263)))) )],[refute_0_1918,refute_0_1923]) ).
cnf(refute_0_1925,plain,
add(X_64,multiply(X_263,X_264)) = add(multiply(X_264,X_263),X_64),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_264,inverse(X_64)),X_263),X_64),add(X_64,add(X_64,multiply(X_264,X_263)))) )],[refute_0_1769,refute_0_1924]) ).
cnf(refute_0_1926,plain,
( add(X_64,multiply(X_263,X_264)) != add(multiply(X_264,X_263),X_64)
| add(multiply(X_264,X_263),X_64) = add(X_64,multiply(X_263,X_264)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_64,multiply(X_263,X_264)))),bind(Y0,$fot(add(multiply(X_264,X_263),X_64)))]]) ).
cnf(refute_0_1927,plain,
add(multiply(X_264,X_263),X_64) = add(X_64,multiply(X_263,X_264)),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_263,X_264)),add(multiply(X_264,X_263),X_64)) )],[refute_0_1925,refute_0_1926]) ).
cnf(refute_0_1928,plain,
add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)),
inference(subst,[],[refute_0_1927:[bind(X_263,$fot(multiply(X_267,inverse(X_64)))),bind(X_264,$fot(X_266))]]) ).
cnf(refute_0_1929,plain,
( add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)) != add(X_64,multiply(X_267,X_266))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,multiply(X_267,X_266)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64))),bind(Y0,$fot(add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)))),bind(Z0,$fot(add(X_64,multiply(X_267,X_266))))]]) ).
cnf(refute_0_1930,plain,
( add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)) != add(X_64,multiply(X_267,X_266))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,multiply(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266))) )],[refute_0_1928,refute_0_1929]) ).
cnf(refute_0_1931,plain,
add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) = add(X_64,multiply(X_267,X_266)),
inference(resolve,[$cnf( $equal(add(X_64,multiply(multiply(X_267,inverse(X_64)),X_266)),add(X_64,multiply(X_267,X_266))) )],[refute_0_1764,refute_0_1930]) ).
cnf(refute_0_1932,plain,
( add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,multiply(X_267,X_266))
| add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,add(X_64,multiply(X_266,X_267)))
| add(X_64,multiply(X_267,X_266)) = add(X_64,add(X_64,multiply(X_266,X_267))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,add(X_64,multiply(X_266,X_267)))) ),[0],$fot(add(X_64,multiply(X_267,X_266)))]]) ).
cnf(refute_0_1933,plain,
( add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,add(X_64,multiply(X_266,X_267)))
| add(X_64,multiply(X_267,X_266)) = add(X_64,add(X_64,multiply(X_266,X_267))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,multiply(X_267,X_266))) )],[refute_0_1931,refute_0_1932]) ).
cnf(refute_0_1934,plain,
add(X_64,add(X_64,multiply(X_266,X_267))) = add(multiply(X_266,X_267),X_64),
inference(subst,[],[refute_0_1920:[bind(X_65,$fot(multiply(X_266,X_267)))]]) ).
cnf(refute_0_1935,plain,
( add(X_64,multiply(X_267,X_266)) != add(X_64,add(X_64,multiply(X_266,X_267)))
| add(X_64,add(X_64,multiply(X_266,X_267))) != add(multiply(X_266,X_267),X_64)
| add(X_64,multiply(X_267,X_266)) = add(multiply(X_266,X_267),X_64) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X_64,multiply(X_267,X_266)),add(multiply(X_266,X_267),X_64)) ),[0],$fot(add(X_64,add(X_64,multiply(X_266,X_267))))]]) ).
cnf(refute_0_1936,plain,
( add(X_64,multiply(X_267,X_266)) != add(X_64,add(X_64,multiply(X_266,X_267)))
| add(X_64,multiply(X_267,X_266)) = add(multiply(X_266,X_267),X_64) ),
inference(resolve,[$cnf( $equal(add(X_64,add(X_64,multiply(X_266,X_267))),add(multiply(X_266,X_267),X_64)) )],[refute_0_1934,refute_0_1935]) ).
cnf(refute_0_1937,plain,
( add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64) != add(X_64,add(X_64,multiply(X_266,X_267)))
| add(X_64,multiply(X_267,X_266)) = add(multiply(X_266,X_267),X_64) ),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_267,X_266)),add(X_64,add(X_64,multiply(X_266,X_267)))) )],[refute_0_1933,refute_0_1936]) ).
cnf(refute_0_1938,plain,
add(X_64,multiply(X_267,X_266)) = add(multiply(X_266,X_267),X_64),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(X_64))),X_64),add(X_64,add(X_64,multiply(X_266,X_267)))) )],[refute_0_1763,refute_0_1937]) ).
cnf(refute_0_1939,plain,
( add(X_64,multiply(X_267,X_266)) != add(multiply(X_266,X_267),X_64)
| add(multiply(X_266,X_267),X_64) = add(X_64,multiply(X_267,X_266)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_64,multiply(X_267,X_266)))),bind(Y0,$fot(add(multiply(X_266,X_267),X_64)))]]) ).
cnf(refute_0_1940,plain,
add(multiply(X_266,X_267),X_64) = add(X_64,multiply(X_267,X_266)),
inference(resolve,[$cnf( $equal(add(X_64,multiply(X_267,X_266)),add(multiply(X_266,X_267),X_64)) )],[refute_0_1938,refute_0_1939]) ).
cnf(refute_0_1941,plain,
add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(multiply(X_267,inverse(Y)),X_266)),
inference(subst,[],[refute_0_1940:[bind(X_267,$fot(multiply(X_267,inverse(Y)))),bind(X_64,$fot(Y))]]) ).
cnf(refute_0_1942,plain,
( add(Y,multiply(multiply(X_267,inverse(Y)),X_266)) != add(Y,multiply(X_267,X_266))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(multiply(X_267,inverse(Y)),X_266))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_267,X_266)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_266,multiply(X_267,inverse(Y))),Y))),bind(Y0,$fot(add(Y,multiply(multiply(X_267,inverse(Y)),X_266)))),bind(Z0,$fot(add(Y,multiply(X_267,X_266))))]]) ).
cnf(refute_0_1943,plain,
( add(Y,multiply(multiply(X_267,inverse(Y)),X_266)) != add(Y,multiply(X_267,X_266))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_267,X_266)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(multiply(X_267,inverse(Y)),X_266))) )],[refute_0_1941,refute_0_1942]) ).
cnf(refute_0_1944,plain,
add(multiply(X_266,multiply(X_267,inverse(Y))),Y) = add(Y,multiply(X_267,X_266)),
inference(resolve,[$cnf( $equal(add(Y,multiply(multiply(X_267,inverse(Y)),X_266)),add(Y,multiply(X_267,X_266))) )],[refute_0_1758,refute_0_1943]) ).
cnf(refute_0_1945,plain,
( add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(X_266,X_267))
| add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(X_267,X_266))
| add(Y,multiply(X_267,X_266)) = add(Y,multiply(X_266,X_267)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(X_266,X_267))) ),[0],$fot(add(Y,multiply(X_267,X_266)))]]) ).
cnf(refute_0_1946,plain,
( add(multiply(X_266,multiply(X_267,inverse(Y))),Y) != add(Y,multiply(X_266,X_267))
| add(Y,multiply(X_267,X_266)) = add(Y,multiply(X_266,X_267)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(X_267,X_266))) )],[refute_0_1944,refute_0_1945]) ).
cnf(refute_0_1947,plain,
add(Y,multiply(X_267,X_266)) = add(Y,multiply(X_266,X_267)),
inference(resolve,[$cnf( $equal(add(multiply(X_266,multiply(X_267,inverse(Y))),Y),add(Y,multiply(X_266,X_267))) )],[refute_0_1749,refute_0_1946]) ).
cnf(refute_0_1948,plain,
( add(Y,multiply(X_267,X_266)) != add(Y,multiply(X_266,X_267))
| add(Y,multiply(X_266,X_267)) = add(Y,multiply(X_267,X_266)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(Y,multiply(X_267,X_266)))),bind(Y0,$fot(add(Y,multiply(X_266,X_267))))]]) ).
cnf(refute_0_1949,plain,
add(Y,multiply(X_266,X_267)) = add(Y,multiply(X_267,X_266)),
inference(resolve,[$cnf( $equal(add(Y,multiply(X_267,X_266)),add(Y,multiply(X_266,X_267))) )],[refute_0_1947,refute_0_1948]) ).
cnf(refute_0_1950,plain,
add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))),
inference(subst,[],[refute_0_1949:[bind(Y,$fot(add(X_100,X_99))),bind(X_266,$fot(inverse(add(X_100,X_99)))),bind(X_267,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_1951,plain,
( add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) != add(X_100,X_99)
| add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99))))
| add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_100,X_99) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))),bind(Y0,$fot(add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))))),bind(Z0,$fot(add(X_100,X_99)))]]) ).
cnf(refute_0_1952,plain,
( add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) != add(X_100,X_99)
| add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_100,X_99) ),
inference(resolve,[$cnf( $equal(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99))))) )],[refute_0_1950,refute_0_1951]) ).
cnf(refute_0_1953,plain,
add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_100,X_99),
inference(resolve,[$cnf( $equal(add(add(X_100,X_99),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))),add(X_100,X_99)) )],[refute_0_1735,refute_0_1952]) ).
cnf(refute_0_1954,plain,
inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),
introduced(tautology,[refl,[$fot(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))]]) ).
cnf(refute_0_1955,plain,
( add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(X_100,X_99)
| inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) ),[1,0],$fot(add(X_100,X_99))]]) ).
cnf(refute_0_1956,plain,
( add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(X_100,X_99)
| inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) )],[refute_0_1954,refute_0_1955]) ).
cnf(refute_0_1957,plain,
inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)),
inference(resolve,[$cnf( $equal(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),add(X_100,X_99)) )],[refute_0_1953,refute_0_1956]) ).
cnf(refute_0_1958,plain,
multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),add(inverse(X_10),inverse(add(X_10,X_104)))) = inverse(add(X_10,X_104)),
inference(subst,[],[refute_0_1196:[bind(X_10,$fot(inverse(X_10))),bind(X_11,$fot(add(X_10,X_104)))]]) ).
cnf(refute_0_1959,plain,
add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_104)))) = add(inverse(add(X_10,X_104)),inverse(X_10)),
inference(subst,[],[refute_0_338:[bind(X_11,$fot(inverse(add(X_10,X_104))))]]) ).
cnf(refute_0_1960,plain,
additive_identity = multiply(add(X_62,X_75),inverse(add(X_75,add(X_62,X_75)))),
inference(subst,[],[refute_0_769:[bind(X_56,$fot(add(X_62,X_75))),bind(X_70,$fot(X_75))]]) ).
cnf(refute_0_1961,plain,
add(X_62,X_75) = add(X_75,add(X_62,X_75)),
inference(subst,[],[refute_0_755:[bind(X_63,$fot(X_75))]]) ).
cnf(refute_0_1962,plain,
( add(X_62,X_75) != add(X_75,add(X_62,X_75))
| add(X_75,add(X_62,X_75)) = add(X_62,X_75) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_62,X_75))),bind(Y0,$fot(add(X_75,add(X_62,X_75))))]]) ).
cnf(refute_0_1963,plain,
add(X_75,add(X_62,X_75)) = add(X_62,X_75),
inference(resolve,[$cnf( $equal(add(X_62,X_75),add(X_75,add(X_62,X_75))) )],[refute_0_1961,refute_0_1962]) ).
cnf(refute_0_1964,plain,
( add(X_75,add(X_62,X_75)) != add(X_62,X_75)
| additive_identity != multiply(add(X_62,X_75),inverse(add(X_75,add(X_62,X_75))))
| additive_identity = multiply(add(X_62,X_75),inverse(add(X_62,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(add(X_62,X_75),inverse(add(X_75,add(X_62,X_75))))) ),[1,1,0],$fot(add(X_62,X_75))]]) ).
cnf(refute_0_1965,plain,
( additive_identity != multiply(add(X_62,X_75),inverse(add(X_75,add(X_62,X_75))))
| additive_identity = multiply(add(X_62,X_75),inverse(add(X_62,X_75))) ),
inference(resolve,[$cnf( $equal(add(X_75,add(X_62,X_75)),add(X_62,X_75)) )],[refute_0_1963,refute_0_1964]) ).
cnf(refute_0_1966,plain,
additive_identity = multiply(add(X_62,X_75),inverse(add(X_62,X_75))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(add(X_62,X_75),inverse(add(X_75,add(X_62,X_75))))) )],[refute_0_1960,refute_0_1965]) ).
cnf(refute_0_1967,plain,
multiply(add(X,Y),inverse(add(X_75,Y))) = add(multiply(X,inverse(add(X_75,Y))),multiply(Y,inverse(add(X_75,Y)))),
inference(subst,[],[distributivity3:[bind(Z,$fot(inverse(add(X_75,Y))))]]) ).
cnf(refute_0_1968,plain,
additive_identity = multiply(Y,inverse(add(X_75,Y))),
inference(subst,[],[refute_0_769:[bind(X_56,$fot(Y)),bind(X_70,$fot(X_75))]]) ).
cnf(refute_0_1969,plain,
( additive_identity != multiply(Y,inverse(add(X_75,Y)))
| multiply(Y,inverse(add(X_75,Y))) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(Y,inverse(add(X_75,Y)))))]]) ).
cnf(refute_0_1970,plain,
multiply(Y,inverse(add(X_75,Y))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(Y,inverse(add(X_75,Y)))) )],[refute_0_1968,refute_0_1969]) ).
cnf(refute_0_1971,plain,
( multiply(Y,inverse(add(X_75,Y))) != additive_identity
| multiply(add(X,Y),inverse(add(X_75,Y))) != add(multiply(X,inverse(add(X_75,Y))),multiply(Y,inverse(add(X_75,Y))))
| multiply(add(X,Y),inverse(add(X_75,Y))) = add(multiply(X,inverse(add(X_75,Y))),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,Y),inverse(add(X_75,Y))),add(multiply(X,inverse(add(X_75,Y))),multiply(Y,inverse(add(X_75,Y))))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_1972,plain,
( multiply(add(X,Y),inverse(add(X_75,Y))) != add(multiply(X,inverse(add(X_75,Y))),multiply(Y,inverse(add(X_75,Y))))
| multiply(add(X,Y),inverse(add(X_75,Y))) = add(multiply(X,inverse(add(X_75,Y))),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(Y,inverse(add(X_75,Y))),additive_identity) )],[refute_0_1970,refute_0_1971]) ).
cnf(refute_0_1973,plain,
multiply(add(X,Y),inverse(add(X_75,Y))) = add(multiply(X,inverse(add(X_75,Y))),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X_75,Y))),add(multiply(X,inverse(add(X_75,Y))),multiply(Y,inverse(add(X_75,Y))))) )],[refute_0_1967,refute_0_1972]) ).
cnf(refute_0_1974,plain,
add(additive_identity,multiply(X,inverse(add(X_75,Y)))) = multiply(X,inverse(add(X_75,Y))),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(X,inverse(add(X_75,Y)))))]]) ).
cnf(refute_0_1975,plain,
add(multiply(X,inverse(add(X_75,Y))),additive_identity) = add(additive_identity,multiply(X,inverse(add(X_75,Y)))),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(inverse(add(X_75,Y)))),bind(X_56,$fot(additive_identity)),bind(X_57,$fot(X))]]) ).
cnf(refute_0_1976,plain,
( add(multiply(X,inverse(add(X_75,Y))),additive_identity) != add(additive_identity,multiply(X,inverse(add(X_75,Y))))
| add(additive_identity,multiply(X,inverse(add(X_75,Y)))) != multiply(X,inverse(add(X_75,Y)))
| add(multiply(X,inverse(add(X_75,Y))),additive_identity) = multiply(X,inverse(add(X_75,Y))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,inverse(add(X_75,Y))),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(X,inverse(add(X_75,Y)))))),bind(Z0,$fot(multiply(X,inverse(add(X_75,Y)))))]]) ).
cnf(refute_0_1977,plain,
( add(additive_identity,multiply(X,inverse(add(X_75,Y)))) != multiply(X,inverse(add(X_75,Y)))
| add(multiply(X,inverse(add(X_75,Y))),additive_identity) = multiply(X,inverse(add(X_75,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(add(X_75,Y))),additive_identity),add(additive_identity,multiply(X,inverse(add(X_75,Y))))) )],[refute_0_1975,refute_0_1976]) ).
cnf(refute_0_1978,plain,
add(multiply(X,inverse(add(X_75,Y))),additive_identity) = multiply(X,inverse(add(X_75,Y))),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(X,inverse(add(X_75,Y)))),multiply(X,inverse(add(X_75,Y)))) )],[refute_0_1974,refute_0_1977]) ).
cnf(refute_0_1979,plain,
( multiply(add(X,Y),inverse(add(X_75,Y))) != add(multiply(X,inverse(add(X_75,Y))),additive_identity)
| add(multiply(X,inverse(add(X_75,Y))),additive_identity) != multiply(X,inverse(add(X_75,Y)))
| multiply(add(X,Y),inverse(add(X_75,Y))) = multiply(X,inverse(add(X_75,Y))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,Y),inverse(add(X_75,Y))),multiply(X,inverse(add(X_75,Y)))) ),[0],$fot(add(multiply(X,inverse(add(X_75,Y))),additive_identity))]]) ).
cnf(refute_0_1980,plain,
( multiply(add(X,Y),inverse(add(X_75,Y))) != add(multiply(X,inverse(add(X_75,Y))),additive_identity)
| multiply(add(X,Y),inverse(add(X_75,Y))) = multiply(X,inverse(add(X_75,Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,inverse(add(X_75,Y))),additive_identity),multiply(X,inverse(add(X_75,Y)))) )],[refute_0_1978,refute_0_1979]) ).
cnf(refute_0_1981,plain,
multiply(add(X,Y),inverse(add(X_75,Y))) = multiply(X,inverse(add(X_75,Y))),
inference(resolve,[$cnf( $equal(multiply(add(X,Y),inverse(add(X_75,Y))),add(multiply(X,inverse(add(X_75,Y))),additive_identity)) )],[refute_0_1973,refute_0_1980]) ).
cnf(refute_0_1982,plain,
multiply(add(X_62,X_75),inverse(add(X_62,X_75))) = multiply(X_62,inverse(add(X_62,X_75))),
inference(subst,[],[refute_0_1981:[bind(X,$fot(X_62)),bind(Y,$fot(X_75)),bind(X_75,$fot(X_62))]]) ).
cnf(refute_0_1983,plain,
( multiply(add(X_62,X_75),inverse(add(X_62,X_75))) != multiply(X_62,inverse(add(X_62,X_75)))
| additive_identity != multiply(add(X_62,X_75),inverse(add(X_62,X_75)))
| additive_identity = multiply(X_62,inverse(add(X_62,X_75))) ),
introduced(tautology,[equality,[$cnf( $equal(additive_identity,multiply(add(X_62,X_75),inverse(add(X_62,X_75)))) ),[1],$fot(multiply(X_62,inverse(add(X_62,X_75))))]]) ).
cnf(refute_0_1984,plain,
( additive_identity != multiply(add(X_62,X_75),inverse(add(X_62,X_75)))
| additive_identity = multiply(X_62,inverse(add(X_62,X_75))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_62,X_75),inverse(add(X_62,X_75))),multiply(X_62,inverse(add(X_62,X_75)))) )],[refute_0_1982,refute_0_1983]) ).
cnf(refute_0_1985,plain,
additive_identity = multiply(X_62,inverse(add(X_62,X_75))),
inference(resolve,[$cnf( $equal(additive_identity,multiply(add(X_62,X_75),inverse(add(X_62,X_75)))) )],[refute_0_1966,refute_0_1984]) ).
cnf(refute_0_1986,plain,
additive_identity = multiply(X_10,inverse(add(X_10,X_104))),
inference(subst,[],[refute_0_1985:[bind(X_62,$fot(X_10)),bind(X_75,$fot(X_104))]]) ).
cnf(refute_0_1987,plain,
( additive_identity != multiply(X_10,inverse(add(X_10,X_104)))
| multiply(X_10,inverse(add(X_10,X_104))) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(X_10,inverse(add(X_10,X_104)))))]]) ).
cnf(refute_0_1988,plain,
multiply(X_10,inverse(add(X_10,X_104))) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(X_10,inverse(add(X_10,X_104)))) )],[refute_0_1986,refute_0_1987]) ).
cnf(refute_0_1989,plain,
( multiply(X_10,inverse(add(X_10,X_104))) != additive_identity
| add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_104)))) != add(inverse(add(X_10,X_104)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_104)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_104)))),add(inverse(add(X_10,X_104)),inverse(X_10))) ),[0,1],$fot(additive_identity)]]) ).
cnf(refute_0_1990,plain,
( add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_104)))) != add(inverse(add(X_10,X_104)),inverse(X_10))
| add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_104)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(X_10,X_104))),additive_identity) )],[refute_0_1988,refute_0_1989]) ).
cnf(refute_0_1991,plain,
add(inverse(X_10),additive_identity) = add(inverse(add(X_10,X_104)),inverse(X_10)),
inference(resolve,[$cnf( $equal(add(inverse(X_10),multiply(X_10,inverse(add(X_10,X_104)))),add(inverse(add(X_10,X_104)),inverse(X_10))) )],[refute_0_1959,refute_0_1990]) ).
cnf(refute_0_1992,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_104)),inverse(X_10))
| add(inverse(X_10),additive_identity) != inverse(X_10)
| inverse(X_10) = add(inverse(add(X_10,X_104)),inverse(X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_10,X_104)),inverse(X_10))) ),[0],$fot(inverse(X_10))]]) ).
cnf(refute_0_1993,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_104)),inverse(X_10))
| inverse(X_10) = add(inverse(add(X_10,X_104)),inverse(X_10)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),inverse(X_10)) )],[refute_0_1213,refute_0_1992]) ).
cnf(refute_0_1994,plain,
add(inverse(add(X_10,X_104)),inverse(X_10)) = add(inverse(X_10),inverse(add(X_10,X_104))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(add(X_10,X_104)))),bind(X_55,$fot(inverse(X_10)))]]) ).
cnf(refute_0_1995,plain,
( add(inverse(add(X_10,X_104)),inverse(X_10)) != add(inverse(X_10),inverse(add(X_10,X_104)))
| inverse(X_10) != add(inverse(add(X_10,X_104)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_104))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(X_10),add(inverse(add(X_10,X_104)),inverse(X_10))) ),[1],$fot(add(inverse(X_10),inverse(add(X_10,X_104))))]]) ).
cnf(refute_0_1996,plain,
( inverse(X_10) != add(inverse(add(X_10,X_104)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_104))) ),
inference(resolve,[$cnf( $equal(add(inverse(add(X_10,X_104)),inverse(X_10)),add(inverse(X_10),inverse(add(X_10,X_104)))) )],[refute_0_1994,refute_0_1995]) ).
cnf(refute_0_1997,plain,
( add(inverse(X_10),additive_identity) != add(inverse(add(X_10,X_104)),inverse(X_10))
| inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_104))) ),
inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(add(X_10,X_104)),inverse(X_10))) )],[refute_0_1993,refute_0_1996]) ).
cnf(refute_0_1998,plain,
inverse(X_10) = add(inverse(X_10),inverse(add(X_10,X_104))),
inference(resolve,[$cnf( $equal(add(inverse(X_10),additive_identity),add(inverse(add(X_10,X_104)),inverse(X_10))) )],[refute_0_1991,refute_0_1997]) ).
cnf(refute_0_1999,plain,
( inverse(X_10) != add(inverse(X_10),inverse(add(X_10,X_104)))
| add(inverse(X_10),inverse(add(X_10,X_104))) = inverse(X_10) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(X_10))),bind(Y0,$fot(add(inverse(X_10),inverse(add(X_10,X_104)))))]]) ).
cnf(refute_0_2000,plain,
add(inverse(X_10),inverse(add(X_10,X_104))) = inverse(X_10),
inference(resolve,[$cnf( $equal(inverse(X_10),add(inverse(X_10),inverse(add(X_10,X_104)))) )],[refute_0_1998,refute_0_1999]) ).
cnf(refute_0_2001,plain,
( multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),add(inverse(X_10),inverse(add(X_10,X_104)))) != inverse(add(X_10,X_104))
| add(inverse(X_10),inverse(add(X_10,X_104))) != inverse(X_10)
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_10,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),add(inverse(X_10),inverse(add(X_10,X_104)))),inverse(add(X_10,X_104))) ),[0,1],$fot(inverse(X_10))]]) ).
cnf(refute_0_2002,plain,
( multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),add(inverse(X_10),inverse(add(X_10,X_104)))) != inverse(add(X_10,X_104))
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(add(inverse(X_10),inverse(add(X_10,X_104))),inverse(X_10)) )],[refute_0_2000,refute_0_2001]) ).
cnf(refute_0_2003,plain,
multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_10,X_104)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),add(inverse(X_10),inverse(add(X_10,X_104)))),inverse(add(X_10,X_104))) )],[refute_0_1958,refute_0_2002]) ).
cnf(refute_0_2004,plain,
add(X_104,inverse(inverse(X_10))) = add(X_104,inverse(inverse(X_10))),
introduced(tautology,[refl,[$fot(add(X_104,inverse(inverse(X_10))))]]) ).
cnf(refute_0_2005,plain,
( add(X_104,inverse(inverse(X_10))) != add(X_104,inverse(inverse(X_10)))
| inverse(inverse(X_10)) != X_10
| add(X_104,inverse(inverse(X_10))) = add(X_104,X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_104,inverse(inverse(X_10))),add(X_104,inverse(inverse(X_10)))) ),[1,1],$fot(X_10)]]) ).
cnf(refute_0_2006,plain,
( inverse(inverse(X_10)) != X_10
| add(X_104,inverse(inverse(X_10))) = add(X_104,X_10) ),
inference(resolve,[$cnf( $equal(add(X_104,inverse(inverse(X_10))),add(X_104,inverse(inverse(X_10)))) )],[refute_0_2004,refute_0_2005]) ).
cnf(refute_0_2007,plain,
add(X_104,inverse(inverse(X_10))) = add(X_104,X_10),
inference(resolve,[$cnf( $equal(inverse(inverse(X_10)),X_10) )],[refute_0_342,refute_0_2006]) ).
cnf(refute_0_2008,plain,
inverse(add(X_104,inverse(inverse(X_10)))) = inverse(add(X_104,inverse(inverse(X_10)))),
introduced(tautology,[refl,[$fot(inverse(add(X_104,inverse(inverse(X_10)))))]]) ).
cnf(refute_0_2009,plain,
( add(X_104,inverse(inverse(X_10))) != add(X_104,X_10)
| inverse(add(X_104,inverse(inverse(X_10)))) != inverse(add(X_104,inverse(inverse(X_10))))
| inverse(add(X_104,inverse(inverse(X_10)))) = inverse(add(X_104,X_10)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_104,inverse(inverse(X_10)))),inverse(add(X_104,inverse(inverse(X_10))))) ),[1,0],$fot(add(X_104,X_10))]]) ).
cnf(refute_0_2010,plain,
( add(X_104,inverse(inverse(X_10))) != add(X_104,X_10)
| inverse(add(X_104,inverse(inverse(X_10)))) = inverse(add(X_104,X_10)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_104,inverse(inverse(X_10)))),inverse(add(X_104,inverse(inverse(X_10))))) )],[refute_0_2008,refute_0_2009]) ).
cnf(refute_0_2011,plain,
inverse(add(X_104,inverse(inverse(X_10)))) = inverse(add(X_104,X_10)),
inference(resolve,[$cnf( $equal(add(X_104,inverse(inverse(X_10))),add(X_104,X_10)) )],[refute_0_2007,refute_0_2010]) ).
cnf(refute_0_2012,plain,
multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) = inverse(add(X_104,inverse(inverse(X_10)))),
inference(subst,[],[refute_0_1242:[bind(X_302,$fot(X_104)),bind(X_303,$fot(inverse(X_10)))]]) ).
cnf(refute_0_2013,plain,
( multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) != inverse(add(X_104,inverse(inverse(X_10))))
| inverse(add(X_104,inverse(inverse(X_10)))) != inverse(add(X_104,X_10))
| multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) = inverse(add(X_104,X_10)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))))),bind(Y0,$fot(inverse(add(X_104,inverse(inverse(X_10)))))),bind(Z0,$fot(inverse(add(X_104,X_10))))]]) ).
cnf(refute_0_2014,plain,
( inverse(add(X_104,inverse(inverse(X_10)))) != inverse(add(X_104,X_10))
| multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) = inverse(add(X_104,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))),inverse(add(X_104,inverse(inverse(X_10))))) )],[refute_0_2012,refute_0_2013]) ).
cnf(refute_0_2015,plain,
multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) = inverse(add(X_104,X_10)),
inference(resolve,[$cnf( $equal(inverse(add(X_104,inverse(inverse(X_10)))),inverse(add(X_104,X_10))) )],[refute_0_2011,refute_0_2014]) ).
cnf(refute_0_2016,plain,
multiply(inverse(X_10),add(X_10,X_104)) = multiply(X_104,inverse(X_10)),
inference(subst,[],[refute_0_21:[bind(X_56,$fot(X_10)),bind(X_57,$fot(X_104))]]) ).
cnf(refute_0_2017,plain,
inverse(multiply(inverse(X_10),add(X_10,X_104))) = inverse(multiply(inverse(X_10),add(X_10,X_104))),
introduced(tautology,[refl,[$fot(inverse(multiply(inverse(X_10),add(X_10,X_104))))]]) ).
cnf(refute_0_2018,plain,
( multiply(inverse(X_10),add(X_10,X_104)) != multiply(X_104,inverse(X_10))
| inverse(multiply(inverse(X_10),add(X_10,X_104))) != inverse(multiply(inverse(X_10),add(X_10,X_104)))
| inverse(multiply(inverse(X_10),add(X_10,X_104))) = inverse(multiply(X_104,inverse(X_10))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(multiply(inverse(X_10),add(X_10,X_104)))) ),[1,0],$fot(multiply(X_104,inverse(X_10)))]]) ).
cnf(refute_0_2019,plain,
( multiply(inverse(X_10),add(X_10,X_104)) != multiply(X_104,inverse(X_10))
| inverse(multiply(inverse(X_10),add(X_10,X_104))) = inverse(multiply(X_104,inverse(X_10))) ),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(multiply(inverse(X_10),add(X_10,X_104)))) )],[refute_0_2017,refute_0_2018]) ).
cnf(refute_0_2020,plain,
inverse(multiply(inverse(X_10),add(X_10,X_104))) = inverse(multiply(X_104,inverse(X_10))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),add(X_10,X_104)),multiply(X_104,inverse(X_10))) )],[refute_0_2016,refute_0_2019]) ).
cnf(refute_0_2021,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),
introduced(tautology,[refl,[$fot(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))))]]) ).
cnf(refute_0_2022,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) != multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104))))
| inverse(multiply(inverse(X_10),add(X_10,X_104))) != inverse(multiply(X_104,inverse(X_10)))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104))))) ),[1,1],$fot(inverse(multiply(X_104,inverse(X_10))))]]) ).
cnf(refute_0_2023,plain,
( inverse(multiply(inverse(X_10),add(X_10,X_104))) != inverse(multiply(X_104,inverse(X_10)))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104))))) )],[refute_0_2021,refute_0_2022]) ).
cnf(refute_0_2024,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))),
inference(resolve,[$cnf( $equal(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(multiply(X_104,inverse(X_10)))) )],[refute_0_2020,refute_0_2023]) ).
cnf(refute_0_2025,plain,
( multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) != inverse(add(X_104,X_10))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) != multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10))))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = inverse(add(X_104,X_10)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))))),bind(Y0,$fot(multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))))),bind(Z0,$fot(inverse(add(X_104,X_10))))]]) ).
cnf(refute_0_2026,plain,
( multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))) != inverse(add(X_104,X_10))
| multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = inverse(add(X_104,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10))))) )],[refute_0_2024,refute_0_2025]) ).
cnf(refute_0_2027,plain,
multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) = inverse(add(X_104,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(X_104,inverse(X_10)))),inverse(add(X_104,X_10))) )],[refute_0_2015,refute_0_2026]) ).
cnf(refute_0_2028,plain,
multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) = add(multiply(multiply(X_188,X_190),Y),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190)))),
inference(subst,[],[distributivity4:[bind(X,$fot(multiply(X_188,X_190))),bind(Z,$fot(multiply(X_188,add(X_189,X_190))))]]) ).
cnf(refute_0_2029,plain,
multiply(X,Z) = multiply(multiply(X,Z),add(multiply(X,Y),multiply(X,Z))),
inference(subst,[],[refute_0_661:[bind(X_23,$fot(multiply(X,Z))),bind(X_56,$fot(multiply(X,Y)))]]) ).
cnf(refute_0_2030,plain,
( multiply(X,Z) != multiply(multiply(X,Z),add(multiply(X,Y),multiply(X,Z)))
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(X,Z) = multiply(multiply(X,Z),multiply(X,add(Y,Z))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X,Z),multiply(multiply(X,Z),add(multiply(X,Y),multiply(X,Z)))) ),[1,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_2031,plain,
( multiply(X,Z) != multiply(multiply(X,Z),add(multiply(X,Y),multiply(X,Z)))
| multiply(X,Z) = multiply(multiply(X,Z),multiply(X,add(Y,Z))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_295,refute_0_2030]) ).
cnf(refute_0_2032,plain,
multiply(X,Z) = multiply(multiply(X,Z),multiply(X,add(Y,Z))),
inference(resolve,[$cnf( $equal(multiply(X,Z),multiply(multiply(X,Z),add(multiply(X,Y),multiply(X,Z)))) )],[refute_0_2029,refute_0_2031]) ).
cnf(refute_0_2033,plain,
multiply(X_188,X_190) = multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))),
inference(subst,[],[refute_0_2032:[bind(X,$fot(X_188)),bind(Y,$fot(X_189)),bind(Z,$fot(X_190))]]) ).
cnf(refute_0_2034,plain,
( multiply(X_188,X_190) != multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190)))
| multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))) = multiply(X_188,X_190) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_188,X_190))),bind(Y0,$fot(multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190)))))]]) ).
cnf(refute_0_2035,plain,
multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))) = multiply(X_188,X_190),
inference(resolve,[$cnf( $equal(multiply(X_188,X_190),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190)))) )],[refute_0_2033,refute_0_2034]) ).
cnf(refute_0_2036,plain,
( multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))) != multiply(X_188,X_190)
| multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != add(multiply(multiply(X_188,X_190),Y),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))))
| multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) = add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))),add(multiply(multiply(X_188,X_190),Y),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))))) ),[1,1],$fot(multiply(X_188,X_190))]]) ).
cnf(refute_0_2037,plain,
( multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != add(multiply(multiply(X_188,X_190),Y),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))))
| multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) = add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))),multiply(X_188,X_190)) )],[refute_0_2035,refute_0_2036]) ).
cnf(refute_0_2038,plain,
multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) = add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))),add(multiply(multiply(X_188,X_190),Y),multiply(multiply(X_188,X_190),multiply(X_188,add(X_189,X_190))))) )],[refute_0_2028,refute_0_2037]) ).
cnf(refute_0_2039,plain,
multiply(X_76,add(X_77,add(X_76,X_56))) = add(multiply(X_76,X_77),multiply(X_76,add(X_76,X_56))),
inference(subst,[],[distributivity4:[bind(X,$fot(X_76)),bind(Y,$fot(X_77)),bind(Z,$fot(add(X_76,X_56)))]]) ).
cnf(refute_0_2040,plain,
X_76 = multiply(X_76,add(X_76,X_56)),
inference(subst,[],[refute_0_162:[bind(X_58,$fot(X_76))]]) ).
cnf(refute_0_2041,plain,
( X_76 != multiply(X_76,add(X_76,X_56))
| multiply(X_76,add(X_76,X_56)) = X_76 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_76)),bind(Y0,$fot(multiply(X_76,add(X_76,X_56))))]]) ).
cnf(refute_0_2042,plain,
multiply(X_76,add(X_76,X_56)) = X_76,
inference(resolve,[$cnf( $equal(X_76,multiply(X_76,add(X_76,X_56))) )],[refute_0_2040,refute_0_2041]) ).
cnf(refute_0_2043,plain,
( multiply(X_76,add(X_76,X_56)) != X_76
| multiply(X_76,add(X_77,add(X_76,X_56))) != add(multiply(X_76,X_77),multiply(X_76,add(X_76,X_56)))
| multiply(X_76,add(X_77,add(X_76,X_56))) = add(multiply(X_76,X_77),X_76) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_76,add(X_77,add(X_76,X_56))),add(multiply(X_76,X_77),multiply(X_76,add(X_76,X_56)))) ),[1,1],$fot(X_76)]]) ).
cnf(refute_0_2044,plain,
( multiply(X_76,add(X_77,add(X_76,X_56))) != add(multiply(X_76,X_77),multiply(X_76,add(X_76,X_56)))
| multiply(X_76,add(X_77,add(X_76,X_56))) = add(multiply(X_76,X_77),X_76) ),
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_76,X_56)),X_76) )],[refute_0_2042,refute_0_2043]) ).
cnf(refute_0_2045,plain,
multiply(X_76,add(X_77,add(X_76,X_56))) = add(multiply(X_76,X_77),X_76),
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_77,add(X_76,X_56))),add(multiply(X_76,X_77),multiply(X_76,add(X_76,X_56)))) )],[refute_0_2039,refute_0_2044]) ).
cnf(refute_0_2046,plain,
add(Y,multiply(Y,Z)) = multiply(add(Y,Y),add(Y,Z)),
inference(subst,[],[distributivity2:[bind(X,$fot(Y))]]) ).
cnf(refute_0_2047,plain,
Y = add(Y,Y),
inference(subst,[],[refute_0_143:[bind(X_24,$fot(Y))]]) ).
cnf(refute_0_2048,plain,
( Y != add(Y,Y)
| add(Y,Y) = Y ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(Y)),bind(Y0,$fot(add(Y,Y)))]]) ).
cnf(refute_0_2049,plain,
add(Y,Y) = Y,
inference(resolve,[$cnf( $equal(Y,add(Y,Y)) )],[refute_0_2047,refute_0_2048]) ).
cnf(refute_0_2050,plain,
( add(Y,Y) != Y
| add(Y,multiply(Y,Z)) != multiply(add(Y,Y),add(Y,Z))
| add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) ),[1,0],$fot(Y)]]) ).
cnf(refute_0_2051,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( $equal(add(Y,Y),Y) )],[refute_0_2049,refute_0_2050]) ).
cnf(refute_0_2052,plain,
add(Y,multiply(Y,Z)) = multiply(Y,add(Y,Z)),
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(add(Y,Y),add(Y,Z))) )],[refute_0_2046,refute_0_2051]) ).
cnf(refute_0_2053,plain,
multiply(Y,add(Y,Z)) = Y,
inference(subst,[],[refute_0_164:[bind(X_56,$fot(Z)),bind(X_58,$fot(Y))]]) ).
cnf(refute_0_2054,plain,
( multiply(Y,add(Y,Z)) != Y
| add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
introduced(tautology,[equality,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) ),[1],$fot(Y)]]) ).
cnf(refute_0_2055,plain,
( add(Y,multiply(Y,Z)) != multiply(Y,add(Y,Z))
| add(Y,multiply(Y,Z)) = Y ),
inference(resolve,[$cnf( $equal(multiply(Y,add(Y,Z)),Y) )],[refute_0_2053,refute_0_2054]) ).
cnf(refute_0_2056,plain,
add(Y,multiply(Y,Z)) = Y,
inference(resolve,[$cnf( $equal(add(Y,multiply(Y,Z)),multiply(Y,add(Y,Z))) )],[refute_0_2052,refute_0_2055]) ).
cnf(refute_0_2057,plain,
add(X_76,multiply(X_76,X_77)) = X_76,
inference(subst,[],[refute_0_2056:[bind(Y,$fot(X_76)),bind(Z,$fot(X_77))]]) ).
cnf(refute_0_2058,plain,
add(multiply(X_76,X_77),X_76) = add(X_76,multiply(X_76,X_77)),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(X_77)),bind(X_56,$fot(X_76)),bind(X_57,$fot(X_76))]]) ).
cnf(refute_0_2059,plain,
( add(X_76,multiply(X_76,X_77)) != X_76
| add(multiply(X_76,X_77),X_76) != add(X_76,multiply(X_76,X_77))
| add(multiply(X_76,X_77),X_76) = X_76 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_76,X_77),X_76))),bind(Y0,$fot(add(X_76,multiply(X_76,X_77)))),bind(Z0,$fot(X_76))]]) ).
cnf(refute_0_2060,plain,
( add(X_76,multiply(X_76,X_77)) != X_76
| add(multiply(X_76,X_77),X_76) = X_76 ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),X_76),add(X_76,multiply(X_76,X_77))) )],[refute_0_2058,refute_0_2059]) ).
cnf(refute_0_2061,plain,
add(multiply(X_76,X_77),X_76) = X_76,
inference(resolve,[$cnf( $equal(add(X_76,multiply(X_76,X_77)),X_76) )],[refute_0_2057,refute_0_2060]) ).
cnf(refute_0_2062,plain,
( multiply(X_76,add(X_77,add(X_76,X_56))) != add(multiply(X_76,X_77),X_76)
| add(multiply(X_76,X_77),X_76) != X_76
| multiply(X_76,add(X_77,add(X_76,X_56))) = X_76 ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_76,add(X_77,add(X_76,X_56))),X_76) ),[0],$fot(add(multiply(X_76,X_77),X_76))]]) ).
cnf(refute_0_2063,plain,
( multiply(X_76,add(X_77,add(X_76,X_56))) != add(multiply(X_76,X_77),X_76)
| multiply(X_76,add(X_77,add(X_76,X_56))) = X_76 ),
inference(resolve,[$cnf( $equal(add(multiply(X_76,X_77),X_76),X_76) )],[refute_0_2061,refute_0_2062]) ).
cnf(refute_0_2064,plain,
multiply(X_76,add(X_77,add(X_76,X_56))) = X_76,
inference(resolve,[$cnf( $equal(multiply(X_76,add(X_77,add(X_76,X_56))),add(multiply(X_76,X_77),X_76)) )],[refute_0_2045,refute_0_2063]) ).
cnf(refute_0_2065,plain,
multiply(X_80,add(X_81,add(X_80,add(X_62,X_80)))) = X_80,
inference(subst,[],[refute_0_2064:[bind(X_56,$fot(add(X_62,X_80))),bind(X_76,$fot(X_80)),bind(X_77,$fot(X_81))]]) ).
cnf(refute_0_2066,plain,
add(X_62,X_80) = add(X_80,add(X_62,X_80)),
inference(subst,[],[refute_0_755:[bind(X_63,$fot(X_80))]]) ).
cnf(refute_0_2067,plain,
( add(X_62,X_80) != add(X_80,add(X_62,X_80))
| add(X_80,add(X_62,X_80)) = add(X_62,X_80) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_62,X_80))),bind(Y0,$fot(add(X_80,add(X_62,X_80))))]]) ).
cnf(refute_0_2068,plain,
add(X_80,add(X_62,X_80)) = add(X_62,X_80),
inference(resolve,[$cnf( $equal(add(X_62,X_80),add(X_80,add(X_62,X_80))) )],[refute_0_2066,refute_0_2067]) ).
cnf(refute_0_2069,plain,
( multiply(X_80,add(X_81,add(X_80,add(X_62,X_80)))) != X_80
| add(X_80,add(X_62,X_80)) != add(X_62,X_80)
| multiply(X_80,add(X_81,add(X_62,X_80))) = X_80 ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_80,add(X_81,add(X_80,add(X_62,X_80)))),X_80) ),[0,1,1],$fot(add(X_62,X_80))]]) ).
cnf(refute_0_2070,plain,
( multiply(X_80,add(X_81,add(X_80,add(X_62,X_80)))) != X_80
| multiply(X_80,add(X_81,add(X_62,X_80))) = X_80 ),
inference(resolve,[$cnf( $equal(add(X_80,add(X_62,X_80)),add(X_62,X_80)) )],[refute_0_2068,refute_0_2069]) ).
cnf(refute_0_2071,plain,
multiply(X_80,add(X_81,add(X_62,X_80))) = X_80,
inference(resolve,[$cnf( $equal(multiply(X_80,add(X_81,add(X_80,add(X_62,X_80)))),X_80) )],[refute_0_2065,refute_0_2070]) ).
cnf(refute_0_2072,plain,
multiply(multiply(X,Z),add(X_137,add(multiply(X,Y),multiply(X,Z)))) = multiply(X,Z),
inference(subst,[],[refute_0_2071:[bind(X_62,$fot(multiply(X,Y))),bind(X_80,$fot(multiply(X,Z))),bind(X_81,$fot(X_137))]]) ).
cnf(refute_0_2073,plain,
( multiply(multiply(X,Z),add(X_137,add(multiply(X,Y),multiply(X,Z)))) != multiply(X,Z)
| add(multiply(X,Y),multiply(X,Z)) != multiply(X,add(Y,Z))
| multiply(multiply(X,Z),add(X_137,multiply(X,add(Y,Z)))) = multiply(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X,Z),add(X_137,add(multiply(X,Y),multiply(X,Z)))),multiply(X,Z)) ),[0,1,1],$fot(multiply(X,add(Y,Z)))]]) ).
cnf(refute_0_2074,plain,
( multiply(multiply(X,Z),add(X_137,add(multiply(X,Y),multiply(X,Z)))) != multiply(X,Z)
| multiply(multiply(X,Z),add(X_137,multiply(X,add(Y,Z)))) = multiply(X,Z) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(X,Z)),multiply(X,add(Y,Z))) )],[refute_0_295,refute_0_2073]) ).
cnf(refute_0_2075,plain,
multiply(multiply(X,Z),add(X_137,multiply(X,add(Y,Z)))) = multiply(X,Z),
inference(resolve,[$cnf( $equal(multiply(multiply(X,Z),add(X_137,add(multiply(X,Y),multiply(X,Z)))),multiply(X,Z)) )],[refute_0_2072,refute_0_2074]) ).
cnf(refute_0_2076,plain,
multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) = multiply(X_188,X_190),
inference(subst,[],[refute_0_2075:[bind(X,$fot(X_188)),bind(Y,$fot(X_189)),bind(Z,$fot(X_190)),bind(X_137,$fot(Y))]]) ).
cnf(refute_0_2077,plain,
( multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != multiply(X_188,X_190)
| multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))
| multiply(X_188,X_190) = add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))),add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))) ),[0],$fot(multiply(X_188,X_190))]]) ).
cnf(refute_0_2078,plain,
( multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))
| multiply(X_188,X_190) = add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))),multiply(X_188,X_190)) )],[refute_0_2076,refute_0_2077]) ).
cnf(refute_0_2079,plain,
add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = multiply(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),add(X_11,multiply(X_151,X_152))),
inference(subst,[],[refute_0_1680:[bind(X_10,$fot(inverse(multiply(X_153,multiply(X_152,X_151))))),bind(X_12,$fot(multiply(X_151,X_152)))]]) ).
cnf(refute_0_2080,plain,
multiplicative_identity = add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),
inference(subst,[],[refute_0_1316:[bind(X_145,$fot(X_151)),bind(X_146,$fot(X_152)),bind(X_68,$fot(X_153))]]) ).
cnf(refute_0_2081,plain,
( multiplicative_identity != add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151))))
| add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151))))))]]) ).
cnf(refute_0_2082,plain,
add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151))))) )],[refute_0_2080,refute_0_2081]) ).
cnf(refute_0_2083,plain,
( add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))) != multiplicative_identity
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != multiply(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),add(X_11,multiply(X_151,X_152)))
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),multiply(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),add(X_11,multiply(X_151,X_152)))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2084,plain,
( add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != multiply(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),add(X_11,multiply(X_151,X_152)))
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),multiplicative_identity) )],[refute_0_2082,refute_0_2083]) ).
cnf(refute_0_2085,plain,
add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),multiply(add(multiply(X_151,X_152),inverse(multiply(X_153,multiply(X_152,X_151)))),add(X_11,multiply(X_151,X_152)))) )],[refute_0_2079,refute_0_2084]) ).
cnf(refute_0_2086,plain,
add(X,multiply(inverse(multiply(X_73,X)),Z)) = multiply(add(X,inverse(multiply(X_73,X))),add(X,Z)),
inference(subst,[],[distributivity2:[bind(Y,$fot(inverse(multiply(X_73,X))))]]) ).
cnf(refute_0_2087,plain,
( add(X,multiply(inverse(multiply(X_73,X)),Z)) != multiply(add(X,inverse(multiply(X_73,X))),add(X,Z))
| add(X,inverse(multiply(X_73,X))) != multiplicative_identity
| add(X,multiply(inverse(multiply(X_73,X)),Z)) = multiply(multiplicative_identity,add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(inverse(multiply(X_73,X)),Z)),multiply(add(X,inverse(multiply(X_73,X))),add(X,Z))) ),[1,0],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2088,plain,
( add(X,multiply(inverse(multiply(X_73,X)),Z)) != multiply(add(X,inverse(multiply(X_73,X))),add(X,Z))
| add(X,multiply(inverse(multiply(X_73,X)),Z)) = multiply(multiplicative_identity,add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,inverse(multiply(X_73,X))),multiplicative_identity) )],[refute_0_1327,refute_0_2087]) ).
cnf(refute_0_2089,plain,
add(X,multiply(inverse(multiply(X_73,X)),Z)) = multiply(multiplicative_identity,add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(multiply(X_73,X)),Z)),multiply(add(X,inverse(multiply(X_73,X))),add(X,Z))) )],[refute_0_2086,refute_0_2088]) ).
cnf(refute_0_2090,plain,
multiply(multiplicative_identity,add(X,Z)) = add(X,Z),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X,Z)))]]) ).
cnf(refute_0_2091,plain,
( multiply(multiplicative_identity,add(X,Z)) != add(X,Z)
| add(X,multiply(inverse(multiply(X_73,X)),Z)) != multiply(multiplicative_identity,add(X,Z))
| add(X,multiply(inverse(multiply(X_73,X)),Z)) = add(X,Z) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(inverse(multiply(X_73,X)),Z)),multiply(multiplicative_identity,add(X,Z))) ),[1],$fot(add(X,Z))]]) ).
cnf(refute_0_2092,plain,
( add(X,multiply(inverse(multiply(X_73,X)),Z)) != multiply(multiplicative_identity,add(X,Z))
| add(X,multiply(inverse(multiply(X_73,X)),Z)) = add(X,Z) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X,Z)),add(X,Z)) )],[refute_0_2090,refute_0_2091]) ).
cnf(refute_0_2093,plain,
add(X,multiply(inverse(multiply(X_73,X)),Z)) = add(X,Z),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(multiply(X_73,X)),Z)),multiply(multiplicative_identity,add(X,Z))) )],[refute_0_2089,refute_0_2092]) ).
cnf(refute_0_2094,plain,
add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)) = add(multiply(X_152,X_151),X_11),
inference(subst,[],[refute_0_2093:[bind(X,$fot(multiply(X_152,X_151))),bind(Z,$fot(X_11)),bind(X_73,$fot(X_153))]]) ).
cnf(refute_0_2095,plain,
add(X,multiply(X_146,X_145)) = add(multiply(X_146,X_145),X),
inference(subst,[],[commutativity_of_add:[bind(Y,$fot(multiply(X_146,X_145)))]]) ).
cnf(refute_0_2096,plain,
add(multiply(X_146,X_145),X) = add(multiply(X_145,X_146),X),
inference(subst,[],[refute_0_1134:[bind(X_10,$fot(X_145)),bind(X_11,$fot(X_146)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_2097,plain,
( add(X,multiply(X_146,X_145)) != add(multiply(X_146,X_145),X)
| add(multiply(X_146,X_145),X) != add(multiply(X_145,X_146),X)
| add(X,multiply(X_146,X_145)) = add(multiply(X_145,X_146),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(X,multiply(X_146,X_145)),add(multiply(X_145,X_146),X)) ),[0],$fot(add(multiply(X_146,X_145),X))]]) ).
cnf(refute_0_2098,plain,
( add(X,multiply(X_146,X_145)) != add(multiply(X_146,X_145),X)
| add(X,multiply(X_146,X_145)) = add(multiply(X_145,X_146),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X_146,X_145),X),add(multiply(X_145,X_146),X)) )],[refute_0_2096,refute_0_2097]) ).
cnf(refute_0_2099,plain,
add(X,multiply(X_146,X_145)) = add(multiply(X_145,X_146),X),
inference(resolve,[$cnf( $equal(add(X,multiply(X_146,X_145)),add(multiply(X_146,X_145),X)) )],[refute_0_2095,refute_0_2098]) ).
cnf(refute_0_2100,plain,
add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)),
inference(subst,[],[refute_0_2099:[bind(X,$fot(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11))),bind(X_145,$fot(X_152)),bind(X_146,$fot(X_151))]]) ).
cnf(refute_0_2101,plain,
( add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)) != add(multiply(X_152,X_151),X_11)
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11))
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = add(multiply(X_152,X_151),X_11) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)))),bind(Y0,$fot(add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)))),bind(Z0,$fot(add(multiply(X_152,X_151),X_11)))]]) ).
cnf(refute_0_2102,plain,
( add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)) != add(multiply(X_152,X_151),X_11)
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = add(multiply(X_152,X_151),X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11))) )],[refute_0_2100,refute_0_2101]) ).
cnf(refute_0_2103,plain,
add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) = add(multiply(X_152,X_151),X_11),
inference(resolve,[$cnf( $equal(add(multiply(X_152,X_151),multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11)),add(multiply(X_152,X_151),X_11)) )],[refute_0_2094,refute_0_2102]) ).
cnf(refute_0_2104,plain,
( add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))
| add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != add(multiply(X_152,X_151),X_11)
| add(multiply(X_152,X_151),X_11) = multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))) ),[0],$fot(add(multiply(X_152,X_151),X_11))]]) ).
cnf(refute_0_2105,plain,
( add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))
| add(multiply(X_152,X_151),X_11) = multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) ),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),add(multiply(X_152,X_151),X_11)) )],[refute_0_2103,refute_0_2104]) ).
cnf(refute_0_2106,plain,
multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) = add(X_11,multiply(X_151,X_152)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_11,multiply(X_151,X_152))))]]) ).
cnf(refute_0_2107,plain,
( multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))) != add(X_11,multiply(X_151,X_152))
| add(multiply(X_152,X_151),X_11) != multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))
| add(multiply(X_152,X_151),X_11) = add(X_11,multiply(X_151,X_152)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_152,X_151),X_11),multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))) ),[1],$fot(add(X_11,multiply(X_151,X_152)))]]) ).
cnf(refute_0_2108,plain,
( add(multiply(X_152,X_151),X_11) != multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))
| add(multiply(X_152,X_151),X_11) = add(X_11,multiply(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152))),add(X_11,multiply(X_151,X_152))) )],[refute_0_2106,refute_0_2107]) ).
cnf(refute_0_2109,plain,
( add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)) != multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))
| add(multiply(X_152,X_151),X_11) = add(X_11,multiply(X_151,X_152)) ),
inference(resolve,[$cnf( $equal(add(multiply(X_152,X_151),X_11),multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))) )],[refute_0_2105,refute_0_2108]) ).
cnf(refute_0_2110,plain,
add(multiply(X_152,X_151),X_11) = add(X_11,multiply(X_151,X_152)),
inference(resolve,[$cnf( $equal(add(multiply(inverse(multiply(X_153,multiply(X_152,X_151))),X_11),multiply(X_151,X_152)),multiply(multiplicative_identity,add(X_11,multiply(X_151,X_152)))) )],[refute_0_2085,refute_0_2109]) ).
cnf(refute_0_2111,plain,
( add(multiply(X_152,X_151),X_11) != add(X_11,multiply(X_151,X_152))
| add(X_11,multiply(X_151,X_152)) = add(multiply(X_152,X_151),X_11) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_152,X_151),X_11))),bind(Y0,$fot(add(X_11,multiply(X_151,X_152))))]]) ).
cnf(refute_0_2112,plain,
add(X_11,multiply(X_151,X_152)) = add(multiply(X_152,X_151),X_11),
inference(resolve,[$cnf( $equal(add(multiply(X_152,X_151),X_11),add(X_11,multiply(X_151,X_152))) )],[refute_0_2110,refute_0_2111]) ).
cnf(refute_0_2113,plain,
add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) = add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)),
inference(subst,[],[refute_0_2112:[bind(X_11,$fot(multiply(multiply(X_188,X_190),Y))),bind(X_151,$fot(X_188)),bind(X_152,$fot(X_190))]]) ).
cnf(refute_0_2114,plain,
( multiply(X_188,X_190) != add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))
| add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)) != add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))
| multiply(X_188,X_190) = add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_188,X_190),add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))) ),[0],$fot(add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)))]]) ).
cnf(refute_0_2115,plain,
( multiply(X_188,X_190) != add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))
| multiply(X_188,X_190) = add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190)),add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))) )],[refute_0_2113,refute_0_2114]) ).
cnf(refute_0_2116,plain,
( multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))) != add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))
| multiply(X_188,X_190) = add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) ),
inference(resolve,[$cnf( $equal(multiply(X_188,X_190),add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))) )],[refute_0_2078,refute_0_2115]) ).
cnf(refute_0_2117,plain,
multiply(X_188,X_190) = add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_188,X_190),add(Y,multiply(X_188,add(X_189,X_190)))),add(multiply(multiply(X_188,X_190),Y),multiply(X_188,X_190))) )],[refute_0_2038,refute_0_2116]) ).
cnf(refute_0_2118,plain,
add(X,multiply(multiply(inverse(X),X_30),Z)) = multiply(add(X,multiply(inverse(X),X_30)),add(X,Z)),
inference(subst,[],[distributivity2:[bind(Y,$fot(multiply(inverse(X),X_30)))]]) ).
cnf(refute_0_2119,plain,
( add(X,multiply(multiply(inverse(X),X_30),Z)) != multiply(add(X,multiply(inverse(X),X_30)),add(X,Z))
| add(X,multiply(inverse(X),X_30)) != add(X,X_30)
| add(X,multiply(multiply(inverse(X),X_30),Z)) = multiply(add(X,X_30),add(X,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_30),Z)),multiply(add(X,multiply(inverse(X),X_30)),add(X,Z))) ),[1,0],$fot(add(X,X_30))]]) ).
cnf(refute_0_2120,plain,
( add(X,multiply(multiply(inverse(X),X_30),Z)) != multiply(add(X,multiply(inverse(X),X_30)),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_30),Z)) = multiply(add(X,X_30),add(X,Z)) ),
inference(resolve,[$cnf( $equal(add(X,multiply(inverse(X),X_30)),add(X,X_30)) )],[refute_0_906,refute_0_2119]) ).
cnf(refute_0_2121,plain,
add(X,multiply(multiply(inverse(X),X_30),Z)) = multiply(add(X,X_30),add(X,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_30),Z)),multiply(add(X,multiply(inverse(X),X_30)),add(X,Z))) )],[refute_0_2118,refute_0_2120]) ).
cnf(refute_0_2122,plain,
multiply(add(X,X_30),add(X,Z)) = add(X,multiply(X_30,Z)),
inference(subst,[],[refute_0_482:[bind(Y,$fot(X_30))]]) ).
cnf(refute_0_2123,plain,
( multiply(add(X,X_30),add(X,Z)) != add(X,multiply(X_30,Z))
| add(X,multiply(multiply(inverse(X),X_30),Z)) != multiply(add(X,X_30),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_30),Z)) = add(X,multiply(X_30,Z)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_30),Z)),multiply(add(X,X_30),add(X,Z))) ),[1],$fot(add(X,multiply(X_30,Z)))]]) ).
cnf(refute_0_2124,plain,
( add(X,multiply(multiply(inverse(X),X_30),Z)) != multiply(add(X,X_30),add(X,Z))
| add(X,multiply(multiply(inverse(X),X_30),Z)) = add(X,multiply(X_30,Z)) ),
inference(resolve,[$cnf( $equal(multiply(add(X,X_30),add(X,Z)),add(X,multiply(X_30,Z))) )],[refute_0_2122,refute_0_2123]) ).
cnf(refute_0_2125,plain,
add(X,multiply(multiply(inverse(X),X_30),Z)) = add(X,multiply(X_30,Z)),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(inverse(X),X_30),Z)),multiply(add(X,X_30),add(X,Z))) )],[refute_0_2121,refute_0_2124]) ).
cnf(refute_0_2126,plain,
add(X_229,multiply(multiply(inverse(X_229),multiply(X_229,X_87)),X_230)) = add(X_229,multiply(multiply(X_229,X_87),X_230)),
inference(subst,[],[refute_0_2125:[bind(X,$fot(X_229)),bind(Z,$fot(X_230)),bind(X_30,$fot(multiply(X_229,X_87)))]]) ).
cnf(refute_0_2127,plain,
additive_identity = multiply(inverse(X_229),multiply(X_229,X_87)),
inference(subst,[],[refute_0_959:[bind(X_85,$fot(X_229))]]) ).
cnf(refute_0_2128,plain,
( additive_identity != multiply(inverse(X_229),multiply(X_229,X_87))
| multiply(inverse(X_229),multiply(X_229,X_87)) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(inverse(X_229),multiply(X_229,X_87))))]]) ).
cnf(refute_0_2129,plain,
multiply(inverse(X_229),multiply(X_229,X_87)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_229),multiply(X_229,X_87))) )],[refute_0_2127,refute_0_2128]) ).
cnf(refute_0_2130,plain,
( multiply(inverse(X_229),multiply(X_229,X_87)) != additive_identity
| add(X_229,multiply(multiply(inverse(X_229),multiply(X_229,X_87)),X_230)) != add(X_229,multiply(multiply(X_229,X_87),X_230))
| add(X_229,multiply(additive_identity,X_230)) = add(X_229,multiply(multiply(X_229,X_87),X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_229,multiply(multiply(inverse(X_229),multiply(X_229,X_87)),X_230)),add(X_229,multiply(multiply(X_229,X_87),X_230))) ),[0,1,0],$fot(additive_identity)]]) ).
cnf(refute_0_2131,plain,
( add(X_229,multiply(multiply(inverse(X_229),multiply(X_229,X_87)),X_230)) != add(X_229,multiply(multiply(X_229,X_87),X_230))
| add(X_229,multiply(additive_identity,X_230)) = add(X_229,multiply(multiply(X_229,X_87),X_230)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_229),multiply(X_229,X_87)),additive_identity) )],[refute_0_2129,refute_0_2130]) ).
cnf(refute_0_2132,plain,
add(X_229,multiply(additive_identity,X_230)) = add(X_229,multiply(multiply(X_229,X_87),X_230)),
inference(resolve,[$cnf( $equal(add(X_229,multiply(multiply(inverse(X_229),multiply(X_229,X_87)),X_230)),add(X_229,multiply(multiply(X_229,X_87),X_230))) )],[refute_0_2126,refute_0_2131]) ).
cnf(refute_0_2133,plain,
add(X_229,additive_identity) = X_229,
inference(subst,[],[additive_id1:[bind(X,$fot(X_229))]]) ).
cnf(refute_0_2134,plain,
multiply(additive_identity,X_230) = additive_identity,
inference(subst,[],[refute_0_313:[bind(X_57,$fot(X_230))]]) ).
cnf(refute_0_2135,plain,
add(X_229,multiply(additive_identity,X_230)) = add(X_229,multiply(additive_identity,X_230)),
introduced(tautology,[refl,[$fot(add(X_229,multiply(additive_identity,X_230)))]]) ).
cnf(refute_0_2136,plain,
( multiply(additive_identity,X_230) != additive_identity
| add(X_229,multiply(additive_identity,X_230)) != add(X_229,multiply(additive_identity,X_230))
| add(X_229,multiply(additive_identity,X_230)) = add(X_229,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),add(X_229,multiply(additive_identity,X_230))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2137,plain,
( multiply(additive_identity,X_230) != additive_identity
| add(X_229,multiply(additive_identity,X_230)) = add(X_229,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),add(X_229,multiply(additive_identity,X_230))) )],[refute_0_2135,refute_0_2136]) ).
cnf(refute_0_2138,plain,
add(X_229,multiply(additive_identity,X_230)) = add(X_229,additive_identity),
inference(resolve,[$cnf( $equal(multiply(additive_identity,X_230),additive_identity) )],[refute_0_2134,refute_0_2137]) ).
cnf(refute_0_2139,plain,
( add(X_229,multiply(additive_identity,X_230)) != add(X_229,additive_identity)
| add(X_229,additive_identity) != X_229
| add(X_229,multiply(additive_identity,X_230)) = X_229 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_229,multiply(additive_identity,X_230)))),bind(Y0,$fot(add(X_229,additive_identity))),bind(Z0,$fot(X_229))]]) ).
cnf(refute_0_2140,plain,
( add(X_229,additive_identity) != X_229
| add(X_229,multiply(additive_identity,X_230)) = X_229 ),
inference(resolve,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),add(X_229,additive_identity)) )],[refute_0_2138,refute_0_2139]) ).
cnf(refute_0_2141,plain,
add(X_229,multiply(additive_identity,X_230)) = X_229,
inference(resolve,[$cnf( $equal(add(X_229,additive_identity),X_229) )],[refute_0_2133,refute_0_2140]) ).
cnf(refute_0_2142,plain,
( add(X_229,multiply(additive_identity,X_230)) != X_229
| add(X_229,multiply(additive_identity,X_230)) != add(X_229,multiply(multiply(X_229,X_87),X_230))
| X_229 = add(X_229,multiply(multiply(X_229,X_87),X_230)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),add(X_229,multiply(multiply(X_229,X_87),X_230))) ),[0],$fot(X_229)]]) ).
cnf(refute_0_2143,plain,
( add(X_229,multiply(additive_identity,X_230)) != add(X_229,multiply(multiply(X_229,X_87),X_230))
| X_229 = add(X_229,multiply(multiply(X_229,X_87),X_230)) ),
inference(resolve,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),X_229) )],[refute_0_2141,refute_0_2142]) ).
cnf(refute_0_2144,plain,
X_229 = add(X_229,multiply(multiply(X_229,X_87),X_230)),
inference(resolve,[$cnf( $equal(add(X_229,multiply(additive_identity,X_230)),add(X_229,multiply(multiply(X_229,X_87),X_230))) )],[refute_0_2132,refute_0_2143]) ).
cnf(refute_0_2145,plain,
( X_229 != add(X_229,multiply(multiply(X_229,X_87),X_230))
| add(X_229,multiply(multiply(X_229,X_87),X_230)) = X_229 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_229)),bind(Y0,$fot(add(X_229,multiply(multiply(X_229,X_87),X_230))))]]) ).
cnf(refute_0_2146,plain,
add(X_229,multiply(multiply(X_229,X_87),X_230)) = X_229,
inference(resolve,[$cnf( $equal(X_229,add(X_229,multiply(multiply(X_229,X_87),X_230))) )],[refute_0_2144,refute_0_2145]) ).
cnf(refute_0_2147,plain,
add(X_188,multiply(multiply(X_188,X_190),Y)) = X_188,
inference(subst,[],[refute_0_2146:[bind(X_229,$fot(X_188)),bind(X_230,$fot(Y)),bind(X_87,$fot(X_190))]]) ).
cnf(refute_0_2148,plain,
multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) = multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),
introduced(tautology,[refl,[$fot(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))))]]) ).
cnf(refute_0_2149,plain,
( multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) != multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))
| add(X_188,multiply(multiply(X_188,X_190),Y)) != X_188
| multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) = multiply(X_190,X_188) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))) ),[1,1],$fot(X_188)]]) ).
cnf(refute_0_2150,plain,
( add(X_188,multiply(multiply(X_188,X_190),Y)) != X_188
| multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) = multiply(X_190,X_188) ),
inference(resolve,[$cnf( $equal(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))) )],[refute_0_2148,refute_0_2149]) ).
cnf(refute_0_2151,plain,
multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) = multiply(X_190,X_188),
inference(resolve,[$cnf( $equal(add(X_188,multiply(multiply(X_188,X_190),Y)),X_188) )],[refute_0_2147,refute_0_2150]) ).
cnf(refute_0_2152,plain,
add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) = multiply(add(X,multiply(multiply(X_243,X),X_244)),add(Y,multiply(multiply(X_243,X),X_244))),
inference(subst,[],[distributivity1:[bind(Z,$fot(multiply(multiply(X_243,X),X_244)))]]) ).
cnf(refute_0_2153,plain,
add(multiply(multiply(X_105,X_12),X_11),X_12) = multiply(add(X_12,multiply(X_105,X_12)),add(X_11,X_12)),
inference(subst,[],[refute_0_1680:[bind(X_10,$fot(multiply(X_105,X_12)))]]) ).
cnf(refute_0_2154,plain,
add(X_12,multiply(X_105,X_12)) = X_12,
inference(subst,[],[refute_0_885:[bind(Y,$fot(X_105)),bind(Z,$fot(X_12))]]) ).
cnf(refute_0_2155,plain,
( add(X_12,multiply(X_105,X_12)) != X_12
| add(multiply(multiply(X_105,X_12),X_11),X_12) != multiply(add(X_12,multiply(X_105,X_12)),add(X_11,X_12))
| add(multiply(multiply(X_105,X_12),X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_105,X_12),X_11),X_12),multiply(add(X_12,multiply(X_105,X_12)),add(X_11,X_12))) ),[1,0],$fot(X_12)]]) ).
cnf(refute_0_2156,plain,
( add(multiply(multiply(X_105,X_12),X_11),X_12) != multiply(add(X_12,multiply(X_105,X_12)),add(X_11,X_12))
| add(multiply(multiply(X_105,X_12),X_11),X_12) = multiply(X_12,add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_105,X_12)),X_12) )],[refute_0_2154,refute_0_2155]) ).
cnf(refute_0_2157,plain,
add(multiply(multiply(X_105,X_12),X_11),X_12) = multiply(X_12,add(X_11,X_12)),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_105,X_12),X_11),X_12),multiply(add(X_12,multiply(X_105,X_12)),add(X_11,X_12))) )],[refute_0_2153,refute_0_2156]) ).
cnf(refute_0_2158,plain,
add(multiply(multiply(X_105,X_12),X_11),X_12) = add(X_12,multiply(multiply(X_105,X_12),X_11)),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(X_11)),bind(X_56,$fot(X_12)),bind(X_57,$fot(multiply(X_105,X_12)))]]) ).
cnf(refute_0_2159,plain,
( add(multiply(multiply(X_105,X_12),X_11),X_12) != multiply(X_12,add(X_11,X_12))
| add(multiply(multiply(X_105,X_12),X_11),X_12) != add(X_12,multiply(multiply(X_105,X_12),X_11))
| add(X_12,multiply(multiply(X_105,X_12),X_11)) = multiply(X_12,add(X_11,X_12)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(multiply(X_105,X_12),X_11),X_12),multiply(X_12,add(X_11,X_12))) ),[0],$fot(add(X_12,multiply(multiply(X_105,X_12),X_11)))]]) ).
cnf(refute_0_2160,plain,
( add(multiply(multiply(X_105,X_12),X_11),X_12) != multiply(X_12,add(X_11,X_12))
| add(X_12,multiply(multiply(X_105,X_12),X_11)) = multiply(X_12,add(X_11,X_12)) ),
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_105,X_12),X_11),X_12),add(X_12,multiply(multiply(X_105,X_12),X_11))) )],[refute_0_2158,refute_0_2159]) ).
cnf(refute_0_2161,plain,
multiply(X_12,add(X_11,X_12)) = X_12,
inference(subst,[],[refute_0_663:[bind(X_23,$fot(X_12)),bind(X_56,$fot(X_11))]]) ).
cnf(refute_0_2162,plain,
( multiply(X_12,add(X_11,X_12)) != X_12
| add(X_12,multiply(multiply(X_105,X_12),X_11)) != multiply(X_12,add(X_11,X_12))
| add(X_12,multiply(multiply(X_105,X_12),X_11)) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_12,multiply(multiply(X_105,X_12),X_11)),multiply(X_12,add(X_11,X_12))) ),[1],$fot(X_12)]]) ).
cnf(refute_0_2163,plain,
( add(X_12,multiply(multiply(X_105,X_12),X_11)) != multiply(X_12,add(X_11,X_12))
| add(X_12,multiply(multiply(X_105,X_12),X_11)) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_11,X_12)),X_12) )],[refute_0_2161,refute_0_2162]) ).
cnf(refute_0_2164,plain,
( add(multiply(multiply(X_105,X_12),X_11),X_12) != multiply(X_12,add(X_11,X_12))
| add(X_12,multiply(multiply(X_105,X_12),X_11)) = X_12 ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(multiply(X_105,X_12),X_11)),multiply(X_12,add(X_11,X_12))) )],[refute_0_2160,refute_0_2163]) ).
cnf(refute_0_2165,plain,
add(X_12,multiply(multiply(X_105,X_12),X_11)) = X_12,
inference(resolve,[$cnf( $equal(add(multiply(multiply(X_105,X_12),X_11),X_12),multiply(X_12,add(X_11,X_12))) )],[refute_0_2157,refute_0_2164]) ).
cnf(refute_0_2166,plain,
add(X,multiply(multiply(X_243,X),X_244)) = X,
inference(subst,[],[refute_0_2165:[bind(X_105,$fot(X_243)),bind(X_11,$fot(X_244)),bind(X_12,$fot(X))]]) ).
cnf(refute_0_2167,plain,
( add(X,multiply(multiply(X_243,X),X_244)) != X
| add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) != multiply(add(X,multiply(multiply(X_243,X),X_244)),add(Y,multiply(multiply(X_243,X),X_244)))
| add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(multiply(X_243,X),X_244)),multiply(add(X,multiply(multiply(X_243,X),X_244)),add(Y,multiply(multiply(X_243,X),X_244)))) ),[1,0],$fot(X)]]) ).
cnf(refute_0_2168,plain,
( add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) != multiply(add(X,multiply(multiply(X_243,X),X_244)),add(Y,multiply(multiply(X_243,X),X_244)))
| add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))) ),
inference(resolve,[$cnf( $equal(add(X,multiply(multiply(X_243,X),X_244)),X) )],[refute_0_2166,refute_0_2167]) ).
cnf(refute_0_2169,plain,
add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(multiply(X_243,X),X_244)),multiply(add(X,multiply(multiply(X_243,X),X_244)),add(Y,multiply(multiply(X_243,X),X_244)))) )],[refute_0_2152,refute_0_2168]) ).
cnf(refute_0_2170,plain,
add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) = multiply(add(X_10,multiply(multiply(X_243,X_10),X_244)),add(multiply(multiply(X_243,X_10),X_244),X_11)),
inference(subst,[],[refute_0_815:[bind(X_12,$fot(multiply(multiply(X_243,X_10),X_244)))]]) ).
cnf(refute_0_2171,plain,
add(X_10,multiply(multiply(X_243,X_10),X_244)) = X_10,
inference(subst,[],[refute_0_2165:[bind(X_105,$fot(X_243)),bind(X_11,$fot(X_244)),bind(X_12,$fot(X_10))]]) ).
cnf(refute_0_2172,plain,
( add(X_10,multiply(multiply(X_243,X_10),X_244)) != X_10
| add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) != multiply(add(X_10,multiply(multiply(X_243,X_10),X_244)),add(multiply(multiply(X_243,X_10),X_244),X_11))
| add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) = multiply(X_10,add(multiply(multiply(X_243,X_10),X_244),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)),multiply(add(X_10,multiply(multiply(X_243,X_10),X_244)),add(multiply(multiply(X_243,X_10),X_244),X_11))) ),[1,0],$fot(X_10)]]) ).
cnf(refute_0_2173,plain,
( add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) != multiply(add(X_10,multiply(multiply(X_243,X_10),X_244)),add(multiply(multiply(X_243,X_10),X_244),X_11))
| add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) = multiply(X_10,add(multiply(multiply(X_243,X_10),X_244),X_11)) ),
inference(resolve,[$cnf( $equal(add(X_10,multiply(multiply(X_243,X_10),X_244)),X_10) )],[refute_0_2171,refute_0_2172]) ).
cnf(refute_0_2174,plain,
add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)) = multiply(X_10,add(multiply(multiply(X_243,X_10),X_244),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),multiply(multiply(X_243,X_10),X_244)),multiply(add(X_10,multiply(multiply(X_243,X_10),X_244)),add(multiply(multiply(X_243,X_10),X_244),X_11))) )],[refute_0_2170,refute_0_2173]) ).
cnf(refute_0_2175,plain,
add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) = multiply(X,add(multiply(multiply(X_243,X),X_244),Y)),
inference(subst,[],[refute_0_2174:[bind(X_10,$fot(X)),bind(X_11,$fot(Y))]]) ).
cnf(refute_0_2176,plain,
( add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) != multiply(X,add(Y,multiply(multiply(X_243,X),X_244)))
| add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) != multiply(X,add(multiply(multiply(X_243,X),X_244),Y))
| multiply(X,add(multiply(multiply(X_243,X),X_244),Y)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X,Y),multiply(multiply(X_243,X),X_244)),multiply(X,add(Y,multiply(multiply(X_243,X),X_244)))) ),[0],$fot(multiply(X,add(multiply(multiply(X_243,X),X_244),Y)))]]) ).
cnf(refute_0_2177,plain,
( add(multiply(X,Y),multiply(multiply(X_243,X),X_244)) != multiply(X,add(Y,multiply(multiply(X_243,X),X_244)))
| multiply(X,add(multiply(multiply(X_243,X),X_244),Y)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))) ),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(multiply(X_243,X),X_244)),multiply(X,add(multiply(multiply(X_243,X),X_244),Y))) )],[refute_0_2175,refute_0_2176]) ).
cnf(refute_0_2178,plain,
multiply(X,add(multiply(multiply(X_243,X),X_244),Y)) = multiply(X,add(Y,multiply(multiply(X_243,X),X_244))),
inference(resolve,[$cnf( $equal(add(multiply(X,Y),multiply(multiply(X_243,X),X_244)),multiply(X,add(Y,multiply(multiply(X_243,X),X_244)))) )],[refute_0_2169,refute_0_2177]) ).
cnf(refute_0_2179,plain,
multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)) = multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),
inference(subst,[],[refute_0_2178:[bind(X,$fot(X_190)),bind(Y,$fot(X_188)),bind(X_243,$fot(X_188)),bind(X_244,$fot(Y))]]) ).
cnf(refute_0_2180,plain,
add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)),
inference(subst,[],[refute_0_2174:[bind(X_10,$fot(X_190)),bind(X_11,$fot(X_188)),bind(X_243,$fot(X_188)),bind(X_244,$fot(Y))]]) ).
cnf(refute_0_2181,plain,
( multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)) != multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) != multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188))
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)))),bind(Y0,$fot(multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)))),bind(Z0,$fot(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))))]]) ).
cnf(refute_0_2182,plain,
( multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)) != multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)),multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188))) )],[refute_0_2180,refute_0_2181]) ).
cnf(refute_0_2183,plain,
add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),
inference(resolve,[$cnf( $equal(multiply(X_190,add(multiply(multiply(X_188,X_190),Y),X_188)),multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))) )],[refute_0_2179,refute_0_2182]) ).
cnf(refute_0_2184,plain,
( multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) != multiply(X_190,X_188)
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) != multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,X_188) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)))),bind(Y0,$fot(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))))),bind(Z0,$fot(multiply(X_190,X_188)))]]) ).
cnf(refute_0_2185,plain,
( multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))) != multiply(X_190,X_188)
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,X_188) ),
inference(resolve,[$cnf( $equal(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)),multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y)))) )],[refute_0_2183,refute_0_2184]) ).
cnf(refute_0_2186,plain,
add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) = multiply(X_190,X_188),
inference(resolve,[$cnf( $equal(multiply(X_190,add(X_188,multiply(multiply(X_188,X_190),Y))),multiply(X_190,X_188)) )],[refute_0_2151,refute_0_2185]) ).
cnf(refute_0_2187,plain,
( multiply(X_188,X_190) != add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))
| add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)) != multiply(X_190,X_188)
| multiply(X_188,X_190) = multiply(X_190,X_188) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_188,X_190),multiply(X_190,X_188)) ),[0],$fot(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)))]]) ).
cnf(refute_0_2188,plain,
( multiply(X_188,X_190) != add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))
| multiply(X_188,X_190) = multiply(X_190,X_188) ),
inference(resolve,[$cnf( $equal(add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y)),multiply(X_190,X_188)) )],[refute_0_2186,refute_0_2187]) ).
cnf(refute_0_2189,plain,
multiply(X_188,X_190) = multiply(X_190,X_188),
inference(resolve,[$cnf( $equal(multiply(X_188,X_190),add(multiply(X_190,X_188),multiply(multiply(X_188,X_190),Y))) )],[refute_0_2117,refute_0_2188]) ).
cnf(refute_0_2190,plain,
( multiply(X_188,X_190) != multiply(X_190,X_188)
| multiply(X_190,X_188) = multiply(X_188,X_190) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_188,X_190))),bind(Y0,$fot(multiply(X_190,X_188)))]]) ).
cnf(refute_0_2191,plain,
multiply(X_190,X_188) = multiply(X_188,X_190),
inference(resolve,[$cnf( $equal(multiply(X_188,X_190),multiply(X_190,X_188)) )],[refute_0_2189,refute_0_2190]) ).
cnf(refute_0_2192,plain,
multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),
inference(subst,[],[refute_0_2191:[bind(X_188,$fot(inverse(X_10))),bind(X_190,$fot(inverse(multiply(inverse(X_10),add(X_10,X_104)))))]]) ).
cnf(refute_0_2193,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) != inverse(add(X_104,X_10))
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) != multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104))))
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_104,X_10)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)))),bind(Y0,$fot(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))))),bind(Z0,$fot(inverse(add(X_104,X_10))))]]) ).
cnf(refute_0_2194,plain,
( multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))) != inverse(add(X_104,X_10))
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_104,X_10)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)),multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104))))) )],[refute_0_2192,refute_0_2193]) ).
cnf(refute_0_2195,plain,
multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) = inverse(add(X_104,X_10)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_10),inverse(multiply(inverse(X_10),add(X_10,X_104)))),inverse(add(X_104,X_10))) )],[refute_0_2027,refute_0_2194]) ).
cnf(refute_0_2196,plain,
( multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) != inverse(add(X_10,X_104))
| multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) != inverse(add(X_104,X_10))
| inverse(add(X_104,X_10)) = inverse(add(X_10,X_104)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)),inverse(add(X_10,X_104))) ),[0],$fot(inverse(add(X_104,X_10)))]]) ).
cnf(refute_0_2197,plain,
( multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)) != inverse(add(X_10,X_104))
| inverse(add(X_104,X_10)) = inverse(add(X_10,X_104)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)),inverse(add(X_104,X_10))) )],[refute_0_2195,refute_0_2196]) ).
cnf(refute_0_2198,plain,
inverse(add(X_104,X_10)) = inverse(add(X_10,X_104)),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_10),add(X_10,X_104))),inverse(X_10)),inverse(add(X_10,X_104))) )],[refute_0_2003,refute_0_2197]) ).
cnf(refute_0_2199,plain,
( inverse(add(X_104,X_10)) != inverse(add(X_10,X_104))
| inverse(add(X_10,X_104)) = inverse(add(X_104,X_10)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_104,X_10)))),bind(Y0,$fot(inverse(add(X_10,X_104))))]]) ).
cnf(refute_0_2200,plain,
inverse(add(X_10,X_104)) = inverse(add(X_104,X_10)),
inference(resolve,[$cnf( $equal(inverse(add(X_104,X_10)),inverse(add(X_10,X_104))) )],[refute_0_2198,refute_0_2199]) ).
cnf(refute_0_2201,plain,
inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))) = inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),
inference(subst,[],[refute_0_2200:[bind(X_10,$fot(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),bind(X_104,$fot(add(X_100,X_99)))]]) ).
cnf(refute_0_2202,plain,
multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))),
inference(subst,[],[refute_0_1286:[bind(X_226,$fot(inverse(X_56))),bind(X_227,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_2203,plain,
( multiply(inverse(X_56),add(X_56,X_57)) != multiply(X_57,inverse(X_56))
| multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))),multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))) ),[0,1,0],$fot(multiply(X_57,inverse(X_56)))]]) ).
cnf(refute_0_2204,plain,
( multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),add(X_56,X_57)),multiply(X_57,inverse(X_56))) )],[refute_0_21,refute_0_2203]) ).
cnf(refute_0_2205,plain,
multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))),multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))) )],[refute_0_2202,refute_0_2204]) ).
cnf(refute_0_2206,plain,
inverse(add(X_57,inverse(inverse(X_56)))) = multiply(inverse(X_56),inverse(X_57)),
inference(subst,[],[refute_0_1420:[bind(X_312,$fot(inverse(X_56))),bind(X_313,$fot(X_57))]]) ).
cnf(refute_0_2207,plain,
multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = inverse(add(X_57,inverse(inverse(X_56)))),
inference(subst,[],[refute_0_1242:[bind(X_302,$fot(X_57)),bind(X_303,$fot(inverse(X_56)))]]) ).
cnf(refute_0_2208,plain,
( multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) != inverse(add(X_57,inverse(inverse(X_56))))
| inverse(add(X_57,inverse(inverse(X_56)))) != multiply(inverse(X_56),inverse(X_57))
| multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(X_56),inverse(X_57)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))))),bind(Y0,$fot(inverse(add(X_57,inverse(inverse(X_56)))))),bind(Z0,$fot(multiply(inverse(X_56),inverse(X_57))))]]) ).
cnf(refute_0_2209,plain,
( inverse(add(X_57,inverse(inverse(X_56)))) != multiply(inverse(X_56),inverse(X_57))
| multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(X_56),inverse(X_57)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))),inverse(add(X_57,inverse(inverse(X_56))))) )],[refute_0_2207,refute_0_2208]) ).
cnf(refute_0_2210,plain,
multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) = multiply(inverse(X_56),inverse(X_57)),
inference(resolve,[$cnf( $equal(inverse(add(X_57,inverse(inverse(X_56)))),multiply(inverse(X_56),inverse(X_57))) )],[refute_0_2206,refute_0_2209]) ).
cnf(refute_0_2211,plain,
( multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) != multiply(inverse(X_56),inverse(X_57))
| multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(X_57)) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))),multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))) ),[0],$fot(multiply(inverse(X_56),inverse(X_57)))]]) ).
cnf(refute_0_2212,plain,
( multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(X_57)) = multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))),multiply(inverse(X_56),inverse(X_57))) )],[refute_0_2210,refute_0_2211]) ).
cnf(refute_0_2213,plain,
multiply(inverse(add(X_97,X_98)),add(inverse(X_98),add(X_97,X_98))) = multiply(inverse(X_98),inverse(add(X_97,X_98))),
inference(subst,[],[refute_0_60:[bind(X_56,$fot(inverse(X_98))),bind(X_57,$fot(add(X_97,X_98)))]]) ).
cnf(refute_0_2214,plain,
multiplicative_identity = add(inverse(X_98),add(X_97,X_98)),
inference(subst,[],[refute_0_1620:[bind(X_10,$fot(X_97)),bind(X_42,$fot(X_98))]]) ).
cnf(refute_0_2215,plain,
( multiplicative_identity != add(inverse(X_98),add(X_97,X_98))
| add(inverse(X_98),add(X_97,X_98)) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(inverse(X_98),add(X_97,X_98))))]]) ).
cnf(refute_0_2216,plain,
add(inverse(X_98),add(X_97,X_98)) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(X_98),add(X_97,X_98))) )],[refute_0_2214,refute_0_2215]) ).
cnf(refute_0_2217,plain,
( multiply(inverse(add(X_97,X_98)),add(inverse(X_98),add(X_97,X_98))) != multiply(inverse(X_98),inverse(add(X_97,X_98)))
| add(inverse(X_98),add(X_97,X_98)) != multiplicative_identity
| multiply(inverse(add(X_97,X_98)),multiplicative_identity) = multiply(inverse(X_98),inverse(add(X_97,X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_97,X_98)),add(inverse(X_98),add(X_97,X_98))),multiply(inverse(X_98),inverse(add(X_97,X_98)))) ),[0,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2218,plain,
( multiply(inverse(add(X_97,X_98)),add(inverse(X_98),add(X_97,X_98))) != multiply(inverse(X_98),inverse(add(X_97,X_98)))
| multiply(inverse(add(X_97,X_98)),multiplicative_identity) = multiply(inverse(X_98),inverse(add(X_97,X_98))) ),
inference(resolve,[$cnf( $equal(add(inverse(X_98),add(X_97,X_98)),multiplicative_identity) )],[refute_0_2216,refute_0_2217]) ).
cnf(refute_0_2219,plain,
multiply(inverse(add(X_97,X_98)),multiplicative_identity) = multiply(inverse(X_98),inverse(add(X_97,X_98))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_97,X_98)),add(inverse(X_98),add(X_97,X_98))),multiply(inverse(X_98),inverse(add(X_97,X_98)))) )],[refute_0_2213,refute_0_2218]) ).
cnf(refute_0_2220,plain,
multiply(inverse(add(X_97,X_98)),multiplicative_identity) = inverse(add(X_97,X_98)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(inverse(add(X_97,X_98))))]]) ).
cnf(refute_0_2221,plain,
( multiply(inverse(add(X_97,X_98)),multiplicative_identity) != multiply(inverse(X_98),inverse(add(X_97,X_98)))
| multiply(inverse(add(X_97,X_98)),multiplicative_identity) != inverse(add(X_97,X_98))
| inverse(add(X_97,X_98)) = multiply(inverse(X_98),inverse(add(X_97,X_98))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_97,X_98)),multiplicative_identity),multiply(inverse(X_98),inverse(add(X_97,X_98)))) ),[0],$fot(inverse(add(X_97,X_98)))]]) ).
cnf(refute_0_2222,plain,
( multiply(inverse(add(X_97,X_98)),multiplicative_identity) != multiply(inverse(X_98),inverse(add(X_97,X_98)))
| inverse(add(X_97,X_98)) = multiply(inverse(X_98),inverse(add(X_97,X_98))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_97,X_98)),multiplicative_identity),inverse(add(X_97,X_98))) )],[refute_0_2220,refute_0_2221]) ).
cnf(refute_0_2223,plain,
inverse(add(X_97,X_98)) = multiply(inverse(X_98),inverse(add(X_97,X_98))),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_97,X_98)),multiplicative_identity),multiply(inverse(X_98),inverse(add(X_97,X_98)))) )],[refute_0_2219,refute_0_2222]) ).
cnf(refute_0_2224,plain,
inverse(add(X_113,X_114)) = multiply(inverse(X_114),inverse(add(X_113,X_114))),
inference(subst,[],[refute_0_2223:[bind(X_97,$fot(X_113)),bind(X_98,$fot(X_114))]]) ).
cnf(refute_0_2225,plain,
add(X_114,X_113) = add(X_113,X_114),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_114)),bind(Y,$fot(X_113))]]) ).
cnf(refute_0_2226,plain,
( add(X_114,X_113) != add(X_113,X_114)
| add(X_113,X_114) = add(X_114,X_113) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_114,X_113))),bind(Y0,$fot(add(X_113,X_114)))]]) ).
cnf(refute_0_2227,plain,
add(X_113,X_114) = add(X_114,X_113),
inference(resolve,[$cnf( $equal(add(X_114,X_113),add(X_113,X_114)) )],[refute_0_2225,refute_0_2226]) ).
cnf(refute_0_2228,plain,
( add(X_113,X_114) != add(X_114,X_113)
| inverse(add(X_113,X_114)) != multiply(inverse(X_114),inverse(add(X_113,X_114)))
| inverse(add(X_113,X_114)) = multiply(inverse(X_114),inverse(add(X_114,X_113))) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_113,X_114)),multiply(inverse(X_114),inverse(add(X_113,X_114)))) ),[1,1,0],$fot(add(X_114,X_113))]]) ).
cnf(refute_0_2229,plain,
( inverse(add(X_113,X_114)) != multiply(inverse(X_114),inverse(add(X_113,X_114)))
| inverse(add(X_113,X_114)) = multiply(inverse(X_114),inverse(add(X_114,X_113))) ),
inference(resolve,[$cnf( $equal(add(X_113,X_114),add(X_114,X_113)) )],[refute_0_2227,refute_0_2228]) ).
cnf(refute_0_2230,plain,
inverse(add(X_113,X_114)) = multiply(inverse(X_114),inverse(add(X_114,X_113))),
inference(resolve,[$cnf( $equal(inverse(add(X_113,X_114)),multiply(inverse(X_114),inverse(add(X_113,X_114)))) )],[refute_0_2224,refute_0_2229]) ).
cnf(refute_0_2231,plain,
( inverse(add(X_113,X_114)) != multiply(inverse(X_114),inverse(add(X_114,X_113)))
| multiply(inverse(X_114),inverse(add(X_114,X_113))) = inverse(add(X_113,X_114)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_113,X_114)))),bind(Y0,$fot(multiply(inverse(X_114),inverse(add(X_114,X_113)))))]]) ).
cnf(refute_0_2232,plain,
multiply(inverse(X_114),inverse(add(X_114,X_113))) = inverse(add(X_113,X_114)),
inference(resolve,[$cnf( $equal(inverse(add(X_113,X_114)),multiply(inverse(X_114),inverse(add(X_114,X_113)))) )],[refute_0_2230,refute_0_2231]) ).
cnf(refute_0_2233,plain,
multiply(inverse(X_56),inverse(add(X_56,X_57))) = inverse(add(X_57,X_56)),
inference(subst,[],[refute_0_2232:[bind(X_113,$fot(X_57)),bind(X_114,$fot(X_56))]]) ).
cnf(refute_0_2234,plain,
inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) = multiply(inverse(X_56),inverse(add(X_56,X_57))),
inference(subst,[],[refute_0_1420:[bind(X_312,$fot(inverse(X_56))),bind(X_313,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_2235,plain,
( multiply(inverse(X_56),inverse(add(X_56,X_57))) != inverse(add(X_57,X_56))
| inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) != multiply(inverse(X_56),inverse(add(X_56,X_57)))
| inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) = inverse(add(X_57,X_56)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(inverse(add(add(X_56,X_57),inverse(inverse(X_56)))))),bind(Y0,$fot(multiply(inverse(X_56),inverse(add(X_56,X_57))))),bind(Z0,$fot(inverse(add(X_57,X_56))))]]) ).
cnf(refute_0_2236,plain,
( multiply(inverse(X_56),inverse(add(X_56,X_57))) != inverse(add(X_57,X_56))
| inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) = inverse(add(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_56,X_57),inverse(inverse(X_56)))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) )],[refute_0_2234,refute_0_2235]) ).
cnf(refute_0_2237,plain,
inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) = inverse(add(X_57,X_56)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(add(X_56,X_57))),inverse(add(X_57,X_56))) )],[refute_0_2233,refute_0_2236]) ).
cnf(refute_0_2238,plain,
multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) = inverse(add(add(X_56,X_57),inverse(inverse(X_56)))),
inference(subst,[],[refute_0_1394:[bind(X_312,$fot(inverse(X_56))),bind(X_313,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_2239,plain,
( multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) != inverse(add(add(X_56,X_57),inverse(inverse(X_56))))
| inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) != inverse(add(X_57,X_56))
| multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) = inverse(add(X_57,X_56)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))))),bind(Y0,$fot(inverse(add(add(X_56,X_57),inverse(inverse(X_56)))))),bind(Z0,$fot(inverse(add(X_57,X_56))))]]) ).
cnf(refute_0_2240,plain,
( inverse(add(add(X_56,X_57),inverse(inverse(X_56)))) != inverse(add(X_57,X_56))
| multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) = inverse(add(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))),inverse(add(add(X_56,X_57),inverse(inverse(X_56))))) )],[refute_0_2238,refute_0_2239]) ).
cnf(refute_0_2241,plain,
multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) = inverse(add(X_57,X_56)),
inference(resolve,[$cnf( $equal(inverse(add(add(X_56,X_57),inverse(inverse(X_56)))),inverse(add(X_57,X_56))) )],[refute_0_2237,refute_0_2240]) ).
cnf(refute_0_2242,plain,
( multiply(X_226,inverse(multiply(X_226,X_227))) != multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))
| multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))) = multiply(X_226,inverse(multiply(X_226,X_227))) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_226,inverse(multiply(X_226,X_227))))),bind(Y0,$fot(multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))))]]) ).
cnf(refute_0_2243,plain,
multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227))) = multiply(X_226,inverse(multiply(X_226,X_227))),
inference(resolve,[$cnf( $equal(multiply(X_226,inverse(multiply(X_226,X_227))),multiply(inverse(multiply(X_226,X_227)),multiply(X_226,inverse(X_227)))) )],[refute_0_1286,refute_0_2242]) ).
cnf(refute_0_2244,plain,
multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) = multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))),
inference(subst,[],[refute_0_2243:[bind(X_226,$fot(inverse(X_56))),bind(X_227,$fot(add(X_56,X_57)))]]) ).
cnf(refute_0_2245,plain,
( multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) != inverse(add(X_57,X_56))
| multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) != multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57))))
| multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) = inverse(add(X_57,X_56)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))))),bind(Y0,$fot(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))))),bind(Z0,$fot(inverse(add(X_57,X_56))))]]) ).
cnf(refute_0_2246,plain,
( multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))) != inverse(add(X_57,X_56))
| multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) = inverse(add(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))),multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57))))) )],[refute_0_2244,refute_0_2245]) ).
cnf(refute_0_2247,plain,
multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) = inverse(add(X_57,X_56)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(inverse(X_56),add(X_56,X_57)))),inverse(add(X_57,X_56))) )],[refute_0_2241,refute_0_2246]) ).
cnf(refute_0_2248,plain,
( multiply(inverse(X_56),inverse(X_57)) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))) != inverse(add(X_57,X_56))
| multiply(inverse(X_56),inverse(X_57)) = inverse(add(X_57,X_56)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(inverse(X_56),inverse(X_57)),inverse(add(X_57,X_56))) ),[0],$fot(multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))))]]) ).
cnf(refute_0_2249,plain,
( multiply(inverse(X_56),inverse(X_57)) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(X_57)) = inverse(add(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57)))),inverse(add(X_57,X_56))) )],[refute_0_2247,refute_0_2248]) ).
cnf(refute_0_2250,plain,
( multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))) != multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))
| multiply(inverse(X_56),inverse(X_57)) = inverse(add(X_57,X_56)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(X_57)),multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))) )],[refute_0_2212,refute_0_2249]) ).
cnf(refute_0_2251,plain,
multiply(inverse(X_56),inverse(X_57)) = inverse(add(X_57,X_56)),
inference(resolve,[$cnf( $equal(multiply(inverse(X_56),inverse(multiply(X_57,inverse(X_56)))),multiply(inverse(multiply(inverse(X_56),add(X_56,X_57))),multiply(inverse(X_56),inverse(add(X_56,X_57))))) )],[refute_0_2205,refute_0_2250]) ).
cnf(refute_0_2252,plain,
multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))),
inference(subst,[],[refute_0_2251:[bind(X_56,$fot(add(X_100,X_99))),bind(X_57,$fot(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))]]) ).
cnf(refute_0_2253,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99)))
| inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))) != inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))),bind(Y0,$fot(inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))))),bind(Z0,$fot(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))))]]) ).
cnf(refute_0_2254,plain,
( inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))) != inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99)))) )],[refute_0_2252,refute_0_2253]) ).
cnf(refute_0_2255,plain,
multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),
inference(resolve,[$cnf( $equal(inverse(add(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)),add(X_100,X_99))),inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) )],[refute_0_2201,refute_0_2254]) ).
cnf(refute_0_2256,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(X_100,X_99))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))),bind(Y0,$fot(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))),bind(Z0,$fot(inverse(add(X_100,X_99))))]]) ).
cnf(refute_0_2257,plain,
( inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(X_100,X_99))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) )],[refute_0_2255,refute_0_2256]) ).
cnf(refute_0_2258,plain,
multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_100,X_99)),
inference(resolve,[$cnf( $equal(inverse(add(add(X_100,X_99),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(X_100,X_99))) )],[refute_0_1957,refute_0_2257]) ).
cnf(refute_0_2259,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))
| multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(X_100,X_99))
| inverse(add(X_100,X_99)) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))) ),[0],$fot(inverse(add(X_100,X_99)))]]) ).
cnf(refute_0_2260,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))
| inverse(add(X_100,X_99)) = multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(X_100,X_99))) )],[refute_0_2258,refute_0_2259]) ).
cnf(refute_0_2261,plain,
( add(X_62,X_63) != add(X_63,add(X_62,X_63))
| add(X_63,add(X_62,X_63)) = add(X_62,X_63) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_62,X_63))),bind(Y0,$fot(add(X_63,add(X_62,X_63))))]]) ).
cnf(refute_0_2262,plain,
add(X_63,add(X_62,X_63)) = add(X_62,X_63),
inference(resolve,[$cnf( $equal(add(X_62,X_63),add(X_63,add(X_62,X_63))) )],[refute_0_755,refute_0_2261]) ).
cnf(refute_0_2263,plain,
add(X_100,add(X_99,X_100)) = add(X_99,X_100),
inference(subst,[],[refute_0_2262:[bind(X_62,$fot(X_99)),bind(X_63,$fot(X_100))]]) ).
cnf(refute_0_2264,plain,
multiply(add(X_56,X_57),add(X_13,X_57)) = add(multiply(X_56,add(X_13,X_57)),multiply(X_57,add(X_13,X_57))),
inference(subst,[],[distributivity3:[bind(X,$fot(X_56)),bind(Y,$fot(X_57)),bind(Z,$fot(add(X_13,X_57)))]]) ).
cnf(refute_0_2265,plain,
add(X_57,multiply(X_13,additive_identity)) = multiply(X_57,add(X_13,X_57)),
inference(subst,[],[refute_0_240:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_2266,plain,
( add(X_57,multiply(X_13,additive_identity)) != multiply(X_57,add(X_13,X_57))
| multiply(X_57,add(X_13,X_57)) = add(X_57,multiply(X_13,additive_identity)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_57,multiply(X_13,additive_identity)))),bind(Y0,$fot(multiply(X_57,add(X_13,X_57))))]]) ).
cnf(refute_0_2267,plain,
multiply(X_57,add(X_13,X_57)) = add(X_57,multiply(X_13,additive_identity)),
inference(resolve,[$cnf( $equal(add(X_57,multiply(X_13,additive_identity)),multiply(X_57,add(X_13,X_57))) )],[refute_0_2265,refute_0_2266]) ).
cnf(refute_0_2268,plain,
( multiply(X_57,add(X_13,X_57)) != add(X_57,multiply(X_13,additive_identity))
| multiply(add(X_56,X_57),add(X_13,X_57)) != add(multiply(X_56,add(X_13,X_57)),multiply(X_57,add(X_13,X_57)))
| multiply(add(X_56,X_57),add(X_13,X_57)) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_13,X_57)),add(multiply(X_56,add(X_13,X_57)),multiply(X_57,add(X_13,X_57)))) ),[1,1],$fot(add(X_57,multiply(X_13,additive_identity)))]]) ).
cnf(refute_0_2269,plain,
( multiply(add(X_56,X_57),add(X_13,X_57)) != add(multiply(X_56,add(X_13,X_57)),multiply(X_57,add(X_13,X_57)))
| multiply(add(X_56,X_57),add(X_13,X_57)) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(X_57,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) )],[refute_0_2267,refute_0_2268]) ).
cnf(refute_0_2270,plain,
multiply(add(X_56,X_57),add(X_13,X_57)) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_13,X_57)),add(multiply(X_56,add(X_13,X_57)),multiply(X_57,add(X_13,X_57)))) )],[refute_0_2264,refute_0_2269]) ).
cnf(refute_0_2271,plain,
multiply(add(X_56,X_57),add(X_13,X_57)) = add(multiply(X_56,X_13),X_57),
inference(subst,[],[refute_0_1130:[bind(X,$fot(X_56)),bind(Y,$fot(X_13)),bind(Z,$fot(X_57))]]) ).
cnf(refute_0_2272,plain,
( multiply(add(X_56,X_57),add(X_13,X_57)) != add(multiply(X_56,X_13),X_57)
| multiply(add(X_56,X_57),add(X_13,X_57)) != add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))
| add(multiply(X_56,X_13),X_57) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X_56,X_57),add(X_13,X_57)),add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))) ),[0],$fot(add(multiply(X_56,X_13),X_57))]]) ).
cnf(refute_0_2273,plain,
( multiply(add(X_56,X_57),add(X_13,X_57)) != add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))
| add(multiply(X_56,X_13),X_57) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) ),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_13,X_57)),add(multiply(X_56,X_13),X_57)) )],[refute_0_2271,refute_0_2272]) ).
cnf(refute_0_2274,plain,
add(multiply(X_56,X_13),X_57) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),
inference(resolve,[$cnf( $equal(multiply(add(X_56,X_57),add(X_13,X_57)),add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))) )],[refute_0_2270,refute_0_2273]) ).
cnf(refute_0_2275,plain,
add(multiply(X_56,add(X_13,X_57)),X_57) = add(X_57,multiply(X_56,add(X_13,X_57))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(multiply(X_56,add(X_13,X_57)))),bind(X_55,$fot(X_57))]]) ).
cnf(refute_0_2276,plain,
add(X_57,additive_identity) = X_57,
inference(subst,[],[additive_id1:[bind(X,$fot(X_57))]]) ).
cnf(refute_0_2277,plain,
add(X_57,multiply(X_13,additive_identity)) = add(X_57,multiply(X_13,additive_identity)),
introduced(tautology,[refl,[$fot(add(X_57,multiply(X_13,additive_identity)))]]) ).
cnf(refute_0_2278,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(X_57,multiply(X_13,additive_identity)) != add(X_57,multiply(X_13,additive_identity))
| add(X_57,multiply(X_13,additive_identity)) = add(X_57,additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_57,multiply(X_13,additive_identity)),add(X_57,multiply(X_13,additive_identity))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2279,plain,
( multiply(X_13,additive_identity) != additive_identity
| add(X_57,multiply(X_13,additive_identity)) = add(X_57,additive_identity) ),
inference(resolve,[$cnf( $equal(add(X_57,multiply(X_13,additive_identity)),add(X_57,multiply(X_13,additive_identity))) )],[refute_0_2277,refute_0_2278]) ).
cnf(refute_0_2280,plain,
add(X_57,multiply(X_13,additive_identity)) = add(X_57,additive_identity),
inference(resolve,[$cnf( $equal(multiply(X_13,additive_identity),additive_identity) )],[refute_0_854,refute_0_2279]) ).
cnf(refute_0_2281,plain,
( add(X_57,multiply(X_13,additive_identity)) != add(X_57,additive_identity)
| add(X_57,additive_identity) != X_57
| add(X_57,multiply(X_13,additive_identity)) = X_57 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(X_57,multiply(X_13,additive_identity)))),bind(Y0,$fot(add(X_57,additive_identity))),bind(Z0,$fot(X_57))]]) ).
cnf(refute_0_2282,plain,
( add(X_57,additive_identity) != X_57
| add(X_57,multiply(X_13,additive_identity)) = X_57 ),
inference(resolve,[$cnf( $equal(add(X_57,multiply(X_13,additive_identity)),add(X_57,additive_identity)) )],[refute_0_2280,refute_0_2281]) ).
cnf(refute_0_2283,plain,
add(X_57,multiply(X_13,additive_identity)) = X_57,
inference(resolve,[$cnf( $equal(add(X_57,additive_identity),X_57) )],[refute_0_2276,refute_0_2282]) ).
cnf(refute_0_2284,plain,
add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),
introduced(tautology,[refl,[$fot(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))))]]) ).
cnf(refute_0_2285,plain,
( add(X_57,multiply(X_13,additive_identity)) != X_57
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) != add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(multiply(X_56,add(X_13,X_57)),X_57) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))) ),[1,1],$fot(X_57)]]) ).
cnf(refute_0_2286,plain,
( add(X_57,multiply(X_13,additive_identity)) != X_57
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(multiply(X_56,add(X_13,X_57)),X_57) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))) )],[refute_0_2284,refute_0_2285]) ).
cnf(refute_0_2287,plain,
add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(multiply(X_56,add(X_13,X_57)),X_57),
inference(resolve,[$cnf( $equal(add(X_57,multiply(X_13,additive_identity)),X_57) )],[refute_0_2283,refute_0_2286]) ).
cnf(refute_0_2288,plain,
( add(multiply(X_56,add(X_13,X_57)),X_57) != add(X_57,multiply(X_56,add(X_13,X_57)))
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) != add(multiply(X_56,add(X_13,X_57)),X_57)
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(X_57,multiply(X_56,add(X_13,X_57))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))))),bind(Y0,$fot(add(multiply(X_56,add(X_13,X_57)),X_57))),bind(Z0,$fot(add(X_57,multiply(X_56,add(X_13,X_57)))))]]) ).
cnf(refute_0_2289,plain,
( add(multiply(X_56,add(X_13,X_57)),X_57) != add(X_57,multiply(X_56,add(X_13,X_57)))
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(X_57,multiply(X_56,add(X_13,X_57))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),add(multiply(X_56,add(X_13,X_57)),X_57)) )],[refute_0_2287,refute_0_2288]) ).
cnf(refute_0_2290,plain,
add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) = add(X_57,multiply(X_56,add(X_13,X_57))),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_13,X_57)),X_57),add(X_57,multiply(X_56,add(X_13,X_57)))) )],[refute_0_2275,refute_0_2289]) ).
cnf(refute_0_2291,plain,
( add(multiply(X_56,X_13),X_57) != add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))
| add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))) != add(X_57,multiply(X_56,add(X_13,X_57)))
| add(multiply(X_56,X_13),X_57) = add(X_57,multiply(X_56,add(X_13,X_57))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(add(multiply(X_56,X_13),X_57),add(X_57,multiply(X_56,add(X_13,X_57)))) ),[0],$fot(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))))]]) ).
cnf(refute_0_2292,plain,
( add(multiply(X_56,X_13),X_57) != add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))
| add(multiply(X_56,X_13),X_57) = add(X_57,multiply(X_56,add(X_13,X_57))) ),
inference(resolve,[$cnf( $equal(add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity))),add(X_57,multiply(X_56,add(X_13,X_57)))) )],[refute_0_2290,refute_0_2291]) ).
cnf(refute_0_2293,plain,
add(multiply(X_56,X_13),X_57) = add(X_57,multiply(X_56,add(X_13,X_57))),
inference(resolve,[$cnf( $equal(add(multiply(X_56,X_13),X_57),add(multiply(X_56,add(X_13,X_57)),add(X_57,multiply(X_13,additive_identity)))) )],[refute_0_2274,refute_0_2292]) ).
cnf(refute_0_2294,plain,
add(multiply(add(X_10,X_215),X_215),X_217) = add(X_217,multiply(add(X_10,X_215),add(X_215,X_217))),
inference(subst,[],[refute_0_2293:[bind(X_13,$fot(X_215)),bind(X_56,$fot(add(X_10,X_215))),bind(X_57,$fot(X_217))]]) ).
cnf(refute_0_2295,plain,
add(multiply(X_10,X_217),X_215) = multiply(add(X_10,X_215),add(X_215,X_217)),
inference(subst,[],[refute_0_815:[bind(X_11,$fot(X_217)),bind(X_12,$fot(X_215))]]) ).
cnf(refute_0_2296,plain,
( add(multiply(X_10,X_217),X_215) != multiply(add(X_10,X_215),add(X_215,X_217))
| multiply(add(X_10,X_215),add(X_215,X_217)) = add(multiply(X_10,X_217),X_215) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(multiply(X_10,X_217),X_215))),bind(Y0,$fot(multiply(add(X_10,X_215),add(X_215,X_217))))]]) ).
cnf(refute_0_2297,plain,
multiply(add(X_10,X_215),add(X_215,X_217)) = add(multiply(X_10,X_217),X_215),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_217),X_215),multiply(add(X_10,X_215),add(X_215,X_217))) )],[refute_0_2295,refute_0_2296]) ).
cnf(refute_0_2298,plain,
( multiply(add(X_10,X_215),add(X_215,X_217)) != add(multiply(X_10,X_217),X_215)
| add(multiply(add(X_10,X_215),X_215),X_217) != add(X_217,multiply(add(X_10,X_215),add(X_215,X_217)))
| add(multiply(add(X_10,X_215),X_215),X_217) = add(X_217,add(multiply(X_10,X_217),X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(X_217,multiply(add(X_10,X_215),add(X_215,X_217)))) ),[1,1],$fot(add(multiply(X_10,X_217),X_215))]]) ).
cnf(refute_0_2299,plain,
( add(multiply(add(X_10,X_215),X_215),X_217) != add(X_217,multiply(add(X_10,X_215),add(X_215,X_217)))
| add(multiply(add(X_10,X_215),X_215),X_217) = add(X_217,add(multiply(X_10,X_217),X_215)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_215),add(X_215,X_217)),add(multiply(X_10,X_217),X_215)) )],[refute_0_2297,refute_0_2298]) ).
cnf(refute_0_2300,plain,
add(multiply(add(X_10,X_215),X_215),X_217) = add(X_217,add(multiply(X_10,X_217),X_215)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(X_217,multiply(add(X_10,X_215),add(X_215,X_217)))) )],[refute_0_2294,refute_0_2299]) ).
cnf(refute_0_2301,plain,
multiply(X_215,add(X_10,X_215)) = X_215,
inference(subst,[],[refute_0_663:[bind(X_23,$fot(X_215)),bind(X_56,$fot(X_10))]]) ).
cnf(refute_0_2302,plain,
add(multiply(X_215,add(X_10,X_215)),X_217) = add(multiply(X_215,add(X_10,X_215)),X_217),
introduced(tautology,[refl,[$fot(add(multiply(X_215,add(X_10,X_215)),X_217))]]) ).
cnf(refute_0_2303,plain,
( multiply(X_215,add(X_10,X_215)) != X_215
| add(multiply(X_215,add(X_10,X_215)),X_217) != add(multiply(X_215,add(X_10,X_215)),X_217)
| add(multiply(X_215,add(X_10,X_215)),X_217) = add(X_215,X_217) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_215,add(X_10,X_215)),X_217),add(multiply(X_215,add(X_10,X_215)),X_217)) ),[1,0],$fot(X_215)]]) ).
cnf(refute_0_2304,plain,
( multiply(X_215,add(X_10,X_215)) != X_215
| add(multiply(X_215,add(X_10,X_215)),X_217) = add(X_215,X_217) ),
inference(resolve,[$cnf( $equal(add(multiply(X_215,add(X_10,X_215)),X_217),add(multiply(X_215,add(X_10,X_215)),X_217)) )],[refute_0_2302,refute_0_2303]) ).
cnf(refute_0_2305,plain,
add(multiply(X_215,add(X_10,X_215)),X_217) = add(X_215,X_217),
inference(resolve,[$cnf( $equal(multiply(X_215,add(X_10,X_215)),X_215) )],[refute_0_2301,refute_0_2304]) ).
cnf(refute_0_2306,plain,
add(multiply(add(X_10,X_215),X_215),X_217) = add(multiply(X_215,add(X_10,X_215)),X_217),
inference(subst,[],[refute_0_1337:[bind(X_10,$fot(add(X_10,X_215))),bind(X_11,$fot(X_215)),bind(X_12,$fot(X_217))]]) ).
cnf(refute_0_2307,plain,
( add(multiply(X_215,add(X_10,X_215)),X_217) != add(X_215,X_217)
| add(multiply(add(X_10,X_215),X_215),X_217) != add(multiply(X_215,add(X_10,X_215)),X_217)
| add(multiply(add(X_10,X_215),X_215),X_217) = add(X_215,X_217) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(add(X_10,X_215),X_215),X_217))),bind(Y0,$fot(add(multiply(X_215,add(X_10,X_215)),X_217))),bind(Z0,$fot(add(X_215,X_217)))]]) ).
cnf(refute_0_2308,plain,
( add(multiply(X_215,add(X_10,X_215)),X_217) != add(X_215,X_217)
| add(multiply(add(X_10,X_215),X_215),X_217) = add(X_215,X_217) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(multiply(X_215,add(X_10,X_215)),X_217)) )],[refute_0_2306,refute_0_2307]) ).
cnf(refute_0_2309,plain,
add(multiply(add(X_10,X_215),X_215),X_217) = add(X_215,X_217),
inference(resolve,[$cnf( $equal(add(multiply(X_215,add(X_10,X_215)),X_217),add(X_215,X_217)) )],[refute_0_2305,refute_0_2308]) ).
cnf(refute_0_2310,plain,
( add(multiply(add(X_10,X_215),X_215),X_217) != add(X_215,X_217)
| add(multiply(add(X_10,X_215),X_215),X_217) != add(X_217,add(multiply(X_10,X_217),X_215))
| add(X_215,X_217) = add(X_217,add(multiply(X_10,X_217),X_215)) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(X_217,add(multiply(X_10,X_217),X_215))) ),[0],$fot(add(X_215,X_217))]]) ).
cnf(refute_0_2311,plain,
( add(multiply(add(X_10,X_215),X_215),X_217) != add(X_217,add(multiply(X_10,X_217),X_215))
| add(X_215,X_217) = add(X_217,add(multiply(X_10,X_217),X_215)) ),
inference(resolve,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(X_215,X_217)) )],[refute_0_2309,refute_0_2310]) ).
cnf(refute_0_2312,plain,
add(X_215,X_217) = add(X_217,add(multiply(X_10,X_217),X_215)),
inference(resolve,[$cnf( $equal(add(multiply(add(X_10,X_215),X_215),X_217),add(X_217,add(multiply(X_10,X_217),X_215))) )],[refute_0_2300,refute_0_2311]) ).
cnf(refute_0_2313,plain,
add(X_241,add(X_240,X_56)) = add(add(X_240,X_56),add(multiply(X_240,add(X_240,X_56)),X_241)),
inference(subst,[],[refute_0_2312:[bind(X_10,$fot(X_240)),bind(X_215,$fot(X_241)),bind(X_217,$fot(add(X_240,X_56)))]]) ).
cnf(refute_0_2314,plain,
X_240 = multiply(X_240,add(X_240,X_56)),
inference(subst,[],[refute_0_162:[bind(X_58,$fot(X_240))]]) ).
cnf(refute_0_2315,plain,
( X_240 != multiply(X_240,add(X_240,X_56))
| multiply(X_240,add(X_240,X_56)) = X_240 ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(X_240)),bind(Y0,$fot(multiply(X_240,add(X_240,X_56))))]]) ).
cnf(refute_0_2316,plain,
multiply(X_240,add(X_240,X_56)) = X_240,
inference(resolve,[$cnf( $equal(X_240,multiply(X_240,add(X_240,X_56))) )],[refute_0_2314,refute_0_2315]) ).
cnf(refute_0_2317,plain,
( multiply(X_240,add(X_240,X_56)) != X_240
| add(X_241,add(X_240,X_56)) != add(add(X_240,X_56),add(multiply(X_240,add(X_240,X_56)),X_241))
| add(X_241,add(X_240,X_56)) = add(add(X_240,X_56),add(X_240,X_241)) ),
introduced(tautology,[equality,[$cnf( $equal(add(X_241,add(X_240,X_56)),add(add(X_240,X_56),add(multiply(X_240,add(X_240,X_56)),X_241))) ),[1,1,0],$fot(X_240)]]) ).
cnf(refute_0_2318,plain,
( add(X_241,add(X_240,X_56)) != add(add(X_240,X_56),add(multiply(X_240,add(X_240,X_56)),X_241))
| add(X_241,add(X_240,X_56)) = add(add(X_240,X_56),add(X_240,X_241)) ),
inference(resolve,[$cnf( $equal(multiply(X_240,add(X_240,X_56)),X_240) )],[refute_0_2316,refute_0_2317]) ).
cnf(refute_0_2319,plain,
add(X_241,add(X_240,X_56)) = add(add(X_240,X_56),add(X_240,X_241)),
inference(resolve,[$cnf( $equal(add(X_241,add(X_240,X_56)),add(add(X_240,X_56),add(multiply(X_240,add(X_240,X_56)),X_241))) )],[refute_0_2313,refute_0_2318]) ).
cnf(refute_0_2320,plain,
( add(X_241,add(X_240,X_56)) != add(add(X_240,X_56),add(X_240,X_241))
| add(add(X_240,X_56),add(X_240,X_241)) = add(X_241,add(X_240,X_56)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_241,add(X_240,X_56)))),bind(Y0,$fot(add(add(X_240,X_56),add(X_240,X_241))))]]) ).
cnf(refute_0_2321,plain,
add(add(X_240,X_56),add(X_240,X_241)) = add(X_241,add(X_240,X_56)),
inference(resolve,[$cnf( $equal(add(X_241,add(X_240,X_56)),add(add(X_240,X_56),add(X_240,X_241))) )],[refute_0_2319,refute_0_2320]) ).
cnf(refute_0_2322,plain,
add(add(X_99,X_100),add(X_99,X_100)) = add(X_100,add(X_99,X_100)),
inference(subst,[],[refute_0_2321:[bind(X_240,$fot(X_99)),bind(X_241,$fot(X_100)),bind(X_56,$fot(X_100))]]) ).
cnf(refute_0_2323,plain,
( add(X_100,add(X_99,X_100)) != add(X_99,X_100)
| add(add(X_99,X_100),add(X_99,X_100)) != add(X_100,add(X_99,X_100))
| add(add(X_99,X_100),add(X_99,X_100)) = add(X_99,X_100) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_99,X_100),add(X_99,X_100)))),bind(Y0,$fot(add(X_100,add(X_99,X_100)))),bind(Z0,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2324,plain,
( add(X_100,add(X_99,X_100)) != add(X_99,X_100)
| add(add(X_99,X_100),add(X_99,X_100)) = add(X_99,X_100) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),add(X_99,X_100)),add(X_100,add(X_99,X_100))) )],[refute_0_2322,refute_0_2323]) ).
cnf(refute_0_2325,plain,
add(add(X_99,X_100),add(X_99,X_100)) = add(X_99,X_100),
inference(resolve,[$cnf( $equal(add(X_100,add(X_99,X_100)),add(X_99,X_100)) )],[refute_0_2263,refute_0_2324]) ).
cnf(refute_0_2326,plain,
add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) = multiply(add(X_10,add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99)))),
inference(subst,[],[refute_0_815:[bind(X_11,$fot(inverse(add(X_100,X_99)))),bind(X_12,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2327,plain,
( add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != multiply(add(X_10,add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99))))
| add(add(X_99,X_100),inverse(add(X_100,X_99))) != multiplicative_identity
| add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) = multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)),multiply(add(X_10,add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2328,plain,
( add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != multiply(add(X_10,add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99))))
| add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) = multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),inverse(add(X_100,X_99))),multiplicative_identity) )],[refute_0_1662,refute_0_2327]) ).
cnf(refute_0_2329,plain,
add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) = multiply(add(X_10,add(X_99,X_100)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)),multiply(add(X_10,add(X_99,X_100)),add(add(X_99,X_100),inverse(add(X_100,X_99))))) )],[refute_0_2326,refute_0_2328]) ).
cnf(refute_0_2330,plain,
add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) = add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(inverse(add(X_100,X_99)))),bind(X_56,$fot(add(X_99,X_100))),bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_2331,plain,
( add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)
| add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99))))
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)),multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)) ),[0],$fot(add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))))]]) ).
cnf(refute_0_2332,plain,
( add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)),add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99))))) )],[refute_0_2330,refute_0_2331]) ).
cnf(refute_0_2333,plain,
multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) = add(X_10,add(X_99,X_100)),
inference(subst,[],[multiplicative_id1:[bind(X,$fot(add(X_10,add(X_99,X_100))))]]) ).
cnf(refute_0_2334,plain,
( multiply(add(X_10,add(X_99,X_100)),multiplicative_identity) != add(X_10,add(X_99,X_100))
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) != multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = add(X_10,add(X_99,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))),multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)) ),[1],$fot(add(X_10,add(X_99,X_100)))]]) ).
cnf(refute_0_2335,plain,
( add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) != multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = add(X_10,add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,add(X_99,X_100)),multiplicative_identity),add(X_10,add(X_99,X_100))) )],[refute_0_2333,refute_0_2334]) ).
cnf(refute_0_2336,plain,
( add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)) != multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)
| add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = add(X_10,add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))),multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)) )],[refute_0_2332,refute_0_2335]) ).
cnf(refute_0_2337,plain,
add(add(X_99,X_100),multiply(X_10,inverse(add(X_100,X_99)))) = add(X_10,add(X_99,X_100)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(add(X_100,X_99))),add(X_99,X_100)),multiply(add(X_10,add(X_99,X_100)),multiplicative_identity)) )],[refute_0_2329,refute_0_2336]) ).
cnf(refute_0_2338,plain,
add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) = add(add(X_99,X_100),add(X_99,X_100)),
inference(subst,[],[refute_0_2337:[bind(X_10,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2339,plain,
( add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) != add(add(X_99,X_100),add(X_99,X_100))
| add(add(X_99,X_100),add(X_99,X_100)) != add(X_99,X_100)
| add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) = add(X_99,X_100) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))))),bind(Y0,$fot(add(add(X_99,X_100),add(X_99,X_100)))),bind(Z0,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2340,plain,
( add(add(X_99,X_100),add(X_99,X_100)) != add(X_99,X_100)
| add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) = add(X_99,X_100) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))),add(add(X_99,X_100),add(X_99,X_100))) )],[refute_0_2338,refute_0_2339]) ).
cnf(refute_0_2341,plain,
add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) = add(X_99,X_100),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),add(X_99,X_100)),add(X_99,X_100)) )],[refute_0_2325,refute_0_2340]) ).
cnf(refute_0_2342,plain,
add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))),
inference(subst,[],[refute_0_1949:[bind(Y,$fot(add(X_99,X_100))),bind(X_266,$fot(inverse(add(X_100,X_99)))),bind(X_267,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2343,plain,
( add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) != add(X_99,X_100)
| add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99))))
| add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_99,X_100) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))),bind(Y0,$fot(add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))))),bind(Z0,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2344,plain,
( add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))) != add(X_99,X_100)
| add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_99,X_100) ),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99))))) )],[refute_0_2342,refute_0_2343]) ).
cnf(refute_0_2345,plain,
add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) = add(X_99,X_100),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),multiply(add(X_99,X_100),inverse(add(X_100,X_99)))),add(X_99,X_100)) )],[refute_0_2341,refute_0_2344]) ).
cnf(refute_0_2346,plain,
inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),
introduced(tautology,[refl,[$fot(inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))]]) ).
cnf(refute_0_2347,plain,
( add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(X_99,X_100)
| inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_99,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) ),[1,0],$fot(add(X_99,X_100))]]) ).
cnf(refute_0_2348,plain,
( add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))) != add(X_99,X_100)
| inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) )],[refute_0_2346,refute_0_2347]) ).
cnf(refute_0_2349,plain,
inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) = inverse(add(X_99,X_100)),
inference(resolve,[$cnf( $equal(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),add(X_99,X_100)) )],[refute_0_2345,refute_0_2348]) ).
cnf(refute_0_2350,plain,
multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) = inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),
inference(subst,[],[refute_0_2251:[bind(X_56,$fot(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),bind(X_57,$fot(add(X_99,X_100)))]]) ).
cnf(refute_0_2351,plain,
( multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) != inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))
| inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(X_99,X_100))
| multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) = inverse(add(X_99,X_100)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))))),bind(Y0,$fot(inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))))),bind(Z0,$fot(inverse(add(X_99,X_100))))]]) ).
cnf(refute_0_2352,plain,
( inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != inverse(add(X_99,X_100))
| multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) = inverse(add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))),inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100))))) )],[refute_0_2350,refute_0_2351]) ).
cnf(refute_0_2353,plain,
multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) = inverse(add(X_99,X_100)),
inference(resolve,[$cnf( $equal(inverse(add(add(X_99,X_100),multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),inverse(add(X_99,X_100))) )],[refute_0_2349,refute_0_2352]) ).
cnf(refute_0_2354,plain,
( multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))) != inverse(add(X_99,X_100))
| inverse(add(X_100,X_99)) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))
| inverse(add(X_100,X_99)) = inverse(add(X_99,X_100)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(X_100,X_99)),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))) ),[1],$fot(inverse(add(X_99,X_100)))]]) ).
cnf(refute_0_2355,plain,
( inverse(add(X_100,X_99)) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))
| inverse(add(X_100,X_99)) = inverse(add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100))),inverse(add(X_99,X_100))) )],[refute_0_2353,refute_0_2354]) ).
cnf(refute_0_2356,plain,
( multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))) != multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))
| inverse(add(X_100,X_99)) = inverse(add(X_99,X_100)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_100,X_99)),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))) )],[refute_0_2260,refute_0_2355]) ).
cnf(refute_0_2357,plain,
inverse(add(X_100,X_99)) = inverse(add(X_99,X_100)),
inference(resolve,[$cnf( $equal(multiply(inverse(add(X_100,X_99)),inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100)))),multiply(inverse(multiply(inverse(add(X_100,X_99)),add(X_99,X_100))),inverse(add(X_99,X_100)))) )],[refute_0_1674,refute_0_2356]) ).
cnf(refute_0_2358,plain,
( inverse(add(X_100,X_99)) != inverse(add(X_99,X_100))
| inverse(add(X_99,X_100)) = inverse(add(X_100,X_99)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(inverse(add(X_100,X_99)))),bind(Y0,$fot(inverse(add(X_99,X_100))))]]) ).
cnf(refute_0_2359,plain,
inverse(add(X_99,X_100)) = inverse(add(X_100,X_99)),
inference(resolve,[$cnf( $equal(inverse(add(X_100,X_99)),inverse(add(X_99,X_100))) )],[refute_0_2357,refute_0_2358]) ).
cnf(refute_0_2360,plain,
inverse(add(multiply(X_312,X_11),inverse(X_312))) = inverse(add(inverse(X_312),multiply(X_312,X_11))),
inference(subst,[],[refute_0_2359:[bind(X_100,$fot(inverse(X_312))),bind(X_99,$fot(multiply(X_312,X_11)))]]) ).
cnf(refute_0_2361,plain,
multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = inverse(add(multiply(X_312,X_11),inverse(X_312))),
inference(subst,[],[refute_0_1394:[bind(X_313,$fot(multiply(X_312,X_11)))]]) ).
cnf(refute_0_2362,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != inverse(add(multiply(X_312,X_11),inverse(X_312)))
| inverse(add(multiply(X_312,X_11),inverse(X_312))) != inverse(add(inverse(X_312),multiply(X_312,X_11)))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = inverse(add(inverse(X_312),multiply(X_312,X_11))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))))),bind(Y0,$fot(inverse(add(multiply(X_312,X_11),inverse(X_312))))),bind(Z0,$fot(inverse(add(inverse(X_312),multiply(X_312,X_11)))))]]) ).
cnf(refute_0_2363,plain,
( inverse(add(multiply(X_312,X_11),inverse(X_312))) != inverse(add(inverse(X_312),multiply(X_312,X_11)))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = inverse(add(inverse(X_312),multiply(X_312,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),inverse(add(multiply(X_312,X_11),inverse(X_312)))) )],[refute_0_2361,refute_0_2362]) ).
cnf(refute_0_2364,plain,
multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = inverse(add(inverse(X_312),multiply(X_312,X_11))),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_312,X_11),inverse(X_312))),inverse(add(inverse(X_312),multiply(X_312,X_11)))) )],[refute_0_2360,refute_0_2363]) ).
cnf(refute_0_2365,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != inverse(add(inverse(X_312),multiply(X_312,X_11)))
| inverse(add(inverse(X_312),multiply(X_312,X_11))) != multiply(X_312,inverse(X_11))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(X_312,inverse(X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))))),bind(Y0,$fot(inverse(add(inverse(X_312),multiply(X_312,X_11))))),bind(Z0,$fot(multiply(X_312,inverse(X_11))))]]) ).
cnf(refute_0_2366,plain,
( inverse(add(inverse(X_312),multiply(X_312,X_11))) != multiply(X_312,inverse(X_11))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(X_312,inverse(X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),inverse(add(inverse(X_312),multiply(X_312,X_11)))) )],[refute_0_2364,refute_0_2365]) ).
cnf(refute_0_2367,plain,
multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) = multiply(X_312,inverse(X_11)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_312),multiply(X_312,X_11))),multiply(X_312,inverse(X_11))) )],[refute_0_1429,refute_0_2366]) ).
cnf(refute_0_2368,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(X_312,inverse(X_11))
| multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(X_11)) = multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))) ),[0],$fot(multiply(X_312,inverse(X_11)))]]) ).
cnf(refute_0_2369,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(X_11)) = multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) ),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),multiply(X_312,inverse(X_11))) )],[refute_0_2367,refute_0_2368]) ).
cnf(refute_0_2370,plain,
add(X_11,add(X_11,inverse(X_312))) = add(inverse(X_312),X_11),
inference(subst,[],[refute_0_1920:[bind(X_64,$fot(X_11)),bind(X_65,$fot(inverse(X_312)))]]) ).
cnf(refute_0_2371,plain,
add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) = multiply(add(X_10,add(X_138,X_139)),add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138)))),
inference(subst,[],[refute_0_815:[bind(X_11,$fot(inverse(multiply(inverse(X_139),X_138)))),bind(X_12,$fot(add(X_138,X_139)))]]) ).
cnf(refute_0_2372,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_97),X_23)),add(X_97,multiply(inverse(X_97),X_23))),
inference(subst,[],[refute_0_1620:[bind(X_10,$fot(X_97)),bind(X_42,$fot(multiply(inverse(X_97),X_23)))]]) ).
cnf(refute_0_2373,plain,
add(X_97,multiply(inverse(X_97),X_23)) = add(X_97,X_23),
inference(subst,[],[refute_0_174:[bind(X_21,$fot(X_97))]]) ).
cnf(refute_0_2374,plain,
( add(X_97,multiply(inverse(X_97),X_23)) != add(X_97,X_23)
| multiplicative_identity != add(inverse(multiply(inverse(X_97),X_23)),add(X_97,multiply(inverse(X_97),X_23)))
| multiplicative_identity = add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_97),X_23)),add(X_97,multiply(inverse(X_97),X_23)))) ),[1,1],$fot(add(X_97,X_23))]]) ).
cnf(refute_0_2375,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_97),X_23)),add(X_97,multiply(inverse(X_97),X_23)))
| multiplicative_identity = add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)) ),
inference(resolve,[$cnf( $equal(add(X_97,multiply(inverse(X_97),X_23)),add(X_97,X_23)) )],[refute_0_2373,refute_0_2374]) ).
cnf(refute_0_2376,plain,
multiplicative_identity = add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_97),X_23)),add(X_97,multiply(inverse(X_97),X_23)))) )],[refute_0_2372,refute_0_2375]) ).
cnf(refute_0_2377,plain,
add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)) = add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23))),
inference(subst,[],[refute_0_747:[bind(Y,$fot(inverse(multiply(inverse(X_97),X_23)))),bind(X_55,$fot(add(X_97,X_23)))]]) ).
cnf(refute_0_2378,plain,
( add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)) != add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23)))
| multiplicative_identity != add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23))
| multiplicative_identity = add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23))) ),[1],$fot(add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23))))]]) ).
cnf(refute_0_2379,plain,
( multiplicative_identity != add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23))
| multiplicative_identity = add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23))) ),
inference(resolve,[$cnf( $equal(add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23)),add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23)))) )],[refute_0_2377,refute_0_2378]) ).
cnf(refute_0_2380,plain,
multiplicative_identity = add(add(X_97,X_23),inverse(multiply(inverse(X_97),X_23))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(inverse(multiply(inverse(X_97),X_23)),add(X_97,X_23))) )],[refute_0_2376,refute_0_2379]) ).
cnf(refute_0_2381,plain,
multiplicative_identity = add(add(X_102,X_101),inverse(multiply(inverse(X_102),X_101))),
inference(subst,[],[refute_0_2380:[bind(X_23,$fot(X_101)),bind(X_97,$fot(X_102))]]) ).
cnf(refute_0_2382,plain,
add(X_101,X_102) = add(X_102,X_101),
inference(subst,[],[commutativity_of_add:[bind(X,$fot(X_101)),bind(Y,$fot(X_102))]]) ).
cnf(refute_0_2383,plain,
( add(X_101,X_102) != add(X_102,X_101)
| add(X_102,X_101) = add(X_101,X_102) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(add(X_101,X_102))),bind(Y0,$fot(add(X_102,X_101)))]]) ).
cnf(refute_0_2384,plain,
add(X_102,X_101) = add(X_101,X_102),
inference(resolve,[$cnf( $equal(add(X_101,X_102),add(X_102,X_101)) )],[refute_0_2382,refute_0_2383]) ).
cnf(refute_0_2385,plain,
( add(X_102,X_101) != add(X_101,X_102)
| multiplicative_identity != add(add(X_102,X_101),inverse(multiply(inverse(X_102),X_101)))
| multiplicative_identity = add(add(X_101,X_102),inverse(multiply(inverse(X_102),X_101))) ),
introduced(tautology,[equality,[$cnf( $equal(multiplicative_identity,add(add(X_102,X_101),inverse(multiply(inverse(X_102),X_101)))) ),[1,0],$fot(add(X_101,X_102))]]) ).
cnf(refute_0_2386,plain,
( multiplicative_identity != add(add(X_102,X_101),inverse(multiply(inverse(X_102),X_101)))
| multiplicative_identity = add(add(X_101,X_102),inverse(multiply(inverse(X_102),X_101))) ),
inference(resolve,[$cnf( $equal(add(X_102,X_101),add(X_101,X_102)) )],[refute_0_2384,refute_0_2385]) ).
cnf(refute_0_2387,plain,
multiplicative_identity = add(add(X_101,X_102),inverse(multiply(inverse(X_102),X_101))),
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_102,X_101),inverse(multiply(inverse(X_102),X_101)))) )],[refute_0_2381,refute_0_2386]) ).
cnf(refute_0_2388,plain,
multiplicative_identity = add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))),
inference(subst,[],[refute_0_2387:[bind(X_101,$fot(X_138)),bind(X_102,$fot(X_139))]]) ).
cnf(refute_0_2389,plain,
( multiplicative_identity != add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138)))
| add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138)))))]]) ).
cnf(refute_0_2390,plain,
add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138)))) )],[refute_0_2388,refute_0_2389]) ).
cnf(refute_0_2391,plain,
( add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != multiply(add(X_10,add(X_138,X_139)),add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))))
| add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))) != multiplicative_identity
| add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) = multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)),multiply(add(X_10,add(X_138,X_139)),add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2392,plain,
( add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != multiply(add(X_10,add(X_138,X_139)),add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))))
| add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) = multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))),multiplicative_identity) )],[refute_0_2390,refute_0_2391]) ).
cnf(refute_0_2393,plain,
add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) = multiply(add(X_10,add(X_138,X_139)),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)),multiply(add(X_10,add(X_138,X_139)),add(add(X_138,X_139),inverse(multiply(inverse(X_139),X_138))))) )],[refute_0_2371,refute_0_2392]) ).
cnf(refute_0_2394,plain,
add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) = add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(inverse(multiply(inverse(X_139),X_138)))),bind(X_56,$fot(add(X_138,X_139))),bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_2395,plain,
( add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)
| add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138))))
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)),multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)) ),[0],$fot(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))))]]) ).
cnf(refute_0_2396,plain,
( add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)),add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138))))) )],[refute_0_2394,refute_0_2395]) ).
cnf(refute_0_2397,plain,
multiply(multiplicative_identity,add(X_10,add(X_138,X_139))) = add(X_10,add(X_138,X_139)),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(X_10,add(X_138,X_139))))]]) ).
cnf(refute_0_2398,plain,
multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) = multiply(multiplicative_identity,add(X_10,add(X_138,X_139))),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(add(X_10,add(X_138,X_139))))]]) ).
cnf(refute_0_2399,plain,
( multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) != multiply(multiplicative_identity,add(X_10,add(X_138,X_139)))
| multiply(multiplicative_identity,add(X_10,add(X_138,X_139))) != add(X_10,add(X_138,X_139))
| multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) = add(X_10,add(X_138,X_139)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_10,add(X_138,X_139)),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(X_10,add(X_138,X_139))))),bind(Z0,$fot(add(X_10,add(X_138,X_139))))]]) ).
cnf(refute_0_2400,plain,
( multiply(multiplicative_identity,add(X_10,add(X_138,X_139))) != add(X_10,add(X_138,X_139))
| multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) = add(X_10,add(X_138,X_139)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,add(X_138,X_139)),multiplicative_identity),multiply(multiplicative_identity,add(X_10,add(X_138,X_139)))) )],[refute_0_2398,refute_0_2399]) ).
cnf(refute_0_2401,plain,
multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) = add(X_10,add(X_138,X_139)),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(X_10,add(X_138,X_139))),add(X_10,add(X_138,X_139))) )],[refute_0_2397,refute_0_2400]) ).
cnf(refute_0_2402,plain,
( multiply(add(X_10,add(X_138,X_139)),multiplicative_identity) != add(X_10,add(X_138,X_139))
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) != multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = add(X_10,add(X_138,X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)) ),[1],$fot(add(X_10,add(X_138,X_139)))]]) ).
cnf(refute_0_2403,plain,
( add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) != multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = add(X_10,add(X_138,X_139)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,add(X_138,X_139)),multiplicative_identity),add(X_10,add(X_138,X_139))) )],[refute_0_2401,refute_0_2402]) ).
cnf(refute_0_2404,plain,
( add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)) != multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = add(X_10,add(X_138,X_139)) ),
inference(resolve,[$cnf( $equal(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)) )],[refute_0_2396,refute_0_2403]) ).
cnf(refute_0_2405,plain,
add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = add(X_10,add(X_138,X_139)),
inference(resolve,[$cnf( $equal(add(multiply(X_10,inverse(multiply(inverse(X_139),X_138))),add(X_138,X_139)),multiply(add(X_10,add(X_138,X_139)),multiplicative_identity)) )],[refute_0_2393,refute_0_2404]) ).
cnf(refute_0_2406,plain,
add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = multiply(add(add(X_218,X_220),Y),add(add(X_218,X_220),inverse(multiply(X_219,X_218)))),
inference(subst,[],[distributivity2:[bind(X,$fot(add(X_218,X_220))),bind(Z,$fot(inverse(multiply(X_219,X_218))))]]) ).
cnf(refute_0_2407,plain,
( add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) != multiply(add(add(X_218,X_220),Y),add(add(X_218,X_220),inverse(multiply(X_219,X_218))))
| add(add(X_218,X_220),inverse(multiply(X_219,X_218))) != multiplicative_identity
| add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = multiply(add(add(X_218,X_220),Y),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))),multiply(add(add(X_218,X_220),Y),add(add(X_218,X_220),inverse(multiply(X_219,X_218))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2408,plain,
( add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) != multiply(add(add(X_218,X_220),Y),add(add(X_218,X_220),inverse(multiply(X_219,X_218))))
| add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = multiply(add(add(X_218,X_220),Y),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(add(X_218,X_220),inverse(multiply(X_219,X_218))),multiplicative_identity) )],[refute_0_1347,refute_0_2407]) ).
cnf(refute_0_2409,plain,
add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = multiply(add(add(X_218,X_220),Y),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))),multiply(add(add(X_218,X_220),Y),add(add(X_218,X_220),inverse(multiply(X_219,X_218))))) )],[refute_0_2406,refute_0_2408]) ).
cnf(refute_0_2410,plain,
multiply(multiplicative_identity,add(add(X_218,X_220),Y)) = add(add(X_218,X_220),Y),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(add(X_218,X_220),Y)))]]) ).
cnf(refute_0_2411,plain,
multiply(add(add(X_218,X_220),Y),multiplicative_identity) = multiply(multiplicative_identity,add(add(X_218,X_220),Y)),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(add(add(X_218,X_220),Y)))]]) ).
cnf(refute_0_2412,plain,
( multiply(add(add(X_218,X_220),Y),multiplicative_identity) != multiply(multiplicative_identity,add(add(X_218,X_220),Y))
| multiply(multiplicative_identity,add(add(X_218,X_220),Y)) != add(add(X_218,X_220),Y)
| multiply(add(add(X_218,X_220),Y),multiplicative_identity) = add(add(X_218,X_220),Y) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(add(X_218,X_220),Y),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(add(X_218,X_220),Y)))),bind(Z0,$fot(add(add(X_218,X_220),Y)))]]) ).
cnf(refute_0_2413,plain,
( multiply(multiplicative_identity,add(add(X_218,X_220),Y)) != add(add(X_218,X_220),Y)
| multiply(add(add(X_218,X_220),Y),multiplicative_identity) = add(add(X_218,X_220),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_218,X_220),Y),multiplicative_identity),multiply(multiplicative_identity,add(add(X_218,X_220),Y))) )],[refute_0_2411,refute_0_2412]) ).
cnf(refute_0_2414,plain,
multiply(add(add(X_218,X_220),Y),multiplicative_identity) = add(add(X_218,X_220),Y),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(add(X_218,X_220),Y)),add(add(X_218,X_220),Y)) )],[refute_0_2410,refute_0_2413]) ).
cnf(refute_0_2415,plain,
( multiply(add(add(X_218,X_220),Y),multiplicative_identity) != add(add(X_218,X_220),Y)
| add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) != multiply(add(add(X_218,X_220),Y),multiplicative_identity)
| add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = add(add(X_218,X_220),Y) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))),multiply(add(add(X_218,X_220),Y),multiplicative_identity)) ),[1],$fot(add(add(X_218,X_220),Y))]]) ).
cnf(refute_0_2416,plain,
( add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) != multiply(add(add(X_218,X_220),Y),multiplicative_identity)
| add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = add(add(X_218,X_220),Y) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_218,X_220),Y),multiplicative_identity),add(add(X_218,X_220),Y)) )],[refute_0_2414,refute_0_2415]) ).
cnf(refute_0_2417,plain,
add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))) = add(add(X_218,X_220),Y),
inference(resolve,[$cnf( $equal(add(add(X_218,X_220),multiply(Y,inverse(multiply(X_219,X_218)))),multiply(add(add(X_218,X_220),Y),multiplicative_identity)) )],[refute_0_2409,refute_0_2416]) ).
cnf(refute_0_2418,plain,
add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) = add(add(X_138,X_139),X_10),
inference(subst,[],[refute_0_2417:[bind(Y,$fot(X_10)),bind(X_218,$fot(X_138)),bind(X_219,$fot(inverse(X_139))),bind(X_220,$fot(X_139))]]) ).
cnf(refute_0_2419,plain,
( add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) != add(X_10,add(X_138,X_139))
| add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) != add(add(X_138,X_139),X_10)
| add(add(X_138,X_139),X_10) = add(X_10,add(X_138,X_139)) ),
introduced(tautology,[equality,[$cnf( $equal(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),add(X_10,add(X_138,X_139))) ),[0],$fot(add(add(X_138,X_139),X_10))]]) ).
cnf(refute_0_2420,plain,
( add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))) != add(X_10,add(X_138,X_139))
| add(add(X_138,X_139),X_10) = add(X_10,add(X_138,X_139)) ),
inference(resolve,[$cnf( $equal(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),add(add(X_138,X_139),X_10)) )],[refute_0_2418,refute_0_2419]) ).
cnf(refute_0_2421,plain,
add(add(X_138,X_139),X_10) = add(X_10,add(X_138,X_139)),
inference(resolve,[$cnf( $equal(add(add(X_138,X_139),multiply(X_10,inverse(multiply(inverse(X_139),X_138)))),add(X_10,add(X_138,X_139))) )],[refute_0_2405,refute_0_2420]) ).
cnf(refute_0_2422,plain,
add(add(X_11,inverse(X_312)),X_11) = add(X_11,add(X_11,inverse(X_312))),
inference(subst,[],[refute_0_2421:[bind(X_10,$fot(X_11)),bind(X_138,$fot(X_11)),bind(X_139,$fot(inverse(X_312)))]]) ).
cnf(refute_0_2423,plain,
( add(X_11,add(X_11,inverse(X_312))) != add(inverse(X_312),X_11)
| add(add(X_11,inverse(X_312)),X_11) != add(X_11,add(X_11,inverse(X_312)))
| add(add(X_11,inverse(X_312)),X_11) = add(inverse(X_312),X_11) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(add(X_11,inverse(X_312)),X_11))),bind(Y0,$fot(add(X_11,add(X_11,inverse(X_312))))),bind(Z0,$fot(add(inverse(X_312),X_11)))]]) ).
cnf(refute_0_2424,plain,
( add(X_11,add(X_11,inverse(X_312))) != add(inverse(X_312),X_11)
| add(add(X_11,inverse(X_312)),X_11) = add(inverse(X_312),X_11) ),
inference(resolve,[$cnf( $equal(add(add(X_11,inverse(X_312)),X_11),add(X_11,add(X_11,inverse(X_312)))) )],[refute_0_2422,refute_0_2423]) ).
cnf(refute_0_2425,plain,
add(add(X_11,inverse(X_312)),X_11) = add(inverse(X_312),X_11),
inference(resolve,[$cnf( $equal(add(X_11,add(X_11,inverse(X_312))),add(inverse(X_312),X_11)) )],[refute_0_2370,refute_0_2424]) ).
cnf(refute_0_2426,plain,
add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = multiply(add(add(X_127,inverse(X_11)),X_10),add(X_11,add(X_127,inverse(X_11)))),
inference(subst,[],[refute_0_1680:[bind(X_12,$fot(add(X_127,inverse(X_11))))]]) ).
cnf(refute_0_2427,plain,
multiplicative_identity = add(X_11,add(X_127,inverse(X_11))),
inference(subst,[],[refute_0_1866:[bind(X_10,$fot(X_127)),bind(X_29,$fot(X_11))]]) ).
cnf(refute_0_2428,plain,
( multiplicative_identity != add(X_11,add(X_127,inverse(X_11)))
| add(X_11,add(X_127,inverse(X_11))) = multiplicative_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiplicative_identity)),bind(Y0,$fot(add(X_11,add(X_127,inverse(X_11)))))]]) ).
cnf(refute_0_2429,plain,
add(X_11,add(X_127,inverse(X_11))) = multiplicative_identity,
inference(resolve,[$cnf( $equal(multiplicative_identity,add(X_11,add(X_127,inverse(X_11)))) )],[refute_0_2427,refute_0_2428]) ).
cnf(refute_0_2430,plain,
( add(X_11,add(X_127,inverse(X_11))) != multiplicative_identity
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) != multiply(add(add(X_127,inverse(X_11)),X_10),add(X_11,add(X_127,inverse(X_11))))
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),add(X_127,inverse(X_11))),multiply(add(add(X_127,inverse(X_11)),X_10),add(X_11,add(X_127,inverse(X_11))))) ),[1,1],$fot(multiplicative_identity)]]) ).
cnf(refute_0_2431,plain,
( add(multiply(X_10,X_11),add(X_127,inverse(X_11))) != multiply(add(add(X_127,inverse(X_11)),X_10),add(X_11,add(X_127,inverse(X_11))))
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) ),
inference(resolve,[$cnf( $equal(add(X_11,add(X_127,inverse(X_11))),multiplicative_identity) )],[refute_0_2429,refute_0_2430]) ).
cnf(refute_0_2432,plain,
add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),add(X_127,inverse(X_11))),multiply(add(add(X_127,inverse(X_11)),X_10),add(X_11,add(X_127,inverse(X_11))))) )],[refute_0_2426,refute_0_2431]) ).
cnf(refute_0_2433,plain,
multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)) = add(add(X_127,inverse(X_11)),X_10),
inference(subst,[],[multiplicative_id2:[bind(X,$fot(add(add(X_127,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_2434,plain,
multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) = multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)),
inference(subst,[],[refute_0_898:[bind(X_37,$fot(multiplicative_identity)),bind(X_38,$fot(add(add(X_127,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_2435,plain,
( multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) != multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10))
| multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)) != add(add(X_127,inverse(X_11)),X_10)
| multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) = add(add(X_127,inverse(X_11)),X_10) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity))),bind(Y0,$fot(multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)))),bind(Z0,$fot(add(add(X_127,inverse(X_11)),X_10)))]]) ).
cnf(refute_0_2436,plain,
( multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)) != add(add(X_127,inverse(X_11)),X_10)
| multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) = add(add(X_127,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity),multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10))) )],[refute_0_2434,refute_0_2435]) ).
cnf(refute_0_2437,plain,
multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) = add(add(X_127,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(multiply(multiplicative_identity,add(add(X_127,inverse(X_11)),X_10)),add(add(X_127,inverse(X_11)),X_10)) )],[refute_0_2433,refute_0_2436]) ).
cnf(refute_0_2438,plain,
( multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity) != add(add(X_127,inverse(X_11)),X_10)
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) != multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity)
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = add(add(X_127,inverse(X_11)),X_10) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,X_11),add(X_127,inverse(X_11))),multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity)) ),[1],$fot(add(add(X_127,inverse(X_11)),X_10))]]) ).
cnf(refute_0_2439,plain,
( add(multiply(X_10,X_11),add(X_127,inverse(X_11))) != multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity)
| add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = add(add(X_127,inverse(X_11)),X_10) ),
inference(resolve,[$cnf( $equal(multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity),add(add(X_127,inverse(X_11)),X_10)) )],[refute_0_2437,refute_0_2438]) ).
cnf(refute_0_2440,plain,
add(multiply(X_10,X_11),add(X_127,inverse(X_11))) = add(add(X_127,inverse(X_11)),X_10),
inference(resolve,[$cnf( $equal(add(multiply(X_10,X_11),add(X_127,inverse(X_11))),multiply(add(add(X_127,inverse(X_11)),X_10),multiplicative_identity)) )],[refute_0_2432,refute_0_2439]) ).
cnf(refute_0_2441,plain,
add(multiply(X_11,X_312),add(X_11,inverse(X_312))) = add(add(X_11,inverse(X_312)),X_11),
inference(subst,[],[refute_0_2440:[bind(X_10,$fot(X_11)),bind(X_11,$fot(X_312)),bind(X_127,$fot(X_11))]]) ).
cnf(refute_0_2442,plain,
( add(multiply(X_11,X_312),add(X_11,inverse(X_312))) != add(add(X_11,inverse(X_312)),X_11)
| add(add(X_11,inverse(X_312)),X_11) != add(inverse(X_312),X_11)
| add(multiply(X_11,X_312),add(X_11,inverse(X_312))) = add(inverse(X_312),X_11) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))),bind(Y0,$fot(add(add(X_11,inverse(X_312)),X_11))),bind(Z0,$fot(add(inverse(X_312),X_11)))]]) ).
cnf(refute_0_2443,plain,
( add(add(X_11,inverse(X_312)),X_11) != add(inverse(X_312),X_11)
| add(multiply(X_11,X_312),add(X_11,inverse(X_312))) = add(inverse(X_312),X_11) ),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_312),add(X_11,inverse(X_312))),add(add(X_11,inverse(X_312)),X_11)) )],[refute_0_2441,refute_0_2442]) ).
cnf(refute_0_2444,plain,
add(multiply(X_11,X_312),add(X_11,inverse(X_312))) = add(inverse(X_312),X_11),
inference(resolve,[$cnf( $equal(add(add(X_11,inverse(X_312)),X_11),add(inverse(X_312),X_11)) )],[refute_0_2425,refute_0_2443]) ).
cnf(refute_0_2445,plain,
inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),
introduced(tautology,[refl,[$fot(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))))]]) ).
cnf(refute_0_2446,plain,
( add(multiply(X_11,X_312),add(X_11,inverse(X_312))) != add(inverse(X_312),X_11)
| inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) = inverse(add(inverse(X_312),X_11)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))) ),[1,0],$fot(add(inverse(X_312),X_11))]]) ).
cnf(refute_0_2447,plain,
( add(multiply(X_11,X_312),add(X_11,inverse(X_312))) != add(inverse(X_312),X_11)
| inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) = inverse(add(inverse(X_312),X_11)) ),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))) )],[refute_0_2445,refute_0_2446]) ).
cnf(refute_0_2448,plain,
inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) = inverse(add(inverse(X_312),X_11)),
inference(resolve,[$cnf( $equal(add(multiply(X_11,X_312),add(X_11,inverse(X_312))),add(inverse(X_312),X_11)) )],[refute_0_2444,refute_0_2447]) ).
cnf(refute_0_2449,plain,
inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),
inference(subst,[],[refute_0_2359:[bind(X_100,$fot(multiply(X_11,X_312))),bind(X_99,$fot(add(X_11,inverse(X_312))))]]) ).
cnf(refute_0_2450,plain,
multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) = inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))),
inference(subst,[],[refute_0_2251:[bind(X_56,$fot(multiply(X_11,X_312))),bind(X_57,$fot(add(X_11,inverse(X_312))))]]) ).
cnf(refute_0_2451,plain,
( multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) != inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312)))
| inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))))),bind(Y0,$fot(inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))))),bind(Z0,$fot(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))))]]) ).
cnf(refute_0_2452,plain,
( inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))),inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312)))) )],[refute_0_2450,refute_0_2451]) ).
cnf(refute_0_2453,plain,
multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),
inference(resolve,[$cnf( $equal(inverse(add(add(X_11,inverse(X_312)),multiply(X_11,X_312))),inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))) )],[refute_0_2449,refute_0_2452]) ).
cnf(refute_0_2454,plain,
multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))),
inference(subst,[],[refute_0_1386:[bind(X_226,$fot(X_312)),bind(X_227,$fot(X_11)),bind(X_228,$fot(inverse(multiply(X_11,X_312))))]]) ).
cnf(refute_0_2455,plain,
( multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) != multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312))))
| multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))))),bind(Y0,$fot(multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))))),bind(Z0,$fot(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))))]]) ).
cnf(refute_0_2456,plain,
( multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))),multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312))))) )],[refute_0_2454,refute_0_2455]) ).
cnf(refute_0_2457,plain,
multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_312)),inverse(add(X_11,inverse(X_312)))),inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))) )],[refute_0_2453,refute_0_2456]) ).
cnf(refute_0_2458,plain,
( multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) != inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))
| inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) != inverse(add(inverse(X_312),X_11))
| multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(inverse(X_312),X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))))),bind(Y0,$fot(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))))),bind(Z0,$fot(inverse(add(inverse(X_312),X_11))))]]) ).
cnf(refute_0_2459,plain,
( inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))) != inverse(add(inverse(X_312),X_11))
| multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(inverse(X_312),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))),inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312))))) )],[refute_0_2457,refute_0_2458]) ).
cnf(refute_0_2460,plain,
multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) = inverse(add(inverse(X_312),X_11)),
inference(resolve,[$cnf( $equal(inverse(add(multiply(X_11,X_312),add(X_11,inverse(X_312)))),inverse(add(inverse(X_312),X_11))) )],[refute_0_2448,refute_0_2459]) ).
cnf(refute_0_2461,plain,
( multiply(X_312,inverse(X_11)) != multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))) != inverse(add(inverse(X_312),X_11))
| multiply(X_312,inverse(X_11)) = inverse(add(inverse(X_312),X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_312,inverse(X_11)),inverse(add(inverse(X_312),X_11))) ),[0],$fot(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))))]]) ).
cnf(refute_0_2462,plain,
( multiply(X_312,inverse(X_11)) != multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(X_11)) = inverse(add(inverse(X_312),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11)))),inverse(add(inverse(X_312),X_11))) )],[refute_0_2460,refute_0_2461]) ).
cnf(refute_0_2463,plain,
( multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))) != multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))
| multiply(X_312,inverse(X_11)) = inverse(add(inverse(X_312),X_11)) ),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(X_11)),multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))) )],[refute_0_2369,refute_0_2462]) ).
cnf(refute_0_2464,plain,
multiply(X_312,inverse(X_11)) = inverse(add(inverse(X_312),X_11)),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(multiply(X_312,multiply(X_312,X_11)))),multiply(inverse(multiply(X_11,X_312)),multiply(X_312,inverse(multiply(X_312,X_11))))) )],[refute_0_1293,refute_0_2463]) ).
cnf(refute_0_2465,plain,
( multiply(X_312,inverse(X_11)) != inverse(add(inverse(X_312),X_11))
| inverse(add(inverse(X_312),X_11)) = multiply(X_312,inverse(X_11)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_312,inverse(X_11)))),bind(Y0,$fot(inverse(add(inverse(X_312),X_11))))]]) ).
cnf(refute_0_2466,plain,
inverse(add(inverse(X_312),X_11)) = multiply(X_312,inverse(X_11)),
inference(resolve,[$cnf( $equal(multiply(X_312,inverse(X_11)),inverse(add(inverse(X_312),X_11))) )],[refute_0_2464,refute_0_2465]) ).
cnf(refute_0_2467,plain,
inverse(add(inverse(X_11),inverse(X_226))) = multiply(X_11,inverse(inverse(X_226))),
inference(subst,[],[refute_0_2466:[bind(X_11,$fot(inverse(X_226))),bind(X_312,$fot(X_11))]]) ).
cnf(refute_0_2468,plain,
( multiply(X_11,inverse(inverse(X_226))) != multiply(X_11,X_226)
| inverse(add(inverse(X_11),inverse(X_226))) != multiply(X_11,inverse(inverse(X_226)))
| inverse(add(inverse(X_11),inverse(X_226))) = multiply(X_11,X_226) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(inverse(add(inverse(X_11),inverse(X_226))))),bind(Y0,$fot(multiply(X_11,inverse(inverse(X_226))))),bind(Z0,$fot(multiply(X_11,X_226)))]]) ).
cnf(refute_0_2469,plain,
( multiply(X_11,inverse(inverse(X_226))) != multiply(X_11,X_226)
| inverse(add(inverse(X_11),inverse(X_226))) = multiply(X_11,X_226) ),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_11),inverse(X_226))),multiply(X_11,inverse(inverse(X_226)))) )],[refute_0_2467,refute_0_2468]) ).
cnf(refute_0_2470,plain,
inverse(add(inverse(X_11),inverse(X_226))) = multiply(X_11,X_226),
inference(resolve,[$cnf( $equal(multiply(X_11,inverse(inverse(X_226))),multiply(X_11,X_226)) )],[refute_0_1265,refute_0_2469]) ).
cnf(refute_0_2471,plain,
multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),
introduced(tautology,[refl,[$fot(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))))]]) ).
cnf(refute_0_2472,plain,
( multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) != multiply(X_10,inverse(add(inverse(X_11),inverse(X_226))))
| inverse(add(inverse(X_11),inverse(X_226))) != multiply(X_11,X_226)
| multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(X_10,multiply(X_11,X_226)) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),multiply(X_10,inverse(add(inverse(X_11),inverse(X_226))))) ),[1,1],$fot(multiply(X_11,X_226))]]) ).
cnf(refute_0_2473,plain,
( inverse(add(inverse(X_11),inverse(X_226))) != multiply(X_11,X_226)
| multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(X_10,multiply(X_11,X_226)) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),multiply(X_10,inverse(add(inverse(X_11),inverse(X_226))))) )],[refute_0_2471,refute_0_2472]) ).
cnf(refute_0_2474,plain,
multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) = multiply(X_10,multiply(X_11,X_226)),
inference(resolve,[$cnf( $equal(inverse(add(inverse(X_11),inverse(X_226))),multiply(X_11,X_226)) )],[refute_0_2470,refute_0_2473]) ).
cnf(refute_0_2475,plain,
( multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) != multiply(X_10,multiply(X_11,X_226))
| multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_10,multiply(X_11,X_226)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) ),[0],$fot(multiply(X_10,multiply(X_11,X_226)))]]) ).
cnf(refute_0_2476,plain,
( multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_10,multiply(X_11,X_226)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),multiply(X_10,multiply(X_11,X_226))) )],[refute_0_2474,refute_0_2475]) ).
cnf(refute_0_2477,plain,
multiply(X_10,multiply(X_11,X_226)) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(multiply(X_10,inverse(add(inverse(X_11),inverse(X_226)))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_1260,refute_0_2476]) ).
cnf(refute_0_2478,plain,
multiply(X_246,multiply(X_247,X_56)) = multiply(multiply(X_246,multiply(X_247,X_56)),add(X_56,multiply(X_246,multiply(X_247,X_56)))),
inference(subst,[],[refute_0_661:[bind(X_23,$fot(multiply(X_246,multiply(X_247,X_56))))]]) ).
cnf(refute_0_2479,plain,
add(multiply(X_10,multiply(X_105,X_12)),X_12) = multiply(add(X_10,X_12),add(X_12,multiply(X_105,X_12))),
inference(subst,[],[refute_0_815:[bind(X_11,$fot(multiply(X_105,X_12)))]]) ).
cnf(refute_0_2480,plain,
( add(X_12,multiply(X_105,X_12)) != X_12
| add(multiply(X_10,multiply(X_105,X_12)),X_12) != multiply(add(X_10,X_12),add(X_12,multiply(X_105,X_12)))
| add(multiply(X_10,multiply(X_105,X_12)),X_12) = multiply(add(X_10,X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,multiply(X_105,X_12)),X_12),multiply(add(X_10,X_12),add(X_12,multiply(X_105,X_12)))) ),[1,1],$fot(X_12)]]) ).
cnf(refute_0_2481,plain,
( add(multiply(X_10,multiply(X_105,X_12)),X_12) != multiply(add(X_10,X_12),add(X_12,multiply(X_105,X_12)))
| add(multiply(X_10,multiply(X_105,X_12)),X_12) = multiply(add(X_10,X_12),X_12) ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_105,X_12)),X_12) )],[refute_0_2154,refute_0_2480]) ).
cnf(refute_0_2482,plain,
add(multiply(X_10,multiply(X_105,X_12)),X_12) = multiply(add(X_10,X_12),X_12),
inference(resolve,[$cnf( $equal(add(multiply(X_10,multiply(X_105,X_12)),X_12),multiply(add(X_10,X_12),add(X_12,multiply(X_105,X_12)))) )],[refute_0_2479,refute_0_2481]) ).
cnf(refute_0_2483,plain,
add(multiply(X_10,multiply(X_105,X_12)),X_12) = add(X_12,multiply(X_10,multiply(X_105,X_12))),
inference(subst,[],[refute_0_873:[bind(X_13,$fot(multiply(X_105,X_12))),bind(X_56,$fot(X_12)),bind(X_57,$fot(X_10))]]) ).
cnf(refute_0_2484,plain,
( add(multiply(X_10,multiply(X_105,X_12)),X_12) != multiply(add(X_10,X_12),X_12)
| add(multiply(X_10,multiply(X_105,X_12)),X_12) != add(X_12,multiply(X_10,multiply(X_105,X_12)))
| add(X_12,multiply(X_10,multiply(X_105,X_12))) = multiply(add(X_10,X_12),X_12) ),
introduced(tautology,[equality,[$cnf( $equal(add(multiply(X_10,multiply(X_105,X_12)),X_12),multiply(add(X_10,X_12),X_12)) ),[0],$fot(add(X_12,multiply(X_10,multiply(X_105,X_12))))]]) ).
cnf(refute_0_2485,plain,
( add(multiply(X_10,multiply(X_105,X_12)),X_12) != multiply(add(X_10,X_12),X_12)
| add(X_12,multiply(X_10,multiply(X_105,X_12))) = multiply(add(X_10,X_12),X_12) ),
inference(resolve,[$cnf( $equal(add(multiply(X_10,multiply(X_105,X_12)),X_12),add(X_12,multiply(X_10,multiply(X_105,X_12)))) )],[refute_0_2483,refute_0_2484]) ).
cnf(refute_0_2486,plain,
multiply(X_12,add(X_10,X_12)) = X_12,
inference(subst,[],[refute_0_663:[bind(X_23,$fot(X_12)),bind(X_56,$fot(X_10))]]) ).
cnf(refute_0_2487,plain,
( multiply(X_12,add(X_10,X_12)) != X_12
| multiply(add(X_10,X_12),X_12) != multiply(X_12,add(X_10,X_12))
| multiply(add(X_10,X_12),X_12) = X_12 ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_10,X_12),X_12))),bind(Y0,$fot(multiply(X_12,add(X_10,X_12)))),bind(Z0,$fot(X_12))]]) ).
cnf(refute_0_2488,plain,
( multiply(X_12,add(X_10,X_12)) != X_12
| multiply(add(X_10,X_12),X_12) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),X_12),multiply(X_12,add(X_10,X_12))) )],[refute_0_84,refute_0_2487]) ).
cnf(refute_0_2489,plain,
multiply(add(X_10,X_12),X_12) = X_12,
inference(resolve,[$cnf( $equal(multiply(X_12,add(X_10,X_12)),X_12) )],[refute_0_2486,refute_0_2488]) ).
cnf(refute_0_2490,plain,
( multiply(add(X_10,X_12),X_12) != X_12
| add(X_12,multiply(X_10,multiply(X_105,X_12))) != multiply(add(X_10,X_12),X_12)
| add(X_12,multiply(X_10,multiply(X_105,X_12))) = X_12 ),
introduced(tautology,[equality,[$cnf( $equal(add(X_12,multiply(X_10,multiply(X_105,X_12))),multiply(add(X_10,X_12),X_12)) ),[1],$fot(X_12)]]) ).
cnf(refute_0_2491,plain,
( add(X_12,multiply(X_10,multiply(X_105,X_12))) != multiply(add(X_10,X_12),X_12)
| add(X_12,multiply(X_10,multiply(X_105,X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(multiply(add(X_10,X_12),X_12),X_12) )],[refute_0_2489,refute_0_2490]) ).
cnf(refute_0_2492,plain,
( add(multiply(X_10,multiply(X_105,X_12)),X_12) != multiply(add(X_10,X_12),X_12)
| add(X_12,multiply(X_10,multiply(X_105,X_12))) = X_12 ),
inference(resolve,[$cnf( $equal(add(X_12,multiply(X_10,multiply(X_105,X_12))),multiply(add(X_10,X_12),X_12)) )],[refute_0_2485,refute_0_2491]) ).
cnf(refute_0_2493,plain,
add(X_12,multiply(X_10,multiply(X_105,X_12))) = X_12,
inference(resolve,[$cnf( $equal(add(multiply(X_10,multiply(X_105,X_12)),X_12),multiply(add(X_10,X_12),X_12)) )],[refute_0_2482,refute_0_2492]) ).
cnf(refute_0_2494,plain,
add(X_56,multiply(X_246,multiply(X_247,X_56))) = X_56,
inference(subst,[],[refute_0_2493:[bind(X_10,$fot(X_246)),bind(X_105,$fot(X_247)),bind(X_12,$fot(X_56))]]) ).
cnf(refute_0_2495,plain,
( multiply(X_246,multiply(X_247,X_56)) != multiply(multiply(X_246,multiply(X_247,X_56)),add(X_56,multiply(X_246,multiply(X_247,X_56))))
| add(X_56,multiply(X_246,multiply(X_247,X_56))) != X_56
| multiply(X_246,multiply(X_247,X_56)) = multiply(multiply(X_246,multiply(X_247,X_56)),X_56) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(X_246,multiply(X_247,X_56)),multiply(multiply(X_246,multiply(X_247,X_56)),add(X_56,multiply(X_246,multiply(X_247,X_56))))) ),[1,1],$fot(X_56)]]) ).
cnf(refute_0_2496,plain,
( multiply(X_246,multiply(X_247,X_56)) != multiply(multiply(X_246,multiply(X_247,X_56)),add(X_56,multiply(X_246,multiply(X_247,X_56))))
| multiply(X_246,multiply(X_247,X_56)) = multiply(multiply(X_246,multiply(X_247,X_56)),X_56) ),
inference(resolve,[$cnf( $equal(add(X_56,multiply(X_246,multiply(X_247,X_56))),X_56) )],[refute_0_2494,refute_0_2495]) ).
cnf(refute_0_2497,plain,
multiply(X_246,multiply(X_247,X_56)) = multiply(multiply(X_246,multiply(X_247,X_56)),X_56),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_247,X_56)),multiply(multiply(X_246,multiply(X_247,X_56)),add(X_56,multiply(X_246,multiply(X_247,X_56))))) )],[refute_0_2478,refute_0_2496]) ).
cnf(refute_0_2498,plain,
multiply(multiply(X_246,multiply(X_247,X_56)),X_56) = multiply(X_56,multiply(X_246,multiply(X_247,X_56))),
inference(subst,[],[refute_0_2191:[bind(X_188,$fot(X_56)),bind(X_190,$fot(multiply(X_246,multiply(X_247,X_56))))]]) ).
cnf(refute_0_2499,plain,
( multiply(X_246,multiply(X_247,X_56)) != multiply(multiply(X_246,multiply(X_247,X_56)),X_56)
| multiply(multiply(X_246,multiply(X_247,X_56)),X_56) != multiply(X_56,multiply(X_246,multiply(X_247,X_56)))
| multiply(X_246,multiply(X_247,X_56)) = multiply(X_56,multiply(X_246,multiply(X_247,X_56))) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_246,multiply(X_247,X_56)),multiply(X_56,multiply(X_246,multiply(X_247,X_56)))) ),[0],$fot(multiply(multiply(X_246,multiply(X_247,X_56)),X_56))]]) ).
cnf(refute_0_2500,plain,
( multiply(X_246,multiply(X_247,X_56)) != multiply(multiply(X_246,multiply(X_247,X_56)),X_56)
| multiply(X_246,multiply(X_247,X_56)) = multiply(X_56,multiply(X_246,multiply(X_247,X_56))) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_246,multiply(X_247,X_56)),X_56),multiply(X_56,multiply(X_246,multiply(X_247,X_56)))) )],[refute_0_2498,refute_0_2499]) ).
cnf(refute_0_2501,plain,
multiply(X_246,multiply(X_247,X_56)) = multiply(X_56,multiply(X_246,multiply(X_247,X_56))),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_247,X_56)),multiply(multiply(X_246,multiply(X_247,X_56)),X_56)) )],[refute_0_2497,refute_0_2500]) ).
cnf(refute_0_2502,plain,
( multiply(X_246,multiply(X_247,X_56)) != multiply(X_56,multiply(X_246,multiply(X_247,X_56)))
| multiply(X_56,multiply(X_246,multiply(X_247,X_56))) = multiply(X_246,multiply(X_247,X_56)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_246,multiply(X_247,X_56)))),bind(Y0,$fot(multiply(X_56,multiply(X_246,multiply(X_247,X_56)))))]]) ).
cnf(refute_0_2503,plain,
multiply(X_56,multiply(X_246,multiply(X_247,X_56))) = multiply(X_246,multiply(X_247,X_56)),
inference(resolve,[$cnf( $equal(multiply(X_246,multiply(X_247,X_56)),multiply(X_56,multiply(X_246,multiply(X_247,X_56)))) )],[refute_0_2501,refute_0_2502]) ).
cnf(refute_0_2504,plain,
multiply(X_11,multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)),
inference(subst,[],[refute_0_2503:[bind(X_246,$fot(X_226)),bind(X_247,$fot(X_10)),bind(X_56,$fot(X_11))]]) ).
cnf(refute_0_2505,plain,
multiply(multiply(X_226,multiply(X_10,X_11)),X_11) = multiply(X_11,multiply(X_226,multiply(X_10,X_11))),
inference(subst,[],[refute_0_4:[bind(X,$fot(X_11)),bind(Y,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2506,plain,
( multiply(X_11,multiply(X_226,multiply(X_10,X_11))) != multiply(X_226,multiply(X_10,X_11))
| multiply(multiply(X_226,multiply(X_10,X_11)),X_11) != multiply(X_11,multiply(X_226,multiply(X_10,X_11)))
| multiply(multiply(X_226,multiply(X_10,X_11)),X_11) = multiply(X_226,multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(multiply(X_226,multiply(X_10,X_11)),X_11))),bind(Y0,$fot(multiply(X_11,multiply(X_226,multiply(X_10,X_11))))),bind(Z0,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2507,plain,
( multiply(X_11,multiply(X_226,multiply(X_10,X_11))) != multiply(X_226,multiply(X_10,X_11))
| multiply(multiply(X_226,multiply(X_10,X_11)),X_11) = multiply(X_226,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,multiply(X_10,X_11)),X_11),multiply(X_11,multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_2505,refute_0_2506]) ).
cnf(refute_0_2508,plain,
multiply(multiply(X_226,multiply(X_10,X_11)),X_11) = multiply(X_226,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_11,multiply(X_226,multiply(X_10,X_11))),multiply(X_226,multiply(X_10,X_11))) )],[refute_0_2504,refute_0_2507]) ).
cnf(refute_0_2509,plain,
multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = add(multiply(X,multiply(X_170,X_171)),multiply(inverse(X_170),multiply(X_170,X_171))),
inference(subst,[],[distributivity3:[bind(Y,$fot(inverse(X_170))),bind(Z,$fot(multiply(X_170,X_171)))]]) ).
cnf(refute_0_2510,plain,
additive_identity = multiply(inverse(X_170),multiply(X_170,X_171)),
inference(subst,[],[refute_0_959:[bind(X_85,$fot(X_170)),bind(X_87,$fot(X_171))]]) ).
cnf(refute_0_2511,plain,
( additive_identity != multiply(inverse(X_170),multiply(X_170,X_171))
| multiply(inverse(X_170),multiply(X_170,X_171)) = additive_identity ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(additive_identity)),bind(Y0,$fot(multiply(inverse(X_170),multiply(X_170,X_171))))]]) ).
cnf(refute_0_2512,plain,
multiply(inverse(X_170),multiply(X_170,X_171)) = additive_identity,
inference(resolve,[$cnf( $equal(additive_identity,multiply(inverse(X_170),multiply(X_170,X_171))) )],[refute_0_2510,refute_0_2511]) ).
cnf(refute_0_2513,plain,
( multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) != add(multiply(X,multiply(X_170,X_171)),multiply(inverse(X_170),multiply(X_170,X_171)))
| multiply(inverse(X_170),multiply(X_170,X_171)) != additive_identity
| multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = add(multiply(X,multiply(X_170,X_171)),additive_identity) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(add(X,inverse(X_170)),multiply(X_170,X_171)),add(multiply(X,multiply(X_170,X_171)),multiply(inverse(X_170),multiply(X_170,X_171)))) ),[1,1],$fot(additive_identity)]]) ).
cnf(refute_0_2514,plain,
( multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) != add(multiply(X,multiply(X_170,X_171)),multiply(inverse(X_170),multiply(X_170,X_171)))
| multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = add(multiply(X,multiply(X_170,X_171)),additive_identity) ),
inference(resolve,[$cnf( $equal(multiply(inverse(X_170),multiply(X_170,X_171)),additive_identity) )],[refute_0_2512,refute_0_2513]) ).
cnf(refute_0_2515,plain,
multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = add(multiply(X,multiply(X_170,X_171)),additive_identity),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_170)),multiply(X_170,X_171)),add(multiply(X,multiply(X_170,X_171)),multiply(inverse(X_170),multiply(X_170,X_171)))) )],[refute_0_2509,refute_0_2514]) ).
cnf(refute_0_2516,plain,
add(additive_identity,multiply(multiply(X_170,X_171),X)) = multiply(multiply(X_170,X_171),X),
inference(subst,[],[additive_id2:[bind(X,$fot(multiply(multiply(X_170,X_171),X)))]]) ).
cnf(refute_0_2517,plain,
add(multiply(X,multiply(X_170,X_171)),additive_identity) = add(additive_identity,multiply(multiply(X_170,X_171),X)),
inference(subst,[],[refute_0_2110:[bind(X_11,$fot(additive_identity)),bind(X_151,$fot(multiply(X_170,X_171))),bind(X_152,$fot(X))]]) ).
cnf(refute_0_2518,plain,
( add(multiply(X,multiply(X_170,X_171)),additive_identity) != add(additive_identity,multiply(multiply(X_170,X_171),X))
| add(additive_identity,multiply(multiply(X_170,X_171),X)) != multiply(multiply(X_170,X_171),X)
| add(multiply(X,multiply(X_170,X_171)),additive_identity) = multiply(multiply(X_170,X_171),X) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(add(multiply(X,multiply(X_170,X_171)),additive_identity))),bind(Y0,$fot(add(additive_identity,multiply(multiply(X_170,X_171),X)))),bind(Z0,$fot(multiply(multiply(X_170,X_171),X)))]]) ).
cnf(refute_0_2519,plain,
( add(additive_identity,multiply(multiply(X_170,X_171),X)) != multiply(multiply(X_170,X_171),X)
| add(multiply(X,multiply(X_170,X_171)),additive_identity) = multiply(multiply(X_170,X_171),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_170,X_171)),additive_identity),add(additive_identity,multiply(multiply(X_170,X_171),X))) )],[refute_0_2517,refute_0_2518]) ).
cnf(refute_0_2520,plain,
add(multiply(X,multiply(X_170,X_171)),additive_identity) = multiply(multiply(X_170,X_171),X),
inference(resolve,[$cnf( $equal(add(additive_identity,multiply(multiply(X_170,X_171),X)),multiply(multiply(X_170,X_171),X)) )],[refute_0_2516,refute_0_2519]) ).
cnf(refute_0_2521,plain,
( multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) != add(multiply(X,multiply(X_170,X_171)),additive_identity)
| add(multiply(X,multiply(X_170,X_171)),additive_identity) != multiply(multiply(X_170,X_171),X)
| multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = multiply(multiply(X_170,X_171),X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(add(X,inverse(X_170)),multiply(X_170,X_171)),multiply(multiply(X_170,X_171),X)) ),[0],$fot(add(multiply(X,multiply(X_170,X_171)),additive_identity))]]) ).
cnf(refute_0_2522,plain,
( multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) != add(multiply(X,multiply(X_170,X_171)),additive_identity)
| multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = multiply(multiply(X_170,X_171),X) ),
inference(resolve,[$cnf( $equal(add(multiply(X,multiply(X_170,X_171)),additive_identity),multiply(multiply(X_170,X_171),X)) )],[refute_0_2520,refute_0_2521]) ).
cnf(refute_0_2523,plain,
multiply(add(X,inverse(X_170)),multiply(X_170,X_171)) = multiply(multiply(X_170,X_171),X),
inference(resolve,[$cnf( $equal(multiply(add(X,inverse(X_170)),multiply(X_170,X_171)),add(multiply(X,multiply(X_170,X_171)),additive_identity)) )],[refute_0_2515,refute_0_2522]) ).
cnf(refute_0_2524,plain,
multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) = multiply(multiply(X_226,multiply(X_10,X_11)),X_11),
inference(subst,[],[refute_0_2523:[bind(X,$fot(X_11)),bind(X_170,$fot(X_226)),bind(X_171,$fot(multiply(X_10,X_11)))]]) ).
cnf(refute_0_2525,plain,
( multiply(multiply(X_226,multiply(X_10,X_11)),X_11) != multiply(X_226,multiply(X_10,X_11))
| multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) != multiply(multiply(X_226,multiply(X_10,X_11)),X_11)
| multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))))),bind(Y0,$fot(multiply(multiply(X_226,multiply(X_10,X_11)),X_11))),bind(Z0,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2526,plain,
( multiply(multiply(X_226,multiply(X_10,X_11)),X_11) != multiply(X_226,multiply(X_10,X_11))
| multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))),multiply(multiply(X_226,multiply(X_10,X_11)),X_11)) )],[refute_0_2524,refute_0_2525]) ).
cnf(refute_0_2527,plain,
multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(multiply(X_226,multiply(X_10,X_11)),X_11),multiply(X_226,multiply(X_10,X_11))) )],[refute_0_2508,refute_0_2526]) ).
cnf(refute_0_2528,plain,
inverse(inverse(add(X_315,inverse(X_314)))) = add(X_315,inverse(X_314)),
inference(subst,[],[refute_0_219:[bind(X_37,$fot(add(X_315,inverse(X_314))))]]) ).
cnf(refute_0_2529,plain,
inverse(add(X_315,inverse(X_314))) = multiply(X_314,inverse(X_315)),
inference(subst,[],[refute_0_1420:[bind(X_312,$fot(X_314)),bind(X_313,$fot(X_315))]]) ).
cnf(refute_0_2530,plain,
( inverse(add(X_315,inverse(X_314))) != multiply(X_314,inverse(X_315))
| inverse(inverse(add(X_315,inverse(X_314)))) != add(X_315,inverse(X_314))
| inverse(multiply(X_314,inverse(X_315))) = add(X_315,inverse(X_314)) ),
introduced(tautology,[equality,[$cnf( $equal(inverse(inverse(add(X_315,inverse(X_314)))),add(X_315,inverse(X_314))) ),[0,0],$fot(multiply(X_314,inverse(X_315)))]]) ).
cnf(refute_0_2531,plain,
( inverse(inverse(add(X_315,inverse(X_314)))) != add(X_315,inverse(X_314))
| inverse(multiply(X_314,inverse(X_315))) = add(X_315,inverse(X_314)) ),
inference(resolve,[$cnf( $equal(inverse(add(X_315,inverse(X_314))),multiply(X_314,inverse(X_315))) )],[refute_0_2529,refute_0_2530]) ).
cnf(refute_0_2532,plain,
inverse(multiply(X_314,inverse(X_315))) = add(X_315,inverse(X_314)),
inference(resolve,[$cnf( $equal(inverse(inverse(add(X_315,inverse(X_314)))),add(X_315,inverse(X_314))) )],[refute_0_2528,refute_0_2531]) ).
cnf(refute_0_2533,plain,
inverse(multiply(X_226,inverse(X_11))) = add(X_11,inverse(X_226)),
inference(subst,[],[refute_0_2532:[bind(X_314,$fot(X_226)),bind(X_315,$fot(X_11))]]) ).
cnf(refute_0_2534,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),
introduced(tautology,[refl,[$fot(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2535,plain,
( multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| inverse(multiply(X_226,inverse(X_11))) != add(X_11,inverse(X_226))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) ),
introduced(tautology,[equality,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) ),[1,0],$fot(add(X_11,inverse(X_226)))]]) ).
cnf(refute_0_2536,plain,
( inverse(multiply(X_226,inverse(X_11))) != add(X_11,inverse(X_226))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_2534,refute_0_2535]) ).
cnf(refute_0_2537,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))),
inference(resolve,[$cnf( $equal(inverse(multiply(X_226,inverse(X_11))),add(X_11,inverse(X_226))) )],[refute_0_2533,refute_0_2536]) ).
cnf(refute_0_2538,plain,
( multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) != multiply(X_226,multiply(X_10,X_11))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) != multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11)))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)) ),
inference(subst,[],[refute_0_128:[bind(X0,$fot(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))))),bind(Y0,$fot(multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))))),bind(Z0,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2539,plain,
( multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))) != multiply(X_226,multiply(X_10,X_11))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_2537,refute_0_2538]) ).
cnf(refute_0_2540,plain,
multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) = multiply(X_226,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(add(X_11,inverse(X_226)),multiply(X_226,multiply(X_10,X_11))),multiply(X_226,multiply(X_10,X_11))) )],[refute_0_2527,refute_0_2539]) ).
cnf(refute_0_2541,plain,
( multiply(X_10,multiply(X_11,X_226)) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))) != multiply(X_226,multiply(X_10,X_11))
| multiply(X_10,multiply(X_11,X_226)) = multiply(X_226,multiply(X_10,X_11)) ),
introduced(tautology,[equality,[$cnf( ~ $equal(multiply(X_10,multiply(X_11,X_226)),multiply(X_226,multiply(X_10,X_11))) ),[0],$fot(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2542,plain,
( multiply(X_10,multiply(X_11,X_226)) != multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))
| multiply(X_10,multiply(X_11,X_226)) = multiply(X_226,multiply(X_10,X_11)) ),
inference(resolve,[$cnf( $equal(multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11))),multiply(X_226,multiply(X_10,X_11))) )],[refute_0_2540,refute_0_2541]) ).
cnf(refute_0_2543,plain,
multiply(X_10,multiply(X_11,X_226)) = multiply(X_226,multiply(X_10,X_11)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_11,X_226)),multiply(inverse(multiply(X_226,inverse(X_11))),multiply(X_226,multiply(X_10,X_11)))) )],[refute_0_2477,refute_0_2542]) ).
cnf(refute_0_2544,plain,
( multiply(X_10,multiply(X_11,X_226)) != multiply(X_226,multiply(X_10,X_11))
| multiply(X_226,multiply(X_10,X_11)) = multiply(X_10,multiply(X_11,X_226)) ),
inference(subst,[],[refute_0_2:[bind(X0,$fot(multiply(X_10,multiply(X_11,X_226)))),bind(Y0,$fot(multiply(X_226,multiply(X_10,X_11))))]]) ).
cnf(refute_0_2545,plain,
multiply(X_226,multiply(X_10,X_11)) = multiply(X_10,multiply(X_11,X_226)),
inference(resolve,[$cnf( $equal(multiply(X_10,multiply(X_11,X_226)),multiply(X_226,multiply(X_10,X_11))) )],[refute_0_2543,refute_0_2544]) ).
cnf(refute_0_2546,plain,
multiply(c,multiply(a,b)) = multiply(a,multiply(b,c)),
inference(subst,[],[refute_0_2545:[bind(X_10,$fot(a)),bind(X_11,$fot(b)),bind(X_226,$fot(c))]]) ).
cnf(refute_0_2547,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_2548,plain,
( multiply(a,multiply(b,c)) != multiply(a,multiply(b,c))
| multiply(a,multiply(b,c)) = multiply(c,multiply(a,b)) ),
inference(resolve,[$cnf( $equal(multiply(c,multiply(a,b)),multiply(a,multiply(b,c))) )],[refute_0_2546,refute_0_2547]) ).
cnf(refute_0_2549,plain,
multiply(a,multiply(b,c)) != multiply(a,multiply(b,c)),
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(c,multiply(a,b))) )],[refute_0_2548,refute_0_8]) ).
cnf(refute_0_2550,plain,
multiply(a,multiply(b,c)) = multiply(a,multiply(b,c)),
introduced(tautology,[refl,[$fot(multiply(a,multiply(b,c)))]]) ).
cnf(refute_0_2551,plain,
$false,
inference(resolve,[$cnf( $equal(multiply(a,multiply(b,c)),multiply(a,multiply(b,c))) )],[refute_0_2550,refute_0_2549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : BOO007-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13 % Command : metis --show proof --show saturation %s
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 1 17:50:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 11.13/11.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.13/11.29
% 11.13/11.29 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 11.42/11.58
%------------------------------------------------------------------------------